reference documentation

Article natural-bits-thm.art

path: "vendor/opentheory/data/theories/natural-bits-thm/natural-bits-thm.art"

794057 bytes
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226
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230
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231
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eqMp
232
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76
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193
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deductAntisym
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233
def
subst
eqMp
trans
234
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appThm
nil
13
ref
160
ref
191
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appTerm
235
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appTerm
55
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axiom
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trans
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sym
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eqMp
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169
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164
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238
def
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167
ref
163
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9
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10
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162
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168
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nil
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def
cons
opType
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constTerm
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162
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180
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constTerm
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appTerm
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appTerm
absTerm
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170
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appTerm
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betaConv
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248
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appTerm
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250
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proveHyp
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ref
183
ref
248
remove
nil
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cons
187
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132
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eqMp
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ref
refl
251
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nil
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ref
164
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appTerm
appTerm
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axiom
appThm
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def
trans
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appThm
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ref
163
ref
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169
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245
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170
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appTerm
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def
appTerm
appTerm
160
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171
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absTerm
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170
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appTerm
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betaConv
178
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refl
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163
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nil
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254
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188
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ref
13
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173
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254
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appTerm
appTerm
160
ref
174
ref
appTerm
260
def
appTerm
absTerm
261
def
170
ref
appTerm
262
def
betaConv
nil
178
ref
261
ref
appTerm
263
def
axiom
nil
30
ref
263
remove
nil
cons
cons
31
ref
262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
261
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
trans
appThm
161
ref
188
ref
appThm
appThm
nil
153
ref
260
ref
nil
cons
264
def
cons
nil
cons
nil
cons
cons
138
ref
nil
63
ref
9
ref
10
ref
108
ref
109
ref
nil
cons
265
def
cons
opType
constTerm
266
def
117
ref
appTerm
267
def
117
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
131
remove
eqMp
268
def
subst
269
def
subst
trans
absThm
appThm
nil
63
ref
55
ref
nil
cons
270
def
cons
271
def
nil
cons
nil
cons
cons
272
def
182
ref
137
ref
cons
273
def
63
ref
13
ref
111
ref
116
ref
65
ref
absTerm
appTerm
appTerm
65
ref
appTerm
absTerm
274
def
65
ref
appTerm
275
def
betaConv
nil
150
ref
274
ref
appTerm
276
def
axiom
nil
30
ref
276
remove
nil
cons
cons
31
ref
275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
274
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
277
def
subst
subst
278
def
trans
sym
68
ref
eqMp
279
def
nil
30
ref
178
ref
255
ref
appTerm
280
def
nil
cons
cons
31
ref
256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
255
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
281
def
subst
237
remove
trans
trans
282
def
sym
68
ref
eqMp
nil
169
ref
244
remove
164
ref
appTerm
283
def
appTerm
thm
nil
"b"
1
ref
var
284
def
198
ref
cons
nil
cons
nil
cons
cons
285
def
284
ref
242
ref
"Number.Natural.fromBool"
const
10
ref
1
ref
180
ref
cons
opType
constTerm
286
def
284
ref
varTerm
287
def
appTerm
288
def
appTerm
289
def
"Data.Bool.cond"
const
290
def
10
ref
1
ref
10
ref
162
ref
243
ref
nil
cons
291
def
cons
opType
292
def
nil
cons
293
def
cons
opType
constTerm
294
def
287
ref
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
absTerm
295
def
287
ref
appTerm
296
def
betaConv
nil
150
ref
295
ref
appTerm
297
def
axiom
nil
30
ref
297
remove
nil
cons
cons
31
ref
296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
295
remove
nil
cons
cons
153
ref
287
ref
nil
cons
298
def
cons
nil
cons
299
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
300
def
subst
nil
"t2"
162
ref
var
301
def
165
ref
cons
302
def
"t1"
162
ref
var
303
def
283
ref
nil
cons
304
def
cons
nil
cons
cons
nil
cons
cons
305
def
273
ref
"t2"
108
ref
var
306
def
266
ref
290
ref
10
ref
1
ref
10
ref
108
ref
10
ref
108
ref
139
ref
cons
opType
307
def
nil
cons
308
def
cons
opType
nil
cons
cons
opType
constTerm
309
def
191
ref
appTerm
"t1"
108
ref
var
310
def
varTerm
311
def
appTerm
306
ref
varTerm
312
def
appTerm
appTerm
312
ref
appTerm
absTerm
313
def
312
ref
appTerm
314
def
betaConv
310
ref
111
ref
313
ref
appTerm
315
def
absTerm
316
def
311
ref
appTerm
317
def
betaConv
nil
111
ref
316
ref
appTerm
318
def
axiom
nil
30
ref
318
remove
nil
cons
cons
31
ref
317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
139
ref
cons
319
def
nil
cons
320
def
112
ref
316
remove
nil
cons
cons
116
ref
311
ref
nil
cons
cons
nil
cons
321
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
315
remove
nil
cons
cons
31
ref
314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
313
remove
nil
cons
cons
116
ref
312
ref
nil
cons
cons
nil
cons
322
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
323
def
subst
324
def
subst
325
def
trans
326
def
nil
242
ref
286
ref
191
ref
appTerm
327
def
appTerm
328
def
164
ref
appTerm
329
def
thm
8
ref
4
ref
242
ref
"Number.Natural.Bits.fromList"
const
10
ref
3
ref
180
ref
cons
opType
330
def
constTerm
331
def
16
ref
appTerm
332
def
appTerm
333
def
"Number.Natural.Bits.append"
const
10
ref
3
ref
291
ref
cons
opType
constTerm
334
def
16
ref
appTerm
335
def
164
ref
appTerm
appTerm
absTerm
336
def
16
ref
appTerm
337
def
betaConv
nil
28
ref
336
ref
appTerm
338
def
axiom
nil
30
ref
338
remove
nil
cons
cons
31
ref
337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
336
remove
nil
cons
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
339
def
subst
167
ref
8
ref
163
ref
242
ref
335
remove
170
ref
appTerm
appTerm
"Data.List.foldr"
const
340
def
10
ref
10
ref
1
ref
291
ref
cons
opType
341
def
10
ref
162
ref
330
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
"Number.Natural.Bits.cons"
const
341
ref
constTerm
342
def
appTerm
170
ref
appTerm
343
def
16
ref
appTerm
appTerm
absTerm
344
def
170
ref
appTerm
345
def
betaConv
4
ref
178
ref
344
ref
appTerm
346
def
absTerm
347
def
16
ref
appTerm
348
def
betaConv
nil
28
ref
347
ref
appTerm
349
def
axiom
nil
30
ref
349
remove
nil
cons
cons
31
ref
348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
347
remove
nil
cons
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
346
remove
nil
cons
cons
31
ref
345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
344
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
350
def
subst
nil
"b"
162
ref
var
351
def
185
ref
cons
"f"
341
remove
var
342
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
352
def
135
ref
"B"
180
ref
cons
353
def
nil
cons
354
def
cons
137
ref
cons
355
def
"b"
"B"
varType
356
def
var
357
def
9
ref
10
ref
356
ref
10
ref
356
ref
2
ref
cons
opType
358
def
nil
cons
359
def
cons
opType
constTerm
360
def
340
remove
10
ref
10
ref
108
ref
10
ref
356
ref
356
ref
nil
cons
361
def
cons
opType
nil
cons
362
def
cons
opType
363
def
10
ref
356
ref
10
ref
140
ref
361
ref
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
"f"
363
ref
var
364
def
varTerm
365
def
appTerm
357
ref
varTerm
366
def
appTerm
367
def
143
ref
appTerm
appTerm
366
ref
appTerm
absTerm
368
def
366
ref
appTerm
369
def
betaConv
364
ref
27
ref
10
ref
358
ref
2
ref
cons
opType
constTerm
370
def
368
ref
appTerm
371
def
absTerm
372
def
365
ref
appTerm
373
def
betaConv
nil
27
ref
10
ref
10
ref
363
ref
2
ref
cons
opType
374
def
2
ref
cons
opType
constTerm
375
def
372
ref
appTerm
376
def
axiom
nil
30
ref
376
remove
nil
cons
cons
31
ref
373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
363
ref
nil
cons
cons
nil
cons
377
def
"P"
374
remove
var
378
def
372
remove
nil
cons
cons
"x"
363
ref
var
365
ref
nil
cons
cons
nil
cons
379
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
371
remove
nil
cons
cons
31
ref
369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
361
ref
cons
nil
cons
380
def
"P"
358
remove
var
381
def
368
remove
nil
cons
cons
"x"
356
ref
var
366
ref
nil
cons
cons
nil
cons
382
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
trans
383
def
subst
trans
384
def
nil
242
ref
331
ref
6
ref
appTerm
385
def
appTerm
164
ref
appTerm
386
def
thm
242
ref
refl
387
def
167
ref
163
ref
242
ref
"Number.Natural.Bits.tail"
const
243
ref
constTerm
388
def
170
ref
appTerm
389
def
appTerm
390
def
"Number.Natural.div"
const
292
ref
constTerm
391
def
170
ref
appTerm
392
def
246
ref
283
ref
appTerm
393
def
appTerm
394
def
appTerm
395
def
absTerm
396
def
170
ref
appTerm
397
def
betaConv
nil
178
ref
396
ref
appTerm
398
def
axiom
399
def
nil
30
ref
398
remove
nil
cons
cons
31
ref
397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
396
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
400
def
subst
appThm
167
ref
170
ref
refl
401
def
subst
402
def
appThm
sym
nil
163
ref
393
ref
nil
cons
403
def
cons
404
def
nil
cons
405
def
nil
cons
cons
406
def
163
ref
13
ref
"Number.Natural.<"
const
241
ref
constTerm
407
def
164
ref
appTerm
408
def
170
ref
appTerm
409
def
appTerm
410
def
160
ref
242
ref
170
ref
appTerm
411
def
164
ref
appTerm
412
def
appTerm
413
def
appTerm
absTerm
414
def
170
ref
appTerm
415
def
betaConv
nil
178
ref
414
ref
appTerm
416
def
axiom
nil
30
ref
416
remove
nil
cons
cons
31
ref
415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
414
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
417
def
subst
161
ref
387
ref
387
ref
246
ref
refl
253
ref
appThm
167
ref
163
ref
242
ref
246
remove
254
ref
appTerm
appTerm
245
ref
247
remove
appTerm
appTerm
absTerm
418
def
170
ref
appTerm
419
def
betaConv
nil
178
ref
418
ref
appTerm
420
def
axiom
nil
30
ref
420
remove
nil
cons
cons
31
ref
419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
418
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
251
ref
252
remove
appThm
trans
trans
421
def
appThm
422
def
251
ref
253
ref
appThm
appThm
nil
184
ref
245
ref
245
ref
164
ref
appTerm
423
def
appTerm
424
def
nil
cons
cons
nil
cons
nil
cons
cons
273
ref
268
ref
subst
425
def
subst
trans
sym
68
ref
eqMp
426
def
appThm
402
ref
appThm
nil
163
ref
304
ref
cons
427
def
nil
cons
nil
cons
cons
428
def
163
ref
160
ref
242
ref
254
ref
appTerm
164
ref
appTerm
429
def
appTerm
430
def
absTerm
431
def
170
ref
appTerm
432
def
betaConv
nil
178
ref
431
ref
appTerm
433
def
axiom
nil
30
ref
433
remove
nil
cons
cons
31
ref
432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
431
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
434
def
nil
30
ref
430
remove
nil
cons
cons
31
ref
13
ref
429
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
429
ref
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
435
def
subst
436
def
trans
437
def
appThm
236
ref
trans
438
def
trans
sym
68
ref
eqMp
nil
30
ref
408
ref
393
ref
appTerm
nil
cons
cons
31
ref
242
ref
391
ref
164
ref
appTerm
439
def
393
ref
appTerm
440
def
appTerm
164
ref
appTerm
441
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
404
ref
"m"
162
ref
var
442
def
165
ref
cons
443
def
nil
cons
444
def
cons
nil
cons
cons
163
ref
32
ref
407
ref
442
ref
varTerm
445
def
appTerm
446
def
170
ref
appTerm
447
def
appTerm
448
def
242
ref
391
ref
445
ref
appTerm
449
def
170
ref
appTerm
450
def
appTerm
164
ref
appTerm
451
def
appTerm
absTerm
452
def
170
ref
appTerm
453
def
betaConv
442
ref
178
ref
452
ref
appTerm
454
def
absTerm
455
def
445
ref
appTerm
456
def
betaConv
nil
178
ref
455
ref
appTerm
457
def
axiom
nil
30
ref
457
remove
nil
cons
cons
31
ref
456
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
455
remove
nil
cons
cons
184
ref
445
ref
nil
cons
458
def
cons
nil
cons
459
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
454
remove
nil
cons
cons
31
ref
453
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
452
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
460
def
subst
eqMp
eqMp
461
def
nil
242
ref
388
ref
164
ref
appTerm
462
def
appTerm
164
ref
appTerm
thm
167
ref
163
ref
242
ref
"Number.Natural.Bits.width"
const
243
ref
constTerm
463
def
170
ref
appTerm
464
def
appTerm
465
def
294
ref
412
ref
appTerm
164
ref
appTerm
466
def
"Number.Natural.+"
const
292
ref
constTerm
467
def
"Number.Natural.log"
const
292
ref
constTerm
468
def
393
ref
appTerm
469
def
170
ref
appTerm
470
def
appTerm
283
ref
appTerm
471
def
appTerm
472
def
appTerm
absTerm
473
def
170
ref
appTerm
474
def
betaConv
nil
178
ref
473
ref
appTerm
475
def
axiom
nil
30
ref
475
remove
nil
cons
cons
31
ref
474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
473
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
476
def
subst
nil
"z"
162
ref
var
477
def
467
ref
469
ref
164
ref
appTerm
appTerm
283
ref
appTerm
nil
cons
478
def
cons
"y"
162
ref
var
479
def
165
ref
cons
184
ref
165
ref
cons
nil
cons
480
def
cons
cons
nil
cons
cons
181
ref
354
ref
cons
137
ref
cons
290
ref
10
ref
1
ref
10
ref
356
ref
362
remove
cons
opType
nil
cons
cons
opType
constTerm
refl
268
ref
appThm
"y"
356
ref
var
481
def
varTerm
482
def
refl
appThm
"z"
356
ref
var
varTerm
483
def
refl
appThm
nil
"t2"
356
ref
var
483
remove
nil
cons
cons
"t1"
356
ref
var
482
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
380
ref
137
ref
cons
306
remove
266
ref
309
ref
55
ref
appTerm
311
ref
appTerm
312
ref
appTerm
appTerm
311
ref
appTerm
absTerm
484
def
312
remove
appTerm
485
def
betaConv
310
remove
111
ref
484
ref
appTerm
486
def
absTerm
487
def
311
remove
appTerm
488
def
betaConv
nil
111
ref
487
ref
appTerm
489
def
axiom
nil
30
ref
489
remove
nil
cons
cons
31
ref
488
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
487
remove
nil
cons
cons
321
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
486
remove
nil
cons
cons
31
ref
485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
484
remove
nil
cons
cons
322
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
490
def
subst
subst
trans
491
def
subst
subst
trans
492
def
nil
242
ref
463
ref
164
ref
appTerm
493
def
appTerm
494
def
164
ref
appTerm
495
def
thm
167
ref
80
ref
9
ref
10
ref
3
ref
14
ref
nil
cons
496
def
cons
opType
constTerm
497
def
refl
498
def
498
ref
163
ref
497
ref
"Number.Natural.Bits.toList"
const
10
ref
162
ref
102
ref
cons
opType
499
def
constTerm
500
def
170
ref
appTerm
501
def
appTerm
502
def
"Number.Natural.Bits.toVector"
const
10
ref
162
ref
499
remove
nil
cons
503
def
cons
opType
constTerm
504
def
170
ref
appTerm
505
def
464
ref
appTerm
appTerm
absTerm
506
def
170
ref
appTerm
507
def
betaConv
nil
178
ref
506
ref
appTerm
508
def
axiom
nil
30
ref
508
remove
nil
cons
cons
31
ref
507
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
506
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
509
def
appThm
290
ref
10
ref
1
ref
10
ref
3
ref
10
ref
3
ref
102
ref
cons
opType
nil
cons
510
def
cons
opType
511
def
nil
cons
512
def
cons
opType
constTerm
513
def
412
ref
appTerm
6
ref
appTerm
514
def
refl
"Data.List.::"
const
515
def
10
ref
1
ref
510
ref
cons
opType
constTerm
516
def
171
ref
appTerm
517
def
refl
518
def
nil
163
ref
389
ref
nil
cons
519
def
cons
520
def
nil
cons
nil
cons
cons
521
def
509
ref
subst
appThm
appThm
appThm
sym
498
ref
nil
"k"
162
ref
var
522
def
464
ref
nil
cons
523
def
cons
nil
cons
nil
cons
cons
524
def
522
ref
497
ref
505
ref
522
ref
varTerm
525
def
appTerm
526
def
appTerm
527
def
513
ref
242
ref
525
ref
appTerm
528
def
164
ref
appTerm
529
def
appTerm
6
ref
appTerm
517
ref
504
ref
389
ref
appTerm
530
def
"Number.Natural.-"
const
292
ref
constTerm
531
def
525
ref
appTerm
532
def
283
ref
appTerm
appTerm
appTerm
appTerm
appTerm
533
def
absTerm
534
def
525
ref
appTerm
535
def
betaConv
536
def
498
ref
163
ref
497
ref
505
ref
164
ref
appTerm
537
def
appTerm
538
def
6
ref
appTerm
absTerm
539
def
170
ref
appTerm
540
def
betaConv
nil
178
ref
539
ref
appTerm
541
def
axiom
nil
30
ref
541
remove
nil
cons
cons
31
ref
540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
539
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
542
def
appThm
543
def
nil
"z"
3
ref
var
517
ref
530
ref
531
ref
164
ref
appTerm
283
ref
appTerm
544
def
appTerm
appTerm
545
def
nil
cons
cons
"y"
3
ref
var
546
def
7
ref
cons
480
ref
cons
cons
nil
cons
cons
181
ref
"B"
102
ref
cons
nil
cons
cons
137
ref
cons
491
remove
subst
subst
appThm
nil
105
ref
7
ref
cons
nil
cons
nil
cons
cons
103
ref
137
ref
cons
547
def
268
remove
subst
548
def
subst
549
def
trans
sym
68
ref
eqMp
nil
30
ref
538
ref
513
ref
242
ref
164
ref
appTerm
550
def
164
ref
appTerm
551
def
appTerm
6
ref
appTerm
545
remove
appTerm
appTerm
552
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
533
ref
appTerm
497
ref
505
remove
245
ref
525
ref
appTerm
553
def
appTerm
554
def
appTerm
555
def
513
ref
242
ref
553
ref
appTerm
164
ref
appTerm
556
def
appTerm
6
ref
appTerm
517
ref
530
ref
531
ref
553
ref
appTerm
283
ref
appTerm
appTerm
appTerm
appTerm
appTerm
557
def
appTerm
558
def
absTerm
559
def
appTerm
560
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
559
remove
nil
cons
cons
nil
cons
nil
cons
cons
273
ref
13
ref
114
remove
appTerm
refl
126
remove
appThm
130
remove
eqMp
sym
561
def
subst
562
def
subst
522
ref
nil
63
ref
558
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
533
remove
nil
cons
563
def
cons
31
ref
557
remove
nil
cons
564
def
cons
nil
cons
cons
nil
cons
cons
565
def
49
ref
subst
565
remove
121
ref
subst
498
ref
522
ref
555
ref
517
ref
530
ref
525
ref
appTerm
566
def
appTerm
567
def
appTerm
absTerm
568
def
525
ref
appTerm
569
def
betaConv
163
ref
178
ref
568
ref
appTerm
570
def
absTerm
571
def
170
ref
appTerm
572
def
betaConv
nil
178
ref
571
ref
appTerm
573
def
axiom
nil
30
ref
573
remove
nil
cons
cons
31
ref
572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
571
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
570
remove
nil
cons
cons
31
ref
569
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
568
remove
nil
cons
cons
184
ref
525
ref
nil
cons
574
def
cons
nil
cons
575
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
576
def
appThm
513
ref
refl
577
def
nil
163
ref
574
ref
cons
578
def
nil
cons
579
def
nil
cons
cons
580
def
435
ref
subst
581
def
appThm
6
ref
refl
582
def
appThm
518
ref
530
ref
refl
583
def
580
ref
163
ref
242
ref
531
ref
254
ref
appTerm
283
ref
appTerm
appTerm
170
ref
appTerm
absTerm
584
def
170
ref
appTerm
585
def
betaConv
nil
178
ref
584
ref
appTerm
586
def
axiom
nil
30
ref
586
remove
nil
cons
cons
31
ref
585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
584
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
587
def
subst
appThm
appThm
appThm
nil
"t2"
3
ref
var
588
def
567
ref
nil
cons
589
def
cons
"t1"
3
ref
var
590
def
7
ref
cons
nil
cons
591
def
cons
nil
cons
cons
547
ref
323
ref
subst
592
def
subst
trans
appThm
nil
105
ref
589
remove
cons
nil
cons
nil
cons
cons
548
ref
subst
593
def
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
563
remove
cons
78
ref
564
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
552
remove
appTerm
560
remove
appTerm
nil
cons
cons
31
ref
178
ref
534
ref
appTerm
594
def
nil
cons
595
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
38
ref
refl
596
def
534
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
536
ref
appThm
534
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
536
remove
absThm
appThm
appThm
nil
"p"
168
ref
var
597
def
534
remove
nil
cons
598
def
cons
nil
cons
nil
cons
cons
597
ref
32
ref
38
ref
597
ref
varTerm
599
def
164
ref
appTerm
600
def
appTerm
601
def
178
ref
163
ref
32
ref
599
ref
170
ref
appTerm
602
def
appTerm
599
ref
254
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
178
ref
163
ref
602
ref
absTerm
appTerm
603
def
appTerm
absTerm
604
def
599
ref
appTerm
605
def
betaConv
nil
27
ref
10
ref
177
ref
2
ref
cons
opType
constTerm
606
def
604
ref
appTerm
607
def
axiom
nil
30
ref
607
remove
nil
cons
cons
31
ref
605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
240
ref
cons
nil
cons
608
def
"P"
177
ref
var
609
def
604
remove
nil
cons
cons
"x"
168
ref
var
610
def
599
ref
nil
cons
cons
nil
cons
611
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
612
def
subst
eqMp
eqMp
613
def
nil
30
ref
595
ref
cons
31
ref
535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
598
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
514
ref
517
ref
530
ref
463
ref
389
ref
appTerm
614
def
appTerm
appTerm
615
def
appTerm
616
def
refl
617
def
appThm
sym
498
ref
577
ref
163
ref
13
ref
465
ref
164
ref
appTerm
appTerm
412
ref
appTerm
618
def
absTerm
619
def
170
ref
appTerm
620
def
betaConv
621
def
387
ref
492
ref
appThm
402
ref
appThm
nil
30
ref
13
ref
495
remove
appTerm
551
ref
appTerm
622
def
nil
cons
cons
31
ref
178
ref
163
ref
32
ref
618
ref
appTerm
13
ref
242
ref
463
ref
254
ref
appTerm
appTerm
164
ref
appTerm
appTerm
429
ref
appTerm
623
def
appTerm
624
def
absTerm
625
def
appTerm
626
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
625
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
624
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
618
remove
nil
cons
627
def
cons
31
ref
623
remove
nil
cons
628
def
cons
nil
cons
cons
nil
cons
cons
629
def
49
ref
subst
629
remove
121
ref
subst
80
ref
387
ref
259
remove
476
ref
subst
294
ref
refl
630
def
435
ref
appThm
402
ref
appThm
nil
442
ref
469
ref
254
ref
appTerm
631
def
nil
cons
632
def
cons
nil
cons
nil
cons
cons
442
ref
242
ref
467
ref
445
ref
appTerm
633
def
283
ref
appTerm
634
def
appTerm
245
ref
445
ref
appTerm
635
def
appTerm
636
def
absTerm
637
def
445
ref
appTerm
638
def
betaConv
257
ref
442
ref
636
remove
assume
sym
242
ref
635
ref
appTerm
639
def
634
remove
appTerm
640
def
assume
sym
deductAntisym
absThm
appThm
nil
178
ref
442
ref
640
remove
absTerm
641
def
appTerm
642
def
axiom
643
def
eqMp
nil
30
ref
178
ref
637
ref
appTerm
nil
cons
cons
31
ref
638
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
637
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
644
def
subst
appThm
nil
301
ref
245
ref
631
remove
appTerm
nil
cons
cons
303
ref
165
ref
cons
nil
cons
645
def
cons
nil
cons
cons
324
ref
subst
trans
trans
appThm
402
ref
appThm
nil
163
ref
632
remove
cons
nil
cons
nil
cons
cons
435
ref
subst
trans
appThm
435
ref
appThm
nil
63
ref
198
ref
cons
646
def
nil
cons
nil
cons
cons
647
def
63
ref
13
ref
230
ref
65
ref
appTerm
appTerm
160
ref
65
ref
appTerm
648
def
appTerm
absTerm
649
def
65
ref
appTerm
650
def
betaConv
nil
150
ref
649
ref
appTerm
651
def
axiom
nil
30
ref
651
remove
nil
cons
cons
31
ref
650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
649
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
652
def
subst
236
ref
trans
653
def
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
627
remove
cons
78
ref
628
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
622
remove
appTerm
626
remove
appTerm
nil
cons
cons
31
ref
178
ref
619
ref
appTerm
654
def
nil
cons
655
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
619
ref
164
ref
appTerm
betaConv
appThm
257
ref
163
ref
200
ref
621
ref
appThm
619
ref
254
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
621
remove
absThm
appThm
appThm
nil
597
ref
619
remove
nil
cons
656
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
657
def
nil
30
ref
655
remove
cons
31
ref
620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
656
remove
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
582
ref
appThm
517
ref
530
remove
531
ref
464
ref
appTerm
283
ref
appTerm
appTerm
appTerm
658
def
refl
659
def
appThm
appThm
617
remove
appThm
sym
nil
30
ref
413
ref
nil
cons
660
def
cons
661
def
31
ref
497
ref
514
ref
658
ref
appTerm
appTerm
616
remove
appTerm
nil
cons
662
def
cons
nil
cons
663
def
cons
nil
cons
cons
664
def
49
ref
subst
664
remove
121
ref
subst
498
ref
577
ref
nil
661
ref
31
ref
13
ref
412
ref
appTerm
665
def
191
ref
appTerm
666
def
nil
cons
667
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
412
ref
nil
cons
668
def
cons
669
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
670
def
appThm
582
ref
appThm
671
def
659
remove
appThm
nil
588
ref
658
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
592
ref
subst
trans
appThm
671
remove
615
ref
refl
appThm
nil
588
ref
615
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
592
ref
subst
trans
appThm
sym
518
ref
583
remove
387
ref
531
ref
refl
672
def
387
ref
476
ref
appThm
466
ref
refl
467
ref
refl
673
def
521
ref
476
ref
subst
630
ref
387
ref
400
ref
appThm
402
ref
appThm
appThm
402
ref
appThm
673
ref
469
ref
refl
674
def
400
ref
appThm
appThm
428
ref
401
ref
subst
675
def
appThm
appThm
trans
appThm
675
ref
appThm
appThm
appThm
sym
nil
661
ref
31
ref
242
ref
472
ref
appTerm
466
ref
467
ref
294
ref
242
ref
394
ref
appTerm
676
def
164
ref
appTerm
677
def
appTerm
164
ref
appTerm
467
ref
469
ref
394
ref
appTerm
appTerm
283
ref
appTerm
678
def
appTerm
679
def
appTerm
283
ref
appTerm
680
def
appTerm
appTerm
nil
cons
681
def
cons
nil
cons
682
def
cons
nil
cons
cons
683
def
49
ref
subst
683
remove
121
ref
subst
387
ref
630
ref
670
ref
appThm
402
ref
appThm
684
def
471
ref
refl
appThm
nil
301
ref
471
ref
nil
cons
685
def
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
686
def
appThm
684
ref
680
ref
refl
appThm
nil
301
ref
680
remove
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
appThm
nil
163
ref
679
ref
nil
cons
cons
"p"
162
ref
var
687
def
304
ref
cons
688
def
442
ref
470
ref
nil
cons
689
def
cons
nil
cons
690
def
cons
cons
nil
cons
cons
163
ref
13
ref
242
ref
633
ref
687
ref
varTerm
691
def
appTerm
692
def
appTerm
467
ref
170
ref
appTerm
693
def
691
ref
appTerm
694
def
appTerm
appTerm
242
ref
445
ref
appTerm
695
def
170
ref
appTerm
696
def
appTerm
absTerm
697
def
170
ref
appTerm
698
def
betaConv
442
ref
178
ref
697
ref
appTerm
699
def
absTerm
700
def
445
ref
appTerm
701
def
betaConv
687
ref
178
ref
700
ref
appTerm
702
def
absTerm
703
def
691
ref
appTerm
704
def
betaConv
nil
178
ref
703
ref
appTerm
705
def
axiom
706
def
nil
30
ref
705
remove
nil
cons
cons
707
def
31
ref
704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
703
ref
nil
cons
cons
708
def
184
ref
691
ref
nil
cons
709
def
cons
nil
cons
710
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
702
remove
nil
cons
cons
31
ref
701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
700
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
699
remove
nil
cons
cons
31
ref
698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
697
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
711
def
subst
trans
sym
163
ref
32
ref
38
ref
407
ref
283
ref
appTerm
712
def
393
ref
appTerm
713
def
appTerm
714
def
413
ref
appTerm
715
def
appTerm
242
ref
470
ref
appTerm
716
def
294
ref
407
ref
170
ref
appTerm
717
def
393
ref
appTerm
718
def
appTerm
164
ref
appTerm
678
ref
appTerm
719
def
appTerm
720
def
appTerm
721
def
absTerm
722
def
170
ref
appTerm
723
def
betaConv
522
ref
178
ref
163
ref
32
ref
38
ref
712
ref
525
ref
appTerm
724
def
appTerm
725
def
413
ref
appTerm
appTerm
726
def
242
ref
468
remove
525
ref
appTerm
727
def
170
ref
appTerm
728
def
appTerm
294
ref
717
ref
525
ref
appTerm
appTerm
164
ref
appTerm
467
ref
727
ref
392
ref
525
ref
appTerm
729
def
appTerm
appTerm
283
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
730
def
393
ref
appTerm
731
def
betaConv
nil
178
ref
730
ref
appTerm
732
def
axiom
nil
30
ref
732
remove
nil
cons
cons
31
ref
731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
730
remove
nil
cons
cons
184
ref
403
ref
cons
nil
cons
733
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
722
ref
appTerm
nil
cons
cons
31
ref
723
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
722
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
721
ref
nil
cons
cons
31
ref
716
remove
679
ref
appTerm
734
def
nil
cons
735
def
cons
nil
cons
736
def
cons
nil
cons
cons
101
ref
subst
proveHyp
596
ref
712
remove
refl
426
ref
appThm
428
ref
nil
63
ref
717
ref
254
ref
appTerm
737
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
737
remove
absTerm
738
def
170
ref
appTerm
739
def
betaConv
nil
178
ref
738
ref
appTerm
740
def
axiom
nil
30
ref
740
remove
nil
cons
cons
31
ref
739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
738
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
741
def
subst
trans
742
def
appThm
743
def
161
ref
670
ref
appThm
236
ref
trans
744
def
appThm
272
ref
63
ref
13
ref
38
ref
55
ref
appTerm
745
def
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
746
def
65
ref
appTerm
747
def
betaConv
nil
150
ref
746
ref
appTerm
748
def
axiom
nil
30
ref
748
remove
nil
cons
cons
31
ref
747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
746
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
749
def
subst
750
def
trans
sym
68
ref
eqMp
751
def
nil
30
ref
715
ref
nil
cons
cons
752
def
31
ref
32
ref
720
ref
appTerm
734
ref
appTerm
753
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
720
ref
nil
cons
754
def
cons
736
remove
cons
nil
cons
cons
755
def
49
ref
subst
755
remove
121
ref
subst
13
ref
"_28993"
162
ref
var
756
def
242
ref
756
remove
varTerm
appTerm
679
ref
appTerm
absTerm
757
def
470
ref
appTerm
758
def
appTerm
refl
757
ref
719
ref
appTerm
betaConv
appThm
80
ref
758
remove
betaConv
appThm
242
ref
719
remove
appTerm
679
remove
appTerm
refl
appThm
trans
757
remove
refl
720
remove
assume
appThm
eqMp
sym
630
ref
438
ref
sym
68
ref
eqMp
759
def
nil
30
ref
160
ref
242
ref
393
ref
appTerm
760
def
164
ref
appTerm
appTerm
761
def
nil
cons
cons
762
def
31
ref
13
ref
677
ref
appTerm
718
ref
appTerm
nil
cons
763
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
404
ref
442
ref
185
ref
cons
764
def
nil
cons
765
def
cons
nil
cons
cons
766
def
163
ref
32
ref
413
ref
appTerm
767
def
13
ref
451
remove
appTerm
447
ref
appTerm
appTerm
absTerm
768
def
170
ref
appTerm
769
def
betaConv
442
ref
178
ref
768
ref
appTerm
770
def
absTerm
771
def
445
ref
appTerm
772
def
betaConv
nil
178
ref
771
ref
appTerm
773
def
axiom
nil
30
ref
773
remove
nil
cons
cons
31
ref
772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
771
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
770
remove
nil
cons
cons
31
ref
769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
768
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
nil
30
ref
763
remove
cons
31
ref
13
ref
718
ref
appTerm
677
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
153
ref
677
remove
nil
cons
cons
"y"
1
ref
var
774
def
718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
116
ref
32
ref
267
ref
"y"
108
ref
var
775
def
varTerm
776
def
appTerm
777
def
appTerm
266
ref
776
ref
appTerm
778
def
117
ref
appTerm
779
def
appTerm
780
def
absTerm
781
def
117
ref
appTerm
782
def
betaConv
775
ref
111
ref
781
ref
appTerm
783
def
absTerm
784
def
776
ref
appTerm
785
def
betaConv
nil
111
ref
116
ref
111
ref
775
ref
780
ref
absTerm
786
def
appTerm
787
def
absTerm
788
def
appTerm
789
def
axiom
nil
30
ref
789
remove
nil
cons
790
def
cons
791
def
31
ref
111
ref
784
ref
appTerm
nil
cons
792
def
cons
nil
cons
cons
nil
cons
cons
793
def
101
ref
subst
proveHyp
793
ref
49
ref
subst
793
remove
121
ref
subst
nil
112
ref
784
remove
nil
cons
cons
794
def
nil
cons
nil
cons
cons
561
ref
subst
775
ref
nil
63
ref
783
remove
nil
cons
795
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
112
ref
781
remove
nil
cons
cons
796
def
nil
cons
nil
cons
cons
561
ref
subst
116
ref
nil
63
ref
780
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
786
ref
776
ref
appTerm
797
def
betaConv
788
ref
117
ref
appTerm
798
def
betaConv
nil
791
remove
31
ref
798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
320
ref
112
ref
788
remove
nil
cons
cons
116
ref
117
ref
nil
cons
cons
nil
cons
799
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
787
remove
nil
cons
cons
31
ref
797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
786
remove
nil
cons
cons
116
ref
776
ref
nil
cons
cons
nil
cons
800
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
790
remove
cons
78
ref
792
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
792
remove
cons
31
ref
785
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
794
remove
800
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
795
remove
cons
31
ref
782
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
796
remove
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
801
def
subst
802
def
subst
eqMp
appThm
402
ref
appThm
678
remove
refl
appThm
eqMp
eqMp
nil
76
ref
754
ref
cons
78
ref
735
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
38
ref
715
remove
appTerm
753
remove
appTerm
nil
cons
cons
31
ref
32
ref
721
remove
appTerm
734
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"r"
1
ref
var
803
def
735
remove
cons
31
ref
754
remove
cons
752
ref
nil
cons
cons
cons
nil
cons
cons
nil
30
ref
39
remove
212
ref
803
ref
varTerm
804
def
appTerm
805
def
appTerm
nil
cons
806
def
cons
31
ref
32
ref
36
ref
appTerm
807
def
804
ref
appTerm
nil
cons
808
def
cons
nil
cons
cons
nil
cons
cons
809
def
49
ref
subst
809
remove
121
ref
subst
nil
211
ref
31
ref
804
ref
nil
cons
810
def
cons
nil
cons
811
def
cons
nil
cons
cons
812
def
49
ref
subst
812
remove
121
ref
subst
nil
77
remove
78
ref
805
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
813
def
92
ref
subst
101
ref
proveHyp
94
remove
eqMp
nil
204
ref
811
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
813
remove
221
ref
subst
eqMp
eqMp
nil
218
ref
78
ref
810
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
806
remove
cons
78
ref
808
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
814
def
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
660
ref
cons
815
def
78
ref
681
ref
cons
nil
cons
816
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
668
ref
cons
817
def
682
remove
cons
nil
cons
cons
818
def
49
ref
subst
818
remove
121
ref
subst
387
ref
630
ref
387
ref
412
ref
assume
819
def
appThm
402
ref
appThm
nil
480
ref
nil
cons
cons
425
ref
subst
820
def
trans
821
def
appThm
402
ref
appThm
822
def
673
ref
674
ref
819
ref
appThm
appThm
675
ref
appThm
appThm
nil
301
ref
478
remove
cons
645
ref
cons
nil
cons
cons
273
ref
490
ref
subst
823
def
subst
824
def
trans
825
def
appThm
822
remove
673
ref
630
ref
387
ref
391
ref
refl
826
def
819
ref
appThm
406
ref
401
ref
subst
827
def
appThm
828
def
appThm
402
ref
appThm
appThm
402
ref
appThm
673
ref
674
ref
828
remove
appThm
appThm
675
ref
appThm
appThm
appThm
675
ref
appThm
appThm
nil
301
ref
467
ref
294
ref
441
remove
appTerm
164
ref
appTerm
467
ref
469
ref
440
remove
appTerm
appTerm
283
ref
appTerm
appTerm
appTerm
283
ref
appTerm
nil
cons
cons
645
ref
cons
nil
cons
cons
823
ref
subst
trans
appThm
820
ref
trans
sym
68
ref
eqMp
eqMp
nil
669
ref
816
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
63
ref
19
ref
65
ref
appTerm
829
def
648
ref
appTerm
absTerm
830
def
412
ref
appTerm
831
def
betaConv
nil
150
ref
830
ref
appTerm
832
def
axiom
833
def
nil
30
ref
832
remove
nil
cons
cons
834
def
31
ref
831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
830
ref
nil
cons
cons
835
def
153
ref
668
ref
cons
nil
cons
836
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
837
def
nil
669
ref
78
ref
660
ref
cons
838
def
"R"
1
ref
var
839
def
681
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
30
ref
32
ref
83
ref
appTerm
840
def
839
ref
varTerm
841
def
appTerm
842
def
nil
cons
cons
31
ref
841
ref
nil
cons
843
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
30
ref
225
ref
841
ref
appTerm
nil
cons
cons
31
ref
32
ref
842
remove
appTerm
841
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
803
ref
32
ref
225
ref
804
ref
appTerm
appTerm
844
def
32
ref
840
ref
804
ref
appTerm
appTerm
804
ref
appTerm
appTerm
absTerm
845
def
841
remove
appTerm
846
def
betaConv
13
ref
19
ref
81
ref
appTerm
847
def
83
ref
appTerm
848
def
appTerm
refl
31
ref
150
ref
803
ref
844
remove
32
ref
805
remove
appTerm
804
ref
appTerm
849
def
appTerm
absTerm
appTerm
absTerm
83
ref
appTerm
betaConv
appThm
59
remove
847
remove
appTerm
refl
30
ref
31
ref
150
ref
803
ref
32
ref
34
ref
804
remove
appTerm
appTerm
849
remove
appTerm
absTerm
appTerm
absTerm
absTerm
850
def
81
remove
appTerm
betaConv
appThm
nil
46
remove
19
ref
appTerm
850
remove
appTerm
axiom
90
remove
appThm
eqMp
86
remove
appThm
eqMp
851
def
848
remove
assume
eqMp
nil
30
ref
150
ref
845
ref
appTerm
nil
cons
cons
31
ref
846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
845
remove
nil
cons
cons
153
ref
843
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
852
def
subst
proveHyp
proveHyp
proveHyp
eqMp
853
def
appThm
675
ref
appThm
appThm
614
ref
refl
appThm
sym
672
ref
684
remove
nil
442
ref
614
ref
nil
cons
854
def
cons
nil
cons
nil
cons
cons
644
ref
subst
appThm
nil
301
ref
245
ref
614
ref
appTerm
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
855
def
appThm
675
ref
appThm
nil
163
ref
854
ref
cons
nil
cons
nil
cons
cons
587
ref
subst
trans
eqMp
appThm
appThm
eqMp
eqMp
nil
815
ref
78
ref
662
ref
cons
nil
cons
856
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
817
ref
663
remove
cons
nil
cons
cons
857
def
49
ref
subst
857
remove
121
ref
subst
498
ref
577
ref
821
ref
appThm
582
ref
appThm
858
def
516
ref
refl
859
def
239
ref
819
ref
appThm
appThm
860
def
504
ref
refl
861
def
388
ref
refl
862
def
819
ref
appThm
863
def
appThm
864
def
672
ref
463
ref
refl
865
def
819
ref
appThm
866
def
appThm
675
ref
appThm
appThm
appThm
appThm
nil
588
ref
516
ref
238
remove
appTerm
867
def
504
ref
462
ref
appTerm
868
def
531
ref
493
ref
appTerm
283
ref
appTerm
appTerm
appTerm
nil
cons
cons
591
ref
cons
nil
cons
cons
547
ref
490
ref
subst
869
def
subst
trans
appThm
858
remove
860
remove
864
remove
865
ref
863
remove
appThm
appThm
appThm
appThm
nil
588
ref
867
remove
868
remove
463
ref
462
ref
appTerm
appTerm
appTerm
nil
cons
cons
591
ref
cons
nil
cons
cons
869
ref
subst
trans
appThm
549
ref
trans
sym
68
ref
eqMp
eqMp
nil
669
ref
856
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
837
ref
nil
669
ref
838
ref
839
ref
662
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
870
def
appThm
582
ref
appThm
appThm
412
ref
refl
871
def
appThm
sym
nil
30
ref
667
ref
cons
31
ref
13
ref
497
ref
514
remove
517
ref
500
ref
389
ref
appTerm
872
def
appTerm
873
def
appTerm
874
def
appTerm
6
ref
appTerm
appTerm
412
ref
appTerm
nil
cons
875
def
cons
nil
cons
876
def
cons
nil
cons
cons
877
def
49
ref
subst
877
remove
121
ref
subst
13
ref
"_29049"
1
ref
var
878
def
13
ref
497
ref
513
ref
878
remove
varTerm
879
def
appTerm
6
ref
appTerm
873
ref
appTerm
appTerm
6
ref
appTerm
appTerm
879
remove
appTerm
absTerm
880
def
412
ref
appTerm
881
def
appTerm
refl
882
def
880
ref
191
ref
appTerm
betaConv
appThm
80
ref
881
remove
betaConv
appThm
883
def
13
ref
497
ref
513
ref
191
ref
appTerm
6
ref
appTerm
873
ref
appTerm
appTerm
6
ref
appTerm
appTerm
191
ref
appTerm
refl
appThm
trans
880
remove
refl
884
def
666
remove
assume
appThm
eqMp
sym
498
ref
nil
588
ref
873
ref
nil
cons
cons
591
ref
cons
nil
cons
cons
885
def
592
ref
subst
appThm
582
ref
appThm
nil
"t"
3
ref
var
886
def
872
remove
nil
cons
cons
"h"
1
ref
var
887
def
171
ref
nil
cons
888
def
cons
nil
cons
889
def
cons
nil
cons
cons
138
ref
"t"
140
ref
var
890
def
160
ref
9
ref
10
ref
140
ref
141
ref
nil
cons
891
def
cons
opType
constTerm
892
def
515
ref
10
ref
108
ref
10
ref
140
ref
140
ref
nil
cons
893
def
cons
opType
nil
cons
894
def
cons
opType
constTerm
895
def
"h"
108
ref
var
896
def
varTerm
897
def
appTerm
898
def
890
ref
varTerm
899
def
appTerm
900
def
appTerm
143
ref
appTerm
901
def
appTerm
902
def
absTerm
903
def
899
ref
appTerm
904
def
betaConv
896
ref
27
ref
10
ref
141
ref
2
ref
cons
opType
905
def
constTerm
906
def
903
ref
appTerm
907
def
absTerm
908
def
897
ref
appTerm
