path: "vendor/opentheory/data/theories/hardware-bus-thm/hardware-bus-thm.art"
6 version nil "=" const 0 def "->" typeOp 1 def 1 ref "Hardware.bus" typeOp nil opType 2 def 1 ref 2 ref "bool" typeOp nil opType 3 def nil cons 4 def cons opType 5 def nil cons 6 def cons opType 7 def 1 ref 7 ref 4 ref cons opType 8 def nil cons cons opType constTerm 9 def "Hardware.Bus.connect" const 7 ref constTerm 10 def appTerm "Hardware.Bus.lift2" const 1 ref 1 ref "Hardware.wire" typeOp nil opType 11 def 1 ref 11 ref 4 ref cons opType 12 def nil cons 13 def cons opType 14 def 7 ref nil cons 15 def cons opType constTerm 16 def "Hardware.connect" const 14 ref constTerm 17 def appTerm 18 def appTerm axiom 19 def "Hardware.Bus.nil" const 2 ref constTerm 20 def refl 21 def appThm 21 ref appThm sym nil "r" 14 ref var 22 def 17 ref nil cons 23 def cons nil cons 24 def nil cons cons 25 def nil "y" 2 ref var 26 def 20 ref nil cons 27 def cons 28 def "x" 2 ref var 29 def 27 ref cons 30 def nil cons 31 def cons 32 def nil cons cons 33 def 26 ref 0 ref 1 ref 3 ref 1 ref 3 ref 4 ref cons opType 34 def nil cons cons opType 35 def constTerm 36 def 16 ref 22 ref varTerm 37 def appTerm 38 def 29 ref varTerm 39 def appTerm 40 def 26 ref varTerm 41 def appTerm 42 def appTerm "Data.Bool.?" const 43 def 1 ref 1 ref "Number.Natural.natural" typeOp nil opType 44 def 4 ref cons opType 45 def 4 ref cons opType 46 def constTerm 47 def "n" 44 ref var 48 def "Data.Bool./\\" const 35 ref constTerm 49 def 0 ref 1 ref 44 ref 45 ref nil cons 50 def cons opType 51 def constTerm 52 def "Hardware.Bus.width" const 1 ref 2 ref 44 ref nil cons 53 def cons opType constTerm 54 def 39 ref appTerm 55 def appTerm 56 def 48 ref varTerm 57 def appTerm 58 def appTerm 59 def 49 ref 52 ref 54 ref 41 ref appTerm 60 def appTerm 61 def 57 ref appTerm 62 def appTerm 63 def "Data.Bool.!" const 64 def 46 ref constTerm 65 def "i" 44 ref var 66 def 64 ref 1 ref 12 ref 4 ref cons opType 67 def constTerm 68 def "xi" 11 ref var 69 def 68 ref "yi" 11 ref var 70 def "Data.Bool.==>" const 35 ref constTerm 71 def 49 ref "Hardware.Bus.wire" const 1 ref 2 ref 1 ref 44 ref 13 remove cons opType nil cons cons opType constTerm 72 def 39 ref appTerm 73 def 66 ref varTerm 74 def appTerm 75 def 69 ref varTerm 76 def appTerm 77 def appTerm 78 def 72 ref 41 ref appTerm 79 def 74 ref appTerm 80 def 70 ref varTerm 81 def appTerm 82 def appTerm 83 def appTerm 84 def 37 ref 76 ref appTerm 81 ref appTerm 85 def appTerm absTerm 86 def appTerm 87 def absTerm 88 def appTerm 89 def absTerm 90 def appTerm 91 def appTerm 92 def appTerm 93 def absTerm 94 def appTerm 95 def appTerm absTerm 96 def 41 ref appTerm 97 def betaConv 29 ref 64 ref 1 ref 5 ref 4 ref cons opType 98 def constTerm 99 def 96 ref appTerm 100 def absTerm 101 def 39 ref appTerm 102 def betaConv 22 ref 99 ref 101 ref appTerm 103 def absTerm 104 def 37 ref appTerm 105 def betaConv nil 64 ref 1 ref 1 ref 14 ref 4 ref cons opType 106 def 4 ref cons opType 107 def constTerm 108 def 104 ref appTerm 109 def axiom nil "p" 3 ref var 110 def 109 remove nil cons cons "q" 3 ref var 111 def 105 remove nil cons cons nil cons cons nil cons cons 36 ref 71 ref 110 ref varTerm 112 def appTerm 113 def 111 ref varTerm 114 def appTerm 115 def appTerm refl 110 ref 111 ref 36 ref 49 ref 112 ref appTerm 116 def 114 ref appTerm 117 def appTerm 118 def 112 ref appTerm absTerm 119 def absTerm 120 def 112 ref appTerm betaConv 114 ref refl 121 def appThm 119 remove 114 ref appTerm betaConv trans appThm nil 0 ref 1 ref 35 ref 1 ref 35 ref 4 ref cons opType 122 def nil cons cons opType constTerm 123 def 71 ref appTerm 120 remove appTerm axiom 112 ref refl 124 def appThm 121 ref appThm eqMp 125 def sym 126 def 118 remove refl 111 ref 0 ref 1 ref 122 ref 1 ref 122 remove 4 ref cons opType nil cons cons opType constTerm 127 def "f" 35 ref var 128 def 128 ref varTerm 129 def 112 ref appTerm 114 ref appTerm absTerm 130 def appTerm 128 ref 129 ref "Data.Bool.T" const 3 ref constTerm 131 def appTerm 131 ref appTerm absTerm 132 def appTerm absTerm 133 def 114 ref appTerm betaConv appThm 0 ref 1 ref 34 ref 1 ref 34 ref 4 ref cons opType 134 def nil cons cons opType constTerm 135 def 116 ref appTerm refl 110 ref 133 remove absTerm 136 def 112 ref appTerm betaConv appThm nil 123 ref 49 ref appTerm 136 ref appTerm axiom 137 def 124 ref appThm eqMp 121 ref appThm eqMp 138 def sym 128 ref 129 ref refl nil "t" 3 ref var 139 def 112 ref nil cons 140 def cons nil cons nil cons cons 141 def 36 ref 139 ref varTerm 142 def appTerm 143 def 131 ref appTerm 144 def assume sym nil 131 ref axiom 145 def eqMp 142 ref assume 145 ref deductAntisym deductAntisym 146 def subst 112 ref assume 147 def eqMp appThm nil 139 ref 114 ref nil cons 148 def cons nil cons nil cons cons 146 ref subst 114 ref assume 149 def eqMp appThm absThm eqMp 150 def nil "P" 3 ref var 151 def 140 ref cons 152 def "Q" 3 ref var 153 def 148 ref cons nil cons 154 def cons nil cons cons 36 ref refl 155 def 128 ref 129 remove 151 ref varTerm 156 def appTerm 157 def 153 ref varTerm 158 def appTerm absTerm 159 def 110 ref 111 ref 112 ref absTerm absTerm 160 def appTerm betaConv 160 ref 156 ref appTerm betaConv 158 ref refl 161 def appThm 111 ref 156 ref absTerm 158 ref appTerm betaConv trans trans appThm 132 ref 160 ref appTerm betaConv 160 ref 131 ref appTerm betaConv 131 ref refl 162 def appThm 111 ref 131 ref absTerm 131 ref appTerm betaConv trans trans appThm 36 ref 49 ref 156 ref appTerm 163 def 158 ref appTerm 164 def appTerm refl 111 ref 127 remove 128 remove 157 remove 114 ref appTerm absTerm appTerm 132 ref appTerm absTerm 158 ref appTerm betaConv appThm 135 ref 163 remove appTerm refl 136 remove 156 ref appTerm betaConv appThm 137 remove 156 ref refl 165 def appThm eqMp 161 ref appThm eqMp 164 remove assume eqMp 166 def 160 remove refl appThm eqMp sym 145 ref eqMp 167 def subst 168 def deductAntisym eqMp 125 remove 115 ref assume 169 def eqMp sym 147 ref eqMp 155 ref 130 remove 110 ref 111 ref 114 ref absTerm 170 def absTerm 171 def appTerm betaConv 171 ref 112 ref appTerm betaConv 121 remove appThm 170 ref 114 ref appTerm betaConv trans trans appThm 132 remove 171 ref appTerm betaConv 171 ref 131 ref appTerm betaConv 162 remove appThm 170 ref 131 ref appTerm betaConv trans trans 172 def appThm 138 remove 117 ref assume eqMp 171 ref refl 173 def appThm eqMp sym 145 ref eqMp 174 def proveHyp deductAntisym 175 def subst proveHyp "A" 14 ref nil cons 176 def cons nil cons 177 def "P" 106 remove var 178 def 104 remove nil cons cons "x" 14 ref var 179 def 37 ref nil cons cons nil cons 180 def cons nil cons cons nil 110 ref 64 ref 1 ref 1 ref "A" varType 181 def 4 ref cons opType 182 def 4 ref cons opType 183 def constTerm 184 def "P" 182 ref var 185 def varTerm 186 def appTerm 187 def nil cons 188 def cons 111 ref 186 ref "x" 181 ref var 189 def varTerm 190 def appTerm 191 def nil cons 192 def cons nil cons cons nil cons cons 193 def 126 ref subst 193 remove 174 remove 150 remove deductAntisym 194 def subst 36 ref 191 ref appTerm refl 189 ref 131 ref absTerm 195 def 190 ref appTerm betaConv appThm "p" 182 ref var 196 def 0 ref 1 ref 182 ref 183 ref nil cons cons opType constTerm 196 ref varTerm 197 def appTerm 195 remove appTerm absTerm 198 def 186 ref appTerm betaConv 199 def nil 0 ref 1 ref 183 ref 1 ref 183 ref 4 ref cons opType 200 def nil cons cons opType constTerm 201 def 184 ref appTerm 198 remove appTerm axiom 186 ref refl 202 def appThm 203 def 187 ref assume eqMp eqMp 190 ref refl 204 def appThm eqMp sym 145 ref eqMp eqMp nil 151 ref 188 remove cons 153 ref 192 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 205 def subst eqMp eqMp nil 110 ref 103 remove nil cons cons 111 ref 102 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 2 ref nil cons 206 def cons nil cons 207 def "P" 5 remove var 208 def 101 remove nil cons cons 29 ref 39 ref nil cons 209 def cons nil cons 210 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 100 remove nil cons cons 111 ref 97 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 96 remove nil cons cons 29 ref 41 ref nil cons 211 def cons 212 def nil cons 213 def cons nil cons cons 205 ref subst eqMp eqMp 214 def subst 47 ref refl 215 def 48 ref 49 ref refl 216 def 52 ref refl 217 def nil 52 ref 54 ref 20 ref appTerm 218 def appTerm 219 def "Number.Natural.zero" const 44 ref constTerm 220 def appTerm axiom 221 def appThm 57 ref refl 222 def appThm appThm 223 def 223 ref 65 ref refl 224 def 66 ref 68 ref refl 225 def 69 ref 225 ref 70 ref 71 ref refl 226 def 216 ref nil "w" 11 ref var 227 def 76 ref nil cons 228 def cons 229 def nil cons 230 def nil cons cons 231 def nil 31 ref nil cons cons 232 def 227 ref 36 ref 75 ref 227 ref varTerm 233 def appTerm 234 def appTerm "Hardware.Bus.sub" const 1 ref 2 ref 1 ref 44 ref 1 ref 44 ref 6 remove cons opType nil cons cons opType nil cons cons opType constTerm 235 def 39 ref appTerm 236 def 74 ref appTerm 237 def "Number.Natural.bit1" const 1 ref 44 ref 53 ref cons opType 238 def constTerm 239 def 220 ref appTerm 240 def appTerm 241 def "Hardware.Bus.single" const 1 ref 11 ref 206 ref cons opType constTerm 242 def 233 ref appTerm 243 def appTerm 244 def appTerm 245 def absTerm 246 def 233 ref appTerm 247 def betaConv 66 ref 68 ref 246 ref appTerm 248 def absTerm 249 def 74 ref appTerm 250 def betaConv 29 ref 65 ref 249 ref appTerm 251 def absTerm 252 def 39 ref appTerm 253 def betaConv nil 99 ref 252 ref appTerm 254 def axiom 255 def nil 110 ref 254 remove nil cons cons 111 ref 253 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 252 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 251 remove nil cons cons 111 ref 250 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 53 ref cons nil cons 256 def "P" 45 ref var 257 def 249 remove nil cons cons "x" 44 ref var 258 def 74 ref nil cons 259 def cons nil cons 260 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 248 remove nil cons cons 111 ref 247 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 11 ref nil cons cons nil cons 261 def "P" 12 remove var 262 def 246 remove nil cons cons "x" 11 ref var 263 def 233 ref nil cons 264 def cons nil cons 265 def cons nil cons cons 205 ref subst eqMp eqMp 266 def subst nil 29 ref 243 ref nil cons 267 def cons 268 def 48 ref 240 ref nil cons 269 def cons 270 def "k" 44 ref var 271 def 259 ref cons 272 def nil cons 273 def cons 274 def cons nil cons cons 29 ref 36 ref 235 ref 20 ref appTerm 271 ref varTerm 275 def appTerm 57 ref appTerm 39 ref appTerm appTerm 49 ref 52 ref 275 ref appTerm 220 ref appTerm appTerm 49 ref 52 ref 57 ref appTerm 276 def 220 ref appTerm 277 def appTerm 0 ref 7 ref constTerm 278 def 39 ref appTerm 279 def 20 ref appTerm 280 def appTerm appTerm appTerm absTerm 281 def 39 ref appTerm 282 def betaConv 48 ref 99 ref 281 ref appTerm 283 def absTerm 284 def 57 ref appTerm 285 def betaConv 271 ref 65 ref 284 ref appTerm 286 def absTerm 287 def 275 ref appTerm 288 def betaConv nil 65 ref 287 ref appTerm 289 def axiom nil 110 ref 289 remove nil cons cons 111 ref 288 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 287 remove nil cons cons 258 ref 275 ref nil cons 290 def cons nil cons 291 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 286 remove nil cons cons 111 ref 285 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 284 remove nil cons cons 258 ref 57 ref nil cons 292 def cons nil cons 293 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 283 remove nil cons cons 111 ref 282 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 281 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp subst trans 49 ref 52 ref 74 ref appTerm 294 def 220 ref appTerm 295 def appTerm 296 def refl 297 def 216 ref 217 ref nil 48 ref 220 ref nil cons 298 def cons nil cons nil cons cons 299 def 48 ref 52 ref 239 remove 57 ref appTerm appTerm "Number.Natural.suc" const 238 ref constTerm 300 def "Number.Natural.bit0" const 238 ref constTerm 301 def 57 ref appTerm appTerm appTerm absTerm 302 def 57 ref appTerm 303 def betaConv nil 65 ref 302 ref appTerm 304 def axiom nil 110 ref 304 remove nil cons cons 111 ref 303 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 302 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp subst 300 ref refl 305 def nil 52 ref 301 ref 220 ref appTerm appTerm 220 ref appTerm axiom appThm trans 306 def appThm 299 ref 222 ref subst 307 def appThm 299 remove 48 ref "Data.Bool.~" const 34 ref constTerm 308 def 52 ref 300 ref 57 ref appTerm 309 def appTerm 220 ref appTerm 310 def appTerm 311 def absTerm 312 def 57 ref appTerm 313 def betaConv nil 65 ref 312 ref appTerm 314 def axiom nil 110 ref 314 remove nil cons cons 111 ref 313 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 312 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 311 remove nil cons cons 111 ref 36 ref 310 ref appTerm "Data.Bool.F" const 3 ref constTerm 315 def appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 151 ref 310 remove nil cons cons nil cons nil cons cons nil 110 ref 308 ref 156 ref appTerm 316 def nil cons 317 def cons 111 ref 36 ref 156 ref appTerm 315 ref appTerm nil cons 318 def cons nil cons cons nil cons cons 319 def 126 ref subst 319 remove 194 ref subst nil 110 ref 156 ref nil cons 320 def cons 111 ref 315 ref nil cons 321 def cons nil cons 322 def cons nil cons cons 126 ref 194 ref 36 ref 112 ref appTerm 114 ref appTerm 323 def assume 324 def 147 remove eqMp eqMp 168 remove deductAntisym eqMp 325 def nil 110 ref 115 ref nil cons 326 def cons 327 def 111 ref 71 ref 114 ref appTerm 328 def 112 ref appTerm nil cons 329 def cons nil cons cons nil cons cons 194 ref subst proveHyp 328 ref refl 324 remove appThm sym nil 110 ref 148 ref cons 330 def 111 ref 148 ref cons nil cons cons nil cons cons 331 def 126 ref subst 331 remove 194 ref subst 149 remove eqMp nil 151 ref 148 ref cons 154 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 330 ref 111 ref 140 ref cons nil cons cons nil cons cons 175 ref subst nil 151 ref 326 ref cons 332 def 153 ref 329 remove cons nil cons cons nil cons cons 333 def 155 ref 159 remove 171 ref appTerm betaConv 171 remove 156 ref appTerm betaConv 161 ref appThm 170 remove 158 ref appTerm betaConv trans trans appThm 172 remove appThm 166 remove 173 remove appThm eqMp sym 145 ref eqMp 334 def subst eqMp 175 ref 333 remove 167 ref subst eqMp deductAntisym deductAntisym 335 def subst 36 ref 316 ref appTerm refl 110 ref 113 ref 315 ref appTerm absTerm 336 def 156 ref appTerm betaConv appThm nil 135 ref 308 ref appTerm 336 remove appTerm axiom 165 ref appThm eqMp 316 remove assume eqMp nil 110 ref 71 ref 156 ref appTerm 337 def 315 ref appTerm nil cons cons 111 ref 71 ref 315 ref appTerm 338 def 156 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 321 ref cons 111 ref 320 ref cons nil cons cons nil cons cons 339 def 126 ref subst 339 remove 194 ref subst 110 ref 112 ref absTerm 340 def 156 ref appTerm 341 def betaConv nil 36 ref 315 ref appTerm 342 def 64 ref 134 remove constTerm 343 def 340 ref appTerm 344 def appTerm axiom 315 ref assume eqMp nil 110 ref 344 remove nil cons cons 111 ref 341 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 4 ref cons nil cons 345 def "P" 34 ref var 346 def 340 remove nil cons cons "x" 3 ref var 347 def 320 ref cons nil cons cons nil cons cons 205 ref subst eqMp eqMp 348 def eqMp nil 151 ref 321 ref cons 153 ref 320 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 317 remove cons 153 ref 318 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 349 def subst eqMp 350 def subst 351 def trans appThm 278 ref 243 ref appTerm 352 def 20 ref appTerm 353 def refl appThm nil 139 ref 353 remove nil cons cons nil cons nil cons cons 139 ref 36 ref 49 ref 315 ref appTerm 354 def 142 ref appTerm appTerm 315 ref appTerm absTerm 355 def 142 ref appTerm 356 def betaConv nil 343 ref 355 ref appTerm 357 def axiom nil 110 ref 357 remove nil cons cons 111 ref 356 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 355 remove nil cons cons 347 ref 142 ref nil cons cons nil cons 358 def cons nil cons cons 205 ref subst eqMp eqMp 359 def subst trans appThm nil 139 ref 295 ref nil cons 360 def cons nil cons nil cons cons 139 ref 36 ref 49 ref 142 ref appTerm 361 def 315 ref appTerm appTerm 315 ref appTerm absTerm 362 def 142 ref appTerm 363 def betaConv nil 343 ref 362 ref appTerm 364 def axiom nil 110 ref 364 remove nil cons cons 111 ref 363 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 362 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 365 def subst 366 def trans trans 367 def subst appThm 368 def nil 227 ref 81 ref nil cons 369 def cons 370 def nil cons 371 def nil cons cons 372 def 367 ref subst 373 def appThm nil 139 ref 321 remove cons nil cons nil cons cons 374 def 359 ref subst 375 def trans appThm 85 ref refl 376 def appThm nil 139 ref 85 ref nil cons 377 def cons nil cons nil cons cons 139 ref 36 ref 338 ref 142 ref appTerm appTerm 131 ref appTerm absTerm 378 def 142 ref appTerm 379 def betaConv nil 343 ref 378 ref appTerm 380 def axiom nil 110 ref 380 remove nil cons cons 111 ref 379 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 378 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 381 def subst trans absThm appThm nil 139 ref 131 ref nil cons 382 def cons nil cons nil cons cons 383 def 261 ref nil nil cons 384 def cons 385 def 139 ref 36 ref 184 ref 189 ref 142 ref absTerm appTerm appTerm 142 ref appTerm absTerm 386 def 142 ref appTerm 387 def betaConv nil 343 ref 386 ref appTerm 388 def axiom nil 110 ref 388 remove nil cons cons 111 ref 387 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 386 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 389 def subst subst 390 def trans absThm appThm 390 ref trans absThm appThm 383 ref 256 ref 384 ref cons 391 def 389 ref subst subst 392 def trans appThm nil 139 ref 52 ref 220 ref appTerm 57 ref appTerm nil cons cons nil cons nil cons cons 393 def 139 ref 36 ref 361 ref 131 ref appTerm appTerm 142 ref appTerm absTerm 394 def 142 ref appTerm 395 def betaConv nil 343 ref 394 ref appTerm 396 def axiom nil 110 ref 396 remove nil cons cons 111 ref 395 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 394 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 397 def subst 398 def trans appThm 393 remove 139 ref 36 ref 361 remove 142 ref appTerm appTerm 142 ref appTerm absTerm 399 def 142 ref appTerm 400 def betaConv nil 343 ref 399 ref appTerm 401 def axiom nil 110 ref 401 remove nil cons cons 111 ref 400 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 399 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 402 def subst 403 def trans absThm appThm nil "a" 44 ref var 404 def 298 ref cons nil cons nil cons cons 391 ref nil 139 ref 43 ref 183 ref constTerm 405 def 189 ref 0 ref 1 ref 181 ref 182 ref nil cons 406 def cons opType constTerm 407 def "a" 181 ref var 408 def varTerm 409 def appTerm 190 ref appTerm absTerm appTerm 410 def nil cons cons nil cons nil cons cons 146 ref subst 408 ref 410 remove absTerm 411 def 409 ref appTerm 412 def betaConv 184 ref refl 408 ref 405 ref refl 189 ref nil "y" 181 ref var 413 def 409 ref nil cons 414 def cons nil cons nil cons cons 413 ref 36 ref 407 ref 190 ref appTerm 415 def 413 ref varTerm 416 def appTerm 417 def appTerm 407 ref 416 ref appTerm 418 def 190 ref appTerm 419 def appTerm absTerm 420 def 416 ref appTerm 421 def betaConv 189 ref 184 ref 420 ref appTerm 422 def absTerm 423 def 190 ref appTerm 424 def betaConv nil 184 ref 423 ref appTerm 425 def axiom nil 110 ref 425 remove nil cons cons 111 ref 424 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 181 ref nil cons 426 def cons nil cons 427 def 185 ref 423 remove nil cons cons 189 ref 190 ref nil cons cons nil cons 428 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 422 remove nil cons cons 111 ref 421 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 420 remove nil cons cons 189 ref 416 ref nil cons cons nil cons 429 def cons nil cons cons 205 ref subst eqMp eqMp 430 def subst absThm appThm absThm appThm nil 184 ref 408 remove 405 ref 189 ref 415 ref 409 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 110 ref 184 ref 411 ref appTerm nil cons cons 111 ref 412 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 411 remove nil cons cons 189 ref 414 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp 431 def eqMp subst 432 def subst 433 def trans trans 434 def sym 145 ref eqMp 435 def subst eqMp nil 10 ref 20 ref appTerm 20 ref appTerm thm nil 9 ref "Hardware.Bus.delay" const 7 ref constTerm 436 def appTerm 16 ref "Hardware.delay" const 14 ref constTerm 437 def appTerm 438 def appTerm axiom 439 def 21 ref appThm 21 ref appThm sym nil 22 ref 437 ref nil cons cons nil cons 440 def nil cons cons 441 def 435 ref subst eqMp nil 436 ref 20 ref appTerm 20 ref appTerm thm nil 9 remove "Hardware.Bus.not" const 7 ref constTerm 442 def appTerm 16 ref "Hardware.not" const 14 ref constTerm 443 def appTerm 444 def appTerm axiom 445 def 21 ref appThm 21 ref appThm sym nil 22 ref 443 ref nil cons cons nil cons 446 def nil cons cons 447 def 435 ref subst eqMp nil 442 ref 20 ref appTerm 20 ref appTerm thm 33 remove 26 ref 36 ref "Hardware.Bus.reverse" const 7 ref constTerm 448 def 39 ref appTerm 41 ref appTerm 449 def appTerm 49 ref 56 ref 60 ref appTerm 450 def appTerm 451 def 65 ref 66 ref 65 ref "j" 44 ref var 452 def 68 ref 69 ref 68 ref "yj" 11 ref var 453 def 71 ref 49 ref 52 ref "Number.Natural.+" const 1 ref 44 ref 238 ref nil cons 454 def cons opType 455 def constTerm 456 def 74 ref appTerm 457 def 456 ref 452 ref varTerm 458 def appTerm 459 def 240 ref appTerm 460 def appTerm appTerm 461 def 55 ref appTerm appTerm 462 def 78 ref 79 ref 458 ref appTerm 463 def 453 ref varTerm 464 def appTerm 465 def appTerm 466 def appTerm appTerm 0 ref 14 ref constTerm 467 def 76 ref appTerm 468 def 464 ref appTerm 469 def appTerm 470 def absTerm 471 def appTerm 472 def absTerm 473 def appTerm 474 def absTerm 475 def appTerm 476 def absTerm 477 def appTerm 478 def appTerm 479 def appTerm absTerm 480 def 41 ref appTerm 481 def betaConv 29 ref 99 ref 480 ref appTerm 482 def absTerm 483 def 39 ref appTerm 484 def betaConv nil 99 ref 483 ref appTerm 485 def axiom nil 110 ref 485 remove nil cons cons 111 ref 484 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 483 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 482 remove nil cons cons 111 ref 481 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 480 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp 486 def subst 216 ref nil 258 ref 218 ref nil cons cons nil cons 487 def nil cons cons 391 ref nil 139 ref 415 ref 190 ref appTerm nil cons cons nil cons nil cons cons 146 ref subst 204 remove eqMp 488 def subst 489 def subst appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 217 ref 457 ref refl 490 def 459 ref refl 491 def 306 ref appThm appThm appThm 221 ref appThm nil 48 ref 459 ref 300 ref 220 ref appTerm 492 def appTerm nil cons cons "m" 44 ref var 493 def 259 ref cons 494 def nil cons 495 def cons nil cons cons 48 ref 36 ref 52 ref 456 ref 493 ref varTerm 496 def appTerm 497 def 57 ref appTerm 498 def appTerm 499 def 220 ref appTerm appTerm 49 ref 52 ref 496 ref appTerm 500 def 220 ref appTerm 501 def appTerm 277 remove appTerm appTerm absTerm 502 def 57 ref appTerm 503 def betaConv 493 ref 65 ref 502 ref appTerm 504 def absTerm 505 def 496 ref appTerm 506 def betaConv nil 65 ref 505 ref appTerm 507 def axiom nil 110 ref 507 remove nil cons cons 111 ref 506 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 505 remove nil cons cons 258 ref 496 ref nil cons 508 def cons nil cons 509 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 504 remove nil cons cons 111 ref 503 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 502 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 510 def subst 297 remove nil 48 ref 492 remove nil cons cons 493 ref 458 ref nil cons 511 def cons nil cons 512 def cons nil cons cons 510 remove subst 49 ref 52 ref 458 ref appTerm 513 def 220 ref appTerm 514 def appTerm 515 def refl 351 remove appThm nil 139 ref 514 remove nil cons 516 def cons nil cons nil cons cons 365 remove subst trans trans appThm 366 remove trans trans trans appThm 49 ref 72 ref 20 ref appTerm 517 def 74 ref appTerm 518 def 76 ref appTerm appTerm 517 remove 458 ref appTerm 464 ref appTerm appTerm 519 def refl appThm nil 139 ref 519 remove nil cons cons nil cons nil cons cons 359 ref subst trans appThm 469 ref refl 520 def appThm nil 139 ref 469 ref nil cons 521 def cons nil cons nil cons cons 522 def 381 ref subst trans absThm appThm 390 ref trans absThm appThm 390 ref trans absThm appThm 392 ref trans absThm appThm 392 ref trans appThm 383 ref 139 ref 36 ref 49 ref 131 ref appTerm 523 def 142 ref appTerm appTerm 142 ref appTerm absTerm 524 def 142 ref appTerm 525 def betaConv nil 343 ref 524 ref appTerm 526 def axiom nil 110 ref 526 remove nil cons cons 111 ref 525 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 524 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 527 def subst 528 def trans trans sym 145 ref eqMp nil 448 ref 20 ref appTerm 20 ref appTerm thm nil 0 ref 1 ref 1 ref 2 ref 15 ref cons opType 529 def 1 ref 529 ref 4 ref cons opType 530 def nil cons cons opType constTerm 531 def "Hardware.Bus.and2" const 529 ref constTerm 532 def appTerm "Hardware.Bus.lift3" const 1 ref 1 ref 11 ref 176 remove cons opType 533 def 529 ref nil cons 534 def cons opType constTerm 535 def "Hardware.and2" const 533 ref constTerm 536 def appTerm 537 def appTerm axiom 538 def 21 ref appThm 21 ref appThm 21 ref appThm sym nil "r" 533 ref var 539 def 536 ref nil cons cons nil cons 540 def nil cons cons 541 def nil "z" 2 ref var 542 def 27 ref cons 543 def 32 remove cons nil cons cons 542 ref 36 ref 535 ref 539 ref varTerm 544 def appTerm 545 def 39 ref appTerm 546 def 41 ref appTerm 542 ref varTerm 547 def appTerm 548 def appTerm 47 ref 48 ref 59 ref 63 ref 49 ref 52 ref 54 ref 547 ref appTerm appTerm 549 def 57 ref appTerm 550 def appTerm 551 def 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref "zi" 11 ref var 552 def 71 ref 78 ref 49 ref 82 ref appTerm 553 def 72 ref 547 ref appTerm 554 def 74 ref appTerm 555 def 552 ref varTerm 556 def appTerm 557 def appTerm 558 def appTerm 559 def appTerm 560 def 544 ref 76 ref appTerm 561 def 81 ref appTerm 556 ref appTerm 562 def appTerm absTerm 563 def appTerm 564 def absTerm 565 def appTerm 566 def absTerm 567 def appTerm 568 def absTerm 569 def appTerm 570 def appTerm 571 def appTerm 572 def appTerm 573 def absTerm 574 def appTerm 575 def appTerm absTerm 576 def 547 ref appTerm 577 def betaConv 26 ref 99 ref 576 ref appTerm 578 def absTerm 579 def 41 ref appTerm 580 def betaConv 29 ref 99 ref 579 ref appTerm 581 def absTerm 582 def 39 ref appTerm 583 def betaConv 539 ref 99 ref 582 ref appTerm 584 def absTerm 585 def 544 ref appTerm 586 def betaConv nil 64 ref 1 ref 1 ref 533 ref 4 ref cons opType 587 def 4 ref cons opType constTerm 588 def 585 ref appTerm 589 def axiom nil 110 ref 589 remove nil cons cons 111 ref 586 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 533 ref nil cons 590 def cons nil cons 591 def "P" 587 remove var 592 def 585 remove nil cons cons "x" 533 ref var 544 ref nil cons cons nil cons 593 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 584 remove nil cons cons 111 ref 583 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 582 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 581 remove nil cons cons 111 ref 580 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 579 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 578 remove nil cons cons 111 ref 577 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 576 remove nil cons cons 29 ref 547 ref nil cons 594 def cons nil cons 595 def cons nil cons cons 205 ref subst eqMp eqMp 596 def subst 215 ref 48 ref 223 ref 223 ref 223 remove 224 ref 66 ref 225 ref 69 ref 225 ref 70 ref 225 ref 552 ref 226 ref 368 remove 216 ref 373 remove appThm nil 227 ref 556 ref nil cons 597 def cons 598 def nil cons nil cons cons 367 ref subst appThm 375 ref trans appThm 375 ref trans appThm 562 ref refl 599 def appThm nil 139 ref 562 ref nil cons 600 def cons nil cons nil cons cons 381 ref subst trans absThm appThm 390 ref trans absThm appThm 390 ref trans absThm appThm 390 ref trans absThm appThm 392 ref trans appThm 398 remove trans appThm 403 ref trans appThm 403 remove trans absThm appThm 433 remove trans trans 601 def sym 145 ref eqMp 602 def subst eqMp 603 def nil 532 ref 20 ref appTerm 20 ref appTerm 604 def 20 ref appTerm 605 def thm nil 531 ref "Hardware.Bus.or2" const 529 ref constTerm 606 def appTerm 535 ref "Hardware.or2" const 533 ref constTerm 607 def appTerm 608 def appTerm axiom 609 def 21 ref appThm 21 ref appThm 21 ref appThm sym nil 539 ref 607 ref nil cons cons nil cons 610 def nil cons cons 611 def 602 ref subst eqMp 612 def nil 606 ref 20 ref appTerm 20 ref appTerm 613 def 20 ref appTerm 614 def thm nil 531 ref "Hardware.Bus.xor2" const 529 ref constTerm 615 def appTerm 535 ref "Hardware.xor2" const 533 ref constTerm 616 def appTerm 617 def appTerm axiom 618 def 21 ref appThm 21 ref appThm 21 ref appThm sym nil 539 ref 616 ref nil cons cons nil cons 619 def nil cons cons 620 def 602 ref subst eqMp 621 def nil 615 ref 20 ref appTerm 20 ref appTerm 622 def 20 ref appTerm 623 def thm 99 ref refl 624 def 29 ref 19 ref 39 ref refl 625 def appThm 626 def 625 ref appThm absThm appThm sym nil 68 ref 263 ref 17 ref 263 ref varTerm 627 def appTerm 628 def 627 ref appTerm absTerm appTerm axiom nil 110 ref 68 ref 227 ref 17 ref 233 ref appTerm 233 ref appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 18 ref 39 ref appTerm 629 def 39 ref appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 25 ref nil 110 ref 68 ref 227 ref 37 ref 233 ref appTerm 630 def 233 ref appTerm 631 def absTerm 632 def appTerm 633 def nil cons 634 def cons 635 def 111 ref 99 ref 29 ref 40 remove 39 ref appTerm 636 def absTerm 637 def appTerm 638 def nil cons 639 def cons nil cons cons nil cons cons 640 def 126 ref subst 640 remove 194 ref subst nil 208 ref 637 remove nil cons cons nil cons nil cons cons 207 ref 384 ref cons 641 def 36 ref 187 remove appTerm refl 199 remove appThm 203 remove eqMp sym 642 def subst 643 def subst 29 ref nil 139 ref 636 remove nil cons cons nil cons nil cons cons 146 ref subst nil 26 ref 209 ref cons 644 def nil cons 645 def nil cons cons 214 ref subst sym 48 ref 59 ref 59 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 78 ref 75 ref 81 ref appTerm 646 def appTerm 647 def appTerm 648 def 85 ref appTerm 649 def absTerm 650 def appTerm 651 def absTerm 652 def appTerm 653 def absTerm 654 def appTerm 655 def appTerm appTerm absTerm 656 def 55 ref appTerm betaConv sym 216 ref nil 258 ref 55 ref nil cons 657 def cons nil cons 658 def nil cons cons 489 ref subst 659 def appThm 660 def 660 ref 655 ref refl appThm nil 139 ref 655 remove nil cons cons nil cons nil cons cons 527 ref subst 661 def trans appThm 661 remove trans sym nil 257 ref 654 remove nil cons cons nil cons nil cons cons 391 ref 642 ref subst 662 def subst 66 ref nil 139 ref 653 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 652 remove nil cons cons nil cons nil cons cons 385 ref 642 ref subst 663 def subst 69 ref nil 139 ref 651 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 650 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 649 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 647 remove nil cons 664 def cons 111 ref 377 ref cons nil cons 665 def cons nil cons cons 666 def 126 ref subst 666 remove 194 ref subst nil 151 ref 77 ref nil cons 667 def cons 668 def 153 ref 646 ref nil cons 669 def cons nil cons cons nil cons cons 670 def 167 ref subst 670 remove 334 ref subst "w2" 11 ref var 671 def 71 ref 78 ref 75 ref 671 ref varTerm 672 def appTerm 673 def appTerm appTerm 468 ref 672 ref appTerm appTerm absTerm 674 def 81 ref appTerm 675 def betaConv "w1" 11 ref var 676 def 68 ref 671 ref 71 ref 49 ref 75 ref 676 ref varTerm 677 def appTerm appTerm 673 remove appTerm appTerm 467 ref 677 ref appTerm 672 ref appTerm 678 def appTerm 679 def absTerm 680 def appTerm 681 def absTerm 682 def 76 ref appTerm 683 def betaConv nil 262 ref 682 ref nil cons cons 684 def nil cons nil cons cons 663 ref subst 676 ref nil 139 ref 681 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 680 remove nil cons cons nil cons nil cons cons 663 ref subst 671 ref nil 139 ref 679 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref nil 227 ref 677 ref nil cons 685 def cons nil cons nil cons cons 266 ref subst appThm nil 227 ref 672 ref nil cons 686 def cons nil cons nil cons cons 266 ref subst appThm appThm 678 ref refl appThm sym nil 110 ref 49 ref 241 ref 242 ref 677 ref appTerm 687 def appTerm 688 def appTerm 241 ref 242 ref 672 ref appTerm 689 def appTerm 690 def appTerm nil cons 691 def cons 111 ref 678 ref nil cons 692 def cons nil cons 693 def cons nil cons cons 694 def 126 ref subst 694 remove 194 ref subst nil 151 ref 688 ref nil cons 695 def cons 153 ref 690 ref nil cons 696 def cons nil cons cons nil cons cons 697 def 167 ref subst 697 remove 334 ref subst 29 ref 47 ref 271 ref 47 ref 48 ref 49 ref 236 ref 275 ref appTerm 698 def 57 ref appTerm 699 def 687 ref appTerm appTerm 699 ref 689 ref appTerm appTerm absTerm appTerm absTerm 700 def appTerm absTerm 701 def 39 ref appTerm betaConv sym 700 ref 74 ref appTerm betaConv sym 48 ref 49 ref 237 remove 57 ref appTerm 702 def 687 ref appTerm appTerm 702 ref 689 ref appTerm appTerm absTerm 703 def 240 ref appTerm betaConv sym 216 ref nil 139 ref 695 remove cons nil cons nil cons cons 146 ref subst 688 remove assume eqMp appThm nil 139 ref 696 remove cons nil cons nil cons cons 146 ref subst 690 remove assume eqMp appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 703 remove nil cons cons 258 ref 269 ref cons nil cons 704 def cons nil cons cons 36 ref 405 ref 186 ref appTerm 705 def appTerm 706 def refl 196 ref 343 ref 111 ref 71 ref 184 ref 189 ref 71 ref 197 ref 190 ref appTerm 707 def appTerm 114 ref appTerm absTerm appTerm 708 def appTerm 114 ref appTerm absTerm appTerm absTerm 709 def 186 remove appTerm betaConv appThm nil 201 remove 405 ref appTerm 709 remove appTerm axiom 202 remove appThm eqMp 710 def sym nil 346 ref 153 ref 71 ref 184 ref 189 ref 71 ref 191 remove appTerm 711 def 158 ref appTerm absTerm 712 def appTerm 713 def appTerm 158 ref appTerm 714 def absTerm nil cons cons nil cons nil cons cons 345 ref 384 ref cons 715 def 642 ref subst subst 153 ref nil 139 ref 714 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 713 remove nil cons 716 def cons 717 def 111 ref 158 ref nil cons 718 def cons nil cons 719 def cons nil cons cons 720 def 126 ref subst 720 ref 194 ref subst nil 110 ref 192 remove cons 719 ref cons nil cons cons 175 ref subst 712 ref 190 ref appTerm 721 def betaConv nil 717 ref 111 ref 721 remove nil cons cons nil cons cons nil cons cons 175 ref subst 427 ref 185 ref 712 remove nil cons cons 428 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 716 remove cons 722 def 153 ref 718 ref cons nil cons 723 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 724 def subst proveHyp eqMp 256 ref 257 ref 700 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 701 ref nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 43 ref 98 remove constTerm 725 def 701 remove appTerm nil cons cons 111 ref 278 ref 687 ref appTerm 689 ref appTerm 726 def nil cons 727 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 542 ref 689 ref nil cons cons 26 ref 687 ref nil cons cons nil cons cons nil cons cons 542 ref 71 ref 725 ref 29 ref 47 ref 271 ref 47 ref 48 ref 49 ref 699 ref 41 ref appTerm 728 def appTerm 729 def 699 ref 547 ref appTerm 730 def appTerm 731 def absTerm 732 def appTerm 733 def absTerm 734 def appTerm 735 def absTerm 736 def appTerm 737 def appTerm 738 def 278 ref 41 ref appTerm 739 def 547 ref appTerm 740 def appTerm 741 def absTerm 742 def 547 ref appTerm 743 def betaConv 26 ref 99 ref 742 ref appTerm 744 def absTerm 745 def 41 ref appTerm 746 def betaConv nil 99 ref 29 ref 65 ref 271 ref 65 ref 48 ref 99 ref 26 ref 99 ref 542 ref 71 ref 731 ref appTerm 740 ref appTerm absTerm 747 def appTerm 748 def absTerm 749 def appTerm 750 def absTerm 751 def appTerm 752 def absTerm 753 def appTerm 754 def absTerm 755 def appTerm 756 def axiom nil 110 ref 756 ref nil cons 757 def cons 758 def 111 ref 99 ref 745 ref appTerm nil cons 759 def cons nil cons cons nil cons cons 760 def 175 ref subst proveHyp 760 ref 126 ref subst 760 remove 194 ref subst nil 208 ref 745 remove nil cons cons 761 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 744 remove nil cons 762 def cons nil cons nil cons cons 146 ref subst nil 208 ref 742 remove nil cons cons 763 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 741 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 737 remove nil cons 764 def cons 765 def 111 ref 740 ref nil cons 766 def cons nil cons 767 def cons nil cons cons 768 def 126 ref subst 768 remove 194 ref subst nil 758 ref 767 ref cons nil cons cons 769 def 175 ref subst nil 765 remove 111 ref 71 ref 756 remove appTerm 740 remove appTerm 770 def nil cons 771 def cons nil cons 772 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 736 ref 39 ref appTerm 773 def appTerm 770 ref appTerm 774 def absTerm 775 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 774 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 773 ref nil cons 776 def cons 772 ref cons nil cons cons 777 def 126 ref subst 777 remove 194 ref subst 773 ref betaConv 773 remove assume eqMp nil 110 ref 735 ref nil cons cons 772 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 734 ref 275 ref appTerm 778 def appTerm 770 ref appTerm 779 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 779 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 778 ref nil cons 780 def cons 772 ref cons nil cons cons 781 def 126 ref subst 781 remove 194 ref subst 778 ref betaConv 778 remove assume eqMp nil 110 ref 733 ref nil cons cons 772 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 732 ref 57 ref appTerm 782 def appTerm 770 ref appTerm 783 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 783 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 782 ref nil cons 784 def cons 772 ref cons nil cons cons 785 def 126 ref subst 785 remove 194 ref subst 782 ref betaConv 782 remove assume eqMp nil 110 ref 731 remove nil cons 786 def cons 787 def 772 remove cons nil cons cons 788 def 175 ref subst proveHyp 788 ref 126 ref subst 788 remove 194 ref subst 769 ref 126 ref subst 769 remove 194 ref subst nil 787 remove 767 remove cons nil cons cons 175 ref subst 747 ref 547 ref appTerm 789 def betaConv 749 ref 41 ref appTerm 790 def betaConv 751 ref 57 ref appTerm 791 def betaConv 753 ref 275 ref appTerm 792 def betaConv 755 ref 39 ref appTerm 793 def betaConv nil 758 remove 111 ref 793 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 755 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 754 remove nil cons cons 111 ref 792 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 753 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 752 remove nil cons cons 111 ref 791 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 751 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 750 remove nil cons cons 111 ref 790 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 749 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 748 remove nil cons cons 111 ref 789 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 747 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 757 remove cons 794 def 153 ref 766 remove cons nil cons 795 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 786 remove cons 153 ref 771 remove cons nil cons 796 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 784 remove cons 796 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 732 ref 258 ref varTerm 797 def appTerm appTerm 770 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 733 remove appTerm 770 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 732 remove nil cons cons 796 ref cons nil cons cons nil 717 remove 111 ref 71 ref 705 ref appTerm 798 def 158 ref appTerm nil cons 799 def cons nil cons cons nil cons cons 800 def 126 ref subst 800 remove 194 ref subst nil 110 ref 705 remove nil cons 801 def cons 802 def 719 remove cons nil cons cons 803 def 126 ref subst 803 remove 194 ref subst 720 remove 175 ref subst 111 ref 71 ref 184 ref 189 ref 711 remove 114 ref appTerm absTerm appTerm appTerm 114 ref appTerm absTerm 804 def 158 ref appTerm 805 def betaConv nil 802 remove 111 ref 343 ref 804 ref appTerm 806 def nil cons 807 def cons nil cons cons nil cons cons 808 def 175 ref subst 710 remove nil 110 ref 706 remove 806 ref appTerm nil cons cons 111 ref 798 remove 806 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 808 remove nil 110 ref 323 remove nil cons 809 def cons 111 ref 326 ref cons nil cons cons nil cons cons 810 def 126 ref subst 810 remove 194 ref subst 325 remove eqMp nil 151 ref 809 remove cons 153 ref 326 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp subst eqMp eqMp nil 110 ref 807 remove cons 111 ref 805 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 804 remove nil cons cons 347 ref 718 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 801 remove cons 723 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 722 remove 153 ref 799 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 811 def subst eqMp eqMp eqMp nil 151 ref 780 remove cons 796 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 734 ref 797 ref appTerm appTerm 770 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 735 remove appTerm 770 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 734 remove nil cons cons 796 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 776 remove cons 796 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 775 remove appTerm nil cons cons 111 ref 738 remove 770 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 736 remove nil cons cons 796 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 764 remove cons 795 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 794 remove 153 ref 759 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 759 remove cons 111 ref 746 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 761 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 762 remove cons 111 ref 743 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 763 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 727 remove cons 693 remove cons nil cons cons 175 ref subst proveHyp 671 ref 71 ref 726 ref appTerm 678 ref appTerm absTerm 812 def 672 ref appTerm 813 def betaConv 676 ref 68 ref 812 ref appTerm 814 def absTerm 815 def 677 ref appTerm 816 def betaConv nil 68 ref 815 ref appTerm 817 def axiom nil 110 ref 817 remove nil cons cons 111 ref 816 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 815 remove nil cons cons 263 ref 685 remove cons nil cons 818 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 814 remove nil cons cons 111 ref 813 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 812 remove nil cons cons 263 ref 686 remove cons nil cons 819 def cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 691 remove cons 153 ref 692 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 820 def nil 110 ref 68 ref 682 remove appTerm 821 def nil cons 822 def cons 111 ref 683 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 684 remove 263 ref 228 ref cons 823 def nil cons 824 def cons nil cons cons 205 ref subst eqMp eqMp 825 def nil 110 ref 68 ref 674 ref appTerm nil cons cons 826 def 111 ref 675 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 674 ref nil cons cons 827 def 263 ref 369 ref cons nil cons 828 def cons nil cons cons 205 ref subst eqMp eqMp 829 def nil 110 ref 648 remove 468 ref 81 ref appTerm 830 def appTerm nil cons cons 831 def 665 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 216 ref nil 139 ref 667 ref cons nil cons nil cons cons 146 ref subst 77 ref assume 832 def eqMp 833 def appThm 834 def nil 139 ref 669 ref cons nil cons nil cons cons 146 ref subst 646 ref assume eqMp appThm 528 ref trans appThm 830 ref refl appThm nil 139 ref 830 ref nil cons 835 def cons nil cons nil cons cons 139 ref 36 ref 71 ref 131 ref appTerm 836 def 142 ref appTerm appTerm 142 ref appTerm absTerm 837 def 142 ref appTerm 838 def betaConv nil 343 ref 837 ref appTerm 839 def axiom nil 110 ref 839 remove nil cons cons 111 ref 838 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 837 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 840 def subst trans appThm 841 def 376 ref appThm sym nil 110 ref 835 ref cons 842 def 665 ref cons nil cons cons 843 def 126 ref subst 843 remove 194 ref subst 36 ref "_31986" 11 ref var 844 def 37 ref 844 remove varTerm appTerm 81 ref appTerm absTerm 845 def 76 ref appTerm 846 def appTerm refl 845 ref 81 ref appTerm betaConv appThm 155 ref 846 remove betaConv appThm 37 ref 81 ref appTerm 81 ref appTerm refl appThm trans 845 remove refl 830 remove assume 847 def appThm eqMp sym 372 remove nil 139 ref 631 remove nil cons cons nil cons nil cons cons 146 ref subst 632 ref 233 ref appTerm 848 def betaConv nil 635 remove 111 ref 848 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 632 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst sym 145 ref eqMp eqMp eqMp nil 151 ref 835 remove cons 849 def 153 ref 377 ref cons nil cons 850 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 664 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 656 remove nil cons cons 658 ref cons nil cons cons 724 ref subst proveHyp eqMp eqMp absThm eqMp eqMp nil 151 ref 634 remove cons 153 ref 639 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 851 def subst eqMp eqMp 852 def nil 99 ref 29 ref 10 ref 39 ref appTerm 853 def 39 ref appTerm 854 def absTerm 855 def appTerm 856 def thm nil 543 remove 28 remove 30 remove "w" 2 ref var 857 def 27 remove cons nil cons cons cons cons nil cons cons 858 def 542 ref 36 ref "Hardware.Bus.and3" const 1 ref 2 ref 534 ref cons opType 859 def constTerm 860 def 857 ref varTerm 861 def appTerm 39 ref appTerm 41 ref appTerm 547 ref appTerm 862 def appTerm 725 ref "wx" 2 ref var 863 def 49 ref 532 ref 861 ref appTerm 864 def 39 ref appTerm 865 def 863 ref varTerm 866 def appTerm 867 def appTerm 868 def 532 ref 866 ref appTerm 869 def 41 ref appTerm 547 ref appTerm 870 def appTerm 871 def absTerm 872 def appTerm 873 def appTerm absTerm 874 def 547 ref appTerm 875 def betaConv 26 ref 99 ref 874 ref appTerm 876 def absTerm 877 def 41 ref appTerm 878 def betaConv 29 ref 99 ref 877 ref appTerm 879 def absTerm 880 def 39 ref appTerm 881 def betaConv 857 ref 99 ref 880 ref appTerm 882 def absTerm 883 def 861 ref appTerm 884 def betaConv nil 99 ref 883 ref appTerm 885 def axiom nil 110 ref 885 remove nil cons cons 111 ref 884 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 883 remove nil cons cons 29 ref 861 ref nil cons cons nil cons 886 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 882 remove nil cons cons 111 ref 881 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 880 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 879 remove nil cons cons 111 ref 878 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 877 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 876 remove nil cons cons 111 ref 875 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 874 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp 887 def subst sym 863 ref 49 ref 604 ref 866 ref appTerm appTerm 888 def 869 ref 20 ref appTerm 20 ref appTerm appTerm absTerm 889 def 20 ref appTerm betaConv sym nil 139 ref 605 ref nil cons cons nil cons nil cons cons 890 def 402 ref subst 890 remove 146 ref subst 603 remove eqMp 891 def trans sym 145 ref eqMp eqMp 207 ref 208 ref 889 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 860 ref 20 ref appTerm 20 ref appTerm 20 ref appTerm 20 ref appTerm thm 858 ref 542 ref 36 ref "Hardware.Bus.majority3" const 859 ref constTerm 892 def 861 ref appTerm 39 ref appTerm 41 ref appTerm 547 ref appTerm 893 def appTerm 725 ref 863 ref 725 ref "wy" 2 ref var 894 def 725 ref "xy" 2 ref var 895 def 868 ref 49 ref 864 remove 41 ref appTerm 896 def 894 ref varTerm 897 def appTerm 898 def appTerm 899 def 49 ref 532 ref 39 ref appTerm 900 def 41 ref appTerm 901 def 895 ref varTerm 902 def appTerm 903 def appTerm 904 def "Hardware.Bus.or3" const 859 ref constTerm 905 def 866 ref appTerm 906 def 897 ref appTerm 907 def 902 ref appTerm 908 def 547 ref appTerm 909 def appTerm 910 def appTerm 911 def appTerm 912 def absTerm 913 def appTerm 914 def absTerm 915 def appTerm 916 def absTerm 917 def appTerm 918 def appTerm absTerm 919 def 547 ref appTerm 920 def betaConv 26 ref 99 ref 919 ref appTerm 921 def absTerm 922 def 41 ref appTerm 923 def betaConv 29 ref 99 ref 922 ref appTerm 924 def absTerm 925 def 39 ref appTerm 926 def betaConv 857 ref 99 ref 925 ref appTerm 927 def absTerm 928 def 861 ref appTerm 929 def betaConv nil 99 ref 928 ref appTerm 930 def axiom nil 110 ref 930 remove nil cons cons 111 ref 929 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 928 remove nil cons cons 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 927 remove nil cons cons 111 ref 926 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 925 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 924 remove nil cons cons 111 ref 923 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 922 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 921 remove nil cons cons 111 ref 920 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 919 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp 931 def subst sym 863 ref 725 ref 894 ref 725 ref 895 ref 888 remove 49 ref 604 ref 897 ref appTerm appTerm 932 def 49 ref 604 remove 902 ref appTerm appTerm 933 def 908 ref 20 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 934 def 20 ref appTerm betaConv sym 894 ref 725 ref 895 ref 49 ref 605 remove appTerm 935 def 932 remove 933 ref 905 ref 20 ref appTerm 936 def 897 ref appTerm 902 ref appTerm 20 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 937 def 20 ref appTerm betaConv sym 895 ref 935 ref 935 remove 933 remove 936 remove 20 ref appTerm 938 def 902 ref appTerm 20 ref appTerm appTerm appTerm appTerm absTerm 939 def 20 ref appTerm betaConv sym 216 ref 891 remove appThm 940 def 940 ref 940 remove nil 139 ref 938 remove 20 ref appTerm 20 ref appTerm 941 def nil cons cons nil cons nil cons cons 146 ref subst 858 ref 542 ref 36 ref 905 ref 861 ref appTerm 39 ref appTerm 41 ref appTerm 547 ref appTerm 942 def appTerm 725 ref 863 ref 49 ref 606 ref 861 ref appTerm 943 def 39 ref appTerm 944 def 866 ref appTerm 945 def appTerm 946 def 606 ref 866 ref appTerm 947 def 41 ref appTerm 547 ref appTerm 948 def appTerm 949 def absTerm 950 def appTerm 951 def appTerm absTerm 952 def 547 ref appTerm 953 def betaConv 26 ref 99 ref 952 ref appTerm 954 def absTerm 955 def 41 ref appTerm 956 def betaConv 29 ref 99 ref 955 ref appTerm 957 def absTerm 958 def 39 ref appTerm 959 def betaConv 857 ref 99 ref 958 ref appTerm 960 def absTerm 961 def 861 ref appTerm 962 def betaConv nil 99 ref 961 ref appTerm 963 def axiom nil 110 ref 963 remove nil cons cons 111 ref 962 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 961 remove nil cons cons 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 960 remove nil cons cons 111 ref 959 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 958 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 957 remove nil cons cons 111 ref 956 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 955 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 954 remove nil cons cons 111 ref 953 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 952 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp 964 def subst sym 863 ref 49 ref 613 remove 866 ref appTerm appTerm 947 ref 20 ref appTerm 20 ref appTerm appTerm absTerm 965 def 20 ref appTerm betaConv sym nil 139 ref 614 remove nil cons cons nil cons nil cons cons 966 def 402 ref subst 966 remove 146 ref subst 612 remove eqMp trans sym 145 ref eqMp eqMp 207 ref 208 ref 965 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp 967 def eqMp appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 939 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 937 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 934 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 892 ref 20 ref appTerm 20 ref appTerm 20 ref appTerm 20 ref appTerm thm 967 remove nil 941 remove thm 858 remove 542 ref 36 ref "Hardware.Bus.xor3" const 859 remove constTerm 968 def 861 ref appTerm 39 ref appTerm 41 ref appTerm 547 ref appTerm 969 def appTerm 725 ref 863 ref 49 ref 615 ref 861 ref appTerm 970 def 39 ref appTerm 971 def 866 ref appTerm 972 def appTerm 973 def 615 ref 866 ref appTerm 974 def 41 ref appTerm 547 ref appTerm 975 def appTerm 976 def absTerm 977 def appTerm 978 def appTerm absTerm 979 def 547 ref appTerm 980 def betaConv 26 ref 99 ref 979 ref appTerm 981 def absTerm 982 def 41 ref appTerm 983 def betaConv 29 ref 99 ref 982 ref appTerm 984 def absTerm 985 def 39 ref appTerm 986 def betaConv 857 ref 99 ref 985 ref appTerm 987 def absTerm 988 def 861 ref appTerm 989 def betaConv nil 99 ref 988 ref appTerm 990 def axiom nil 110 ref 990 remove nil cons cons 111 ref 989 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 988 remove nil cons cons 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 987 remove nil cons cons 111 ref 986 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 985 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 984 remove nil cons cons 111 ref 983 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 982 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 981 remove nil cons cons 111 ref 980 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 979 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp 991 def subst sym 863 ref 49 ref 622 remove 866 ref appTerm appTerm 974 ref 20 ref appTerm 20 ref appTerm appTerm absTerm 992 def 20 ref appTerm betaConv sym nil 139 ref 623 remove nil cons cons nil cons nil cons cons 993 def 402 ref subst 993 remove 146 ref subst 621 remove eqMp trans sym 145 ref eqMp eqMp 207 ref 208 ref 992 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 968 ref 20 ref appTerm 20 ref appTerm 20 ref appTerm 20 ref appTerm thm 108 ref refl 994 def 22 ref 434 ref absThm appThm 383 ref 177 ref 384 ref cons 995 def 389 ref subst subst trans sym 145 ref eqMp nil 108 ref 22 ref 38 ref 20 ref appTerm 996 def 20 ref appTerm absTerm appTerm thm 624 ref 29 ref 725 ref refl 997 def 26 ref 626 remove 41 ref refl 998 def appThm 999 def absThm appThm absThm appThm sym nil 68 ref 263 ref 43 ref 67 remove constTerm 1000 def "y" 11 ref var 1001 def 628 remove 1001 ref varTerm 1002 def appTerm 1003 def absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 1000 ref 70 ref 17 ref 76 ref appTerm 81 ref appTerm 1004 def absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 725 ref 26 ref 629 remove 41 ref appTerm 1005 def absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 25 ref nil 110 ref 68 ref 69 ref 1000 ref 70 ref 85 ref absTerm appTerm absTerm 1006 def appTerm 1007 def nil cons 1008 def cons 1009 def 111 ref 99 ref 29 ref 725 ref 26 ref 42 ref absTerm appTerm 1010 def absTerm 1011 def appTerm 1012 def nil cons 1013 def cons nil cons cons nil cons cons 1014 def 126 ref subst 1014 remove 194 ref subst nil 208 ref 1011 ref nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1010 ref nil cons 1015 def cons nil cons nil cons cons 146 ref subst nil 404 ref 657 ref cons nil cons nil cons cons 391 ref 431 remove subst subst 1016 def nil 110 ref 47 ref 258 ref 56 ref 797 ref appTerm absTerm 1017 def appTerm nil cons cons 111 ref 1015 ref cons nil cons 1018 def cons nil cons cons 175 ref subst proveHyp 155 ref 226 ref 215 ref 493 ref 493 ref 56 ref 496 ref appTerm 1019 def absTerm 1020 def 496 ref appTerm betaConv 1021 def absThm appThm appThm 1022 def 1010 ref refl 1023 def appThm appThm 224 ref 258 ref 226 ref 1017 ref 797 ref appTerm betaConv appThm 1023 ref appThm absThm appThm appThm nil "p" 45 ref var 1024 def 1017 remove nil cons cons 1018 ref cons nil cons cons 391 ref 111 ref 36 ref 71 ref 405 ref 189 ref 707 ref absTerm appTerm appTerm 114 ref appTerm appTerm 708 remove appTerm absTerm 1025 def 114 ref appTerm 1026 def betaConv 196 ref 343 ref 1025 ref appTerm 1027 def absTerm 1028 def 197 ref appTerm 1029 def betaConv nil 64 ref 200 remove constTerm 1030 def 1028 ref appTerm 1031 def axiom nil 110 ref 1031 remove nil cons cons 111 ref 1029 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 406 remove cons nil cons 1032 def "P" 183 remove var 1033 def 1028 remove nil cons cons "x" 182 ref var 1034 def 197 ref nil cons cons nil cons 1035 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1027 remove nil cons cons 111 ref 1026 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 1025 remove nil cons cons 347 ref 148 remove cons nil cons 1036 def cons nil cons cons 205 ref subst eqMp eqMp subst 1037 def subst eqMp sym nil 257 ref 48 ref 71 ref 58 ref appTerm 1010 ref appTerm 1038 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 1038 ref nil cons cons nil cons nil cons cons 146 ref subst 29 ref 1038 remove absTerm 1039 def 39 ref appTerm 1040 def betaConv 48 ref 99 ref 1039 ref appTerm 1041 def absTerm 1042 def 57 ref appTerm 1043 def betaConv 1044 def nil 208 ref 29 ref 71 ref 56 ref 220 ref appTerm 1045 def appTerm 1010 ref appTerm 1046 def absTerm 1047 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1046 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 29 ref 36 ref 1045 ref appTerm 280 ref appTerm absTerm 1048 def 39 ref appTerm 1049 def betaConv nil 99 ref 1048 ref appTerm 1050 def axiom nil 110 ref 1050 remove nil cons cons 111 ref 1049 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1048 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp 1051 def appThm 1052 def 1023 ref appThm sym nil 110 ref 280 ref nil cons 1053 def cons 1054 def 1018 ref cons nil cons cons 1055 def 126 ref subst 1055 remove 194 ref subst 36 ref "_31968" 2 ref var 1056 def 725 ref 26 ref 38 ref 1056 remove varTerm appTerm 41 ref appTerm absTerm appTerm absTerm 1057 def 39 ref appTerm 1058 def appTerm refl 1059 def 1057 remove 20 ref appTerm betaConv appThm 155 ref 1058 remove betaConv appThm 1060 def 725 ref 26 ref 996 remove 41 ref appTerm absTerm 1061 def appTerm refl appThm trans 1011 remove refl 1062 def 280 ref assume 1063 def appThm eqMp sym 1061 ref 20 ref appTerm betaConv sym 435 remove eqMp 207 ref 208 ref 1061 remove nil cons cons 31 ref cons nil cons cons 724 ref subst proveHyp eqMp eqMp nil 151 ref 1053 remove cons 1064 def 153 ref 1015 remove cons nil cons 1065 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp nil 110 ref 99 ref 1047 remove appTerm 1066 def nil cons cons 111 ref 65 ref 48 ref 71 ref 1041 ref appTerm 99 ref 29 ref 71 ref 56 ref 309 ref appTerm 1067 def appTerm 1010 ref appTerm 1068 def absTerm 1069 def appTerm 1070 def appTerm 1071 def absTerm 1072 def appTerm 1073 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 1072 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 1071 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1041 ref nil cons 1074 def cons 1075 def 111 ref 1070 remove nil cons 1076 def cons nil cons cons nil cons cons 1077 def 126 ref subst 1077 remove 194 ref subst nil 208 ref 1069 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1068 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 29 ref 36 ref 1067 ref appTerm 1000 ref 227 ref 725 ref 26 ref 49 ref 279 ref "Hardware.Bus.append" const 1 ref 2 ref 1 ref 2 ref 206 ref cons opType nil cons cons opType constTerm 1078 def 243 ref appTerm 1079 def 41 ref appTerm 1080 def appTerm 1081 def appTerm 1082 def 62 ref appTerm 1083 def absTerm 1084 def appTerm 1085 def absTerm 1086 def appTerm 1087 def appTerm absTerm 1088 def 39 ref appTerm 1089 def betaConv 48 ref 99 ref 1088 ref appTerm 1090 def absTerm 1091 def 57 ref appTerm 1092 def betaConv nil 65 ref 1091 ref appTerm 1093 def axiom nil 110 ref 1093 remove nil cons cons 111 ref 1092 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1091 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1090 remove nil cons cons 111 ref 1089 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1088 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp 1094 def appThm 1095 def 1023 remove appThm sym nil 262 ref 227 ref 71 ref 1086 ref 233 ref appTerm 1096 def appTerm 1010 ref appTerm 1097 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 1097 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1096 ref nil cons 1098 def cons 1018 ref cons nil cons cons 1099 def 126 ref subst 1099 remove 194 ref subst 1096 ref betaConv 1096 remove assume eqMp nil 110 ref 1085 ref nil cons cons 1018 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 1084 ref 41 ref appTerm 1100 def appTerm 1010 ref appTerm 1101 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 1101 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1100 ref nil cons 1102 def cons 1018 ref cons nil cons cons 1103 def 126 ref subst 1103 remove 194 ref subst 1100 ref betaConv 1100 remove assume eqMp nil 110 ref 1083 remove nil cons 1104 def cons 1018 remove cons nil cons cons 1105 def 175 ref subst proveHyp 1105 ref 126 ref subst 1105 remove 194 ref subst nil 151 ref 1081 ref nil cons cons 1106 def 153 ref 62 ref nil cons 1107 def cons nil cons 1108 def cons nil cons cons 1109 def 167 ref subst 1109 remove 334 ref subst 1059 remove "_31980" 2 ref var 1110 def 725 ref 26 ref 38 ref 1110 remove varTerm appTerm 41 ref appTerm absTerm appTerm absTerm 1080 ref appTerm betaConv appThm 1060 remove 725 ref "y'" 2 ref var 1111 def 38 ref 1080 ref appTerm 1112 def 1111 ref varTerm 1113 def appTerm absTerm 1114 def appTerm 1115 def refl 1116 def appThm trans 1062 remove 1081 remove assume 1117 def appThm eqMp sym 29 ref 71 ref 450 ref appTerm 1118 def 1010 ref appTerm absTerm 1119 def 41 ref appTerm 1120 def betaConv 36 ref "_31976" 44 ref var 1121 def 99 ref 29 ref 71 ref 56 ref 1121 remove varTerm appTerm appTerm 1010 ref appTerm absTerm appTerm absTerm 1122 def 57 ref appTerm appTerm refl 1122 ref 60 ref appTerm betaConv appThm 155 ref 1044 ref appThm 99 ref 1119 ref appTerm 1123 def refl appThm trans 1122 remove refl 62 ref assume 1124 def sym appThm eqMp 1041 remove assume eqMp nil 110 ref 1123 remove nil cons cons 111 ref 1120 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1119 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 61 ref 60 ref appTerm appTerm 725 ref 1111 ref 38 ref 41 ref appTerm 1125 def 1113 ref appTerm absTerm 1126 def appTerm 1127 def appTerm nil cons cons 111 ref 1115 ref nil cons 1128 def cons nil cons 1129 def cons nil cons cons 175 ref subst proveHyp 226 ref nil 110 ref 1127 ref nil cons cons 258 ref 60 ref nil cons 1130 def cons nil cons 1131 def cons nil cons cons 391 ref 226 ref 488 ref appThm 124 remove appThm 141 remove 840 ref subst trans subst subst appThm 1116 remove appThm sym nil 208 ref 542 ref 71 ref 1126 ref 547 ref appTerm 1132 def appTerm 1115 ref appTerm 1133 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 1133 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1132 ref nil cons 1134 def cons 1129 ref cons nil cons cons 1135 def 126 ref subst 1135 remove 194 ref subst 1132 ref betaConv 1132 remove assume eqMp nil 110 ref 1125 remove 547 ref appTerm 1136 def nil cons 1137 def cons 1129 ref cons nil cons cons 1138 def 175 ref subst proveHyp 1138 ref 126 ref subst 1138 remove 194 ref subst 1006 ref 233 ref appTerm 1139 def betaConv nil 1009 remove 111 ref 1139 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 1006 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1000 ref 70 ref 630 ref 81 ref appTerm absTerm 1140 def appTerm 1141 def nil cons cons 1129 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 263 ref 71 ref 1140 ref 627 ref appTerm 1142 def appTerm 1115 ref appTerm 1143 def absTerm 1144 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 1143 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1142 ref nil cons 1145 def cons 1129 ref cons nil cons cons 1146 def 126 ref subst 1146 remove 194 ref subst 1142 ref betaConv 1142 remove assume eqMp nil 110 ref 630 remove 627 ref appTerm 1147 def nil cons 1148 def cons 1149 def 1129 remove cons nil cons cons 1150 def 175 ref subst proveHyp 1150 ref 126 ref subst 1150 remove 194 ref subst 1114 ref 1078 ref 242 ref 627 ref appTerm 1151 def appTerm 547 ref appTerm 1152 def appTerm betaConv sym 216 ref 155 ref nil 26 ref 1151 ref nil cons 1153 def cons 268 ref nil cons 1154 def cons 1155 def nil cons cons 214 ref subst 215 ref 48 ref 216 ref 217 ref 227 ref 52 ref 54 ref 243 ref appTerm 1156 def appTerm 1157 def 240 ref appTerm 1158 def absTerm 1159 def 233 ref appTerm 1160 def betaConv nil 68 ref 1159 ref appTerm 1161 def axiom nil 110 ref 1161 remove nil cons cons 111 ref 1160 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1159 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp 1162 def appThm 1163 def 222 ref appThm appThm 1164 def 216 ref 217 ref nil 227 ref 627 ref nil cons 1165 def cons 1166 def nil cons 1167 def nil cons cons 1162 ref subst appThm 1168 def 222 ref appThm appThm 1169 def 224 ref 66 ref 225 ref 69 ref 225 ref 70 ref 226 ref 216 ref nil "v" 11 ref var 1170 def 228 remove cons 1171 def nil cons nil cons cons 1172 def 155 ref 72 ref refl nil 1154 ref nil cons cons 1173 def 29 ref 279 ref 1078 ref 39 ref appTerm 1174 def 20 ref appTerm 1175 def appTerm 1176 def absTerm 1177 def 39 ref appTerm 1178 def betaConv 624 ref 29 ref 1176 remove assume sym 278 ref 1175 remove appTerm 39 ref appTerm 1179 def assume sym deductAntisym absThm appThm nil 99 ref 29 ref 1179 remove absTerm appTerm axiom eqMp nil 110 ref 99 ref 1177 ref appTerm nil cons cons 111 ref 1178 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1177 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp subst appThm 74 ref refl 1180 def appThm 1170 ref varTerm 1181 def refl 1182 def appThm appThm 296 ref 467 ref 1181 ref appTerm 233 ref appTerm 1183 def appTerm 1184 def refl appThm sym 493 ref "Data.Bool.\\/" const 35 ref constTerm 1185 def 501 ref appTerm 47 ref 48 ref 500 ref 309 ref appTerm 1186 def absTerm 1187 def appTerm 1188 def appTerm 1189 def absTerm 1190 def 74 ref appTerm 1191 def betaConv nil 65 ref 1190 ref appTerm 1192 def axiom 1193 def nil 110 ref 1192 remove nil cons cons 1194 def 111 ref 1191 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1190 ref nil cons cons 1195 def 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1185 ref 295 ref appTerm 47 ref 48 ref 294 ref 309 ref appTerm 1196 def absTerm 1197 def appTerm 1198 def appTerm nil cons 1199 def cons 111 ref 36 ref 72 ref 1079 ref 20 ref appTerm appTerm 1200 def 74 ref appTerm 1181 ref appTerm appTerm 1184 ref appTerm 1201 def nil cons 1202 def cons nil cons 1203 def cons nil cons cons 1204 def 175 ref subst proveHyp 1204 ref 126 ref subst 1204 remove 194 ref subst nil 257 ref 48 ref 71 ref 1197 ref 57 ref appTerm 1205 def appTerm 1201 ref appTerm 1206 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 1206 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1205 ref nil cons 1207 def cons 1203 ref cons nil cons cons 1208 def 126 ref subst 1208 remove 194 ref subst 1205 ref betaConv 1205 remove assume eqMp nil 110 ref 1196 ref nil cons 1209 def cons 1203 ref cons nil cons cons 1210 def 175 ref subst proveHyp 1210 ref 126 ref subst 1210 remove 194 ref subst 155 ref 1200 remove refl 1211 def 1196 remove assume 1212 def appThm 1182 ref appThm nil 66 ref 292 ref cons 1213 def 31 ref cons nil cons cons 155 ref nil 227 ref 1181 ref nil cons 1214 def cons 1215 def 66 ref 300 ref 74 ref appTerm 1216 def nil cons cons 1217 def 29 ref 1079 ref 39 ref appTerm 1218 def nil cons cons nil cons 1219 def cons cons nil cons cons 266 ref subst 235 ref 1218 ref appTerm 1220 def refl 1221 def nil 495 ref nil cons cons 1222 def 493 ref 52 ref 300 ref 496 ref appTerm 1223 def appTerm 1224 def 497 ref 240 ref appTerm 1225 def appTerm 1226 def absTerm 1227 def 496 ref appTerm 1228 def betaConv nil 65 ref 1227 ref appTerm 1229 def axiom 1230 def nil 110 ref 1229 remove nil cons cons 111 ref 1228 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1227 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp 1231 def subst 1232 def appThm nil 270 ref nil cons nil cons cons 1233 def 222 ref subst 1234 def appThm 242 ref 1181 ref appTerm 1235 def refl 1236 def appThm trans appThm nil 1215 ref nil cons nil cons cons 266 ref subst appThm sym 155 ref 1221 ref nil 270 ref 495 ref cons nil cons cons 48 ref 499 ref 456 ref 57 ref appTerm 1237 def 496 ref appTerm appTerm absTerm 1238 def 57 ref appTerm 1239 def betaConv 493 ref 65 ref 1238 ref appTerm 1240 def absTerm 1241 def 496 ref appTerm 1242 def betaConv nil 65 ref 1241 ref appTerm 1243 def axiom 1244 def nil 110 ref 1243 remove nil cons cons 1245 def 111 ref 1242 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1241 ref nil cons cons 1246 def 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1240 remove nil cons cons 111 ref 1239 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1238 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 1247 def subst appThm 1234 ref appThm 1236 ref appThm appThm 241 ref 1235 ref appTerm 1248 def refl 1249 def appThm sym 542 ref 36 ref 1220 ref 456 ref 1156 ref appTerm 1250 def 74 ref appTerm appTerm 1251 def 240 ref appTerm 1252 def 547 ref appTerm appTerm 241 ref 547 ref appTerm appTerm absTerm 1253 def 1235 ref appTerm 1254 def betaConv 48 ref 99 ref 542 ref 36 ref 1251 remove 57 ref appTerm 547 ref appTerm appTerm 702 ref 547 ref appTerm appTerm absTerm appTerm absTerm 1255 def 240 ref appTerm 1256 def betaConv 271 ref 65 ref 48 ref 99 ref 542 ref 36 ref 1220 ref 1250 remove 275 ref appTerm 1257 def appTerm 57 ref appTerm 547 ref appTerm appTerm 730 ref appTerm absTerm appTerm absTerm appTerm absTerm 1258 def 74 ref appTerm 1259 def betaConv 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 542 ref 36 ref 235 ref 1080 ref appTerm 1260 def 1257 remove appTerm 57 ref appTerm 547 ref appTerm appTerm 235 ref 41 ref appTerm 1261 def 275 ref appTerm 57 ref appTerm 1262 def 547 ref appTerm 1263 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1264 def 39 ref appTerm 1265 def betaConv 29 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 542 ref 36 ref 235 ref 1174 remove 41 ref appTerm 1266 def appTerm 1267 def 456 ref 55 ref appTerm 1268 def 275 ref appTerm appTerm 57 ref appTerm 547 ref appTerm appTerm 1263 ref appTerm absTerm 1269 def appTerm 1270 def absTerm 1271 def appTerm 1272 def absTerm 1273 def appTerm 1274 def absTerm 1275 def appTerm 1276 def absTerm 1277 def 243 ref appTerm 1278 def betaConv nil 99 ref 1277 ref appTerm 1279 def axiom 1280 def nil 110 ref 1279 remove nil cons cons 1281 def 111 ref 1278 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1277 ref nil cons cons 1282 def 1154 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1264 ref appTerm nil cons cons 111 ref 1265 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1264 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 1258 ref appTerm nil cons cons 111 ref 1259 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1258 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 1255 ref appTerm nil cons cons 111 ref 1256 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1255 remove nil cons cons 704 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1253 ref appTerm nil cons cons 111 ref 1254 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1253 remove nil cons cons 29 ref 1235 ref nil cons cons nil cons 1283 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 36 ref 1252 remove 1235 ref appTerm appTerm 1248 ref appTerm nil cons cons 111 ref 36 ref 1220 ref 456 ref 240 ref appTerm 1284 def 74 ref appTerm 1285 def appTerm 240 ref appTerm 1235 ref appTerm appTerm 1248 remove appTerm 1286 def nil cons 1287 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 1221 remove 456 ref refl 1288 def 1162 ref appThm 1289 def 1180 ref appThm appThm 1234 ref appThm 1236 ref appThm appThm 1249 remove appThm appThm 1286 remove refl appThm nil 139 ref 1287 remove cons nil cons nil cons cons nil 139 ref 71 ref 142 ref appTerm 1290 def 142 ref appTerm 1291 def nil cons cons nil cons nil cons cons 146 ref subst 139 ref 1291 remove absTerm 1292 def 142 ref appTerm 1293 def betaConv nil 343 ref 1292 ref appTerm 1294 def axiom nil 110 ref 1294 remove nil cons cons 111 ref 1293 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 1292 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp 1295 def subst trans sym 145 ref eqMp eqMp eqMp eqMp 1296 def subst nil 1215 ref 1213 remove nil cons cons nil cons cons 367 ref subst trans trans appThm 216 ref 217 ref 1212 remove appThm 307 ref appThm 350 ref trans appThm 1183 ref refl 1297 def appThm nil 139 ref 1183 ref nil cons 1298 def cons nil cons nil cons cons 1299 def 359 ref subst trans appThm 374 ref 139 ref 36 ref 342 remove 142 ref appTerm appTerm 308 ref 142 ref appTerm 1300 def appTerm absTerm 1301 def 142 ref appTerm 1302 def betaConv nil 343 ref 1301 ref appTerm 1303 def axiom nil 110 ref 1303 remove nil cons cons 111 ref 1302 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 1301 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp subst nil 36 ref 308 ref 315 ref appTerm appTerm 131 ref appTerm axiom 1304 def trans trans sym 145 ref eqMp eqMp nil 151 ref 1209 remove cons 153 ref 1202 ref cons nil cons 1305 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1207 remove cons 1305 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1197 ref 797 ref appTerm appTerm 1201 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1198 ref appTerm 1201 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1197 remove nil cons cons 1305 ref cons nil cons cons 811 ref subst eqMp nil 110 ref 360 ref cons 1203 remove cons nil cons cons 1306 def 126 ref subst 1306 remove 194 ref subst 155 ref 1211 remove 295 remove assume 1307 def appThm 1182 remove appThm 232 ref 155 ref nil 1215 remove 66 ref 298 ref cons 1308 def 1219 ref cons cons nil cons cons 266 ref subst appThm 1297 ref appThm sym 542 ref 36 ref 1220 remove 220 ref appTerm 1309 def 1156 ref appTerm 1310 def 547 ref appTerm appTerm 278 ref 547 ref appTerm 1311 def 243 ref appTerm 1312 def appTerm absTerm 1313 def 1235 ref appTerm 1314 def betaConv 26 ref 99 ref 542 ref 36 ref 1260 remove 220 ref appTerm 1156 ref appTerm 547 ref appTerm appTerm 1312 remove appTerm absTerm appTerm absTerm 1315 def 39 ref appTerm 1316 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 36 ref 1267 ref 220 ref appTerm 55 ref appTerm 547 ref appTerm appTerm 1311 ref 39 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1317 def 243 ref appTerm 1318 def betaConv nil 99 ref 1317 ref appTerm 1319 def axiom nil 110 ref 1319 remove nil cons cons 111 ref 1318 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1317 remove nil cons cons 1154 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1315 ref appTerm nil cons cons 111 ref 1316 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1315 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1313 ref appTerm nil cons cons 111 ref 1314 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1313 remove nil cons cons 1283 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 36 ref 1310 remove 1235 ref appTerm appTerm 278 ref 1235 ref appTerm 243 ref appTerm appTerm nil cons cons 111 ref 36 ref 1309 ref 240 ref appTerm 1235 remove appTerm appTerm 1183 ref appTerm 1320 def nil cons 1321 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 1309 remove refl 1162 ref appThm 1236 remove appThm appThm nil 671 ref 264 ref cons 1322 def 676 ref 1214 remove cons nil cons cons nil cons cons 671 ref 36 ref 726 remove appTerm 678 ref appTerm absTerm 1323 def 672 ref appTerm 1324 def betaConv 676 ref 68 ref 1323 ref appTerm 1325 def absTerm 1326 def 677 ref appTerm 1327 def betaConv nil 68 ref 1326 ref appTerm 1328 def axiom nil 110 ref 1328 remove nil cons cons 111 ref 1327 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1326 remove nil cons cons 818 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1325 remove nil cons cons 111 ref 1324 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1323 remove nil cons cons 819 ref cons nil cons cons 205 ref subst eqMp eqMp 1329 def subst appThm appThm 1320 remove refl appThm nil 139 ref 1321 remove cons nil cons nil cons cons 1295 ref subst trans sym 145 ref eqMp eqMp eqMp 1330 def subst trans appThm 216 ref 217 ref 1307 remove appThm 307 remove appThm nil 258 ref 298 ref cons nil cons 1331 def nil cons cons 489 ref subst 1332 def trans appThm 1297 remove appThm 1299 remove 527 ref subst trans appThm nil 347 ref 1298 remove cons nil cons nil cons cons 715 ref 488 ref subst 1333 def subst trans sym 145 ref eqMp eqMp nil 151 ref 360 remove cons 1334 def 1305 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 1334 ref 153 ref 1198 remove nil cons cons "R" 3 ref var 1335 def 1202 remove cons nil cons cons cons nil cons cons nil 110 ref 71 ref 158 ref appTerm 1336 def 1335 ref varTerm 1337 def appTerm 1338 def nil cons cons 111 ref 1337 ref nil cons 1339 def cons nil cons cons nil cons cons 175 ref subst nil 110 ref 337 ref 1337 ref appTerm nil cons cons 111 ref 71 ref 1338 remove appTerm 1337 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst "r" 3 ref var 1340 def 71 ref 337 remove 1340 ref varTerm 1341 def appTerm appTerm 1342 def 71 ref 1336 remove 1341 ref appTerm appTerm 1341 ref appTerm appTerm absTerm 1343 def 1337 remove appTerm 1344 def betaConv 36 ref 1185 ref 156 ref appTerm 1345 def 158 ref appTerm 1346 def appTerm refl 111 ref 343 ref 1340 ref 1342 remove 71 ref 328 remove 1341 ref appTerm 1347 def appTerm 1341 ref appTerm 1348 def appTerm absTerm appTerm absTerm 158 remove appTerm betaConv appThm 135 remove 1345 remove appTerm refl 110 ref 111 ref 343 ref 1340 ref 71 ref 113 ref 1341 ref appTerm appTerm 1348 remove appTerm absTerm appTerm absTerm absTerm 1349 def 156 remove appTerm betaConv appThm nil 123 remove 1185 ref appTerm 1349 remove appTerm axiom 165 remove appThm eqMp 161 remove appThm eqMp 1346 remove assume eqMp nil 110 ref 343 ref 1343 ref appTerm nil cons cons 111 ref 1344 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 1343 remove nil cons cons 347 ref 1339 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp 1350 def subst proveHyp proveHyp eqMp nil 151 ref 1199 remove cons 1305 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp 1351 def subst appThm 1352 def nil 1170 ref 369 ref cons 1167 remove cons nil cons cons 1351 ref subst 1353 def appThm appThm 376 ref appThm absThm appThm absThm appThm absThm appThm appThm appThm absThm appThm trans appThm 1147 ref refl appThm sym nil 110 ref 47 ref 48 ref 49 ref 52 ref 240 ref appTerm 57 ref appTerm 1354 def appTerm 1355 def 1355 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 49 ref 296 ref 468 ref 233 ref appTerm 1356 def appTerm 1357 def appTerm 1358 def 296 ref 467 ref 81 ref appTerm 627 ref appTerm 1359 def appTerm 1360 def appTerm 1361 def appTerm 85 ref appTerm 1362 def absTerm 1363 def appTerm 1364 def absTerm 1365 def appTerm 1366 def absTerm 1367 def appTerm 1368 def appTerm 1369 def appTerm 1370 def absTerm 1371 def appTerm 1372 def nil cons 1373 def cons 111 ref 1148 ref cons nil cons 1374 def cons nil cons cons 335 ref subst nil 257 ref 48 ref 71 ref 1371 ref 57 ref appTerm 1375 def appTerm 1147 ref appTerm 1376 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 1376 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1375 ref nil cons 1377 def cons 1374 ref cons nil cons cons 1378 def 126 ref subst 1378 remove 194 ref subst 1375 ref betaConv 1375 remove assume eqMp nil 110 ref 1370 remove nil cons 1379 def cons 1374 ref cons nil cons cons 1380 def 175 ref subst proveHyp 1380 ref 126 ref subst 1380 remove 194 ref subst nil 151 ref 1354 remove nil cons cons 1381 def 153 ref 1369 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 1381 ref 153 ref 1368 ref nil cons 1382 def cons nil cons cons nil cons cons 334 ref subst 66 ref 49 ref 296 ref 467 ref 233 ref appTerm 1383 def 233 ref appTerm appTerm appTerm 1384 def 296 ref 467 ref 627 ref appTerm 627 ref appTerm appTerm 1385 def appTerm absTerm 1386 def 220 ref appTerm betaConv sym 216 ref 216 ref 1332 ref appThm 1387 def nil 265 ref nil cons cons 385 remove 488 ref subst 1388 def subst 1389 def appThm 528 ref trans appThm 1390 def 1387 ref 1388 ref appThm 528 ref trans 1391 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 1386 ref nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 1386 remove appTerm nil cons cons 1374 remove cons nil cons cons 175 ref subst proveHyp nil 70 ref 1165 ref cons 69 ref 264 ref cons nil cons 1392 def cons 1393 def nil cons cons nil 110 ref 47 ref 66 ref 1361 ref absTerm 1394 def appTerm 1395 def nil cons 1396 def cons 1397 def 665 ref cons nil cons cons 1398 def 126 ref subst 1398 remove 194 ref subst nil 110 ref 1382 ref cons 1399 def 665 ref cons nil cons cons 1400 def 175 ref subst nil 1397 remove 111 ref 71 ref 1368 ref appTerm 85 ref appTerm 1401 def nil cons 1402 def cons nil cons 1403 def cons nil cons cons 175 ref subst nil 257 ref 66 ref 71 ref 1394 ref 74 ref appTerm 1404 def appTerm 1401 ref appTerm 1405 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1405 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1404 ref nil cons 1406 def cons 1403 ref cons nil cons cons 1407 def 126 ref subst 1407 remove 194 ref subst 1404 ref betaConv 1404 remove assume eqMp nil 110 ref 1361 remove nil cons 1408 def cons 1409 def 1403 remove cons nil cons cons 1410 def 175 ref subst proveHyp 1410 ref 126 ref subst 1410 remove 194 ref subst 1400 ref 126 ref subst 1400 remove 194 ref subst nil 1409 remove 665 ref cons nil cons cons 1411 def 175 ref subst 1363 ref 81 ref appTerm 1412 def betaConv 1365 ref 76 ref appTerm 1413 def betaConv 1367 ref 74 ref appTerm 1414 def betaConv nil 1399 remove 111 ref 1414 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 1367 remove nil cons cons 1415 def 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1366 remove nil cons 1416 def cons 111 ref 1413 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1365 remove nil cons cons 1417 def 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1364 remove nil cons 1418 def cons 111 ref 1412 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1363 remove nil cons cons 1419 def 828 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 1382 ref cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 1408 remove cons 1420 def 153 ref 1402 remove cons nil cons 1421 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1406 remove cons 1421 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1394 ref 797 ref appTerm appTerm 1401 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1395 remove appTerm 1401 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1394 remove nil cons cons 1421 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 1396 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp subst eqMp proveHyp proveHyp eqMp nil 151 ref 1379 remove cons 153 ref 1148 ref cons nil cons 1422 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1377 remove cons 1422 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1371 ref 797 ref appTerm appTerm 1147 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1372 ref appTerm 1147 ref appTerm nil cons 1423 def cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1371 ref nil cons cons 1424 def 1422 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 1423 remove cons 111 ref 71 ref 1147 ref appTerm 1372 remove appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 1149 remove 111 ref 1373 ref cons nil cons cons nil cons cons 1425 def 126 ref subst 1425 remove 194 ref subst 1371 remove 240 ref appTerm betaConv sym 216 ref nil 704 ref nil cons cons 489 ref subst 1426 def appThm 1427 def 1427 ref 1368 remove refl appThm nil 139 ref 1382 remove cons nil cons nil cons cons 527 ref subst 1428 def trans appThm 1428 remove trans sym nil 1415 remove nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1416 remove cons nil cons nil cons cons 146 ref subst nil 1417 remove nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 1418 remove cons nil cons nil cons cons 146 ref subst nil 1419 remove nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 1362 remove nil cons cons nil cons nil cons cons 146 ref subst 1411 ref 126 ref subst 1411 remove 194 ref subst nil 151 ref 1357 remove nil cons cons 1429 def 153 ref 1360 ref nil cons 1430 def cons nil cons cons nil cons cons 1431 def 167 ref subst 1431 remove 334 ref subst nil 1334 ref 153 ref 1356 ref nil cons cons nil cons cons nil cons cons 334 ref subst 1432 def nil 1334 ref 153 ref 1359 ref nil cons cons nil cons cons nil cons cons 334 ref subst 1433 def 37 ref refl 1356 remove assume 1434 def appThm 1359 remove assume 1435 def appThm nil 139 ref 1148 ref cons nil cons nil cons cons 146 ref subst 1147 ref assume eqMp 1436 def trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 1420 remove 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 1424 remove 704 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 1148 remove cons 1437 def 153 ref 1373 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp 1438 def 1436 remove trans appThm nil 139 ref 1137 ref cons nil cons nil cons cons 146 ref subst 1136 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 38 ref 243 ref appTerm 1151 ref appTerm 1439 def appTerm 1136 remove appTerm nil cons cons 111 ref 1112 remove 1152 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil "y2" 2 ref var 1440 def 594 ref cons "y1" 2 ref var 1441 def 1153 ref cons "x2" 2 ref var 1442 def 211 ref cons 1443 def "x1" 2 ref var 1444 def 267 ref cons nil cons 1445 def cons cons cons nil cons cons 226 ref 216 ref nil 26 ref 1441 ref varTerm 1446 def nil cons 1447 def cons 1448 def 29 ref 1444 ref varTerm 1449 def nil cons 1450 def cons 1451 def nil cons 1452 def cons 1453 def nil cons cons 214 ref subst appThm nil 26 ref 1440 ref varTerm 1454 def nil cons 1455 def cons 1456 def 29 ref 1442 ref varTerm 1457 def nil cons 1458 def cons 1459 def nil cons 1460 def cons 1461 def nil cons cons 214 ref subst appThm appThm nil 26 ref 1078 ref 1446 ref appTerm 1462 def 1454 ref appTerm 1463 def nil cons cons 1464 def 29 ref 1078 ref 1449 ref appTerm 1465 def 1457 ref appTerm 1466 def nil cons cons 1467 def nil cons cons 1468 def nil cons cons 1469 def 214 ref subst appThm sym nil 110 ref 49 ref 47 ref 48 ref 49 ref 52 ref 54 ref 1449 ref appTerm 1470 def appTerm 1471 def 57 ref appTerm appTerm 1472 def 49 ref 52 ref 54 ref 1446 ref appTerm 1473 def appTerm 1474 def 57 ref appTerm appTerm 1475 def 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 49 ref 72 ref 1449 ref appTerm 74 ref appTerm 1476 def 76 ref appTerm 1477 def appTerm 1478 def 72 ref 1446 ref appTerm 1479 def 74 ref appTerm 1480 def 81 ref appTerm 1481 def appTerm appTerm 85 ref appTerm 1482 def absTerm 1483 def appTerm 1484 def absTerm 1485 def appTerm 1486 def absTerm 1487 def appTerm 1488 def appTerm appTerm absTerm 1489 def appTerm 1490 def appTerm 47 ref 48 ref 49 ref 52 ref 54 ref 1457 ref appTerm 1491 def appTerm 1492 def 57 ref appTerm appTerm 1493 def 49 ref 52 ref 54 ref 1454 ref appTerm 1494 def appTerm 1495 def 57 ref appTerm appTerm 1496 def 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 49 ref 72 ref 1457 ref appTerm 1497 def 74 ref appTerm 76 ref appTerm appTerm 1498 def 72 ref 1454 ref appTerm 1499 def 74 ref appTerm 1500 def 81 ref appTerm 1501 def appTerm appTerm 85 ref appTerm absTerm 1502 def appTerm 1503 def absTerm 1504 def appTerm 1505 def absTerm 1506 def appTerm 1507 def appTerm appTerm absTerm 1508 def appTerm 1509 def appTerm nil cons 1510 def cons 111 ref 47 ref 48 ref 49 ref 52 ref 54 ref 1466 ref appTerm appTerm 57 ref appTerm appTerm 1511 def 49 ref 52 ref 54 ref 1463 ref appTerm appTerm 57 ref appTerm appTerm 1512 def 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 49 ref 72 ref 1466 ref appTerm 1513 def 74 ref appTerm 1514 def 76 ref appTerm 1515 def appTerm 1516 def 72 ref 1463 ref appTerm 1517 def 74 ref appTerm 1518 def 81 ref appTerm 1519 def appTerm appTerm 85 ref appTerm 1520 def absTerm 1521 def appTerm 1522 def absTerm 1523 def appTerm 1524 def absTerm 1525 def appTerm 1526 def appTerm appTerm absTerm 1527 def appTerm 1528 def nil cons 1529 def cons nil cons 1530 def cons nil cons cons 1531 def 126 ref subst 1531 remove 194 ref subst nil 151 ref 1490 ref nil cons 1532 def cons 153 ref 1509 ref nil cons 1533 def cons nil cons cons nil cons cons 1534 def 167 ref subst 1534 remove 334 ref subst nil 110 ref 1532 remove cons 1530 ref cons nil cons cons 175 ref subst nil 257 ref "n1" 44 ref var 1535 def 71 ref 1489 ref 1535 ref varTerm 1536 def appTerm 1537 def appTerm 1528 ref appTerm 1538 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1535 ref nil 139 ref 1538 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1537 ref nil cons 1539 def cons 1530 ref cons nil cons cons 1540 def 126 ref subst 1540 remove 194 ref subst 1537 ref betaConv 1537 remove assume eqMp nil 110 ref 49 ref 1471 ref 1536 ref appTerm 1541 def appTerm 1542 def 49 ref 1474 ref 1536 ref appTerm 1543 def appTerm 1544 def 1488 ref appTerm 1545 def appTerm nil cons 1546 def cons 1530 ref cons nil cons cons 1547 def 175 ref subst proveHyp 1547 ref 126 ref subst 1547 remove 194 ref subst nil 151 ref 1541 ref nil cons cons 1548 def 153 ref 1545 remove nil cons cons nil cons cons nil cons cons 1549 def 167 ref subst 1549 remove 334 ref subst nil 151 ref 1543 ref nil cons cons 1550 def 153 ref 1488 remove nil cons 1551 def cons nil cons cons nil cons cons 1552 def 167 ref subst 1552 remove 334 ref subst nil 110 ref 1533 remove cons 1530 ref cons nil cons cons 175 ref subst nil 257 ref "n2" 44 ref var 1553 def 71 ref 1508 ref 1553 ref varTerm 1554 def appTerm 1555 def appTerm 1528 ref appTerm 1556 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1553 ref nil 139 ref 1556 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1555 ref nil cons 1557 def cons 1530 ref cons nil cons cons 1558 def 126 ref subst 1558 remove 194 ref subst 1555 ref betaConv 1555 remove assume eqMp nil 110 ref 49 ref 1492 ref 1554 ref appTerm 1559 def appTerm 1560 def 49 ref 1495 remove 1554 ref appTerm 1561 def appTerm 1562 def 1507 ref appTerm 1563 def appTerm nil cons 1564 def cons 1530 remove cons nil cons cons 1565 def 175 ref subst proveHyp 1565 ref 126 ref subst 1565 remove 194 ref subst nil 151 ref 1559 ref nil cons cons 1566 def 153 ref 1563 remove nil cons cons nil cons cons nil cons cons 1567 def 167 ref subst 1567 remove 334 ref subst nil 151 ref 1561 ref nil cons cons 1568 def 153 ref 1507 remove nil cons 1569 def cons nil cons cons nil cons cons 1570 def 167 ref subst 1570 remove 334 ref subst 1527 ref 456 ref 1536 ref appTerm 1571 def 1554 ref appTerm 1572 def appTerm betaConv sym 216 ref 217 ref nil 26 ref 1458 ref cons 1452 ref cons 1573 def nil cons cons 26 ref 52 ref 54 ref 1266 ref appTerm appTerm 1268 ref 60 ref appTerm appTerm absTerm 1574 def 41 ref appTerm 1575 def betaConv 29 ref 99 ref 1574 ref appTerm 1576 def absTerm 1577 def 39 ref appTerm 1578 def betaConv nil 99 ref 1577 ref appTerm 1579 def axiom nil 110 ref 1579 remove nil cons cons 111 ref 1578 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1577 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1576 remove nil cons cons 111 ref 1575 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1574 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp 1580 def subst 1581 def 1288 ref 1541 remove assume 1582 def appThm 1583 def 1559 remove assume appThm trans appThm 1572 ref refl 1584 def appThm nil 258 ref 1572 ref nil cons cons nil cons 1585 def nil cons cons 489 ref subst 1586 def trans appThm 1587 def 216 ref 217 ref nil 1456 ref 29 ref 1447 remove cons nil cons 1588 def cons 1589 def nil cons cons 1580 ref subst 1590 def 1288 ref 1543 remove assume 1591 def appThm 1592 def 1561 remove assume appThm trans appThm 1584 ref appThm 1586 ref trans appThm 1593 def 1526 ref refl appThm nil 139 ref 1526 remove nil cons cons nil cons nil cons cons 527 ref subst 1594 def trans appThm 1594 remove trans sym nil 257 ref 1525 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1524 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1523 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 1522 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1521 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 1520 ref nil cons 1595 def cons nil cons nil cons cons 146 ref subst nil 110 ref 308 ref "Number.Natural.<" const 51 ref constTerm 1596 def 74 ref appTerm 1597 def 1536 ref appTerm 1598 def appTerm 1599 def nil cons 1600 def cons 1601 def 111 ref 1595 ref cons nil cons 1602 def cons nil cons cons 1603 def 126 ref subst 1603 remove 194 ref subst nil 48 ref 1536 ref nil cons 1604 def cons 495 ref cons nil cons cons 48 ref 36 ref 308 ref 1596 ref 496 ref appTerm 1605 def 57 ref appTerm 1606 def appTerm appTerm "Number.Natural.<=" const 51 ref constTerm 1607 def 57 ref appTerm 1608 def 496 ref appTerm appTerm absTerm 1609 def 57 ref appTerm 1610 def betaConv 493 ref 65 ref 1609 ref appTerm 1611 def absTerm 1612 def 496 ref appTerm 1613 def betaConv nil 65 ref 1612 ref appTerm 1614 def axiom nil 110 ref 1614 remove nil cons cons 111 ref 1613 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1612 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1611 remove nil cons cons 111 ref 1610 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1609 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 1615 def subst nil 48 ref 259 remove cons 1616 def 493 ref 1604 remove cons nil cons cons nil cons cons 48 ref 36 ref 1607 ref 496 ref appTerm 57 ref appTerm 1617 def appTerm 47 ref "d" 44 ref var 1618 def 276 ref 497 ref 1618 ref varTerm 1619 def appTerm appTerm absTerm appTerm appTerm absTerm 1620 def 57 ref appTerm 1621 def betaConv 493 ref 65 ref 1620 ref appTerm 1622 def absTerm 1623 def 496 ref appTerm 1624 def betaConv nil 65 ref 1623 ref appTerm 1625 def axiom nil 110 ref 1625 remove nil cons cons 111 ref 1624 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1623 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1622 remove nil cons cons 111 ref 1621 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1620 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 1626 def subst trans 1599 remove assume eqMp 1627 def nil 110 ref 47 ref 1618 ref 294 ref 1571 remove 1619 ref appTerm 1628 def appTerm 1629 def absTerm 1630 def appTerm 1631 def nil cons cons 1632 def 1602 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 1618 ref 71 ref 1630 ref 1619 ref appTerm 1633 def appTerm 1634 def 1520 ref appTerm 1635 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1618 ref nil 139 ref 1635 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1633 ref nil cons 1636 def cons 1637 def 1602 ref cons nil cons cons 1638 def 126 ref subst 1638 remove 194 ref subst 1633 ref betaConv 1633 remove assume eqMp 1639 def nil 110 ref 1629 ref nil cons 1640 def cons 1641 def 1602 ref cons nil cons cons 1642 def 175 ref subst proveHyp 1642 ref 126 ref subst 1642 remove 194 ref subst 36 ref "_31920" 44 ref var 1643 def 71 ref 49 ref 1513 ref 1643 remove varTerm 1644 def appTerm 76 ref appTerm appTerm 1517 ref 1644 remove appTerm 81 ref appTerm appTerm appTerm 85 ref appTerm absTerm 1645 def 74 ref appTerm 1646 def appTerm refl 1645 ref 1628 ref appTerm betaConv appThm 155 ref 1646 remove betaConv appThm 71 ref 49 ref 1513 ref 1628 ref appTerm 76 ref appTerm 1647 def appTerm 1648 def 1517 ref 1628 ref appTerm 81 ref appTerm 1649 def appTerm appTerm 85 ref appTerm 1650 def refl 1651 def appThm trans 1645 remove refl 1629 remove assume 1652 def appThm eqMp sym nil 229 remove 66 ref 1619 ref nil cons 1653 def cons 1654 def 1573 remove cons cons nil cons cons 227 ref 36 ref 72 ref 1266 ref appTerm 1655 def 1268 ref 74 ref appTerm 1656 def appTerm 233 ref appTerm appTerm 80 ref 233 ref appTerm 1657 def appTerm absTerm 1658 def 233 ref appTerm 1659 def betaConv 66 ref 68 ref 1658 ref appTerm 1660 def absTerm 1661 def 74 ref appTerm 1662 def betaConv 26 ref 65 ref 1661 ref appTerm 1663 def absTerm 1664 def 41 ref appTerm 1665 def betaConv 29 ref 99 ref 1664 ref appTerm 1666 def absTerm 1667 def 39 ref appTerm 1668 def betaConv 624 ref 29 ref 624 ref 26 ref 224 ref 66 ref 225 ref 227 ref 155 ref nil 66 ref 1656 remove nil cons cons 29 ref 1266 ref nil cons cons nil cons 1669 def cons nil cons cons 266 ref subst nil 542 ref 267 ref cons 274 ref cons 1670 def nil cons cons 1671 def 1269 ref 547 ref appTerm 1672 def betaConv 1271 ref 57 ref appTerm 1673 def betaConv 1273 ref 275 ref appTerm 1674 def betaConv 1275 ref 41 ref appTerm 1675 def betaConv 1277 remove 39 ref appTerm 1676 def betaConv 1280 remove nil 1281 remove 111 ref 1676 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1282 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1276 remove nil cons cons 111 ref 1675 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1275 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1274 remove nil cons cons 111 ref 1674 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1273 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1272 remove nil cons cons 111 ref 1673 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1271 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1270 remove nil cons cons 111 ref 1672 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1269 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp subst trans appThm nil 213 ref nil cons cons 1677 def 266 ref subst 1678 def appThm nil 347 ref 1261 remove 74 ref appTerm 1679 def 240 ref appTerm 1680 def 243 ref appTerm 1681 def nil cons cons nil cons nil cons cons 1333 ref subst trans absThm appThm 390 ref trans absThm appThm 392 ref trans absThm appThm 383 ref 641 ref 389 ref subst subst 1682 def trans absThm appThm 1682 remove trans sym 145 ref eqMp 1683 def nil 110 ref 99 ref 1667 ref appTerm 1684 def nil cons cons 1685 def 111 ref 1668 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1667 ref nil cons cons 1686 def 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1666 remove nil cons cons 111 ref 1665 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1664 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1663 remove nil cons cons 111 ref 1662 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1661 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1660 remove nil cons cons 111 ref 1659 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1658 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp 1687 def subst 1688 def nil 110 ref 36 ref 1513 ref 456 ref 1470 ref appTerm 1689 def 1619 ref appTerm 1690 def appTerm 76 ref appTerm 1691 def appTerm 1497 remove 1619 ref appTerm 76 ref appTerm 1692 def appTerm nil cons cons 1693 def 111 ref 1650 remove nil cons 1694 def cons nil cons 1695 def cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 1513 ref refl 1583 remove 1619 ref refl 1696 def appThm appThm 76 ref refl 1697 def appThm appThm 1692 ref refl appThm appThm 1698 def 1651 remove appThm sym nil 110 ref 36 ref 1647 ref appTerm 1692 ref appTerm 1699 def nil cons 1700 def cons 1701 def 1695 remove cons nil cons cons 1702 def 126 ref subst 1702 remove 194 ref subst 36 ref "_31934" 3 ref var 1703 def 71 ref 49 ref 1703 remove varTerm appTerm 1649 ref appTerm appTerm 85 ref appTerm absTerm 1704 def 1647 ref appTerm 1705 def appTerm refl 1704 ref 1692 ref appTerm betaConv appThm 155 ref 1705 remove betaConv appThm 71 ref 49 ref 1692 ref appTerm 1706 def 1649 ref appTerm appTerm 85 ref appTerm 1707 def refl 1708 def appThm trans 1704 remove refl 1699 remove assume 1709 def appThm eqMp sym 227 ref 36 ref 1517 ref 456 ref 1473 ref appTerm 1710 def 1619 ref appTerm appTerm 1711 def 233 ref appTerm appTerm 1499 ref 1619 ref appTerm 1712 def 233 ref appTerm appTerm absTerm 1713 def 81 ref appTerm 1714 def betaConv 66 ref 68 ref 227 ref 36 ref 1517 ref 1710 ref 74 ref appTerm 1715 def appTerm 233 ref appTerm appTerm 1500 remove 233 ref appTerm appTerm absTerm appTerm absTerm 1716 def 1619 ref appTerm 1717 def betaConv 26 ref 65 ref 66 ref 68 ref 227 ref 36 ref 72 ref 1462 remove 41 ref appTerm appTerm 1718 def 1715 remove appTerm 233 ref appTerm appTerm 1657 ref appTerm absTerm appTerm absTerm appTerm absTerm 1719 def 1454 ref appTerm 1720 def betaConv 1667 ref 1446 ref appTerm 1721 def betaConv 1683 ref nil 1685 ref 111 ref 1721 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1686 ref 1588 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1719 ref appTerm nil cons cons 111 ref 1720 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1719 remove nil cons cons 29 ref 1455 remove cons nil cons 1722 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 1716 ref appTerm nil cons cons 111 ref 1717 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1716 remove nil cons cons 258 ref 1653 ref cons nil cons 1723 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 1713 ref appTerm nil cons cons 111 ref 1714 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1713 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp 1724 def nil 110 ref 36 ref 1711 remove 81 ref appTerm appTerm 1712 ref 81 ref appTerm 1725 def appTerm nil cons cons 1726 def 111 ref 1707 remove nil cons 1727 def cons nil cons 1728 def cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 1517 ref refl 1729 def 1592 remove 1696 ref appThm appThm 81 ref refl 1730 def appThm appThm 1725 ref refl appThm appThm 1731 def 1708 remove appThm sym nil 110 ref 36 ref 1649 ref appTerm 1725 ref appTerm 1732 def nil cons 1733 def cons 1734 def 1728 remove cons nil cons cons 1735 def 126 ref subst 1735 remove 194 ref subst 36 ref "_31936" 3 ref var 1736 def 71 ref 1706 ref 1736 remove varTerm appTerm appTerm 85 ref appTerm absTerm 1737 def 1649 ref appTerm 1738 def appTerm refl 1737 ref 1725 ref appTerm betaConv appThm 155 ref 1738 remove betaConv appThm 71 ref 1706 ref 1725 ref appTerm appTerm 85 ref appTerm refl appThm trans 1737 remove refl 1732 remove assume 1739 def appThm eqMp sym nil 1654 ref nil cons nil cons cons 1740 def 1502 ref 81 ref appTerm 1741 def betaConv 1504 ref 76 ref appTerm 1742 def betaConv 1506 ref 74 ref appTerm 1743 def betaConv nil 110 ref 1569 remove cons 111 ref 1743 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 1506 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1505 remove nil cons cons 111 ref 1742 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1504 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1503 remove nil cons cons 111 ref 1741 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1502 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp nil 151 ref 1733 remove cons 1744 def 153 ref 1727 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 151 ref 1700 remove cons 1745 def 153 ref 1694 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 151 ref 1640 remove cons 1746 def 153 ref 1595 ref cons nil cons 1747 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1636 remove cons 1748 def 1747 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1630 ref 797 ref appTerm appTerm 1749 def 1520 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1631 remove appTerm 1750 def 1520 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1630 remove nil cons cons 1751 def 1747 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 1600 ref cons 1752 def 1747 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 1598 ref nil cons 1753 def cons 1754 def 1602 ref cons nil cons cons 1755 def 126 ref subst 1755 remove 194 ref subst 227 ref 71 ref 1597 ref 1470 ref appTerm 1756 def appTerm 1757 def 36 ref 1514 remove 233 ref appTerm appTerm 1476 remove 233 ref appTerm 1758 def appTerm appTerm absTerm 1759 def 76 ref appTerm 1760 def betaConv 66 ref 68 ref 1759 ref appTerm 1761 def absTerm 1762 def 74 ref appTerm 1763 def betaConv 26 ref 65 ref 66 ref 68 ref 227 ref 1757 ref 36 ref 72 ref 1465 remove 41 ref appTerm appTerm 74 ref appTerm 233 ref appTerm appTerm 1758 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1764 def 1457 ref appTerm 1765 def betaConv 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 227 ref 71 ref 1597 ref 55 ref appTerm 1766 def appTerm 1767 def 36 ref 1655 remove 74 ref appTerm 233 ref appTerm appTerm 234 ref appTerm appTerm 1768 def absTerm 1769 def appTerm 1770 def absTerm 1771 def appTerm 1772 def absTerm 1773 def appTerm 1774 def absTerm 1775 def 1449 ref appTerm 1776 def betaConv nil 208 ref 1775 ref nil cons cons 1777 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1774 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 1773 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 1772 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 1771 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1770 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1769 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 1768 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref nil 48 ref 657 ref cons 1778 def 495 ref cons nil cons cons 1779 def 48 ref 36 ref 1606 ref appTerm 1780 def 1607 ref 1223 ref appTerm 57 ref appTerm 1781 def appTerm 1782 def absTerm 1783 def 57 ref appTerm 1784 def betaConv 493 ref 65 ref 1783 ref appTerm 1785 def absTerm 1786 def 496 ref appTerm 1787 def betaConv 224 ref 493 ref 224 ref 48 ref 1782 remove assume sym 36 ref 1781 remove appTerm 1606 remove appTerm 1788 def assume sym deductAntisym absThm appThm absThm appThm nil 65 ref 493 ref 65 ref 48 ref 1788 remove absTerm 1789 def appTerm 1790 def absTerm 1791 def appTerm 1792 def axiom 1793 def eqMp nil 110 ref 65 ref 1786 ref appTerm nil cons cons 111 ref 1787 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1786 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1785 remove nil cons cons 111 ref 1784 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1783 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 1794 def subst 1607 ref refl 1795 def 1232 remove appThm 1796 def 55 ref refl 1797 def appThm trans 1798 def appThm 155 ref nil 1669 remove nil cons cons 266 ref subst appThm 266 ref appThm appThm sym 1671 remove 542 ref 71 ref 1607 ref 456 ref 275 ref appTerm 1799 def 57 ref appTerm appTerm 1800 def 55 ref appTerm 1801 def appTerm 1802 def 36 ref 1267 ref 275 ref appTerm 57 ref appTerm 547 ref appTerm appTerm 730 remove appTerm appTerm absTerm 1803 def 547 ref appTerm 1804 def betaConv 48 ref 99 ref 1803 ref appTerm 1805 def absTerm 1806 def 57 ref appTerm 1807 def betaConv 271 ref 65 ref 1806 ref appTerm 1808 def absTerm 1809 def 275 ref appTerm 1810 def betaConv 29 ref 65 ref 1809 ref appTerm 1811 def absTerm 1812 def 39 ref appTerm 1813 def betaConv 26 ref 99 ref 1812 ref appTerm 1814 def absTerm 1815 def 41 ref appTerm 1816 def betaConv nil 99 ref 29 ref 99 ref 26 ref 1811 ref absTerm 1817 def appTerm 1818 def absTerm 1819 def appTerm 1820 def axiom nil 110 ref 1820 remove nil cons 1821 def cons 1822 def 111 ref 99 ref 1815 ref appTerm nil cons 1823 def cons nil cons cons nil cons cons 1824 def 175 ref subst proveHyp 1824 ref 126 ref subst 1824 remove 194 ref subst nil 208 ref 1815 remove nil cons cons 1825 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 1814 remove nil cons 1826 def cons nil cons nil cons cons 146 ref subst nil 208 ref 1812 remove nil cons cons 1827 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1811 remove nil cons 1828 def cons nil cons nil cons cons 146 ref subst 1817 ref 41 ref appTerm 1829 def betaConv 1819 ref 39 ref appTerm 1830 def betaConv nil 1822 remove 111 ref 1830 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 1819 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1818 remove nil cons cons 111 ref 1829 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1817 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 1821 remove cons 153 ref 1823 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 1823 remove cons 111 ref 1816 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1825 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1826 remove cons 111 ref 1813 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1827 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1828 remove cons 111 ref 1810 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1809 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1808 remove nil cons cons 111 ref 1807 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1806 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1805 remove nil cons cons 111 ref 1804 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1803 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 1831 def nil 110 ref 99 ref 1775 ref appTerm 1832 def nil cons cons 1833 def 111 ref 1776 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1777 ref 1452 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1764 ref appTerm nil cons cons 111 ref 1765 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1764 remove nil cons cons 1460 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 1762 ref appTerm nil cons cons 111 ref 1763 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1762 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1761 remove nil cons cons 111 ref 1760 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1759 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp 1834 def nil 110 ref 1757 remove 36 ref 1515 ref appTerm 1477 ref appTerm 1835 def appTerm nil cons cons 1836 def 1602 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 1597 ref refl 1837 def 1582 remove appThm nil 139 ref 1753 ref cons nil cons nil cons cons 146 ref subst 1598 ref assume eqMp 1838 def trans appThm 1835 ref refl appThm nil 139 ref 1835 ref nil cons 1839 def cons nil cons nil cons cons 840 ref subst trans appThm 1840 def 1520 remove refl appThm sym nil 110 ref 1839 ref cons 1841 def 1602 remove cons nil cons cons 1842 def 126 ref subst 1842 remove 194 ref subst 36 ref "_31916" 3 ref var 1843 def 71 ref 49 ref 1843 remove varTerm appTerm 1519 ref appTerm appTerm 85 ref appTerm absTerm 1844 def 1515 ref appTerm 1845 def appTerm refl 1844 ref 1477 ref appTerm betaConv appThm 155 ref 1845 remove betaConv appThm 71 ref 1478 ref 1519 ref appTerm appTerm 85 ref appTerm 1846 def refl 1847 def appThm trans 1844 remove refl 1835 remove assume 1848 def appThm eqMp sym 227 ref 71 ref 1597 ref 1473 ref appTerm appTerm 1849 def 36 ref 1518 remove 233 ref appTerm appTerm 1480 remove 233 ref appTerm 1850 def appTerm appTerm absTerm 1851 def 81 ref appTerm 1852 def betaConv 66 ref 68 ref 1851 ref appTerm 1853 def absTerm 1854 def 74 ref appTerm 1855 def betaConv 26 ref 65 ref 66 ref 68 ref 227 ref 1849 ref 36 ref 1718 remove 74 ref appTerm 233 ref appTerm appTerm 1850 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1856 def 1454 ref appTerm 1857 def betaConv 1775 ref 1446 ref appTerm 1858 def betaConv 1831 ref nil 1833 ref 111 ref 1858 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1777 ref 1588 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 1856 ref appTerm nil cons cons 111 ref 1857 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1856 remove nil cons cons 1722 remove cons nil cons cons 205 ref subst eqMp eqMp 1859 def nil 110 ref 65 ref 1854 ref appTerm nil cons cons 1860 def 111 ref 1855 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1854 ref nil cons cons 1861 def 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1853 remove nil cons cons 111 ref 1852 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1851 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp 1862 def nil 110 ref 1849 remove 36 ref 1519 ref appTerm 1481 ref appTerm 1863 def appTerm nil cons cons 1864 def 111 ref 1846 remove nil cons 1865 def cons nil cons 1866 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 1837 ref 1591 remove appThm 1838 ref trans appThm 1863 ref refl appThm nil 139 ref 1863 ref nil cons 1867 def cons nil cons nil cons cons 840 ref subst trans appThm 1868 def 1847 remove appThm sym nil 110 ref 1867 ref cons 1869 def 1866 remove cons nil cons cons 1870 def 126 ref subst 1870 remove 194 ref subst 36 ref "_31918" 3 ref var 1871 def 71 ref 1478 ref 1871 remove varTerm appTerm appTerm 85 ref appTerm absTerm 1872 def 1519 ref appTerm 1873 def appTerm refl 1872 ref 1481 ref appTerm betaConv appThm 155 ref 1873 remove betaConv appThm 1482 remove refl appThm trans 1872 remove refl 1863 remove assume 1874 def appThm eqMp sym 1483 ref 81 ref appTerm 1875 def betaConv 1485 ref 76 ref appTerm 1876 def betaConv 1487 ref 74 ref appTerm 1877 def betaConv nil 110 ref 1551 remove cons 111 ref 1877 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 1487 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1486 remove nil cons cons 111 ref 1876 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1485 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1484 remove nil cons cons 111 ref 1875 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1483 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 1867 remove cons 1878 def 153 ref 1865 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 151 ref 1839 remove cons 1879 def 1747 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 1753 ref cons 1880 def 1747 remove cons nil cons cons 167 ref subst deductAntisym eqMp 139 ref 1185 ref 142 ref appTerm 1300 ref appTerm absTerm 1881 def 1598 remove appTerm 1882 def betaConv nil 343 ref 1881 ref appTerm 1883 def axiom 1884 def nil 110 ref 1883 remove nil cons cons 1885 def 111 ref 1882 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 1881 ref nil cons cons 1886 def 347 ref 1753 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp 1887 def nil 1880 ref 153 ref 1600 remove cons 1888 def 1335 ref 1595 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 1527 remove nil cons cons 1585 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 1564 remove cons 153 ref 1529 remove cons nil cons 1889 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1557 remove cons 1889 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1508 ref 797 ref appTerm appTerm 1528 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1509 remove appTerm 1528 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1508 remove nil cons cons 1889 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 1546 remove cons 1889 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1539 remove cons 1889 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1489 ref 797 ref appTerm appTerm 1528 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1490 remove appTerm 1528 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1489 remove nil cons cons 1889 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 1510 remove cons 1889 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 1890 def subst eqMp eqMp 207 ref 208 ref 1114 remove nil cons cons 29 ref 1152 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp nil 1437 remove 153 ref 1128 remove cons nil cons 1891 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1145 remove cons 1891 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 1144 remove appTerm nil cons cons 111 ref 71 ref 1141 remove appTerm 1115 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1140 remove nil cons cons 1891 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 1137 remove cons 1891 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1134 remove cons 1891 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 1126 ref 39 ref appTerm appTerm 1115 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1127 remove appTerm 1115 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1126 remove nil cons cons 1891 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 1104 remove cons 1065 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 1102 remove cons 1065 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref "x'" 2 ref var 1892 def 71 ref 1084 ref 1892 ref varTerm 1893 def appTerm appTerm 1010 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1085 remove appTerm 1010 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1084 remove nil cons cons 1065 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 1098 remove cons 1065 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 1086 ref 627 ref appTerm appTerm 1894 def 1010 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1087 ref appTerm 1895 def 1010 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1086 ref nil cons cons 1896 def 1065 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp nil 151 ref 1074 remove cons 153 ref 1076 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 1066 remove appTerm 1073 remove appTerm nil cons cons 111 ref 65 ref 1042 ref appTerm nil cons 1897 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 1042 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 1044 ref appThm 1042 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 1044 remove absThm appThm appThm nil 1024 ref 1042 remove nil cons 1898 def cons nil cons nil cons cons 1024 ref 71 ref 49 ref 1024 ref varTerm 1899 def 220 ref appTerm appTerm 65 ref 48 ref 71 ref 1899 ref 57 ref appTerm 1900 def appTerm 1899 ref 309 ref appTerm appTerm absTerm appTerm appTerm appTerm 65 ref 48 ref 1900 remove absTerm appTerm appTerm absTerm 1901 def 1899 ref appTerm 1902 def betaConv nil 64 ref 1 ref 46 ref 4 ref cons opType constTerm 1901 ref appTerm 1903 def axiom nil 110 ref 1903 remove nil cons cons 111 ref 1902 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 50 ref cons nil cons "P" 46 remove var 1901 remove nil cons cons "x" 45 ref var 1899 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp 1904 def subst eqMp eqMp nil 110 ref 1897 remove cons 111 ref 1043 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1898 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 1075 remove 111 ref 1040 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 1039 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 151 ref 1008 remove cons 153 ref 1013 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 1905 def subst eqMp eqMp nil 99 ref 29 ref 725 ref 26 ref 853 remove 41 ref appTerm 1906 def absTerm appTerm absTerm appTerm thm 624 ref 29 ref 997 ref 26 ref 439 ref 625 ref appThm 998 ref appThm 1907 def absThm appThm absThm appThm sym nil 68 ref 263 ref 1000 ref 1001 ref 437 ref 627 ref appTerm 1002 ref appTerm 1908 def absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 1000 ref 70 ref 437 ref 76 ref appTerm 81 ref appTerm 1909 def absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 725 ref 26 ref 438 ref 39 ref appTerm 41 ref appTerm 1910 def absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 441 ref 1905 ref subst eqMp eqMp nil 99 ref 29 ref 725 ref 26 ref 436 ref 39 ref appTerm 41 ref appTerm 1911 def absTerm appTerm absTerm appTerm thm 624 ref 29 ref 997 ref 26 ref 445 ref 625 ref appThm 998 ref appThm 1912 def absThm appThm absThm appThm sym nil 68 ref 263 ref 1000 ref 1001 ref 443 ref 627 ref appTerm 1002 ref appTerm 1913 def absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 1000 ref 70 ref 443 ref 76 ref appTerm 81 ref appTerm 1914 def absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 725 ref 26 ref 444 remove 39 ref appTerm 41 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 447 ref 1905 ref subst eqMp eqMp nil 99 ref 29 ref 725 ref 26 ref 442 ref 39 ref appTerm 41 ref appTerm 1915 def absTerm appTerm absTerm appTerm thm nil 262 ref 227 ref 448 ref 243 ref appTerm 243 ref appTerm 1916 def absTerm 1917 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 1916 ref nil cons cons nil cons nil cons cons 146 ref subst nil 26 ref 267 ref cons 1918 def 1154 ref cons nil cons cons 486 ref subst 216 ref nil 258 ref 1156 ref nil cons 1919 def cons nil cons 1920 def nil cons cons 489 ref subst 1921 def appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 49 ref 461 ref 1156 ref appTerm 1922 def appTerm 1923 def refl 1352 ref nil 1170 ref 464 ref nil cons 1924 def cons 66 ref 511 ref cons nil cons cons nil cons cons 1351 ref subst appThm appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm nil 139 ref 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 1923 remove 1358 ref 515 remove 467 ref 464 ref appTerm 233 ref appTerm 1925 def appTerm 1926 def appTerm 1927 def appTerm 1928 def appTerm 469 ref appTerm 1929 def absTerm 1930 def appTerm 1931 def absTerm 1932 def appTerm 1933 def absTerm 1934 def appTerm 1935 def absTerm 1936 def appTerm nil cons cons nil cons nil cons cons 527 ref subst trans trans sym nil 257 ref 1936 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1935 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 1934 remove nil cons cons nil cons nil cons cons 662 ref subst 452 ref nil 139 ref 1933 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1932 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 1931 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1930 remove nil cons cons nil cons nil cons cons 663 ref subst 453 ref nil 139 ref 1929 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 1928 remove nil cons 1937 def cons 111 ref 521 ref cons nil cons 1938 def cons nil cons cons 1939 def 126 ref subst 1939 remove 194 ref subst nil 151 ref 1922 remove nil cons cons 153 ref 1927 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 1429 ref 153 ref 1926 remove nil cons cons nil cons cons nil cons cons 1940 def 167 ref subst 1940 remove 334 ref subst 1432 ref nil 151 ref 516 remove cons 153 ref 1925 ref nil cons cons nil cons cons nil cons cons 334 ref subst 467 ref refl 1434 ref appThm 1925 remove assume appThm 1389 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 1937 remove cons 153 ref 521 ref cons nil cons 1941 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 1942 def absThm eqMp nil 68 ref 1917 remove appTerm thm 225 ref "s" 11 ref var 1943 def 1943 ref 531 remove "Hardware.Bus.case1" const 1 ref 11 ref 534 ref cons opType constTerm 1943 ref varTerm 1944 def appTerm 1945 def appTerm 535 ref "Hardware.case1" const 1 ref 11 ref 590 remove cons opType 1946 def constTerm 1944 ref appTerm 1947 def appTerm 1948 def appTerm absTerm 1949 def 1944 ref appTerm 1950 def betaConv nil 68 ref 1949 ref appTerm 1951 def axiom nil 110 ref 1951 remove nil cons cons 111 ref 1950 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1949 remove nil cons cons 263 ref 1944 ref nil cons cons nil cons 1952 def cons nil cons cons 205 ref subst eqMp eqMp 1953 def 21 ref appThm 21 ref appThm 21 ref appThm absThm appThm sym nil 262 ref 1943 ref 1948 ref 20 ref appTerm 20 ref appTerm 20 ref appTerm 1954 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 1954 remove nil cons cons nil cons nil cons cons 146 ref subst nil 539 ref 1947 ref nil cons cons 1955 def nil cons 1956 def nil cons cons 1957 def 602 ref subst eqMp absThm eqMp eqMp nil 68 ref 1943 ref 1945 ref 20 ref appTerm 20 ref appTerm 20 ref appTerm absTerm appTerm thm 588 ref refl 1958 def 539 ref 601 ref absThm appThm 383 ref 591 ref 384 ref cons 1959 def 389 remove subst subst trans sym 145 ref eqMp nil 588 ref 539 ref 545 ref 20 ref appTerm 1960 def 20 ref appTerm 1961 def 20 ref appTerm 1962 def absTerm appTerm thm 224 ref 66 ref 225 ref 227 ref 308 ref refl 367 remove appThm 1304 remove trans absThm appThm 390 ref trans absThm appThm 392 ref trans sym 145 ref eqMp nil 65 ref 66 ref 68 ref 227 ref 308 ref 518 remove 233 ref appTerm appTerm absTerm appTerm absTerm appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 36 ref 10 ref 1151 ref appTerm 242 ref 1002 ref appTerm 1963 def appTerm appTerm 1003 ref appTerm 1964 def absTerm 1965 def appTerm 1966 def absTerm 1967 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 1966 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1965 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 1964 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 19 ref 1151 ref refl 1968 def appThm 1963 ref refl 1969 def appThm appThm 1003 ref refl appThm sym nil 263 ref 1002 ref nil cons 1970 def cons 1971 def 1166 ref 24 ref cons cons nil cons cons 1438 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 1967 remove appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 36 ref 436 ref 1151 ref appTerm 1963 ref appTerm appTerm 1908 ref appTerm 1972 def absTerm 1973 def appTerm 1974 def absTerm 1975 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 1974 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1973 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 1972 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 439 ref 1968 ref appThm 1969 ref appThm appThm 1908 ref refl appThm sym nil 1971 ref 1166 ref 440 ref cons cons nil cons cons 1438 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 1975 remove appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 36 ref 442 ref 1151 ref appTerm 1963 ref appTerm appTerm 1913 ref appTerm 1976 def absTerm 1977 def appTerm 1978 def absTerm 1979 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 1978 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1977 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 1976 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 445 ref 1968 ref appThm 1969 ref appThm appThm 1913 remove refl appThm sym nil 1971 ref 1166 ref 446 remove cons cons nil cons cons 1438 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 1979 remove appTerm thm nil 178 ref 22 ref 71 ref 633 remove appTerm 638 remove appTerm 1980 def absTerm 1981 def nil cons cons nil cons nil cons cons 995 remove 642 ref subst 1982 def subst 22 ref nil 139 ref 1980 remove nil cons cons nil cons nil cons cons 146 ref subst 851 remove eqMp absThm eqMp nil 