909
def
betaConv
nil
111
ref
908
ref
appTerm
910
def
axiom
nil
30
ref
910
remove
nil
cons
cons
31
ref
909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
908
remove
nil
cons
cons
116
ref
897
ref
nil
cons
cons
nil
cons
911
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
907
remove
nil
cons
cons
31
ref
904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
893
ref
cons
nil
cons
912
def
"P"
141
ref
var
913
def
903
remove
nil
cons
cons
"x"
140
ref
var
914
def
899
ref
nil
cons
cons
nil
cons
915
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
902
remove
nil
cons
cons
31
ref
13
ref
901
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
901
remove
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
subst
subst
trans
eqMp
eqMp
nil
76
ref
667
ref
cons
78
ref
875
ref
cons
nil
cons
916
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
665
remove
55
ref
appTerm
917
def
nil
cons
918
def
cons
876
remove
cons
nil
cons
cons
919
def
49
ref
subst
919
remove
121
ref
subst
882
remove
"_29047"
1
ref
var
920
def
13
ref
497
ref
513
ref
920
remove
varTerm
921
def
appTerm
6
ref
appTerm
873
ref
appTerm
appTerm
6
ref
appTerm
appTerm
921
remove
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
883
remove
13
ref
497
ref
513
ref
55
ref
appTerm
6
ref
appTerm
873
remove
appTerm
appTerm
6
ref
appTerm
appTerm
55
ref
appTerm
refl
appThm
trans
884
remove
917
remove
assume
appThm
eqMp
sym
498
ref
885
remove
869
remove
subst
appThm
582
ref
appThm
549
ref
trans
eqMp
eqMp
nil
76
ref
918
remove
cons
922
def
916
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
63
ref
19
ref
67
ref
appTerm
66
remove
191
ref
appTerm
923
def
appTerm
absTerm
924
def
412
ref
appTerm
925
def
betaConv
nil
150
ref
924
ref
appTerm
926
def
axiom
927
def
nil
30
ref
926
remove
nil
cons
cons
928
def
31
ref
925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
924
ref
nil
cons
cons
929
def
836
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
922
remove
78
ref
667
remove
cons
839
ref
875
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
930
def
subst
820
ref
trans
sym
68
ref
eqMp
931
def
nil
497
ref
500
ref
164
ref
appTerm
appTerm
6
ref
appTerm
thm
257
ref
163
ref
nil
4
ref
501
ref
nil
cons
932
def
cons
nil
cons
nil
cons
cons
933
def
nil
30
ref
17
ref
nil
cons
934
def
cons
31
ref
497
ref
500
ref
332
ref
appTerm
935
def
appTerm
16
ref
appTerm
936
def
nil
cons
937
def
cons
nil
cons
938
def
cons
nil
cons
cons
222
ref
subst
200
ref
4
ref
18
ref
242
ref
463
ref
332
ref
appTerm
939
def
appTerm
940
def
"Data.List.length"
const
941
def
330
remove
constTerm
942
def
16
ref
appTerm
943
def
appTerm
944
def
appTerm
absTerm
945
def
16
ref
appTerm
946
def
betaConv
947
def
80
ref
158
ref
appThm
387
ref
865
ref
384
ref
appThm
948
def
492
ref
trans
949
def
appThm
138
ref
nil
242
ref
941
ref
10
ref
140
ref
180
ref
cons
opType
constTerm
950
def
143
ref
appTerm
appTerm
164
ref
appTerm
axiom
subst
951
def
appThm
820
ref
trans
appThm
272
ref
63
ref
13
ref
13
ref
55
ref
appTerm
952
def
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
953
def
65
ref
appTerm
954
def
betaConv
nil
150
ref
953
ref
appTerm
955
def
axiom
nil
30
ref
955
remove
nil
cons
cons
31
ref
954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
953
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
956
def
subst
957
def
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
159
remove
appTerm
242
ref
463
ref
385
ref
appTerm
958
def
appTerm
942
ref
6
ref
appTerm
959
def
appTerm
960
def
appTerm
961
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
13
ref
15
ref
886
ref
varTerm
962
def
appTerm
963
def
appTerm
242
ref
463
ref
331
ref
962
ref
appTerm
964
def
appTerm
965
def
appTerm
942
ref
962
ref
appTerm
966
def
appTerm
967
def
appTerm
968
def
appTerm
13
ref
15
ref
516
ref
887
ref
varTerm
969
def
appTerm
970
def
962
ref
appTerm
971
def
appTerm
appTerm
972
def
242
ref
463
ref
331
ref
971
ref
appTerm
973
def
appTerm
974
def
appTerm
942
ref
971
ref
appTerm
975
def
appTerm
976
def
appTerm
977
def
appTerm
978
def
absTerm
979
def
appTerm
980
def
absTerm
981
def
appTerm
982
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
981
remove
nil
cons
cons
nil
cons
nil
cons
cons
138
ref
561
ref
subst
983
def
subst
887
ref
nil
63
ref
980
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
979
remove
nil
cons
cons
nil
cons
nil
cons
cons
547
ref
561
ref
subst
984
def
subst
886
ref
nil
63
ref
978
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
968
ref
nil
cons
985
def
cons
31
ref
977
remove
nil
cons
986
def
cons
nil
cons
cons
nil
cons
cons
987
def
49
ref
subst
987
remove
121
ref
subst
972
ref
refl
387
ref
nil
163
ref
973
ref
nil
cons
988
def
cons
nil
cons
989
def
nil
cons
cons
990
def
853
ref
subst
991
def
appThm
975
ref
refl
992
def
appThm
appThm
sym
80
ref
886
ref
972
remove
290
remove
10
ref
1
ref
12
ref
nil
cons
993
def
cons
opType
constTerm
994
def
21
ref
962
ref
appTerm
995
def
appTerm
996
def
969
ref
appTerm
997
def
963
remove
appTerm
appTerm
absTerm
998
def
962
ref
appTerm
999
def
betaConv
28
ref
refl
1000
def
886
ref
80
ref
nil
4
ref
971
ref
nil
cons
cons
nil
cons
nil
cons
cons
1001
def
133
ref
subst
appThm
997
ref
refl
1002
def
nil
4
ref
962
ref
nil
cons
1003
def
cons
1004
def
nil
cons
nil
cons
cons
1005
def
133
remove
subst
appThm
appThm
absThm
appThm
sym
80
ref
134
ref
nil
886
ref
7
remove
cons
1006
def
nil
cons
nil
cons
cons
138
ref
890
ref
160
ref
142
ref
900
ref
appTerm
1007
def
appTerm
1008
def
absTerm
1009
def
899
ref
appTerm
1010
def
betaConv
896
ref
906
ref
1009
ref
appTerm
1011
def
absTerm
1012
def
897
ref
appTerm
1013
def
betaConv
nil
111
ref
1012
ref
appTerm
1014
def
axiom
nil
30
ref
1014
remove
nil
cons
cons
31
ref
1013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1012
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1011
remove
nil
cons
cons
31
ref
1010
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1009
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1008
remove
nil
cons
cons
31
ref
13
ref
1007
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
1007
remove
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
subst
1015
def
subst
appThm
nil
153
ref
969
ref
nil
cons
1016
def
cons
nil
cons
1017
def
nil
cons
cons
1018
def
138
ref
116
ref
266
ref
23
remove
10
ref
140
ref
139
ref
cons
opType
constTerm
1019
def
895
ref
117
ref
appTerm
1020
def
143
ref
appTerm
appTerm
appTerm
117
ref
appTerm
absTerm
1021
def
117
ref
appTerm
1022
def
betaConv
nil
111
ref
1021
ref
appTerm
1023
def
axiom
nil
30
ref
1023
remove
nil
cons
cons
31
ref
1022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1021
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
63
ref
1016
ref
cons
nil
cons
nil
cons
cons
1024
def
63
ref
13
ref
19
ref
191
ref
appTerm
1025
def
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
1026
def
65
ref
appTerm
1027
def
betaConv
nil
150
ref
1026
ref
appTerm
1028
def
axiom
nil
30
ref
1028
remove
nil
cons
cons
31
ref
1027
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1026
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1029
def
subst
trans
appThm
994
ref
refl
1030
def
145
remove
appThm
1031
def
969
ref
refl
1032
def
appThm
157
remove
appThm
nil
"t2"
1
ref
var
1033
def
270
ref
cons
"t1"
1
ref
var
1034
def
1016
ref
cons
nil
cons
1035
def
cons
nil
cons
cons
138
ref
490
remove
subst
1036
def
subst
trans
appThm
1018
remove
269
ref
subst
1037
def
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
19
ref
21
ref
970
ref
6
ref
appTerm
1038
def
appTerm
appTerm
24
ref
1038
remove
appTerm
appTerm
appTerm
994
ref
21
ref
6
ref
appTerm
1039
def
appTerm
1040
def
969
ref
appTerm
19
ref
1039
remove
appTerm
146
remove
appTerm
appTerm
appTerm
1041
def
nil
cons
cons
31
ref
150
ref
"h'"
1
ref
var
1042
def
28
ref
886
ref
32
ref
13
ref
19
ref
21
ref
971
ref
appTerm
1043
def
appTerm
24
ref
971
ref
appTerm
appTerm
appTerm
997
ref
19
ref
995
remove
appTerm
24
ref
962
ref
appTerm
appTerm
appTerm
appTerm
1044
def
appTerm
13
ref
19
ref
21
ref
970
ref
516
ref
1042
ref
varTerm
1045
def
appTerm
962
ref
appTerm
1046
def
appTerm
1047
def
appTerm
appTerm
24
ref
1047
remove
appTerm
appTerm
appTerm
994
ref
21
remove
1046
ref
appTerm
1048
def
appTerm
969
ref
appTerm
19
ref
1048
remove
appTerm
24
remove
1046
ref
appTerm
1049
def
appTerm
appTerm
appTerm
1050
def
appTerm
1051
def
absTerm
1052
def
appTerm
1053
def
absTerm
1054
def
appTerm
1055
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
1054
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1042
ref
nil
63
ref
1053
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
1052
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
1051
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1044
ref
nil
cons
1056
def
cons
31
ref
1050
remove
nil
cons
1057
def
cons
nil
cons
cons
nil
cons
cons
1058
def
49
ref
subst
1058
remove
121
ref
subst
80
ref
134
ref
nil
886
ref
1046
ref
nil
cons
cons
nil
cons
nil
cons
cons
1015
ref
subst
appThm
nil
1004
remove
"x2"
1
ref
var
1045
remove
nil
cons
1059
def
cons
"x1"
1
ref
var
1016
ref
cons
nil
cons
cons
cons
nil
cons
cons
138
ref
"l"
140
ref
var
1060
def
266
ref
1019
ref
895
ref
"x1"
108
ref
var
1061
def
varTerm
1062
def
appTerm
895
ref
"x2"
108
ref
var
1063
def
varTerm
1064
def
appTerm
1060
ref
varTerm
1065
def
appTerm
1066
def
appTerm
appTerm
appTerm
1019
remove
1066
remove
appTerm
appTerm
absTerm
1067
def
1065
ref
appTerm
1068
def
betaConv
1063
remove
906
ref
1067
ref
appTerm
1069
def
absTerm
1070
def
1064
ref
appTerm
1071
def
betaConv
1061
remove
111
ref
1070
ref
appTerm
1072
def
absTerm
1073
def
1062
ref
appTerm
1074
def
betaConv
nil
111
ref
1073
ref
appTerm
1075
def
axiom
nil
30
ref
1075
remove
nil
cons
cons
31
ref
1074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1073
remove
nil
cons
cons
116
ref
1062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1072
remove
nil
cons
cons
31
ref
1071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1070
remove
nil
cons
cons
116
ref
1064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1069
remove
nil
cons
cons
31
ref
1068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1067
remove
nil
cons
cons
914
ref
1065
ref
nil
cons
cons
nil
cons
1076
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
63
ref
1049
ref
nil
cons
1077
def
cons
nil
cons
nil
cons
cons
1029
ref
subst
1078
def
trans
appThm
1030
ref
nil
887
ref
1059
remove
cons
nil
cons
nil
cons
cons
1015
ref
subst
1079
def
appThm
1032
ref
appThm
134
ref
1079
remove
appThm
1049
remove
refl
appThm
1078
remove
trans
appThm
nil
1033
ref
1077
ref
cons
1035
remove
cons
nil
cons
cons
138
ref
323
remove
subst
1080
def
subst
trans
appThm
nil
153
ref
1077
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
1056
remove
cons
78
ref
1057
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
1041
remove
appTerm
1055
remove
appTerm
nil
cons
cons
31
ref
28
ref
886
ref
1044
remove
absTerm
1081
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
1081
ref
6
ref
appTerm
betaConv
appThm
150
ref
refl
1082
def
1042
remove
1000
ref
886
ref
200
ref
1081
ref
962
ref
appTerm
betaConv
1083
def
appThm
1081
ref
1046
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
886
ref
1083
remove
absThm
appThm
appThm
nil
"p"
14
ref
var
1084
def
1081
remove
nil
cons
cons
nil
cons
nil
cons
cons
138
ref
"p"
141
ref
var
1085
def
32
ref
38
ref
1085
remove
varTerm
1086
def
143
ref
appTerm
appTerm
111
ref
896
ref
906
ref
890
ref
32
ref
1086
ref
899
ref
appTerm
appTerm
1086
ref
900
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
906
ref
1060
ref
1086
ref
1065
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1087
def
1086
ref
appTerm
1088
def
betaConv
nil
27
ref
10
ref
905
ref
2
ref
cons
opType
constTerm
1087
ref
appTerm
1089
def
axiom
nil
30
ref
1089
remove
nil
cons
cons
31
ref
1088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
891
ref
cons
nil
cons
"P"
905
remove
var
1087
remove
nil
cons
cons
"x"
141
remove
var
1086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1090
def
subst
eqMp
eqMp
eqMp
1091
def
nil
30
ref
28
ref
998
ref
appTerm
1092
def
nil
cons
1093
def
cons
31
ref
999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
998
remove
nil
cons
cons
105
ref
1003
remove
cons
nil
cons
1094
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1095
def
1002
remove
968
remove
assume
appThm
trans
appThm
387
ref
630
ref
387
ref
886
ref
242
ref
973
ref
appTerm
1096
def
342
ref
969
ref
appTerm
1097
def
964
ref
appTerm
1098
def
appTerm
1099
def
absTerm
1100
def
962
ref
appTerm
1101
def
betaConv
887
ref
28
ref
1100
ref
appTerm
1102
def
absTerm
1103
def
969
ref
appTerm
1104
def
betaConv
1082
ref
887
ref
1000
ref
886
ref
387
ref
1001
ref
339
ref
subst
167
ref
163
ref
242
ref
334
ref
971
ref
appTerm
170
ref
appTerm
appTerm
1097
ref
334
ref
962
ref
appTerm
1105
def
170
ref
appTerm
appTerm
appTerm
absTerm
1106
def
170
ref
appTerm
1107
def
betaConv
886
ref
178
ref
1106
ref
appTerm
1108
def
absTerm
1109
def
962
ref
appTerm
1110
def
betaConv
887
ref
28
ref
1109
ref
appTerm
1111
def
absTerm
1112
def
969
ref
appTerm
1113
def
betaConv
1082
ref
887
ref
1000
ref
886
ref
257
ref
163
ref
387
ref
1001
ref
350
ref
subst
352
remove
355
remove
890
ref
360
ref
367
ref
900
ref
appTerm
appTerm
365
ref
897
ref
appTerm
367
remove
899
ref
appTerm
appTerm
appTerm
absTerm
1114
def
899
ref
appTerm
1115
def
betaConv
896
ref
906
ref
1114
ref
appTerm
1116
def
absTerm
1117
def
897
ref
appTerm
1118
def
betaConv
357
ref
111
ref
1117
ref
appTerm
1119
def
absTerm
1120
def
366
ref
appTerm
1121
def
betaConv
364
remove
370
ref
1120
ref
appTerm
1122
def
absTerm
1123
def
365
remove
appTerm
1124
def
betaConv
nil
375
remove
1123
ref
appTerm
1125
def
axiom
nil
30
ref
1125
remove
nil
cons
cons
31
ref
1124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
377
remove
378
remove
1123
remove
nil
cons
cons
379
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1122
remove
nil
cons
cons
31
ref
1121
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
380
ref
381
ref
1120
remove
nil
cons
cons
382
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1119
remove
nil
cons
cons
31
ref
1118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1117
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1116
remove
nil
cons
cons
31
ref
1115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1114
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
1097
ref
refl
1126
def
1005
ref
350
remove
subst
appThm
appThm
nil
184
ref
1097
ref
343
remove
962
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
272
ref
547
ref
277
ref
subst
subst
1127
def
trans
absThm
appThm
272
ref
138
ref
277
ref
subst
subst
1128
def
trans
sym
68
ref
eqMp
1129
def
nil
30
ref
150
ref
1112
ref
appTerm
1130
def
nil
cons
cons
31
ref
1113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1112
remove
nil
cons
cons
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1111
remove
nil
cons
cons
31
ref
1110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
1109
remove
nil
cons
cons
1094
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1108
remove
nil
cons
cons
31
ref
1107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1106
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
1126
ref
1005
ref
339
remove
subst
appThm
appThm
nil
184
ref
1097
ref
1105
remove
164
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
1127
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
1131
def
nil
30
ref
150
ref
1103
ref
appTerm
1132
def
nil
cons
cons
31
ref
1104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1103
remove
nil
cons
cons
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1102
remove
nil
cons
cons
31
ref
1101
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
1100
remove
nil
cons
cons
1094
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1133
def
appThm
402
ref
appThm
1134
def
nil
"t"
162
ref
var
1135
def
964
ref
nil
cons
1136
def
cons
nil
cons
nil
cons
cons
1137
def
774
ref
38
ref
13
ref
242
ref
1097
ref
1135
ref
varTerm
1138
def
appTerm
1139
def
appTerm
1140
def
164
ref
appTerm
1141
def
appTerm
1142
def
774
ref
varTerm
1143
def
appTerm
appTerm
13
ref
1143
ref
appTerm
1144
def
38
ref
160
ref
969
ref
appTerm
1145
def
appTerm
1146
def
242
ref
1138
ref
appTerm
164
ref
appTerm
1147
def
appTerm
1148
def
appTerm
appTerm
absTerm
1149
def
1140
ref
342
ref
191
ref
appTerm
1150
def
164
ref
appTerm
appTerm
1151
def
appTerm
betaConv
sym
1142
ref
refl
1140
ref
refl
1152
def
285
remove
nil
1135
ref
165
ref
cons
887
ref
298
ref
cons
nil
cons
1153
def
cons
nil
cons
cons
1135
ref
1140
ref
467
ref
286
ref
969
ref
appTerm
1154
def
appTerm
1155
def
"Number.Natural.*"
const
292
ref
constTerm
1156
def
393
ref
appTerm
1157
def
1138
ref
appTerm
1158
def
appTerm
1159
def
appTerm
1160
def
absTerm
1161
def
1138
ref
appTerm
1162
def
betaConv
887
ref
178
ref
1161
ref
appTerm
1163
def
absTerm
1164
def
969
ref
appTerm
1165
def
betaConv
nil
150
ref
1164
ref
appTerm
1166
def
axiom
1167
def
nil
30
ref
1166
remove
nil
cons
cons
31
ref
1165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1164
remove
nil
cons
cons
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1163
remove
nil
cons
cons
31
ref
1162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1161
remove
nil
cons
cons
184
ref
1138
ref
nil
cons
1168
def
cons
nil
cons
1169
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1170
def
subst
467
ref
288
ref
appTerm
refl
nil
442
ref
403
ref
cons
nil
cons
1171
def
nil
cons
cons
1172
def
442
ref
242
ref
1156
ref
445
ref
appTerm
1173
def
164
ref
appTerm
1174
def
appTerm
164
ref
appTerm
absTerm
1175
def
445
ref
appTerm
1176
def
betaConv
nil
178
ref
1175
ref
appTerm
1177
def
axiom
nil
30
ref
1177
remove
nil
cons
cons
31
ref
1176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1175
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1178
def
subst
appThm
nil
442
ref
288
ref
nil
cons
1179
def
cons
nil
cons
nil
cons
cons
442
ref
242
ref
633
ref
164
ref
appTerm
appTerm
445
ref
appTerm
absTerm
1180
def
445
ref
appTerm
1181
def
betaConv
nil
178
ref
1180
ref
appTerm
1182
def
axiom
nil
30
ref
1182
remove
nil
cons
cons
31
ref
1181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1180
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1183
def
subst
trans
trans
1184
def
subst
326
ref
trans
1185
def
appThm
appThm
nil
153
ref
1141
ref
nil
cons
cons
nil
cons
1186
def
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
nil
30
ref
1142
ref
1151
ref
appTerm
nil
cons
cons
31
ref
13
ref
1151
ref
appTerm
1148
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
302
ref
"h2"
1
ref
var
1187
def
198
ref
cons
303
ref
1168
ref
cons
"h1"
1
ref
var
1188
def
1016
ref
cons
nil
cons
cons
1189
def
cons
cons
nil
cons
cons
nil
30
ref
242
ref
342
ref
1188
ref
varTerm
1190
def
appTerm
1191
def
303
ref
varTerm
1192
def
appTerm
1193
def
appTerm
342
ref
1187
ref
varTerm
1194
def
appTerm
1195
def
301
ref
varTerm
1196
def
appTerm
1197
def
appTerm
1198
def
nil
cons
1199
def
cons
31
ref
38
ref
13
ref
1190
ref
appTerm
1200
def
1194
ref
appTerm
1201
def
appTerm
242
ref
1192
ref
appTerm
1202
def
1196
ref
appTerm
1203
def
appTerm
1204
def
nil
cons
1205
def
cons
nil
cons
cons
nil
cons
cons
1206
def
222
ref
subst
1206
ref
49
ref
subst
1206
remove
121
ref
subst
239
ref
1198
ref
assume
1207
def
appThm
80
ref
nil
1135
ref
1192
ref
nil
cons
1208
def
cons
1209
def
887
ref
1190
ref
nil
cons
1210
def
cons
nil
cons
1211
def
cons
nil
cons
cons
1212
def
239
ref
1170
ref
appThm
nil
"n2"
162
ref
var
1213
def
1158
ref
nil
cons
1214
def
cons
"n1"
162
ref
var
1215
def
1154
ref
nil
cons
1216
def
cons
nil
cons
cons
nil
cons
cons
1213
ref
13
ref
169
ref
467
ref
1215
ref
varTerm
1217
def
appTerm
1218
def
1213
ref
varTerm
1219
def
appTerm
1220
def
appTerm
appTerm
160
ref
13
ref
169
ref
1217
ref
appTerm
1221
def
appTerm
169
ref
1219
ref
appTerm
1222
def
appTerm
appTerm
appTerm
absTerm
1223
def
1219
ref
appTerm
1224
def
betaConv
1215
ref
178
ref
1223
ref
appTerm
1225
def
absTerm
1226
def
1217
ref
appTerm
1227
def
betaConv
257
ref
1215
ref
257
ref
1213
ref
80
ref
nil
163
ref
1220
ref
nil
cons
1228
def
cons
nil
cons
nil
cons
cons
1229
def
188
ref
subst
nil
163
ref
1219
ref
nil
cons
1230
def
cons
1231
def
442
ref
1217
ref
nil
cons
1232
def
cons
nil
cons
1233
def
cons
nil
cons
cons
1234
def
163
ref
13
ref
173
ref
633
ref
170
ref
appTerm
1235
def
appTerm
appTerm
160
ref
13
ref
173
ref
445
ref
appTerm
1236
def
appTerm
174
ref
appTerm
appTerm
appTerm
absTerm
1237
def
170
ref
appTerm
1238
def
betaConv
442
ref
178
ref
1237
ref
appTerm
1239
def
absTerm
1240
def
445
ref
appTerm
1241
def
betaConv
nil
178
ref
1240
ref
appTerm
1242
def
axiom
nil
30
ref
1242
remove
nil
cons
cons
31
ref
1241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1240
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1239
remove
nil
cons
cons
31
ref
1238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1237
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
161
ref
80
ref
nil
163
ref
1232
ref
cons
1243
def
nil
cons
nil
cons
cons
1244
def
188
ref
subst
1245
def
appThm
nil
1231
remove
nil
cons
nil
cons
cons
1246
def
188
ref
subst
1247
def
appThm
appThm
appThm
nil
153
ref
160
ref
13
ref
173
ref
1217
ref
appTerm
1248
def
appTerm
173
ref
1219
ref
appTerm
1249
def
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
1250
def
nil
30
ref
178
ref
1226
ref
appTerm
1251
def
nil
cons
cons
31
ref
1227
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1226
remove
nil
cons
cons
184
ref
1232
ref
cons
nil
cons
1252
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1225
remove
nil
cons
cons
31
ref
1224
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1223
remove
nil
cons
cons
184
ref
1230
ref
cons
nil
cons
1253
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
161
ref
80
ref
nil
284
ref
1016
ref
cons
nil
cons
nil
cons
cons
1254
def
nil
30
ref
13
ref
287
ref
appTerm
1255
def
191
ref
appTerm
1256
def
nil
cons
1257
def
cons
1258
def
31
ref
13
ref
169
ref
288
ref
appTerm
appTerm
287
ref
appTerm
1259
def
nil
cons
1260
def
cons
nil
cons
1261
def
cons
nil
cons
cons
1262
def
49
ref
subst
1262
remove
121
ref
subst
13
ref
"_29025"
1
ref
var
1263
def
13
ref
169
ref
286
ref
1263
remove
varTerm
1264
def
appTerm
appTerm
appTerm
1264
remove
appTerm
absTerm
1265
def
287
ref
appTerm
1266
def
appTerm
refl
1267
def
1265
remove
191
ref
appTerm
betaConv
appThm
80
ref
1266
remove
betaConv
appThm
1268
def
13
ref
169
ref
327
ref
appTerm
appTerm
191
ref
appTerm
refl
appThm
trans
284
ref
1259
remove
absTerm
1269
def
refl
1270
def
1256
remove
assume
1271
def
appThm
eqMp
sym
239
ref
326
ref
appThm
234
ref
trans
eqMp
eqMp
nil
76
ref
1257
ref
cons
1272
def
78
ref
1260
ref
cons
nil
cons
1273
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1255
ref
55
ref
appTerm
1274
def
nil
cons
1275
def
cons
1276
def
1261
remove
cons
nil
cons
cons
1277
def
49
ref
subst
1277
remove
121
ref
subst
1267
remove
"_29023"
1
ref
var
1278
def
13
ref
169
ref
286
ref
1278
remove
varTerm
1279
def
appTerm
appTerm
appTerm
1279
remove
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
1268
remove
13
ref
169
ref
286
ref
55
ref
appTerm
1280
def
appTerm
appTerm
55
ref
appTerm
refl
appThm
trans
1270
remove
1274
remove
assume
1281
def
appThm
eqMp
sym
239
ref
nil
284
ref
270
ref
cons
nil
cons
nil
cons
cons
1282
def
300
ref
subst
1283
def
305
remove
823
ref
subst
1284
def
trans
1285
def
appThm
282
ref
trans
eqMp
eqMp
nil
76
ref
1275
remove
cons
1286
def
1273
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
287
ref
appTerm
1287
def
betaConv
927
ref
nil
928
ref
31
ref
1287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
299
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1288
def
nil
1286
ref
78
ref
1257
remove
cons
1289
def
839
ref
1260
ref
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
1290
def
subst
appThm
nil
163
ref
1168
ref
cons
1291
def
nil
cons
nil
cons
cons
nil
1213
ref
185
ref
cons
1292
def
1215
ref
403
ref
cons
nil
cons
cons
nil
cons
cons
1213
ref
13
ref
169
ref
1156
ref
1217
ref
appTerm
1293
def
1219
ref
appTerm
1294
def
appTerm
appTerm
38
ref
1221
remove
appTerm
1222
remove
appTerm
appTerm
absTerm
1295
def
1219
ref
appTerm
1296
def
betaConv
1215
ref
178
ref
1295
ref
appTerm
1297
def
absTerm
1298
def
1217
ref
appTerm
1299
def
betaConv
257
ref
1215
ref
257
ref
1213
ref
80
ref
nil
163
ref
1294
ref
nil
cons
cons
nil
cons
nil
cons
cons
1300
def
188
ref
subst
1234
ref
163
ref
13
ref
173
remove
1173
ref
170
ref
appTerm
1301
def
appTerm
appTerm
38
ref
1236
remove
appTerm
174
ref
appTerm
appTerm
absTerm
1302
def
170
ref
appTerm
1303
def
betaConv
442
ref
178
ref
1302
ref
appTerm
1304
def
absTerm
1305
def
445
ref
appTerm
1306
def
betaConv
nil
178
ref
1305
ref
appTerm
1307
def
axiom
nil
30
ref
1307
remove
nil
cons
cons
31
ref
1306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1305
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1304
remove
nil
cons
cons
31
ref
1303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1302
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
596
ref
1245
remove
appThm
1247
remove
appThm
appThm
nil
153
ref
38
ref
1248
remove
appTerm
1249
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
1308
def
nil
30
ref
178
ref
1298
ref
appTerm
1309
def
nil
cons
cons
31
ref
1299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1298
remove
nil
cons
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1297
remove
nil
cons
cons
31
ref
1296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1295
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
596
ref
239
ref
426
ref
appThm
428
ref
281
remove
subst
161
ref
282
ref
appThm
nil
13
ref
160
ref
55
ref
appTerm
1310
def
appTerm
191
ref
appTerm
axiom
1311
def
trans
trans
trans
1312
def
appThm
171
ref
refl
1313
def
appThm
nil
63
ref
888
ref
cons
nil
cons
nil
cons
cons
63
ref
13
ref
38
ref
191
ref
appTerm
1314
def
65
ref
appTerm
appTerm
191
ref
appTerm
absTerm
1315
def
65
ref
appTerm
1316
def
betaConv
nil
150
ref
1315
ref
appTerm
1317
def
axiom
nil
30
ref
1317
remove
nil
cons
cons
31
ref
1316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1315
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1318
def
subst
trans
trans
1319
def
subst
appThm
1024
ref
63
ref
13
ref
923
remove
appTerm
648
ref
appTerm
absTerm
1320
def
65
ref
appTerm
1321
def
betaConv
nil
150
ref
1320
ref
appTerm
1322
def
axiom
nil
30
ref
1322
remove
nil
cons
cons
31
ref
1321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1320
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1323
def
subst
1324
def
trans
appThm
1024
ref
63
ref
13
ref
160
ref
648
ref
appTerm
appTerm
65
ref
appTerm
absTerm
1325
def
65
ref
appTerm
1326
def
betaConv
nil
150
ref
1325
ref
appTerm
1327
def
axiom
nil
30
ref
1327
remove
nil
cons
cons
31
ref
1326
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1325
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1328
def
subst
trans
trans
trans
1329
def
subst
1330
def
appThm
nil
1135
ref
1196
ref
nil
cons
1331
def
cons
1332
def
887
ref
1194
ref
nil
cons
1333
def
cons
nil
cons
1334
def
cons
nil
cons
cons
1335
def
1329
ref
subst
1336
def
appThm
13
ref
169
ref
1193
ref
appTerm
appTerm
169
ref
1197
ref
appTerm
appTerm
assume
eqMp
proveHyp
nil
30
ref
1201
ref
nil
cons
1337
def
cons
31
ref
1203
ref
nil
cons
1338
def
cons
nil
cons
1339
def
cons
nil
cons
cons
121
ref
subst
1340
def
proveHyp
862
ref
1207
remove
appThm
387
ref
1212
ref
387
ref
nil
163
ref
1139
ref
nil
cons
cons
nil
cons
nil
cons
cons
1341
def
400
ref
subst
826
ref
1170
ref
appThm
827
ref
appThm
trans
appThm
1138
ref
refl
appThm
sym
479
ref
38
ref
242
ref
391
ref
1159
ref
appTerm
1342
def
393
ref
appTerm
1343
def
appTerm
1344
def
479
ref
varTerm
1345
def
appTerm
appTerm
242
ref
1345
ref
appTerm
1346
def
1138
ref
appTerm
appTerm
absTerm
1347
def
467
ref
391
ref
1154
ref
appTerm
1348
def
393
ref
appTerm
1349
def
appTerm
1350
def
391
ref
1158
ref
appTerm
1351
def
393
ref
appTerm
1352
def
appTerm
1353
def
appTerm
betaConv
sym
163
ref
767
ref
13
ref
242
ref
"Number.Natural.mod"
const
292
ref
constTerm
1354
def
1159
ref
appTerm
1355
def
170
ref
appTerm
1356
def
appTerm
467
ref
1354
ref
1154
ref
appTerm
1357
def
170
ref
appTerm
appTerm
1358
def
1354
ref
1158
ref
appTerm
1359
def
170
ref
appTerm
appTerm
1360
def
appTerm
appTerm
242
ref
1342
remove
170
ref
appTerm
appTerm
467
ref
1348
remove
170
ref
appTerm
appTerm
1361
def
1351
remove
170
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1362
def
393
ref
appTerm
1363
def
betaConv
351
ref
178
ref
163
ref
767
ref
13
ref
242
ref
1354
ref
1155
ref
351
ref
varTerm
1364
def
appTerm
1365
def
appTerm
170
ref
appTerm
1366
def
appTerm
1358
remove
1354
ref
1364
ref
appTerm
170
ref
appTerm
1367
def
appTerm
1368
def
appTerm
appTerm
242
ref
391
ref
1365
remove
appTerm
170
ref
appTerm
appTerm
1361
remove
391
ref
1364
ref
appTerm
170
ref
appTerm
1369
def
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1370
def
1158
ref
appTerm
1371
def
betaConv
"a"
162
ref
var
1372
def
178
ref
351
ref
178
ref
163
ref
767
ref
13
ref
242
ref
1354
ref
467
ref
1372
ref
varTerm
1373
def
appTerm
1364
ref
appTerm
1374
def
appTerm
170
ref
appTerm
1375
def
appTerm
467
ref
1354
ref
1373
ref
appTerm
170
ref
appTerm
appTerm
1367
remove
appTerm
1376
def
appTerm
appTerm
242
ref
391
ref
1374
remove
appTerm
170
ref
appTerm
appTerm
467
ref
391
ref
1373
ref
appTerm
170
ref
appTerm
appTerm
1369
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1377
def
1154
ref
appTerm
1378
def
betaConv
nil
178
ref
1377
ref
appTerm
1379
def
axiom
nil
30
ref
1379
remove
nil
cons
cons
31
ref
1378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1377
remove
nil
cons
cons
184
ref
1216
ref
cons
nil
cons
1380
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1370
ref
appTerm
nil
cons
cons
31
ref
1371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1370
remove
nil
cons
cons
184
ref
1214
ref
cons
nil
cons
1381
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1362
ref
appTerm
nil
cons
cons
31
ref
1363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1362
remove
nil
cons
cons
733
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
32
ref
761
remove
appTerm
1382
def
13
ref
242
ref
1355
remove
393
ref
appTerm
1383
def
appTerm
467
ref
1357
remove
393
ref
appTerm
1384
def
appTerm
1385
def
1359
remove
393
ref
appTerm
1386
def
appTerm
1387
def
appTerm
1388
def
appTerm
1344
ref
1353
ref
appTerm
1389
def
appTerm
1390
def
appTerm
nil
cons
cons
31
ref
1389
ref
nil
cons
1391
def
cons
nil
cons
1392
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
438
remove
appThm
1393
def
1390
ref
refl
appThm
nil
63
ref
1390
ref
nil
cons
1394
def
cons
nil
cons
nil
cons
cons
63
ref
13
ref
32
ref
55
ref
appTerm
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
1395
def
65
ref
appTerm
1396
def
betaConv
nil
150
ref
1395
ref
appTerm
1397
def
axiom
nil
30
ref
1397
remove
nil
cons
cons
31
ref
1396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1395
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1398
def
subst
trans
appThm
1389
remove
refl
appThm
sym
nil
30
ref
1394
ref
cons
1392
remove
cons
nil
cons
cons
1399
def
49
ref
subst
1399
remove
121
ref
subst
1390
remove
assume
163
ref
1382
ref
242
ref
1354
ref
1157
ref
170
ref
appTerm
1400
def
appTerm
393
ref
appTerm
appTerm
164
ref
appTerm
appTerm
absTerm
1401
def
1138
ref
appTerm
1402
def
betaConv
442
ref
178
ref
163
ref
32
ref
160
ref
695
ref
164
ref
appTerm
1403
def
appTerm
1404
def
appTerm
1405
def
242
ref
1354
ref
1301
ref
appTerm
445
ref
appTerm
appTerm
164
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1406
def
393
ref
appTerm
1407
def
betaConv
nil
178
ref
1406
ref
appTerm
1408
def
axiom
nil
30
ref
1408
remove
nil
cons
cons
31
ref
1407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1406
remove
nil
cons
cons
733
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1401
ref
appTerm
nil
cons
cons
31
ref
1402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1401
remove
nil
cons
cons
1169
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1382
ref
242
ref
1386
ref
appTerm
164
ref
appTerm
1409
def
appTerm
1410
def
nil
cons
cons
31
ref
1388
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
163
ref
767
ref
242
ref
1354
ref
1360
remove
appTerm
170
ref
appTerm
appTerm
1356
remove
appTerm
appTerm
absTerm
1411
def
393
ref
appTerm
1412
def
betaConv
351
ref
178
ref
163
ref
767
ref
242
ref
1354
ref
1368
remove
appTerm
170
ref
appTerm
appTerm
1366
remove
appTerm
appTerm
absTerm
appTerm
absTerm
1413
def
1158
remove
appTerm
1414
def
betaConv
1372
ref
178
ref
351
ref
178
ref
163
ref
767
ref
242
ref
1354
ref
1376
remove
appTerm
170
ref
appTerm
appTerm
1375
remove
appTerm
appTerm
1415
def
absTerm
1416
def
appTerm
1417
def
absTerm
1418
def
appTerm
1419
def
absTerm
1420
def
1154
ref
appTerm
1421
def
betaConv
nil
183
ref
1420
ref
nil
cons
cons
1422
def
nil
cons
nil
cons
cons
562
ref
subst
1372
ref
nil
63
ref
1419
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1418
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
351
ref
nil
63
ref
1417
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1416
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
1415
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
351
remove
1415
remove
absTerm
1423
def
1364
ref
appTerm
1424
def
betaConv
1372
remove
178
ref
1423
ref
appTerm
1425
def
absTerm
1426
def
1373
ref
appTerm
1427
def
betaConv
163
ref
178
ref
1426
ref
appTerm
1428
def
absTerm
1429
def
170
ref
appTerm
1430
def
betaConv
nil
178
ref
1429
ref
appTerm
1431
def
axiom
nil
30
ref
1431
remove
nil
cons
cons
31
ref
1430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1429
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1428
remove
nil
cons
cons
31
ref
1427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1426
remove
nil
cons
cons
184
ref
1373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1425
remove
nil
cons
cons
31
ref
1424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1423
remove
nil
cons
cons
184
ref
1364
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
1420
remove
appTerm
nil
cons
cons
31
ref
1421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
1422
remove
1380
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1413
ref
appTerm
nil
cons
cons
31
ref
1414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1413
remove
nil
cons
cons
1381
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1411
ref
appTerm
nil
cons
cons
31
ref
1412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1411
remove
nil
cons
cons
733
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1382
ref
242
ref
1354
ref
1387
ref
appTerm
393
ref
appTerm
1432
def
appTerm
1433
def
1383
ref
appTerm
1434
def
appTerm
nil
cons
cons
31
ref
32
ref
1410
remove
appTerm
1388
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
1393
ref
1434
ref
refl
appThm
nil
63
ref
1434
ref
nil
cons
1435
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
200
ref
1393
ref
1409
ref
refl
appThm
nil
63
ref
1409
ref
nil
cons
1436
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
1388
ref
refl
appThm
appThm
sym
nil
30
ref
1435
ref
cons
31
ref
32
ref
1409
ref
appTerm
1437
def
1388
remove
appTerm
nil
cons
1438
def
cons
nil
cons
cons
nil
cons
cons
1439
def
49
ref
subst
1439
remove
121
ref
subst
13
ref
"_29039"
162
ref
var
1440
def
1437
ref
242
ref
1440
remove
varTerm
appTerm
1387
ref
appTerm
appTerm
absTerm
1441
def
1383
remove
appTerm
1442
def
appTerm
refl
1441
ref
1432
remove
appTerm
betaConv
appThm
80
ref
1442
remove
betaConv
appThm
1437
remove
1433
remove
1387
remove
appTerm
1443
def
appTerm
refl
appThm
trans
1441
remove
refl
1434
remove
assume
sym
appThm
eqMp
sym
nil
30
ref
1436
ref
cons
31
ref
1443
remove
nil
cons
1444
def
cons
nil
cons
cons
nil
cons
cons
1445
def
49
ref
subst
1445
remove
121
ref
subst
13
ref
"_29041"
162
ref
var
1446
def
242
ref
1354
ref
1385
ref
1446
remove
varTerm
appTerm
1447
def
appTerm
393
ref
appTerm
appTerm
1447
remove
appTerm
absTerm
1448
def
1386
remove
appTerm
1449
def
appTerm
refl
1448
ref
164
ref
appTerm
betaConv
appThm
80
ref
1449
remove
betaConv
appThm
242
ref
1354
ref
1385
remove
164
ref
appTerm
1450
def
appTerm
393
ref
appTerm
appTerm
1450
remove
appTerm
refl
appThm
trans
1448
remove
refl
1409
remove
assume
appThm
eqMp
sym
387
ref
1354
ref
refl
nil
442
ref
1384
ref
nil
cons
cons
nil
cons
nil
cons
cons
1183
ref
subst
1451
def
appThm
827
ref
appThm
appThm
1451
remove
appThm
sym
759
ref
nil
762
ref
31
ref
242
ref
1354
ref
1384
ref
appTerm
393
ref
appTerm
appTerm
1384
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
404
ref
442
ref
1216
ref
cons
nil
cons
1452
def
cons
nil
cons
cons
442
ref
767
ref
242
ref
1354
ref
1354
ref
445
ref
appTerm
170
ref
appTerm
1453
def
appTerm
170
ref
appTerm
appTerm
1453
ref
appTerm
appTerm
absTerm
1454
def
445
ref
appTerm
1455
def
betaConv
163
ref
178
ref
1454
ref
appTerm
1456
def
absTerm
1457
def
170
ref
appTerm
1458
def
betaConv
nil
178
ref
1457
ref
appTerm
1459
def
axiom
nil
30
ref
1459
remove
nil
cons
cons
31
ref
1458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1457
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1456
remove
nil
cons
cons
31
ref
1455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1454
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1436
remove
cons
78
ref
1444
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
1435
remove
cons
78
ref
1438
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1394
remove
cons
78
ref
1391
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
30
ref
1391
remove
cons
31
ref
242
ref
1353
ref
appTerm
1138
ref
appTerm
1460
def
nil
cons
1461
def
cons
nil
cons
1462
def
cons
nil
cons
cons
121
ref
subst
proveHyp
163
ref
1382
ref
242
ref
391
ref
1400
ref
appTerm
393
ref
appTerm
appTerm
170
ref
appTerm
appTerm
absTerm
1463
def
1138
ref
appTerm
1464
def
betaConv
442
ref
178
ref
163
ref
1405
remove
242
ref
391
ref
1301
ref
appTerm
445
ref
appTerm
appTerm
170
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1465
def
393
ref
appTerm
1466
def
betaConv
nil
178
ref
1465
ref
appTerm
1467
def
axiom
nil
30
ref
1467
remove
nil
cons
cons
31
ref
1466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1465
remove
nil
cons
cons
733
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
1463
ref
appTerm
nil
cons
cons
31
ref
1464
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1463
remove
nil
cons
cons
1169
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1382
remove
242
ref
1352
ref
appTerm
1138
ref
appTerm
1468
def
appTerm
nil
cons
cons
1462
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
1393
remove
1468
ref
refl
appThm
nil
63
ref
1468
ref
nil
cons
1469
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
1460
remove
refl
appThm
sym
nil
30
ref
1469
ref
cons
1462
remove
cons
nil
cons
cons
1470
def
49
ref
subst
1470
remove
121
ref
subst
13
ref
"_29043"
162
ref
var
1471
def
242
ref
1350
ref
1471
remove
varTerm
appTerm
appTerm
1138
ref
appTerm
absTerm
1472
def
1352
remove
appTerm
1473
def
appTerm
refl
1472
ref
1138
ref
appTerm
betaConv
appThm
80
ref
1473
remove
betaConv
appThm
242
ref
1350
remove
1138
ref
appTerm
appTerm
1138
ref
appTerm
refl
appThm
trans
1472
remove
refl
1468
remove
assume
appThm
eqMp
sym
nil
1291
ref
442
ref
1349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
163
ref
13
ref
242
ref
1235
ref
appTerm
1474
def
170
ref
appTerm
appTerm
1403
ref
appTerm
absTerm
1475
def
170
ref
appTerm
1476
def
betaConv
442
ref
178
ref
1475
ref
appTerm
1477
def
absTerm
1478
def
445
ref
appTerm
1479
def
betaConv
nil
178
ref
1478
ref
appTerm
1480
def
axiom
nil
30
ref
1480
remove
nil
cons
cons
31
ref
1479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1478
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1477
remove
nil
cons
cons
31
ref
1476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1475
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1481
def
subst
387
ref
nil
163
ref
1216
remove
cons
nil
cons
nil
cons
cons
163
ref
676
remove
389
ref
appTerm
1482
def
absTerm
1483
def
170
ref
appTerm
1484
def
betaConv
257
ref
163
ref
1482
remove
assume
sym
395
remove
assume
sym
deductAntisym
absThm
appThm
399
remove
eqMp
nil
30
ref
178
ref
1483
ref
appTerm
nil
cons
cons
31
ref
1484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1483
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1254
ref
nil
1258
ref
31
ref
242
ref
388
ref
288
ref
appTerm
appTerm
164
ref
appTerm
1485
def
nil
cons
1486
def
cons
nil
cons
1487
def
cons
nil
cons
cons
1488
def
49
ref
subst
1488
remove
121
ref
subst
13
ref
"_29035"
1
ref
var
1489
def
242
ref
388
ref
286
ref
1489
remove
varTerm
appTerm
appTerm
appTerm
164
ref
appTerm
absTerm
1490
def
287
ref
appTerm
1491
def
appTerm
refl
1492
def
1490
ref
191
ref
appTerm
betaConv
appThm
80
ref
1491
remove
betaConv
appThm
1493
def
242
ref
388
ref
327
ref
appTerm
appTerm
164
ref
appTerm
refl
appThm
trans
1490
remove
refl
1494
def
1271
ref
appThm
eqMp
sym
862
ref
326
ref
appThm
461
ref
trans
eqMp
eqMp
nil
1272
ref
78
ref
1486
ref
cons
nil
cons
1495
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
1276
ref
1487
remove
cons
nil
cons
cons
1496
def
49
ref
subst
1496
remove
121
ref
subst
1492
remove
"_29033"
1
ref
var
1497
def
242
ref
388
ref
286
ref
1497
remove
varTerm
appTerm
appTerm
appTerm
164
ref
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
1493
remove
242
ref
388
ref
1280
ref
appTerm
appTerm
164
ref
appTerm
refl
appThm
trans
1494
remove
1281
ref
appThm
eqMp
sym
862
ref
1285
ref
appThm
387
ref
428
ref
400
ref
subst
appThm
402
ref
appThm
sym
742
remove
sym
68
ref
eqMp
1498
def
nil
30
ref
713
remove
nil
cons
cons
1499
def
31
ref
242
ref
391
ref
283
ref
appTerm
393
ref
appTerm
appTerm
164
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
404
remove
442
ref
304
ref
cons
1500
def
nil
cons
1501
def
cons
nil
cons
cons
460
remove
subst
eqMp
eqMp
1502
def
trans
eqMp
eqMp
nil
1286
ref
1495
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1288
ref
nil
1286
ref
1289
ref
839
ref
1486
ref
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
1503
def
subst
trans
appThm
402
ref
appThm
820
ref
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
1469
remove
cons
78
ref
1461
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
1347
ref
nil
cons
cons
184
ref
1353
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
13
ref
"Data.Bool.?"