108 ref 1981 remove appTerm thm nil 208 ref 29 ref 65 ref 66 ref 68 ref 227 ref 71 ref 234 ref appTerm 1766 ref appTerm 1983 def absTerm 1984 def appTerm 1985 def absTerm 1986 def appTerm 1987 def absTerm 1988 def nil cons cons 1989 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 1987 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 1986 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 1985 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 1984 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 1983 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 234 ref nil cons 1990 def cons 111 ref 1766 ref nil cons 1991 def cons nil cons cons nil cons cons 1992 def 126 ref subst 1992 remove 194 ref subst 1798 remove sym 26 ref 241 ref 41 ref appTerm 1993 def absTerm 1994 def 243 ref appTerm betaConv 1995 def sym 227 ref 36 ref 244 ref appTerm 234 ref appTerm 1996 def absTerm 1997 def 233 ref appTerm 1998 def betaConv 66 ref 68 ref 1997 ref appTerm 1999 def absTerm 2000 def 74 ref appTerm 2001 def betaConv 29 ref 65 ref 2000 ref appTerm 2002 def absTerm 2003 def 39 ref appTerm 2004 def betaConv 624 ref 29 ref 224 ref 66 ref 225 ref 227 ref 1996 remove assume sym 245 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 255 remove eqMp nil 110 ref 99 ref 2003 ref appTerm nil cons cons 111 ref 2004 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2003 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2002 remove nil cons cons 111 ref 2001 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2000 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1999 remove nil cons cons 111 ref 1998 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 1997 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp 2005 def nil 139 ref 1990 ref cons nil cons nil cons cons 146 ref subst 234 ref assume eqMp trans sym 145 ref eqMp eqMp 207 ref 208 ref 1994 ref nil cons cons 2006 def 1154 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 1994 ref appTerm 2007 def nil cons 2008 def cons 111 ref 1607 ref 457 ref 240 ref appTerm appTerm 2009 def 55 ref appTerm 2010 def nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 274 remove nil cons cons 29 ref 71 ref 725 ref 26 ref 728 ref absTerm 2011 def appTerm 2012 def appTerm 2013 def 1801 ref appTerm 2014 def absTerm 2015 def 39 ref appTerm 2016 def betaConv 48 ref 99 ref 2015 ref appTerm 2017 def absTerm 2018 def 57 ref appTerm 2019 def betaConv 271 ref 65 ref 2018 ref appTerm 2020 def absTerm 2021 def 275 ref appTerm 2022 def betaConv nil 99 ref 29 ref 65 ref 271 ref 65 ref 48 ref 99 ref 26 ref 71 ref 728 ref appTerm 2023 def 1801 ref appTerm absTerm 2024 def appTerm 2025 def absTerm 2026 def appTerm 2027 def absTerm 2028 def appTerm 2029 def absTerm 2030 def appTerm 2031 def axiom nil 110 ref 2031 ref nil cons 2032 def cons 2033 def 111 ref 65 ref 2021 ref appTerm nil cons 2034 def cons nil cons cons nil cons cons 2035 def 175 ref subst proveHyp 2035 ref 126 ref subst 2035 remove 194 ref subst nil 257 ref 2021 remove nil cons cons 2036 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 2020 remove nil cons 2037 def cons nil cons nil cons cons 146 ref subst nil 257 ref 2018 remove nil cons cons 2038 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 2017 remove nil cons 2039 def cons nil cons nil cons cons 146 ref subst nil 208 ref 2015 remove nil cons cons 2040 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2014 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2012 ref nil cons 2041 def cons 2042 def 111 ref 1801 ref nil cons 2043 def cons nil cons 2044 def cons nil cons cons 2045 def 126 ref subst 2045 ref 194 ref subst nil 2033 ref 2044 ref cons nil cons cons 2046 def 175 ref subst nil 2042 remove 111 ref 71 ref 2031 remove appTerm 1801 ref appTerm 2047 def nil cons 2048 def cons nil cons 2049 def cons nil cons cons 175 ref subst nil 208 ref 26 ref 71 ref 2011 ref 41 ref appTerm 2050 def appTerm 2047 ref appTerm 2051 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 2051 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2050 ref nil cons 2052 def cons 2049 ref cons nil cons cons 2053 def 126 ref subst 2053 remove 194 ref subst 2050 ref betaConv 2050 remove assume eqMp nil 110 ref 728 ref nil cons 2054 def cons 2055 def 2049 remove cons nil cons cons 2056 def 175 ref subst proveHyp 2056 ref 126 ref subst 2056 remove 194 ref subst 2046 ref 126 ref subst 2046 remove 194 ref subst nil 2055 ref 2044 remove cons nil cons cons 175 ref subst 2024 ref 41 ref appTerm 2057 def betaConv 2026 ref 57 ref appTerm 2058 def betaConv 2028 ref 275 ref appTerm 2059 def betaConv 2030 ref 39 ref appTerm 2060 def betaConv nil 2033 remove 111 ref 2060 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 2030 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2029 remove nil cons cons 111 ref 2059 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2028 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2027 remove nil cons cons 111 ref 2058 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2026 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2025 remove nil cons cons 111 ref 2057 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2024 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2032 remove cons 2061 def 153 ref 2043 remove cons nil cons 2062 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 2054 ref cons 2063 def 153 ref 2048 remove cons nil cons 2064 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2052 remove cons 2064 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 2011 ref 1893 ref appTerm appTerm 2047 ref appTerm absTerm appTerm nil cons cons 111 ref 2013 remove 2047 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2011 ref nil cons cons 2065 def 2064 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2041 remove cons 2062 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 2061 remove 153 ref 2034 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 2034 remove cons 111 ref 2022 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2036 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2037 remove cons 111 ref 2019 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2038 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2039 remove cons 111 ref 2016 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2040 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp 2066 def subst eqMp eqMp eqMp nil 151 ref 1990 remove cons 153 ref 1991 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 2067 def nil 99 ref 1988 ref appTerm 2068 def thm nil 208 ref 29 ref 65 ref 66 ref 1767 remove 1000 ref 227 ref 234 ref absTerm 2069 def appTerm 2070 def appTerm 2071 def absTerm 2072 def appTerm 2073 def absTerm 2074 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2073 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 2072 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 2071 ref nil cons 2075 def cons nil cons nil cons cons 146 ref subst nil 110 ref 1991 ref cons 2076 def 111 ref 2070 ref nil cons 2077 def cons 2078 def nil cons 2079 def cons nil cons cons 2080 def 126 ref subst 2080 remove 194 ref subst 48 ref 71 ref 1607 ref 457 ref 57 ref appTerm appTerm 55 ref appTerm appTerm 725 ref 26 ref 702 ref 41 ref appTerm 2081 def absTerm appTerm appTerm absTerm 2082 def 240 ref appTerm 2083 def betaConv 271 ref 65 ref 48 ref 1802 remove 2012 remove appTerm absTerm appTerm absTerm 2084 def 74 ref appTerm 2085 def betaConv 29 ref 65 ref 2084 ref appTerm 2086 def absTerm 2087 def 39 ref appTerm 2088 def betaConv nil 99 ref 2087 ref appTerm 2089 def axiom 2090 def nil 110 ref 2089 remove nil cons cons 2091 def 111 ref 2088 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2087 ref nil cons cons 2092 def 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2086 remove nil cons cons 111 ref 2085 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2084 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 2082 ref appTerm nil cons cons 111 ref 2083 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2082 remove nil cons cons 704 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 2010 remove appTerm 2007 ref appTerm nil cons cons 2079 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 1795 ref 1222 ref 493 ref 52 ref 1225 remove appTerm 1223 ref appTerm 2093 def absTerm 2094 def 496 ref appTerm 2095 def betaConv 224 ref 493 ref 2093 remove assume sym 1226 remove assume sym deductAntisym absThm appThm 1230 ref eqMp nil 110 ref 65 ref 2094 ref appTerm nil cons cons 111 ref 2095 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2094 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp 2096 def subst appThm 1797 ref appThm 1779 ref 1789 ref 57 ref appTerm 2097 def betaConv 1791 ref 496 ref appTerm 2098 def betaConv 1793 remove nil 110 ref 1792 remove nil cons cons 111 ref 2098 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1791 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1790 remove nil cons cons 111 ref 2097 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1789 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 2099 def subst nil 139 ref 1991 ref cons nil cons nil cons cons 146 ref subst 1766 ref assume eqMp trans trans appThm 2007 ref refl appThm nil 139 ref 2008 remove cons nil cons nil cons cons 840 ref subst trans appThm 2070 ref refl 2100 def appThm sym nil 208 ref 26 ref 71 ref 1994 ref 41 ref appTerm 2101 def appTerm 2070 ref appTerm 2102 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 2102 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2101 ref nil cons 2103 def cons 2079 ref cons nil cons cons 2104 def 126 ref subst 2104 remove 194 ref subst 2101 ref betaConv 2105 def 2101 remove assume eqMp nil 110 ref 1993 ref nil cons 2106 def cons 2079 ref cons nil cons cons 2107 def 175 ref subst proveHyp 2107 ref 126 ref subst 2107 remove 194 ref subst 26 ref 71 ref 1993 ref appTerm 61 ref 240 ref appTerm 2108 def appTerm 2109 def absTerm 2110 def 41 ref appTerm 2111 def betaConv 48 ref 99 ref 26 ref 71 ref 2081 remove appTerm 62 ref appTerm absTerm appTerm absTerm 2112 def 240 ref appTerm 2113 def betaConv 271 ref 65 ref 48 ref 99 ref 26 ref 2023 ref 62 ref appTerm absTerm 2114 def appTerm 2115 def absTerm 2116 def appTerm 2117 def absTerm 2118 def 74 ref appTerm 2119 def betaConv 29 ref 65 ref 2118 ref appTerm 2120 def absTerm 2121 def 39 ref appTerm 2122 def betaConv 2123 def nil 99 ref 2121 ref appTerm 2124 def axiom 2125 def nil 110 ref 2124 ref nil cons 2126 def cons 2127 def 111 ref 2122 remove nil cons cons nil cons cons nil cons cons 175 ref subst 2128 def proveHyp 207 ref 208 ref 2121 remove nil cons cons 210 ref cons nil cons cons 205 ref subst 2129 def eqMp eqMp nil 110 ref 2120 remove nil cons cons 2130 def 111 ref 2119 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2118 ref nil cons cons 2131 def 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 2112 ref appTerm nil cons cons 111 ref 2113 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2112 remove nil cons cons 704 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 2110 ref appTerm nil cons cons 111 ref 2111 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2110 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2109 remove nil cons cons 2079 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 2106 ref cons nil cons nil cons cons 146 ref subst 1993 remove assume 2132 def eqMp appThm 2108 ref refl appThm nil 139 ref 2108 ref nil cons 2133 def cons nil cons nil cons cons 840 ref subst trans appThm 2100 ref appThm sym nil 110 ref 2133 ref cons 2079 ref cons nil cons cons 2134 def 126 ref subst 2134 remove 194 ref subst 29 ref 36 ref 56 ref 240 ref appTerm 2135 def appTerm 1000 ref 227 ref 279 ref 243 ref appTerm absTerm appTerm appTerm absTerm 2136 def 41 ref appTerm 2137 def betaConv nil 99 ref 2136 ref appTerm 2138 def axiom 2139 def nil 110 ref 2138 remove nil cons cons 2140 def 111 ref 2137 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2136 ref nil cons cons 2141 def 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 36 ref 2108 ref appTerm 1000 ref 227 ref 739 ref 243 ref appTerm 2142 def absTerm 2143 def appTerm 2144 def appTerm nil cons cons 2079 ref cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 217 ref 2108 remove assume appThm 1234 ref appThm 1426 ref trans appThm 2144 ref refl appThm nil 139 ref 2144 ref nil cons cons nil cons nil cons cons 139 ref 36 ref 36 ref 131 ref appTerm 142 ref appTerm appTerm 142 ref appTerm absTerm 2145 def 142 ref appTerm 2146 def betaConv nil 343 ref 2145 ref appTerm 2147 def axiom nil 110 ref 2147 remove nil cons cons 111 ref 2146 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2145 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 2148 def subst trans appThm 2100 remove appThm sym nil 262 ref 227 ref 71 ref 2143 ref 233 ref appTerm 2149 def appTerm 2070 ref appTerm 2150 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 2150 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2149 ref nil cons 2151 def cons 2079 ref cons nil cons cons 2152 def 126 ref subst 2152 remove 194 ref subst 2149 ref betaConv 2149 remove assume eqMp nil 110 ref 2142 ref nil cons 2153 def cons 2079 remove cons nil cons cons 2154 def 175 ref subst proveHyp 2154 ref 126 ref subst 2154 remove 194 ref subst 2069 ref 233 ref appTerm betaConv sym 266 ref nil 139 ref 244 ref nil cons 2155 def cons nil cons nil cons cons 146 ref subst 36 ref "_31846" 2 ref var 2156 def 241 ref 2156 remove varTerm appTerm absTerm 2157 def 41 ref appTerm appTerm refl 1995 remove appThm 155 ref 2105 remove appThm 244 ref refl appThm trans 2157 remove refl 2142 remove assume appThm eqMp 2132 remove eqMp eqMp trans sym 145 ref eqMp eqMp 261 ref 262 ref 2069 ref nil cons cons 2158 def 265 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 2153 remove cons 153 ref 2077 remove cons nil cons 2159 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2151 remove cons 2159 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 2143 ref 627 ref appTerm appTerm 2070 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2144 remove appTerm 2070 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2143 remove nil cons cons 2159 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2133 remove cons 2159 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 2106 remove cons 2159 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2103 remove cons 2159 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 1994 remove 1893 ref appTerm appTerm 2070 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2007 remove appTerm 2070 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2006 remove 2159 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 1991 remove cons 2159 remove cons nil cons cons 167 ref subst deductAntisym eqMp 2160 def eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 2074 remove appTerm thm 624 ref 29 ref 624 ref 26 ref 1118 ref refl 2161 def 997 ref 542 ref 538 ref 625 ref appThm 2162 def 998 ref appThm 547 ref refl 2163 def appThm 2164 def absThm appThm appThm absThm appThm absThm appThm sym nil 68 ref 263 ref 68 ref 1001 ref 1000 ref "z" 11 ref var 2165 def 536 ref 627 ref appTerm 2166 def 1002 ref appTerm 2167 def 2165 ref varTerm 2168 def appTerm 2169 def absTerm appTerm absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 68 ref 70 ref 1000 ref 552 ref 536 ref 76 ref appTerm 2170 def 81 ref appTerm 556 ref appTerm 2171 def absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 537 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 541 ref nil 110 ref 68 ref 69 ref 68 ref 70 ref 1000 ref 552 ref 562 ref absTerm appTerm absTerm appTerm absTerm 2172 def appTerm 2173 def nil cons 2174 def cons 2175 def 111 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 548 ref absTerm appTerm 2176 def appTerm 2177 def absTerm 2178 def appTerm 2179 def absTerm 2180 def appTerm 2181 def nil cons 2182 def cons nil cons cons nil cons cons 2183 def 126 ref subst 2183 remove 194 ref subst nil 208 ref 2180 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2179 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2178 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 2177 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 450 ref nil cons 2184 def cons 2185 def 111 ref 2176 ref nil cons 2186 def cons nil cons 2187 def cons nil cons cons 2188 def 126 ref subst 2188 remove 194 ref subst 48 ref 59 ref 62 ref appTerm 2189 def absTerm 2190 def 60 ref appTerm betaConv sym 216 ref 217 ref 450 remove assume 2191 def appThm 60 ref refl 2192 def appThm nil 1131 ref nil cons cons 489 ref subst 2193 def trans appThm 2194 def 2193 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 2190 ref nil cons 2195 def cons 2196 def 1131 remove cons nil cons cons 724 ref subst proveHyp 2197 def nil 110 ref 47 ref 2190 ref appTerm 2198 def nil cons 2199 def cons 2200 def 2187 ref cons nil cons cons 175 ref subst 155 ref 226 ref 215 ref 48 ref 2190 ref 57 ref appTerm 2201 def betaConv 2202 def absThm appThm appThm 2203 def 2176 ref refl 2204 def appThm appThm 224 ref 48 ref 226 ref 2202 ref appThm 2205 def 2204 ref appThm absThm appThm appThm nil 1024 ref 2195 remove cons 2206 def 2187 remove cons nil cons cons 1037 ref subst eqMp sym nil 257 ref 48 ref 71 ref 2189 ref appTerm 2207 def 2176 ref appTerm 2208 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 2208 ref nil cons cons nil cons nil cons cons 146 ref subst 26 ref 2208 remove absTerm 2209 def 41 ref appTerm 2210 def betaConv 29 ref 99 ref 2209 ref appTerm 2211 def absTerm 2212 def 39 ref appTerm 2213 def betaConv 48 ref 99 ref 2212 ref appTerm 2214 def absTerm 2215 def 57 ref appTerm 2216 def betaConv 2217 def nil 208 ref 29 ref 99 ref 26 ref 71 ref 49 ref 1045 ref appTerm 2218 def 61 ref 220 ref appTerm 2219 def appTerm appTerm 2220 def 2176 ref appTerm 2221 def absTerm 2222 def appTerm 2223 def absTerm 2224 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2223 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2222 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 2221 remove nil cons cons nil cons nil cons cons 146 ref subst nil 1340 ref 2186 ref cons 2225 def 111 ref 2219 ref nil cons cons 110 ref 1045 remove nil cons cons nil cons cons cons nil cons cons 1340 ref 36 ref 71 ref 117 remove appTerm 1341 ref appTerm 2226 def appTerm 113 ref 1347 ref appTerm 2227 def appTerm 2228 def absTerm 2229 def 1341 ref appTerm 2230 def betaConv 111 ref 343 ref 2229 ref appTerm 2231 def absTerm 2232 def 114 ref appTerm 2233 def betaConv 110 ref 343 ref 2232 ref appTerm 2234 def absTerm 2235 def 112 ref appTerm 2236 def betaConv 343 ref refl 2237 def 110 ref 2237 ref 111 ref 2237 ref 1340 ref 2228 remove assume sym 36 ref 2227 remove appTerm 2226 remove appTerm 2238 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 343 ref 110 ref 343 ref 111 ref 343 ref 1340 ref 2238 remove absTerm 2239 def appTerm 2240 def absTerm 2241 def appTerm 2242 def absTerm 2243 def appTerm 2244 def axiom 2245 def eqMp nil 110 ref 343 ref 2235 ref appTerm nil cons cons 111 ref 2236 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2235 remove nil cons cons 347 ref 140 remove cons nil cons 2246 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2234 remove nil cons cons 111 ref 2233 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2232 remove nil cons cons 1036 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2231 remove nil cons cons 111 ref 2230 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2229 remove nil cons cons 347 ref 1341 ref nil cons 2247 def cons nil cons 2248 def cons nil cons cons 205 ref subst eqMp eqMp 2249 def subst 1052 remove 226 ref 1677 ref 1051 ref subst 2250 def appThm 2204 ref appThm appThm trans sym nil 1054 remove 111 ref 71 ref 739 ref 20 ref appTerm 2251 def appTerm 2252 def 2176 ref appTerm nil cons 2253 def cons nil cons cons nil cons cons 2254 def 126 ref subst 2254 remove 194 ref subst 36 ref "_32078" 2 ref var 2255 def 2252 ref 725 ref 542 ref 545 ref 2255 remove varTerm appTerm 41 ref appTerm 547 ref appTerm absTerm appTerm appTerm absTerm 2256 def 39 ref appTerm 2257 def appTerm refl 2256 ref 20 ref appTerm betaConv appThm 155 ref 2257 remove betaConv appThm 2252 remove 725 ref 542 ref 1960 ref 41 ref appTerm 2258 def 547 ref appTerm 2259 def absTerm appTerm 2260 def appTerm refl appThm trans 2256 remove refl 1063 ref appThm eqMp sym nil 110 ref 2251 ref nil cons 2261 def cons 2262 def 111 ref 2260 remove nil cons 2263 def cons nil cons cons nil cons cons 2264 def 126 ref subst 2264 remove 194 ref subst 36 ref "_32082" 2 ref var 2265 def 725 ref 542 ref 1960 ref 2265 remove varTerm appTerm 547 ref appTerm absTerm appTerm absTerm 2266 def 41 ref appTerm 2267 def appTerm refl 2266 ref 20 ref appTerm betaConv appThm 155 ref 2267 remove betaConv appThm 725 ref 542 ref 1961 remove 547 ref appTerm absTerm 2268 def appTerm refl appThm trans 2266 remove refl 2251 ref assume 2269 def appThm eqMp sym 2268 ref 20 ref appTerm betaConv sym 602 ref eqMp 207 ref 208 ref 2268 remove nil cons cons 31 remove cons nil cons cons 724 ref subst proveHyp eqMp eqMp nil 151 ref 2261 ref cons 2270 def 153 ref 2263 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 1064 ref 153 ref 2253 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 2224 remove appTerm 2271 def nil cons cons 111 ref 65 ref 48 ref 71 ref 2214 ref appTerm 99 ref 29 ref 99 ref 26 ref 71 ref 49 ref 1067 ref appTerm 2272 def 61 ref 309 ref appTerm 2273 def appTerm appTerm 2274 def 2176 ref appTerm 2275 def absTerm 2276 def appTerm 2277 def absTerm 2278 def appTerm 2279 def appTerm 2280 def absTerm 2281 def appTerm 2282 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 2281 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 2280 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2214 remove nil cons 2283 def cons 2284 def 111 ref 2279 remove nil cons 2285 def cons nil cons cons nil cons cons 2286 def 126 ref subst 2286 remove 194 ref subst nil 208 ref 2278 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2277 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2276 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 2275 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2225 remove 111 ref 2273 ref nil cons 2287 def cons 110 ref 1067 remove nil cons cons nil cons 2288 def cons 2289 def cons nil cons cons 2249 ref subst 1095 ref 226 ref 1677 remove 1094 ref subst appThm 2290 def 2204 remove appThm appThm trans sym nil 262 ref "xh" 11 ref var 2291 def 71 ref 1086 remove 2291 ref varTerm 2292 def appTerm 2293 def appTerm 2294 def 71 ref 1000 ref 227 ref 725 ref 1111 ref 49 ref 739 ref 1079 remove 1113 ref appTerm appTerm appTerm 2295 def 52 ref 54 ref 1113 ref appTerm appTerm 2296 def 57 ref appTerm 2297 def appTerm absTerm appTerm absTerm 2298 def appTerm appTerm 2299 def 2176 remove appTerm 2300 def appTerm 2301 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 2301 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2293 ref nil cons 2302 def cons 2303 def 111 ref 2300 ref nil cons 2304 def cons nil cons 2305 def cons nil cons cons 2306 def 126 ref subst 2306 remove 194 ref subst 2293 ref betaConv 2293 remove assume eqMp 2307 def nil 110 ref 725 ref 26 ref 49 ref 279 ref 1078 ref 242 ref 2292 ref appTerm 2308 def appTerm 2309 def 41 ref appTerm appTerm appTerm 62 ref appTerm absTerm 2310 def appTerm 2311 def nil cons cons 2312 def 2305 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "xt" 2 ref var 2313 def 71 ref 2310 ref 2313 ref varTerm 2314 def appTerm 2315 def appTerm 2316 def 2300 ref appTerm 2317 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 2317 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2315 ref nil cons 2318 def cons 2319 def 2305 ref cons nil cons cons 2320 def 126 ref subst 2320 remove 194 ref subst 2315 ref betaConv 2315 remove assume eqMp 2321 def nil 110 ref 49 ref 279 ref 2309 remove 2314 ref appTerm 2322 def appTerm 2323 def appTerm 52 ref 54 ref 2314 ref appTerm 2324 def appTerm 2325 def 57 ref appTerm 2326 def appTerm nil cons 2327 def cons 2328 def 2305 remove cons nil cons cons 2329 def 175 ref subst proveHyp 2329 ref 126 ref subst 2329 remove 194 ref subst nil 151 ref 2323 ref nil cons cons 153 ref 2326 ref nil cons 2330 def cons nil cons cons nil cons cons 2331 def 167 ref subst 2332 def 2331 remove 334 ref subst 2333 def 36 ref "_32086" 2 ref var 2334 def 2299 ref 725 ref 542 ref 545 ref 2334 remove varTerm appTerm 41 ref appTerm 547 ref appTerm absTerm appTerm appTerm absTerm 2335 def 39 ref appTerm 2336 def appTerm refl 2335 ref 2322 ref appTerm betaConv appThm 155 ref 2336 remove betaConv appThm 2299 ref 725 ref 542 ref 545 ref 2322 ref appTerm 2337 def 41 ref appTerm 2338 def 547 ref appTerm 2339 def absTerm appTerm 2340 def appTerm 2341 def refl appThm trans 2335 remove refl 2323 remove assume 2342 def appThm eqMp sym nil 262 ref "yh" 11 ref var 2343 def 71 ref 2298 ref 2343 ref varTerm 2344 def appTerm 2345 def appTerm 2346 def 2340 ref appTerm 2347 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 2347 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2345 ref nil cons 2348 def cons 2349 def 111 ref 2340 ref nil cons 2350 def cons nil cons 2351 def cons nil cons cons 2352 def 126 ref subst 2352 remove 194 ref subst 2345 ref betaConv 2345 remove assume eqMp 2353 def nil 110 ref 725 ref 1111 ref 49 ref 739 ref 1078 ref 242 ref 2344 ref appTerm 2354 def appTerm 2355 def 1113 ref appTerm appTerm appTerm 2356 def 2297 remove appTerm absTerm 2357 def appTerm 2358 def nil cons cons 2359 def 2351 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "yt" 2 ref var 2360 def 71 ref 2357 ref 2360 ref varTerm 2361 def appTerm 2362 def appTerm 2363 def 2340 ref appTerm 2364 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 2364 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2362 ref nil cons 2365 def cons 2366 def 2351 ref cons nil cons cons 2367 def 126 ref subst 2367 remove 194 ref subst 2362 ref betaConv 2362 remove assume eqMp 2368 def nil 110 ref 49 ref 739 remove 2355 remove 2361 ref appTerm 2369 def appTerm 2370 def appTerm 2371 def 52 ref 54 ref 2361 ref appTerm 2372 def appTerm 2373 def 57 ref appTerm 2374 def appTerm nil cons 2375 def cons 2376 def 2351 remove cons nil cons cons 2377 def 175 ref subst proveHyp 2377 ref 126 ref subst 2377 remove 194 ref subst nil 151 ref 2370 ref nil cons cons 2378 def 153 ref 2374 ref nil cons 2379 def cons nil cons 2380 def cons nil cons cons 2381 def 167 ref subst 2382 def 2381 remove 334 ref subst 2383 def 36 ref "_32092" 2 ref var 2384 def 725 ref 542 ref 2337 ref 2384 remove varTerm appTerm 547 ref appTerm absTerm appTerm absTerm 2385 def 41 ref appTerm 2386 def appTerm refl 2385 ref 2369 ref appTerm betaConv appThm 155 ref 2386 remove betaConv appThm 725 ref 542 ref 2337 ref 2369 ref appTerm 2387 def 547 ref appTerm 2388 def absTerm 2389 def appTerm 2390 def refl 2391 def appThm trans 2385 remove refl 2370 remove assume 2392 def appThm eqMp sym 26 ref 71 ref 49 ref 2326 ref appTerm 2393 def 62 ref appTerm appTerm 2394 def 725 ref 542 ref 545 ref 2314 ref appTerm 2395 def 41 ref appTerm 2396 def 547 ref appTerm 2397 def absTerm appTerm appTerm absTerm 2398 def 2361 ref appTerm 2399 def betaConv 2212 ref 2314 ref appTerm 2400 def betaConv nil 2284 ref 111 ref 2400 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 2212 remove nil cons cons 2401 def 29 ref 2314 ref nil cons 2402 def cons 2403 def nil cons 2404 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 2398 ref appTerm nil cons cons 111 ref 2399 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2398 remove nil cons cons 29 ref 2361 ref nil cons 2405 def cons 2406 def nil cons 2407 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 2393 ref 2374 ref appTerm 2408 def appTerm 2409 def 725 ref 542 ref 2395 ref 2361 ref appTerm 2410 def 547 ref appTerm absTerm 2411 def appTerm 2412 def appTerm nil cons cons 111 ref 2390 ref nil cons 2413 def cons nil cons 2414 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 216 ref 217 ref 2326 remove assume 2415 def appThm 222 ref appThm nil 293 ref nil cons cons 489 ref subst 2416 def trans 2417 def appThm 2418 def 217 ref 2374 ref assume 2419 def appThm 222 ref appThm 2416 ref trans 2420 def appThm 528 ref trans 2421 def appThm 2422 def 2412 ref refl appThm nil 139 ref 2412 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 2391 remove appThm sym nil 208 ref "zt" 2 ref var 2423 def 71 ref 2411 ref 2423 ref varTerm 2424 def appTerm 2425 def appTerm 2390 ref appTerm 2426 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 2426 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2425 ref nil cons 2427 def cons 2414 ref cons nil cons cons 2428 def 126 ref subst 2428 remove 194 ref subst 2425 ref betaConv 2425 remove assume eqMp nil 110 ref 2410 remove 2424 ref appTerm 2429 def nil cons 2430 def cons 2414 ref cons nil cons cons 2431 def 175 ref subst proveHyp 2431 ref 126 ref subst 2431 remove 194 ref subst 70 ref 1000 ref 552 ref 544 ref 2292 ref appTerm 2432 def 81 ref appTerm 556 ref appTerm absTerm appTerm absTerm 2433 def 2344 ref appTerm 2434 def betaConv 2172 ref 2292 ref appTerm 2435 def betaConv nil 2175 remove 111 ref 2435 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 2172 remove nil cons cons 263 ref 2292 ref nil cons 2436 def cons 2437 def nil cons 2438 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 2433 ref appTerm nil cons cons 111 ref 2434 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2433 remove nil cons cons 263 ref 2344 ref nil cons 2439 def cons 2440 def nil cons 2441 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 1000 ref 552 ref 2432 ref 2344 ref appTerm 2442 def 556 ref appTerm absTerm 2443 def appTerm 2444 def nil cons cons 2414 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref "zh" 11 ref var 2445 def 71 ref 2443 ref 2445 ref varTerm 2446 def appTerm 2447 def appTerm 2390 ref appTerm 2448 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 2448 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2447 ref nil cons 2449 def cons 2414 ref cons nil cons cons 2450 def 126 ref subst 2450 remove 194 ref subst 2447 ref betaConv 2447 remove assume eqMp nil 110 ref 2442 remove 2446 ref appTerm 2451 def nil cons 2452 def cons 2453 def 2414 remove cons nil cons cons 2454 def 175 ref subst proveHyp 2454 ref 126 ref subst 2454 remove 194 ref subst 2389 ref 1078 ref 242 ref 2446 ref appTerm 2455 def appTerm 2456 def 2424 ref appTerm 2457 def appTerm betaConv sym 216 ref nil 1001 ref 2446 ref nil cons 2458 def cons 2459 def 2440 ref 227 ref 2436 ref cons 2460 def nil cons 2461 def cons cons nil cons cons 155 ref nil 542 ref 1963 ref nil cons 2462 def cons 1155 remove cons nil cons cons 596 ref subst 215 ref 48 ref 1164 remove 1169 remove 216 ref 217 ref nil 227 ref 1970 ref cons nil cons 2463 def nil cons cons 1162 ref subst appThm 222 ref appThm appThm 224 ref 66 ref 225 ref 69 ref 225 ref 70 ref 225 ref 552 ref 226 ref 1352 remove 216 ref 1353 remove appThm nil 1170 ref 597 ref cons 2463 remove cons nil cons cons 1351 ref subst appThm appThm appThm 599 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm appThm absThm appThm trans appThm 544 ref 233 ref appTerm 2464 def 627 ref appTerm 1002 ref appTerm 2465 def refl appThm sym nil 110 ref 47 ref 48 ref 1355 ref 1355 ref 1355 remove 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 1358 remove 49 ref 1360 remove appTerm 296 ref 467 ref 556 ref appTerm 1002 ref appTerm 2466 def appTerm 2467 def appTerm 2468 def appTerm 2469 def appTerm 562 ref appTerm 2470 def absTerm 2471 def appTerm 2472 def absTerm 2473 def appTerm 2474 def absTerm 2475 def appTerm 2476 def absTerm 2477 def appTerm 2478 def appTerm 2479 def appTerm 2480 def appTerm 2481 def absTerm 2482 def appTerm 2483 def nil cons 2484 def cons 111 ref 2465 ref nil cons 2485 def cons nil cons 2486 def cons nil cons cons 335 ref subst nil 257 ref 48 ref 71 ref 2482 ref 57 ref appTerm 2487 def appTerm 2465 ref appTerm 2488 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 2488 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2487 ref nil cons 2489 def cons 2486 ref cons nil cons cons 2490 def 126 ref subst 2490 remove 194 ref subst 2487 ref betaConv 2487 remove assume eqMp nil 110 ref 2481 remove nil cons 2491 def cons 2486 ref cons nil cons cons 2492 def 175 ref subst proveHyp 2492 ref 126 ref subst 2492 remove 194 ref subst nil 1381 ref 153 ref 2480 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 1381 ref 153 ref 2479 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 1381 remove 153 ref 2478 ref nil cons 2493 def cons nil cons cons nil cons cons 334 ref subst 66 ref 1384 remove 49 ref 1385 remove appTerm 296 remove 467 ref 1002 ref appTerm 1002 ref appTerm appTerm appTerm appTerm absTerm 2494 def 220 ref appTerm betaConv sym 1390 remove 216 ref 1391 remove appThm 1387 remove nil 1971 ref nil cons 2495 def nil cons cons 1388 ref subst appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 2494 ref nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 2494 remove appTerm nil cons cons 2486 remove cons nil cons cons 175 ref subst proveHyp nil 552 ref 1970 remove cons 1393 remove cons nil cons cons nil 110 ref 47 ref 66 ref 2469 ref absTerm 2496 def appTerm 2497 def nil cons 2498 def cons 2499 def 111 ref 600 ref cons nil cons 2500 def cons nil cons cons 2501 def 126 ref subst 2501 remove 194 ref subst nil 110 ref 2493 ref cons 2502 def 2500 ref cons nil cons cons 2503 def 175 ref subst nil 2499 remove 111 ref 71 ref 2478 ref appTerm 562 ref appTerm 2504 def nil cons 2505 def cons nil cons 2506 def cons nil cons cons 175 ref subst nil 257 ref 66 ref 71 ref 2496 ref 74 ref appTerm 2507 def appTerm 2504 ref appTerm 2508 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 2508 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2507 ref nil cons 2509 def cons 2506 ref cons nil cons cons 2510 def 126 ref subst 2510 remove 194 ref subst 2507 ref betaConv 2507 remove assume eqMp nil 110 ref 2469 remove nil cons 2511 def cons 2512 def 2506 remove cons nil cons cons 2513 def 175 ref subst proveHyp 2513 ref 126 ref subst 2513 remove 194 ref subst 2503 ref 126 ref subst 2503 remove 194 ref subst nil 2512 remove 2500 ref cons nil cons cons 2514 def 175 ref subst 2471 ref 556 ref appTerm 2515 def betaConv 2473 ref 81 ref appTerm 2516 def betaConv 2475 ref 76 ref appTerm 2517 def betaConv 2477 ref 74 ref appTerm 2518 def betaConv nil 2502 remove 111 ref 2518 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 2477 remove nil cons cons 2519 def 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2476 remove nil cons 2520 def cons 111 ref 2517 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2475 remove nil cons cons 2521 def 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2474 remove nil cons 2522 def cons 111 ref 2516 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2473 remove nil cons cons 2523 def 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2472 remove nil cons 2524 def cons 111 ref 2515 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2471 remove nil cons cons 2525 def 263 ref 597 ref cons nil cons 2526 def cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2493 ref cons 153 ref 600 ref cons nil cons 2527 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 2511 remove cons 2528 def 153 ref 2505 remove cons nil cons 2529 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2509 remove cons 2529 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 2496 ref 797 ref appTerm appTerm 2504 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2497 remove appTerm 2504 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2496 remove nil cons cons 2529 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2498 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp subst eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 2491 remove cons 153 ref 2485 ref cons nil cons 2530 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2489 remove cons 2530 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 2482 ref 797 ref appTerm appTerm 2465 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2483 ref appTerm 2465 ref appTerm nil cons 2531 def cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2482 ref nil cons cons 2532 def 2530 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 2531 remove cons 111 ref 71 ref 2465 ref appTerm 2483 remove appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 2485 ref cons 111 ref 2484 ref cons nil cons cons nil cons cons 2533 def 126 ref subst 2533 remove 194 ref subst 2482 remove 240 ref appTerm betaConv sym 1427 ref 1427 ref 1427 remove 2478 remove refl appThm nil 139 ref 2493 remove cons nil cons nil cons cons 527 ref subst 2534 def trans appThm 2534 ref trans appThm 2534 remove trans sym nil 2519 remove nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 2520 remove cons nil cons nil cons cons 146 ref subst nil 2521 remove nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 2522 remove cons nil cons nil cons cons 146 ref subst nil 2523 remove nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 2524 remove cons nil cons nil cons cons 146 ref subst nil 2525 remove nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 2470 remove nil cons cons nil cons nil cons cons 146 ref subst 2514 ref 126 ref subst 2514 remove 194 ref subst nil 1429 remove 153 ref 2468 remove nil cons cons nil cons cons nil cons cons 2535 def 167 ref subst 2535 remove 334 ref subst 1432 remove nil 151 ref 1430 remove cons 153 ref 2467 remove nil cons cons nil cons cons nil cons cons 2536 def 167 ref subst 2536 remove 334 ref subst 1433 remove nil 1334 remove 153 ref 2466 ref nil cons cons nil cons cons nil cons cons 334 ref subst 544 ref refl 1434 remove appThm 1435 remove appThm 2466 remove assume appThm nil 139 ref 2485 ref cons nil cons nil cons cons 146 ref subst 2465 ref assume eqMp trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 2528 remove 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 2532 remove 704 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 2485 remove cons 153 ref 2484 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp 2537 def subst nil 139 ref 2452 ref cons nil cons nil cons cons 146 ref subst 2451 ref assume eqMp 2538 def trans appThm nil 139 ref 2430 ref cons nil cons nil cons cons 2539 def 146 ref subst 2429 ref assume eqMp 2540 def appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 545 ref 2308 ref appTerm 2354 ref appTerm 2455 ref appTerm appTerm 2429 ref appTerm nil cons cons 111 ref 2387 ref 2457 ref appTerm 2541 def nil cons 2542 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil "z2" 2 ref var 2543 def 2424 ref nil cons 2544 def cons 2545 def 1440 ref 2405 ref cons 2546 def 1442 ref 2402 ref cons 2547 def "z1" 2 ref var 2548 def 2455 ref nil cons 2549 def cons 2550 def 1441 ref 2354 ref nil cons 2551 def cons 2552 def 1444 ref 2308 ref nil cons 2553 def cons 2554 def nil cons cons 2555 def cons cons cons cons nil cons cons 226 ref 216 ref nil 542 ref 2548 ref varTerm 2556 def nil cons 2557 def cons 2558 def 1453 remove cons nil cons cons 596 ref subst appThm nil 542 ref 2543 ref varTerm 2559 def nil cons 2560 def cons 2561 def 1461 remove cons nil cons cons 596 ref subst appThm appThm nil 542 ref 1078 ref 2556 ref appTerm 2562 def 2559 ref appTerm 2563 def nil cons cons 2564 def 1468 remove cons nil cons cons 596 ref subst appThm sym nil 110 ref 49 ref 47 ref 48 ref 1472 remove 1475 remove 49 ref 52 ref 54 ref 2556 ref appTerm 2565 def appTerm 2566 def 57 ref appTerm appTerm 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 1478 ref 49 ref 1481 ref appTerm 2567 def 72 ref 2556 ref appTerm 74 ref appTerm 2568 def 556 ref appTerm 2569 def appTerm appTerm appTerm 562 ref appTerm 2570 def absTerm 2571 def appTerm 2572 def absTerm 2573 def appTerm 2574 def absTerm 2575 def appTerm 2576 def absTerm 2577 def appTerm 2578 def appTerm appTerm appTerm absTerm 2579 def appTerm 2580 def appTerm 47 ref 48 ref 1493 remove 1496 remove 49 ref 52 ref 54 ref 2559 ref appTerm appTerm 2581 def 57 ref appTerm appTerm 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 1498 ref 49 ref 1501 remove appTerm 72 ref 2559 ref appTerm 2582 def 74 ref appTerm 2583 def 556 ref appTerm appTerm appTerm appTerm 562 ref appTerm absTerm 2584 def appTerm 2585 def absTerm 2586 def appTerm 2587 def absTerm 2588 def appTerm 2589 def absTerm 2590 def appTerm 2591 def appTerm appTerm appTerm absTerm 2592 def appTerm 2593 def appTerm nil cons 2594 def cons 111 ref 47 ref 48 ref 1511 remove 1512 remove 49 ref 52 ref 54 ref 2563 ref appTerm appTerm 57 ref appTerm appTerm 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 1516 ref 49 ref 1519 ref appTerm 72 ref 2563 ref appTerm 2595 def 74 ref appTerm 2596 def 556 ref appTerm 2597 def appTerm 2598 def appTerm appTerm 562 ref appTerm 2599 def absTerm 2600 def appTerm 2601 def absTerm 2602 def appTerm 2603 def absTerm 2604 def appTerm 2605 def absTerm 2606 def appTerm 2607 def appTerm appTerm appTerm absTerm 2608 def appTerm 2609 def nil cons 2610 def cons nil cons 2611 def cons nil cons cons 2612 def 126 ref subst 2612 remove 194 ref subst nil 151 ref 2580 ref nil cons 2613 def cons 153 ref 2593 ref nil cons 2614 def cons nil cons cons nil cons cons 2615 def 167 ref subst 2615 remove 334 ref subst nil 110 ref 2613 remove cons 2611 ref cons nil cons cons 175 ref subst nil 257 ref 1535 ref 71 ref 2579 ref 1536 ref appTerm 2616 def appTerm 2609 ref appTerm 2617 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1535 remove nil 139 ref 2617 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2616 ref nil cons 2618 def cons 2611 ref cons nil cons cons 2619 def 126 ref subst 2619 remove 194 ref subst 2616 ref betaConv 2616 remove assume eqMp nil 110 ref 1542 remove 1544 remove 49 ref 2566 remove 1536 remove appTerm 2620 def appTerm 2578 ref appTerm 2621 def appTerm 2622 def appTerm nil cons 2623 def cons 2611 ref cons nil cons cons 2624 def 175 ref subst proveHyp 2624 ref 126 ref subst 2624 remove 194 ref subst nil 1548 remove 153 ref 2622 remove nil cons cons nil cons cons nil cons cons 2625 def 167 ref subst 2625 remove 334 ref subst nil 1550 remove 153 ref 2621 remove nil cons cons nil cons cons nil cons cons 2626 def 167 ref subst 2626 remove 334 ref subst nil 151 ref 2620 ref nil cons cons 153 ref 2578 remove nil cons 2627 def cons nil cons cons nil cons cons 2628 def 167 ref subst 2628 remove 334 ref subst nil 110 ref 2614 remove cons 2611 ref cons nil cons cons 175 ref subst nil 257 ref 1553 ref 71 ref 2592 ref 1554 ref appTerm 2629 def appTerm 2609 ref appTerm 2630 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1553 remove nil 139 ref 2630 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2629 ref nil cons 2631 def cons 2611 ref cons nil cons cons 2632 def 126 ref subst 2632 remove 194 ref subst 2629 ref betaConv 2629 remove assume eqMp nil 110 ref 1560 remove 1562 remove 49 ref 2581 remove 1554 remove appTerm 2633 def appTerm 2591 ref appTerm 2634 def appTerm 2635 def appTerm nil cons 2636 def cons 2611 remove cons nil cons cons 2637 def 175 ref subst proveHyp 2637 ref 126 ref subst 2637 remove 194 ref subst nil 1566 remove 153 ref 2635 remove nil cons cons nil cons cons nil cons cons 2638 def 167 ref subst 2638 remove 334 ref subst nil 1568 remove 153 ref 2634 remove nil cons cons nil cons cons nil cons cons 2639 def 167 ref subst 2639 remove 334 ref subst nil 151 ref 2633 ref nil cons cons 153 ref 2591 remove nil cons 2640 def cons nil cons cons nil cons cons 2641 def 167 ref subst 2641 remove 334 ref subst 2608 ref 1572 remove appTerm betaConv sym 1587 remove 1593 remove 216 ref 217 ref nil 26 ref 2560 ref cons 29 ref 2557 remove cons nil cons 2642 def cons nil cons cons 1580 ref subst 1288 ref 2620 remove assume 2643 def appThm 2644 def 2633 remove assume appThm trans appThm 1584 remove appThm 1586 remove trans appThm 2607 ref refl appThm nil 139 ref 2607 remove nil cons cons nil cons nil cons cons 527 ref subst 2645 def trans appThm 2645 ref trans appThm 2645 remove trans sym nil 257 ref 2606 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 2605 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2604 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 2603 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2602 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 2601 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2600 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 2599 ref nil cons 2646 def cons nil cons nil cons cons 146 ref subst nil 1601 remove 111 ref 2646 ref cons nil cons 2647 def cons nil cons cons 2648 def 126 ref subst 2648 remove 194 ref subst 1627 remove nil 1632 remove 2647 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 1618 ref 1634 remove 2599 ref appTerm 2649 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1618 ref nil 139 ref 2649 remove nil cons cons nil cons nil cons cons 146 ref subst nil 1637 remove 2647 ref cons nil cons cons 2650 def 126 ref subst 2650 remove 194 ref subst 1639 remove nil 1641 remove 2647 ref cons nil cons cons 2651 def 175 ref subst proveHyp 2651 ref 126 ref subst 2651 remove 194 ref subst 36 ref "_32008" 44 ref var 2652 def 71 ref 49 ref 1513 ref 2652 remove varTerm 2653 def appTerm 76 ref appTerm appTerm 49 ref 1517 ref 2653 ref appTerm 81 ref appTerm appTerm 2595 ref 2653 remove appTerm 556 ref appTerm appTerm appTerm appTerm 562 ref appTerm absTerm 2654 def 74 ref appTerm 2655 def appTerm refl 2654 ref 1628 ref appTerm betaConv appThm 155 ref 2655 remove betaConv appThm 71 ref 1648 remove 49 ref 1649 ref appTerm 2595 ref 1628 remove appTerm 556 ref appTerm 2656 def appTerm 2657 def appTerm appTerm 562 ref appTerm 2658 def refl 2659 def appThm trans 2654 remove refl 1652 remove appThm eqMp sym 1688 ref nil 1693 remove 111 ref 2658 remove nil cons 2660 def cons nil cons 2661 def cons nil cons cons 175 ref subst proveHyp 1698 remove 2659 remove appThm sym nil 1701 remove 2661 remove cons nil cons cons 2662 def 126 ref subst 2662 remove 194 ref subst 36 ref "_32026" 3 ref var 2663 def 71 ref 49 ref 2663 remove varTerm appTerm 2657 ref appTerm appTerm 562 ref appTerm absTerm 2664 def 1647 remove appTerm 2665 def appTerm refl 2664 ref 1692 ref appTerm betaConv appThm 155 ref 2665 remove betaConv appThm 71 ref 1706 ref 2657 remove appTerm appTerm 562 ref appTerm 2666 def refl 2667 def appThm trans 2664 remove refl 1709 remove appThm eqMp sym 1724 remove nil 1726 remove 111 ref 2666 remove nil cons 2668 def cons nil cons 2669 def cons nil cons cons 175 ref subst proveHyp 1731 remove 2667 remove appThm sym nil 1734 remove 2669 remove cons nil cons cons 2670 def 126 ref subst 2670 remove 194 ref subst 36 ref "_32028" 3 ref var 2671 def 71 ref 1706 ref 49 ref 2671 remove varTerm appTerm 2656 ref appTerm appTerm appTerm 562 ref appTerm absTerm 2672 def 1649 remove appTerm 2673 def appTerm refl 2672 ref 1725 ref appTerm betaConv appThm 155 ref 2673 remove betaConv appThm 71 ref 1706 ref 49 ref 1725 remove appTerm 2674 def 2656 ref appTerm appTerm appTerm 562 ref appTerm 2675 def refl 2676 def appThm trans 2672 remove refl 1739 remove appThm eqMp sym 227 ref 36 ref 2595 ref 456 ref 2565 ref appTerm 2677 def 1619 ref appTerm appTerm 2678 def 233 ref appTerm appTerm 2582 remove 1619 ref appTerm 2679 def 233 ref appTerm appTerm absTerm 2680 def 556 ref appTerm 2681 def betaConv 66 ref 68 ref 227 ref 36 ref 2595 ref 2677 remove 74 ref appTerm 2682 def appTerm 233 ref appTerm appTerm 2583 remove 233 ref appTerm appTerm absTerm appTerm absTerm 2683 def 1619 ref appTerm 2684 def betaConv 26 ref 65 ref 66 ref 68 ref 227 ref 36 ref 72 ref 2562 remove 41 ref appTerm appTerm 2685 def 2682 remove appTerm 233 ref appTerm appTerm 1657 ref appTerm absTerm appTerm absTerm appTerm absTerm 2686 def 2559 ref appTerm 2687 def betaConv 1667 remove 2556 ref appTerm 2688 def betaConv 1683 ref nil 1685 remove 111 ref 2688 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1686 remove 2642 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 2686 ref appTerm nil cons cons 111 ref 2687 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2686 remove nil cons cons 29 ref 2560 remove cons nil cons 2689 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 2683 ref appTerm nil cons cons 111 ref 2684 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2683 remove nil cons cons 1723 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 2680 ref appTerm nil cons cons 111 ref 2681 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2680 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 36 ref 2678 remove 556 ref appTerm appTerm 2679 remove 556 ref appTerm 2690 def appTerm nil cons cons 111 ref 2675 remove nil cons 2691 def cons nil cons 2692 def cons nil cons cons 175 ref subst proveHyp 226 ref 155 ref 2595 remove refl 2644 remove 1696 ref appThm appThm 556 ref refl appThm appThm 2690 ref refl appThm appThm 2676 remove appThm sym nil 110 ref 36 ref 2656 ref appTerm 2690 ref appTerm 2693 def nil cons 2694 def cons 2692 remove cons nil cons cons 2695 def 126 ref subst 2695 remove 194 ref subst 36 ref "_32030" 3 ref var 2696 def 71 ref 1706 ref 2674 ref 2696 remove varTerm appTerm appTerm appTerm 562 ref appTerm absTerm 2697 def 2656 remove appTerm 2698 def appTerm refl 2697 ref 2690 ref appTerm betaConv appThm 155 ref 2698 remove betaConv appThm 71 ref 1706 ref 2674 remove 2690 remove appTerm appTerm appTerm 562 ref appTerm refl appThm trans 2697 remove refl 2693 remove assume appThm eqMp sym 1740 remove 2584 ref 556 ref appTerm 2699 def betaConv 2586 ref 81 ref appTerm 2700 def betaConv 2588 ref 76 ref appTerm 2701 def betaConv 2590 ref 74 ref appTerm 2702 def betaConv nil 110 ref 2640 remove cons 111 ref 2702 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 2590 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2589 remove nil cons cons 111 ref 2701 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2588 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2587 remove nil cons cons 111 ref 2700 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2586 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2585 remove nil cons cons 111 ref 2699 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2584 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp nil 151 ref 2694 remove cons 153 ref 2691 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1744 remove 153 ref 2668 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1745 remove 153 ref 2660 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1746 remove 153 ref 2646 ref cons nil cons 2703 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 1748 remove 2703 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 1749 remove 2599 ref appTerm absTerm appTerm nil cons cons 111 ref 1750 remove 2599 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 1751 remove 2703 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 1752 remove 2703 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 1754 remove 2647 ref cons nil cons cons 2704 def 126 ref subst 2704 remove 194 ref subst 1834 ref nil 1836 ref 2647 ref cons nil cons cons 175 ref subst proveHyp 1840 remove 2599 remove refl appThm sym nil 1841 remove 2647 remove cons nil cons cons 2705 def 126 ref subst 2705 remove 194 ref subst 36 ref "_32002" 3 ref var 2706 def 71 ref 49 ref 2706 remove varTerm appTerm 2598 ref appTerm appTerm 562 ref appTerm absTerm 2707 def 1515 ref appTerm 2708 def appTerm refl 2707 ref 1477 ref appTerm betaConv appThm 155 ref 2708 remove betaConv appThm 71 ref 1478 ref 2598 remove appTerm appTerm 562 ref appTerm 2709 def refl 2710 def appThm trans 2707 remove refl 1848 remove appThm eqMp sym 1862 remove nil 1864 remove 111 ref 2709 remove nil cons 2711 def cons nil cons 2712 def cons nil cons cons 175 ref subst proveHyp 1868 remove 2710 remove appThm sym nil 1869 remove 2712 remove cons nil cons cons 2713 def 126 ref subst 2713 remove 194 ref subst 36 ref "_32004" 3 ref var 2714 def 71 ref 1478 ref 49 ref 2714 remove varTerm appTerm 2597 ref appTerm appTerm appTerm 562 ref appTerm absTerm 2715 def 1519 remove appTerm 2716 def appTerm refl 2715 ref 1481 remove appTerm betaConv appThm 155 ref 2716 remove betaConv appThm 71 ref 1478 ref 2567 ref 2597 ref appTerm appTerm appTerm 562 ref appTerm 2717 def refl 2718 def appThm trans 2715 remove refl 1874 remove appThm eqMp sym 227 ref 71 ref 1597 ref 2565 remove appTerm appTerm 2719 def 36 ref 2596 remove 233 ref appTerm appTerm 2568 remove 233 ref appTerm 2720 def appTerm appTerm absTerm 2721 def 556 ref appTerm 2722 def betaConv 66 ref 68 ref 2721 ref appTerm 2723 def absTerm 2724 def 74 ref appTerm 2725 def betaConv 26 ref 65 ref 66 ref 68 ref 227 ref 2719 ref 36 ref 2685 remove 74 ref appTerm 233 ref appTerm appTerm 2720 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 2726 def 2559 ref appTerm 2727 def betaConv 1775 ref 2556 ref appTerm 2728 def betaConv 1831 ref nil 1833 ref 111 ref 2728 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1777 ref 2642 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 2726 ref appTerm nil cons cons 111 ref 2727 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2726 remove nil cons cons 2689 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 2724 ref appTerm nil cons cons 111 ref 2725 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2724 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2723 remove nil cons cons 111 ref 2722 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2721 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2719 remove 36 ref 2597 ref appTerm 2569 ref appTerm 2729 def appTerm nil cons cons 111 ref 2717 remove nil cons 2730 def cons nil cons 2731 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 1837 remove 2643 remove appThm 1838 remove trans appThm 2729 ref refl appThm nil 139 ref 2729 ref nil cons 2732 def cons nil cons nil cons cons 840 ref subst trans appThm 2718 remove appThm sym nil 110 ref 2732 ref cons 2731 remove cons nil cons cons 2733 def 126 ref subst 2733 remove 194 ref subst 36 ref "_32006" 3 ref var 2734 def 71 ref 1478 ref 2567 remove 2734 remove varTerm appTerm appTerm appTerm 562 ref appTerm absTerm 2735 def 2597 remove appTerm 2736 def appTerm refl 2735 ref 2569 remove appTerm betaConv appThm 155 ref 2736 remove betaConv appThm 2570 remove refl appThm trans 2735 remove refl 2729 remove assume appThm eqMp sym 2571 ref 556 ref appTerm 2737 def betaConv 2573 ref 81 ref appTerm 2738 def betaConv 2575 ref 76 ref appTerm 2739 def betaConv 2577 ref 74 ref appTerm 2740 def betaConv nil 110 ref 2627 remove cons 111 ref 2740 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 2577 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2576 remove nil cons cons 111 ref 2739 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2575 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2574 remove nil cons cons 111 ref 2738 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2573 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2572 remove nil cons cons 111 ref 2737 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2571 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2732 remove cons 153 ref 2730 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1878 remove 153 ref 2711 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1879 remove 2703 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 1880 ref 2703 remove cons nil cons cons 167 ref subst deductAntisym eqMp 1887 remove nil 1880 remove 1888 remove 1335 ref 2646 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 2608 remove nil cons cons 1585 remove cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 2636 remove cons 153 ref 2610 remove cons nil cons 2741 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2631 remove cons 2741 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 2592 ref 797 ref appTerm appTerm 2609 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2593 remove appTerm 2609 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2592 remove nil cons cons 2741 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 2623 remove cons 2741 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2618 remove cons 2741 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 2579 ref 797 ref appTerm appTerm 2609 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2580 remove appTerm 2609 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2579 remove nil cons cons 2741 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 2594 remove cons 2741 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 2742 def subst 2743 def eqMp eqMp 207 ref 208 ref 2389 remove nil cons cons 29 ref 2457 ref nil cons cons nil cons 2744 def cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 2452 ref cons 2745 def 153 ref 2413 remove cons nil cons 2746 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2449 remove cons 2746 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 2443 ref 627 ref appTerm appTerm 2390 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2444 remove appTerm 2390 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2443 remove nil cons cons 2746 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 2430 ref cons 2746 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2427 remove cons 2746 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 2411 ref 39 ref appTerm appTerm 2390 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2412 remove appTerm 2390 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2411 remove nil cons cons 2746 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 2375 remove cons 2747 def 153 ref 2350 remove cons nil cons 2748 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2365 remove cons 2749 def 2748 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 2357 ref 39 ref appTerm appTerm 2750 def 2340 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2358 remove appTerm 2751 def 2340 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2357 remove nil cons cons 2752 def 2748 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 2348 remove cons 2753 def 2748 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 2298 ref 627 ref appTerm appTerm 2754 def 2340 remove appTerm absTerm appTerm nil cons cons 111 ref 2341 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2298 remove nil cons cons 2755 def 2748 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 2327 remove cons 2756 def 153 ref 2304 remove cons nil cons 2757 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 2318 remove cons 2758 def 2757 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 2310 ref 1893 ref appTerm appTerm 2759 def 2300 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2311 remove appTerm 2760 def 2300 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2310 remove nil cons cons 2761 def 2757 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 2302 remove cons 2762 def 2757 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 1894 ref 2300 ref appTerm absTerm appTerm nil cons cons 111 ref 1895 ref 2300 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 1896 ref 2757 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 2283 remove cons 153 ref 2285 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 2271 remove appTerm 2282 remove appTerm nil cons cons 111 ref 65 ref 2215 ref appTerm nil cons 2763 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 2215 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 2217 ref appThm 2215 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 2217 remove absThm appThm appThm nil 1024 ref 2215 remove nil cons 2764 def cons nil cons nil cons cons 1904 ref subst eqMp eqMp nil 110 ref 2763 remove cons 111 ref 2216 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2764 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 2284 remove 111 ref 2213 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2401 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2211 remove nil cons cons 111 ref 2210 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2209 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp proveHyp eqMp nil 151 ref 2184 remove cons 2765 def 153 ref 2186 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 2174 remove cons 153 ref 2182 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 2766 def subst eqMp eqMp 2767 def nil 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 901 ref 547 ref appTerm 2768 def absTerm 2769 def appTerm 2770 def appTerm 2771 def absTerm 2772 def appTerm 2773 def absTerm 2774 def appTerm 2775 def thm 624 ref 29 ref 624 ref 26 ref 2161 ref 997 ref 542 ref 609 ref 625 ref appThm 2776 def 998 ref appThm 2163 ref appThm 2777 def absThm appThm appThm absThm appThm absThm appThm sym nil 68 ref 263 ref 68 ref 1001 ref 1000 ref 2165 ref 607 ref 627 ref appTerm 2778 def 1002 ref appTerm 2168 ref appTerm 2779 def absTerm appTerm absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 68 ref 70 ref 1000 ref 552 ref 607 ref 76 ref appTerm 2780 def 81 ref appTerm 556 ref appTerm 2781 def absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 608 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 611 ref 2766 ref subst eqMp eqMp 2782 def nil 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 606 ref 39 ref appTerm 2783 def 41 ref appTerm 2784 def 547 ref appTerm 2785 def absTerm appTerm appTerm absTerm appTerm absTerm 2786 def appTerm 2787 def thm 624 ref 29 ref 624 ref 26 ref 2161 ref 997 ref 542 ref 618 ref 625 ref appThm 2788 def 998 ref appThm 2163 ref appThm 2789 def absThm appThm appThm absThm appThm absThm appThm sym nil 68 ref 263 ref 68 ref 1001 ref 1000 ref 2165 ref 616 ref 627 ref appTerm 2790 def 1002 ref appTerm 2168 ref appTerm 2791 def absTerm appTerm absTerm appTerm absTerm appTerm axiom nil 110 ref 68 ref 69 ref 68 ref 70 ref 1000 ref 552 ref 616 ref 76 ref appTerm 2792 def 81 ref appTerm 556 ref appTerm 2793 def absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 617 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 620 ref 2766 ref subst eqMp eqMp 2794 def nil 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 615 ref 39 ref appTerm 2795 def 41 ref appTerm 2796 def 547 ref appTerm 2797 def absTerm appTerm appTerm absTerm appTerm absTerm 2798 def appTerm 2799 def thm nil 178 ref 22 ref 68 ref 227 ref 68 ref 263 ref 36 ref 1439 ref appTerm 1147 ref appTerm 2800 def absTerm 2801 def appTerm 2802 def absTerm 2803 def appTerm 2804 def absTerm 2805 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 2804 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2803 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 2802 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2801 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 2800 ref nil cons cons nil cons nil cons cons 146 ref subst 1438 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 2806 def nil 108 ref 2805 remove appTerm thm nil 592 ref 539 ref 71 ref 68 ref 227 ref 2464 remove 233 ref appTerm 233 ref appTerm 2807 def absTerm 2808 def appTerm 2809 def appTerm 99 ref 29 ref 546 ref 39 ref appTerm 39 ref appTerm 2810 def absTerm 2811 def appTerm 2812 def appTerm 2813 def absTerm 2814 def nil cons cons nil cons nil cons cons 1959 remove 642 ref subst 2815 def subst 539 ref nil 139 ref 2813 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2809 remove nil cons 2816 def cons 2817 def 111 ref 2812 remove nil cons 2818 def cons nil cons cons nil cons cons 2819 def 126 ref subst 2819 remove 194 ref subst nil 208 ref 2811 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 2810 remove nil cons cons nil cons nil cons cons 146 ref subst nil 542 ref 209 ref cons 645 remove cons nil cons cons 596 ref subst sym 48 ref 59 ref 59 ref 59 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 78 ref 49 ref 646 remove appTerm 75 ref 556 ref appTerm 2820 def appTerm 2821 def appTerm 2822 def appTerm 562 ref appTerm 2823 def absTerm 2824 def appTerm 2825 def absTerm 2826 def appTerm 2827 def absTerm 2828 def appTerm 2829 def absTerm 2830 def appTerm 2831 def appTerm appTerm appTerm absTerm 2832 def 55 ref appTerm betaConv sym 660 ref 660 ref 660 ref 2831 ref refl appThm nil 139 ref 2831 remove nil cons cons nil cons nil cons cons 527 ref subst 2833 def trans appThm 2833 ref trans appThm 2833 remove trans sym nil 257 ref 2830 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 2829 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2828 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 2827 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2826 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 2825 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2824 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 2823 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2822 remove nil cons 2834 def cons 2500 ref cons nil cons cons 2835 def 126 ref subst 2835 remove 194 ref subst nil 668 ref 153 ref 2821 remove nil cons cons nil cons cons nil cons cons 2836 def 167 ref subst 2836 remove 334 ref subst nil 151 ref 669 remove cons 153 ref 2820 ref nil cons 2837 def cons nil cons cons nil cons cons 2838 def 167 ref subst 2838 remove 334 ref subst 829 remove nil 831 remove 2500 ref cons nil cons cons 175 ref subst proveHyp 841 remove 599 ref appThm sym nil 842 remove 2500 ref cons nil cons cons 2839 def 126 ref subst 2839 remove 194 ref subst 36 ref "_32100" 11 ref var 2840 def 561 ref 2840 remove varTerm appTerm 556 ref appTerm absTerm 2841 def 81 ref appTerm 2842 def appTerm refl 2841 ref 76 ref appTerm betaConv appThm 155 ref 2842 remove betaConv appThm 561 remove 76 ref appTerm 2843 def 556 ref appTerm 2844 def refl 2845 def appThm trans 2841 remove refl 847 remove sym appThm eqMp sym 674 remove 556 ref appTerm 2846 def betaConv 825 remove nil 826 remove 111 ref 2846 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 827 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 78 ref 2820 ref appTerm appTerm 468 remove 556 ref appTerm 2847 def appTerm nil cons cons 111 ref 2844 remove nil cons 2848 def cons nil cons 2849 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 834 ref nil 139 ref 2837 remove cons nil cons nil cons cons 146 ref subst 2820 remove assume eqMp appThm 528 ref trans appThm 2847 ref refl appThm nil 139 ref 2847 ref nil cons 2850 def cons nil cons nil cons cons 840 ref subst trans appThm 2845 remove appThm sym nil 110 ref 2850 ref cons 2849 remove cons nil cons cons 2851 def 126 ref subst 2851 remove 194 ref subst 36 ref "_32102" 11 ref var 2852 def 2843 ref 2852 remove varTerm appTerm absTerm 2853 def 556 ref appTerm 2854 def appTerm refl 2853 ref 76 ref appTerm betaConv appThm 155 ref 2854 remove betaConv appThm 2843 remove 76 ref appTerm refl appThm trans 2853 remove refl 2847 remove assume sym appThm eqMp sym 231 ref nil 139 ref 2807 remove nil cons cons nil cons nil cons cons 146 ref subst 2808 ref 233 ref appTerm 2855 def betaConv nil 2817 remove 111 ref 2855 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 2808 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst sym 145 ref eqMp eqMp eqMp nil 151 ref 2850 remove cons 153 ref 2848 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 849 remove 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 2834 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 2832 remove nil cons cons 658 ref cons nil cons cons 724 ref subst proveHyp eqMp eqMp absThm eqMp eqMp nil 151 ref 2816 remove cons 153 ref 2818 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 588 ref 2814 remove appTerm thm 624 ref 29 ref 624 ref 26 ref 155 ref 224 ref "t" 44 ref var 2856 def 71 ref 1906 ref appTerm 2857 def refl 2858 def 2856 ref 0 ref 1 ref "Data.List.list" typeOp 2859 def 4 ref opType 2860 def 1 ref 2860 ref 4 ref cons opType 2861 def nil cons cons opType constTerm 2862 def "Hardware.Bus.signal" const 1 ref 2 ref 1 ref 44 ref 2860 ref nil cons 2863 def cons opType nil cons cons opType constTerm 2864 def 41 ref appTerm 2865 def 2856 ref varTerm 2866 def appTerm 2867 def appTerm 2868 def 2864 ref 39 ref appTerm 2869 def 2866 ref appTerm 2870 def appTerm 2871 def absTerm 2872 def 2866 ref appTerm betaConv 2873 def appThm absThm appThm appThm 2858 remove 224 ref 2856 ref 2873 remove absThm appThm appThm appThm nil "q" 45 ref var 2874 def 2872 ref nil cons cons 110 ref 1906 ref nil cons cons nil cons cons nil cons cons 391 ref "q" 182 ref var 2875 def 36 ref 184 ref 189 ref 113 ref 2875 remove varTerm 2876 def 190 ref appTerm 2877 def appTerm absTerm appTerm appTerm 113 remove 184 ref 189 ref 2877 remove absTerm appTerm appTerm appTerm absTerm 2878 def 2876 ref appTerm 2879 def betaConv 110 ref 1030 ref 2878 ref appTerm 2880 def absTerm 2881 def 112 ref appTerm 2882 def betaConv nil 343 ref 2881 ref appTerm 2883 def axiom nil 110 ref 2883 remove nil cons cons 111 ref 2882 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2881 remove nil cons cons 2246 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2880 remove nil cons cons 111 ref 2879 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 1032 ref 1033 ref 2878 remove nil cons cons 1034 remove 2876 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp subst 2884 def subst eqMp 226 ref 999 ref appThm 2885 def 65 ref 2872 remove appTerm 2886 def refl appThm trans absThm appThm absThm appThm sym 216 ref 224 ref 2856 ref nil "x" 2860 ref var 2887 def 2864 ref 20 ref appTerm 2888 def 2866 ref appTerm 2889 def nil cons 2890 def cons nil cons nil cons cons "A" 2863 ref cons nil cons 2891 def 384 ref cons 2892 def 488 ref subst 2893 def subst absThm appThm 392 ref trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 71 ref 49 ref 17 ref 2292 ref appTerm 2344 ref appTerm 2894 def appTerm 2895 def 49 ref 18 ref 2314 ref appTerm 2361 ref appTerm 2896 def appTerm 2897 def 65 ref 2856 ref 2862 ref 2864 ref 2361 ref appTerm 2898 def 2866 ref appTerm 2899 def appTerm 2864 ref 2314 ref appTerm 2866 ref appTerm 2900 def appTerm 2901 def absTerm 2902 def appTerm 2903 def appTerm 2904 def appTerm 2905 def appTerm 2906 def refl 224 ref 2856 ref 2862 ref refl 2907 def nil 2406 remove 227 ref 2439 ref cons nil cons 2908 def cons 2909 def nil cons cons 2856 ref 2862 ref 2864 ref 1218 ref appTerm 2866 ref appTerm appTerm "Data.List.::" const 2910 def 1 ref 3 ref 1 ref 2860 ref 2863 remove cons opType nil cons 2911 def cons opType constTerm 2912 def "Hardware.signal" const 1 ref 11 ref 50 remove cons opType constTerm 2913 def 233 ref appTerm 2866 ref appTerm 2914 def appTerm 2915 def 2870 ref appTerm appTerm absTerm 2916 def 2866 ref appTerm 2917 def betaConv 29 ref 65 ref 2916 ref appTerm 2918 def absTerm 2919 def 39 ref appTerm 2920 def betaConv 227 ref 99 ref 2919 ref appTerm 2921 def absTerm 2922 def 233 ref appTerm 2923 def betaConv nil 68 ref 2922 ref appTerm 2924 def axiom nil 110 ref 2924 remove nil cons cons 111 ref 2923 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 2922 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2921 remove nil cons cons 111 ref 2920 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2919 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2918 remove nil cons cons 111 ref 2917 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2916 remove nil cons cons 258 ref 2866 ref nil cons cons nil cons 2925 def cons nil cons cons 205 ref subst eqMp eqMp 2926 def subst 2927 def appThm nil 2403 remove 2461 ref cons 2928 def nil cons cons 2926 ref subst 2929 def appThm nil "t2" 2860 ref var 2930 def 2900 ref nil cons 2931 def cons 2932 def "h2" 3 ref var 2933 def 2913 ref 2292 ref appTerm 2866 ref appTerm 2934 def nil cons 2935 def cons 2936 def "t1" 2860 ref var 2937 def 2899 ref nil cons 2938 def cons "h1" 3 ref var 2939 def 2913 ref 2344 ref appTerm 2940 def 2866 ref appTerm 2941 def nil cons 2942 def cons nil cons cons cons cons nil cons cons 715 ref "t2" 2859 remove 426 ref opType 2943 def var 2944 def 36 ref 0 remove 1 ref 2943 ref 1 ref 2943 ref 4 ref cons opType 2945 def nil cons cons opType constTerm 2946 def 2910 remove 1 ref 181 ref 1 ref 2943 ref 2943 ref nil cons 2947 def cons opType nil cons cons opType constTerm 2948 def "h1" 181 ref var 2949 def varTerm 2950 def appTerm "t1" 2943 ref var 2951 def varTerm 2952 def appTerm appTerm 2948 remove "h2" 181 ref var 2953 def varTerm 2954 def appTerm 2944 remove varTerm 2955 def appTerm appTerm appTerm 49 ref 407 ref 2950 ref appTerm 2954 ref appTerm appTerm 2946 remove 2952 ref appTerm 2955 ref appTerm appTerm appTerm absTerm 2956 def 2955 ref appTerm 2957 def betaConv 2951 remove 64 ref 1 ref 2945 ref 4 ref cons opType constTerm 2958 def 2956 ref appTerm 2959 def absTerm 2960 def 2952 ref appTerm 2961 def betaConv 2953 remove 2958 remove 2960 ref appTerm 2962 def absTerm 2963 def 2954 ref appTerm 2964 def betaConv 2949 remove 184 ref 2963 ref appTerm 2965 def absTerm 2966 def 2950 ref appTerm 2967 def betaConv nil 184 ref 2966 ref appTerm 2968 def axiom nil 110 ref 2968 remove nil cons cons 111 ref 2967 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 2966 remove nil cons cons 189 ref 2950 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2965 remove nil cons cons 111 ref 2964 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 2963 remove nil cons cons 189 ref 2954 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2962 remove nil cons cons 111 ref 2961 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp "A" 2947 remove cons nil cons 2969 def "P" 2945 remove var 2970 def 2960 remove nil cons cons "x" 2943 remove var 2971 def 2952 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2959 remove nil cons cons 111 ref 2957 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 2969 remove 2970 remove 2956 remove nil cons cons 2971 remove 2955 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp subst 2972 def subst trans absThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm nil 139 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 2906 ref 65 ref 2856 ref 49 ref 36 ref 2941 ref appTerm 2934 ref appTerm 2973 def appTerm 2974 def 2901 remove appTerm 2975 def absTerm 2976 def appTerm 2977 def appTerm 2978 def absTerm 2979 def appTerm 2980 def absTerm 2981 def appTerm 2982 def absTerm 2983 def appTerm 2984 def absTerm 2985 def appTerm nil cons cons nil cons nil cons cons 527 ref subst trans sym nil 262 ref 2985 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 2984 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2983 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 2982 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2981 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 2980 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2979 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 2978 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2905 remove nil cons 2986 def cons 111 ref 2977 remove nil cons 2987 def cons nil cons cons nil cons cons 2988 def 126 ref subst 2988 remove 194 ref subst nil 151 ref 2894 remove nil cons 2989 def cons 153 ref 2904 remove nil cons cons nil cons cons nil cons cons 2990 def 167 ref subst 2990 remove 334 ref subst nil 151 ref 2896 remove nil cons cons 153 ref 2903 remove nil cons 2991 def cons nil cons cons nil cons cons 334 ref subst nil 257 ref 2976 remove nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 2975 remove nil cons cons nil cons nil cons cons 146 ref subst 2974 remove refl 2907 ref 2902 ref 2866 ref appTerm 2992 def betaConv nil 110 ref 2991 remove cons 111 ref 2992 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 2902 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp appThm 2900 ref refl 2993 def appThm nil 2887 ref 2931 ref cons nil cons nil cons cons 2893 ref subst 2994 def trans appThm nil 139 ref 2973 remove nil cons 2995 def cons nil cons nil cons cons 397 ref subst trans sym nil 110 ref 2989 remove cons 111 ref 2995 remove cons nil cons cons nil cons cons 175 ref subst nil 2437 ref 1001 ref 2439 ref cons 2996 def nil cons cons nil cons cons 2997 def 2856 ref 71 ref 1003 remove appTerm 2998 def 36 ref 2913 ref 1002 ref appTerm 2999 def 2866 ref appTerm 3000 def appTerm 2913 ref 627 ref appTerm 2866 ref appTerm 3001 def appTerm appTerm absTerm 3002 def 2866 ref appTerm 3003 def betaConv 263 ref 65 ref 3002 ref appTerm 3004 def absTerm 3005 def 627 ref appTerm 3006 def betaConv 1001 ref 68 ref 3005 ref appTerm 3007 def absTerm 3008 def 1002 ref appTerm 3009 def betaConv nil 68 ref 263 ref 68 ref 1001 ref 3004 ref absTerm 3010 def appTerm 3011 def absTerm 3012 def appTerm 3013 def axiom nil 110 ref 3013 remove nil cons 3014 def cons 3015 def 111 ref 68 ref 3008 ref appTerm nil cons 3016 def cons nil cons cons nil cons cons 3017 def 175 ref subst proveHyp 3017 ref 126 ref subst 3017 remove 194 ref subst nil 262 ref 3008 remove nil cons cons 3018 def nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 3007 remove nil cons 3019 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3005 remove nil cons cons 3020 def nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 3004 remove nil cons 3021 def cons nil cons nil cons cons 146 ref subst 3010 ref 1002 ref appTerm 3022 def betaConv 3012 ref 627 ref appTerm 3023 def betaConv nil 3015 remove 111 ref 3023 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 3012 remove nil cons cons 263 ref 1165 ref cons nil cons 3024 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3011 remove nil cons cons 111 ref 3022 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 3010 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 3014 remove cons 153 ref 3016 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3016 remove cons 111 ref 3009 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3018 remove 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3019 remove cons 111 ref 3006 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3020 remove 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3021 remove cons 111 ref 3003 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3002 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 2986 remove cons 153 ref 2987 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 65 ref 2856 ref 2862 ref 2889 ref appTerm 3025 def 2889 ref appTerm 3026 def absTerm appTerm appTerm 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 2906 remove 65 ref 2856 ref 2862 ref 2864 ref 2369 ref appTerm 3027 def 2866 ref appTerm 3028 def appTerm 2864 ref 2322 ref appTerm 2866 ref appTerm 3029 def appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 71 ref 1005 ref appTerm 3030 def 2886 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 29 ref 26 ref 2886 remove absTerm 3031 def absTerm 3032 def 20 ref appTerm betaConv 21 ref appThm 26 ref 65 ref 2856 ref 2868 ref 2889 ref appTerm absTerm appTerm absTerm 20 ref appTerm betaConv trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 226 ref 2895 ref refl 3033 def 2897 remove refl 3032 ref 2314 ref appTerm betaConv 2361 ref refl 3034 def appThm 26 ref 65 ref 2856 ref 2868 ref 2900 ref appTerm absTerm appTerm absTerm 2361 ref appTerm betaConv trans appThm appThm appThm 3032 ref 2322 ref appTerm betaConv 2369 ref refl 3035 def appThm 26 ref 65 ref 2856 ref 2868 remove 3029 ref appTerm absTerm appTerm absTerm 2369 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 624 ref 29 ref 624 ref 26 ref 3030 remove refl 3032 ref 39 ref appTerm betaConv 998 ref appThm 3031 remove 41 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm nil "p" 7 remove var 3036 def 3032 remove nil cons cons 24 remove cons nil cons cons nil 110 ref 49 ref 3036 ref varTerm 3037 def 20 ref appTerm 20 ref appTerm 3038 def appTerm 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 71 ref 49 ref 37 ref 2292 ref appTerm 2344 ref appTerm 3039 def appTerm 3040 def 49 ref 38 ref 2314 ref appTerm 2361 ref appTerm 3041 def appTerm 3037 ref 2314 ref appTerm 2361 ref appTerm 3042 def appTerm appTerm 3043 def appTerm 3037 ref 2322 ref appTerm 3044 def 2369 ref appTerm 3045 def appTerm absTerm 3046 def appTerm 3047 def absTerm 3048 def appTerm 3049 def absTerm 3050 def appTerm 3051 def absTerm 3052 def appTerm 3053 def appTerm 3054 def nil cons 3055 def cons 111 ref 99 ref 29 ref 99 ref 26 ref 71 ref 42 ref appTerm 3056 def 3037 ref 39 ref appTerm 41 ref appTerm 3057 def appTerm 3058 def absTerm 3059 def appTerm 3060 def absTerm 3061 def appTerm 3062 def nil cons 3063 def cons nil cons cons nil cons cons 3064 def 126 ref subst 3064 remove 194 ref subst nil 151 ref 3038 ref nil cons 3065 def cons 153 ref 3053 remove nil cons 3066 def cons nil cons cons nil cons cons 3067 def 167 ref subst 3067 remove 334 ref subst nil 208 ref 3061 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3060 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 3059 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3058 ref nil cons 3068 def cons nil cons nil cons cons 146 ref subst nil 110 ref 42 ref nil cons 3069 def cons 111 ref 3057 ref nil cons 3070 def cons nil cons 3071 def cons nil cons cons 3072 def 126 ref subst 3072 ref 194 ref subst 226 ref 214 ref appThm 2198 ref refl 3073 def appThm sym nil 257 ref 48 ref 71 ref 94 ref 57 ref appTerm 3074 def appTerm 3075 def 2198 ref appTerm 3076 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3076 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3074 ref nil cons 3077 def cons 3078 def 111 ref 2199 ref cons nil cons 3079 def cons nil cons cons 3080 def 126 ref subst 3080 remove 194 ref subst 3074 ref betaConv 3074 remove assume eqMp 3081 def nil 110 ref 93 remove nil cons 3082 def cons 3083 def 3079 ref cons nil cons cons 3084 def 175 ref subst proveHyp 3084 ref 126 ref subst 3084 remove 194 ref subst nil 151 ref 58 ref nil cons 3085 def cons 3086 def 153 ref 92 remove nil cons cons nil cons cons nil cons cons 3087 def 167 ref subst 3088 def 3087 remove 334 ref subst 3089 def nil 151 ref 1107 ref cons 3090 def 153 ref 91 ref nil cons 3091 def cons nil cons 3092 def cons nil cons cons 3093 def 167 ref subst 3094 def 2202 ref sym 216 ref 217 ref 58 ref assume 3095 def appThm 3096 def 222 ref appThm 2416 ref trans 3097 def appThm 3098 def 217 ref 1124 remove appThm 3099 def 222 ref appThm 2416 ref trans 3100 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 2196 ref 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 3082 remove cons 3101 def 153 ref 2199 ref cons nil cons 3102 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3077 remove cons 3103 def 3102 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 94 ref 797 ref appTerm appTerm 3104 def 2198 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 95 ref appTerm 3105 def 2198 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 94 ref nil cons cons 3106 def 3102 ref cons nil cons cons 811 ref subst eqMp eqMp 3107 def nil 110 ref 3056 remove 2198 ref appTerm 3108 def nil cons 3109 def cons 3110 def 3071 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 3069 ref cons nil cons nil cons cons 146 ref subst 42 ref assume eqMp appThm 3073 ref appThm nil 139 ref 2199 ref cons nil cons nil cons cons 3111 def 840 ref subst 3112 def trans appThm 3113 def 3057 ref refl 3114 def appThm 155 ref 2203 remove 3114 ref appThm appThm 224 ref 48 ref 2205 remove 3114 ref appThm absThm appThm appThm nil 2206 remove 3071 ref cons nil cons cons 1037 ref subst eqMp trans sym nil 257 ref 48 ref 2207 ref 3057 ref appTerm 3115 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3115 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2189 ref nil cons 3116 def cons 3117 def 3071 ref cons nil cons cons 3118 def 126 ref subst 3118 remove 194 ref subst 3072 remove 175 ref subst nil 3117 ref 111 ref 3068 remove cons nil cons cons nil cons cons 175 ref subst nil 1340 ref 3070 ref cons 3119 def 111 ref 3069 ref cons 3120 def 3117 ref nil cons cons cons nil cons cons 2239 ref 1341 ref appTerm 3121 def betaConv 2241 ref 114 remove appTerm 3122 def betaConv 2243 ref 112 remove appTerm 3123 def betaConv 2245 remove nil 110 ref 2244 remove nil cons cons 111 ref 3123 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2243 remove nil cons cons 2246 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2242 remove nil cons cons 111 ref 3122 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2241 remove nil cons cons 1036 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2240 remove nil cons cons 111 ref 3121 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 2239 remove nil cons cons 2248 remove cons nil cons cons 205 ref subst eqMp eqMp 3124 def subst 226 ref nil "t3" 3 ref var 3125 def 3069 ref cons "t2" 3 ref var 3126 def 1107 ref cons "t1" 3 ref var 3127 def 3085 ref cons nil cons 3128 def cons cons nil cons cons 3125 ref 36 ref 49 ref 49 ref 3127 ref varTerm 3129 def appTerm 3130 def 3126 ref varTerm 3131 def appTerm appTerm 3125 ref varTerm 3132 def appTerm 3133 def appTerm 3130 remove 49 ref 3131 ref appTerm 3132 ref appTerm appTerm 3134 def appTerm 3135 def absTerm 3136 def 3132 ref appTerm 3137 def betaConv 3126 ref 343 ref 3136 ref appTerm 3138 def absTerm 3139 def 3131 ref appTerm 3140 def betaConv 3127 ref 343 ref 3139 ref appTerm 3141 def absTerm 3142 def 3129 ref appTerm 3143 def betaConv nil 343 ref 3142 ref appTerm 3144 def axiom 3145 def nil 110 ref 3144 remove nil cons cons 111 ref 3143 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3142 remove nil cons cons 347 ref 3129 ref nil cons cons nil cons 3146 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3141 remove nil cons cons 111 ref 3140 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3139 remove nil cons cons 347 ref 3131 ref nil cons cons nil cons 3147 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3138 remove nil cons cons 111 ref 3137 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3136 remove nil cons cons 347 ref 3132 ref nil cons cons nil cons 3148 def cons nil cons cons 205 ref subst eqMp eqMp 3149 def subst appThm 3114 ref appThm trans sym 26 ref 71 ref 59 ref 63 ref 42 ref appTerm appTerm appTerm 3057 ref appTerm absTerm 3150 def 41 ref appTerm 3151 def betaConv 3152 def 29 ref 99 ref 3150 ref appTerm 3153 def absTerm 3154 def 39 ref appTerm 3155 def betaConv 3156 def 48 ref 99 ref 3154 ref appTerm 3157 def absTerm 3158 def 57 ref appTerm 3159 def betaConv 3160 def nil 208 ref 29 ref 99 ref 26 ref 71 ref 2218 ref 49 ref 2219 remove appTerm 3161 def 42 ref appTerm appTerm appTerm 3057 ref appTerm 3162 def absTerm 3163 def appTerm 3164 def absTerm 3165 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3164 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 3163 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3162 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 1051 ref appThm 3166 def 216 ref 2250 ref appThm 3167 def 42 ref refl appThm appThm appThm 3114 remove appThm sym nil 110 ref 49 ref 280 remove appTerm 3168 def 49 ref 2251 ref appTerm 3169 def 42 ref appTerm 3170 def appTerm nil cons 3171 def cons 3071 remove cons nil cons cons 3172 def 126 ref subst 3172 remove 194 ref subst nil 1064 ref 153 ref 3170 remove nil cons cons nil cons cons nil cons cons 3173 def 167 ref subst 3173 remove 334 ref subst nil 2270 ref 153 ref 3069 ref cons nil cons cons nil cons cons 167 ref subst 3037 ref refl 1063 ref appThm 2269 ref appThm nil 139 ref 3065 remove cons nil cons nil cons cons 146 ref subst 3038 remove assume eqMp trans sym 145 ref eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 3171 remove cons 153 ref 3070 remove cons nil cons 3174 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 3165 remove appTerm 3175 def nil cons cons 111 ref 65 ref 48 ref 71 ref 3157 ref appTerm 99 ref 29 ref 99 ref 26 ref 71 ref 2272 ref 49 ref 2273 remove appTerm 3176 def 42 ref appTerm 3177 def appTerm appTerm 3057 remove appTerm 3178 def absTerm 3179 def appTerm 3180 def absTerm 3181 def appTerm 3182 def appTerm 3183 def absTerm 3184 def appTerm 3185 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 3184 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3183 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3157 remove nil cons 3186 def cons 3187 def 111 ref 3182 remove nil cons 3188 def cons nil cons cons nil cons cons 3189 def 126 ref subst 3189 remove 194 ref subst nil 208 ref 3181 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3180 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 3179 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3178 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3119 ref 111 ref 3177 remove nil cons cons 2288 ref cons cons nil cons cons 2249 ref subst 1095 ref nil 3119 remove 3120 remove 110 ref 2287 remove cons nil cons 3190 def cons cons nil cons cons 2249 ref subst 2290 ref 3058 ref refl appThm trans appThm trans sym nil 262 ref 2291 ref 2294 ref 2299 ref 3058 remove appTerm 3191 def appTerm 3192 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 3192 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2303 ref 111 ref 3191 ref nil cons 3193 def cons nil cons 3194 def cons nil cons cons 3195 def 126 ref subst 3195 remove 194 ref subst 2307 ref nil 2312 ref 3194 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2313 ref 2316 ref 3191 ref appTerm 3196 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 3196 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2319 ref 3194 ref cons nil cons cons 3197 def 126 ref subst 3197 remove 194 ref subst 2321 ref nil 2328 ref 3194 remove cons nil cons cons 3198 def 175 ref subst proveHyp 3198 ref 126 ref subst 3198 remove 194 ref subst 2332 ref 2333 ref 36 ref "_31950" 2 ref var 3199 def 2299 ref 71 ref 38 ref 3199 remove varTerm 3200 def appTerm 41 ref appTerm appTerm 3037 remove 3200 remove appTerm 41 ref appTerm appTerm appTerm absTerm 3201 def 39 ref appTerm 3202 def appTerm refl 3201 ref 2322 ref appTerm betaConv appThm 155 ref 3202 remove betaConv appThm 2299 ref 71 ref 38 ref 2322 ref appTerm 3203 def 41 ref appTerm 3204 def appTerm 3205 def 3044 ref 41 ref appTerm appTerm 3206 def appTerm 3207 def refl appThm trans 3201 remove refl 2342 ref appThm eqMp sym nil 262 ref 2343 ref 2346 ref 3206 ref appTerm 3208 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 3208 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2349 ref 111 ref 3206 ref nil cons 3209 def cons nil cons 3210 def cons nil cons cons 3211 def 126 ref subst 3211 remove 194 ref subst 2353 ref nil 2359 ref 3210 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2360 ref 2363 ref 3206 ref appTerm 3212 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 3212 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2366 ref 3210 ref cons nil cons cons 3213 def 126 ref subst 3213 remove 194 ref subst 2368 ref nil 2376 ref 3210 remove cons nil cons cons 3214 def 175 ref subst proveHyp 3214 ref 126 ref subst 3214 remove 194 ref subst 2382 ref 2383 ref 36 ref "_31958" 2 ref var 3215 def 71 ref 3203 ref 3215 remove varTerm 3216 def appTerm appTerm 3044 remove 3216 remove appTerm appTerm absTerm 3217 def 41 ref appTerm 3218 def appTerm refl 3217 ref 2369 ref appTerm betaConv appThm 155 ref 3218 remove betaConv appThm 71 ref 3203 remove 2369 ref appTerm 3219 def appTerm 3220 def 3045 ref appTerm refl appThm trans 3217 remove refl 2392 ref appThm eqMp sym 226 ref nil 110 ref 3219 ref nil cons 3221 def cons 111 ref 3040 remove 3041 ref appTerm 3222 def nil cons 3223 def cons nil cons cons nil cons cons 3224 def 335 ref subst 3224 ref 126 ref subst 3224 remove 194 ref subst 29 ref 725 ref 26 ref 47 ref 66 ref 49 ref 42 ref appTerm 3225 def 49 ref 75 ref 2292 ref appTerm appTerm 3226 def 80 ref 2344 ref appTerm 3227 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3228 def 2322 ref appTerm betaConv sym 26 ref 47 ref 66 ref 49 ref 3204 remove appTerm 3229 def 49 ref 72 ref 2322 ref appTerm 74 ref appTerm 2292 ref appTerm appTerm 3230 def 3227 ref appTerm appTerm absTerm appTerm absTerm 3231 def 2369 ref appTerm betaConv sym 66 ref 49 ref 3219 ref appTerm 3232 def 3230 ref 72 ref 2369 ref appTerm 74 ref appTerm 2344 ref appTerm 3233 def appTerm appTerm absTerm 3234 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 3221 ref cons nil cons nil cons cons 146 ref subst 3219 ref assume eqMp 3235 def appThm 3236 def 216 ref nil 1170 ref 2436 ref cons 2928 remove cons nil cons cons 1330 ref subst nil 2438 ref nil cons cons 1388 ref subst 3237 def trans appThm 3238 def nil 1170 ref 2439 ref cons 2909 ref cons nil cons cons 1330 ref subst nil 2441 ref nil cons cons 1388 ref subst trans 3239 def appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 3234 remove nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3231 remove nil cons cons 29 ref 2369 ref nil cons cons nil cons 3240 def cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3228 ref nil cons cons 29 ref 2322 ref nil cons cons nil cons 3241 def cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 3228 remove appTerm nil cons cons 111 ref 3039 ref nil cons 3242 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 69 ref 2436 ref cons 3243 def 70 ref 2439 ref cons 3244 def nil cons cons nil cons cons 70 ref 71 ref 725 ref 29 ref 725 ref 26 ref 47 ref 66 ref 3225 ref 83 ref appTerm 3245 def absTerm 3246 def appTerm 3247 def absTerm 3248 def appTerm 3249 def absTerm 3250 def appTerm 3251 def appTerm 3252 def 85 ref appTerm 3253 def absTerm 3254 def 81 ref appTerm 3255 def betaConv 69 ref 68 ref 3254 ref appTerm 3256 def absTerm 3257 def 76 ref appTerm 3258 def betaConv 22 ref 68 ref 3257 ref appTerm 3259 def absTerm 3260 def 37 ref appTerm 3261 def betaConv nil 178 ref 22 ref 99 ref 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 3245 ref appTerm 85 ref appTerm 3262 def absTerm 3263 def appTerm 3264 def absTerm 3265 def appTerm 3266 def absTerm 3267 def appTerm 3268 def absTerm 3269 def appTerm 3270 def absTerm 3271 def appTerm 3272 def absTerm 3273 def nil cons cons 3274 def nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3272 remove nil cons 3275 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3271 ref nil cons cons 3276 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3270 remove nil cons 3277 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3269 ref nil cons cons 3278 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3268 remove nil cons 3279 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3267 ref nil cons cons 3280 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3266 remove nil cons 3281 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3265 ref nil cons cons 3282 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 3264 remove nil cons 3283 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3263 ref nil cons cons 3284 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 3262 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 214 ref appThm 3285 def 83 ref refl 3286 def appThm appThm 376 remove appThm sym nil 110 ref 49 ref 95 ref appTerm 3287 def 83 ref appTerm nil cons 3288 def cons 665 ref cons nil cons cons 3289 def 126 ref subst 3289 remove 194 ref subst nil 151 ref 95 ref nil cons 3290 def cons 3291 def 153 ref 83 ref nil cons 3292 def cons nil cons cons nil cons cons 3293 def 167 ref subst 3293 remove 334 ref subst nil 110 ref 3290 ref cons 3294 def 665 ref cons nil cons cons 175 ref subst nil 257 ref 48 ref 3075 ref 85 ref appTerm 3295 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3295 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3078 ref 665 ref cons nil cons cons 3296 def 126 ref subst 3296 remove 194 ref subst 3081 ref nil 3083 ref 665 ref cons nil cons cons 3297 def 175 ref subst proveHyp 3297 ref 126 ref subst 3297 remove 194 ref subst 3089 ref 3093 remove 334 ref subst 3298 def nil 110 ref 3292 ref cons 3299 def 665 ref cons nil cons cons 175 ref subst 86 ref 81 ref appTerm 3300 def betaConv 88 ref 76 ref appTerm 3301 def betaConv 90 ref 74 ref appTerm 3302 def betaConv nil 110 ref 3091 ref cons 3303 def 111 ref 3302 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 90 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 89 remove nil cons cons 111 ref 3301 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 88 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 87 remove nil cons cons 111 ref 3300 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 86 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp 3304 def proveHyp proveHyp eqMp nil 3101 ref 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3103 ref 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3104 ref 85 ref appTerm absTerm appTerm nil cons cons 111 ref 3105 ref 85 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3106 ref 850 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 3288 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 3305 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 3306 def nil 110 ref 108 ref 3273 ref appTerm 3307 def nil cons 3308 def cons 3309 def 111 ref 108 ref 3260 ref appTerm nil cons 3310 def cons nil cons cons nil cons cons 3311 def 175 ref subst proveHyp 3311 ref 126 ref subst 3311 remove 194 ref subst nil 178 ref 3260 remove nil cons cons 3312 def nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3259 remove nil cons 3313 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3257 remove nil cons cons 3314 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 3256 remove nil cons 3315 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3254 remove nil cons cons 3316 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 3253 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3251 remove nil cons 3317 def cons 3318 def 665 ref cons nil cons cons 3319 def 126 ref subst 3319 remove 194 ref subst nil 3309 ref 665 ref cons nil cons cons 3320 def 175 ref subst nil 3318 remove 111 ref 71 ref 3307 ref appTerm 85 ref appTerm 3321 def nil cons 3322 def cons nil cons 3323 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 3250 ref 39 ref appTerm 3324 def appTerm 3321 ref appTerm 3325 def absTerm 3326 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3325 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3324 ref nil cons 3327 def cons 3323 ref cons nil cons cons 3328 def 126 ref subst 3328 remove 194 ref subst 3324 ref betaConv 3324 remove assume eqMp nil 110 ref 3249 ref nil cons cons 3323 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 3248 ref 41 ref appTerm 3329 def appTerm 3321 ref appTerm 3330 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3330 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3329 ref nil cons 3331 def cons 3323 ref cons nil cons cons 3332 def 126 ref subst 3332 remove 194 ref subst 3329 ref betaConv 3329 remove assume eqMp nil 110 ref 3247 ref nil cons cons 3323 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 3246 ref 74 ref appTerm 3333 def appTerm 3321 ref appTerm 3334 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3334 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3333 ref nil cons 3335 def cons 3323 ref cons nil cons cons 3336 def 126 ref subst 3336 remove 194 ref subst 3333 ref betaConv 3333 remove assume eqMp nil 110 ref 3245 remove nil cons 3337 def cons 3338 def 3323 remove cons nil cons cons 3339 def 175 ref subst proveHyp 3339 ref 126 ref subst 3339 remove 194 ref subst 3320 ref 126 ref subst 3320 remove 194 ref subst nil 3338 remove 665 ref cons nil cons cons 175 ref subst 3263 remove 81 ref appTerm 3340 def betaConv 3265 remove 76 ref appTerm 3341 def betaConv 3267 remove 74 ref appTerm 3342 def betaConv 3269 remove 41 ref appTerm 3343 def betaConv 3271 remove 39 ref appTerm 3344 def betaConv 3273 remove 37 ref appTerm 3345 def betaConv nil 3309 remove 111 ref 3345 remove nil cons cons nil cons cons nil cons cons 175 ref subst 177 ref 3274 remove 180 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3275 remove cons 111 ref 3344 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3276 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3277 remove cons 111 ref 3343 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3278 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3279 remove cons 111 ref 3342 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3280 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3281 remove cons 111 ref 3341 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3282 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3283 remove cons 111 ref 3340 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3284 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3308 remove cons 3346 def 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 3337 remove cons 153 ref 3322 remove cons nil cons 3347 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3335 remove cons 3347 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3246 ref 797 ref appTerm appTerm 3321 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3247 remove appTerm 3321 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3246 remove nil cons cons 3347 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3331 remove cons 3347 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 3248 ref 1893 ref appTerm appTerm 3321 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3249 remove appTerm 3321 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3248 remove nil cons cons 3347 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3327 remove cons 3347 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 3326 remove appTerm nil cons cons 111 ref 3252 remove 3321 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3250 remove nil cons cons 3347 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3317 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3346 remove 153 ref 3310 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3310 remove cons 111 ref 3261 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 3312 remove 180 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3313 remove cons 111 ref 3258 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3314 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3315 remove cons 111 ref 3255 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3316 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 3242 ref cons 111 ref 3041 ref nil cons 3348 def cons nil cons 3349 def cons nil cons cons 194 ref subst proveHyp 26 ref 3205 remove 47 ref 48 ref 49 ref 52 ref 54 ref 2322 ref appTerm 3350 def appTerm 3351 def 57 ref appTerm appTerm 3352 def 62 ref appTerm absTerm appTerm appTerm absTerm 3353 def 2369 ref appTerm 3354 def betaConv 29 ref 99 ref 26 ref 3108 remove absTerm 3355 def appTerm 3356 def absTerm 3357 def 2322 ref appTerm 3358 def betaConv nil 208 ref 3357 ref nil cons cons 3359 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3356 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 3355 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3109 remove cons nil cons nil cons cons 146 ref subst 3107 ref eqMp absThm eqMp eqMp absThm eqMp 3360 def nil 110 ref 99 ref 3357 remove appTerm 3361 def nil cons 3362 def cons 111 ref 3358 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3359 remove 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 3353 ref appTerm nil cons cons 111 ref 3354 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3353 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3220 ref 47 ref 48 ref 3352 ref 52 ref 54 ref 2369 ref appTerm appTerm 57 ref appTerm 3363 def appTerm absTerm appTerm appTerm nil cons cons 3349 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 3235 remove appThm 215 ref 48 ref 216 ref 217 ref nil 26 ref 2402 ref cons 29 ref 2553 remove cons nil cons cons 3364 def nil cons cons 1580 ref subst 3365 def 1288 ref nil 2461 remove nil cons cons 1162 ref subst 3366 def 306 ref trans appThm 2324 ref refl 3367 def appThm nil 48 ref 2324 ref nil cons 3368 def cons 3369 def 493 ref 298 remove cons nil cons 3370 def cons nil cons cons 48 ref 52 ref 456 ref 1223 ref appTerm 57 ref appTerm appTerm 300 ref 498 ref appTerm 3371 def appTerm absTerm 3372 def 57 ref appTerm 3373 def betaConv 493 ref 65 ref 3372 ref appTerm 3374 def absTerm 3375 def 496 ref appTerm 3376 def betaConv nil 65 ref 3375 ref appTerm 3377 def axiom nil 110 ref 3377 remove nil cons cons 111 ref 3376 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3375 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3374 remove nil cons cons 111 ref 3373 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3372 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 3378 def subst 305 ref nil 3369 ref nil cons nil cons cons 3379 def 48 ref 52 ref 456 ref 220 ref appTerm 57 ref appTerm appTerm 57 ref appTerm absTerm 3380 def 57 ref appTerm 3381 def betaConv nil 65 ref 3380 ref appTerm 3382 def axiom nil 110 ref 3382 remove nil cons cons 111 ref 3381 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3380 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 3383 def subst appThm trans trans trans appThm 222 ref appThm appThm 3384 def 217 ref nil 26 ref 2405 ref cons 3385 def 29 ref 2551 remove cons nil cons cons 3386 def nil cons cons 1580 ref subst 1288 ref nil 2908 remove nil cons cons 1162 ref subst 3387 def 306 ref trans appThm 2372 ref refl appThm nil 48 ref 2372 ref nil cons 3388 def cons 3389 def 3370 ref cons nil cons cons 3378 ref subst 305 ref nil 3389 remove nil cons nil cons cons 3390 def 3383 ref subst appThm trans trans trans appThm 222 ref appThm 3391 def appThm absThm appThm appThm nil 139 ref 47 ref 48 ref 49 ref 52 ref 300 ref 2324 ref appTerm 3392 def appTerm 3393 def 57 ref appTerm appTerm 3394 def 52 ref 300 ref 2372 ref appTerm appTerm 3395 def 57 ref appTerm 3396 def appTerm absTerm 3397 def appTerm 3398 def nil cons cons nil cons nil cons cons 840 ref subst trans appThm 3041 ref refl 3399 def appThm sym nil 257 ref 493 ref 71 ref 3397 ref 496 ref appTerm 3400 def appTerm 3041 ref appTerm 3401 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 3401 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3400 ref nil cons 3402 def cons 3349 ref cons nil cons cons 3403 def 126 ref subst 3403 remove 194 ref subst 3400 ref betaConv 3400 remove assume eqMp nil 110 ref 49 ref 3393 ref 496 ref appTerm appTerm 3404 def 3395 ref 496 ref appTerm 3405 def appTerm 3406 def nil cons cons 3349 ref cons nil cons cons 175 ref subst proveHyp 1190 remove 496 ref appTerm 3407 def betaConv 1193 remove nil 1194 remove 111 ref 3407 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 1195 remove 509 ref cons nil cons cons 205 ref subst eqMp eqMp 3408 def nil 110 ref 1189 remove nil cons 3409 def cons 3410 def 111 ref 71 ref 3406 remove appTerm 3041 ref appTerm 3411 def nil cons 3412 def cons nil cons 3413 def cons nil cons cons 3414 def 175 ref subst proveHyp 3414 ref 126 ref subst 3414 remove 194 ref subst nil 257 ref 48 ref 71 ref 1187 ref 57 ref appTerm 3415 def appTerm 3416 def 3411 ref appTerm 3417 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3417 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3415 ref nil cons 3418 def cons 3419 def 3413 ref cons nil cons cons 3420 def 126 ref subst 3420 remove 194 ref subst 3415 ref betaConv 3415 remove assume eqMp 3421 def nil 110 ref 1186 ref nil cons 3422 def cons 3423 def 3413 ref cons nil cons cons 3424 def 175 ref subst proveHyp 3424 ref 126 ref subst 3424 remove 194 ref subst 36 ref "_31940" 44 ref var 3425 def 71 ref 49 ref 3393 ref 3425 remove varTerm 3426 def appTerm appTerm 3395 ref 3426 remove appTerm appTerm appTerm 3041 ref appTerm absTerm 3427 def 496 ref appTerm 3428 def appTerm refl 3429 def 3427 ref 309 ref appTerm betaConv appThm 155 ref 3428 remove betaConv appThm 3430 def 71 ref 49 ref 3393 ref 309 ref appTerm appTerm 3431 def 3395 ref 309 ref appTerm 3432 def appTerm appTerm 3041 ref appTerm refl appThm trans 3427 remove refl 3433 def 1186 remove assume 3434 def appThm eqMp sym 226 ref 216 ref nil 493 ref 3368 ref cons nil cons nil cons cons 3435 def 48 ref 36 ref 1224 ref 309 ref appTerm appTerm 500 remove 57 ref appTerm 3436 def appTerm absTerm 3437 def 57 ref appTerm 3438 def betaConv 493 ref 65 ref 3437 ref appTerm 3439 def absTerm 3440 def 496 ref appTerm 3441 def betaConv nil 65 ref 3440 ref appTerm 3442 def axiom nil 110 ref 3442 remove nil cons cons 111 ref 3441 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3440 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3439 remove nil cons cons 111 ref 3438 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3437 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 3443 def subst appThm 3444 def nil 493 ref 3388 remove cons nil cons nil cons cons 3443 ref subst 3445 def appThm appThm 3399 ref appThm sym nil 110 ref 2408 remove nil cons 3446 def cons 3447 def 3349 ref cons nil cons cons 3448 def 126 ref subst 3448 remove 194 ref subst nil 151 ref 2330 remove cons 3449 def 2380 remove cons nil cons cons 3450 def 167 ref subst 3450 remove 334 ref subst 29 ref 725 ref 26 ref 47 ref 271 ref 47 ref 48 ref 3225 ref 49 ref 699 ref 2314 ref appTerm appTerm 3451 def 1262 ref 2361 ref appTerm 3452 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3453 def 2322 ref appTerm betaConv sym 26 ref 47 ref 271 ref 47 ref 48 ref 3229 remove 49 ref 235 ref 2322 ref appTerm 3454 def 275 ref appTerm 57 ref appTerm 2314 ref appTerm appTerm 3455 def 3452 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3456 def 2369 ref appTerm betaConv sym 271 ref 47 ref 48 ref 3232 ref 3455 ref 235 ref 2369 ref appTerm 3457 def 275 ref appTerm 57 ref appTerm 2361 ref appTerm 3458 def appTerm appTerm absTerm appTerm absTerm 3459 def 240 ref appTerm betaConv sym 48 ref 3232 remove 49 ref 3454 ref 240 ref appTerm 3460 def 57 ref appTerm 2314 ref appTerm 3461 def appTerm 3462 def 3457 ref 240 ref appTerm 3463 def 57 ref appTerm 2361 ref appTerm 3464 def appTerm 3465 def appTerm absTerm 3466 def 57 ref appTerm betaConv sym nil 3125 ref 3464 ref nil cons 3467 def cons 3126 ref 3461 ref nil cons 3468 def cons 3469 def 3127 ref 3221 ref cons nil cons cons cons nil cons cons 3125 ref 36 ref 3134 remove appTerm 3133 remove appTerm 3470 def absTerm 3471 def 3132 remove appTerm 3472 def betaConv 3126 ref 343 ref 3471 ref appTerm 3473 def absTerm 3474 def 3131 remove appTerm 3475 def betaConv 3127 ref 343 ref 3474 ref appTerm 3476 def absTerm 3477 def 3129 remove appTerm 3478 def betaConv 2237 ref 3127 ref 2237 ref 3126 ref 2237 ref 3125 ref 3470 remove assume sym 3135 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 3145 remove eqMp nil 110 ref 343 ref 3477 ref appTerm nil cons cons 111 ref 3478 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3477 remove nil cons cons 3146 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3476 remove nil cons cons 111 ref 3475 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3474 remove nil cons cons 3147 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3473 remove nil cons cons 111 ref 3472 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 3471 remove nil cons cons 3148 remove cons nil cons cons 205 ref subst eqMp eqMp 3479 def subst 216 ref 3236 remove 3461 ref refl 3480 def appThm nil 139 ref 3468 ref cons nil cons nil cons cons 527 ref subst 3481 def trans appThm 3464 ref refl 3482 def appThm trans sym 36 ref "_31946" 44 ref var 3483 def 3460 ref 3483 remove varTerm appTerm 2314 ref appTerm absTerm 3484 def 57 ref appTerm 3485 def appTerm refl 3484 ref 2324 ref appTerm betaConv appThm 155 ref 3485 remove betaConv appThm 3460 remove 2324 ref appTerm 2314 ref appTerm refl appThm trans 3484 remove refl 2415 remove sym appThm eqMp sym 3366 ref 36 ref "_31948" 44 ref var 3486 def 3454 ref 3486 remove varTerm appTerm 2324 ref appTerm 2314 ref appTerm absTerm 3487 def 240 ref appTerm 3488 def appTerm refl 3487 ref 54 ref 2308 remove appTerm 3489 def appTerm betaConv appThm 155 ref 3488 remove betaConv appThm 3454 remove 3489 ref appTerm 2324 ref appTerm 2314 ref appTerm refl appThm trans 3487 remove refl 52 ref 3489 remove appTerm 240 ref appTerm assume sym appThm eqMp sym nil 542 ref 2402 ref cons 3364 remove cons nil cons cons 542 ref 36 ref 1267 remove 55 ref appTerm 60 ref appTerm 547 ref appTerm appTerm 1311 ref 41 ref appTerm appTerm absTerm 3490 def 547 ref appTerm 3491 def betaConv 26 ref 99 ref 3490 ref appTerm 3492 def absTerm 3493 def 41 ref appTerm 3494 def betaConv 29 ref 99 ref 3493 ref appTerm 3495 def absTerm 3496 def 39 ref appTerm 3497 def betaConv nil 99 ref 3496 ref appTerm 3498 def axiom nil 110 ref 3498 remove nil cons cons 111 ref 3497 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3496 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3495 remove nil cons cons 111 ref 3494 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3493 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3492 remove nil cons cons 111 ref 3491 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3490 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp 3499 def subst nil 2404 ref nil cons cons 641 remove 488 remove subst 3500 def subst 3501 def trans sym 145 ref eqMp eqMp proveHyp eqMp 3502 def nil 110 ref 3468 ref cons 111 ref 3467 ref cons nil cons 3503 def cons nil cons cons 194 ref subst proveHyp 36 ref "_31942" 44 ref var 3504 def 3463 ref 3504 remove varTerm appTerm 2361 ref appTerm absTerm 3505 def 57 ref appTerm 3506 def appTerm refl 3505 ref 2372 ref appTerm betaConv appThm 155 ref 3506 remove betaConv appThm 3463 remove 2372 ref appTerm 2361 ref appTerm refl appThm trans 3505 remove refl 2419 remove sym appThm eqMp sym 3387 remove 36 ref "_31944" 44 ref var 3507 def 3457 ref 3507 remove varTerm appTerm 2372 ref appTerm 2361 ref appTerm absTerm 3508 def 240 ref appTerm 3509 def appTerm refl 3508 ref 54 ref 2354 remove appTerm 3510 def appTerm betaConv appThm 155 ref 3509 remove betaConv appThm 3457 remove 3510 ref appTerm 2372 remove appTerm 2361 ref appTerm refl appThm trans 3508 remove refl 52 ref 3510 remove appTerm 240 ref appTerm assume sym appThm eqMp sym nil 542 ref 2405 ref cons 3386 remove cons nil cons cons 3499 ref subst nil 2407 ref nil cons cons 3500 ref subst trans sym 145 ref eqMp eqMp proveHyp eqMp 3511 def eqMp 3512 def eqMp eqMp 256 ref 257 ref 3466 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 3459 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3456 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3453 ref nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 3453 remove appTerm nil cons cons 3349 remove cons nil cons cons 175 ref subst proveHyp nil "ys" 2 ref var 3513 def 2405 ref cons 3514 def "xs" 2 ref var 3515 def 2402 ref cons 3516 def nil cons cons 3517 def nil cons cons 3513 ref 71 ref 725 ref 29 ref 725 ref 26 ref 47 ref 271 ref 47 ref 48 ref 3225 ref 49 ref 699 ref 3515 ref varTerm 3518 def appTerm 3519 def appTerm 3520 def 1262 ref 3513 ref varTerm 3521 def appTerm 3522 def appTerm 3523 def appTerm 3524 def absTerm 3525 def appTerm 3526 def absTerm 3527 def appTerm 3528 def absTerm 3529 def appTerm 3530 def absTerm 3531 def appTerm 3532 def appTerm 3533 def 38 ref 3518 ref appTerm 3521 ref appTerm 3534 def appTerm 3535 def absTerm 3536 def 3521 ref appTerm 3537 def betaConv 3515 ref 99 ref 3536 ref appTerm 3538 def absTerm 3539 def 3518 ref appTerm 3540 def betaConv 22 ref 99 ref 3539 ref appTerm 3541 def absTerm 3542 def 37 ref appTerm 3543 def betaConv nil 178 ref 22 ref 99 ref 29 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 71 ref 3524 ref appTerm 3534 ref appTerm 3544 def absTerm 3545 def appTerm 3546 def absTerm 3547 def appTerm 3548 def absTerm 3549 def appTerm 3550 def absTerm 3551 def appTerm 3552 def absTerm 3553 def appTerm 3554 def absTerm 3555 def appTerm 3556 def absTerm 3557 def nil cons cons 3558 def nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3556 remove nil cons 3559 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3555 ref nil cons cons 3560 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3554 remove nil cons 3561 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3553 ref nil cons cons 3562 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3552 remove nil cons 3563 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3551 ref nil cons cons 3564 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 3550 remove nil cons 3565 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3549 ref nil cons cons 3566 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3548 remove nil cons 3567 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3547 ref nil cons cons 3568 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 3546 remove nil cons 3569 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3545 ref nil cons cons 3570 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 3544 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 3285 remove 3523 ref refl 3571 def appThm appThm nil 26 ref 3521 ref nil cons 3572 def cons 3573 def 29 ref 3518 ref nil cons 3574 def cons 3575 def nil cons 3576 def cons 3577 def nil cons cons 214 ref subst appThm sym nil 110 ref 3287 remove 3523 ref appTerm nil cons 3578 def cons 111 ref 47 ref 48 ref 49 ref 52 ref 54 ref 3518 ref appTerm appTerm 57 ref appTerm 3579 def appTerm 3580 def 49 ref 52 ref 54 ref 3521 ref appTerm appTerm 57 ref appTerm 3581 def appTerm 3582 def 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 49 ref 72 ref 3518 ref appTerm 74 ref appTerm 76 ref appTerm 3583 def appTerm 3584 def 72 ref 3521 ref appTerm 74 ref appTerm 81 ref appTerm 3585 def appTerm 3586 def appTerm 85 ref appTerm 3587 def absTerm 3588 def appTerm 3589 def absTerm 3590 def appTerm 3591 def absTerm 3592 def appTerm 3593 def appTerm 3594 def appTerm absTerm 3595 def appTerm 3596 def nil cons 3597 def cons nil cons 3598 def cons nil cons cons 3599 def 126 ref subst 3599 remove 194 ref subst nil 3291 remove 153 ref 3523 ref nil cons cons nil cons cons nil cons cons 3600 def 167 ref subst 3600 remove 334 ref subst nil 3294 ref 3598 ref cons nil cons cons 175 ref subst nil 257 ref 493 ref 71 ref 94 remove 496 ref appTerm 3601 def appTerm 3596 ref appTerm 3602 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 3602 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3601 ref nil cons 3603 def cons 3598 ref cons nil cons cons 3604 def 126 ref subst 3604 remove 194 ref subst 3601 ref betaConv 3601 remove assume eqMp nil 110 ref 49 ref 1019 ref appTerm 3605 def 49 ref 61 ref 496 ref appTerm 3606 def appTerm 3607 def 91 ref appTerm 3608 def appTerm nil cons 3609 def cons 3598 remove cons nil cons cons 3610 def 175 ref subst proveHyp 3610 ref 126 ref subst 3610 remove 194 ref subst nil 151 ref 1019 ref nil cons 3611 def cons 3612 def 153 ref 3608 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 151 ref 3606 ref nil cons 3613 def cons 3614 def 3092 remove cons nil cons cons 334 ref subst nil 151 ref 3519 ref nil cons 3615 def cons 3616 def 153 ref 3522 ref nil cons 3617 def cons nil cons cons nil cons cons 3618 def 167 ref subst 3618 remove 334 ref subst 3595 ref 57 ref appTerm betaConv sym 29 ref 47 ref 271 ref 3519 ref absTerm 3619 def appTerm absTerm 3620 def 39 ref appTerm betaConv sym 3619 ref 275 ref appTerm betaConv sym 3519 remove assume 3621 def eqMp 256 ref 257 ref 3619 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3620 ref nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 3620 remove appTerm nil cons cons 111 ref 3579 remove nil cons 3622 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 26 ref 3574 ref cons nil cons nil cons cons 48 ref 71 ref 725 ref 29 ref 47 ref 271 ref 728 ref absTerm 3623 def appTerm 3624 def absTerm 3625 def appTerm 3626 def appTerm 3627 def 62 ref appTerm 3628 def absTerm 3629 def 57 ref appTerm 3630 def betaConv 26 ref 65 ref 3629 ref appTerm 3631 def absTerm 3632 def 41 ref appTerm 3633 def betaConv 2125 remove nil 2127 ref 111 ref 99 ref 3632 ref appTerm nil cons 3634 def cons nil cons cons nil cons cons 3635 def 175 ref subst proveHyp 3635 ref 126 ref subst 3635 remove 194 ref subst nil 208 ref 3632 remove nil cons cons 3636 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3631 remove nil cons 3637 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3629 remove nil cons cons 3638 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3628 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3626 remove nil cons 3639 def cons 3640 def 111 ref 1107 ref cons nil cons 3641 def cons nil cons cons 3642 def 126 ref subst 3642 remove 194 ref subst nil 2127 remove 3641 ref cons nil cons cons 3643 def 175 ref subst nil 3640 remove 111 ref 71 ref 2124 remove appTerm 62 ref appTerm 3644 def nil cons 3645 def cons nil cons 3646 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 3625 ref 39 ref appTerm 3647 def appTerm 3644 ref appTerm 3648 def absTerm 3649 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3648 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3647 ref nil cons 3650 def cons 3646 ref cons nil cons cons 3651 def 126 ref subst 3651 remove 194 ref subst 3647 ref betaConv 3647 remove assume eqMp nil 110 ref 3624 ref nil cons cons 3646 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 3623 ref 275 ref appTerm 3652 def appTerm 3644 ref appTerm 3653 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 3653 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3652 ref nil cons 3654 def cons 3646 ref cons nil cons cons 3655 def 126 ref subst 3655 remove 194 ref subst 3652 ref betaConv 3652 remove assume eqMp nil 2055 ref 3646 remove cons nil cons cons 3656 def 175 ref subst proveHyp 3656 ref 126 ref subst 3656 remove 194 ref subst 3643 ref 126 ref subst 3643 remove 194 ref subst nil 2055 ref 3641 ref cons nil cons cons 175 ref subst 2114 ref 41 ref appTerm 3657 def betaConv 2116 ref 57 ref appTerm 3658 def betaConv 2118 remove 275 ref appTerm 3659 def betaConv 2123 remove 2128 remove 2129 remove eqMp eqMp nil 2130 remove 111 ref 3659 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2131 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2117 remove nil cons cons 111 ref 3658 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 2116 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2115 remove nil cons cons 111 ref 3657 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2114 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 2126 remove cons 3660 def 1108 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 2063 ref 153 ref 3645 remove cons nil cons 3661 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3654 remove cons 3661 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3623 ref 797 ref appTerm appTerm 3644 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3624 remove appTerm 3644 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3623 remove nil cons cons 3661 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3650 remove cons 3661 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 3649 remove appTerm nil cons cons 111 ref 3627 remove 3644 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3625 remove nil cons cons 3661 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3639 remove cons 1108 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3660 remove 153 ref 3634 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3634 remove cons 111 ref 3633 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3636 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3637 remove cons 111 ref 3630 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3638 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp 3662 def subst eqMp 3663 def nil 110 ref 3622 remove cons 3664 def 111 ref 3594 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 29 ref 47 ref 271 ref 699 ref 3521 ref appTerm absTerm appTerm absTerm 3665 def 41 ref appTerm betaConv sym 271 ref 3522 ref absTerm 3666 def 275 ref appTerm betaConv sym 3522 ref assume 3667 def eqMp 256 ref 257 ref 3666 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 3665 ref nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 3665 remove appTerm nil cons cons 111 ref 3581 remove nil cons 3668 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 3573 ref nil cons nil cons cons 3662 ref subst eqMp 3669 def nil 110 ref 3668 remove cons 3670 def 111 ref 3593 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 3592 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3591 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3590 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 3589 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3588 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 3587 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3586 remove nil cons 3671 def cons 665 ref cons nil cons cons 3672 def 126 ref subst 3672 remove 194 ref subst nil 151 ref 3583 ref nil cons 3673 def cons 3674 def 153 ref 3585 ref nil cons 3675 def cons nil cons cons nil cons cons 3676 def 167 ref subst 3676 remove 334 ref subst 66 ref 83 ref absTerm 3677 def 1799 ref 74 ref appTerm 3678 def appTerm betaConv sym 48 ref 725 ref 26 ref 729 ref 80 ref 76 ref appTerm 3679 def appTerm absTerm 3680 def appTerm absTerm 3681 def 57 ref appTerm betaConv sym 3680 ref 3518 ref appTerm betaConv sym 216 ref nil 139 ref 3615 remove cons nil cons nil cons cons 146 ref subst 3621 ref eqMp appThm 3682 def nil 139 ref 3673 remove cons nil cons nil cons cons 146 ref subst 3583 remove assume eqMp appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 3680 remove nil cons cons 3576 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 3681 ref nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 3681 remove appTerm nil cons cons 111 ref 73 ref 3678 ref appTerm 3683 def 76 ref appTerm nil cons 3684 def cons nil cons cons nil cons cons 175 ref subst proveHyp 231 ref 227 ref 71 ref 47 ref 48 ref 725 ref 26 ref 729 remove 1657 ref appTerm 3685 def absTerm 3686 def appTerm 3687 def absTerm 3688 def appTerm 3689 def appTerm 3690 def 3683 remove 233 ref appTerm 3691 def appTerm 3692 def absTerm 3693 def 233 ref appTerm 3694 def betaConv 66 ref 68 ref 3693 ref appTerm 3695 def absTerm 3696 def 74 ref appTerm 3697 def betaConv 271 ref 65 ref 3696 ref appTerm 3698 def absTerm 3699 def 275 ref appTerm 3700 def betaConv 29 ref 65 ref 3699 ref appTerm 3701 def absTerm 3702 def 39 ref appTerm 3703 def betaConv nil 208 ref 29 ref 65 ref 271 ref 65 ref 48 ref 99 ref 26 ref 65 ref 66 ref 68 ref 227 ref 71 ref 3685 ref appTerm 3691 ref appTerm 3704 def absTerm 3705 def appTerm 3706 def absTerm 3707 def appTerm 3708 def absTerm 3709 def appTerm 3710 def absTerm 3711 def appTerm 3712 def absTerm 3713 def appTerm 3714 def absTerm 3715 def nil cons cons 3716 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3714 remove nil cons 3717 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3713 ref nil cons cons 3718 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 3712 remove nil cons 3719 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3711 ref nil cons cons 3720 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3710 remove nil cons 3721 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3709 ref nil cons cons 3722 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3708 remove nil cons 3723 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3707 ref nil cons cons 3724 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3706 remove nil cons 3725 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3705 ref nil cons cons 3726 def nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 3704 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3685 remove nil cons 3727 def cons 3728 def 111 ref 3691 ref nil cons 3729 def cons nil cons 3730 def cons nil cons cons 3731 def 126 ref subst 3731 ref 194 ref subst nil 2063 ref 153 ref 1657 ref nil cons 3732 def cons nil cons cons nil cons cons 3733 def 167 ref subst 3733 remove 334 ref subst nil 2055 ref 111 ref 36 ref 1657 ref appTerm 49 ref 1597 ref 57 ref appTerm 3734 def appTerm 3691 ref appTerm 3735 def appTerm 3736 def nil cons 3737 def cons nil cons cons nil cons cons 3738 def 126 ref subst 3738 remove 194 ref subst 155 ref 1678 remove appThm 216 ref 1222 ref 1794 remove subst 1796 remove 222 ref appThm trans appThm nil 66 ref 3678 ref nil cons 3739 def cons nil cons nil cons cons 266 ref subst appThm appThm sym nil 2055 ref 111 ref 36 ref 1681 remove appTerm 49 ref 2009 remove 57 ref appTerm appTerm 236 ref 3678 ref appTerm 240 ref appTerm 243 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst nil 452 ref 290 ref cons 493 ref 292 remove cons 3740 def 1670 remove cons cons nil cons cons 542 ref 71 ref 236 ref 458 ref appTerm 496 ref appTerm 41 ref appTerm appTerm 36 ref 1263 remove appTerm 49 ref 1800 ref 496 ref appTerm appTerm 236 ref 459 ref 275 ref appTerm appTerm 57 ref appTerm 547 ref appTerm appTerm appTerm appTerm absTerm 3741 def 547 ref appTerm 3742 def betaConv 48 ref 99 ref 3741 ref appTerm 3743 def absTerm 3744 def 57 ref appTerm 3745 def betaConv 271 ref 65 ref 3744 ref appTerm 3746 def absTerm 3747 def 275 ref appTerm 3748 def betaConv 452 ref 65 ref 3747 ref appTerm 3749 def absTerm 3750 def 458 ref appTerm 3751 def betaConv 29 ref 65 ref 3750 ref appTerm 3752 def absTerm 3753 def 39 ref appTerm 3754 def betaConv 493 ref 99 ref 3753 ref appTerm 3755 def absTerm 3756 def 496 ref appTerm 3757 def betaConv 26 ref 65 ref 3756 ref appTerm 3758 def absTerm 3759 def 41 ref appTerm 3760 def betaConv nil 99 ref 29 ref 65 ref 452 ref 65 ref 493 ref 99 ref 26 ref 3749 ref absTerm 3761 def appTerm 3762 def absTerm 3763 def appTerm 3764 def absTerm 3765 def appTerm 3766 def absTerm 3767 def appTerm 3768 def axiom nil 110 ref 3768 remove nil cons 3769 def cons 3770 def 111 ref 99 ref 3759 ref appTerm nil cons 3771 def cons nil cons cons nil cons cons 3772 def 175 ref subst proveHyp 3772 ref 126 ref subst 3772 remove 194 ref subst nil 208 ref 3759 remove nil cons cons 3773 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3758 remove nil cons 3774 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3756 remove nil cons cons 3775 def nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 3755 remove nil cons 3776 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3753 remove nil cons cons 3777 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3752 remove nil cons 3778 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3750 remove nil cons cons 3779 def nil cons nil cons cons 662 ref subst 452 ref nil 139 ref 3749 remove nil cons 3780 def cons nil cons nil cons cons 146 ref subst 3761 ref 41 ref appTerm 3781 def betaConv 3763 ref 496 ref appTerm 3782 def betaConv 3765 ref 458 ref appTerm 3783 def betaConv 3767 ref 39 ref appTerm 3784 def betaConv nil 3770 remove 111 ref 3784 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 3767 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3766 remove nil cons cons 111 ref 3783 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3765 remove nil cons cons 258 ref 511 ref cons nil cons 3785 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3764 remove nil cons cons 111 ref 3782 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3763 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3762 remove nil cons cons 111 ref 3781 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3761 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 3769 remove cons 153 ref 3771 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3771 remove cons 111 ref 3760 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3773 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3774 remove cons 111 ref 3757 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3775 remove 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3776 remove cons 111 ref 3754 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3777 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3778 remove cons 111 ref 3751 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3779 remove 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3780 remove cons 111 ref 3748 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3747 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3746 remove nil cons cons 111 ref 3745 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3744 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3743 remove nil cons cons 111 ref 3742 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3741 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 2063 ref 153 ref 3737 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 3786 def nil 110 ref 2023 ref 3736 remove appTerm 3787 def nil cons 3788 def cons 3730 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 2054 remove cons nil cons nil cons cons 146 ref subst 728 ref assume eqMp appThm 155 ref nil 139 ref 3732 remove cons nil cons nil cons cons 146 ref subst 1657 ref assume eqMp appThm 3735 ref refl appThm nil 139 ref 3735 remove nil cons 3789 def cons nil cons nil cons cons 3790 def 2148 ref subst trans appThm 3790 remove 840 ref subst trans appThm 3691 ref refl appThm sym nil 110 ref 3789 ref cons 3730 ref cons nil cons cons 3791 def 126 ref subst 3791 remove 194 ref subst nil 151 ref 3734 remove nil cons cons 153 ref 3729 remove cons nil cons 3792 def cons nil cons cons 334 ref subst eqMp nil 151 ref 3789 remove cons 3792 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 3727 remove cons 3793 def 3792 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 3794 def nil 110 ref 99 ref 3715 ref appTerm 3795 def nil cons 3796 def cons 3797 def 111 ref 99 ref 3702 ref appTerm nil cons 3798 def cons nil cons cons nil cons cons 3799 def 175 ref subst proveHyp 3799 ref 126 ref subst 3799 remove 194 ref subst nil 208 ref 3702 remove nil cons cons 3800 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3701 remove nil cons 3801 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3699 remove nil cons cons 3802 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 3698 remove nil cons 3803 def cons nil cons nil cons cons 146 ref subst nil 257 ref 3696 remove nil cons cons 3804 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3695 remove nil cons 3805 def cons nil cons nil cons cons 146 ref subst nil 262 ref 3693 remove nil cons cons 3806 def nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 3692 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3689 remove nil cons 3807 def cons 3808 def 3730 ref cons nil cons cons 3809 def 126 ref subst 3809 remove 194 ref subst nil 3797 ref 3730 remove cons nil cons cons 3810 def 175 ref subst nil 3808 remove 111 ref 71 ref 3795 ref appTerm 3691 remove appTerm 3811 def nil cons 3812 def cons nil cons 3813 def cons nil cons cons 175 ref subst nil 257 ref 48 ref 71 ref 3688 ref 57 ref appTerm 3814 def appTerm 3811 ref appTerm 3815 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3815 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3814 ref nil cons 3816 def cons 3813 ref cons nil cons cons 3817 def 126 ref subst 3817 remove 194 ref subst 3814 ref betaConv 3814 remove assume eqMp nil 110 ref 3687 ref nil cons cons 3813 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 3686 ref 41 ref appTerm 3818 def appTerm 3811 ref appTerm 3819 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3819 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3818 ref nil cons 3820 def cons 3813 ref cons nil cons cons 3821 def 126 ref subst 3821 remove 194 ref subst 3818 ref betaConv 3818 remove assume eqMp nil 3728 remove 3813 remove cons nil cons cons 3822 def 175 ref subst proveHyp 3822 ref 126 ref subst 3822 remove 194 ref subst 3810 ref 126 ref subst 3810 remove 194 ref subst 3731 remove 175 ref subst 3705 remove 233 ref appTerm 3823 def betaConv 3707 remove 74 ref appTerm 3824 def betaConv 3709 remove 41 ref appTerm 3825 def betaConv 3711 remove 57 ref appTerm 3826 def betaConv 3713 remove 275 ref appTerm 3827 def betaConv 3715 remove 39 ref appTerm 3828 def betaConv nil 3797 remove 111 ref 3828 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 3716 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3717 remove cons 111 ref 3827 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3718 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3719 remove cons 111 ref 3826 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3720 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3721 remove cons 111 ref 3825 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3722 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3723 remove cons 111 ref 3824 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3724 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3725 remove cons 111 ref 3823 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3726 remove 265 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3796 remove cons 3829 def 3792 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 3793 remove 153 ref 3812 remove cons nil cons 3830 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3820 remove cons 3830 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 3686 ref 1893 ref appTerm appTerm 3811 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3687 remove appTerm 3811 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3686 remove nil cons cons 3830 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3816 remove cons 3830 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3688 ref 797 ref appTerm appTerm 3811 ref appTerm absTerm appTerm nil cons cons 111 ref 3690 remove 3811 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3688 remove nil cons cons 3830 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3807 remove cons 3792 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3829 remove 153 ref 3798 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3798 remove cons 111 ref 3703 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3800 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3801 remove cons 111 ref 3700 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3802 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3803 remove cons 111 ref 3697 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3804 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3805 remove cons 111 ref 3694 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 3806 remove 265 ref cons nil cons cons 205 ref subst eqMp eqMp 3831 def subst eqMp 3832 def nil 110 ref 3684 remove cons 3833 def 111 ref 79 remove 3678 ref appTerm 81 ref appTerm 3834 def nil cons 3835 def cons nil cons 3836 def cons nil cons cons 194 ref subst proveHyp 48 ref 725 ref 1111 ref 49 ref 1262 ref 1113 ref appTerm appTerm 72 ref 1113 ref appTerm 74 ref appTerm 81 ref appTerm appTerm absTerm 3837 def appTerm absTerm 3838 def 57 ref appTerm betaConv sym 3837 ref 3521 ref appTerm betaConv sym 216 ref nil 139 ref 3617 ref cons nil cons nil cons cons 146 ref subst 3667 remove eqMp appThm 3839 def nil 139 ref 3675 ref cons nil cons nil cons cons 146 ref subst 3585 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 3837 remove nil cons cons 29 ref 3572 remove cons nil cons 3840 def cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 3838 ref nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 3838 remove appTerm nil cons cons 3836 remove cons nil cons cons 175 ref subst proveHyp nil 370 remove 213 ref cons nil cons cons 3841 def 3831 ref subst eqMp 3842 def eqMp eqMp 256 ref 257 ref 3677 ref nil cons cons 3843 def 258 ref 3739 remove cons nil cons 3844 def cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 3677 ref appTerm 3845 def nil cons 3846 def cons 3847 def 665 ref cons nil cons cons 3848 def 175 ref subst 3849 def proveHyp 3848 ref 126 ref subst 3848 remove 194 ref subst nil 3303 remove 665 remove cons nil cons cons 3850 def 175 ref subst nil 3847 remove 111 ref 71 ref 91 remove appTerm 85 ref appTerm 3851 def nil cons 3852 def cons nil cons 3853 def cons nil cons cons 175 ref subst nil 257 ref 66 ref 71 ref 3677 ref 74 ref appTerm 3854 def appTerm 3851 ref appTerm 3855 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 3855 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3854 ref nil cons 3856 def cons 3853 ref cons nil cons cons 3857 def 126 ref subst 3857 remove 194 ref subst 3854 ref betaConv 3858 def 3854 remove assume eqMp nil 3299 ref 3853 remove cons nil cons cons 3859 def 175 ref subst proveHyp 3859 ref 126 ref subst 3859 remove 194 ref subst 3850 ref 126 ref subst 3850 remove 194 ref subst 3304 remove eqMp nil 151 ref 3091 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 3292 remove cons 3860 def 153 ref 3852 remove cons nil cons 3861 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3856 remove cons 3861 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3677 remove 797 ref appTerm appTerm 3851 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3845 remove appTerm 3851 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3843 ref 3861 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3846 remove cons 850 ref cons nil cons cons 167 ref subst deductAntisym eqMp 3862 def eqMp proveHyp proveHyp eqMp nil 151 ref 3671 remove cons 850 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp 256 ref 257 ref 3595 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 3609 remove cons 153 ref 3597 remove cons nil cons 3863 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3603 remove cons 3863 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3104 ref 3596 ref appTerm absTerm appTerm nil cons cons 111 ref 3105 ref 3596 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3106 ref 3863 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 3578 remove cons 3863 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 3864 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 3865 def nil 110 ref 108 ref 3557 ref appTerm 3866 def nil cons 3867 def cons 3868 def 111 ref 108 ref 3542 ref appTerm nil cons 3869 def cons nil cons cons nil cons cons 3870 def 175 ref subst proveHyp 3870 ref 126 ref subst 3870 remove 194 ref subst nil 178 ref 3542 remove nil cons cons 3871 def nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3541 remove nil cons 3872 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3539 remove nil cons cons 3873 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 3538 remove nil cons 3874 def cons nil cons nil cons cons 146 ref subst nil 208 ref 3536 remove nil cons cons 3875 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 3535 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3532 remove nil cons 3876 def cons 3877 def 111 ref 3534 ref nil cons 3878 def cons nil cons 3879 def cons nil cons cons 3880 def 126 ref subst 3880 remove 194 ref subst nil 3868 ref 3879 ref cons nil cons cons 3881 def 175 ref subst nil 3877 remove 111 ref 71 ref 3866 ref appTerm 3534 remove appTerm 3882 def nil cons 3883 def cons nil cons 3884 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 3531 ref 39 ref appTerm 3885 def appTerm 3882 ref appTerm 3886 def absTerm 3887 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3886 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3885 ref nil cons 3888 def cons 3884 ref cons nil cons cons 3889 def 126 ref subst 3889 remove 194 ref subst 3885 ref betaConv 3885 remove assume eqMp nil 110 ref 3530 ref nil cons cons 3884 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 3529 ref 41 ref appTerm 3890 def appTerm 3882 ref appTerm 3891 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 3891 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3890 ref nil cons 3892 def cons 3884 ref cons nil cons cons 3893 def 126 ref subst 3893 remove 194 ref subst 3890 ref betaConv 3890 remove assume eqMp nil 110 ref 3528 ref nil cons cons 3884 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 3527 ref 275 ref appTerm 3894 def appTerm 3882 ref appTerm 3895 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 3895 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3894 ref nil cons 3896 def cons 3884 ref cons nil cons cons 3897 def 126 ref subst 3897 remove 194 ref subst 3894 ref betaConv 3894 remove assume eqMp nil 110 ref 3526 ref nil cons cons 3884 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 3525 ref 57 ref appTerm 3898 def appTerm 3882 ref appTerm 3899 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 3899 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3898 ref nil cons 3900 def cons 3884 ref cons nil cons cons 3901 def 126 ref subst 3901 remove 194 ref subst 3898 ref betaConv 3898 remove assume eqMp nil 110 ref 3524 remove nil cons 3902 def cons 3903 def 3884 remove cons nil cons cons 3904 def 175 ref subst proveHyp 3904 ref 126 ref subst 3904 remove 194 ref subst 3881 ref 126 ref subst 3881 remove 194 ref subst nil 3903 remove 3879 remove cons nil cons cons 175 ref subst 3545 remove 3521 ref appTerm 3905 def betaConv 3547 remove 3518 ref appTerm 3906 def betaConv 3549 remove 57 ref appTerm 3907 def betaConv 3551 remove 275 ref appTerm 3908 def betaConv 3553 remove 41 ref appTerm 3909 def betaConv 3555 remove 39 ref appTerm 3910 def betaConv 3557 remove 37 ref appTerm 3911 def betaConv nil 3868 remove 111 ref 3911 remove nil cons cons nil cons cons nil cons cons 175 ref subst 177 ref 3558 remove 180 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3559 remove cons 111 ref 3910 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3560 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3561 remove cons 111 ref 3909 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3562 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3563 remove cons 111 ref 3908 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3564 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3565 remove cons 111 ref 3907 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3566 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3567 remove cons 111 ref 3906 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3568 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3569 remove cons 111 ref 3905 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3570 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3867 remove cons 3912 def 153 ref 3878 remove cons nil cons 3913 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 3902 remove cons 153 ref 3883 remove cons nil cons 3914 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3900 remove cons 3914 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3525 ref 797 ref appTerm appTerm 3882 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3526 remove appTerm 3882 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3525 remove nil cons cons 3914 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3896 remove cons 3914 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3527 ref 797 ref appTerm appTerm 3882 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3528 remove appTerm 3882 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3527 remove nil cons cons 3914 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3892 remove cons 3914 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 3529 ref 1893 ref appTerm appTerm 3882 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3530 remove appTerm 3882 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3529 remove nil cons cons 3914 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 3888 remove cons 3914 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 3887 remove appTerm nil cons cons 111 ref 3533 remove 3882 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3531 remove nil cons cons 3914 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 3876 remove cons 3913 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3912 remove 153 ref 3869 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 3869 remove cons 111 ref 3543 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 3871 remove 180 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3872 remove cons 111 ref 3540 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3873 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3874 remove cons 111 ref 3537 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 3875 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp proveHyp proveHyp eqMp nil 151 ref 3446 remove cons 153 ref 3348 ref cons nil cons 3915 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 3422 remove cons 3916 def 153 ref 3412 ref cons nil cons 3917 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 3418 remove cons 3918 def 3917 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 1187 ref 797 ref appTerm appTerm 3919 def 3411 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 1188 ref appTerm 3920 def 3411 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 1187 remove nil cons cons 3921 def 3917 ref cons nil cons cons 811 ref subst eqMp nil 110 ref 501 ref nil cons 3922 def cons 3923 def 3413 remove cons nil cons cons 3924 def 126 ref subst 3924 remove 194 ref subst 3429 remove "_31938" 44 ref var 3925 def 71 ref 49 ref 3393 ref 3925 remove varTerm 3926 def appTerm appTerm 3395 ref 3926 remove appTerm appTerm appTerm 3041 ref appTerm absTerm 220 ref appTerm betaConv appThm 3430 remove 71 ref 49 ref 3393 ref 220 ref appTerm appTerm 3927 def 3395 ref 220 ref appTerm 3928 def appTerm appTerm 3041 ref appTerm refl appThm trans 3433 remove 501 remove assume 3929 def appThm eqMp sym 226 ref 216 ref 3379 remove 350 ref subst appThm 3930 def 3390 remove 350 ref subst 3931 def appThm 375 ref trans appThm 3399 ref appThm nil 139 ref 3348 remove cons nil cons nil cons cons 3932 def 381 ref subst trans sym 145 ref eqMp eqMp eqMp nil 151 ref 3922 remove cons 3933 def 3917 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 ref 153 ref 1188 remove nil cons cons 3934 def 1335 ref 3412 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp eqMp nil 151 ref 3409 remove cons 3935 def 3917 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 3402 remove cons 3915 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 3397 ref 797 ref appTerm appTerm 3041 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 3398 remove appTerm 3041 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3397 remove nil cons cons 3915 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp nil 151 ref 3221 remove cons 153 ref 3223 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 3220 remove 3222 ref appTerm nil cons cons 111 ref 71 ref 3222 ref appTerm 3219 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 216 ref nil 2460 ref 2441 ref cons nil cons cons 263 ref 36 ref 1147 remove appTerm 1439 remove appTerm 3936 def absTerm 3937 def 627 ref appTerm 3938 def betaConv 227 ref 68 ref 3937 ref appTerm 3939 def absTerm 3940 def 233 ref appTerm 3941 def betaConv 22 ref 68 ref 3940 ref appTerm 3942 def absTerm 3943 def 37 ref appTerm 3944 def betaConv 994 remove 22 ref 225 ref 227 ref 225 ref 263 ref 3936 remove assume sym 2800 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 2806 remove eqMp nil 110 ref 108 ref 3943 ref appTerm nil cons cons 111 ref 3944 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 178 ref 3943 remove nil cons cons 180 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3942 remove nil cons cons 111 ref 3941 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 3940 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3939 remove nil cons cons 111 ref 3938 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 3937 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp subst appThm 3399 remove appThm appThm 3219 ref refl appThm sym nil 2546 ref 2547 ref 2555 remove cons cons nil cons cons 1890 ref subst eqMp eqMp eqMp 3945 def appThm 3045 ref refl appThm sym nil 110 ref 3223 ref cons 111 ref 3045 remove nil cons 3946 def cons nil cons 3947 def cons nil cons cons 3948 def 126 ref subst 3948 remove 194 ref subst nil 151 ref 3242 ref cons 3915 remove cons nil cons cons 3949 def 167 ref subst 3949 remove 334 ref subst 216 ref nil 139 ref 3242 remove cons nil cons nil cons cons 146 ref subst 3039 remove assume eqMp appThm 216 ref 3932 remove 146 ref subst 3041 ref assume eqMp 3950 def appThm 3042 ref refl appThm nil 139 ref 3042 remove nil cons 3951 def cons nil cons nil cons cons 527 ref subst 3952 def trans appThm 3952 remove trans sym 2418 ref 216 ref 2420 remove appThm 3953 def 3950 remove appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp nil 110 ref 2393 ref 49 ref 2374 remove appTerm 3954 def 3041 remove appTerm appTerm nil cons cons 111 ref 3951 remove cons nil cons cons nil cons cons 175 ref subst proveHyp nil 3385 ref 2404 ref cons 3955 def nil cons cons 3956 def 3152 remove 3156 remove nil 3187 remove 111 ref 3155 remove nil cons cons nil cons cons nil cons cons 175 ref subst 3957 def 207 ref 208 ref 3154 remove nil cons cons 210 ref cons nil cons cons 205 ref subst 3958 def eqMp eqMp nil 110 ref 3153 remove nil cons cons 111 ref 3151 remove nil cons cons nil cons cons nil cons cons 175 ref subst 3959 def proveHyp 207 ref 208 ref 3150 remove nil cons cons 213 ref cons nil cons cons 205 ref subst 3960 def eqMp eqMp subst eqMp eqMp nil 110 ref 3043 remove nil cons cons 3947 remove cons nil cons cons 175 ref subst proveHyp 3046 ref 2361 ref appTerm 3961 def betaConv 3048 ref 2344 ref appTerm 3962 def betaConv 3050 ref 2314 ref appTerm 3963 def betaConv 3052 ref 2292 ref appTerm 3964 def betaConv nil 110 ref 3066 remove cons 111 ref 3964 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 3052 remove nil cons cons 2438 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3051 remove nil cons cons 111 ref 3963 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3050 remove nil cons cons 2404 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3049 remove nil cons cons 111 ref 3962 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 3048 remove nil cons cons 2441 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 3047 remove nil cons cons 111 ref 3961 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 3046 remove nil cons cons 2407 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 3223 remove cons 153 ref 3946 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 2747 ref 153 ref 3209 remove cons nil cons 3965 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2749 ref 3965 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 2750 ref 3206 ref appTerm absTerm appTerm nil cons cons 111 ref 2751 ref 3206 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2752 ref 3965 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2753 ref 3965 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 2754 ref 3206 remove appTerm absTerm appTerm nil cons cons 111 ref 3207 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 2755 ref 3965 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2756 ref 153 ref 3193 remove cons nil cons 3966 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2758 ref 3966 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 2759 ref 3191 ref appTerm absTerm appTerm nil cons cons 111 ref 2760 ref 3191 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2761 ref 3966 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2762 ref 3966 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 1894 ref 3191 ref appTerm absTerm appTerm nil cons cons 111 ref 1895 ref 3191 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 1896 ref 3966 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 3186 remove cons 153 ref 3188 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 3175 remove appTerm 3185 remove appTerm nil cons cons 111 ref 65 ref 3158 ref appTerm nil cons 3967 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 3158 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 3160 ref appThm 3158 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 3160 remove absThm appThm appThm nil 1024 ref 3158 remove nil cons 3968 def cons nil cons nil cons cons 1904 ref subst eqMp eqMp nil 110 ref 3967 remove cons 111 ref 3159 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 3968 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 3957 remove proveHyp 3958 remove eqMp eqMp 3959 remove proveHyp 3960 remove eqMp eqMp eqMp eqMp eqMp eqMp nil 151 ref 3116 ref cons 3969 def 3174 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 151 ref 3069 remove cons 3970 def 3174 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 151 ref 3055 remove cons 153 ref 3063 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 3971 def subst eqMp eqMp eqMp nil 99 ref 29 ref 99 ref 26 ref 65 ref 2856 ref 2857 ref 2871 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 262 ref 227 ref 99 ref 29 ref 68 ref 1170 ref 36 ref 72 ref 1218 ref appTerm 3972 def 220 ref appTerm 1181 ref appTerm appTerm 1183 remove appTerm 3973 def absTerm 3974 def appTerm 3975 def absTerm 3976 def appTerm 3977 def absTerm 3978 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 3977 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 3976 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 3975 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3974 remove nil cons cons nil cons nil cons cons 663 ref subst 1170 ref nil 139 ref 3973 remove nil cons cons nil cons nil cons cons 146 ref subst 1330 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 3978 remove appTerm thm nil 178 ref 22 ref 71 ref 1007 remove appTerm 1012 remove appTerm 3979 def absTerm 3980 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3979 remove nil cons cons nil cons nil cons cons 146 ref subst 1905 remove eqMp absThm eqMp nil 108 ref 3980 remove appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 532 ref 1151 ref appTerm 3981 def 1963 ref appTerm 3982 def 242 ref 2168 ref appTerm 3983 def appTerm 3984 def appTerm 2169 ref appTerm 3985 def absTerm 3986 def appTerm 3987 def absTerm 3988 def appTerm 3989 def absTerm 3990 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 3989 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3988 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 3987 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3986 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 3985 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref 538 ref 1968 ref appThm 1969 ref appThm 3983 ref refl 3991 def appThm appThm 2169 ref refl appThm sym nil 1001 ref 2168 ref nil cons 3992 def cons 3993 def 1971 ref 1166 ref 540 remove cons cons cons nil cons cons 2537 ref subst eqMp 3994 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 3995 def nil 68 ref 3990 remove appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 606 ref 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 3996 def appTerm 2779 ref appTerm 3997 def absTerm 3998 def appTerm 3999 def absTerm 4000 def appTerm 4001 def absTerm 4002 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 4001 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4000 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 3999 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 3998 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 3997 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref 609 ref 1968 ref appThm 1969 ref appThm 3991 ref appThm appThm 2779 ref refl appThm sym nil 3993 ref 1971 ref 1166 ref 610 remove cons cons cons nil cons cons 2537 ref subst eqMp 4003 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 4004 def nil 68 ref 4002 remove appTerm thm nil 262 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 615 ref 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 4005 def appTerm 2791 ref appTerm 4006 def absTerm 4007 def appTerm 4008 def absTerm 4009 def appTerm 4010 def absTerm 4011 def nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 4010 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4009 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 4008 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4007 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 4006 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref 618 ref 1968 ref appThm 1969 ref appThm 3991 ref appThm appThm 2791 ref refl appThm sym nil 3993 ref 1971 ref 1166 ref 619 remove cons cons cons nil cons cons 2537 ref subst eqMp 4012 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 4013 def nil 68 ref 4011 remove appTerm thm nil 262 ref 1943 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 1945 ref 39 ref appTerm 41 ref appTerm 547 ref appTerm 4014 def absTerm appTerm appTerm absTerm appTerm absTerm appTerm 4015 def absTerm 4016 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 4015 remove nil cons cons nil cons nil cons cons 146 ref subst 624 ref 29 ref 624 ref 26 ref 2161 remove 997 ref 542 ref 1953 ref 625 remove appThm 998 ref appThm 2163 ref appThm 4017 def absThm appThm appThm absThm appThm absThm appThm sym 1943 ref 68 ref 263 ref 68 ref 1001 ref 1000 ref 2165 ref 1947 ref 627 ref appTerm 1002 ref appTerm 2168 ref appTerm 4018 def absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4019 def 1944 ref appTerm 4020 def betaConv nil 68 ref 4019 ref appTerm 4021 def axiom nil 110 ref 4021 remove nil cons cons 111 ref 4020 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4019 remove nil cons cons 1952 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 69 ref 68 ref 70 ref 1000 ref 552 ref 1947 ref 76 ref appTerm 81 ref appTerm 556 ref appTerm 4022 def absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 1118 ref 725 ref 542 ref 1948 ref 39 ref appTerm 41 ref appTerm 547 ref appTerm 4023 def absTerm appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 1957 ref 2766 ref subst eqMp eqMp eqMp absThm eqMp nil 68 ref 4016 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 71 ref 49 ref 1906 ref appTerm 4024 def 58 ref appTerm appTerm 62 ref appTerm 4025 def absTerm 4026 def appTerm 4027 def absTerm 4028 def appTerm 4029 def absTerm 4030 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4029 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4028 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4027 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4026 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4025 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 999 ref appThm 4031 def 58 ref refl 4032 def appThm appThm 62 ref refl 4033 def appThm sym 25 ref nil 110 ref 3225 remove 58 ref appTerm 4034 def nil cons 4035 def cons 3641 ref cons nil cons cons 4036 def 126 ref subst 4036 remove 194 ref subst nil 3970 remove 153 ref 3085 ref cons nil cons 4037 def cons nil cons cons 4038 def 167 ref subst 4038 remove 334 ref subst 36 ref "_31866" 44 ref var 4039 def 61 ref 4039 remove varTerm appTerm absTerm 4040 def 57 ref appTerm 4041 def appTerm refl 4040 ref 55 ref appTerm betaConv appThm 155 ref 4041 remove betaConv appThm 61 ref 55 ref appTerm 4042 def refl 4043 def appThm trans 4040 remove refl 3095 ref sym 4044 def appThm eqMp sym 4045 def 3107 ref nil 3110 remove 111 ref 4042 ref nil cons 4046 def cons nil cons 4047 def cons nil cons cons 175 ref subst proveHyp 3113 remove 4043 ref appThm sym nil 257 ref 48 ref 71 ref 2201 ref appTerm 4048 def 4042 ref appTerm 4049 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4049 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 2201 ref nil cons 4050 def cons 4051 def 4047 ref cons nil cons cons 4052 def 126 ref subst 4052 remove 194 ref subst 2202 ref 2201 remove assume eqMp 4053 def nil 3117 ref 4047 ref cons nil cons cons 4054 def 175 ref subst proveHyp 4054 ref 126 ref subst 4054 remove 194 ref subst nil 3086 ref 1108 ref cons nil cons cons 4055 def 167 ref subst 4055 remove 334 ref subst 3099 remove 3095 ref appThm 2416 ref trans sym 145 ref eqMp proveHyp proveHyp eqMp nil 3969 ref 153 ref 4046 remove cons nil cons 4056 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4050 remove cons 4057 def 4056 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 2190 ref 797 ref appTerm appTerm 4058 def 4042 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2198 ref appTerm 4059 def 4042 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2196 ref 4056 remove cons nil cons cons 811 ref subst eqMp 4060 def eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 4035 remove cons 1108 ref cons nil cons cons 167 ref subst deductAntisym eqMp 4061 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4030 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 71 ref 49 ref 1911 ref appTerm 4062 def 58 ref appTerm appTerm 62 ref appTerm 4063 def absTerm 4064 def appTerm 4065 def absTerm 4066 def appTerm 4067 def absTerm 4068 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4067 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4066 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4065 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4064 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4063 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 1907 ref appThm 4069 def 4032 ref appThm appThm 4033 ref appThm sym 441 ref 4061 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4068 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 71 ref 49 ref 1915 ref appTerm 4070 def 58 ref appTerm appTerm 62 ref appTerm 4071 def absTerm 4072 def appTerm 4073 def absTerm 4074 def appTerm 4075 def absTerm 4076 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4075 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4074 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4073 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4072 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4071 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 1912 ref appThm 4077 def 4032 ref appThm appThm 4033 ref appThm sym 447 ref 4061 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4076 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 71 ref 49 ref 449 ref appTerm 4078 def 58 ref appTerm 4079 def appTerm 62 ref appTerm 4080 def absTerm 4081 def appTerm 4082 def absTerm 4083 def appTerm 4084 def absTerm 4085 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4084 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4083 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4082 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4081 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4080 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4079 remove nil cons 4086 def cons 3641 remove cons nil cons cons 4087 def 126 ref subst 4087 remove 194 ref subst nil 151 ref 449 ref nil cons 4088 def cons 4089 def 4037 ref cons nil cons cons 4090 def 167 ref subst 4090 remove 334 ref subst 4045 remove 226 ref 486 ref appThm 3073 ref appThm sym nil 110 ref 479 ref nil cons 4091 def cons 3079 ref cons nil cons cons 4092 def 126 ref subst 4092 remove 194 ref subst nil 2765 ref 153 ref 478 remove nil cons 4093 def cons nil cons cons nil cons cons 4094 def 167 ref subst 4095 def 2197 remove proveHyp eqMp nil 151 ref 4091 remove cons 4096 def 3102 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 4097 def nil 110 ref 71 ref 449 ref appTerm 4098 def 2198 ref appTerm 4099 def nil cons 4100 def cons 4047 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 4088 ref cons nil cons nil cons cons 146 ref subst 449 ref assume eqMp 4101 def appThm 3073 ref appThm 3112 remove trans appThm 4043 remove appThm sym 4060 remove eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 4086 remove cons 1108 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4085 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 2857 remove 2198 ref appTerm 4102 def absTerm 4103 def appTerm 4104 def absTerm 4105 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4104 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4103 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4102 remove nil cons cons nil cons nil cons cons 146 ref subst 2885 remove 3073 ref appThm sym 25 ref 3107 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4105 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 71 ref 1911 ref appTerm 4106 def 2198 ref appTerm 4107 def absTerm 4108 def appTerm 4109 def absTerm 4110 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4109 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4108 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4107 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 1907 remove appThm 4111 def 3073 ref appThm sym 441 ref 3107 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4110 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 71 ref 1915 remove appTerm 2198 ref appTerm 4112 def absTerm 4113 def appTerm 4114 def absTerm 4115 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4114 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4113 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4112 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 1912 remove appThm 3073 remove appThm sym 447 ref 3107 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4115 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 4099 remove absTerm 4116 def appTerm 4117 def absTerm 4118 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4117 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4116 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4100 remove cons nil cons nil cons cons 146 ref subst 4097 remove eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4118 remove appTerm thm nil 262 ref 227 ref 99 ref 29 ref 99 ref 26 ref 36 ref 448 ref 1218 remove appTerm 1078 ref 41 ref appTerm 4119 def 243 ref appTerm 4120 def appTerm 4121 def appTerm 449 ref appTerm 4122 def absTerm 4123 def appTerm 4124 def absTerm 4125 def appTerm 4126 def absTerm 4127 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 4126 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4125 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4124 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4123 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4122 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4121 ref nil cons 4128 def cons 111 ref 4088 ref cons nil cons cons nil cons cons 335 ref subst 226 ref nil 26 ref 4120 ref nil cons cons 1219 remove cons nil cons cons 486 ref subst 216 ref 217 ref nil 644 remove 1154 ref cons nil cons cons 1580 ref subst 1289 remove 1797 ref appThm trans 4129 def appThm nil 1918 ref 213 ref cons nil cons cons 1580 ref subst 456 ref 60 ref appTerm 4130 def refl 1162 ref appThm trans appThm appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 461 ref refl 4131 def 4129 remove appThm appThm 49 ref 3972 ref 74 ref appTerm 76 ref appTerm appTerm 72 ref 4120 remove appTerm 4132 def 458 ref appTerm 4133 def 464 ref appTerm 4134 def appTerm 4135 def refl 4136 def appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm trans appThm 486 ref appThm sym 226 ref 216 ref 217 ref 48 ref 52 ref 1284 ref 57 ref appTerm 4137 def appTerm 1237 ref 240 ref appTerm appTerm absTerm 4138 def 55 ref appTerm 4139 def betaConv 1241 remove 240 ref appTerm 4140 def betaConv 1244 remove nil 1245 remove 111 ref 4140 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 1246 remove 704 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 4138 ref appTerm nil cons cons 111 ref 4139 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4138 remove nil cons cons 658 ref cons nil cons cons 205 ref subst eqMp eqMp 4141 def appThm 4130 remove 240 ref appTerm refl appThm appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 4131 ref 4141 remove appThm appThm 4136 ref appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 479 ref refl appThm sym 226 ref 216 ref nil 48 ref 1130 ref cons 4142 def "p" 44 ref var 4143 def 269 ref cons 4144 def 493 ref 657 ref cons nil cons cons cons nil cons cons 48 ref 36 ref 52 ref 497 ref 4143 ref varTerm 4145 def appTerm 4146 def appTerm 1237 remove 4145 ref appTerm 4147 def appTerm appTerm 3436 ref appTerm absTerm 4148 def 57 ref appTerm 4149 def betaConv 493 ref 65 ref 4148 ref appTerm 4150 def absTerm 4151 def 496 ref appTerm 4152 def betaConv 4143 ref 65 ref 4151 ref appTerm 4153 def absTerm 4154 def 4145 ref appTerm 4155 def betaConv nil 65 ref 4154 ref appTerm 4156 def axiom nil 110 ref 4156 remove nil cons cons 111 ref 4155 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4154 remove nil cons cons 258 ref 4145 ref nil cons cons nil cons 4157 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4153 remove nil cons cons 111 ref 4152 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4151 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4150 remove nil cons cons 111 ref 4149 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4148 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 4158 def subst appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 217 ref nil 4144 ref 48 ref 511 ref cons 4159 def 495 ref cons 4160 def cons nil cons cons 4143 ref 52 ref 497 ref 4147 remove appTerm 4161 def appTerm 456 ref 498 ref appTerm 4145 ref appTerm 4162 def appTerm 4163 def absTerm 4164 def 4145 ref appTerm 4165 def betaConv 48 ref 65 ref 4164 ref appTerm 4166 def absTerm 4167 def 57 ref appTerm 4168 def betaConv 493 ref 65 ref 4167 ref appTerm 4169 def absTerm 4170 def 496 ref appTerm 4171 def betaConv nil 65 ref 4170 ref appTerm 4172 def axiom 4173 def nil 110 ref 4172 remove nil cons cons 111 ref 4171 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4170 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4169 remove nil cons cons 111 ref 4168 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4167 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4166 remove nil cons cons 111 ref 4165 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4164 remove nil cons cons 4157 ref cons nil cons cons 205 ref subst eqMp eqMp 4174 def subst appThm 4175 def 1268 remove 240 ref appTerm refl appThm nil 1778 ref 4144 ref 493 ref 457 ref 458 ref appTerm 4176 def nil cons 4177 def cons nil cons 4178 def cons cons nil cons cons 4158 ref subst trans appThm 4136 remove appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 451 ref refl 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 4175 ref 1797 remove appThm appThm 466 ref refl 4179 def appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm sym nil 110 ref 451 ref 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 52 ref 4176 ref appTerm 55 ref appTerm appTerm 4135 remove appTerm 4180 def appTerm 469 ref appTerm absTerm 4181 def appTerm 4182 def absTerm 4183 def appTerm 4184 def absTerm 4185 def appTerm 4186 def absTerm 4187 def appTerm 4188 def appTerm nil cons 4189 def cons 111 ref 451 ref 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 52 ref 456 ref 4176 ref appTerm 240 ref appTerm 4190 def appTerm 4191 def 55 ref appTerm appTerm 466 ref appTerm appTerm 469 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons 4192 def cons nil cons cons nil cons cons 4193 def 126 ref subst 4193 remove 194 ref subst nil 2765 ref 153 ref 4188 ref nil cons 4194 def cons nil cons cons nil cons cons 4195 def 167 ref subst 4195 remove 334 ref subst 2194 remove 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 4191 ref refl 2191 ref appThm appThm 4179 ref appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm nil 139 ref 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 4191 remove 60 ref appTerm appTerm 466 ref appTerm appTerm 469 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 527 ref subst trans sym 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 217 ref nil 270 ref 4178 ref cons nil cons cons 1247 ref subst appThm 2192 ref appThm appThm 4179 ref appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm sym 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 217 ref nil 4143 ref 511 remove cons 1616 ref 493 ref 269 ref cons nil cons 4196 def cons cons nil cons cons 4174 ref subst appThm 2192 ref appThm appThm 4179 remove appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 257 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 52 ref 456 ref 1285 ref appTerm 458 ref appTerm appTerm 4197 def 60 ref appTerm 4198 def appTerm 466 ref appTerm 4199 def appTerm 469 ref appTerm 4200 def absTerm 4201 def appTerm 4202 def absTerm 4203 def appTerm 4204 def absTerm 4205 def appTerm 4206 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4206 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4205 remove nil cons cons nil cons nil cons cons 662 ref subst 452 ref nil 139 ref 4204 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4203 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 4202 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4201 remove nil cons cons nil cons nil cons cons 663 ref subst 453 ref nil 139 ref 4200 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4199 remove nil cons 4207 def cons 1938 ref cons nil cons cons 4208 def 126 ref subst 4208 remove 194 ref subst nil 151 ref 4198 ref nil cons cons 153 ref 466 remove nil cons cons nil cons cons nil cons cons 4209 def 167 ref subst 4209 remove 334 ref subst nil 668 ref 153 ref 465 ref nil cons 4210 def cons nil cons 4211 def cons nil cons cons 4212 def 167 ref subst 4212 remove 334 ref subst 66 ref 47 ref 452 ref 4180 ref absTerm 4213 def appTerm 4214 def absTerm 4215 def 1285 ref appTerm betaConv sym 452 ref 49 ref 4197 remove 55 ref appTerm appTerm 49 ref 3972 ref 1285 ref appTerm 76 ref appTerm appTerm 4134 ref appTerm 4216 def appTerm absTerm 4217 def 458 ref appTerm betaConv sym 216 ref 217 ref 4198 remove assume 4218 def appThm 2191 ref appThm 2193 remove trans appThm 4216 ref refl appThm nil 139 ref 4216 remove nil cons cons nil cons nil cons cons 527 ref subst trans sym 216 ref 3972 ref refl 1222 remove 493 ref 52 ref 1284 ref 496 ref appTerm 4219 def appTerm 1223 ref appTerm 4220 def absTerm 4221 def 496 ref appTerm 4222 def betaConv 224 ref 493 ref 4220 remove assume sym 1224 ref 4219 remove appTerm 4223 def assume sym deductAntisym absThm appThm 224 ref 493 ref 1224 remove refl 1233 remove 1247 ref subst appThm absThm appThm 1230 remove eqMp 4224 def eqMp nil 110 ref 65 ref 4221 ref appTerm nil cons cons 111 ref 4222 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4221 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp subst 4225 def appThm 1697 remove appThm 1172 remove 1296 ref subst 833 ref trans trans appThm 4134 ref refl appThm nil 139 ref 4134 ref nil cons 4226 def cons nil cons nil cons cons 527 ref subst trans sym "w'" 11 ref var 4227 def 71 ref 1596 ref 458 ref appTerm 4228 def 60 ref appTerm 4229 def appTerm 4230 def 36 ref 4133 remove 4227 ref varTerm 4231 def appTerm appTerm 463 ref 4231 ref appTerm appTerm appTerm absTerm 4232 def 464 ref appTerm 4233 def betaConv 66 ref 68 ref 4227 remove 71 ref 1597 remove 60 ref appTerm 4234 def appTerm 4235 def 36 ref 4132 remove 74 ref appTerm 4231 ref appTerm appTerm 80 ref 4231 remove appTerm appTerm appTerm absTerm appTerm absTerm 4236 def 458 ref appTerm 4237 def betaConv 1111 ref 65 ref 66 ref 68 ref 227 ref 4235 remove 36 ref 72 ref 4119 ref 1113 remove appTerm appTerm 74 ref appTerm 233 ref appTerm appTerm 1657 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 4238 def 243 ref appTerm 4239 def betaConv 1775 remove 41 ref appTerm 4240 def betaConv 1831 ref nil 1833 remove 111 ref 4240 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1777 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 4238 ref appTerm nil cons cons 111 ref 4239 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4238 remove nil cons cons 1154 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 4236 ref appTerm nil cons cons 111 ref 4237 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4236 remove nil cons cons 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 4232 ref appTerm nil cons cons 111 ref 4233 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4232 remove nil cons cons 263 ref 1924 ref cons nil cons 4241 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4230 remove 36 ref 4134 ref appTerm 465 ref appTerm 4242 def appTerm 4243 def nil cons cons 111 ref 4226 ref cons nil cons 4244 def cons nil cons cons 175 ref subst proveHyp 4228 ref refl 4245 def 4218 remove sym appThm sym 4245 remove 1288 ref 4225 remove appThm 458 ref refl appThm nil 4160 remove nil cons cons 4246 def 3378 ref subst trans appThm nil 48 ref 4177 remove cons 512 ref cons nil cons cons 48 ref 36 ref 1605 remove 309 ref appTerm appTerm 1617 remove appTerm absTerm 4247 def 57 ref appTerm 4248 def betaConv 493 ref 65 ref 4247 ref appTerm 4249 def absTerm 4250 def 496 ref appTerm 4251 def betaConv nil 65 ref 4250 ref appTerm 4252 def axiom nil 110 ref 4252 remove nil cons cons 111 ref 4251 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4250 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4249 remove nil cons cons 111 ref 4248 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4247 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp subst nil 494 remove 4159 ref nil cons cons nil cons cons nil 139 ref 1608 remove 498 ref appTerm 4253 def nil cons cons nil cons nil cons cons 146 ref subst 48 ref 4253 remove absTerm 4254 def 57 ref appTerm 4255 def betaConv 493 ref 65 ref 4254 ref appTerm 4256 def absTerm 4257 def 496 ref appTerm 4258 def betaConv nil 65 ref 4257 ref appTerm 4259 def axiom nil 110 ref 4259 remove nil cons cons 111 ref 4258 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4257 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4256 remove nil cons cons 111 ref 4255 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4254 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst trans trans sym 145 ref eqMp eqMp nil 110 ref 4229 ref nil cons cons 4260 def 111 ref 71 ref 4242 ref appTerm 4134 ref appTerm 4261 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 4242 ref nil cons 4262 def cons 4244 remove cons nil cons cons 4263 def 126 ref subst 4263 remove 194 ref subst 4242 remove assume sym 465 ref assume 4264 def eqMp eqMp nil 151 ref 4262 ref cons 153 ref 4226 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 49 ref 4229 ref appTerm 4261 remove appTerm nil cons cons 111 ref 71 ref 4243 remove appTerm 4134 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 4226 remove cons 111 ref 4262 remove cons 4260 remove nil cons cons cons nil cons cons nil 110 ref 116 remove 1347 ref appTerm nil cons 4265 def cons 111 ref 71 ref 115 remove appTerm 1341 remove appTerm nil cons 4266 def cons nil cons cons nil cons cons 4267 def 126 ref subst 4267 remove 194 ref subst nil 327 remove 111 ref 2247 ref cons nil cons 4268 def cons nil cons cons 4269 def 126 ref subst 4269 remove 194 ref subst nil 152 remove 153 ref 1347 remove nil cons cons nil cons cons nil cons cons 4270 def 167 ref subst 175 ref proveHyp 169 remove eqMp nil 330 remove 4268 remove cons nil cons cons 175 ref subst proveHyp 4270 remove 334 ref subst eqMp eqMp nil 332 remove 153 ref 2247 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 4265 remove cons 153 ref 4266 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 4271 def subst eqMp eqMp eqMp eqMp eqMp 256 ref 257 ref 4217 remove nil cons cons 3785 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 4215 ref nil cons cons 4272 def 258 ref 1285 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 4215 ref appTerm 4273 def nil cons 4274 def cons 4275 def 1938 ref cons nil cons cons 4276 def 175 ref subst proveHyp 4276 ref 126 ref subst 4276 remove 194 ref subst nil 110 ref 4194 ref cons 4277 def 1938 ref cons nil cons cons 4278 def 175 ref subst nil 4275 remove 111 ref 71 ref 4188 remove appTerm 469 ref appTerm 4279 def nil cons 4280 def cons nil cons 4281 def cons nil cons cons 175 ref subst nil 257 ref 66 ref 71 ref 4215 ref 74 ref appTerm 4282 def appTerm 4279 ref appTerm 4283 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4283 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4282 ref nil cons 4284 def cons 4281 ref cons nil cons cons 4285 def 126 ref subst 4285 remove 194 ref subst 4282 ref betaConv 4282 remove assume eqMp nil 110 ref 4214 ref nil cons cons 4281 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 452 ref 71 ref 4213 ref 458 ref appTerm 4286 def appTerm 4279 ref appTerm 4287 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 452 ref nil 139 ref 4287 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4286 ref nil cons 4288 def cons 4281 ref cons nil cons cons 4289 def 126 ref subst 4289 remove 194 ref subst 4286 ref betaConv 4286 remove assume eqMp nil 110 ref 4180 remove nil cons 4290 def cons 4291 def 4281 remove cons nil cons cons 4292 def 175 ref subst proveHyp 4292 ref 126 ref subst 4292 remove 194 ref subst 4278 ref 126 ref subst 4278 remove 194 ref subst nil 4291 remove 1938 ref cons nil cons cons 175 ref subst 4181 ref 464 ref appTerm 4293 def betaConv 4183 ref 76 ref appTerm 4294 def betaConv 4185 ref 458 ref appTerm 4295 def betaConv 4187 ref 74 ref appTerm 4296 def betaConv nil 4277 remove 111 ref 4296 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 4187 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4186 remove nil cons cons 111 ref 4295 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4185 remove nil cons cons 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4184 remove nil cons cons 111 ref 4294 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4183 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4182 remove nil cons cons 111 ref 4293 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4181 remove nil cons cons 4241 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4194 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 4290 remove cons 153 ref 4280 remove cons nil cons 4297 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4288 remove cons 4297 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4213 ref 797 ref appTerm appTerm 4279 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4214 remove appTerm 4279 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4213 remove nil cons cons 4297 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 4284 remove cons 4297 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4215 remove 797 ref appTerm appTerm 4279 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4273 remove appTerm 4279 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4272 remove 4297 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4274 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 4207 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 4189 remove cons 153 ref 4192 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 110 ref 71 ref 4121 ref appTerm 449 ref appTerm nil cons cons 111 ref 4098 remove 4121 remove appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 4088 remove cons 111 ref 4128 ref cons nil cons 4298 def cons nil cons cons 4299 def 126 ref subst 4299 remove 194 ref subst 216 ref 1942 remove appThm 4101 remove appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 1916 remove appTerm 449 remove appTerm nil cons cons 4298 remove cons nil cons cons 175 ref subst proveHyp nil 1440 ref 267 ref cons 1441 ref 211 ref cons 1442 ref 209 ref cons 1445 remove cons cons cons nil cons cons 226 ref 216 ref nil 1456 ref 1452 ref cons nil cons cons 486 ref subst appThm nil 1448 ref 1460 ref cons nil cons cons 486 ref subst appThm appThm 1469 remove 486 ref subst 216 ref 217 ref 1581 ref appThm 1590 remove appThm appThm 224 ref 66 ref 224 ref 452 ref 225 ref 69 ref 225 ref 453 ref 226 ref 216 ref 4131 ref 1581 remove appThm appThm 1516 remove 1517 ref 458 ref appTerm 4300 def 464 ref appTerm 4301 def appTerm 4302 def refl appThm appThm 520 ref appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm trans appThm sym nil 110 ref 49 ref 49 ref 1471 ref 1494 ref appTerm 4303 def appTerm 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 461 ref 1470 ref appTerm appTerm 1478 ref 1499 remove 458 ref appTerm 464 ref appTerm appTerm appTerm appTerm 469 ref appTerm absTerm appTerm absTerm appTerm absTerm 4304 def appTerm 4305 def absTerm 4306 def appTerm 4307 def appTerm 4308 def appTerm 49 ref 1492 ref 1473 ref appTerm 4309 def appTerm 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 461 ref 1491 ref appTerm appTerm 1498 remove 1479 remove 458 ref appTerm 4310 def 464 ref appTerm 4311 def appTerm appTerm appTerm 469 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4312 def appTerm 4313 def appTerm 4314 def appTerm nil cons 4315 def cons 111 ref 49 ref 52 ref 1689 remove 1491 ref appTerm 4316 def appTerm 1710 remove 1494 ref appTerm 4317 def appTerm 4318 def appTerm 65 ref 66 ref 65 ref 452 ref 68 ref 69 ref 68 ref 453 ref 71 ref 49 ref 461 ref 4316 ref appTerm 4319 def appTerm 4302 ref appTerm 4320 def appTerm 469 ref appTerm 4321 def absTerm 4322 def appTerm 4323 def absTerm 4324 def appTerm 4325 def absTerm 4326 def appTerm 4327 def absTerm 4328 def appTerm 4329 def appTerm nil cons 4330 def cons nil cons cons nil cons cons 4331 def 126 ref subst 4331 remove 194 ref subst nil 151 ref 4308 remove nil cons cons 153 ref 4314 remove nil cons cons nil cons cons nil cons cons 4332 def 167 ref subst 4332 remove 334 ref subst nil 151 ref 4303 ref nil cons cons 153 ref 4307 remove nil cons 4333 def cons nil cons cons nil cons cons 4334 def 167 ref subst 4334 remove 334 ref subst nil 151 ref 4309 ref nil cons cons 153 ref 4313 remove nil cons 4335 def cons nil cons cons nil cons cons 4336 def 167 ref subst 4336 remove 334 ref subst 217 ref 1288 ref 4303 remove assume appThm 4309 remove assume 4337 def appThm appThm 4317 remove refl appThm sym nil 48 ref 1473 ref nil cons 4338 def cons 4339 def 493 ref 1494 remove nil cons cons nil cons cons nil cons cons 1247 ref subst eqMp nil 110 ref 4318 remove nil cons cons 111 ref 4329 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 4328 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4327 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4326 remove nil cons cons nil cons nil cons cons 662 ref subst 452 ref nil 139 ref 4325 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4324 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 4323 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4322 remove nil cons cons nil cons nil cons cons 663 ref subst 453 ref nil 139 ref 4321 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4320 remove nil cons 4340 def cons 1938 ref cons nil cons cons 4341 def 126 ref subst 4341 remove 194 ref subst nil 151 ref 4319 ref nil cons 4342 def cons 153 ref 4302 remove nil cons cons nil cons cons nil cons cons 4343 def 167 ref subst 4343 remove 334 ref subst nil 151 ref 1515 ref nil cons 4344 def cons 153 ref 4301 ref nil cons 4345 def cons nil cons cons nil cons cons 4346 def 167 ref subst 4346 remove 334 ref subst nil 110 ref 308 ref 1756 ref appTerm 4347 def nil cons 4348 def cons 1938 ref cons nil cons cons 4349 def 126 ref subst 4349 remove 194 ref subst nil 110 ref 4342 remove cons 4350 def 1938 ref cons nil cons cons 175 ref subst nil 48 ref 1470 ref nil cons 4351 def cons 495 ref cons nil cons cons 4352 def 1615 remove subst nil 1616 remove 493 ref 4351 remove cons nil cons 4353 def cons nil cons cons 1626 remove subst trans 4347 remove assume eqMp nil 110 ref 47 ref 1618 ref 294 remove 1690 ref appTerm 4354 def absTerm 4355 def appTerm 4356 def nil cons cons 111 ref 71 ref 4319 remove appTerm 4357 def 469 ref appTerm 4358 def nil cons 4359 def cons nil cons 4360 def cons nil cons cons 175 ref subst proveHyp nil 257 ref 1618 ref 71 ref 4355 ref 1619 ref appTerm 4361 def appTerm 4358 ref appTerm 4362 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1618 ref nil 139 ref 4362 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4361 ref nil cons 4363 def cons 4360 ref cons nil cons cons 4364 def 126 ref subst 4364 remove 194 ref subst 4361 ref betaConv 4361 remove assume eqMp nil 110 ref 4354 ref nil cons 4365 def cons 4360 remove cons nil cons cons 4366 def 175 ref subst proveHyp 4366 ref 126 ref subst 4366 remove 194 ref subst 36 ref "_31892" 44 ref var 4367 def 71 ref 52 ref 456 ref 4367 remove varTerm appTerm 460 ref appTerm appTerm 4316 ref appTerm appTerm 469 ref appTerm absTerm 4368 def 74 ref appTerm 4369 def appTerm refl 4368 ref 1690 ref appTerm betaConv appThm 155 ref 4369 remove betaConv appThm 71 ref 52 ref 456 ref 1690 ref appTerm 460 ref appTerm appTerm 4316 ref appTerm appTerm 469 ref appTerm refl appThm trans 4368 remove refl 4354 remove assume 4370 def appThm eqMp sym 226 ref 217 ref nil 4143 ref 460 ref nil cons 4371 def cons 48 ref 1653 ref cons 4372 def 4353 ref cons cons nil cons cons 4143 ref 52 ref 4162 remove appTerm 4161 remove appTerm 4373 def absTerm 4374 def 4145 ref appTerm 4375 def betaConv 48 ref 65 ref 4374 ref appTerm 4376 def absTerm 4377 def 57 ref appTerm 4378 def betaConv 493 ref 65 ref 4377 ref appTerm 4379 def absTerm 4380 def 496 ref appTerm 4381 def betaConv 224 ref 493 ref 224 ref 48 ref 224 ref 4143 ref 4373 remove assume sym 4163 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 4173 remove eqMp nil 110 ref 65 ref 4380 ref appTerm nil cons cons 111 ref 4381 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4380 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4379 remove nil cons cons 111 ref 4378 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4377 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4376 remove nil cons cons 111 ref 4375 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4374 remove nil cons cons 4157 ref cons nil cons cons 205 ref subst eqMp eqMp 4382 def subst appThm 4316 remove refl appThm nil 4143 ref 1491 ref nil cons 4383 def cons 4384 def 48 ref 456 ref 1619 ref appTerm 4385 def 460 remove appTerm 4386 def nil cons cons 4353 remove cons cons nil cons cons 4143 ref 36 ref 499 remove 4146 remove appTerm appTerm 276 ref 4145 ref appTerm appTerm absTerm 4387 def 4145 remove appTerm 4388 def betaConv 48 ref 65 ref 4387 ref appTerm 4389 def absTerm 4390 def 57 ref appTerm 4391 def betaConv 493 ref 65 ref 4390 ref appTerm 4392 def absTerm 4393 def 496 ref appTerm 4394 def betaConv nil 65 ref 4393 ref appTerm 4395 def axiom nil 110 ref 4395 remove nil cons cons 111 ref 4394 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4393 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4392 remove nil cons cons 111 ref 4391 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4390 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4389 remove nil cons cons 111 ref 4388 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4387 remove nil cons cons 4157 remove cons nil cons cons 205 ref subst eqMp eqMp 4396 def subst trans appThm 520 ref appThm sym nil 110 ref 52 ref 4386 ref appTerm 4397 def 1491 ref appTerm 4398 def nil cons 4399 def cons 1938 ref cons nil cons cons 4400 def 126 ref subst 4400 remove 194 ref subst 36 ref "_31902" 44 ref var 4401 def 1513 remove 4401 remove varTerm appTerm 76 ref appTerm absTerm 4402 def 74 ref appTerm 4403 def appTerm refl 4402 ref 1690 remove appTerm betaConv appThm 155 ref 4403 remove betaConv appThm 1691 ref refl appThm trans 4402 remove refl 4370 remove appThm eqMp 1515 remove assume 4404 def eqMp nil 110 ref 1691 remove nil cons cons 1938 ref cons nil cons cons 175 ref subst proveHyp 226 ref 1688 remove appThm 520 ref appThm sym nil 110 ref 1692 ref nil cons 4405 def cons 1938 ref cons nil cons cons 4406 def 126 ref subst 4406 remove 194 ref subst 227 ref 71 ref 4228 remove 1473 ref appTerm 4407 def appTerm 4408 def 36 ref 4300 remove 233 ref appTerm appTerm 4310 remove 233 ref appTerm appTerm appTerm absTerm 4409 def 464 ref appTerm 4410 def betaConv 1854 remove 458 ref appTerm 4411 def betaConv 1859 remove nil 1860 remove 111 ref 4411 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 1861 remove 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 4409 ref appTerm nil cons cons 111 ref 4410 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4409 remove nil cons cons 4241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4408 remove 36 ref 4301 ref appTerm 4311 ref appTerm 4412 def appTerm 4413 def nil cons cons 1938 ref cons nil cons cons 175 ref subst proveHyp nil 4339 remove 512 ref cons nil cons cons 48 ref 1780 ref 47 ref 1618 ref 276 ref 497 ref 300 ref 1619 ref appTerm 4414 def appTerm appTerm absTerm appTerm appTerm absTerm 4415 def 57 ref appTerm 4416 def betaConv 493 ref 65 ref 4415 ref appTerm 4417 def absTerm 4418 def 496 ref appTerm 4419 def betaConv nil 65 ref 4418 ref appTerm 4420 def axiom 4421 def nil 110 ref 4420 remove nil cons cons 111 ref 4419 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4418 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4417 remove nil cons cons 111 ref 4416 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4415 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 4422 def subst sym 1618 ref 1474 remove 459 ref 4414 ref appTerm 4423 def appTerm absTerm 4424 def 1619 ref appTerm betaConv sym 36 ref "_31906" 44 ref var 4425 def 52 ref 4425 remove varTerm appTerm 4423 ref appTerm absTerm 4426 def 1473 remove appTerm 4427 def appTerm refl 4426 ref 1491 ref appTerm betaConv 4428 def appThm 155 ref 4427 remove betaConv appThm 1492 remove 4423 ref appTerm refl appThm trans 4426 remove refl 4429 def 4337 ref sym appThm eqMp sym 36 ref "_31908" 44 ref var 4430 def 52 ref 4430 remove varTerm appTerm 4423 ref appTerm absTerm 4431 def 1491 ref appTerm appTerm refl 4431 remove 4386 remove appTerm betaConv appThm 155 ref 4428 remove appThm 4397 remove 4423 remove appTerm refl appThm trans 4429 remove 4398 ref assume 4432 def sym appThm eqMp sym 217 ref nil 4144 ref 4159 remove 493 ref 1653 remove cons nil cons 4433 def cons 4434 def cons nil cons cons 4174 ref subst appThm 491 remove nil 4433 ref nil cons cons 1231 ref subst 4435 def appThm nil 4144 ref 4372 remove 512 ref cons cons nil cons cons 4174 remove subst trans appThm nil 48 ref 459 remove 1619 ref appTerm nil cons cons 4144 remove 493 ref 4385 ref 458 ref appTerm 4436 def nil cons cons nil cons cons cons nil cons cons 4158 remove subst trans sym nil 4434 remove nil cons cons 4437 def 1247 ref subst eqMp eqMp eqMp eqMp 256 ref 257 ref 4424 remove nil cons cons 1723 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 110 ref 4407 ref nil cons cons 4438 def 111 ref 71 ref 4412 ref appTerm 469 ref appTerm 4439 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 155 ref nil 139 ref 4345 remove cons nil cons nil cons cons 146 ref subst 4301 remove assume 4440 def eqMp appThm 4311 ref refl appThm nil 139 ref 4311 ref nil cons 4441 def cons nil cons nil cons cons 4442 def 2148 ref subst trans appThm 520 ref appThm sym nil 110 ref 4441 ref cons 1938 ref cons nil cons cons 4443 def 126 ref subst 4443 remove 194 ref subst 216 ref 217 ref 4432 remove 4337 ref trans appThm 4337 ref appThm nil 258 ref 4338 remove cons nil cons nil cons cons 489 ref subst trans appThm 216 ref nil 139 ref 4405 ref cons nil cons nil cons cons 146 ref subst 1692 remove assume eqMp appThm 4442 remove 146 ref subst 4311 ref assume eqMp appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 4398 remove appTerm 1706 remove 4311 remove appTerm appTerm 4444 def nil cons cons 1938 ref cons nil cons cons 175 ref subst proveHyp 453 ref 71 ref 4444 remove appTerm 469 ref appTerm absTerm 4445 def 464 ref appTerm 4446 def betaConv 69 ref 68 ref 4445 ref appTerm 4447 def absTerm 4448 def 76 ref appTerm 4449 def betaConv 452 ref 68 ref 4448 ref appTerm 4450 def absTerm 4451 def 458 ref appTerm 4452 def betaConv 4312 ref 1619 ref appTerm 4453 def betaConv nil 110 ref 4335 remove cons 111 ref 4453 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 4312 remove nil cons cons 1723 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 4451 ref appTerm nil cons cons 111 ref 4452 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4451 remove nil cons cons 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4450 remove nil cons cons 111 ref 4449 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4448 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4447 remove nil cons cons 111 ref 4446 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4445 remove nil cons cons 4241 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4441 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 110 ref 49 ref 4407 remove appTerm 4439 remove appTerm nil cons cons 111 ref 71 ref 4413 remove appTerm 469 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 521 ref cons 111 ref 4412 remove nil cons cons 4438 remove nil cons cons cons nil cons cons 4271 ref subst eqMp eqMp eqMp nil 151 ref 4405 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 4399 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 4365 remove cons 153 ref 4359 remove cons nil cons 4454 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4363 remove cons 4454 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4355 ref 797 ref appTerm appTerm 4358 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4356 remove appTerm 4358 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4355 remove nil cons cons 4454 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4348 ref cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 1756 ref nil cons 4455 def cons 1938 ref cons nil cons cons 4456 def 126 ref subst 4456 remove 194 ref subst 1834 remove nil 1836 remove 1938 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 4455 ref cons nil cons nil cons cons 146 ref subst 1756 ref assume 4457 def eqMp appThm 155 ref nil 139 ref 4344 remove cons nil cons nil cons cons 146 ref subst 4404 remove eqMp appThm 1477 ref refl appThm nil 139 ref 1477 ref nil cons 4458 def cons nil cons nil cons cons 4459 def 2148 ref subst trans appThm 4459 ref 840 ref subst trans appThm 520 ref appThm sym nil 4350 remove 111 ref 71 ref 1477 ref appTerm 469 ref appTerm 4460 def nil cons 4461 def cons nil cons 4462 def cons nil cons cons 175 ref subst 4352 remove 4422 ref subst 4457 remove eqMp nil 110 ref 47 ref 1618 ref 1471 remove 457 ref 4414 ref appTerm 4463 def appTerm 4464 def absTerm 4465 def appTerm 4466 def nil cons cons 111 ref 4357 remove 4460 ref appTerm 4467 def nil cons 4468 def cons nil cons 4469 def cons nil cons cons 175 ref subst proveHyp nil 257 ref 1618 ref 71 ref 4465 ref 1619 ref appTerm 4470 def appTerm 4467 ref appTerm 4471 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 1618 ref nil 139 ref 4471 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4470 ref nil cons 4472 def cons 4469 ref cons nil cons cons 4473 def 126 ref subst 4473 remove 194 ref subst 4470 ref betaConv 4470 remove assume eqMp nil 110 ref 4464 ref nil cons 4474 def cons 4469 remove cons nil cons cons 4475 def 175 ref subst proveHyp 4475 ref 126 ref subst 4475 remove 194 ref subst 36 ref "_31872" 44 ref var 4476 def 71 ref 461 ref 456 ref 4476 remove varTerm appTerm 1491 ref appTerm appTerm appTerm 4460 ref appTerm absTerm 4477 def 1470 ref appTerm 4478 def appTerm refl 4477 ref 4463 ref appTerm betaConv appThm 155 ref 4478 remove betaConv appThm 71 ref 461 ref 456 ref 4463 ref appTerm 1491 ref appTerm appTerm appTerm 4460 ref appTerm refl appThm trans 4477 remove refl 4464 remove assume 4479 def appThm eqMp sym 226 ref 4131 ref nil 4384 remove 48 ref 4414 ref nil cons cons 4480 def 495 ref cons cons nil cons cons 4382 remove subst appThm nil 4143 remove 456 ref 4414 remove appTerm 4481 def 1491 ref appTerm nil cons cons 48 ref 4371 remove cons 495 remove cons cons nil cons cons 4396 remove subst trans appThm 4460 remove refl 4482 def appThm sym 226 ref 217 ref nil 512 ref nil cons cons 2096 ref subst appThm nil 48 ref 4383 remove cons 4433 remove cons nil cons cons 4483 def 3378 ref subst appThm nil 48 ref 4385 ref 1491 remove appTerm 4484 def nil cons cons 512 ref cons nil cons cons 3443 ref subst trans appThm 4482 ref appThm sym nil 110 ref 513 remove 4484 ref appTerm 4485 def nil cons 4486 def cons 4462 ref cons nil cons cons 4487 def 126 ref subst 4487 remove 194 ref subst 36 ref "_31886" 44 ref var 4488 def 1517 ref 4488 remove varTerm appTerm 464 ref appTerm absTerm 4489 def 458 ref appTerm 4490 def appTerm refl 4489 ref 4484 ref appTerm betaConv appThm 155 ref 4490 remove betaConv appThm 1517 remove 4484 remove appTerm 464 ref appTerm 4491 def refl appThm trans 4489 remove refl 4485 remove assume appThm eqMp 4440 remove eqMp nil 110 ref 4491 remove nil cons cons 4462 ref cons nil cons cons 175 ref subst proveHyp 226 ref 1729 ref 4483 remove 1247 ref subst appThm 464 ref refl 4492 def appThm appThm 4482 ref appThm sym 226 ref 1729 remove 1288 ref 4337 remove appThm 1696 remove appThm appThm 4492 remove appThm nil 227 ref 1924 remove cons 1654 remove 1589 remove cons cons nil cons cons 1687 remove subst trans appThm 4482 remove appThm sym nil 110 ref 1712 remove 464 ref appTerm 4493 def nil cons 4494 def cons 4462 remove cons nil cons cons 4495 def 126 ref subst 4495 remove 194 ref subst nil 110 ref 4458 ref cons 1938 ref cons nil cons cons 4496 def 126 ref subst 4496 remove 194 ref subst 36 ref "_31890" 44 ref var 4497 def 49 ref 52 ref 457 ref 4385 remove 240 ref appTerm appTerm 4498 def appTerm 4499 def 4497 remove varTerm appTerm appTerm 1478 remove 4493 ref appTerm 4500 def appTerm absTerm 4501 def 1470 ref appTerm 4502 def appTerm refl 4501 ref 4463 ref appTerm betaConv appThm 155 ref 4502 remove betaConv appThm 49 ref 4499 ref 4463 ref appTerm appTerm 4500 ref appTerm refl appThm trans 4501 remove refl 4479 remove appThm eqMp sym 216 ref 4499 ref refl 490 remove 4435 remove appThm appThm nil 258 ref 4498 remove nil cons cons nil cons nil cons cons 489 ref subst trans appThm 216 ref 4459 remove 146 ref subst 1477 remove assume eqMp appThm nil 139 ref 4494 ref cons nil cons nil cons cons 146 ref subst 4493 remove assume eqMp appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp nil 110 ref 49 ref 4499 remove 1470 remove appTerm appTerm 4500 remove appTerm 4503 def nil cons cons 1938 remove cons nil cons cons 175 ref subst proveHyp 453 ref 71 ref 4503 remove appTerm 469 ref appTerm absTerm 4504 def 464 ref appTerm 4505 def betaConv 69 ref 68 ref 4504 ref appTerm 4506 def absTerm 4507 def 76 ref appTerm 4508 def betaConv 4304 ref 1619 remove appTerm 4509 def betaConv 4306 ref 74 ref appTerm 4510 def betaConv nil 110 ref 4333 remove cons 111 ref 4510 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 4306 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4305 remove nil cons cons 111 ref 4509 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4304 remove nil cons cons 1723 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 4507 ref appTerm nil cons cons 111 ref 4508 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4507 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4506 remove nil cons cons 111 ref 4505 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4504 remove nil cons cons 4241 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4458 remove cons 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 4494 remove cons 153 ref 4461 remove cons nil cons 4511 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 151 ref 4486 remove cons 4511 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 151 ref 4474 remove cons 153 ref 4468 remove cons nil cons 4512 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4472 remove cons 4512 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4465 ref 797 ref appTerm appTerm 4467 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4466 remove appTerm 4467 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4465 remove nil cons cons 4512 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp eqMp nil 151 ref 4455 ref cons 4513 def 1941 ref cons nil cons cons 167 ref subst deductAntisym eqMp 1881 ref 1756 remove appTerm 4514 def betaConv 1884 ref nil 1885 ref 111 ref 4514 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 1886 ref 347 ref 4455 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 4513 remove 153 ref 4348 remove cons 1335 ref 521 ref cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 4340 remove cons 1941 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 4315 remove cons 153 ref 4330 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 4515 def subst eqMp eqMp nil 4089 remove 153 ref 4128 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 4127 remove appTerm thm nil 262 ref 227 ref 65 ref 66 ref 68 ref 1170 ref 36 ref 72 ref 243 ref appTerm 74 ref appTerm 1181 ref appTerm appTerm 1184 remove appTerm 4516 def absTerm 4517 def appTerm 4518 def absTerm 4519 def appTerm 4520 def absTerm 4521 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 4520 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4519 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4518 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4517 remove nil cons cons nil cons nil cons cons 663 ref subst 1170 ref nil 139 ref 4516 remove nil cons cons nil cons nil cons cons 146 ref subst 1351 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 4521 remove appTerm thm 224 ref 48 ref 224 ref 271 ref 225 ref 227 ref 155 ref nil 66 ref 290 ref cons 4522 def 29 ref "Hardware.Bus.ground" const 1 ref 44 ref 206 remove cons opType constTerm 4523 def 57 ref appTerm 4524 def nil cons 4525 def cons nil cons 4526 def cons nil cons cons 266 ref subst nil 268 remove 271 ref 269 ref cons 4522 remove nil cons 4527 def cons cons nil cons cons 29 ref 36 ref 235 ref 4524 ref appTerm 74 ref appTerm 275 ref appTerm 39 ref appTerm appTerm 49 ref 1607 ref 457 remove 275 ref appTerm appTerm 57 ref appTerm appTerm 279 remove 4523 ref 275 ref appTerm appTerm appTerm appTerm absTerm 4528 def 39 ref appTerm 4529 def betaConv 271 ref 99 ref 4528 ref appTerm 4530 def absTerm 4531 def 275 ref appTerm 4532 def betaConv 66 ref 65 ref 4531 ref appTerm 4533 def absTerm 4534 def 74 ref appTerm 4535 def betaConv 48 ref 65 ref 4534 ref appTerm 4536 def absTerm 4537 def 57 ref appTerm 4538 def betaConv nil 65 ref 4537 ref appTerm 4539 def axiom nil 110 ref 4539 remove nil cons cons 111 ref 4538 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4537 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4536 remove nil cons cons 111 ref 4535 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4534 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4533 remove nil cons cons 111 ref 4532 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4531 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4530 remove nil cons cons 111 ref 4529 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4528 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp subst trans 216 ref 1795 remove nil 493 ref 290 remove cons nil cons nil cons cons 4540 def 2096 ref subst 4541 def appThm 222 ref appThm 4540 remove 2099 remove subst trans appThm 352 remove refl nil 278 ref 4523 ref 240 ref appTerm appTerm 242 ref "Hardware.ground" const 11 ref constTerm 4542 def appTerm appTerm axiom 4543 def appThm nil 671 ref 4542 ref nil cons 4544 def cons 676 ref 264 ref cons nil cons cons nil cons cons 1329 remove subst trans appThm trans appThm 49 ref 1596 remove 275 ref appTerm 57 ref appTerm appTerm 1383 remove 4542 ref appTerm appTerm 4545 def refl appThm nil 347 ref 4545 ref nil cons cons nil cons nil cons cons 1333 ref subst trans absThm appThm 390 ref trans absThm appThm 392 ref trans absThm appThm 392 ref trans sym 145 ref eqMp nil 65 ref 48 ref 65 ref 271 ref 68 ref 227 ref 36 ref 72 ref 4524 ref appTerm 275 ref appTerm 233 ref appTerm appTerm 4545 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 624 ref 29 ref 624 ref 26 ref 155 ref 224 ref 2856 ref 4106 ref refl 4546 def 2856 ref 2862 ref 2865 ref 456 ref 2866 ref appTerm 240 ref appTerm 4547 def appTerm appTerm 4548 def 2870 ref appTerm 4549 def absTerm 4550 def 2866 ref appTerm betaConv 4551 def appThm absThm appThm appThm 4546 remove 224 ref 2856 ref 4551 remove absThm appThm appThm appThm nil 2874 ref 4550 ref nil cons cons 110 ref 1911 remove nil cons cons nil cons cons nil cons cons 2884 ref subst eqMp 4111 remove 65 ref 4550 remove appTerm 4552 def refl appThm trans absThm appThm absThm appThm sym 216 ref 224 ref 2856 ref 2907 ref nil 2856 ref 4547 ref nil cons cons 4553 def nil cons nil cons cons 2856 ref 3025 ref "Data.List.[]" const 2860 ref constTerm 4554 def appTerm absTerm 4555 def 2866 ref appTerm 4556 def betaConv nil 65 ref 4555 ref appTerm 4557 def axiom nil 110 ref 4557 remove nil cons cons 111 ref 4556 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4555 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp 4558 def subst appThm 4558 ref appThm nil 2887 ref 4554 ref nil cons 4559 def cons nil cons nil cons cons 2893 ref subst 4560 def trans absThm appThm 392 remove trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 71 ref 49 ref 437 remove 2292 ref appTerm 2344 ref appTerm 4561 def appTerm 4562 def 49 ref 438 remove 2314 ref appTerm 2361 ref appTerm 4563 def appTerm 4564 def 65 ref 2856 ref 2862 ref 2898 remove 4547 ref appTerm 4565 def appTerm 2900 ref appTerm 4566 def absTerm 4567 def appTerm 4568 def appTerm 4569 def appTerm 4570 def appTerm 4571 def refl 224 ref 2856 ref 2907 ref nil 4553 remove 2909 remove cons nil cons cons 2926 ref subst appThm 2929 ref appThm nil 2932 remove 2936 remove 2937 ref 4565 remove nil cons cons 2939 ref 2940 remove 4547 ref appTerm 4572 def nil cons cons nil cons cons cons cons nil cons cons 2972 ref subst trans absThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm nil 139 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 4571 ref 65 ref 2856 ref 49 ref 36 ref 4572 remove appTerm 2934 ref appTerm 4573 def appTerm 4574 def 4566 remove appTerm 4575 def absTerm 4576 def appTerm 4577 def appTerm 4578 def absTerm 4579 def appTerm 4580 def absTerm 4581 def appTerm 4582 def absTerm 4583 def appTerm 4584 def absTerm 4585 def appTerm nil cons cons nil cons nil cons cons 527 ref subst trans sym nil 262 ref 4585 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 4584 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4583 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 4582 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 4581 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 4580 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4579 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 4578 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4570 remove nil cons 4586 def cons 111 ref 4577 remove nil cons 4587 def cons nil cons cons nil cons cons 4588 def 126 ref subst 4588 remove 194 ref subst nil 151 ref 4561 remove nil cons 4589 def cons 153 ref 4569 remove nil cons cons nil cons cons nil cons cons 4590 def 167 ref subst 4590 remove 334 ref subst nil 151 ref 4563 remove nil cons cons 153 ref 4568 remove nil cons 4591 def cons nil cons cons nil cons cons 334 ref subst nil 257 ref 4576 remove nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 4575 remove nil cons cons nil cons nil cons cons 146 ref subst 4574 remove refl 2907 ref 4567 ref 2866 ref appTerm 4592 def betaConv nil 110 ref 4591 remove cons 111 ref 4592 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 4567 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp appThm 2993 remove appThm 2994 remove trans appThm nil 139 ref 4573 remove nil cons 4593 def cons nil cons nil cons cons 397 ref subst trans sym nil 110 ref 4589 remove cons 111 ref 4593 remove cons nil cons cons nil cons cons 175 ref subst 2997 remove 2856 ref 71 ref 1908 remove appTerm 36 ref 2999 remove 4547 ref appTerm appTerm 3001 ref appTerm appTerm absTerm 4594 def 2866 ref appTerm 4595 def betaConv 263 ref 65 ref 4594 ref appTerm 4596 def absTerm 4597 def 627 ref appTerm 4598 def betaConv 1001 ref 68 ref 4597 ref appTerm 4599 def absTerm 4600 def 1002 ref appTerm 4601 def betaConv nil 68 ref 263 ref 68 ref 1001 ref 4596 ref absTerm 4602 def appTerm 4603 def absTerm 4604 def appTerm 4605 def axiom nil 110 ref 4605 remove nil cons 4606 def cons 4607 def 111 ref 68 ref 4600 ref appTerm nil cons 4608 def cons nil cons cons nil cons cons 4609 def 175 ref subst proveHyp 4609 ref 126 ref subst 4609 remove 194 ref subst nil 262 ref 4600 remove nil cons cons 4610 def nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 4599 remove nil cons 4611 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4597 remove nil cons cons 4612 def nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 4596 remove nil cons 4613 def cons nil cons nil cons cons 146 ref subst 4602 ref 1002 ref appTerm 4614 def betaConv 4604 ref 627 ref appTerm 4615 def betaConv nil 4607 remove 111 ref 4615 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 4604 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4603 remove nil cons cons 111 ref 4614 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 4602 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 4606 remove cons 153 ref 4608 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 4608 remove cons 111 ref 4601 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4610 remove 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4611 remove cons 111 ref 4598 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4612 remove 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4613 remove cons 111 ref 4595 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4594 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 4586 remove cons 153 ref 4587 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 65 ref 2856 ref 2862 ref 2888 remove 4547 ref appTerm appTerm 2889 ref appTerm absTerm appTerm appTerm 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 4571 remove 65 ref 2856 ref 2862 ref 3027 remove 4547 remove appTerm appTerm 3029 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 71 ref 1910 remove appTerm 4616 def 4552 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 29 ref 26 ref 4552 remove absTerm 4617 def absTerm 4618 def 20 ref appTerm betaConv 21 ref appThm 26 ref 65 ref 2856 ref 4548 ref 2889 ref appTerm absTerm appTerm absTerm 20 ref appTerm betaConv trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 226 ref 4562 ref refl 4619 def 4564 remove refl 4618 ref 2314 ref appTerm betaConv 3034 ref appThm 26 ref 65 ref 2856 ref 4548 ref 2900 ref appTerm absTerm appTerm absTerm 2361 ref appTerm betaConv trans appThm appThm appThm 4618 ref 2322 ref appTerm betaConv 3035 ref appThm 26 ref 65 ref 2856 ref 4548 remove 3029 ref appTerm absTerm appTerm absTerm 2369 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 624 ref 29 ref 624 ref 26 ref 4616 remove refl 4618 ref 39 ref appTerm betaConv 998 ref appThm 4617 remove 41 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm nil 3036 ref 4618 remove nil cons cons 440 remove cons nil cons cons 3971 ref subst eqMp eqMp eqMp nil 99 ref 29 ref 99 ref 26 ref 65 ref 2856 ref 4106 remove 4549 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 208 ref 29 ref 65 ref 48 ref 99 ref 26 ref 71 ref 59 ref 1906 remove appTerm appTerm 4620 def 2783 remove 4524 ref appTerm 41 ref appTerm appTerm 4621 def absTerm 4622 def appTerm 4623 def absTerm 4624 def appTerm 4625 def absTerm 4626 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4625 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 4624 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4623 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4622 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4621 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 59 ref refl 4627 def 999 remove appThm appThm 4628 def 2776 remove 4524 ref refl 4629 def appThm 998 ref appThm 611 ref nil 110 ref 308 ref 2189 ref appTerm nil cons 4630 def cons 4631 def 111 ref 36 ref 546 ref 4524 ref appTerm 41 ref appTerm 4632 def appTerm 59 ref 16 ref 263 ref 1001 ref 544 ref 627 ref appTerm 4633 def 4542 ref appTerm 1002 ref appTerm absTerm absTerm 4634 def appTerm 4635 def 39 ref appTerm 41 ref appTerm 4636 def appTerm 4637 def appTerm 4638 def nil cons 4639 def cons nil cons cons nil cons cons 4640 def 126 ref subst 4640 remove 194 ref subst nil 110 ref 4632 ref nil cons 4641 def cons 4642 def 111 ref 4637 ref nil cons 4643 def cons nil cons 4644 def cons nil cons cons 4645 def 335 ref subst 4645 ref 126 ref subst 4645 remove 194 ref subst nil 4642 remove 111 ref 47 ref "n'" 44 ref var 4646 def 49 ref 56 ref 4646 ref varTerm 4647 def appTerm 4648 def appTerm 4649 def 49 ref 52 ref 54 ref 4524 ref appTerm appTerm 4650 def 4647 ref appTerm appTerm 61 ref 4647 ref appTerm 4651 def appTerm appTerm absTerm 4652 def appTerm 4653 def nil cons 4654 def cons nil cons cons nil cons cons 175 ref subst nil 542 ref 211 remove cons 4655 def 26 ref 4525 ref cons 4656 def nil cons 4657 def cons nil cons cons 226 ref 596 ref appThm 47 ref 48 ref 59 ref 63 ref 550 ref appTerm 4658 def appTerm 4659 def absTerm 4660 def appTerm 4661 def refl 4662 def appThm sym nil 257 ref 48 ref 71 ref 574 ref 57 ref appTerm 4663 def appTerm 4664 def 4661 ref appTerm 4665 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4665 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4663 ref nil cons 4666 def cons 4667 def 111 ref 4661 ref nil cons 4668 def cons nil cons 4669 def cons nil cons cons 4670 def 126 ref subst 4670 remove 194 ref subst 4663 ref betaConv 4663 remove assume eqMp 4671 def nil 110 ref 573 remove nil cons 4672 def cons 4673 def 4669 remove cons nil cons cons 4674 def 175 ref subst proveHyp 4674 ref 126 ref subst 4674 remove 194 ref subst nil 3086 ref 153 ref 572 remove nil cons cons nil cons cons nil cons cons 4675 def 167 ref subst 4676 def 4675 remove 334 ref subst 4677 def nil 3090 ref 153 ref 571 remove nil cons cons nil cons cons nil cons cons 4678 def 167 ref subst 4679 def 4678 remove 334 ref subst 4680 def nil 151 ref 550 ref nil cons 4681 def cons 153 ref 570 ref nil cons 4682 def cons nil cons 4683 def cons nil cons cons 4684 def 167 ref subst 4685 def 4660 ref 57 ref appTerm 4686 def betaConv 4687 def sym 3098 ref 216 ref 3100 remove appThm 4688 def 217 ref 550 ref assume appThm 4689 def 222 ref appThm 2416 ref trans 4690 def appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 4660 ref nil cons 4691 def cons 4692 def 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 4672 remove cons 4693 def 153 ref 4668 ref cons nil cons 4694 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4666 remove cons 4695 def 4694 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 574 ref 797 ref appTerm appTerm 4696 def 4661 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 575 ref appTerm 4697 def 4661 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 574 ref nil cons cons 4698 def 4694 remove cons nil cons cons 811 ref subst eqMp eqMp 4699 def subst eqMp nil 110 ref 4654 remove cons 4644 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 493 ref 71 ref 4652 ref 496 ref appTerm 4700 def appTerm 4637 ref appTerm 4701 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 4701 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4700 ref nil cons 4702 def cons 4644 ref cons nil cons cons 4703 def 126 ref subst 4703 remove 194 ref subst 4700 ref betaConv 4700 remove assume eqMp nil 110 ref 3605 ref 49 ref 4650 ref 496 ref appTerm appTerm 3606 ref appTerm appTerm nil cons cons 4644 ref cons nil cons cons 175 ref subst proveHyp 226 ref 3605 ref refl 216 ref 217 ref 48 ref 4650 remove 57 ref appTerm absTerm 4704 def 57 ref appTerm 4705 def betaConv nil 65 ref 4704 ref appTerm 4706 def axiom nil 110 ref 4706 remove nil cons cons 111 ref 4705 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4704 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 4707 def appThm 496 ref refl 4708 def appThm appThm 3606 ref refl 4709 def appThm appThm appThm 4637 ref refl appThm sym nil 110 ref 3605 ref 49 ref 276 ref 496 ref appTerm 4710 def appTerm 3606 ref appTerm 4711 def appTerm nil cons 4712 def cons 4644 remove cons nil cons cons 4713 def 126 ref subst 4713 remove 194 ref subst nil 3612 ref 153 ref 4711 remove nil cons 4714 def cons nil cons cons nil cons cons 4715 def 167 ref subst 4715 remove 334 ref subst nil 151 ref 4710 ref nil cons cons 153 ref 3613 remove cons nil cons 4716 def cons nil cons cons 4717 def 167 ref subst 4718 def 4717 remove 334 ref subst 4719 def nil 4631 remove 322 ref cons nil cons cons 175 ref subst 4720 def nil 139 ref 4630 ref cons nil cons nil cons cons 139 ref 36 ref 1290 remove 315 ref appTerm appTerm 1300 ref appTerm absTerm 4721 def 142 ref appTerm 4722 def betaConv nil 343 ref 4721 ref appTerm 4723 def axiom nil 110 ref 4723 remove nil cons cons 111 ref 4722 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 4721 remove nil cons cons 358 ref cons nil cons cons 205 ref subst eqMp eqMp 4724 def subst nil 139 ref 3116 ref cons nil cons nil cons cons 139 ref 36 ref 308 ref 1300 remove appTerm appTerm 142 ref appTerm absTerm 4725 def 142 remove appTerm 4726 def betaConv nil 343 ref 4725 ref appTerm 4727 def axiom nil 110 ref 4727 remove nil cons cons 111 ref 4726 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 4725 remove nil cons cons 358 remove cons nil cons cons 205 ref subst eqMp eqMp 4728 def subst trans 4729 def 216 ref 217 ref 1019 remove assume appThm 4730 def 4710 remove assume 4731 def appThm nil 509 ref nil cons cons 489 ref subst 4732 def trans appThm 217 ref 3606 ref assume 4733 def appThm 4734 def 4731 ref appThm 4732 ref trans 4735 def appThm 528 ref trans trans sym 145 ref eqMp eqMp nil 151 ref 4643 ref cons 4736 def nil cons nil cons cons 348 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 4712 remove cons 153 ref 4643 ref cons nil cons 4737 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 4702 remove cons 4737 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4652 ref 797 ref appTerm appTerm 4637 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4653 remove appTerm 4637 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4652 remove nil cons cons 4737 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 4641 ref cons 4738 def 4737 remove cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 71 ref 4632 ref appTerm 4637 ref appTerm nil cons cons 111 ref 71 ref 4637 remove appTerm 4632 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 4643 remove cons 111 ref 4641 ref cons nil cons 4739 def cons nil cons cons 4740 def 126 ref subst 4740 remove 194 ref subst nil 3086 ref 153 ref 4636 ref nil cons 4741 def cons nil cons cons nil cons cons 4742 def 167 ref subst 4742 remove 334 ref subst nil 110 ref 4741 remove cons 3079 ref cons nil cons cons 175 ref subst nil 22 ref 4634 ref nil cons cons nil cons nil cons cons 4743 def 3107 ref subst eqMp nil 2200 ref 4739 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 493 ref 71 ref 2190 remove 496 ref appTerm 4744 def appTerm 4745 def 4632 ref appTerm 4746 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 4746 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4744 ref nil cons 4747 def cons 4748 def 4739 ref cons nil cons cons 4749 def 126 ref subst 4749 remove 194 ref subst 4744 ref betaConv 4744 remove assume eqMp 4750 def nil 110 ref 3605 ref 3606 ref appTerm nil cons 4751 def cons 4752 def 4739 ref cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 3096 ref 4708 ref appThm appThm 4709 ref appThm appThm 4632 ref refl appThm sym nil 110 ref 4714 ref cons 4739 remove cons nil cons cons 4753 def 126 ref subst 4753 remove 194 ref subst 4718 remove 4719 remove 4720 remove 4729 remove 216 ref 217 ref 3095 ref 4731 ref trans appThm 4731 remove appThm 4732 ref trans appThm 4735 remove appThm 528 ref trans trans sym 145 ref eqMp eqMp nil 4738 remove nil cons nil cons cons 348 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 4714 remove cons 153 ref 4641 remove cons nil cons 4754 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 4747 remove cons 4755 def 4754 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4058 ref 4632 ref appTerm absTerm appTerm nil cons cons 111 ref 4059 ref 4632 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2196 ref 4754 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 4736 remove 4754 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 4630 ref cons 153 ref 4639 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 26 ref 2207 ref 4638 ref appTerm absTerm 4756 def 41 ref appTerm 4757 def betaConv 29 ref 99 ref 4756 ref appTerm 4758 def absTerm 4759 def 39 ref appTerm 4760 def betaConv 48 ref 99 ref 4759 ref appTerm 4761 def absTerm 4762 def 57 ref appTerm 4763 def betaConv 4764 def nil 208 ref 29 ref 99 ref 26 ref 2220 ref 36 ref 546 ref 4523 ref 220 ref appTerm 4765 def appTerm 41 ref appTerm appTerm 4766 def 2218 ref 4636 ref appTerm appTerm appTerm 4767 def absTerm 4768 def appTerm 4769 def absTerm 4770 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4769 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4768 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4767 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 3166 ref 2250 ref appThm appThm 4771 def 4766 ref refl 3166 ref 4636 ref refl 4772 def appThm appThm appThm sym nil 110 ref 3168 ref 2251 remove appTerm nil cons 4773 def cons 4774 def 111 ref 4766 remove 3168 ref 4636 ref appTerm appTerm nil cons 4775 def cons nil cons cons nil cons cons 4776 def 126 ref subst 4776 remove 194 ref subst nil 1064 ref 153 ref 2261 remove cons nil cons cons nil cons cons 4777 def 167 ref subst 4778 def 4777 remove 334 ref subst 4779 def 155 ref 545 ref refl 1063 ref appThm nil 278 ref 4765 remove appTerm 20 ref appTerm axiom 4780 def appThm 2269 ref appThm 601 remove trans appThm 216 ref 278 ref refl 1063 ref appThm 21 ref appThm 232 remove 3500 ref subst trans appThm 4635 ref refl 1063 ref appThm 2269 ref appThm 4743 ref 434 ref subst trans appThm 528 ref trans appThm 383 remove 2148 remove subst 4781 def trans sym 145 ref eqMp proveHyp proveHyp eqMp nil 151 ref 4773 remove cons 4782 def 153 ref 4775 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 4770 remove appTerm 4783 def nil cons cons 111 ref 65 ref 48 ref 71 ref 4761 ref appTerm 99 ref 29 ref 99 ref 26 ref 2274 ref 36 ref 546 remove 4523 ref 309 ref appTerm 4784 def appTerm 41 ref appTerm appTerm 4785 def 2272 ref 4636 ref appTerm appTerm 4786 def appTerm 4787 def absTerm 4788 def appTerm 4789 def absTerm 4790 def appTerm 4791 def appTerm 4792 def absTerm 4793 def appTerm 4794 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 4793 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4792 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4761 remove nil cons 4795 def cons 4796 def 111 ref 4791 remove nil cons 4797 def cons nil cons cons nil cons cons 4798 def 126 ref subst 4798 remove 194 ref subst nil 208 ref 4790 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4789 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 4788 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4787 remove nil cons cons nil cons nil cons cons 146 ref subst nil 1340 ref 4786 remove nil cons cons 2289 ref cons nil cons cons 2249 ref subst 1095 ref 2290 ref 4785 ref refl 216 ref 1094 ref appThm 4772 remove appThm appThm appThm appThm trans sym nil 262 ref 2291 ref 2294 ref 2299 ref 4785 remove 49 ref 1087 remove appTerm 4636 remove appTerm appTerm appTerm 4799 def appTerm 4800 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 4800 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2303 ref 111 ref 4799 ref nil cons 4801 def cons nil cons 4802 def cons nil cons cons 4803 def 126 ref subst 4803 remove 194 ref subst 2307 ref nil 2312 ref 4802 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2313 ref 2316 ref 4799 ref appTerm 4804 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 4804 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2319 ref 4802 ref cons nil cons cons 4805 def 126 ref subst 4805 remove 194 ref subst 2321 ref nil 2328 ref 4802 remove cons nil cons cons 4806 def 175 ref subst proveHyp 4806 ref 126 ref subst 4806 remove 194 ref subst 2332 ref 2333 ref 36 ref "_32122" 2 ref var 4807 def 2299 ref 36 ref 545 ref 4807 remove varTerm 4808 def appTerm 4784 ref appTerm 41 ref appTerm appTerm 49 ref 1000 ref 227 ref 725 ref 26 ref 49 ref 278 ref 4808 ref appTerm 1080 ref appTerm appTerm 62 ref appTerm absTerm appTerm absTerm appTerm appTerm 4635 ref 4808 remove appTerm 41 ref appTerm appTerm appTerm appTerm absTerm 4809 def 39 ref appTerm 4810 def appTerm refl 4809 ref 2322 ref appTerm betaConv appThm 155 ref 4810 remove betaConv appThm 2299 ref 36 ref 2337 ref 4784 remove appTerm 4811 def 41 ref appTerm appTerm 49 ref 1000 ref 227 ref 725 ref 26 ref 49 ref 278 ref 2322 ref appTerm 1080 ref appTerm appTerm 62 ref appTerm absTerm appTerm absTerm appTerm appTerm 4812 def 4635 ref 2322 ref appTerm 4813 def 41 ref appTerm appTerm appTerm 4814 def appTerm 4815 def refl appThm trans 4809 remove refl 2342 ref appThm eqMp sym nil 262 ref 2343 ref 2346 ref 4814 ref appTerm 4816 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 4816 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2349 ref 111 ref 4814 ref nil cons 4817 def cons nil cons 4818 def cons nil cons cons 4819 def 126 ref subst 4819 remove 194 ref subst 2353 ref nil 2359 ref 4818 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2360 ref 2363 ref 4814 ref appTerm 4820 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 4820 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2366 ref 4818 ref cons nil cons cons 4821 def 126 ref subst 4821 remove 194 ref subst 2368 ref nil 2376 ref 4818 remove cons nil cons cons 4822 def 175 ref subst proveHyp 4822 ref 126 ref subst 4822 remove 194 ref subst 2382 ref 2383 ref 36 ref "_32126" 2 ref var 4823 def 36 ref 4811 ref 4823 remove varTerm 4824 def appTerm appTerm 4812 ref 4813 ref 4824 remove appTerm appTerm appTerm absTerm 4825 def 41 ref appTerm 4826 def appTerm refl 4825 ref 2369 ref appTerm betaConv appThm 155 ref 4826 remove betaConv appThm 36 ref 4811 remove 2369 ref appTerm appTerm 4812 remove 4813 remove 2369 ref appTerm appTerm 4827 def appTerm refl appThm trans 4825 remove refl 2392 ref appThm eqMp sym 155 ref 2337 ref refl 4828 def 4523 ref refl 4829 def nil 3740 remove nil cons 4830 def nil cons cons 4831 def 493 ref 4223 remove absTerm 4832 def 496 ref appTerm 4833 def betaConv 4224 remove nil 110 ref 65 ref 4832 ref appTerm nil cons cons 111 ref 4833 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4832 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp subst appThm appThm 3035 ref appThm appThm 4827 remove refl appThm sym 155 ref 4828 remove nil 4196 ref nil cons cons 48 ref 278 ref 4523 ref 498 ref appTerm appTerm 1078 ref 4523 ref 496 ref appTerm appTerm 4524 ref appTerm appTerm absTerm 4834 def 57 ref appTerm 4835 def betaConv 493 ref 65 ref 4834 ref appTerm 4836 def absTerm 4837 def 496 ref appTerm 4838 def betaConv nil 65 ref 4837 ref appTerm 4839 def axiom nil 110 ref 4839 remove nil cons cons 111 ref 4838 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4837 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4836 remove nil cons cons 111 ref 4835 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4834 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 4840 def subst 1078 ref refl 4543 remove appThm 4841 def 4629 ref appThm trans appThm 3035 ref appThm nil 2423 ref 2405 remove cons 2445 ref 2439 remove cons 2360 ref 4525 remove cons 2343 ref 4544 ref cons nil cons cons cons cons nil cons cons nil 110 ref 2542 ref cons 111 ref 49 ref 2451 remove appTerm 4842 def 2429 ref appTerm 4843 def nil cons 4844 def cons nil cons cons nil cons cons 4845 def 335 ref subst 4845 ref 126 ref subst 4845 remove 194 ref subst 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 548 ref appTerm 4846 def 3226 remove 49 ref 3227 remove appTerm 555 remove 2446 ref appTerm 4847 def appTerm 4848 def appTerm 4849 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4850 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 2339 ref appTerm 4851 def 3230 ref 4848 remove appTerm 4852 def appTerm absTerm appTerm absTerm appTerm absTerm 4853 def 2369 ref appTerm betaConv sym 542 ref 47 ref 66 ref 49 ref 2388 ref appTerm 4854 def 3230 ref 49 ref 3233 remove appTerm 4855 def 4847 remove appTerm appTerm 4856 def appTerm absTerm appTerm absTerm 4857 def 2457 ref appTerm betaConv sym 66 ref 49 ref 2541 ref appTerm 4858 def 3230 remove 4855 remove 72 ref 2457 ref appTerm 74 ref appTerm 2446 ref appTerm appTerm appTerm 4859 def appTerm absTerm 4860 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 2542 ref cons nil cons nil cons cons 146 ref subst 2541 ref assume eqMp 4861 def appThm 4862 def 3238 remove 216 ref 3239 remove appThm nil 1170 ref 2458 ref cons 29 ref 2544 ref cons 4863 def 227 ref 2458 ref cons nil cons 4864 def cons 4865 def cons nil cons cons 1330 ref subst nil 263 ref 2458 ref cons nil cons 4866 def nil cons cons 1388 ref subst trans appThm 528 ref trans appThm 528 ref trans 4867 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 4860 remove nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 4857 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 4853 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 4850 ref nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 4850 remove appTerm nil cons cons 111 ref 2452 remove cons nil cons 4868 def cons nil cons cons 175 ref subst proveHyp nil 3243 ref 3244 ref 552 ref 2458 ref cons 4869 def nil cons cons cons nil cons cons 552 ref 71 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 4846 ref 559 ref appTerm 4870 def absTerm 4871 def appTerm 4872 def absTerm 4873 def appTerm 4874 def absTerm 4875 def appTerm 4876 def absTerm 4877 def appTerm 4878 def appTerm 4879 def 562 ref appTerm 4880 def absTerm 4881 def 556 ref appTerm 4882 def betaConv 70 ref 68 ref 4881 ref appTerm 4883 def absTerm 4884 def 81 ref appTerm 4885 def betaConv 69 ref 68 ref 4884 ref appTerm 4886 def absTerm 4887 def 76 ref appTerm 4888 def betaConv 539 ref 68 ref 4887 ref appTerm 4889 def absTerm 4890 def 544 ref appTerm 4891 def betaConv nil 592 ref 539 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 4870 ref appTerm 562 ref appTerm 4892 def absTerm 4893 def appTerm 4894 def absTerm 4895 def appTerm 4896 def absTerm 4897 def appTerm 4898 def absTerm 4899 def appTerm 4900 def absTerm 4901 def appTerm 4902 def absTerm 4903 def appTerm 4904 def absTerm 4905 def appTerm 4906 def absTerm 4907 def nil cons cons 4908 def nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 4906 remove nil cons 4909 def cons nil cons nil cons cons 146 ref subst nil 208 ref 4905 ref nil cons cons 4910 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4904 remove nil cons 4911 def cons nil cons nil cons cons 146 ref subst nil 208 ref 4903 ref nil cons cons 4912 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4902 remove nil cons 4913 def cons nil cons nil cons cons 146 ref subst nil 208 ref 4901 ref nil cons cons 4914 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 4900 remove nil cons 4915 def cons nil cons nil cons cons 146 ref subst nil 257 ref 4899 ref nil cons cons 4916 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4898 remove nil cons 4917 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4897 ref nil cons cons 4918 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 4896 remove nil cons 4919 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4895 ref nil cons cons 4920 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 4894 remove nil cons 4921 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4893 ref nil cons cons 4922 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 4892 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 596 ref appThm 4923 def 559 ref refl 4924 def appThm appThm 599 remove appThm sym nil 110 ref 49 ref 575 ref appTerm 4925 def 559 ref appTerm nil cons 4926 def cons 2500 ref cons nil cons cons 4927 def 126 ref subst 4927 remove 194 ref subst nil 151 ref 575 ref nil cons 4928 def cons 4929 def 153 ref 559 ref nil cons 4930 def cons nil cons cons nil cons cons 4931 def 167 ref subst 4931 remove 334 ref subst nil 110 ref 4928 ref cons 4932 def 2500 ref cons nil cons cons 175 ref subst nil 257 ref 48 ref 4664 ref 562 ref appTerm 4933 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 4933 remove nil cons cons nil cons nil cons cons 146 ref subst nil 4667 ref 2500 ref cons nil cons cons 4934 def 126 ref subst 4934 remove 194 ref subst 4671 ref nil 4673 ref 2500 ref cons nil cons cons 4935 def 175 ref subst proveHyp 4935 ref 126 ref subst 4935 remove 194 ref subst 4677 ref 4680 ref 4684 remove 334 ref subst 4936 def nil 110 ref 4930 ref cons 4937 def 2500 ref cons nil cons cons 175 ref subst 563 ref 556 ref appTerm 4938 def betaConv 565 ref 81 ref appTerm 4939 def betaConv 567 ref 76 ref appTerm 4940 def betaConv 569 ref 74 ref appTerm 4941 def betaConv nil 110 ref 4682 ref cons 4942 def 111 ref 4941 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 569 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 568 remove nil cons cons 111 ref 4940 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 567 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 566 remove nil cons cons 111 ref 4939 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 565 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 564 remove nil cons cons 111 ref 4938 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 563 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp 4943 def proveHyp proveHyp proveHyp eqMp nil 4693 ref 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 4695 ref 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4696 ref 562 ref appTerm absTerm appTerm nil cons cons 111 ref 4697 ref 562 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4698 ref 2527 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 4926 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 4944 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 4945 def nil 110 ref 588 ref 4907 ref appTerm 4946 def nil cons 4947 def cons 4948 def 111 ref 588 ref 4890 ref appTerm nil cons 4949 def cons nil cons cons nil cons cons 4950 def 175 ref subst proveHyp 4950 ref 126 ref subst 4950 remove 194 ref subst nil 592 ref 4890 remove nil cons cons 4951 def nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 4889 remove nil cons 4952 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4887 remove nil cons cons 4953 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 4886 remove nil cons 4954 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4884 remove nil cons cons 4955 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 4883 remove nil cons 4956 def cons nil cons nil cons cons 146 ref subst nil 262 ref 4881 remove nil cons cons 4957 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 4880 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4878 remove nil cons 4958 def cons 4959 def 2500 ref cons nil cons cons 4960 def 126 ref subst 4960 remove 194 ref subst nil 4948 ref 2500 ref cons nil cons cons 4961 def 175 ref subst nil 4959 remove 111 ref 71 ref 4946 ref appTerm 562 ref appTerm 4962 def nil cons 4963 def cons nil cons 4964 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 4877 ref 39 ref appTerm 4965 def appTerm 4962 ref appTerm 4966 def absTerm 4967 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 4966 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4965 ref nil cons 4968 def cons 4964 ref cons nil cons cons 4969 def 126 ref subst 4969 remove 194 ref subst 4965 ref betaConv 4965 remove assume eqMp nil 110 ref 4876 ref nil cons cons 4964 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 4875 ref 41 ref appTerm 4970 def appTerm 4962 ref appTerm 4971 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4971 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4970 ref nil cons 4972 def cons 4964 ref cons nil cons cons 4973 def 126 ref subst 4973 remove 194 ref subst 4970 ref betaConv 4970 remove assume eqMp nil 110 ref 4874 ref nil cons cons 4964 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 4873 ref 547 ref appTerm 4974 def appTerm 4962 ref appTerm 4975 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 4975 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4974 ref nil cons 4976 def cons 4964 ref cons nil cons cons 4977 def 126 ref subst 4977 remove 194 ref subst 4974 ref betaConv 4974 remove assume eqMp nil 110 ref 4872 ref nil cons cons 4964 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 4871 ref 74 ref appTerm 4978 def appTerm 4962 ref appTerm 4979 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 4979 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4978 ref nil cons 4980 def cons 4964 ref cons nil cons cons 4981 def 126 ref subst 4981 remove 194 ref subst 4978 ref betaConv 4978 remove assume eqMp nil 110 ref 4870 remove nil cons 4982 def cons 4983 def 4964 remove cons nil cons cons 4984 def 175 ref subst proveHyp 4984 ref 126 ref subst 4984 remove 194 ref subst 4961 ref 126 ref subst 4961 remove 194 ref subst nil 4983 remove 2500 ref cons nil cons cons 175 ref subst 4893 remove 556 ref appTerm 4985 def betaConv 4895 remove 81 ref appTerm 4986 def betaConv 4897 remove 76 ref appTerm 4987 def betaConv 4899 remove 74 ref appTerm 4988 def betaConv 4901 remove 547 ref appTerm 4989 def betaConv 4903 remove 41 ref appTerm 4990 def betaConv 4905 remove 39 ref appTerm 4991 def betaConv 4907 remove 544 ref appTerm 4992 def betaConv nil 4948 remove 111 ref 4992 remove nil cons cons nil cons cons nil cons cons 175 ref subst 591 ref 4908 remove 593 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4909 remove cons 111 ref 4991 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 4910 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4911 remove cons 111 ref 4990 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 4912 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4913 remove cons 111 ref 4989 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 4914 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4915 remove cons 111 ref 4988 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4916 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4917 remove cons 111 ref 4987 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4918 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4919 remove cons 111 ref 4986 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4920 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4921 remove cons 111 ref 4985 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4922 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4947 remove cons 4993 def 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 4982 remove cons 153 ref 4963 remove cons nil cons 4994 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 4980 remove cons 4994 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4871 ref 797 ref appTerm appTerm 4962 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4872 remove appTerm 4962 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 4871 remove nil cons cons 4994 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 4976 remove cons 4994 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 4873 ref 1893 ref appTerm appTerm 4962 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4874 remove appTerm 4962 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4873 remove nil cons cons 4994 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 4972 remove cons 4994 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 4875 ref 1893 ref appTerm appTerm 4962 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4876 remove appTerm 4962 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4875 remove nil cons cons 4994 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 4968 remove cons 4994 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 4967 remove appTerm nil cons cons 111 ref 4879 remove 4962 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4877 remove nil cons cons 4994 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 4958 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4993 remove 153 ref 4949 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 4949 remove cons 111 ref 4891 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 591 ref 4951 remove 593 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4952 remove cons 111 ref 4888 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4953 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4954 remove cons 111 ref 4885 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4955 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4956 remove cons 111 ref 4882 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 4957 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 2453 remove 111 ref 2430 ref cons nil cons 4995 def cons nil cons cons 194 ref subst 4996 def proveHyp 542 ref 71 ref 2388 remove appTerm 4997 def 47 ref 48 ref 3352 ref 49 ref 3363 remove appTerm 4998 def 550 ref appTerm appTerm 4999 def absTerm appTerm appTerm absTerm 5000 def 2457 ref appTerm 5001 def betaConv 26 ref 99 ref 542 ref 71 ref 2339 ref appTerm 5002 def 47 ref 48 ref 3352 ref 4658 ref appTerm 5003 def absTerm appTerm appTerm absTerm appTerm absTerm 5004 def 2369 ref appTerm 5005 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 548 ref appTerm 5006 def 4661 ref appTerm 5007 def absTerm 5008 def appTerm 5009 def absTerm 5010 def appTerm 5011 def absTerm 5012 def 2322 ref appTerm 5013 def betaConv nil 208 ref 5012 ref nil cons cons 5014 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5011 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5010 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5009 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5008 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5007 remove nil cons 5015 def cons nil cons nil cons cons 146 ref subst 4699 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5016 def nil 110 ref 99 ref 5012 remove appTerm 5017 def nil cons 5018 def cons 111 ref 5013 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5014 remove 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 5004 ref appTerm nil cons cons 111 ref 5005 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5004 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 5000 ref appTerm nil cons cons 111 ref 5001 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5000 remove nil cons cons 2744 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 2541 ref appTerm 5019 def 47 ref 48 ref 3352 remove 4998 remove 52 ref 54 ref 2457 ref appTerm appTerm 57 ref appTerm appTerm appTerm 5020 def absTerm appTerm appTerm nil cons cons 4995 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 4861 remove appThm 215 ref 48 ref 3384 remove 216 ref 3391 remove appThm 217 ref nil 26 ref 2544 ref cons 29 ref 2549 remove cons nil cons cons 5021 def nil cons cons 1580 ref subst 1288 ref nil 4864 remove nil cons cons 1162 ref subst 5022 def 306 ref trans appThm 54 ref 2424 ref appTerm 5023 def refl appThm nil 48 ref 5023 ref nil cons 5024 def cons 5025 def 3370 ref cons nil cons cons 3378 ref subst 305 ref nil 5025 remove nil cons nil cons cons 5026 def 3383 ref subst appThm trans trans trans appThm 222 ref appThm appThm appThm 5027 def absThm appThm appThm nil 139 ref 47 ref 48 ref 3394 remove 49 ref 3396 remove appTerm 52 ref 300 ref 5023 ref appTerm appTerm 5028 def 57 ref appTerm appTerm appTerm 5029 def absTerm 5030 def appTerm 5031 def nil cons cons nil cons nil cons cons 840 ref subst trans appThm 2429 ref refl 5032 def appThm sym nil 257 ref 493 ref 71 ref 5030 ref 496 ref appTerm 5033 def appTerm 2429 ref appTerm 5034 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 5034 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5033 ref nil cons 5035 def cons 4995 ref cons nil cons cons 5036 def 126 ref subst 5036 remove 194 ref subst 5033 ref betaConv 5033 remove assume eqMp nil 110 ref 3404 remove 49 ref 3405 remove appTerm 5028 ref 496 ref appTerm appTerm appTerm 5037 def nil cons cons 4995 ref cons nil cons cons 175 ref subst proveHyp 3408 ref nil 3410 ref 111 ref 71 ref 5037 ref appTerm 2429 ref appTerm 5038 def nil cons 5039 def cons nil cons 5040 def cons nil cons cons 5041 def 175 ref subst proveHyp 5041 ref 126 ref subst 5041 remove 194 ref subst nil 257 ref 48 ref 3416 ref 5038 ref appTerm 5042 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5042 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3419 ref 5040 ref cons nil cons cons 5043 def 126 ref subst 5043 remove 194 ref subst 3421 ref nil 3423 ref 5040 ref cons nil cons cons 5044 def 175 ref subst proveHyp 5044 ref 126 ref subst 5044 remove 194 ref subst 36 ref "_32034" 44 ref var 5045 def 71 ref 49 ref 3393 ref 5045 remove varTerm 5046 def appTerm appTerm 49 ref 3395 ref 5046 ref appTerm appTerm 5028 ref 