const
1504
def
110
ref
constTerm
1505
def
113
ref
appTerm
1506
def
appTerm
1507
def
refl
123
ref
150
ref
31
ref
32
ref
111
ref
116
ref
32
ref
124
ref
117
ref
appTerm
1508
def
appTerm
1509
def
35
ref
appTerm
absTerm
appTerm
appTerm
35
ref
appTerm
absTerm
appTerm
absTerm
1510
def
113
remove
appTerm
betaConv
appThm
nil
128
remove
1505
ref
appTerm
1510
remove
appTerm
axiom
129
remove
appThm
eqMp
1511
def
sym
nil
152
ref
78
ref
32
ref
111
ref
116
ref
32
ref
118
ref
appTerm
1512
def
83
ref
appTerm
1513
def
absTerm
1514
def
appTerm
1515
def
appTerm
1516
def
83
ref
appTerm
1517
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
78
ref
nil
63
ref
1517
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1515
ref
nil
cons
1518
def
cons
1519
def
31
ref
83
ref
nil
cons
1520
def
cons
nil
cons
1521
def
cons
nil
cons
cons
1522
def
49
ref
subst
1522
ref
121
ref
subst
nil
30
ref
119
ref
cons
1521
ref
cons
nil
cons
cons
1523
def
101
ref
subst
1524
def
1514
ref
117
ref
appTerm
1525
def
betaConv
nil
1519
ref
31
ref
1525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
320
ref
112
ref
1514
remove
nil
cons
cons
1526
def
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1527
def
eqMp
eqMp
nil
76
ref
1518
ref
cons
1528
def
78
ref
1520
ref
cons
nil
cons
1529
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1530
def
subst
proveHyp
nil
30
ref
1504
ref
177
ref
constTerm
1531
def
1347
remove
appTerm
nil
cons
cons
31
ref
1344
remove
1138
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
ref
1168
remove
cons
184
ref
1343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
273
ref
"z"
108
ref
var
1532
def
32
ref
1505
ref
775
ref
38
ref
777
ref
appTerm
778
remove
1532
ref
varTerm
1533
def
appTerm
appTerm
1534
def
absTerm
1535
def
appTerm
1536
def
appTerm
1537
def
267
remove
1533
ref
appTerm
1538
def
appTerm
1539
def
absTerm
1540
def
1533
ref
appTerm
1541
def
betaConv
116
ref
111
ref
1540
ref
appTerm
1542
def
absTerm
1543
def
117
ref
appTerm
1544
def
betaConv
nil
111
ref
116
ref
111
ref
775
ref
111
ref
1532
ref
32
ref
1534
ref
appTerm
1538
ref
appTerm
absTerm
1545
def
appTerm
1546
def
absTerm
1547
def
appTerm
1548
def
absTerm
1549
def
appTerm
1550
def
axiom
nil
30
ref
1550
ref
nil
cons
1551
def
cons
1552
def
31
ref
111
ref
1543
ref
appTerm
nil
cons
1553
def
cons
nil
cons
cons
nil
cons
cons
1554
def
101
ref
subst
proveHyp
1554
ref
49
ref
subst
1554
remove
121
ref
subst
nil
112
ref
1543
remove
nil
cons
cons
1555
def
nil
cons
nil
cons
cons
561
ref
subst
116
ref
nil
63
ref
1542
remove
nil
cons
1556
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
112
ref
1540
remove
nil
cons
cons
1557
def
nil
cons
nil
cons
cons
561
ref
subst
1532
remove
nil
63
ref
1539
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1536
remove
nil
cons
1558
def
cons
1559
def
31
ref
1538
ref
nil
cons
1560
def
cons
nil
cons
1561
def
cons
nil
cons
cons
1562
def
49
ref
subst
1562
remove
121
ref
subst
nil
1552
ref
1561
ref
cons
nil
cons
cons
1563
def
101
ref
subst
nil
1559
remove
31
ref
32
ref
1550
remove
appTerm
1538
remove
appTerm
1564
def
nil
cons
1565
def
cons
nil
cons
1566
def
cons
nil
cons
cons
101
ref
subst
nil
112
ref
775
ref
32
ref
1535
ref
776
ref
appTerm
1567
def
appTerm
1564
ref
appTerm
1568
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
561
ref
subst
775
ref
nil
63
ref
1568
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1567
ref
nil
cons
1569
def
cons
1566
ref
cons
nil
cons
cons
1570
def
49
ref
subst
1570
remove
121
ref
subst
1567
ref
betaConv
1567
remove
assume
eqMp
nil
30
ref
1534
remove
nil
cons
1571
def
cons
1572
def
1566
remove
cons
nil
cons
cons
1573
def
101
ref
subst
proveHyp
1573
ref
49
ref
subst
1573
remove
121
ref
subst
1563
ref
49
ref
subst
1563
remove
121
ref
subst
nil
1572
remove
1561
remove
cons
nil
cons
cons
101
ref
subst
1545
ref
1533
ref
appTerm
1574
def
betaConv
1547
ref
776
ref
appTerm
1575
def
betaConv
1549
ref
117
ref
appTerm
1576
def
betaConv
nil
1552
remove
31
ref
1576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
320
ref
112
ref
1549
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1548
remove
nil
cons
cons
31
ref
1575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1547
remove
nil
cons
cons
800
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1546
remove
nil
cons
cons
31
ref
1574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1545
remove
nil
cons
cons
116
ref
1533
remove
nil
cons
cons
nil
cons
1577
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1551
remove
cons
1578
def
78
ref
1560
remove
cons
nil
cons
1579
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
1571
remove
cons
78
ref
1565
remove
cons
nil
cons
1580
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
1569
remove
cons
1580
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
111
ref
"x'"
108
ref
var
1581
def
32
ref
1535
ref
1581
remove
varTerm
appTerm
appTerm
1564
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
1537
remove
1564
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1535
remove
nil
cons
cons
1580
remove
cons
nil
cons
cons
nil
1519
ref
31
ref
32
ref
1506
ref
appTerm
1582
def
83
ref
appTerm
nil
cons
1583
def
cons
nil
cons
cons
nil
cons
cons
1584
def
49
ref
subst
1584
remove
121
ref
subst
nil
30
ref
1506
remove
nil
cons
1585
def
cons
1586
def
1521
ref
cons
nil
cons
cons
1587
def
49
ref
subst
1587
remove
121
ref
subst
1522
remove
101
ref
subst
31
ref
32
ref
111
ref
116
ref
1512
remove
35
ref
appTerm
absTerm
appTerm
appTerm
35
ref
appTerm
absTerm
1588
def
83
ref
appTerm
1589
def
betaConv
nil
1586
remove
31
ref
150
ref
1588
ref
appTerm
1590
def
nil
cons
1591
def
cons
nil
cons
cons
nil
cons
cons
1592
def
101
ref
subst
1511
remove
nil
30
ref
1507
remove
1590
ref
appTerm
nil
cons
cons
31
ref
1582
remove
1590
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1592
remove
nil
30
ref
202
remove
nil
cons
1593
def
cons
1594
def
31
ref
210
ref
cons
nil
cons
1595
def
cons
nil
cons
cons
1596
def
49
ref
subst
1596
remove
121
ref
subst
209
remove
eqMp
nil
76
ref
1593
remove
cons
1597
def
78
ref
210
remove
cons
nil
cons
1598
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1599
def
subst
eqMp
eqMp
nil
30
ref
1591
remove
cons
31
ref
1589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1588
remove
nil
cons
cons
153
ref
1520
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1585
remove
cons
1529
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
1528
ref
78
ref
1583
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1600
def
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1558
remove
cons
1579
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1578
remove
78
ref
1553
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
1553
remove
cons
31
ref
1544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
1555
remove
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1556
remove
cons
31
ref
1541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
1557
remove
1577
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1601
def
subst
1602
def
subst
eqMp
eqMp
1603
def
subst
1604
def
appThm
1335
ref
1603
ref
subst
1605
def
appThm
242
ref
388
ref
1193
ref
appTerm
appTerm
388
ref
1197
ref
appTerm
appTerm
assume
eqMp
proveHyp
eqMp
eqMp
nil
76
ref
1199
ref
cons
78
ref
1205
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
32
ref
1198
ref
appTerm
1204
ref
appTerm
nil
cons
cons
31
ref
32
ref
1204
ref
appTerm
1198
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
1205
ref
cons
31
ref
1199
ref
cons
nil
cons
1606
def
cons
nil
cons
cons
1607
def
49
ref
subst
1607
remove
121
ref
subst
nil
76
ref
1337
ref
cons
78
ref
1338
ref
cons
nil
cons
cons
nil
cons
cons
1608
def
92
ref
subst
1608
remove
221
ref
subst
342
ref
refl
1609
def
1201
ref
assume
appThm
1203
ref
assume
1610
def
appThm
proveHyp
proveHyp
eqMp
nil
76
ref
1205
remove
cons
78
ref
1199
remove
cons
nil
cons
1611
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1612
def
subst
596
ref
1324
remove
appThm
1147
ref
refl
1613
def
appThm
trans
eqMp
eqMp
136
ref
152
ref
1149
ref
nil
cons
cons
153
ref
1151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1504
ref
58
remove
constTerm
1614
def
1149
remove
appTerm
nil
cons
cons
31
ref
1142
remove
1148
ref
appTerm
1615
def
nil
cons
1616
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"z"
1
ref
var
1617
def
1148
ref
nil
cons
1618
def
cons
1186
remove
cons
nil
cons
cons
138
ref
1601
remove
subst
1619
def
subst
eqMp
1620
def
subst
1621
def
trans
1622
def
appThm
402
ref
appThm
467
ref
463
ref
388
ref
973
ref
appTerm
appTerm
1623
def
appTerm
283
ref
appTerm
1624
def
refl
appThm
appThm
138
ref
890
ref
242
ref
950
ref
900
ref
appTerm
appTerm
245
ref
950
ref
899
ref
appTerm
1625
def
appTerm
appTerm
absTerm
1626
def
899
ref
appTerm
1627
def
betaConv
896
ref
906
ref
1626
ref
appTerm
1628
def
absTerm
1629
def
897
ref
appTerm
1630
def
betaConv
nil
111
ref
1629
ref
appTerm
1631
def
axiom
nil
30
ref
1631
remove
nil
cons
cons
31
ref
1630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1629
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1628
remove
nil
cons
cons
31
ref
1627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1626
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1632
def
appThm
appThm
sym
13
ref
997
remove
967
ref
appTerm
appTerm
1633
def
refl
387
ref
294
ref
1146
ref
242
ref
964
ref
appTerm
164
ref
appTerm
1634
def
appTerm
1635
def
appTerm
164
ref
appTerm
1636
def
refl
nil
442
ref
1623
remove
nil
cons
cons
nil
cons
nil
cons
cons
644
ref
subst
1637
def
251
ref
865
ref
862
ref
1133
ref
appThm
1137
ref
1603
ref
subst
1638
def
trans
1639
def
appThm
appThm
1640
def
trans
appThm
appThm
245
ref
966
ref
appTerm
1641
def
refl
1642
def
appThm
appThm
sym
nil
30
ref
13
ref
969
ref
appTerm
1643
def
191
ref
appTerm
1644
def
nil
cons
1645
def
cons
31
ref
1633
remove
242
ref
1636
remove
245
ref
965
ref
appTerm
1646
def
appTerm
appTerm
1641
ref
appTerm
appTerm
nil
cons
1647
def
cons
nil
cons
1648
def
cons
nil
cons
cons
1649
def
49
ref
subst
1649
remove
121
ref
subst
13
ref
"_29063"
1
ref
var
1650
def
13
ref
996
ref
1650
remove
varTerm
1651
def
appTerm
967
ref
appTerm
appTerm
242
ref
294
ref
38
ref
160
ref
1651
remove
appTerm
appTerm
1634
ref
appTerm
appTerm
164
ref
appTerm
1646
ref
appTerm
appTerm
1641
ref
appTerm
appTerm
absTerm
1652
def
969
ref
appTerm
1653
def
appTerm
refl
1654
def
1652
ref
191
ref
appTerm
betaConv
appThm
80
ref
1653
remove
betaConv
appThm
1655
def
13
ref
996
ref
191
ref
appTerm
967
ref
appTerm
appTerm
242
ref
294
ref
38
ref
235
ref
appTerm
1656
def
1634
ref
appTerm
appTerm
164
ref
appTerm
1646
ref
appTerm
appTerm
1641
ref
appTerm
appTerm
1657
def
refl
appThm
trans
1652
remove
refl
1658
def
1644
remove
assume
appThm
eqMp
sym
4
ref
13
ref
994
ref
22
remove
appTerm
191
ref
appTerm
944
ref
appTerm
appTerm
242
ref
294
ref
1656
ref
333
remove
164
ref
appTerm
1659
def
appTerm
appTerm
164
ref
appTerm
245
ref
939
ref
appTerm
appTerm
appTerm
245
ref
943
ref
appTerm
appTerm
appTerm
absTerm
1660
def
962
ref
appTerm
1661
def
betaConv
1662
def
80
ref
1031
remove
191
ref
refl
1663
def
appThm
387
ref
948
ref
appThm
959
ref
refl
1664
def
appThm
appThm
nil
1033
ref
494
remove
959
ref
appTerm
nil
cons
cons
1034
ref
198
ref
cons
nil
cons
1665
def
cons
nil
cons
cons
1036
ref
subst
trans
appThm
387
ref
630
ref
596
ref
236
ref
appThm
1666
def
387
ref
384
ref
appThm
402
ref
appThm
820
ref
trans
1667
def
appThm
750
ref
trans
appThm
402
ref
appThm
251
ref
948
remove
appThm
appThm
nil
301
ref
245
ref
493
ref
appTerm
nil
cons
cons
645
ref
cons
nil
cons
cons
823
ref
subst
trans
appThm
245
ref
959
ref
appTerm
1668
def
refl
appThm
nil
163
ref
959
ref
nil
cons
cons
nil
cons
nil
cons
cons
1669
def
161
ref
550
ref
254
ref
appTerm
1670
def
assume
sym
429
remove
assume
sym
deductAntisym
appThm
434
remove
eqMp
nil
30
ref
160
ref
1670
ref
appTerm
nil
cons
cons
31
ref
13
ref
1670
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
1670
remove
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
1671
def
subst
trans
appThm
653
ref
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
1040
remove
191
ref
appTerm
960
remove
appTerm
appTerm
242
ref
294
ref
1656
ref
386
ref
appTerm
appTerm
164
ref
appTerm
245
ref
958
ref
appTerm
appTerm
appTerm
1668
remove
appTerm
appTerm
1672
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
1657
ref
appTerm
13
ref
994
ref
1043
remove
appTerm
191
ref
appTerm
976
ref
appTerm
appTerm
242
ref
294
ref
1656
ref
1096
remove
164
ref
appTerm
1673
def
appTerm
appTerm
164
ref
appTerm
245
ref
974
ref
appTerm
1674
def
appTerm
appTerm
245
ref
975
ref
appTerm
1675
def
appTerm
appTerm
1676
def
appTerm
1677
def
absTerm
1678
def
appTerm
1679
def
absTerm
1680
def
appTerm
1681
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
1680
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
1679
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
1678
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
1677
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1657
remove
nil
cons
1682
def
cons
31
ref
1676
remove
nil
cons
1683
def
cons
nil
cons
cons
nil
cons
cons
1684
def
49
ref
subst
1684
remove
121
ref
subst
80
ref
1030
ref
1015
remove
appThm
1663
ref
appThm
976
ref
refl
appThm
nil
1033
ref
976
ref
nil
cons
1685
def
cons
1665
remove
cons
nil
cons
cons
1080
ref
subst
trans
appThm
387
ref
630
ref
1666
ref
1673
ref
refl
appThm
nil
63
ref
1673
ref
nil
cons
1686
def
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
appThm
402
ref
appThm
1674
ref
refl
appThm
appThm
1675
ref
refl
appThm
appThm
sym
80
ref
"_29072"
162
ref
var
1687
def
13
ref
976
remove
appTerm
1688
def
242
ref
1687
remove
varTerm
appTerm
1675
ref
appTerm
appTerm
absTerm
1689
def
294
ref
1673
ref
appTerm
164
ref
appTerm
1690
def
1674
ref
appTerm
appTerm
betaConv
appThm
596
ref
32
ref
1673
ref
appTerm
1691
def
refl
1689
ref
164
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
1673
ref
appTerm
1692
def
appTerm
1693
def
refl
1689
ref
1674
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
162
ref
var
1694
def
1674
ref
nil
cons
cons
"_482"
162
ref
var
1695
def
165
ref
cons
1696
def
"_483"
1
ref
var
1697
def
1686
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
168
ref
var
1698
def
1689
remove
nil
cons
cons
nil
cons
nil
cons
cons
273
ref
nil
116
ref
"_482"
108
ref
var
varTerm
nil
cons
cons
"c"
1
ref
var
1699
def
1697
ref
varTerm
nil
cons
cons
123
ref
"_484"
109
ref
var
varTerm
nil
cons
cons
775
ref
"_485"
108
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
775
ref
13
ref
124
ref
309
ref
1699
ref
varTerm
1700
def
appTerm
117
ref
appTerm
776
ref
appTerm
appTerm
appTerm
38
ref
32
ref
1700
ref
appTerm
1508
ref
appTerm
appTerm
32
ref
160
ref
1700
ref
appTerm
appTerm
124
ref
776
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1701
def
776
ref
appTerm
1702
def
betaConv
116
ref
111
ref
1701
ref
appTerm
1703
def
absTerm
1704
def
117
ref
appTerm
1705
def
betaConv
1699
remove
111
ref
1704
ref
appTerm
1706
def
absTerm
1707
def
1700
ref
appTerm
1708
def
betaConv
123
ref
150
ref
1707
ref
appTerm
1709
def
absTerm
1710
def
124
ref
appTerm
1711
def
betaConv
nil
27
ref
127
remove
constTerm
1712
def
1710
ref
appTerm
1713
def
axiom
nil
30
ref
1713
remove
nil
cons
cons
31
ref
1711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
265
remove
cons
nil
cons
1714
def
"P"
110
remove
var
1715
def
1710
remove
nil
cons
cons
"x"
109
ref
var
124
ref
nil
cons
1716
def
cons
nil
cons
1717
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1709
remove
nil
cons
cons
31
ref
1708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
1707
remove
nil
cons
cons
153
ref
1700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1706
remove
nil
cons
cons
31
ref
1705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1704
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1703
remove
nil
cons
cons
31
ref
1702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1701
remove
nil
cons
cons
800
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1718
def
subst
1719
def
subst
subst
eqMp
sym
nil
30
ref
1686
ref
cons
31
ref
1688
ref
550
ref
1675
ref
appTerm
appTerm
1720
def
nil
cons
1721
def
cons
nil
cons
cons
nil
cons
cons
1722
def
49
ref
subst
1722
remove
121
ref
subst
80
ref
387
ref
865
ref
1673
ref
assume
appThm
492
ref
trans
appThm
1632
ref
appThm
nil
163
ref
966
ref
nil
cons
1723
def
cons
1724
def
nil
cons
nil
cons
cons
1725
def
1671
ref
subst
trans
appThm
nil
163
ref
975
ref
nil
cons
cons
1726
def
nil
cons
nil
cons
cons
1727
def
1671
ref
subst
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
1686
ref
cons
78
ref
1721
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1691
remove
1720
remove
appTerm
nil
cons
cons
31
ref
1693
remove
1688
ref
242
ref
1674
remove
appTerm
1675
remove
appTerm
appTerm
1728
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
1692
remove
nil
cons
1729
def
cons
31
ref
1728
remove
nil
cons
1730
def
cons
nil
cons
cons
nil
cons
cons
1731
def
49
ref
subst
1731
remove
121
ref
subst
1688
remove
refl
nil
1726
remove
442
ref
974
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
163
ref
13
ref
639
remove
254
ref
appTerm
appTerm
696
ref
appTerm
absTerm
1732
def
170
ref
appTerm
1733
def
betaConv
442
ref
178
ref
1732
ref
appTerm
1734
def
absTerm
1735
def
445
ref
appTerm
1736
def
betaConv
nil
178
ref
1735
ref
appTerm
1737
def
axiom
nil
30
ref
1737
remove
nil
cons
cons
31
ref
1736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1735
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1734
remove
nil
cons
cons
31
ref
1733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1732
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1738
def
subst
appThm
nil
153
ref
1685
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
1729
remove
cons
78
ref
1730
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1682
remove
cons
78
ref
1683
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
1672
remove
appTerm
1681
remove
appTerm
nil
cons
cons
31
ref
28
ref
1660
ref
appTerm
nil
cons
1739
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
1660
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
1662
remove
appThm
1660
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
1660
ref
16
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1084
ref
1660
remove
nil
cons
1740
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
nil
30
ref
1739
remove
cons
31
ref
1661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
1740
remove
cons
1094
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1645
ref
cons
78
ref
1647
ref
cons
nil
cons
1741
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1643
remove
55
ref
appTerm
1742
def
nil
cons
1743
def
cons
1648
remove
cons
nil
cons
cons
1744
def
49
ref
subst
1744
remove
121
ref
subst
1654
remove
"_29061"
1
ref
var
1745
def
13
ref
996
ref
1745
remove
varTerm
1746
def
appTerm
967
ref
appTerm
appTerm
242
ref
294
ref
38
ref
160
ref
1746
remove
appTerm
appTerm
1634
ref
appTerm
appTerm
164
ref
appTerm
1646
ref
appTerm
appTerm
1641
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
1655
remove
13
ref
996
remove
55
ref
appTerm
967
ref
appTerm
appTerm
242
ref
294
ref
38
ref
1310
ref
appTerm
1747
def
1634
ref
appTerm
appTerm
164
ref
appTerm
1646
ref
appTerm
appTerm
1641
ref
appTerm
appTerm
refl
appThm
trans
1658
remove
1742
remove
assume
appThm
eqMp
sym
80
ref
1030
ref
1005
remove
138
ref
1060
ref
13
ref
142
ref
1065
ref
appTerm
appTerm
892
ref
1065
ref
appTerm
143
ref
appTerm
appTerm
absTerm
1748
def
1065
ref
appTerm
1749
def
betaConv
nil
906
ref
1748
ref
appTerm
1750
def
axiom
nil
30
ref
1750
remove
nil
cons
cons
31
ref
1749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1748
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
87
ref
appThm
967
ref
refl
1751
def
appThm
appThm
387
ref
630
ref
596
ref
1311
ref
appThm
1752
def
1634
ref
refl
appThm
nil
63
ref
1634
ref
nil
cons
cons
nil
cons
nil
cons
cons
1318
ref
subst
trans
appThm
402
ref
appThm
1646
ref
refl
appThm
nil
301
ref
1646
remove
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
appThm
1642
remove
appThm
nil
1724
ref
442
ref
965
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1753
def
1738
ref
subst
trans
appThm
sym
80
ref
"_29065"
1
ref
var
1754
def
13
ref
1754
remove
varTerm
appTerm
967
ref
appTerm
absTerm
1755
def
994
ref
497
ref
962
ref
appTerm
6
ref
appTerm
1756
def
appTerm
55
ref
appTerm
967
ref
appTerm
appTerm
betaConv
appThm
596
ref
32
ref
1756
ref
appTerm
1757
def
refl
1755
ref
55
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
1756
ref
appTerm
1758
def
appTerm
1759
def
refl
1755
ref
967
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
1
ref
var
1760
def
967
ref
nil
cons
1761
def
cons
"_482"
1
ref
var
1762
def
270
ref
cons
1697
ref
1756
ref
nil
cons
1763
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
11
ref
var
1764
def
1755
remove
nil
cons
cons
nil
cons
nil
cons
cons
138
ref
1718
ref
subst
1765
def
subst
subst
eqMp
sym
nil
30
ref
1763
ref
cons
31
ref
952
ref
967
ref
appTerm
1766
def
nil
cons
1767
def
cons
nil
cons
cons
nil
cons
cons
1768
def
49
ref
subst
1768
remove
121
ref
subst
nil
63
ref
1761
remove
cons
nil
cons
nil
cons
cons
956
ref
subst
387
ref
865
ref
331
ref
refl
1769
def
1756
remove
assume
1770
def
appThm
384
ref
trans
appThm
492
ref
trans
appThm
942
ref
refl
1771
def
1770
remove
appThm
951
ref
trans
appThm
820
ref
trans
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
1763
remove
cons
78
ref
1767
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1757
remove
1766
remove
appTerm
nil
cons
cons
31
ref
1759
remove
13
ref
967
ref
appTerm
967
remove
appTerm
1772
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
1758
remove
nil
cons
1773
def
cons
31
ref
1772
remove
nil
cons
1774
def
cons
nil
cons
cons
nil
cons
cons
1775
def
49
ref
subst
1775
remove
121
ref
subst
1751
remove
eqMp
nil
76
ref
1773
remove
cons
78
ref
1774
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
1743
remove
cons
1776
def
1741
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
969
ref
appTerm
1777
def
betaConv
927
ref
nil
928
ref
31
ref
1777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
1776
remove
78
ref
1645
remove
cons
839
ref
1647
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
985
remove
cons
78
ref
986
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
961
remove
appTerm
982
remove
appTerm
nil
cons
cons
31
ref
28
ref
945
ref
appTerm
1778
def
nil
cons
1779
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
945
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
945
ref
962
ref
appTerm
betaConv
appThm
945
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
947
remove
absThm
appThm
appThm
nil
1084
ref
945
remove
nil
cons
1780
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
1781
def
nil
30
ref
1779
remove
cons
31
ref
946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
1780
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1782
def
appThm
936
ref
refl
appThm
sym
nil
30
ref
944
ref
nil
cons
1783
def
cons
938
ref
cons
nil
cons
cons
1784
def
49
ref
subst
1784
remove
121
ref
subst
596
ref
387
ref
nil
163
ref
332
ref
nil
cons
1785
def
cons
nil
cons
1786
def
nil
cons
cons
1787
def
1771
ref
509
ref
appThm
524
ref
1771
ref
522
ref
527
remove
"Data.List.map"
const
1788
def
10
ref
168
ref
10
ref
0
ref
180
ref
opType
1789
def
102
ref
cons
opType
nil
cons
cons
opType
constTerm
1790
def
"Number.Natural.Bits.bit"
const
241
ref
constTerm
1791
def
170
ref
appTerm
1792
def
appTerm
1793
def
"Data.List.interval"
const
10
ref
162
ref
10
ref
162
ref
1789
ref
nil
cons
1794
def
cons
opType
nil
cons
cons
opType
constTerm
1795
def
164
ref
appTerm
1796
def
525
ref
appTerm
1797
def
appTerm
appTerm
1798
def
absTerm
1799
def
525
ref
appTerm
1800
def
betaConv
1801
def
163
ref
178
ref
1799
ref
appTerm
1802
def
absTerm
1803
def
170
ref
appTerm
1804
def
betaConv
80
ref
257
ref
163
ref
257
ref
522
ref
163
ref
1799
ref
absTerm
1805
def
170
ref
appTerm
betaConv
525
ref
refl
1806
def
appThm
1801
remove
trans
1807
def
absThm
appThm
absThm
appThm
appThm
257
ref
522
ref
257
ref
163
ref
1807
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
241
ref
var
1808
def
1805
remove
nil
cons
cons
nil
cons
nil
cons
cons
353
ref
182
ref
cons
137
ref
cons
"p"
10
ref
108
ref
359
remove
cons
opType
1809
def
var
1810
def
13
ref
111
ref
116
ref
370
ref
481
ref
1810
remove
varTerm
1811
def
117
ref
appTerm
482
remove
appTerm
1812
def
absTerm
appTerm
absTerm
appTerm
appTerm
370
ref
481
remove
111
ref
116
ref
1812
remove
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1813
def
1811
ref
appTerm
1814
def
betaConv
nil
27
ref
10
ref
10
ref
1809
ref
2
ref
cons
opType
1815
def
2
ref
cons
opType
constTerm
1813
ref
appTerm
1816
def
axiom
nil
30
ref
1816
remove
nil
cons
cons
31
ref
1814
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
1809
ref
nil
cons
cons
nil
cons
"P"
1815
remove
var
1813
remove
nil
cons
cons
"x"
1809
remove
var
1811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1817
def
subst
eqMp
sym
257
ref
163
ref
543
remove
1793
ref
refl
1818
def
nil
444
ref
nil
cons
cons
1819
def
442
ref
9
ref
10
ref
1789
ref
10
ref
1789
ref
2
ref
cons
opType
1820
def
nil
cons
cons
opType
constTerm
1821
def
1795
ref
445
ref
appTerm
1822
def
164
ref
appTerm
appTerm
5
ref
1789
ref
constTerm
appTerm
absTerm
1823
def
445
ref
appTerm
1824
def
betaConv
nil
178
ref
1823
ref
appTerm
1825
def
axiom
nil
30
ref
1825
remove
nil
cons
cons
31
ref
1824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1823
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
nil
"f"
168
ref
var
1826
def
1792
ref
nil
cons
cons
nil
cons
1827
def
nil
cons
cons
181
ref
"B"
2
ref
cons
1828
def
nil
cons
1829
def
cons
137
ref
cons
1830
def
"f"
10
ref
108
ref
361
ref
cons
1831
def
opType
1832
def
var
1833
def
9
ref
10
ref
0
ref
361
ref
opType
1834
def
10
ref
1834
ref
2
ref
cons
opType
1835
def
nil
cons
cons
opType
constTerm
1836
def
1788
ref
10
ref
1832
ref
10
ref
140
ref
1834
ref
nil
cons
1837
def
cons
opType
nil
cons
cons
opType
constTerm
1838
def
1833
ref
varTerm
1839
def
appTerm
1840
def
143
ref
appTerm
appTerm
5
ref
1834
ref
constTerm
1841
def
appTerm
absTerm
1842
def
1839
ref
appTerm
1843
def
betaConv
nil
27
ref
10
ref
10
ref
1832
ref
2
ref
cons
opType
1844
def
2
ref
cons
opType
constTerm
1845
def
1842
ref
appTerm
1846
def
axiom
nil
30
ref
1846
remove
nil
cons
cons
31
ref
1843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
1832
ref
nil
cons
cons
nil
cons
1847
def
"P"
1844
ref
var
1848
def
1842
remove
nil
cons
cons
"x"
1832
ref
var
1849
def
1839
ref
nil
cons
cons
nil
cons
1850
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
549
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
538
remove
1793
ref
1796
ref
164
ref
appTerm
appTerm
appTerm
absTerm
appTerm
1851
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
178
ref
163
ref
1798
remove
absTerm
1852
def
appTerm
1853
def
appTerm
178
ref
163
ref
555
remove
1793
remove
1796
ref
553
ref
appTerm
appTerm
appTerm
absTerm
appTerm
1854
def
appTerm
1855
def
absTerm
1856
def
appTerm
1857
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
1856
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
1855
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1853
ref
nil
cons
1858
def
cons
1859
def
31
ref
1854
remove
nil
cons
1860
def
cons
nil
cons
cons
nil
cons
cons
1861
def
49
ref
subst
1861
remove
121
ref
subst
257
ref
163
ref
498
ref
576
ref
518
ref
521
ref
1852
ref
170
ref
appTerm
1862
def
betaConv
nil
1859
remove
31
ref
1862
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
1852
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
trans
appThm
1818
ref
nil
578
ref
444
ref
cons
nil
cons
cons
1863
def
163
ref
1821
ref
1822
ref
254
ref
appTerm
appTerm
515
ref
10
ref
162
ref
10
ref
1789
ref
1794
ref
cons
opType
nil
cons
1864
def
cons
opType
constTerm
445
ref
appTerm
1795
ref
635
ref
appTerm
170
ref
appTerm
1865
def
appTerm
appTerm
absTerm
1866
def
170
ref
appTerm
1867
def
betaConv
442
ref
178
ref
1866
ref
appTerm
1868
def
absTerm
1869
def
445
ref
appTerm
1870
def
betaConv
nil
178
ref
1869
ref
appTerm
1871
def
axiom
nil
30
ref
1871
remove
nil
cons
cons
31
ref
1870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1869
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1868
remove
nil
cons
cons
31
ref
1867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1866
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
nil
"t"
1789
ref
var
1795
remove
423
ref
appTerm
525
ref
appTerm
nil
cons
cons
"h"
162
ref
var
165
ref
cons
1827
ref
cons
cons
nil
cons
cons
1830
ref
890
ref
1836
remove
1840
ref
900
ref
appTerm
appTerm
515
ref
10
ref
356
ref
10
ref
1834
ref
1837
remove
cons
opType
nil
cons
cons
opType
constTerm
1872
def
1839
ref
897
ref
appTerm
appTerm
1840
ref
899
ref
appTerm
appTerm
appTerm
absTerm
1873
def
899
ref
appTerm
1874
def
betaConv
896
ref
906
ref
1873
ref
appTerm
1875
def
absTerm
1876
def
897
ref
appTerm
1877
def
betaConv
1833
ref
111
ref
1876
ref
appTerm
1878
def
absTerm
1879
def
1839
ref
appTerm
1880
def
betaConv
nil
1845
ref
1879
ref
appTerm
1881
def
axiom
nil
30
ref
1881
remove
nil
cons
cons
31
ref
1880
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
1879
remove
nil
cons
cons
1850
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1878
remove
nil
cons
cons
31
ref
1877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1876
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1875
remove
nil
cons
cons
31
ref
1874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
1873
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
absThm
appThm
sym
257
ref
163
ref
498
ref
518
remove
1790
ref
refl
163
ref
9
ref
10
ref
168
ref
177
remove
nil
cons
cons
opType
constTerm
1791
ref
389
ref
appTerm
1882
def
appTerm
"Function.o"
const
1883
def
10
ref
168
ref
10
ref
243
ref
240
ref
cons
opType
nil
cons
cons
opType
constTerm
1792
ref
appTerm
245
ref
appTerm
1884
def
appTerm
absTerm
1885
def
170
ref
appTerm
1886
def
betaConv
257
ref
163
ref
nil
"g"
168
ref
var
1884
ref
nil
cons
cons
1826
ref
1882
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1830
ref
"g"
1832
ref
var
1887
def
13
ref
9
ref
10
ref
1832
ref
1844
remove
nil
cons
cons
opType
constTerm
1888
def
1839
ref
appTerm
1887
ref
varTerm
1889
def
appTerm
1890
def
appTerm
111
ref
116
ref
360
ref
1839
ref
117
ref
appTerm
appTerm
1889
ref
117
ref
appTerm
1891
def
appTerm
absTerm
appTerm
1892
def
appTerm
absTerm
1893
def
1889
ref
appTerm
1894
def
betaConv
1833
ref
1845
ref
1893
ref
appTerm
1895
def
absTerm
1896
def
1839
ref
appTerm
1897
def
betaConv
1845
ref
refl
1898
def
1833
ref
1898
ref
1887
ref
nil
774
ref
1892
ref
nil
cons
cons
153
ref
1890
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
775
remove
13
ref
777
remove
appTerm
779
remove
appTerm
absTerm
1899
def
776
remove
appTerm
1900
def
betaConv
116
ref
111
ref
1899
ref
appTerm
1901
def
absTerm
1902
def
117
ref
appTerm
1903
def
betaConv
nil
111
ref
1902
ref
appTerm
1904
def
axiom
nil
30
ref
1904
remove
nil
cons
cons
31
ref
1903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1902
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1901
remove
nil
cons
cons
31
ref
1900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1899
remove
nil
cons
cons
800
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1905
def
subst
1906
def
subst
absThm
appThm
absThm
appThm
sym
nil
1845
ref
1833
ref
1845
ref
1887
ref
13
ref
1892
remove
appTerm
1890
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
1845
ref
1896
ref
appTerm
nil
cons
cons
31
ref
1897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
1896
remove
nil
cons
cons
1850
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1895
remove
nil
cons
cons
31
ref
1894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
1893
remove
nil
cons
cons
1849
ref
1889
ref
nil
cons
cons
nil
cons
1907
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1908
def
subst
subst
257
ref
184
ref
13
ref
1882
ref
184
ref
varTerm
1909
def
appTerm
1910
def
appTerm
refl
nil
"g"
243
ref
var
1911
def
245
ref
nil
cons
cons
1827
ref
cons
1912
def
nil
cons
cons
353
ref
181
ref
"C"
2
ref
cons
1913
def
nil
cons
1914
def
cons
cons
137
ref
cons
116
ref
9
ref
10
ref
"C"
varType
1915
def
10
ref
1915
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
1916
def
1883
ref
10
ref
10
ref
356
ref
1915
ref
nil
cons
1917
def
cons
opType
1918
def
10
ref
1832
ref
10
ref
108
ref
1917
ref
cons
opType
1919
def
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
"f"
1918
ref
var
1920
def
varTerm
1921
def
appTerm
1889
ref
appTerm
1922
def
117
ref
appTerm
appTerm
1921
ref
1891
remove
appTerm
appTerm
absTerm
1923
def
117
ref
appTerm
1924
def
betaConv
1887
ref
111
ref
1923
ref
appTerm
1925
def
absTerm
1926
def
1889
ref
appTerm
1927
def
betaConv
1920
ref
1845
ref
1926
ref
appTerm
1928
def
absTerm
1929
def
1921
ref
appTerm
1930
def
betaConv
nil
27
ref
10
ref
10
ref
1918
ref
2
ref
cons
opType
1931
def
2
ref
cons
opType
constTerm
1932
def
1929
ref
appTerm
1933
def
axiom
nil
30
ref
1933
remove
nil
cons
cons
31
ref
1930
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
1918
ref
nil
cons
1934
def
cons
nil
cons
1935
def
"P"
1931
remove
var
1936
def
1929
remove
nil
cons
cons
"x"
1918
ref
var
1921
ref
nil
cons
cons
nil
cons
1937
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1928
remove
nil
cons
cons
31
ref
1927
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
1926
remove
nil
cons
cons
1907
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1925
remove
nil
cons
cons
31
ref
1924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
1923
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1938
def
subst
subst
nil
"i"
162
ref
var
1939
def
1909
ref
nil
cons
1940
def
cons
nil
cons
nil
cons
cons
1939
ref
13
ref
1792
ref
245
ref
1939
ref
varTerm
1941
def
appTerm
1942
def
appTerm
1943
def
appTerm
1882
remove
1941
ref
appTerm
1944
def
appTerm
1945
def
absTerm
1946
def
1941
ref
appTerm
1947
def
betaConv
163
ref
178
ref
1946
ref
appTerm
1948
def
absTerm
1949
def
170
ref
appTerm
1950
def
betaConv
257
ref
163
ref
257
ref
1939
ref
80
ref
nil
1939
ref
1942
ref
nil
cons
1951
def
cons
nil
cons
nil
cons
cons
1952
def
1939
ref
13
ref
1792
ref
1941
ref
appTerm
1953
def
appTerm
1954
def
169
ref
"Number.Natural.Bits.shiftRight"
const
292
ref
constTerm
1955
def
170
ref
appTerm
1956
def
1941
ref
appTerm
1957
def
appTerm
1958
def
appTerm
absTerm
1959
def
1941
ref
appTerm
1960
def
betaConv
163
ref
178
ref
1959
ref
appTerm
1961
def
absTerm
1962
def
170
ref
appTerm
1963
def
betaConv
nil
178
ref
1962
ref
appTerm
1964
def
axiom
nil
30
ref
1964
remove
nil
cons
cons
31
ref
1963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1962
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1961
remove
nil
cons
cons
31
ref
1960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1959
remove
nil
cons
cons
184
ref
1941
ref
nil
cons
1965
def
cons
nil
cons
1966
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
1967
def
subst
239
ref
nil
522
ref
1965
ref
cons
nil
cons
1968
def
nil
cons
cons
522
ref
242
ref
1956
ref
553
ref
appTerm
1969
def
appTerm
1970
def
1955
ref
389
ref
appTerm
1971
def
525
ref
appTerm
1972
def
appTerm
absTerm
1973
def
525
ref
appTerm
1974
def
betaConv
163
ref
178
ref
1973
ref
appTerm
1975
def
absTerm
1976
def
170
ref
appTerm
1977
def
betaConv
257
ref
163
ref
257
ref
522
ref
387
ref
nil
522
ref
553
ref
nil
cons
1978
def
cons
nil
cons
nil
cons
cons
1979
def
522
ref
242
ref
1956
ref
525
ref
appTerm
1980
def
appTerm
1981
def
"Function.^"
const
1982
def
10
ref
243
ref
293
remove
cons
opType
constTerm
1983
def
388
ref
appTerm
1984
def
525
ref
appTerm
1985
def
170
ref
appTerm
1986
def
appTerm
1987
def
absTerm
1988
def
525
ref
appTerm
1989
def
betaConv
1990
def
387
ref
nil
522
ref
165
ref
cons
nil
cons
nil
cons
cons
1991
def
522
ref
1981
ref
392
ref
"Number.Natural.^"
const
292
ref
constTerm
1992
def
393
ref
appTerm
1993
def
525
ref
appTerm
1994
def
appTerm
1995
def
appTerm
absTerm
1996
def
525
ref
appTerm
1997
def
betaConv
163
ref
178
ref
1996
ref
appTerm
1998
def
absTerm
1999
def
170
ref
appTerm
2000
def
betaConv
nil
178
ref
1999
ref
appTerm
2001
def
axiom
nil
30
ref
2001
remove
nil
cons
cons
31
ref
2000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1999
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1998
remove
nil
cons
cons
31
ref
1997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1996
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2002
def
subst
392
ref
refl
2003
def
1172
ref
442
ref
242
ref
1992
ref
445
ref
appTerm
2004
def
164
ref
appTerm
appTerm
283
ref
appTerm
absTerm
2005
def
445
ref
appTerm
2006
def
betaConv
nil
178
ref
2005
ref
appTerm
2007
def
axiom
nil
30
ref
2007
remove
nil
cons
cons
31
ref
2006
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2005
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2008
def
appThm
163
ref
242
ref
392
ref
283
ref
appTerm
appTerm
170
ref
appTerm
absTerm
2009
def
170
ref
appTerm
2010
def
betaConv
nil
178
ref
2009
ref
appTerm
2011
def
axiom
nil
30
ref
2011
remove
nil
cons
cons
31
ref
2010
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2009
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
trans
trans
2012
def
appThm
2013
def
nil
"f"
243
ref
var
2014
def
388
ref
nil
cons
2015
def
cons
nil
cons
2016
def
nil
cons
cons
273
ref
"f"
307
ref
var
2017
def
9
ref
10
ref
307
ref
10
ref
307
ref
2
ref
cons
opType
2018
def
nil
cons
cons
opType
constTerm
2019
def
1982
remove
10
ref
307
ref
10
ref
162
ref
308
ref
cons
opType
nil
cons
cons
opType
constTerm
2017
ref
varTerm
2020
def
appTerm
2021
def
164
ref
appTerm
appTerm
"Function.id"
const
307
ref
constTerm
2022
def
appTerm
absTerm
2023
def
2020
ref
appTerm
2024
def
betaConv
nil
27
ref
10
ref
2018
ref
2
ref
cons
opType
constTerm
2025
def
2023
ref
appTerm
2026
def
axiom
nil
30
ref
2026
remove
nil
cons
cons
31
ref
2024
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
308
ref
cons
nil
cons
2027
def
"P"
2018
remove
var
2028
def
2023
remove
nil
cons
cons
"x"
307
ref
var
2020
ref
nil
cons
cons
nil
cons
2029
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2030
def
subst
401
ref
appThm
nil
187
ref
nil
cons
cons
2031
def
273
ref
116
ref
266
ref
2022
remove
117
ref
appTerm
appTerm
117
ref
appTerm
absTerm
2032
def
117
ref
appTerm
2033
def
betaConv
nil
111
ref
2032
ref
appTerm
2034
def
axiom
nil
30
ref
2034
remove
nil
cons
cons
31
ref
2033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
2032
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
2035
def
trans
appThm
2031
remove
425
ref
subst
2036
def
trans
sym
68
ref
eqMp
nil
30
ref
242
ref
1956
ref
164
ref
appTerm
2037
def
appTerm
2038
def
1984
ref
164
ref
appTerm
170
ref
appTerm
appTerm
2039
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
1987
ref
appTerm
1970
ref
1984
ref
553
ref
appTerm
170
ref
appTerm
appTerm
2040
def
appTerm
2041
def
absTerm
2042
def
appTerm
2043
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
2042
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
2041
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1987
ref
nil
cons
2044
def
cons
31
ref
2040
remove
nil
cons
2045
def
cons
nil
cons
cons
nil
cons
cons
2046
def
49
ref
subst
2046
remove
121
ref
subst
387
ref
387
ref
1979
ref
2002
ref
subst
2003
ref
nil
578
ref
1171
ref
cons
nil
cons
cons
163
ref
242
ref
2004
ref
254
ref
appTerm
appTerm
1173
ref
2004
remove
170
ref
appTerm
2047
def
appTerm
appTerm
absTerm
2048
def
170
ref
appTerm
2049
def
betaConv
442
ref
178
ref
2048
ref
appTerm
2050
def
absTerm
2051
def
445
ref
appTerm
2052
def
betaConv
nil
178
ref
2051
ref
appTerm
2053
def
axiom
nil
30
ref
2053
remove
nil
cons
cons
31
ref
2052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2051
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2050
remove
nil
cons
cons
31
ref
2049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2048
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2054
def
appThm
trans
appThm
nil
163
ref
1980
ref
nil
cons
2055
def
cons
nil
cons
nil
cons
cons
2056
def
400
ref
subst
826
remove
2002
ref
appThm
827
remove
appThm
trans
appThm
sym
161
ref
nil
163
ref
1994
ref
nil
cons
2057
def
cons
2058
def
1171
ref
cons
2059
def
nil
cons
cons
163
ref
13
ref
242
ref
1301
ref
appTerm
2060
def
164
ref
appTerm
appTerm
19
ref
1403
ref
appTerm
2061
def
412
ref
appTerm
2062
def
appTerm
absTerm
2063
def
170
ref
appTerm
2064
def
betaConv
442
ref
178
ref
2063
ref
appTerm
2065
def
absTerm
2066
def
445
ref
appTerm
2067
def
betaConv
nil
178
ref
2066
ref
appTerm
2068
def
axiom
nil
30
ref
2068
remove
nil
cons
cons
31
ref
2067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2066
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2065
remove
nil
cons
cons
31
ref
2064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2063
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2069
def
subst
134
ref
437
ref
appThm
2070
def
580
ref
1172
ref
163
ref
13
ref
242
ref
2047
remove
appTerm
164
ref
appTerm
appTerm
38
ref
1403
ref
appTerm
2071
def
413
ref
appTerm
appTerm
absTerm
2072
def
170
ref
appTerm
2073
def
betaConv
442
ref
178
ref
2072
ref
appTerm
2074
def
absTerm
2075
def
445
ref
appTerm
2076
def
betaConv
nil
178
ref
2075
ref
appTerm
2077
def
axiom
nil
30
ref
2077
remove
nil
cons
cons
31
ref
2076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2075
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2074
remove
nil
cons
cons
31
ref
2073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2072
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2078
def
subst
596
ref
437
ref
appThm
413
ref
refl
appThm
nil
63
ref
660
ref
cons
nil
cons
nil
cons
cons
2079
def
1318
ref
subst
trans
trans
subst
2080
def
appThm
647
ref
1029
ref
subst
2081
def
trans
trans
appThm
236
ref
trans
sym
68
ref
eqMp
nil
30
ref
160
ref
242
ref
1157
ref
1994
ref
appTerm
2082
def
appTerm
164
ref
appTerm
appTerm
nil
cons
cons
31
ref
242
ref
391
ref
1995
ref
appTerm
393
ref
appTerm
2083
def
appTerm
392
remove
2082
ref
appTerm
2084
def
appTerm
nil
cons
2085
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
403
ref
cons
2086
def
2058
ref
765
ref
cons
cons
nil
cons
cons
163
ref
32
ref
160
ref
242
ref
1156
ref
691
ref
appTerm
170
ref
appTerm
2087
def
appTerm
164
ref
appTerm
appTerm
appTerm
242
ref
391
remove
450
ref
appTerm
691
ref
appTerm
appTerm
2088
def
449
ref
2087
remove
appTerm
appTerm
appTerm
2089
def
absTerm
2090
def
170
ref
appTerm
2091
def
betaConv
687
ref
178
ref
2090
ref
appTerm
2092
def
absTerm
2093
def
691
ref
appTerm
2094
def
betaConv
442
ref
178
ref
2093
ref
appTerm
2095
def
absTerm
2096
def
445
ref
appTerm
2097
def
betaConv
257
ref
442
ref
257
ref
163
ref
257
ref
687
ref
200
ref
161
ref
387
ref
nil
163
ref
709
ref
cons
765
ref
cons
nil
cons
cons
163
ref
2060
ref
1156
ref
170
ref
appTerm
2098
def
445
ref
appTerm
appTerm
absTerm
2099
def
170
ref
appTerm
2100
def
betaConv
442
ref
178
ref
2099
ref
appTerm
2101
def
absTerm
2102
def
445
ref
appTerm
2103
def
betaConv
nil
178
ref
2102
ref
appTerm
2104
def
axiom
nil
30
ref
2104
remove
nil
cons
cons
31
ref
2103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2102
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2101
remove
nil
cons
cons
31
ref
2100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2099
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2105
def
subst
2106
def
appThm
402
ref
appThm
appThm
appThm
2088
ref
refl
449
ref
refl
2106
remove
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
32
ref
160
ref
242
ref
2098
ref
691
ref
appTerm
2107
def
appTerm
164
ref
appTerm
appTerm
appTerm
2088
remove
449
remove
2107
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
2089
ref
absTerm
2108
def
appTerm
2109
def
absTerm
2110
def
appTerm
2111
def
absTerm
2112
def
appTerm
nil
cons
2113
def
cons
2114
def
31
ref
178
ref
2096
ref
appTerm
nil
cons
2115
def
cons
nil
cons
cons
nil
cons
cons
2116
def
101
ref
subst
proveHyp
2116
ref
49
ref
subst
2116
remove
121
ref
subst
nil
183
ref
2096
remove
nil
cons
cons
2117
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
2095
remove
nil
cons
2118
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
2093
remove
nil
cons
cons
2119
def
nil
cons
nil
cons
cons
562
ref
subst
687
ref
nil
63
ref
2092
remove
nil
cons
2120
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
2090
remove
nil
cons
cons
2121
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2089
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2108
ref
691
ref
appTerm
2122
def
betaConv
2110
ref
170
ref
appTerm
2123
def
betaConv
2112
ref
445
ref
appTerm
2124
def
betaConv
nil
2114
remove
31
ref
2124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2112
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2111
remove
nil
cons
cons
31
ref
2123
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2110
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2109
remove
nil
cons
cons
31
ref
2122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2108
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
2113
remove
cons
78
ref
2115
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
2115
remove
cons
31
ref
2097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2117
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2118
remove
cons
31
ref
2094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2119
remove
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2120
remove
cons
31
ref
2091
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2121
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
nil
30
ref
2085
remove
cons
31
ref
242
ref
2084
ref
appTerm
2083
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
184
ref
2083
remove
nil
cons
cons
479
ref
2084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
273
ref
801
ref
subst
2125
def
subst
eqMp
eqMp
2126
def
862
ref
1987
remove
assume
appThm
trans
appThm
nil
578
ref
2016
ref
cons
nil
cons
cons
2127
def
273
ref
163
ref
2019
ref
2021
ref
254
ref
appTerm
appTerm
2128
def
1883
remove
10
ref
307
ref
10
ref
307
remove
308
remove
cons
opType
nil
cons
cons
opType
constTerm
2129
def
2020
ref
appTerm
2021
ref
170
ref
appTerm
2130
def
appTerm
appTerm
absTerm
2131
def
170
ref
appTerm
2132
def
betaConv
2017
ref
178
ref
2131
ref
appTerm
2133
def
absTerm
2134
def
2020
ref
appTerm
2135
def
betaConv
nil
2025
ref
2134
ref
appTerm
2136
def
axiom
nil
30
ref
2136
remove
nil
cons
cons
31
ref
2135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2027
ref
2028
ref
2134
remove
nil
cons
cons
2029
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2133
remove
nil
cons
cons
31
ref
2132
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2131
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2137
def
subst
401
ref
appThm
nil
186
ref
1911
ref
1985
ref
nil
cons
2138
def
cons
2016
ref
cons
cons
nil
cons
cons
353
ref
181
ref
"C"
180
ref
cons
nil
cons
cons
cons
137
ref
cons
1938
remove
subst
2139
def
subst
trans
appThm
nil
184
ref
388
ref
1986
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2044
remove
cons
78
ref
2045
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
2039
remove
appTerm
2043
remove
appTerm
nil
cons
cons
31
ref
178
ref
1988
ref
appTerm
2140
def
nil
cons
2141
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
1988
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
1990
ref
appThm
1988
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
1990
remove
absThm
appThm
appThm
nil
597
ref
1988
remove
nil
cons
2142
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
2143
def
nil
30
ref
2141
ref
cons
31
ref
1989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2142
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2144
def
subst
2127
remove
273
ref
163
ref
2128
remove
2129
ref
2130
ref
appTerm
2020
ref
appTerm
appTerm
absTerm
2145
def
170
ref
appTerm
2146
def
betaConv
2017
ref
178
ref
2145
ref
appTerm
2147
def
absTerm
2148
def
2020
ref
appTerm
2149
def
betaConv
nil
2025
ref
2148
ref
appTerm
2150
def
axiom
nil
30
ref
2150
remove
nil
cons
cons
31
ref
2149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2027
ref
2028
ref
2148
remove
nil
cons
cons
2029
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2147
remove
nil
cons
cons
31
ref
2146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2145
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2151
def
subst
401
ref
appThm
nil
186
ref
1911
ref
2015
remove
cons
2014
ref
2138
remove
cons
nil
cons
cons
cons
nil
cons
cons
2139
ref
subst
trans
trans
appThm
521
ref
2144
ref
subst
appThm
nil
184
ref
1985
remove
389
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
2152
def
nil
30
ref
178
ref
1976
ref
appTerm
2153
def
nil
cons
cons
31
ref
1977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1976
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1975
remove
nil
cons
cons
31
ref
1974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1973
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2154
def
subst
appThm
trans
appThm
521
ref
1967
ref
subst
appThm
nil
153
ref
169
ref
1971
remove
1941
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
2155
def
nil
30
ref
178
ref
1949
ref
appTerm
2156
def
nil
cons
cons
31
ref
1950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1949
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1948
remove
nil
cons
cons
31
ref
1947
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1946
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2157
def
subst
trans
appThm
nil
153
ref
1910
remove
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
2158
def
nil
30
ref
178
ref
1885
ref
appTerm
2159
def
nil
cons
cons
31
ref
1886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1885
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
1797
ref
refl
appThm
appThm
appThm
859
ref
nil
1939
ref
165
ref
cons
nil
cons
nil
cons
cons
2160
def
1967
ref
subst
239
ref
2012
ref
appThm
trans
2161
def
appThm
1818
remove
1863
ref
163
ref
1821
ref
1865
ref
appTerm
1788
ref
10
ref
243
remove
1864
remove
cons
opType
constTerm
245
ref
appTerm
1822
remove
170
ref
appTerm
2162
def
appTerm
2163
def
appTerm
2164
def
absTerm
2165
def
170
ref
appTerm
2166
def
betaConv
442
ref
178
ref
2165
ref
appTerm
2167
def
absTerm
2168
def
445
ref
appTerm
2169
def
betaConv
257
ref
442
ref
257
ref
163
ref
2164
remove
assume
sym
1821
remove
2163
remove
appTerm
1865
remove
appTerm
2170
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
2170
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
2168
ref
appTerm
nil
cons
cons
31
ref
2169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2168
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2167
remove
nil
cons
cons
31
ref
2166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2165
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
nil
"l"
1789
ref
var
2171
def
1797
ref
nil
cons
cons
2172
def
1912
remove
cons
nil
cons
cons
181
remove
353
remove
1914
ref
cons
cons
137
ref
cons
1060
ref
9
ref
10
ref
0
remove
1917
ref
opType
2173
def
10
ref
2173
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
2174
def
1788
ref
10
ref
1918
remove
10
ref
1834
ref
2173
ref
nil
cons
2175
def
cons
opType
nil
cons
2176
def
cons
opType
constTerm
1921
ref
appTerm
1838
remove
1889
ref
appTerm
1065
ref
appTerm
appTerm
2177
def
appTerm
1788
remove
10
ref
1919
remove
10
ref
140
ref
2175
ref
cons
opType
nil
cons
cons
opType
constTerm
1922
remove
appTerm
1065
ref
appTerm
2178
def
appTerm
2179
def
absTerm
2180
def
1065
ref
appTerm
2181
def
betaConv
1887
ref
906
ref
2180
ref
appTerm
2182
def
absTerm
2183
def
1889
remove
appTerm
2184
def
betaConv
1920
ref
1845
ref
2183
ref
appTerm
2185
def
absTerm
2186
def
1921
remove
appTerm
2187
def
betaConv
1932
ref
refl
1920
ref
1898
remove
1887
ref
906
ref
refl
1060
ref
2179
remove
assume
sym
2174
ref
2178
remove
appTerm
2177
remove
appTerm
2188
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
1932
ref
1920
remove
1845
ref
1887
remove
906
ref
1060
ref
2188
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
1932
remove
2186
ref
appTerm
nil
cons
cons
31
ref
2187
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1935
remove
1936
remove
2186
remove
nil
cons
cons
1937
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2185
remove
nil
cons
cons
31
ref
2184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
2183
remove
nil
cons
cons
1907
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2182
remove
nil
cons
cons
31
ref
2181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2180
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
appThm
nil
105
ref
517
ref
1790
ref
1884
remove
appTerm
1797
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
1858
remove
cons
78
ref
1860
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
1851
remove
appTerm
1857
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
1853
remove
absTerm
2189
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2189
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
2189
ref
525
ref
appTerm
betaConv
2190
def
appThm
2189
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
2190
remove
absThm
appThm
appThm
nil
597
ref
2189
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
2191
def
nil
30
ref
178
ref
1803
ref
appTerm
2192
def
nil
cons
cons
31
ref
1804
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1803
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
1802
remove
nil
cons
cons
31
ref
1800
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
1799
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2193
def
appThm
nil
2172
remove
1827
remove
cons
nil
cons
cons
1830
remove
1060
ref
242
ref
941
ref
10
ref
1834
ref
180
ref
cons
opType
constTerm
2194
def
1840
remove
1065
ref
appTerm
2195
def
appTerm
appTerm
950
ref
1065
ref
appTerm
2196
def
appTerm
absTerm
2197
def
1065
ref
appTerm
2198
def
betaConv
1833
ref
906
ref
2197
ref
appTerm
2199
def
absTerm
2200
def
1839
ref
appTerm
2201
def
betaConv
nil
1845
ref
2200
ref
appTerm
2202
def
axiom
nil
30
ref
2202
remove
nil
cons
cons
31
ref
2201
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
ref
1848
ref
2200
remove
nil
cons
cons
1850
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2199
remove
nil
cons
cons
31
ref
2198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2197
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2203
def
subst
1863
remove
163
ref
242
ref
941
remove
10
ref
1789
ref
180
ref
cons
opType
constTerm
2204
def
2162
ref
appTerm
appTerm
170
ref
appTerm
absTerm
2205
def
170
ref
appTerm
2206
def
betaConv
442
ref
178
ref
2205
ref
appTerm
2207
def
absTerm
2208
def
445
ref
appTerm
2209
def
betaConv
nil
178
ref
2208
ref
appTerm
2210
def
axiom
nil
30
ref
2210
remove
nil
cons
cons
31
ref
2209
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2208
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2207
remove
nil
cons
cons
31
ref
2206
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2205
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2211
def
subst
trans
trans
2212
def
subst
trans
2213
def
subst
2214
def
944
remove
assume
2215
def
trans
2216
def
appThm
943
ref
refl
appThm
nil
184
ref
943
ref
nil
cons
2217
def
cons
nil
cons
2218
def
nil
cons
cons
425
ref
subst
trans
appThm
257
ref
1939
ref
200
ref
407
ref
1941
ref
appTerm
2219
def
refl
2220
def
2216
remove
appThm
appThm
13
ref
"Data.List.nth"
const
2221
def
10
ref
3
ref
240
remove
cons
opType
constTerm
2222
def
935
ref
appTerm
1941
ref
appTerm
appTerm
2222
ref
16
ref
appTerm
1941
ref
appTerm
2223
def
appTerm
2224
def
refl
appThm
absThm
appThm
appThm
nil
63
ref
178
ref
1939
ref
32
ref
2219
ref
943
ref
appTerm
2225
def
appTerm
2226
def
2224
ref
appTerm
2227
def
absTerm
2228
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
183
ref
2228
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
2227
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2225
ref
nil
cons
2229
def
cons
31
ref
2224
ref
nil
cons
2230
def
cons
nil
cons
cons
nil
cons
cons
2231
def
49
ref
subst
2231
remove
121
ref
subst
80
ref
2222
ref
refl
1787
ref
509
ref
subst
nil
522
ref
939
ref
nil
cons
2232
def
cons
1786
ref
cons
nil
cons
cons
2193
remove
subst
trans
1790
ref
1791
ref
332
ref
appTerm
2233
def
appTerm
2234
def
refl
1796
ref
refl
2215
remove
appThm
appThm
trans
appThm
1941
ref
refl
2235
def
appThm
appThm
2223
ref
refl
2236
def
appThm
sym
1939
ref
32
ref
2219
ref
2204
ref
1796
ref
943
ref
appTerm
2237
def
appTerm
appTerm
appTerm
13
ref
2222
ref
2234
ref
2237
ref
appTerm
appTerm
1941
ref
appTerm
2238
def
appTerm
2239
def
2233
ref
2221
ref
10
ref
1789
ref
291
remove
cons
opType
constTerm
2240
def
2237
ref
appTerm
1941
ref
appTerm
2241
def
appTerm
2242
def
appTerm
2243
def
appTerm
2244
def
absTerm
2245
def
1941
ref
appTerm
2246
def
betaConv
2171
ref
178
ref
1939
ref
32
ref
2219
ref
2204
ref
2171
ref
varTerm
2247
def
appTerm
appTerm
appTerm
2248
def
13
ref
2222
ref
2234
remove
2247
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
2233
ref
2240
ref
2247
ref
appTerm
1941
ref
appTerm
2249
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2250
def
2237
ref
appTerm
2251
def
betaConv
1826
ref
27
ref
10
ref
1820
ref
2
ref
cons
opType
constTerm
2252
def
2171
ref
178
ref
1939
ref
2248
ref
13
ref
2222
ref
1790
ref
1826
ref
varTerm
2253
def
appTerm
2247
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
2253
remove
2249
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2254
def
2233
ref
appTerm
2255
def
betaConv
1828
ref
182
ref
cons
137
ref
cons
nil
1845
ref
1833
remove
906
ref
1060
ref
178
ref
1939
ref
32
ref
2219
ref
2196
remove
appTerm
appTerm
360
ref
2221
ref
10
ref
1834
ref
10
ref
162
ref
361
ref
cons
opType
nil
cons
cons
opType
constTerm
2195
remove
appTerm
1941
ref
appTerm
appTerm
1839
remove
2221
remove
10
ref
140
ref
10
ref
162
ref
139
ref
cons
opType
nil
cons
cons
opType
constTerm
2256
def
1065
ref
appTerm
1941
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
2257
def
nil
30
ref
606
ref
2254
ref
appTerm
nil
cons
cons
2258
def
31
ref
2255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
608
ref
609
ref
2254
ref
nil
cons
cons
2259
def
610
ref
2233
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2252
ref
2250
ref
appTerm
nil
cons
cons
31
ref
2251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
1794
remove
cons
nil
cons
2260
def
"P"
1820
remove
var
2261
def
2250
remove
nil
cons
cons
"x"
1789
remove
var
2262
def
2237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
2245
ref
appTerm
nil
cons
cons
31
ref
2246
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2245
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2244
remove
nil
cons
cons
31
ref
2239
remove
2223
ref
appTerm
2263
def
nil
cons
2264
def
cons
nil
cons
2265
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
2220
ref
nil
163
ref
2217
ref
cons
2266
def
444
ref
cons
nil
cons
cons
2211
ref
subst
appThm
nil
63
ref
2229
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
2225
ref
assume
eqMp
2267
def
trans
appThm
2243
ref
refl
appThm
nil
63
ref
2243
ref
nil
cons
2268
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
2263
remove
refl
appThm
sym
nil
30
ref
2268
ref
cons
2265
remove
cons
nil
cons
cons
2269
def
49
ref
subst
2269
remove
121
ref
subst
13
ref
"_29078"
1
ref
var
2270
def
13
ref
2270
remove
varTerm
appTerm
2223
ref
appTerm
absTerm
2271
def
2238
remove
appTerm
2272
def
appTerm
refl
2271
ref
2242
ref
appTerm
betaConv
appThm
80
ref
2272
remove
betaConv
appThm
13
ref
2242
remove
appTerm
2223
ref
appTerm
2273
def
refl
2274
def
appThm
trans
2271
remove
refl
2243
remove
assume
appThm
eqMp
sym
1939
ref
2226
remove
242
ref
2241
ref
appTerm
2275
def
467
ref
164
ref
appTerm
2276
def
1941
ref
appTerm
2277
def
appTerm
appTerm
2278
def
absTerm
2279
def
1941
ref
appTerm
2280
def
betaConv
163
ref
178
ref
1939
ref
32
ref
2219
ref
170
ref
appTerm
appTerm
2281
def
242
ref
2240
ref
1796
ref
170
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
2277
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2282
def
943
ref
appTerm
2283
def
betaConv
442
ref
178
ref
163
ref
178
ref
1939
ref
2281
ref
242
ref
2240
ref
2162
remove
appTerm
1941
ref
appTerm
appTerm
633
ref
1941
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2284
def
164
ref
appTerm
2285
def
betaConv
nil
178
ref
2284
ref
appTerm
2286
def
axiom
nil
30
ref
2286
remove
nil
cons
cons
31
ref
2285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2284
remove
nil
cons
cons
480
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2287
def
nil
30
ref
178
ref
2282
ref
appTerm
nil
cons
cons
2288
def
31
ref
2283
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2282
ref
nil
cons
cons
2289
def
2218
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
2279
ref
appTerm
nil
cons
cons
31
ref
2280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2279
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2278
remove
nil
cons
cons
31
ref
2273
remove
nil
cons
2290
def
cons
nil
cons
2291
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
2267
ref
appThm
2275
ref
refl
nil
163
ref
1965
ref
cons
2292
def
nil
cons
2293
def
nil
cons
cons
2294
def
163
ref
242
ref
2276
ref
170
ref
appTerm
2295
def
appTerm
170
ref
appTerm
absTerm
2296
def
170
ref
appTerm
2297
def
betaConv
nil
178
ref
2296
ref
appTerm
2298
def
axiom
nil
30
ref
2298
remove
nil
cons
cons
31
ref
2297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2296
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2299
def
subst
2300
def
appThm
appThm
nil
63
ref
2275
remove
1941
ref
appTerm
2301
def
nil
cons
2302
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
2274
remove
appThm
sym
nil
30
ref
2302
ref
cons
2291
remove
cons
nil
cons
cons
2303
def
49
ref
subst
2303
remove
121
ref
subst
13
ref
"_29080"
162
ref
var
2304
def
13
ref
2233
ref
2304
remove
varTerm
appTerm
appTerm
2223
ref
appTerm
absTerm
2305
def
2241
remove
appTerm
2306
def
appTerm
refl
2305
ref
1941
ref
appTerm
betaConv
appThm
80
ref
2306
remove
betaConv
appThm
13
ref
2233
remove
1941
ref
appTerm
appTerm
2307
def
2223
ref
appTerm
refl
appThm
trans
2305
remove
refl
2301
remove
assume
appThm
eqMp
sym
1939
ref
2307
remove
38
ref
2225
remove
appTerm
2223
ref
appTerm
appTerm
absTerm
2308
def
1941
ref
appTerm
2309
def
betaConv
4
ref
178
ref
2308
ref
appTerm
2310
def
absTerm
2311
def
16
ref
appTerm
2312
def
betaConv
2313
def
257
ref
1939
ref
80
ref
1791
ref
refl
2314
def
384
ref
appThm
2235
ref
appThm
1939
ref
160
ref
1791
ref
164
ref
appTerm
2315
def
1941
ref
appTerm
2316
def
appTerm
2317
def
absTerm
2318
def
1941
ref
appTerm
2319
def
betaConv
2320
def
161
ref
167
ref
2161
ref
subst
234
ref
trans
appThm
236
ref
trans
sym
68
ref
eqMp
nil
30
ref
160
ref
2315
ref
164
ref
appTerm
appTerm
2321
def
nil
cons
cons
31
ref
178
ref
1939
ref
32
ref
2317
ref
appTerm
160
ref
2315
remove
1942
ref
appTerm
appTerm
2322
def
appTerm
2323
def
absTerm
2324
def
appTerm
2325
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
2324
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
2323
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2317
remove
nil
cons
2326
def
cons
2327
def
31
ref
2322
remove
nil
cons
2328
def
cons
nil
cons
cons
nil
cons
cons
2329
def
49
ref
subst
2329
remove
121
ref
subst
161
ref
167
ref
2157
ref
subst
2314
ref
461
ref
appThm
2235
ref
appThm
nil
2327
remove
31
ref
13
ref
2316
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
2330
def
nil
76
ref
2316
ref
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
2331
def
eqMp
trans
trans
appThm
236
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2326
remove
cons
78
ref
2328
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
2321
remove
appTerm
2325
remove
appTerm
nil
cons
cons
31
ref
178
ref
2318
ref
appTerm
2332
def
nil
cons
2333
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2318
ref
164
ref
appTerm
betaConv
appThm
257
ref
1939
ref
200
ref
2320
ref
appThm
2318
ref
1942
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
1939
ref
2320
remove
absThm
appThm
appThm
nil
597
ref
2318
remove
nil
cons
2334
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
2335
def
nil
30
ref
2333
ref
cons
31
ref
2319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2334
remove
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2330
remove
proveHyp
2331
remove
eqMp
2336
def
trans
appThm
596
ref
2220
ref
951
ref
appThm
nil
442
ref
1965
ref
cons
2337
def
nil
cons
2338
def
nil
cons
cons
442
ref
160
ref
446
ref
164
ref
appTerm
2339
def
appTerm
2340
def
absTerm
2341
def
445
ref
appTerm
2342
def
betaConv
nil
178
ref
2341
ref
appTerm
2343
def
axiom
nil
30
ref
2343
remove
nil
cons
cons
31
ref
2342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2341
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2340
remove
nil
cons
cons
31
ref
13
ref
2339
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
2339
remove
nil
cons
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
2344
def
subst
2345
def
trans
appThm
2222
ref
6
ref
appTerm
1941
ref
appTerm
2346
def
refl
appThm
nil
63
ref
2346
ref
nil
cons
cons
nil
cons
nil
cons
cons
1318
ref
subst
trans
appThm
653
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1939
ref
13
ref
1791
ref
385
ref
appTerm
1941
ref
appTerm
appTerm
38
ref
2219
ref
959
ref
appTerm
appTerm
2346
remove
appTerm
appTerm
absTerm
appTerm
2347
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
178
ref
1939
ref
13
ref
1791
ref
964
ref
appTerm
1941
ref
appTerm
appTerm
38
ref
2219
ref
966
ref
appTerm
2348
def
appTerm
2349
def
2222
ref
962
ref
appTerm
1941
ref
appTerm
2350
def
appTerm
2351
def
appTerm
absTerm
2352
def
appTerm
2353
def
appTerm
178
ref
1939
ref
13
ref
1791
ref
973
ref
appTerm
2354
def
1941
ref
appTerm
appTerm
38
ref
2219
ref
975
ref
appTerm
appTerm
2222
ref
971
ref
appTerm
2355
def
1941
ref
appTerm
appTerm
appTerm
2356
def
absTerm
2357
def
appTerm
2358
def
appTerm
2359
def
absTerm
2360
def
appTerm
2361
def
absTerm
2362
def
appTerm
2363
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
2362
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
2361
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
2360
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
2359
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2353
remove
nil
cons
2364
def
cons
2365
def
31
ref
2358
remove
nil
cons
2366
def
cons
nil
cons
2367
def
cons
nil
cons
cons
2368
def
49
ref
subst
2368
remove
121
ref
subst
80
ref
990
ref
2161
ref
subst
239
ref
1133
ref
appThm
1137
ref
1329
ref
subst
2369
def
trans
2370
def
trans
appThm
596
ref
408
ref
refl
1632
ref
appThm
1725
remove
nil
63
ref
408
ref
254
ref
appTerm
2371
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
2371
remove
absTerm
2372
def
170
ref
appTerm
2373
def
betaConv
nil
178
ref
2372
ref
appTerm
2374
def
axiom
nil
30
ref
2374
remove
nil
cons
cons
31
ref
2373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2372
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
subst
trans
appThm
138
ref
890
ref
266
ref
2256
ref
900
ref
appTerm
2375
def
164
ref
appTerm
appTerm
897
ref
appTerm
absTerm
2376
def
899
ref
appTerm
2377
def
betaConv
896
ref
906
ref
2376
ref
appTerm
2378
def
absTerm
2379
def
897
ref
appTerm
2380
def
betaConv
nil
111
ref
2379
ref
appTerm
2381
def
axiom
nil
30
ref
2381
remove
nil
cons
cons
31
ref
2380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
2379
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2378
remove
nil
cons
cons
31
ref
2377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2376
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
1024
ref
749
ref
subst
trans
appThm
1037
ref
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
2354
ref
164
ref
appTerm
appTerm
38
ref
408
remove
975
ref
appTerm
appTerm
2355
ref
164
ref
appTerm
appTerm
appTerm
2382
def
nil
cons
cons
31
ref
178
ref
1939
ref
32
ref
2356
ref
appTerm
13
ref
2354
remove
1942
ref
appTerm
appTerm
38
ref
407
ref
1942
ref
appTerm
2383
def
975
ref
appTerm
appTerm
2355
remove
1942
ref
appTerm
2384
def
appTerm
appTerm
2385
def
appTerm
2386
def
absTerm
2387
def
appTerm
2388
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
2387
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
2386
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2356
remove
nil
cons
2389
def
cons
31
ref
2385
remove
nil
cons
2390
def
cons
nil
cons
cons
nil
cons
cons
2391
def
49
ref
subst
2391
remove
121
ref
subst
80
ref
990
ref
2157
ref
subst
2314
ref
1639
ref
appThm
2235
ref
appThm
2352
ref
1941
ref
appTerm
2392
def
betaConv
nil
2365
remove
31
ref
2392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2352
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
trans
trans
appThm
596
ref
2383
remove
refl
1632
ref
appThm
nil
1724
ref
2338
ref
cons
nil
cons
cons
163
ref
13
ref
407
ref
635
ref
appTerm
254
ref
appTerm
appTerm
447
ref
appTerm
absTerm
2393
def
170
ref
appTerm
2394
def
betaConv
442
ref
178
ref
2393
ref
appTerm
2395
def
absTerm
2396
def
445
ref
appTerm
2397
def
betaConv
nil
178
ref
2396
ref
appTerm
2398
def
axiom
nil
30
ref
2398
remove
nil
cons
cons
31
ref
2397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2396
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2395
remove
nil
cons
cons
31
ref
2394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2393
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
2384
ref
refl
2399
def
appThm
appThm
sym
nil
30
ref
160
ref
2348
ref
appTerm
nil
cons
2400
def
cons
2401
def
31
ref
13
ref
2351
remove
appTerm
2349
remove
2384
ref
appTerm
appTerm
nil
cons
2402
def
cons
nil
cons
2403
def
cons
nil
cons
cons
2404
def
49
ref
subst
2404
remove
121
ref
subst
80
ref
596
ref
nil
2401
remove
31
ref
13
ref
2348
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
2348
ref
nil
cons
2405
def
cons
2406
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
2407
def
2350
ref
refl
2408
def
appThm
nil
63
ref
2350
ref
nil
cons
2409
def
cons
nil
cons
nil
cons
cons
2410
def
1318
ref
subst
trans
appThm
2407
remove
2399
ref
appThm
nil
63
ref
2384
ref
nil
cons
2411
def
cons
nil
cons
nil
cons
cons
2412
def
1318
ref
subst
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2400
ref
cons
78
ref
2402
ref
cons
nil
cons
2413
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
2405
ref
cons
2414
def
2403
remove
cons
nil
cons
cons
2415
def
49
ref
subst
2415
remove
121
ref
subst
80
ref
596
ref
nil
63
ref
2405
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
2348
ref
assume
eqMp
appThm
2416
def
2408
remove
appThm
2410
remove
749
ref
subst
trans
appThm
2416
remove
2399
remove
appThm
2412
remove
749
ref
subst
trans
appThm
sym
nil
2414
remove
31
ref
13
ref
2384
ref
appTerm
2350
ref
appTerm
nil
cons
2417
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
2294
remove
138
ref
163
ref
32
ref
717
ref
1625
ref
appTerm
appTerm
266
ref
2375
remove
254
ref
appTerm
appTerm
2256
ref
899
ref
appTerm
170
ref
appTerm
appTerm
appTerm
absTerm
2418
def
170
ref
appTerm
2419
def
betaConv
890
ref
178
ref
2418
ref
appTerm
2420
def
absTerm
2421
def
899
ref
appTerm
2422
def
betaConv
896
ref
906
ref
2421
ref
appTerm
2423
def
absTerm
2424
def
897
ref
appTerm
2425
def
betaConv
nil
111
ref
2424
ref
appTerm
2426
def
axiom
nil
30
ref
2426
remove
nil
cons
cons
31
ref
2425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
2424
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2423
remove
nil
cons
cons
31
ref
2422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2421
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2420
remove
nil
cons
cons
31
ref
2419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2418
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
30
ref
2417
remove
cons
31
ref
13
ref
2350
remove
appTerm
2384
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
153
ref
2411
remove
cons
774
ref
2409
remove
cons
nil
cons
cons
nil
cons
cons
802
remove
subst
eqMp
eqMp
eqMp
nil
2406
ref
2413
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
2348
remove
appTerm
2427
def
betaConv
833
ref
nil
834
ref
31
ref
2427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
2405
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
2406
remove
78
ref
2400
remove
cons
839
ref
2402
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
2389
remove
cons
78
ref
2390
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
2382
remove
appTerm
2388
remove
appTerm
nil
cons
cons
2367
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2357
ref
164
ref
appTerm
betaConv
appThm
257
ref
1939
ref
200
ref
2357
ref
1941
ref
appTerm
betaConv
2428
def
appThm
2357
ref
1942
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
1939
ref
2428
remove
absThm
appThm
appThm
nil
597
ref
2357
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
2364
remove
cons
78
ref
2366
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
2347
remove
appTerm
2363
remove
appTerm
nil
cons
cons
31
ref
28
ref
2311
ref
appTerm
2429
def
nil
cons
2430
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2311
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
2311
ref
962
ref
appTerm
betaConv
appThm
2311
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
2313
remove
absThm
appThm
appThm
nil
1084
ref
2311
remove
nil
cons
2431
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
2432
def
nil
30
ref
2430
remove
cons
31
ref
2312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
2431
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2310
remove
nil
cons
cons
31
ref
2309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2308
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2433
def
596
ref
2267
remove
appThm
2236
remove
appThm
nil
63
ref
2223
remove
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
trans
eqMp
eqMp
nil
76
ref
2302
remove
cons
78
ref
2290
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
2268
remove
cons
78
ref
2264
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
2229
remove
cons
78
ref
2230
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
242
ref
942
ref
935
ref
appTerm
2434
def
appTerm
943
ref
appTerm
appTerm
178
ref
1939
ref
32
ref
2219
ref
2434
remove
appTerm
appTerm
2224
remove
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
938
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"l2"
3
ref
var
2435
def
106
ref
cons
"l1"
3
ref
var
2436
def
935
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
"l2"
140
ref
var
2437
def
32
ref
38
ref
242
ref
950
ref
"l1"
140
ref
var
2438
def
varTerm
2439
def
appTerm
2440
def
appTerm
950
ref
2437
ref
varTerm
2441
def
appTerm
2442
def
appTerm
appTerm
178
ref
1939
ref
32
ref
2219
ref
2440
ref
appTerm
appTerm
266
ref
2256
ref
2439
ref
appTerm
1941
ref
appTerm
appTerm
2256
ref
2441
ref
appTerm
1941
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
892
ref
2439
ref
appTerm
2441
ref
appTerm
appTerm
absTerm
2443
def
2441
ref
appTerm
2444
def
betaConv
2438
ref
906
ref
2443
ref
appTerm
2445
def
absTerm
2446
def
2439
ref
appTerm
2447
def
betaConv
nil
906
ref
2446
ref
appTerm
2448
def
axiom
nil
30
ref
2448
remove
nil
cons
cons
31
ref
2447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2446
remove
nil
cons
cons
914
ref
2439
ref
nil
cons
cons
nil
cons
2449
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2445
remove
nil
cons
cons
31
ref
2444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
2443
remove
nil
cons
cons
914
ref
2441
ref
nil
cons
cons
nil
cons
2450
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
nil
76
ref
1783
remove
cons
78
ref
937
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
32
ref
17
ref
appTerm
936
ref
appTerm
nil
cons
cons
31
ref
32
ref
936
ref
appTerm
17
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
937
ref
cons
31
ref
934
ref
cons
nil
cons
cons
nil
cons
cons
2451
def
49
ref
subst
2451
remove
121
ref
subst
1782
remove
sym
2452
def
940
remove
refl
2453
def
1771
remove
936
ref
assume
sym
appThm
appThm
sym
2453
remove
2214
remove
appThm
nil
184
ref
2232
ref
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
nil
76
ref
937
remove
cons
78
ref
934
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2454
def
subst
498
ref
500
ref
refl
2455
def
1769
ref
509
remove
appThm
524
ref
522
ref
242
ref
331
ref
526
ref
appTerm
appTerm
"Number.Natural.Bits.bound"
const
292
ref
constTerm
2456
def
170
ref
appTerm
2457
def
525
ref
appTerm
2458
def
appTerm
2459
def
absTerm
2460
def
525
ref
appTerm
2461
def
betaConv
2462
def
163
ref
178
ref
2460
ref
appTerm
2463
def
absTerm
2464
def
170
ref
appTerm
2465
def
betaConv
80
ref
257
ref
163
ref
257
ref
522
ref
163
ref
2460
ref
absTerm
2466
def
170
ref
appTerm
betaConv
1806
ref
appThm
2462
remove
trans
2467
def
absThm
appThm
absThm
appThm
appThm
257
ref
522
ref
257
ref
163
ref
2467
remove
absThm
appThm
absThm
appThm
appThm
nil
1808
ref
2466
remove
nil
cons
cons
nil
cons
nil
cons
cons
1817
ref
subst
eqMp
sym
257
ref
163
ref
387
ref
1769
ref
542
ref
appThm
384
ref
trans
appThm
522
ref
242
ref
467
ref
2458
ref
appTerm
2468
def
"Number.Natural.Bits.shiftLeft"
const
292
ref
constTerm
2469
def
1980
ref
appTerm
2470
def
525
ref
appTerm
2471
def
appTerm
2472
def
appTerm
170
ref
appTerm
2473
def
absTerm
2474
def
164
ref
appTerm
2475
def
betaConv
nil
183
ref
2474
ref
nil
cons
cons
2476
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
2473
ref
nil
cons
2477
def
cons
nil
cons
nil
cons
cons
69
ref
subst
387
ref
nil
163
ref
2471
ref
nil
cons
2478
def
cons
442
ref
2458
ref
nil
cons
2479
def
cons
nil
cons
2480
def
cons
2481
def
nil
cons
cons
2482
def
163
ref
1474
ref
693
ref
445
ref
appTerm
2483
def
appTerm
absTerm
2484
def
170
ref
appTerm
2485
def
betaConv
442
ref
178
ref
2484
ref
appTerm
2486
def
absTerm
2487
def
445
ref
appTerm
2488
def
betaConv
nil
178
ref
2487
ref
appTerm
2489
def
axiom
nil
30
ref
2489
remove
nil
cons
cons
31
ref
2488
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2487
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2486
remove
nil
cons
cons
31
ref
2485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2484
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2490
def
subst
appThm
401
ref
appThm
sym
387
ref
673
ref
2056
ref
522
ref
242
ref
2469
ref
170
ref
appTerm
2491
def
525
ref
appTerm
2492
def
appTerm
2493
def
1156
ref
1994
ref
appTerm
2494
def
170
ref
appTerm
appTerm
absTerm
2495
def
525
ref
appTerm
2496
def
betaConv
163
ref
178
ref
2495
ref
appTerm
2497
def
absTerm
2498
def
170
ref
appTerm
2499
def
betaConv
nil
178
ref
2498
ref
appTerm
2500
def
axiom
nil
30
ref
2500
remove
nil
cons
cons
31
ref
2499
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2498
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2497
remove
nil
cons
cons
31
ref
2496
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2495
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2501
def
subst
2494
ref
refl
2002
ref
appThm
trans
appThm
522
ref
242
ref
2458
ref
appTerm
2502
def
1354
ref
170
ref
appTerm
2503
def
1994
ref
appTerm
2504
def
appTerm
absTerm
2505
def
525
ref
appTerm
2506
def
betaConv
163
ref
178
ref
2505
ref
appTerm
2507
def
absTerm
2508
def
170
ref
appTerm
2509
def
betaConv
nil
178
ref
2508
ref
appTerm
2510
def
axiom
nil
30
ref
2510
remove
nil
cons
cons
31
ref
2509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2508
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2507
remove
nil
cons
cons
31
ref
2506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2505
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
appThm
401
ref
appThm
sym
161
ref
2080
ref
appThm
236
ref
trans
sym
68
ref
eqMp
2511
def
nil
30
ref
160
ref
242
ref
1994
ref
appTerm
164
ref
appTerm
appTerm
nil
cons
cons
2512
def
31
ref
242
ref
467
ref
2494
ref
1995
remove
appTerm
appTerm
2504
remove
appTerm
appTerm
170
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
764
remove
2058
ref
nil
cons
2513
def
cons
nil
cons
cons
2514
def
442
ref
767
ref
242
ref
467
ref
2098
ref
450
ref
appTerm
appTerm
1453
ref
appTerm
appTerm
445
ref
appTerm
appTerm
2515
def
absTerm
2516
def
445
ref
appTerm
2517
def
betaConv
163
ref
178
ref
2516
ref
appTerm
2518
def
absTerm
2519
def
170
ref
appTerm
2520
def
betaConv
257
ref
442
ref
257
ref
163
ref
767
ref
refl
2521
def
387
ref
673
ref
nil
442
ref
450
ref
nil
cons
cons
nil
cons
nil
cons
cons
2105
ref
subst
appThm
1453
ref
refl
appThm
appThm
445
ref
refl
2522
def
appThm
appThm
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
767
ref
242
ref
467
ref
1156
ref
450
remove
appTerm
170
ref
appTerm
appTerm
1453
remove
appTerm
appTerm
445
ref
appTerm
appTerm
2523
def
absTerm
2524
def
appTerm
2525
def
absTerm
2526
def
appTerm
2527
def
axiom
2528
def
eqMp
nil
30
ref
178
ref
442
ref
178
ref
163
ref
2515
ref
absTerm
2529
def
appTerm
2530
def
absTerm
2531
def
appTerm
nil
cons
2532
def
cons
2533
def
31
ref
178
ref
2519
ref
appTerm
nil
cons
2534
def
cons
nil
cons
cons
nil
cons
cons
2535
def
101
ref
subst
proveHyp
2535
ref
49
ref
subst
2535
remove
121
ref
subst
nil
183
ref
2519
remove
nil
cons
cons
2536
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2518
remove
nil
cons
2537
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
2516
remove
nil
cons
cons
2538
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
2515
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2529
ref
170
ref
appTerm
2539
def
betaConv
2531
ref
445
ref
appTerm
2540
def
betaConv
nil
2533
remove
31
ref
2540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2531
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2530
remove
nil
cons
cons
31
ref
2539
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2529
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
2532
remove
cons
78
ref
2534
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
2534
remove
cons
31
ref
2520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2536
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2537
remove
cons
31
ref
2517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2538
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
2541
def
eqMp
absThm
eqMp
2542
def
nil
30
ref
178
ref
2474
remove
appTerm
2543
def
nil
cons
2544
def
cons
31
ref
2475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2476
remove
480
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
242
ref
467
ref
2457
ref
164
ref
appTerm
2545
def
appTerm
2546
def
2469
ref
2037
ref
appTerm
164
ref
appTerm
appTerm
appTerm
170
ref
appTerm
nil
cons
cons
31
ref
242
ref
2545
ref