5046 remove appTerm appTerm appTerm appTerm 2429 ref appTerm absTerm 5047 def 496 ref appTerm 5048 def appTerm refl 5049 def 5047 ref 309 ref appTerm betaConv appThm 155 ref 5048 remove betaConv appThm 5050 def 71 ref 3431 remove 49 ref 3432 remove appTerm 5028 ref 309 ref appTerm appTerm appTerm 5051 def appTerm 2429 ref appTerm refl appThm trans 5047 remove refl 5052 def 3434 ref appThm eqMp sym 226 ref 3444 remove 216 ref 3445 remove appThm nil 493 ref 5024 remove cons nil cons nil cons cons 3443 ref subst appThm appThm 5053 def appThm 5032 ref appThm sym nil 110 ref 2393 ref 3954 ref 52 ref 5023 ref appTerm 57 ref appTerm 5054 def appTerm 5055 def appTerm 5056 def nil cons 5057 def cons 4995 ref cons nil cons cons 5058 def 126 ref subst 5058 remove 194 ref subst nil 3449 remove 153 ref 5055 remove nil cons cons nil cons cons nil cons cons 5059 def 167 ref subst 5060 def 5059 remove 334 ref subst 5061 def nil 151 ref 2379 remove cons 153 ref 5054 ref nil cons cons nil cons 5062 def cons nil cons cons 5063 def 167 ref subst 5064 def 5063 remove 334 ref subst 5065 def 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 4846 ref 3451 remove 49 ref 3452 remove appTerm 235 ref 547 ref appTerm 5066 def 275 ref appTerm 57 ref appTerm 5067 def 2424 ref appTerm 5068 def appTerm 5069 def appTerm 5070 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5071 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 4851 remove 3455 ref 5069 remove appTerm 5072 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5073 def 2369 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 4854 remove 3455 ref 49 ref 3458 remove appTerm 5074 def 5068 remove appTerm appTerm 5075 def appTerm absTerm appTerm absTerm appTerm absTerm 5076 def 2457 ref appTerm betaConv sym 271 ref 47 ref 48 ref 4858 ref 3455 remove 5074 remove 235 ref 2457 ref appTerm 5077 def 275 ref appTerm 57 ref appTerm 2424 ref appTerm appTerm appTerm 5078 def appTerm absTerm appTerm absTerm 5079 def 240 ref appTerm betaConv sym 48 ref 4858 ref 3462 remove 49 ref 3464 ref appTerm 5077 ref 240 ref appTerm 5080 def 57 ref appTerm 2424 ref appTerm 5081 def appTerm 5082 def appTerm 5083 def appTerm absTerm 5084 def 57 ref appTerm betaConv sym nil 3125 ref 5082 remove nil cons cons 5085 def 3469 ref 3127 ref 2542 ref cons nil cons cons cons nil cons cons 3479 ref subst nil 3125 ref 5081 ref nil cons 5086 def cons 5087 def 3126 ref 3467 remove cons 5088 def 3127 ref 4858 remove 3461 ref appTerm nil cons cons nil cons cons cons nil cons cons 3479 ref subst trans 216 ref 216 ref 4862 remove 3480 ref appThm 3481 remove trans appThm 3482 ref appThm appThm 5081 remove refl 5089 def appThm trans sym 3512 remove nil 110 ref 3465 remove nil cons cons 111 ref 5086 remove cons nil cons 5090 def cons nil cons cons 194 ref subst proveHyp 36 ref "_32036" 44 ref var 5091 def 5080 ref 5091 remove varTerm appTerm 2424 ref appTerm absTerm 5092 def 57 ref appTerm 5093 def appTerm refl 5092 ref 5023 ref appTerm betaConv appThm 155 ref 5093 remove betaConv appThm 5080 remove 5023 ref appTerm 2424 ref appTerm refl appThm trans 5092 remove refl 5054 ref assume 5094 def sym appThm eqMp sym 5022 remove 36 ref "_32038" 44 ref var 5095 def 5077 ref 5095 remove varTerm appTerm 5023 ref appTerm 2424 ref appTerm absTerm 5096 def 240 ref appTerm 5097 def appTerm refl 5096 ref 54 ref 2455 remove appTerm 5098 def appTerm betaConv appThm 155 ref 5097 remove betaConv appThm 5077 remove 5098 ref appTerm 5023 remove appTerm 2424 ref appTerm refl appThm trans 5096 remove refl 52 ref 5098 remove appTerm 240 ref appTerm assume sym appThm eqMp sym nil 542 ref 2544 ref cons 5099 def 5021 remove cons nil cons cons 3499 ref subst nil 4863 remove nil cons 5100 def nil cons cons 3500 ref subst trans sym 145 ref eqMp eqMp proveHyp eqMp 5101 def eqMp eqMp eqMp 256 ref 257 ref 5084 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 5079 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 5076 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 5073 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 5071 ref nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 5071 remove appTerm nil cons cons 4995 ref cons nil cons cons 175 ref subst proveHyp nil "zs" 2 ref var 5102 def 2544 remove cons 5103 def 3517 remove cons nil cons cons 5102 ref 71 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 4846 ref 3520 ref 49 ref 3522 remove appTerm 5104 def 5067 ref 5102 ref varTerm 5105 def appTerm 5106 def appTerm 5107 def appTerm 5108 def appTerm 5109 def absTerm 5110 def appTerm 5111 def absTerm 5112 def appTerm 5113 def absTerm 5114 def appTerm 5115 def absTerm 5116 def appTerm 5117 def absTerm 5118 def appTerm 5119 def appTerm 5120 def 545 ref 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 5121 def appTerm 5122 def absTerm 5123 def 5105 ref appTerm 5124 def betaConv 3513 ref 99 ref 5123 ref appTerm 5125 def absTerm 5126 def 3521 ref appTerm 5127 def betaConv 3515 ref 99 ref 5126 ref appTerm 5128 def absTerm 5129 def 3518 ref appTerm 5130 def betaConv 539 ref 99 ref 5129 ref appTerm 5131 def absTerm 5132 def 544 ref appTerm 5133 def betaConv nil 592 ref 539 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 5109 ref appTerm 5121 ref appTerm 5134 def absTerm 5135 def appTerm 5136 def absTerm 5137 def appTerm 5138 def absTerm 5139 def appTerm 5140 def absTerm 5141 def appTerm 5142 def absTerm 5143 def appTerm 5144 def absTerm 5145 def appTerm 5146 def absTerm 5147 def appTerm 5148 def absTerm 5149 def appTerm 5150 def absTerm 5151 def nil cons cons 5152 def nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 5150 remove nil cons 5153 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5149 ref nil cons cons 5154 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5148 remove nil cons 5155 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5147 ref nil cons cons 5156 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5146 remove nil cons 5157 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5145 ref nil cons cons 5158 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5144 remove nil cons 5159 def cons nil cons nil cons cons 146 ref subst nil 257 ref 5143 ref nil cons cons 5160 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 5142 remove nil cons 5161 def cons nil cons nil cons cons 146 ref subst nil 257 ref 5141 ref nil cons cons 5162 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5140 remove nil cons 5163 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5139 ref nil cons cons 5164 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 5138 remove nil cons 5165 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5137 ref nil cons cons 5166 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 5136 remove nil cons 5167 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5135 ref nil cons cons 5168 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 5134 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4923 remove 5108 ref refl 5169 def appThm appThm nil 542 ref 5105 ref nil cons 5170 def cons 5171 def 3577 remove cons nil cons cons 596 ref subst appThm sym nil 110 ref 4925 remove 5108 ref appTerm nil cons 5172 def cons 111 ref 47 ref 48 ref 3580 remove 3582 remove 49 ref 52 ref 54 ref 5105 ref appTerm appTerm 57 ref appTerm 5173 def appTerm 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 3584 remove 49 ref 3585 remove appTerm 72 ref 5105 ref appTerm 74 ref appTerm 556 ref appTerm 5174 def appTerm 5175 def appTerm 5176 def appTerm 562 ref appTerm 5177 def absTerm 5178 def appTerm 5179 def absTerm 5180 def appTerm 5181 def absTerm 5182 def appTerm 5183 def absTerm 5184 def appTerm 5185 def appTerm 5186 def appTerm 5187 def appTerm absTerm 5188 def appTerm 5189 def nil cons 5190 def cons nil cons 5191 def cons nil cons cons 5192 def 126 ref subst 5192 remove 194 ref subst nil 4929 remove 153 ref 5108 ref nil cons cons nil cons 5193 def cons nil cons cons 5194 def 167 ref subst 5194 remove 334 ref subst nil 4932 ref 5191 ref cons nil cons cons 175 ref subst nil 257 ref 493 ref 71 ref 574 remove 496 ref appTerm 5195 def appTerm 5189 ref appTerm 5196 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 5196 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5195 ref nil cons 5197 def cons 5191 ref cons nil cons cons 5198 def 126 ref subst 5198 remove 194 ref subst 5195 ref betaConv 5195 remove assume eqMp nil 110 ref 3605 ref 3607 ref 49 ref 549 ref 496 ref appTerm 5199 def appTerm 570 ref appTerm 5200 def appTerm 5201 def appTerm nil cons 5202 def cons 5191 remove cons nil cons cons 5203 def 175 ref subst proveHyp 5203 ref 126 ref subst 5203 remove 194 ref subst nil 3612 ref 153 ref 5201 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 3614 remove 153 ref 5200 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 151 ref 5199 remove nil cons cons 4683 remove cons nil cons cons 334 ref subst nil 3616 remove 153 ref 5107 ref nil cons cons nil cons cons nil cons cons 5204 def 167 ref subst 5205 def 5204 remove 334 ref subst 5206 def nil 151 ref 3617 remove cons 153 ref 5106 ref nil cons 5207 def cons nil cons cons nil cons cons 5208 def 167 ref subst 5209 def 5208 remove 334 ref subst 5210 def 5188 ref 57 ref appTerm betaConv sym 3663 remove nil 3664 remove 111 ref 5187 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 3669 remove nil 3670 remove 111 ref 5186 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 29 ref 47 ref 271 ref 699 ref 5105 ref appTerm absTerm appTerm absTerm 5211 def 547 ref appTerm betaConv sym 271 ref 5106 ref absTerm 5212 def 275 ref appTerm betaConv sym 5106 ref assume 5213 def eqMp 256 ref 257 ref 5212 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 5211 ref nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 5211 remove appTerm nil cons cons 111 ref 5173 remove nil cons 5214 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 26 ref 5170 ref cons nil cons nil cons cons 3662 remove subst eqMp nil 110 ref 5214 remove cons 111 ref 5185 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 5184 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 5183 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5182 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 5181 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5180 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 5179 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5178 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 5177 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5176 remove nil cons 5215 def cons 2500 ref cons nil cons cons 5216 def 126 ref subst 5216 remove 194 ref subst nil 3674 remove 153 ref 5175 remove nil cons cons nil cons cons nil cons cons 5217 def 167 ref subst 5217 remove 334 ref subst nil 151 ref 3675 remove cons 153 ref 5174 ref nil cons 5218 def cons nil cons cons nil cons cons 5219 def 167 ref subst 5219 remove 334 ref subst 66 ref 559 ref absTerm 5220 def 3678 ref appTerm betaConv sym 3832 remove nil 3833 remove 111 ref 49 ref 3834 remove appTerm 554 remove 3678 remove appTerm 556 ref appTerm 5221 def appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 3842 remove nil 110 ref 3835 remove cons 111 ref 5221 remove nil cons cons nil cons 5222 def cons nil cons cons 194 ref subst proveHyp 48 ref 725 ref 26 ref 49 ref 5067 ref 41 ref appTerm appTerm 80 remove 556 ref appTerm appTerm absTerm 5223 def appTerm absTerm 5224 def 57 ref appTerm betaConv sym 5223 ref 5105 ref appTerm betaConv sym 216 ref nil 139 ref 5207 remove cons nil cons nil cons cons 146 ref subst 5213 remove eqMp 5225 def appThm nil 139 ref 5218 remove cons nil cons nil cons cons 146 ref subst 5174 remove assume eqMp appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 5223 remove nil cons cons 29 ref 5170 remove cons nil cons 5226 def cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 5224 ref nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 5224 remove appTerm nil cons cons 5222 remove cons nil cons cons 175 ref subst proveHyp nil 598 remove 595 ref cons nil cons cons 5227 def 3831 remove subst eqMp eqMp eqMp eqMp 256 ref 257 ref 5220 ref nil cons cons 5228 def 3844 remove cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 5220 ref appTerm 5229 def nil cons 5230 def cons 5231 def 2500 ref cons nil cons cons 5232 def 175 ref subst 5233 def proveHyp 5232 ref 126 ref subst 5232 remove 194 ref subst nil 4942 remove 2500 remove cons nil cons cons 5234 def 175 ref subst nil 5231 remove 111 ref 71 ref 570 remove appTerm 562 ref appTerm 5235 def nil cons 5236 def cons nil cons 5237 def cons nil cons cons 175 ref subst nil 257 ref 66 ref 71 ref 5220 ref 74 ref appTerm 5238 def appTerm 5235 ref appTerm 5239 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 5239 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5238 ref nil cons 5240 def cons 5237 ref cons nil cons cons 5241 def 126 ref subst 5241 remove 194 ref subst 5238 ref betaConv 5242 def 5238 remove assume eqMp nil 4937 ref 5237 remove cons nil cons cons 5243 def 175 ref subst proveHyp 5243 ref 126 ref subst 5243 remove 194 ref subst 5234 ref 126 ref subst 5234 remove 194 ref subst 4943 remove eqMp nil 151 ref 4682 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 4930 remove cons 5244 def 153 ref 5236 remove cons nil cons 5245 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5240 remove cons 5245 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 5220 remove 797 ref appTerm appTerm 5235 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5229 remove appTerm 5235 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5228 ref 5245 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 5230 remove cons 2527 ref cons nil cons cons 167 ref subst deductAntisym eqMp 5246 def eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 5215 remove cons 2527 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp 256 ref 257 ref 5188 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 5202 remove cons 153 ref 5190 remove cons nil cons 5247 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5197 remove cons 5247 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4696 ref 5189 ref appTerm absTerm appTerm nil cons cons 111 ref 4697 ref 5189 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4698 ref 5247 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 5172 remove cons 5247 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 5248 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5249 def nil 110 ref 588 ref 5151 ref appTerm 5250 def nil cons 5251 def cons 5252 def 111 ref 588 ref 5132 ref appTerm nil cons 5253 def cons nil cons cons nil cons cons 5254 def 175 ref subst proveHyp 5254 ref 126 ref subst 5254 remove 194 ref subst nil 592 ref 5132 remove nil cons cons 5255 def nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 5131 remove nil cons 5256 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5129 remove nil cons cons 5257 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 5128 remove nil cons 5258 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5126 remove nil cons cons 5259 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 5125 remove nil cons 5260 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5123 remove nil cons cons 5261 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 5122 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5119 remove nil cons 5262 def cons 5263 def 111 ref 5121 ref nil cons 5264 def cons nil cons 5265 def cons nil cons cons 5266 def 126 ref subst 5266 remove 194 ref subst nil 5252 ref 5265 ref cons nil cons cons 5267 def 175 ref subst nil 5263 remove 111 ref 71 ref 5250 ref appTerm 5121 remove appTerm 5268 def nil cons 5269 def cons nil cons 5270 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 5118 ref 39 ref appTerm 5271 def appTerm 5268 ref appTerm 5272 def absTerm 5273 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5272 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5271 ref nil cons 5274 def cons 5270 ref cons nil cons cons 5275 def 126 ref subst 5275 remove 194 ref subst 5271 ref betaConv 5271 remove assume eqMp nil 110 ref 5117 ref nil cons cons 5270 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 5116 ref 41 ref appTerm 5276 def appTerm 5268 ref appTerm 5277 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5277 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5276 ref nil cons 5278 def cons 5270 ref cons nil cons cons 5279 def 126 ref subst 5279 remove 194 ref subst 5276 ref betaConv 5276 remove assume eqMp nil 110 ref 5115 ref nil cons cons 5270 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 5114 ref 547 ref appTerm 5280 def appTerm 5268 ref appTerm 5281 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5281 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5280 ref nil cons 5282 def cons 5270 ref cons nil cons cons 5283 def 126 ref subst 5283 remove 194 ref subst 5280 ref betaConv 5280 remove assume eqMp nil 110 ref 5113 ref nil cons cons 5270 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 5112 ref 275 ref appTerm 5284 def appTerm 5268 ref appTerm 5285 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 5285 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5284 ref nil cons 5286 def cons 5270 ref cons nil cons cons 5287 def 126 ref subst 5287 remove 194 ref subst 5284 ref betaConv 5284 remove assume eqMp nil 110 ref 5111 ref nil cons cons 5270 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 5110 ref 57 ref appTerm 5288 def appTerm 5268 ref appTerm 5289 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5289 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5288 ref nil cons 5290 def cons 5270 ref cons nil cons cons 5291 def 126 ref subst 5291 remove 194 ref subst 5288 ref betaConv 5288 remove assume eqMp nil 110 ref 5109 remove nil cons 5292 def cons 5293 def 5270 remove cons nil cons cons 5294 def 175 ref subst proveHyp 5294 ref 126 ref subst 5294 remove 194 ref subst 5267 ref 126 ref subst 5267 remove 194 ref subst nil 5293 remove 5265 remove cons nil cons cons 175 ref subst 5135 remove 5105 ref appTerm 5295 def betaConv 5137 remove 3521 ref appTerm 5296 def betaConv 5139 remove 3518 ref appTerm 5297 def betaConv 5141 remove 57 ref appTerm 5298 def betaConv 5143 remove 275 ref appTerm 5299 def betaConv 5145 remove 547 ref appTerm 5300 def betaConv 5147 remove 41 ref appTerm 5301 def betaConv 5149 remove 39 ref appTerm 5302 def betaConv 5151 remove 544 ref appTerm 5303 def betaConv nil 5252 remove 111 ref 5303 remove nil cons cons nil cons cons nil cons cons 175 ref subst 591 ref 5152 remove 593 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5153 remove cons 111 ref 5302 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5154 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5155 remove cons 111 ref 5301 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5156 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5157 remove cons 111 ref 5300 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5158 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5159 remove cons 111 ref 5299 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5160 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5161 remove cons 111 ref 5298 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5162 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5163 remove cons 111 ref 5297 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5164 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5165 remove cons 111 ref 5296 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5166 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5167 remove cons 111 ref 5295 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5168 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 5251 remove cons 5304 def 153 ref 5264 remove cons nil cons 5305 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 5292 remove cons 153 ref 5269 remove cons nil cons 5306 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5290 remove cons 5306 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 5110 ref 797 ref appTerm appTerm 5268 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5111 remove appTerm 5268 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5110 remove nil cons cons 5306 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 5286 remove cons 5306 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 5112 ref 797 ref appTerm appTerm 5268 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5113 remove appTerm 5268 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5112 remove nil cons cons 5306 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 5282 remove cons 5306 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 5114 ref 1893 ref appTerm appTerm 5268 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5115 remove appTerm 5268 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5114 remove nil cons cons 5306 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 5278 remove cons 5306 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 5116 ref 1893 ref appTerm appTerm 5268 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5117 remove appTerm 5268 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5116 remove nil cons cons 5306 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 5274 remove cons 5306 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 5273 remove appTerm nil cons cons 111 ref 5120 remove 5268 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5118 remove nil cons cons 5306 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 5262 remove cons 5305 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 5304 remove 153 ref 5253 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 5253 remove cons 111 ref 5133 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 591 ref 5255 remove 593 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5256 remove cons 111 ref 5130 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5257 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5258 remove cons 111 ref 5127 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5259 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5260 remove cons 111 ref 5124 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5261 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 5057 ref cons 153 ref 2430 remove cons nil cons 5307 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3916 ref 153 ref 5039 ref cons nil cons 5308 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3918 ref 5308 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3919 ref 5038 ref appTerm absTerm appTerm nil cons cons 111 ref 3920 ref 5038 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3921 ref 5308 ref cons nil cons cons 811 ref subst eqMp nil 3923 ref 5040 remove cons nil cons cons 5309 def 126 ref subst 5309 remove 194 ref subst 5049 remove "_32032" 44 ref var 5310 def 71 ref 49 ref 3393 ref 5310 remove varTerm 5311 def appTerm appTerm 49 ref 3395 ref 5311 ref appTerm appTerm 5028 ref 5311 remove appTerm appTerm appTerm appTerm 2429 ref appTerm absTerm 220 ref appTerm betaConv appThm 5050 remove 71 ref 3927 remove 49 ref 3928 remove appTerm 5028 ref 220 ref appTerm appTerm appTerm 5312 def appTerm 2429 ref appTerm refl appThm trans 5052 remove 3929 ref appThm eqMp sym 226 ref 3930 remove 216 ref 3931 remove appThm 5026 remove 350 ref subst appThm 375 ref trans appThm 375 ref trans 5313 def appThm 5032 ref appThm 2539 remove 381 ref subst trans sym 145 ref eqMp eqMp eqMp nil 3933 ref 5308 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 ref 3934 ref 1335 ref 5039 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp eqMp nil 3935 ref 5308 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 5035 remove cons 5307 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 5030 ref 797 ref appTerm appTerm 2429 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5031 remove appTerm 2429 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5030 remove nil cons cons 5307 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp nil 151 ref 2542 remove cons 153 ref 4844 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 5019 ref 4843 ref appTerm nil cons cons 111 ref 71 ref 4843 ref appTerm 2541 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 216 ref nil 2460 remove 2440 remove 2459 remove nil cons cons cons nil cons cons 1001 ref 36 ref 2465 ref appTerm 545 ref 243 ref appTerm 1151 ref appTerm 1963 ref appTerm 5314 def appTerm 5315 def absTerm 5316 def 1002 ref appTerm 5317 def betaConv 263 ref 68 ref 5316 ref appTerm 5318 def absTerm 5319 def 627 ref appTerm 5320 def betaConv 227 ref 68 ref 5319 ref appTerm 5321 def absTerm 5322 def 233 ref appTerm 5323 def betaConv 539 ref 68 ref 5322 ref appTerm 5324 def absTerm 5325 def 544 remove appTerm 5326 def betaConv 1958 remove 539 ref 225 ref 227 ref 225 ref 263 ref 225 ref 1001 ref 5315 remove assume sym 36 ref 5314 remove appTerm 2465 remove appTerm 5327 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm nil 592 ref 539 ref 68 ref 227 ref 68 ref 263 ref 68 ref 1001 ref 5327 ref absTerm 5328 def appTerm 5329 def absTerm 5330 def appTerm 5331 def absTerm 5332 def appTerm 5333 def absTerm 5334 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 5333 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5332 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 5331 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5330 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 5329 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5328 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 5327 remove nil cons cons nil cons nil cons cons 146 ref subst 2537 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5335 def eqMp nil 110 ref 588 ref 5325 ref appTerm nil cons cons 111 ref 5326 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 591 remove 592 ref 5325 remove nil cons cons 593 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5324 remove nil cons cons 111 ref 5323 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5322 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5321 remove nil cons cons 111 ref 5320 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5319 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5318 remove nil cons cons 111 ref 5317 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5316 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp subst appThm 5032 remove appThm appThm 2541 ref refl 5336 def appThm sym 2743 remove eqMp eqMp eqMp 5337 def subst trans appThm 216 ref 1000 ref refl 227 ref 997 ref 26 ref 216 ref nil 1443 remove 1322 remove 1444 ref 2402 remove cons 676 ref 2436 remove cons nil cons cons cons cons nil cons cons 1442 ref 36 ref 278 ref 1078 ref 687 remove appTerm 1449 ref appTerm appTerm 1078 ref 689 remove appTerm 1457 ref appTerm appTerm appTerm 49 ref 678 remove appTerm 278 ref 1449 ref appTerm 1457 ref appTerm appTerm appTerm absTerm 5338 def 1457 ref appTerm 5339 def betaConv 1444 ref 99 ref 5338 ref appTerm 5340 def absTerm 5341 def 1449 ref appTerm 5342 def betaConv 671 remove 99 ref 5341 ref appTerm 5343 def absTerm 5344 def 672 remove appTerm 5345 def betaConv 676 remove 68 ref 5344 ref appTerm 5346 def absTerm 5347 def 677 remove appTerm 5348 def betaConv nil 68 ref 5347 ref appTerm 5349 def axiom nil 110 ref 5349 remove nil cons cons 111 ref 5348 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5347 remove nil cons cons 818 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5346 remove nil cons cons 111 ref 5345 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5344 remove nil cons cons 819 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5343 remove nil cons cons 111 ref 5342 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5341 remove nil cons cons 1452 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5340 remove nil cons cons 111 ref 5339 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5338 remove nil cons cons 1460 remove cons nil cons cons 205 ref subst eqMp eqMp subst appThm 4033 remove appThm absThm appThm absThm appThm appThm 4743 remove 3945 ref subst 216 ref 4634 remove 2292 ref appTerm betaConv 2344 ref refl 5350 def appThm 1001 ref 2432 remove 4542 ref appTerm 5351 def 1002 ref appTerm absTerm 2344 ref appTerm betaConv trans appThm 4635 remove 2314 ref appTerm 5352 def 2361 ref appTerm 5353 def refl 5354 def appThm trans appThm appThm sym 26 ref 2394 remove 36 ref 2395 remove 4524 ref appTerm 5355 def 41 ref appTerm appTerm 2393 ref 5352 remove 41 ref appTerm appTerm appTerm appTerm absTerm 5356 def 2361 ref appTerm 5357 def betaConv 4759 ref 2314 ref appTerm 5358 def betaConv nil 4796 ref 111 ref 5358 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 4759 remove nil cons cons 5359 def 2404 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 5356 ref appTerm nil cons cons 111 ref 5357 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5356 remove nil cons cons 2407 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2409 remove 36 ref 5355 remove 2361 ref appTerm 5360 def appTerm 5361 def 2393 ref 5353 ref appTerm appTerm appTerm nil cons cons 111 ref 36 ref 49 ref 5351 remove 2344 ref appTerm appTerm 5362 def 5360 ref appTerm appTerm 49 ref 1000 ref 227 ref 725 ref 26 ref 49 ref 49 ref 467 remove 2292 ref appTerm 5363 def 233 ref appTerm appTerm 278 ref 2314 ref appTerm 41 ref appTerm 5364 def appTerm appTerm 62 ref appTerm absTerm appTerm absTerm 5365 def appTerm 5366 def appTerm 5362 ref 5353 ref appTerm 5367 def appTerm 5368 def appTerm 5369 def nil cons 5370 def cons nil cons 5371 def cons nil cons cons 175 ref subst proveHyp 226 ref 2422 remove 5361 ref refl 2418 ref 5354 remove appThm nil 139 ref 5353 ref nil cons cons nil cons nil cons cons 527 ref subst trans appThm appThm nil 139 ref 5361 remove 5353 ref appTerm 5372 def nil cons 5373 def cons nil cons nil cons cons 840 ref subst trans appThm 5369 remove refl appThm sym nil 110 ref 5373 ref cons 5371 remove cons nil cons cons 5374 def 126 ref subst 5374 remove 194 ref subst 36 ref "_32132" 3 ref var 5375 def 36 ref 5362 remove 5375 remove varTerm appTerm appTerm 5368 ref appTerm absTerm 5376 def 5360 remove appTerm 5377 def appTerm refl 5376 ref 5353 remove appTerm betaConv appThm 155 ref 5377 remove betaConv appThm 36 ref 5367 ref appTerm 5368 remove appTerm 5378 def refl appThm trans 5376 remove refl 5372 remove assume appThm eqMp sym 5365 ref 2292 ref appTerm betaConv sym 26 ref 49 ref 49 ref 5363 remove 2292 ref appTerm appTerm 5364 remove appTerm appTerm 62 ref appTerm absTerm 5379 def 2314 ref appTerm betaConv sym 216 ref 216 ref 3237 remove appThm 3501 remove appThm 528 ref trans appThm 2417 remove appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 5379 remove nil cons cons 2404 ref cons nil cons cons 724 ref subst proveHyp eqMp 261 ref 262 ref 5365 remove nil cons cons 2438 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 5366 remove nil cons 5380 def cons 111 ref 5378 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil "y" 3 ref var 5381 def 5380 remove cons 347 ref 5367 remove nil cons cons nil cons cons nil cons cons nil 110 ref 36 ref 5381 ref varTerm 5382 def appTerm 5383 def 315 ref appTerm 5384 def nil cons 5385 def cons 111 ref 71 ref 5382 ref appTerm 36 ref 347 ref varTerm 5386 def appTerm 5387 def 49 ref 5382 ref appTerm 5386 ref appTerm appTerm appTerm 5388 def nil cons 5389 def cons nil cons 5390 def cons nil cons cons 5391 def 126 ref subst 5391 remove 194 ref subst 36 ref "_32120" 3 ref var 5392 def 71 ref 5392 remove varTerm 5393 def appTerm 5387 ref 49 ref 5393 remove appTerm 5386 ref appTerm appTerm appTerm absTerm 5394 def 5382 ref appTerm 5395 def appTerm refl 5396 def 5394 remove 315 ref appTerm betaConv appThm 155 ref 5395 remove betaConv appThm 5397 def 338 remove 5387 ref 354 remove 5386 ref appTerm appTerm 5398 def appTerm refl appThm trans 5381 remove 5388 remove absTerm refl 5399 def 5384 remove assume appThm eqMp sym nil 139 ref 5398 remove nil cons cons nil cons nil cons cons 381 ref subst sym 145 ref eqMp eqMp eqMp nil 151 ref 5385 ref cons 153 ref 5389 ref cons nil cons 5400 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 5383 remove 131 ref appTerm 5401 def nil cons 5402 def cons 5390 remove cons nil cons cons 5403 def 126 ref subst 5403 remove 194 ref subst 5396 remove "_32118" 3 ref var 5404 def 71 ref 5404 remove varTerm 5405 def appTerm 5387 ref 49 ref 5405 remove appTerm 5386 ref appTerm appTerm appTerm absTerm 131 ref appTerm betaConv appThm 5397 remove 836 remove 5387 ref 523 remove 5386 ref appTerm appTerm 5406 def appTerm refl appThm trans 5399 remove 5401 remove assume appThm eqMp sym nil 139 ref 5406 remove nil cons cons nil cons nil cons cons 840 ref subst 5387 remove refl nil 139 ref 5386 remove nil cons cons nil cons nil cons cons 527 ref subst appThm 1333 remove trans trans sym 145 ref eqMp eqMp eqMp nil 151 ref 5402 remove cons 5407 def 5400 remove cons nil cons cons 167 ref subst deductAntisym eqMp 139 ref 1185 remove 144 remove appTerm 143 remove 315 ref appTerm appTerm absTerm 5408 def 5382 ref appTerm 5409 def betaConv nil 343 ref 5408 ref appTerm 5410 def axiom nil 110 ref 5410 remove nil cons cons 111 ref 5409 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 5408 remove nil cons cons 347 ref 5382 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 5407 remove 153 ref 5385 remove cons 1335 ref 5389 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp nil 151 ref 5373 remove cons 153 ref 5370 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 2747 ref 153 ref 4817 remove cons nil cons 5411 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2749 ref 5411 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 2750 ref 4814 ref appTerm absTerm appTerm nil cons cons 111 ref 2751 ref 4814 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2752 ref 5411 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2753 ref 5411 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 2754 ref 4814 remove appTerm absTerm appTerm nil cons cons 111 ref 4815 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 2755 ref 5411 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2756 ref 153 ref 4801 remove cons nil cons 5412 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2758 ref 5412 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 2759 ref 4799 ref appTerm absTerm appTerm nil cons cons 111 ref 2760 ref 4799 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2761 ref 5412 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2762 ref 5412 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 1894 ref 4799 ref appTerm absTerm appTerm nil cons cons 111 ref 1895 ref 4799 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 1896 ref 5412 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 4795 remove cons 153 ref 4797 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 4783 remove appTerm 4794 remove appTerm nil cons cons 111 ref 65 ref 4762 ref appTerm nil cons 5413 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 4762 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 4764 ref appThm 4762 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 4764 remove absThm appThm appThm nil 1024 ref 4762 remove nil cons 5414 def cons nil cons nil cons cons 1904 ref subst eqMp eqMp nil 110 ref 5413 remove cons 111 ref 4763 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5414 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 4796 remove 111 ref 4760 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5359 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 4758 remove nil cons cons 111 ref 4757 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 4756 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp 1881 ref 2189 remove appTerm 5415 def betaConv 1884 ref nil 1885 ref 111 ref 5415 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 1886 ref 347 ref 3116 ref cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 3969 remove 153 ref 4630 remove cons 1335 ref 4639 ref cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp 5416 def subst trans appThm sym nil 110 ref 308 ref 58 ref appTerm nil cons 5417 def cons 5418 def 111 ref 71 ref 59 ref 1005 ref appTerm appTerm 5419 def 59 ref 16 ref 263 ref 1001 ref 2778 remove 4542 ref appTerm 1002 ref appTerm 5420 def absTerm absTerm 5421 def appTerm 39 ref appTerm 41 ref appTerm 5422 def appTerm appTerm nil cons 5423 def cons nil cons 5424 def cons nil cons cons 5425 def 126 ref subst 5425 remove 194 ref subst 226 ref 216 ref nil 5418 ref 111 ref 36 ref 58 ref appTerm 315 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst nil 3086 ref nil cons nil cons cons 349 ref subst eqMp appThm 5426 def 1005 ref refl 5427 def appThm nil 139 ref 1005 ref nil cons 5428 def cons nil cons nil cons cons 5429 def 359 ref subst trans appThm 5430 def 5426 ref 5422 ref refl 5431 def appThm nil 139 ref 5422 ref nil cons 5432 def cons nil cons nil cons cons 5433 def 359 ref subst trans appThm 374 remove 381 ref subst 5434 def trans sym 145 ref eqMp eqMp nil 151 ref 5417 ref cons 5435 def 153 ref 5423 ref cons nil cons 5436 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 3085 ref cons 5437 def 5424 remove cons nil cons cons 5438 def 126 ref subst 5438 remove 194 ref subst 36 ref "_32136" 44 ref var 5439 def 71 ref 49 ref 56 ref 5439 remove varTerm appTerm appTerm 5440 def 1005 ref appTerm appTerm 5440 remove 5422 ref appTerm appTerm absTerm 5441 def 57 ref appTerm 5442 def appTerm refl 5441 ref 55 ref appTerm betaConv appThm 155 ref 5442 remove betaConv appThm 71 ref 49 ref 56 ref 55 ref appTerm 5443 def appTerm 5444 def 1005 ref appTerm appTerm 5445 def 5444 ref 5422 remove appTerm appTerm refl appThm trans 5441 remove refl 4044 ref appThm eqMp sym 226 ref 660 ref 5427 remove appThm 5429 ref 527 ref subst trans appThm 5446 def 660 ref 5431 remove appThm 5433 remove 527 ref subst trans appThm sym nil 110 ref 5428 ref cons 5447 def 111 ref 5432 ref cons nil cons 5448 def cons nil cons cons 5449 def 126 ref subst 5449 remove 194 ref subst 22 ref 49 ref 68 ref 69 ref 68 ref 70 ref 71 ref 85 remove appTerm 5450 def 5421 ref 76 ref appTerm 5451 def 81 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 42 ref appTerm absTerm 5452 def 17 ref appTerm betaConv sym 216 ref 225 ref 69 ref 225 ref 70 ref 71 ref 1004 ref appTerm refl 5453 def 5451 remove betaConv 1730 ref appThm 1001 ref 2780 remove 4542 ref appTerm 1002 ref appTerm absTerm 81 ref appTerm betaConv trans appThm nil 1001 ref 369 remove cons 5454 def 824 ref cons nil cons cons 5455 def nil 139 ref 2998 ref 5420 remove appTerm 5456 def nil cons cons nil cons nil cons cons 146 ref subst 1001 ref 5456 remove absTerm 5457 def 1002 ref appTerm 5458 def betaConv 263 ref 68 ref 5457 ref appTerm 5459 def absTerm 5460 def 627 ref appTerm 5461 def betaConv nil 68 ref 5460 ref appTerm 5462 def axiom nil 110 ref 5462 remove nil cons cons 111 ref 5461 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5460 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5459 remove nil cons cons 111 ref 5458 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5457 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst trans absThm appThm 390 ref trans absThm appThm 390 ref trans appThm 5429 remove 146 ref subst 1005 ref assume eqMp 5463 def appThm 528 ref trans sym 145 ref eqMp eqMp 177 ref 178 ref 5452 ref nil cons cons 179 ref 23 remove cons nil cons 5464 def cons nil cons cons 724 ref subst proveHyp nil 110 ref 43 ref 107 remove constTerm 5465 def 5452 remove appTerm nil cons cons 5448 remove cons nil cons cons 175 ref subst proveHyp nil "s" 14 remove var 5466 def 5421 remove nil cons cons nil cons nil cons cons 26 ref 71 ref 5465 ref 22 ref 49 ref 68 ref 69 ref 68 ref 70 ref 5450 ref 5466 ref varTerm 5467 def 76 ref appTerm 81 ref appTerm 5468 def appTerm absTerm 5469 def appTerm 5470 def absTerm 5471 def appTerm 5472 def appTerm 5473 def 42 ref appTerm 5474 def absTerm 5475 def appTerm 5476 def appTerm 5477 def 16 ref 5467 ref appTerm 5478 def 39 ref appTerm 5479 def 41 ref appTerm 5480 def appTerm 5481 def absTerm 5482 def 41 ref appTerm 5483 def betaConv 29 ref 99 ref 5482 ref appTerm 5484 def absTerm 5485 def 39 ref appTerm 5486 def betaConv 5466 ref 99 ref 5485 ref appTerm 5487 def absTerm 5488 def 5467 ref appTerm 5489 def betaConv nil 178 ref 22 ref 108 ref 5466 ref 99 ref 29 ref 99 ref 26 ref 71 ref 5474 ref appTerm 5480 ref appTerm 5490 def absTerm 5491 def appTerm 5492 def absTerm 5493 def appTerm 5494 def absTerm 5495 def appTerm 5496 def absTerm 5497 def nil cons cons 5498 def nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 5496 remove nil cons 5499 def cons nil cons nil cons cons 146 ref subst nil 178 ref 5495 ref nil cons cons 5500 def nil cons nil cons cons 1982 ref subst 5466 ref nil 139 ref 5494 remove nil cons 5501 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5493 ref nil cons cons 5502 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5492 remove nil cons 5503 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5491 ref nil cons cons 5504 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5490 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5473 ref refl 214 ref appThm appThm nil 22 ref 5467 ref nil cons 5505 def cons nil cons 5506 def nil cons cons 214 remove subst appThm sym nil 110 ref 5473 remove 95 remove appTerm nil cons 5507 def cons 111 ref 47 ref 48 ref 59 ref 63 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 84 remove 5468 ref appTerm 5508 def absTerm 5509 def appTerm 5510 def absTerm 5511 def appTerm 5512 def absTerm 5513 def appTerm 5514 def appTerm appTerm absTerm 5515 def appTerm 5516 def nil cons 5517 def cons nil cons 5518 def cons nil cons cons 5519 def 126 ref subst 5519 remove 194 ref subst nil 151 ref 5472 remove nil cons 5520 def cons 153 ref 3290 remove cons nil cons cons nil cons cons 5521 def 167 ref subst 5521 remove 334 ref subst nil 3294 remove 5518 ref cons nil cons cons 175 ref subst nil 257 ref 48 ref 3075 remove 5516 ref appTerm 5522 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5522 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3078 remove 5518 ref cons nil cons cons 5523 def 126 ref subst 5523 remove 194 ref subst 3081 remove nil 3083 remove 5518 remove cons nil cons cons 5524 def 175 ref subst proveHyp 5524 ref 126 ref subst 5524 remove 194 ref subst 3088 remove 3089 remove 3094 remove 3298 remove 5515 ref 57 ref appTerm betaConv sym 3098 ref 4688 ref 5514 ref refl appThm nil 139 ref 5514 remove nil cons cons nil cons nil cons cons 527 ref subst 5525 def trans appThm 5525 remove trans sym nil 257 ref 5513 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 5512 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5511 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 5510 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5509 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 5508 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3299 remove 111 ref 5468 remove nil cons 5526 def cons nil cons 5527 def cons nil cons cons 5528 def 126 ref subst 5528 remove 194 ref subst nil 668 ref 153 ref 82 ref nil cons 5529 def cons nil cons cons nil cons cons 5530 def 167 ref subst 5530 remove 334 ref subst 3858 remove sym 834 ref nil 139 ref 5529 ref cons nil cons nil cons cons 146 ref subst 82 remove assume eqMp 5531 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 3843 remove 260 ref cons nil cons cons 724 ref subst proveHyp 3849 remove proveHyp 3862 remove eqMp nil 110 ref 377 remove cons 5527 remove cons nil cons cons 175 ref subst proveHyp 5469 ref 81 ref appTerm 5532 def betaConv 5471 ref 76 ref appTerm 5533 def betaConv nil 110 ref 5520 remove cons 111 ref 5533 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 5471 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5470 remove nil cons cons 111 ref 5532 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5469 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 3860 remove 153 ref 5526 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 5515 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 3101 remove 153 ref 5517 remove cons nil cons 5534 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3103 remove 5534 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3104 remove 5516 ref appTerm absTerm appTerm nil cons cons 111 ref 3105 remove 5516 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3106 remove 5534 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 5507 remove cons 5534 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5535 def nil 110 ref 108 ref 5497 ref appTerm 5536 def nil cons 5537 def cons 5538 def 111 ref 108 ref 5488 ref appTerm nil cons 5539 def cons nil cons cons nil cons cons 5540 def 175 ref subst proveHyp 5540 ref 126 ref subst 5540 remove 194 ref subst nil 178 ref 5488 remove nil cons cons 5541 def nil cons nil cons cons 1982 ref subst 5466 ref nil 139 ref 5487 remove nil cons 5542 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5485 remove nil cons cons 5543 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5484 remove nil cons 5544 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5482 remove nil cons cons 5545 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5481 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5476 remove nil cons 5546 def cons 5547 def 111 ref 5480 ref nil cons 5548 def cons nil cons 5549 def cons nil cons cons 5550 def 126 ref subst 5550 remove 194 ref subst nil 5538 ref 5549 ref cons nil cons cons 5551 def 175 ref subst nil 5547 remove 111 ref 71 ref 5536 ref appTerm 5480 remove appTerm 5552 def nil cons 5553 def cons nil cons 5554 def cons nil cons cons 175 ref subst nil 178 ref 22 ref 71 ref 5475 ref 37 ref appTerm 5555 def appTerm 5552 ref appTerm 5556 def absTerm nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 5556 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5555 ref nil cons 5557 def cons 5554 ref cons nil cons cons 5558 def 126 ref subst 5558 remove 194 ref subst 5555 ref betaConv 5555 remove assume eqMp nil 110 ref 5474 remove nil cons 5559 def cons 5560 def 5554 remove cons nil cons cons 5561 def 175 ref subst proveHyp 5561 ref 126 ref subst 5561 remove 194 ref subst 5551 ref 126 ref subst 5551 remove 194 ref subst nil 5560 remove 5549 remove cons nil cons cons 175 ref subst 5491 remove 41 ref appTerm 5562 def betaConv 5493 remove 39 ref appTerm 5563 def betaConv 5495 remove 5467 ref appTerm 5564 def betaConv 5497 remove 37 ref appTerm 5565 def betaConv nil 5538 remove 111 ref 5565 remove nil cons cons nil cons cons nil cons cons 175 ref subst 177 ref 5498 remove 180 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5499 remove cons 111 ref 5564 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 5500 remove 179 ref 5505 remove cons nil cons 5566 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5501 remove cons 111 ref 5563 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5502 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5503 remove cons 111 ref 5562 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5504 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 5537 remove cons 5567 def 153 ref 5548 remove cons nil cons 5568 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 5559 remove cons 153 ref 5553 remove cons nil cons 5569 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5557 remove cons 5569 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 108 ref 179 ref 71 ref 5475 ref 179 ref varTerm appTerm appTerm 5552 ref appTerm absTerm appTerm nil cons cons 111 ref 5477 remove 5552 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 178 ref 5475 remove nil cons cons 5569 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 5546 remove cons 5568 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 5567 remove 153 ref 5539 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 5539 remove cons 111 ref 5489 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 177 ref 5541 remove 5566 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5542 remove cons 111 ref 5486 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5543 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5544 remove cons 111 ref 5483 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5545 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp 5570 def subst eqMp eqMp nil 151 ref 5428 remove cons 5571 def 153 ref 5432 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3086 ref 5436 remove cons nil cons cons 167 ref subst deductAntisym eqMp 1881 ref 58 ref appTerm 5572 def betaConv 1884 ref nil 1885 ref 111 ref 5572 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 1886 ref 347 ref 3085 remove cons nil cons cons nil cons cons 205 ref subst eqMp eqMp 5573 def nil 3086 ref 153 ref 5417 remove cons 5574 def 1335 ref 5423 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp eqMp 5575 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 4626 remove appTerm thm nil 208 ref 29 ref 65 ref 48 ref 99 ref 26 ref 4620 remove 2795 remove 4524 ref appTerm 41 ref appTerm appTerm 5576 def absTerm 5577 def appTerm 5578 def absTerm 5579 def appTerm 5580 def absTerm 5581 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5580 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 5579 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5578 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5577 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5576 remove nil cons cons nil cons nil cons cons 146 ref subst 4628 remove 2788 remove 4629 ref appThm 998 ref appThm 620 ref 5416 ref subst trans appThm sym nil 5418 ref 111 ref 5419 remove 59 ref 16 ref 263 ref 1001 ref 2790 remove 4542 ref appTerm 1002 ref appTerm 5582 def absTerm absTerm 5583 def appTerm 39 ref appTerm 41 ref appTerm 5584 def appTerm appTerm nil cons 5585 def cons nil cons 5586 def cons nil cons cons 5587 def 126 ref subst 5587 remove 194 ref subst 5430 remove 5426 ref 5584 ref refl 5588 def appThm nil 139 ref 5584 ref nil cons 5589 def cons nil cons nil cons cons 5590 def 359 ref subst trans appThm 5434 ref trans sym 145 ref eqMp eqMp nil 5435 ref 153 ref 5585 ref cons nil cons 5591 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 5437 ref 5586 remove cons nil cons cons 5592 def 126 ref subst 5592 remove 194 ref subst 36 ref "_32138" 44 ref var 5593 def 71 ref 49 ref 56 ref 5593 remove varTerm appTerm appTerm 5594 def 1005 remove appTerm appTerm 5594 remove 5584 ref appTerm appTerm absTerm 5595 def 57 ref appTerm 5596 def appTerm refl 5595 ref 55 ref appTerm betaConv appThm 155 ref 5596 remove betaConv appThm 5445 remove 5444 ref 5584 remove appTerm appTerm refl appThm trans 5595 remove refl 4044 ref appThm eqMp sym 5446 remove 660 ref 5588 remove appThm 5590 remove 527 ref subst trans appThm sym nil 5447 remove 111 ref 5589 ref cons nil cons 5597 def cons nil cons cons 5598 def 126 ref subst 5598 remove 194 ref subst 22 ref 49 ref 68 ref 69 ref 68 ref 70 ref 5450 ref 5583 ref 76 ref appTerm 5599 def 81 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 42 ref appTerm absTerm 5600 def 17 ref appTerm betaConv sym 216 ref 225 ref 69 ref 225 ref 70 ref 5453 remove 5599 remove betaConv 1730 ref appThm 1001 ref 2792 remove 4542 ref appTerm 1002 ref appTerm absTerm 81 ref appTerm betaConv trans appThm 5455 remove nil 139 ref 2998 remove 5582 remove appTerm 5601 def nil cons cons nil cons nil cons cons 146 ref subst 1001 ref 5601 remove absTerm 5602 def 1002 ref appTerm 5603 def betaConv 263 ref 68 ref 5602 ref appTerm 5604 def absTerm 5605 def 627 ref appTerm 5606 def betaConv nil 68 ref 5605 ref appTerm 5607 def axiom nil 110 ref 5607 remove nil cons cons 111 ref 5606 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5605 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5604 remove nil cons cons 111 ref 5603 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5602 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst trans absThm appThm 390 ref trans absThm appThm 390 ref trans appThm 5463 remove appThm 528 ref trans sym 145 ref eqMp eqMp 177 ref 178 ref 5600 ref nil cons cons 5464 remove cons nil cons cons 724 ref subst proveHyp nil 110 ref 5465 ref 5600 remove appTerm nil cons cons 5597 remove cons nil cons cons 175 ref subst proveHyp nil 5466 ref 5583 remove nil cons cons nil cons nil cons cons 5570 ref subst eqMp eqMp nil 5571 remove 153 ref 5589 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3086 ref 5591 remove cons nil cons cons 167 ref subst deductAntisym eqMp 5573 ref nil 3086 ref 5574 ref 1335 ref 5585 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp eqMp 5608 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5581 remove appTerm thm nil 178 ref 22 ref 99 ref 29 ref 99 ref 26 ref 36 ref 38 ref 4523 ref 55 ref appTerm 5609 def appTerm 41 ref appTerm 5610 def appTerm 16 ref 263 ref 1001 ref 37 remove 4542 ref appTerm 5611 def 1002 ref appTerm absTerm 5612 def absTerm 5613 def appTerm 5614 def 39 ref appTerm 41 ref appTerm 5615 def appTerm 5616 def absTerm 5617 def appTerm 5618 def absTerm 5619 def appTerm 5620 def absTerm 5621 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 5620 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5619 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5618 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5617 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5616 ref nil cons 5622 def cons nil cons nil cons cons 146 ref subst nil 110 ref 308 ref 2198 ref appTerm nil cons 5623 def cons 5624 def 111 ref 5622 ref cons nil cons 5625 def cons nil cons cons 5626 def 126 ref subst 5626 remove 194 ref subst nil 110 ref 5610 ref nil cons 5627 def cons 5628 def 111 ref 5615 ref nil cons 5629 def cons nil cons 5630 def cons nil cons cons 5631 def 335 ref subst 5631 ref 126 ref subst 5631 remove 194 ref subst nil 5628 remove 111 ref 47 ref 48 ref 49 ref 52 ref 54 ref 5609 ref appTerm appTerm 5632 def 57 ref appTerm appTerm 62 ref appTerm absTerm 5633 def appTerm 5634 def nil cons 5635 def cons nil cons cons nil cons cons 175 ref subst nil 29 ref 5609 ref nil cons cons nil cons nil cons cons 3107 ref subst eqMp nil 110 ref 5635 remove cons 5630 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 493 ref 71 ref 5633 ref 496 ref appTerm 5636 def appTerm 5615 ref appTerm 5637 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 5637 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5636 ref nil cons 5638 def cons 5630 ref cons nil cons cons 5639 def 126 ref subst 5639 remove 194 ref subst 5636 ref betaConv 5636 remove assume eqMp nil 110 ref 49 ref 5632 remove 496 ref appTerm appTerm 3606 ref appTerm nil cons cons 5630 ref cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 217 ref nil 1778 remove nil cons nil cons cons 4707 remove subst appThm 4708 ref appThm appThm 4709 remove appThm appThm 5615 ref refl appThm sym nil 4752 ref 5630 remove cons nil cons cons 5640 def 126 ref subst 5640 remove 194 ref subst nil 3612 remove 4716 ref cons nil cons cons 5641 def 167 ref subst 5642 def 5641 remove 334 ref subst 5643 def nil 5624 remove 322 remove cons nil cons cons 175 ref subst nil 139 ref 5623 ref cons nil cons nil cons cons 4724 remove subst 3111 remove 4728 remove subst trans 215 ref 48 ref 216 ref 4730 remove 222 ref appThm appThm 4734 ref 222 ref appThm appThm nil 139 ref 3436 remove nil cons cons nil cons nil cons cons 402 remove subst trans absThm appThm nil 404 remove 508 ref cons nil cons nil cons cons 432 remove subst trans trans sym 145 ref eqMp eqMp 5644 def nil 151 ref 5629 ref cons 5645 def nil cons nil cons cons 348 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 4751 remove cons 5646 def 153 ref 5629 ref cons nil cons 5647 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 5638 remove cons 5647 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 5633 ref 797 ref appTerm appTerm 5615 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5634 remove appTerm 5615 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5633 remove nil cons cons 5647 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 5627 ref cons 5648 def 5647 remove cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 71 ref 5610 ref appTerm 5615 ref appTerm nil cons cons 111 ref 71 ref 5615 remove appTerm 5610 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 5629 remove cons 5649 def 111 ref 5627 ref cons nil cons 5650 def cons nil cons cons 5651 def 126 ref subst 5651 remove 194 ref subst nil 5649 remove 3079 remove cons nil cons cons 175 ref subst nil 22 ref 5613 ref nil cons cons nil cons nil cons cons 5652 def 3107 remove subst eqMp nil 2200 remove 5650 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 493 ref 4745 remove 5610 ref appTerm 5653 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 5653 remove nil cons cons nil cons nil cons cons 146 ref subst nil 4748 remove 5650 ref cons nil cons cons 5654 def 126 ref subst 5654 remove 194 ref subst 4750 remove nil 4752 remove 5650 remove cons nil cons cons 5655 def 175 ref subst proveHyp 5655 ref 126 ref subst 5655 remove 194 ref subst 5642 remove 5643 remove 5644 remove nil 5648 remove nil cons nil cons cons 348 remove subst proveHyp proveHyp proveHyp eqMp nil 5646 remove 153 ref 5627 remove cons nil cons 5656 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 4755 remove 5656 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4058 ref 5610 ref appTerm absTerm appTerm nil cons cons 111 ref 4059 ref 5610 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2196 ref 5656 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 5645 remove 5656 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 5623 ref cons 153 ref 5622 ref cons nil cons 5657 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 257 ref 48 ref 4048 remove 5616 ref appTerm 5658 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5658 remove nil cons cons nil cons nil cons cons 146 ref subst nil 4051 remove 5625 ref cons nil cons cons 5659 def 126 ref subst 5659 remove 194 ref subst 4053 remove nil 3117 remove 5625 ref cons nil cons cons 175 ref subst proveHyp 26 ref 2207 remove 5616 ref appTerm absTerm 5660 def 41 ref appTerm 5661 def betaConv 5662 def 29 ref 99 ref 5660 ref appTerm 5663 def absTerm 5664 def 39 ref appTerm 5665 def betaConv 5666 def 48 ref 99 ref 5664 ref appTerm 5667 def absTerm 5668 def 57 ref appTerm 5669 def betaConv 5670 def nil 208 ref 29 ref 99 ref 26 ref 2220 remove 5616 ref appTerm 5671 def absTerm 5672 def appTerm 5673 def absTerm 5674 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5673 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5672 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5671 remove nil cons cons nil cons nil cons cons 146 ref subst 4771 remove 5616 ref refl 5675 def appThm sym nil 4774 remove 5625 remove cons nil cons cons 5676 def 126 ref subst 5676 remove 194 ref subst 4778 remove 4779 remove 155 ref 38 ref refl 5677 def 4829 ref 54 ref refl 1063 ref appThm 221 ref trans appThm 4780 remove trans appThm 2269 ref appThm 434 ref trans appThm 5614 ref refl 1063 ref appThm 2269 ref appThm 5652 ref 434 remove subst trans appThm 4781 remove trans sym 145 ref eqMp proveHyp proveHyp eqMp nil 4782 remove 5657 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 5674 remove appTerm 5678 def nil cons cons 111 ref 65 ref 48 ref 71 ref 5667 ref appTerm 99 ref 29 ref 99 ref 26 ref 2274 remove 5616 ref appTerm 5679 def absTerm 5680 def appTerm 5681 def absTerm 5682 def appTerm 5683 def appTerm 5684 def absTerm 5685 def appTerm 5686 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 5685 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5684 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5667 remove nil cons 5687 def cons 5688 def 111 ref 5683 remove nil cons 5689 def cons nil cons cons nil cons cons 5690 def 126 ref subst 5690 remove 194 ref subst nil 208 ref 5682 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5681 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5680 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5679 remove nil cons cons nil cons nil cons cons 146 ref subst nil 1340 ref 5622 ref cons 2289 remove cons nil cons cons 2249 ref subst 1095 ref 2290 ref 5675 remove appThm appThm trans sym nil 262 ref 2291 ref 2294 ref 2299 ref 5616 ref appTerm 5691 def appTerm 5692 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 5692 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2303 ref 111 ref 5691 ref nil cons 5693 def cons nil cons 5694 def cons nil cons cons 5695 def 126 ref subst 5695 remove 194 ref subst 2307 ref nil 2312 ref 5694 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2313 ref 2316 ref 5691 ref appTerm 5696 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 5696 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2319 ref 5694 ref cons nil cons cons 5697 def 126 ref subst 5697 remove 194 ref subst 2321 ref nil 2328 ref 5694 remove cons nil cons cons 5698 def 175 ref subst proveHyp 5698 ref 126 ref subst 5698 remove 194 ref subst 2332 ref 2333 ref 36 ref "_31988" 2 ref var 5699 def 2299 ref 36 ref 38 ref 4523 ref 54 ref 5699 remove varTerm 5700 def appTerm appTerm appTerm 41 ref appTerm appTerm 5614 ref 5700 remove appTerm 41 ref appTerm appTerm appTerm absTerm 5701 def 39 ref appTerm 5702 def appTerm refl 5701 ref 2322 ref appTerm betaConv appThm 155 ref 5702 remove betaConv appThm 2299 ref 36 ref 38 ref 4523 ref 3350 remove appTerm appTerm 5703 def 41 ref appTerm appTerm 5614 ref 2322 ref appTerm 5704 def 41 ref appTerm appTerm 5705 def appTerm 5706 def refl appThm trans 5701 remove refl 2342 ref appThm eqMp sym nil 262 ref 2343 ref 2346 ref 5705 ref appTerm 5707 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 5707 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2349 ref 111 ref 5705 ref nil cons 5708 def cons nil cons 5709 def cons nil cons cons 5710 def 126 ref subst 5710 remove 194 ref subst 2353 ref nil 2359 ref 5709 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2360 ref 2363 ref 5705 ref appTerm 5711 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 5711 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2366 ref 5709 ref cons nil cons cons 5712 def 126 ref subst 5712 remove 194 ref subst 2368 ref nil 2376 ref 5709 remove cons nil cons cons 5713 def 175 ref subst proveHyp 5713 ref 126 ref subst 5713 remove 194 ref subst 2382 ref 2383 ref 36 ref "_31992" 2 ref var 5714 def 36 ref 5703 ref 5714 remove varTerm 5715 def appTerm appTerm 5704 ref 5715 remove appTerm appTerm absTerm 5716 def 41 ref appTerm 5717 def appTerm refl 5716 ref 2369 ref appTerm betaConv appThm 155 ref 5717 remove betaConv appThm 36 ref 5703 remove 2369 ref appTerm appTerm 5704 remove 2369 ref appTerm appTerm refl appThm trans 5716 remove refl 2392 ref appThm eqMp sym 155 ref 5677 remove 4829 remove 3365 remove 1288 ref 3366 remove appThm 3367 remove appThm trans 5718 def appThm nil 3369 ref 4196 ref cons nil cons cons 5719 def 4840 remove subst 4841 remove 4523 ref 2324 ref appTerm 5720 def refl appThm trans trans appThm 3035 ref appThm nil 2313 ref 5720 ref nil cons cons 2291 ref 4544 remove cons nil cons cons nil cons cons 3945 ref subst trans appThm 5652 remove 3945 ref subst 216 ref 5613 remove 2292 ref appTerm betaConv 5350 remove appThm 5612 remove 2344 ref appTerm betaConv trans appThm 5614 remove 2314 ref appTerm 2361 ref appTerm 5721 def refl appThm trans appThm sym 49 ref 5611 remove 2344 ref appTerm appTerm refl 2421 remove sym 145 ref eqMp nil 3447 remove 111 ref 36 ref 38 ref 5720 remove appTerm 2361 ref appTerm appTerm 5721 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 3956 remove 5662 remove 5666 remove nil 5688 remove 111 ref 5665 remove nil cons cons nil cons cons nil cons cons 175 ref subst 5722 def 207 ref 208 ref 5664 remove nil cons cons 210 ref cons nil cons cons 205 ref subst 5723 def eqMp eqMp nil 110 ref 5663 remove nil cons cons 111 ref 5661 remove nil cons cons nil cons cons nil cons cons 175 ref subst 5724 def proveHyp 207 ref 208 ref 5660 remove nil cons cons 213 ref cons nil cons cons 205 ref subst 5725 def eqMp eqMp subst eqMp appThm eqMp eqMp proveHyp proveHyp eqMp nil 2747 ref 153 ref 5708 remove cons nil cons 5726 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2749 ref 5726 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 2750 ref 5705 ref appTerm absTerm appTerm nil cons cons 111 ref 2751 ref 5705 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2752 ref 5726 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2753 ref 5726 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 2754 ref 5705 remove appTerm absTerm appTerm nil cons cons 111 ref 5706 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 2755 ref 5726 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2756 ref 153 ref 5693 remove cons nil cons 5727 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2758 ref 5727 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 2759 ref 5691 ref appTerm absTerm appTerm nil cons cons 111 ref 2760 ref 5691 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2761 ref 5727 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2762 ref 5727 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 1894 ref 5691 ref appTerm absTerm appTerm nil cons cons 111 ref 1895 ref 5691 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 1896 ref 5727 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 5687 remove cons 153 ref 5689 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 5678 remove appTerm 5686 remove appTerm nil cons cons 111 ref 65 ref 5668 ref appTerm nil cons 5728 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 5668 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 5670 ref appThm 5668 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 5670 remove absThm appThm appThm nil 1024 ref 5668 remove nil cons 5729 def cons nil cons nil cons cons 1904 ref subst eqMp eqMp nil 110 ref 5728 remove cons 111 ref 5669 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 5729 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 5722 remove proveHyp 5723 remove eqMp eqMp 5724 remove proveHyp 5725 remove eqMp eqMp eqMp eqMp nil 4057 remove 5657 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4058 remove 5616 ref appTerm absTerm appTerm nil cons cons 111 ref 4059 remove 5616 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 2196 remove 5657 remove cons nil cons cons 811 ref subst eqMp 1881 remove 2198 remove appTerm 5730 def betaConv 1884 remove nil 1885 remove 111 ref 5730 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 1886 remove 347 ref 2199 ref cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 151 ref 2199 remove cons 153 ref 5623 remove cons 1335 ref 5622 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp 5731 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 108 ref 5621 remove appTerm thm nil 208 ref 29 ref 65 ref 66 ref 821 remove absTerm 5732 def appTerm 5733 def absTerm 5734 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5733 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 5732 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 822 remove cons nil cons nil cons cons 146 ref subst 820 remove eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5734 remove appTerm thm nil 262 ref 227 ref 99 ref 29 ref 65 ref 66 ref 68 ref 1170 ref 36 ref 3972 remove 1216 ref appTerm 1181 ref appTerm appTerm 75 ref 1181 remove appTerm appTerm 5735 def absTerm 5736 def appTerm 5737 def absTerm 5738 def appTerm 5739 def absTerm 5740 def appTerm 5741 def absTerm 5742 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 5741 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5740 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5739 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 5738 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 5737 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5736 remove nil cons cons nil cons nil cons cons 663 ref subst 1170 ref nil 139 ref 5735 remove nil cons cons nil cons nil cons cons 146 ref subst 1296 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 5742 remove appTerm thm 5335 remove nil 588 ref 5334 remove appTerm thm nil 208 ref 29 ref 65 ref 48 ref 99 ref 26 ref 71 ref 59 ref 10 ref 4524 ref appTerm 5743 def 41 ref appTerm appTerm appTerm 900 remove 4524 ref appTerm 5744 def 41 ref appTerm appTerm 5745 def absTerm 5746 def appTerm 5747 def absTerm 5748 def appTerm 5749 def absTerm 5750 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5749 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 5748 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5747 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5746 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5745 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4627 ref 19 ref 4629 ref appThm 998 ref appThm appThm appThm 2162 remove 4629 remove appThm 998 ref appThm 541 ref 5416 ref subst trans appThm sym nil 5418 remove 111 ref 71 ref 59 ref 18 ref 4524 ref appTerm 41 ref appTerm 5751 def appTerm appTerm 59 ref 16 ref 263 ref 1001 ref 2166 remove 4542 ref appTerm 1002 ref appTerm 5752 def absTerm absTerm 5753 def appTerm 39 ref appTerm 41 ref appTerm 5754 def appTerm appTerm nil cons 5755 def cons nil cons 5756 def cons nil cons cons 5757 def 126 ref subst 5757 remove 194 ref subst 226 ref 5426 ref 5751 ref refl appThm nil 139 ref 5751 remove nil cons cons nil cons nil cons cons 359 ref subst trans appThm 5426 remove 5754 ref refl 5758 def appThm nil 139 ref 5754 ref nil cons 5759 def cons nil cons nil cons cons 5760 def 359 remove subst trans appThm 5434 remove trans sym 145 ref eqMp eqMp nil 5435 remove 153 ref 5755 ref cons nil cons 5761 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 5437 remove 5756 remove cons nil cons cons 5762 def 126 ref subst 5762 remove 194 ref subst 36 ref "_32134" 44 ref var 5763 def 71 ref 49 ref 56 ref 5763 remove varTerm 5764 def appTerm appTerm 5765 def 18 ref 4523 remove 5764 remove appTerm appTerm 41 ref appTerm appTerm appTerm 5765 remove 5754 ref appTerm appTerm absTerm 5766 def 57 ref appTerm 5767 def appTerm refl 5766 ref 55 ref appTerm betaConv appThm 155 ref 5767 remove betaConv appThm 71 ref 5444 ref 18 remove 5609 remove appTerm 41 ref appTerm appTerm appTerm 5444 remove 5754 remove appTerm appTerm refl appThm trans 5766 remove refl 4044 ref appThm eqMp sym 226 ref 660 ref 25 ref 5731 remove subst appThm nil 139 ref 16 remove 263 ref 1001 ref 17 remove 4542 ref appTerm 1002 ref appTerm 5768 def absTerm 5769 def absTerm 5770 def appTerm 39 ref appTerm 41 ref appTerm 5771 def nil cons 5772 def cons nil cons nil cons cons 5773 def 527 ref subst trans appThm 660 remove 5758 remove appThm 5760 remove 527 ref subst trans appThm sym nil 110 ref 5772 ref cons 111 ref 5759 ref cons nil cons 5774 def cons nil cons cons 5775 def 126 ref subst 5775 remove 194 ref subst 22 ref 49 ref 68 ref 69 ref 68 ref 70 ref 5450 remove 5753 ref 76 ref appTerm 5776 def 81 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 42 remove appTerm absTerm 5777 def 5770 ref appTerm betaConv sym 216 ref 225 ref 69 ref 225 ref 70 ref 226 ref 5770 ref 76 ref appTerm betaConv 1730 ref appThm 5769 remove 81 ref appTerm betaConv trans appThm 5776 remove betaConv 1730 remove appThm 1001 ref 2170 remove 4542 remove appTerm 1002 ref appTerm absTerm 81 ref appTerm betaConv trans appThm nil 823 ref 5454 ref nil cons cons nil cons cons nil 139 ref 71 ref 5768 remove appTerm 5752 remove appTerm 5778 def nil cons cons nil cons nil cons cons 146 ref subst 1001 ref 5778 remove absTerm 5779 def 1002 ref appTerm 5780 def betaConv 263 ref 68 ref 5779 ref appTerm 5781 def absTerm 5782 def 627 ref appTerm 5783 def betaConv nil 68 ref 5782 ref appTerm 5784 def axiom nil 110 ref 5784 remove nil cons cons 111 ref 5783 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5782 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5781 remove nil cons cons 111 ref 5780 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5779 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp subst trans absThm appThm 390 ref trans absThm appThm 390 remove trans appThm 5773 remove 146 ref subst 5771 remove assume eqMp appThm 528 ref trans sym 145 ref eqMp eqMp 177 remove 178 ref 5777 ref nil cons cons 179 remove 5770 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp nil 110 ref 5465 remove 5777 remove appTerm nil cons cons 5774 remove cons nil cons cons 175 ref subst proveHyp nil 5466 ref 5753 remove nil cons cons nil cons nil cons cons 5570 remove subst eqMp eqMp nil 151 ref 5772 remove cons 153 ref 5759 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3086 ref 5761 remove cons nil cons cons 167 ref subst deductAntisym eqMp 5573 remove nil 3086 ref 5574 remove 1335 ref 5755 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp proveHyp eqMp 5785 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5750 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 2768 ref appTerm 5786 def 58 ref appTerm 5787 def appTerm 550 ref appTerm 5788 def absTerm 5789 def appTerm 5790 def absTerm 5791 def appTerm 5792 def absTerm 5793 def appTerm 5794 def absTerm 5795 def nil cons cons 5796 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5794 remove nil cons 5797 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5793 ref nil cons cons 5798 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5792 remove nil cons 5799 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5791 ref nil cons cons 5800 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5790 remove nil cons 5801 def cons nil cons nil cons cons 146 ref subst nil 257 ref 5789 ref nil cons cons 5802 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5788 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 2164 ref appThm 5803 def 4032 ref appThm appThm 550 ref refl 5804 def appThm sym 541 ref nil 110 ref 4846 remove 58 ref appTerm 5805 def nil cons 5806 def cons 111 ref 4681 ref cons nil cons 5807 def cons nil cons cons 5808 def 126 ref subst 5808 remove 194 ref subst nil 151 ref 548 ref nil cons 5809 def cons 5810 def 4037 remove cons nil cons cons 5811 def 167 ref subst 5811 remove 334 ref subst 36 ref "_31998" 44 ref var 5812 def 549 ref 5812 remove varTerm appTerm absTerm 5813 def 57 ref appTerm 5814 def appTerm refl 5815 def 5813 ref 55 ref appTerm betaConv appThm 155 ref 5814 remove betaConv appThm 5816 def 549 ref 55 ref appTerm 5817 def refl 5818 def appThm trans 5813 remove refl 5819 def 4044 remove appThm eqMp sym 4699 ref nil 110 ref 5015 remove cons 5820 def 111 ref 5817 ref nil cons 5821 def cons nil cons 5822 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 5809 ref cons nil cons nil cons cons 146 ref subst 548 ref assume eqMp appThm 4662 ref appThm nil 139 ref 4668 remove cons nil cons nil cons cons 840 ref subst trans appThm 5823 def 5818 remove appThm sym nil 257 ref 48 ref 71 ref 4686 ref appTerm 5817 ref appTerm 5824 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5824 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 4686 ref nil cons 5825 def cons 5822 ref cons nil cons cons 5826 def 126 ref subst 5826 remove 194 ref subst 4687 ref 4686 remove assume eqMp nil 110 ref 4659 ref nil cons 5827 def cons 5828 def 5822 remove cons nil cons cons 5829 def 175 ref subst proveHyp 5829 ref 126 ref subst 5829 remove 194 ref subst nil 3086 ref 153 ref 4658 ref nil cons 5830 def cons nil cons 5831 def cons nil cons cons 5832 def 167 ref subst 5832 remove 334 ref subst 5833 def nil 3090 remove 153 ref 4681 ref cons nil cons 5834 def cons nil cons cons 5835 def 334 ref subst 5836 def 4689 ref 3095 remove appThm 2416 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 5827 ref cons 5837 def 153 ref 5821 remove cons nil cons 5838 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5825 remove cons 5838 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 4660 remove 797 ref appTerm appTerm 5817 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 4661 ref appTerm 5817 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4692 remove 5838 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 5806 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp 5839 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp 5840 def eqMp absThm eqMp eqMp absThm eqMp 5841 def nil 99 ref 5795 ref appTerm 5842 def thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 2785 ref appTerm 5843 def 58 ref appTerm 5844 def appTerm 550 ref appTerm 5845 def absTerm 5846 def appTerm 5847 def absTerm 5848 def appTerm 5849 def absTerm 5850 def appTerm 5851 def absTerm 5852 def nil cons cons 5853 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5851 remove nil cons 5854 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5850 ref nil cons cons 5855 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5849 remove nil cons 5856 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5848 ref nil cons cons 5857 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5847 remove nil cons 5858 def cons nil cons nil cons cons 146 ref subst nil 257 ref 5846 ref nil cons cons 5859 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5845 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 2777 ref appThm 5860 def 4032 ref appThm appThm 5804 ref appThm sym 611 ref 5839 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5861 def nil 99 ref 5852 ref appTerm 5862 def thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 2797 ref appTerm 5863 def 58 ref appTerm 5864 def appTerm 550 ref appTerm 5865 def absTerm 5866 def appTerm 5867 def absTerm 5868 def appTerm 5869 def absTerm 5870 def appTerm 5871 def absTerm 5872 def nil cons cons 5873 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5871 remove nil cons 5874 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5870 ref nil cons cons 5875 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5869 remove nil cons 5876 def cons nil cons nil cons cons 146 ref subst nil 208 ref 5868 ref nil cons cons 5877 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 5867 remove nil cons 5878 def cons nil cons nil cons cons 146 ref subst nil 257 ref 5866 ref nil cons cons 5879 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5865 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 2789 ref appThm 5880 def 4032 ref appThm appThm 5804 ref appThm sym 620 ref 5839 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 5881 def nil 99 ref 5872 ref appTerm 5882 def thm 1683 remove nil 1684 remove thm nil 262 ref 1943 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 1945 ref 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm appTerm 4018 ref appTerm 5883 def absTerm 5884 def appTerm 5885 def absTerm 5886 def appTerm 5887 def absTerm 5888 def appTerm 5889 def absTerm 5890 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 5889 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5888 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 5887 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5886 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 5885 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5884 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 5883 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 1953 ref 1968 remove appThm 1969 remove appThm 3991 remove appThm appThm 4018 ref refl appThm sym nil 1955 ref 3993 remove 1971 remove 1166 remove 1956 ref cons cons cons cons nil cons cons 2537 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 5890 remove appTerm thm nil 178 ref 22 ref 99 ref 29 ref 99 ref 26 ref 65 ref 48 ref 71 ref 4034 remove appTerm 62 ref appTerm 5891 def absTerm 5892 def appTerm 5893 def absTerm 5894 def appTerm 5895 def absTerm 5896 def appTerm 5897 def absTerm 5898 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 5897 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5896 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 5895 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5894 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 5893 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 5892 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 5891 remove nil cons cons nil cons nil cons cons 146 ref subst 4061 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 108 ref 5898 remove appTerm thm nil 178 ref 22 ref 3361 remove absTerm 5899 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 3362 remove cons nil cons nil cons cons 146 ref subst 3360 remove eqMp absThm eqMp nil 108 ref 5899 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 71 ref 49 ref 10 ref 1449 ref appTerm 1446 ref appTerm appTerm 10 ref 1457 ref appTerm 1454 ref appTerm appTerm appTerm 10 ref 1466 ref appTerm 1463 ref appTerm appTerm 5900 def absTerm 5901 def appTerm 5902 def absTerm 5903 def appTerm 5904 def absTerm 5905 def appTerm 5906 def absTerm 5907 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 5906 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5905 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 5904 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5903 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 5902 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5901 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 5900 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 19 ref 1449 ref refl 5908 def appThm 1446 ref refl 5909 def appThm appThm 19 ref 1457 ref refl 5910 def appThm 1454 ref refl 5911 def appThm appThm appThm 19 ref 1466 ref refl 5912 def appThm 1463 ref refl 5913 def appThm appThm sym 25 ref 1890 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5907 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 71 ref 49 ref 436 ref 1449 ref appTerm 1446 ref appTerm appTerm 436 ref 1457 ref appTerm 1454 ref appTerm appTerm appTerm 436 ref 1466 ref appTerm 1463 ref appTerm appTerm 5914 def absTerm 5915 def appTerm 5916 def absTerm 5917 def appTerm 5918 def absTerm 5919 def appTerm 5920 def absTerm 5921 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 5920 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5919 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 5918 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5917 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 5916 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5915 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 5914 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 439 ref 5908 ref appThm 5909 ref appThm appThm 439 ref 5910 ref appThm 5911 ref appThm appThm appThm 439 ref 5912 ref appThm 5913 ref appThm appThm sym 441 ref 1890 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5921 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 71 ref 49 ref 442 ref 1449 ref appTerm 1446 ref appTerm appTerm 442 ref 1457 ref appTerm 1454 ref appTerm appTerm appTerm 442 ref 1466 ref appTerm 1463 ref appTerm appTerm 5922 def absTerm 5923 def appTerm 5924 def absTerm 5925 def appTerm 5926 def absTerm 5927 def appTerm 5928 def absTerm 5929 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 5928 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5927 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 5926 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5925 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 5924 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5923 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 5922 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 445 ref 5908 ref appThm 5909 ref appThm appThm 445 ref 5910 ref appThm 5911 ref appThm appThm appThm 445 ref 5912 ref appThm 5913 ref appThm appThm sym 447 ref 1890 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5929 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 71 ref 49 ref 448 ref 1449 ref appTerm 1454 ref appTerm appTerm 448 ref 1457 ref appTerm 1446 ref appTerm appTerm appTerm 448 remove 1466 ref appTerm 1463 ref appTerm appTerm 5930 def absTerm 5931 def appTerm 5932 def absTerm 5933 def appTerm 5934 def absTerm 5935 def appTerm 5936 def absTerm 5937 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 5936 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5935 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 5934 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5933 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 5932 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 5931 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 5930 remove nil cons cons nil cons nil cons cons 146 ref subst 4515 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 5937 remove appTerm thm nil 262 ref 227 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 860 ref 243 ref appTerm 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 5938 def appTerm "Hardware.and3" const 1946 ref constTerm 5939 def 233 ref appTerm 627 ref appTerm 1002 ref appTerm 2168 ref appTerm 5940 def appTerm 5941 def absTerm 5942 def appTerm 5943 def absTerm 5944 def appTerm 5945 def absTerm 5946 def appTerm 5947 def absTerm 5948 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 5947 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5946 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 5945 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5944 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 5943 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 5942 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 5941 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref nil 542 ref 3983 ref nil cons cons 26 ref 2462 ref cons 29 ref 1153 remove cons 5949 def 857 ref 267 remove cons nil cons cons cons cons nil cons cons 5950 def 887 ref subst appThm 2165 ref 36 ref 5940 remove appTerm 5951 def 1000 ref "wx" 11 ref var 5952 def 49 ref 536 ref 233 ref appTerm 5953 def 627 ref appTerm 5952 ref varTerm 5954 def appTerm 5955 def appTerm 5956 def 536 ref 5954 ref appTerm 1002 ref appTerm 2168 ref appTerm 5957 def appTerm 5958 def absTerm 5959 def appTerm 5960 def appTerm absTerm 5961 def 2168 ref appTerm 5962 def betaConv 1001 ref 68 ref 5961 ref appTerm 5963 def absTerm 5964 def 1002 ref appTerm 5965 def betaConv 263 ref 68 ref 5964 ref appTerm 5966 def absTerm 5967 def 627 ref appTerm 5968 def betaConv 227 ref 68 ref 5967 ref appTerm 5969 def absTerm 5970 def 233 ref appTerm 5971 def betaConv nil 68 ref 5970 ref appTerm 5972 def axiom nil 110 ref 5972 remove nil cons cons 111 ref 5971 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5970 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5969 remove nil cons cons 111 ref 5968 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5967 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5966 remove nil cons cons 111 ref 5965 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5964 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5963 remove nil cons cons 111 ref 5962 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 5961 remove nil cons cons 263 ref 3992 remove cons nil cons 5973 def cons nil cons cons 205 ref subst eqMp eqMp appThm sym nil 110 ref 725 ref 863 ref 49 ref 532 ref 243 ref appTerm 5974 def 1151 ref appTerm 5975 def 866 ref appTerm appTerm 5976 def 869 ref 1963 ref appTerm 3983 ref appTerm appTerm absTerm 5977 def appTerm 5978 def nil cons 5979 def cons 111 ref 5960 ref nil cons 5980 def cons nil cons 5981 def cons nil cons cons 335 ref subst nil 208 ref "bwx" 2 ref var 5982 def 71 ref 5977 ref 5982 ref varTerm 5983 def appTerm 5984 def appTerm 5960 ref appTerm 5985 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 5982 ref nil 139 ref 5985 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 5984 ref nil cons 5986 def cons 5981 ref cons nil cons cons 5987 def 126 ref subst 5987 remove 194 ref subst 5984 ref betaConv 5984 remove assume eqMp nil 110 ref 49 ref 5975 ref 5983 ref appTerm 5988 def appTerm 5989 def 532 ref 5983 ref appTerm 1963 ref appTerm 3983 ref appTerm 5990 def appTerm nil cons 5991 def cons 5981 ref cons nil cons cons 5992 def 175 ref subst proveHyp 5992 ref 126 ref subst 5992 remove 194 ref subst nil 151 ref 5988 ref nil cons 5993 def cons 5994 def 153 ref 5990 ref nil cons cons nil cons cons nil cons cons 5995 def 167 ref subst 5995 remove 334 ref subst "y" 44 ref var 5996 def 49 ref 52 ref 54 ref 5983 ref appTerm 5997 def appTerm 5998 def 5996 ref varTerm 5999 def appTerm appTerm 52 ref 5999 remove appTerm 240 ref appTerm appTerm absTerm 6000 def 1156 ref appTerm betaConv sym 6001 def 29 ref 725 ref 26 ref 49 ref 901 ref 5983 ref appTerm appTerm 56 ref 1156 ref appTerm 6002 def appTerm absTerm appTerm absTerm 6003 def 243 ref appTerm betaConv sym 26 ref 49 ref 5974 ref 41 ref appTerm 6004 def 5983 ref appTerm appTerm 1157 remove 1156 ref appTerm 6005 def appTerm absTerm 6006 def 1151 ref appTerm betaConv sym 216 ref nil 139 ref 5993 remove cons nil cons nil cons cons 146 ref subst 5988 remove assume 6007 def eqMp appThm 1921 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6006 remove nil cons cons 5949 remove nil cons 6008 def cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6003 ref nil cons cons 1154 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 6003 remove appTerm nil cons cons 111 ref 5998 ref 1156 remove appTerm nil cons 6009 def cons nil cons 6010 def cons nil cons cons 175 ref subst proveHyp nil 48 ref 1919 remove cons 542 ref 5983 ref nil cons 6011 def cons nil cons cons nil cons cons 6012 def 48 ref 71 ref 725 ref 29 ref 725 ref 26 ref 5787 ref absTerm 6013 def appTerm 6014 def absTerm 6015 def appTerm 6016 def appTerm 6017 def 550 ref appTerm 6018 def absTerm 6019 def 57 ref appTerm 6020 def betaConv 542 ref 65 ref 6019 ref appTerm 6021 def absTerm 6022 def 547 ref appTerm 6023 def betaConv 5841 ref nil 110 ref 5842 ref nil cons 6024 def cons 6025 def 111 ref 99 ref 6022 ref appTerm nil cons 6026 def cons nil cons cons nil cons cons 6027 def 175 ref subst proveHyp 6027 ref 126 ref subst 6027 remove 194 ref subst nil 208 ref 6022 remove nil cons cons 6028 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6021 remove nil cons 6029 def cons nil cons nil cons cons 146 ref subst nil 257 ref 6019 remove nil cons cons 6030 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6018 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6016 remove nil cons 6031 def cons 6032 def 5807 ref cons nil cons cons 6033 def 126 ref subst 6033 remove 194 ref subst nil 6025 ref 5807 ref cons nil cons cons 6034 def 175 ref subst nil 6032 remove 111 ref 71 ref 5842 remove appTerm 550 ref appTerm 6035 def nil cons 6036 def cons nil cons 6037 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 6015 ref 39 ref appTerm 6038 def appTerm 6035 ref appTerm 6039 def absTerm 6040 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6039 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6038 ref nil cons 6041 def cons 6037 ref cons nil cons cons 6042 def 126 ref subst 6042 remove 194 ref subst 6038 ref betaConv 6038 remove assume eqMp nil 110 ref 6014 ref nil cons cons 6037 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 6013 ref 41 ref appTerm 6043 def appTerm 6035 ref appTerm 6044 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6044 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6043 ref nil cons 6045 def cons 6037 ref cons nil cons cons 6046 def 126 ref subst 6046 remove 194 ref subst 6043 ref betaConv 6043 remove assume eqMp nil 110 ref 5787 remove nil cons 6047 def cons 6048 def 6037 remove cons nil cons cons 6049 def 175 ref subst proveHyp 6049 ref 126 ref subst 6049 remove 194 ref subst 6034 ref 126 ref subst 6034 remove 194 ref subst nil 6048 remove 5807 ref cons nil cons cons 175 ref subst 5789 remove 57 ref appTerm 6050 def betaConv 5791 ref 547 ref appTerm 6051 def betaConv 5793 remove 41 ref appTerm 6052 def betaConv 5795 ref 39 ref appTerm 6053 def betaConv nil 6025 ref 111 ref 6053 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 5796 ref 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5797 remove cons 111 ref 6052 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5798 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5799 remove cons 6054 def 111 ref 6051 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5800 ref 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5801 remove cons 111 ref 6050 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5802 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6024 remove cons 6055 def 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 6047 remove cons 153 ref 6036 remove cons nil cons 6056 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6045 remove cons 6056 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 6013 ref 1893 ref appTerm appTerm 6035 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6014 remove appTerm 6035 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6013 remove nil cons cons 6056 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6041 remove cons 6056 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 6040 remove appTerm nil cons cons 111 ref 6017 remove 6035 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6015 remove nil cons cons 6056 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6031 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6055 remove 153 ref 6026 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 6026 remove cons 111 ref 6023 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6028 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6029 remove cons 111 ref 6020 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 6030 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp 6057 def subst eqMp nil 110 ref 6009 remove cons 111 ref 1158 ref nil cons cons nil cons cons nil cons cons 194 ref subst 6058 def proveHyp 1162 ref eqMp eqMp 256 ref 257 ref 6000 ref nil cons cons 1920 remove cons nil cons cons 724 ref subst 6059 def proveHyp nil 110 ref 47 ref 6000 remove appTerm nil cons cons 111 ref 5998 remove 240 ref appTerm 6060 def nil cons cons nil cons cons nil cons cons 175 ref subst 6061 def proveHyp nil "z" 44 ref var 269 remove cons 258 ref 5997 remove nil cons cons nil cons cons nil cons cons 391 ref "z" 181 ref var 6062 def 71 ref 405 remove 413 ref 49 ref 417 ref appTerm 418 remove 6062 ref varTerm 6063 def appTerm appTerm 6064 def absTerm 6065 def appTerm 6066 def appTerm 6067 def 415 remove 6063 ref appTerm 6068 def appTerm 6069 def absTerm 6070 def 6063 ref appTerm 6071 def betaConv 189 ref 184 ref 6070 ref appTerm 6072 def absTerm 6073 def 190 ref appTerm 6074 def betaConv nil 184 ref 189 ref 184 ref 413 ref 184 ref 6062 ref 71 ref 6064 ref appTerm 6068 ref appTerm absTerm 6075 def appTerm 6076 def absTerm 6077 def appTerm 6078 def absTerm 6079 def appTerm 6080 def axiom nil 110 ref 6080 ref nil cons 6081 def cons 6082 def 111 ref 184 ref 6073 ref appTerm nil cons 6083 def cons nil cons cons nil cons cons 6084 def 175 ref subst proveHyp 6084 ref 126 ref subst 6084 remove 194 ref subst nil 185 ref 6073 remove nil cons cons 6085 def nil cons nil cons cons 642 ref subst 189 ref nil 139 ref 6072 remove nil cons 6086 def cons nil cons nil cons cons 146 ref subst nil 185 ref 6070 remove nil cons cons 6087 def nil cons nil cons cons 642 ref subst 6062 remove nil 139 ref 6069 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6066 remove nil cons 6088 def cons 6089 def 111 ref 6068 ref nil cons 6090 def cons nil cons 6091 def cons nil cons cons 6092 def 126 ref subst 6092 remove 194 ref subst nil 6082 ref 6091 ref cons nil cons cons 6093 def 175 ref subst nil 6089 remove 111 ref 71 ref 6080 remove appTerm 6068 remove appTerm 6094 def nil cons 6095 def cons nil cons 6096 def cons nil cons cons 175 ref subst nil 185 ref 413 ref 71 ref 6065 ref 416 ref appTerm 6097 def appTerm 6094 ref appTerm 6098 def absTerm nil cons cons nil cons nil cons cons 642 ref subst 413 ref nil 139 ref 6098 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6097 ref nil cons 6099 def cons 6096 ref cons nil cons cons 6100 def 126 ref subst 6100 remove 194 ref subst 6097 ref betaConv 6097 remove assume eqMp nil 110 ref 6064 remove nil cons 6101 def cons 6102 def 6096 remove cons nil cons cons 6103 def 175 ref subst proveHyp 6103 ref 126 ref subst 6103 remove 194 ref subst 6093 ref 126 ref subst 6093 remove 194 ref subst nil 6102 remove 6091 remove cons nil cons cons 175 ref subst 6075 ref 6063 ref appTerm 6104 def betaConv 6077 ref 416 ref appTerm 6105 def betaConv 6079 ref 190 ref appTerm 6106 def betaConv nil 6082 remove 111 ref 6106 remove nil cons cons nil cons cons nil cons cons 175 ref subst 427 ref 185 ref 6079 remove nil cons cons 428 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6078 remove nil cons cons 111 ref 6105 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 6077 remove nil cons cons 429 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6076 remove nil cons cons 111 ref 6104 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 6075 remove nil cons cons 189 ref 6063 remove nil cons cons nil cons 6107 def cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6081 remove cons 6108 def 153 ref 6090 remove cons nil cons 6109 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 6101 remove cons 153 ref 6095 remove cons nil cons 6110 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6099 remove cons 6110 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 184 ref "x'" 181 ref var 6111 def 71 ref 6065 ref 6111 remove varTerm appTerm appTerm 6094 ref appTerm absTerm appTerm nil cons cons 111 ref 6067 remove 6094 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 6065 remove nil cons cons 6110 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6088 remove cons 6109 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6108 remove 153 ref 6083 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 6083 remove cons 111 ref 6074 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 6085 remove 428 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6086 remove cons 111 ref 6071 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 6087 remove 6107 remove cons nil cons cons 205 ref subst eqMp eqMp 6112 def subst subst 6113 def eqMp 6114 def nil 29 ref 6011 remove cons nil cons nil cons cons 2136 remove 39 ref appTerm 6115 def betaConv 2139 remove nil 2140 remove 111 ref 6115 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2141 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp 6116 def subst 6060 remove assume eqMp 6117 def nil 110 ref 1000 ref 227 ref 278 ref 5983 ref appTerm 6118 def 243 ref appTerm absTerm 6119 def appTerm 6120 def nil cons cons 6121 def 5981 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 5952 ref 71 ref 6119 ref 5954 ref appTerm 6122 def appTerm 6123 def 5960 ref appTerm 6124 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6124 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6122 ref nil cons 6125 def cons 6126 def 5981 ref cons nil cons cons 6127 def 126 ref subst 6127 remove 194 ref subst 6122 ref betaConv 6122 remove assume eqMp 6128 def nil 110 ref 6118 remove 242 ref 5954 ref appTerm 6129 def appTerm 6130 def nil cons 6131 def cons 6132 def 5981 remove cons nil cons cons 6133 def 175 ref subst proveHyp 6133 ref 126 ref subst 6133 remove 194 ref subst 5959 ref 5954 ref appTerm 6134 def betaConv 6135 def sym 216 ref nil 2165 ref 5954 ref nil cons 6136 def cons 1001 ref 1165 remove cons 265 ref cons cons nil cons cons 6137 def 2165 ref 36 ref 2169 remove appTerm 3984 remove appTerm 6138 def absTerm 6139 def 2168 ref appTerm 6140 def betaConv 1001 ref 68 ref 6139 ref appTerm 6141 def absTerm 6142 def 1002 ref appTerm 6143 def betaConv 263 ref 68 ref 6142 ref appTerm 6144 def absTerm 6145 def 627 ref appTerm 6146 def betaConv 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 6138 remove assume sym 3985 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 3995 remove eqMp nil 110 ref 68 ref 6145 ref appTerm nil cons cons 111 ref 6146 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6145 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6144 remove nil cons cons 111 ref 6143 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6142 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6141 remove nil cons cons 111 ref 6140 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6139 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 6147 def subst nil 139 ref 5975 ref 6129 ref appTerm 6148 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32168" 2 ref var 6149 def 5975 remove 6149 remove varTerm appTerm absTerm 6150 def 5983 ref appTerm 6151 def appTerm refl 6150 ref 6129 ref appTerm betaConv appThm 155 ref 6151 remove betaConv appThm 6148 ref refl appThm trans 6150 remove refl 6130 remove assume 6152 def appThm eqMp 6007 remove eqMp eqMp trans appThm 6153 def nil 263 ref 6136 ref cons nil cons 6154 def nil cons cons 6155 def 6147 ref subst nil 139 ref 532 ref 6129 ref appTerm 1963 ref appTerm 3983 ref appTerm 6156 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32170" 2 ref var 6157 def 532 ref 6157 remove varTerm appTerm 1963 ref appTerm 3983 ref appTerm absTerm 6158 def 5983 ref appTerm 6159 def appTerm refl 6158 ref 6129 ref appTerm betaConv appThm 155 ref 6159 remove betaConv appThm 6156 remove refl appThm trans 6158 remove refl 6152 ref appThm eqMp 5990 remove assume eqMp eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 261 ref 262 ref 5959 ref nil cons cons 6160 def 6154 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 6131 remove cons 6161 def 153 ref 5980 remove cons nil cons 6162 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6125 remove cons 6163 def 6162 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref "x'" 11 ref var 6164 def 71 ref 6119 ref 6164 ref varTerm 6165 def appTerm appTerm 6166 def 5960 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6120 remove appTerm 6167 def 5960 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6119 remove nil cons cons 6168 def 6162 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 5991 remove cons 6162 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 5986 remove cons 6162 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 5977 ref 39 ref appTerm appTerm 5960 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 5978 ref appTerm 5960 ref appTerm nil cons 6169 def cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 5977 ref nil cons cons 6170 def 6162 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 6169 remove cons 111 ref 71 ref 5960 remove appTerm 5978 ref appTerm nil cons cons nil cons 6171 def cons nil cons cons 194 ref subst proveHyp nil 262 ref 5952 ref 71 ref 6134 ref appTerm 5978 ref appTerm 6172 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6172 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6134 ref nil cons 6173 def cons 111 ref 5979 ref cons nil cons 6174 def cons nil cons cons 6175 def 126 ref subst 6175 remove 194 ref subst 6135 remove 6134 remove assume eqMp nil 110 ref 5958 remove nil cons 6176 def cons 6174 remove cons nil cons cons 6177 def 175 ref subst proveHyp 6177 ref 126 ref subst 6177 remove 194 ref subst nil 151 ref 5955 ref nil cons 6178 def cons 6179 def 153 ref 5957 ref nil cons 6180 def cons nil cons cons nil cons cons 6181 def 167 ref subst 6181 remove 334 ref subst 5977 remove 6129 ref appTerm betaConv sym 216 ref 6137 ref 3994 ref subst nil 139 ref 6178 remove cons nil cons nil cons cons 146 ref subst 5955 remove assume eqMp trans appThm 6182 def 6155 ref 3994 ref subst nil 139 ref 6180 remove cons nil cons nil cons cons 146 ref subst 5957 remove assume eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6170 remove 29 ref 6129 ref nil cons cons nil cons 6183 def cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 6176 remove cons 153 ref 5979 remove cons nil cons 6184 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6173 remove cons 6184 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 5959 remove 6165 ref appTerm appTerm 5978 remove appTerm absTerm appTerm nil cons cons 6171 remove cons nil cons cons 175 ref subst proveHyp 261 ref 6160 remove 6184 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6185 def nil 68 ref 5948 remove appTerm thm nil 262 ref 227 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 892 ref 243 ref appTerm 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 6186 def appTerm "Hardware.majority3" const 1946 ref constTerm 6187 def 233 ref appTerm 627 ref appTerm 1002 ref appTerm 2168 ref appTerm 6188 def appTerm 6189 def absTerm 6190 def appTerm 6191 def absTerm 6192 def appTerm 6193 def absTerm 6194 def appTerm 6195 def absTerm 6196 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 6195 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6194 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 6193 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6192 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 6191 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6190 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 6189 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref 5950 ref 931 ref subst appThm 2165 ref 36 ref 6188 remove appTerm 6197 def 1000 ref 5952 ref 1000 ref "wy" 11 ref var 6198 def 1000 ref "xy" 11 ref var 6199 def 5956 remove 49 ref 5953 remove 1002 ref appTerm 6198 ref varTerm 6200 def appTerm 6201 def appTerm 49 ref 2167 remove 6199 ref varTerm 6202 def appTerm 6203 def appTerm "Hardware.or3" const 1946 ref constTerm 6204 def 5954 ref appTerm 6200 ref appTerm 6202 ref appTerm 2168 ref appTerm 6205 def appTerm 6206 def appTerm 6207 def appTerm 6208 def absTerm 6209 def appTerm 6210 def absTerm 6211 def appTerm 6212 def absTerm 6213 def appTerm 6214 def appTerm absTerm 6215 def 2168 ref appTerm 6216 def betaConv 1001 ref 68 ref 6215 ref appTerm 6217 def absTerm 6218 def 1002 ref appTerm 6219 def betaConv 263 ref 68 ref 6218 ref appTerm 6220 def absTerm 6221 def 627 ref appTerm 6222 def betaConv 227 ref 68 ref 6221 ref appTerm 6223 def absTerm 6224 def 233 ref appTerm 6225 def betaConv nil 68 ref 6224 ref appTerm 6226 def axiom nil 110 ref 6226 remove nil cons cons 111 ref 6225 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6224 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6223 remove nil cons cons 111 ref 6222 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6221 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6220 remove nil cons cons 111 ref 6219 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6218 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6217 remove nil cons cons 111 ref 6216 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6215 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp appThm sym nil 110 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 5976 remove 49 ref 5974 remove 1963 ref appTerm 6227 def 897 ref appTerm appTerm 6228 def 49 ref 3982 ref 902 ref appTerm appTerm 6229 def 908 ref 3983 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6230 def appTerm 6231 def nil cons 6232 def cons 111 ref 6214 ref nil cons 6233 def cons nil cons 6234 def cons nil cons cons 335 ref subst nil 208 ref 5982 ref 71 ref 6230 ref 5983 ref appTerm 6235 def appTerm 6214 ref appTerm 6236 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 5982 ref nil 139 ref 6236 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6235 ref nil cons 6237 def cons 6234 ref cons nil cons cons 6238 def 126 ref subst 6238 remove 194 ref subst 6235 ref betaConv 6235 remove assume eqMp nil 110 ref 725 ref 894 ref 725 ref 895 ref 5989 ref 6228 ref 6229 ref 905 ref 5983 ref appTerm 6239 def 897 ref appTerm 902 ref appTerm 3983 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 6240 def appTerm 6241 def nil cons cons 6234 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "bwy" 2 ref var 6242 def 71 ref 6240 ref 6242 ref varTerm 6243 def appTerm 6244 def appTerm 6214 ref appTerm 6245 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 6242 remove nil 139 ref 6245 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6244 ref nil cons 6246 def cons 6234 ref cons nil cons cons 6247 def 126 ref subst 6247 remove 194 ref subst 6244 ref betaConv 6244 remove assume eqMp nil 110 ref 725 ref 895 ref 5989 ref 49 ref 6227 ref 6243 ref appTerm 6248 def appTerm 6249 def 6229 ref 6239 remove 6243 ref appTerm 6250 def 902 ref appTerm 3983 ref appTerm appTerm appTerm appTerm absTerm 6251 def appTerm 6252 def nil cons cons 6234 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "bxy" 2 ref var 6253 def 71 ref 6251 ref 6253 ref varTerm 6254 def appTerm 6255 def appTerm 6214 ref appTerm 6256 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 6253 remove nil 139 ref 6256 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6255 ref nil cons 6257 def cons 6234 ref cons nil cons cons 6258 def 126 ref subst 6258 remove 194 ref subst 6255 ref betaConv 6255 remove assume eqMp nil 110 ref 5989 remove 6249 remove 49 ref 3982 ref 6254 ref appTerm 6259 def appTerm 6250 remove 6254 ref appTerm 3983 ref appTerm 6260 def appTerm 6261 def appTerm 6262 def appTerm nil cons 6263 def cons 6234 ref cons nil cons cons 6264 def 175 ref subst proveHyp 6264 ref 126 ref subst 6264 remove 194 ref subst nil 5994 remove 153 ref 6262 remove nil cons cons nil cons cons nil cons cons 6265 def 167 ref subst 6265 remove 334 ref subst nil 151 ref 6248 ref nil cons 6266 def cons 153 ref 6261 remove nil cons cons nil cons cons nil cons cons 6267 def 167 ref subst 6267 remove 334 ref subst nil 151 ref 6259 ref nil cons 6268 def cons 153 ref 6260 ref nil cons cons nil cons cons nil cons cons 6269 def 167 ref subst 6269 remove 334 ref subst 6114 remove 6117 ref nil 6121 ref 6234 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 5952 ref 6123 ref 6214 ref appTerm 6270 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6270 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6126 ref 6234 ref cons nil cons cons 6271 def 126 ref subst 6271 remove 194 ref subst 6128 ref nil 6132 ref 6234 ref cons nil cons cons 6272 def 175 ref subst proveHyp 6272 ref 126 ref subst 6272 remove 194 ref subst 29 ref 725 ref 26 ref 49 ref 901 ref 6243 ref appTerm appTerm 2135 ref appTerm absTerm appTerm absTerm 6273 def 243 ref appTerm betaConv sym 26 ref 49 ref 6004 remove 6243 ref appTerm appTerm 1158 remove appTerm absTerm 6274 def 1963 ref appTerm betaConv sym 216 ref nil 139 ref 6266 remove cons nil cons nil cons cons 146 ref subst 6248 remove assume 6275 def eqMp appThm 1163 remove 1234 ref appThm 1426 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6274 remove nil cons cons 29 ref 2462 remove cons nil cons 6276 def cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6273 ref nil cons cons 1154 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 6273 remove appTerm nil cons cons 111 ref 52 ref 54 ref 6243 ref appTerm appTerm 240 ref appTerm 6277 def nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 270 ref 542 ref 6243 ref nil cons 6278 def cons nil cons cons nil cons cons 6057 ref subst eqMp nil 29 ref 6278 remove cons nil cons nil cons cons 6116 ref subst 6277 remove assume eqMp nil 110 ref 1000 ref 227 ref 278 ref 6243 ref appTerm 6279 def 243 ref appTerm absTerm 6280 def appTerm 6281 def nil cons cons 6234 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 6198 ref 71 ref 6280 ref 6200 ref appTerm 6282 def appTerm 6214 ref appTerm 6283 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 6198 ref nil 139 ref 6283 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6282 ref nil cons 6284 def cons 6234 ref cons nil cons cons 6285 def 126 ref subst 6285 remove 194 ref subst 6282 ref betaConv 6282 remove assume eqMp nil 110 ref 6279 remove 242 ref 6200 ref appTerm 6286 def appTerm 6287 def nil cons 6288 def cons 6234 ref cons nil cons cons 6289 def 175 ref subst proveHyp 6289 ref 126 ref subst 6289 remove 194 ref subst 29 ref 725 ref 26 ref 49 ref 901 ref 6254 ref appTerm appTerm 2135 remove appTerm absTerm appTerm absTerm 6290 def 1151 ref appTerm betaConv sym 26 ref 49 ref 3981 remove 41 ref appTerm 6254 ref appTerm appTerm 52 ref 54 ref 1151 ref appTerm appTerm 240 ref appTerm appTerm absTerm 6291 def 1963 ref appTerm betaConv sym 216 ref nil 139 ref 6268 remove cons nil cons nil cons cons 146 ref subst 6259 remove assume 6292 def eqMp appThm 1168 remove 1234 remove appThm 1426 remove trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6291 remove nil cons cons 6276 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6290 ref nil cons cons 6008 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 6290 remove appTerm nil cons cons 111 ref 52 ref 54 ref 6254 ref appTerm appTerm 240 ref appTerm 6293 def nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 270 ref 542 ref 6254 ref nil cons 6294 def cons nil cons cons nil cons cons 6057 ref subst eqMp nil 29 ref 6294 remove cons nil cons nil cons cons 6116 remove subst 6293 remove assume eqMp nil 110 ref 1000 ref 227 ref 278 remove 6254 ref appTerm 6295 def 243 ref appTerm absTerm 6296 def appTerm 6297 def nil cons cons 6234 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 6199 ref 71 ref 6296 ref 6202 ref appTerm 6298 def appTerm 6214 ref appTerm 6299 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 6199 ref nil 139 ref 6299 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6298 ref nil cons 6300 def cons 6234 ref cons nil cons cons 6301 def 126 ref subst 6301 remove 194 ref subst 6298 ref betaConv 6298 remove assume eqMp nil 110 ref 6295 remove 242 ref 6202 ref appTerm 6302 def appTerm 6303 def nil cons 6304 def cons 6234 remove cons nil cons cons 6305 def 175 ref subst proveHyp 6305 ref 126 ref subst 6305 remove 194 ref subst 6213 ref 5954 ref appTerm 6306 def betaConv 6307 def sym 6211 ref 6200 ref appTerm 6308 def betaConv 6309 def sym 6209 ref 6202 ref appTerm 6310 def betaConv 6311 def sym 6153 remove 216 ref nil 2165 ref 6200 remove nil cons 6312 def cons 265 ref cons nil cons cons 6313 def 6147 ref subst nil 139 ref 6227 ref 6286 ref appTerm 6314 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32325" 2 ref var 6315 def 6227 remove 6315 remove varTerm appTerm absTerm 6316 def 6243 ref appTerm 6317 def appTerm refl 6316 ref 6286 ref appTerm betaConv appThm 155 ref 6317 remove betaConv appThm 6314 ref refl appThm trans 6316 remove refl 6287 remove assume 6318 def appThm eqMp 6275 remove eqMp eqMp trans appThm 216 ref nil 2165 ref 6202 remove nil cons 6319 def cons nil cons nil cons cons 6320 def 6147 remove subst nil 139 ref 3982 ref 6302 ref appTerm 6321 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32337" 2 ref var 6322 def 3982 remove 6322 remove varTerm appTerm absTerm 6323 def 6254 ref appTerm 6324 def appTerm refl 6323 ref 6302 ref appTerm betaConv appThm 155 ref 6324 remove betaConv appThm 6321 remove refl appThm trans 6323 remove refl 6303 remove assume 6325 def appThm eqMp 6292 remove eqMp eqMp trans appThm nil 1001 ref 6319 ref cons 263 ref 6312 remove cons 6326 def 227 ref 6136 remove cons nil cons cons cons nil cons cons 6327 def 2165 ref 36 ref 6204 ref 233 ref appTerm 627 ref appTerm 1002 ref appTerm 2168 ref appTerm 6328 def appTerm 6329 def 905 ref 243 ref appTerm 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 6330 def appTerm 6331 def absTerm 6332 def 2168 ref appTerm 6333 def betaConv 1001 ref 68 ref 6332 ref appTerm 6334 def absTerm 6335 def 1002 ref appTerm 6336 def betaConv 263 ref 68 ref 6335 ref appTerm 6337 def absTerm 6338 def 627 ref appTerm 6339 def betaConv 227 ref 68 ref 6338 ref appTerm 6340 def absTerm 6341 def 233 ref appTerm 6342 def betaConv 225 ref 227 ref 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 6331 remove assume sym 36 ref 6330 remove appTerm 6328 remove appTerm 6343 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm nil 262 ref 227 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 6343 ref absTerm 6344 def appTerm 6345 def absTerm 6346 def appTerm 6347 def absTerm 6348 def appTerm 6349 def absTerm 6350 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 6349 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6348 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 6347 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6346 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 6345 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6344 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 6343 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 5950 ref 964 ref subst appThm 2165 ref 6329 remove 1000 ref 5952 ref 49 ref 607 ref 233 ref appTerm 627 ref appTerm 5954 ref appTerm 6351 def appTerm 607 ref 5954 ref appTerm 1002 ref appTerm 2168 ref appTerm 6352 def appTerm 6353 def absTerm 6354 def appTerm 6355 def appTerm absTerm 6356 def 2168 ref appTerm 6357 def betaConv 1001 ref 68 ref 6356 ref appTerm 6358 def absTerm 6359 def 1002 ref appTerm 6360 def betaConv 263 ref 68 ref 6359 ref appTerm 6361 def absTerm 6362 def 627 ref appTerm 6363 def betaConv 227 ref 68 ref 6362 ref appTerm 6364 def absTerm 6365 def 233 ref appTerm 6366 def betaConv nil 68 ref 6365 ref appTerm 6367 def axiom nil 110 ref 6367 remove nil cons cons 111 ref 6366 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6365 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6364 remove nil cons cons 111 ref 6363 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6362 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6361 remove nil cons cons 111 ref 6360 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6359 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6358 remove nil cons cons 111 ref 6357 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6356 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp appThm sym nil 110 ref 725 ref 863 ref 49 ref 606 ref 243 ref appTerm 6368 def 1151 ref appTerm 6369 def 866 ref appTerm appTerm 947 ref 1963 ref appTerm 3983 ref appTerm appTerm absTerm 6370 def appTerm 6371 def nil cons 6372 def cons 111 ref 6355 ref nil cons 6373 def cons nil cons 6374 def cons nil cons cons 335 ref subst nil 208 ref 5982 ref 71 ref 6370 ref 5983 ref appTerm 6375 def appTerm 6355 ref appTerm 6376 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 5982 ref nil 139 ref 6376 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6375 ref nil cons 6377 def cons 6374 ref cons nil cons cons 6378 def 126 ref subst 6378 remove 194 ref subst 6375 ref betaConv 6375 remove assume eqMp nil 110 ref 49 ref 6369 ref 5983 ref appTerm 6379 def appTerm 606 ref 5983 ref appTerm 1963 ref appTerm 3983 ref appTerm 6380 def appTerm nil cons 6381 def cons 6374 ref cons nil cons cons 6382 def 175 ref subst proveHyp 6382 ref 126 ref subst 6382 remove 194 ref subst nil 151 ref 6379 ref nil cons 6383 def cons 153 ref 6380 ref nil cons cons nil cons cons nil cons cons 6384 def 167 ref subst 6384 remove 334 ref subst 6001 ref 29 ref 725 ref 26 ref 49 ref 2784 ref 5983 ref appTerm appTerm 6002 ref appTerm absTerm appTerm absTerm 6385 def 243 ref appTerm betaConv sym 26 ref 49 ref 6368 remove 41 ref appTerm 5983 ref appTerm appTerm 6005 ref appTerm absTerm 6386 def 1151 ref appTerm betaConv sym 216 ref nil 139 ref 6383 remove cons nil cons nil cons cons 146 ref subst 6379 remove assume 6387 def eqMp appThm 1921 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6386 remove nil cons cons 6008 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6385 ref nil cons cons 1154 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 6385 remove appTerm nil cons cons 6010 ref cons nil cons cons 175 ref subst proveHyp 6012 ref 48 ref 71 ref 725 ref 29 ref 725 ref 26 ref 5844 ref absTerm 6388 def appTerm 6389 def absTerm 6390 def appTerm 6391 def appTerm 6392 def 550 ref appTerm 6393 def absTerm 6394 def 57 ref appTerm 6395 def betaConv 542 ref 65 ref 6394 ref appTerm 6396 def absTerm 6397 def 547 ref appTerm 6398 def betaConv 5861 ref nil 110 ref 5862 ref nil cons 6399 def cons 6400 def 111 ref 99 ref 6397 ref appTerm nil cons 6401 def cons nil cons cons nil cons cons 6402 def 175 ref subst proveHyp 6402 ref 126 ref subst 6402 remove 194 ref subst nil 208 ref 6397 remove nil cons cons 6403 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6396 remove nil cons 6404 def cons nil cons nil cons cons 146 ref subst nil 257 ref 6394 remove nil cons cons 6405 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6393 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6391 remove nil cons 6406 def cons 6407 def 5807 ref cons nil cons cons 6408 def 126 ref subst 6408 ref 194 ref subst nil 6400 ref 5807 ref cons nil cons cons 6409 def 175 ref subst nil 6407 remove 111 ref 71 ref 5862 remove appTerm 550 ref appTerm 6410 def nil cons 6411 def cons nil cons 6412 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 6390 ref 39 ref appTerm 6413 def appTerm 6410 ref appTerm 6414 def absTerm 6415 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6414 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6413 ref nil cons 6416 def cons 6412 ref cons nil cons cons 6417 def 126 ref subst 6417 remove 194 ref subst 6413 ref betaConv 6418 def 6413 remove assume eqMp nil 110 ref 6389 ref nil cons cons 6412 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 6388 ref 41 ref appTerm 6419 def appTerm 6410 ref appTerm 6420 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6420 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6419 ref nil cons 6421 def cons 6412 ref cons nil cons cons 6422 def 126 ref subst 6422 remove 194 ref subst 6419 ref betaConv 6423 def 6419 remove assume eqMp nil 110 ref 5844 remove nil cons 6424 def cons 6425 def 6412 remove cons nil cons cons 6426 def 175 ref subst proveHyp 6426 ref 126 ref subst 6426 remove 194 ref subst 6409 ref 126 ref subst 6409 remove 194 ref subst nil 6425 remove 5807 ref cons nil cons cons 175 ref subst 5846 remove 57 ref appTerm 6427 def betaConv 5848 remove 547 ref appTerm 6428 def betaConv 5850 remove 41 ref appTerm 6429 def betaConv 5852 ref 39 ref appTerm 6430 def betaConv nil 6400 ref 111 ref 6430 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 5853 ref 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5854 remove cons 111 ref 6429 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5855 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5856 remove cons 111 ref 6428 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5857 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5858 remove cons 111 ref 6427 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5859 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6399 remove cons 6431 def 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 6424 remove cons 153 ref 6411 remove cons nil cons 6432 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6421 remove cons 6432 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 6388 ref 1893 ref appTerm appTerm 6410 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6389 remove appTerm 6410 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6388 remove nil cons cons 6433 def 6432 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6416 remove cons 6432 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 6415 remove appTerm nil cons cons 111 ref 6392 remove 6410 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6390 remove nil cons cons 6434 def 6432 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6406 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6431 remove 153 ref 6401 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 6401 remove cons 111 ref 6398 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6403 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6404 remove cons 111 ref 6395 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 6405 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp 6435 def subst eqMp 6058 ref proveHyp 1162 ref eqMp eqMp 6059 ref proveHyp 6061 ref proveHyp 6113 ref eqMp 6117 ref nil 6121 ref 6374 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 5952 ref 6123 ref 6355 ref appTerm 6436 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6436 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6126 ref 6374 ref cons nil cons cons 6437 def 126 ref subst 6437 remove 194 ref subst 6128 ref nil 6132 ref 6374 remove cons nil cons cons 6438 def 175 ref subst proveHyp 6438 ref 126 ref subst 6438 remove 194 ref subst 6354 ref 5954 ref appTerm 6439 def betaConv 6440 def sym 216 ref 6137 ref 2165 ref 36 ref 2779 remove appTerm 3996 remove appTerm 6441 def absTerm 6442 def 2168 ref appTerm 6443 def betaConv 1001 ref 68 ref 6442 ref appTerm 6444 def absTerm 6445 def 1002 ref appTerm 6446 def betaConv 263 ref 68 ref 6445 ref appTerm 6447 def absTerm 6448 def 627 ref appTerm 6449 def betaConv 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 6441 remove assume sym 3997 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 4004 remove eqMp nil 110 ref 68 ref 6448 ref appTerm nil cons cons 111 ref 6449 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6448 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6447 remove nil cons cons 111 ref 6446 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6445 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6444 remove nil cons cons 111 ref 6443 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6442 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 6450 def subst nil 139 ref 6369 ref 6129 ref appTerm 6451 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32211" 2 ref var 6452 def 6369 remove 6452 remove varTerm appTerm absTerm 6453 def 5983 ref appTerm 6454 def appTerm refl 6453 ref 6129 ref appTerm betaConv appThm 155 ref 6454 remove betaConv appThm 6451 remove refl appThm trans 6453 remove refl 6152 ref appThm eqMp 6387 remove eqMp eqMp trans appThm 6155 ref 6450 remove subst nil 139 ref 606 ref 6129 ref appTerm 1963 ref appTerm 3983 ref appTerm 6455 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32213" 2 ref var 6456 def 606 ref 6456 remove varTerm appTerm 1963 ref appTerm 3983 ref appTerm absTerm 6457 def 5983 ref appTerm 6458 def appTerm refl 6457 ref 6129 ref appTerm betaConv appThm 155 ref 6458 remove betaConv appThm 6455 remove refl appThm trans 6457 remove refl 6152 ref appThm eqMp 6380 remove assume eqMp eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 261 ref 262 ref 6354 ref nil cons cons 6459 def 6154 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 6161 ref 153 ref 6373 remove cons nil cons 6460 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 6163 ref 6460 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 6166 ref 6355 ref appTerm absTerm appTerm nil cons cons 111 ref 6167 ref 6355 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 6168 ref 6460 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 6381 remove cons 6460 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6377 remove cons 6460 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 6370 ref 39 ref appTerm appTerm 6355 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6371 ref appTerm 6355 ref appTerm nil cons 6461 def cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6370 ref nil cons cons 6462 def 6460 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 6461 remove cons 111 ref 71 ref 6355 remove appTerm 6371 ref appTerm nil cons cons nil cons 6463 def cons nil cons cons 194 ref subst proveHyp nil 262 ref 5952 ref 71 ref 6439 ref appTerm 6371 ref appTerm 6464 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6464 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6439 ref nil cons 6465 def cons 111 ref 6372 ref cons nil cons 6466 def cons nil cons cons 6467 def 126 ref subst 6467 remove 194 ref subst 6440 remove 6439 remove assume eqMp nil 110 ref 6353 remove nil cons 6468 def cons 6466 remove cons nil cons cons 6469 def 175 ref subst proveHyp 6469 ref 126 ref subst 6469 remove 194 ref subst nil 151 ref 6351 ref nil cons 6470 def cons 153 ref 6352 ref nil cons 6471 def cons nil cons cons nil cons cons 6472 def 167 ref subst 6472 remove 334 ref subst 6370 remove 6129 ref appTerm betaConv sym 216 ref 6137 ref 4003 ref subst nil 139 ref 6470 remove cons nil cons nil cons cons 146 ref subst 6351 remove assume eqMp trans appThm 6155 ref 4003 remove subst nil 139 ref 6471 remove cons nil cons nil cons cons 146 ref subst 6352 remove assume eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6462 remove 6183 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 6468 remove cons 153 ref 6372 remove cons nil cons 6473 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6465 remove cons 6473 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6354 remove 6165 ref appTerm appTerm 6371 remove appTerm absTerm appTerm nil cons cons 6463 remove cons nil cons cons 175 ref subst proveHyp 261 ref 6459 remove 6473 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp 6474 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6475 def eqMp nil 110 ref 68 ref 6341 ref appTerm nil cons cons 111 ref 6342 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6341 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6340 remove nil cons cons 111 ref 6339 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6338 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6337 remove nil cons cons 111 ref 6336 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6335 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6334 remove nil cons cons 111 ref 6333 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6332 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 6476 def subst nil 139 ref 905 ref 6129 ref appTerm 6477 def 6286 ref appTerm 6478 def 6302 ref appTerm 3983 ref appTerm 6479 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32339" 2 ref var 6480 def 6478 ref 6480 remove varTerm appTerm 3983 ref appTerm absTerm 6481 def 6254 ref appTerm 6482 def appTerm refl 6481 ref 6302 ref appTerm betaConv appThm 155 ref 6482 remove betaConv appThm 6479 remove refl appThm trans 6481 remove refl 6325 remove appThm eqMp 36 ref "_32329" 2 ref var 6483 def 6477 ref 6483 remove varTerm appTerm 6254 ref appTerm 3983 ref appTerm absTerm 6484 def 6243 ref appTerm 6485 def appTerm refl 6484 ref 6286 ref appTerm betaConv appThm 155 ref 6485 remove betaConv appThm 6478 ref 6254 ref appTerm 3983 ref appTerm refl appThm trans 6484 remove refl 6318 remove appThm eqMp 36 ref "_32319" 2 ref var 6486 def 905 ref 6486 remove varTerm appTerm 6243 ref appTerm 6254 ref appTerm 3983 ref appTerm absTerm 6487 def 5983 ref appTerm 6488 def appTerm refl 6487 ref 6129 ref appTerm betaConv appThm 155 ref 6488 remove betaConv appThm 6477 ref 6243 remove appTerm 6254 remove appTerm 3983 ref appTerm refl appThm trans 6487 remove refl 6152 ref appThm eqMp 6260 remove assume eqMp eqMp eqMp eqMp trans appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 261 ref 262 ref 6209 ref nil cons cons 6489 def 263 ref 6319 remove cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 261 ref 262 ref 6211 ref nil cons cons 6490 def 6326 remove nil cons cons nil cons cons 724 ref subst proveHyp eqMp 261 ref 262 ref 6213 ref nil cons cons 6491 def 6154 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 6304 remove cons 153 ref 6233 remove cons nil cons 6492 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6300 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6296 ref 6165 ref appTerm appTerm 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6297 remove appTerm 6214 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6296 remove nil cons cons 6492 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp eqMp nil 151 ref 6288 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6284 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6280 ref 6165 ref appTerm appTerm 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6281 remove appTerm 6214 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6280 remove nil cons cons 6492 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp eqMp nil 6161 ref 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 6163 ref 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 6166 ref 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 6167 ref 6214 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 6168 ref 6492 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6263 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6257 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 6251 ref 39 ref appTerm appTerm 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6252 remove appTerm 6214 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6251 remove nil cons cons 6492 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6246 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 6240 ref 39 ref appTerm appTerm 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6241 remove appTerm 6214 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6240 remove nil cons cons 6492 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6237 remove cons 6492 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 6230 ref 39 ref appTerm appTerm 6214 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6231 ref appTerm 6214 ref appTerm nil cons 6493 def cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6230 ref nil cons cons 6494 def 6492 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 6493 remove cons 111 ref 71 ref 6214 remove appTerm 6231 ref appTerm nil cons cons nil cons 6495 def cons nil cons cons 194 ref subst proveHyp nil 262 ref 5952 ref 71 ref 6306 ref appTerm 6231 ref appTerm 6496 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6496 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6306 ref nil cons 6497 def cons 111 ref 6232 ref cons nil cons 6498 def cons nil cons cons 6499 def 126 ref subst 6499 remove 194 ref subst 6307 remove 6306 remove assume eqMp nil 110 ref 6212 ref nil cons cons 6498 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 6198 ref 71 ref 6308 ref appTerm 6231 ref appTerm 6500 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 6198 remove nil 139 ref 6500 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6308 ref nil cons 6501 def cons 6498 ref cons nil cons cons 6502 def 126 ref subst 6502 remove 194 ref subst 6309 remove 6308 remove assume eqMp nil 110 ref 6210 ref nil cons cons 6498 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 6199 ref 71 ref 6310 ref appTerm 6231 ref appTerm 6503 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 6199 remove nil 139 ref 6503 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6310 ref nil cons 6504 def cons 6498 ref cons nil cons cons 6505 def 126 ref subst 6505 remove 194 ref subst 6311 remove 6310 remove assume eqMp nil 110 ref 6208 remove nil cons 6506 def cons 6498 remove cons nil cons cons 6507 def 175 ref subst proveHyp 6507 ref 126 ref subst 6507 remove 194 ref subst nil 6179 remove 153 ref 6207 remove nil cons cons nil cons cons nil cons cons 6508 def 167 ref subst 6508 remove 334 ref subst nil 151 ref 6201 ref nil cons 6509 def cons 153 ref 6206 remove nil cons cons nil cons cons nil cons cons 6510 def 167 ref subst 6510 remove 334 ref subst nil 151 ref 6203 ref nil cons 6511 def cons 153 ref 6205 ref nil cons 6512 def cons nil cons cons nil cons cons 6513 def 167 ref subst 6513 remove 334 ref subst 6230 remove 6129 ref appTerm betaConv sym 894 ref 725 ref 895 ref 49 ref 6148 remove appTerm 6514 def 6228 remove 6229 ref 6477 remove 897 ref appTerm 902 ref appTerm 3983 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 6515 def 6286 ref appTerm betaConv sym 895 ref 6514 remove 49 ref 6314 remove appTerm 6229 remove 6478 remove 902 ref appTerm 3983 ref appTerm appTerm appTerm appTerm absTerm 6516 def 6302 ref appTerm betaConv sym 6182 remove 216 ref 6313 remove 3994 ref subst nil 139 ref 6509 remove cons nil cons nil cons cons 146 ref subst 6201 remove assume eqMp trans appThm 216 ref 6320 remove 3994 remove subst nil 139 ref 6511 remove cons nil cons nil cons cons 146 ref subst 6203 remove assume eqMp trans appThm 6327 remove 6474 remove subst nil 139 ref 6512 remove cons nil cons nil cons cons 146 ref subst 6205 remove assume eqMp trans appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6516 remove nil cons cons 29 ref 6302 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6515 remove nil cons cons 29 ref 6286 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 6494 remove 6183 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6506 remove cons 153 ref 6232 remove cons nil cons 6517 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6504 remove cons 6517 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6209 remove 6165 ref appTerm appTerm 6231 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6210 remove appTerm 6231 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 6489 remove 6517 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6501 remove cons 6517 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6211 remove 6165 ref appTerm appTerm 6231 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6212 remove appTerm 6231 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 6490 remove 6517 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6497 remove cons 6517 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 71 ref 6213 remove 6165 ref appTerm appTerm 6231 remove appTerm absTerm appTerm nil cons cons 6495 remove cons nil cons cons 175 ref subst proveHyp 261 ref 6491 remove 6517 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6518 def nil 68 ref 6196 remove appTerm thm 6475 remove nil 68 ref 6350 remove appTerm thm nil 262 ref 227 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 36 ref 968 ref 243 ref appTerm 1151 ref appTerm 1963 ref appTerm 3983 ref appTerm 6519 def appTerm "Hardware.xor3" const 1946 remove constTerm 6520 def 233 ref appTerm 627 ref appTerm 1002 ref appTerm 2168 ref appTerm 6521 def appTerm 6522 def absTerm 6523 def appTerm 6524 def absTerm 6525 def appTerm 6526 def absTerm 6527 def appTerm 6528 def absTerm 6529 def nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 6528 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6527 remove nil cons cons nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 6526 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6525 remove nil cons cons nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 6524 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 6523 remove nil cons cons nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 6522 ref nil cons cons nil cons nil cons cons 146 ref subst 155 ref 5950 remove 991 ref subst appThm 2165 ref 36 ref 6521 remove appTerm 6530 def 1000 ref 5952 ref 49 ref 616 ref 233 ref appTerm 627 ref appTerm 5954 ref appTerm 6531 def appTerm 616 ref 5954 ref appTerm 1002 ref appTerm 2168 ref appTerm 6532 def appTerm 6533 def absTerm 6534 def appTerm 6535 def appTerm absTerm 6536 def 2168 ref appTerm 6537 def betaConv 1001 ref 68 ref 6536 ref appTerm 6538 def absTerm 6539 def 1002 ref appTerm 6540 def betaConv 263 ref 68 ref 6539 ref appTerm 6541 def absTerm 6542 def 627 ref appTerm 6543 def betaConv 227 ref 68 ref 6542 ref appTerm 6544 def absTerm 6545 def 233 ref appTerm 6546 def betaConv nil 68 ref 6545 ref appTerm 6547 def axiom nil 110 ref 6547 remove nil cons cons 111 ref 6546 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6545 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6544 remove nil cons cons 111 ref 6543 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6542 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6541 remove nil cons cons 111 ref 6540 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6539 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6538 remove nil cons cons 111 ref 6537 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6536 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp appThm sym nil 110 ref 725 ref 863 ref 49 ref 615 ref 243 ref appTerm 6548 def 1151 ref appTerm 6549 def 866 ref appTerm appTerm 974 ref 1963 ref appTerm 3983 ref appTerm appTerm absTerm 6550 def appTerm 6551 def nil cons 6552 def cons 111 ref 6535 ref nil cons 6553 def cons nil cons 6554 def cons nil cons cons 335 ref subst nil 208 ref 5982 ref 71 ref 6550 ref 5983 ref appTerm 6555 def appTerm 6535 ref appTerm 6556 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 5982 remove nil 139 ref 6556 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6555 ref nil cons 6557 def cons 6554 ref cons nil cons cons 6558 def 126 ref subst 6558 remove 194 ref subst 6555 ref betaConv 6555 remove assume eqMp nil 110 ref 49 ref 6549 ref 5983 ref appTerm 6559 def appTerm 615 ref 5983 ref appTerm 1963 ref appTerm 3983 ref appTerm 6560 def appTerm nil cons 6561 def cons 6554 ref cons nil cons cons 6562 def 175 ref subst proveHyp 6562 ref 126 ref subst 6562 remove 194 ref subst nil 151 ref 6559 ref nil cons 6563 def cons 153 ref 6560 ref nil cons cons nil cons cons nil cons cons 6564 def 167 ref subst 6564 remove 334 ref subst 6001 remove 29 ref 725 ref 26 ref 49 ref 2796 ref 5983 ref appTerm appTerm 6002 remove appTerm absTerm appTerm absTerm 6565 def 243 ref appTerm betaConv sym 26 ref 49 ref 6548 remove 41 ref appTerm 5983 ref appTerm appTerm 6005 remove appTerm absTerm 6566 def 1151 remove appTerm betaConv sym 216 ref nil 139 ref 6563 remove cons nil cons nil cons cons 146 ref subst 6559 remove assume 6567 def eqMp appThm 1921 remove appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 6566 remove nil cons cons 6008 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6565 ref nil cons cons 1154 remove cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 6565 remove appTerm nil cons cons 6010 remove cons nil cons cons 175 ref subst proveHyp 6012 remove 48 ref 71 ref 725 ref 29 ref 725 ref 26 ref 5864 ref absTerm 6568 def appTerm 6569 def absTerm 6570 def appTerm 6571 def appTerm 6572 def 550 ref appTerm 6573 def absTerm 6574 def 57 ref appTerm 6575 def betaConv 542 ref 65 ref 6574 ref appTerm 6576 def absTerm 6577 def 547 ref appTerm 6578 def betaConv 5881 ref nil 110 ref 5882 ref nil cons 6579 def cons 6580 def 111 ref 99 ref 6577 ref appTerm nil cons 6581 def cons nil cons cons nil cons cons 6582 def 175 ref subst proveHyp 6582 ref 126 ref subst 6582 remove 194 ref subst nil 208 ref 6577 remove nil cons cons 6583 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6576 remove nil cons 6584 def cons nil cons nil cons cons 146 ref subst nil 257 ref 6574 remove nil cons cons 6585 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6573 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6571 remove nil cons 6586 def cons 6587 def 5807 ref cons nil cons cons 6588 def 126 ref subst 6588 ref 194 ref subst nil 6580 ref 5807 ref cons nil cons cons 6589 def 175 ref subst nil 6587 remove 111 ref 71 ref 5882 remove appTerm 550 ref appTerm 6590 def nil cons 6591 def cons nil cons 6592 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 6570 ref 39 ref appTerm 6593 def appTerm 6590 ref appTerm 6594 def absTerm 6595 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6594 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6593 ref nil cons 6596 def cons 6592 ref cons nil cons cons 6597 def 126 ref subst 6597 remove 194 ref subst 6593 ref betaConv 6598 def 6593 remove assume eqMp nil 110 ref 6569 ref nil cons cons 6592 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 6568 ref 41 ref appTerm 6599 def appTerm 6590 ref appTerm 6600 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6600 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6599 ref nil cons 6601 def cons 6592 ref cons nil cons cons 6602 def 126 ref subst 6602 remove 194 ref subst 6599 ref betaConv 6603 def 6599 remove assume eqMp nil 110 ref 5864 remove nil cons 6604 def cons 6605 def 6592 remove cons nil cons cons 6606 def 175 ref subst proveHyp 6606 ref 126 ref subst 6606 remove 194 ref subst 6589 ref 126 ref subst 6589 remove 194 ref subst nil 6605 remove 5807 ref cons nil cons cons 175 ref subst 5866 remove 57 ref appTerm 6607 def betaConv 5868 remove 547 ref appTerm 6608 def betaConv 5870 remove 41 ref appTerm 6609 def betaConv 5872 ref 39 ref appTerm 6610 def betaConv nil 6580 ref 111 ref 6610 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 5873 ref 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5874 remove cons 111 ref 6609 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5875 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5876 remove cons 111 ref 6608 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5877 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 5878 remove cons 111 ref 6607 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 5879 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6579 remove cons 6611 def 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 6604 remove cons 153 ref 6591 remove cons nil cons 6612 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6601 remove cons 6612 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 6568 ref 1893 ref appTerm appTerm 6590 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6569 remove appTerm 6590 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6568 remove nil cons cons 6613 def 6612 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6596 remove cons 6612 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 6595 remove appTerm nil cons cons 111 ref 6572 remove 6590 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6570 remove nil cons cons 6614 def 6612 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 6586 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6611 remove 153 ref 6581 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 6581 remove cons 111 ref 6578 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6583 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6584 remove cons 111 ref 6575 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 6585 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp 6615 def subst eqMp 6058 remove proveHyp 1162 ref eqMp eqMp 6059 remove proveHyp 6061 remove proveHyp 6113 remove eqMp 6117 remove nil 6121 remove 6554 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 5952 ref 6123 remove 6535 ref appTerm 6616 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 ref nil 139 ref 6616 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6126 remove 6554 ref cons nil cons cons 6617 def 126 ref subst 6617 remove 194 ref subst 6128 remove nil 6132 remove 6554 remove cons nil cons cons 6618 def 175 ref subst proveHyp 6618 ref 126 ref subst 6618 remove 194 ref subst 6534 ref 5954 remove appTerm 6619 def betaConv 6620 def sym 216 ref 6137 ref 2165 ref 36 ref 2791 remove appTerm 4005 remove appTerm 6621 def absTerm 6622 def 2168 ref appTerm 6623 def betaConv 1001 ref 68 ref 6622 ref appTerm 6624 def absTerm 6625 def 1002 ref appTerm 6626 def betaConv 263 ref 68 ref 6625 ref appTerm 6627 def absTerm 6628 def 627 ref appTerm 6629 def betaConv 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 6621 remove assume sym 4006 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 4013 remove eqMp nil 110 ref 68 ref 6628 ref appTerm nil cons cons 111 ref 6629 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6628 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6627 remove nil cons cons 111 ref 6626 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6625 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6624 remove nil cons cons 111 ref 6623 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 6622 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 6630 def subst nil 139 ref 6549 ref 6129 ref appTerm 6631 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32254" 2 ref var 6632 def 6549 remove 6632 remove varTerm appTerm absTerm 6633 def 5983 ref appTerm 6634 def appTerm refl 6633 ref 6129 ref appTerm betaConv appThm 155 ref 6634 remove betaConv appThm 6631 remove refl appThm trans 6633 remove refl 6152 ref appThm eqMp 6567 remove eqMp eqMp trans appThm 6155 ref 6630 remove subst nil 139 ref 615 ref 6129 ref appTerm 1963 ref appTerm 3983 ref appTerm 6635 def nil cons cons nil cons nil cons cons 146 ref subst 36 ref "_32256" 2 ref var 6636 def 615 ref 6636 remove varTerm appTerm 1963 remove appTerm 3983 remove appTerm absTerm 6637 def 5983 remove appTerm 6638 def appTerm refl 6637 ref 6129 ref appTerm betaConv appThm 155 ref 6638 remove betaConv appThm 6635 remove refl appThm trans 6637 remove refl 6152 remove appThm eqMp 6560 remove assume eqMp eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 261 ref 262 ref 6534 ref nil cons cons 6639 def 6154 remove cons nil cons cons 724 ref subst proveHyp eqMp nil 6161 remove 153 ref 6553 remove cons nil cons 6640 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 6163 remove 6640 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 ref 6166 remove 6535 ref appTerm absTerm appTerm nil cons cons 111 ref 6167 remove 6535 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 6168 remove 6640 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 6561 remove cons 6640 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6557 remove cons 6640 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 6550 ref 39 ref appTerm appTerm 6535 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6551 ref appTerm 6535 ref appTerm nil cons 6641 def cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6550 ref nil cons cons 6642 def 6640 remove cons nil cons cons 811 ref subst eqMp nil 110 ref 6641 remove cons 111 ref 71 ref 6535 remove appTerm 6551 ref appTerm nil cons cons nil cons 6643 def cons nil cons cons 194 ref subst proveHyp nil 262 ref 5952 ref 71 ref 6619 ref appTerm 6551 ref appTerm 6644 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 5952 remove nil 139 ref 6644 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6619 ref nil cons 6645 def cons 111 ref 6552 ref cons nil cons 6646 def cons nil cons cons 6647 def 126 ref subst 6647 remove 194 ref subst 6620 remove 6619 remove assume eqMp nil 110 ref 6533 remove nil cons 6648 def cons 6646 remove cons nil cons cons 6649 def 175 ref subst proveHyp 6649 ref 126 ref subst 6649 remove 194 ref subst nil 151 ref 6531 ref nil cons 6650 def cons 153 ref 6532 ref nil cons 6651 def cons nil cons cons nil cons cons 6652 def 167 ref subst 6652 remove 334 ref subst 6550 remove 6129 remove appTerm betaConv sym 216 ref 6137 remove 4012 ref subst nil 139 ref 6650 remove cons nil cons nil cons cons 146 ref subst 6531 remove assume eqMp trans appThm 6155 remove 4012 remove subst nil 139 ref 6651 remove cons nil cons nil cons cons 146 ref subst 6532 remove assume eqMp trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6642 remove 6183 remove cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 6648 remove cons 153 ref 6552 remove cons nil cons 6653 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6645 remove cons 6653 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 6164 remove 71 ref 6534 remove 6165 remove appTerm appTerm 6551 remove appTerm absTerm appTerm nil cons cons 6643 remove cons nil cons cons 175 ref subst proveHyp 261 ref 6639 remove 6653 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6654 def nil 68 ref 6529 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 99 ref 542 ref 71 ref 59 ref 2768 ref appTerm 6655 def appTerm 6656 def 892 ref 39 ref appTerm 41 ref appTerm 4524 ref appTerm 547 ref appTerm appTerm 6657 def absTerm 6658 def appTerm 6659 def absTerm 6660 def appTerm 6661 def absTerm 6662 def appTerm 6663 def absTerm 6664 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6663 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6662 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6661 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 6660 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6659 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6658 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6657 remove nil cons cons nil cons nil cons cons 146 ref subst 6656 remove refl nil 4656 ref 212 remove 857 ref 209 remove cons nil cons cons cons nil cons cons 6665 def 931 ref subst appThm sym nil 110 ref 6655 remove nil cons 6666 def cons 111 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 49 ref 901 ref 866 ref appTerm appTerm 6667 def 49 ref 5744 ref 897 ref appTerm appTerm 6668 def 49 ref 532 ref 41 ref appTerm 4524 ref appTerm 6669 def 902 ref appTerm appTerm 6670 def 909 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6671 def appTerm nil cons 6672 def cons nil cons cons nil cons cons 6673 def 126 ref subst 6673 remove 194 ref subst nil 3086 ref 153 ref 2768 ref nil cons 6674 def cons nil cons cons nil cons cons 6675 def 167 ref subst 6675 remove 334 ref subst 226 ref 2164 remove appThm 4662 ref appThm sym 541 ref 4699 ref subst eqMp 6676 def nil 110 ref 71 ref 2768 ref appTerm 6677 def 47 ref 4646 ref 4649 ref 49 ref 4651 ref appTerm 6678 def 549 ref 4647 ref appTerm 6679 def appTerm 6680 def appTerm absTerm appTerm appTerm nil cons cons 111 ref 5830 ref cons nil cons 6681 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 6674 remove cons nil cons nil cons cons 146 ref subst 2768 remove assume eqMp 6682 def appThm 215 ref "_32378" 44 ref var 6683 def 216 ref 3096 remove 6683 remove varTerm 6684 def refl appThm appThm 49 ref 61 ref 6684 ref appTerm appTerm 549 ref 6684 remove appTerm appTerm refl appThm absThm appThm appThm nil 139 ref 47 ref 4646 ref 49 ref 276 ref 4647 ref appTerm 6685 def appTerm 6680 ref appTerm 6686 def absTerm 6687 def appTerm 6688 def nil cons cons nil cons nil cons cons 840 ref subst trans appThm 4658 ref refl 6689 def appThm sym nil 257 ref 4646 ref 71 ref 6687 ref 4647 ref appTerm 6690 def appTerm 4658 ref appTerm 6691 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 4646 ref nil 139 ref 6691 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6690 ref nil cons 6692 def cons 6681 ref cons nil cons cons 6693 def 126 ref subst 6693 remove 194 ref subst 6690 ref betaConv 6690 remove assume eqMp nil 110 ref 6686 remove nil cons 6694 def cons 6681 remove cons nil cons cons 6695 def 175 ref subst proveHyp 6695 ref 126 ref subst 6695 remove 194 ref subst nil 151 ref 6685 ref nil cons cons 153 ref 6680 ref nil cons cons nil cons 6696 def cons nil cons cons 6697 def 167 ref subst 6697 remove 334 ref subst nil 151 ref 4651 ref nil cons cons 6698 def 153 ref 6679 ref nil cons cons nil cons cons nil cons cons 6699 def 167 ref subst 6700 def 6699 remove 334 ref subst 6701 def 216 ref 217 ref 4651 remove assume appThm 6702 def 6685 remove assume 6703 def appThm nil 258 ref 4647 ref nil cons cons nil cons nil cons cons 489 ref subst 6704 def trans appThm 217 ref 6679 remove assume appThm 6705 def 6703 remove appThm 6704 ref trans appThm 528 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6694 remove cons 5831 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6692 remove cons 5831 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 6687 ref 797 ref appTerm appTerm 4658 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6688 remove appTerm 4658 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 6687 remove nil cons cons 5831 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp 5835 remove 167 ref subst 5836 ref 6671 ref 547 ref appTerm betaConv sym 894 ref 725 ref 895 ref 5786 ref 6668 remove 6670 ref 905 ref 547 ref appTerm 6706 def 897 ref appTerm 902 ref appTerm 547 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 6707 def 4524 ref appTerm betaConv sym 895 ref 5786 ref 49 ref 5744 remove 4524 ref appTerm 6708 def appTerm 6709 def 6670 remove 6706 remove 4524 ref appTerm 6710 def 902 ref appTerm 547 ref appTerm appTerm appTerm appTerm absTerm 6711 def 4524 ref appTerm betaConv sym 216 ref 6682 remove appThm 6709 remove 49 ref 6669 remove 4524 ref appTerm 6712 def appTerm 6710 remove 4524 ref appTerm 547 ref appTerm 6713 def appTerm 6714 def appTerm 6715 def refl appThm nil 139 ref 6715 remove nil cons cons nil cons nil cons cons 527 ref subst trans sym 3098 ref nil 4526 ref nil cons cons nil 139 ref 854 remove nil cons cons nil cons nil cons cons 146 ref subst 855 ref 39 ref appTerm 6716 def betaConv 852 remove nil 110 ref 856 remove nil cons cons 111 ref 6716 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 855 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp 6717 def eqMp 6718 def subst 6719 def appThm 528 ref trans sym 145 ref eqMp nil 110 ref 59 ref 5743 remove 4524 ref appTerm 6720 def appTerm nil cons cons 111 ref 6708 remove nil cons 6721 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 4657 remove nil cons cons 5785 ref subst eqMp nil 110 ref 6721 remove cons 111 ref 6714 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 4688 ref 6719 remove appThm 528 ref trans sym 145 ref eqMp nil 110 ref 63 ref 6720 remove appTerm nil cons cons 111 ref 6712 remove nil cons 6722 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 4656 ref 213 ref cons nil cons cons 5785 remove subst eqMp nil 110 ref 6722 remove cons 111 ref 6713 remove nil cons cons nil cons 6723 def cons nil cons cons 194 ref subst proveHyp 216 ref 4690 ref appThm 6724 def 606 ref 547 ref appTerm 4524 ref appTerm 547 ref appTerm 6725 def refl 6726 def appThm nil 139 ref 6725 ref nil cons 6727 def cons nil cons nil cons cons 527 ref subst 6728 def trans sym 6724 ref nil 595 ref nil cons cons 6729 def 6718 remove subst appThm 528 ref trans sym 145 ref eqMp nil 110 ref 551 ref 10 ref 547 ref appTerm 547 ref appTerm 6730 def appTerm nil cons cons 6731 def 111 ref 6727 remove cons nil cons cons nil cons cons 175 ref subst 6732 def proveHyp nil 26 ref 594 remove cons 595 ref cons nil cons cons 6733 def 5575 remove subst 6734 def eqMp eqMp nil 110 ref 551 ref 6725 remove appTerm nil cons cons 6723 remove cons nil cons cons 175 ref subst proveHyp nil 4656 remove 595 ref cons nil cons cons 71 ref 59 ref 2785 ref appTerm 6735 def appTerm 6736 def refl 6665 ref 964 ref subst appThm sym nil 110 ref 6735 remove nil cons 6737 def cons 111 ref 725 ref 863 ref 49 ref 2784 remove 866 ref appTerm appTerm 6738 def 947 ref 4524 ref appTerm 547 ref appTerm appTerm absTerm 6739 def appTerm nil cons 6740 def cons nil cons cons nil cons cons 6741 def 126 ref subst 6741 remove 194 ref subst nil 3086 ref 153 ref 2785 ref nil cons 6742 def cons nil cons cons nil cons cons 6743 def 167 ref subst 6743 remove 334 ref subst 6739 ref 547 ref appTerm betaConv sym 216 ref nil 139 ref 6742 remove cons nil cons nil cons cons 146 ref subst 2785 ref assume eqMp appThm 6744 def 6726 remove appThm 6728 remove trans sym 6418 remove sym 6423 remove sym 6744 remove 3097 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6433 remove 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 6434 remove 210 ref cons nil cons cons 724 ref subst proveHyp 6408 remove 175 ref subst proveHyp 6435 ref eqMp nil 110 ref 4681 ref cons 111 ref 6730 remove nil cons cons nil cons cons nil cons cons 194 ref subst 6745 def proveHyp 6729 ref 6717 remove subst 6746 def eqMp 6732 remove proveHyp 6734 remove eqMp eqMp eqMp 207 ref 208 ref 6739 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 6737 remove cons 153 ref 6740 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp 6747 def subst eqMp eqMp eqMp eqMp eqMp 207 ref 208 ref 6711 remove nil cons cons 4526 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6707 remove nil cons cons 4526 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 6671 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6666 remove cons 153 ref 6672 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 6664 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 99 ref 542 ref 6736 remove 905 ref 39 ref appTerm 41 ref appTerm 4524 ref appTerm 547 ref appTerm appTerm 6748 def absTerm 6749 def appTerm 6750 def absTerm 6751 def appTerm 6752 def absTerm 6753 def appTerm 6754 def absTerm 6755 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6754 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6753 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6752 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 6751 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6750 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6749 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6748 remove nil cons cons nil cons nil cons cons 146 ref subst 6747 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 6755 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 48 ref 99 ref 542 ref 71 ref 59 ref 2797 ref appTerm 6756 def appTerm 6757 def 968 ref 39 ref appTerm 41 ref appTerm 4524 ref appTerm 547 ref appTerm appTerm 6758 def absTerm 6759 def appTerm 6760 def absTerm 6761 def appTerm 6762 def absTerm 6763 def appTerm 6764 def absTerm 6765 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6764 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6763 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6762 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 6761 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6760 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6759 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6758 remove nil cons cons nil cons nil cons cons 146 ref subst 6757 remove refl 6665 remove 991 ref subst appThm sym nil 110 ref 6756 remove nil cons 6766 def cons 111 ref 725 ref 863 ref 49 ref 2796 remove 866 ref appTerm appTerm 6767 def 974 ref 4524 ref appTerm 547 ref appTerm appTerm absTerm 6768 def appTerm nil cons 6769 def cons nil cons cons nil cons cons 6770 def 126 ref subst 6770 remove 194 ref subst nil 3086 ref 153 ref 2797 ref nil cons 6771 def cons nil cons cons nil cons cons 6772 def 167 ref subst 6772 remove 334 ref subst 6768 ref 547 ref appTerm betaConv sym 216 ref nil 139 ref 6771 remove cons nil cons nil cons cons 146 ref subst 2797 ref assume eqMp appThm 6773 def 615 ref 547 ref appTerm 4524 remove appTerm 547 ref appTerm 6774 def refl appThm nil 139 ref 6774 remove nil cons 6775 def cons nil cons nil cons cons 527 ref subst trans sym 6598 remove sym 6603 remove sym 6773 remove 3097 remove appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6613 remove 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 6614 remove 210 ref cons nil cons cons 724 ref subst proveHyp 6588 remove 175 ref subst proveHyp 6615 ref eqMp 6745 remove proveHyp 6746 remove eqMp nil 6731 remove 111 ref 6775 remove cons nil cons cons nil cons cons 175 ref subst proveHyp 6733 remove 5608 remove subst eqMp eqMp eqMp 207 ref 208 ref 6768 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 6766 remove cons 153 ref 6769 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 6765 remove appTerm thm 1831 remove nil 1832 remove thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 862 ref appTerm 6776 def 52 ref 54 ref 861 ref appTerm 6777 def appTerm 6778 def 57 ref appTerm 6779 def appTerm 6780 def appTerm 550 ref appTerm 6781 def absTerm 6782 def appTerm 6783 def absTerm 6784 def appTerm 6785 def absTerm 6786 def appTerm 6787 def absTerm 6788 def appTerm 6789 def absTerm 6790 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 6789 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6788 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6787 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6786 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6785 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6784 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6783 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 6782 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6781 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6780 remove nil cons 6791 def cons 5807 ref cons nil cons cons 6792 def 126 ref subst 6792 remove 194 ref subst nil 151 ref 862 ref nil cons 6793 def cons 6794 def 153 ref 6779 ref nil cons 6795 def cons nil cons 6796 def cons nil cons cons 6797 def 167 ref subst 6797 remove 334 ref subst 5815 remove "_32162" 44 ref var 6798 def 549 ref 6798 remove varTerm appTerm absTerm 6777 ref appTerm betaConv appThm 5816 remove 549 ref 6777 ref appTerm 6799 def refl 6800 def appThm trans 5819 remove 6779 ref assume 6801 def sym appThm eqMp sym 6802 def 226 ref 887 ref appThm 47 ref 48 ref 49 ref 6779 ref appTerm 6803 def 4659 ref appTerm 6804 def absTerm 6805 def appTerm 6806 def refl 6807 def appThm sym nil 208 ref 863 ref 71 ref 872 ref 866 ref appTerm 6808 def appTerm 6809 def 6806 ref appTerm 6810 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 6810 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6808 ref nil cons 6811 def cons 6812 def 111 ref 6806 ref nil cons 6813 def cons nil cons 6814 def cons nil cons cons 6815 def 126 ref subst 6815 remove 194 ref subst 6808 ref betaConv 6816 def 6808 remove assume eqMp 6817 def nil 110 ref 871 remove nil cons 6818 def cons 6819 def 6814 ref cons nil cons cons 6820 def 175 ref subst proveHyp 6820 ref 126 ref subst 6820 remove 194 ref subst nil 151 ref 867 ref nil cons 6821 def cons 6822 def 153 ref 870 ref nil cons 6823 def cons nil cons cons nil cons cons 6824 def 167 ref subst 6825 def 6824 remove 334 ref subst 6826 def 542 ref 71 ref 865 remove 547 ref appTerm 6827 def appTerm 47 ref 48 ref 6803 ref 59 ref 550 ref appTerm appTerm absTerm appTerm 6828 def appTerm absTerm 6829 def 866 ref appTerm 6830 def betaConv 26 ref 99 ref 542 ref 71 ref 896 ref 547 ref appTerm 6831 def appTerm 47 ref 48 ref 6803 ref 4658 ref appTerm absTerm appTerm 6832 def appTerm absTerm appTerm absTerm 6833 def 39 ref appTerm 6834 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 6677 remove 4661 ref appTerm 6835 def absTerm 6836 def appTerm 6837 def absTerm 6838 def appTerm 6839 def absTerm 6840 def 861 ref appTerm 6841 def betaConv nil 208 ref 6840 ref nil cons cons 6842 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6839 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6838 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6837 remove nil cons 6843 def cons nil cons nil cons cons 146 ref subst nil 208 ref 6836 ref nil cons cons 6844 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6835 remove nil cons cons nil cons nil cons cons 146 ref subst 6676 remove eqMp absThm eqMp 6845 def eqMp absThm eqMp eqMp absThm eqMp 6846 def nil 110 ref 99 ref 6840 ref appTerm 6847 def nil cons cons 6848 def 111 ref 6841 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6842 ref 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 6833 ref appTerm nil cons cons 111 ref 6834 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6833 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 6829 ref appTerm nil cons cons 111 ref 6830 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6829 remove nil cons cons 29 ref 866 ref nil cons 6849 def cons nil cons 6850 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 867 ref appTerm 47 ref 48 ref 6803 ref 59 ref 52 ref 54 ref 866 ref appTerm 6851 def appTerm 6852 def 57 ref appTerm 6853 def appTerm 6854 def appTerm 6855 def absTerm 6856 def appTerm 6857 def appTerm nil cons cons 6814 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 6821 ref cons nil cons nil cons cons 146 ref subst 867 remove assume eqMp 6858 def appThm 6857 ref refl 6859 def appThm nil 139 ref 6857 ref nil cons cons nil cons nil cons cons 840 ref subst 6860 def trans appThm 6807 ref appThm sym nil 257 ref 48 ref 71 ref 6856 ref 57 ref appTerm 6861 def appTerm 6806 ref appTerm 6862 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 6863 def 48 ref nil 139 ref 6862 remove nil cons cons nil cons nil cons cons 146 ref subst 6864 def nil 110 ref 6861 ref nil cons 6865 def cons 6814 ref cons nil cons cons 6866 def 126 ref subst 6867 def 6866 remove 194 ref subst 6868 def 6861 ref betaConv 6861 remove assume eqMp nil 110 ref 6855 remove nil cons 6869 def cons 6814 ref cons nil cons cons 6870 def 175 ref subst proveHyp 6871 def 6870 ref 126 ref subst 6872 def 6870 remove 194 ref subst 6873 def nil 151 ref 6795 ref cons 6874 def 153 ref 6854 remove nil cons cons nil cons cons nil cons cons 6875 def 167 ref subst 6876 def 6875 remove 334 ref subst 6877 def nil 3086 remove 153 ref 6853 ref nil cons 6878 def cons nil cons cons nil cons cons 6879 def 167 ref subst 6880 def 6879 remove 334 ref subst 6881 def 6805 ref 57 ref appTerm 6882 def betaConv 6883 def sym 6884 def 216 ref 217 ref 6801 ref appThm 222 ref appThm 2416 ref trans appThm 3098 ref 6689 remove appThm nil 139 ref 5830 ref cons nil cons nil cons cons 527 ref subst 6885 def trans appThm 6885 remove trans sym 6886 def 36 ref "_32152" 44 ref var 6887 def 49 ref 61 ref 6887 remove varTerm 6888 def appTerm appTerm 549 ref 6888 remove appTerm appTerm absTerm 6889 def 57 ref appTerm 6890 def appTerm refl 6889 ref 6851 ref appTerm betaConv appThm 155 ref 6890 remove betaConv appThm 49 ref 61 ref 6851 ref appTerm appTerm 549 ref 6851 ref appTerm appTerm 6891 def refl 6892 def appThm trans 6889 remove refl 6853 ref assume sym appThm eqMp sym 6893 def 542 ref 71 ref 870 ref appTerm 47 ref 48 ref 49 ref 6853 ref appTerm 6894 def 4658 ref appTerm absTerm 6895 def appTerm 6896 def appTerm 6897 def absTerm 6898 def 547 ref appTerm 6899 def betaConv 26 ref 99 ref 6898 ref appTerm 6900 def absTerm 6901 def 41 ref appTerm 6902 def betaConv 6840 remove 866 ref appTerm 6903 def betaConv 6846 ref nil 6848 remove 111 ref 6903 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6842 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 6901 ref appTerm nil cons cons 111 ref 6902 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6901 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6900 remove nil cons cons 111 ref 6899 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 6898 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 6897 remove nil cons cons 111 ref 6891 ref nil cons 6904 def cons nil cons 6905 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 6823 ref cons nil cons nil cons cons 146 ref subst 870 ref assume eqMp 6906 def appThm 6896 ref refl 6907 def appThm nil 139 ref 6896 ref nil cons cons nil cons nil cons cons 840 ref subst 6908 def trans appThm 6892 ref appThm sym nil 257 ref 4646 ref 71 ref 6895 ref 4647 ref appTerm 6909 def appTerm 6891 ref appTerm 6910 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 4646 ref nil 139 ref 6910 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6909 ref nil cons 6911 def cons 6905 ref cons nil cons cons 6912 def 126 ref subst 6912 remove 194 ref subst 6909 ref betaConv 6909 remove assume eqMp nil 110 ref 49 ref 6852 ref 4647 ref appTerm 6913 def appTerm 6680 remove appTerm nil cons 6914 def cons 6905 ref cons nil cons cons 6915 def 175 ref subst proveHyp 6915 ref 126 ref subst 6915 remove 194 ref subst nil 151 ref 6913 ref nil cons cons 6696 remove cons nil cons cons 6916 def 167 ref subst 6916 remove 334 ref subst 6700 remove 6701 remove 216 ref 6702 ref 6913 remove assume 6917 def appThm 6704 ref trans appThm 6705 remove 6917 remove appThm 6704 ref trans appThm 528 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6914 remove cons 153 ref 6904 remove cons nil cons 6918 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6911 remove cons 6918 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 6895 ref 797 ref appTerm appTerm 6891 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6896 ref appTerm 6891 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 6895 remove nil cons cons 6918 remove cons nil cons cons 811 ref subst eqMp 6919 def eqMp eqMp eqMp eqMp eqMp 256 ref 257 ref 6805 ref nil cons cons 6920 def 293 ref cons nil cons cons 724 ref subst 6921 def proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6869 remove cons 153 ref 6813 ref cons nil cons 6922 def cons nil cons cons 167 ref subst 6923 def deductAntisym eqMp eqMp eqMp nil 151 ref 6865 remove cons 6922 ref cons nil cons cons 167 ref subst 6924 def deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 6856 ref 797 ref appTerm appTerm 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6857 ref appTerm 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst 6925 def proveHyp 256 ref 257 ref 6856 remove nil cons cons 6922 ref cons nil cons cons 811 ref subst 6926 def eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 6818 remove cons 6927 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6811 remove cons 6928 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 872 ref 1893 ref appTerm appTerm 6929 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 873 ref appTerm 6930 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 872 remove nil cons cons 6931 def 6922 ref cons nil cons cons 811 ref subst eqMp eqMp 6932 def nil 110 ref 71 ref 862 ref appTerm 6806 ref appTerm 6933 def nil cons 6934 def cons 111 ref 6799 ref nil cons 6935 def cons nil cons 6936 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 6793 remove cons nil cons nil cons cons 146 ref subst 862 ref assume eqMp 6937 def appThm 6807 ref appThm nil 139 ref 6813 remove cons nil cons nil cons cons 840 ref subst 6938 def trans appThm 6800 ref appThm sym nil 257 ref 48 ref 71 ref 6882 ref appTerm 6799 ref appTerm 6939 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6939 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6882 ref nil cons 6940 def cons 6936 ref cons nil cons cons 6941 def 126 ref subst 6941 remove 194 ref subst 6883 remove 6882 remove assume eqMp nil 110 ref 6804 remove nil cons 6942 def cons 6936 ref cons nil cons cons 6943 def 175 ref subst proveHyp 6943 ref 126 ref subst 6943 remove 194 ref subst nil 6874 remove 153 ref 5827 remove cons nil cons cons nil cons cons 6944 def 167 ref subst 6944 remove 334 ref subst 5833 remove 5836 remove 4689 remove 6801 remove appThm 2416 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6942 remove cons 153 ref 6935 remove cons nil cons 6945 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6940 remove cons 6945 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 6805 remove 797 ref appTerm appTerm 6799 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 6806 ref appTerm 6799 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 6920 remove 6945 remove cons nil cons cons 811 ref subst eqMp 6946 def eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 6791 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 6790 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 893 ref appTerm 6947 def 6779 ref appTerm 6948 def appTerm 550 ref appTerm 6949 def absTerm 6950 def appTerm 6951 def absTerm 6952 def appTerm 6953 def absTerm 6954 def appTerm 6955 def absTerm 6956 def appTerm 6957 def absTerm 6958 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 6957 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6956 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 6955 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6954 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 6953 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 6952 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6951 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 6950 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 6949 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6948 remove nil cons 6959 def cons 5807 ref cons nil cons cons 6960 def 126 ref subst 6960 remove 194 ref subst nil 151 ref 893 ref nil cons 6961 def cons 6962 def 6796 ref cons nil cons cons 6963 def 167 ref subst 6963 remove 334 ref subst 6802 ref 226 ref 931 ref appThm 6807 ref appThm sym nil 208 ref 863 ref 71 ref 917 ref 866 ref appTerm 6964 def appTerm 6965 def 6806 ref appTerm 6966 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 6966 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6964 ref nil cons 6967 def cons 6968 def 6814 ref cons nil cons cons 6969 def 126 ref subst 6969 remove 194 ref subst 6964 ref betaConv 6970 def 6964 remove assume eqMp 6971 def nil 110 ref 916 ref nil cons cons 6972 def 6814 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 894 ref 71 ref 915 ref 897 ref appTerm 6973 def appTerm 6974 def 6806 ref appTerm 6975 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 894 ref nil 139 ref 6975 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6973 ref nil cons 6976 def cons 6977 def 6814 ref cons nil cons cons 6978 def 126 ref subst 6978 remove 194 ref subst 6973 ref betaConv 6979 def 6973 remove assume eqMp 6980 def nil 110 ref 914 ref nil cons cons 6981 def 6814 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 895 ref 71 ref 913 ref 902 ref appTerm 6982 def appTerm 6983 def 6806 ref appTerm 6984 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 895 ref nil 139 ref 6984 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 6982 ref nil cons 6985 def cons 6986 def 6814 ref cons nil cons cons 6987 def 126 ref subst 6987 remove 194 ref subst 6982 ref betaConv 6988 def 6982 remove assume eqMp 6989 def nil 110 ref 912 remove nil cons 6990 def cons 6991 def 6814 ref cons nil cons cons 6992 def 175 ref subst proveHyp 6992 ref 126 ref subst 6992 remove 194 ref subst nil 6822 ref 153 ref 911 remove nil cons cons nil cons cons nil cons cons 6993 def 334 ref subst 6994 def nil 151 ref 898 ref nil cons 6995 def cons 6996 def 153 ref 910 remove nil cons cons nil cons cons nil cons cons 6997 def 167 ref subst 6998 def 6997 remove 334 ref subst 6999 def nil 151 ref 903 ref nil cons 7000 def cons 7001 def 153 ref 909 ref nil cons 7002 def cons nil cons cons nil cons cons 7003 def 167 ref subst 7004 def 7003 remove 334 ref subst 7005 def 542 ref 71 ref 909 ref appTerm 47 ref 48 ref 6894 ref 49 ref 52 ref 54 ref 897 ref appTerm 7006 def appTerm 7007 def 57 ref appTerm 7008 def appTerm 7009 def 49 ref 52 ref 54 ref 902 ref appTerm 7010 def appTerm 7011 def 57 ref appTerm 7012 def appTerm 550 ref appTerm 7013 def appTerm 7014 def appTerm 7015 def absTerm 7016 def appTerm 7017 def appTerm 7018 def absTerm 7019 def 547 ref appTerm 7020 def betaConv 26 ref 99 ref 542 ref 71 ref 907 remove 41 ref appTerm 547 ref appTerm 7021 def appTerm 47 ref 48 ref 6894 ref 7009 remove 4658 remove appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7022 def 902 ref appTerm 7023 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 906 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm 7024 def appTerm 47 ref 48 ref 6894 remove 4659 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7025 def 897 ref appTerm 7026 def betaConv 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 942 ref appTerm 6806 ref appTerm 7027 def absTerm 7028 def appTerm 7029 def absTerm 7030 def appTerm 7031 def absTerm 7032 def appTerm 7033 def absTerm 7034 def 866 ref appTerm 7035 def betaConv nil 208 ref 7034 ref nil cons cons 7036 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7033 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7032 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7031 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7030 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7029 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7028 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7027 remove nil cons 7037 def cons nil cons nil cons cons 146 ref subst 226 ref 964 ref appThm 6807 ref appThm sym nil 208 ref 863 ref 71 ref 950 ref 866 ref appTerm 7038 def appTerm 7039 def 6806 ref appTerm 7040 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7040 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7038 ref nil cons 7041 def cons 7042 def 6814 ref cons nil cons cons 7043 def 126 ref subst 7043 remove 194 ref subst 7038 ref betaConv 7044 def 7038 remove assume eqMp 7045 def nil 110 ref 949 remove nil cons 7046 def cons 7047 def 6814 ref cons nil cons cons 7048 def 175 ref subst proveHyp 7048 ref 126 ref subst 7048 remove 194 ref subst nil 151 ref 945 ref nil cons 7049 def cons 7050 def 153 ref 948 ref nil cons 7051 def cons nil cons cons nil cons cons 7052 def 167 ref subst 7053 def 7052 remove 334 ref subst 7054 def 542 ref 71 ref 944 remove 547 ref appTerm 7055 def appTerm 6828 ref appTerm absTerm 7056 def 866 ref appTerm 7057 def betaConv 26 ref 99 ref 542 ref 71 ref 943 remove 41 ref appTerm 7058 def 547 ref appTerm 7059 def appTerm 6832 ref appTerm absTerm appTerm absTerm 7060 def 39 ref appTerm 7061 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 2785 remove appTerm 4661 ref appTerm 7062 def absTerm 7063 def appTerm 7064 def absTerm 7065 def appTerm 7066 def absTerm 7067 def 861 ref appTerm 7068 def betaConv nil 208 ref 7067 ref nil cons cons 7069 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7066 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7065 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7064 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7063 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7062 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 2777 remove appThm 4662 ref appThm sym 611 ref 4699 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 7070 def nil 110 ref 99 ref 7067 ref appTerm 7071 def nil cons cons 7072 def 111 ref 7068 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7069 ref 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7060 ref appTerm nil cons cons 111 ref 7061 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7060 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7056 ref appTerm nil cons cons 111 ref 7057 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7056 remove nil cons cons 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 945 ref appTerm 6857 ref appTerm nil cons cons 6814 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7049 ref cons nil cons nil cons cons 146 ref subst 945 remove assume eqMp 7073 def appThm 6859 ref appThm 6860 ref trans appThm 6807 ref appThm sym 6863 ref 48 ref 6864 ref 6867 ref 6868 ref 6871 ref 6872 ref 6873 ref 6876 ref 6877 ref 6880 ref 6881 ref 6884 ref 6886 ref 6893 ref 542 ref 71 ref 948 ref appTerm 6896 ref appTerm 7074 def absTerm 7075 def 547 ref appTerm 7076 def betaConv 26 ref 99 ref 7075 ref appTerm 7077 def absTerm 7078 def 41 ref appTerm 7079 def betaConv 7067 remove 866 ref appTerm 7080 def betaConv 7070 ref nil 7072 remove 111 ref 7080 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7069 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7078 ref appTerm nil cons cons 111 ref 7079 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7078 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7077 remove nil cons cons 111 ref 7076 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7075 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7074 remove nil cons cons 6905 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7051 ref cons nil cons nil cons cons 146 ref subst 948 ref assume eqMp 7081 def appThm 6907 ref appThm 6908 ref trans appThm 6892 ref appThm sym 6919 ref eqMp eqMp eqMp eqMp eqMp 6921 ref proveHyp proveHyp proveHyp proveHyp proveHyp eqMp 6923 ref deductAntisym eqMp eqMp eqMp 6924 ref deductAntisym eqMp eqMp absThm eqMp 6925 ref proveHyp 6926 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 7046 remove cons 7082 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7041 remove cons 7083 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 950 ref 1893 ref appTerm appTerm 7084 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 951 ref appTerm 7085 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 950 remove nil cons cons 7086 def 6922 ref cons nil cons cons 811 ref subst eqMp eqMp 7087 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 7088 def nil 110 ref 99 ref 7034 ref appTerm 7089 def nil cons cons 7090 def 111 ref 7035 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7036 ref 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7025 ref appTerm nil cons cons 111 ref 7026 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7025 remove nil cons cons 29 ref 897 ref nil cons 7091 def cons nil cons 7092 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7022 ref appTerm nil cons cons 111 ref 7023 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7022 remove nil cons cons 29 ref 902 ref nil cons 7093 def cons nil cons 7094 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7019 ref appTerm nil cons cons 111 ref 7020 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7019 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7018 remove nil cons cons 6814 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7002 ref cons nil cons nil cons cons 146 ref subst 909 ref assume eqMp 7095 def appThm 7017 ref refl appThm nil 139 ref 7017 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 6807 ref appThm sym nil 257 ref 48 ref 71 ref 7016 ref 57 ref appTerm 7096 def appTerm 6806 ref appTerm 7097 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7097 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7096 ref nil cons 7098 def cons 6814 ref cons nil cons cons 7099 def 126 ref subst 7099 remove 194 ref subst 7096 ref betaConv 7096 remove assume eqMp nil 110 ref 7015 remove nil cons 7100 def cons 6814 ref cons nil cons cons 7101 def 175 ref subst proveHyp 7101 ref 126 ref subst 7101 remove 194 ref subst nil 151 ref 6878 remove cons 153 ref 7014 remove nil cons cons nil cons cons nil cons cons 334 ref subst nil 151 ref 7008 ref nil cons cons 153 ref 7013 remove nil cons cons nil cons cons nil cons cons 7102 def 167 ref subst 7102 remove 334 ref subst nil 151 ref 7012 ref nil cons cons 5834 ref cons nil cons cons 7103 def 167 ref subst 7103 remove 334 ref subst 6884 ref 6803 remove refl 4627 ref 63 ref refl 4690 remove appThm nil 139 ref 1107 ref cons nil cons nil cons cons 397 ref subst trans appThm appThm sym 36 ref "_32281" 44 ref var 7104 def 6778 ref 7104 remove varTerm appTerm absTerm 7105 def 57 ref appTerm 7106 def appTerm refl 7105 ref 7006 ref appTerm betaConv appThm 155 ref 7106 remove betaConv appThm 6778 ref 7006 ref appTerm 7107 def refl appThm trans 7105 remove refl 7008 ref assume sym appThm eqMp sym 29 ref 725 ref 26 ref 49 ref 901 remove 897 ref appTerm appTerm 56 ref 6777 ref appTerm 7108 def appTerm absTerm appTerm absTerm 7109 def 861 ref appTerm betaConv sym 26 ref 899 ref 6778 ref 6777 ref appTerm 7110 def appTerm 7111 def absTerm 7112 def 41 ref appTerm betaConv sym 216 ref nil 139 ref 6995 ref cons nil cons nil cons cons 146 ref subst 898 remove assume eqMp appThm 7113 def nil 258 ref 6777 ref nil cons 7114 def cons nil cons 7115 def nil cons cons 489 ref subst 7116 def appThm 528 ref trans 7117 def sym 145 ref eqMp eqMp 207 ref 208 ref 7112 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7109 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 7109 remove appTerm nil cons cons 111 ref 7007 remove 6777 ref appTerm 7118 def nil cons 7119 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 48 ref 7114 ref cons 7120 def 542 ref 7091 remove cons nil cons cons nil cons cons 6057 ref subst eqMp 7121 def nil 110 ref 7119 ref cons 7122 def 111 ref 7107 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 258 ref 7006 ref nil cons cons 5996 ref 7114 remove cons nil cons cons nil cons cons 391 ref 189 ref 71 ref 417 remove appTerm 419 remove appTerm 7123 def absTerm 7124 def 190 ref appTerm 7125 def betaConv 413 ref 184 ref 7124 ref appTerm 7126 def absTerm 7127 def 416 ref appTerm 7128 def betaConv nil 184 ref 189 ref 184 ref 413 ref 7123 ref absTerm 7129 def appTerm 7130 def absTerm 7131 def appTerm 7132 def axiom nil 110 ref 7132 remove nil cons 7133 def cons 7134 def 111 ref 184 ref 7127 ref appTerm nil cons 7135 def cons nil cons cons nil cons cons 7136 def 175 ref subst proveHyp 7136 ref 126 ref subst 7136 remove 194 ref subst nil 185 ref 7127 remove nil cons cons 7137 def nil cons nil cons cons 642 ref subst 413 ref nil 139 ref 7126 remove nil cons 7138 def cons nil cons nil cons cons 146 ref subst nil 185 ref 7124 remove nil cons cons 7139 def nil cons nil cons cons 642 ref subst 189 ref nil 139 ref 7123 remove nil cons cons nil cons nil cons cons 146 ref subst 7129 ref 416 ref appTerm 7140 def betaConv 7131 ref 190 ref appTerm 7141 def betaConv nil 7134 remove 111 ref 7141 remove nil cons cons nil cons cons nil cons cons 175 ref subst 427 ref 185 ref 7131 remove nil cons cons 428 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7130 remove nil cons cons 111 ref 7140 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7129 remove nil cons cons 429 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 7133 remove cons 153 ref 7135 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 7135 remove cons 111 ref 7128 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 7137 remove 429 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7138 remove cons 111 ref 7125 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 7139 remove 428 ref cons nil cons cons 205 ref subst eqMp eqMp subst subst eqMp eqMp nil 110 ref 6795 remove cons 111 ref 3116 remove cons nil cons cons nil cons cons 194 ref subst proveHyp 36 ref "_32293" 44 ref var 7142 def 49 ref 56 ref 7142 remove varTerm 7143 def appTerm appTerm 61 ref 7143 remove appTerm appTerm absTerm 7144 def 57 ref appTerm appTerm refl 7144 ref 7010 ref appTerm betaConv appThm 155 ref 2202 remove appThm 49 ref 56 ref 7010 ref appTerm appTerm 61 ref 7010 ref appTerm appTerm 7145 def refl 7146 def appThm trans 7144 remove refl 7012 ref assume sym appThm eqMp sym 6836 remove 902 ref appTerm 7147 def betaConv 6845 remove nil 110 ref 6843 remove cons 111 ref 7147 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6844 remove 7094 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 903 ref appTerm 47 ref 48 ref 59 ref 63 ref 7012 ref appTerm appTerm absTerm 7148 def appTerm 7149 def appTerm nil cons cons 111 ref 7145 ref nil cons 7150 def cons nil cons 7151 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7000 ref cons nil cons nil cons cons 146 ref subst 903 remove assume eqMp 7152 def appThm 7149 ref refl appThm nil 139 ref 7149 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7146 remove appThm sym nil 257 ref 4646 ref 71 ref 7148 ref 4647 ref appTerm 7153 def appTerm 7145 ref appTerm 7154 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 4646 remove nil 139 ref 7154 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7153 ref nil cons 7155 def cons 7151 ref cons nil cons cons 7156 def 126 ref subst 7156 remove 194 ref subst 7153 ref betaConv 7153 remove assume eqMp nil 110 ref 4649 remove 6678 remove 7011 ref 4647 remove appTerm 7157 def appTerm 7158 def appTerm nil cons 7159 def cons 7151 remove cons nil cons cons 7160 def 175 ref subst proveHyp 7160 ref 126 ref subst 7160 remove 194 ref subst nil 151 ref 4648 ref nil cons cons 153 ref 7158 remove nil cons cons nil cons cons nil cons cons 7161 def 167 ref subst 7161 remove 334 ref subst nil 6698 remove 153 ref 7157 ref nil cons cons nil cons cons nil cons cons 7162 def 167 ref subst 7162 remove 334 ref subst 216 ref 217 ref 4648 remove assume appThm 7157 remove assume 7163 def appThm 6704 ref trans appThm 6702 remove 7163 remove appThm 6704 remove trans appThm 528 ref trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 7159 remove cons 153 ref 7150 remove cons nil cons 7164 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7155 remove cons 7164 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 7148 ref 797 ref appTerm appTerm 7145 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7149 remove appTerm 7145 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7148 remove nil cons cons 7164 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp 6921 ref proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 7100 remove cons 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7098 remove cons 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 7016 ref 797 ref appTerm appTerm 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7017 remove appTerm 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7016 remove nil cons cons 6922 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 6990 remove cons 7165 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 6985 remove cons 7166 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 913 ref 1893 ref appTerm appTerm 7167 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 914 remove appTerm 7168 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 913 remove nil cons cons 7169 def 6922 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6976 remove cons 7170 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 915 ref 1893 ref appTerm appTerm 7171 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 916 remove appTerm 7172 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 915 remove nil cons cons 7173 def 6922 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 6967 remove cons 7174 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 917 ref 1893 ref appTerm appTerm 7175 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 918 ref appTerm 7176 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 917 remove nil cons cons 7177 def 6922 ref cons nil cons cons 811 ref subst eqMp eqMp 7178 def nil 110 ref 71 ref 893 ref appTerm 6806 ref appTerm 7179 def nil cons 7180 def cons 6936 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 6961 remove cons nil cons nil cons cons 146 ref subst 893 ref assume eqMp 7181 def appThm 6807 ref appThm 6938 ref trans appThm 6800 ref appThm sym 6946 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 6959 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 6958 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 942 ref appTerm 7182 def 6779 ref appTerm 7183 def appTerm 550 ref appTerm 7184 def absTerm 7185 def appTerm 7186 def absTerm 7187 def appTerm 7188 def absTerm 7189 def appTerm 7190 def absTerm 7191 def appTerm 7192 def absTerm 7193 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7192 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7191 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7190 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7189 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7188 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7187 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7186 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7185 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7184 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7183 remove nil cons 7194 def cons 5807 ref cons nil cons cons 7195 def 126 ref subst 7195 remove 194 ref subst nil 151 ref 942 ref nil cons 7196 def cons 7197 def 6796 ref cons nil cons cons 7198 def 167 ref subst 7198 remove 334 ref subst 6802 ref 7087 remove nil 110 ref 7037 remove cons 6936 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7196 remove cons nil cons nil cons cons 146 ref subst 942 ref assume eqMp 7199 def appThm 6807 ref appThm 6938 ref trans appThm 6800 ref appThm sym 6946 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 7194 remove cons 5834 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7193 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 969 ref appTerm 7200 def 6779 ref appTerm 7201 def appTerm 550 ref appTerm 7202 def absTerm 7203 def appTerm 7204 def absTerm 7205 def appTerm 7206 def absTerm 7207 def appTerm 7208 def absTerm 7209 def appTerm 7210 def absTerm 7211 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7210 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7209 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7208 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7207 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7206 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7205 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7204 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7203 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7202 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7201 remove nil cons 7212 def cons 5807 remove cons nil cons cons 7213 def 126 ref subst 7213 remove 194 ref subst nil 151 ref 969 ref nil cons 7214 def cons 7215 def 6796 remove cons nil cons cons 7216 def 167 ref subst 7216 remove 334 ref subst 6802 remove 226 ref 991 ref appThm 6807 ref appThm sym nil 208 ref 863 ref 71 ref 977 ref 866 ref appTerm 7217 def appTerm 7218 def 6806 ref appTerm 7219 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7219 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7217 ref nil cons 7220 def cons 7221 def 6814 ref cons nil cons cons 7222 def 126 ref subst 7222 remove 194 ref subst 7217 ref betaConv 7223 def 7217 remove assume eqMp 7224 def nil 110 ref 976 remove nil cons 7225 def cons 7226 def 6814 ref cons nil cons cons 7227 def 175 ref subst proveHyp 7227 ref 126 ref subst 7227 remove 194 ref subst nil 151 ref 972 ref nil cons 7228 def cons 7229 def 153 ref 975 ref nil cons 7230 def cons nil cons cons nil cons cons 7231 def 167 ref subst 7232 def 7231 remove 334 ref subst 7233 def 542 ref 71 ref 971 remove 547 ref appTerm 7234 def appTerm 6828 remove appTerm absTerm 7235 def 866 ref appTerm 7236 def betaConv 26 ref 99 ref 542 ref 71 ref 970 remove 41 ref appTerm 7237 def 547 ref appTerm 7238 def appTerm 6832 remove appTerm absTerm appTerm absTerm 7239 def 39 ref appTerm 7240 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 2797 remove appTerm 4661 ref appTerm 7241 def absTerm 7242 def appTerm 7243 def absTerm 7244 def appTerm 7245 def absTerm 7246 def 861 ref appTerm 7247 def betaConv nil 208 ref 7246 ref nil cons cons 7248 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7245 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7244 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7243 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7242 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7241 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 2789 remove appThm 4662 ref appThm sym 620 ref 4699 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 7249 def nil 110 ref 99 ref 7246 ref appTerm 7250 def nil cons cons 7251 def 111 ref 7247 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7248 ref 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7239 ref appTerm nil cons cons 111 ref 7240 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7239 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7235 ref appTerm nil cons cons 111 ref 7236 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7235 remove nil cons cons 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 972 ref appTerm 6857 remove appTerm nil cons cons 6814 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7228 ref cons nil cons nil cons cons 146 ref subst 972 remove assume eqMp 7252 def appThm 6859 remove appThm 6860 remove trans appThm 6807 ref appThm sym 6863 remove 48 ref 6864 remove 6867 remove 6868 remove 6871 remove 6872 remove 6873 remove 6876 remove 6877 remove 6880 remove 6881 remove 6884 remove 6886 remove 6893 remove 542 ref 71 ref 975 ref appTerm 6896 remove appTerm 7253 def absTerm 7254 def 547 ref appTerm 7255 def betaConv 26 ref 99 ref 7254 ref appTerm 7256 def absTerm 7257 def 41 ref appTerm 7258 def betaConv 7246 remove 866 ref appTerm 7259 def betaConv 7249 ref nil 7251 remove 111 ref 7259 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7248 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7257 ref appTerm nil cons cons 111 ref 7258 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7257 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7256 remove nil cons cons 111 ref 7255 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7254 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7253 remove nil cons cons 6905 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7230 ref cons nil cons nil cons cons 146 ref subst 975 ref assume eqMp 7260 def appThm 6907 remove appThm 6908 remove trans appThm 6892 remove appThm sym 6919 remove eqMp eqMp eqMp eqMp eqMp 6921 remove proveHyp proveHyp proveHyp proveHyp proveHyp eqMp 6923 remove deductAntisym eqMp eqMp eqMp 6924 remove deductAntisym eqMp eqMp absThm eqMp 6925 remove proveHyp 6926 remove eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 7225 remove cons 7261 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7220 remove cons 7262 def 6922 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 977 ref 1893 ref appTerm appTerm 7263 def 6806 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 978 ref appTerm 7264 def 6806 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 977 remove nil cons cons 7265 def 6922 remove cons nil cons cons 811 ref subst eqMp eqMp 7266 def nil 110 ref 71 ref 969 ref appTerm 6806 remove appTerm 7267 def nil cons 7268 def cons 6936 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 7214 remove cons nil cons nil cons cons 146 ref subst 969 ref assume eqMp 7269 def appThm 6807 remove appThm 6938 remove trans appThm 6800 remove appThm sym 6946 remove eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 7212 remove cons 5834 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7211 remove appTerm thm nil 262 ref 1943 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 4014 ref appTerm 7270 def 58 ref appTerm appTerm 550 ref appTerm 7271 def absTerm 7272 def appTerm 7273 def absTerm 7274 def appTerm 7275 def absTerm 7276 def appTerm 7277 def absTerm 7278 def appTerm 7279 def absTerm 7280 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 7279 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7278 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7277 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7276 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7275 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7274 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7273 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7272 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7271 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 4017 ref appThm 7281 def 4032 remove appThm appThm 5804 remove appThm sym 1957 ref 5839 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 7280 remove appTerm thm nil 592 ref 539 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 5805 remove appTerm 550 ref appTerm 7282 def absTerm 7283 def appTerm 7284 def absTerm 7285 def appTerm 7286 def absTerm 7287 def appTerm 7288 def absTerm 7289 def appTerm 7290 def absTerm 7291 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 7290 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7289 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7288 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7287 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7286 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7285 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7284 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7283 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7282 remove nil cons cons nil cons nil cons cons 146 ref subst 5839 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 588 ref 7291 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 71 ref 49 ref 6778 ref 55 ref appTerm 7292 def appTerm 6778 ref 60 ref appTerm 7293 def appTerm appTerm 7294 def 725 ref 542 ref 862 remove absTerm appTerm 7295 def appTerm 7296 def absTerm 7297 def appTerm 7298 def absTerm 7299 def appTerm 7300 def absTerm 7301 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7300 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7299 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7298 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7297 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7296 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref nil 5996 ref 657 remove cons 7115 ref cons nil cons cons 391 remove 430 remove subst 7302 def subst appThm nil 5996 remove 1130 remove cons 7303 def 7115 ref cons nil cons cons 7302 ref subst appThm appThm 7304 def 7295 ref refl appThm sym nil 110 ref 49 ref 7108 ref appTerm 61 ref 6777 ref appTerm 7305 def appTerm nil cons 7306 def cons 7307 def 111 ref 7295 remove nil cons 7308 def cons nil cons cons nil cons cons 7309 def 126 ref subst 7309 remove 194 ref subst nil 151 ref 7108 ref nil cons cons 153 ref 7305 ref nil cons cons nil cons cons nil cons cons 7310 def 167 ref subst 7311 def 7310 remove 334 ref subst 7312 def 997 ref 542 ref 887 ref absThm appThm sym 26 ref 71 ref 7293 remove appTerm 7313 def 725 ref 542 ref 6831 ref absTerm 7314 def appTerm 7315 def appTerm 7316 def absTerm 7317 def 39 ref appTerm 7318 def betaConv 2774 ref 861 ref appTerm 7319 def betaConv 2767 ref nil 110 ref 2775 remove nil cons cons 7320 def 111 ref 7319 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2774 ref nil cons cons 7321 def 886 ref cons nil cons cons 205 ref subst eqMp eqMp 7322 def nil 110 ref 99 ref 7317 ref appTerm nil cons cons 7323 def 111 ref 7318 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7317 ref nil cons cons 7324 def 210 ref cons nil cons cons 205 ref subst eqMp eqMp 7325 def nil 110 ref 71 ref 7292 remove appTerm 7326 def 725 ref 542 ref 6827 ref absTerm 7327 def appTerm 7328 def appTerm nil cons cons 7329 def 111 ref 725 ref 542 ref 873 ref absTerm 7330 def appTerm 7331 def nil cons 7332 def cons nil cons 7333 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 6778 remove refl 7334 def 7108 ref assume 7335 def appThm 7116 ref trans appThm 7336 def 7328 ref refl appThm nil 139 ref 7328 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7337 def 7331 ref refl 7338 def appThm sym nil 208 ref 863 ref 71 ref 7327 ref 866 ref appTerm 7339 def appTerm 7340 def 7331 ref appTerm 7341 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7341 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7339 ref nil cons 7342 def cons 7343 def 7333 ref cons nil cons cons 7344 def 126 ref subst 7344 remove 194 ref subst 7339 ref betaConv 7339 remove assume eqMp 7345 def nil 110 ref 6821 remove cons 7346 def 7333 ref cons nil cons cons 7347 def 175 ref subst proveHyp 7347 ref 126 ref subst 7347 remove 194 ref subst 26 ref 71 ref 6852 ref 60 ref appTerm 7348 def appTerm 7349 def 725 ref 542 ref 870 ref absTerm 7350 def appTerm 7351 def appTerm 7352 def absTerm 7353 def 41 ref appTerm 7354 def betaConv 2774 ref 866 ref appTerm 7355 def betaConv 2767 ref nil 7320 ref 111 ref 7355 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7321 ref 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7353 ref appTerm nil cons cons 111 ref 7354 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7353 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7352 remove nil cons cons 7333 ref cons nil cons cons 175 ref subst proveHyp 29 ref 725 ref 26 ref 6667 remove 7108 ref appTerm absTerm appTerm absTerm 7356 def 861 ref appTerm betaConv sym 26 ref 49 ref 896 remove 866 ref appTerm appTerm 7110 ref appTerm absTerm 7357 def 39 ref appTerm betaConv sym 216 ref 6858 remove appThm 7358 def 7116 ref appThm 528 ref trans 7359 def sym 145 ref eqMp eqMp 207 ref 208 ref 7357 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7356 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 7356 remove appTerm nil cons cons 111 ref 6852 ref 6777 ref appTerm 7360 def nil cons 7361 def cons nil cons 7362 def cons nil cons cons 175 ref subst proveHyp nil 7120 ref 542 ref 6849 remove cons nil cons cons nil cons cons 7363 def 6057 ref subst eqMp 7364 def 226 ref 226 ref 217 ref 7360 ref assume 7365 def appThm 7366 def 7305 remove assume 7367 def appThm 7116 ref trans appThm 7368 def 7351 ref refl appThm nil 139 ref 7351 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7338 remove appThm sym nil 208 ref 542 ref 71 ref 7350 ref 547 ref appTerm 7369 def appTerm 7331 ref appTerm 7370 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7370 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7369 ref nil cons 7371 def cons 7333 ref cons nil cons cons 7372 def 126 ref subst 7372 remove 194 ref subst 7369 ref betaConv 7369 remove assume eqMp nil 110 ref 6823 ref cons 7333 remove cons nil cons cons 7373 def 175 ref subst proveHyp 7373 ref 126 ref subst 7373 remove 194 ref subst 7330 ref 547 ref appTerm betaConv sym 6816 remove sym 7358 ref 6906 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 6931 ref 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7330 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 6823 remove cons 153 ref 7332 remove cons nil cons 7374 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7371 remove cons 7374 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7350 ref 1893 ref appTerm appTerm 7331 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7351 remove appTerm 7331 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7350 remove nil cons cons 7374 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp eqMp eqMp nil 6822 ref 7374 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7342 remove cons 7375 def 7374 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7327 ref 1893 ref appTerm appTerm 7376 def 7331 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7328 remove appTerm 7377 def 7331 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7327 remove nil cons cons 7378 def 7374 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 7306 remove cons 7379 def 153 ref 7308 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7301 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 7294 ref 725 ref 542 ref 893 remove absTerm appTerm 7380 def appTerm 7381 def absTerm 7382 def appTerm 7383 def absTerm 7384 def appTerm 7385 def absTerm 7386 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7385 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7384 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7383 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7382 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7381 remove nil cons cons nil cons nil cons cons 146 ref subst 7304 ref 7380 ref refl appThm sym nil 7307 ref 111 ref 7380 remove nil cons 7387 def cons nil cons cons nil cons cons 7388 def 126 ref subst 7388 remove 194 ref subst 7311 ref 7312 ref 997 ref 542 ref 931 ref absThm appThm sym 7325 remove nil 7329 remove 111 ref 725 ref 542 ref 918 ref absTerm 7389 def appTerm 7390 def nil cons 7391 def cons nil cons 7392 def cons nil cons cons 175 ref subst proveHyp 7337 remove 7390 ref refl 7393 def appThm sym nil 208 ref 863 ref 7340 remove 7390 ref appTerm 7394 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7394 remove nil cons cons nil cons nil cons cons 146 ref subst nil 7343 remove 7392 ref cons nil cons cons 7395 def 126 ref subst 7395 remove 194 ref subst 7345 remove nil 7346 remove 7392 ref cons nil cons cons 7396 def 175 ref subst proveHyp 7396 ref 126 ref subst 7396 remove 194 ref subst 7317 remove 41 ref appTerm 7397 def betaConv 7322 remove nil 7323 remove 111 ref 7397 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7324 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7316 remove nil cons cons 7392 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7334 remove 7367 ref appThm 7116 ref trans appThm 7315 ref refl appThm nil 139 ref 7315 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7393 ref appThm sym nil 208 ref 894 ref 71 ref 7314 ref 897 ref appTerm 7398 def appTerm 7390 ref appTerm 7399 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 894 ref nil 139 ref 7399 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7398 ref nil cons 7400 def cons 7392 ref cons nil cons cons 7401 def 126 ref subst 7401 remove 194 ref subst 7398 ref betaConv 7398 remove assume eqMp nil 110 ref 6995 remove cons 7392 ref cons nil cons cons 7402 def 175 ref subst proveHyp 7402 ref 126 ref subst 7402 remove 194 ref subst 2772 ref 41 ref appTerm 7403 def betaConv 2774 remove 39 ref appTerm 7404 def betaConv 2767 remove nil 7320 remove 111 ref 7404 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7321 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2773 remove nil cons cons 111 ref 7403 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2772 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 2771 remove nil cons cons 7392 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 217 ref 7335 remove appThm 7405 def 7367 remove appThm 7116 ref trans appThm 2770 ref refl appThm nil 139 ref 2770 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7393 ref appThm sym nil 208 ref 895 ref 71 ref 2769 ref 902 ref appTerm 7406 def appTerm 7390 ref appTerm 7407 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 895 ref nil 139 ref 7407 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7406 ref nil cons 7408 def cons 7392 ref cons nil cons cons 7409 def 126 ref subst 7409 remove 194 ref subst 7406 ref betaConv 7406 remove assume eqMp nil 110 ref 7000 remove cons 7392 ref cons nil cons cons 7410 def 175 ref subst proveHyp 7410 ref 126 ref subst 7410 remove 194 ref subst 7364 remove 7121 remove 29 ref 725 ref 26 ref 904 ref 7108 ref appTerm absTerm 7411 def appTerm absTerm 7412 def 39 ref appTerm betaConv sym 7411 ref 41 ref appTerm betaConv sym 216 ref 7152 remove appThm 7413 def 7405 remove 6777 ref refl appThm 7116 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 208 ref 7411 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7412 ref nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 7412 remove appTerm nil cons cons 111 ref 7011 ref 6777 ref appTerm 7414 def nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 7120 remove 542 ref 7093 remove cons nil cons cons nil cons cons 6057 remove subst eqMp 26 ref 71 ref 49 ref 6852 ref 7006 ref appTerm appTerm 7415 def 7348 ref appTerm appTerm 725 ref 542 ref 7021 ref absTerm appTerm appTerm absTerm 7416 def 902 ref appTerm 7417 def betaConv 29 ref 99 ref 26 ref 71 ref 49 ref 6852 ref 55 ref appTerm appTerm 7348 remove appTerm appTerm 725 ref 542 ref 7024 ref absTerm appTerm appTerm absTerm appTerm absTerm 7418 def 897 ref appTerm 7419 def betaConv 857 ref 99 ref 29 ref 99 ref 26 ref 7294 ref 725 ref 542 ref 942 remove absTerm appTerm 7420 def appTerm 7421 def absTerm 7422 def appTerm 7423 def absTerm 7424 def appTerm 7425 def absTerm 7426 def 866 ref appTerm 7427 def betaConv nil 208 ref 7426 ref nil cons cons 7428 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7425 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7424 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7423 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7422 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7421 remove nil cons cons nil cons nil cons cons 146 ref subst 7304 ref 7420 ref refl appThm sym nil 7307 ref 111 ref 7420 remove nil cons 7429 def cons nil cons cons nil cons cons 7430 def 126 ref subst 7430 remove 194 ref subst 7311 ref 7312 ref 997 ref 542 ref 964 ref absThm appThm sym 26 ref 7313 ref 725 ref 542 ref 7059 ref absTerm appTerm appTerm absTerm 7431 def 39 ref appTerm 7432 def betaConv 2786 ref 861 ref appTerm 7433 def betaConv 2782 ref nil 110 ref 2787 remove nil cons cons 7434 def 111 ref 7433 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2786 ref nil cons cons 7435 def 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7431 ref appTerm nil cons cons 111 ref 7432 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7431 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7326 ref 725 ref 542 ref 7055 ref absTerm 7436 def appTerm 7437 def appTerm nil cons cons 111 ref 725 ref 542 ref 951 ref absTerm 7438 def appTerm 7439 def nil cons 7440 def cons nil cons 7441 def cons nil cons cons 175 ref subst proveHyp 226 ref 7336 ref 7437 ref refl appThm nil 139 ref 7437 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7439 ref refl 7442 def appThm sym nil 208 ref 863 ref 71 ref 7436 ref 866 ref appTerm 7443 def appTerm 7439 ref appTerm 7444 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7444 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7443 ref nil cons 7445 def cons 7441 ref cons nil cons cons 7446 def 126 ref subst 7446 remove 194 ref subst 7443 ref betaConv 7443 remove assume eqMp nil 110 ref 7049 remove cons 7441 ref cons nil cons cons 7447 def 175 ref subst proveHyp 7447 ref 126 ref subst 7447 remove 194 ref subst 26 ref 7349 ref 725 ref 542 ref 948 ref absTerm 7448 def appTerm 7449 def appTerm 7450 def absTerm 7451 def 41 ref appTerm 7452 def betaConv 2786 remove 866 ref appTerm 7453 def betaConv 2782 remove nil 7434 remove 111 ref 7453 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7435 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7451 ref appTerm nil cons cons 111 ref 7452 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7451 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7450 remove nil cons cons 7441 ref cons nil cons cons 175 ref subst proveHyp 29 ref 725 ref 26 ref 6738 remove 7108 ref appTerm absTerm appTerm absTerm 7454 def 861 ref appTerm betaConv sym 26 ref 49 ref 7058 remove 866 ref appTerm appTerm 7110 ref appTerm absTerm 7455 def 39 ref appTerm betaConv sym 216 ref 7073 remove appThm 7456 def 7116 ref appThm 528 ref trans 7457 def sym 145 ref eqMp eqMp 207 ref 208 ref 7455 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7454 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 7454 remove appTerm nil cons cons 7362 ref cons nil cons cons 175 ref subst proveHyp 7363 ref 6435 remove subst eqMp 226 ref 7368 ref 7449 ref refl appThm nil 139 ref 7449 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7442 remove appThm sym nil 208 ref 542 ref 71 ref 7448 ref 547 ref appTerm 7458 def appTerm 7439 ref appTerm 7459 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7459 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7458 ref nil cons 7460 def cons 7441 ref cons nil cons cons 7461 def 126 ref subst 7461 remove 194 ref subst 7458 ref betaConv 7458 remove assume eqMp nil 110 ref 7051 ref cons 7441 remove cons nil cons cons 7462 def 175 ref subst proveHyp 7462 ref 126 ref subst 7462 remove 194 ref subst 7438 ref 547 ref appTerm betaConv sym 7044 remove sym 7456 ref 7081 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 7086 ref 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7438 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 7051 remove cons 153 ref 7440 remove cons nil cons 7463 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7460 remove cons 7463 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7448 ref 1893 ref appTerm appTerm 7439 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7449 remove appTerm 7439 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7448 remove nil cons cons 7463 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp eqMp eqMp nil 7050 remove 7463 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7445 remove cons 7463 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7436 ref 1893 ref appTerm appTerm 7439 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7437 remove appTerm 7439 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7436 remove nil cons cons 7463 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 7379 ref 153 ref 7429 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 7464 def nil 110 ref 99 ref 7426 remove appTerm 7465 def nil cons cons 111 ref 7427 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7428 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7418 ref appTerm nil cons cons 111 ref 7419 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7418 remove nil cons cons 7092 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7416 ref appTerm nil cons cons 111 ref 7417 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7416 remove nil cons cons 7094 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 7415 remove 6852 remove 7010 ref appTerm appTerm appTerm 725 ref 542 ref 909 ref absTerm 7466 def appTerm 7467 def appTerm nil cons cons 7392 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 216 ref 7366 ref 7118 ref assume 7468 def appThm 7116 ref trans appThm 7366 remove 7414 remove assume appThm 7116 ref trans appThm 528 ref trans appThm 7467 ref refl appThm nil 139 ref 7467 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7393 remove appThm sym nil 208 ref 542 ref 71 ref 7466 ref 547 ref appTerm 7469 def appTerm 7390 ref appTerm 7470 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7470 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7469 ref nil cons 7471 def cons 7392 ref cons nil cons cons 7472 def 126 ref subst 7472 remove 194 ref subst 7469 ref betaConv 7469 remove assume eqMp nil 110 ref 7002 ref cons 7392 remove cons nil cons cons 7473 def 175 ref subst proveHyp 7473 ref 126 ref subst 7473 remove 194 ref subst 7389 ref 547 ref appTerm betaConv sym 6970 remove sym 6979 remove sym 6988 remove sym 7358 ref 7113 ref 7413 ref 7095 ref appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 7169 ref 7094 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 7173 ref 7092 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 7177 ref 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7389 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 7002 remove cons 153 ref 7391 remove cons nil cons 7474 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7471 remove cons 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7466 ref 1893 ref appTerm appTerm 7390 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7467 remove appTerm 7390 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7466 remove nil cons cons 7474 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 7001 remove 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7408 remove cons 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 2769 ref 1893 ref appTerm appTerm 7390 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 2770 remove appTerm 7390 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2769 remove nil cons cons 7474 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 6996 remove 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7400 remove cons 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7314 ref 1893 ref appTerm appTerm 7390 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7315 remove appTerm 7390 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7314 remove nil cons cons 7474 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 6822 remove 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 7375 remove 7474 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7376 remove 7390 ref appTerm absTerm appTerm nil cons cons 111 ref 7377 remove 7390 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7378 remove 7474 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 7379 ref 153 ref 7387 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7386 remove appTerm thm 7464 remove nil 7465 remove thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 7294 remove 725 ref 542 ref 969 remove absTerm appTerm 7475 def appTerm 7476 def absTerm 7477 def appTerm 7478 def absTerm 7479 def appTerm 7480 def absTerm 7481 def nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 7480 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7479 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7478 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7477 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7476 remove nil cons cons nil cons nil cons cons 146 ref subst 7304 remove 7475 ref refl appThm sym nil 7307 remove 111 ref 7475 remove nil cons 7482 def cons nil cons cons nil cons cons 7483 def 126 ref subst 7483 remove 194 ref subst 7311 remove 7312 remove 997 remove 542 ref 991 ref absThm appThm sym 26 ref 7313 remove 725 ref 542 ref 7238 ref absTerm appTerm appTerm absTerm 7484 def 39 ref appTerm 7485 def betaConv 2798 ref 861 ref appTerm 7486 def betaConv 2794 ref nil 110 ref 2799 remove nil cons cons 7487 def 111 ref 7486 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 2798 ref nil cons cons 7488 def 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7484 ref appTerm nil cons cons 111 ref 7485 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7484 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7326 remove 725 ref 542 ref 7234 ref absTerm 7489 def appTerm 7490 def appTerm nil cons cons 111 ref 725 ref 542 ref 978 ref absTerm 7491 def appTerm 7492 def nil cons 7493 def cons nil cons 7494 def cons nil cons cons 175 ref subst proveHyp 226 ref 7336 remove 7490 ref refl appThm nil 139 ref 7490 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7492 ref refl 7495 def appThm sym nil 208 ref 863 ref 71 ref 7489 ref 866 ref appTerm 7496 def appTerm 7492 ref appTerm 7497 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 7497 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7496 ref nil cons 7498 def cons 7494 ref cons nil cons cons 7499 def 126 ref subst 7499 remove 194 ref subst 7496 ref betaConv 7496 remove assume eqMp nil 110 ref 7228 remove cons 7494 ref cons nil cons cons 7500 def 175 ref subst proveHyp 7500 ref 126 ref subst 7500 remove 194 ref subst 26 ref 7349 remove 725 ref 542 ref 975 ref absTerm 7501 def appTerm 7502 def appTerm 7503 def absTerm 7504 def 41 ref appTerm 7505 def betaConv 2798 remove 866 ref appTerm 7506 def betaConv 2794 remove nil 7487 remove 111 ref 7506 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7488 remove 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 7504 ref appTerm nil cons cons 111 ref 7505 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7504 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7503 remove nil cons cons 7494 ref cons nil cons cons 175 ref subst proveHyp 29 ref 725 ref 26 ref 6767 remove 7108 remove appTerm absTerm appTerm absTerm 7507 def 861 ref appTerm betaConv sym 26 ref 49 ref 7237 remove 866 ref appTerm appTerm 7110 ref appTerm absTerm 7508 def 39 ref appTerm betaConv sym 216 ref 7252 remove appThm 7509 def 7116 remove appThm 528 ref trans 7510 def sym 145 ref eqMp eqMp 207 ref 208 ref 7508 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7507 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 7507 remove appTerm nil cons cons 7362 remove cons nil cons cons 175 ref subst proveHyp 7363 remove 6615 remove subst eqMp 226 ref 7368 remove 7502 ref refl appThm nil 139 ref 7502 ref nil cons cons nil cons nil cons cons 840 ref subst trans appThm 7495 remove appThm sym nil 208 ref 542 ref 71 ref 7501 ref 547 ref appTerm 7511 def appTerm 7492 ref appTerm 7512 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7512 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7511 ref nil cons 7513 def cons 7494 ref cons nil cons cons 7514 def 126 ref subst 7514 remove 194 ref subst 7511 ref betaConv 7511 remove assume eqMp nil 110 ref 7230 ref cons 7494 remove cons nil cons cons 7515 def 175 ref subst proveHyp 7515 ref 126 ref subst 7515 remove 194 ref subst 7491 ref 547 ref appTerm betaConv sym 7223 remove sym 7509 ref 7260 ref appThm 528 ref trans sym 145 ref eqMp eqMp 207 ref 7265 ref 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 7491 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 7230 remove cons 153 ref 7493 remove cons nil cons 7516 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7513 remove cons 7516 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7501 ref 1893 ref appTerm appTerm 7492 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7502 remove appTerm 7492 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7501 remove nil cons cons 7516 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp eqMp eqMp nil 7229 remove 7516 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7498 remove cons 7516 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 7489 ref 1893 ref appTerm appTerm 7492 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 7490 remove appTerm 7492 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7489 remove nil cons cons 7516 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 7379 remove 153 ref 7482 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7481 remove appTerm thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 36 ref 10 ref 2322 ref appTerm 2369 ref appTerm appTerm 2895 remove 10 ref 2314 ref appTerm 2361 ref appTerm appTerm appTerm 7517 def absTerm 7518 def appTerm 7519 def absTerm 7520 def appTerm 7521 def absTerm 7522 def appTerm 7523 def absTerm 7524 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 7523 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7522 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 7521 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7520 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 7519 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7518 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 7517 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 19 ref 2322 ref refl 7525 def appThm 3035 ref appThm appThm 3033 remove 19 ref 2314 ref refl 7526 def appThm 3034 ref appThm appThm appThm sym 25 ref 3945 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 7524 remove appTerm thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 36 ref 436 ref 2322 ref appTerm 2369 ref appTerm appTerm 4562 remove 436 ref 2314 ref appTerm 2361 ref appTerm appTerm appTerm 7527 def absTerm 7528 def appTerm 7529 def absTerm 7530 def appTerm 7531 def absTerm 7532 def appTerm 7533 def absTerm 7534 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 7533 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7532 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 7531 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7530 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 7529 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7528 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 7527 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 439 ref 7525 ref appThm 3035 ref appThm appThm 4619 remove 439 ref 7526 ref appThm 3034 ref appThm appThm appThm sym 441 ref 3945 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 7534 remove appTerm thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 36 ref 442 ref 2322 ref appTerm 2369 ref appTerm appTerm 49 ref 443 remove 2292 ref appTerm 2344 ref appTerm appTerm 7535 def 442 ref 2314 ref appTerm 2361 ref appTerm appTerm appTerm 7536 def absTerm 7537 def appTerm 7538 def absTerm 7539 def appTerm 7540 def absTerm 7541 def appTerm 7542 def absTerm 7543 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 7542 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7541 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 7540 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7539 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 7538 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7537 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 7536 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 445 ref 7525 ref appThm 3035 ref appThm appThm 7535 remove refl 445 ref 7526 ref appThm 3034 ref appThm appThm appThm sym 447 ref 3945 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 7543 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 4024 ref 83 ref appTerm appTerm 1004 ref appTerm 7544 def absTerm 7545 def appTerm 7546 def absTerm 7547 def appTerm 7548 def absTerm 7549 def appTerm 7550 def absTerm 7551 def appTerm 7552 def absTerm 7553 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7552 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7551 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7550 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7549 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 7548 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7547 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 7546 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7545 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 7544 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4031 ref 3286 ref appThm appThm 1004 remove refl appThm sym 25 ref 3305 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7553 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 4062 ref 83 ref appTerm appTerm 1909 ref appTerm 7554 def absTerm 7555 def appTerm 7556 def absTerm 7557 def appTerm 7558 def absTerm 7559 def appTerm 7560 def absTerm 7561 def appTerm 7562 def absTerm 7563 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7562 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7561 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7560 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7559 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 7558 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7557 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 7556 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7555 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 7554 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4069 ref 3286 ref appThm appThm 1909 remove refl appThm sym 441 ref 3305 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7563 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 71 ref 4070 ref 83 remove appTerm appTerm 1914 ref appTerm 7564 def absTerm 7565 def appTerm 7566 def absTerm 7567 def appTerm 7568 def absTerm 7569 def appTerm 7570 def absTerm 7571 def appTerm 7572 def absTerm 7573 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7572 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7571 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7570 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7569 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 7568 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7567 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 7566 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7565 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 7564 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4077 ref 3286 remove appThm appThm 1914 remove refl appThm sym 447 ref 3305 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7573 remove appTerm thm 6846 remove nil 6847 remove thm 7070 remove nil 7071 remove thm 7249 remove nil 7250 remove thm nil 208 ref 29 ref 65 ref 66 ref 68 ref 227 ref 65 ref 2856 ref 71 ref 49 ref 234 remove appTerm 2914 ref appTerm appTerm 1607 ref "Number.Natural.