appTerm
164
ref
appTerm
2547
def
nil
cons
2548
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
387
ref
2546
remove
refl
nil
163
ref
2037
ref
nil
cons
cons
nil
cons
nil
cons
cons
1991
ref
2501
ref
subst
1156
ref
refl
2549
def
2008
ref
appThm
401
ref
appThm
nil
765
ref
nil
cons
cons
2550
def
442
ref
242
ref
1156
ref
283
ref
appTerm
445
ref
appTerm
appTerm
445
ref
appTerm
absTerm
2551
def
445
ref
appTerm
2552
def
betaConv
nil
178
ref
2551
ref
appTerm
2553
def
axiom
nil
30
ref
2553
remove
nil
cons
cons
31
ref
2552
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2551
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
trans
2554
def
subst
2012
ref
trans
appThm
appThm
401
ref
appThm
nil
442
ref
2545
ref
nil
cons
2555
def
cons
nil
cons
nil
cons
cons
1481
ref
subst
trans
appThm
2547
ref
refl
appThm
nil
63
ref
2548
remove
cons
nil
cons
nil
cons
cons
2556
def
nil
63
ref
32
ref
65
ref
appTerm
2557
def
65
ref
appTerm
2558
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
63
ref
2558
remove
absTerm
2559
def
65
ref
appTerm
2560
def
betaConv
nil
150
ref
2559
ref
appTerm
2561
def
axiom
nil
30
ref
2561
remove
nil
cons
cons
31
ref
2560
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
2559
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
2562
def
subst
trans
sym
68
ref
eqMp
eqMp
2563
def
appThm
820
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
242
ref
331
ref
537
ref
appTerm
appTerm
2545
ref
appTerm
absTerm
appTerm
2564
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
178
ref
163
ref
2459
remove
absTerm
2565
def
appTerm
2566
def
appTerm
178
ref
163
ref
242
ref
331
ref
554
ref
appTerm
appTerm
2457
ref
553
ref
appTerm
2567
def
appTerm
absTerm
2568
def
appTerm
2569
def
appTerm
2570
def
absTerm
2571
def
appTerm
2572
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
2571
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
2570
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2566
ref
nil
cons
2573
def
cons
2574
def
31
ref
2569
remove
nil
cons
2575
def
cons
nil
cons
cons
nil
cons
cons
2576
def
49
ref
subst
2576
remove
121
ref
subst
nil
183
ref
2568
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
387
ref
1769
ref
576
ref
appThm
nil
886
ref
566
ref
nil
cons
2577
def
cons
889
ref
cons
nil
cons
cons
1133
ref
subst
342
ref
171
ref
appTerm
2578
def
refl
2579
def
521
ref
2565
ref
170
ref
appTerm
2580
def
betaConv
nil
2574
remove
31
ref
2580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2565
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
trans
trans
appThm
nil
"n'"
162
ref
var
2581
def
2578
ref
2456
ref
389
ref
appTerm
2582
def
525
ref
appTerm
2583
def
appTerm
2584
def
nil
cons
2585
def
cons
442
ref
2567
ref
nil
cons
2586
def
cons
nil
cons
2587
def
cons
nil
cons
cons
2581
ref
13
ref
695
ref
2581
ref
varTerm
2588
def
appTerm
2589
def
appTerm
2590
def
242
ref
633
ref
2469
ref
1969
ref
appTerm
553
ref
appTerm
2591
def
appTerm
appTerm
467
ref
2588
ref
appTerm
2592
def
2591
ref
appTerm
appTerm
2593
def
appTerm
2594
def
absTerm
2595
def
2588
ref
appTerm
2596
def
betaConv
442
ref
178
ref
2595
ref
appTerm
2597
def
absTerm
2598
def
445
ref
appTerm
2599
def
betaConv
257
ref
442
ref
257
ref
2581
ref
2594
remove
assume
sym
13
ref
2593
remove
appTerm
2589
ref
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
703
ref
2591
ref
appTerm
2600
def
betaConv
706
ref
nil
707
ref
31
ref
2600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
708
ref
184
ref
2591
ref
nil
cons
2601
def
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
30
ref
178
ref
2598
ref
appTerm
nil
cons
cons
31
ref
2599
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2598
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2597
remove
nil
cons
cons
31
ref
2596
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2595
remove
nil
cons
cons
184
ref
2588
ref
nil
cons
cons
nil
cons
2602
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2603
def
subst
sym
387
ref
1979
ref
2541
ref
subst
appThm
2604
def
467
ref
2584
ref
appTerm
2605
def
2591
ref
appTerm
refl
appThm
sym
411
ref
refl
2606
def
2605
remove
refl
nil
163
ref
1969
ref
nil
cons
2607
def
cons
nil
cons
nil
cons
cons
2608
def
522
ref
242
ref
2491
ref
553
ref
appTerm
2609
def
appTerm
2610
def
1150
ref
2492
ref
appTerm
2611
def
appTerm
absTerm
2612
def
525
ref
appTerm
2613
def
betaConv
163
ref
178
ref
2612
ref
appTerm
2614
def
absTerm
2615
def
170
ref
appTerm
2616
def
betaConv
257
ref
163
ref
257
ref
522
ref
387
ref
1979
ref
2501
ref
subst
2549
ref
2054
ref
appThm
401
ref
appThm
trans
appThm
nil
1135
ref
2492
ref
nil
cons
2617
def
cons
887
ref
198
ref
cons
nil
cons
2618
def
cons
nil
cons
cons
2619
def
1170
ref
subst
673
ref
326
ref
appThm
2620
def
1157
ref
refl
2621
def
2501
ref
appThm
nil
687
ref
185
ref
cons
2622
def
2059
remove
cons
nil
cons
cons
687
ref
242
ref
1173
ref
2107
ref
appTerm
appTerm
1156
ref
1301
ref
appTerm
691
ref
appTerm
appTerm
absTerm
2623
def
691
ref
appTerm
2624
def
betaConv
163
ref
178
ref
2623
ref
appTerm
2625
def
absTerm
2626
def
170
ref
appTerm
2627
def
betaConv
442
ref
178
ref
2626
ref
appTerm
2628
def
absTerm
2629
def
445
ref
appTerm
2630
def
betaConv
nil
178
ref
2629
ref
appTerm
2631
def
axiom
nil
30
ref
2631
remove
nil
cons
cons
31
ref
2630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2629
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2628
remove
nil
cons
cons
31
ref
2627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2626
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2625
remove
nil
cons
cons
31
ref
2624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2623
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2632
def
subst
trans
appThm
nil
163
ref
1156
ref
2082
ref
appTerm
170
ref
appTerm
nil
cons
2633
def
cons
nil
cons
nil
cons
cons
2299
ref
subst
trans
trans
appThm
nil
184
ref
2633
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
2634
def
nil
30
ref
178
ref
2615
ref
appTerm
2635
def
nil
cons
cons
31
ref
2616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2615
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2614
remove
nil
cons
cons
31
ref
2613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2612
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2636
def
subst
1150
ref
refl
2637
def
2469
ref
refl
2638
def
2154
ref
appThm
1806
ref
appThm
appThm
trans
appThm
appThm
sym
2606
ref
673
ref
nil
1135
ref
2583
ref
nil
cons
2639
def
cons
889
ref
cons
nil
cons
cons
2640
def
1170
ref
subst
appThm
nil
1135
ref
2469
ref
1972
ref
appTerm
525
ref
appTerm
2641
def
nil
cons
2642
def
cons
2618
ref
cons
nil
cons
cons
1170
ref
subst
2620
ref
1157
ref
2641
ref
appTerm
2643
def
refl
appThm
nil
163
ref
2643
remove
nil
cons
2644
def
cons
nil
cons
nil
cons
cons
2299
ref
subst
trans
trans
appThm
nil
687
ref
2644
remove
cons
163
ref
1157
ref
2583
ref
appTerm
nil
cons
cons
442
ref
286
ref
171
ref
appTerm
2645
def
nil
cons
2646
def
cons
nil
cons
cons
cons
nil
cons
cons
687
ref
242
ref
467
ref
1235
ref
appTerm
691
ref
appTerm
2647
def
appTerm
633
ref
694
ref
appTerm
2648
def
appTerm
2649
def
absTerm
2650
def
691
ref
appTerm
2651
def
betaConv
163
ref
178
ref
2650
ref
appTerm
2652
def
absTerm
2653
def
170
ref
appTerm
2654
def
betaConv
442
ref
178
ref
2653
ref
appTerm
2655
def
absTerm
2656
def
445
ref
appTerm
2657
def
betaConv
257
ref
442
ref
257
ref
163
ref
257
ref
687
ref
2649
remove
assume
sym
242
ref
2648
remove
appTerm
2647
remove
appTerm
2658
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
2658
remove
absTerm
2659
def
appTerm
2660
def
absTerm
2661
def
appTerm
2662
def
absTerm
2663
def
appTerm
2664
def
axiom
2665
def
eqMp
nil
30
ref
178
ref
2656
ref
appTerm
nil
cons
cons
31
ref
2657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2656
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2655
remove
nil
cons
cons
31
ref
2654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2653
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2652
remove
nil
cons
cons
31
ref
2651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2650
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2666
def
subst
467
ref
2645
ref
appTerm
refl
nil
687
ref
2642
remove
cons
163
ref
2639
remove
cons
1171
ref
cons
cons
nil
cons
cons
687
ref
242
ref
467
ref
1301
ref
appTerm
1173
ref
691
ref
appTerm
2667
def
appTerm
2668
def
appTerm
1173
ref
694
remove
appTerm
2669
def
appTerm
2670
def
absTerm
2671
def
691
ref
appTerm
2672
def
betaConv
163
ref
178
ref
2671
ref
appTerm
2673
def
absTerm
2674
def
170
ref
appTerm
2675
def
betaConv
442
ref
178
ref
2674
ref
appTerm
2676
def
absTerm
2677
def
445
ref
appTerm
2678
def
betaConv
257
ref
442
ref
257
ref
163
ref
257
ref
687
ref
2670
remove
assume
sym
242
ref
2669
remove
appTerm
2668
remove
appTerm
2679
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
2679
remove
absTerm
2680
def
appTerm
2681
def
absTerm
2682
def
appTerm
2683
def
absTerm
2684
def
appTerm
2685
def
axiom
2686
def
eqMp
nil
30
ref
178
ref
2677
ref
appTerm
nil
cons
cons
31
ref
2678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2677
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2676
remove
nil
cons
cons
31
ref
2675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2674
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2673
remove
nil
cons
cons
31
ref
2672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2671
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2687
def
subst
appThm
trans
trans
appThm
sym
2606
ref
nil
1135
ref
467
ref
2583
ref
appTerm
2641
remove
appTerm
2688
def
nil
cons
2689
def
cons
889
ref
cons
nil
cons
cons
1135
ref
242
ref
1159
remove
appTerm
1139
ref
appTerm
2690
def
absTerm
2691
def
1138
ref
appTerm
2692
def
betaConv
887
ref
178
ref
2691
ref
appTerm
2693
def
absTerm
2694
def
969
ref
appTerm
2695
def
betaConv
1082
ref
887
ref
257
ref
1135
ref
2690
remove
assume
sym
1160
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1167
remove
eqMp
nil
30
ref
150
ref
2694
ref
appTerm
nil
cons
cons
31
ref
2695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
2694
remove
nil
cons
cons
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2693
remove
nil
cons
cons
31
ref
2692
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2691
remove
nil
cons
cons
1169
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2696
def
subst
appThm
sym
387
ref
2606
ref
387
ref
nil
1135
ref
519
ref
cons
889
ref
cons
nil
cons
cons
1170
ref
subst
673
ref
387
ref
nil
284
ref
888
ref
cons
nil
cons
nil
cons
cons
2697
def
300
ref
subst
630
ref
188
remove
appThm
675
ref
appThm
402
ref
appThm
trans
appThm
2503
remove
393
ref
appTerm
2698
def
refl
2699
def
appThm
sym
80
ref
"_29027"
162
ref
var
2700
def
242
ref
2698
ref
appTerm
2701
def
2700
remove
varTerm
appTerm
absTerm
2702
def
294
ref
174
ref
appTerm
283
ref
appTerm
164
ref
appTerm
2703
def
appTerm
betaConv
appThm
596
ref
32
ref
174
ref
appTerm
2704
def
refl
2702
ref
283
ref
appTerm
betaConv
appThm
appThm
32
ref
260
ref
appTerm
2705
def
refl
2702
ref
164
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
165
ref
cons
1695
ref
304
ref
cons
1697
ref
174
ref
nil
cons
2706
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
1698
ref
2702
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
30
ref
2706
ref
cons
31
ref
2701
ref
283
ref
appTerm
2707
def
nil
cons
2708
def
cons
nil
cons
cons
nil
cons
cons
2709
def
49
ref
subst
2709
remove
121
ref
subst
163
ref
13
ref
2707
ref
appTerm
174
ref
appTerm
2710
def
absTerm
2711
def
170
ref
appTerm
2712
def
betaConv
257
ref
163
ref
2710
remove
assume
sym
13
ref
174
ref
appTerm
2713
def
2707
ref
appTerm
2714
def
assume
sym
deductAntisym
absThm
appThm
nil
178
ref
163
ref
2714
remove
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
2711
ref
appTerm
nil
cons
cons
31
ref
2712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2711
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
63
ref
2706
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
174
remove
assume
eqMp
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2706
remove
cons
2715
def
78
ref
2708
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
2704
remove
2707
remove
appTerm
nil
cons
cons
31
ref
2705
remove
2701
ref
164
ref
appTerm
2716
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
264
ref
cons
2717
def
31
ref
2716
ref
nil
cons
2718
def
cons
nil
cons
cons
nil
cons
cons
2719
def
49
ref
subst
2719
remove
121
ref
subst
163
ref
13
ref
2716
ref
appTerm
"Number.Natural.even"
const
168
remove
constTerm
170
ref
appTerm
2720
def
appTerm
2721
def
absTerm
2722
def
170
ref
appTerm
2723
def
betaConv
257
ref
163
ref
2721
remove
assume
sym
13
ref
2720
ref
appTerm
2724
def
2716
remove
appTerm
2725
def
assume
sym
deductAntisym
absThm
appThm
nil
178
ref
163
ref
2725
remove
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
2722
ref
appTerm
nil
cons
cons
31
ref
2723
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2722
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
sym
163
ref
2724
remove
260
ref
appTerm
2726
def
absTerm
2727
def
170
ref
appTerm
2728
def
betaConv
257
ref
163
ref
2726
remove
assume
sym
13
ref
260
remove
appTerm
2720
remove
appTerm
2729
def
assume
sym
deductAntisym
absThm
appThm
nil
178
ref
163
ref
2729
remove
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
2727
ref
appTerm
nil
cons
cons
31
ref
2728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2727
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
161
ref
nil
2717
remove
31
ref
2713
remove
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
2715
remove
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
264
remove
cons
78
ref
2718
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
30
ref
2701
ref
2703
ref
appTerm
nil
cons
cons
31
ref
242
ref
2703
ref
appTerm
2698
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
184
ref
2698
ref
nil
cons
2730
def
cons
479
ref
2703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2125
ref
subst
eqMp
eqMp
2731
def
appThm
2621
ref
400
ref
appThm
appThm
trans
appThm
401
ref
appThm
sym
387
ref
nil
163
ref
1157
ref
394
ref
appTerm
nil
cons
cons
442
ref
2730
remove
cons
nil
cons
cons
nil
cons
cons
2490
ref
subst
appThm
401
ref
appThm
sym
387
ref
673
ref
nil
163
ref
394
ref
nil
cons
2732
def
cons
1171
ref
cons
nil
cons
cons
2105
ref
subst
appThm
2699
remove
appThm
appThm
401
ref
appThm
sym
759
remove
nil
762
remove
31
ref
242
ref
467
ref
1156
ref
394
ref
appTerm
393
ref
appTerm
appTerm
2698
ref
appTerm
appTerm
170
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
766
remove
442
ref
2523
ref
absTerm
2733
def
445
ref
appTerm
2734
def
betaConv
163
ref
178
ref
2733
ref
appTerm
2735
def
absTerm
2736
def
170
ref
appTerm
2737
def
betaConv
2528
remove
nil
30
ref
2527
remove
nil
cons
2738
def
cons
2739
def
31
ref
178
ref
2736
ref
appTerm
nil
cons
2740
def
cons
nil
cons
cons
nil
cons
cons
2741
def
101
ref
subst
proveHyp
2741
ref
49
ref
subst
2741
remove
121
ref
subst
nil
183
ref
2736
remove
nil
cons
cons
2742
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2735
remove
nil
cons
2743
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
2733
remove
nil
cons
cons
2744
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
2523
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2524
ref
170
ref
appTerm
2745
def
betaConv
2526
ref
445
ref
appTerm
2746
def
betaConv
nil
2739
remove
31
ref
2746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2526
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2525
remove
nil
cons
cons
31
ref
2745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2524
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
2738
remove
cons
78
ref
2740
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
2740
remove
cons
31
ref
2737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2742
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2743
remove
cons
31
ref
2734
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2744
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
2747
def
appThm
2036
ref
trans
sym
68
ref
eqMp
2748
def
appThm
2578
ref
2688
ref
appTerm
refl
appThm
sym
nil
301
ref
2689
remove
cons
1187
ref
888
ref
cons
303
ref
519
ref
cons
1188
ref
888
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
1612
ref
subst
596
ref
nil
153
ref
888
remove
cons
nil
cons
2749
def
nil
cons
cons
269
ref
subst
2750
def
appThm
390
ref
2688
remove
appTerm
2751
def
refl
appThm
nil
63
ref
2751
remove
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
trans
sym
390
ref
refl
521
ref
2541
ref
subst
appThm
nil
184
ref
519
remove
cons
nil
cons
2752
def
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
2753
def
appThm
nil
184
ref
2585
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
2754
def
trans
absThm
eqMp
eqMp
nil
76
ref
2573
remove
cons
78
ref
2575
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
2564
remove
appTerm
2572
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
2566
remove
absTerm
2755
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2755
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
2755
ref
525
ref
appTerm
betaConv
2756
def
appThm
2755
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
2756
remove
absThm
appThm
appThm
nil
597
ref
2755
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
2757
def
nil
30
ref
178
ref
2464
ref
appTerm
2758
def
nil
cons
cons
31
ref
2465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2464
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2463
remove
nil
cons
cons
31
ref
2461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2460
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2759
def
subst
163
ref
242
ref
2457
ref
464
ref
appTerm
appTerm
170
ref
appTerm
2760
def
absTerm
2761
def
170
ref
appTerm
2762
def
betaConv
2763
def
596
ref
387
ref
2456
ref
164
ref
appTerm
2764
def
refl
492
ref
appThm
167
ref
2563
ref
subst
2765
def
trans
appThm
402
ref
appThm
820
ref
trans
appThm
178
ref
163
ref
32
ref
38
ref
413
ref
appTerm
2766
def
242
ref
2582
ref
614
ref
appTerm
appTerm
389
ref
appTerm
2767
def
appTerm
2768
def
appTerm
2760
ref
appTerm
2769
def
absTerm
2770
def
appTerm
2771
def
refl
appThm
nil
63
ref
2771
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
183
ref
2770
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2769
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2768
remove
nil
cons
2772
def
cons
31
ref
2760
remove
nil
cons
2773
def
cons
nil
cons
cons
nil
cons
cons
2774
def
49
ref
subst
2774
remove
121
ref
subst
nil
815
ref
78
ref
2767
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2775
def
92
ref
subst
2775
remove
221
ref
subst
387
ref
2457
ref
refl
2776
def
853
ref
appThm
appThm
401
ref
appThm
sym
2776
ref
855
remove
appThm
nil
522
ref
854
remove
cons
nil
cons
nil
cons
cons
2753
ref
subst
2579
ref
2767
remove
assume
appThm
2747
ref
trans
trans
trans
eqMp
proveHyp
proveHyp
eqMp
nil
76
ref
2772
remove
cons
78
ref
2773
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
242
ref
2764
ref
493
remove
appTerm
appTerm
164
ref
appTerm
appTerm
2771
remove
appTerm
nil
cons
cons
31
ref
178
ref
2761
ref
appTerm
2777
def
nil
cons
2778
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
2761
ref
164
ref
appTerm
betaConv
appThm
257
ref
163
ref
200
ref
2766
ref
refl
2761
ref
389
ref
appTerm
betaConv
appThm
appThm
2763
ref
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
2763
remove
absThm
appThm
appThm
nil
597
ref
2761
remove
nil
cons
2779
def
cons
nil
cons
nil
cons
cons
nil
30
ref
601
ref
178
ref
163
ref
32
ref
2766
ref
599
ref
389
ref
appTerm
appTerm
2780
def
appTerm
602
ref
appTerm
2781
def
absTerm
2782
def
appTerm
2783
def
appTerm
2784
def
nil
cons
2785
def
cons
31
ref
603
ref
nil
cons
2786
def
cons
nil
cons
2787
def
cons
nil
cons
cons
2788
def
49
ref
subst
2788
ref
121
ref
subst
nil
76
ref
600
remove
nil
cons
2789
def
cons
2790
def
78
ref
2783
remove
nil
cons
2791
def
cons
nil
cons
cons
nil
cons
cons
2792
def
92
ref
subst
2792
remove
221
ref
subst
522
ref
725
ref
601
ref
178
ref
163
ref
32
ref
2766
ref
599
ref
729
remove
appTerm
appTerm
appTerm
602
ref
appTerm
absTerm
appTerm
appTerm
appTerm
2793
def
absTerm
2794
def
393
ref
appTerm
betaConv
sym
1498
ref
nil
1499
ref
31
ref
601
ref
178
ref
163
ref
32
ref
2766
ref
599
ref
394
remove
appTerm
2795
def
appTerm
2796
def
appTerm
602
ref
appTerm
2797
def
absTerm
2798
def
appTerm
2799
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
2789
remove
cons
2800
def
31
ref
2799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
nil
183
ref
2798
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2797
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2796
remove
nil
cons
2801
def
cons
31
ref
602
remove
nil
cons
2802
def
cons
nil
cons
2803
def
cons
nil
cons
cons
2804
def
49
ref
subst
2804
remove
121
ref
subst
nil
815
ref
78
ref
2795
ref
nil
cons
2805
def
cons
nil
cons
cons
nil
cons
cons
2806
def
92
ref
subst
2806
remove
221
ref
subst
596
ref
744
ref
appThm
2807
def
599
ref
refl
2808
def
400
ref
appThm
nil
63
ref
2805
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
2795
remove
assume
eqMp
trans
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
2780
remove
nil
cons
cons
2803
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
2782
ref
170
ref
appTerm
2809
def
betaConv
2810
def
nil
30
ref
2791
ref
cons
31
ref
2809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2782
ref
nil
cons
cons
2811
def
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
76
ref
2801
remove
cons
78
ref
2802
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
2794
ref
nil
cons
cons
2812
def
733
ref
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
2794
ref
appTerm
2813
def
nil
cons
2814
def
cons
2815
def
2787
ref
cons
nil
cons
cons
2816
def
101
ref
subst
proveHyp
597
ref
32
ref
2813
remove
appTerm
2817
def
603
ref
appTerm
2818
def
absTerm
2819
def
599
ref
appTerm
2820
def
betaConv
nil
178
ref
522
ref
606
ref
597
ref
32
ref
2793
ref
appTerm
603
ref
appTerm
absTerm
2821
def
appTerm
2822
def
absTerm
2823
def
appTerm
2824
def
axiom
nil
30
ref
2824
ref
nil
cons
2825
def
cons
2826
def
31
ref
606
ref
2819
ref
appTerm
nil
cons
2827
def
cons
nil
cons
cons
nil
cons
cons
2828
def
101
ref
subst
proveHyp
2828
ref
49
ref
subst
2828
remove
121
ref
subst
nil
609
ref
2819
remove
nil
cons
cons
2829
def
nil
cons
nil
cons
cons
608
ref
137
ref
cons
561
ref
subst
2830
def
subst
597
ref
nil
63
ref
2818
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2816
ref
49
ref
subst
2816
remove
121
ref
subst
nil
2826
ref
2787
ref
cons
nil
cons
cons
2831
def
101
ref
subst
nil
2815
remove
31
ref
32
ref
2824
remove
appTerm
603
ref
appTerm
2832
def
nil
cons
2833
def
cons
nil
cons
2834
def
cons
nil
cons
cons
101
ref
subst
nil
183
ref
522
ref
32
ref
2794
ref
525
ref
appTerm
2835
def
appTerm
2832
ref
appTerm
2836
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
2836
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
2835
ref
nil
cons
2837
def
cons
2834
ref
cons
nil
cons
cons
2838
def
49
ref
subst
2838
remove
121
ref
subst
2835
ref
betaConv
2835
remove
assume
eqMp
nil
30
ref
2793
remove
nil
cons
2839
def
cons
2840
def
2834
remove
cons
nil
cons
cons
2841
def
101
ref
subst
proveHyp
2841
ref
49
ref
subst
2841
remove
121
ref
subst
2831
ref
49
ref
subst
2831
remove
121
ref
subst
nil
2840
remove
2787
ref
cons
nil
cons
cons
101
ref
subst
2821
ref
599
ref
appTerm
2842
def
betaConv
2823
ref
525
ref
appTerm
2843
def
betaConv
nil
2826
remove
31
ref
2843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
2823
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2822
remove
nil
cons
cons
31
ref
2842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
608
ref
609
ref
2821
remove
nil
cons
cons
611
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
2825
remove
cons
2844
def
78
ref
2786
remove
cons
nil
cons
2845
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
2839
remove
cons
78
ref
2833
remove
cons
nil
cons
2846
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
2837
remove
cons
2846
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
2794
remove
1909
ref
appTerm
appTerm
2832
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
2817
remove
2832
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2812
remove
2846
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
2814
remove
cons
2845
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
2844
remove
78
ref
2827
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
2827
remove
cons
31
ref
2820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
608
ref
2829
remove
611
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
76
ref
2785
remove
cons
2845
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
2847
def
subst
eqMp
eqMp
2848
def
nil
30
ref
2778
remove
cons
31
ref
2762
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2779
remove
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
trans
trans
2849
def
appThm
appThm
501
ref
refl
appThm
nil
105
ref
932
ref
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
15
ref
501
ref
appTerm
absTerm
appTerm
thm
161
ref
1312
remove
appThm
236
ref
trans
sym
68
ref
eqMp
nil
160
ref
169
ref
393
ref
appTerm
appTerm
thm
1285
ref
nil
242
ref
1280
ref
appTerm
2850
def
283
ref
appTerm
2851
def
thm
1502
ref
nil
242
ref
388
ref
283
ref
appTerm
appTerm
164
ref
appTerm
thm
2335
ref
nil
2332
ref
thm
387
ref
428
ref
476
ref
subst
appThm
675
ref
appThm
sym
80
ref
"_28987"
162
ref
var
2852
def
242
ref
2852
remove
varTerm
appTerm
283
ref
appTerm
absTerm
2853
def
294
ref
242
ref
283
ref
appTerm
2854
def
164
ref
appTerm
2855
def
appTerm
164
ref
appTerm
467
ref
469
ref
283
ref
appTerm
2856
def
appTerm
283
ref
appTerm
2857
def
appTerm
appTerm
betaConv
appThm
596
ref
32
ref
2855
ref
appTerm
2858
def
refl
2853
ref
164
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
2855
ref
appTerm
2859
def
appTerm
2860
def
refl
2853
ref
2857
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
2857
ref
nil
cons
cons
1696
ref
1697
ref
2855
ref
nil
cons
2861
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
1698
ref
2853
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
30
ref
2861
ref
cons
31
ref
550
ref
283
ref
appTerm
2862
def
nil
cons
2863
def
cons
nil
cons
cons
nil
cons
cons
2864
def
49
ref
subst
2864
remove
121
ref
subst
550
remove
refl
2855
ref
assume
appThm
820
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2861
remove
cons
78
ref
2863
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
2858
remove
2862
remove
appTerm
nil
cons
cons
31
ref
2860
remove
242
ref
2857
remove
appTerm
283
ref
appTerm
2865
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
2859
remove
nil
cons
2866
def
cons
2867
def
31
ref
2865
remove
nil
cons
2868
def
cons
nil
cons
cons
nil
cons
cons
2869
def
49
ref
subst
2869
remove
121
ref
subst
nil
427
ref
442
ref
2856
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1481
remove
subst
sym
1498
remove
nil
1499
remove
31
ref
242
ref
2856
remove
appTerm
164
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
522
ref
403
remove
cons
2870
def
nil
cons
2871
def
nil
cons
cons
2872
def
522
ref
32
ref
724
remove
appTerm
242
ref
727
ref
283
ref
appTerm
appTerm
164
ref
appTerm
appTerm
absTerm
2873
def
525
ref
appTerm
2874
def
betaConv
nil
178
ref
2873
ref
appTerm
2875
def
axiom
nil
30
ref
2875
remove
nil
cons
cons
31
ref
2874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2873
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
76
ref
2866
remove
cons
78
ref
2868
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
2876
def
nil
242
ref
463
ref
283
ref
appTerm
2877
def
appTerm
283
ref
appTerm
thm
nil
152
ref
1269
ref
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
1260
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
1290
ref
eqMp
absThm
eqMp
nil
150
ref
1269
remove
appTerm
thm
nil
152
ref
284
ref
1485
remove
absTerm
2878
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
1486
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
1503
remove
eqMp
absThm
eqMp
nil
150
ref
2878
remove
appTerm
thm
257
ref
163
ref
387
ref
2849
ref
appThm
401
ref
appThm
2036
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
2879
def
nil
178
ref
163
ref
242
ref
331
ref
501
ref
appTerm
2880
def
appTerm
170
ref
appTerm
2881
def
absTerm
appTerm
thm
nil
183
ref
163
ref
242
ref
"Number.Natural.Bits.and"
const
292
ref
constTerm
2882
def
164
ref
appTerm
170
ref
appTerm
2883
def
appTerm
164
ref
appTerm
2884
def
absTerm
2885
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2884
remove
nil
cons
2886
def
cons
nil
cons
nil
cons
cons
69
ref
subst
257
ref
1939
ref
80
ref
1819
ref
80
ref
2314
ref
163
ref
242
ref
2882
ref
445
ref
appTerm
170
ref
appTerm
2887
def
appTerm
2888
def
331
ref
1790
ref
1939
ref
38
ref
1791
ref
445
ref
appTerm
2889
def
1941
ref
appTerm
2890
def
appTerm
1953
ref
appTerm
2891
def
absTerm
2892
def
appTerm
2893
def
1796
ref
"Number.Natural.min"
const
292
ref
constTerm
2894
def
463
ref
445
ref
appTerm
2895
def
appTerm
464
ref
appTerm
2896
def
appTerm
2897
def
appTerm
2898
def
appTerm
appTerm
absTerm
2899
def
170
ref
appTerm
2900
def
betaConv
442
ref
178
ref
2899
ref
appTerm
2901
def
absTerm
2902
def
445
ref
appTerm
2903
def
betaConv
nil
178
ref
2902
ref
appTerm
2904
def
axiom
nil
30
ref
2904
remove
nil
cons
cons
31
ref
2903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2902
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2901
remove
nil
cons
cons
31
ref
2900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2899
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
2235
ref
appThm
nil
4
ref
2898
ref
nil
cons
cons
nil
cons
nil
cons
cons
2433
ref
subst
596
ref
2220
ref
nil
2171
ref
2897
ref
nil
cons
2905
def
cons
1826
ref
2892
ref
nil
cons
2906
def
cons
nil
cons
cons
nil
cons
cons
2203
ref
subst
nil
163
ref
2896
ref
nil
cons
2907
def
cons
444
ref
cons
nil
cons
cons
2211
ref
subst
2908
def
trans
appThm
appThm
2222
ref
2898
remove
appTerm
1941
ref
appTerm
2909
def
refl
2910
def
appThm
trans
trans
appThm
2891
ref
refl
2911
def
appThm
sym
nil
30
ref
160
ref
2219
ref
2896
ref
appTerm
2912
def
appTerm
2913
def
nil
cons
2914
def
cons
2915
def
31
ref
13
ref
38
ref
2912
ref
appTerm
2909
ref
appTerm
appTerm
2891
ref
appTerm
nil
cons
2916
def
cons
nil
cons
2917
def
cons
nil
cons
cons
2918
def
49
ref
subst
2918
remove
121
ref
subst
80
ref
596
ref
nil
2915
remove
31
ref
13
ref
2912
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
2912
ref
nil
cons
2919
def
cons
2920
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
2910
ref
appThm
nil
63
ref
2909
ref
nil
cons
cons
nil
cons
nil
cons
cons
2921
def
1318
ref
subst
trans
appThm
2911
ref
appThm
nil
63
ref
2891
ref
nil
cons
2922
def
cons
nil
cons
nil
cons
cons
2923
def
652
ref
subst
nil
1033
ref
1953
ref
nil
cons
2924
def
cons
2925
def
1034
ref
2890
ref
nil
cons
2926
def
cons
nil
cons
cons
nil
cons
cons
2927
def
1033
ref
13
ref
160
ref
38
ref
1034
ref
varTerm
2928
def
appTerm
1033
ref
varTerm
2929
def
appTerm
2930
def
appTerm
appTerm
19
ref
160
ref
2928
ref
appTerm
2931
def
appTerm
160
ref
2929
ref
appTerm
2932
def
appTerm
appTerm
absTerm
2933
def
2929
ref
appTerm
2934
def
betaConv
1034
ref
150
ref
2933
ref
appTerm
2935
def
absTerm
2936
def
2928
ref
appTerm
2937
def
betaConv
nil
150
ref
2936
ref
appTerm
2938
def
axiom
nil
30
ref
2938
remove
nil
cons
cons
31
ref
2937
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
2936
remove
nil
cons
cons
153
ref
2928
ref
nil
cons
cons
nil
cons
2939
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2935
remove
nil
cons
cons
31
ref
2934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
2933
remove
nil
cons
cons
153
ref
2929
ref
nil
cons
cons
nil
cons
2940
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2941
def
subst
trans
trans
sym
nil
30
ref
160
ref
2219
ref
464
ref
appTerm
2942
def
appTerm
2943
def
nil
cons
2944
def
cons
2945
def
31
ref
19
ref
160
ref
2890
ref
appTerm
2946
def
appTerm
160
ref
1953
ref
appTerm
2947
def
appTerm
nil
cons
2948
def
cons
nil
cons
2949
def
cons
nil
cons
cons
2950
def
49
ref
subst
2950
remove
121
ref
subst
200
ref
2314
ref
163
ref
411
ref
2880
remove
appTerm
2951
def
absTerm
2952
def
170
ref
appTerm
2953
def
betaConv
257
ref
163
ref
2951
remove
assume
sym
2881
remove
assume
sym
deductAntisym
absThm
appThm
2879
remove
eqMp
nil
30
ref
178
ref
2952
ref
appTerm
nil
cons
cons
31
ref
2953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2952
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
2235
ref
appThm
appThm
2942
ref
refl
2954
def
appThm
sym
200
ref
933
remove
2433
ref
subst
596
ref
2220
ref
2213
ref
appThm
appThm
2222
ref
501
ref
appTerm
1941
ref
appTerm
2955
def
refl
appThm
trans
appThm
2954
remove
appThm
sym
nil
30
ref
38
ref
2942
ref
appTerm
2955
ref
appTerm
nil
cons
2956
def
cons
31
ref
2942
ref
nil
cons
2957
def
cons
nil
cons
cons
nil
cons
cons
2958
def
49
ref
subst
2958
remove
121
ref
subst
nil
76
ref
2957
ref
cons
2959
def
78
ref
2955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
eqMp
nil
76
ref
2956
remove
cons
78
ref
2957
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2960
def
nil
30
ref
32
ref
1953
ref
appTerm
2961
def
2942
ref
appTerm
2962
def
nil
cons
2963
def
cons
2964
def
31
ref
2947
ref
nil
cons
2965
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
2961
remove
refl
2966
def
nil
2945
remove
31
ref
13
ref
2942
remove
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
2959
remove
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
nil
63
ref
2924
ref
cons
nil
cons
nil
cons
cons
2967
def
63
ref
13
ref
2557
ref
191
ref
appTerm
appTerm
648
remove
appTerm
absTerm
2968
def
65
ref
appTerm
2969
def
betaConv
nil
150
ref
2968
ref
appTerm
2970
def
axiom
nil
30
ref
2970
remove
nil
cons
cons
31
ref
2969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
2968
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
2971
def
subst
2972
def
trans
appThm
2947
ref
refl
appThm
nil
63
ref
2965
ref
cons
nil
cons
nil
cons
cons
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
2946
ref
nil
cons
2973
def
cons
2974
def
78
ref
2965
ref
cons
nil
cons
cons
nil
cons
cons
2975
def
851
remove
sym
2976
def
nil
152
ref
63
ref
32
ref
225
remove
65
ref
appTerm
2977
def
appTerm
32
ref
840
remove
65
ref
appTerm
2978
def
appTerm
65
ref
appTerm
2979
def
appTerm
2980
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
2981
def
63
ref
nil
63
ref
2980
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2982
def
nil
30
ref
2977
ref
nil
cons
2983
def
cons
31
ref
2979
remove
nil
cons
2984
def
cons
nil
cons
cons
nil
cons
cons
2985
def
49
ref
subst
2986
def
2985
remove
121
ref
subst
2987
def
nil
30
ref
2978
ref
nil
cons
2988
def
cons
31
ref
154
ref
cons
nil
cons
2989
def
cons
nil
cons
cons
2990
def
49
ref
subst
2991
def
2990
remove
121
ref
subst
2992
def
nil
30
ref
1520
remove
cons
2989
ref
cons
nil
cons
cons
101
ref
subst
2978
remove
assume
eqMp
eqMp
nil
76
ref
2988
remove
cons
78
ref
154
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
2993
def
deductAntisym
eqMp
eqMp
nil
76
ref
2983
remove
cons
78
ref
2984
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
2994
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
2995
def
subst
proveHyp
eqMp
nil
76
ref
2944
ref
cons
78
ref
2948
ref
cons
nil
cons
2996
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
160
ref
2219
ref
2895
ref
appTerm
2997
def
appTerm
nil
cons
2998
def
cons
2999
def
2949
remove
cons
nil
cons
cons
3000
def
49
ref
subst
3000
remove
121
ref
subst
1939
ref
32
ref
2890
ref
appTerm
3001
def
2997
ref
appTerm
3002
def
absTerm
3003
def
1941
ref
appTerm
3004
def
betaConv
163
ref
178
ref
1939
ref
2962
remove
absTerm
3005
def
appTerm
3006
def
absTerm
3007
def
445
ref
appTerm
3008
def
betaConv
nil
183
ref
3007
ref
nil
cons
cons
3009
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3006
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
3005
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
2963
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
2960
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3010
def
nil
30
ref
178
ref
3007
remove
appTerm
3011
def
nil
cons
cons
31
ref
3008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
3009
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
3003
ref
appTerm
nil
cons
cons
31
ref
3004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3003
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3012
def
nil
30
ref
3002
ref
nil
cons
cons
3013
def
31
ref
2973
ref
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
3001
remove
refl
3014
def
nil
2999
remove
31
ref
13
ref
2997
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
2997
remove
nil
cons
3015
def
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
nil
63
ref
2926
ref
cons
nil
cons
nil
cons
cons
3016
def
2971
ref
subst
3017
def
trans
appThm
2946
ref
refl
appThm
nil
63
ref
2973
ref
cons
nil
cons
nil
cons
cons
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
2975
remove
2976
remove
2981
remove
63
ref
2982
remove
2986
remove
2987
remove
2991
remove
2992
remove
nil
197
remove
2989
remove
cons
nil
cons
cons
101
ref
subst
2977
remove
assume
eqMp
eqMp
2993
remove
deductAntisym
eqMp
eqMp
2994
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
nil
76
ref
2998
remove
cons
3018
def
2996
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
161
ref
nil
687
ref
523
ref
cons
3019
def
163
ref
2895
ref
nil
cons
3020
def
cons
3021
def
2338
ref
cons
cons
nil
cons
cons
687
ref
13
ref
446
ref
2894
ref
170
ref
appTerm
3022
def
691
ref
appTerm
3023
def
appTerm
appTerm
38
ref
447
ref
appTerm
3024
def
446
ref
691
ref
appTerm
3025
def
appTerm
appTerm
absTerm
3026
def
691
ref
appTerm
3027
def
betaConv
163
ref
178
ref
3026
ref
appTerm
3028
def
absTerm
3029
def
170
ref
appTerm
3030
def
betaConv
442
ref
178
ref
3029
ref
appTerm
3031
def
absTerm
3032
def
445
ref
appTerm
3033
def
betaConv
nil
178
ref
3032
ref
appTerm
3034
def
axiom
nil
30
ref
3034
remove
nil
cons
cons
31
ref
3033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3032
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3031
remove
nil
cons
cons
31
ref
3030
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3029
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3028
remove
nil
cons
cons
31
ref
3027
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3026
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
nil
1033
ref
2957
ref
cons
1034
ref
3015
remove
cons
nil
cons
cons
nil
cons
cons
2941
ref
subst
trans
2913
remove
assume
eqMp
nil
3018
remove
78
ref
2944
remove
cons
839
ref
2948
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
2914
ref
cons
78
ref
2916
ref
cons
nil
cons
3035
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
2919
ref
cons
2917
ref
cons
nil
cons
cons
3036
def
49
ref
subst
3036
remove
121
ref
subst
1939
ref
32
ref
2219
ref
2204
ref
2897
ref
appTerm
appTerm
appTerm
13
ref
2909
ref
appTerm
3037
def
2892
ref
2240
ref
2897
ref
appTerm
1941
ref
appTerm
3038
def
appTerm
3039
def
appTerm
appTerm
3040
def
absTerm
3041
def
1941
ref
appTerm
3042
def
betaConv
2171
ref
178
ref
1939
ref
2248
ref
13
ref
2222
ref
2893
remove
2247
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
2892
ref
2249
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3043
def
2897
remove
appTerm
3044
def
betaConv
2254
ref
2892
remove
appTerm
3045
def
betaConv
2257
ref
nil
2258
ref
31
ref
3045
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
608
ref
2259
ref
610
ref
2906
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2252
ref
3043
ref
appTerm
nil
cons
cons
31
ref
3044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2260
ref
2261
ref
3043
remove
nil
cons
cons
2262
ref
2905
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
3041
ref
appTerm
nil
cons
cons
31
ref
3042
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3041
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3040
remove
nil
cons
cons
2917
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
2220
ref
2908
remove
appThm
nil
63
ref
2919
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
2912
ref
assume
eqMp
3046
def
trans
appThm
3037
ref
refl
3039
remove
betaConv
appThm
appThm
nil
63
ref
3037
ref
38
ref
2889
ref
3038
ref
appTerm
appTerm
1792
ref
3038
ref
appTerm
appTerm
3047
def
appTerm
3048
def
nil
cons
3049
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
80
ref
596
ref
3046
ref
appThm
2910
remove
appThm
2921
remove
749
ref
subst
trans
appThm
2911
ref
appThm
appThm
sym
nil
30
ref
3049
ref
cons
31
ref
3037
remove
2891
ref
appTerm
nil
cons
3050
def
cons
nil
cons
cons
nil
cons
cons
3051
def
49
ref
subst
3051
remove
121
ref
subst
13
ref
"_29252"
1
ref
var
3052
def
13
ref
3052
remove
varTerm
appTerm
2891
ref
appTerm
absTerm
3053
def
2909
remove
appTerm
3054
def
appTerm
refl
3053
ref
3047
ref
appTerm
betaConv
appThm
80
ref
3054
remove
betaConv
appThm
13
ref
3047
remove
appTerm
2891
ref
appTerm
3055
def
refl
3056
def
appThm
trans
3053
remove
refl
3048
remove
assume
appThm
eqMp
sym
1939
ref
32
ref
2912
ref
appTerm
242
ref
3038
ref
appTerm
3057
def
2277
ref
appTerm
appTerm
3058
def
absTerm
3059
def
1941
ref
appTerm
3060
def
betaConv
2282
ref
2896
remove
appTerm
3061
def
betaConv
2287
ref
nil
2288
ref
31
ref
3061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2289
ref
184
ref
2907
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
3059
ref
appTerm
nil
cons
cons
31
ref
3060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3059
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3058
remove
nil
cons
cons
31
ref
3055
remove
nil
cons
3062
def
cons
nil
cons
3063
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
3046
remove
appThm
3057
ref
refl
2300
ref
appThm
appThm
nil
63
ref
3057
remove
1941
ref
appTerm
3064
def
nil
cons
3065
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
3056
remove
appThm
sym
nil
30
ref
3065
ref
cons
3063
remove
cons
nil
cons
cons
3066
def
49
ref
subst
3066
remove
121
ref
subst
13
ref
"_29254"
162
ref
var
3067
def
13
ref
38
ref
2889
ref
3067
remove
varTerm
3068
def
appTerm
appTerm
1792
ref
3068
remove
appTerm
appTerm
appTerm
2891
ref
appTerm
absTerm
3069
def
3038
remove
appTerm
3070
def
appTerm
refl
3069
ref
1941
ref
appTerm
betaConv
appThm
80
ref
3070
remove
betaConv
appThm
13
ref
2891
ref
appTerm
2891
ref
appTerm
refl
appThm
trans
3069
remove
refl
3064
remove
assume
appThm
eqMp
sym
2911
ref
eqMp
eqMp
nil
76
ref
3065
remove
cons
78
ref
3062
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
3049
remove
cons
78
ref
3050
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
2920
ref
3035
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
2912
remove
appTerm
3071
def
betaConv
833
ref
nil
834
ref
31
ref
3071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
2919
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
2920
remove
78
ref
2914
remove
cons
839
ref
2916
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
3072
def
subst
596
ref
2336
ref
appThm
1953
ref
refl
3073
def
appThm
2967
ref
1318
ref
subst
3074
def
trans
trans
appThm
2336
ref
appThm
653
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1939
ref
13
ref
1791
ref
2883
ref
appTerm
1941
ref
appTerm
appTerm
2316
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
2886
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
166
ref
442
ref
2883
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
163
ref
32
ref
178
ref
1939
ref
13
ref
2890
ref
appTerm
3075
def
1953
ref
appTerm
absTerm
appTerm
appTerm
696
ref
appTerm
absTerm
3076
def
170
ref
appTerm
3077
def
betaConv
442
ref
178
ref
3076
ref
appTerm
3078
def
absTerm
3079
def
445
ref
appTerm
3080
def
betaConv
257
ref
442
ref
257
ref
163
ref
200
ref
257
ref
1939
ref
nil
774
ref
2924
ref
cons
153
ref
2926
ref
cons
nil
cons
cons
nil
cons
cons
1906
remove
subst
absThm
appThm
appThm
nil
479
ref
185
ref
cons
459
ref
cons
nil
cons
cons
273
ref
1905
remove
subst
3081
def
subst
appThm
absThm
appThm
absThm
appThm
sym
596
ref
257
ref
163
ref
200
ref
257
ref
1939
ref
1954
ref
refl
2336
ref
appThm
2967
ref
1323
ref
subst
trans
absThm
appThm
nil
30
ref
178
ref
1939
ref
2947
ref
absTerm
appTerm
3082
def
nil
cons
3083
def
cons
31
ref
668
ref
cons
nil
cons
cons
nil
cons
cons
222
ref
subst
163
ref
32
ref
3082
ref
appTerm
412
ref
appTerm
3084
def
absTerm
3085
def
170
ref
appTerm
3086
def
betaConv
3087
def
596
ref
32
ref
2332
ref
appTerm
3088
def
refl
820
ref
appThm
nil
63
ref
2333
remove
cons
nil
cons
nil
cons
cons
63
ref
13
ref
2557
remove
55
ref
appTerm
appTerm
55
ref
appTerm
absTerm
3089
def
65
ref
appTerm
3090
def
betaConv
nil
150
ref
3089
ref
appTerm
3091
def
axiom
nil
30
ref
3091
remove
nil
cons
cons
31
ref
3090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3089
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3092
def
subst
trans
appThm
1082
ref
887
ref
257
ref
1135
ref
32
ref
32
ref
178
ref
1939
ref
160
ref
1791
ref
1138
ref
appTerm
1941
ref
appTerm
3093
def
appTerm
3094
def
absTerm
3095
def
appTerm
3096
def
appTerm
1147
ref
appTerm
3097
def
appTerm
3098
def
refl
32
ref
178
ref
1939
ref
160
ref
1791
ref
1139
ref
appTerm
3099
def
1941
ref
appTerm
3100
def
appTerm
absTerm
3101
def
appTerm
3102
def
appTerm
3103
def
refl
1620
ref
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
63
ref
150
ref
887
ref
178
ref
1135
ref
3098
ref
3103
ref
1148
remove
appTerm
3104
def
appTerm
3105
def
absTerm
3106
def
appTerm
3107
def
absTerm
3108
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
3108
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
3107
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
3106
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
3105
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3097
ref
nil
cons
3109
def
cons
31
ref
3104
remove
nil
cons
3110
def
cons
nil
cons
cons
nil
cons
cons
3111
def
49
ref
subst
3111
remove
121
ref
subst
nil
30
ref
3102
remove
nil
cons
3112
def
cons
3113
def
31
ref
1618
ref
cons
nil
cons
cons
nil
cons
cons
3114
def
49
ref
subst
3114
remove
121
ref
subst
nil
76
ref
1016
ref
cons
3115
def
nil
cons
nil
cons
cons
224
remove
sym
subst
nil
30
ref
1016
remove
cons
199
ref
cons
nil
cons
cons
3116
def
49
ref
subst
3116
remove
121
ref
subst
3101
ref
164
ref
appTerm
3117
def
betaConv
nil
3113
ref
31
ref
3117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
3101
ref
nil
cons
cons
3118
def
480
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
160
ref
3099
ref
164
ref
appTerm
3119
def
appTerm
nil
cons
3120
def
cons
199
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
63
ref
3120
remove
cons
nil
cons
nil
cons
cons
2971
ref
subst
nil
63
ref
3119
remove
nil
cons
cons
nil
cons
nil
cons
cons
1328
ref
subst
1341
ref
2161
ref
subst
1329
ref
1024
ref
69
ref
subst
969
ref
assume
eqMp
trans
trans
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
3115
remove
78
ref
198
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
1145
remove
nil
cons
3121
def
cons
31
ref
1147
ref
nil
cons
3122
def
cons
nil
cons
3123
def
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
3095
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3094
ref
nil
cons
3124
def
cons
nil
cons
nil
cons
cons
3125
def
69
ref
subst
3101
remove
1942
ref
appTerm
3126
def
betaConv
nil
3113
remove
31
ref
3126
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
3118
remove
184
ref
1951
remove
cons
nil
cons
3127
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
160
ref
3099
remove
1942
ref
appTerm
appTerm
nil
cons
cons
31
ref
3124
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
161
ref
1341
ref
2157
ref
subst
2314
ref
1603
ref
appThm
2235
ref
appThm
trans
appThm
appThm
3094
remove
refl
appThm
3125
remove
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
3096
remove
nil
cons
cons
3123
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
3097
remove
assume
eqMp
eqMp
eqMp
nil
76
ref
3112
remove
cons
78
ref
1618
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
3109
remove
cons
78
ref
3110
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3088
remove
551
ref
appTerm
appTerm
150
ref
887
ref
178
ref
1135
ref
3098
remove
3103
remove
1141
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
31
ref
178
ref
3085
ref
appTerm
3128
def
nil
cons
3129
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3085
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
3085
ref
1138
ref
appTerm
betaConv
appThm
3085
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
3087
remove
absThm
appThm
appThm
nil
597
ref
3085
remove
nil
cons
3130
def
cons
nil
cons
nil
cons
cons
nil
30
ref
601
remove
150
ref
887
ref
178
ref
1135
ref
32
ref
599
ref
1138
ref
appTerm
3131
def
appTerm
599
ref
1139
ref
appTerm
3132
def
appTerm
absTerm
3133
def
appTerm
3134
def
absTerm
3135
def
appTerm
3136
def
appTerm
3137
def
nil
cons
3138
def
cons
2787
remove
cons
nil
cons
cons
3139
def
49
ref
subst
3139
remove
121
ref
subst
nil
2790
remove
78
ref
3136
remove
nil
cons
3140
def
cons
nil
cons
cons
nil
cons
cons
3141
def
92
ref
subst
3141
remove
221
ref
subst
nil
2800
remove
31
ref
2791
remove
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
nil
2811
remove
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2781
ref
nil
cons
3142
def
cons
nil
cons
nil
cons
cons
69
ref
subst
887
ref
1531
ref
1135
ref
411
ref
1139
ref
appTerm
3143
def
absTerm
3144
def
appTerm
3145
def
absTerm
3146
def
171
ref
appTerm
betaConv
sym
1135
ref
411
ref
2578
ref
1138
ref
appTerm
appTerm
absTerm
3147
def
389
ref
appTerm
betaConv
sym
2748
remove
eqMp
182
ref
183
ref
3147
remove
nil
cons
cons
2752
remove
cons
nil
cons
cons
1530
ref
subst
proveHyp
eqMp
136
ref
152
ref
3146
ref
nil
cons
cons
3148
def
2749
ref
cons
nil
cons
cons
1530
ref
subst
proveHyp
3149
def
nil
30
ref
1614
ref
3146
ref
appTerm
3150
def
nil
cons
3151
def
cons
3152
def
31
ref
3142
ref
cons
nil
cons
3153
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
152
ref
887
ref
32
ref
3146
ref
969
ref
appTerm
3154
def
appTerm
2781
ref
appTerm
3155
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
3155
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3154
ref
nil
cons
3156
def
cons
3153
ref
cons
nil
cons
cons
3157
def
49
ref
subst
3157
remove
121
ref
subst
3154
ref
betaConv
3154
remove
assume
eqMp
nil
30
ref
3145
ref
nil
cons
cons
3153
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
1135
ref
32
ref
3144
ref
1138
ref
appTerm
3158
def
appTerm
2781
ref
appTerm
3159
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
3159
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3158
ref
nil
cons
3160
def
cons
3153
ref
cons
nil
cons
cons
3161
def
49
ref
subst
3161
remove
121
ref
subst
3158
ref
betaConv
3158
remove
assume
eqMp
nil
30
ref
3143
ref
nil
cons
3162
def
cons
3153
remove
cons
nil
cons
cons
3163
def
101
ref
subst
proveHyp
3163
ref
49
ref
subst
3163
remove
121
ref
subst
13
ref
"_29045"
162
ref
var
3164
def
32
ref
38
ref
160
ref
242
ref
3164
remove
varTerm
3165
def
appTerm
164
ref
appTerm
appTerm
appTerm
599
ref
388
ref
3165
ref
appTerm
appTerm
appTerm
appTerm
599
ref
3165
remove
appTerm
appTerm
absTerm
3166
def
170
ref
appTerm
appTerm
refl
3166
remove
1139
ref
appTerm
betaConv
appThm
80
ref
2810
remove
appThm
32
ref
38
ref
160
ref
1141
remove
appTerm
3167
def
appTerm
3168
def
599
remove
388
ref
1139
ref
appTerm
3169
def
appTerm
appTerm
appTerm
3132
ref
appTerm
refl
appThm
trans
2782
remove
refl
3143
ref
assume
appThm
eqMp
sym
200
ref
3168
ref
refl
2808
remove
1603
ref
appThm
appThm
appThm
3132
ref
refl
appThm
sym
nil
30
ref
3168
remove
3131
ref
appTerm
nil
cons
3170
def
cons
31
ref
3132
remove
nil
cons
3171
def
cons
nil
cons
3172
def
cons
nil
cons
cons
3173
def
49
ref
subst
3173
remove
121
ref
subst
nil
76
ref
3167
remove
nil
cons
cons
78
ref
3131
remove
nil
cons
3174
def
cons
nil
cons
cons
nil
cons
cons
221
ref
subst
nil
30
ref
3174
remove
cons
3172
remove
cons
nil
cons
cons
101
ref
subst
3133
ref
1138
ref
appTerm
3175
def
betaConv
3135
ref
969
ref
appTerm
3176
def
betaConv
nil
30
ref
3140
remove
cons
31
ref
3176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
136
ref
152
ref
3135
remove
nil
cons
cons
1017
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3134
remove
nil
cons
cons
31
ref
3175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3133
remove
nil
cons
cons
1169
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
76
ref
3170
remove
cons
78
ref
3171
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
3162
remove
cons
78
ref
3142
remove
cons
nil
cons
3177
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
3160
remove
cons
3177
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
3144
ref
1909
ref
appTerm
appTerm
2781
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
3145
remove
appTerm
2781
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3144
remove
nil
cons
cons
3177
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
3156
remove
cons
3177
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
150
ref
153
ref
32
ref
3146
ref
153
ref
varTerm
3178
def
appTerm
appTerm
3179
def
2781
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
3150
ref
appTerm
3180
def
2781
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
3148
ref
3177
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
2788
remove
101
ref
subst
proveHyp
2847
ref
eqMp
proveHyp
proveHyp
eqMp
nil
76
ref
3138
remove
cons
2845
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
3181
def
subst
eqMp
eqMp
3182
def
nil
30
ref
3129
remove
cons
31
ref
3086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3130
remove
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3084
remove
nil
cons
cons
31
ref
32
ref
412
ref
appTerm
3183
def
3082
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
817
ref
31
ref
3083
ref
cons
nil
cons
cons
nil
cons
cons
3184
def
49
ref
subst
3184
remove
121
ref
subst
13
ref
"_29122"
162
ref
var
3185
def
178
ref
1939
ref
160
ref
1791
ref
3185
remove
varTerm
appTerm
1941
ref
appTerm
appTerm
absTerm
appTerm
absTerm
3186
def
170
ref
appTerm
3187
def
appTerm
refl
3186
ref
164
ref
appTerm
betaConv
appThm
80
ref
3187
remove
betaConv
appThm
2332
remove
refl
appThm
trans
3186
remove
refl
819
ref
appThm
eqMp
sym
2335
remove
eqMp
eqMp
nil
669
ref
78
ref
3083
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
3188
def
trans
appThm
871
ref
appThm
nil
63
ref
668
ref
cons
nil
cons
nil
cons
cons
3189
def
2562
ref
subst
trans
absThm
appThm
278
ref
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
3093
remove
appTerm
absTerm
appTerm
appTerm
411
ref
1138
ref
appTerm
appTerm
absTerm
appTerm
appTerm
3190
def
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
3100
remove
appTerm
absTerm
appTerm
appTerm
3143
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3191
def
refl
appThm
nil
63
ref
3191
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1187
ref
178
ref
1135
ref
3190
remove
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
1791
ref
1195
remove
1138
ref
appTerm
3192
def
appTerm
1941
ref
appTerm
appTerm
absTerm
appTerm
appTerm
411
ref
3192
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
3193
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
3193
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
301
ref
32
ref
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
1791
ref
1196
ref
appTerm
3194
def
1941
ref
appTerm
3195
def
appTerm
absTerm
appTerm
appTerm
411
ref
1196
ref
appTerm
appTerm
absTerm
3196
def
appTerm
3197
def
appTerm
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
1791
ref
1197
ref
appTerm
3198
def
1941
ref
appTerm
3199
def
appTerm
absTerm
appTerm
appTerm
411
ref
1197
ref
appTerm
appTerm
3200
def
absTerm
3201
def
appTerm
3202
def
appTerm
3203
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
3203
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3197
remove
nil
cons
3204
def
cons
3205
def
31
ref
3202
remove
nil
cons
3206
def
cons
nil
cons
cons
nil
cons
cons
3207
def
49
ref
subst
3207
remove
121
ref
subst
nil
183
ref
3201
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3200
ref
nil
cons
3208
def
cons
nil
cons
nil
cons
cons
69
ref
subst
3149
ref
nil
3152
remove
31
ref
3208
ref
cons
nil
cons
3209
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
152
ref
1188
ref
32
ref
3146
remove
1190
ref
appTerm
3210
def
appTerm
3200
ref
appTerm
3211
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
3211
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3210
ref
nil
cons
3212
def
cons
3209
ref
cons
nil
cons
cons
3213
def
49
ref
subst
3213
remove
121
ref
subst
3210
ref
betaConv
3210
remove
assume
eqMp
nil
30
ref
1531
ref
1135
ref
411
ref
1191
ref
1138
ref
appTerm
3214
def
appTerm
absTerm
3215
def
appTerm
3216
def
nil
cons
cons
3209
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
303
ref
32
ref
3215
ref
1192
ref
appTerm
3217
def
appTerm
3200
ref
appTerm
3218
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
3218
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3217
ref
nil
cons
3219
def
cons
3209
ref
cons
nil
cons
cons
3220
def
49
ref
subst
3220
remove
121
ref
subst
3217
ref
betaConv
3217
remove
assume
eqMp
nil
30
ref
411
ref
1193
ref
appTerm
3221
def
nil
cons
3222
def
cons
3209
remove
cons
nil
cons
cons
3223
def
101
ref
subst
proveHyp
3223
ref
49
ref
subst
3223
remove
121
ref
subst
13
ref
"_29124"
162
ref
var
3224
def
32
ref
178
ref
1939
ref
13
ref
1791
ref
3224
remove
varTerm
3225
def
appTerm
1941
ref
appTerm
appTerm
3199
ref
appTerm
absTerm
appTerm
appTerm
242
ref
3225
remove
appTerm
1197
ref
appTerm
appTerm
absTerm
3226
def
170
ref
appTerm
3227
def
appTerm
refl
3226
remove
1193
ref
appTerm
betaConv
appThm
80
ref
3227
remove
betaConv
appThm
32
ref
178
ref
1939
ref
13
ref
1791
ref
1193
ref
appTerm
3228
def
1941
ref
appTerm
3229
def
appTerm
3199
ref
appTerm
absTerm
3230
def
appTerm
3231
def
appTerm
1198
ref
appTerm
refl
appThm
trans
3201
remove
refl
3221
remove
assume
appThm
eqMp
sym
nil
30
ref
3231
remove
nil
cons
3232
def
cons
3233
def
1606
remove
cons
nil
cons
cons
3234
def
49
ref
subst
3234
remove
121
ref
subst
1612
ref
sym
3230
ref
164
ref
appTerm
3235
def
betaConv
nil
3233
ref
31
ref
3235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
3230
ref
nil
cons
cons
3236
def
480
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
13
ref
3228
ref
164
ref
appTerm
3237
def
appTerm
3198
ref
164
ref
appTerm
3238
def
appTerm
nil
cons
cons
31
ref
1337
ref
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
80
ref
nil
163
ref
1193
ref
nil
cons
3239
def
cons
3240
def
nil
cons
3241
def
nil
cons
cons
3242
def
2161
ref
subst
1330
remove
trans
3243
def
appThm
nil
163
ref
1197
ref
nil
cons
3244
def
cons
3245
def
nil
cons
3246
def
nil
cons
cons
3247
def
2161
ref
subst
1336
remove
trans
3248
def
appThm
appThm
1201
remove
refl
appThm
nil
63
ref
1337
remove
cons
nil
cons
nil
cons
cons
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
1340
remove
proveHyp
nil
183
ref
1939
ref
13
ref
1791
ref
1192
ref
appTerm
3249
def
1941
ref
appTerm
appTerm
3195
remove
appTerm
3250
def
absTerm
3251
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3250
ref
nil
cons
3252
def
cons
nil
cons
nil
cons
cons
3253
def
69
ref
subst
3230
remove
1942
ref
appTerm
3254
def
betaConv
nil
3233
remove
31
ref
3254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
3236
remove
3127
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
13
ref
3228
ref
1942
ref
appTerm
appTerm
3198
ref
1942
ref
appTerm
appTerm
nil
cons
cons
31
ref
3252
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
80
ref
3242
ref
2157
ref
subst
2314
ref
1604
remove
appThm
3255
def
2235
ref
appThm
trans
appThm
3247
remove
2157
ref
subst
2314
ref
1605
remove
appThm
3256
def
2235
ref
appThm
trans
appThm
appThm
3250
remove
refl
appThm
3253
remove
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
3251
remove
appTerm
nil
cons
cons
1339
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
1208
ref
cons
3257
def
nil
cons
3258
def
nil
cons
cons
3196
ref
170
ref
appTerm
3259
def
betaConv
nil
3205
remove
31
ref
3259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
3196
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
3232
remove
cons
1611
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
3222
remove
cons
78
ref
3208
remove
cons
nil
cons
3260
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
3219
remove
cons
3260
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
3215
ref
1909
ref
appTerm
appTerm
3200
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
3216
remove
appTerm
3200
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3215
remove
nil
cons
cons
3260
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
3212
remove
cons
3260
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
150
ref
153
ref
3179
remove
3200
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
3180
remove
3200
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
3148
remove
3260
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
3204
remove
cons
78
ref
3206
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
2316
ref
appTerm
absTerm
appTerm
appTerm
412
ref
appTerm
absTerm
appTerm
appTerm
3191
remove
appTerm
nil
cons
cons
31
ref
178
ref
442
ref
178
ref
163
ref
32
ref
178
ref
1939
ref
1954
ref
2890
ref
appTerm
absTerm
appTerm
appTerm
411
ref
445
ref
appTerm
appTerm
absTerm
appTerm
absTerm
3261
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3261
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
3261
ref
1138
ref
appTerm
betaConv
appThm
3261
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
442
ref
3261
ref
445
ref
appTerm
betaConv
absThm
appThm
appThm
nil
597
ref
3261
remove
nil
cons
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
eqMp
3262
def
nil
30
ref
178
ref
3079
ref
appTerm
3263
def
nil
cons
cons
31
ref
3080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3079
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3078
remove
nil
cons
cons
31
ref
3077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3076
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3264
def
subst
eqMp
3265
def
eqMp
absThm
eqMp
3266
def
nil
178
ref
2885
remove
appTerm
thm
257
ref
163
ref
387
ref
nil
166
ref
765
ref
cons
nil
cons
cons
3267
def
nil
183
ref
1939
ref
13
ref
1791
ref
2887
ref
appTerm
1941
ref
appTerm
appTerm
3268
def
1791
ref
2882
ref
170
ref
appTerm
3269
def
445
ref
appTerm
3270
def
appTerm
1941
ref
appTerm
appTerm
3271
def
absTerm
3272
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3271
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
3072
ref
appThm
nil
163
ref
458
ref
cons
3273
def
765
ref
cons
nil
cons
cons
3274
def
3072
ref
subst
appThm
sym
2927
ref
1033
ref
13
ref
2930
remove
appTerm
38
ref
2929
ref
appTerm
2928
ref
appTerm
appTerm
absTerm
3275
def
2929
ref
appTerm
3276
def
betaConv
1034
ref
150
ref
3275
ref
appTerm
3277
def
absTerm
3278
def
2928
ref
appTerm
3279
def
betaConv
nil
150
ref
3278
ref
appTerm
3280
def
axiom
nil
30
ref
3280
remove
nil
cons
cons
31
ref
3279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3278
remove
nil
cons
cons
2939
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3277
remove
nil
cons
cons
31
ref
3276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3275
remove
nil
cons
cons
2940
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
3272
remove
appTerm
nil
cons
cons
31
ref
2888
remove
3270
ref
appTerm
3281
def
nil
cons
3282
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
3270
remove
nil
cons
cons
442
ref
2887
ref
nil
cons
3283
def
cons
nil
cons
3284
def
cons
nil
cons
cons
3264
ref
subst
eqMp
3285
def
subst
appThm
402
ref
appThm
absThm
appThm
sym
3266
remove
eqMp
3286
def
nil
178
ref
163
ref
242
ref
3269
ref
164
ref
appTerm
appTerm
164
ref
appTerm
absTerm
3287
def
appTerm
3288
def
thm
nil
183
ref
163
ref
242
ref
3269
ref
170
ref
appTerm
3289
def
appTerm
170
ref
appTerm
3290
def
absTerm
3291
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3290
remove
nil
cons
3292
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
3289
ref
appTerm
1941
ref
appTerm
appTerm
1953
ref
appTerm
absTerm
3293
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
80
ref
2550
ref
3072
ref
subst
2967
ref
63
ref
13
ref
38
ref
65
ref
appTerm
3294
def
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
3295
def
65
ref
appTerm
3296
def
betaConv
nil
150
ref
3295
ref
appTerm
3297
def
axiom
nil
30
ref
3297
remove
nil
cons
cons
31
ref
3296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3295
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
3073
ref
appThm
nil
153
ref
2924
ref
cons
nil
cons
3298
def
nil
cons
cons
269
ref
subst
3299
def
trans
absThm
eqMp
nil
30
ref
178
ref
3293
remove
appTerm
nil
cons
cons
31
ref
3292
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
442
ref
3289
remove
nil
cons
cons
nil
cons
nil
cons
cons
3264
ref
subst
eqMp
eqMp
absThm
eqMp
nil
178
ref
3291
remove
appTerm
thm
257
ref
163
ref
387
ref
383
remove
appThm
401
ref
appThm
2036
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
334
remove
6
ref
appTerm
170
ref
appTerm
appTerm
170
ref
appTerm
absTerm
appTerm
thm
2765
remove
nil
30
ref
242
ref
2764
ref
164
ref
appTerm
appTerm
164
ref
appTerm
3300
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
242
ref
2764
ref
525
ref
appTerm
appTerm
164
ref
appTerm
3301
def
appTerm
242
ref
2764
remove
553
ref
appTerm
appTerm
164
ref
appTerm
3302
def
appTerm
3303
def
absTerm
3304
def
appTerm
3305
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
3304
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
3303
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3301
ref
nil
cons
3306
def
cons
31
ref
3302
remove
nil
cons
3307
def
cons
nil
cons
cons
nil
cons
cons
3308
def
49
ref
subst
3308
remove
121
ref
subst
167
ref
2753
ref
subst
1609
ref
234
ref
appThm
2456
ref
refl
3309
def
461
ref
appThm
1806
ref
appThm
3301
ref
assume
trans
appThm
1185
remove
trans
trans
eqMp
nil
76
ref
3306
remove
cons
78
ref
3307
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3300
remove
appTerm
3305
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
3301
remove
absTerm
3310
def
appTerm
3311
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3310
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
3310
ref
525
ref
appTerm
betaConv
3312
def
appThm
3310
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
3312
remove
absThm
appThm
appThm
nil
597
ref
3310
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
3311
remove
thm
nil
183
ref
163
ref
2547
remove
absTerm
3313
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
2556
remove
69
ref
subst
2563
ref
eqMp
absThm
eqMp
nil
178
ref
3313
remove
appTerm
thm
nil
183
ref
163
ref
242
ref
"Number.Natural.Bits.or"
const
292
ref
constTerm
3314
def
164
ref
appTerm
170
ref
appTerm
3315
def
appTerm
170
ref
appTerm
3316
def
absTerm
3317
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3316
remove
nil
cons
3318
def
cons
nil
cons
nil
cons
cons
69
ref
subst
257
ref
1939
ref
80
ref
1819
ref
80
ref
2314
ref
163
ref
242
ref
3314
ref
445
ref
appTerm
170
ref
appTerm
3319
def
appTerm
3320
def
331
ref
1790
remove
1939
ref
19
ref
2890
ref
appTerm
1953
ref
appTerm
3321
def
absTerm
3322
def
appTerm
3323
def
1796
remove
"Number.Natural.max"
const
292
remove
constTerm
3324
def
2895
ref
appTerm
464
ref
appTerm
3325
def
appTerm
3326
def
appTerm
3327
def
appTerm
appTerm
absTerm
3328
def
170
ref
appTerm
3329
def
betaConv
442
ref
178
ref
3328
ref
appTerm
3330
def
absTerm
3331
def
445
ref
appTerm
3332
def
betaConv
nil
178
ref
3331
ref
appTerm
3333
def
axiom
nil
30
ref
3333
remove
nil
cons
cons
31
ref
3332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3331
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3330
remove
nil
cons
cons
31
ref
3329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3328
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
2235
ref
appThm
nil
4
ref
3327
ref
nil
cons
cons
nil
cons
nil
cons
cons
2433
ref
subst
596
ref
2220
ref
nil
2171
ref
3326
ref
nil
cons
3334
def
cons
1826
remove
3322
ref
nil
cons
3335
def
cons
nil
cons
cons
nil
cons
cons
2203
remove
subst
nil
163
ref
3325
ref
nil
cons
3336
def
cons
3337
def
444
ref
cons
nil
cons
cons
2211
remove
subst
3338
def
trans
appThm
appThm
2222
ref
3327
remove
appTerm
1941
ref
appTerm
3339
def
refl
3340
def
appThm
trans
trans
appThm
3321
ref
refl
3341
def
appThm
sym
nil
30
ref
160
ref
2219
ref
3325
ref
appTerm
3342
def
appTerm
nil
cons
3343
def
cons
3344
def
31
ref
13
ref
38
ref
3342
ref
appTerm
3339
ref
appTerm
appTerm
3321
ref
appTerm
nil
cons
3345
def
cons
nil
cons
3346
def
cons
nil
cons
cons
3347
def
49
ref
subst
3347
remove
121
ref
subst
80
ref
596
ref
nil
3344
ref
31
ref
13
ref
3342
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
3342
ref
nil
cons
3348
def
cons
3349
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
3340
ref
appThm
nil
63
ref
3339
ref
nil
cons
cons
nil
cons
nil
cons
cons
3350
def
1318
ref
subst
trans
appThm
3341
ref
appThm
nil
63
ref
3321
ref
nil
cons
3351
def
cons
nil
cons
nil
cons
cons
3352
def
652
ref
subst
2927
ref
1033
ref
13
ref
160
ref
19
ref
2928
ref
appTerm
2929
ref
appTerm
3353
def
appTerm
appTerm
38
ref
2931
ref
appTerm
2932
ref
appTerm
appTerm
absTerm
3354
def
2929
ref
appTerm
3355
def
betaConv
1034
ref
150
ref
3354
ref
appTerm
3356
def
absTerm
3357
def
2928
ref
appTerm
3358
def
betaConv
nil
150
ref
3357
ref
appTerm
3359
def
axiom
nil
30
ref
3359
remove
nil
cons
cons
31
ref
3358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3357
remove
nil
cons
cons
2939
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3356
remove
nil
cons
cons
31
ref
3355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3354
remove
nil
cons
cons
2940
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3360
def
subst
trans
trans
sym
nil
3344
remove
31
ref
38
ref
2946
ref
appTerm
2947
ref
appTerm
3361
def
nil
cons
3362
def
cons
nil
cons
3363
def
cons
nil
cons
cons
101
ref
subst
200
ref
nil
3337
remove
2338
ref
cons
nil
cons
cons
163
ref
13
ref
160
ref
447
ref
appTerm
3364
def
appTerm
"Number.Natural.<="
const
241
ref
constTerm
3365
def
170
ref
appTerm
3366
def
445
ref
appTerm
3367
def
appTerm
3368
def
absTerm
3369
def
170
ref
appTerm
3370
def
betaConv
442
ref
178
ref
3369
ref
appTerm
3371
def
absTerm
3372
def
445
ref
appTerm
3373
def
betaConv
nil
178
ref
3372
ref
appTerm
3374
def
axiom
3375
def
nil
30
ref
3374
remove
nil
cons
cons
31
ref
3373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3372
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3371
remove
nil
cons
cons
31
ref
3370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3369
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3376
def
subst
nil
2337
remove
3019
remove
3021
remove
nil
cons
cons
cons
nil
cons
cons
687
ref
13
ref
3365
ref
3324
ref
170
ref
appTerm
691
ref
appTerm
appTerm
445
ref
appTerm
3377
def
appTerm
38
ref
3367
ref
appTerm
3378
def
3365
ref
691
ref
appTerm
445
ref
appTerm
appTerm
3379
def
appTerm
3380
def
absTerm
3381
def
691
ref
appTerm
3382
def
betaConv
163
ref
178
ref
3381
ref
appTerm
3383
def
absTerm
3384
def
170
ref
appTerm
3385
def
betaConv
442
ref
178
ref
3384
ref
appTerm
3386
def
absTerm
3387
def
445
ref
appTerm
3388
def
betaConv
nil
178
ref
3387
ref
appTerm
3389
def
axiom
3390
def
nil
30
ref
3389
remove
nil
cons
cons
31
ref
3388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3387
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3386
remove
nil
cons
cons
31
ref
3385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3384
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3383
remove
nil
cons
cons
31
ref
3382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3381
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3391
def
subst
trans
appThm
3361
ref
refl
3392
def
appThm
sym
nil
30
ref
38
ref
3365
ref
2895
ref
appTerm
3393
def
1941
ref
appTerm
3394
def
appTerm
3365
ref
464
ref
appTerm
3395
def
1941
ref
appTerm
3396
def
appTerm
nil
cons
3397
def
cons
3363
ref
cons
nil
cons
cons
3398
def
49
ref
subst
3398
remove
121
ref
subst
nil
76
ref
3394
ref
nil
cons
3399
def
cons
78
ref
3396
ref
nil
cons
3400
def
cons
nil
cons
cons
nil
cons
cons
3401
def
92
ref
subst
3401
remove
221
ref
subst
3012
remove
nil
3013
remove
3363
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
2960
remove
nil
2964
remove
31
ref
32
ref
3002
remove
appTerm
3361
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
2966
remove
nil
442
ref
523
ref
cons
3402
def
2293
ref
cons
nil
cons
cons
163
ref
13
ref
717
ref
445
ref
appTerm
3403
def
appTerm
160
ref
3365
ref
445
ref
appTerm
3404
def
170
ref
appTerm
3405
def
appTerm
3406
def
appTerm
3407
def
absTerm
3408
def
170
ref
appTerm
3409
def
betaConv
442
ref
178
ref
3408
ref
appTerm
3410
def
absTerm
3411
def
445
ref
appTerm
3412
def
betaConv
257
ref
442
ref
257
ref
163
ref
3407
remove
assume
sym
13
ref
3406
ref
appTerm
3403
ref
appTerm
3413
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
3413
remove
absTerm
3414
def
appTerm
3415
def
absTerm
3416
def
appTerm
3417
def
axiom
3418
def
eqMp
nil
30
ref
178
ref
3411
ref
appTerm
nil
cons
cons
31
ref
3412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3411
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3410
remove
nil
cons
cons
31
ref
3409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3408
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3419
def
subst
161
ref
nil
63
ref
3400
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3396
remove
assume
eqMp
appThm
1311
ref
trans
trans
appThm
2972
remove
trans
appThm
200
ref
3014
remove
nil
442
ref
3020
ref
cons
3420
def
2293
ref
cons
nil
cons
cons
3419
ref
subst
161
ref
nil
63
ref
3399
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3394
remove
assume
eqMp
appThm
1311
ref
trans
trans
appThm
3017
remove
trans
appThm
3392
remove
appThm
appThm
sym
nil
30
ref
2965
ref
cons
3421
def
31
ref
32
ref
2946
remove
appTerm
3361
remove
appTerm
nil
cons
3422
def
cons
nil
cons
cons
nil
cons
cons
3423
def
49
ref
subst
3423
remove
121
ref
subst
nil
30
ref
2973
remove
cons
3424
def
3363
remove
cons
nil
cons
cons
3425
def
49
ref
subst
3425
remove
121
ref
subst
596
ref
161
ref
nil
3424
remove
31
ref
3075
remove
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
2926
remove
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
appThm
161
ref
nil
3421
remove
31
ref
1954
ref
191
ref
appTerm
3426
def
nil
cons
3427
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
2924
remove
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
appThm
750
ref
trans
sym
68
ref
eqMp
eqMp
nil
2974
remove
78
ref
3362
remove
cons
nil
cons
3428
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
2965
remove
cons
78
ref
3422
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
76
ref
3397
remove
cons
3428
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
3343
ref
cons
78
ref
3345
ref
cons
nil
cons
3429
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
3348
ref
cons
3346
ref
cons
nil
cons
cons
3430
def
49
ref
subst
3430
remove
121
ref
subst
1939
ref
32
ref
2219
ref
2204
remove
3326
ref
appTerm
appTerm
appTerm
13
ref
3339
ref
appTerm
3431
def
3322
ref
2240
remove
3326
ref
appTerm
1941
ref
appTerm
3432
def
appTerm
3433
def
appTerm
appTerm
3434
def
absTerm
3435
def
1941
ref
appTerm
3436
def
betaConv
2171
remove
178
ref
1939
ref
2248
remove
13
ref
2222
ref
3323
remove
2247
remove
appTerm
appTerm
1941
ref
appTerm
appTerm
3322
ref
2249
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3437
def
3326
remove
appTerm
3438
def
betaConv
2254
remove
3322
remove
appTerm
3439
def
betaConv
2257
remove
nil
2258
remove
31
ref
3439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
608
remove
2259
remove
610
remove
3335
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2252
remove
3437
ref
appTerm
nil
cons
cons
31
ref
3438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2260
remove
2261
remove
3437
remove
nil
cons
cons
2262
remove
3334
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
3435
ref
appTerm
nil
cons
cons
31
ref
3436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3435
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3434
remove
nil
cons
cons
3346
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
2220
ref
3338
remove
appThm
nil
63
ref
3348
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
3342
ref
assume
eqMp
3440
def
trans
appThm
3431
ref
refl
3433
remove
betaConv
appThm
appThm
nil
63
ref
3431
ref
19
ref
2889
ref
3432
ref
appTerm
appTerm
1792
ref
3432
ref
appTerm
appTerm
3441
def
appTerm
3442
def
nil
cons
3443
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
80
ref
596
ref
3440
ref
appThm
3340
remove
appThm
3350
remove
749
ref
subst
trans
appThm
3341
ref
appThm
appThm
sym
nil
30
ref
3443
ref
cons
31
ref
3431
remove
3321
ref
appTerm
nil
cons
3444
def
cons
nil
cons
cons
nil
cons
cons
3445
def
49
ref
subst
3445
remove
121
ref
subst
13
ref
"_29270"
1
ref
var
3446
def
13
ref
3446
remove
varTerm
appTerm
3321
ref
appTerm
absTerm
3447
def
3339
remove
appTerm
3448
def
appTerm
refl
3447
ref
3441
ref
appTerm
betaConv
appThm
80
ref
3448
remove
betaConv
appThm
13
ref
3441
remove
appTerm
3321
ref
appTerm
3449
def
refl
3450
def
appThm
trans
3447
remove
refl
3442
remove
assume
appThm
eqMp
sym
1939
ref
32
ref
3342
ref
appTerm
242
ref
3432
ref
appTerm
3451
def
2277
remove
appTerm
appTerm
3452
def
absTerm
3453
def
1941
ref
appTerm
3454
def
betaConv
2282
remove
3325
ref
appTerm
3455
def
betaConv
2287
remove
nil
2288
remove
31
ref
3455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
2289
remove
184
ref
3336
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
3453
ref
appTerm
nil
cons
cons
31
ref
3454
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3453
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3452
remove
nil
cons
cons
31
ref
3449
remove
nil
cons
3456
def
cons
nil
cons
3457
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
3440
remove
appThm
3451
ref
refl
2300
remove
appThm
appThm
nil
63
ref
3451
remove
1941
ref
appTerm
3458
def
nil
cons
3459
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
3450
remove
appThm
sym
nil
30
ref
3459
ref
cons
3457
remove
cons
nil
cons
cons
3460
def
49
ref
subst
3460
remove
121
ref
subst
13
ref
"_29272"
162
ref
var
3461
def
13
ref
19
ref
2889
ref
3461
remove
varTerm
3462
def
appTerm
appTerm
1792
ref
3462
remove
appTerm
appTerm
appTerm
3321
ref
appTerm
absTerm
3463
def
3432
remove
appTerm
3464
def
appTerm
refl
3463
ref
1941
ref
appTerm
betaConv
appThm
80
ref
3464
remove
betaConv
appThm
13
ref
3321
ref
appTerm
3321
ref
appTerm
refl
appThm
trans
3463
remove
refl
3458
remove
assume
appThm
eqMp
sym
3341
ref
eqMp
eqMp
nil
76
ref
3459
remove
cons
78
ref
3456
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
3443
remove
cons
78
ref
3444
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
3349
ref
3429
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
3342
remove
appTerm
3465
def
betaConv
833
ref
nil
834
ref
31
ref
3465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
3348
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
3349
remove
78
ref
3343
remove
cons
839
ref
3345
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
3466
def
subst
134
ref
2336
ref
appThm
3073
ref
appThm
2967
ref
1029
ref
subst
trans
trans
appThm
3073
ref
appThm
3299
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1939
ref
13
ref
1791
ref
3315
ref
appTerm
1941
ref
appTerm
appTerm
1953
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
3318
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
442
ref
3315
ref
nil
cons
3467
def
cons
nil
cons
nil
cons
cons
3264
ref
subst
eqMp
3468
def
eqMp
absThm
eqMp
3469
def
nil
178
ref
3317
remove
appTerm
thm
257
ref
163
ref
387
ref
3267
ref
nil
183
ref
1939
ref
13
ref
1791
ref
3319
ref
appTerm
1941
ref
appTerm
appTerm
3470
def
1791
ref
3314
ref
170
ref
appTerm
3471
def
445
ref
appTerm
3472
def
appTerm
1941
ref
appTerm
appTerm
3473
def
absTerm
3474
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3473
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
3466
ref
appThm
3274
ref
3466
ref
subst
appThm
sym
2927
remove
1033
ref
13
ref
3353
remove
appTerm
19
ref
2929
ref
appTerm
2928
ref
appTerm
appTerm
absTerm
3475
def
2929
ref
appTerm
3476
def
betaConv
1034
ref
150
ref
3475
ref
appTerm
3477
def
absTerm
3478
def
2928
ref
appTerm
3479
def
betaConv
nil
150
ref
3478
ref
appTerm
3480
def
axiom
nil
30
ref
3480
remove
nil
cons
cons
31
ref
3479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3478
remove
nil
cons
cons
2939
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3477
remove
nil
cons
cons
31
ref
3476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3475
remove
nil
cons
cons
2940
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
3474
remove
appTerm
nil
cons
cons
31
ref
3320
ref
3472
ref
appTerm
3481
def
nil
cons
3482
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
3472
remove
nil
cons
cons
442
ref
3319
ref
nil
cons
3483
def
cons
3484
def
nil
cons
3485
def
cons
nil
cons
cons
3264
ref
subst
eqMp
3486
def
subst
appThm
401
ref
appThm
absThm
appThm
sym
3469
remove
eqMp
3487
def
nil
178
ref
163
ref
242
ref
3471
ref
164
ref
appTerm
appTerm
170
ref
appTerm
absTerm
3488
def
appTerm
3489
def
thm
nil
183
ref
163
ref
242
ref
3471
remove
170
ref
appTerm
3490
def
appTerm
170
ref
appTerm
3491
def
absTerm
3492
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3491
remove
nil
cons
3493
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
3490
ref
appTerm
1941
ref
appTerm
appTerm
1953
ref
appTerm
absTerm
3494
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
80
ref
2550
ref
3466
ref
subst
2967
ref
63
ref
13
ref
829
ref
65
ref
appTerm
appTerm
65
ref
appTerm
absTerm
3495
def
65
ref
appTerm
3496
def
betaConv
nil
150
ref
3495
ref
appTerm
3497
def
axiom
nil
30
ref
3497
remove
nil
cons
cons
31
ref
3496
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3495
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
3073
ref
appThm
3299
remove
trans
absThm
eqMp
nil
30
ref
178
ref
3494
remove
appTerm
nil
cons
cons
31
ref
3493
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
442
ref
3490
remove
nil
cons
cons
nil
cons
nil
cons
cons
3264
ref
subst
eqMp
eqMp
absThm
eqMp
nil
178
ref
3492
remove
appTerm
thm
257
ref
522
ref
387
ref
167
ref
2501
ref
subst
nil
442
ref
2057
ref
cons
nil
cons
3498
def
nil
cons
cons
3499