^" const 455 ref constTerm 301 remove 240 ref appTerm 7574 def appTerm 7575 def 74 ref appTerm 7576 def appTerm "Number.Natural.Bits.fromList" const 1 ref 2860 ref 53 ref cons opType constTerm 7577 def 2870 ref appTerm 7578 def appTerm 7579 def appTerm 7580 def absTerm 7581 def appTerm 7582 def absTerm 7583 def appTerm 7584 def absTerm 7585 def appTerm 7586 def absTerm 7587 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7586 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7585 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 7584 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7583 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 7582 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7581 remove nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 7580 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 266 ref appThm 2914 ref refl appThm appThm 7579 ref refl appThm sym nil 110 ref 49 ref 244 ref appTerm 2914 ref appTerm nil cons 7588 def cons 111 ref 7579 remove nil cons 7589 def cons nil cons cons nil cons cons 7590 def 126 ref subst 7590 remove 194 ref subst nil 151 ref 2155 remove cons 153 ref 2914 ref nil cons 7591 def cons nil cons cons nil cons cons 7592 def 167 ref subst 7592 remove 334 ref subst "Number.Natural.Bits.shiftLeft" const 455 ref constTerm 7593 def refl 7577 ref refl 7594 def 2856 ref 2862 ref 2864 ref 243 ref appTerm 2866 ref appTerm 7595 def appTerm 2915 remove 4554 ref appTerm appTerm absTerm 7596 def 2866 ref appTerm 7597 def betaConv 227 ref 65 ref 7596 ref appTerm 7598 def absTerm 7599 def 233 ref appTerm 7600 def betaConv nil 68 ref 7599 ref appTerm 7601 def axiom nil 110 ref 7601 remove nil cons cons 111 ref 7600 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7599 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7598 remove nil cons cons 111 ref 7597 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7596 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp 7602 def 2912 ref refl nil 139 ref 7591 ref cons nil cons nil cons cons 146 ref subst 2914 ref assume eqMp appThm 4554 ref refl appThm trans appThm nil "b" 3 ref var 7603 def 382 remove cons nil cons nil cons cons 7603 ref 52 ref 7577 ref 2912 ref 7603 remove varTerm 7604 def appTerm 4554 ref appTerm appTerm appTerm "Number.Natural.fromBool" const 1 ref 3 ref 53 remove cons opType constTerm 7605 def 7604 ref appTerm appTerm absTerm 7606 def 7604 ref appTerm 7607 def betaConv nil 343 ref 7606 ref appTerm 7608 def axiom nil 110 ref 7608 remove nil cons cons 111 ref 7607 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 7606 remove nil cons cons 347 ref 7604 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp subst nil 52 ref 7605 ref 131 ref appTerm appTerm 240 ref appTerm axiom trans trans appThm 1180 remove appThm nil 273 remove nil cons cons 271 ref 52 ref 7593 ref 240 ref appTerm 275 ref appTerm appTerm 7575 remove 275 ref appTerm appTerm absTerm 7609 def 275 ref appTerm 7610 def betaConv nil 65 ref 7609 ref appTerm 7611 def axiom nil 110 ref 7611 remove nil cons cons 111 ref 7610 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7609 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp subst trans 36 ref "_31850" 44 ref var 7612 def 1607 ref 7612 remove varTerm appTerm 7578 ref appTerm absTerm 7613 def 7576 ref appTerm 7614 def appTerm refl 7613 ref 7593 ref 7577 ref 7595 remove appTerm 7615 def appTerm 74 ref appTerm 7616 def appTerm betaConv appThm 155 ref 7614 remove betaConv appThm 1607 ref 7616 ref appTerm 7578 ref appTerm 7617 def refl appThm trans 7613 remove refl 52 ref 7616 remove appTerm 7576 remove appTerm assume sym appThm eqMp sym 48 ref 702 ref 243 ref appTerm absTerm 7618 def 240 ref appTerm betaConv sym 244 remove assume eqMp 256 ref 257 ref 7618 ref nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 47 ref 7618 remove appTerm nil cons cons 111 ref 7617 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 272 remove 1918 ref nil cons cons nil cons cons 2856 ref 71 ref 47 ref 48 ref 728 remove absTerm 7619 def appTerm 7620 def appTerm 7621 def 1607 remove 7593 ref 7577 ref 2867 ref appTerm 7622 def appTerm 7623 def 275 ref appTerm appTerm 7578 ref appTerm 7624 def appTerm 7625 def absTerm 7626 def 2866 ref appTerm 7627 def betaConv 29 ref 65 ref 7626 ref appTerm 7628 def absTerm 7629 def 39 ref appTerm 7630 def betaConv 271 ref 99 ref 7629 ref appTerm 7631 def absTerm 7632 def 275 ref appTerm 7633 def betaConv 26 ref 65 ref 7632 ref appTerm 7634 def absTerm 7635 def 41 ref appTerm 7636 def betaConv nil 99 ref 29 ref 65 ref 271 ref 65 ref 48 ref 99 ref 26 ref 65 ref 2856 ref 2023 remove 7624 ref appTerm absTerm 7637 def appTerm 7638 def absTerm 7639 def appTerm 7640 def absTerm 7641 def appTerm 7642 def absTerm 7643 def appTerm 7644 def absTerm 7645 def appTerm 7646 def axiom nil 110 ref 7646 ref nil cons 7647 def cons 7648 def 111 ref 99 ref 7635 ref appTerm nil cons 7649 def cons nil cons cons nil cons cons 7650 def 175 ref subst proveHyp 7650 ref 126 ref subst 7650 remove 194 ref subst nil 208 ref 7635 remove nil cons cons 7651 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7634 remove nil cons 7652 def cons nil cons nil cons cons 146 ref subst nil 257 ref 7632 remove nil cons cons 7653 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 7631 remove nil cons 7654 def cons nil cons nil cons cons 146 ref subst nil 208 ref 7629 remove nil cons cons 7655 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7628 remove nil cons 7656 def cons nil cons nil cons cons 146 ref subst nil 257 ref 7626 remove nil cons cons 7657 def nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 7625 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7620 remove nil cons 7658 def cons 7659 def 111 ref 7624 ref nil cons 7660 def cons nil cons 7661 def cons nil cons cons 7662 def 126 ref subst 7662 remove 194 ref subst nil 7648 ref 7661 ref cons nil cons cons 7663 def 175 ref subst nil 7659 remove 111 ref 71 ref 7646 remove appTerm 7624 remove appTerm 7664 def nil cons 7665 def cons nil cons 7666 def cons nil cons cons 175 ref subst nil 257 ref 48 ref 71 ref 7619 ref 57 ref appTerm 7667 def appTerm 7664 ref appTerm 7668 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7668 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7667 ref nil cons 7669 def cons 7666 ref cons nil cons cons 7670 def 126 ref subst 7670 remove 194 ref subst 7667 ref betaConv 7667 remove assume eqMp nil 2055 ref 7666 remove cons nil cons cons 7671 def 175 ref subst proveHyp 7671 ref 126 ref subst 7671 remove 194 ref subst 7663 ref 126 ref subst 7663 remove 194 ref subst nil 2055 remove 7661 remove cons nil cons cons 175 ref subst 7637 ref 2866 ref appTerm 7672 def betaConv 7639 ref 41 ref appTerm 7673 def betaConv 7641 ref 57 ref appTerm 7674 def betaConv 7643 ref 275 ref appTerm 7675 def betaConv 7645 ref 39 ref appTerm 7676 def betaConv nil 7648 remove 111 ref 7676 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 7645 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7644 remove nil cons cons 111 ref 7675 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7643 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7642 remove nil cons cons 111 ref 7674 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7641 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7640 remove nil cons cons 111 ref 7673 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7639 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7638 remove nil cons cons 111 ref 7672 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7637 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 7647 remove cons 7677 def 153 ref 7660 remove cons nil cons 7678 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 2063 remove 153 ref 7665 remove cons nil cons 7679 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 7669 remove cons 7679 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 7619 ref 797 ref appTerm appTerm 7664 ref appTerm absTerm appTerm nil cons cons 111 ref 7621 remove 7664 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7619 remove nil cons cons 7679 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 7658 remove cons 7678 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7677 remove 153 ref 7649 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 7649 remove cons 111 ref 7636 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7651 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7652 remove cons 111 ref 7633 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 7653 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7654 remove cons 111 ref 7630 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7655 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7656 remove cons 111 ref 7627 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 7657 remove 2925 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 7588 remove cons 153 ref 7589 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 7587 remove appTerm thm nil 178 ref 22 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 71 ref 49 ref 38 ref 1449 ref appTerm 1446 ref appTerm appTerm 38 ref 1457 ref appTerm 1454 ref appTerm appTerm appTerm 38 remove 1466 ref appTerm 1463 ref appTerm appTerm 7680 def absTerm 7681 def appTerm 7682 def absTerm 7683 def appTerm 7684 def absTerm 7685 def appTerm 7686 def absTerm 7687 def appTerm 7688 def absTerm 7689 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 7688 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7687 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 7686 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7685 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 7684 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7683 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 7682 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7681 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 7680 remove nil cons cons nil cons nil cons cons 146 ref subst 1890 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 108 ref 7689 remove appTerm thm 3794 remove nil 3795 remove thm 5535 remove nil 5536 remove thm nil 592 ref 539 ref 99 ref 29 ref 65 ref 48 ref 99 ref 26 ref 4638 remove absTerm 7690 def appTerm 7691 def absTerm 7692 def appTerm 7693 def absTerm 7694 def appTerm 7695 def absTerm 7696 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 7695 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7694 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7693 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 7692 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7691 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7690 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 4639 remove cons nil cons nil cons cons 146 ref subst 5416 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 588 ref 7696 remove appTerm thm nil 178 ref 22 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 36 ref 3219 remove appTerm 3222 remove appTerm 7697 def absTerm 7698 def appTerm 7699 def absTerm 7700 def appTerm 7701 def absTerm 7702 def appTerm 7703 def absTerm 7704 def appTerm 7705 def absTerm 7706 def nil cons cons nil cons nil cons cons 1982 ref subst 22 ref nil 139 ref 7705 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7704 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 7703 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7702 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 7701 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7700 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 7699 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7698 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 7697 remove nil cons cons nil cons nil cons cons 146 ref subst 3945 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 108 ref 7706 remove appTerm thm nil 592 ref 539 ref 71 ref 2173 remove appTerm 2181 remove appTerm 7707 def absTerm 7708 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 7707 remove nil cons cons nil cons nil cons cons 146 ref subst 2766 remove eqMp absThm eqMp nil 588 ref 7708 remove appTerm thm 3306 remove nil 3307 remove thm nil 262 ref 1943 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 2856 ref 71 ref 4014 ref appTerm 7709 def 2862 ref 2864 ref 547 ref appTerm 2866 ref appTerm appTerm 7710 def "Data.Bool.cond" const 7711 def 1 ref 3 ref 1 ref 2860 ref 2911 remove cons opType nil cons cons opType constTerm 7712 def 2913 ref 1944 ref appTerm 2866 ref appTerm 7713 def appTerm 7714 def 2870 remove appTerm 2867 ref appTerm appTerm 7715 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 7716 def absTerm 7717 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 7716 remove nil cons cons nil cons nil cons cons 146 ref subst 624 ref 29 ref 624 ref 26 ref 624 ref 542 ref 155 ref 224 ref 2856 ref 7709 ref refl 7718 def 2856 ref 7715 remove absTerm 7719 def 2866 ref appTerm betaConv 7720 def appThm absThm appThm appThm 7718 remove 224 ref 2856 ref 7720 remove absThm appThm appThm appThm nil 2874 remove 7719 ref nil cons cons 110 ref 4014 remove nil cons cons nil cons cons nil cons cons 2884 remove subst eqMp 226 ref 4017 remove appThm 7721 def 65 ref 7719 remove appTerm 7722 def refl appThm trans absThm appThm absThm appThm absThm appThm sym nil 257 ref 2856 ref 3025 ref 7714 ref 2889 ref appTerm 7723 def 2889 ref appTerm 7724 def appTerm 7725 def absTerm 7726 def nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 7725 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref "_32140" 2860 ref var 7727 def 3025 remove 7727 remove varTerm appTerm absTerm 7728 def 7724 ref appTerm betaConv appThm 216 ref 71 ref 7713 ref appTerm 7729 def refl 7730 def 7728 ref 2889 ref appTerm betaConv 7731 def appThm appThm 71 ref 308 ref 7713 ref appTerm 7732 def appTerm 7733 def refl 7734 def 7731 remove appThm appThm appThm nil "_485" 2860 ref var 2890 ref cons "_482" 2860 ref var 2890 remove cons "_483" 3 ref var 7735 def 7713 ref nil cons 7736 def cons nil cons 7737 def cons cons nil cons cons nil "_484" 2861 ref var 7728 remove nil cons cons nil cons nil cons cons 2892 ref nil 189 ref "_482" 181 ref var varTerm nil cons cons "c" 3 ref var 7738 def 7735 remove varTerm nil cons cons 196 ref "_484" 182 remove var varTerm nil cons cons 413 ref "_485" 181 ref var varTerm nil cons cons nil cons cons cons cons nil cons cons 413 remove 36 ref 197 ref 7711 ref 1 ref 3 ref 1 ref 181 ref 1 ref 181 ref 426 remove cons opType nil cons cons opType nil cons cons opType constTerm 7739 def 7738 ref varTerm 7740 def appTerm 190 ref appTerm 416 ref appTerm appTerm appTerm 49 ref 71 ref 7740 ref appTerm 707 remove appTerm appTerm 71 ref 308 remove 7740 ref appTerm appTerm 197 ref 416 ref appTerm appTerm appTerm appTerm absTerm 7741 def 416 remove appTerm 7742 def betaConv 189 ref 184 ref 7741 ref appTerm 7743 def absTerm 7744 def 190 remove appTerm 7745 def betaConv 7738 remove 184 ref 7744 ref appTerm 7746 def absTerm 7747 def 7740 ref appTerm 7748 def betaConv 196 remove 343 ref 7747 ref appTerm 7749 def absTerm 7750 def 197 remove appTerm 7751 def betaConv nil 1030 remove 7750 ref appTerm 7752 def axiom nil 110 ref 7752 remove nil cons cons 111 ref 7751 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 1032 remove 1033 remove 7750 remove nil cons cons 1035 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7749 remove nil cons cons 111 ref 7748 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 ref 346 ref 7747 remove nil cons cons 347 ref 7740 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7746 remove nil cons cons 111 ref 7745 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7744 remove nil cons cons 428 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7743 remove nil cons cons 111 ref 7742 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7741 remove nil cons cons 429 remove cons nil cons cons 205 ref subst eqMp eqMp subst 7753 def subst subst subst eqMp sym nil 110 ref 7736 ref cons 7754 def 111 ref 3026 ref nil cons 7755 def cons nil cons 7756 def cons nil cons cons 7757 def 126 ref subst 7757 remove 194 ref subst 2889 ref refl 7758 def eqMp nil 151 ref 7736 ref cons 7759 def 153 ref 7755 remove cons nil cons 7760 def cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 7729 ref 3026 ref appTerm nil cons cons 111 ref 7733 ref 3026 remove appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 7732 remove nil cons 7761 def cons 7762 def 7756 remove cons nil cons cons 7763 def 126 ref subst 7763 remove 194 ref subst 7758 remove eqMp nil 151 ref 7761 remove cons 7764 def 7760 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp nil 110 ref 65 ref 7726 remove appTerm 7765 def nil cons cons 111 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 71 ref 49 ref 1947 remove 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm 7766 def appTerm 7767 def 49 ref 1948 remove 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm 7768 def appTerm 7769 def 65 ref 2856 ref 2862 ref 2864 ref 2424 ref appTerm 2866 ref appTerm 7770 def appTerm 7714 ref 2900 ref appTerm 7771 def 2899 ref appTerm 7772 def appTerm absTerm 7773 def appTerm 7774 def appTerm 7775 def appTerm 7776 def appTerm 65 ref 2856 ref 2862 ref 2864 ref 2457 ref appTerm 2866 ref appTerm appTerm 7714 ref 3029 remove appTerm 7777 def 3028 remove appTerm 7778 def appTerm 7779 def absTerm 7780 def appTerm 7781 def appTerm 7782 def absTerm 7783 def appTerm 7784 def absTerm 7785 def appTerm 7786 def absTerm 7787 def appTerm 7788 def absTerm 7789 def appTerm 7790 def absTerm 7791 def appTerm 7792 def absTerm 7793 def appTerm 7794 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 262 ref 7793 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 7792 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7791 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 7790 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7789 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 7788 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7787 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 7786 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 7785 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 7784 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7783 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 7782 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7776 remove nil cons 7795 def cons 111 ref 7781 remove nil cons 7796 def cons nil cons cons nil cons cons 7797 def 126 ref subst 7797 remove 194 ref subst nil 151 ref 7766 remove nil cons 7798 def cons 153 ref 7775 remove nil cons cons nil cons cons nil cons cons 7799 def 167 ref subst 7799 remove 334 ref subst nil 151 ref 7768 remove nil cons cons 153 ref 7774 remove nil cons 7800 def cons nil cons cons nil cons cons 334 ref subst nil 257 ref 7780 remove nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 7779 remove nil cons cons nil cons nil cons cons 146 ref subst 2907 ref nil 4865 remove nil cons cons 2926 remove subst appThm 7714 ref refl 2929 remove appThm 2927 remove appThm appThm sym "y" 2860 ref var 7801 def 49 ref 2862 ref 2912 ref 2913 ref 2446 ref appTerm 2866 ref appTerm 7802 def appTerm 7770 ref appTerm 7803 def appTerm 7804 def 7801 remove varTerm 7805 def appTerm appTerm 2862 ref 7805 remove appTerm 7714 remove 2912 ref 2934 ref appTerm 7806 def 2900 ref appTerm 7807 def appTerm 2912 ref 2941 ref appTerm 7808 def 2899 ref appTerm 7809 def appTerm 7810 def appTerm appTerm absTerm 7811 def 2912 ref 7711 remove 1 ref 3 ref 35 remove nil cons cons opType constTerm 7713 ref appTerm 7812 def 2934 ref appTerm 2941 ref appTerm 7813 def appTerm 7772 ref appTerm 7814 def appTerm betaConv sym 216 ref nil 2930 ref 7772 ref nil cons 7815 def cons 2933 ref 7813 ref nil cons cons 2937 ref 7770 remove nil cons cons 2939 ref 7802 ref nil cons cons nil cons cons cons cons nil cons cons 2972 ref subst 49 ref 36 ref 7802 remove appTerm 7813 ref appTerm 7816 def appTerm refl 2907 ref 7773 ref 2866 ref appTerm 7817 def betaConv nil 110 ref 7800 remove cons 111 ref 7817 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 7773 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp appThm 7772 ref refl appThm nil 2887 ref 7815 remove cons nil cons nil cons cons 2893 ref subst trans appThm nil 139 ref 7816 remove nil cons 7818 def cons nil cons nil cons cons 397 ref subst trans trans appThm 2862 ref 7814 ref appTerm 7810 ref appTerm 7819 def refl appThm sym nil 110 ref 7798 remove cons 111 ref 7818 ref cons nil cons cons nil cons cons 175 ref subst nil 2996 ref 2437 ref 2165 ref 2458 remove cons 7820 def nil cons cons cons nil cons cons 2856 ref 71 ref 4018 remove appTerm 36 ref 2913 ref 2168 ref appTerm 2866 ref appTerm appTerm 7812 remove 3001 remove appTerm 3000 remove appTerm appTerm appTerm absTerm 7821 def 2866 ref appTerm 7822 def betaConv 1001 ref 65 ref 7821 ref appTerm 7823 def absTerm 7824 def 1002 ref appTerm 7825 def betaConv 263 ref 68 ref 7824 ref appTerm 7826 def absTerm 7827 def 627 ref appTerm 7828 def betaConv 1943 ref 68 ref 7827 ref appTerm 7829 def absTerm 7830 def 1944 ref appTerm 7831 def betaConv 2165 ref 68 ref 7830 ref appTerm 7832 def absTerm 7833 def 2168 ref appTerm 7834 def betaConv nil 68 ref 1943 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 7823 ref absTerm 7835 def appTerm 7836 def absTerm 7837 def appTerm 7838 def absTerm 7839 def appTerm 7840 def absTerm 7841 def appTerm 7842 def axiom nil 110 ref 7842 remove nil cons 7843 def cons 7844 def 111 ref 68 ref 7833 ref appTerm nil cons 7845 def cons nil cons cons nil cons cons 7846 def 175 ref subst proveHyp 7846 ref 126 ref subst 7846 remove 194 ref subst nil 262 ref 7833 remove nil cons cons 7847 def nil cons nil cons cons 663 ref subst 2165 ref nil 139 ref 7832 remove nil cons 7848 def cons nil cons nil cons cons 146 ref subst nil 262 ref 7830 remove nil cons cons 7849 def nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 7829 remove nil cons 7850 def cons nil cons nil cons cons 146 ref subst nil 262 ref 7827 remove nil cons cons 7851 def nil cons nil cons cons 663 ref subst 263 ref nil 139 ref 7826 remove nil cons 7852 def cons nil cons nil cons cons 146 ref subst nil 262 ref 7824 remove nil cons cons 7853 def nil cons nil cons cons 663 ref subst 1001 ref nil 139 ref 7823 remove nil cons 7854 def cons nil cons nil cons cons 146 ref subst 7835 ref 2168 ref appTerm 7855 def betaConv 7837 ref 1002 ref appTerm 7856 def betaConv 7839 ref 627 ref appTerm 7857 def betaConv 7841 ref 1944 remove appTerm 7858 def betaConv nil 7844 remove 111 ref 7858 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 7841 remove nil cons cons 1952 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7840 remove nil cons cons 111 ref 7857 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7839 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7838 remove nil cons cons 111 ref 7856 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7837 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7836 remove nil cons cons 111 ref 7855 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7835 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 7843 remove cons 153 ref 7845 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 7845 remove cons 111 ref 7834 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 7847 remove 5973 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7848 remove cons 111 ref 7831 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 7849 remove 1952 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7850 remove cons 111 ref 7828 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 7851 remove 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7852 remove cons 111 ref 7825 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 7853 remove 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7854 remove cons 111 ref 7822 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 7821 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 7818 remove cons 111 ref 7819 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 155 ref "_32146" 3 ref var 7859 def 2862 ref 2912 remove 7859 remove varTerm appTerm 7772 ref appTerm appTerm 7810 ref appTerm absTerm 7860 def 7813 remove appTerm betaConv appThm 216 ref 7730 remove 7860 ref 2934 remove appTerm betaConv appThm appThm 7734 remove 7860 ref 2941 remove appTerm betaConv appThm appThm appThm nil "_485" 3 ref var 2942 remove cons "_482" 3 ref var 2935 remove cons 7737 remove cons cons nil cons cons nil "_484" 34 remove var 7860 remove nil cons cons nil cons nil cons cons 715 remove 7753 remove subst subst subst eqMp sym nil 7754 remove 111 ref 2862 ref 7806 ref 7772 ref appTerm appTerm 7810 ref appTerm 7861 def nil cons 7862 def cons nil cons cons nil cons cons 7863 def 126 ref subst 7863 remove 194 ref subst 36 ref "_32148" 3 ref var 7864 def 2862 ref 7806 ref 7712 ref 7864 remove varTerm appTerm 7865 def 2900 ref appTerm 2899 ref appTerm appTerm appTerm 7865 remove 7807 ref appTerm 7809 ref appTerm appTerm absTerm 7866 def 7713 ref appTerm 7867 def appTerm refl 7866 ref 131 ref appTerm betaConv appThm 155 ref 7867 remove betaConv appThm 2862 ref 7806 ref 7712 ref 131 ref appTerm 7868 def 2900 ref appTerm 2899 ref appTerm appTerm appTerm 7868 remove 7807 ref appTerm 7809 ref appTerm appTerm refl appThm trans 7866 remove refl nil 139 ref 7736 remove cons nil cons nil cons cons 146 ref subst 7713 ref assume eqMp appThm eqMp sym 2907 ref 7806 remove refl nil 2930 ref 2938 remove cons 2937 ref 2931 remove cons nil cons cons nil cons cons 7869 def 2892 ref "t2" 181 ref var 7870 def 407 ref 7739 ref 131 remove appTerm "t1" 181 remove var 7871 def varTerm 7872 def appTerm 7870 ref varTerm 7873 def appTerm appTerm 7872 ref appTerm absTerm 7874 def 7873 ref appTerm 7875 def betaConv 7871 ref 184 ref 7874 ref appTerm 7876 def absTerm 7877 def 7872 ref appTerm 7878 def betaConv nil 184 ref 7877 ref appTerm 7879 def axiom nil 110 ref 7879 remove nil cons cons 111 ref 7878 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7877 remove nil cons cons 189 ref 7872 ref nil cons cons nil cons 7880 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7876 remove nil cons cons 111 ref 7875 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7874 remove nil cons cons 189 remove 7873 ref nil cons cons nil cons 7881 def cons nil cons cons 205 ref subst eqMp eqMp subst 7882 def subst appThm appThm nil 2930 ref 7809 ref nil cons 7883 def cons 2937 ref 7807 ref nil cons 7884 def cons nil cons cons nil cons cons 7885 def 7882 remove subst appThm nil 2887 ref 7884 remove cons nil cons nil cons cons 2893 ref subst trans sym 145 ref eqMp eqMp eqMp nil 7759 ref 153 ref 7862 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 7729 remove 7861 remove appTerm nil cons cons 111 ref 7733 remove 2862 ref 7808 ref 7772 ref appTerm appTerm 7810 ref appTerm 7886 def appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 7762 ref 111 ref 7886 remove nil cons 7887 def cons nil cons cons nil cons cons 7888 def 126 ref subst 7888 remove 194 ref subst 36 ref "_32150" 3 ref var 7889 def 2862 ref 7808 ref 7712 ref 7889 remove varTerm appTerm 7890 def 2900 ref appTerm 2899 ref appTerm appTerm appTerm 7890 remove 7807 ref appTerm 7809 ref appTerm appTerm absTerm 7891 def 7713 ref appTerm 7892 def appTerm refl 7891 ref 315 ref appTerm betaConv appThm 155 ref 7892 remove betaConv appThm 2862 ref 7808 ref 7712 remove 315 ref appTerm 7893 def 2900 remove appTerm 2899 remove appTerm appTerm appTerm 7893 remove 7807 remove appTerm 7809 remove appTerm appTerm refl appThm trans 7891 remove refl nil 7762 remove 111 ref 36 ref 7713 remove appTerm 315 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst nil 7759 remove nil cons nil cons cons 349 remove subst eqMp appThm eqMp sym 2907 ref 7808 remove refl 7869 remove 2892 ref 7870 remove 407 remove 7739 remove 315 remove appTerm 7872 ref appTerm 7873 ref appTerm appTerm 7873 ref appTerm absTerm 7894 def 7873 remove appTerm 7895 def betaConv 7871 remove 184 ref 7894 ref appTerm 7896 def absTerm 7897 def 7872 remove appTerm 7898 def betaConv nil 184 remove 7897 ref appTerm 7899 def axiom nil 110 ref 7899 remove nil cons cons 111 ref 7898 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 ref 185 ref 7897 remove nil cons cons 7880 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7896 remove nil cons cons 111 ref 7895 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 427 remove 185 remove 7894 remove nil cons cons 7881 remove cons nil cons cons 205 ref subst eqMp eqMp subst 7900 def subst appThm appThm 7885 remove 7900 remove subst appThm nil 2887 ref 7883 remove cons nil cons nil cons cons 2893 ref subst trans sym 145 ref eqMp eqMp eqMp nil 7764 remove 153 ref 7887 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp 2891 remove "P" 2861 ref var 7811 ref nil cons cons 2887 ref 7814 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp nil 110 ref 43 remove 1 ref 2861 remove 4 ref cons opType constTerm 7811 remove appTerm nil cons cons 111 ref 7804 remove 7810 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil "z" 2860 remove var 7810 remove nil cons cons 2887 ref 7803 remove nil cons cons nil cons cons nil cons cons 2892 remove 6112 remove subst subst eqMp eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 7795 remove cons 153 ref 7796 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 7765 remove appTerm 7794 remove appTerm nil cons cons 111 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 4023 remove appTerm 7901 def 7722 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 29 ref 26 ref 542 ref 7722 remove absTerm 7902 def absTerm 7903 def absTerm 7904 def 20 ref appTerm betaConv 21 ref appThm 26 ref 542 ref 65 ref 2856 ref 7710 ref 7723 remove 2867 ref appTerm appTerm absTerm appTerm absTerm absTerm 20 ref appTerm betaConv trans 21 ref appThm 542 ref 65 ref 2856 ref 7710 ref 7724 remove appTerm absTerm appTerm absTerm 20 ref appTerm betaConv trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 225 ref 2445 ref 624 ref 2423 ref 226 ref 7767 ref refl 7905 def 7769 remove refl 7904 ref 2314 ref appTerm betaConv 3034 ref appThm 26 ref 542 ref 65 ref 2856 ref 7710 ref 7771 remove 2867 ref appTerm appTerm absTerm appTerm absTerm absTerm 2361 ref appTerm betaConv trans 2424 ref refl 7906 def appThm 542 ref 65 ref 2856 ref 7710 ref 7772 remove appTerm absTerm appTerm absTerm 2424 ref appTerm betaConv trans appThm appThm appThm 7904 ref 2322 ref appTerm betaConv 3035 ref appThm 26 ref 542 ref 65 ref 2856 ref 7710 ref 7777 remove 2867 remove appTerm appTerm absTerm appTerm absTerm absTerm 2369 ref appTerm betaConv trans 2457 ref refl 7907 def appThm 542 ref 65 ref 2856 ref 7710 remove 7778 remove appTerm absTerm appTerm absTerm 2457 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 624 ref 29 ref 624 ref 26 ref 624 ref 542 ref 7901 remove refl 7904 ref 39 ref appTerm betaConv 998 ref appThm 7903 remove 41 ref appTerm betaConv trans 2163 ref appThm 7902 remove 547 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm appThm nil "p" 529 remove var 7908 def 7904 remove nil cons cons 1956 ref cons nil cons cons nil 110 ref 49 ref 7908 ref varTerm 7909 def 20 ref appTerm 20 ref appTerm 20 ref appTerm 7910 def appTerm 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 71 ref 4842 remove 49 ref 2429 ref appTerm 7909 ref 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm 7911 def appTerm appTerm 7912 def appTerm 7909 ref 2322 ref appTerm 7913 def 2369 ref appTerm 7914 def 2457 ref appTerm 7915 def appTerm absTerm 7916 def appTerm 7917 def absTerm 7918 def appTerm 7919 def absTerm 7920 def appTerm 7921 def absTerm 7922 def appTerm 7923 def absTerm 7924 def appTerm 7925 def absTerm 7926 def appTerm 7927 def appTerm 7928 def nil cons 7929 def cons 111 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 5006 remove 7909 ref 39 ref appTerm 41 ref appTerm 547 ref appTerm 7930 def appTerm 7931 def absTerm 7932 def appTerm 7933 def absTerm 7934 def appTerm 7935 def absTerm 7936 def appTerm 7937 def nil cons 7938 def cons nil cons cons nil cons cons 7939 def 126 ref subst 7939 remove 194 ref subst nil 151 ref 7910 ref nil cons 7940 def cons 153 ref 7927 remove nil cons 7941 def cons nil cons cons nil cons cons 7942 def 167 ref subst 7942 remove 334 ref subst nil 208 ref 7936 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7935 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7934 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7933 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7932 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7931 ref nil cons 7943 def cons nil cons nil cons cons 146 ref subst nil 110 ref 5809 ref cons 111 ref 7930 ref nil cons 7944 def cons nil cons 7945 def cons nil cons cons 7946 def 126 ref subst 7946 ref 194 ref subst 4699 ref nil 5820 remove 7945 ref cons nil cons cons 175 ref subst proveHyp 5823 remove 7930 ref refl 7947 def appThm 155 ref 226 ref 215 ref 48 ref 4687 ref absThm appThm appThm 7947 ref appThm appThm 224 ref 48 ref 226 ref 4687 remove appThm 7947 ref appThm absThm appThm appThm nil 1024 ref 4691 remove cons 7945 ref cons nil cons cons 1037 ref subst eqMp trans sym nil 257 ref 48 ref 71 ref 4659 ref appTerm 7930 ref appTerm 7948 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7948 remove nil cons cons nil cons nil cons cons 146 ref subst nil 5828 ref 7945 ref cons nil cons cons 7949 def 126 ref subst 7949 remove 194 ref subst 7946 remove 175 ref subst nil 5828 ref 111 ref 7943 remove cons nil cons cons nil cons cons 175 ref subst nil 1340 ref 7944 ref cons 7950 def 111 ref 5809 ref cons 7951 def 5828 remove nil cons cons cons nil cons cons 3124 ref subst 226 ref nil 3125 ref 5809 ref cons 7952 def 3126 ref 5830 remove cons 3128 remove cons cons nil cons cons 3149 ref subst 4627 remove nil 7952 remove 3126 ref 4681 remove cons 3127 ref 1107 remove cons nil cons cons cons nil cons cons 3149 remove subst appThm trans appThm 7947 ref appThm trans sym 542 ref 71 ref 59 ref 63 ref 551 ref 548 ref appTerm appTerm appTerm appTerm 7930 ref appTerm absTerm 7953 def 547 ref appTerm 7954 def betaConv 7955 def 26 ref 99 ref 7953 ref appTerm 7956 def absTerm 7957 def 41 ref appTerm 7958 def betaConv 7959 def 29 ref 99 ref 7957 ref appTerm 7960 def absTerm 7961 def 39 ref appTerm 7962 def betaConv 7963 def 48 ref 99 ref 7961 ref appTerm 7964 def absTerm 7965 def 57 ref appTerm 7966 def betaConv 7967 def nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 2218 ref 3161 remove 49 ref 549 ref 220 ref appTerm appTerm 548 ref appTerm appTerm appTerm appTerm 7930 ref appTerm 7968 def absTerm 7969 def appTerm 7970 def absTerm 7971 def appTerm 7972 def absTerm 7973 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7972 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7971 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7970 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7969 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7968 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 3166 ref 3167 remove 216 ref 6729 ref 1051 remove subst appThm 548 ref refl appThm appThm appThm appThm 7947 remove appThm sym nil 110 ref 3168 ref 3169 remove 49 ref 1311 ref 20 ref appTerm 7974 def appTerm 548 ref appTerm 7975 def appTerm 7976 def appTerm nil cons 7977 def cons 7945 remove cons nil cons cons 7978 def 126 ref subst 7978 remove 194 ref subst nil 1064 ref 153 ref 7976 remove nil cons cons nil cons cons nil cons cons 7979 def 167 ref subst 7979 remove 334 ref subst nil 2270 ref 153 ref 7975 remove nil cons cons nil cons cons nil cons cons 7980 def 167 ref subst 7980 remove 334 ref subst nil 151 ref 7974 ref nil cons cons 153 ref 5809 remove cons nil cons 7981 def cons nil cons cons 167 ref subst 7909 ref refl 1063 ref appThm 2269 ref appThm 7974 remove assume appThm nil 139 ref 7940 remove cons nil cons nil cons cons 146 ref subst 7910 remove assume eqMp trans sym 145 ref eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 7977 remove cons 153 ref 7944 remove cons nil cons 7982 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 7973 remove appTerm 7983 def nil cons cons 111 ref 65 ref 48 ref 71 ref 7964 ref appTerm 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 2272 remove 3176 remove 49 ref 549 remove 309 ref appTerm 7984 def appTerm 548 ref appTerm 7985 def appTerm 7986 def appTerm appTerm 7930 remove appTerm 7987 def absTerm 7988 def appTerm 7989 def absTerm 7990 def appTerm 7991 def absTerm 7992 def appTerm 7993 def appTerm 7994 def absTerm 7995 def appTerm 7996 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 7995 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 7994 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 7964 remove nil cons 7997 def cons 7998 def 111 ref 7993 remove nil cons 7999 def cons nil cons cons nil cons cons 8000 def 126 ref subst 8000 remove 194 ref subst nil 208 ref 7992 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 7991 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7990 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 7989 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 7988 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7987 remove nil cons cons nil cons nil cons cons 146 ref subst nil 7950 ref 111 ref 7986 remove nil cons cons 2288 remove cons cons nil cons cons 2249 ref subst 1095 remove nil 7950 ref 111 ref 7985 remove nil cons cons 3190 remove cons cons nil cons cons 2249 ref subst 2290 remove nil 7950 remove 7951 ref 110 ref 7984 remove nil cons cons nil cons cons cons nil cons cons 2249 ref subst 226 ref 6729 remove 1094 ref subst appThm 7931 ref refl appThm trans appThm trans appThm trans sym nil 262 ref 2291 ref 2294 remove 2299 ref 71 ref 1000 ref 227 ref 725 ref 26 ref 49 ref 1311 ref 1080 ref appTerm appTerm 62 ref appTerm absTerm appTerm absTerm 8001 def appTerm appTerm 8002 def 7931 remove appTerm appTerm 8003 def appTerm 8004 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8004 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2303 remove 111 ref 8003 ref nil cons 8005 def cons nil cons 8006 def cons nil cons cons 8007 def 126 ref subst 8007 remove 194 ref subst 2307 remove nil 2312 remove 8006 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2313 ref 2316 remove 8003 ref appTerm 8008 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8008 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2319 remove 8006 ref cons nil cons cons 8009 def 126 ref subst 8009 remove 194 ref subst 2321 remove nil 2328 remove 8006 remove cons nil cons cons 8010 def 175 ref subst proveHyp 8010 ref 126 ref subst 8010 remove 194 ref subst 2332 remove 2333 remove 36 ref "_32048" 2 ref var 8011 def 2299 ref 8002 ref 71 ref 545 ref 8011 remove varTerm 8012 def appTerm 41 ref appTerm 547 ref appTerm appTerm 7909 remove 8012 remove appTerm 41 ref appTerm 547 ref appTerm appTerm appTerm appTerm absTerm 8013 def 39 ref appTerm 8014 def appTerm refl 8013 ref 2322 ref appTerm betaConv appThm 155 ref 8014 remove betaConv appThm 2299 remove 8002 ref 5002 remove 7913 ref 41 ref appTerm 547 ref appTerm appTerm appTerm 8015 def appTerm 8016 def refl appThm trans 8013 remove refl 2342 remove appThm eqMp sym nil 262 ref 2343 ref 2346 remove 8015 ref appTerm 8017 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8017 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2349 remove 111 ref 8015 ref nil cons 8018 def cons nil cons 8019 def cons nil cons cons 8020 def 126 ref subst 8020 remove 194 ref subst 2353 remove nil 2359 remove 8019 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2360 ref 2363 remove 8015 ref appTerm 8021 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8021 remove nil cons cons nil cons nil cons cons 146 ref subst nil 2366 remove 8019 ref cons nil cons cons 8022 def 126 ref subst 8022 remove 194 ref subst 2368 remove nil 2376 remove 8019 remove cons nil cons cons 8023 def 175 ref subst proveHyp 8023 ref 126 ref subst 8023 remove 194 ref subst 2382 remove 2383 remove 36 ref "_32056" 2 ref var 8024 def 8002 ref 71 ref 2337 ref 8024 remove varTerm 8025 def appTerm 547 ref appTerm appTerm 7913 remove 8025 remove appTerm 547 ref appTerm appTerm appTerm absTerm 8026 def 41 ref appTerm 8027 def appTerm refl 8026 ref 2369 ref appTerm betaConv appThm 155 ref 8027 remove betaConv appThm 8002 remove 4997 remove 7914 ref 547 ref appTerm appTerm 8028 def appTerm 8029 def refl appThm trans 8026 remove refl 2392 ref appThm eqMp sym nil 262 ref 2445 ref 71 ref 8001 ref 2446 ref appTerm 8030 def appTerm 8028 ref appTerm 8031 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8031 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8030 ref nil cons 8032 def cons 111 ref 8028 ref nil cons 8033 def cons nil cons 8034 def cons nil cons cons 8035 def 126 ref subst 8035 remove 194 ref subst 8030 ref betaConv 8030 remove assume eqMp nil 110 ref 725 ref 26 ref 49 ref 1311 ref 2456 ref 41 ref appTerm appTerm appTerm 62 remove appTerm absTerm 8036 def appTerm 8037 def nil cons cons 8034 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2423 ref 71 ref 8036 ref 2424 ref appTerm 8038 def appTerm 8028 ref appTerm 8039 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8039 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8038 ref nil cons 8040 def cons 8034 ref cons nil cons cons 8041 def 126 ref subst 8041 remove 194 ref subst 8038 ref betaConv 8038 remove assume eqMp nil 110 ref 49 ref 1311 remove 2457 ref appTerm 8042 def appTerm 5054 ref appTerm nil cons 8043 def cons 8034 remove cons nil cons cons 8044 def 175 ref subst proveHyp 8044 ref 126 ref subst 8044 remove 194 ref subst nil 151 ref 8042 ref nil cons cons 5062 remove cons nil cons cons 8045 def 167 ref subst 8045 remove 334 ref subst 36 ref "_32066" 2 ref var 8046 def 71 ref 2387 remove 8046 remove varTerm 8047 def appTerm appTerm 7914 remove 8047 remove appTerm appTerm absTerm 8048 def 547 ref appTerm 8049 def appTerm refl 8048 ref 2457 ref appTerm betaConv appThm 155 ref 8049 remove betaConv appThm 5019 remove 7915 ref appTerm refl appThm trans 8048 remove refl 8042 remove assume appThm eqMp sym 226 ref 5337 ref appThm 7915 ref refl appThm sym nil 110 ref 4844 ref cons 111 ref 7915 remove nil cons 8050 def cons nil cons 8051 def cons nil cons cons 8052 def 126 ref subst 8052 remove 194 ref subst nil 2745 remove 5307 remove cons nil cons cons 8053 def 167 ref subst 8053 remove 334 ref subst 216 ref 2538 remove appThm 216 ref 2540 ref appThm 7911 ref refl appThm nil 139 ref 7911 remove nil cons 8054 def cons nil cons nil cons cons 527 ref subst 8055 def trans appThm 8055 remove trans sym 2418 remove 3953 remove 216 ref 217 ref 5094 remove appThm 222 ref appThm 2416 remove trans appThm 2540 remove appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp nil 110 ref 2393 remove 3954 remove 49 ref 5054 remove appTerm 2429 remove appTerm appTerm appTerm nil cons cons 111 ref 8054 remove cons nil cons cons nil cons cons 175 ref subst proveHyp nil 5099 remove 3955 remove cons nil cons cons 7955 remove 7959 remove 7963 remove nil 7998 remove 111 ref 7962 remove nil cons cons nil cons cons nil cons cons 175 ref subst 8056 def 207 ref 208 ref 7961 remove nil cons cons 210 ref cons nil cons cons 205 ref subst 8057 def eqMp eqMp nil 110 ref 7960 remove nil cons cons 111 ref 7958 remove nil cons cons nil cons cons nil cons cons 175 ref subst 8058 def proveHyp 207 ref 208 ref 7957 remove nil cons cons 213 ref cons nil cons cons 205 ref subst 8059 def eqMp eqMp nil 110 ref 7956 remove nil cons cons 111 ref 7954 remove nil cons cons nil cons cons nil cons cons 175 ref subst 8060 def proveHyp 207 ref 208 ref 7953 remove nil cons cons 595 ref cons nil cons cons 205 ref subst 8061 def eqMp eqMp subst eqMp eqMp nil 110 ref 7912 remove nil cons cons 8051 remove cons nil cons cons 175 ref subst proveHyp 7916 ref 2424 ref appTerm 8062 def betaConv 7918 ref 2446 ref appTerm 8063 def betaConv 7920 ref 2361 ref appTerm 8064 def betaConv 7922 ref 2344 ref appTerm 8065 def betaConv 7924 ref 2314 ref appTerm 8066 def betaConv 7926 ref 2292 ref appTerm 8067 def betaConv nil 110 ref 7941 remove cons 111 ref 8067 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 7926 remove nil cons cons 2438 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7925 remove nil cons cons 111 ref 8066 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7924 remove nil cons cons 2404 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7923 remove nil cons cons 111 ref 8065 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7922 remove nil cons cons 2441 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7921 remove nil cons cons 111 ref 8064 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7920 remove nil cons cons 2407 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7919 remove nil cons cons 111 ref 8063 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 7918 remove nil cons cons 4866 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 7917 remove nil cons cons 111 ref 8062 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 7916 remove nil cons cons 5100 remove cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 4844 remove cons 153 ref 8050 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 8043 remove cons 153 ref 8033 remove cons nil cons 8068 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8040 remove cons 8068 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8036 ref 39 ref appTerm appTerm 8028 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8037 remove appTerm 8028 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8036 remove nil cons cons 8068 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8032 remove cons 8068 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 8001 ref 627 ref appTerm appTerm 8028 remove appTerm absTerm appTerm nil cons cons 111 ref 8029 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8001 remove nil cons cons 8068 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2747 remove 153 ref 8018 remove cons nil cons 8069 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2749 remove 8069 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 2750 remove 8015 ref appTerm absTerm appTerm nil cons cons 111 ref 2751 remove 8015 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2752 remove 8069 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2753 remove 8069 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 2754 remove 8015 remove appTerm absTerm appTerm nil cons cons 111 ref 8016 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 2755 remove 8069 remove cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2756 remove 153 ref 8005 remove cons nil cons 8070 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 2758 remove 8070 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 2759 remove 8003 ref appTerm absTerm appTerm nil cons cons 111 ref 2760 remove 8003 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2761 remove 8070 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 2762 remove 8070 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 1894 remove 8003 ref appTerm absTerm appTerm nil cons cons 111 ref 1895 remove 8003 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 1896 remove 8070 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 7997 remove cons 153 ref 7999 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 7983 remove appTerm 7996 remove appTerm nil cons cons 111 ref 65 ref 7965 ref appTerm nil cons 8071 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 7965 ref 220 ref appTerm betaConv appThm 224 ref 48 ref 226 ref 7967 ref appThm 7965 ref 309 ref appTerm betaConv appThm absThm appThm appThm appThm 224 ref 48 ref 7967 remove absThm appThm appThm nil 1024 ref 7965 remove nil cons 8072 def cons nil cons nil cons cons 1904 ref subst eqMp eqMp nil 110 ref 8071 remove cons 111 ref 7966 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8072 remove cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 8056 remove proveHyp 8057 remove eqMp eqMp 8058 remove proveHyp 8059 remove eqMp eqMp 8060 remove proveHyp 8061 remove eqMp eqMp eqMp eqMp eqMp eqMp nil 5837 remove 7982 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 5810 remove 7982 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 151 ref 7929 remove cons 153 ref 7938 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 8073 def subst eqMp eqMp eqMp eqMp absThm eqMp nil 68 ref 7717 remove appTerm thm nil 262 ref 1943 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 7709 remove 4661 remove appTerm 8074 def absTerm 8075 def appTerm 8076 def absTerm 8077 def appTerm 8078 def absTerm 8079 def appTerm 8080 def absTerm 8081 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 8080 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8079 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8078 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8077 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8076 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8075 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8074 remove nil cons cons nil cons nil cons cons 146 ref subst 7721 remove 4662 remove appThm sym 1957 ref 4699 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8081 remove appTerm thm nil 592 ref 539 ref 5017 remove absTerm 8082 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 5018 remove cons nil cons nil cons cons 146 ref subst 5016 remove eqMp absThm eqMp nil 588 ref 8082 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 71 ref 4024 remove 3523 ref appTerm appTerm 10 remove 3518 ref appTerm 3521 ref appTerm appTerm 8083 def absTerm 8084 def appTerm 8085 def absTerm 8086 def appTerm 8087 def absTerm 8088 def appTerm 8089 def absTerm 8090 def appTerm 8091 def absTerm 8092 def appTerm 8093 def absTerm 8094 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8093 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8092 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8091 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8090 remove nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8089 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8088 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8087 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8086 remove nil cons cons nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 8085 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8084 remove nil cons cons nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 8083 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4031 remove 3571 ref appThm appThm 19 remove 3518 ref refl 8095 def appThm 3521 ref refl 8096 def appThm appThm sym 25 remove 3864 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8094 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 71 ref 4062 remove 3523 ref appTerm appTerm 436 remove 3518 ref appTerm 3521 ref appTerm appTerm 8097 def absTerm 8098 def appTerm 8099 def absTerm 8100 def appTerm 8101 def absTerm 8102 def appTerm 8103 def absTerm 8104 def appTerm 8105 def absTerm 8106 def appTerm 8107 def absTerm 8108 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8107 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8106 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8105 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8104 remove nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8103 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8102 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8101 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8100 remove nil cons cons nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 8099 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8098 remove nil cons cons nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 8097 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4069 remove 3571 ref appThm appThm 439 remove 8095 ref appThm 8096 ref appThm appThm sym 441 remove 3864 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8108 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 71 ref 4070 remove 3523 remove appTerm appTerm 442 remove 3518 ref appTerm 3521 ref appTerm appTerm 8109 def absTerm 8110 def appTerm 8111 def absTerm 8112 def appTerm 8113 def absTerm 8114 def appTerm 8115 def absTerm 8116 def appTerm 8117 def absTerm 8118 def appTerm 8119 def absTerm 8120 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8119 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8118 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8117 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8116 remove nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8115 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8114 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8113 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8112 remove nil cons cons nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 8111 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8110 remove nil cons cons nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 8109 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 4077 remove 3571 remove appThm appThm 445 remove 8095 ref appThm 8096 ref appThm appThm sym 447 remove 3864 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8120 remove appTerm thm nil 208 ref 29 ref 68 ref 227 ref 99 ref 26 ref 65 ref 271 ref 65 ref 48 ref 71 ref 49 ref 73 remove 275 ref appTerm 233 ref appTerm 8121 def appTerm 236 ref 300 ref 275 ref appTerm 8122 def appTerm 57 ref appTerm 41 ref appTerm 8123 def appTerm 8124 def appTerm 698 ref 309 ref appTerm 1080 ref appTerm 8125 def appTerm 8126 def absTerm 8127 def appTerm 8128 def absTerm 8129 def appTerm 8130 def absTerm 8131 def appTerm 8132 def absTerm 8133 def appTerm 8134 def absTerm 8135 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8134 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8133 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 8132 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8131 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8130 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8129 remove nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8128 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8127 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8126 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8124 remove nil cons 8136 def cons 111 ref 8125 remove nil cons 8137 def cons nil cons cons nil cons cons 8138 def 126 ref subst 8138 remove 194 ref subst nil 151 ref 8121 ref nil cons 8139 def cons 153 ref 8123 ref nil cons 8140 def cons nil cons cons nil cons cons 8141 def 167 ref subst 8141 remove 334 ref subst 698 ref refl 8142 def 4831 remove 1231 ref subst appThm 1080 ref refl 8143 def appThm sym 8142 remove nil 270 remove 4830 remove cons nil cons cons 1247 ref subst appThm 8143 remove appThm sym 216 ref nil 4527 remove nil cons cons 2005 ref subst nil 139 ref 8139 remove cons nil cons nil cons cons 146 ref subst 8121 remove assume eqMp trans appThm 236 ref refl 4541 remove appThm 222 ref appThm 998 remove appThm nil 139 ref 8140 remove cons nil cons nil cons cons 146 ref subst 8123 remove assume eqMp trans appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 698 ref 240 ref appTerm 243 remove appTerm appTerm 236 ref 1799 ref 240 ref appTerm appTerm 57 ref appTerm 41 ref appTerm appTerm nil cons cons 111 ref 698 ref 4137 remove appTerm 1080 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 4655 remove 1918 remove 4196 remove cons cons nil cons cons 542 ref 71 ref 49 ref 698 ref 496 ref appTerm 41 ref appTerm appTerm 236 remove 1799 remove 496 ref appTerm appTerm 57 ref appTerm 547 ref appTerm appTerm appTerm 698 remove 498 remove appTerm 4119 remove 547 ref appTerm appTerm appTerm 8144 def absTerm 8145 def 547 ref appTerm 8146 def betaConv 26 ref 99 ref 8145 ref appTerm 8147 def absTerm 8148 def 41 ref appTerm 8149 def betaConv 48 ref 99 ref 8148 ref appTerm 8150 def absTerm 8151 def 57 ref appTerm 8152 def betaConv 493 ref 65 ref 8151 ref appTerm 8153 def absTerm 8154 def 496 ref appTerm 8155 def betaConv 271 ref 65 ref 8154 ref appTerm 8156 def absTerm 8157 def 275 ref appTerm 8158 def betaConv 29 ref 65 ref 8157 ref appTerm 8159 def absTerm 8160 def 39 ref appTerm 8161 def betaConv nil 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 493 ref 65 ref 48 ref 8144 ref absTerm 8162 def appTerm 8163 def absTerm 8164 def appTerm 8165 def absTerm 8166 def appTerm 8167 def absTerm 8168 def appTerm 8169 def absTerm 8170 def appTerm 8171 def absTerm 8172 def appTerm 8173 def axiom nil 110 ref 8173 remove nil cons 8174 def cons 8175 def 111 ref 99 ref 8160 ref appTerm nil cons 8176 def cons nil cons cons nil cons cons 8177 def 175 ref subst proveHyp 8177 ref 126 ref subst 8177 remove 194 ref subst nil 208 ref 8160 remove nil cons cons 8178 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8159 remove nil cons 8179 def cons nil cons nil cons cons 146 ref subst nil 257 ref 8157 remove nil cons cons 8180 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8156 remove nil cons 8181 def cons nil cons nil cons cons 146 ref subst nil 257 ref 8154 remove nil cons cons 8182 def nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 8153 remove nil cons 8183 def cons nil cons nil cons cons 146 ref subst nil 257 ref 8151 remove nil cons cons 8184 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8150 remove nil cons 8185 def cons nil cons nil cons cons 146 ref subst nil 208 ref 8148 remove nil cons cons 8186 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8147 remove nil cons 8187 def cons nil cons nil cons cons 146 ref subst nil 208 ref 8145 remove nil cons cons 8188 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8144 remove nil cons cons nil cons nil cons cons 146 ref subst 8162 ref 57 ref appTerm 8189 def betaConv 8164 ref 496 ref appTerm 8190 def betaConv 8166 ref 275 ref appTerm 8191 def betaConv 8168 ref 547 ref appTerm 8192 def betaConv 8170 ref 41 ref appTerm 8193 def betaConv 8172 ref 39 ref appTerm 8194 def betaConv nil 8175 remove 111 ref 8194 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 8172 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8171 remove nil cons cons 111 ref 8193 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8170 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8169 remove nil cons cons 111 ref 8192 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8168 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8167 remove nil cons cons 111 ref 8191 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8166 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8165 remove nil cons cons 111 ref 8190 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8164 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8163 remove nil cons cons 111 ref 8189 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8162 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 8174 remove cons 153 ref 8176 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 8176 remove cons 111 ref 8161 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8178 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8179 remove cons 111 ref 8158 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 8180 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8181 remove cons 111 ref 8155 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 8182 remove 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8183 remove cons 111 ref 8152 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 8184 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8185 remove cons 111 ref 8149 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8186 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8187 remove cons 111 ref 8146 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8188 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 8136 remove cons 153 ref 8137 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8135 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 532 ref 1449 ref appTerm 1446 ref appTerm 8195 def 2556 ref appTerm appTerm 532 ref 1457 ref appTerm 1454 ref appTerm 8196 def 2559 ref appTerm appTerm appTerm 532 ref 1466 ref appTerm 1463 ref appTerm 8197 def 2563 ref appTerm appTerm 8198 def absTerm 8199 def appTerm 8200 def absTerm 8201 def appTerm 8202 def absTerm 8203 def appTerm 8204 def absTerm 8205 def appTerm 8206 def absTerm 8207 def appTerm 8208 def absTerm 8209 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8208 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8207 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8206 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8205 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8204 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8203 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8202 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8201 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8200 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8199 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8198 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 538 ref 5908 ref appThm 5909 ref appThm 2556 ref refl 8210 def appThm appThm 538 ref 5910 ref appThm 5911 ref appThm 2559 ref refl 8211 def appThm appThm appThm 538 ref 5912 ref appThm 5913 ref appThm 2563 ref refl 8212 def appThm appThm sym 541 ref 2742 ref subst eqMp 8213 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8209 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 606 ref 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 606 ref 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 606 ref 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8214 def absTerm 8215 def appTerm 8216 def absTerm 8217 def appTerm 8218 def absTerm 8219 def appTerm 8220 def absTerm 8221 def appTerm 8222 def absTerm 8223 def appTerm 8224 def absTerm 8225 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8224 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8223 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8222 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8221 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8220 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8219 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8218 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8217 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8216 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8215 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8214 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 609 ref 5908 ref appThm 5909 ref appThm 8210 ref appThm appThm 609 ref 5910 ref appThm 5911 ref appThm 8211 ref appThm appThm appThm 609 ref 5912 ref appThm 5913 ref appThm 8212 ref appThm appThm sym 611 ref 2742 ref subst eqMp 8226 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8225 remove appTerm thm nil 208 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 615 ref 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 615 ref 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 615 ref 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8227 def absTerm 8228 def appTerm 8229 def absTerm 8230 def appTerm 8231 def absTerm 8232 def appTerm 8233 def absTerm 8234 def appTerm 8235 def absTerm 8236 def appTerm 8237 def absTerm 8238 def nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8237 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8236 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8235 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8234 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8233 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8232 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8231 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8230 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8229 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8228 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8227 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 618 ref 5908 ref appThm 5909 ref appThm 8210 ref appThm appThm 618 ref 5910 ref appThm 5911 ref appThm 8211 ref appThm appThm appThm 618 ref 5912 ref appThm 5913 ref appThm 8212 ref appThm appThm sym 620 ref 2742 ref subst eqMp 8239 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8238 remove appTerm thm nil 257 ref 48 ref 99 ref 29 ref 65 ref 2856 ref 71 ref 65 ref 66 ref 68 ref 69 ref 71 ref 77 ref appTerm 36 ref 2913 ref 76 ref appTerm 8240 def 2866 ref appTerm appTerm 8241 def "Number.Natural.Bits.bit" const 51 remove constTerm 8242 def 57 ref appTerm 8243 def 74 ref appTerm appTerm 8244 def appTerm absTerm appTerm absTerm appTerm 8245 def appTerm 52 ref 7578 ref appTerm 8246 def "Number.Natural.Bits.bound" const 455 ref constTerm 8247 def 57 ref appTerm 8248 def 55 ref appTerm appTerm 8249 def appTerm 8250 def absTerm 8251 def appTerm 8252 def absTerm 8253 def appTerm 8254 def absTerm 8255 def nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8254 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8253 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8252 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8251 remove nil cons cons nil cons nil cons cons 662 ref subst 2856 ref nil 139 ref 8250 ref nil cons 8256 def cons nil cons nil cons cons 146 ref subst 1016 remove nil 110 ref 47 ref 1020 ref appTerm nil cons cons 111 ref 8256 remove cons nil cons 8257 def cons nil cons cons 175 ref subst 155 ref 1022 remove 8250 remove refl 8258 def appThm appThm 224 ref 493 ref 226 ref 1021 remove appThm 8258 remove appThm absThm appThm appThm nil 1024 ref 1020 remove nil cons cons 8257 remove cons nil cons cons 1037 remove subst eqMp 224 ref 493 ref nil 1340 ref 8249 ref nil cons 8259 def cons 111 ref 8245 ref nil cons 8260 def cons 110 ref 3611 remove cons nil cons cons cons nil cons cons 3124 remove subst absThm appThm trans sym nil 257 ref 493 ref 71 ref 3605 remove 8245 ref appTerm appTerm 8249 ref appTerm 8261 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 8261 ref nil cons cons nil cons nil cons cons 146 ref subst 48 ref 8261 remove absTerm 8262 def 57 ref appTerm 8263 def betaConv 29 ref 65 ref 8262 ref appTerm 8264 def absTerm 8265 def 39 ref appTerm 8266 def betaConv 493 ref 99 ref 8265 ref appTerm 8267 def absTerm 8268 def 496 ref appTerm 8269 def betaConv 8270 def nil 208 ref 29 ref 65 ref 48 ref 71 ref 2218 remove 8245 ref appTerm appTerm 8249 ref appTerm 8271 def absTerm 8272 def appTerm 8273 def absTerm 8274 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8273 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8272 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8271 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 3166 remove 8245 ref refl appThm appThm 8249 ref refl appThm sym nil 110 ref 3168 remove 8245 ref appTerm nil cons 8275 def cons 111 ref 8259 ref cons nil cons 8276 def cons nil cons cons 8277 def 126 ref subst 8277 remove 194 ref subst nil 1064 remove 153 ref 8260 remove cons nil cons 8278 def cons nil cons cons 167 ref subst 36 ref "_31852" 2 ref var 8279 def 52 ref 7577 ref 2864 ref 8279 remove varTerm 8280 def appTerm 2866 ref appTerm appTerm appTerm 8248 ref 54 ref 8280 remove appTerm appTerm appTerm absTerm 8281 def 39 ref appTerm 8282 def appTerm refl 8281 ref 20 ref appTerm betaConv appThm 155 ref 8282 remove betaConv appThm 52 ref 7577 ref 2889 remove appTerm appTerm 8248 ref 218 remove appTerm appTerm refl appThm trans 8281 remove refl 1063 remove appThm eqMp sym 217 ref 7594 remove 4558 remove appThm nil 52 ref 7577 ref 4554 remove appTerm appTerm 220 ref appTerm axiom trans appThm 8248 ref refl 8283 def 221 ref appThm 48 ref 52 ref 8248 ref 220 ref appTerm appTerm 220 ref appTerm absTerm 8284 def 57 ref appTerm 8285 def betaConv nil 65 ref 8284 ref appTerm 8286 def axiom nil 110 ref 8286 remove nil cons cons 111 ref 8285 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8284 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp trans appThm 1332 remove trans sym 145 ref eqMp eqMp proveHyp eqMp nil 151 ref 8275 remove cons 153 ref 8259 remove cons nil cons 8287 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 110 ref 99 ref 8274 remove appTerm 8288 def nil cons cons 111 ref 65 ref 493 ref 71 ref 8267 ref appTerm 99 ref 29 ref 65 ref 48 ref 71 ref 49 ref 56 ref 1223 ref appTerm 8289 def appTerm 8245 ref appTerm 8290 def appTerm 8249 remove appTerm 8291 def absTerm 8292 def appTerm 8293 def absTerm 8294 def appTerm 8295 def appTerm 8296 def absTerm 8297 def appTerm 8298 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 257 ref 8297 remove nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 8296 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8267 remove nil cons 8299 def cons 8300 def 111 ref 8295 remove nil cons 8301 def cons nil cons cons nil cons cons 8302 def 126 ref subst 8302 remove 194 ref subst nil 208 ref 8294 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8293 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8292 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8291 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8290 remove nil cons 8303 def cons 8276 remove cons nil cons cons 8304 def 126 ref subst 8304 remove 194 ref subst nil 151 ref 8289 ref nil cons cons 8278 remove cons nil cons cons 8305 def 167 ref subst 8305 remove 334 ref subst 8246 ref refl 8283 remove 8289 remove assume 8306 def appThm nil 271 ref 508 ref cons nil cons nil cons cons 271 ref 52 ref 8248 ref 8122 remove appTerm appTerm "Number.Natural.Bits.cons" const 1 ref 3 ref 454 remove cons opType constTerm 8307 def "Number.Natural.Bits.head" const 45 remove constTerm 57 ref appTerm 8308 def appTerm 8309 def 8247 remove "Number.Natural.Bits.tail" const 238 remove constTerm 57 ref appTerm 8310 def appTerm 8311 def 275 ref appTerm appTerm appTerm absTerm 8312 def 275 ref appTerm 8313 def betaConv 48 ref 65 ref 8312 ref appTerm 8314 def absTerm 8315 def 57 ref appTerm 8316 def betaConv nil 65 ref 8315 ref appTerm 8317 def axiom nil 110 ref 8317 remove nil cons cons 111 ref 8316 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8315 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8314 remove nil cons cons 111 ref 8313 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8312 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp subst trans appThm sym nil 48 ref 508 remove cons nil cons nil cons cons 1094 ref subst 8306 remove eqMp nil 110 ref 1000 ref 227 ref 725 ref 26 ref 1082 remove 3606 remove appTerm 8318 def absTerm 8319 def appTerm 8320 def absTerm 8321 def appTerm 8322 def nil cons cons 111 ref 8246 remove 8309 remove 8311 ref 496 ref appTerm 8323 def appTerm 8324 def appTerm 8325 def nil cons 8326 def cons nil cons 8327 def cons nil cons cons 175 ref subst proveHyp nil 262 ref 227 ref 71 ref 8321 ref 233 ref appTerm 8328 def appTerm 8325 ref appTerm 8329 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 8329 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8328 ref nil cons 8330 def cons 8327 ref cons nil cons cons 8331 def 126 ref subst 8331 remove 194 ref subst 8328 ref betaConv 8328 remove assume eqMp nil 110 ref 8320 ref nil cons cons 8327 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 8319 ref 41 ref appTerm 8332 def appTerm 8325 ref appTerm 8333 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8333 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8332 ref nil cons 8334 def cons 8327 ref cons nil cons cons 8335 def 126 ref subst 8335 remove 194 ref subst 8332 ref betaConv 8332 remove assume eqMp nil 110 ref 8318 remove nil cons 8336 def cons 8327 remove cons nil cons cons 8337 def 175 ref subst proveHyp 8337 ref 126 ref subst 8337 remove 194 ref subst nil 1106 remove 4716 remove cons nil cons cons 8338 def 167 ref subst 8338 remove 334 ref subst 36 ref "_31856" 2 ref var 8339 def 52 ref 7577 ref 2864 ref 8339 remove varTerm appTerm 2866 ref appTerm appTerm appTerm 8324 ref appTerm absTerm 8340 def 39 ref appTerm 8341 def appTerm refl 8340 ref 1080 ref appTerm betaConv appThm 155 ref 8341 remove betaConv appThm 52 ref 7577 ref 2864 ref 1080 ref appTerm 2866 ref appTerm appTerm appTerm 8324 ref appTerm refl appThm trans 8340 remove refl 1117 ref appThm eqMp sym 217 ref 1173 remove 2856 ref 52 ref 7577 remove 2864 ref 1266 remove appTerm 2866 ref appTerm appTerm appTerm 456 ref 7578 remove appTerm 7623 ref 55 ref appTerm appTerm appTerm absTerm 8342 def 2866 ref appTerm 8343 def betaConv 26 ref 65 ref 8342 ref appTerm 8344 def absTerm 8345 def 41 ref appTerm 8346 def betaConv 29 ref 99 ref 8345 ref appTerm 8347 def absTerm 8348 def 39 ref appTerm 8349 def betaConv nil 99 ref 8348 ref appTerm 8350 def axiom nil 110 ref 8350 remove nil cons cons 111 ref 8349 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8348 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8347 remove nil cons cons 111 ref 8346 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8345 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8344 remove nil cons cons 111 ref 8343 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8342 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp subst 1288 ref 2856 ref 52 ref 7615 remove appTerm 7605 ref 2914 ref appTerm 8351 def appTerm absTerm 8352 def 2866 ref appTerm 8353 def betaConv 227 ref 65 ref 8352 ref appTerm 8354 def absTerm 8355 def 233 ref appTerm 8356 def betaConv nil 68 ref 8355 ref appTerm 8357 def axiom nil 110 ref 8357 remove nil cons cons 111 ref 8356 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8355 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8354 remove nil cons cons 111 ref 8353 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8352 remove nil cons cons 2925 ref cons nil cons cons 205 ref subst eqMp eqMp appThm 7623 ref refl 1162 ref appThm appThm trans appThm 8324 ref refl appThm sym 48 ref 71 ref 3607 ref 65 ref 66 ref 68 ref 69 ref 71 ref 3679 ref appTerm 8358 def 8244 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 52 ref 7622 ref appTerm 8359 def 8248 remove 60 ref appTerm appTerm appTerm absTerm 8360 def 8310 ref appTerm 8361 def betaConv 8265 ref 41 ref appTerm 8362 def betaConv nil 8300 ref 111 ref 8362 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 8265 remove nil cons cons 8363 def 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 8360 ref appTerm nil cons cons 111 ref 8361 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8360 remove nil cons cons 258 ref 8310 ref nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 3607 remove 65 ref 66 ref 68 ref 69 ref 8358 ref 8241 ref 8242 remove 8310 remove appTerm 74 ref appTerm 8364 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm 8365 def appTerm 8359 remove 8311 ref 60 ref appTerm 8366 def appTerm 8367 def appTerm 8368 def nil cons cons 111 ref 52 ref 456 ref 8351 remove appTerm 8369 def 7623 remove 240 ref appTerm appTerm appTerm 8324 ref appTerm 8370 def nil cons 8371 def cons nil cons 8372 def cons nil cons cons 175 ref subst proveHyp 216 ref 4734 remove 4708 remove appThm 4732 remove trans appThm 224 ref 66 ref 225 ref 69 ref 8358 ref refl 8241 ref refl 66 ref 36 ref 8364 ref appTerm 8243 ref 1216 ref appTerm 8373 def appTerm 8374 def absTerm 8375 def 74 ref appTerm 8376 def betaConv 48 ref 65 ref 8375 ref appTerm 8377 def absTerm 8378 def 57 ref appTerm 8379 def betaConv 224 ref 48 ref 224 ref 66 ref 8374 remove assume sym 36 ref 8373 ref appTerm 8364 remove appTerm 8380 def assume sym deductAntisym absThm appThm absThm appThm nil 65 ref 48 ref 65 ref 66 ref 8380 remove absTerm appTerm absTerm appTerm axiom eqMp nil 110 ref 65 ref 8378 ref appTerm nil cons cons 111 ref 8379 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8378 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8377 remove nil cons cons 111 ref 8376 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8375 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp appThm appThm absThm appThm absThm appThm appThm nil 139 ref 65 ref 66 ref 68 ref 69 ref 8358 remove 8241 remove 8373 remove appTerm 8381 def appTerm 8382 def absTerm 8383 def appTerm 8384 def absTerm 8385 def appTerm nil cons cons nil cons nil cons cons 527 ref subst trans sym nil 257 ref 8385 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8384 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8383 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8382 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 3679 ref nil cons 8386 def cons 111 ref 8381 remove nil cons 8387 def cons nil cons 8388 def cons nil cons cons 8389 def 126 ref subst 8389 remove 194 ref subst nil 1171 remove 213 ref cons nil cons cons 1296 remove subst nil 139 ref 8386 ref cons nil cons nil cons cons 146 ref subst 3679 remove assume eqMp trans sym 145 ref eqMp nil 110 ref 72 ref 1080 ref appTerm 8390 def 1216 remove appTerm 76 ref appTerm nil cons cons 8388 remove cons nil cons cons 175 ref subst proveHyp nil 1217 remove nil cons nil cons cons 66 ref 71 ref 8390 ref 74 ref appTerm 76 ref appTerm appTerm 8244 ref appTerm 8391 def absTerm 8392 def 74 ref appTerm 8393 def betaConv 69 ref 65 ref 8392 ref appTerm 8394 def absTerm 8395 def 76 ref appTerm 8396 def betaConv 36 ref "_31860" 2 ref var 8397 def 65 ref 66 ref 68 ref 69 ref 71 ref 72 ref 8397 remove varTerm appTerm 74 ref appTerm 76 ref appTerm appTerm 8244 remove appTerm absTerm appTerm absTerm appTerm absTerm 8398 def 39 ref appTerm 8399 def appTerm refl 8398 ref 1080 remove appTerm betaConv appThm 155 ref 8399 remove betaConv appThm 65 ref 66 ref 68 ref 69 ref 8391 ref absTerm 8400 def appTerm 8401 def absTerm 8402 def appTerm 8403 def refl appThm trans 8398 remove refl 1117 remove appThm eqMp 8245 remove assume eqMp nil 110 ref 8403 remove nil cons 8404 def cons 8405 def 111 ref 68 ref 8395 ref appTerm nil cons 8406 def cons nil cons cons nil cons cons 8407 def 175 ref subst proveHyp 8407 ref 126 ref subst 8407 remove 194 ref subst nil 262 ref 8395 remove nil cons cons 8408 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8394 remove nil cons 8409 def cons nil cons nil cons cons 146 ref subst nil 257 ref 8392 remove nil cons cons 8410 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8391 remove nil cons cons nil cons nil cons cons 146 ref subst 8400 ref 76 ref appTerm 8411 def betaConv 8402 ref 74 ref appTerm 8412 def betaConv nil 8405 remove 111 ref 8412 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 8402 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8401 remove nil cons cons 111 ref 8411 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8400 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 8404 remove cons 153 ref 8406 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 8406 remove cons 111 ref 8396 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 8408 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8409 remove cons 111 ref 8393 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 8410 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp 8413 def subst eqMp eqMp nil 151 ref 8386 remove cons 153 ref 8387 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 110 ref 8365 ref nil cons cons 8414 def 111 ref 71 ref 8367 ref appTerm 8370 ref appTerm 8415 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 110 ref 8367 ref nil cons 8416 def cons 8372 remove cons nil cons cons 8417 def 126 ref subst 8417 remove 194 ref subst 36 ref "_31864" 44 ref var 8418 def 52 ref 8369 ref 7593 ref 8418 remove varTerm appTerm 240 ref appTerm appTerm appTerm 8324 ref appTerm absTerm 8419 def 7622 remove appTerm 8420 def appTerm refl 8419 ref 8366 ref appTerm betaConv appThm 155 ref 8420 remove betaConv appThm 52 ref 8369 ref 7593 ref 8366 ref appTerm 240 ref appTerm appTerm appTerm 8324 remove appTerm refl appThm trans 8419 remove refl 8367 remove assume appThm eqMp sym 217 ref 8369 remove refl nil 48 ref 8366 remove nil cons cons nil cons nil cons cons 48 ref 52 ref 7593 remove 57 ref appTerm 240 ref appTerm appTerm "Number.Natural.*" const 455 remove constTerm 7574 remove appTerm 8421 def 57 ref appTerm appTerm absTerm 8422 def 57 ref appTerm 8423 def betaConv nil 65 ref 8422 ref appTerm 8424 def axiom nil 110 ref 8424 remove nil cons cons 111 ref 8423 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8422 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp subst 8421 ref refl 8311 remove refl 4733 remove appThm appThm trans appThm nil 2856 ref 8323 ref nil cons cons "h" 3 remove var 8425 def 7591 remove cons nil cons cons nil cons cons 2856 ref 52 ref 456 remove 7605 remove 8425 ref varTerm 8426 def appTerm appTerm 8421 remove 2866 ref appTerm appTerm 8427 def appTerm 8307 ref 8426 ref appTerm 2866 ref appTerm 8428 def appTerm 8429 def absTerm 8430 def 2866 remove appTerm 8431 def betaConv 8425 ref 65 ref 8430 ref appTerm 8432 def absTerm 8433 def 8426 ref appTerm 8434 def betaConv 2237 remove 8425 ref 224 ref 2856 ref 8429 remove assume sym 52 ref 8428 remove appTerm 8427 remove appTerm 8435 def assume sym deductAntisym absThm appThm absThm appThm nil 343 ref 8425 remove 65 ref 2856 ref 8435 remove absTerm appTerm absTerm appTerm axiom eqMp nil 110 ref 343 remove 8433 ref appTerm nil cons cons 111 ref 8434 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 345 remove 346 remove 8433 remove nil cons cons 347 remove 8426 remove nil cons cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8432 remove nil cons cons 111 ref 8431 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8430 remove nil cons cons 2925 remove cons nil cons cons 205 ref subst eqMp eqMp subst trans appThm 8307 remove refl 8436 def 48 ref 36 ref 8308 ref appTerm 8243 remove 220 ref appTerm 8437 def appTerm 8438 def absTerm 8439 def 57 ref appTerm 8440 def betaConv 224 ref 48 ref 8438 remove assume sym 36 ref 8437 ref appTerm 8308 remove appTerm 8441 def assume sym deductAntisym absThm appThm nil 65 ref 48 ref 8441 remove absTerm appTerm axiom eqMp nil 110 ref 65 ref 8439 ref appTerm nil cons cons 111 ref 8440 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8439 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp appThm 8323 remove refl 8442 def appThm appThm sym 8436 remove nil 1170 ref 264 remove cons 213 ref cons nil cons cons 1330 ref subst 1389 remove trans sym 145 ref eqMp nil 110 ref 8390 remove 220 ref appTerm 233 ref appTerm nil cons cons 111 ref 36 ref 2914 remove appTerm 8437 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1308 remove 1392 remove cons nil cons cons 8413 remove subst eqMp appThm 8442 remove appThm eqMp eqMp eqMp nil 151 ref 8416 ref cons 153 ref 8371 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 49 ref 8365 remove appTerm 8415 remove appTerm nil cons cons 111 ref 71 ref 8368 remove appTerm 8370 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 8371 remove cons 111 ref 8416 remove cons 8414 remove nil cons cons cons nil cons cons 4271 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 8336 remove cons 153 ref 8326 remove cons nil cons 8443 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8334 remove cons 8443 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 8319 ref 1893 ref appTerm appTerm 8325 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8320 remove appTerm 8325 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8319 remove nil cons cons 8443 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8330 remove cons 8443 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 8321 ref 627 ref appTerm appTerm 8325 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8322 remove appTerm 8325 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8321 remove nil cons cons 8443 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 8303 remove cons 8287 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 8299 remove cons 153 ref 8301 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 8288 remove appTerm 8298 remove appTerm nil cons cons 111 ref 65 ref 8268 ref appTerm nil cons 8444 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 8268 ref 220 ref appTerm betaConv appThm 224 ref 493 ref 226 ref 8270 ref appThm 8268 ref 1223 remove appTerm betaConv appThm absThm appThm appThm appThm 224 ref 493 ref 8270 remove absThm appThm appThm nil 1024 remove 8268 remove nil cons 8445 def cons nil cons nil cons cons 1904 remove subst eqMp eqMp nil 110 ref 8444 remove cons 111 ref 8269 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8445 remove cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 8300 remove 111 ref 8266 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8363 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8264 remove nil cons cons 111 ref 8263 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8262 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 8255 remove appTerm thm nil 208 ref 29 ref 65 ref 271 ref 65 ref 48 ref 99 ref 26 ref 65 ref 66 ref 68 ref 227 ref 3787 remove absTerm 8446 def appTerm 8447 def absTerm 8448 def appTerm 8449 def absTerm 8450 def appTerm 8451 def absTerm 8452 def appTerm 8453 def absTerm 8454 def appTerm 8455 def absTerm 8456 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8455 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8454 remove nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 8453 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8452 remove nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8451 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8450 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8449 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8448 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8447 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8446 remove nil cons cons nil cons nil cons cons 663 ref subst 227 ref nil 139 ref 3788 remove cons nil cons nil cons cons 146 ref subst 3786 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8456 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 452 ref 68 ref 453 ref 71 ref 4078 remove 465 ref appTerm appTerm 47 ref 66 ref 462 remove 75 ref 464 ref appTerm 8457 def appTerm absTerm appTerm 8458 def appTerm 8459 def absTerm 8460 def appTerm 8461 def absTerm 8462 def appTerm 8463 def absTerm 8464 def appTerm 8465 def absTerm 8466 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8465 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8464 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8463 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8462 remove nil cons cons nil cons nil cons cons 662 ref subst 452 remove nil 139 ref 8461 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8460 remove nil cons cons nil cons nil cons cons 663 ref subst 453 remove nil 139 ref 8459 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 486 remove appThm 465 ref refl appThm appThm 8458 ref refl appThm sym nil 110 ref 49 ref 479 remove appTerm 465 ref appTerm nil cons 8467 def cons 111 ref 8458 remove nil cons 8468 def cons nil cons 8469 def cons nil cons cons 8470 def 126 ref subst 8470 remove 194 ref subst nil 4096 remove 4211 remove cons nil cons cons 8471 def 167 ref subst 8471 remove 334 ref subst 4095 remove 4094 remove 334 ref subst 227 ref 71 ref 463 remove 233 ref appTerm appTerm 4229 ref appTerm absTerm 8472 def 464 ref appTerm 8473 def betaConv 66 ref 68 ref 227 ref 71 ref 1657 remove appTerm 4234 remove appTerm absTerm appTerm absTerm 8474 def 458 ref appTerm 8475 def betaConv 1988 remove 41 ref appTerm 8476 def betaConv 2067 remove nil 110 ref 2068 remove nil cons cons 111 ref 8476 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 1989 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 8474 ref appTerm nil cons cons 111 ref 8475 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8474 remove nil cons cons 3785 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 68 ref 8472 ref appTerm nil cons cons 111 ref 8473 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8472 remove nil cons cons 4241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 465 remove appTerm 4229 remove appTerm nil cons cons 8469 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref nil 139 ref 4210 remove cons nil cons nil cons cons 146 ref subst 4264 remove eqMp 8477 def appThm nil 4142 remove 512 remove cons nil cons cons 48 ref 1780 ref 47 ref 1618 ref 276 ref 4481 remove 496 ref appTerm appTerm absTerm appTerm appTerm absTerm 8478 def 57 ref appTerm 8479 def betaConv 493 ref 65 ref 8478 ref appTerm 8480 def absTerm 8481 def 496 ref appTerm 8482 def betaConv 224 ref 493 ref 224 remove 48 ref 1780 remove refl 215 ref 1618 ref 276 remove refl nil 4480 remove nil cons nil cons cons 1247 ref subst appThm absThm appThm appThm absThm appThm absThm appThm 4421 remove eqMp nil 110 ref 65 ref 8481 ref appTerm nil cons cons 111 ref 8482 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8481 remove nil cons cons 509 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8480 remove nil cons cons 111 ref 8479 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8478 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp subst 215 ref 1618 ref 61 ref refl 8483 def 4437 remove 3378 ref subst appThm absThm appThm trans appThm nil 139 ref 47 ref 1618 ref 61 ref 300 ref 4436 remove appTerm appTerm absTerm 8484 def appTerm 8485 def nil cons cons nil cons nil cons cons 840 ref subst trans appThm 215 ref 66 ref 216 ref 4131 remove 2191 ref appThm appThm 8457 ref refl 8486 def appThm absThm appThm appThm sym nil 257 ref 66 ref 71 ref 8484 ref 74 ref appTerm 8487 def appTerm 47 ref 66 ref 49 ref 461 remove 60 ref appTerm appTerm 8457 ref appTerm absTerm 8488 def appTerm 8489 def appTerm 8490 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8490 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8487 ref nil cons 8491 def cons 111 ref 8489 ref nil cons 8492 def cons nil cons 8493 def cons nil cons cons 8494 def 126 ref subst 8494 remove 194 ref subst 8487 ref betaConv 8487 remove assume eqMp nil 110 ref 61 ref 300 ref 4176 remove appTerm 8495 def appTerm 8496 def nil cons 8497 def cons 8493 remove cons nil cons cons 8498 def 175 ref subst proveHyp 8498 ref 126 ref subst 8498 remove 194 ref subst 8488 ref 74 ref appTerm betaConv sym 216 ref 4175 ref 8496 remove assume 8499 def nil 4178 remove nil cons cons 1231 remove subst trans 8500 def appThm nil 258 ref 4190 remove nil cons cons nil cons nil cons cons 489 ref subst 8501 def trans appThm 8486 ref appThm nil 139 ref 8457 ref nil cons 8502 def cons nil cons nil cons cons 527 ref subst trans sym 2160 remove nil 110 ref 2075 remove cons 111 ref 8502 ref cons nil cons 8503 def cons nil cons cons 175 ref subst proveHyp 1779 remove 4422 remove subst sym 1618 remove 56 remove 4463 remove appTerm absTerm 8504 def 458 ref appTerm betaConv sym 217 ref 2191 ref 8499 remove trans appThm 4246 remove 48 ref 52 ref 497 remove 309 ref appTerm appTerm 3371 remove appTerm absTerm 8505 def 57 ref appTerm 8506 def betaConv 493 ref 65 ref 8505 ref appTerm 8507 def absTerm 8508 def 496 ref appTerm 8509 def betaConv nil 65 ref 8508 ref appTerm 8510 def axiom nil 110 ref 8510 remove nil cons cons 111 ref 8509 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8508 remove nil cons cons 509 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8507 remove nil cons cons 111 ref 8506 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8505 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp subst appThm nil 258 ref 8495 remove nil cons cons nil cons nil cons cons 489 remove subst trans sym 145 ref eqMp eqMp 256 ref 257 ref 8504 remove nil cons cons 3785 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 2076 ref 111 ref 71 ref 2070 remove appTerm 8457 ref appTerm 8511 def nil cons cons nil cons 8512 def cons nil cons cons 194 ref subst proveHyp nil 262 ref 69 ref 71 ref 2069 ref 76 ref appTerm 8513 def appTerm 8457 ref appTerm 8514 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8514 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8513 ref nil cons 8515 def cons 8503 ref cons nil cons cons 8516 def 126 ref subst 8516 remove 194 ref subst 8513 ref betaConv 8517 def 8513 remove assume eqMp nil 110 ref 667 remove cons 8503 ref cons nil cons cons 8518 def 175 ref subst proveHyp 8518 ref 126 ref subst 8518 remove 194 ref subst 471 ref 464 ref appTerm 8519 def betaConv 473 ref 76 ref appTerm 8520 def betaConv 475 ref 458 remove appTerm 8521 def betaConv 477 ref 74 ref appTerm 8522 def betaConv nil 110 ref 4093 remove cons 111 ref 8522 remove nil cons cons nil cons cons nil cons cons 175 ref subst 256 ref 257 ref 477 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 476 remove nil cons cons 111 ref 8521 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 475 remove nil cons cons 3785 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 474 remove nil cons cons 111 ref 8520 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 473 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 472 remove nil cons cons 111 ref 8519 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 471 remove nil cons cons 4241 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 470 remove nil cons cons 8503 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 216 ref 4175 remove 2191 remove 8500 remove trans appThm 8501 remove trans appThm 834 ref 8477 remove appThm 528 ref trans appThm 528 ref trans appThm 520 remove appThm 522 remove 840 ref subst trans appThm 8486 remove appThm sym nil 110 ref 521 ref cons 8503 remove cons nil cons cons 8523 def 126 ref subst 8523 remove 194 ref subst 36 ref "_31870" 11 ref var 8524 def 75 remove 8524 remove varTerm appTerm absTerm 8525 def 464 remove appTerm 8526 def appTerm refl 8517 remove appThm 155 ref 8526 remove betaConv appThm 77 remove refl appThm trans 8525 remove refl 469 remove assume sym appThm eqMp sym 832 remove eqMp eqMp nil 151 ref 521 remove cons 153 ref 8502 ref cons nil cons 8527 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 668 ref 8527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8515 remove cons 8527 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 2069 remove 627 ref appTerm appTerm 8457 ref appTerm absTerm appTerm nil cons cons 8512 remove cons nil cons cons 175 ref subst proveHyp 261 ref 2158 remove 8527 remove cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 49 ref 1766 remove appTerm 8511 remove appTerm nil cons cons 111 ref 71 ref 2071 remove appTerm 8457 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 8502 remove cons 2078 remove 2076 remove nil cons cons cons nil cons cons 4271 ref subst eqMp eqMp eqMp eqMp 256 ref 257 ref 8488 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 8497 remove cons 153 ref 8492 remove cons nil cons 8528 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8491 remove cons 8528 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 8484 ref 797 ref appTerm appTerm 8489 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8485 remove appTerm 8489 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8484 remove nil cons cons 8528 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 8467 remove cons 153 ref 8468 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8466 remove appTerm thm 3865 remove nil 3866 remove thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 532 ref 2322 ref appTerm 2369 ref appTerm 2457 ref appTerm appTerm 49 ref 536 remove 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm appTerm 8529 def 532 ref 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm appTerm appTerm 8530 def absTerm 8531 def appTerm 8532 def absTerm 8533 def appTerm 8534 def absTerm 8535 def appTerm 8536 def absTerm 8537 def appTerm 8538 def absTerm 8539 def appTerm 8540 def absTerm 8541 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8540 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8539 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8538 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8537 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8536 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8535 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8534 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8533 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8532 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8531 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8530 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 538 ref 7525 ref appThm 3035 ref appThm 7907 ref appThm appThm 8529 remove refl 538 ref 7526 ref appThm 3034 ref appThm 7906 ref appThm appThm appThm sym 541 ref 5337 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8541 remove appTerm thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 606 ref 2322 ref appTerm 2369 ref appTerm 2457 ref appTerm appTerm 49 ref 607 remove 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm appTerm 8542 def 606 ref 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm appTerm appTerm 8543 def absTerm 8544 def appTerm 8545 def absTerm 8546 def appTerm 8547 def absTerm 8548 def appTerm 8549 def absTerm 8550 def appTerm 8551 def absTerm 8552 def appTerm 8553 def absTerm 8554 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8553 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8552 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8551 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8550 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8549 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8548 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8547 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8546 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8545 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8544 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8543 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 609 ref 7525 ref appThm 3035 ref appThm 7907 ref appThm appThm 8542 remove refl 609 ref 7526 ref appThm 3034 ref appThm 7906 ref appThm appThm appThm sym 611 ref 5337 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8554 remove appTerm thm nil 262 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 615 ref 2322 ref appTerm 2369 ref appTerm 2457 ref appTerm appTerm 49 ref 616 remove 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm appTerm 8555 def 615 ref 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm appTerm appTerm 8556 def absTerm 8557 def appTerm 8558 def absTerm 8559 def appTerm 8560 def absTerm 8561 def appTerm 8562 def absTerm 8563 def appTerm 8564 def absTerm 8565 def appTerm 8566 def absTerm 8567 def nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8566 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8565 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8564 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8563 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8562 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8561 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8560 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8559 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8558 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8557 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8556 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 618 ref 7525 ref appThm 3035 ref appThm 7907 ref appThm appThm 8555 remove refl 618 ref 7526 ref appThm 3034 ref appThm 7906 ref appThm appThm appThm sym 620 ref 5337 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8567 remove appTerm thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 6933 remove absTerm 8568 def appTerm 8569 def absTerm 8570 def appTerm 8571 def absTerm 8572 def appTerm 8573 def absTerm 8574 def nil cons cons 8575 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 8573 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8572 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8571 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8570 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8569 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8568 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 6934 remove cons nil cons nil cons cons 146 ref subst 6932 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 8576 def nil 99 ref 8574 ref appTerm 8577 def thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 7179 remove absTerm 8578 def appTerm 8579 def absTerm 8580 def appTerm 8581 def absTerm 8582 def appTerm 8583 def absTerm 8584 def nil cons cons 8585 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 8583 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8582 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8581 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8580 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8579 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8578 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7180 remove cons nil cons nil cons cons 146 ref subst 7178 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 8586 def nil 99 ref 8584 ref appTerm 8587 def thm 7088 ref nil 7089 remove thm nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 7267 remove absTerm 8588 def appTerm 8589 def absTerm 8590 def appTerm 8591 def absTerm 8592 def appTerm 8593 def absTerm 8594 def nil cons cons 8595 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 8593 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8592 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8591 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8590 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8589 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8588 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 7268 remove cons nil cons nil cons cons 146 ref subst 7266 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 8596 def nil 99 ref 8594 ref appTerm 8597 def thm nil 592 ref 539 ref 588 ref "s" 533 remove var 8598 def 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 49 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 562 remove appTerm 8598 ref varTerm 8599 def 76 ref appTerm 81 ref appTerm 556 ref appTerm 8600 def appTerm absTerm 8601 def appTerm 8602 def absTerm 8603 def appTerm 8604 def absTerm 8605 def appTerm 8606 def appTerm 8607 def 548 ref appTerm appTerm 535 remove 8599 ref appTerm 39 ref appTerm 41 ref appTerm 547 ref appTerm appTerm 8608 def absTerm 8609 def appTerm 8610 def absTerm 8611 def appTerm 8612 def absTerm 8613 def appTerm 8614 def absTerm 8615 def appTerm 8616 def absTerm 8617 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 8616 remove nil cons cons nil cons nil cons cons 146 ref subst nil 592 ref 8615 remove nil cons cons nil cons nil cons cons 2815 ref subst 8598 remove nil 139 ref 8614 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8613 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8612 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8611 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8610 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8609 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8608 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 8607 ref refl 596 ref appThm appThm nil 539 ref 8599 remove nil cons cons nil cons nil cons cons 596 remove subst appThm sym nil 110 ref 8607 remove 575 remove appTerm nil cons 8618 def cons 111 ref 47 ref 48 ref 59 remove 63 remove 551 remove 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 560 remove 8600 ref appTerm 8619 def absTerm 8620 def appTerm 8621 def absTerm 8622 def appTerm 8623 def absTerm 8624 def appTerm 8625 def absTerm 8626 def appTerm 8627 def appTerm appTerm appTerm absTerm 8628 def appTerm 8629 def nil cons 8630 def cons nil cons 8631 def cons nil cons cons 8632 def 126 ref subst 8632 remove 194 ref subst nil 151 ref 8606 remove nil cons 8633 def cons 153 ref 4928 remove cons nil cons cons nil cons cons 8634 def 167 ref subst 8634 remove 334 ref subst nil 4932 remove 8631 ref cons nil cons cons 175 ref subst nil 257 ref 48 ref 4664 remove 8629 ref appTerm 8635 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 8635 remove nil cons cons nil cons nil cons cons 146 ref subst nil 4667 remove 8631 ref cons nil cons cons 8636 def 126 ref subst 8636 remove 194 ref subst 4671 remove nil 4673 remove 8631 remove cons nil cons cons 8637 def 175 ref subst proveHyp 8637 ref 126 ref subst 8637 remove 194 ref subst 4676 remove 4677 remove 4679 remove 4680 remove 4685 remove 4936 remove 8628 ref 57 ref appTerm betaConv sym 3098 remove 4688 remove 6724 remove 8627 ref refl appThm nil 139 ref 8627 remove nil cons cons nil cons nil cons cons 527 ref subst 8638 def trans appThm 8638 ref trans appThm 8638 remove trans sym nil 257 ref 8626 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8625 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8624 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8623 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8622 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 8621 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8620 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 8619 remove nil cons cons nil cons nil cons cons 146 ref subst nil 4937 remove 111 ref 8600 remove nil cons 8639 def cons nil cons 8640 def cons nil cons cons 8641 def 126 ref subst 8641 remove 194 ref subst nil 668 ref 153 ref 558 remove nil cons cons nil cons cons nil cons cons 8642 def 167 ref subst 8642 remove 334 ref subst nil 151 ref 5529 remove cons 8643 def 153 ref 557 ref nil cons 8644 def cons nil cons cons nil cons cons 8645 def 167 ref subst 8645 remove 334 ref subst 5242 remove sym 834 remove 216 ref 5531 ref appThm nil 139 ref 8644 remove cons nil cons nil cons cons 146 ref subst 557 remove assume eqMp appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 5228 remove 260 ref cons nil cons cons 724 ref subst proveHyp 5233 remove proveHyp 5246 remove eqMp nil 110 ref 600 remove cons 8640 remove cons nil cons cons 175 ref subst proveHyp 8601 ref 556 ref appTerm 8646 def betaConv 8603 ref 81 ref appTerm 8647 def betaConv 8605 ref 76 ref appTerm 8648 def betaConv nil 110 ref 8633 remove cons 111 ref 8648 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 8605 remove nil cons cons 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8604 remove nil cons cons 111 ref 8647 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8603 remove nil cons cons 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8602 remove nil cons cons 111 ref 8646 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 8601 remove nil cons cons 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 5244 remove 153 ref 8639 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 256 ref 257 ref 8628 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 4693 remove 153 ref 8630 remove cons nil cons 8649 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 4695 remove 8649 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 4696 remove 8629 ref appTerm absTerm appTerm nil cons cons 111 ref 4697 remove 8629 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 4698 remove 8649 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 8618 remove cons 8649 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 588 ref 8617 remove appTerm thm nil 262 ref 1943 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 1945 ref 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 1945 ref 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 1945 ref 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8650 def absTerm 8651 def appTerm 8652 def absTerm 8653 def appTerm 8654 def absTerm 8655 def appTerm 8656 def absTerm 8657 def appTerm 8658 def absTerm 8659 def appTerm 8660 def absTerm 8661 def appTerm 8662 def absTerm 8663 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 8662 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8661 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8660 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8659 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8658 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8657 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8656 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8655 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8654 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8653 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8652 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8651 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8650 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 1953 ref 5908 remove appThm 5909 remove appThm 8210 remove appThm appThm 1953 ref 5910 remove appThm 5911 remove appThm 8211 remove appThm appThm appThm 1953 ref 5912 remove appThm 5913 remove appThm 8212 remove appThm appThm sym 1957 ref 2742 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8663 remove appTerm thm nil 592 ref 539 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 545 ref 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 545 ref 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 545 remove 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8664 def absTerm 8665 def appTerm 8666 def absTerm 8667 def appTerm 8668 def absTerm 8669 def appTerm 8670 def absTerm 8671 def appTerm 8672 def absTerm 8673 def appTerm 8674 def absTerm 8675 def appTerm 8676 def absTerm 8677 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 8676 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8675 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8674 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8673 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8672 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8671 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8670 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8669 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8668 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8667 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8666 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8665 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8664 remove nil cons cons nil cons nil cons cons 146 ref subst 2742 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 588 ref 8677 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 5786 ref 559 ref appTerm appTerm 2171 ref appTerm 8678 def absTerm 8679 def appTerm 8680 def absTerm 8681 def appTerm 8682 def absTerm 8683 def appTerm 8684 def absTerm 8685 def appTerm 8686 def absTerm 8687 def appTerm 8688 def absTerm 8689 def appTerm 8690 def absTerm 8691 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8690 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8689 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8688 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8687 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8686 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8685 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8684 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8683 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8682 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8681 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 8680 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8679 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 8678 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5803 ref 4924 ref appThm appThm 2171 remove refl appThm sym 541 ref 4944 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8691 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 5843 ref 559 ref appTerm appTerm 2781 ref appTerm 8692 def absTerm 8693 def appTerm 8694 def absTerm 8695 def appTerm 8696 def absTerm 8697 def appTerm 8698 def absTerm 8699 def appTerm 8700 def absTerm 8701 def appTerm 8702 def absTerm 8703 def appTerm 8704 def absTerm 8705 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8704 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8703 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8702 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8701 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8700 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8699 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8698 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8697 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8696 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8695 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 8694 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8693 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 8692 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5860 ref 4924 ref appThm appThm 2781 remove refl appThm sym 611 ref 4944 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8705 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 5863 ref 559 ref appTerm appTerm 2793 ref appTerm 8706 def absTerm 8707 def appTerm 8708 def absTerm 8709 def appTerm 8710 def absTerm 8711 def appTerm 8712 def absTerm 8713 def appTerm 8714 def absTerm 8715 def appTerm 8716 def absTerm 8717 def appTerm 8718 def absTerm 8719 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8718 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8717 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8716 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8715 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 8714 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8713 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8712 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8711 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8710 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8709 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 8708 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8707 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 8706 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5880 ref 4924 ref appThm appThm 2793 remove refl appThm sym 620 ref 4944 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8719 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 65 ref "xt" 44 ref var 8720 def 65 ref "yt" 44 ref var 8721 def 71 ref 78 remove 553 remove 2862 ref 2869 remove 8720 ref varTerm 8722 def appTerm appTerm 2865 remove 8721 ref varTerm 8723 def appTerm 8724 def appTerm 8725 def appTerm 8726 def appTerm 8727 def appTerm 36 ref 8240 remove 8722 ref appTerm 8728 def appTerm 2913 remove 81 ref appTerm 8723 ref appTerm 8729 def appTerm 8730 def appTerm 8731 def absTerm 8732 def appTerm 8733 def absTerm 8734 def appTerm 8735 def absTerm 8736 def appTerm 8737 def absTerm 8738 def appTerm 8739 def absTerm 8740 def appTerm 8741 def absTerm 8742 def appTerm 8743 def absTerm 8744 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 8743 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8742 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 8741 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8740 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 8739 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8738 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 8737 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8736 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 8735 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8734 remove nil cons cons nil cons nil cons cons 662 ref subst 8720 ref nil 139 ref 8733 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 8732 remove nil cons cons nil cons nil cons cons 662 ref subst 8721 ref nil 139 ref 8731 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8727 remove nil cons 8745 def cons 111 ref 8730 ref nil cons 8746 def cons nil cons 8747 def cons nil cons cons 8748 def 126 ref subst 8748 remove 194 ref subst nil 668 remove 153 ref 8726 remove nil cons cons nil cons cons nil cons cons 8749 def 167 ref subst 8749 remove 334 ref subst nil 8643 remove 153 ref 8725 ref nil cons cons nil cons cons nil cons cons 8750 def 167 ref subst 8750 remove 334 ref subst 8721 ref 71 ref 49 ref 241 ref 242 ref 76 ref appTerm 8751 def appTerm 8752 def appTerm 8753 def 49 ref 1680 ref 242 ref 81 ref appTerm 8754 def appTerm 8755 def appTerm 8756 def 8725 ref appTerm appTerm appTerm 2862 ref 2864 ref 8751 ref appTerm 8722 ref appTerm appTerm 8757 def 2864 ref 8754 ref appTerm 8723 ref appTerm appTerm appTerm 8758 def absTerm 8759 def 8723 ref appTerm 8760 def betaConv 8720 ref 65 ref 8759 ref appTerm 8761 def absTerm 8762 def 8722 ref appTerm 8763 def betaConv 3513 ref 65 ref 8720 ref 65 ref 8721 ref 71 ref 8753 ref 49 ref 1680 remove 3521 ref appTerm appTerm 8725 ref appTerm 8764 def appTerm appTerm 8757 remove 2864 ref 3521 ref appTerm 8723 ref appTerm 8765 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8766 def 8754 ref appTerm 8767 def betaConv 3515 ref 99 ref 3513 ref 65 ref 8720 ref 65 ref 8721 ref 71 ref 49 ref 241 remove 3518 ref appTerm appTerm 8764 remove appTerm appTerm 2862 remove 2864 remove 3518 ref appTerm 8722 ref appTerm appTerm 8765 remove appTerm 8768 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8769 def 8751 ref appTerm 8770 def betaConv 48 ref 99 ref 3515 ref 99 ref 3513 ref 65 ref 8720 ref 65 ref 8721 ref 71 ref 49 ref 702 ref 3518 ref appTerm appTerm 49 ref 1679 remove 57 ref appTerm 8771 def 3521 ref appTerm appTerm 8725 ref appTerm appTerm appTerm 8768 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8772 def 240 ref appTerm 8773 def betaConv 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 65 ref 8720 remove 65 ref 8721 remove 71 ref 3520 ref 5104 ref 8725 ref appTerm appTerm appTerm 8768 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8774 def 74 ref appTerm 8775 def betaConv 26 ref 65 ref 8774 ref appTerm 8776 def absTerm 8777 def 41 ref appTerm 8778 def betaConv 29 ref 99 ref 8777 ref appTerm 8779 def absTerm 8780 def 39 ref appTerm 8781 def betaConv nil 99 ref 8780 ref appTerm 8782 def axiom nil 110 ref 8782 remove nil cons cons 111 ref 8781 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8780 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8779 remove nil cons cons 111 ref 8778 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8777 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8776 remove nil cons cons 111 ref 8775 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8774 remove nil cons cons 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 8772 ref appTerm nil cons cons 111 ref 8773 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8772 remove nil cons cons 704 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 8769 ref appTerm nil cons cons 111 ref 8770 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8769 remove nil cons cons 29 ref 8751 ref nil cons 8783 def cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 8766 ref appTerm nil cons cons 111 ref 8767 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8766 remove nil cons cons 29 ref 8754 ref nil cons 8784 def cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 8762 ref appTerm nil cons cons 111 ref 8763 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8762 remove nil cons cons 258 ref 8722 remove nil cons 8785 def cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8761 remove nil cons cons 111 ref 8760 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 8759 remove nil cons cons 258 ref 8723 remove nil cons 8786 def cons nil cons cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 8758 remove nil cons cons 8747 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 216 ref 231 ref 2005 ref subst 833 remove trans appThm 216 ref 3841 ref 2005 remove subst 5531 remove trans appThm 2907 ref 8725 remove assume appThm 8724 ref refl appThm nil 2887 remove 8724 remove nil cons cons nil cons nil cons cons 2893 remove subst trans appThm 528 ref trans appThm 528 ref trans appThm 2907 remove nil 2856 ref 8785 remove cons 230 remove cons nil cons cons 7602 ref subst appThm nil 2856 remove 8786 remove cons 371 remove cons nil cons cons 7602 remove subst appThm nil 2930 remove 4559 ref cons 2933 remove 8729 remove nil cons cons 2937 remove 4559 remove cons 2939 remove 8728 remove nil cons cons nil cons cons cons cons nil cons cons 2972 remove subst 49 ref 8730 ref appTerm refl 4560 remove appThm nil 139 ref 8746 ref cons nil cons nil cons cons 8787 def 397 remove subst trans trans trans appThm 8787 ref 840 ref subst trans appThm 8730 remove refl appThm 8787 remove 1295 remove subst trans sym 145 ref eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 8745 remove cons 153 ref 8746 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8744 remove appTerm thm nil 592 ref 539 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 2541 remove appTerm 4843 remove appTerm 8788 def absTerm 8789 def appTerm 8790 def absTerm 8791 def appTerm 8792 def absTerm 8793 def appTerm 8794 def absTerm 8795 def appTerm 8796 def absTerm 8797 def appTerm 8798 def absTerm 8799 def appTerm 8800 def absTerm 8801 def nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 8800 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8799 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8798 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8797 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8796 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8795 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8794 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8793 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8792 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8791 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8790 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8789 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8788 remove nil cons cons nil cons nil cons cons 146 ref subst 5337 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 588 ref 8801 remove appTerm thm nil 262 ref 1943 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 1945 ref 2322 ref appTerm 2369 ref appTerm 2457 ref appTerm appTerm 7767 remove 1945 ref 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm appTerm appTerm 8802 def absTerm 8803 def appTerm 8804 def absTerm 8805 def appTerm 8806 def absTerm 8807 def appTerm 8808 def absTerm 8809 def appTerm 8810 def absTerm 8811 def appTerm 8812 def absTerm 8813 def appTerm 8814 def absTerm 8815 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 8814 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8813 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 8812 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8811 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 8810 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8809 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 8808 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8807 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 8806 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 8805 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 8804 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8803 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 8802 remove nil cons cons nil cons nil cons cons 146 ref subst 155 ref 1953 ref 7525 remove appThm 3035 ref appThm 7907 remove appThm appThm 7905 remove 1953 ref 7526 remove appThm 3034 ref appThm 7906 remove appThm appThm appThm sym nil 1955 remove 1956 remove cons nil cons cons 8816 def 5337 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 8815 remove appTerm thm nil 208 ref "w1" 2 ref var 8817 def 99 ref "w2" 2 ref var 8818 def 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 860 ref 8817 ref varTerm 8819 def appTerm 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 860 ref 8818 ref varTerm 8820 def appTerm 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 860 ref 1078 ref 8819 ref appTerm 8820 ref appTerm 8821 def appTerm 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8822 def absTerm 8823 def appTerm 8824 def absTerm 8825 def appTerm 8826 def absTerm 8827 def appTerm 8828 def absTerm 8829 def appTerm 8830 def absTerm 8831 def appTerm 8832 def absTerm 8833 def appTerm 8834 def absTerm 8835 def appTerm 8836 def absTerm 8837 def nil cons cons nil cons nil cons cons 643 ref subst 8817 ref nil 139 ref 8836 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8835 remove nil cons cons nil cons nil cons cons 643 ref subst 8818 ref nil 139 ref 8834 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8833 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8832 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8831 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8830 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8829 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8828 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8827 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8826 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8825 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8824 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8823 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8822 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref nil 2558 remove 1448 remove 1451 remove 857 ref 8819 ref nil cons 8838 def cons nil cons cons cons cons nil cons cons 8839 def 887 ref subst appThm nil 2561 remove 1456 remove 1459 remove 857 ref 8820 ref nil cons 8840 def cons nil cons cons cons cons nil cons cons 8841 def 887 ref subst appThm appThm nil 2564 remove 1464 remove 1467 remove 857 ref 8821 ref nil cons cons nil cons cons cons cons nil cons cons 8842 def 887 ref subst appThm sym nil 1340 ref 725 ref 863 ref 49 ref 532 ref 8821 ref appTerm 8843 def 1466 ref appTerm 8844 def 866 ref appTerm appTerm 8845 def 869 ref 1463 ref appTerm 2563 ref appTerm appTerm absTerm 8846 def appTerm 8847 def nil cons 8848 def cons 111 ref 725 ref 863 ref 49 ref 532 ref 8820 ref appTerm 8849 def 1457 ref appTerm 8850 def 866 ref appTerm appTerm 8851 def 869 ref 1454 ref appTerm 2559 ref appTerm appTerm absTerm 8852 def appTerm 8853 def nil cons cons 110 ref 725 ref 863 ref 49 ref 532 ref 8819 ref appTerm 8854 def 1449 ref appTerm 8855 def 866 ref appTerm appTerm 8856 def 869 ref 1446 ref appTerm 2556 ref appTerm appTerm absTerm 8857 def appTerm 8858 def nil cons cons nil cons cons cons nil cons cons 2249 ref subst sym nil 208 ref "wx1" 2 ref var 8859 def 71 ref 8857 ref 8859 ref varTerm 8860 def appTerm 8861 def appTerm 71 ref 8853 remove appTerm 8847 ref appTerm 8862 def appTerm 8863 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8859 ref nil 139 ref 8863 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8861 ref nil cons 8864 def cons 111 ref 8862 ref nil cons 8865 def cons nil cons 8866 def cons nil cons cons 8867 def 126 ref subst 8867 remove 194 ref subst 8861 ref betaConv 8861 remove assume eqMp nil 110 ref 49 ref 8855 remove 8860 ref appTerm 8868 def appTerm 8869 def 532 ref 8860 ref appTerm 1446 ref appTerm 2556 ref appTerm 8870 def appTerm nil cons 8871 def cons 8866 ref cons nil cons cons 8872 def 175 ref subst proveHyp 8872 ref 126 ref subst 8872 remove 194 ref subst nil 151 ref 8868 ref nil cons 8873 def cons 8874 def 153 ref 8870 ref nil cons 8875 def cons nil cons cons nil cons cons 8876 def 167 ref subst 8876 remove 334 ref subst nil 208 ref "wx2" 2 ref var 8877 def 71 ref 8852 ref 8877 ref varTerm 8878 def appTerm 8879 def appTerm 8847 ref appTerm 8880 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8877 ref nil 139 ref 8880 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8879 ref nil cons 8881 def cons 111 ref 8848 ref cons nil cons 8882 def cons nil cons cons 8883 def 126 ref subst 8883 remove 194 ref subst 8879 ref betaConv 8879 remove assume eqMp nil 110 ref 49 ref 8850 remove 8878 ref appTerm 8884 def appTerm 8885 def 532 ref 8878 ref appTerm 1454 ref appTerm 2559 ref appTerm 8886 def appTerm nil cons 8887 def cons 8882 remove cons nil cons cons 8888 def 175 ref subst proveHyp 8888 ref 126 ref subst 8888 remove 194 ref subst nil 151 ref 8884 ref nil cons 8889 def cons 8890 def 153 ref 8886 ref nil cons 8891 def cons nil cons cons nil cons cons 8892 def 167 ref subst 8892 remove 334 ref subst 8846 ref 1078 ref 8860 ref appTerm 8878 ref appTerm 8893 def appTerm betaConv sym 216 ref nil 139 ref 8873 remove cons nil cons nil cons cons 146 ref subst 8868 remove assume eqMp appThm nil 139 ref 8889 remove cons nil cons nil cons cons 146 ref subst 8884 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 8869 ref 8884 remove appTerm nil cons cons 111 ref 8844 remove 8893 ref appTerm 8894 def nil cons 8895 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 2543 ref 8878 ref nil cons 8896 def cons 2548 ref 8860 ref nil cons 8897 def cons 1440 ref 1458 remove cons 1441 ref 1450 remove cons 1442 ref 8840 remove cons 1444 ref 8838 remove cons nil cons cons 8898 def cons cons cons cons nil cons cons 8899 def 8213 ref subst eqMp 8900 def nil 110 ref 8895 remove cons 8901 def 111 ref 532 ref 8893 ref appTerm 1463 ref appTerm 2563 ref appTerm nil cons cons nil cons 8902 def cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 8875 remove cons nil cons nil cons cons 146 ref subst 8870 ref assume eqMp appThm nil 139 ref 8891 remove cons nil cons nil cons cons 146 ref subst 8886 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 8870 remove appTerm 8886 remove appTerm nil cons cons 8902 remove cons nil cons cons 175 ref subst proveHyp nil 1442 ref 8896 ref cons 1444 ref 8897 ref cons nil cons cons nil cons cons 8903 def 8213 ref subst eqMp eqMp eqMp 207 ref 208 ref 8846 remove nil cons cons 29 ref 8893 ref nil cons cons nil cons 8904 def cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 8887 remove cons 153 ref 8848 remove cons nil cons 8905 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8881 remove cons 8905 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8852 ref 39 ref appTerm appTerm 8847 remove appTerm absTerm appTerm nil cons cons 8866 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8852 remove nil cons cons 8905 remove cons nil cons cons 811 ref subst eqMp proveHyp proveHyp eqMp nil 151 ref 8871 remove cons 153 ref 8865 remove cons nil cons 8906 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8864 remove cons 8906 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8857 ref 39 ref appTerm appTerm 8862 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8858 remove appTerm 8862 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8857 remove nil cons cons 8906 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp 8907 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8837 remove appTerm thm nil 208 ref 8817 ref 99 ref 8818 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 892 ref 8819 ref appTerm 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 892 ref 8820 ref appTerm 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 892 ref 8821 ref appTerm 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 8908 def absTerm 8909 def appTerm 8910 def absTerm 8911 def appTerm 8912 def absTerm 8913 def appTerm 8914 def absTerm 8915 def appTerm 8916 def absTerm 8917 def appTerm 8918 def absTerm 8919 def appTerm 8920 def absTerm 8921 def appTerm 8922 def absTerm 8923 def nil cons cons nil cons nil cons cons 643 ref subst 8817 ref nil 139 ref 8922 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8921 remove nil cons cons nil cons nil cons cons 643 ref subst 8818 ref nil 139 ref 8920 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8919 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 8918 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8917 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 8916 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8915 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 8914 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8913 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 8912 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8911 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 8910 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 8909 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 8908 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 8839 ref 931 ref subst appThm 8841 ref 931 ref subst appThm appThm 8842 ref 931 ref subst appThm sym nil 1340 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 8845 remove 49 ref 8843 remove 1463 ref appTerm 8924 def 897 ref appTerm appTerm 8925 def 49 ref 8197 ref 902 ref appTerm appTerm 8926 def 908 ref 2563 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8927 def appTerm 8928 def nil cons 8929 def cons 111 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 8851 remove 49 ref 8849 remove 1454 ref appTerm 8930 def 897 ref appTerm appTerm 8931 def 49 ref 8196 ref 902 ref appTerm appTerm 8932 def 908 ref 2559 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8933 def appTerm 8934 def nil cons cons 110 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 8856 remove 49 ref 8854 remove 1446 ref appTerm 8935 def 897 ref appTerm appTerm 8936 def 49 ref 8195 ref 902 ref appTerm appTerm 8937 def 908 ref 2556 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8938 def appTerm 8939 def nil cons cons nil cons cons cons nil cons cons 2249 ref subst sym nil 208 ref 8859 ref 71 ref 8938 ref 8860 ref appTerm 8940 def appTerm 71 ref 8934 remove appTerm 8928 ref appTerm 8941 def appTerm 8942 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8859 ref nil 139 ref 8942 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8940 ref nil cons 8943 def cons 111 ref 8941 ref nil cons 8944 def cons nil cons 8945 def cons nil cons cons 8946 def 126 ref subst 8946 remove 194 ref subst 8940 ref betaConv 8940 remove assume eqMp nil 110 ref 725 ref 894 ref 725 ref 895 ref 8869 ref 8936 remove 8937 ref 905 ref 8860 ref appTerm 8947 def 897 ref appTerm 902 ref appTerm 2556 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 8948 def appTerm 8949 def nil cons cons 8945 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "wy1" 2 ref var 8950 def 71 ref 8948 ref 8950 ref varTerm 8951 def appTerm 8952 def appTerm 8941 ref appTerm 8953 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8950 remove nil 139 ref 8953 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8952 ref nil cons 8954 def cons 8945 ref cons nil cons cons 8955 def 126 ref subst 8955 remove 194 ref subst 8952 ref betaConv 8952 remove assume eqMp nil 110 ref 725 ref 895 ref 8869 ref 49 ref 8935 remove 8951 ref appTerm 8956 def appTerm 8957 def 8937 remove 8947 remove 8951 ref appTerm 8958 def 902 ref appTerm 2556 ref appTerm appTerm appTerm appTerm absTerm 8959 def appTerm 8960 def nil cons cons 8945 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "xy1" 2 ref var 8961 def 71 ref 8959 ref 8961 ref varTerm 8962 def appTerm 8963 def appTerm 8941 ref appTerm 8964 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8961 remove nil 139 ref 8964 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8963 ref nil cons 8965 def cons 8945 ref cons nil cons cons 8966 def 126 ref subst 8966 remove 194 ref subst 8963 ref betaConv 8963 remove assume eqMp nil 110 ref 8869 remove 8957 ref 49 ref 8195 remove 8962 ref appTerm 8967 def appTerm 8968 def 8958 remove 8962 ref appTerm 2556 ref appTerm 8969 def appTerm 8970 def appTerm 8971 def appTerm nil cons 8972 def cons 8945 ref cons nil cons cons 8973 def 175 ref subst proveHyp 8973 ref 126 ref subst 8973 remove 194 ref subst nil 8874 remove 153 ref 8971 remove nil cons cons nil cons cons nil cons cons 8974 def 167 ref subst 8974 remove 334 ref subst nil 151 ref 8956 ref nil cons 8975 def cons 153 ref 8970 remove nil cons cons nil cons cons nil cons cons 8976 def 167 ref subst 8976 remove 334 ref subst nil 151 ref 8967 ref nil cons 8977 def cons 153 ref 8969 ref nil cons 8978 def cons nil cons cons nil cons cons 8979 def 167 ref subst 8979 remove 334 ref subst nil 208 ref 8877 ref 71 ref 8933 ref 8878 ref appTerm 8980 def appTerm 8928 ref appTerm 8981 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8877 ref nil 139 ref 8981 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8980 ref nil cons 8982 def cons 111 ref 8929 ref cons nil cons 8983 def cons nil cons cons 8984 def 126 ref subst 8984 remove 194 ref subst 8980 ref betaConv 8980 remove assume eqMp nil 110 ref 725 ref 894 ref 725 ref 895 ref 8885 ref 8931 remove 8932 ref 905 ref 8878 ref appTerm 8985 def 897 ref appTerm 902 ref appTerm 2559 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 8986 def appTerm 8987 def nil cons cons 8983 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "wy2" 2 ref var 8988 def 71 ref 8986 ref 8988 ref varTerm 8989 def appTerm 8990 def appTerm 8928 ref appTerm 8991 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8988 remove nil 139 ref 8991 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 8990 ref nil cons 8992 def cons 8983 ref cons nil cons cons 8993 def 126 ref subst 8993 remove 194 ref subst 8990 ref betaConv 8990 remove assume eqMp nil 110 ref 725 ref 895 ref 8885 ref 49 ref 8930 remove 8989 ref appTerm 8994 def appTerm 8995 def 8932 remove 8985 remove 8989 ref appTerm 8996 def 902 ref appTerm 2559 ref appTerm appTerm appTerm appTerm absTerm 8997 def appTerm 8998 def nil cons cons 8983 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref "xy2" 2 ref var 8999 def 71 ref 8997 ref 8999 ref varTerm 9000 def appTerm 9001 def appTerm 8928 ref appTerm 9002 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8999 remove nil 139 ref 9002 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9001 ref nil cons 9003 def cons 8983 ref cons nil cons cons 9004 def 126 ref subst 9004 remove 194 ref subst 9001 ref betaConv 9001 remove assume eqMp nil 110 ref 8885 remove 8995 remove 49 ref 8196 remove 9000 ref appTerm 9005 def appTerm 8996 remove 9000 ref appTerm 2559 ref appTerm 9006 def appTerm 9007 def appTerm 9008 def appTerm nil cons 9009 def cons 8983 remove cons nil cons cons 9010 def 175 ref subst proveHyp 9010 ref 126 ref subst 9010 remove 194 ref subst nil 8890 remove 153 ref 9008 remove nil cons cons nil cons cons nil cons cons 9011 def 167 ref subst 9011 remove 334 ref subst nil 151 ref 8994 ref nil cons 9012 def cons 153 ref 9007 remove nil cons cons nil cons cons nil cons cons 9013 def 167 ref subst 9013 remove 334 ref subst nil 151 ref 9005 ref nil cons 9014 def cons 153 ref 9006 ref nil cons 9015 def cons nil cons cons nil cons cons 9016 def 167 ref subst 9016 remove 334 ref subst 8927 ref 8893 ref appTerm betaConv sym 894 ref 725 ref 895 ref 49 ref 8894 remove appTerm 9017 def 8925 remove 8926 ref 905 ref 8893 ref appTerm 9018 def 897 ref appTerm 902 ref appTerm 2563 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9019 def 1078 ref 8951 ref appTerm 8989 ref appTerm 9020 def appTerm betaConv sym 895 ref 9017 remove 49 ref 8924 remove 9020 ref appTerm 9021 def appTerm 9022 def 8926 remove 9018 remove 9020 ref appTerm 9023 def 902 ref appTerm 2563 ref appTerm appTerm appTerm appTerm absTerm 9024 def 1078 ref 8962 ref appTerm 9000 ref appTerm 9025 def appTerm betaConv sym 8900 remove nil 8901 remove 111 ref 9022 remove 49 ref 8197 remove 9025 ref appTerm 9026 def appTerm 9023 remove 9025 ref appTerm 2563 ref appTerm 9027 def appTerm 9028 def appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 8975 remove cons nil cons nil cons cons 146 ref subst 8956 remove assume eqMp appThm nil 139 ref 9012 remove cons nil cons nil cons cons 146 ref subst 8994 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 8957 remove 8994 remove appTerm nil cons cons 111 ref 9021 remove nil cons 9029 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 2543 ref 8989 remove nil cons 9030 def cons 2548 ref 8951 remove nil cons 9031 def cons 8898 remove cons cons nil cons cons 8213 ref subst eqMp nil 110 ref 9029 remove cons 111 ref 9028 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 8977 remove cons nil cons nil cons cons 146 ref subst 8967 remove assume eqMp appThm nil 139 ref 9014 remove cons nil cons nil cons cons 146 ref subst 9005 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 8968 remove 9005 remove appTerm nil cons cons 111 ref 9026 remove nil cons 9032 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 2543 ref 9000 remove nil cons 9033 def cons 2548 ref 8962 remove nil cons 9034 def cons nil cons cons nil cons cons 8213 remove subst eqMp nil 110 ref 9032 remove cons 111 ref 9027 remove nil cons cons nil cons 9035 def cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 8978 remove cons nil cons nil cons cons 146 ref subst 8969 ref assume eqMp appThm nil 139 ref 9015 remove cons nil cons nil cons cons 146 ref subst 9006 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 8969 remove appTerm 9006 remove appTerm nil cons cons 9035 remove cons nil cons cons 175 ref subst proveHyp nil 1440 ref 9033 remove cons 1441 ref 9034 remove cons 1442 ref 9030 remove cons 1444 ref 9031 remove cons 8818 ref 8896 remove cons 8817 ref 8897 remove cons nil cons cons cons cons cons cons nil cons cons 226 ref 216 ref 8839 ref 964 ref subst appThm 8841 ref 964 ref subst appThm appThm 8842 ref 964 ref subst appThm sym nil 1340 ref 725 ref 863 ref 49 ref 606 ref 8821 ref appTerm 1466 ref appTerm 9036 def 866 ref appTerm appTerm 947 ref 1463 ref appTerm 2563 ref appTerm appTerm absTerm 9037 def appTerm 9038 def nil cons 9039 def cons 111 ref 725 ref 863 ref 49 ref 606 ref 8820 ref appTerm 1457 ref appTerm 9040 def 866 ref appTerm appTerm 947 ref 1454 ref appTerm 2559 ref appTerm appTerm absTerm 9041 def appTerm 9042 def nil cons cons 110 ref 725 ref 863 ref 49 ref 606 ref 8819 ref appTerm 1449 ref appTerm 9043 def 866 ref appTerm appTerm 947 ref 1446 ref appTerm 2556 ref appTerm appTerm absTerm 9044 def appTerm 9045 def nil cons cons nil cons cons cons nil cons cons 2249 ref subst sym nil 208 ref 8859 ref 71 ref 9044 ref 8860 ref appTerm 9046 def appTerm 71 ref 9042 remove appTerm 9038 ref appTerm 9047 def appTerm 9048 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8859 ref nil 139 ref 9048 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9046 ref nil cons 9049 def cons 111 ref 9047 ref nil cons 9050 def cons nil cons 9051 def cons nil cons cons 9052 def 126 ref subst 9052 remove 194 ref subst 9046 ref betaConv 9046 remove assume eqMp nil 110 ref 49 ref 9043 remove 8860 ref appTerm 9053 def appTerm 9054 def 606 ref 8860 ref appTerm 1446 ref appTerm 2556 ref appTerm 9055 def appTerm nil cons 9056 def cons 9051 ref cons nil cons cons 9057 def 175 ref subst proveHyp 9057 ref 126 ref subst 9057 remove 194 ref subst nil 151 ref 9053 ref nil cons 9058 def cons 153 ref 9055 ref nil cons 9059 def cons nil cons cons nil cons cons 9060 def 167 ref subst 9060 remove 334 ref subst nil 208 ref 8877 ref 71 ref 9041 ref 8878 ref appTerm 9061 def appTerm 9038 ref appTerm 9062 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8877 ref nil 139 ref 9062 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9061 ref nil cons 9063 def cons 111 ref 9039 ref cons nil cons 9064 def cons nil cons cons 9065 def 126 ref subst 9065 remove 194 ref subst 9061 ref betaConv 9061 remove assume eqMp nil 110 ref 49 ref 9040 remove 8878 ref appTerm 9066 def appTerm 606 ref 8878 ref appTerm 1454 ref appTerm 2559 ref appTerm 9067 def appTerm nil cons 9068 def cons 9064 remove cons nil cons cons 9069 def 175 ref subst proveHyp 9069 ref 126 ref subst 9069 remove 194 ref subst nil 151 ref 9066 ref nil cons 9070 def cons 153 ref 9067 ref nil cons 9071 def cons nil cons cons nil cons cons 9072 def 167 ref subst 9072 remove 334 ref subst 9037 ref 8893 ref appTerm betaConv sym 216 ref nil 139 ref 9058 remove cons nil cons nil cons cons 146 ref subst 9053 remove assume eqMp appThm nil 139 ref 9070 remove cons nil cons nil cons cons 146 ref subst 9066 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 9054 remove 9066 remove appTerm nil cons cons 111 ref 9036 remove 8893 ref appTerm nil cons 9073 def cons nil cons cons nil cons cons 175 ref subst proveHyp 8899 ref 8226 ref subst eqMp nil 110 ref 9073 remove cons 111 ref 606 ref 8893 ref appTerm 1463 ref appTerm 2563 ref appTerm nil cons cons nil cons 9074 def cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 9059 remove cons nil cons nil cons cons 146 ref subst 9055 ref assume eqMp appThm nil 139 ref 9071 remove cons nil cons nil cons cons 146 ref subst 9067 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 9055 remove appTerm 9067 remove appTerm nil cons cons 9074 remove cons nil cons cons 175 ref subst proveHyp 8903 ref 8226 remove subst eqMp eqMp eqMp 207 ref 208 ref 9037 remove nil cons cons 8904 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 9068 remove cons 153 ref 9039 remove cons nil cons 9075 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9063 remove cons 9075 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9041 ref 39 ref appTerm appTerm 9038 remove appTerm absTerm appTerm nil cons cons 9051 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9041 remove nil cons cons 9075 remove