def
1178
remove
subst
trans
3500
def
appThm
402
ref
appThm
820
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
522
ref
242
ref
2469
ref
164
ref
appTerm
525
ref
appTerm
appTerm
164
ref
appTerm
absTerm
appTerm
thm
257
ref
163
ref
387
ref
2554
ref
appThm
3501
def
401
ref
appThm
2036
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
2491
ref
164
ref
appTerm
3502
def
appTerm
3503
def
170
ref
appTerm
absTerm
appTerm
thm
nil
183
ref
522
ref
242
ref
1955
ref
164
ref
appTerm
525
ref
appTerm
appTerm
164
ref
appTerm
3504
def
absTerm
3505
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
3504
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
387
ref
167
ref
2002
ref
subst
appThm
402
ref
appThm
sym
2511
remove
nil
2512
remove
31
ref
242
ref
439
ref
1994
ref
appTerm
appTerm
164
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
2513
remove
nil
cons
cons
163
ref
767
ref
242
ref
439
remove
170
ref
appTerm
appTerm
164
ref
appTerm
appTerm
absTerm
3506
def
170
ref
appTerm
3507
def
betaConv
nil
178
ref
3506
ref
appTerm
3508
def
axiom
nil
30
ref
3508
remove
nil
cons
cons
31
ref
3507
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3506
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
3509
def
eqMp
absThm
eqMp
nil
178
ref
3505
remove
appTerm
thm
257
ref
163
ref
2013
remove
401
ref
appThm
2036
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
2038
remove
170
ref
appTerm
absTerm
appTerm
thm
498
ref
428
ref
870
ref
subst
appThm
516
ref
55
ref
appTerm
6
ref
appTerm
3510
def
refl
3511
def
appThm
sym
498
ref
513
ref
2855
remove
appTerm
6
ref
appTerm
refl
859
ref
282
remove
appThm
2455
remove
1502
remove
appThm
931
remove
trans
appThm
appThm
appThm
3511
ref
appThm
sym
577
remove
387
ref
253
ref
appThm
402
ref
appThm
167
ref
435
remove
subst
3512
def
trans
3513
def
appThm
582
remove
appThm
3511
remove
appThm
nil
588
ref
3510
ref
nil
cons
cons
591
remove
cons
nil
cons
cons
592
remove
subst
trans
eqMp
eqMp
nil
497
ref
500
remove
283
ref
appTerm
appTerm
3510
remove
appTerm
thm
nil
152
ref
284
ref
407
ref
288
ref
appTerm
393
ref
appTerm
3514
def
absTerm
3515
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
3514
remove
nil
cons
3516
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
1258
ref
31
ref
3516
ref
cons
nil
cons
3517
def
cons
nil
cons
cons
3518
def
49
ref
subst
3518
remove
121
ref
subst
13
ref
"_29017"
1
ref
var
3519
def
407
ref
286
ref
3519
remove
varTerm
appTerm
appTerm
393
ref
appTerm
absTerm
3520
def
287
ref
appTerm
3521
def
appTerm
refl
3522
def
3520
ref
191
ref
appTerm
betaConv
appThm
80
ref
3521
remove
betaConv
appThm
3523
def
407
ref
327
ref
appTerm
393
ref
appTerm
refl
appThm
trans
3520
remove
refl
3524
def
1271
ref
appThm
eqMp
sym
407
ref
refl
3525
def
326
ref
appThm
421
ref
appThm
nil
163
ref
423
ref
nil
cons
3526
def
cons
3527
def
444
ref
cons
nil
cons
cons
163
ref
13
ref
446
remove
254
ref
appTerm
3528
def
appTerm
3405
ref
appTerm
3529
def
absTerm
3530
def
170
ref
appTerm
3531
def
betaConv
442
ref
178
ref
3530
ref
appTerm
3532
def
absTerm
3533
def
445
ref
appTerm
3534
def
betaConv
nil
178
ref
3533
ref
appTerm
3535
def
axiom
3536
def
nil
30
ref
3535
remove
nil
cons
cons
31
ref
3534
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3533
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3532
remove
nil
cons
cons
31
ref
3531
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3530
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3537
def
subst
167
ref
nil
63
ref
3366
ref
254
ref
appTerm
3538
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
3538
remove
absTerm
3539
def
170
ref
appTerm
3540
def
betaConv
nil
178
ref
3539
ref
appTerm
3541
def
axiom
nil
30
ref
3541
remove
nil
cons
cons
31
ref
3540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3539
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
subst
3542
def
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1272
ref
78
ref
3516
ref
cons
nil
cons
3543
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
1276
ref
3517
remove
cons
nil
cons
cons
3544
def
49
ref
subst
3544
remove
121
ref
subst
3522
remove
"_29015"
1
ref
var
3545
def
407
ref
286
ref
3545
remove
varTerm
appTerm
appTerm
393
ref
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
3523
remove
407
ref
1280
ref
appTerm
393
ref
appTerm
refl
appThm
trans
3524
remove
1281
ref
appThm
eqMp
sym
3525
ref
1283
remove
1284
ref
253
ref
trans
trans
3546
def
appThm
421
ref
appThm
nil
3527
ref
442
ref
3526
ref
cons
nil
cons
3547
def
cons
nil
cons
cons
3537
ref
subst
nil
3527
ref
nil
cons
nil
cons
cons
nil
63
ref
3366
ref
170
ref
appTerm
3548
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
3548
remove
absTerm
3549
def
170
ref
appTerm
3550
def
betaConv
nil
178
ref
3549
ref
appTerm
3551
def
axiom
nil
30
ref
3551
remove
nil
cons
cons
31
ref
3550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3549
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3552
def
eqMp
3553
def
subst
3554
def
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1286
ref
3543
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1288
ref
nil
1286
ref
1289
ref
839
ref
3516
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
3555
def
absThm
eqMp
nil
150
ref
3515
remove
appTerm
thm
nil
152
ref
284
ref
242
ref
463
ref
288
ref
appTerm
appTerm
288
ref
appTerm
3556
def
absTerm
3557
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
3556
remove
nil
cons
3558
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
1258
ref
31
ref
3558
ref
cons
nil
cons
3559
def
cons
nil
cons
cons
3560
def
49
ref
subst
3560
remove
121
ref
subst
13
ref
"_29021"
1
ref
var
3561
def
242
ref
463
ref
286
ref
3561
remove
varTerm
appTerm
3562
def
appTerm
appTerm
3562
remove
appTerm
absTerm
3563
def
287
ref
appTerm
3564
def
appTerm
refl
3565
def
3563
remove
191
ref
appTerm
betaConv
appThm
80
ref
3564
remove
betaConv
appThm
3566
def
242
ref
463
ref
327
ref
appTerm
appTerm
327
ref
appTerm
refl
appThm
trans
3557
ref
refl
3567
def
1271
ref
appThm
eqMp
sym
387
ref
865
ref
326
ref
appThm
492
ref
trans
appThm
326
ref
appThm
820
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1272
ref
78
ref
3558
ref
cons
nil
cons
3568
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
1276
ref
3559
remove
cons
nil
cons
cons
3569
def
49
ref
subst
3569
remove
121
ref
subst
3565
remove
"_29019"
1
ref
var
3570
def
242
ref
463
ref
286
ref
3570
remove
varTerm
appTerm
3571
def
appTerm
appTerm
3571
remove
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
3566
remove
242
ref
463
ref
1280
ref
appTerm
appTerm
1280
ref
appTerm
refl
appThm
trans
3567
remove
1281
ref
appThm
eqMp
sym
387
ref
865
ref
1285
ref
appThm
2876
ref
trans
appThm
1285
ref
appThm
nil
184
ref
304
ref
cons
nil
cons
3572
def
nil
cons
cons
425
ref
subst
3573
def
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1286
ref
3568
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1288
ref
nil
1286
ref
1289
ref
839
ref
3558
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
3574
def
eqMp
absThm
eqMp
nil
150
ref
3557
remove
appTerm
thm
1082
ref
284
ref
387
ref
1184
ref
appThm
288
ref
refl
3575
def
appThm
nil
184
ref
1179
ref
cons
nil
cons
nil
cons
cons
425
ref
subst
3576
def
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
284
ref
242
ref
342
ref
287
ref
appTerm
3577
def
164
ref
appTerm
appTerm
288
ref
appTerm
absTerm
appTerm
thm
257
ref
163
ref
80
ref
2161
ref
appThm
1313
remove
appThm
2750
remove
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
3578
def
nil
178
ref
163
ref
13
ref
1792
ref
164
ref
appTerm
3579
def
appTerm
171
ref
appTerm
3580
def
absTerm
appTerm
thm
257
ref
163
ref
387
ref
2213
ref
appThm
464
ref
refl
3581
def
appThm
nil
184
ref
523
ref
cons
nil
cons
3582
def
nil
cons
cons
425
ref
subst
3583
def
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
942
ref
501
ref
appTerm
appTerm
464
ref
appTerm
absTerm
appTerm
thm
1769
ref
nil
153
ref
198
ref
cons
nil
cons
3584
def
nil
cons
cons
138
ref
116
ref
892
ref
"Data.List.replicate"
const
3585
def
10
ref
108
ref
10
ref
162
ref
893
remove
cons
opType
nil
cons
cons
opType
constTerm
117
ref
appTerm
3586
def
164
ref
appTerm
appTerm
143
ref
appTerm
absTerm
3587
def
117
ref
appTerm
3588
def
betaConv
nil
111
ref
3587
ref
appTerm
3589
def
axiom
nil
30
ref
3589
remove
nil
cons
cons
31
ref
3588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
3587
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
3590
def
subst
3591
def
appThm
384
ref
trans
nil
30
ref
242
ref
331
ref
3585
remove
10
ref
1
ref
503
remove
cons
opType
constTerm
3592
def
191
ref
appTerm
3593
def
164
ref
appTerm
3594
def
appTerm
appTerm
164
ref
appTerm
3595
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
242
ref
331
ref
3593
ref
525
ref
appTerm
3596
def
appTerm
appTerm
164
ref
appTerm
3597
def
appTerm
242
ref
331
ref
3593
ref
553
ref
appTerm
3598
def
appTerm
appTerm
164
ref
appTerm
3599
def
appTerm
3600
def
absTerm
3601
def
appTerm
3602
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
3601
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
3600
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3597
ref
nil
cons
3603
def
cons
31
ref
3599
remove
nil
cons
3604
def
cons
nil
cons
cons
nil
cons
cons
3605
def
49
ref
subst
3605
remove
121
ref
subst
387
ref
1769
ref
nil
578
ref
3584
remove
cons
nil
cons
cons
138
ref
163
ref
892
ref
3586
ref
254
ref
appTerm
appTerm
1020
remove
3586
remove
170
ref
appTerm
3606
def
appTerm
appTerm
absTerm
3607
def
170
ref
appTerm
3608
def
betaConv
116
ref
178
ref
3607
ref
appTerm
3609
def
absTerm
3610
def
117
ref
appTerm
3611
def
betaConv
nil
111
ref
3610
ref
appTerm
3612
def
axiom
nil
30
ref
3612
remove
nil
cons
cons
31
ref
3611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
3610
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3609
remove
nil
cons
cons
31
ref
3608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3607
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
3613
def
subst
3614
def
appThm
appThm
402
ref
appThm
nil
886
ref
3596
ref
nil
cons
3615
def
cons
2618
ref
cons
nil
cons
cons
1622
ref
subst
1666
ref
387
ref
3597
ref
assume
appThm
402
ref
appThm
820
ref
trans
appThm
750
ref
trans
trans
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
3603
remove
cons
78
ref
3604
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3595
remove
appTerm
3602
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
3597
remove
absTerm
3616
def
appTerm
3617
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3616
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
3616
ref
525
ref
appTerm
betaConv
3618
def
appThm
3616
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
3618
remove
absThm
appThm
appThm
nil
597
ref
3616
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
3617
remove
thm
2848
remove
nil
2777
remove
thm
nil
183
ref
163
ref
242
ref
1956
ref
464
ref
appTerm
3619
def
appTerm
164
ref
appTerm
3620
def
absTerm
3621
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3620
remove
nil
cons
3622
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
3619
ref
appTerm
1941
ref
appTerm
appTerm
2316
remove
appTerm
3623
def
absTerm
3624
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3623
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
524
remove
1939
ref
13
ref
1791
ref
1980
ref
appTerm
1941
ref
appTerm
3625
def
appTerm
1792
ref
467
ref
525
ref
appTerm
3626
def
1941
ref
appTerm
3627
def
appTerm
3628
def
appTerm
3629
def
absTerm
3630
def
1941
ref
appTerm
3631
def
betaConv
522
ref
178
ref
3630
ref
appTerm
3632
def
absTerm
3633
def
525
ref
appTerm
3634
def
betaConv
163
ref
178
ref
3633
ref
appTerm
3635
def
absTerm
3636
def
170
ref
appTerm
3637
def
betaConv
257
ref
163
ref
257
ref
522
ref
257
ref
1939
ref
3629
remove
assume
sym
13
ref
3628
remove
appTerm
3625
remove
appTerm
3638
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
257
ref
163
ref
257
ref
522
ref
257
ref
1939
ref
80
ref
nil
1939
ref
3627
ref
nil
cons
cons
nil
cons
nil
cons
cons
1967
ref
subst
appThm
2056
ref
1967
ref
subst
239
ref
nil
"k2"
162
ref
var
3639
def
1965
ref
cons
"k1"
162
ref
var
3640
def
574
ref
cons
3641
def
nil
cons
cons
nil
cons
cons
3639
ref
242
ref
1955
ref
1956
ref
3640
ref
varTerm
3642
def
appTerm
3643
def
appTerm
3639
ref
varTerm
3644
def
appTerm
3645
def
appTerm
1956
ref
467
ref
3642
ref
appTerm
3644
ref
appTerm
3646
def
appTerm
3647
def
appTerm
3648
def
absTerm
3649
def
3644
ref
appTerm
3650
def
betaConv
3640
ref
178
ref
3649
ref
appTerm
3651
def
absTerm
3652
def
3642
ref
appTerm
3653
def
betaConv
163
ref
178
ref
3652
ref
appTerm
3654
def
absTerm
3655
def
170
ref
appTerm
3656
def
betaConv
257
ref
163
ref
257
ref
3640
ref
257
ref
3639
ref
3648
remove
assume
sym
242
ref
3647
remove
appTerm
3645
ref
appTerm
3657
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
257
ref
163
ref
257
ref
3640
ref
257
ref
3639
ref
387
ref
1956
ref
refl
nil
163
ref
3644
ref
nil
cons
3658
def
cons
442
ref
3642
ref
nil
cons
3659
def
cons
nil
cons
cons
nil
cons
cons
2490
ref
subst
3660
def
appThm
appThm
3645
remove
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
257
ref
163
ref
257
ref
3640
ref
257
ref
3639
ref
387
ref
nil
522
ref
467
ref
3644
ref
appTerm
3642
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3661
def
2144
ref
subst
nil
163
ref
3659
ref
cons
3662
def
442
ref
3658
ref
cons
3663
def
2016
remove
cons
cons
nil
cons
cons
273
remove
163
ref
2019
remove
2021
ref
1235
ref
appTerm
appTerm
2129
remove
2021
remove
445
ref
appTerm
appTerm
2130
remove
appTerm
appTerm
absTerm
3664
def
170
ref
appTerm
3665
def
betaConv
442
ref
178
ref
3664
ref
appTerm
3666
def
absTerm
3667
def
445
ref
appTerm
3668
def
betaConv
2017
remove
178
ref
3667
ref
appTerm
3669
def
absTerm
3670
def
2020
remove
appTerm
3671
def
betaConv
nil
2025
remove
3670
ref
appTerm
3672
def
axiom
nil
30
ref
3672
remove
nil
cons
cons
31
ref
3671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2027
remove
2028
remove
3670
remove
nil
cons
cons
2029
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3669
remove
nil
cons
cons
31
ref
3668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3667
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3666
remove
nil
cons
cons
31
ref
3665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3664
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
3673
def
subst
401
ref
appThm
nil
186
ref
1911
ref
1984
ref
3642
ref
appTerm
3674
def
nil
cons
cons
2014
ref
1984
remove
3644
ref
appTerm
3675
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2139
ref
subst
trans
trans
appThm
nil
522
ref
3658
ref
cons
3676
def
163
ref
3643
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2144
ref
subst
3675
ref
refl
nil
522
ref
3659
ref
cons
nil
cons
nil
cons
cons
3677
def
2144
remove
subst
appThm
trans
appThm
nil
184
ref
3675
remove
3674
remove
170
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
3678
def
eqMp
nil
30
ref
178
ref
3655
ref
appTerm
nil
cons
cons
31
ref
3656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3655
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3654
remove
nil
cons
cons
31
ref
3653
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3652
remove
nil
cons
cons
184
ref
3659
remove
cons
nil
cons
3679
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3651
remove
nil
cons
cons
31
ref
3650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3649
remove
nil
cons
cons
184
ref
3658
remove
cons
nil
cons
3680
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
trans
appThm
nil
153
ref
169
ref
1956
ref
3627
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
3681
def
eqMp
nil
30
ref
178
ref
3636
ref
appTerm
nil
cons
cons
31
ref
3637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3636
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3635
remove
nil
cons
cons
31
ref
3634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3633
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3632
remove
nil
cons
cons
31
ref
3631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3630
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
2336
remove
appThm
nil
63
ref
1792
ref
467
ref
464
ref
appTerm
3682
def
1941
ref
appTerm
3683
def
appTerm
3684
def
nil
cons
cons
nil
cons
nil
cons
cons
1323
ref
subst
trans
sym
nil
163
ref
523
ref
cons
3685
def
442
ref
3683
ref
nil
cons
3686
def
cons
nil
cons
cons
nil
cons
cons
3376
ref
subst
nil
2292
ref
3402
remove
nil
cons
3687
def
cons
nil
cons
cons
nil
63
ref
3404
ref
1235
ref
appTerm
3688
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
3688
remove
absTerm
3689
def
170
ref
appTerm
3690
def
betaConv
442
ref
178
ref
3689
ref
appTerm
3691
def
absTerm
3692
def
445
ref
appTerm
3693
def
betaConv
nil
178
ref
3692
ref
appTerm
3694
def
axiom
nil
30
ref
3694
remove
nil
cons
cons
31
ref
3693
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3692
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3691
remove
nil
cons
cons
31
ref
3690
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3689
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
3695
def
subst
trans
sym
68
ref
eqMp
nil
30
ref
160
ref
407
ref
3683
remove
appTerm
464
ref
appTerm
appTerm
nil
cons
cons
31
ref
160
ref
3684
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1939
ref
3686
remove
cons
nil
cons
nil
cons
cons
1939
ref
32
ref
2943
remove
appTerm
2947
remove
appTerm
absTerm
3696
def
1941
ref
appTerm
3697
def
betaConv
163
ref
178
ref
3696
ref
appTerm
3698
def
absTerm
3699
def
170
ref
appTerm
3700
def
betaConv
257
ref
163
ref
257
ref
1939
ref
nil
1034
ref
2957
remove
cons
2925
remove
nil
cons
cons
nil
cons
cons
1033
ref
13
ref
32
ref
2929
ref
appTerm
2928
ref
appTerm
3701
def
appTerm
32
ref
2931
remove
appTerm
2932
remove
appTerm
3702
def
appTerm
3703
def
absTerm
3704
def
2929
remove
appTerm
3705
def
betaConv
1034
ref
150
ref
3704
ref
appTerm
3706
def
absTerm
3707
def
2928
remove
appTerm
3708
def
betaConv
1082
ref
1034
ref
1082
ref
1033
ref
3703
remove
assume
sym
13
ref
3702
remove
appTerm
3701
remove
appTerm
3709
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
150
ref
1034
ref
150
ref
1033
ref
3709
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
150
ref
3707
ref
appTerm
nil
cons
cons
31
ref
3708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3707
remove
nil
cons
cons
2939
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3706
remove
nil
cons
cons
31
ref
3705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3704
remove
nil
cons
cons
2940
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
absThm
appThm
absThm
appThm
3010
ref
eqMp
nil
30
ref
178
ref
3699
ref
appTerm
nil
cons
cons
31
ref
3700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3699
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3698
remove
nil
cons
cons
31
ref
3697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3696
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
3624
remove
appTerm
nil
cons
cons
31
ref
3622
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
166
ref
442
ref
3619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
3710
def
eqMp
absThm
eqMp
nil
178
ref
3621
remove
appTerm
thm
3365
ref
refl
3711
def
949
remove
appThm
1664
remove
appThm
1669
remove
nil
63
ref
3365
ref
164
ref
appTerm
3712
def
170
ref
appTerm
3713
def
nil
cons
3714
def
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
3713
ref
absTerm
3715
def
170
ref
appTerm
3716
def
betaConv
nil
178
ref
3715
ref
appTerm
3717
def
axiom
nil
30
ref
3717
remove
nil
cons
cons
31
ref
3716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3715
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
3718
def
subst
trans
sym
68
ref
eqMp
nil
30
ref
3365
ref
958
remove
appTerm
959
ref
appTerm
3719
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
3365
ref
965
remove
appTerm
966
ref
appTerm
3720
def
appTerm
3365
ref
974
remove
appTerm
975
ref
appTerm
3721
def
appTerm
3722
def
absTerm
3723
def
appTerm
3724
def
absTerm
3725
def
appTerm
3726
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
3725
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
3724
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
3723
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
3722
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3720
ref
nil
cons
3727
def
cons
31
ref
3721
remove
nil
cons
3728
def
cons
nil
cons
cons
nil
cons
cons
3729
def
49
ref
subst
3729
remove
121
ref
subst
3711
ref
991
remove
appThm
992
ref
appThm
sym
nil
30
ref
13
ref
1673
ref
appTerm
3730
def
191
ref
appTerm
3731
def
nil
cons
3732
def
cons
31
ref
3365
ref
1690
remove
1624
ref
appTerm
appTerm
975
ref
appTerm
nil
cons
3733
def
cons
nil
cons
3734
def
cons
nil
cons
cons
3735
def
49
ref
subst
3735
remove
121
ref
subst
13
ref
"_29053"
1
ref
var
3736
def
3365
ref
294
ref
3736
remove
varTerm
appTerm
164
ref
appTerm
1624
ref
appTerm
appTerm
975
ref
appTerm
absTerm
3737
def
1673
ref
appTerm
3738
def
appTerm
refl
3739
def
3737
ref
191
ref
appTerm
betaConv
appThm
80
ref
3738
remove
betaConv
appThm
3740
def
3365
ref
294
ref
191
ref
appTerm
3741
def
164
ref
appTerm
1624
ref
appTerm
appTerm
975
ref
appTerm
refl
appThm
trans
3737
remove
refl
3742
def
3731
remove
assume
appThm
eqMp
sym
3711
ref
nil
301
ref
1624
ref
nil
cons
cons
645
ref
cons
nil
cons
cons
3743
def
324
ref
subst
1637
remove
trans
1640
remove
trans
appThm
1632
ref
appThm
1753
remove
163
ref
13
ref
3365
ref
635
ref
appTerm
3744
def
254
ref
appTerm
appTerm
3405
ref
appTerm
absTerm
3745
def
170
ref
appTerm
3746
def
betaConv
442
ref
178
ref
3745
ref
appTerm
3747
def
absTerm
3748
def
445
ref
appTerm
3749
def
betaConv
nil
178
ref
3748
ref
appTerm
3750
def
axiom
nil
30
ref
3750
remove
nil
cons
cons
31
ref
3749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3748
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3747
remove
nil
cons
cons
31
ref
3746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3745
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3751
def
subst
nil
63
ref
3727
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
3720
remove
assume
eqMp
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
3732
ref
cons
78
ref
3733
ref
cons
nil
cons
3752
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
3730
ref
55
ref
appTerm
3753
def
nil
cons
3754
def
cons
3734
remove
cons
nil
cons
cons
3755
def
49
ref
subst
3755
remove
121
ref
subst
3739
remove
"_29051"
1
ref
var
3756
def
3365
ref
294
ref
3756
remove
varTerm
appTerm
164
ref
appTerm
1624
ref
appTerm
appTerm
975
ref
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
3740
remove
3365
ref
294
ref
55
ref
appTerm
3757
def
164
ref
appTerm
1624
remove
appTerm
appTerm
975
ref
appTerm
refl
appThm
trans
3742
remove
3753
remove
assume
appThm
eqMp
sym
3711
ref
3743
remove
823
ref
subst
appThm
992
remove
appThm
1727
remove
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
3754
remove
cons
3758
def
3752
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
1673
remove
appTerm
3759
def
betaConv
927
ref
nil
928
ref
31
ref
3759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
153
ref
1686
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
3758
remove
78
ref
3732
remove
cons
839
ref
3733
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
3727
remove
cons
78
ref
3728
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3719
remove
appTerm
3726
remove
appTerm
nil
cons
cons
31
ref
28
ref
4
ref
3365
ref
939
ref
appTerm
3760
def
943
ref
appTerm
3761
def
absTerm
3762
def
appTerm
3763
def
nil
cons
3764
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3762
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
3762
ref
962
ref
appTerm
betaConv
appThm
3762
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
3762
ref
16
ref
appTerm
3765
def
betaConv
3766
def
absThm
appThm
appThm
nil
1084
ref
3762
remove
nil
cons
3767
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
3768
def
nil
3763
remove
thm
596
ref
257
ref
163
ref
nil
163
ref
3467
remove
cons
nil
cons
nil
cons
cons
3718
ref
subst
absThm
appThm
278
ref
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
178
ref
163
ref
3365
ref
1138
ref
appTerm
3314
ref
1138
ref
appTerm
170
ref
appTerm
3769
def
appTerm
absTerm
appTerm
appTerm
3770
def
178
ref
163
ref
3365
ref
1139
ref
appTerm
3314
ref
1139
ref
appTerm
170
ref
appTerm
3771
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3772
def
refl
appThm
nil
63
ref
3772
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1188
ref
178
ref
1135
ref
3770
remove
178
ref
163
ref
3365
ref
3214
ref
appTerm
3773
def
3314
ref
3214
ref
appTerm
170
ref
appTerm
3774
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
3775
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
3775
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
303
ref
32
ref
178
ref
163
ref
3365
ref
1192
ref
appTerm
3776
def
3314
ref
1192
ref
appTerm
3777
def
170
ref
appTerm
3778
def
appTerm
absTerm
3779
def
appTerm
3780
def
appTerm
178
ref
163
ref
3365
ref
1193
ref
appTerm
3781
def
3314
ref
1193
ref
appTerm
3782
def
170
ref
appTerm
3783
def
appTerm
absTerm
3784
def
appTerm
3785
def
appTerm
3786
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
3786
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3780
remove
nil
cons
3787
def
cons
3788
def
31
ref
3785
remove
nil
cons
3789
def
cons
nil
cons
3790
def
cons
nil
cons
cons
3791
def
49
ref
subst
3791
remove
121
ref
subst
596
ref
3781
ref
refl
3792
def
3242
ref
3488
ref
170
ref
appTerm
3793
def
betaConv
3487
remove
nil
30
ref
3489
remove
nil
cons
cons
31
ref
3793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3488
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
3794
def
appThm
3242
ref
3553
ref
subst
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
3781
ref
3782
ref
1138
ref
appTerm
3795
def
appTerm
appTerm
3796
def
3781
ref
3782
ref
1139
ref
appTerm
3797
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3798
def
refl
appThm
nil
63
ref
3798
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1187
ref
178
ref
1135
ref
3796
remove
3781
ref
3782
ref
3192
ref
appTerm
3799
def
appTerm
appTerm
absTerm
appTerm
3800
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
3800
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
301
ref
32
ref
3781
ref
3782
ref
1196
ref
appTerm
3801
def
appTerm
3802
def
appTerm
3781
ref
3782
ref
1197
ref
appTerm
3803
def
appTerm
3804
def
appTerm
3805
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
3805
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3802
remove
nil
cons
3806
def
cons
31
ref
3804
remove
nil
cons
3807
def
cons
nil
cons
cons
nil
cons
cons
3808
def
49
ref
subst
3808
remove
121
ref
subst
3792
remove
nil
183
ref
1939
ref
13
ref
1791
ref
3803
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
342
ref
19
ref
1190
ref
appTerm
3809
def
1194
ref
appTerm
3810
def
appTerm
3777
remove
1196
ref
appTerm
3811
def
appTerm
3812
def
appTerm
3813
def
1941
ref
appTerm
3814
def
appTerm
3815
def
absTerm
3816
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
3815
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
nil
3245
remove
442
ref
3239
ref
cons
nil
cons
3817
def
cons
nil
cons
cons
3818
def
3466
ref
subst
appThm
3814
ref
refl
appThm
sym
442
ref
2061
ref
1531
ref
163
ref
695
ref
254
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3819
def
1941
ref
appTerm
3820
def
betaConv
nil
178
ref
3819
ref
appTerm
3821
def
axiom
3822
def
nil
30
ref
3821
remove
nil
cons
cons
3823
def
31
ref
3820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3819
ref
nil
cons
cons
3824
def
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3825
def
nil
30
ref
19
ref
242
ref
1941
ref
appTerm
3826
def
164
ref
appTerm
3827
def
appTerm
1531
ref
163
ref
3826
ref
254
ref
appTerm
3828
def
absTerm
3829
def
appTerm
3830
def
appTerm
nil
cons
3831
def
cons
3832
def
31
ref
13
ref
19
ref
3229
ref
appTerm
3199
ref
appTerm
appTerm
3814
remove
appTerm
3833
def
nil
cons
3834
def
cons
nil
cons
3835
def
cons
nil
cons
cons
3836
def
101
ref
subst
proveHyp
3836
ref
49
ref
subst
3836
remove
121
ref
subst
nil
183
ref
163
ref
32
ref
3829
ref
170
ref
appTerm
3837
def
appTerm
3838
def
3833
ref
appTerm
3839
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3839
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
3837
ref
nil
cons
3840
def
cons
3841
def
3835
ref
cons
nil
cons
cons
3842
def
49
ref
subst
3842
remove
121
ref
subst
3837
ref
betaConv
3837
remove
assume
eqMp
3843
def
nil
30
ref
3828
ref
nil
cons
3844
def
cons
3845
def
3835
ref
cons
nil
cons
cons
3846
def
101
ref
subst
proveHyp
3846
ref
49
ref
subst
3846
remove
121
ref
subst
13
ref
"_29276"
162
ref
var
3847
def
13
ref
19
ref
3228
ref
3847
remove
varTerm
3848
def
appTerm
appTerm
3198
ref
3848
ref
appTerm
appTerm
appTerm
3813
ref
3848
remove
appTerm
appTerm
absTerm
3849
def
1941
ref
appTerm
3850
def
appTerm
refl
3851
def
3849
ref
254
ref
appTerm
betaConv
appThm
80
ref
3850
remove
betaConv
appThm
3852
def
13
ref
19
ref
3228
ref
254
ref
appTerm
3853
def
appTerm
3198
ref
254
ref
appTerm
3854
def
appTerm
appTerm
3813
ref
254
ref
appTerm
appTerm
refl
appThm
trans
3849
remove
refl
3855
def
3828
remove
assume
3856
def
appThm
eqMp
sym
80
ref
134
ref
nil
1939
ref
185
ref
cons
3857
def
3241
ref
cons
nil
cons
cons
2157
ref
subst
3255
remove
401
ref
appThm
trans
3858
def
appThm
nil
3857
ref
3246
remove
cons
nil
cons
cons
2157
ref
subst
3256
remove
401
ref
appThm
trans
3859
def
appThm
appThm
nil
3857
ref
163
ref
3812
ref
nil
cons
cons
3860
def
nil
cons
3861
def
cons
nil
cons
cons
2157
ref
subst
2314
ref
nil
1135
ref
3811
ref
nil
cons
3862
def
cons
887
ref
3810
ref
nil
cons
3863
def
cons
nil
cons
cons
nil
cons
cons
3864
def
1603
ref
subst
appThm
401
ref
appThm
nil
3857
ref
163
ref
1331
ref
cons
3865
def
442
ref
1208
ref
cons
3866
def
nil
cons
3867
def
cons
3868
def
cons
nil
cons
cons
3869
def
3466
ref
subst
trans
trans
appThm
nil
153
ref
19
ref
3249
remove
170
ref
appTerm
3870
def
appTerm
3194
remove
170
ref
appTerm
3871
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
3844
remove
cons
3872
def
78
ref
3834
ref
cons
nil
cons
3873
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
3840
remove
cons
3874
def
3873
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
3829
ref
1909
ref
appTerm
appTerm
3875
def
3833
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
3830
ref
appTerm
3876
def
3833
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3829
remove
nil
cons
cons
3877
def
3873
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
30
ref
3827
ref
nil
cons
3878
def
cons
3879
def
3835
remove
cons
nil
cons
cons
3880
def
49
ref
subst
3880
remove
121
ref
subst
3851
remove
"_29274"
162
ref
var
3881
def
13
ref
19
ref
3228
ref
3881
remove
varTerm
3882
def
appTerm
appTerm
3198
ref
3882
ref
appTerm
appTerm
appTerm
3813
ref
3882
remove
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
3852
remove
13
ref
19
ref
3237
ref
appTerm
3238
ref
appTerm
appTerm
3813
remove
164
ref
appTerm
appTerm
refl
appThm
trans
3855
remove
3827
remove
assume
3883
def
appThm
eqMp
sym
80
ref
134
ref
3243
ref
appThm
3248
ref
appThm
appThm
nil
3861
remove
nil
cons
cons
2161
ref
subst
3864
ref
1329
ref
subst
trans
appThm
nil
153
ref
3863
ref
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
3878
remove
cons
3884
def
3873
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
3884
ref
78
ref
3830
remove
nil
cons
cons
3885
def
839
ref
3834
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
76
ref
3831
remove
cons
3886
def
3873
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
3816
remove
appTerm
nil
cons
cons
31
ref
242
ref
3803
ref
appTerm
3812
remove
appTerm
3887
def
nil
cons
3888
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
3860
remove
442
ref
3803
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
3889
def
appThm
nil
301
ref
3862
ref
cons
1187
ref
3863
ref
cons
nil
cons
cons
nil
cons
cons
80
ref
nil
442
ref
3244
remove
cons
3890
def
3241
remove
cons
nil
cons
cons
163
ref
13
ref
3367
ref
appTerm
3364
remove
appTerm
3891
def
absTerm
3892
def
170
ref
appTerm
3893
def
betaConv
442
ref
178
ref
3892
ref
appTerm
3894
def
absTerm
3895
def
445
ref
appTerm
3896
def
betaConv
257
ref
442
ref
257
ref
163
ref
3891
remove
assume
sym
3368
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
3375
remove
eqMp
nil
30
ref
178
ref
3895
ref
appTerm
nil
cons
cons
31
ref
3896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3895
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3894
remove
nil
cons
cons
31
ref
3893
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3892
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3897
def
subst
161
ref
nil
301
ref
1208
ref
cons
3898
def
1187
ref
1210
ref
cons
3899
def
303
ref
1331
ref
cons
3900
def
1188
ref
1333
ref
cons
nil
cons
3901
def
cons
cons
cons
nil
cons
cons
3902
def
nil
30
ref
160
ref
407
ref
1192
ref
appTerm
3903
def
1196
ref
appTerm
3904
def
appTerm
nil
cons
3905
def
cons
3906
def
31
ref
13
ref
407
ref
1193
ref
appTerm
1197
ref
appTerm
3907
def
appTerm
3908
def
19
ref
3904
ref
appTerm
3909
def
38
ref
1203
ref
appTerm
3910
def
407
ref
286
ref
1190
ref
appTerm
3911
def
appTerm
286
ref
1194
ref
appTerm
3912
def
appTerm
3913
def
appTerm
3914
def
appTerm
appTerm
3915
def
nil
cons
3916
def
cons
nil
cons
3917
def
cons
nil
cons
cons
3918
def
49
ref
subst
3918
remove
121
ref
subst
nil
30
ref
160
ref
1203
ref
appTerm
3919
def
nil
cons
3920
def
cons
3921
def
3917
ref
cons
nil
cons
cons
3922
def
49
ref
subst
3922
remove
121
ref
subst
3908
remove
refl
3923
def
134
ref
nil
3906
ref
31
ref
13
ref
3904
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
3904
ref
nil
cons
3924
def
cons
3925
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
3926
def
appThm
3927
def
596
ref
nil
3921
ref
31
ref
13
ref
1203
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
1338
ref
cons
3928
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
3929
def
appThm
3930
def
3913
ref
refl
3931
def
appThm
nil
63
ref
3913
ref
nil
cons
3932
def
cons
nil
cons
nil
cons
cons
3933
def
1318
ref
subst
trans
appThm
2081
ref
trans
appThm
nil
63
ref
3907
ref
nil
cons
3934
def
cons
nil
cons
nil
cons
cons
3935
def
1323
ref
subst
3818
ref
3376
ref
subst
trans
trans
sym
nil
3866
ref
3865
ref
nil
cons
3936
def
cons
nil
cons
cons
3419
ref
subst
161
ref
nil
3868
remove
nil
cons
cons
3937
def
163
ref
13
ref
3405
ref
appTerm
3938
def
19
ref
447
ref
appTerm
696
ref
appTerm
appTerm
absTerm
3939
def
170
ref
appTerm
3940
def
betaConv
442
ref
178
ref
3939
ref
appTerm
3941
def
absTerm
3942
def
445
ref
appTerm
3943
def
betaConv
nil
178
ref
3942
ref
appTerm
3944
def
axiom
nil
30
ref
3944
remove
nil
cons
cons
31
ref
3943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3942
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3941
remove
nil
cons
cons
31
ref
3940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3939
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
3945
def
subst
3946
def
3927
ref
3929
ref
appThm
2081
ref
trans
3947
def
trans
appThm
236
ref
trans
trans
sym
68
ref
eqMp
nil
30
ref
407
ref
1196
ref
appTerm
1192
ref
appTerm
nil
cons
3948
def
cons
31
ref
407
ref
1197
ref
appTerm
1193
ref
appTerm
nil
cons
3949
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
3902
remove
nil
30
ref
3924
ref
cons
3950
def
31
ref
3934
ref
cons
nil
cons
cons
nil
cons
cons
3951
def
49
ref
subst
3951
remove
121
ref
subst
3525
ref
1212
remove
1170
ref
subst
3952
def
appThm
1335
remove
1170
ref
subst
3953
def
appThm
sym
163
ref
38
ref
407
ref
467
ref
3911
ref
appTerm
3954
def
1157
ref
1192
ref
appTerm
3955
def
appTerm
3956
def
appTerm
3957
def
170
ref
appTerm
appTerm
3366
ref
467
ref
3912
ref
appTerm
3958
def
1157
ref
1196
ref
appTerm
3959
def
appTerm
3960
def
appTerm
3961
def
appTerm
absTerm
3962
def
467
ref
393
ref
appTerm
3955
ref
appTerm
3963
def
appTerm
betaConv
sym
596
ref
nil
2086
remove
442
ref
3955
ref
nil
cons
3964
def
cons
3965
def
163
ref
3911
ref
nil
cons
3966
def
cons
3967
def
nil
cons
3968
def
cons
cons
nil
cons
cons
687
ref
13
ref
407
ref
2483
ref
appTerm
467
ref
691
ref
appTerm
3969
def
445
ref
appTerm
3970
def
appTerm
appTerm
717
ref
691
ref
appTerm
appTerm
absTerm
3971
def
691
ref
appTerm
3972
def
betaConv
163
ref
178
ref
3971
ref
appTerm
3973
def
absTerm
3974
def
170
ref
appTerm
3975
def
betaConv
442
ref
178
ref
3974
ref
appTerm
3976
def
absTerm
3977
def
445
ref
appTerm
3978
def
betaConv
nil
178
ref
3977
ref
appTerm
3979
def
axiom
nil
30
ref
3979
remove
nil
cons
cons
31
ref
3978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3977
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3976
remove
nil
cons
cons
31
ref
3975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3974
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3973
remove
nil
cons
cons
31
ref
3972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3971
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
nil
284
ref
1210
ref
cons
nil
cons
nil
cons
cons
3980
def
3555
ref
subst
trans
appThm
3365
ref
3963
ref
appTerm
3981
def
3960
ref
appTerm
3982
def
refl
appThm
nil
63
ref
3982
remove
nil
cons
3983
def
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
163
ref
38
ref
3981
ref
170
ref
appTerm
appTerm
3961
remove
appTerm
absTerm
3984
def
3959
ref
appTerm
betaConv
sym
38
ref
3981
ref
3959
ref
appTerm
3985
def
appTerm
refl
nil
442
ref
3912
ref
nil
cons
3986
def
cons
3987
def
163
ref
3959
remove
nil
cons
3988
def
cons
nil
cons
cons
nil
cons
cons
nil
63
ref
3366
ref
1235
ref
appTerm
3989
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
3989
remove
absTerm
3990
def
170
ref
appTerm
3991
def
betaConv
442
ref
178
ref
3990
ref
appTerm
3992
def
absTerm
3993
def
445
ref
appTerm
3994
def
betaConv
nil
178
ref
3993
ref
appTerm
3995
def
axiom
nil
30
ref
3995
remove
nil
cons
cons
31
ref
3994
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3993
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3992
remove
nil
cons
cons
31
ref
3991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3990
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
3996
def
subst
appThm
nil
63
ref
3985
ref
nil
cons
3997
def
cons
nil
cons
nil
cons
cons
63
ref
13
ref
3294
ref
55
ref
appTerm
appTerm
65
ref
appTerm
absTerm
3998
def
65
ref
appTerm
3999
def
betaConv
nil
150
ref
3998
ref
appTerm
4000
def
axiom
nil
30
ref
4000
remove
nil
cons
cons
31
ref
3999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
3998
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4001
def
subst
trans
sym
1531
ref
refl
"d"
162
ref
var
4002
def
242
ref
1196
ref
appTerm
4003
def
refl
4004
def
nil
163
ref
245
ref
4002
ref
varTerm
4005
def
appTerm
4006
def
nil
cons
cons
4007
def
3867
ref
cons
nil
cons
cons
2490
ref
subst
appThm
absThm
appThm
3937
ref
163
ref
13
ref
447
ref
appTerm
4008
def
1531
ref
4002
ref
411
ref
633
ref
4006
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4009
def
170
ref
appTerm
4010
def
betaConv
442
ref
178
ref
4009
ref
appTerm
4011
def
absTerm
4012
def
445
ref
appTerm
4013
def
betaConv
nil
178
ref
4012
ref
appTerm
4014
def
axiom
nil
30
ref
4014
remove
nil
cons
cons
31
ref
4013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4012
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4011
remove
nil
cons
cons
31
ref
4010
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4009
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4015
def
subst
3904
ref
assume
4016
def
eqMp
eqMp
nil
30
ref
1531
ref
4002
ref
4003
ref
467
ref
4006
ref
appTerm
1192
ref
appTerm
4017
def
appTerm
4018
def
absTerm
4019
def
appTerm
4020
def
nil
cons
cons
31
ref
3997
ref
cons
nil
cons
4021
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
4019
ref
4005
ref
appTerm
4022
def
appTerm
3985
ref
appTerm
4023
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
4023
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4022
ref
nil
cons
4024
def
cons
4021
ref
cons
nil
cons
cons
4025
def
49
ref
subst
4025
remove
121
ref
subst
4022
ref
betaConv
4022
remove
assume
eqMp
nil
30
ref
4018
ref
nil
cons
4026
def
cons
4021
remove
cons
nil
cons
cons
4027
def
101
ref
subst
proveHyp
4027
ref
49
ref
subst
4027
remove
121
ref
subst
13
ref
"_29222"
162
ref
var
4028
def
3981
ref
1157
ref
4028
remove
varTerm
appTerm
appTerm
absTerm
4029
def
1196
ref
appTerm
4030
def
appTerm
refl
4029
ref
4017
ref
appTerm
betaConv
appThm
80
ref
4030
remove
betaConv
appThm
3981
ref
1157
ref
4017
remove
appTerm
appTerm
refl
appThm
trans
4029
remove
refl
4018
remove
assume
appThm
eqMp
sym
3981
remove
refl
nil
687
ref
1208
ref
cons
4007
ref
1171
ref
cons
cons
nil
cons
cons
2680
ref
691
ref
appTerm
4031
def
betaConv
2682
ref
170
ref
appTerm
4032
def
betaConv
2684
ref
445
ref
appTerm
4033
def
betaConv
2686
remove
nil
30
ref
2685
remove
nil
cons
cons
31
ref
4033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2684
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2683
remove
nil
cons
cons
31
ref
4032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2682
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2681
remove
nil
cons
cons
31
ref
4031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2680
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4034
def
subst
673
ref
2621
remove
nil
442