cons nil cons cons 811 ref subst eqMp proveHyp proveHyp eqMp nil 151 ref 9056 remove cons 153 ref 9050 remove cons nil cons 9076 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9049 remove cons 9076 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9044 ref 39 ref appTerm appTerm 9047 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9045 remove appTerm 9047 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9044 remove nil cons cons 9076 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp 9077 def subst eqMp eqMp eqMp eqMp eqMp 207 ref 208 ref 9024 remove nil cons cons 29 ref 9025 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9019 remove nil cons cons 29 ref 9020 remove nil cons cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 8927 remove nil cons cons 8904 ref cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 9009 remove cons 153 ref 8929 remove cons nil cons 9078 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9003 remove cons 9078 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8997 ref 39 ref appTerm appTerm 8928 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8998 remove appTerm 8928 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8997 remove nil cons cons 9078 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8992 remove cons 9078 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8986 ref 39 ref appTerm appTerm 8928 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8987 remove appTerm 8928 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8986 remove nil cons cons 9078 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8982 remove cons 9078 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8933 ref 39 ref appTerm appTerm 8928 remove appTerm absTerm appTerm nil cons cons 8945 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8933 remove nil cons cons 9078 remove cons nil cons cons 811 ref subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 8972 remove cons 153 ref 8944 remove cons nil cons 9079 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 8965 remove cons 9079 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8959 ref 39 ref appTerm appTerm 8941 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8960 remove appTerm 8941 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8959 remove nil cons cons 9079 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8954 remove cons 9079 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8948 ref 39 ref appTerm appTerm 8941 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8949 remove appTerm 8941 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8948 remove nil cons cons 9079 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 8943 remove cons 9079 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 8938 ref 39 ref appTerm appTerm 8941 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 8939 remove appTerm 8941 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 8938 remove nil cons cons 9079 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp 9080 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 8923 remove appTerm thm nil 208 ref 8817 ref 99 ref 8818 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 905 ref 8819 ref appTerm 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 905 ref 8820 ref appTerm 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 905 ref 8821 ref appTerm 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 9081 def absTerm 9082 def appTerm 9083 def absTerm 9084 def appTerm 9085 def absTerm 9086 def appTerm 9087 def absTerm 9088 def appTerm 9089 def absTerm 9090 def appTerm 9091 def absTerm 9092 def appTerm 9093 def absTerm 9094 def appTerm 9095 def absTerm 9096 def nil cons cons nil cons nil cons cons 643 ref subst 8817 ref nil 139 ref 9095 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9094 remove nil cons cons nil cons nil cons cons 643 ref subst 8818 ref nil 139 ref 9093 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9092 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 ref nil 139 ref 9091 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9090 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 ref nil 139 ref 9089 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9088 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 ref nil 139 ref 9087 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9086 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 ref nil 139 ref 9085 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9084 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 ref nil 139 ref 9083 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9082 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 ref nil 139 ref 9081 remove nil cons cons nil cons nil cons cons 146 ref subst 9077 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 9096 remove appTerm thm nil 208 ref 8817 ref 99 ref 8818 ref 99 ref 1444 ref 99 ref 1442 ref 99 ref 1441 ref 99 ref 1440 ref 99 ref 2548 ref 99 ref 2543 ref 71 ref 49 ref 968 ref 8819 ref appTerm 1449 ref appTerm 1446 ref appTerm 2556 ref appTerm appTerm 968 ref 8820 ref appTerm 1457 ref appTerm 1454 ref appTerm 2559 ref appTerm appTerm appTerm 968 ref 8821 ref appTerm 1466 ref appTerm 1463 ref appTerm 2563 ref appTerm appTerm 9097 def absTerm 9098 def appTerm 9099 def absTerm 9100 def appTerm 9101 def absTerm 9102 def appTerm 9103 def absTerm 9104 def appTerm 9105 def absTerm 9106 def appTerm 9107 def absTerm 9108 def appTerm 9109 def absTerm 9110 def appTerm 9111 def absTerm 9112 def nil cons cons nil cons nil cons cons 643 ref subst 8817 ref nil 139 ref 9111 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9110 remove nil cons cons nil cons nil cons cons 643 ref subst 8818 ref nil 139 ref 9109 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9108 remove nil cons cons nil cons nil cons cons 643 ref subst 1444 remove nil 139 ref 9107 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9106 remove nil cons cons nil cons nil cons cons 643 ref subst 1442 remove nil 139 ref 9105 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9104 remove nil cons cons nil cons nil cons cons 643 ref subst 1441 remove nil 139 ref 9103 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9102 remove nil cons cons nil cons nil cons cons 643 ref subst 1440 remove nil 139 ref 9101 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9100 remove nil cons cons nil cons nil cons cons 643 ref subst 2548 remove nil 139 ref 9099 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9098 remove nil cons cons nil cons nil cons cons 643 ref subst 2543 remove nil 139 ref 9097 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 8839 remove 991 ref subst appThm 8841 remove 991 ref subst appThm appThm 8842 remove 991 ref subst appThm sym nil 1340 ref 725 ref 863 ref 49 ref 615 ref 8821 remove appTerm 1466 remove appTerm 9113 def 866 ref appTerm appTerm 974 ref 1463 ref appTerm 2563 ref appTerm appTerm absTerm 9114 def appTerm 9115 def nil cons 9116 def cons 111 ref 725 ref 863 ref 49 ref 615 ref 8820 remove appTerm 1457 remove appTerm 9117 def 866 ref appTerm appTerm 974 ref 1454 ref appTerm 2559 ref appTerm appTerm absTerm 9118 def appTerm 9119 def nil cons cons 110 ref 725 ref 863 ref 49 ref 615 ref 8819 remove appTerm 1449 remove appTerm 9120 def 866 ref appTerm appTerm 974 ref 1446 ref appTerm 2556 ref appTerm appTerm absTerm 9121 def appTerm 9122 def nil cons cons nil cons cons cons nil cons cons 2249 remove subst sym nil 208 ref 8859 ref 71 ref 9121 ref 8860 ref appTerm 9123 def appTerm 71 ref 9119 remove appTerm 9115 ref appTerm 9124 def appTerm 9125 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8859 remove nil 139 ref 9125 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9123 ref nil cons 9126 def cons 111 ref 9124 ref nil cons 9127 def cons nil cons 9128 def cons nil cons cons 9129 def 126 ref subst 9129 remove 194 ref subst 9123 ref betaConv 9123 remove assume eqMp nil 110 ref 49 ref 9120 remove 8860 ref appTerm 9130 def appTerm 9131 def 615 ref 8860 remove appTerm 1446 remove appTerm 2556 remove appTerm 9132 def appTerm nil cons 9133 def cons 9128 ref cons nil cons cons 9134 def 175 ref subst proveHyp 9134 ref 126 ref subst 9134 remove 194 ref subst nil 151 ref 9130 ref nil cons 9135 def cons 153 ref 9132 ref nil cons 9136 def cons nil cons cons nil cons cons 9137 def 167 ref subst 9137 remove 334 ref subst nil 208 ref 8877 ref 71 ref 9118 ref 8878 ref appTerm 9138 def appTerm 9115 ref appTerm 9139 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 8877 remove nil 139 ref 9139 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9138 ref nil cons 9140 def cons 111 ref 9116 ref cons nil cons 9141 def cons nil cons cons 9142 def 126 ref subst 9142 remove 194 ref subst 9138 ref betaConv 9138 remove assume eqMp nil 110 ref 49 ref 9117 remove 8878 ref appTerm 9143 def appTerm 615 ref 8878 remove appTerm 1454 remove appTerm 2559 remove appTerm 9144 def appTerm nil cons 9145 def cons 9141 remove cons nil cons cons 9146 def 175 ref subst proveHyp 9146 ref 126 ref subst 9146 remove 194 ref subst nil 151 ref 9143 ref nil cons 9147 def cons 153 ref 9144 ref nil cons 9148 def cons nil cons cons nil cons cons 9149 def 167 ref subst 9149 remove 334 ref subst 9114 ref 8893 ref appTerm betaConv sym 216 ref nil 139 ref 9135 remove cons nil cons nil cons cons 146 ref subst 9130 remove assume eqMp appThm nil 139 ref 9147 remove cons nil cons nil cons cons 146 ref subst 9143 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 9131 remove 9143 remove appTerm nil cons cons 111 ref 9113 remove 8893 ref appTerm nil cons 9150 def cons nil cons cons nil cons cons 175 ref subst proveHyp 8899 remove 8239 ref subst eqMp nil 110 ref 9150 remove cons 111 ref 615 ref 8893 remove appTerm 1463 remove appTerm 2563 remove appTerm nil cons cons nil cons 9151 def cons nil cons cons 194 ref subst proveHyp 216 ref nil 139 ref 9136 remove cons nil cons nil cons cons 146 ref subst 9132 ref assume eqMp appThm nil 139 ref 9148 remove cons nil cons nil cons cons 146 ref subst 9144 ref assume eqMp appThm 528 ref trans sym 145 ref eqMp nil 110 ref 49 ref 9132 remove appTerm 9144 remove appTerm nil cons cons 9151 remove cons nil cons cons 175 ref subst proveHyp 8903 remove 8239 remove subst eqMp eqMp eqMp 207 ref 208 ref 9114 remove nil cons cons 8904 remove cons nil cons cons 724 ref subst proveHyp proveHyp proveHyp eqMp nil 151 ref 9145 remove cons 153 ref 9116 remove cons nil cons 9152 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9140 remove cons 9152 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9118 ref 39 ref appTerm appTerm 9115 remove appTerm absTerm appTerm nil cons cons 9128 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9118 remove nil cons cons 9152 remove cons nil cons cons 811 ref subst eqMp proveHyp proveHyp eqMp nil 151 ref 9133 remove cons 153 ref 9127 remove cons nil cons 9153 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9126 remove cons 9153 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9121 ref 39 ref appTerm appTerm 9124 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9122 remove appTerm 9124 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9121 remove nil cons cons 9153 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp 9154 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 99 ref 9112 remove appTerm thm nil 178 ref 5466 ref 588 ref 539 ref 71 ref 68 ref 263 ref 68 ref 1001 ref 68 ref 2165 ref 71 ref 5467 ref 627 ref appTerm 2168 ref appTerm appTerm 4633 remove 1002 ref appTerm 2168 ref appTerm appTerm absTerm 9155 def appTerm 9156 def absTerm 9157 def appTerm 9158 def absTerm 9159 def appTerm 9160 def appTerm 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 451 remove 5479 remove 547 ref appTerm 9161 def appTerm 9162 def appTerm 548 ref appTerm 9163 def absTerm 9164 def appTerm 9165 def absTerm 9166 def appTerm 9167 def absTerm 9168 def appTerm 9169 def appTerm 9170 def absTerm 9171 def appTerm 9172 def absTerm 9173 def nil cons cons nil cons nil cons cons 1982 ref subst 5466 remove nil 139 ref 9172 remove nil cons cons nil cons nil cons cons 146 ref subst nil 592 ref 9171 remove nil cons cons nil cons nil cons cons 2815 ref subst 539 ref nil 139 ref 9170 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9160 remove nil cons 9174 def cons 9175 def 111 ref 9169 remove nil cons 9176 def cons nil cons cons nil cons cons 9177 def 126 ref subst 9177 remove 194 ref subst nil 208 ref 9168 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9167 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9166 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9165 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9164 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9163 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9162 remove nil cons 9178 def cons 7951 remove nil cons 9179 def cons nil cons cons 9180 def 126 ref subst 9180 remove 194 ref subst nil 2765 remove 153 ref 9161 ref nil cons 9181 def cons nil cons cons nil cons cons 9182 def 167 ref subst 9182 remove 334 ref subst nil 2185 remove 9179 remove cons nil cons cons 175 ref subst 26 ref 1118 remove 548 remove appTerm absTerm 9183 def 41 ref appTerm 9184 def betaConv nil 110 ref 9181 remove cons 111 ref 99 ref 9183 ref appTerm 9185 def nil cons 9186 def cons nil cons cons nil cons cons 175 ref subst 542 ref 71 ref 9161 remove appTerm 9187 def 9185 ref appTerm absTerm 9188 def 547 ref appTerm 9189 def betaConv 29 ref 99 ref 9188 ref appTerm 9190 def absTerm 9191 def 39 ref appTerm 9192 def betaConv nil 208 ref 26 ref 71 ref 219 remove 60 ref appTerm appTerm 9193 def 2258 remove 20 ref appTerm 9194 def appTerm 9195 def absTerm 9196 def nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9195 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref nil 7303 ref 487 remove cons nil cons cons 7302 ref subst appThm 9194 ref refl 9197 def appThm sym 226 ref 8483 ref 221 remove appThm 2250 remove trans appThm 9197 remove appThm sym nil 2262 remove 111 ref 9194 remove nil cons 9198 def cons nil cons cons nil cons cons 9199 def 126 ref subst 9199 remove 194 ref subst 36 ref "_32104" 2 ref var 9200 def 1960 remove 9200 remove varTerm appTerm 20 ref appTerm absTerm 9201 def 41 ref appTerm 9202 def appTerm refl 9201 ref 20 ref appTerm betaConv appThm 155 ref 9202 remove betaConv appThm 1962 remove refl appThm trans 9201 remove refl 2269 remove appThm eqMp sym 602 remove eqMp eqMp nil 2270 remove 153 ref 9198 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp nil 110 ref 99 ref 9196 remove appTerm 9203 def nil cons cons 111 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 71 ref 49 ref 5467 remove 2292 ref appTerm 9204 def 2344 ref appTerm appTerm 9205 def 49 ref 5478 remove 2314 ref appTerm 9206 def 2361 ref appTerm appTerm 9207 def 99 ref 26 ref 71 ref 2325 remove 60 ref appTerm appTerm 9208 def 2396 ref 2361 ref appTerm appTerm absTerm appTerm appTerm 9209 def appTerm appTerm 99 ref 26 ref 71 ref 3351 remove 60 remove appTerm appTerm 9210 def 2338 ref 2369 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm 9211 def absTerm 9212 def appTerm 9213 def absTerm 9214 def appTerm 9215 def nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp nil 262 ref 9214 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 9213 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9212 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 9211 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 2445 ref 99 ref 2360 ref 71 ref 49 ref 9204 remove 2446 ref appTerm 9216 def appTerm 9217 def 9209 remove appTerm appTerm 99 ref 26 ref 9210 ref 2338 ref 2456 remove 2361 ref appTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm 9218 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 9218 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 2423 ref 71 ref 9217 ref 49 ref 9206 remove 2424 ref appTerm 9219 def appTerm 9220 def 99 ref 26 ref 9208 ref 2396 remove 2424 ref appTerm 9221 def appTerm absTerm appTerm appTerm appTerm appTerm 9222 def 99 ref 26 ref 9210 ref 2338 remove 2457 ref appTerm 9223 def appTerm absTerm appTerm appTerm 9224 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 9224 remove nil cons cons nil cons nil cons cons 146 ref subst 9222 remove refl 624 ref 26 ref 226 ref 217 ref 5718 remove appThm 2192 remove appThm appThm 9223 ref refl 9225 def appThm absThm appThm appThm sym 226 ref 9217 ref refl 9220 ref refl 624 ref 26 ref 226 ref nil 7303 ref 258 ref 3368 remove cons nil cons cons nil cons cons 7302 ref subst appThm 9221 ref refl appThm absThm appThm appThm appThm appThm 624 ref 26 ref 226 ref nil 7303 remove 258 ref 1284 remove 2324 ref appTerm nil cons cons nil cons cons nil cons cons 7302 remove subst appThm 9225 ref appThm absThm appThm appThm sym 71 ref 9217 remove 9220 remove 99 ref 26 ref 71 ref 61 ref 2324 ref appTerm appTerm 9221 remove appTerm absTerm 9226 def appTerm 9227 def appTerm 9228 def appTerm 9229 def appTerm refl 9230 def 624 ref 26 ref 226 ref 8483 ref 5719 remove 1247 remove subst appThm appThm 9225 ref appThm absThm appThm appThm sym 9230 remove 624 ref 26 ref 226 ref 8483 remove 3435 remove 2096 remove subst appThm appThm 9225 remove appThm absThm appThm appThm sym nil 110 ref 9229 remove nil cons 9231 def cons 111 ref 99 ref 26 ref 71 ref 61 remove 3392 remove appTerm 9232 def appTerm 9223 ref appTerm 9233 def absTerm 9234 def appTerm nil cons 9235 def cons nil cons cons nil cons cons 9236 def 126 ref subst 9236 remove 194 ref subst nil 151 ref 9216 remove nil cons 9237 def cons 153 ref 9228 remove nil cons cons nil cons cons nil cons cons 9238 def 167 ref subst 9238 remove 334 ref subst nil 151 ref 9219 remove nil cons cons 153 ref 9227 remove nil cons 9239 def cons nil cons cons nil cons cons 334 ref subst nil 208 ref 9234 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9233 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9232 ref nil cons 9240 def cons 111 ref 9223 ref nil cons 9241 def cons nil cons 9242 def cons nil cons cons 9243 def 126 ref subst 9243 remove 194 ref subst nil 3369 remove 213 ref cons nil cons cons 1094 remove subst 9232 remove assume eqMp nil 110 ref 1000 remove 227 ref 725 ref 1111 ref 2295 remove 2296 remove 2324 ref appTerm 9244 def appTerm absTerm appTerm absTerm 9245 def appTerm 9246 def nil cons cons 9242 ref cons nil cons cons 175 ref subst proveHyp nil 262 ref 2343 ref 71 ref 9245 ref 2344 ref appTerm 9247 def appTerm 9223 ref appTerm 9248 def absTerm nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 9248 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9247 ref nil cons 9249 def cons 9242 ref cons nil cons cons 9250 def 126 ref subst 9250 remove 194 ref subst 9247 ref betaConv 9247 remove assume eqMp nil 110 ref 725 ref 1111 remove 2356 remove 9244 remove appTerm absTerm 9251 def appTerm 9252 def nil cons cons 9242 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 2360 ref 71 ref 9251 ref 2361 ref appTerm 9253 def appTerm 9223 ref appTerm 9254 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 9254 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9253 ref nil cons 9255 def cons 9242 ref cons nil cons cons 9256 def 126 ref subst 9256 remove 194 ref subst 9253 ref betaConv 9253 remove assume eqMp nil 110 ref 2371 remove 2373 remove 2324 remove appTerm 9257 def appTerm nil cons 9258 def cons 9242 remove cons nil cons cons 9259 def 175 ref subst proveHyp 9259 ref 126 ref subst 9259 remove 194 ref subst nil 2378 remove 153 ref 9257 remove nil cons 9260 def cons nil cons cons nil cons cons 9261 def 167 ref subst 9261 remove 334 ref subst 36 ref "_32108" 2 ref var 9262 def 2337 remove 9262 remove varTerm appTerm 2457 ref appTerm absTerm 9263 def 41 ref appTerm 9264 def appTerm refl 9263 ref 2369 ref appTerm betaConv appThm 155 ref 9264 remove betaConv appThm 5336 remove appThm trans 9263 remove refl 2392 remove appThm eqMp sym 5337 remove sym nil 110 ref 9237 remove cons 4868 remove cons nil cons cons 175 ref subst nil 7820 ref 2996 ref 2438 remove cons cons nil cons cons 9155 ref 2168 ref appTerm 9265 def betaConv 9157 ref 1002 ref appTerm 9266 def betaConv 9159 ref 627 ref appTerm 9267 def betaConv nil 9175 remove 111 ref 9267 remove nil cons cons nil cons cons nil cons cons 175 ref subst 261 ref 262 ref 9159 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9158 remove nil cons cons 111 ref 9266 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9157 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9156 remove nil cons cons 111 ref 9265 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9155 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp 4996 remove proveHyp nil 110 ref 9260 remove cons 4995 remove cons nil cons cons 175 ref subst nil 3385 remove nil cons nil cons cons 9226 ref 41 ref appTerm 9268 def betaConv nil 110 ref 9239 remove cons 111 ref 9268 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 208 ref 9226 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 9258 remove cons 153 ref 9241 remove cons nil cons 9269 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9255 remove cons 9269 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9251 ref 39 ref appTerm appTerm 9223 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9252 remove appTerm 9223 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9251 remove nil cons cons 9269 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9249 remove cons 9269 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 68 ref 263 ref 71 ref 9245 ref 627 ref appTerm appTerm 9223 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9246 remove appTerm 9223 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9245 remove nil cons cons 9269 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9240 remove cons 9269 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp eqMp nil 151 ref 9231 remove cons 153 ref 9235 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 110 ref 49 ref 9203 remove appTerm 9215 remove appTerm nil cons cons 111 ref 99 ref 9191 ref appTerm nil cons 9270 def cons nil cons cons nil cons cons 175 ref subst proveHyp 226 ref 216 ref 29 ref 542 ref 9185 remove absTerm 9271 def absTerm 9272 def 20 ref appTerm betaConv 21 remove appThm 542 ref 99 ref 26 ref 9193 remove 2259 remove appTerm absTerm appTerm absTerm 20 remove appTerm betaConv trans appThm 225 ref 2291 ref 624 ref 2313 ref 225 ref 2343 ref 624 ref 2360 ref 226 ref 9205 remove refl 9207 remove refl 9272 ref 2314 ref appTerm betaConv 3034 remove appThm 542 ref 99 ref 26 ref 9208 remove 2397 remove appTerm absTerm appTerm absTerm 2361 ref appTerm betaConv trans appThm appThm appThm 9272 ref 2322 ref appTerm betaConv 3035 remove appThm 542 ref 99 ref 26 ref 9210 remove 2339 remove appTerm absTerm appTerm absTerm 2369 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 624 ref 29 ref 624 remove 542 ref 9187 remove refl 9272 ref 39 ref appTerm betaConv 2163 remove appThm 9271 remove 547 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm nil 3036 ref 9272 remove nil cons cons 5506 remove cons nil cons cons 3971 ref subst eqMp eqMp nil 110 ref 9270 remove cons 111 ref 9192 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9191 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9190 remove nil cons cons 111 ref 9189 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9188 remove nil cons cons 595 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp nil 110 ref 9186 remove cons 111 ref 9184 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9183 remove nil cons cons 213 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 9178 remove cons 7981 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 151 ref 9174 remove cons 153 ref 9176 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 108 ref 9173 remove appTerm thm 4945 remove nil 4946 remove thm nil 262 ref 1943 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 7270 ref 559 ref appTerm appTerm 4022 ref appTerm 9273 def absTerm 9274 def appTerm 9275 def absTerm 9276 def appTerm 9277 def absTerm 9278 def appTerm 9279 def absTerm 9280 def appTerm 9281 def absTerm 9282 def appTerm 9283 def absTerm 9284 def appTerm 9285 def absTerm 9286 def appTerm 9287 def absTerm 9288 def nil cons cons nil cons nil cons cons 663 ref subst 1943 ref nil 139 ref 9287 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9286 remove nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9285 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9284 remove nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9283 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9282 remove nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9281 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 9280 remove nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 9279 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9278 remove nil cons cons nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 9277 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9276 remove nil cons cons nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 9275 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9274 remove nil cons cons nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 9273 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 7281 ref 4924 remove appThm appThm 4022 remove refl appThm sym 8816 remove 4944 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 9288 remove appTerm thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 5786 ref 5108 ref appTerm 9289 def appTerm 532 ref 3518 ref appTerm 3521 ref appTerm 9290 def 5105 ref appTerm 9291 def appTerm 9292 def absTerm 9293 def appTerm 9294 def absTerm 9295 def appTerm 9296 def absTerm 9297 def appTerm 9298 def absTerm 9299 def appTerm 9300 def absTerm 9301 def appTerm 9302 def absTerm 9303 def appTerm 9304 def absTerm 9305 def appTerm 9306 def absTerm 9307 def nil cons cons 9308 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9306 remove nil cons 9309 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9305 ref nil cons cons 9310 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9304 remove nil cons 9311 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9303 ref nil cons cons 9312 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9302 remove nil cons 9313 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9301 ref nil cons cons 9314 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9300 remove nil cons 9315 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9299 ref nil cons cons 9316 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9298 remove nil cons 9317 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9297 ref nil cons cons 9318 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9296 remove nil cons 9319 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9295 ref nil cons cons 9320 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9294 remove nil cons 9321 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9293 ref nil cons cons 9322 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9292 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5803 remove 5169 ref appThm appThm 538 remove 8095 ref appThm 8096 ref appThm 5105 ref refl 9323 def appThm appThm sym 541 remove 5248 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 9324 def nil 99 ref 9307 ref appTerm 9325 def thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 5843 ref 5108 ref appTerm 9326 def appTerm 606 ref 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 9327 def appTerm 9328 def absTerm 9329 def appTerm 9330 def absTerm 9331 def appTerm 9332 def absTerm 9333 def appTerm 9334 def absTerm 9335 def appTerm 9336 def absTerm 9337 def appTerm 9338 def absTerm 9339 def appTerm 9340 def absTerm 9341 def appTerm 9342 def absTerm 9343 def nil cons cons 9344 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9342 remove nil cons 9345 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9341 ref nil cons cons 9346 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9340 remove nil cons 9347 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9339 ref nil cons cons 9348 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9338 remove nil cons 9349 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9337 ref nil cons cons 9350 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9336 remove nil cons 9351 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9335 ref nil cons cons 9352 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9334 remove nil cons 9353 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9333 ref nil cons cons 9354 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9332 remove nil cons 9355 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9331 ref nil cons cons 9356 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9330 remove nil cons 9357 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9329 ref nil cons cons 9358 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9328 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5860 remove 5169 ref appThm appThm 609 remove 8095 ref appThm 8096 ref appThm 9323 ref appThm appThm sym 611 remove 5248 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 9359 def nil 99 ref 9343 ref appTerm 9360 def thm nil 208 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 5863 ref 5108 ref appTerm 9361 def appTerm 615 ref 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 9362 def appTerm 9363 def absTerm 9364 def appTerm 9365 def absTerm 9366 def appTerm 9367 def absTerm 9368 def appTerm 9369 def absTerm 9370 def appTerm 9371 def absTerm 9372 def appTerm 9373 def absTerm 9374 def appTerm 9375 def absTerm 9376 def appTerm 9377 def absTerm 9378 def nil cons cons 9379 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9377 remove nil cons 9380 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9376 ref nil cons cons 9381 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9375 remove nil cons 9382 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9374 ref nil cons cons 9383 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9373 remove nil cons 9384 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9372 ref nil cons cons 9385 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9371 remove nil cons 9386 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9370 ref nil cons cons 9387 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9369 remove nil cons 9388 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9368 ref nil cons cons 9389 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9367 remove nil cons 9390 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9366 ref nil cons cons 9391 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9365 remove nil cons 9392 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9364 ref nil cons cons 9393 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9363 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 5880 remove 5169 ref appThm appThm 618 remove 8095 ref appThm 8096 ref appThm 9323 ref appThm appThm sym 620 remove 5248 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 9394 def nil 99 ref 9378 ref appTerm 9395 def thm nil 262 ref "wh" 11 ref var 9396 def 99 ref "wt" 2 ref var 9397 def 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 860 ref 1078 remove 242 ref 9396 ref varTerm 9398 def appTerm 9399 def appTerm 9397 ref varTerm 9400 def appTerm 9401 def appTerm 9402 def 2322 ref appTerm 9403 def 2369 ref appTerm 9404 def 2457 ref appTerm 9405 def appTerm 49 ref 5939 ref 9398 ref appTerm 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm 9406 def appTerm 860 ref 9400 ref appTerm 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm 9407 def appTerm 9408 def appTerm 9409 def absTerm 9410 def appTerm 9411 def absTerm 9412 def appTerm 9413 def absTerm 9414 def appTerm 9415 def absTerm 9416 def appTerm 9417 def absTerm 9418 def appTerm 9419 def absTerm 9420 def appTerm 9421 def absTerm 9422 def appTerm 9423 def absTerm 9424 def nil cons cons nil cons nil cons cons 663 ref subst 9396 ref nil 139 ref 9423 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9422 remove nil cons cons nil cons nil cons cons 643 ref subst 9397 ref nil 139 ref 9421 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9420 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 9419 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9418 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 9417 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9416 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 9415 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9414 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 9413 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 9412 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 9411 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 9410 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 9409 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9405 ref nil cons 9425 def cons 111 ref 9408 ref nil cons 9426 def cons nil cons cons nil cons cons 9427 def 335 ref subst 9427 ref 126 ref subst 9427 remove 194 ref subst 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 6776 ref 49 ref 72 ref 861 ref appTerm 74 ref appTerm 9428 def 9398 ref appTerm appTerm 4849 ref appTerm 9429 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9430 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 9402 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm 9431 def appTerm 9432 def 49 ref 72 remove 9401 ref appTerm 74 ref appTerm 9398 ref appTerm appTerm 9433 def 4849 remove appTerm 9434 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9435 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 9403 remove 41 ref appTerm 547 ref appTerm 9436 def appTerm 9437 def 9433 ref 4852 remove appTerm 9438 def appTerm absTerm appTerm absTerm appTerm absTerm 9439 def 2369 ref appTerm betaConv sym 542 ref 47 ref 66 ref 49 ref 9404 remove 547 ref appTerm 9440 def appTerm 9441 def 9433 ref 4856 remove appTerm 9442 def appTerm absTerm appTerm absTerm 9443 def 2457 ref appTerm betaConv sym 66 ref 49 ref 9405 ref appTerm 9444 def 9433 remove 4859 remove appTerm 9445 def appTerm absTerm 9446 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 9425 ref cons nil cons nil cons cons 146 ref subst 9405 ref assume eqMp 9447 def appThm 9448 def 216 ref nil 1170 remove 9398 ref nil cons 9449 def cons 29 ref 9400 ref nil cons 9450 def cons 9451 def 227 ref 9449 ref cons nil cons 9452 def cons cons nil cons cons 1330 remove subst nil 263 ref 9449 ref cons nil cons nil cons cons 1388 remove subst trans appThm 4867 remove appThm 528 ref trans 9453 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 9446 remove nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9443 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9439 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9435 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9430 ref nil cons cons 29 ref 9401 ref nil cons cons nil cons 9454 def cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 9430 remove appTerm nil cons cons 111 ref 9406 remove nil cons 9455 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 4869 remove 3244 remove 3243 remove "wi" 11 remove var 9456 def 9449 remove cons nil cons cons cons cons nil cons cons 9457 def 552 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 6776 ref 49 ref 9428 remove 9456 ref varTerm 9458 def appTerm appTerm 559 remove appTerm 9459 def appTerm 9460 def absTerm 9461 def appTerm 9462 def absTerm 9463 def appTerm 9464 def absTerm 9465 def appTerm 9466 def absTerm 9467 def appTerm 9468 def absTerm 9469 def appTerm 9470 def appTerm 9471 def 5939 remove 9458 ref appTerm 76 ref appTerm 81 ref appTerm 556 ref appTerm 9472 def appTerm 9473 def absTerm 9474 def 556 ref appTerm 9475 def betaConv 70 ref 68 ref 9474 ref appTerm 9476 def absTerm 9477 def 81 ref appTerm 9478 def betaConv 69 ref 68 ref 9477 ref appTerm 9479 def absTerm 9480 def 76 ref appTerm 9481 def betaConv 9456 ref 68 ref 9480 ref appTerm 9482 def absTerm 9483 def 9458 ref appTerm 9484 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 9456 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 9460 ref appTerm 9472 ref appTerm 9485 def absTerm 9486 def appTerm 9487 def absTerm 9488 def appTerm 9489 def absTerm 9490 def appTerm 9491 def absTerm 9492 def appTerm 9493 def absTerm 9494 def appTerm 9495 def absTerm 9496 def appTerm 9497 def absTerm 9498 def appTerm 9499 def absTerm 9500 def appTerm 9501 def absTerm 9502 def nil cons cons 9503 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 9501 remove nil cons 9504 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9500 ref nil cons cons 9505 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9499 remove nil cons 9506 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9498 ref nil cons cons 9507 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9497 remove nil cons 9508 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9496 ref nil cons cons 9509 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9495 remove nil cons 9510 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9494 ref nil cons cons 9511 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 9493 remove nil cons 9512 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9492 ref nil cons cons 9513 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 9491 remove nil cons 9514 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9490 ref nil cons cons 9515 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 9489 remove nil cons 9516 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9488 ref nil cons cons 9517 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 9487 remove nil cons 9518 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9486 ref nil cons cons 9519 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 9485 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 6776 ref refl 216 ref nil 227 ref 9458 ref nil cons 9520 def cons 9521 def 886 ref cons nil cons cons 266 ref subst appThm 216 ref 231 remove 266 ref subst appThm 216 ref 3841 remove 266 ref subst appThm 5227 remove 266 remove subst appThm appThm appThm 9522 def appThm appThm nil 2165 ref 597 remove cons 5454 remove 823 remove 9521 remove nil cons cons cons cons nil cons cons 9523 def 2165 ref 5951 remove 5938 remove appTerm 9524 def absTerm 9525 def 2168 ref appTerm 9526 def betaConv 1001 ref 68 ref 9525 ref appTerm 9527 def absTerm 9528 def 1002 ref appTerm 9529 def betaConv 263 ref 68 ref 9528 ref appTerm 9530 def absTerm 9531 def 627 ref appTerm 9532 def betaConv 227 ref 68 ref 9531 ref appTerm 9533 def absTerm 9534 def 233 ref appTerm 9535 def betaConv 225 ref 227 ref 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 9524 remove assume sym 5941 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm 6185 remove eqMp nil 110 ref 68 ref 9534 ref appTerm nil cons cons 111 ref 9535 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9534 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9533 remove nil cons cons 111 ref 9532 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9531 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9530 remove nil cons cons 111 ref 9529 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9528 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9527 remove nil cons cons 111 ref 9526 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 9525 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 9536 def subst appThm sym nil 110 ref 6776 ref 49 ref 235 ref 861 ref appTerm 9537 def 74 ref appTerm 9538 def 240 ref appTerm 242 ref 9458 ref appTerm 9539 def appTerm 9540 def appTerm 8753 remove 8756 remove 5066 remove 74 ref appTerm 9541 def 240 ref appTerm 242 remove 556 ref appTerm 9542 def appTerm 9543 def appTerm 9544 def appTerm 9545 def appTerm 9546 def appTerm nil cons 9547 def cons 111 ref 860 ref 9539 ref appTerm 8751 ref appTerm 8754 ref appTerm 9542 ref appTerm nil cons 9548 def cons nil cons 9549 def cons nil cons cons 9550 def 126 ref subst 9550 remove 194 ref subst nil 6794 remove 153 ref 9546 ref nil cons cons nil cons 9551 def cons nil cons cons 9552 def 167 ref subst 9552 remove 334 ref subst nil 151 ref 9540 ref nil cons 9553 def cons 153 ref 9545 remove nil cons cons nil cons cons nil cons cons 9554 def 167 ref subst 9555 def 9554 remove 334 ref subst 9556 def nil 151 ref 8752 ref nil cons 9557 def cons 153 ref 9544 remove nil cons cons nil cons cons nil cons cons 9558 def 167 ref subst 9559 def 9558 remove 334 ref subst 9560 def nil 151 ref 8755 ref nil cons 9561 def cons 153 ref 9543 ref nil cons 9562 def cons nil cons cons nil cons cons 9563 def 167 ref subst 9564 def 9563 remove 334 ref subst 9565 def 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6776 ref 49 ref 9537 remove 275 ref appTerm 57 ref appTerm 9566 def 9539 ref appTerm appTerm 49 ref 699 ref 8751 ref appTerm appTerm 49 ref 1262 ref 8754 ref appTerm appTerm 5067 ref 9542 ref appTerm appTerm appTerm appTerm 9567 def appTerm absTerm appTerm absTerm 9568 def appTerm absTerm 9569 def appTerm absTerm 9570 def appTerm absTerm 9571 def appTerm absTerm 9572 def 861 ref appTerm betaConv sym 9571 ref 39 ref appTerm betaConv sym 9570 ref 41 ref appTerm betaConv sym 9569 ref 547 ref appTerm betaConv sym 9568 ref 74 ref appTerm betaConv sym 48 ref 6776 ref 49 ref 9538 remove 57 ref appTerm 9539 ref appTerm appTerm 49 ref 702 remove 8751 ref appTerm appTerm 49 ref 8771 remove 8754 ref appTerm appTerm 9541 remove 57 ref appTerm 9542 ref appTerm appTerm appTerm appTerm 9573 def appTerm absTerm 9574 def 240 ref appTerm betaConv sym 216 ref 6937 remove appThm 216 ref nil 139 ref 9553 remove cons nil cons nil cons cons 146 ref subst 9540 remove assume eqMp appThm 216 ref nil 139 ref 9557 remove cons nil cons nil cons cons 146 ref subst 8752 remove assume eqMp appThm 216 ref nil 139 ref 9561 remove cons nil cons nil cons cons 146 ref subst 8755 remove assume eqMp appThm nil 139 ref 9562 remove cons nil cons nil cons cons 146 ref subst 9543 remove assume eqMp appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans 9575 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 9574 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 9568 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9569 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9570 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9571 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9572 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 9572 remove appTerm nil cons cons 9549 remove cons nil cons cons 175 ref subst proveHyp nil 5102 ref 9542 ref nil cons cons 3513 ref 8784 remove cons 3515 ref 8783 remove cons "ws" 2 ref var 9576 def 9539 ref nil cons cons nil cons cons cons cons nil cons cons 9577 def 5102 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6776 ref 49 ref 9566 ref 9576 ref varTerm 9578 def appTerm 9579 def appTerm 9580 def 5108 ref appTerm 9581 def appTerm 9582 def absTerm 9583 def appTerm 9584 def absTerm 9585 def appTerm 9586 def absTerm 9587 def appTerm 9588 def absTerm 9589 def appTerm 9590 def absTerm 9591 def appTerm 9592 def absTerm 9593 def appTerm 9594 def appTerm 9595 def 860 remove 9578 ref appTerm 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 9596 def appTerm 9597 def absTerm 9598 def 5105 ref appTerm 9599 def betaConv 3513 ref 99 ref 9598 ref appTerm 9600 def absTerm 9601 def 3521 ref appTerm 9602 def betaConv 3515 ref 99 ref 9601 ref appTerm 9603 def absTerm 9604 def 3518 ref appTerm 9605 def betaConv 9576 ref 99 ref 9604 ref appTerm 9606 def absTerm 9607 def 9578 ref appTerm 9608 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 9576 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 9582 ref appTerm 9596 ref appTerm 9609 def absTerm 9610 def appTerm 9611 def absTerm 9612 def appTerm 9613 def absTerm 9614 def appTerm 9615 def absTerm 9616 def appTerm 9617 def absTerm 9618 def appTerm 9619 def absTerm 9620 def appTerm 9621 def absTerm 9622 def appTerm 9623 def absTerm 9624 def appTerm 9625 def absTerm 9626 def appTerm 9627 def absTerm 9628 def nil cons cons 9629 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 9627 remove nil cons 9630 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9626 ref nil cons cons 9631 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9625 remove nil cons 9632 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9624 ref nil cons cons 9633 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9623 remove nil cons 9634 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9622 ref nil cons cons 9635 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9621 remove nil cons 9636 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9620 ref nil cons cons 9637 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9619 remove nil cons 9638 def cons nil cons nil cons cons 146 ref subst nil 257 ref 9618 ref nil cons cons 9639 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9617 remove nil cons 9640 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9616 ref nil cons cons 9641 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 9615 remove nil cons 9642 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9614 ref nil cons cons 9643 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9613 remove nil cons 9644 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9612 ref nil cons cons 9645 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9611 remove nil cons 9646 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9610 ref nil cons cons 9647 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9609 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 887 ref appThm 9581 ref refl 9648 def appThm appThm nil 5171 remove 3573 remove 3575 remove 857 ref 9578 ref nil cons 9649 def cons nil cons cons cons cons nil cons cons 9650 def 887 remove subst appThm sym nil 110 ref 49 ref 873 ref appTerm 9581 ref appTerm nil cons 9651 def cons 111 ref 725 ref 863 ref 49 ref 532 ref 9578 ref appTerm 9652 def 3518 ref appTerm 9653 def 866 ref appTerm appTerm 9654 def 869 remove 3521 ref appTerm 5105 ref appTerm appTerm absTerm 9655 def appTerm 9656 def nil cons 9657 def cons nil cons 9658 def cons nil cons cons 9659 def 126 ref subst 9659 remove 194 ref subst nil 151 ref 873 remove nil cons 9660 def cons 153 ref 9581 ref nil cons cons nil cons 9661 def cons nil cons cons 9662 def 167 ref subst 9662 remove 334 ref subst nil 110 ref 9660 remove cons 9658 ref cons nil cons cons 175 ref subst nil 208 ref 863 ref 6809 remove 9656 ref appTerm 9663 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 9663 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6812 remove 9658 ref cons nil cons cons 9664 def 126 ref subst 9664 remove 194 ref subst 6817 remove nil 6819 remove 9658 ref cons nil cons cons 9665 def 175 ref subst proveHyp 9665 ref 126 ref subst 9665 remove 194 ref subst 6825 remove 6826 remove nil 151 ref 9579 ref nil cons 9666 def cons 5193 remove cons nil cons cons 9667 def 167 ref subst 9668 def 9667 remove 334 ref subst 9669 def 5205 ref 5206 ref 5209 ref 5210 ref 48 ref 71 ref 1800 ref 6851 ref appTerm 9670 def appTerm 725 ref 26 ref 235 ref 866 ref appTerm 275 ref appTerm 57 ref appTerm 9671 def 41 ref appTerm absTerm 9672 def appTerm 9673 def appTerm 9674 def absTerm 9675 def 57 ref appTerm 9676 def betaConv 271 ref 65 ref 9675 ref appTerm 9677 def absTerm 9678 def 275 ref appTerm 9679 def betaConv 2087 ref 866 ref appTerm 9680 def betaConv 2090 ref nil 2091 ref 111 ref 9680 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2092 ref 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 9678 ref appTerm nil cons cons 111 ref 9679 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9678 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9677 remove nil cons cons 111 ref 9676 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9675 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp 9681 def nil 110 ref 9674 ref nil cons cons 9682 def 9658 ref cons nil cons cons 175 ref subst proveHyp 48 ref 71 ref 868 ref 6779 ref appTerm appTerm 6853 ref appTerm absTerm 9683 def 6777 ref appTerm 9684 def betaConv 542 ref 65 ref 48 ref 71 ref 49 ref 6827 remove appTerm 9685 def 6779 ref appTerm appTerm 550 ref appTerm absTerm appTerm absTerm 9686 def 866 ref appTerm 9687 def betaConv 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 6831 remove appTerm 9688 def 6779 ref appTerm appTerm 550 ref appTerm absTerm appTerm absTerm 9689 def appTerm 9690 def absTerm 9691 def 39 ref appTerm 9692 def betaConv 5795 remove 861 ref appTerm 9693 def betaConv 5841 remove nil 6025 remove 111 ref 9693 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5796 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp 9694 def nil 110 ref 99 ref 9691 ref appTerm nil cons cons 9695 def 111 ref 9692 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9691 ref nil cons cons 9696 def 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 9686 ref appTerm nil cons cons 111 ref 9687 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9686 remove nil cons cons 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 9683 ref appTerm nil cons cons 111 ref 9684 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9683 remove nil cons cons 7115 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 868 ref 7110 ref appTerm appTerm 7360 ref appTerm nil cons cons 111 ref 9670 ref nil cons 9697 def cons nil cons 9698 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7359 remove appThm 7360 ref refl 9699 def appThm nil 139 ref 7361 ref cons nil cons nil cons cons 840 ref subst 9700 def trans appThm 9670 ref refl 9701 def appThm sym nil 110 ref 7361 ref cons 9698 ref cons nil cons cons 9702 def 126 ref subst 9702 remove 194 ref subst 36 ref "_32172" 44 ref var 9703 def 1800 ref 9703 remove varTerm appTerm absTerm 9704 def 6851 remove appTerm 9705 def appTerm refl 9704 ref 6777 ref appTerm betaConv 9706 def appThm 155 ref 9705 remove betaConv appThm 1800 ref 6777 ref appTerm 9707 def refl 9708 def appThm trans 9704 remove refl 9709 def 7365 remove appThm eqMp sym 26 ref 9566 ref 41 ref appTerm absTerm 9710 def 9578 ref appTerm betaConv sym 9579 remove assume 9711 def eqMp 207 ref 208 ref 9710 ref nil cons cons 29 ref 9649 ref cons nil cons 9712 def cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 9710 remove appTerm nil cons cons 111 ref 9707 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 886 ref nil cons cons 2066 ref subst eqMp 9713 def eqMp eqMp nil 151 ref 7361 remove cons 153 ref 9697 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp 9714 def eqMp eqMp 9715 def nil 110 ref 9697 remove cons 9716 def 111 ref 71 ref 9673 ref appTerm 9717 def 9656 ref appTerm 9718 def nil cons cons nil cons 9719 def cons nil cons cons 194 ref subst proveHyp nil 208 ref "wxs" 2 ref var 9720 def 71 ref 9672 ref 9720 ref varTerm 9721 def appTerm 9722 def appTerm 9723 def 9656 ref appTerm 9724 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 9720 ref nil 139 ref 9724 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9722 ref nil cons 9725 def cons 9726 def 9658 ref cons nil cons cons 9727 def 126 ref subst 9727 remove 194 ref subst 9722 ref betaConv 9722 remove assume eqMp 9728 def nil 110 ref 9671 remove 9721 ref appTerm 9729 def nil cons 9730 def cons 9731 def 9658 remove cons nil cons cons 9732 def 175 ref subst proveHyp 9732 ref 126 ref subst 9732 remove 194 ref subst 9655 ref 9721 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5786 ref 49 ref 699 ref 9578 ref appTerm appTerm 9733 def 49 ref 1262 ref 3518 ref appTerm appTerm 5067 ref 9721 ref appTerm 9734 def appTerm 9735 def appTerm 9736 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9737 def 861 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9688 ref 9580 ref 9735 remove appTerm 9738 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9739 def 39 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 9685 remove 9580 ref 3520 ref 9734 remove appTerm appTerm 9740 def appTerm absTerm appTerm absTerm appTerm absTerm 9741 def 866 ref appTerm betaConv sym 271 ref 47 ref 48 ref 868 remove 9580 ref 3520 ref 9729 ref appTerm appTerm 9742 def appTerm absTerm 9743 def appTerm absTerm 9744 def 275 ref appTerm betaConv sym 9743 ref 57 ref appTerm betaConv sym 7358 remove 216 ref nil 139 ref 9666 remove cons nil cons nil cons cons 146 ref subst 9711 remove eqMp appThm 9745 def 3682 ref nil 139 ref 9730 ref cons nil cons nil cons cons 146 ref subst 9729 ref assume eqMp 9746 def appThm 528 ref trans appThm 528 ref trans 9747 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 9743 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 9744 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9741 remove nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9739 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9737 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 9737 remove appTerm nil cons cons 111 ref 9653 remove 9721 ref appTerm 9748 def nil cons 9749 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 5102 ref 9721 ref nil cons 9750 def cons 3513 ref 3574 remove cons 3515 ref 9649 remove cons nil cons 9751 def cons cons nil cons cons 9752 def 5102 ref 71 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9289 ref absTerm 9753 def appTerm 9754 def absTerm 9755 def appTerm 9756 def absTerm 9757 def appTerm 9758 def absTerm 9759 def appTerm 9760 def absTerm 9761 def appTerm 9762 def appTerm 9763 def 9291 ref appTerm 9764 def absTerm 9765 def 5105 ref appTerm 9766 def betaConv 3513 ref 99 ref 9765 ref appTerm 9767 def absTerm 9768 def 3521 ref appTerm 9769 def betaConv 3515 ref 99 ref 9768 ref appTerm 9770 def absTerm 9771 def 3518 ref appTerm 9772 def betaConv 9324 remove nil 110 ref 9325 ref nil cons 9773 def cons 9774 def 111 ref 99 ref 9771 ref appTerm nil cons 9775 def cons nil cons cons nil cons cons 9776 def 175 ref subst proveHyp 9776 ref 126 ref subst 9776 remove 194 ref subst nil 208 ref 9771 remove nil cons cons 9777 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9770 remove nil cons 9778 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9768 remove nil cons cons 9779 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9767 remove nil cons 9780 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9765 remove nil cons cons 9781 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9764 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9762 remove nil cons 9782 def cons 9783 def 111 ref 9291 ref nil cons 9784 def cons nil cons 9785 def cons nil cons cons 9786 def 126 ref subst 9786 remove 194 ref subst nil 9774 ref 9785 ref cons nil cons cons 9787 def 175 ref subst nil 9783 remove 111 ref 71 ref 9325 remove appTerm 9291 remove appTerm 9788 def nil cons 9789 def cons nil cons 9790 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 9761 ref 39 ref appTerm 9791 def appTerm 9788 ref appTerm 9792 def absTerm 9793 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9792 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9791 ref nil cons 9794 def cons 9790 ref cons nil cons cons 9795 def 126 ref subst 9795 remove 194 ref subst 9791 ref betaConv 9791 remove assume eqMp nil 110 ref 9760 ref nil cons cons 9790 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 9759 ref 41 ref appTerm 9796 def appTerm 9788 ref appTerm 9797 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9797 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9796 ref nil cons 9798 def cons 9790 ref cons nil cons cons 9799 def 126 ref subst 9799 remove 194 ref subst 9796 ref betaConv 9796 remove assume eqMp nil 110 ref 9758 ref nil cons cons 9790 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 9757 ref 547 ref appTerm 9800 def appTerm 9788 ref appTerm 9801 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9801 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9800 ref nil cons 9802 def cons 9790 ref cons nil cons cons 9803 def 126 ref subst 9803 remove 194 ref subst 9800 ref betaConv 9800 remove assume eqMp nil 110 ref 9756 ref nil cons cons 9790 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 9755 ref 275 ref appTerm 9804 def appTerm 9788 ref appTerm 9805 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9805 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9804 ref nil cons 9806 def cons 9790 ref cons nil cons cons 9807 def 126 ref subst 9807 remove 194 ref subst 9804 ref betaConv 9804 remove assume eqMp nil 110 ref 9754 ref nil cons cons 9790 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 9753 ref 57 ref appTerm 9808 def appTerm 9788 ref appTerm 9809 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9809 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9808 ref nil cons 9810 def cons 9790 ref cons nil cons cons 9811 def 126 ref subst 9811 remove 194 ref subst 9808 ref betaConv 9808 remove assume eqMp nil 110 ref 9289 remove nil cons 9812 def cons 9813 def 9790 remove cons nil cons cons 9814 def 175 ref subst proveHyp 9814 ref 126 ref subst 9814 remove 194 ref subst 9787 ref 126 ref subst 9787 remove 194 ref subst nil 9813 remove 9785 remove cons nil cons cons 175 ref subst 9293 remove 5105 ref appTerm 9815 def betaConv 9295 remove 3521 ref appTerm 9816 def betaConv 9297 remove 3518 ref appTerm 9817 def betaConv 9299 remove 57 ref appTerm 9818 def betaConv 9301 remove 275 ref appTerm 9819 def betaConv 9303 remove 547 ref appTerm 9820 def betaConv 9305 remove 41 ref appTerm 9821 def betaConv 9307 remove 39 ref appTerm 9822 def betaConv nil 9774 remove 111 ref 9822 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 9308 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9309 remove cons 111 ref 9821 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9310 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9311 remove cons 111 ref 9820 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9312 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9313 remove cons 111 ref 9819 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9314 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9315 remove cons 111 ref 9818 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9316 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9317 remove cons 111 ref 9817 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9318 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9319 remove cons 111 ref 9816 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9320 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9321 remove cons 111 ref 9815 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9322 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9773 remove cons 9823 def 153 ref 9784 remove cons nil cons 9824 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 9812 remove cons 153 ref 9789 remove cons nil cons 9825 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9810 remove cons 9825 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9753 ref 797 ref appTerm appTerm 9788 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9754 remove appTerm 9788 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9753 remove nil cons cons 9825 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9806 remove cons 9825 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9755 ref 797 ref appTerm appTerm 9788 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9756 remove appTerm 9788 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9755 remove nil cons cons 9825 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9802 remove cons 9825 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9757 ref 1893 ref appTerm appTerm 9788 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9758 remove appTerm 9788 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9757 remove nil cons cons 9825 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9798 remove cons 9825 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9759 ref 1893 ref appTerm appTerm 9788 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9760 remove appTerm 9788 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9759 remove nil cons cons 9825 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9794 remove cons 9825 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 9793 remove appTerm nil cons cons 111 ref 9763 remove 9788 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9761 remove nil cons cons 9825 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9782 remove cons 9824 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9823 remove 153 ref 9775 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 9775 remove cons 111 ref 9772 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9777 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9778 remove cons 111 ref 9769 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9779 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9780 remove cons 111 ref 9766 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9781 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 9826 def subst eqMp 9827 def nil 110 ref 9749 remove cons 9828 def 111 ref 532 remove 9721 ref appTerm 3521 ref appTerm 5105 ref appTerm nil cons cons nil cons 9829 def cons nil cons cons 194 ref subst proveHyp 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5786 ref 49 ref 699 ref 9721 ref appTerm appTerm 5107 ref appTerm 9830 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9831 def 866 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 870 remove appTerm 49 ref 9729 remove appTerm 9832 def 5107 remove appTerm 9833 def appTerm absTerm 9834 def appTerm absTerm 9835 def appTerm absTerm 9836 def appTerm absTerm 9837 def 41 ref appTerm betaConv sym 9836 ref 547 ref appTerm betaConv sym 9835 ref 275 ref appTerm betaConv sym 9834 ref 57 ref appTerm betaConv sym 216 ref 6906 remove appThm 216 ref 9746 remove appThm 9838 def 3839 ref 5225 ref appThm 528 ref trans appThm 528 ref trans 9839 def appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 9834 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 9835 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9836 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9837 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 9831 ref nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 9831 remove appTerm nil cons cons 9829 remove cons nil cons cons 175 ref subst proveHyp nil 3515 ref 9750 ref cons nil cons nil cons cons 9840 def 9826 ref subst eqMp eqMp eqMp 207 ref 208 ref 9655 remove nil cons cons 29 ref 9750 ref cons nil cons 9841 def cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 9730 remove cons 9842 def 153 ref 9657 ref cons nil cons 9843 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9725 remove cons 9844 def 9843 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9672 ref 39 ref appTerm appTerm 9845 def 9656 ref appTerm absTerm appTerm nil cons cons 9719 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9672 remove nil cons cons 9846 def 9843 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 49 ref 9670 remove appTerm 9847 def 9718 remove appTerm nil cons cons 111 ref 71 ref 9674 remove appTerm 9848 def 9656 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 9657 remove cons 111 ref 9673 remove nil cons cons 9716 ref nil cons cons 9849 def cons nil cons cons 4271 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 6927 remove 9843 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 6928 remove 9843 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 6929 remove 9656 ref appTerm absTerm appTerm nil cons cons 111 ref 6930 remove 9656 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 6931 remove 9843 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 9651 remove cons 9843 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 9850 def nil 110 ref 99 ref 9628 ref appTerm 9851 def nil cons 9852 def cons 9853 def 111 ref 99 ref 9607 ref appTerm nil cons 9854 def cons nil cons cons nil cons cons 9855 def 175 ref subst proveHyp 9855 ref 126 ref subst 9855 remove 194 ref subst nil 208 ref 9607 remove nil cons cons 9856 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 9606 remove nil cons 9857 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9604 remove nil cons cons 9858 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 9603 remove nil cons 9859 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9601 remove nil cons cons 9860 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 9600 remove nil cons 9861 def cons nil cons nil cons cons 146 ref subst nil 208 ref 9598 remove nil cons cons 9862 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 9597 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9594 remove nil cons 9863 def cons 9864 def 111 ref 9596 ref nil cons 9865 def cons nil cons 9866 def cons nil cons cons 9867 def 126 ref subst 9867 remove 194 ref subst nil 9853 ref 9866 ref cons nil cons cons 9868 def 175 ref subst nil 9864 remove 111 ref 71 ref 9851 ref appTerm 9596 remove appTerm 9869 def nil cons 9870 def cons nil cons 9871 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 9593 ref 861 ref appTerm 9872 def appTerm 9869 ref appTerm 9873 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 9873 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9872 ref nil cons 9874 def cons 9871 ref cons nil cons cons 9875 def 126 ref subst 9875 remove 194 ref subst 9872 ref betaConv 9872 remove assume eqMp nil 110 ref 9592 ref nil cons cons 9871 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 9591 ref 39 ref appTerm 9876 def appTerm 9869 ref appTerm 9877 def absTerm 9878 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9877 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9876 ref nil cons 9879 def cons 9871 ref cons nil cons cons 9880 def 126 ref subst 9880 remove 194 ref subst 9876 ref betaConv 9876 remove assume eqMp nil 110 ref 9590 ref nil cons cons 9871 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 9589 ref 41 ref appTerm 9881 def appTerm 9869 ref appTerm 9882 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9882 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9881 ref nil cons 9883 def cons 9871 ref cons nil cons cons 9884 def 126 ref subst 9884 remove 194 ref subst 9881 ref betaConv 9881 remove assume eqMp nil 110 ref 9588 ref nil cons cons 9871 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 9587 ref 547 ref appTerm 9885 def appTerm 9869 ref appTerm 9886 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9886 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9885 ref nil cons 9887 def cons 9871 ref cons nil cons cons 9888 def 126 ref subst 9888 remove 194 ref subst 9885 ref betaConv 9885 remove assume eqMp nil 110 ref 9586 ref nil cons cons 9871 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 9585 ref 275 ref appTerm 9889 def appTerm 9869 ref appTerm 9890 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 9890 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9889 ref nil cons 9891 def cons 9871 ref cons nil cons cons 9892 def 126 ref subst 9892 remove 194 ref subst 9889 ref betaConv 9889 remove assume eqMp nil 110 ref 9584 ref nil cons cons 9871 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 9583 ref 57 ref appTerm 9893 def appTerm 9869 ref appTerm 9894 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 9894 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9893 ref nil cons 9895 def cons 9871 ref cons nil cons cons 9896 def 126 ref subst 9896 remove 194 ref subst 9893 ref betaConv 9893 remove assume eqMp nil 110 ref 9582 remove nil cons 9897 def cons 9898 def 9871 remove cons nil cons cons 9899 def 175 ref subst proveHyp 9899 ref 126 ref subst 9899 remove 194 ref subst 9868 ref 126 ref subst 9868 remove 194 ref subst nil 9898 remove 9866 remove cons nil cons cons 175 ref subst 9610 remove 5105 ref appTerm 9900 def betaConv 9612 remove 3521 ref appTerm 9901 def betaConv 9614 remove 3518 ref appTerm 9902 def betaConv 9616 remove 9578 ref appTerm 9903 def betaConv 9618 remove 57 ref appTerm 9904 def betaConv 9620 remove 275 ref appTerm 9905 def betaConv 9622 remove 547 ref appTerm 9906 def betaConv 9624 remove 41 ref appTerm 9907 def betaConv 9626 remove 39 ref appTerm 9908 def betaConv 9628 remove 861 ref appTerm 9909 def betaConv nil 9853 remove 111 ref 9909 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 9629 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9630 remove cons 111 ref 9908 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9631 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9632 remove cons 111 ref 9907 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9633 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9634 remove cons 111 ref 9906 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9635 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9636 remove cons 111 ref 9905 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9637 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9638 remove cons 111 ref 9904 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9639 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9640 remove cons 111 ref 9903 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9641 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9642 remove cons 111 ref 9902 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9643 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9644 remove cons 111 ref 9901 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9645 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9646 remove cons 111 ref 9900 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9647 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9852 remove cons 9910 def 153 ref 9865 remove cons nil cons 9911 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 9897 remove cons 153 ref 9870 remove cons nil cons 9912 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9895 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9583 ref 797 ref appTerm appTerm 9869 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9584 remove appTerm 9869 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9583 remove nil cons cons 9912 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9891 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9585 ref 797 ref appTerm appTerm 9869 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9586 remove appTerm 9869 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9585 remove nil cons cons 9912 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9887 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9587 ref 1893 ref appTerm appTerm 9869 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9588 remove appTerm 9869 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9587 remove nil cons cons 9912 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9883 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9589 ref 1893 ref appTerm appTerm 9869 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9590 remove appTerm 9869 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9589 remove nil cons cons 9912 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9879 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 9878 remove appTerm nil cons cons 111 ref 71 ref 9592 remove appTerm 9869 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9591 remove nil cons cons 9912 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9874 remove cons 9912 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9593 ref 39 ref appTerm appTerm 9869 ref appTerm absTerm appTerm nil cons cons 111 ref 9595 remove 9869 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9593 remove nil cons cons 9912 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9863 remove cons 9911 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9910 remove 153 ref 9854 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 9854 remove cons 111 ref 9608 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9856 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9857 remove cons 111 ref 9605 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9858 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9859 remove cons 111 ref 9602 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9860 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9861 remove cons 111 ref 9599 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9862 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 9913 def subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 9547 remove cons 153 ref 9548 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 9914 def nil 110 ref 99 ref 9502 ref appTerm 9915 def nil cons 9916 def cons 9917 def 111 ref 68 ref 9483 ref appTerm nil cons 9918 def cons nil cons cons nil cons cons 9919 def 175 ref subst proveHyp 9919 ref 126 ref subst 9919 remove 194 ref subst nil 262 ref 9483 remove nil cons cons 9920 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 9482 remove nil cons 9921 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9480 remove nil cons cons 9922 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 9479 remove nil cons 9923 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9477 remove nil cons cons 9924 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 9476 remove nil cons 9925 def cons nil cons nil cons cons 146 ref subst nil 262 ref 9474 remove nil cons cons 9926 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 9473 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9470 remove nil cons 9927 def cons 9928 def 111 ref 9472 ref nil cons 9929 def cons nil cons 9930 def cons nil cons cons 9931 def 126 ref subst 9931 remove 194 ref subst nil 9917 ref 9930 ref cons nil cons cons 9932 def 175 ref subst nil 9928 remove 111 ref 71 ref 9915 ref appTerm 9472 remove appTerm 9933 def nil cons 9934 def cons nil cons 9935 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 9469 ref 861 ref appTerm 9936 def appTerm 9933 ref appTerm 9937 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 9937 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9936 ref nil cons 9938 def cons 9935 ref cons nil cons cons 9939 def 126 ref subst 9939 remove 194 ref subst 9936 ref betaConv 9936 remove assume eqMp nil 110 ref 9468 ref nil cons cons 9935 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 9467 ref 39 ref appTerm 9940 def appTerm 9933 ref appTerm 9941 def absTerm 9942 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 9941 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9940 ref nil cons 9943 def cons 9935 ref cons nil cons cons 9944 def 126 ref subst 9944 remove 194 ref subst 9940 ref betaConv 9940 remove assume eqMp nil 110 ref 9466 ref nil cons cons 9935 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 9465 ref 41 ref appTerm 9945 def appTerm 9933 ref appTerm 9946 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 9946 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9945 ref nil cons 9947 def cons 9935 ref cons nil cons cons 9948 def 126 ref subst 9948 remove 194 ref subst 9945 ref betaConv 9945 remove assume eqMp nil 110 ref 9464 ref nil cons cons 9935 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 9463 ref 547 ref appTerm 9949 def appTerm 9933 ref appTerm 9950 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 9950 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9949 ref nil cons 9951 def cons 9935 ref cons nil cons cons 9952 def 126 ref subst 9952 remove 194 ref subst 9949 ref betaConv 9949 remove assume eqMp nil 110 ref 9462 ref nil cons cons 9935 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 9461 ref 74 ref appTerm 9953 def appTerm 9933 ref appTerm 9954 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 9954 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 9953 ref nil cons 9955 def cons 9935 ref cons nil cons cons 9956 def 126 ref subst 9956 remove 194 ref subst 9953 ref betaConv 9953 remove assume eqMp nil 110 ref 9460 remove nil cons 9957 def cons 9958 def 9935 remove cons nil cons cons 9959 def 175 ref subst proveHyp 9959 ref 126 ref subst 9959 remove 194 ref subst 9932 ref 126 ref subst 9932 remove 194 ref subst nil 9958 remove 9930 remove cons nil cons cons 175 ref subst 9486 remove 556 ref appTerm 9960 def betaConv 9488 remove 81 ref appTerm 9961 def betaConv 9490 remove 76 ref appTerm 9962 def betaConv 9492 remove 9458 ref appTerm 9963 def betaConv 9494 remove 74 ref appTerm 9964 def betaConv 9496 remove 547 ref appTerm 9965 def betaConv 9498 remove 41 ref appTerm 9966 def betaConv 9500 remove 39 ref appTerm 9967 def betaConv 9502 remove 861 ref appTerm 9968 def betaConv nil 9917 remove 111 ref 9968 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 9503 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9504 remove cons 111 ref 9967 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9505 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9506 remove cons 111 ref 9966 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9507 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9508 remove cons 111 ref 9965 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9509 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9510 remove cons 111 ref 9964 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9511 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9512 remove cons 111 ref 9963 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9513 remove 263 ref 9520 remove cons nil cons 9969 def cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9514 remove cons 111 ref 9962 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9515 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9516 remove cons 111 ref 9961 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9517 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9518 remove cons 111 ref 9960 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9519 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9916 remove cons 9970 def 153 ref 9929 remove cons nil cons 9971 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 9957 remove cons 153 ref 9934 remove cons nil cons 9972 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 9955 remove cons 9972 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9461 ref 797 ref appTerm appTerm 9933 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9462 remove appTerm 9933 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9461 remove nil cons cons 9972 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9951 remove cons 9972 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9463 ref 1893 ref appTerm appTerm 9933 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9464 remove appTerm 9933 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9463 remove nil cons cons 9972 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9947 remove cons 9972 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 9465 ref 1893 ref appTerm appTerm 9933 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9466 remove appTerm 9933 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9465 remove nil cons cons 9972 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9943 remove cons 9972 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 9942 remove appTerm nil cons cons 111 ref 71 ref 9468 remove appTerm 9933 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9467 remove nil cons cons 9972 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 9938 remove cons 9972 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 9469 ref 39 ref appTerm appTerm 9933 ref appTerm absTerm appTerm nil cons cons 111 ref 9471 remove 9933 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9469 remove nil cons cons 9972 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 9927 remove cons 9971 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9970 remove 153 ref 9918 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 9918 remove cons 111 ref 9484 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9920 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9921 remove cons 111 ref 9481 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9922 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9923 remove cons 111 ref 9478 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9924 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9925 remove cons 111 ref 9475 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 9926 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 9455 remove cons 111 ref 9407 ref nil cons 9973 def cons nil cons 9974 def cons nil cons cons 194 ref subst proveHyp 542 ref 71 ref 9440 remove appTerm 47 ref 48 ref 49 ref 52 ref 54 ref 9401 ref appTerm appTerm 57 ref appTerm appTerm 9975 def 4999 remove appTerm absTerm appTerm 9976 def appTerm absTerm 9977 def 2457 ref appTerm 9978 def betaConv 26 ref 99 ref 542 ref 71 ref 9436 remove appTerm 47 ref 48 ref 9975 ref 5003 remove appTerm absTerm appTerm 9979 def appTerm absTerm appTerm absTerm 9980 def 2369 ref appTerm 9981 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 9431 remove appTerm 47 ref 48 ref 9975 ref 4659 remove appTerm absTerm appTerm 9982 def appTerm absTerm appTerm absTerm appTerm absTerm 9983 def 2322 ref appTerm 9984 def betaConv 8574 remove 9401 ref appTerm 9985 def betaConv 8576 remove nil 110 ref 8577 remove nil cons cons 111 ref 9985 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8575 remove 9454 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 9983 ref appTerm nil cons cons 111 ref 9984 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9983 remove nil cons cons 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 9980 ref appTerm nil cons cons 111 ref 9981 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9980 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 9977 ref appTerm nil cons cons 111 ref 9978 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9977 remove nil cons cons 2744 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 9405 ref appTerm 9986 def 47 ref 48 ref 9975 remove 5020 remove appTerm absTerm appTerm 9987 def appTerm nil cons cons 9974 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 9447 remove appThm 215 remove 48 ref 216 ref 217 remove nil 26 ref 9450 ref cons 29 ref 9399 ref nil cons 9988 def cons nil cons cons 9989 def nil cons cons 1580 remove subst 1288 remove nil 9452 ref nil cons cons 1162 remove subst 9990 def 306 remove trans appThm 54 ref 9400 ref appTerm 9991 def refl appThm nil 48 ref 9991 ref nil cons 9992 def cons 9993 def 3370 remove cons nil cons cons 3378 remove subst 305 remove nil 9993 remove nil cons nil cons cons 9994 def 3383 remove subst appThm trans trans trans appThm 222 remove appThm appThm 5027 remove appThm absThm appThm 9995 def appThm nil 139 ref 47 ref 48 ref 49 ref 52 ref 300 remove 9991 ref appTerm appTerm 9996 def 57 ref appTerm appTerm 5029 remove appTerm absTerm 9997 def appTerm 9998 def nil cons cons nil cons nil cons cons 840 ref subst 9999 def trans appThm 9407 ref refl 10000 def appThm sym nil 257 ref 493 ref 71 ref 9997 ref 496 ref appTerm 10001 def appTerm 10002 def 9407 ref appTerm 10003 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 10003 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10001 ref nil cons 10004 def cons 10005 def 9974 ref cons nil cons cons 10006 def 126 ref subst 10006 remove 194 ref subst 10001 ref betaConv 10001 remove assume eqMp 10007 def nil 110 ref 49 ref 9996 ref 496 ref appTerm appTerm 5037 remove appTerm 10008 def nil cons cons 10009 def 9974 ref cons nil cons cons 175 ref subst proveHyp 3408 ref nil 3410 ref 111 ref 71 ref 10008 remove appTerm 10010 def 9407 ref appTerm 10011 def nil cons 10012 def cons nil cons 10013 def cons nil cons cons 10014 def 175 ref subst proveHyp 10014 ref 126 ref subst 10014 remove 194 ref subst nil 257 ref 48 ref 3416 ref 10011 ref appTerm 10015 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10015 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3419 ref 10013 ref cons nil cons cons 10016 def 126 ref subst 10016 remove 194 ref subst 3421 ref nil 3423 ref 10013 ref cons nil cons cons 10017 def 175 ref subst proveHyp 10017 ref 126 ref subst 10017 remove 194 ref subst 36 ref "_32176" 44 ref var 10018 def 71 ref 49 ref 9996 ref 10018 remove varTerm 10019 def appTerm appTerm 49 ref 3393 ref 10019 ref appTerm appTerm 49 ref 3395 ref 10019 ref appTerm appTerm 5028 ref 10019 remove appTerm appTerm appTerm appTerm appTerm 9407 ref appTerm absTerm 10020 def 496 ref appTerm 10021 def appTerm refl 10022 def 10020 ref 309 ref appTerm betaConv appThm 155 ref 10021 remove betaConv appThm 10023 def 71 ref 49 ref 9996 ref 309 ref appTerm appTerm 5051 remove appTerm appTerm 10024 def 9407 ref appTerm refl appThm trans 10020 remove refl 10025 def 3434 ref appThm eqMp sym 226 ref 216 ref nil 493 ref 9992 remove cons nil cons nil cons cons 3443 remove subst appThm 5053 remove appThm appThm 10026 def 10000 ref appThm sym nil 110 ref 49 ref 52 ref 9991 ref appTerm 57 ref appTerm 10027 def appTerm 5056 remove appTerm nil cons 10028 def cons 10029 def 9974 ref cons nil cons cons 10030 def 126 ref subst 10030 remove 194 ref subst nil 151 ref 10027 ref nil cons cons 153 ref 5057 remove cons nil cons cons nil cons cons 10031 def 167 ref subst 10032 def 10031 remove 334 ref subst 10033 def 5060 ref 5061 ref 5064 ref 5065 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6776 remove 49 ref 9566 ref 9400 ref appTerm appTerm 5070 ref appTerm 10034 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10035 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9432 remove 49 ref 235 ref 9401 ref appTerm 10036 def 275 ref appTerm 57 ref appTerm 9400 ref appTerm appTerm 10037 def 5070 remove appTerm 10038 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10039 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9437 remove 10037 ref 5072 remove appTerm 10040 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10041 def 2369 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 9441 remove 10037 ref 5075 remove appTerm 10042 def appTerm absTerm appTerm absTerm appTerm absTerm 10043 def 2457 ref appTerm betaConv sym 271 ref 47 ref 48 ref 9444 ref 10037 remove 5078 remove appTerm 10044 def appTerm absTerm appTerm absTerm 10045 def 240 ref appTerm betaConv sym 48 ref 9444 ref 49 ref 10036 ref 240 ref appTerm 10046 def 57 ref appTerm 9400 ref appTerm 10047 def appTerm 10048 def 5083 ref appTerm 10049 def appTerm absTerm 10050 def 57 ref appTerm betaConv sym nil 3125 remove 5083 remove nil cons cons 10051 def 3126 remove 10047 ref nil cons 10052 def cons 10053 def 3127 ref 9425 ref cons nil cons cons cons nil cons cons 3479 ref subst nil 5085 ref 3469 ref 3127 ref 9444 remove 10047 ref appTerm 10054 def nil cons cons nil cons cons cons nil cons cons 3479 ref subst nil 5087 ref 5088 ref 3127 ref 49 ref 10054 remove appTerm 3461 ref appTerm nil cons cons nil cons cons cons nil cons cons 3479 ref subst trans trans 216 ref 216 ref 216 ref 9448 remove 10047 ref refl 10055 def appThm nil 139 ref 10052 ref cons nil cons nil cons cons 527 remove subst 10056 def trans appThm 3480 ref appThm appThm 3482 ref appThm appThm 5089 ref appThm trans sym 36 ref "_32190" 44 ref var 10057 def 10046 ref 10057 remove varTerm appTerm 9400 ref appTerm absTerm 10058 def 57 ref appTerm 10059 def appTerm refl 10058 ref 9991 ref appTerm betaConv appThm 155 ref 10059 remove betaConv appThm 10046 remove 9991 ref appTerm 9400 ref appTerm refl appThm trans 10058 remove refl 10027 remove assume sym appThm eqMp sym 9990 remove 36 ref "_32192" 44 ref var 10060 def 10036 ref 10060 remove varTerm appTerm 9991 ref appTerm 9400 ref appTerm absTerm 10061 def 240 ref appTerm 10062 def appTerm refl 10061 ref 54 remove 9399 remove appTerm 10063 def appTerm betaConv appThm 155 ref 10062 remove betaConv appThm 10036 remove 10063 ref appTerm 9991 remove appTerm 9400 ref appTerm refl appThm trans 10061 remove refl 52 remove 10063 remove appTerm 240 ref appTerm assume sym appThm eqMp sym nil 542 ref 9450 ref cons 9989 remove cons nil cons cons 3499 remove subst nil 9451 remove nil cons nil cons cons 3500 remove subst trans sym 145 ref eqMp eqMp proveHyp eqMp nil 110 ref 10052 remove cons 111 ref 3468 remove cons nil cons cons nil cons cons 194 ref subst proveHyp 3502 remove eqMp nil 110 ref 10048 remove 3461 ref appTerm 10064 def nil cons cons 3503 remove cons nil cons cons 194 ref subst proveHyp 3511 remove eqMp nil 110 ref 49 ref 10064 remove appTerm 3464 remove appTerm nil cons cons 5090 remove cons nil cons cons 194 ref subst proveHyp 5101 remove eqMp 10065 def eqMp eqMp 256 ref 257 ref 10050 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10045 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10043 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10041 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10039 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10035 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10035 remove appTerm nil cons cons 9974 remove cons nil cons cons 175 ref subst proveHyp nil 5103 remove 3514 remove 3516 remove 9576 ref 9450 ref cons nil cons cons cons cons nil cons cons 10066 def 9913 remove subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 10028 remove cons 10067 def 153 ref 9973 ref cons nil cons 10068 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3916 ref 153 ref 10012 ref cons nil cons 10069 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3918 ref 10069 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3919 ref 10011 ref appTerm absTerm appTerm nil cons cons 111 ref 3920 ref 10011 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3921 ref 10069 ref cons nil cons cons 811 ref subst eqMp nil 3923 ref 10013 remove cons nil cons cons 10070 def 126 ref subst 10070 remove 194 ref subst 10022 remove "_32174" 44 ref var 10071 def 71 ref 49 ref 9996 ref 10071 remove varTerm 10072 def appTerm appTerm 49 ref 3393 ref 10072 ref appTerm appTerm 49 ref 3395 ref 10072 ref appTerm appTerm 5028 ref 10072 remove appTerm appTerm appTerm appTerm appTerm 9407 ref appTerm absTerm 220 ref appTerm betaConv appThm 10023 remove 71 ref 49 ref 9996 ref 220 ref appTerm appTerm 5312 remove appTerm appTerm 10073 def 9407 ref appTerm refl appThm trans 10025 remove 3929 ref appThm eqMp sym 226 ref 216 ref 9994 remove 350 remove subst appThm 5313 remove appThm 375 remove trans appThm 10074 def 10000 ref appThm nil 139 ref 9973 remove cons nil cons nil cons cons 381 ref subst trans sym 145 ref eqMp eqMp eqMp nil 3933 ref 10069 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 ref 3934 ref 1335 ref 10012 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp eqMp nil 3935 ref 10069 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 151 ref 10004 remove cons 10075 def 10068 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 9997 ref 797 ref appTerm appTerm 10076 def 9407 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 9998 remove appTerm 10077 def 9407 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 9997 remove nil cons cons 10078 def 10068 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp nil 151 ref 9425 remove cons 153 ref 9426 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 9986 remove 9408 ref appTerm nil cons cons 111 ref 71 ref 9408 remove appTerm 9405 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 216 ref nil 7820 remove 2996 remove 2437 remove 9452 remove cons cons cons nil cons cons 10079 def 9536 remove subst appThm 10000 remove appThm appThm 9405 remove refl appThm sym nil 2545 remove 2546 remove 2547 remove 8818 remove 9450 remove cons 2550 remove 2552 remove 2554 remove 8817 remove 9988 remove cons nil cons cons cons cons cons cons cons cons nil cons cons 10080 def 8907 remove subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 9424 remove appTerm thm nil 262 ref 9396 ref 99 ref 9397 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 892 ref 9401 ref appTerm 10081 def 2322 ref appTerm 10082 def 2369 ref appTerm 10083 def 2457 ref appTerm 10084 def appTerm 49 ref 6187 ref 9398 ref appTerm 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm 10085 def appTerm 892 ref 9400 ref appTerm 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm 10086 def appTerm 10087 def appTerm 10088 def absTerm 10089 def appTerm 10090 def absTerm 10091 def appTerm 10092 def absTerm 10093 def appTerm 10094 def absTerm 10095 def appTerm 10096 def absTerm 10097 def appTerm 10098 def absTerm 10099 def appTerm 10100 def absTerm 10101 def appTerm 10102 def absTerm 10103 def nil cons cons nil cons nil cons cons 663 ref subst 9396 ref nil 139 ref 10102 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10101 remove nil cons cons nil cons nil cons cons 643 ref subst 9397 ref nil 139 ref 10100 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10099 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 10098 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10097 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 10096 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10095 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 10094 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10093 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 10092 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10091 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 10090 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10089 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 10088 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10084 ref nil cons 10104 def cons 111 ref 10087 ref nil cons 10105 def cons nil cons cons nil cons cons 10106 def 335 ref subst 10106 ref 126 ref subst 10106 remove 194 ref subst 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 6947 ref 9429 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10107 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 10081 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm 10108 def appTerm 10109 def 9434 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10110 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 10082 remove 41 ref appTerm 547 ref appTerm 10111 def appTerm 10112 def 9438 ref appTerm absTerm appTerm absTerm appTerm absTerm 10113 def 2369 ref appTerm betaConv sym 542 ref 47 ref 66 ref 49 ref 10083 remove 547 ref appTerm 10114 def appTerm 10115 def 9442 ref appTerm absTerm appTerm absTerm 10116 def 2457 ref appTerm betaConv sym 66 ref 49 ref 10084 ref appTerm 10117 def 9445 ref appTerm absTerm 10118 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 10104 ref cons nil cons nil cons cons 146 ref subst 10084 ref assume eqMp 10119 def appThm 10120 def 9453 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10118 remove nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10116 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10113 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10110 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10107 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10107 remove appTerm nil cons cons 111 ref 10085 remove nil cons 10121 def cons nil cons cons nil cons cons 175 ref subst proveHyp 9457 ref 552 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 6947 ref 9459 ref appTerm 10122 def absTerm 10123 def appTerm 10124 def absTerm 10125 def appTerm 10126 def absTerm 10127 def appTerm 10128 def absTerm 10129 def appTerm 10130 def absTerm 10131 def appTerm 10132 def appTerm 10133 def 6187 remove 9458 ref appTerm 76 ref appTerm 81 ref appTerm 556 ref appTerm 10134 def appTerm 10135 def absTerm 10136 def 556 ref appTerm 10137 def betaConv 70 ref 68 ref 10136 ref appTerm 10138 def absTerm 10139 def 81 ref appTerm 10140 def betaConv 69 ref 68 ref 10139 ref appTerm 10141 def absTerm 10142 def 76 ref appTerm 10143 def betaConv 9456 ref 68 ref 10142 ref appTerm 10144 def absTerm 10145 def 9458 ref appTerm 10146 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 9456 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 10122 ref appTerm 10134 ref appTerm 10147 def absTerm 10148 def appTerm 10149 def absTerm 10150 def appTerm 10151 def absTerm 10152 def appTerm 10153 def absTerm 10154 def appTerm 10155 def absTerm 10156 def appTerm 10157 def absTerm 10158 def appTerm 10159 def absTerm 10160 def appTerm 10161 def absTerm 10162 def appTerm 10163 def absTerm 10164 def nil cons cons 10165 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10163 remove nil cons 10166 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10162 ref nil cons cons 10167 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10161 remove nil cons 10168 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10160 ref nil cons cons 10169 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10159 remove nil cons 10170 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10158 ref nil cons cons 10171 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10157 remove nil cons 10172 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10156 ref nil cons cons 10173 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 10155 remove nil cons 10174 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10154 ref nil cons cons 10175 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 10153 remove nil cons 10176 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10152 ref nil cons cons 10177 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 10151 remove nil cons 10178 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10150 ref nil cons cons 10179 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 10149 remove nil cons 10180 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10148 ref nil cons cons 10181 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 10147 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 6947 ref refl 9522 ref appThm appThm 9523 ref 2165 ref 6197 remove 6186 remove appTerm 10182 def absTerm 10183 def 2168 ref appTerm 10184 def betaConv 1001 ref 68 ref 10183 ref appTerm 10185 def absTerm 10186 def 1002 ref appTerm 10187 def betaConv 263 ref 68 ref 10186 ref appTerm 10188 def absTerm 10189 def 627 ref appTerm 10190 def betaConv 227 ref 68 ref 10189 ref appTerm 10191 def absTerm 10192 def 233 ref appTerm 10193 def betaConv 225 ref 227 ref 225 ref 263 ref 225 ref 1001 ref 225 ref 2165 ref 10182 remove assume sym 6189 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm 6518 remove eqMp nil 110 ref 68 ref 10192 ref appTerm nil cons cons 111 ref 10193 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 10192 remove nil cons cons 265 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10191 remove nil cons cons 111 ref 10190 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 10189 remove nil cons cons 3024 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10188 remove nil cons cons 111 ref 10187 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 10186 remove nil cons cons 2495 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10185 remove nil cons cons 111 ref 10184 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 10183 remove nil cons cons 5973 ref cons nil cons cons 205 ref subst eqMp eqMp 10194 def subst appThm sym nil 110 ref 6947 ref 9546 ref appTerm nil cons 10195 def cons 111 ref 892 ref 9539 ref appTerm 8751 ref appTerm 8754 ref appTerm 9542 ref appTerm nil cons 10196 def cons nil cons 10197 def cons nil cons cons 10198 def 126 ref subst 10198 remove 194 ref subst nil 6962 remove 9551 ref cons nil cons cons 10199 def 167 ref subst 10199 remove 334 ref subst 9555 ref 9556 ref 9559 ref 9560 ref 9564 ref 9565 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6947 ref 9567 ref appTerm absTerm appTerm absTerm 10200 def appTerm absTerm 10201 def appTerm absTerm 10202 def appTerm absTerm 10203 def appTerm absTerm 10204 def 861 ref appTerm betaConv sym 10203 ref 39 ref appTerm betaConv sym 10202 ref 41 ref appTerm betaConv sym 10201 ref 547 ref appTerm betaConv sym 10200 ref 74 ref appTerm betaConv sym 48 ref 6947 ref 9573 ref appTerm absTerm 10205 def 240 ref appTerm betaConv sym 216 ref 7181 remove appThm 9575 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10205 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10200 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10201 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10202 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10203 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10204 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10204 remove appTerm nil cons cons 10197 remove cons nil cons cons 175 ref subst proveHyp 9577 ref 5102 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6947 ref 9581 ref appTerm 10206 def absTerm 10207 def appTerm 10208 def absTerm 10209 def appTerm 10210 def absTerm 10211 def appTerm 10212 def absTerm 10213 def appTerm 10214 def absTerm 10215 def appTerm 10216 def absTerm 10217 def appTerm 10218 def appTerm 10219 def 892 remove 9578 ref appTerm 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 10220 def appTerm 10221 def absTerm 10222 def 5105 ref appTerm 10223 def betaConv 3513 ref 99 ref 10222 ref appTerm 10224 def absTerm 10225 def 3521 ref appTerm 10226 def betaConv 3515 ref 99 ref 10225 ref appTerm 10227 def absTerm 10228 def 3518 ref appTerm 10229 def betaConv 9576 ref 99 ref 10228 ref appTerm 10230 def absTerm 10231 def 9578 ref appTerm 10232 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 9576 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 10206 ref appTerm 10220 ref appTerm 10233 def absTerm 10234 def appTerm 10235 def absTerm 10236 def appTerm 10237 def absTerm 10238 def appTerm 10239 def absTerm 10240 def appTerm 10241 def absTerm 10242 def appTerm 10243 def absTerm 10244 def appTerm 10245 def absTerm 10246 def appTerm 10247 def absTerm 10248 def appTerm 10249 def absTerm 10250 def appTerm 10251 def absTerm 10252 def nil cons cons 10253 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10251 remove nil cons 10254 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10250 ref nil cons cons 10255 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10249 remove nil cons 10256 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10248 ref nil cons cons 10257 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10247 remove nil cons 10258 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10246 ref nil cons cons 10259 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10245 remove nil cons 10260 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10244 ref nil cons cons 10261 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 10243 remove nil cons 10262 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10242 ref nil cons cons 10263 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10241 remove nil cons 10264 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10240 ref nil cons cons 10265 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 10239 remove nil cons 10266 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10238 ref nil cons cons 10267 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 10237 remove nil cons 10268 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10236 ref nil cons cons 10269 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 10235 remove nil cons 10270 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10234 ref nil cons cons 10271 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 10233 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 931 ref appThm 9648 ref appThm appThm 9650 ref 931 remove subst appThm sym nil 110 ref 49 ref 918 ref appTerm 9581 ref appTerm nil cons 10272 def cons 111 ref 725 ref 863 ref 725 ref 894 ref 725 ref 895 ref 9654 remove 49 ref 9652 remove 3521 ref appTerm 10273 def 897 ref appTerm appTerm 10274 def 49 ref 9290 ref 902 ref appTerm appTerm 10275 def 908 remove 5105 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10276 def appTerm 10277 def nil cons 10278 def cons nil cons 10279 def cons nil cons cons 10280 def 126 ref subst 10280 remove 194 ref subst nil 151 ref 918 remove nil cons 10281 def cons 9661 ref cons nil cons cons 10282 def 167 ref subst 10282 remove 334 ref subst nil 110 ref 10281 remove cons 10279 ref cons nil cons cons 175 ref subst nil 208 ref 863 ref 6965 remove 10277 ref appTerm 10283 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 10283 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6968 remove 10279 ref cons nil cons cons 10284 def 126 ref subst 10284 remove 194 ref subst 6971 remove nil 6972 remove 10279 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 894 ref 6974 remove 10277 ref appTerm 10285 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 894 ref nil 139 ref 10285 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6977 remove 10279 ref cons nil cons cons 10286 def 126 ref subst 10286 remove 194 ref subst 6980 remove nil 6981 remove 10279 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 895 ref 6983 remove 10277 ref appTerm 10287 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 895 ref nil 139 ref 10287 remove nil cons cons nil cons nil cons cons 146 ref subst nil 6986 remove 10279 ref cons nil cons cons 10288 def 126 ref subst 10288 remove 194 ref subst 6989 remove nil 6991 remove 10279 ref cons nil cons cons 10289 def 175 ref subst proveHyp 10289 ref 126 ref subst 10289 remove 194 ref subst 6993 remove 167 ref subst 6994 remove 6998 remove 6999 remove 7004 remove 7005 remove 9668 ref 9669 ref 5205 ref 5206 ref 5209 ref 5210 ref 9681 ref nil 9682 ref 10279 ref cons nil cons cons 175 ref subst proveHyp 9715 remove nil 9716 ref 111 ref 9717 ref 10277 ref appTerm 10290 def nil cons cons nil cons 10291 def cons nil cons cons 194 ref subst proveHyp nil 208 ref 9720 ref 9723 ref 10277 ref appTerm 10292 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 9720 ref nil 139 ref 10292 remove nil cons cons nil cons nil cons cons 146 ref subst nil 9726 ref 10279 ref cons nil cons cons 10293 def 126 ref subst 10293 remove 194 ref subst 9728 ref nil 9731 ref 10279 ref cons nil cons cons 10294 def 175 ref subst proveHyp 10294 ref 126 ref subst 10294 remove 194 ref subst 48 ref 71 ref 1800 ref 7006 ref appTerm 10295 def appTerm 725 ref 26 ref 235 ref 897 ref appTerm 275 ref appTerm 57 ref appTerm 10296 def 41 ref appTerm absTerm 10297 def appTerm 10298 def appTerm 10299 def absTerm 10300 def 57 ref appTerm 10301 def betaConv 271 ref 65 ref 10300 ref appTerm 10302 def absTerm 10303 def 275 ref appTerm 10304 def betaConv 2087 ref 897 ref appTerm 10305 def betaConv 2090 ref nil 2091 ref 111 ref 10305 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2092 ref 7092 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 10303 ref appTerm nil cons cons 111 ref 10304 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10303 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10302 remove nil cons cons 111 ref 10301 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10300 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10299 ref nil cons cons 10279 ref cons nil cons cons 175 ref subst proveHyp 48 ref 71 ref 899 ref 6779 ref appTerm appTerm 7008 remove appTerm absTerm 10306 def 6777 ref appTerm 10307 def betaConv 9689 ref 897 ref appTerm 10308 def betaConv 9691 remove 41 ref appTerm 10309 def betaConv 9694 remove nil 9695 remove 111 ref 10309 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9696 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9690 remove nil cons cons 111 ref 10308 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 9689 remove nil cons cons 7092 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 10306 ref appTerm nil cons cons 111 ref 10307 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10306 remove nil cons cons 7115 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 7111 remove appTerm 7118 ref appTerm nil cons cons 111 ref 10295 ref nil cons 10310 def cons nil cons 10311 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7117 remove appThm 7118 remove refl appThm nil 139 ref 7119 ref cons nil cons nil cons cons 840 ref subst trans appThm 10295 ref refl appThm sym nil 7122 remove 10311 remove cons nil cons cons 10312 def 126 ref subst 10312 remove 194 ref subst 36 ref "_32343" 44 ref var 10313 def 1800 ref 10313 remove varTerm appTerm absTerm 7006 remove appTerm 10314 def appTerm refl 9706 remove appThm 155 ref 10314 remove betaConv appThm 9708 remove appThm trans 9709 ref 7468 remove appThm eqMp sym 9713 remove eqMp eqMp nil 151 ref 7119 remove cons 153 ref 10310 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 110 ref 10310 remove cons 10315 def 111 ref 71 ref 10298 ref appTerm 10277 ref appTerm 10316 def nil cons cons nil cons 10317 def cons nil cons cons 194 ref subst proveHyp nil 208 ref "wys" 2 ref var 10318 def 71 ref 10297 ref 10318 ref varTerm 10319 def appTerm 10320 def appTerm 10277 ref appTerm 10321 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 10318 remove nil 139 ref 10321 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10320 ref nil cons 10322 def cons 10279 ref cons nil cons cons 10323 def 126 ref subst 10323 remove 194 ref subst 10320 ref betaConv 10320 remove assume eqMp nil 110 ref 10296 remove 10319 ref appTerm 10324 def nil cons 10325 def cons 10279 ref cons nil cons cons 10326 def 175 ref subst proveHyp 10326 ref 126 ref subst 10326 remove 194 ref subst 48 ref 71 ref 1800 ref 7010 ref appTerm 10327 def appTerm 725 ref 26 ref 235 remove 902 ref appTerm 275 ref appTerm 57 ref appTerm 10328 def 41 ref appTerm absTerm 10329 def appTerm 10330 def appTerm 10331 def absTerm 10332 def 57 ref appTerm 10333 def betaConv 271 ref 65 ref 10332 ref appTerm 10334 def absTerm 10335 def 275 ref appTerm 10336 def betaConv 2087 remove 902 ref appTerm 10337 def betaConv 2090 remove nil 2091 remove 111 ref 10337 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 2092 remove 7094 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 10335 ref appTerm nil cons cons 111 ref 10336 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10335 remove nil cons cons 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10334 remove nil cons cons 111 ref 10333 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10332 remove nil cons cons 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10331 ref nil cons cons 10279 ref cons nil cons cons 175 ref subst proveHyp 48 ref 71 ref 904 ref 58 remove appTerm appTerm 7012 remove appTerm absTerm 10338 def 55 ref appTerm 10339 def betaConv 5791 remove 902 ref appTerm 10340 def betaConv 5840 remove nil 6054 remove 111 ref 10340 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5800 remove 7094 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 10338 ref appTerm nil cons cons 111 ref 10339 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10338 remove nil cons cons 658 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 904 ref 5443 remove appTerm appTerm 7011 remove 55 ref appTerm 10341 def appTerm nil cons cons 111 ref 10327 ref nil cons 10342 def cons nil cons 10343 def cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7413 ref 659 remove appThm 528 ref trans appThm 10341 ref refl appThm nil 139 ref 10341 ref nil cons 10344 def cons nil cons nil cons cons 840 remove subst trans appThm 10327 ref refl appThm sym nil 110 ref 10344 ref cons 10343 remove cons nil cons cons 10345 def 126 ref subst 10345 remove 194 ref subst 36 ref "_32345" 44 ref var 10346 def 1800 remove 10346 remove varTerm appTerm absTerm 10347 def 7010 remove appTerm 10348 def appTerm refl 10347 remove 55 remove appTerm betaConv appThm 155 ref 10348 remove betaConv appThm 1801 remove refl appThm trans 9709 remove 10341 remove assume appThm eqMp sym 2011 remove 3518 ref appTerm betaConv sym 3621 remove eqMp 207 ref 2065 remove 3576 ref cons nil cons cons 724 ref subst proveHyp 2045 remove 175 ref subst proveHyp 2066 remove eqMp eqMp eqMp nil 151 ref 10344 remove cons 153 ref 10342 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 110 ref 10342 remove cons 10349 def 111 ref 71 ref 10330 ref appTerm 10277 ref appTerm 10350 def nil cons cons nil cons 10351 def cons nil cons cons 194 ref subst proveHyp nil 208 ref "xys" 2 remove var 10352 def 71 ref 10329 ref 10352 ref varTerm 10353 def appTerm 10354 def appTerm 10277 ref appTerm 10355 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 10352 remove nil 139 ref 10355 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10354 ref nil cons 10356 def cons 10279 ref cons nil cons cons 10357 def 126 ref subst 10357 remove 194 ref subst 10354 ref betaConv 10354 remove assume eqMp nil 110 ref 10328 remove 10353 ref appTerm 10358 def nil cons 10359 def cons 10279 remove cons nil cons cons 10360 def 175 ref subst proveHyp 10360 ref 126 ref subst 10360 remove 194 ref subst 10276 ref 9721 ref appTerm betaConv sym 894 remove 725 ref 895 ref 49 ref 9748 remove appTerm 10361 def 10274 remove 10275 ref 905 ref 9721 ref appTerm 10362 def 897 ref appTerm 902 ref appTerm 5105 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 10363 def 10319 ref appTerm betaConv sym 895 remove 10361 remove 49 ref 10273 remove 10319 ref appTerm 10364 def appTerm 10365 def 10275 remove 10362 remove 10319 ref appTerm 10366 def 902 ref appTerm 5105 ref appTerm appTerm appTerm appTerm absTerm 10367 def 10353 ref appTerm betaConv sym 9827 remove nil 9828 remove 111 ref 10365 remove 49 ref 9290 remove 10353 ref appTerm 10368 def appTerm 10366 remove 10353 ref appTerm 5105 ref appTerm 10369 def appTerm 10370 def appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5786 ref 9733 remove 5104 ref 5067 ref 10319 ref appTerm appTerm 10371 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10372 def 861 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9688 remove 9580 ref 10371 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10373 def appTerm absTerm 10374 def 41 ref appTerm betaConv sym 10373 ref 897 ref appTerm betaConv sym 271 ref 47 ref 48 ref 899 remove 9580 remove 5104 ref 10324 ref appTerm appTerm appTerm absTerm 10375 def appTerm absTerm 10376 def 275 ref appTerm betaConv sym 10375 ref 57 ref appTerm betaConv sym 7113 remove 9745 remove 3839 ref nil 139 ref 10325 ref cons nil cons nil cons cons 146 ref subst 10324 ref assume eqMp 10377 def appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10375 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10376 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10373 remove nil cons cons 7092 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10374 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10372 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10372 remove appTerm nil cons cons 111 ref 10364 remove nil cons 10378 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 5102 ref 10319 ref nil cons 10379 def cons 9751 remove cons nil cons cons 9826 ref subst eqMp nil 110 ref 10378 remove cons 111 ref 10370 remove nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5786 remove 3520 ref 5104 ref 5067 remove 10353 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10380 def appTerm absTerm 10381 def appTerm absTerm 10382 def 39 ref appTerm betaConv sym 10381 ref 41 ref appTerm betaConv sym 10380 ref 902 ref appTerm betaConv sym 271 ref 47 ref 48 ref 904 remove 3520 remove 5104 remove 10358 ref appTerm appTerm appTerm absTerm 10383 def appTerm absTerm 10384 def 275 ref appTerm betaConv sym 10383 ref 57 ref appTerm betaConv sym 7413 remove 3682 remove 3839 remove nil 139 ref 10359 ref cons nil cons nil cons cons 146 ref subst 10358 ref assume eqMp 10385 def appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10383 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10384 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10380 remove nil cons cons 7094 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10381 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10382 ref nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10382 remove appTerm nil cons cons 111 ref 10368 remove nil cons 10386 def cons nil cons cons nil cons cons 175 ref subst proveHyp nil 5102 ref 10353 ref nil cons 10387 def cons nil cons nil cons cons 9826 remove subst eqMp nil 110 ref 10386 remove cons 111 ref 10369 remove nil cons cons nil cons 10388 def cons nil cons cons 194 ref subst proveHyp 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7182 ref 49 ref 9566 remove 9721 ref appTerm appTerm 49 ref 699 remove 10319 remove appTerm appTerm 49 ref 1262 remove 10353 remove appTerm appTerm 5106 ref appTerm 10389 def appTerm 10390 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10391 def 866 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 7024 remove appTerm 9832 ref 10390 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10392 def 897 remove appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 7021 remove appTerm 9832 ref 49 ref 10324 remove appTerm 10393 def 10389 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10394 def 902 remove appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 909 remove appTerm 9832 remove 10393 remove 49 ref 10358 remove appTerm 5106 remove appTerm appTerm appTerm appTerm absTerm 10395 def appTerm absTerm 10396 def appTerm absTerm 10397 def 547 ref appTerm betaConv sym 10396 ref 275 ref appTerm betaConv sym 10395 ref 57 ref appTerm betaConv sym 216 ref 7095 remove appThm 9838 remove 216 ref 10377 remove appThm 216 ref 10385 remove appThm 5225 remove appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10395 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10396 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10397 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10394 remove nil cons cons 7094 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10392 remove nil cons cons 7092 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10391 ref nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10391 remove appTerm nil cons cons 10388 remove cons nil cons cons 175 ref subst proveHyp nil 3513 ref 10387 ref cons 3515 ref 10379 ref cons 9576 ref 9750 remove cons nil cons cons cons nil cons cons 5102 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7182 ref 9581 ref appTerm 10398 def absTerm 10399 def appTerm 10400 def absTerm 10401 def appTerm 10402 def absTerm 10403 def appTerm 10404 def absTerm 10405 def appTerm 10406 def absTerm 10407 def appTerm 10408 def absTerm 10409 def appTerm 10410 def appTerm 10411 def 905 ref 9578 ref appTerm 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 10412 def appTerm 10413 def absTerm 10414 def 5105 ref appTerm 10415 def betaConv 3513 ref 99 ref 10414 ref appTerm 10416 def absTerm 10417 def 3521 ref appTerm 10418 def betaConv 3515 ref 99 ref 10417 ref appTerm 10419 def absTerm 10420 def 3518 ref appTerm 10421 def betaConv 9576 ref 99 ref 10420 ref appTerm 10422 def absTerm 10423 def 9578 ref appTerm 10424 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 9576 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 10398 ref appTerm 10412 ref appTerm 10425 def absTerm 10426 def appTerm 10427 def absTerm 10428 def appTerm 10429 def absTerm 10430 def appTerm 10431 def absTerm 10432 def appTerm 10433 def absTerm 10434 def appTerm 10435 def absTerm 10436 def appTerm 10437 def absTerm 10438 def appTerm 10439 def absTerm 10440 def appTerm 10441 def absTerm 10442 def appTerm 10443 def absTerm 10444 def nil cons cons 10445 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10443 remove nil cons 10446 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10442 ref nil cons cons 10447 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10441 remove nil cons 10448 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10440 ref nil cons cons 10449 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10439 remove nil cons 10450 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10438 ref nil cons cons 10451 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10437 remove nil cons 10452 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10436 ref nil cons cons 10453 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 10435 remove nil cons 10454 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10434 ref nil cons cons 10455 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10433 remove nil cons 10456 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10432 ref nil cons cons 10457 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 10431 remove nil cons 10458 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10430 ref nil cons cons 10459 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 10429 remove nil cons 10460 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10428 ref nil cons cons 10461 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 10427 remove nil cons 10462 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10426 ref nil cons cons 10463 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 10425 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 964 ref appThm 9648 ref appThm appThm 9650 ref 964 remove subst appThm sym nil 110 ref 49 ref 951 ref appTerm 9581 ref appTerm nil cons 10464 def cons 111 ref 725 ref 863 ref 49 ref 606 ref 9578 ref appTerm 3518 ref appTerm 10465 def 866 ref appTerm appTerm 947 remove 3521 ref appTerm 5105 ref appTerm appTerm absTerm 10466 def appTerm 10467 def nil cons 10468 def cons nil cons 10469 def cons nil cons cons 10470 def 126 ref subst 10470 remove 194 ref subst nil 151 ref 951 remove nil cons 10471 def cons 9661 ref cons nil cons cons 10472 def 167 ref subst 10472 remove 334 ref subst nil 110 ref 10471 remove cons 10469 ref cons nil cons cons 175 ref subst nil 208 ref 863 ref 7039 remove 10467 ref appTerm 10473 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 ref nil 139 ref 10473 remove nil cons cons nil cons nil cons cons 146 ref subst nil 7042 remove 10469 ref cons nil cons cons 10474 def 126 ref subst 10474 remove 194 ref subst 7045 remove nil 7047 remove 10469 ref cons nil cons cons 10475 def 175 ref subst proveHyp 10475 ref 126 ref subst 10475 remove 194 ref subst 7053 remove 7054 remove 9668 ref 9669 ref 5205 ref 5206 ref 5209 ref 5210 ref 9681 ref nil 9682 ref 10469 ref cons nil cons cons 175 ref subst proveHyp 48 ref 71 ref 946 ref 6779 ref appTerm appTerm 6853 ref appTerm absTerm 10476 def 6777 ref appTerm 10477 def betaConv 542 ref 65 ref 48 ref 71 ref 49 ref 7055 remove appTerm 10478 def 6779 ref appTerm appTerm 550 ref appTerm absTerm appTerm absTerm 10479 def 866 ref appTerm 10480 def betaConv 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 7059 remove appTerm 10481 def 6779 ref appTerm appTerm 550 ref appTerm absTerm appTerm absTerm appTerm absTerm 10482 def 39 ref appTerm 10483 def betaConv 5852 remove 861 ref appTerm 10484 def betaConv 5861 remove nil 6400 remove 111 ref 10484 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5853 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10482 ref appTerm nil cons cons 111 ref 10483 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10482 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10479 ref appTerm nil cons cons 111 ref 10480 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10479 remove nil cons cons 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 10476 ref appTerm nil cons cons 111 ref 10477 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10476 remove nil cons cons 7115 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 946 ref 7110 ref appTerm appTerm 7360 ref appTerm nil cons cons 9698 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7457 remove appThm 9699 ref appThm 9700 ref trans appThm 9701 ref appThm sym 9714 ref eqMp eqMp nil 9716 ref 111 ref 9717 ref 10467 ref appTerm 10485 def nil cons cons nil cons 10486 def cons nil cons cons 194 ref subst proveHyp nil 208 ref 9720 ref 9723 ref 10467 ref appTerm 10487 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 9720 ref nil 139 ref 10487 remove nil cons cons nil cons nil cons cons 146 ref subst nil 9726 ref 10469 ref cons nil cons cons 10488 def 126 ref subst 10488 remove 194 ref subst 9728 ref nil 9731 ref 10469 remove cons nil cons cons 10489 def 175 ref subst proveHyp 10489 ref 126 ref subst 10489 remove 194 ref subst 10466 ref 9721 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5843 ref 9736 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10490 def 861 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 10481 remove 9738 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10491 def 39 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 10478 remove 9740 ref appTerm absTerm appTerm absTerm appTerm absTerm 10492 def 866 ref appTerm betaConv sym 271 ref 47 ref 48 ref 946 remove 9742 ref appTerm absTerm 10493 def appTerm absTerm 10494 def 275 ref appTerm betaConv sym 10493 ref 57 ref appTerm betaConv sym 7456 remove 9747 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10493 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10494 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10492 remove nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10491 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10490 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10490 remove appTerm nil cons cons 111 ref 10465 remove 9721 ref appTerm nil cons 10495 def cons nil cons cons nil cons cons 175 ref subst proveHyp 9752 ref 5102 ref 71 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9326 ref absTerm 10496 def appTerm 10497 def absTerm 10498 def appTerm 10499 def absTerm 10500 def appTerm 10501 def absTerm 10502 def appTerm 10503 def absTerm 10504 def appTerm 10505 def appTerm 10506 def 9327 ref appTerm 10507 def absTerm 10508 def 5105 ref appTerm 10509 def betaConv 3513 ref 99 ref 10508 ref appTerm 10510 def absTerm 10511 def 3521 ref appTerm 10512 def betaConv 3515 ref 99 ref 10511 ref appTerm 10513 def absTerm 10514 def 3518 ref appTerm 10515 def betaConv 9359 remove nil 110 ref 9360 ref nil cons 10516 def cons 10517 def 111 ref 99 ref 10514 ref appTerm nil cons 10518 def cons nil cons cons nil cons cons 10519 def 175 ref subst proveHyp 10519 ref 126 ref subst 10519 remove 194 ref subst nil 208 ref 10514 remove nil cons cons 10520 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 10513 remove nil cons 10521 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10511 remove nil cons cons 10522 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 10510 remove nil cons 10523 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10508 remove nil cons cons 10524 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 10507 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10505 remove nil cons 10525 def cons 10526 def 111 ref 9327 ref nil cons 10527 def cons nil cons 10528 def cons nil cons cons 10529 def 126 ref subst 10529 remove 194 ref subst nil 10517 ref 10528 ref cons nil cons cons 10530 def 175 ref subst nil 10526 remove 111 ref 71 ref 9360 remove appTerm 9327 remove appTerm 10531 def nil cons 10532 def cons nil cons 10533 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 10504 ref 39 ref appTerm 10534 def appTerm 10531 ref appTerm 10535 def absTerm 10536 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10535 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10534 ref nil cons 10537 def cons 10533 ref cons nil cons cons 10538 def 126 ref subst 10538 remove 194 ref subst 10534 ref betaConv 10534 remove assume eqMp nil 110 ref 10503 ref nil cons cons 10533 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 10502 ref 41 ref appTerm 10539 def appTerm 10531 ref appTerm 10540 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10540 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10539 ref nil cons 10541 def cons 10533 ref cons nil cons cons 10542 def 126 ref subst 10542 remove 194 ref subst 10539 ref betaConv 10539 remove assume eqMp nil 110 ref 10501 ref nil cons cons 10533 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 10500 ref 547 ref appTerm 10543 def appTerm 10531 ref appTerm 10544 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10544 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10543 ref nil cons 10545 def cons 10533 ref cons nil cons cons 10546 def 126 ref subst 10546 remove 194 ref subst 10543 ref betaConv 10543 remove assume eqMp nil 110 ref 10499 ref nil cons cons 10533 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 10498 ref 275 ref appTerm 10547 def appTerm 10531 ref appTerm 10548 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 10548 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10547 ref nil cons 10549 def cons 10533 ref cons nil cons cons 10550 def 126 ref subst 10550 remove 194 ref subst 10547 ref betaConv 10547 remove assume eqMp nil 110 ref 10497 ref nil cons cons 10533 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 10496 ref 57 ref appTerm 10551 def appTerm 10531 ref appTerm 10552 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10552 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10551 ref nil cons 10553 def cons 10533 ref cons nil cons cons 10554 def 126 ref subst 10554 remove 194 ref subst 10551 ref betaConv 10551 remove assume eqMp nil 110 ref 9326 remove nil cons 10555 def cons 10556 def 10533 remove cons nil cons cons 10557 def 175 ref subst proveHyp 10557 ref 126 ref subst 10557 remove 194 ref subst 10530 ref 126 ref subst 10530 remove 194 ref subst nil 10556 remove 10528 remove cons nil cons cons 175 ref subst 9329 remove 5105 ref appTerm 10558 def betaConv 9331 remove 3521 ref appTerm 10559 def betaConv 9333 remove 3518 ref appTerm 10560 def betaConv 9335 remove 57 ref appTerm 10561 def betaConv 9337 remove 275 ref appTerm 10562 def betaConv 9339 remove 547 ref appTerm 10563 def betaConv 9341 remove 41 ref appTerm 10564 def betaConv 9343 remove 39 ref appTerm 10565 def betaConv nil 10517 remove 111 ref 10565 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 9344 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9345 remove cons 111 ref 10564 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9346 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9347 remove cons 111 ref 10563 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9348 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9349 remove cons 111 ref 10562 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9350 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9351 remove cons 111 ref 10561 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9352 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9353 remove cons 111 ref 10560 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9354 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9355 remove cons 111 ref 10559 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9356 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9357 remove cons 111 ref 10558 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9358 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10516 remove cons 10566 def 153 ref 10527 remove cons nil cons 10567 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 10555 remove cons 153 ref 10532 remove cons nil cons 10568 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10553 remove cons 10568 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10496 ref 797 ref appTerm appTerm 10531 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10497 remove appTerm 10531 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10496 remove nil cons cons 10568 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10549 remove cons 10568 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10498 ref 797 ref appTerm appTerm 10531 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10499 remove appTerm 10531 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10498 remove nil cons cons 10568 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10545 remove cons 10568 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10500 ref 1893 ref appTerm appTerm 10531 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10501 remove appTerm 10531 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10500 remove nil cons cons 10568 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10541 remove cons 10568 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10502 ref 1893 ref appTerm appTerm 10531 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10503 remove appTerm 10531 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10502 remove nil cons cons 10568 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10537 remove cons 10568 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 10536 remove appTerm nil cons cons 111 ref 10506 remove 10531 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10504 remove nil cons cons 10568 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10525 remove cons 10567 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10566 remove 153 ref 10518 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 10518 remove cons 111 ref 10515 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10520 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10521 remove cons 111 ref 10512 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10522 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10523 remove cons 111 ref 10509 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10524 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 10569 def subst eqMp nil 110 ref 10495 remove cons 111 ref 606 remove 9721 ref appTerm 3521 ref appTerm 5105 ref appTerm nil cons cons nil cons 10570 def cons nil cons cons 194 ref subst proveHyp 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5843 remove 9830 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10571 def 866 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 948 remove appTerm 9833 ref appTerm absTerm 10572 def appTerm absTerm 10573 def appTerm absTerm 10574 def appTerm absTerm 10575 def 41 ref appTerm betaConv sym 10574 ref 547 ref appTerm betaConv sym 10573 ref 275 ref appTerm betaConv sym 10572 ref 57 ref appTerm betaConv sym 216 ref 7081 remove appThm 9839 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10572 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10573 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10574 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10575 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10571 ref nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10571 remove appTerm nil cons cons 10570 remove cons nil cons cons 175 ref subst proveHyp 9840 ref 10569 remove subst eqMp eqMp eqMp 207 ref 208 ref 10466 remove nil cons cons 9841 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 9842 ref 153 ref 10468 ref cons nil cons 10576 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 9844 ref 10576 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 9845 ref 10467 ref appTerm absTerm appTerm nil cons cons 10486 remove cons nil cons cons 175 ref subst proveHyp 207 ref 9846 ref 10576 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 9847 ref 10485 remove appTerm nil cons cons 111 ref 9848 ref 10467 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 10468 remove cons 9849 ref cons nil cons cons 4271 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 7082 remove 10576 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 7083 remove 10576 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7084 remove 10467 ref appTerm absTerm appTerm nil cons cons 111 ref 7085 remove 10467 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7086 remove 10576 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 10464 remove cons 10576 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10577 def nil 110 ref 99 ref 10444 ref appTerm 10578 def nil cons 10579 def cons 10580 def 111 ref 99 ref 10423 ref appTerm nil cons 10581 def cons nil cons cons nil cons cons 10582 def 175 ref subst proveHyp 10582 ref 126 ref subst 10582 remove 194 ref subst nil 208 ref 10423 remove nil cons cons 10583 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 10422 remove nil cons 10584 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10420 remove nil cons cons 10585 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 10419 remove nil cons 10586 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10417 remove nil cons cons 10587 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 10416 remove nil cons 10588 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10414 remove nil cons cons 10589 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 10413 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10410 remove nil cons 10590 def cons 10591 def 111 ref 10412 ref nil cons 10592 def cons nil cons 10593 def cons nil cons cons 10594 def 126 ref subst 10594 remove 194 ref subst nil 10580 ref 10593 ref cons nil cons cons 10595 def 175 ref subst nil 10591 remove 111 ref 71 ref 10578 ref appTerm 10412 remove appTerm 10596 def nil cons 10597 def cons nil cons 10598 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 10409 ref 861 ref appTerm 10599 def appTerm 10596 ref appTerm 10600 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10600 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10599 ref nil cons 10601 def cons 10598 ref cons nil cons cons 10602 def 126 ref subst 10602 remove 194 ref subst 10599 ref betaConv 10599 remove assume eqMp nil 110 ref 10408 ref nil cons cons 10598 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 10407 ref 39 ref appTerm 10603 def appTerm 10596 ref appTerm 10604 def absTerm 10605 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10604 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10603 ref nil cons 10606 def cons 10598 ref cons nil cons cons 10607 def 126 ref subst 10607 remove 194 ref subst 10603 ref betaConv 10603 remove assume eqMp nil 110 ref 10406 ref nil cons cons 10598 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 10405 ref 41 ref appTerm 10608 def appTerm 10596 ref appTerm 10609 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10609 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10608 ref nil cons 10610 def cons 10598 ref cons nil cons cons 10611 def 126 ref subst 10611 remove 194 ref subst 10608 ref betaConv 10608 remove assume eqMp nil 110 ref 10404 ref nil cons cons 10598 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 10403 ref 547 ref appTerm 10612 def appTerm 10596 ref appTerm 10613 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10613 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10612 ref nil cons 10614 def cons 10598 ref cons nil cons cons 10615 def 126 ref subst 10615 remove 194 ref subst 10612 ref betaConv 10612 remove assume eqMp nil 110 ref 10402 ref nil cons cons 10598 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 10401 ref 275 ref appTerm 10616 def appTerm 10596 ref appTerm 10617 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 10617 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10616 ref nil cons 10618 def cons 10598 ref cons nil cons cons 10619 def 126 ref subst 10619 remove 194 ref subst 10616 ref betaConv 10616 remove assume eqMp nil 110 ref 10400 ref nil cons cons 10598 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 10399 ref 57 ref appTerm 10620 def appTerm 10596 ref appTerm 10621 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10621 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10620 ref nil cons 10622 def cons 10598 ref cons nil cons cons 10623 def 126 ref subst 10623 remove 194 ref subst 10620 ref betaConv 10620 remove assume eqMp nil 110 ref 10398 remove nil cons 10624 def cons 10625 def 10598 remove cons nil cons cons 10626 def 175 ref subst proveHyp 10626 ref 126 ref subst 10626 remove 194 ref subst 10595 ref 126 ref subst 10595 remove 194 ref subst nil 10625 remove 10593 remove cons nil cons cons 175 ref subst 10426 remove 5105 ref appTerm 10627 def betaConv 10428 remove 3521 ref appTerm 10628 def betaConv 10430 remove 3518 ref appTerm 10629 def betaConv 10432 remove 9578 ref appTerm 10630 def betaConv 10434 remove 57 ref appTerm 10631 def betaConv 10436 remove 275 ref appTerm 10632 def betaConv 10438 remove 547 ref appTerm 10633 def betaConv 10440 remove 41 ref appTerm 10634 def betaConv 10442 remove 39 ref appTerm 10635 def betaConv 10444 remove 861 ref appTerm 10636 def betaConv nil 10580 remove 111 ref 10636 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 10445 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10446 remove cons 111 ref 10635 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10447 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10448 remove cons 111 ref 10634 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10449 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10450 remove cons 111 ref 10633 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10451 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10452 remove cons 111 ref 10632 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10453 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10454 remove cons 111 ref 10631 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10455 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10456 remove cons 111 ref 10630 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10457 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10458 remove cons 111 ref 10629 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10459 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10460 remove cons 111 ref 10628 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10461 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10462 remove cons 111 ref 10627 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10463 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10579 remove cons 10637 def 153 ref 10592 remove cons nil cons 10638 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 10624 remove cons 153 ref 10597 remove cons nil cons 10639 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10622 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10399 ref 797 ref appTerm appTerm 10596 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10400 remove appTerm 10596 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10399 remove nil cons cons 10639 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10618 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10401 ref 797 ref appTerm appTerm 10596 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10402 remove appTerm 10596 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10401 remove nil cons cons 10639 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10614 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10403 ref 1893 ref appTerm appTerm 10596 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10404 remove appTerm 10596 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10403 remove nil cons cons 10639 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10610 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10405 ref 1893 ref appTerm appTerm 10596 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10406 remove appTerm 10596 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10405 remove nil cons cons 10639 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10606 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 10605 remove appTerm nil cons cons 111 ref 71 ref 10408 remove appTerm 10596 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10407 remove nil cons cons 10639 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10601 remove cons 10639 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10409 ref 39 ref appTerm appTerm 10596 ref appTerm absTerm appTerm nil cons cons 111 ref 10411 remove 10596 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10409 remove nil cons cons 10639 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10590 remove cons 10638 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10637 remove 153 ref 10581 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 10581 remove cons 111 ref 10424 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10583 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10584 remove cons 111 ref 10421 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10585 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10586 remove cons 111 ref 10418 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10587 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10588 remove cons 111 ref 10415 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10589 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 10640 def subst eqMp eqMp eqMp eqMp eqMp 207 ref 208 ref 10367 remove nil cons cons 29 ref 10387 remove cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10363 remove nil cons cons 29 ref 10379 remove cons nil cons cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10276 remove nil cons cons 9841 ref cons nil cons cons 724 ref subst proveHyp eqMp nil 151 ref 10359 remove cons 153 ref 10278 ref cons nil cons 10641 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10356 remove cons 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10329 ref 39 ref appTerm appTerm 10277 ref appTerm absTerm appTerm nil cons cons 10351 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10329 remove nil cons cons 10641 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 49 ref 10327 remove appTerm 10350 remove appTerm nil cons cons 111 ref 71 ref 10331 remove appTerm 10277 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 ref 10278 remove cons 10642 def 111 ref 10330 remove nil cons cons 10349 remove nil cons cons cons nil cons cons 4271 ref subst eqMp eqMp eqMp nil 151 ref 10325 remove cons 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10322 remove cons 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10297 ref 39 ref appTerm appTerm 10277 ref appTerm absTerm appTerm nil cons cons 10317 remove cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10297 remove nil cons cons 10641 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 49 ref 10295 remove appTerm 10316 remove appTerm nil cons cons 111 ref 71 ref 10299 remove appTerm 10277 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 10642 ref 111 ref 10298 remove nil cons cons 10315 remove nil cons cons cons nil cons cons 4271 ref subst eqMp eqMp eqMp nil 9842 ref 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 9844 ref 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 9845 ref 10277 ref appTerm absTerm appTerm nil cons cons 10291 remove cons nil cons cons 175 ref subst proveHyp 207 ref 9846 ref 10641 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 9847 ref 10290 remove appTerm nil cons cons 111 ref 9848 ref 10277 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 10642 remove 9849 ref cons nil cons cons 4271 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 7165 remove 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 7166 remove 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7167 remove 10277 ref appTerm absTerm appTerm nil cons cons 111 ref 7168 remove 10277 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7169 remove 10641 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 7170 remove 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7171 remove 10277 ref appTerm absTerm appTerm nil cons cons 111 ref 7172 remove 10277 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7173 remove 10641 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 7174 remove 10641 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7175 remove 10277 ref appTerm absTerm appTerm nil cons cons 111 ref 7176 remove 10277 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7177 remove 10641 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 10272 remove cons 10641 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10643 def nil 110 ref 99 ref 10252 ref appTerm 10644 def nil cons 10645 def cons 10646 def 111 ref 99 ref 10231 ref appTerm nil cons 10647 def cons nil cons cons nil cons cons 10648 def 175 ref subst proveHyp 10648 ref 126 ref subst 10648 remove 194 ref subst nil 208 ref 10231 remove nil cons cons 10649 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 10230 remove nil cons 10650 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10228 remove nil cons cons 10651 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 10227 remove nil cons 10652 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10225 remove nil cons cons 10653 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 10224 remove nil cons 10654 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10222 remove nil cons cons 10655 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 10221 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10218 remove nil cons 10656 def cons 10657 def 111 ref 10220 ref nil cons 10658 def cons nil cons 10659 def cons nil cons cons 10660 def 126 ref subst 10660 remove 194 ref subst nil 10646 ref 10659 ref cons nil cons cons 10661 def 175 ref subst nil 10657 remove 111 ref 71 ref 10644 ref appTerm 10220 remove appTerm 10662 def nil cons 10663 def cons nil cons 10664 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 10217 ref 861 ref appTerm 10665 def appTerm 10662 ref appTerm 10666 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10666 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10665 ref nil cons 10667 def cons 10664 ref cons nil cons cons 10668 def 126 ref subst 10668 remove 194 ref subst 10665 ref betaConv 10665 remove assume eqMp nil 110 ref 10216 ref nil cons cons 10664 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 10215 ref 39 ref appTerm 10669 def appTerm 10662 ref appTerm 10670 def absTerm 10671 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10670 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10669 ref nil cons 10672 def cons 10664 ref cons nil cons cons 10673 def 126 ref subst 10673 remove 194 ref subst 10669 ref betaConv 10669 remove assume eqMp nil 110 ref 10214 ref nil cons cons 10664 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 10213 ref 41 ref appTerm 10674 def appTerm 10662 ref appTerm 10675 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10675 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10674 ref nil cons 10676 def cons 10664 ref cons nil cons cons 10677 def 126 ref subst 10677 remove 194 ref subst 10674 ref betaConv 10674 remove assume eqMp nil 110 ref 10212 ref nil cons cons 10664 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 10211 ref 547 ref appTerm 10678 def appTerm 10662 ref appTerm 10679 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10679 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10678 ref nil cons 10680 def cons 10664 ref cons nil cons cons 10681 def 126 ref subst 10681 remove 194 ref subst 10678 ref betaConv 10678 remove assume eqMp nil 110 ref 10210 ref nil cons cons 10664 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 10209 ref 275 ref appTerm 10682 def appTerm 10662 ref appTerm 10683 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 10683 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10682 ref nil cons 10684 def cons 10664 ref cons nil cons cons 10685 def 126 ref subst 10685 remove 194 ref subst 10682 ref betaConv 10682 remove assume eqMp nil 110 ref 10208 ref nil cons cons 10664 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 10207 ref 57 ref appTerm 10686 def appTerm 10662 ref appTerm 10687 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10687 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10686 ref nil cons 10688 def cons 10664 ref cons nil cons cons 10689 def 126 ref subst 10689 remove 194 ref subst 10686 ref betaConv 10686 remove assume eqMp nil 110 ref 10206 remove nil cons 10690 def cons 10691 def 10664 remove cons nil cons cons 10692 def 175 ref subst proveHyp 10692 ref 126 ref subst 10692 remove 194 ref subst 10661 ref 126 ref subst 10661 remove 194 ref subst nil 10691 remove 10659 remove cons nil cons cons 175 ref subst 10234 remove 5105 ref appTerm 10693 def betaConv 10236 remove 3521 ref appTerm 10694 def betaConv 10238 remove 3518 ref appTerm 10695 def betaConv 10240 remove 9578 ref appTerm 10696 def betaConv 10242 remove 57 ref appTerm 10697 def betaConv 10244 remove 275 ref appTerm 10698 def betaConv 10246 remove 547 ref appTerm 10699 def betaConv 10248 remove 41 ref appTerm 10700 def betaConv 10250 remove 39 ref appTerm 10701 def betaConv 10252 remove 861 ref appTerm 10702 def betaConv nil 10646 remove 111 ref 10702 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 10253 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10254 remove cons 111 ref 10701 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10255 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10256 remove cons 111 ref 10700 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10257 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10258 remove cons 111 ref 10699 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10259 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10260 remove cons 111 ref 10698 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10261 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10262 remove cons 111 ref 10697 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10263 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10264 remove cons 111 ref 10696 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10265 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10266 remove cons 111 ref 10695 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10267 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10268 remove cons 111 ref 10694 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10269 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10270 remove cons 111 ref 10693 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10271 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10645 remove cons 10703 def 153 ref 10658 remove cons nil cons 10704 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 10690 remove cons 153 ref 10663 remove cons nil cons 10705 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10688 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10207 ref 797 ref appTerm appTerm 10662 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10208 remove appTerm 10662 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10207 remove nil cons cons 10705 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10684 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10209 ref 797 ref appTerm appTerm 10662 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10210 remove appTerm 10662 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10209 remove nil cons cons 10705 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10680 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10211 ref 1893 ref appTerm appTerm 10662 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10212 remove appTerm 10662 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10211 remove nil cons cons 10705 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10676 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10213 ref 1893 ref appTerm appTerm 10662 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10214 remove appTerm 10662 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10213 remove nil cons cons 10705 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10672 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 10671 remove appTerm nil cons cons 111 ref 71 ref 10216 remove appTerm 10662 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10215 remove nil cons cons 10705 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10667 remove cons 10705 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10217 ref 39 ref appTerm appTerm 10662 ref appTerm absTerm appTerm nil cons cons 111 ref 10219 remove 10662 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10217 remove nil cons cons 10705 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10656 remove cons 10704 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10703 remove 153 ref 10647 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 10647 remove cons 111 ref 10232 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10649 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10650 remove cons 111 ref 10229 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10651 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10652 remove cons 111 ref 10226 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10653 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10654 remove cons 111 ref 10223 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10655 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 10706 def subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 10195 remove cons 153 ref 10196 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10707 def nil 110 ref 99 ref 10164 ref appTerm 10708 def nil cons 10709 def cons 10710 def 111 ref 68 ref 10145 ref appTerm nil cons 10711 def cons nil cons cons nil cons cons 10712 def 175 ref subst proveHyp 10712 ref 126 ref subst 10712 remove 194 ref subst nil 262 ref 10145 remove nil cons cons 10713 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 10144 remove nil cons 10714 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10142 remove nil cons cons 10715 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 10141 remove nil cons 10716 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10139 remove nil cons cons 10717 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 10138 remove nil cons 10718 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10136 remove nil cons cons 10719 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 10135 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10132 remove nil cons 10720 def cons 10721 def 111 ref 10134 ref nil cons 10722 def cons nil cons 10723 def cons nil cons cons 10724 def 126 ref subst 10724 remove 194 ref subst nil 10710 ref 10723 ref cons nil cons cons 10725 def 175 ref subst nil 10721 remove 111 ref 71 ref 10708 ref appTerm 10134 remove appTerm 10726 def nil cons 10727 def cons nil cons 10728 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 10131 ref 861 ref appTerm 10729 def appTerm 10726 ref appTerm 10730 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10730 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10729 ref nil cons 10731 def cons 10728 ref cons nil cons cons 10732 def 126 ref subst 10732 remove 194 ref subst 10729 ref betaConv 10729 remove assume eqMp nil 110 ref 10130 ref nil cons cons 10728 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 10129 ref 39 ref appTerm 10733 def appTerm 10726 ref appTerm 10734 def absTerm 10735 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10734 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10733 ref nil cons 10736 def cons 10728 ref cons nil cons cons 10737 def 126 ref subst 10737 remove 194 ref subst 10733 ref betaConv 10733 remove assume eqMp nil 110 ref 10128 ref nil cons cons 10728 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 10127 ref 41 ref appTerm 10738 def appTerm 10726 ref appTerm 10739 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10739 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10738 ref nil cons 10740 def cons 10728 ref cons nil cons cons 10741 def 126 ref subst 10741 remove 194 ref subst 10738 ref betaConv 10738 remove assume eqMp nil 110 ref 10126 ref nil cons cons 10728 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 10125 ref 547 ref appTerm 10742 def appTerm 10726 ref appTerm 10743 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10743 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10742 ref nil cons 10744 def cons 10728 ref cons nil cons cons 10745 def 126 ref subst 10745 remove 194 ref subst 10742 ref betaConv 10742 remove assume eqMp nil 110 ref 10124 ref nil cons cons 10728 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 10123 ref 74 ref appTerm 10746 def appTerm 10726 ref appTerm 10747 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 10747 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10746 ref nil cons 10748 def cons 10728 ref cons nil cons cons 10749 def 126 ref subst 10749 remove 194 ref subst 10746 ref betaConv 10746 remove assume eqMp nil 110 ref 10122 remove nil cons 10750 def cons 10751 def 10728 remove cons nil cons cons 10752 def 175 ref subst proveHyp 10752 ref 126 ref subst 10752 remove 194 ref subst 10725 ref 126 ref subst 10725 remove 194 ref subst nil 10751 remove 10723 remove cons nil cons cons 175 ref subst 10148 remove 556 ref appTerm 10753 def betaConv 10150 remove 81 ref appTerm 10754 def betaConv 10152 remove 76 ref appTerm 10755 def betaConv 10154 remove 9458 ref appTerm 10756 def betaConv 10156 remove 74 ref appTerm 10757 def betaConv 10158 remove 547 ref appTerm 10758 def betaConv 10160 remove 41 ref appTerm 10759 def betaConv 10162 remove 39 ref appTerm 10760 def betaConv 10164 remove 861 ref appTerm 10761 def betaConv nil 10710 remove 111 ref 10761 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 10165 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10166 remove cons 111 ref 10760 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10167 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10168 remove cons 111 ref 10759 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10169 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10170 remove cons 111 ref 10758 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10171 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10172 remove cons 111 ref 10757 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10173 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10174 remove cons 111 ref 10756 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10175 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10176 remove cons 111 ref 10755 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10177 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10178 remove cons 111 ref 10754 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10179 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10180 remove cons 111 ref 10753 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10181 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10709 remove cons 10762 def 153 ref 10722 remove cons nil cons 10763 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 10750 remove cons 153 ref 10727 remove cons nil cons 10764 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10748 remove cons 10764 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10123 ref 797 ref appTerm appTerm 10726 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10124 remove appTerm 10726 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10123 remove nil cons cons 10764 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10744 remove cons 10764 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10125 ref 1893 ref appTerm appTerm 10726 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10126 remove appTerm 10726 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10125 remove nil cons cons 10764 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10740 remove cons 10764 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10127 ref 1893 ref appTerm appTerm 10726 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10128 remove appTerm 10726 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10127 remove nil cons cons 10764 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10736 remove cons 10764 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 10735 remove appTerm nil cons cons 111 ref 71 ref 10130 remove appTerm 10726 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10129 remove nil cons cons 10764 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10731 remove cons 10764 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10131 ref 39 ref appTerm appTerm 10726 ref appTerm absTerm appTerm nil cons cons 111 ref 10133 remove 10726 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10131 remove nil cons cons 10764 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10720 remove cons 10763 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10762 remove 153 ref 10711 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 10711 remove cons 111 ref 10146 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10713 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10714 remove cons 111 ref 10143 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10715 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10716 remove cons 111 ref 10140 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10717 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10718 remove cons 111 ref 10137 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10719 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 10121 remove cons 111 ref 10086 ref nil cons 10765 def cons nil cons 10766 def cons nil cons cons 194 ref subst proveHyp 542 ref 71 ref 10114 remove appTerm 9976 ref appTerm absTerm 10767 def 2457 ref appTerm 10768 def betaConv 26 ref 99 ref 542 ref 71 ref 10111 remove appTerm 9979 ref appTerm absTerm appTerm absTerm 10769 def 2369 ref appTerm 10770 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 10108 remove appTerm 9982 ref appTerm absTerm appTerm absTerm appTerm absTerm 10771 def 2322 ref appTerm 10772 def betaConv 8584 remove 9401 ref appTerm 10773 def betaConv 8586 remove nil 110 ref 8587 remove nil cons cons 111 ref 10773 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8585 remove 9454 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10771 ref appTerm nil cons cons 111 ref 10772 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10771 remove nil cons cons 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10769 ref appTerm nil cons cons 111 ref 10770 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10769 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10767 ref appTerm nil cons cons 111 ref 10768 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10767 remove nil cons cons 2744 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 10084 ref appTerm 10774 def 9987 ref appTerm nil cons cons 10766 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 10119 remove appThm 9995 ref appThm 9999 ref trans appThm 10086 ref refl 10775 def appThm sym nil 257 ref 493 ref 10002 ref 10086 ref appTerm 10776 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 10776 remove nil cons cons nil cons nil cons cons 146 ref subst nil 10005 ref 10766 ref cons nil cons cons 10777 def 126 ref subst 10777 remove 194 ref subst 10007 ref nil 10009 ref 10766 ref cons nil cons cons 175 ref subst proveHyp 3408 ref nil 3410 ref 111 ref 10010 ref 10086 ref appTerm 10778 def nil cons 10779 def cons nil cons 10780 def cons nil cons cons 10781 def 175 ref subst proveHyp 10781 ref 126 ref subst 10781 remove 194 ref subst nil 257 ref 48 ref 3416 ref 10778 ref appTerm 10782 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10782 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3419 ref 10780 ref cons nil cons cons 10783 def 126 ref subst 10783 remove 194 ref subst 3421 ref nil 3423 ref 10780 ref cons nil cons cons 10784 def 175 ref subst proveHyp 10784 ref 126 ref subst 10784 remove 194 ref subst 36 ref "_32349" 44 ref var 10785 def 71 ref 49 ref 9996 ref 10785 remove varTerm 10786 def appTerm appTerm 49 ref 3393 ref 10786 ref appTerm appTerm 49 ref 3395 ref 10786 ref appTerm appTerm 5028 ref 10786 remove appTerm appTerm appTerm appTerm appTerm 10086 ref appTerm absTerm 10787 def 496 ref appTerm 10788 def appTerm refl 10789 def 10787 ref 309 ref appTerm betaConv appThm 155 ref 10788 remove betaConv appThm 10790 def 10024 ref 10086 ref appTerm refl appThm trans 10787 remove refl 10791 def 3434 ref appThm eqMp sym 10026 ref 10775 ref appThm sym nil 10029 ref 10766 ref cons nil cons cons 10792 def 126 ref subst 10792 remove 194 ref subst 10032 ref 10033 ref 5060 ref 5061 ref 5064 ref 5065 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 6947 remove 10034 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10793 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 10109 remove 10038 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10794 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 10112 remove 10040 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10795 def 2369 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 10115 remove 10042 ref appTerm absTerm appTerm absTerm appTerm absTerm 10796 def 2457 ref appTerm betaConv sym 271 ref 47 ref 48 ref 10117 ref 10044 ref appTerm absTerm appTerm absTerm 10797 def 240 ref appTerm betaConv sym 48 ref 10117 ref 10049 ref appTerm absTerm 10798 def 57 ref appTerm betaConv sym nil 10051 ref 10053 ref 3127 ref 10104 ref cons nil cons cons cons nil cons cons 3479 ref subst nil 5085 ref 3469 ref 3127 ref 10117 remove 10047 ref appTerm 10799 def nil cons cons nil cons cons cons nil cons cons 3479 ref subst nil 5087 ref 5088 ref 3127 ref 49 ref 10799 remove appTerm 3461 ref appTerm nil cons cons nil cons cons cons nil cons cons 3479 ref subst trans trans 216 ref 216 ref 216 ref 10120 remove 10055 ref appThm 10056 ref trans appThm 3480 ref appThm appThm 3482 ref appThm appThm 5089 ref appThm trans sym 10065 ref eqMp eqMp 256 ref 257 ref 10798 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10797 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10796 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10795 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10794 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10793 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10793 remove appTerm nil cons cons 10766 remove cons nil cons cons 175 ref subst proveHyp 10066 ref 10706 remove subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 10067 ref 153 ref 10765 ref cons nil cons 10800 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3916 ref 153 ref 10779 ref cons nil cons 10801 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3918 ref 10801 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3919 ref 10778 ref appTerm absTerm appTerm nil cons cons 111 ref 3920 ref 10778 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3921 ref 10801 ref cons nil cons cons 811 ref subst eqMp nil 3923 ref 10780 remove cons nil cons cons 10802 def 126 ref subst 10802 remove 194 ref subst 10789 remove "_32347" 44 ref var 10803 def 71 ref 49 ref 9996 ref 10803 remove varTerm 10804 def appTerm appTerm 49 ref 3393 ref 10804 ref appTerm appTerm 49 ref 3395 ref 10804 ref appTerm appTerm 5028 ref 10804 remove appTerm appTerm appTerm appTerm appTerm 10086 ref appTerm absTerm 220 ref appTerm betaConv appThm 10790 remove 10073 ref 10086 ref appTerm refl appThm trans 10791 remove 3929 ref appThm eqMp sym 10074 ref 10775 ref appThm nil 139 ref 10765 remove cons nil cons nil cons cons 381 ref subst trans sym 145 ref eqMp eqMp eqMp nil 3933 ref 10801 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 ref 3934 ref 1335 ref 10779 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp eqMp nil 3935 ref 10801 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 10075 ref 10800 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 10076 ref 10086 ref appTerm absTerm appTerm nil cons cons 111 ref 10077 ref 10086 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10078 ref 10800 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp nil 151 ref 10104 remove cons 153 ref 10105 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 10774 remove 10087 ref appTerm nil cons cons 111 ref 71 ref 10087 remove appTerm 10084 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 216 ref 10079 ref 10194 remove subst appThm 10775 remove appThm appThm 10084 remove refl appThm sym 10080 ref 9080 remove subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 10103 remove appTerm thm nil 262 ref 9396 ref 99 ref 9397 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 905 ref 9401 ref appTerm 10805 def 2322 ref appTerm 10806 def 2369 ref appTerm 10807 def 2457 ref appTerm 10808 def appTerm 49 ref 6204 ref 9398 ref appTerm 2292 ref appTerm 2344 ref appTerm 2446 ref appTerm 10809 def appTerm 905 ref 9400 ref appTerm 2314 ref appTerm 2361 ref appTerm 2424 ref appTerm 10810 def appTerm 10811 def appTerm 10812 def absTerm 10813 def appTerm 10814 def absTerm 10815 def appTerm 10816 def absTerm 10817 def appTerm 10818 def absTerm 10819 def appTerm 10820 def absTerm 10821 def appTerm 10822 def absTerm 10823 def appTerm 10824 def absTerm 10825 def appTerm 10826 def absTerm 10827 def nil cons cons nil cons nil cons cons 663 ref subst 9396 ref nil 139 ref 10826 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10825 remove nil cons cons nil cons nil cons cons 643 ref subst 9397 ref nil 139 ref 10824 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10823 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 ref nil 139 ref 10822 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10821 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 ref nil 139 ref 10820 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10819 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 ref nil 139 ref 10818 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10817 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 ref nil 139 ref 10816 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 10815 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 ref nil 139 ref 10814 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 10813 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 ref nil 139 ref 10812 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10808 ref nil cons 10828 def cons 111 ref 10811 ref nil cons 10829 def cons nil cons cons nil cons cons 10830 def 335 ref subst 10830 ref 126 ref subst 10830 remove 194 ref subst 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 7182 ref 9429 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10831 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 10805 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm 10832 def appTerm 10833 def 9434 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10834 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 10806 remove 41 ref appTerm 547 ref appTerm 10835 def appTerm 10836 def 9438 ref appTerm absTerm appTerm absTerm appTerm absTerm 10837 def 2369 ref appTerm betaConv sym 542 ref 47 ref 66 ref 49 ref 10807 remove 547 ref appTerm 10838 def appTerm 10839 def 9442 ref appTerm absTerm appTerm absTerm 10840 def 2457 ref appTerm betaConv sym 66 ref 49 ref 10808 ref appTerm 10841 def 9445 ref appTerm absTerm 10842 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 10828 ref cons nil cons nil cons cons 146 ref subst 10808 ref assume eqMp 10843 def appThm 10844 def 9453 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10842 remove nil cons cons 1331 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10840 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10837 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10834 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10831 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10831 remove appTerm nil cons cons 111 ref 10809 remove nil cons 10845 def cons nil cons cons nil cons cons 175 ref subst proveHyp 9457 ref 552 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 7182 ref 9459 ref appTerm 10846 def absTerm 10847 def appTerm 10848 def absTerm 10849 def appTerm 10850 def absTerm 10851 def appTerm 10852 def absTerm 10853 def appTerm 10854 def absTerm 10855 def appTerm 10856 def appTerm 10857 def 6204 remove 9458 ref appTerm 76 ref appTerm 81 ref appTerm 556 ref appTerm 10858 def appTerm 10859 def absTerm 10860 def 556 ref appTerm 10861 def betaConv 70 ref 68 ref 10860 ref appTerm 10862 def absTerm 10863 def 81 ref appTerm 10864 def betaConv 69 ref 68 ref 10863 ref appTerm 10865 def absTerm 10866 def 76 ref appTerm 10867 def betaConv 9456 ref 68 ref 10866 ref appTerm 10868 def absTerm 10869 def 9458 ref appTerm 10870 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 9456 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 10846 ref appTerm 10858 ref appTerm 10871 def absTerm 10872 def appTerm 10873 def absTerm 10874 def appTerm 10875 def absTerm 10876 def appTerm 10877 def absTerm 10878 def appTerm 10879 def absTerm 10880 def appTerm 10881 def absTerm 10882 def appTerm 10883 def absTerm 10884 def appTerm 10885 def absTerm 10886 def appTerm 10887 def absTerm 10888 def nil cons cons 10889 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10887 remove nil cons 10890 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10886 ref nil cons cons 10891 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10885 remove nil cons 10892 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10884 ref nil cons cons 10893 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10883 remove nil cons 10894 def cons nil cons nil cons cons 146 ref subst nil 208 ref 10882 ref nil cons cons 10895 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10881 remove nil cons 10896 def cons nil cons nil cons cons 146 ref subst nil 257 ref 10880 ref nil cons cons 10897 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 10879 remove nil cons 10898 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10878 ref nil cons cons 10899 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 10877 remove nil cons 10900 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10876 ref nil cons cons 10901 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 10875 remove nil cons 10902 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10874 ref nil cons cons 10903 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 10873 remove nil cons 10904 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10872 ref nil cons cons 10905 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 10871 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 7182 ref refl 9522 ref appThm appThm 9523 ref 6476 ref subst appThm sym nil 110 ref 7182 ref 9546 ref appTerm nil cons 10906 def cons 111 ref 905 remove 9539 ref appTerm 8751 ref appTerm 8754 ref appTerm 9542 ref appTerm nil cons 10907 def cons nil cons 10908 def cons nil cons cons 10909 def 126 ref subst 10909 remove 194 ref subst nil 7197 remove 9551 ref cons nil cons cons 10910 def 167 ref subst 10910 remove 334 ref subst 9555 ref 9556 ref 9559 ref 9560 ref 9564 ref 9565 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7182 ref 9567 ref appTerm absTerm appTerm absTerm 10911 def appTerm absTerm 10912 def appTerm absTerm 10913 def appTerm absTerm 10914 def appTerm absTerm 10915 def 861 ref appTerm betaConv sym 10914 ref 39 ref appTerm betaConv sym 10913 ref 41 ref appTerm betaConv sym 10912 ref 547 ref appTerm betaConv sym 10911 ref 74 ref appTerm betaConv sym 48 ref 7182 ref 9573 ref appTerm absTerm 10916 def 240 ref appTerm betaConv sym 216 ref 7199 remove appThm 9575 ref appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 10916 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 10911 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10912 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10913 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10914 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 10915 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 10915 remove appTerm nil cons cons 10908 remove cons nil cons cons 175 ref subst proveHyp 9577 ref 10640 ref subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 10906 remove cons 153 ref 10907 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10917 def nil 110 ref 99 ref 10888 ref appTerm 10918 def nil cons 10919 def cons 10920 def 111 ref 68 ref 10869 ref appTerm nil cons 10921 def cons nil cons cons nil cons cons 10922 def 175 ref subst proveHyp 10922 ref 126 ref subst 10922 remove 194 ref subst nil 262 ref 10869 remove nil cons cons 10923 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 10868 remove nil cons 10924 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10866 remove nil cons cons 10925 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 10865 remove nil cons 10926 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10863 remove nil cons cons 10927 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 10862 remove nil cons 10928 def cons nil cons nil cons cons 146 ref subst nil 262 ref 10860 remove nil cons cons 10929 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 10859 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10856 remove nil cons 10930 def cons 10931 def 111 ref 10858 ref nil cons 10932 def cons nil cons 10933 def cons nil cons cons 10934 def 126 ref subst 10934 remove 194 ref subst nil 10920 ref 10933 ref cons nil cons cons 10935 def 175 ref subst nil 10931 remove 111 ref 71 ref 10918 ref appTerm 10858 remove appTerm 10936 def nil cons 10937 def cons nil cons 10938 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 10855 ref 861 ref appTerm 10939 def appTerm 10936 ref appTerm 10940 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 10940 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10939 ref nil cons 10941 def cons 10938 ref cons nil cons cons 10942 def 126 ref subst 10942 remove 194 ref subst 10939 ref betaConv 10939 remove assume eqMp nil 110 ref 10854 ref nil cons cons 10938 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 10853 ref 39 ref appTerm 10943 def appTerm 10936 ref appTerm 10944 def absTerm 10945 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 10944 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10943 ref nil cons 10946 def cons 10938 ref cons nil cons cons 10947 def 126 ref subst 10947 remove 194 ref subst 10943 ref betaConv 10943 remove assume eqMp nil 110 ref 10852 ref nil cons cons 10938 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 10851 ref 41 ref appTerm 10948 def appTerm 10936 ref appTerm 10949 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 10949 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10948 ref nil cons 10950 def cons 10938 ref cons nil cons cons 10951 def 126 ref subst 10951 remove 194 ref subst 10948 ref betaConv 10948 remove assume eqMp nil 110 ref 10850 ref nil cons cons 10938 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 10849 ref 547 ref appTerm 10952 def appTerm 10936 ref appTerm 10953 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 10953 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10952 ref nil cons 10954 def cons 10938 ref cons nil cons cons 10955 def 126 ref subst 10955 remove 194 ref subst 10952 ref betaConv 10952 remove assume eqMp nil 110 ref 10848 ref nil cons cons 10938 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 10847 ref 74 ref appTerm 10956 def appTerm 10936 ref appTerm 10957 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 10957 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 10956 ref nil cons 10958 def cons 10938 ref cons nil cons cons 10959 def 126 ref subst 10959 remove 194 ref subst 10956 ref betaConv 10956 remove assume eqMp nil 110 ref 10846 remove nil cons 10960 def cons 10961 def 10938 remove cons nil cons cons 10962 def 175 ref subst proveHyp 10962 ref 126 ref subst 10962 remove 194 ref subst 10935 ref 126 ref subst 10935 remove 194 ref subst nil 10961 remove 10933 remove cons nil cons cons 175 ref subst 10872 remove 556 ref appTerm 10963 def betaConv 10874 remove 81 ref appTerm 10964 def betaConv 10876 remove 76 ref appTerm 10965 def betaConv 10878 remove 9458 ref appTerm 10966 def betaConv 10880 remove 74 ref appTerm 10967 def betaConv 10882 remove 547 ref appTerm 10968 def betaConv 10884 remove 41 ref appTerm 10969 def betaConv 10886 remove 39 ref appTerm 10970 def betaConv 10888 remove 861 ref appTerm 10971 def betaConv nil 10920 remove 111 ref 10971 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 10889 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10890 remove cons 111 ref 10970 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10891 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10892 remove cons 111 ref 10969 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10893 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10894 remove cons 111 ref 10968 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 10895 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10896 remove cons 111 ref 10967 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10897 remove 260 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10898 remove cons 111 ref 10966 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10899 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10900 remove cons 111 ref 10965 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10901 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10902 remove cons 111 ref 10964 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10903 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10904 remove cons 111 ref 10963 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10905 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10919 remove cons 10972 def 153 ref 10932 remove cons nil cons 10973 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 10960 remove cons 153 ref 10937 remove cons nil cons 10974 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 10958 remove cons 10974 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 10847 ref 797 ref appTerm appTerm 10936 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10848 remove appTerm 10936 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 10847 remove nil cons cons 10974 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10954 remove cons 10974 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10849 ref 1893 ref appTerm appTerm 10936 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10850 remove appTerm 10936 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10849 remove nil cons cons 10974 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10950 remove cons 10974 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 10851 ref 1893 ref appTerm appTerm 10936 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 10852 remove appTerm 10936 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10851 remove nil cons cons 10974 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10946 remove cons 10974 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 10945 remove appTerm nil cons cons 111 ref 71 ref 10854 remove appTerm 10936 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10853 remove nil cons cons 10974 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 10941 remove cons 10974 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 10855 ref 39 ref appTerm appTerm 10936 ref appTerm absTerm appTerm nil cons cons 111 ref 10857 remove 10936 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10855 remove nil cons cons 10974 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 10930 remove cons 10973 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10972 remove 153 ref 10921 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 10921 remove cons 111 ref 10870 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10923 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10924 remove cons 111 ref 10867 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10925 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10926 remove cons 111 ref 10864 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10927 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 10928 remove cons 111 ref 10861 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 10929 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 10845 remove cons 111 ref 10810 ref nil cons 10975 def cons nil cons 10976 def cons nil cons cons 194 ref subst proveHyp 542 ref 71 ref 10838 remove appTerm 9976 ref appTerm absTerm 10977 def 2457 ref appTerm 10978 def betaConv 26 ref 99 ref 542 ref 71 ref 10835 remove appTerm 9979 ref appTerm absTerm appTerm absTerm 10979 def 2369 ref appTerm 10980 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 10832 remove appTerm 9982 ref appTerm absTerm appTerm absTerm appTerm absTerm 10981 def 2322 ref appTerm 10982 def betaConv 7034 remove 9401 ref appTerm 10983 def betaConv 7088 remove nil 7090 remove 111 ref 10983 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7036 remove 9454 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10981 ref appTerm nil cons cons 111 ref 10982 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10981 remove nil cons cons 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10979 ref appTerm nil cons cons 111 ref 10980 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10979 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 10977 ref appTerm nil cons cons 111 ref 10978 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 10977 remove nil cons cons 2744 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 10808 ref appTerm 10984 def 9987 ref appTerm nil cons cons 10976 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 10843 remove appThm 9995 ref appThm 9999 ref trans appThm 10810 ref refl 10985 def appThm sym nil 257 ref 493 ref 10002 ref 10810 ref appTerm 10986 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 ref nil 139 ref 10986 remove nil cons cons nil cons nil cons cons 146 ref subst nil 10005 ref 10976 ref cons nil cons cons 10987 def 126 ref subst 10987 remove 194 ref subst 10007 ref nil 10009 ref 10976 ref cons nil cons cons 175 ref subst proveHyp 3408 ref nil 3410 ref 111 ref 10010 ref 10810 ref appTerm 10988 def nil cons 10989 def cons nil cons 10990 def cons nil cons cons 10991 def 175 ref subst proveHyp 10991 ref 126 ref subst 10991 remove 194 ref subst nil 257 ref 48 ref 3416 ref 10988 ref appTerm 10992 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 10992 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3419 ref 10990 ref cons nil cons cons 10993 def 126 ref subst 10993 remove 194 ref subst 3421 ref nil 3423 ref 10990 ref cons nil cons cons 10994 def 175 ref subst proveHyp 10994 ref 126 ref subst 10994 remove 194 ref subst 36 ref "_32219" 44 ref var 10995 def 71 ref 49 ref 9996 ref 10995 remove varTerm 10996 def appTerm appTerm 49 ref 3393 ref 10996 ref appTerm appTerm 49 ref 3395 ref 10996 ref appTerm appTerm 5028 ref 10996 remove appTerm appTerm appTerm appTerm appTerm 10810 ref appTerm absTerm 10997 def 496 ref appTerm 10998 def appTerm refl 10999 def 10997 ref 309 ref appTerm betaConv appThm 155 ref 10998 remove betaConv appThm 11000 def 10024 ref 10810 ref appTerm refl appThm trans 10997 remove refl 11001 def 3434 ref appThm eqMp sym 10026 ref 10985 ref appThm sym nil 10029 ref 10976 ref cons nil cons cons 11002 def 126 ref subst 11002 remove 194 ref subst 10032 ref 10033 ref 5060 ref 5061 ref 5064 ref 5065 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7182 remove 10034 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11003 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 10833 remove 10038 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11004 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 10836 remove 10040 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11005 def 2369 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 10839 remove 10042 ref appTerm absTerm appTerm absTerm appTerm absTerm 11006 def 2457 ref appTerm betaConv sym 271 ref 47 ref 48 ref 10841 ref 10044 ref appTerm absTerm appTerm absTerm 11007 def 240 ref appTerm betaConv sym 48 ref 10841 ref 10049 ref appTerm absTerm 11008 def 57 ref appTerm betaConv sym nil 10051 ref 10053 ref 3127 ref 10828 ref cons nil cons cons cons nil cons cons 3479 ref subst nil 5085 ref 3469 ref 3127 ref 10841 remove 10047 ref appTerm 11009 def nil cons cons nil cons cons cons nil cons cons 3479 ref subst nil 5087 ref 5088 ref 3127 ref 49 ref 11009 remove appTerm 3461 ref appTerm nil cons cons nil cons cons cons nil cons cons 3479 ref subst trans trans 216 ref 216 ref 216 ref 10844 remove 10055 ref appThm 10056 ref trans appThm 3480 ref appThm appThm 3482 ref appThm appThm 5089 ref appThm trans sym 10065 ref eqMp eqMp 256 ref 257 ref 11008 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 11007 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11006 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11005 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11004 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11003 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 11003 remove appTerm nil cons cons 10976 remove cons nil cons cons 175 ref subst proveHyp 10066 ref 10640 remove subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 10067 ref 153 ref 10975 ref cons nil cons 11010 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3916 ref 153 ref 10989 ref cons nil cons 11011 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3918 ref 11011 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3919 ref 10988 ref appTerm absTerm appTerm nil cons cons 111 ref 3920 ref 10988 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3921 ref 11011 ref cons nil cons cons 811 ref subst eqMp nil 3923 ref 10990 remove cons nil cons cons 11012 def 126 ref subst 11012 remove 194 ref subst 10999 remove "_32217" 44 ref var 11013 def 71 ref 49 ref 9996 ref 11013 remove varTerm 11014 def appTerm appTerm 49 ref 3393 ref 11014 ref appTerm appTerm 49 ref 3395 ref 11014 ref appTerm appTerm 5028 ref 11014 remove appTerm appTerm appTerm appTerm appTerm 10810 ref appTerm absTerm 220 ref appTerm betaConv appThm 11000 remove 10073 ref 10810 ref appTerm refl appThm trans 11001 remove 3929 ref appThm eqMp sym 10074 ref 10985 ref appThm nil 139 ref 10975 remove cons nil cons nil cons cons 381 ref subst trans sym 145 ref eqMp eqMp eqMp nil 3933 ref 11011 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 ref 3934 ref 1335 ref 10989 remove cons nil cons cons cons nil cons cons 1350 ref subst proveHyp proveHyp eqMp nil 3935 ref 11011 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 10075 ref 11010 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 10076 ref 10810 ref appTerm absTerm appTerm nil cons cons 111 ref 10077 ref 10810 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 10078 ref 11010 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp eqMp nil 151 ref 10828 remove cons 153 ref 10829 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp nil 110 ref 10984 remove 10811 ref appTerm nil cons cons 111 ref 71 ref 10811 remove appTerm 10808 ref appTerm nil cons cons nil cons cons nil cons cons 194 ref subst proveHyp 226 ref 216 ref 10079 ref 6476 remove subst appThm 10985 remove appThm appThm 10808 remove refl appThm sym 10080 ref 9077 remove subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 10827 remove appTerm thm nil 262 ref 9396 ref 99 ref 9397 ref 68 ref 2291 ref 99 ref 2313 ref 68 ref 2343 ref 99 ref 2360 ref 68 ref 2445 ref 99 ref 2423 ref 36 ref 968 ref 9401 ref appTerm 11015 def 2322 ref appTerm 11016 def 2369 ref appTerm 11017 def 2457 ref appTerm 11018 def appTerm 49 ref 6520 ref 9398 remove appTerm 2292 remove appTerm 2344 remove appTerm 2446 remove appTerm 11019 def appTerm 968 ref 9400 remove appTerm 2314 remove appTerm 2361 remove appTerm 2424 remove appTerm 11020 def appTerm 11021 def appTerm 11022 def absTerm 11023 def appTerm 11024 def absTerm 11025 def appTerm 11026 def absTerm 11027 def appTerm 11028 def absTerm 11029 def appTerm 11030 def absTerm 11031 def appTerm 11032 def absTerm 11033 def appTerm 11034 def absTerm 11035 def appTerm 11036 def absTerm 11037 def nil cons cons nil cons nil cons cons 663 ref subst 9396 remove nil 139 ref 11036 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11035 remove nil cons cons nil cons nil cons cons 643 ref subst 9397 remove nil 139 ref 11034 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 11033 remove nil cons cons nil cons nil cons cons 663 ref subst 2291 remove nil 139 ref 11032 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11031 remove nil cons cons nil cons nil cons cons 643 ref subst 2313 remove nil 139 ref 11030 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 11029 remove nil cons cons nil cons nil cons cons 663 ref subst 2343 remove nil 139 ref 11028 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11027 remove nil cons cons nil cons nil cons cons 643 ref subst 2360 remove nil 139 ref 11026 remove nil cons cons nil cons nil cons cons 146 ref subst nil 262 ref 11025 remove nil cons cons nil cons nil cons cons 663 ref subst 2445 remove nil 139 ref 11024 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11023 remove nil cons cons nil cons nil cons cons 643 ref subst 2423 remove nil 139 ref 11022 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11018 ref nil cons 11038 def cons 111 ref 11021 ref nil cons 11039 def cons nil cons cons nil cons cons 11040 def 335 remove subst 11040 ref 126 ref subst 11040 remove 194 ref subst 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 7200 ref 9429 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11041 def 9401 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 11015 remove 39 ref appTerm 41 ref appTerm 547 ref appTerm 11042 def appTerm 11043 def 9434 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11044 def 2322 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 66 ref 49 ref 11016 remove 41 ref appTerm 547 ref appTerm 11045 def appTerm 11046 def 9438 remove appTerm absTerm appTerm absTerm appTerm absTerm 11047 def 2369 ref appTerm betaConv sym 542 ref 47 ref 66 ref 49 ref 11017 remove 547 ref appTerm 11048 def appTerm 11049 def 9442 remove appTerm absTerm appTerm absTerm 11050 def 2457 ref appTerm betaConv sym 66 ref 49 ref 11018 ref appTerm 11051 def 9445 remove appTerm absTerm 11052 def 220 ref appTerm betaConv sym 216 ref nil 139 ref 11038 ref cons nil cons nil cons cons 146 ref subst 11018 ref assume eqMp 11053 def appThm 11054 def 9453 remove appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 11052 remove nil cons cons 1331 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11050 remove nil cons cons 2744 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11047 remove nil cons cons 3240 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11044 remove nil cons cons 3241 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11041 ref nil cons cons 9454 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 11041 remove appTerm nil cons cons 111 ref 11019 remove nil cons 11055 def cons nil cons cons nil cons cons 175 ref subst proveHyp 9457 remove 552 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 66 ref 7200 ref 9459 remove appTerm 11056 def absTerm 11057 def appTerm 11058 def absTerm 11059 def appTerm 11060 def absTerm 11061 def appTerm 11062 def absTerm 11063 def appTerm 11064 def absTerm 11065 def appTerm 11066 def appTerm 11067 def 6520 remove 9458 ref appTerm 76 ref appTerm 81 ref appTerm 556 ref appTerm 11068 def appTerm 11069 def absTerm 11070 def 556 ref appTerm 11071 def betaConv 70 ref 68 ref 11070 ref appTerm 11072 def absTerm 11073 def 81 ref appTerm 11074 def betaConv 69 ref 68 ref 11073 ref appTerm 11075 def absTerm 11076 def 76 ref appTerm 11077 def betaConv 9456 ref 68 ref 11076 ref appTerm 11078 def absTerm 11079 def 9458 ref appTerm 11080 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 66 ref 68 ref 9456 ref 68 ref 69 ref 68 ref 70 ref 68 ref 552 ref 71 ref 11056 ref appTerm 11068 ref appTerm 11081 def absTerm 11082 def appTerm 11083 def absTerm 11084 def appTerm 11085 def absTerm 11086 def appTerm 11087 def absTerm 11088 def appTerm 11089 def absTerm 11090 def appTerm 11091 def absTerm 11092 def appTerm 11093 def absTerm 11094 def appTerm 11095 def absTerm 11096 def appTerm 11097 def absTerm 11098 def nil cons cons 11099 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 11097 remove nil cons 11100 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11096 ref nil cons cons 11101 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 11095 remove nil cons 11102 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11094 ref nil cons cons 11103 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 11093 remove nil cons 11104 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11092 ref nil cons cons 11105 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 11091 remove nil cons 11106 def cons nil cons nil cons cons 146 ref subst nil 257 ref 11090 ref nil cons cons 11107 def nil cons nil cons cons 662 ref subst 66 ref nil 139 ref 11089 remove nil cons 11108 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11088 ref nil cons cons 11109 def nil cons nil cons cons 663 ref subst 9456 ref nil 139 ref 11087 remove nil cons 11110 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11086 ref nil cons cons 11111 def nil cons nil cons cons 663 ref subst 69 ref nil 139 ref 11085 remove nil cons 11112 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11084 ref nil cons cons 11113 def nil cons nil cons cons 663 ref subst 70 ref nil 139 ref 11083 remove nil cons 11114 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11082 ref nil cons cons 11115 def nil cons nil cons cons 663 ref subst 552 ref nil 139 ref 11081 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 7200 ref refl 9522 remove appThm appThm 9523 remove 2165 ref 6530 remove 6519 remove appTerm 11116 def absTerm 11117 def 2168 remove appTerm 11118 def betaConv 1001 ref 68 ref 11117 ref appTerm 11119 def absTerm 11120 def 1002 remove appTerm 11121 def betaConv 263 ref 68 ref 11120 ref appTerm 11122 def absTerm 11123 def 627 remove appTerm 11124 def betaConv 227 ref 68 ref 11123 ref appTerm 11125 def absTerm 11126 def 233 remove appTerm 11127 def betaConv 225 ref 227 remove 225 ref 263 remove 225 ref 1001 remove 225 remove 2165 remove 11116 remove assume sym 6522 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm 6654 remove eqMp nil 110 ref 68 ref 11126 ref appTerm nil cons cons 111 ref 11127 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 11126 remove nil cons cons 265 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11125 remove nil cons cons 111 ref 11124 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 11123 remove nil cons cons 3024 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11122 remove nil cons cons 111 ref 11121 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 11120 remove nil cons cons 2495 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11119 remove nil cons cons 111 ref 11118 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 262 ref 11117 remove nil cons cons 5973 remove cons nil cons cons 205 ref subst eqMp eqMp 11128 def subst appThm sym nil 110 ref 7200 ref 9546 remove appTerm nil cons 11129 def cons 111 ref 968 ref 9539 remove appTerm 8751 remove appTerm 8754 remove appTerm 9542 remove appTerm nil cons 11130 def cons nil cons 11131 def cons nil cons cons 11132 def 126 ref subst 11132 remove 194 ref subst nil 7215 remove 9551 remove cons nil cons cons 11133 def 167 ref subst 11133 remove 334 ref subst 9555 remove 9556 remove 9559 remove 9560 remove 9564 remove 9565 remove 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7200 ref 9567 remove appTerm absTerm appTerm absTerm 11134 def appTerm absTerm 11135 def appTerm absTerm 11136 def appTerm absTerm 11137 def appTerm absTerm 11138 def 861 ref appTerm betaConv sym 11137 ref 39 ref appTerm betaConv sym 11136 ref 41 ref appTerm betaConv sym 11135 ref 547 ref appTerm betaConv sym 11134 ref 74 ref appTerm betaConv sym 48 ref 7200 ref 9573 remove appTerm absTerm 11139 def 240 ref appTerm betaConv sym 216 ref 7269 remove appThm 9575 remove appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 11139 remove nil cons cons 704 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 11134 remove nil cons cons 260 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11135 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11136 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11137 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11138 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 11138 remove appTerm nil cons cons 11131 remove cons nil cons cons 175 ref subst proveHyp 9577 remove 5102 ref 71 ref 725 ref 857 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7200 ref 9581 ref appTerm 11140 def absTerm 11141 def appTerm 11142 def absTerm 11143 def appTerm 11144 def absTerm 11145 def appTerm 11146 def absTerm 11147 def appTerm 11148 def absTerm 11149 def appTerm 11150 def absTerm 11151 def appTerm 11152 def appTerm 11153 def 968 remove 9578 ref appTerm 3518 ref appTerm 3521 ref appTerm 5105 ref appTerm 11154 def appTerm 11155 def absTerm 11156 def 5105 ref appTerm 11157 def betaConv 3513 ref 99 ref 11156 ref appTerm 11158 def absTerm 11159 def 3521 ref appTerm 11160 def betaConv 3515 ref 99 ref 11159 ref appTerm 11161 def absTerm 11162 def 3518 ref appTerm 11163 def betaConv 9576 ref 99 ref 11162 ref appTerm 11164 def absTerm 11165 def 9578 ref appTerm 11166 def betaConv nil 208 ref 857 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 ref 48 ref 99 ref 9576 ref 99 ref 3515 ref 99 ref 3513 ref 99 ref 5102 ref 71 ref 11140 ref appTerm 11154 ref appTerm 11167 def absTerm 11168 def appTerm 11169 def absTerm 11170 def appTerm 11171 def absTerm 11172 def appTerm 11173 def absTerm 11174 def appTerm 11175 def absTerm 11176 def appTerm 11177 def absTerm 11178 def appTerm 11179 def absTerm 11180 def appTerm 11181 def absTerm 11182 def appTerm 11183 def absTerm 11184 def appTerm 11185 def absTerm 11186 def nil cons cons 11187 def nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 11185 remove nil cons 11188 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11184 ref nil cons cons 11189 def nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 11183 remove nil cons 11190 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11182 ref nil cons cons 11191 def nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 11181 remove nil cons 11192 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11180 ref nil cons cons 11193 def nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 11179 remove nil cons 11194 def cons nil cons nil cons cons 146 ref subst nil 257 ref 11178 ref nil cons cons 11195 def nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 11177 remove nil cons 11196 def cons nil cons nil cons cons 146 ref subst nil 257 ref 11176 ref nil cons cons 11197 def nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 11175 remove nil cons 11198 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11174 ref nil cons cons 11199 def nil cons nil cons cons 643 ref subst 9576 ref nil 139 ref 11173 remove nil cons 11200 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11172 ref nil cons cons 11201 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 11171 remove nil cons 11202 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11170 ref nil cons cons 11203 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 11169 remove nil cons 11204 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11168 ref nil cons cons 11205 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 11167 remove nil cons cons nil cons nil cons cons 146 ref subst 226 ref 216 ref 991 ref appThm 9648 remove appThm appThm 9650 remove 991 remove subst appThm sym nil 110 ref 49 ref 978 ref appTerm 9581 remove appTerm nil cons 11206 def cons 111 ref 725 ref 863 ref 49 ref 615 ref 9578 ref appTerm 3518 ref appTerm 11207 def 866 ref appTerm appTerm 974 remove 3521 ref appTerm 5105 ref appTerm appTerm absTerm 11208 def appTerm 11209 def nil cons 11210 def cons nil cons 11211 def cons nil cons cons 11212 def 126 ref subst 11212 remove 194 ref subst nil 151 ref 978 remove nil cons 11213 def cons 9661 remove cons nil cons cons 11214 def 167 ref subst 11214 remove 334 remove subst nil 110 ref 11213 remove cons 11211 ref cons nil cons cons 175 ref subst nil 208 ref 863 ref 7218 remove 11209 ref appTerm 11215 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 863 remove nil 139 ref 11215 remove nil cons cons nil cons nil cons cons 146 ref subst nil 7221 remove 11211 ref cons nil cons cons 11216 def 126 ref subst 11216 remove 194 ref subst 7224 remove nil 7226 remove 11211 ref cons nil cons cons 11217 def 175 ref subst proveHyp 11217 ref 126 ref subst 11217 remove 194 ref subst 7232 remove 7233 remove 9668 remove 9669 remove 5205 remove 5206 remove 5209 remove 5210 remove 9681 remove nil 9682 remove 11211 ref cons nil cons cons 175 ref subst proveHyp 48 ref 71 ref 973 ref 6779 ref appTerm appTerm 6853 remove appTerm absTerm 11218 def 6777 remove appTerm 11219 def betaConv 542 ref 65 ref 48 ref 71 ref 49 ref 7234 remove appTerm 11220 def 6779 ref appTerm appTerm 550 ref appTerm absTerm appTerm absTerm 11221 def 866 ref appTerm 11222 def betaConv 26 ref 99 ref 542 ref 65 ref 48 ref 71 ref 49 ref 7238 remove appTerm 11223 def 6779 remove appTerm appTerm 550 remove appTerm absTerm appTerm absTerm appTerm absTerm 11224 def 39 ref appTerm 11225 def betaConv 5872 remove 861 ref appTerm 11226 def betaConv 5881 remove nil 6580 remove 111 ref 11226 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 5873 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 11224 ref appTerm nil cons cons 111 ref 11225 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11224 remove nil cons cons 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 11221 ref appTerm nil cons cons 111 ref 11222 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11221 remove nil cons cons 6850 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 65 ref 11218 ref appTerm nil cons cons 111 ref 11219 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11218 remove nil cons cons 7115 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 71 ref 973 ref 7110 remove appTerm appTerm 7360 remove appTerm nil cons cons 9698 remove cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 7510 remove appThm 9699 remove appThm 9700 remove trans appThm 9701 remove appThm sym 9714 remove eqMp eqMp nil 9716 remove 111 ref 9717 remove 11209 ref appTerm 11227 def nil cons cons nil cons 11228 def cons nil cons cons 194 ref subst proveHyp nil 208 ref 9720 ref 9723 remove 11209 ref appTerm 11229 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 9720 remove nil 139 ref 11229 remove nil cons cons nil cons nil cons cons 146 ref subst nil 9726 remove 11211 ref cons nil cons cons 11230 def 126 ref subst 11230 remove 194 ref subst 9728 remove nil 9731 remove 11211 remove cons nil cons cons 11231 def 175 ref subst proveHyp 11231 ref 126 ref subst 11231 remove 194 ref subst 11208 ref 9721 ref appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5863 ref 9736 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11232 def 861 ref appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 11223 remove 9738 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11233 def 39 ref appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 11220 remove 9740 remove appTerm absTerm appTerm absTerm appTerm absTerm 11234 def 866 ref appTerm betaConv sym 271 ref 47 ref 48 ref 973 remove 9742 remove appTerm absTerm 11235 def appTerm absTerm 11236 def 275 ref appTerm betaConv sym 11235 ref 57 ref appTerm betaConv sym 7509 remove 9747 remove appThm 528 ref trans sym 145 ref eqMp eqMp 256 ref 257 ref 11235 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 11236 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11234 remove nil cons cons 6850 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11233 remove nil cons cons 210 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11232 ref nil cons cons 886 ref cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 11232 remove appTerm nil cons cons 111 ref 11207 remove 9721 ref appTerm nil cons 11237 def cons nil cons cons nil cons cons 175 ref subst proveHyp 9752 remove 5102 ref 71 ref 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 9361 ref absTerm 11238 def appTerm 11239 def absTerm 11240 def appTerm 11241 def absTerm 11242 def appTerm 11243 def absTerm 11244 def appTerm 11245 def absTerm 11246 def appTerm 11247 def appTerm 11248 def 9362 ref appTerm 11249 def absTerm 11250 def 5105 ref appTerm 11251 def betaConv 3513 ref 99 ref 11250 ref appTerm 11252 def absTerm 11253 def 3521 ref appTerm 11254 def betaConv 3515 ref 99 ref 11253 ref appTerm 11255 def absTerm 11256 def 3518 ref appTerm 11257 def betaConv 9394 remove nil 110 ref 9395 ref nil cons 11258 def cons 11259 def 111 ref 99 ref 11256 ref appTerm nil cons 11260 def cons nil cons cons nil cons cons 11261 def 175 ref subst proveHyp 11261 ref 126 ref subst 11261 remove 194 ref subst nil 208 ref 11256 remove nil cons cons 11262 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 11255 remove nil cons 11263 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11253 remove nil cons cons 11264 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 11252 remove nil cons 11265 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11250 remove nil cons cons 11266 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 11249 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11247 remove nil cons 11267 def cons 11268 def 111 ref 9362 ref nil cons 11269 def cons nil cons 11270 def cons nil cons cons 11271 def 126 ref subst 11271 remove 194 ref subst nil 11259 ref 11270 ref cons nil cons cons 11272 def 175 ref subst nil 11268 remove 111 ref 71 ref 9395 remove appTerm 9362 remove appTerm 11273 def nil cons 11274 def cons nil cons 11275 def cons nil cons cons 175 ref subst nil 208 ref 29 ref 71 ref 11246 ref 39 ref appTerm 11276 def appTerm 11273 ref appTerm 11277 def absTerm 11278 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 11277 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11276 ref nil cons 11279 def cons 11275 ref cons nil cons cons 11280 def 126 ref subst 11280 remove 194 ref subst 11276 ref betaConv 11276 remove assume eqMp nil 110 ref 11245 ref nil cons cons 11275 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 11244 ref 41 ref appTerm 11281 def appTerm 11273 ref appTerm 11282 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 11282 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11281 ref nil cons 11283 def cons 11275 ref cons nil cons cons 11284 def 126 ref subst 11284 remove 194 ref subst 11281 ref betaConv 11281 remove assume eqMp nil 110 ref 11243 ref nil cons cons 11275 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 11242 ref 547 ref appTerm 11285 def appTerm 11273 ref appTerm 11286 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 11286 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11285 ref nil cons 11287 def cons 11275 ref cons nil cons cons 11288 def 126 ref subst 11288 remove 194 ref subst 11285 ref betaConv 11285 remove assume eqMp nil 110 ref 11241 ref nil cons cons 11275 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 11240 ref 275 ref appTerm 11289 def appTerm 11273 ref appTerm 11290 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 11290 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11289 ref nil cons 11291 def cons 11275 ref cons nil cons cons 11292 def 126 ref subst 11292 remove 194 ref subst 11289 ref betaConv 11289 remove assume eqMp nil 110 ref 11239 ref nil cons cons 11275 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 11238 ref 57 ref appTerm 11293 def appTerm 11273 ref appTerm 11294 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 11294 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11293 ref nil cons 11295 def cons 11275 ref cons nil cons cons 11296 def 126 ref subst 11296 remove 194 ref subst 11293 ref betaConv 11293 remove assume eqMp nil 110 ref 9361 remove nil cons 11297 def cons 11298 def 11275 remove cons nil cons cons 11299 def 175 ref subst proveHyp 11299 ref 126 ref subst 11299 remove 194 ref subst 11272 ref 126 ref subst 11272 remove 194 ref subst nil 11298 remove 11270 remove cons nil cons cons 175 ref subst 9364 remove 5105 ref appTerm 11300 def betaConv 9366 remove 3521 ref appTerm 11301 def betaConv 9368 remove 3518 ref appTerm 11302 def betaConv 9370 remove 57 ref appTerm 11303 def betaConv 9372 remove 275 ref appTerm 11304 def betaConv 9374 remove 547 ref appTerm 11305 def betaConv 9376 remove 41 ref appTerm 11306 def betaConv 9378 remove 39 ref appTerm 11307 def betaConv nil 11259 remove 111 ref 11307 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 9379 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9380 remove cons 111 ref 11306 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9381 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9382 remove cons 111 ref 11305 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9383 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9384 remove cons 111 ref 11304 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9385 remove 291 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9386 remove cons 111 ref 11303 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 9387 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9388 remove cons 111 ref 11302 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9389 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9390 remove cons 111 ref 11301 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9391 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 9392 remove cons 111 ref 11300 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 9393 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11258 remove cons 11308 def 153 ref 11269 remove cons nil cons 11309 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 11297 remove cons 153 ref 11274 remove cons nil cons 11310 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 11295 remove cons 11310 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 11238 ref 797 ref appTerm appTerm 11273 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11239 remove appTerm 11273 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11238 remove nil cons cons 11310 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11291 remove cons 11310 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 11240 ref 797 ref appTerm appTerm 11273 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11241 remove appTerm 11273 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11240 remove nil cons cons 11310 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11287 remove cons 11310 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 11242 ref 1893 ref appTerm appTerm 11273 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11243 remove appTerm 11273 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11242 remove nil cons cons 11310 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11283 remove cons 11310 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 11244 ref 1893 ref appTerm appTerm 11273 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11245 remove appTerm 11273 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11244 remove nil cons cons 11310 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11279 remove cons 11310 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 11278 remove appTerm nil cons cons 111 ref 11248 remove 11273 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11246 remove nil cons cons 11310 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11267 remove cons 11309 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11308 remove 153 ref 11260 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 11260 remove cons 111 ref 11257 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11262 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11263 remove cons 111 ref 11254 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11264 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11265 remove cons 111 ref 11251 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11266 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp 11311 def subst eqMp nil 110 ref 11237 remove cons 111 ref 615 remove 9721 remove appTerm 3521 ref appTerm 5105 ref appTerm nil cons cons nil cons 11312 def cons nil cons cons 194 ref subst proveHyp 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 5863 remove 9830 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11313 def 866 remove appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 49 ref 975 remove appTerm 9833 remove appTerm absTerm 11314 def appTerm absTerm 11315 def appTerm absTerm 11316 def appTerm absTerm 11317 def 41 ref appTerm betaConv sym 11316 ref 547 ref appTerm betaConv sym 11315 ref 275 ref appTerm betaConv sym 11314 ref 57 ref appTerm betaConv sym 216 ref 7260 remove appThm 9839 remove appThm 528 remove trans sym 145 ref eqMp eqMp 256 ref 257 ref 11314 remove nil cons cons 293 ref cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 11315 remove nil cons cons 291 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11316 remove nil cons cons 595 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11317 remove nil cons cons 213 ref cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11313 ref nil cons cons 6850 remove cons nil cons cons 724 ref subst proveHyp nil 110 ref 725 ref 11313 remove appTerm nil cons cons 11312 remove cons nil cons cons 175 ref subst proveHyp 9840 remove 11311 remove subst eqMp eqMp eqMp 207 ref 208 ref 11208 remove nil cons cons 9841 remove cons nil cons cons 724 ref subst proveHyp eqMp nil 9842 remove 153 ref 11210 ref cons nil cons 11318 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 9844 remove 11318 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 9845 remove 11209 ref appTerm absTerm appTerm nil cons cons 11228 remove cons nil cons cons 175 ref subst proveHyp 207 ref 9846 remove 11318 ref cons nil cons cons 811 ref subst eqMp eqMp nil 110 ref 9847 remove 11227 remove appTerm nil cons cons 111 ref 9848 remove 11209 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp nil 1340 remove 11210 remove cons 9849 remove cons nil cons cons 4271 remove subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 7261 remove 11318 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 7262 remove 11318 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 7263 remove 11209 ref appTerm absTerm appTerm nil cons cons 111 ref 7264 remove 11209 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 7265 remove 11318 ref cons nil cons cons 811 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 151 ref 11206 remove cons 11318 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 11319 def nil 110 ref 99 ref 11186 ref appTerm 11320 def nil cons 11321 def cons 11322 def 111 ref 99 ref 11165 ref appTerm nil cons 11323 def cons nil cons cons nil cons cons 11324 def 175 ref subst proveHyp 11324 ref 126 ref subst 11324 remove 194 ref subst nil 208 ref 11165 remove nil cons cons 11325 def nil cons nil cons cons 643 ref subst 9576 remove nil 139 ref 11164 remove nil cons 11326 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11162 remove nil cons cons 11327 def nil cons nil cons cons 643 ref subst 3515 ref nil 139 ref 11161 remove nil cons 11328 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11159 remove nil cons cons 11329 def nil cons nil cons cons 643 ref subst 3513 ref nil 139 ref 11158 remove nil cons 11330 def cons nil cons nil cons cons 146 ref subst nil 208 ref 11156 remove nil cons cons 11331 def nil cons nil cons cons 643 ref subst 5102 ref nil 139 ref 11155 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11152 remove nil cons 11332 def cons 11333 def 111 ref 11154 ref nil cons 11334 def cons nil cons 11335 def cons nil cons cons 11336 def 126 ref subst 11336 remove 194 ref subst nil 11322 ref 11335 ref cons nil cons cons 11337 def 175 ref subst nil 11333 remove 111 ref 71 ref 11320 ref appTerm 11154 remove appTerm 11338 def nil cons 11339 def cons nil cons 11340 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 11151 ref 861 ref appTerm 11341 def appTerm 11338 ref appTerm 11342 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 11342 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11341 ref nil cons 11343 def cons 11340 ref cons nil cons cons 11344 def 126 ref subst 11344 remove 194 ref subst 11341 ref betaConv 11341 remove assume eqMp nil 110 ref 11150 ref nil cons cons 11340 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 11149 ref 39 ref appTerm 11345 def appTerm 11338 ref appTerm 11346 def absTerm 11347 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 11346 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11345 ref nil cons 11348 def cons 11340 ref cons nil cons cons 11349 def 126 ref subst 11349 remove 194 ref subst 11345 ref betaConv 11345 remove assume eqMp nil 110 ref 11148 ref nil cons cons 11340 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 11147 ref 41 ref appTerm 11350 def appTerm 11338 ref appTerm 11351 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 11351 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11350 ref nil cons 11352 def cons 11340 ref cons nil cons cons 11353 def 126 ref subst 11353 remove 194 ref subst 11350 ref betaConv 11350 remove assume eqMp nil 110 ref 11146 ref nil cons cons 11340 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 11145 ref 547 ref appTerm 11354 def appTerm 11338 ref appTerm 11355 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 11355 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11354 ref nil cons 11356 def cons 11340 ref cons nil cons cons 11357 def 126 ref subst 11357 remove 194 ref subst 11354 ref betaConv 11354 remove assume eqMp nil 110 ref 11144 ref nil cons cons 11340 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 271 ref 71 ref 11143 ref 275 ref appTerm 11358 def appTerm 11338 ref appTerm 11359 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 271 ref nil 139 ref 11359 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11358 ref nil cons 11360 def cons 11340 ref cons nil cons cons 11361 def 126 ref subst 11361 remove 194 ref subst 11358 ref betaConv 11358 remove assume eqMp nil 110 ref 11142 ref nil cons cons 11340 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 48 ref 71 ref 11141 ref 57 ref appTerm 11362 def appTerm 11338 ref appTerm 11363 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 11363 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11362 ref nil cons 11364 def cons 11340 ref cons nil cons cons 11365 def 126 ref subst 11365 remove 194 ref subst 11362 ref betaConv 11362 remove assume eqMp nil 110 ref 11140 remove nil cons 11366 def cons 11367 def 11340 remove cons nil cons cons 11368 def 175 ref subst proveHyp 11368 ref 126 ref subst 11368 remove 194 ref subst 11337 ref 126 ref subst 11337 remove 194 ref subst nil 11367 remove 11335 remove cons nil cons cons 175 ref subst 11168 remove 5105 ref appTerm 11369 def betaConv 11170 remove 3521 ref appTerm 11370 def betaConv 11172 remove 3518 ref appTerm 11371 def betaConv 11174 remove 9578 remove appTerm 11372 def betaConv 11176 remove 57 ref appTerm 11373 def betaConv 11178 remove 275 remove appTerm 11374 def betaConv 11180 remove 547 ref appTerm 11375 def betaConv 11182 remove 41 ref appTerm 11376 def betaConv 11184 remove 39 ref appTerm 11377 def betaConv 11186 remove 861 ref appTerm 11378 def betaConv nil 11322 remove 111 ref 11378 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 11187 remove 886 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11188 remove cons 111 ref 11377 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11189 remove 210 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11190 remove cons 111 ref 11376 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11191 remove 213 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11192 remove cons 111 ref 11375 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11193 remove 595 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11194 remove cons 111 ref 11374 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 11195 remove 291 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11196 remove cons 111 ref 11373 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 11197 remove 293 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11198 remove cons 111 ref 11372 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11199 remove 9712 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11200 remove cons 111 ref 11371 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11201 remove 3576 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11202 remove cons 111 ref 11370 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11203 remove 3840 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11204 remove cons 111 ref 11369 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11205 remove 5226 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11321 remove cons 11379 def 153 ref 11334 remove cons nil cons 11380 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 11366 remove cons 153 ref 11339 remove cons nil cons 11381 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 11364 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 11141 ref 797 ref appTerm appTerm 11338 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11142 remove appTerm 11338 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11141 remove nil cons cons 11381 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11360 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 11143 ref 797 ref appTerm appTerm 11338 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11144 remove appTerm 11338 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11143 remove nil cons cons 11381 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11356 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 11145 ref 1893 ref appTerm appTerm 11338 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11146 remove appTerm 11338 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11145 remove nil cons cons 11381 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11352 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 11147 ref 1893 ref appTerm appTerm 11338 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11148 remove appTerm 11338 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11147 remove nil cons cons 11381 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11348 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 11347 remove appTerm nil cons cons 111 ref 71 ref 11150 remove appTerm 11338 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11149 remove nil cons cons 11381 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11343 remove cons 11381 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 11151 ref 39 ref appTerm appTerm 11338 ref appTerm absTerm appTerm nil cons cons 111 ref 11153 remove 11338 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11151 remove nil cons cons 11381 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11332 remove cons 11380 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11379 remove 153 ref 11323 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 11323 remove cons 111 ref 11166 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11325 remove 9712 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11326 remove cons 111 ref 11163 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11327 remove 3576 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11328 remove cons 111 ref 11160 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11329 remove 3840 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11330 remove cons 111 ref 11157 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11331 remove 5226 remove cons nil cons cons 205 ref subst eqMp eqMp 11382 def subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 151 ref 11129 remove cons 153 ref 11130 remove cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 11383 def nil 110 ref 99 ref 11098 ref appTerm 11384 def nil cons 11385 def cons 11386 def 111 ref 68 ref 11079 ref appTerm nil cons 11387 def cons nil cons cons nil cons cons 11388 def 175 ref subst proveHyp 11388 ref 126 ref subst 11388 remove 194 ref subst nil 262 ref 11079 remove nil cons cons 11389 def nil cons nil cons cons 663 ref subst 9456 remove nil 139 ref 11078 remove nil cons 11390 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11076 remove nil cons cons 11391 def nil cons nil cons cons 663 ref subst 69 remove nil 139 ref 11075 remove nil cons 11392 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11073 remove nil cons cons 11393 def nil cons nil cons cons 663 ref subst 70 remove nil 139 ref 11072 remove nil cons 11394 def cons nil cons nil cons cons 146 ref subst nil 262 ref 11070 remove nil cons cons 11395 def nil cons nil cons cons 663 ref subst 552 remove nil 139 ref 11069 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11066 remove nil cons 11396 def cons 11397 def 111 ref 11068 ref nil cons 11398 def cons nil cons 11399 def cons nil cons cons 11400 def 126 ref subst 11400 remove 194 ref subst nil 11386 ref 11399 ref cons nil cons cons 11401 def 175 ref subst nil 11397 remove 111 ref 71 ref 11384 ref appTerm 11068 remove appTerm 11402 def nil cons 11403 def cons nil cons 11404 def cons nil cons cons 175 ref subst nil 208 ref 857 ref 71 ref 11065 ref 861 ref appTerm 11405 def appTerm 11402 ref appTerm 11406 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 857 ref nil 139 ref 11406 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11405 ref nil cons 11407 def cons 11404 ref cons nil cons cons 11408 def 126 ref subst 11408 remove 194 ref subst 11405 ref betaConv 11405 remove assume eqMp nil 110 ref 11064 ref nil cons cons 11404 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 29 ref 71 ref 11063 ref 39 ref appTerm 11409 def appTerm 11402 ref appTerm 11410 def absTerm 11411 def nil cons cons nil cons nil cons cons 643 ref subst 29 ref nil 139 ref 11410 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11409 ref nil cons 11412 def cons 11404 ref cons nil cons cons 11413 def 126 ref subst 11413 remove 194 ref subst 11409 ref betaConv 11409 remove assume eqMp nil 110 ref 11062 ref nil cons cons 11404 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 26 ref 71 ref 11061 ref 41 ref appTerm 11414 def appTerm 11402 ref appTerm 11415 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 26 ref nil 139 ref 11415 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11414 ref nil cons 11416 def cons 11404 ref cons nil cons cons 11417 def 126 ref subst 11417 remove 194 ref subst 11414 ref betaConv 11414 remove assume eqMp nil 110 ref 11060 ref nil cons cons 11404 ref cons nil cons cons 175 ref subst proveHyp nil 208 ref 542 ref 71 ref 11059 ref 547 ref appTerm 11418 def appTerm 11402 ref appTerm 11419 def absTerm nil cons cons nil cons nil cons cons 643 ref subst 542 ref nil 139 ref 11419 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11418 ref nil cons 11420 def cons 11404 ref cons nil cons cons 11421 def 126 ref subst 11421 remove 194 ref subst 11418 ref betaConv 11418 remove assume eqMp nil 110 ref 11058 ref nil cons cons 11404 ref cons nil cons cons 175 ref subst proveHyp nil 257 ref 66 ref 71 ref 11057 ref 74 ref appTerm 11422 def appTerm 11402 ref appTerm 11423 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 66 remove nil 139 ref 11423 remove nil cons cons nil cons nil cons cons 146 ref subst nil 110 ref 11422 ref nil cons 11424 def cons 11404 ref cons nil cons cons 11425 def 126 ref subst 11425 remove 194 ref subst 11422 ref betaConv 11422 remove assume eqMp nil 110 ref 11056 remove nil cons 11426 def cons 11427 def 11404 remove cons nil cons cons 11428 def 175 ref subst proveHyp 11428 ref 126 ref subst 11428 remove 194 ref subst 11401 ref 126 ref subst 11401 remove 194 ref subst nil 11427 remove 11399 remove cons nil cons cons 175 ref subst 11082 remove 556 remove appTerm 11429 def betaConv 11084 remove 81 remove appTerm 11430 def betaConv 11086 remove 76 remove appTerm 11431 def betaConv 11088 remove 9458 remove appTerm 11432 def betaConv 11090 remove 74 remove appTerm 11433 def betaConv 11092 remove 547 remove appTerm 11434 def betaConv 11094 remove 41 remove appTerm 11435 def betaConv 11096 remove 39 ref appTerm 11436 def betaConv 11098 remove 861 remove appTerm 11437 def betaConv nil 11386 remove 111 ref 11437 remove nil cons cons nil cons cons nil cons cons 175 ref subst 207 ref 11099 remove 886 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11100 remove cons 111 ref 11436 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11101 remove 210 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11102 remove cons 111 ref 11435 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11103 remove 213 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11104 remove cons 111 ref 11434 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 11105 remove 595 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11106 remove cons 111 ref 11433 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 11107 remove 260 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11108 remove cons 111 ref 11432 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11109 remove 9969 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11110 remove cons 111 ref 11431 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11111 remove 824 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11112 remove cons 111 ref 11430 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11113 remove 828 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11114 remove cons 111 ref 11429 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11115 remove 2526 ref cons nil cons cons 205 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11385 remove cons 11438 def 153 ref 11398 remove cons nil cons 11439 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 151 ref 11426 remove cons 153 ref 11403 remove cons nil cons 11440 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 151 ref 11424 remove cons 11440 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 71 ref 11057 ref 797 remove appTerm appTerm 11402 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11058 remove appTerm 11402 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 257 ref 11057 remove nil cons cons 11440 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11420 remove cons 11440 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 ref 71 ref 11059 ref 1893 ref appTerm appTerm 11402 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11060 remove appTerm 11402 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11059 remove nil cons cons 11440 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11416 remove cons 11440 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 1892 remove 71 ref 11061 ref 1893 remove appTerm appTerm 11402 ref appTerm absTerm appTerm nil cons cons 111 ref 71 ref 11062 remove appTerm 11402 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11061 remove nil cons cons 11440 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11412 remove cons 11440 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 11411 remove appTerm nil cons cons 111 ref 71 ref 11064 remove appTerm 11402 ref appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11063 remove nil cons cons 11440 ref cons nil cons cons 811 ref subst eqMp eqMp eqMp nil 151 ref 11407 remove cons 11440 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 99 ref 29 ref 71 ref 11065 ref 39 remove appTerm appTerm 11402 ref appTerm absTerm appTerm nil cons cons 111 ref 11067 remove 11402 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11065 remove nil cons cons 11440 remove cons nil cons cons 811 ref subst eqMp eqMp eqMp eqMp nil 151 ref 11396 remove cons 11439 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11438 remove 153 ref 11387 ref cons nil cons cons nil cons cons 167 ref subst deductAntisym eqMp eqMp nil 110 ref 11387 remove cons 111 ref 11080 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11389 remove 9969 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11390 remove cons 111 ref 11077 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11391 remove 824 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11392 remove cons 111 ref 11074 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 ref 11393 remove 828 remove cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 11394 remove cons 111 ref 11071 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 261 remove 11395 remove 2526 remove cons nil cons cons 205 ref subst eqMp eqMp subst eqMp nil 110 ref 11055 remove cons 111 ref 11020 ref nil cons 11441 def cons nil cons 11442 def cons nil cons cons 194 ref subst proveHyp 542 ref 71 ref 11048 remove appTerm 9976 remove appTerm absTerm 11443 def 2457 ref appTerm 11444 def betaConv 26 ref 99 ref 542 ref 71 ref 11045 remove appTerm 9979 remove appTerm absTerm appTerm absTerm 11445 def 2369 ref appTerm 11446 def betaConv 29 ref 99 ref 26 ref 99 ref 542 ref 71 ref 11042 remove appTerm 9982 remove appTerm absTerm appTerm absTerm appTerm absTerm 11447 def 2322 ref appTerm 11448 def betaConv 8594 remove 9401 ref appTerm 11449 def betaConv 8596 remove nil 110 ref 8597 remove nil cons cons 111 ref 11449 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 8595 remove 9454 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 11447 ref appTerm nil cons cons 111 ref 11448 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11447 remove nil cons cons 3241 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 11445 ref appTerm nil cons cons 111 ref 11446 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11445 remove nil cons cons 3240 ref cons nil cons cons 205 ref subst eqMp eqMp nil 110 ref 99 ref 11443 ref appTerm nil cons cons 111 ref 11444 remove nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 207 ref 208 ref 11443 remove nil cons cons 2744 ref cons nil cons cons 205 remove subst eqMp eqMp nil 110 ref 71 ref 11018 ref appTerm 11450 def 9987 remove appTerm nil cons cons 11442 ref cons nil cons cons 175 ref subst proveHyp 226 ref 226 ref 11053 remove appThm 9995 remove appThm 9999 remove trans appThm 11020 ref refl 11451 def appThm sym nil 257 ref 493 ref 10002 remove 11020 ref appTerm 11452 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 493 remove nil 139 ref 11452 remove nil cons cons nil cons nil cons cons 146 ref subst nil 10005 remove 11442 ref cons nil cons cons 11453 def 126 ref subst 11453 remove 194 ref subst 10007 remove nil 10009 remove 11442 ref cons nil cons cons 175 ref subst proveHyp 3408 remove nil 3410 remove 111 ref 10010 remove 11020 ref appTerm 11454 def nil cons 11455 def cons nil cons 11456 def cons nil cons cons 11457 def 175 ref subst proveHyp 11457 ref 126 ref subst 11457 remove 194 ref subst nil 257 ref 48 ref 3416 remove 11454 ref appTerm 11458 def absTerm nil cons cons nil cons nil cons cons 662 ref subst 48 ref nil 139 ref 11458 remove nil cons cons nil cons nil cons cons 146 ref subst nil 3419 remove 11456 ref cons nil cons cons 11459 def 126 ref subst 11459 remove 194 ref subst 3421 remove nil 3423 remove 11456 ref cons nil cons cons 11460 def 175 ref subst proveHyp 11460 ref 126 ref subst 11460 remove 194 ref subst 36 remove "_32262" 44 ref var 11461 def 71 ref 49 ref 9996 ref 11461 remove varTerm 11462 def appTerm appTerm 49 ref 3393 ref 11462 ref appTerm appTerm 49 ref 3395 ref 11462 ref appTerm appTerm 5028 ref 11462 remove appTerm appTerm appTerm appTerm appTerm 11020 ref appTerm absTerm 11463 def 496 remove appTerm 11464 def appTerm refl 11465 def 11463 ref 309 remove appTerm betaConv appThm 155 remove 11464 remove betaConv appThm 11466 def 10024 remove 11020 ref appTerm refl appThm trans 11463 remove refl 11467 def 3434 remove appThm eqMp sym 10026 remove 11451 ref appThm sym nil 10029 remove 11442 ref cons nil cons cons 11468 def 126 ref subst 11468 remove 194 ref subst 10032 remove 10033 remove 5060 remove 5061 remove 5064 remove 5065 remove 857 remove 725 ref 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 7200 remove 10034 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11469 def 9401 remove appTerm betaConv sym 29 ref 725 ref 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 11043 remove 10038 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11470 def 2322 remove appTerm betaConv sym 26 ref 725 ref 542 ref 47 ref 271 ref 47 ref 48 ref 11046 remove 10040 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11471 def 2369 remove appTerm betaConv sym 542 ref 47 ref 271 ref 47 ref 48 ref 11049 remove 10042 remove appTerm absTerm appTerm absTerm appTerm absTerm 11472 def 2457 remove appTerm betaConv sym 271 ref 47 remove 48 ref 11051 ref 10044 remove appTerm absTerm appTerm absTerm 11473 def 240 remove appTerm betaConv sym 48 ref 11051 ref 10049 remove appTerm absTerm 11474 def 57 remove appTerm betaConv sym nil 10051 remove 10053 remove 3127 ref 11038 ref cons nil cons cons cons nil cons cons 3479 ref subst nil 5085 remove 3469 remove 3127 ref 11051 remove 10047 remove appTerm 11475 def nil cons cons nil cons cons cons nil cons cons 3479 ref subst nil 5087 remove 5088 remove 3127 remove 49 ref 11475 remove appTerm 3461 remove appTerm nil cons cons nil cons cons cons nil cons cons 3479 remove subst trans trans 216 ref 216 ref 216 ref 11054 remove 10055 remove appThm 10056 remove trans appThm 3480 remove appThm appThm 3482 remove appThm appThm 5089 remove appThm trans sym 10065 remove eqMp eqMp 256 ref 257 ref 11474 remove nil cons cons 293 remove cons nil cons cons 724 ref subst proveHyp eqMp 256 ref 257 ref 11473 remove nil cons cons 704 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11472 remove nil cons cons 2744 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11471 remove nil cons cons 3240 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 ref 208 ref 11470 remove nil cons cons 3241 remove cons nil cons cons 724 ref subst proveHyp eqMp 207 remove 208 ref 11469 ref nil cons cons 9454 remove cons nil cons cons 724 remove subst proveHyp nil 110 ref 725 remove 11469 remove appTerm nil cons cons 11442 remove cons nil cons cons 175 ref subst proveHyp 10066 remove 11382 remove subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 10067 remove 153 ref 11441 ref cons nil cons 11476 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3916 remove 153 ref 11455 ref cons nil cons 11477 def cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp nil 3918 remove 11477 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 ref 3919 remove 11454 ref appTerm absTerm appTerm nil cons cons 111 ref 3920 remove 11454 remove appTerm nil cons cons nil cons cons nil cons cons 175 ref subst proveHyp 256 ref 3921 remove 11477 ref cons nil cons cons 811 ref subst eqMp nil 3923 remove 11456 remove cons nil cons cons 11478 def 126 remove subst 11478 remove 194 ref subst 11465 remove "_32260" 44 remove var 11479 def 71 ref 49 ref 9996 remove 11479 remove varTerm 11480 def appTerm appTerm 49 ref 3393 remove 11480 ref appTerm appTerm 49 remove 3395 remove 11480 ref appTerm appTerm 5028 remove 11480 remove appTerm appTerm appTerm appTerm appTerm 11020 ref appTerm absTerm 220 remove appTerm betaConv appThm 11466 remove 10073 remove 11020 ref appTerm refl appThm trans 11467 remove 3929 remove appThm eqMp sym 10074 remove 11451 ref appThm nil 139 ref 11441 remove cons nil cons nil cons cons 381 remove subst trans sym 145 remove eqMp eqMp eqMp nil 3933 ref 11477 ref cons nil cons cons 167 ref subst deductAntisym eqMp nil 3933 remove 3934 remove 1335 remove 11455 remove cons nil cons cons cons nil cons cons 1350 remove subst proveHyp proveHyp eqMp nil 3935 remove 11477 remove cons nil cons cons 167 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 10075 remove 11476 ref cons nil cons cons 167 ref subst deductAntisym eqMp eqMp absThm eqMp nil 110 ref 65 ref 258 remove 10076 remove 11020 ref appTerm absTerm appTerm nil cons cons 111 ref 10077 remove 11020 remove appTerm nil cons cons nil cons cons nil cons cons 175 remove subst proveHyp 256 remove 10078 remove 11476 remove cons nil cons cons 811 remove subst eqMp eqMp eqMp eqMp eqMp nil 151 remove 11038 remove cons 153 remove 11039 remove cons nil cons cons nil cons cons 167 remove subst deductAntisym eqMp nil 110 remove 11450 remove 11021 ref appTerm nil cons cons 111 remove 71 ref 11021 remove appTerm 11018 ref appTerm nil cons cons nil cons cons nil cons cons 194 remove subst proveHyp 226 ref 216 remove 10079 remove 11128 remove subst appThm 11451 remove appThm appThm 11018 remove refl appThm sym 10080 remove 9154 remove subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 ref 11037 remove appTerm thm nil 262 remove 1943 ref 99 ref 29 ref 99 ref 26 ref 99 ref 542 ref 65 ref 271 ref 65 remove 48 ref 99 ref 3515 ref 99 ref 3513 ref 99 remove 5102 ref 71 ref 7270 remove 5108 remove appTerm appTerm 1945 remove 3518 remove appTerm 3521 remove appTerm 5105 remove appTerm appTerm 11481 def absTerm 11482 def appTerm 11483 def absTerm 11484 def appTerm 11485 def absTerm 11486 def appTerm 11487 def absTerm 11488 def appTerm 11489 def absTerm 11490 def appTerm 11491 def absTerm 11492 def appTerm 11493 def absTerm 11494 def appTerm 11495 def absTerm 11496 def appTerm 11497 def absTerm 11498 def nil cons cons nil cons nil cons cons 663 remove subst 1943 remove nil 139 ref 11497 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11496 remove nil cons cons nil cons nil cons cons 643 ref subst 29 remove nil 139 ref 11495 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11494 remove nil cons cons nil cons nil cons cons 643 ref subst 26 remove nil 139 ref 11493 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11492 remove nil cons cons nil cons nil cons cons 643 ref subst 542 remove nil 139 ref 11491 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 ref 11490 remove nil cons cons nil cons nil cons cons 662 ref subst 271 remove nil 139 ref 11489 remove nil cons cons nil cons nil cons cons 146 ref subst nil 257 remove 11488 remove nil cons cons nil cons nil cons cons 662 remove subst 48 remove nil 139 ref 11487 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11486 remove nil cons cons nil cons nil cons cons 643 ref subst 3515 remove nil 139 ref 11485 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 ref 11484 remove nil cons cons nil cons nil cons cons 643 ref subst 3513 remove nil 139 ref 11483 remove nil cons cons nil cons nil cons cons 146 ref subst nil 208 remove 11482 remove nil cons cons nil cons nil cons cons 643 remove subst 5102 remove nil 139 ref 11481 remove nil cons cons nil cons nil cons cons 146 ref subst 226 remove 7281 remove 5169 remove appThm appThm 1953 remove 8095 remove appThm 8096 remove appThm 9323 remove appThm appThm sym 1957 remove 5248 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 68 remove 11498 remove appTerm thm 5249 remove nil 5250 remove thm 9914 remove nil 9915 remove thm 10707 remove nil 10708 remove thm 10917 remove nil 10918 remove thm 11383 remove nil 11384 remove thm nil 178 remove 22 ref 64 ref 1 ref 8 ref 4 ref cons opType constTerm 3036 ref 71 ref 3054 remove appTerm 3062 remove appTerm 11499 def absTerm 11500 def appTerm 11501 def absTerm 11502 def nil cons cons nil cons nil cons cons 1982 remove subst 22 remove nil 139 ref 11501 remove nil cons cons nil cons nil cons cons 146 ref subst nil "P" 8 remove var 11500 remove nil cons cons nil cons nil cons cons "A" 15 remove cons nil cons 384 ref cons 642 ref subst subst 3036 remove nil 139 ref 11499 remove nil cons cons nil cons nil cons cons 146 ref subst 3971 remove eqMp absThm eqMp eqMp absThm eqMp nil 108 remove 11502 remove appTerm thm 9850 remove nil 9851 remove thm 10643 remove nil 10644 remove thm 10577 remove nil 10578 remove thm 11319 remove nil 11320 remove thm nil 592 remove 539 ref 64 remove 1 remove 530 ref 4 remove cons opType constTerm 7908 ref 71 remove 7928 remove appTerm 7937 remove appTerm 11503 def absTerm 11504 def appTerm 11505 def absTerm 11506 def nil cons cons nil cons nil cons cons 2815 remove subst 539 remove nil 139 ref 11505 remove nil cons cons nil cons nil cons cons 146 ref subst nil "P" 530 remove var 11504 remove nil cons cons nil cons nil cons cons "A" 534 remove cons nil cons 384 remove cons 642 remove subst subst 7908 remove nil 139 remove 11503 remove nil cons cons nil cons nil cons cons 146 remove subst 8073 remove eqMp absThm eqMp eqMp absThm eqMp nil 588 remove 11506 remove appTerm thm