ref
4005
ref
nil
cons
4035
def
cons
nil
cons
nil
cons
cons
641
ref
445
ref
appTerm
4036
def
betaConv
643
remove
nil
30
ref
642
remove
nil
cons
cons
31
ref
4036
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
641
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4037
def
subst
appThm
nil
688
ref
163
ref
4035
ref
cons
4038
def
1171
ref
cons
cons
nil
cons
cons
4034
ref
subst
467
ref
1157
ref
4005
ref
appTerm
4039
def
appTerm
4040
def
refl
1172
ref
442
ref
242
ref
1173
ref
283
ref
appTerm
appTerm
445
ref
appTerm
absTerm
4041
def
445
ref
appTerm
4042
def
betaConv
nil
178
ref
4041
ref
appTerm
4043
def
axiom
nil
30
ref
4043
remove
nil
cons
cons
31
ref
4042
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4041
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4044
def
subst
appThm
trans
trans
appThm
3955
ref
refl
appThm
trans
appThm
nil
687
ref
4040
remove
393
ref
appTerm
nil
cons
cons
3965
remove
405
ref
cons
cons
nil
cons
cons
687
ref
13
ref
3365
ref
2483
remove
appTerm
3970
remove
appTerm
appTerm
3366
ref
691
ref
appTerm
4045
def
appTerm
absTerm
4046
def
691
ref
appTerm
4047
def
betaConv
163
ref
178
ref
4046
ref
appTerm
4048
def
absTerm
4049
def
170
ref
appTerm
4050
def
betaConv
442
ref
178
ref
4049
ref
appTerm
4051
def
absTerm
4052
def
445
ref
appTerm
4053
def
betaConv
nil
178
ref
4052
ref
appTerm
4054
def
axiom
4055
def
nil
30
ref
4054
remove
nil
cons
cons
4056
def
31
ref
4053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4052
ref
nil
cons
cons
4057
def
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4051
remove
nil
cons
cons
31
ref
4050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4049
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4048
remove
nil
cons
cons
31
ref
4047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4046
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4058
def
subst
nil
442
ref
4039
remove
nil
cons
cons
405
remove
cons
nil
cons
cons
3996
ref
subst
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
4026
remove
cons
78
ref
3997
remove
cons
nil
cons
4059
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
4024
remove
cons
4059
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
4019
ref
1909
ref
appTerm
appTerm
3985
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
4020
remove
appTerm
3985
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4019
remove
nil
cons
cons
4059
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
3984
ref
nil
cons
cons
184
ref
3988
ref
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
3984
remove
appTerm
nil
cons
cons
31
ref
3983
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
3960
ref
nil
cons
cons
4060
def
442
ref
3963
remove
nil
cons
4061
def
cons
nil
cons
cons
nil
cons
cons
687
ref
32
ref
1531
ref
163
ref
38
ref
3405
ref
appTerm
4062
def
4045
ref
appTerm
4063
def
absTerm
4064
def
appTerm
4065
def
appTerm
4066
def
3404
ref
691
ref
appTerm
4067
def
appTerm
4068
def
absTerm
4069
def
691
ref
appTerm
4070
def
betaConv
442
ref
178
ref
4069
ref
appTerm
4071
def
absTerm
4072
def
445
ref
appTerm
4073
def
betaConv
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
32
ref
4063
ref
appTerm
4067
ref
appTerm
absTerm
4074
def
appTerm
4075
def
absTerm
4076
def
appTerm
4077
def
absTerm
4078
def
appTerm
4079
def
axiom
nil
30
ref
4079
ref
nil
cons
4080
def
cons
4081
def
31
ref
178
ref
4072
ref
appTerm
nil
cons
4082
def
cons
nil
cons
cons
nil
cons
cons
4083
def
101
ref
subst
proveHyp
4083
ref
49
ref
subst
4083
remove
121
ref
subst
nil
183
ref
4072
remove
nil
cons
cons
4084
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4071
remove
nil
cons
4085
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4069
remove
nil
cons
cons
4086
def
nil
cons
nil
cons
cons
562
ref
subst
687
ref
nil
63
ref
4068
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4065
remove
nil
cons
4087
def
cons
4088
def
31
ref
4067
ref
nil
cons
4089
def
cons
nil
cons
4090
def
cons
nil
cons
cons
4091
def
49
ref
subst
4091
remove
121
ref
subst
nil
4081
ref
4090
ref
cons
nil
cons
cons
4092
def
101
ref
subst
nil
4088
remove
31
ref
32
ref
4079
remove
appTerm
4067
ref
appTerm
4093
def
nil
cons
4094
def
cons
nil
cons
4095
def
cons
nil
cons
cons
101
ref
subst
nil
183
ref
163
ref
32
ref
4064
ref
170
ref
appTerm
4096
def
appTerm
4093
ref
appTerm
4097
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4097
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4096
ref
nil
cons
4098
def
cons
4095
ref
cons
nil
cons
cons
4099
def
49
ref
subst
4099
remove
121
ref
subst
4096
ref
betaConv
4096
remove
assume
eqMp
nil
30
ref
4063
remove
nil
cons
4100
def
cons
4101
def
4095
remove
cons
nil
cons
cons
4102
def
101
ref
subst
proveHyp
4102
ref
49
ref
subst
4102
remove
121
ref
subst
4092
ref
49
ref
subst
4092
remove
121
ref
subst
nil
4101
remove
4090
remove
cons
nil
cons
cons
101
ref
subst
4074
ref
691
ref
appTerm
4103
def
betaConv
4076
ref
170
ref
appTerm
4104
def
betaConv
4078
ref
445
ref
appTerm
4105
def
betaConv
nil
4081
remove
31
ref
4105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
4078
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4077
remove
nil
cons
cons
31
ref
4104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4076
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4075
remove
nil
cons
cons
31
ref
4103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4074
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
4080
remove
cons
4106
def
78
ref
4089
remove
cons
nil
cons
4107
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
4100
remove
cons
78
ref
4094
remove
cons
nil
cons
4108
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
4098
remove
cons
4108
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
4064
ref
1909
ref
appTerm
appTerm
4093
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
4066
remove
4093
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4064
remove
nil
cons
cons
4108
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
4087
remove
cons
4107
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4106
remove
78
ref
4082
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
4082
remove
cons
31
ref
4073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4084
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4085
remove
cons
31
ref
4070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4086
remove
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4109
def
subst
eqMp
eqMp
eqMp
182
ref
183
ref
3962
ref
nil
cons
cons
184
ref
4061
remove
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
3962
remove
appTerm
nil
cons
cons
31
ref
3957
remove
3960
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
4060
remove
442
ref
3956
ref
nil
cons
cons
nil
cons
4110
def
cons
nil
cons
cons
687
ref
32
ref
1531
ref
163
ref
3024
remove
4045
ref
appTerm
4111
def
absTerm
4112
def
appTerm
4113
def
appTerm
4114
def
3025
ref
appTerm
4115
def
absTerm
4116
def
691
ref
appTerm
4117
def
betaConv
442
ref
178
ref
4116
ref
appTerm
4118
def
absTerm
4119
def
445
ref
appTerm
4120
def
betaConv
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
32
ref
4111
ref
appTerm
3025
ref
appTerm
absTerm
4121
def
appTerm
4122
def
absTerm
4123
def
appTerm
4124
def
absTerm
4125
def
appTerm
4126
def
axiom
nil
30
ref
4126
ref
nil
cons
4127
def
cons
4128
def
31
ref
178
ref
4119
ref
appTerm
nil
cons
4129
def
cons
nil
cons
cons
nil
cons
cons
4130
def
101
ref
subst
proveHyp
4130
ref
49
ref
subst
4130
remove
121
ref
subst
nil
183
ref
4119
remove
nil
cons
cons
4131
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4118
remove
nil
cons
4132
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4116
remove
nil
cons
cons
4133
def
nil
cons
nil
cons
cons
562
ref
subst
687
ref
nil
63
ref
4115
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4113
remove
nil
cons
4134
def
cons
4135
def
31
ref
3025
ref
nil
cons
4136
def
cons
nil
cons
4137
def
cons
nil
cons
cons
4138
def
49
ref
subst
4138
remove
121
ref
subst
nil
4128
ref
4137
ref
cons
nil
cons
cons
4139
def
101
ref
subst
nil
4135
remove
31
ref
32
ref
4126
remove
appTerm
3025
remove
appTerm
4140
def
nil
cons
4141
def
cons
nil
cons
4142
def
cons
nil
cons
cons
101
ref
subst
nil
183
ref
163
ref
32
ref
4112
ref
170
ref
appTerm
4143
def
appTerm
4140
ref
appTerm
4144
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4144
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4143
ref
nil
cons
4145
def
cons
4142
ref
cons
nil
cons
cons
4146
def
49
ref
subst
4146
remove
121
ref
subst
4143
ref
betaConv
4143
remove
assume
eqMp
nil
30
ref
4111
remove
nil
cons
4147
def
cons
4148
def
4142
remove
cons
nil
cons
cons
4149
def
101
ref
subst
proveHyp
4149
ref
49
ref
subst
4149
remove
121
ref
subst
4139
ref
49
ref
subst
4139
remove
121
ref
subst
nil
4148
remove
4137
remove
cons
nil
cons
cons
101
ref
subst
4121
ref
691
ref
appTerm
4150
def
betaConv
4123
ref
170
ref
appTerm
4151
def
betaConv
4125
ref
445
ref
appTerm
4152
def
betaConv
nil
4128
remove
31
ref
4152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
4125
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4124
remove
nil
cons
cons
31
ref
4151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4123
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4122
remove
nil
cons
cons
31
ref
4150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4121
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
4127
remove
cons
4153
def
78
ref
4136
remove
cons
nil
cons
4154
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
4147
remove
cons
78
ref
4141
remove
cons
nil
cons
4155
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
4145
remove
cons
4155
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
4112
ref
1909
ref
appTerm
appTerm
4140
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
4114
remove
4140
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4112
remove
nil
cons
cons
4155
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
4134
remove
cons
4154
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4153
remove
78
ref
4129
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
4129
remove
cons
31
ref
4120
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4131
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4132
remove
cons
31
ref
4117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4133
remove
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4156
def
subst
eqMp
eqMp
4157
def
eqMp
nil
3925
ref
78
ref
3934
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4158
def
subst
eqMp
nil
30
ref
3949
remove
cons
31
ref
3365
ref
1197
ref
appTerm
1193
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
3240
remove
3890
remove
nil
cons
cons
nil
cons
cons
163
ref
448
remove
3405
ref
appTerm
absTerm
4159
def
170
ref
appTerm
4160
def
betaConv
442
ref
178
ref
4159
ref
appTerm
4161
def
absTerm
4162
def
445
ref
appTerm
4163
def
betaConv
nil
178
ref
4162
ref
appTerm
4164
def
axiom
nil
30
ref
4164
remove
nil
cons
cons
31
ref
4163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4162
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4161
remove
nil
cons
cons
31
ref
4160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4159
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4165
def
subst
eqMp
eqMp
eqMp
nil
76
ref
3920
ref
cons
4166
def
78
ref
3916
ref
cons
nil
cons
4167
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1338
ref
cons
4168
def
3917
ref
cons
nil
cons
cons
4169
def
49
ref
subst
4169
remove
121
ref
subst
80
ref
3525
ref
1191
remove
refl
1610
ref
appThm
appThm
1197
ref
refl
appThm
nil
1332
remove
nil
cons
nil
cons
cons
4170
def
1135
ref
13
ref
407
ref
3214
ref
appTerm
3192
ref
appTerm
appTerm
3913
remove
appTerm
absTerm
4171
def
1138
ref
appTerm
4172
def
betaConv
1187
ref
178
ref
4171
ref
appTerm
4173
def
absTerm
4174
def
1194
ref
appTerm
4175
def
betaConv
1188
ref
150
ref
4174
ref
appTerm
4176
def
absTerm
4177
def
1190
ref
appTerm
4178
def
betaConv
1082
ref
1188
ref
1082
ref
1187
ref
257
ref
1135
ref
80
ref
nil
442
ref
3192
ref
nil
cons
cons
163
ref
3214
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3419
ref
subst
161
ref
nil
3899
ref
3901
remove
cons
nil
cons
cons
3711
ref
nil
1211
remove
nil
cons
cons
1170
ref
subst
appThm
nil
1334
remove
nil
cons
cons
1170
ref
subst
appThm
nil
687
ref
3986
ref
cons
4179
def
442
ref
1214
ref
cons
3968
ref
cons
cons
nil
cons
cons
4058
ref
subst
trans
4180
def
subst
appThm
trans
appThm
nil
3987
ref
3968
remove
cons
nil
cons
cons
4181
def
3419
ref
subst
appThm
nil
153
ref
160
ref
3365
ref
3912
ref
appTerm
3911
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
1128
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
4182
def
nil
30
ref
150
ref
4177
ref
appTerm
4183
def
nil
cons
cons
31
ref
4178
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4177
remove
nil
cons
cons
153
ref
1210
ref
cons
nil
cons
4184
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4176
remove
nil
cons
cons
31
ref
4175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4174
remove
nil
cons
cons
153
ref
1333
ref
cons
nil
cons
4185
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4173
remove
nil
cons
cons
31
ref
4172
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4171
remove
nil
cons
cons
1169
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
3927
ref
596
ref
387
ref
1610
ref
appThm
1196
ref
refl
4186
def
appThm
nil
184
ref
1331
ref
cons
nil
cons
4187
def
nil
cons
cons
425
ref
subst
4188
def
trans
4189
def
appThm
4190
def
3931
remove
appThm
3933
ref
749
ref
subst
trans
appThm
3933
remove
1029
ref
subst
trans
appThm
nil
153
ref
3932
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
3928
ref
4167
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
1203
ref
appTerm
4191
def
betaConv
833
ref
nil
834
ref
31
ref
4191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
1338
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4192
def
nil
3928
ref
78
ref
3920
remove
cons
4193
def
839
ref
3916
ref
cons
nil
cons
4194
def
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
3905
ref
cons
4195
def
4167
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
3950
ref
3917
remove
cons
nil
cons
cons
4196
def
49
ref
subst
4196
remove
121
ref
subst
3923
remove
134
ref
nil
63
ref
3924
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
4016
remove
eqMp
4197
def
appThm
4198
def
3914
ref
refl
appThm
nil
63
ref
3914
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
trans
appThm
3935
remove
63
ref
13
ref
67
remove
appTerm
65
ref
appTerm
absTerm
4199
def
65
ref
appTerm
4200
def
betaConv
nil
150
ref
4199
ref
appTerm
4201
def
axiom
nil
30
ref
4201
remove
nil
cons
cons
31
ref
4200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4199
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4202
def
subst
trans
sym
4157
remove
eqMp
eqMp
nil
3925
ref
4167
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
3904
ref
appTerm
4203
def
betaConv
833
ref
nil
834
ref
31
ref
4203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
3924
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4204
def
nil
3925
ref
78
ref
3905
remove
cons
4205
def
4194
remove
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
4206
def
subst
appThm
trans
appThm
3909
ref
refl
4207
def
3910
ref
refl
4208
def
4181
remove
3897
ref
subst
appThm
appThm
appThm
sym
80
ref
nil
1033
ref
38
ref
4003
remove
1192
ref
appTerm
4209
def
appTerm
407
ref
3912
ref
appTerm
3911
ref
appTerm
4210
def
appTerm
nil
cons
cons
1034
ref
3948
remove
cons
nil
cons
cons
nil
cons
cons
3360
ref
subst
596
ref
nil
3257
ref
442
ref
1331
ref
cons
4211
def
nil
cons
cons
nil
cons
cons
3376
ref
subst
appThm
nil
1033
ref
4210
remove
nil
cons
cons
1034
ref
4209
ref
nil
cons
4212
def
cons
nil
cons
cons
nil
cons
cons
2941
remove
subst
19
ref
160
ref
4209
ref
appTerm
4213
def
appTerm
4214
def
refl
nil
3967
remove
3987
remove
nil
cons
4215
def
cons
nil
cons
cons
3376
ref
subst
4216
def
appThm
trans
appThm
trans
appThm
134
ref
3937
remove
163
ref
4008
remove
4062
ref
160
ref
696
ref
appTerm
appTerm
appTerm
absTerm
4217
def
170
ref
appTerm
4218
def
betaConv
442
ref
178
ref
4217
ref
appTerm
4219
def
absTerm
4220
def
445
ref
appTerm
4221
def
betaConv
nil
178
ref
4220
ref
appTerm
4222
def
axiom
nil
30
ref
4222
remove
nil
cons
cons
31
ref
4221
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4220
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4219
remove
nil
cons
cons
31
ref
4218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4217
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
4208
ref
4216
remove
appThm
appThm
appThm
sym
nil
3921
ref
31
ref
13
ref
38
ref
3776
remove
1196
ref
appTerm
4223
def
appTerm
4224
def
4214
remove
3365
ref
3911
ref
appTerm
4225
def
3912
ref
appTerm
4226
def
appTerm
appTerm
appTerm
19
ref
4224
ref
3919
ref
appTerm
appTerm
3910
ref
4226
ref
appTerm
4227
def
appTerm
appTerm
nil
cons
4228
def
cons
nil
cons
4229
def
cons
nil
cons
cons
4230
def
49
ref
subst
4230
remove
121
ref
subst
80
ref
4224
remove
refl
4231
def
134
ref
161
ref
161
ref
4209
ref
assume
sym
1610
ref
sym
deductAntisym
appThm
3919
remove
assume
eqMp
nil
30
ref
4213
remove
nil
cons
cons
31
ref
13
ref
4209
remove
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
76
ref
4212
remove
cons
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
appThm
4226
ref
refl
4232
def
appThm
nil
63
ref
4226
ref
nil
cons
4233
def
cons
nil
cons
nil
cons
cons
4234
def
156
ref
subst
trans
appThm
nil
63
ref
4223
ref
nil
cons
4235
def
cons
nil
cons
nil
cons
cons
4236
def
4001
ref
subst
4237
def
trans
appThm
134
ref
4231
remove
161
ref
3929
remove
appThm
236
ref
trans
appThm
4237
remove
trans
appThm
3930
ref
4232
ref
appThm
4234
ref
1318
ref
subst
trans
appThm
4236
ref
63
ref
13
ref
829
ref
191
ref
appTerm
appTerm
65
ref
appTerm
absTerm
4238
def
65
ref
appTerm
4239
def
betaConv
nil
150
ref
4238
ref
appTerm
4240
def
axiom
nil
30
ref
4240
remove
nil
cons
cons
31
ref
4239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4238
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4241
def
subst
trans
appThm
nil
153
ref
4235
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
4242
def
trans
sym
68
ref
eqMp
eqMp
nil
4166
ref
78
ref
4228
ref
cons
nil
cons
4243
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4168
ref
4229
remove
cons
nil
cons
cons
4244
def
49
ref
subst
4244
remove
121
ref
subst
80
ref
596
ref
3711
ref
1610
ref
appThm
4186
remove
appThm
nil
3936
remove
nil
cons
cons
3553
ref
subst
trans
appThm
4245
def
134
ref
161
ref
4004
remove
1610
remove
appThm
4188
remove
trans
appThm
1311
ref
trans
appThm
4232
ref
appThm
4234
ref
1029
ref
subst
4246
def
trans
appThm
4234
remove
749
ref
subst
4247
def
trans
appThm
134
ref
4245
remove
161
ref
4189
ref
appThm
1311
ref
trans
appThm
647
ref
749
ref
subst
trans
appThm
4190
ref
4232
ref
appThm
4247
remove
trans
appThm
4246
remove
trans
appThm
nil
153
ref
4233
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
4248
def
trans
sym
68
ref
eqMp
eqMp
nil
3928
ref
4243
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4192
ref
nil
3928
ref
4193
ref
839
ref
4228
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
4249
def
subst
trans
sym
nil
30
ref
1202
ref
3811
ref
appTerm
4250
def
nil
cons
4251
def
cons
31
ref
19
ref
3903
remove
3811
ref
appTerm
4252
def
appTerm
38
ref
4250
ref
appTerm
4225
remove
286
ref
3810
ref
appTerm
4253
def
appTerm
4254
def
appTerm
4255
def
appTerm
nil
cons
4256
def
cons
nil
cons
4257
def
cons
nil
cons
cons
4258
def
49
ref
subst
4258
remove
121
ref
subst
13
ref
"_29278"
162
ref
var
4259
def
38
ref
1202
ref
4259
remove
varTerm
appTerm
appTerm
4254
ref
appTerm
absTerm
4260
def
3811
ref
appTerm
4261
def
appTerm
refl
4260
ref
1192
ref
appTerm
betaConv
appThm
80
ref
4261
remove
betaConv
appThm
38
ref
1202
remove
1192
ref
appTerm
appTerm
4254
remove
appTerm
refl
appThm
trans
4260
remove
refl
4250
remove
assume
sym
appThm
eqMp
sym
596
ref
nil
184
ref
1208
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
4262
def
appThm
3711
ref
3980
remove
300
ref
subst
4263
def
appThm
nil
284
ref
3863
remove
cons
nil
cons
nil
cons
cons
300
ref
subst
appThm
appThm
nil
63
ref
3365
ref
294
ref
1190
ref
appTerm
283
ref
appTerm
164
ref
appTerm
4264
def
appTerm
4265
def
294
ref
3810
ref
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
nil
cons
4266
def
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
30
ref
13
ref
1194
ref
appTerm
4267
def
191
ref
appTerm
4268
def
nil
cons
4269
def
cons
4270
def
31
ref
4266
ref
cons
nil
cons
4271
def
cons
nil
cons
cons
4272
def
49
ref
subst
4272
remove
121
ref
subst
13
ref
"_29282"
1
ref
var
4273
def
4265
ref
294
ref
3809
ref
4273
remove
varTerm
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
absTerm
4274
def
1194
ref
appTerm
4275
def
appTerm
refl
4276
def
4274
ref
191
ref
appTerm
betaConv
appThm
80
ref
4275
remove
betaConv
appThm
4277
def
4265
ref
294
ref
3809
ref
191
ref
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
refl
appThm
trans
4274
remove
refl
4278
def
4268
remove
assume
4279
def
appThm
eqMp
sym
4265
ref
refl
4280
def
630
ref
nil
63
ref
1210
ref
cons
nil
cons
nil
cons
cons
4281
def
4241
ref
subst
appThm
675
ref
appThm
402
ref
appThm
appThm
nil
163
ref
4264
ref
nil
cons
cons
nil
cons
nil
cons
cons
4282
def
3553
ref
subst
4283
def
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
4269
ref
cons
4284
def
78
ref
4266
ref
cons
nil
cons
4285
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
4267
remove
55
ref
appTerm
4286
def
nil
cons
4287
def
cons
4288
def
4271
remove
cons
nil
cons
cons
4289
def
49
ref
subst
4289
remove
121
ref
subst
4276
remove
"_29280"
1
ref
var
4290
def
4265
ref
294
ref
3809
ref
4290
remove
varTerm
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
4277
remove
4265
ref
294
ref
3809
remove
55
ref
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
refl
appThm
trans
4278
remove
4286
remove
assume
4291
def
appThm
eqMp
sym
4280
remove
630
ref
4281
ref
63
ref
13
ref
829
remove
55
ref
appTerm
appTerm
55
ref
appTerm
absTerm
4292
def
65
ref
appTerm
4293
def
betaConv
nil
150
ref
4292
ref
appTerm
4294
def
axiom
nil
30
ref
4294
remove
nil
cons
cons
31
ref
4293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4292
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4295
def
subst
appThm
675
ref
appThm
402
ref
appThm
1284
ref
trans
appThm
sym
nil
30
ref
1200
ref
191
ref
appTerm
4296
def
nil
cons
4297
def
cons
4298
def
31
ref
4265
remove
283
ref
appTerm
nil
cons
4299
def
cons
nil
cons
4300
def
cons
nil
cons
cons
4301
def
49
ref
subst
4301
remove
121
ref
subst
13
ref
"_29286"
1
ref
var
4302
def
3365
ref
294
ref
4302
remove
varTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
283
ref
appTerm
absTerm
4303
def
1190
ref
appTerm
4304
def
appTerm
refl
4305
def
4303
ref
191
ref
appTerm
betaConv
appThm
80
ref
4304
remove
betaConv
appThm
4306
def
3365
ref
3741
ref
283
ref
appTerm
164
ref
appTerm
appTerm
283
ref
appTerm
refl
appThm
trans
4303
remove
refl
4307
def
4296
remove
assume
4308
def
appThm
eqMp
sym
3711
ref
325
ref
appThm
675
ref
appThm
428
ref
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
4297
ref
cons
4309
def
78
ref
4299
ref
cons
nil
cons
4310
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1200
remove
55
ref
appTerm
4311
def
nil
cons
4312
def
cons
4313
def
4300
remove
cons
nil
cons
cons
4314
def
49
ref
subst
4314
remove
121
ref
subst
4305
remove
"_29284"
1
ref
var
4315
def
3365
ref
294
ref
4315
remove
varTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
283
ref
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
4306
remove
3365
ref
3757
ref
283
ref
appTerm
164
ref
appTerm
appTerm
283
ref
appTerm
refl
appThm
trans
4307
remove
4311
remove
assume
4316
def
appThm
eqMp
sym
3711
ref
1284
remove
appThm
675
ref
appThm
428
ref
3553
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
4312
remove
cons
4317
def
4310
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
1190
ref
appTerm
4318
def
betaConv
927
ref
nil
928
ref
31
ref
4318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
4184
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4319
def
nil
4317
ref
78
ref
4297
remove
cons
4320
def
839
ref
4299
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
76
ref
4287
remove
cons
4321
def
4285
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
1194
ref
appTerm
4322
def
betaConv
927
ref
nil
928
ref
31
ref
4322
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
4185
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4323
def
nil
4321
ref
78
ref
4269
remove
cons
4324
def
839
ref
4266
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
4252
ref
nil
cons
4325
def
cons
4326
def
78
ref
4255
ref
nil
cons
4327
def
cons
nil
cons
cons
nil
cons
cons
2995
ref
subst
proveHyp
eqMp
nil
76
ref
4251
ref
cons
78
ref
4256
ref
cons
nil
cons
4328
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
4325
ref
cons
4257
remove
cons
nil
cons
cons
4329
def
49
ref
subst
4329
remove
121
ref
subst
134
ref
nil
63
ref
4325
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4252
remove
assume
eqMp
appThm
4255
remove
refl
appThm
nil
63
ref
4327
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
4326
ref
4328
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
163
ref
3862
remove
cons
4330
def
3867
remove
cons
nil
cons
cons
3945
ref
subst
3779
ref
1196
ref
appTerm
4331
def
betaConv
nil
3788
remove
31
ref
4331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
3779
remove
nil
cons
cons
4187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
4326
remove
78
ref
4251
remove
cons
839
ref
4256
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
3806
remove
cons
78
ref
3807
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3781
ref
3782
remove
164
ref
appTerm
4332
def
appTerm
appTerm
3798
remove
appTerm
nil
cons
cons
3790
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
3784
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
3784
ref
1138
ref
appTerm
betaConv
appThm
3784
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
3784
ref
170
ref
appTerm
betaConv
absThm
appThm
appThm
nil
597
ref
3784
remove
nil
cons
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
3787
remove
cons
78
ref
3789
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
178
ref
163
ref
3712
ref
3315
ref
appTerm
absTerm
appTerm
appTerm
3772
remove
appTerm
nil
cons
cons
31
ref
178
ref
442
ref
178
ref
163
ref
3404
ref
3319
ref
appTerm
4333
def
absTerm
4334
def
appTerm
4335
def
absTerm
4336
def
appTerm
4337
def
nil
cons
4338
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4336
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
4336
ref
1138
ref
appTerm
betaConv
appThm
4336
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
442
ref
4336
ref
445
ref
appTerm
4339
def
betaConv
4340
def
absThm
appThm
appThm
nil
597
ref
4336
remove
nil
cons
4341
def
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
4342
def
nil
4337
remove
thm
nil
183
ref
442
ref
178
ref
163
ref
3366
ref
3319
ref
appTerm
4343
def
absTerm
4344
def
appTerm
4345
def
absTerm
4346
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4345
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4344
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4343
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3366
ref
refl
3486
ref
appThm
sym
3274
ref
4334
ref
170
ref
appTerm
4347
def
betaConv
4340
remove
4342
remove
nil
30
ref
4338
remove
cons
31
ref
4339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4341
remove
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4335
remove
nil
cons
cons
31
ref
4347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4334
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4348
def
subst
eqMp
eqMp
4349
def
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4346
remove
appTerm
thm
596
ref
257
ref
163
ref
3711
ref
3265
ref
appThm
402
ref
appThm
167
ref
3553
ref
subst
4350
def
trans
absThm
appThm
278
ref
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
178
ref
163
ref
3365
ref
2882
ref
1138
ref
appTerm
170
ref
appTerm
4351
def
appTerm
1138
ref
appTerm
absTerm
appTerm
appTerm
4352
def
178
ref
163
ref
3365
ref
2882
ref
1139
ref
appTerm
170
ref
appTerm
4353
def
appTerm
1139
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4354
def
refl
appThm
nil
63
ref
4354
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1188
ref
178
ref
1135
ref
4352
remove
178
ref
163
ref
3365
ref
2882
ref
3214
ref
appTerm
170
ref
appTerm
4355
def
appTerm
3214
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
4356
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
4356
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
303
ref
32
ref
178
ref
163
ref
3365
ref
2882
ref
1192
ref
appTerm
4357
def
170
ref
appTerm
4358
def
appTerm
1192
ref
appTerm
absTerm
4359
def
appTerm
4360
def
appTerm
178
ref
163
ref
3365
ref
2882
ref
1193
ref
appTerm
4361
def
170
ref
appTerm
4362
def
appTerm
1193
ref
appTerm
absTerm
4363
def
appTerm
4364
def
appTerm
4365
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
4365
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4360
remove
nil
cons
4366
def
cons
4367
def
31
ref
4364
remove
nil
cons
4368
def
cons
nil
cons
4369
def
cons
nil
cons
cons
4370
def
49
ref
subst
4370
remove
121
ref
subst
596
ref
3711
ref
3242
ref
3287
ref
170
ref
appTerm
4371
def
betaConv
3286
remove
nil
30
ref
3288
remove
nil
cons
cons
31
ref
4371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3287
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
4372
def
appThm
1193
ref
refl
4373
def
appThm
3242
remove
3718
ref
subst
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
3365
ref
4361
ref
1138
ref
appTerm
4374
def
appTerm
1193
ref
appTerm
appTerm
4375
def
3365
ref
4361
ref
1139
ref
appTerm
4376
def
appTerm
1193
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4377
def
refl
appThm
nil
63
ref
4377
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1187
ref
178
ref
1135
ref
4375
remove
3365
ref
4361
ref
3192
ref
appTerm
4378
def
appTerm
1193
ref
appTerm
appTerm
absTerm
appTerm
4379
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
4379
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
301
ref
32
ref
3365
ref
4361
ref
1196
ref
appTerm
4380
def
appTerm
1193
ref
appTerm
4381
def
appTerm
3365
ref
4361
ref
1197
ref
appTerm
4382
def
appTerm
1193
ref
appTerm
4383
def
appTerm
4384
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
4384
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4381
remove
nil
cons
4385
def
cons
31
ref
4383
remove
nil
cons
4386
def
cons
nil
cons
cons
nil
cons
cons
4387
def
49
ref
subst
4387
remove
121
ref
subst
3711
ref
nil
183
ref
1939
ref
13
ref
1791
ref
4382
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
342
ref
38
ref
1190
ref
appTerm
4388
def
1194
ref
appTerm
4389
def
appTerm
4357
remove
1196
ref
appTerm
4390
def
appTerm
4391
def
appTerm
4392
def
1941
ref
appTerm
4393
def
appTerm
4394
def
absTerm
4395
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
4394
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
3818
ref
3072
ref
subst
appThm
4393
ref
refl
appThm
sym
3825
remove
nil
3832
remove
31
ref
13
ref
38
ref
3229
remove
appTerm
3199
remove
appTerm
appTerm
4393
remove
appTerm
4396
def
nil
cons
4397
def
cons
nil
cons
4398
def
cons
nil
cons
cons
4399
def
101
ref
subst
proveHyp
4399
ref
49
ref
subst
4399
remove
121
ref
subst
nil
183
ref
163
ref
3838
remove
4396
ref
appTerm
4400
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4400
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
3841
remove
4398
ref
cons
nil
cons
cons
4401
def
49
ref
subst
4401
remove
121
ref
subst
3843
remove
nil
3845
remove
4398
ref
cons
nil
cons
cons
4402
def
101
ref
subst
proveHyp
4402
ref
49
ref
subst
4402
remove
121
ref
subst
13
ref
"_29258"
162
ref
var
4403
def
13
ref
38
ref
3228
ref
4403
remove
varTerm
4404
def
appTerm
appTerm
3198
ref
4404
ref
appTerm
appTerm
appTerm
4392
ref
4404
remove
appTerm
appTerm
absTerm
4405
def
1941
ref
appTerm
4406
def
appTerm
refl
4407
def
4405
ref
254
ref
appTerm
betaConv
appThm
80
ref
4406
remove
betaConv
appThm
4408
def
13
ref
38
ref
3853
remove
appTerm
3854
remove
appTerm
appTerm
4392
ref
254
ref
appTerm
appTerm
refl
appThm
trans
4405
remove
refl
4409
def
3856
remove
appThm
eqMp
sym
80
ref
596
ref
3858
remove
appThm
3859
remove
appThm
appThm
nil
3857
remove
163
ref
4391
ref
nil
cons
cons
4410
def
nil
cons
4411
def
cons
nil
cons
cons
2157
ref
subst
2314
ref
nil
1135
ref
4390
ref
nil
cons
4412
def
cons
887
ref
4389
ref
nil
cons
4413
def
cons
nil
cons
cons
nil
cons
cons
4414
def
1603
ref
subst
appThm
401
ref
appThm
3869
remove
3072
ref
subst
trans
trans
appThm
nil
153
ref
38
ref
3870
remove
appTerm
3871
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
3872
remove
78
ref
4397
ref
cons
nil
cons
4415
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3874
remove
4415
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
3875
remove
4396
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
3876
remove
4396
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
3877
remove
4415
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
3879
remove
4398
remove
cons
nil
cons
cons
4416
def
49
ref
subst
4416
remove
121
ref
subst
4407
remove
"_29256"
162
ref
var
4417
def
13
ref
38
ref
3228
remove
4417
remove
varTerm
4418
def
appTerm
appTerm
3198
remove
4418
ref
appTerm
appTerm
appTerm
4392
ref
4418
remove
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
4408
remove
13
ref
38
ref
3237
remove
appTerm
3238
remove
appTerm
appTerm
4392
remove
164
ref
appTerm
appTerm
refl
appThm
trans
4409
remove
3883
remove
appThm
eqMp
sym
80
ref
596
ref
3243
remove
appThm
3248
remove
appThm
appThm
nil
4411
remove
nil
cons
cons
2161
ref
subst
4414
ref
1329
ref
subst
trans
appThm
nil
153
ref
4413
ref
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
3884
ref
4415
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
3884
remove
3885
remove
839
ref
4397
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
3886
remove
4415
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
4395
remove
appTerm
nil
cons
cons
31
ref
242
ref
4382
ref
appTerm
4391
remove
appTerm
4419
def
nil
cons
4420
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
4410
remove
442
ref
4382
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
4421
def
appThm
4373
remove
appThm
nil
3898
ref
3899
remove
303
ref
4412
ref
cons
1188
ref
4413
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
4249
ref
subst
trans
sym
nil
30
ref
242
ref
4390
ref
appTerm
1192
ref
appTerm
4422
def
nil
cons
4423
def
cons
31
ref
19
ref
407
ref
4390
ref
appTerm
1192
ref
appTerm
4424
def
appTerm
38
ref
4422
ref
appTerm
3365
ref
286
ref
4389
ref
appTerm
4425
def
appTerm
3911
remove
appTerm
appTerm
4426
def
appTerm
nil
cons
4427
def
cons
nil
cons
4428
def
cons
nil
cons
cons
4429
def
49
ref
subst
4429
remove
121
ref
subst
596
ref
387
ref
4422
remove
assume
appThm
1192
ref
refl
appThm
4262
remove
trans
appThm
3711
ref
nil
284
ref
4413
remove
cons
nil
cons
nil
cons
cons
300
ref
subst
appThm
4263
remove
appThm
appThm
nil
63
ref
3365
ref
294
ref
4389
ref
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
4264
ref
appTerm
nil
cons
4430
def
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
4270
ref
31
ref
4430
ref
cons
nil
cons
4431
def
cons
nil
cons
cons
4432
def
49
ref
subst
4432
remove
121
ref
subst
13
ref
"_29262"
1
ref
var
4433
def
3365
ref
294
ref
4388
ref
4433
remove
varTerm
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
4264
ref
appTerm
absTerm
4434
def
1194
ref
appTerm
4435
def
appTerm
refl
4436
def
4434
ref
191
ref
appTerm
betaConv
appThm
80
ref
4435
remove
betaConv
appThm
4437
def
3365
ref
294
ref
4388
ref
191
ref
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
4264
ref
appTerm
refl
appThm
trans
4434
remove
refl
4438
def
4279
ref
appThm
eqMp
sym
3711
ref
630
ref
4281
ref
63
ref
13
ref
3294
remove
191
ref
appTerm
appTerm
191
ref
appTerm
absTerm
4439
def
65
ref
appTerm
4440
def
betaConv
nil
150
ref
4439
ref
appTerm
4441
def
axiom
nil
30
ref
4441
remove
nil
cons
cons
31
ref
4440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
4439
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4442
def
subst
appThm
675
ref
appThm
402
ref
appThm
325
remove
trans
appThm
4264
ref
refl
4443
def
appThm
4282
remove
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4284
ref
78
ref
4430
ref
cons
nil
cons
4444
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4288
ref
4431
remove
cons
nil
cons
cons
4445
def
49
ref
subst
4445
remove
121
ref
subst
4436
remove
"_29260"
1
ref
var
4446
def
3365
ref
294
ref
4388
ref
4446
remove
varTerm
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
4264
ref
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
4437
remove
3365
ref
294
ref
4388
ref
55
ref
appTerm
appTerm
283
ref
appTerm
164
ref
appTerm
appTerm
4264
remove
appTerm
refl
appThm
trans
4438
remove
4291
ref
appThm
eqMp
sym
3711
ref
630
ref
4281
remove
4001
ref
subst
appThm
675
ref
appThm
402
ref
appThm
appThm
4443
remove
appThm
4283
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4321
ref
4444
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4323
ref
nil
4321
ref
4324
ref
839
ref
4430
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
4424
ref
nil
cons
4447
def
cons
4448
def
78
ref
4426
ref
nil
cons
4449
def
cons
nil
cons
cons
nil
cons
cons
2995
remove
subst
proveHyp
eqMp
nil
76
ref
4423
ref
cons
78
ref
4427
ref
cons
nil
cons
4450
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
4447
ref
cons
4428
remove
cons
nil
cons
cons
4451
def
49
ref
subst
4451
remove
121
ref
subst
134
ref
nil
63
ref
4447
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4424
remove
assume
eqMp
appThm
4426
remove
refl
appThm
nil
63
ref
4449
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
4448
ref
4450
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
3257
ref
442
ref
4412
ref
cons
nil
cons
cons
nil
cons
cons
3945
remove
subst
4359
ref
1196
ref
appTerm
4452
def
betaConv
nil
4367
remove
31
ref
4452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
4359
remove
nil
cons
cons
4187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
4448
remove
78
ref
4423
remove
cons
839
ref
4427
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
4385
remove
cons
78
ref
4386
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
3365
ref
4361
remove
164
ref
appTerm
4453
def
appTerm
1193
ref
appTerm
appTerm
4377
remove
appTerm
nil
cons
cons
4369
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4363
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
4363
ref
1138
ref
appTerm
betaConv
appThm
4363
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
4363
ref
170
ref
appTerm
betaConv
absThm
appThm
appThm
nil
597
ref
4363
remove
nil
cons
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
4366
remove
cons
78
ref
4368
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
178
ref
163
ref
3365
ref
2883
ref
appTerm
164
ref
appTerm
absTerm
appTerm
appTerm
4354
remove
appTerm
nil
cons
cons
31
ref
178
ref
442
ref
178
ref
163
ref
3365
ref
2887
ref
appTerm
4454
def
445
ref
appTerm
4455
def
absTerm
4456
def
appTerm
4457
def
absTerm
4458
def
appTerm
4459
def
nil
cons
4460
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4458
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
4458
ref
1138
ref
appTerm
betaConv
appThm
4458
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
442
ref
4458
ref
445
ref
appTerm
4461
def
betaConv
4462
def
absThm
appThm
appThm
nil
597
ref
4458
remove
nil
cons
4463
def
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
4464
def
nil
4459
remove
thm
nil
183
ref
442
ref
178
ref
163
ref
4454
ref
170
ref
appTerm
4465
def
absTerm
4466
def
appTerm
4467
def
absTerm
4468
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4467
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4466
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4465
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3711
ref
3285
ref
appThm
401
ref
appThm
sym
3274
ref
4456
ref
170
ref
appTerm
4469
def
betaConv
4462
remove
4464
remove
nil
30
ref
4460
remove
cons
31
ref
4461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4463
remove
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4457
remove
nil
cons
cons
31
ref
4469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4456
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4470
def
subst
eqMp
eqMp
4471
def
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4468
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
3365
ref
2458
ref
appTerm
4472
def
170
ref
appTerm
4473
def
absTerm
4474
def
appTerm
4475
def
absTerm
4476
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4475
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4474
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4473
remove
nil
cons
4477
def
cons
nil
cons
nil
cons
cons
69
ref
subst
2581
ref
38
ref
4472
remove
2588
ref
appTerm
appTerm
3365
ref
2588
ref
appTerm
4478
def
170
ref
appTerm
appTerm
absTerm
4479
def
2472
ref
appTerm
betaConv
sym
596
ref
2482
ref
3695
ref
subst
appThm
3365
ref
2472
ref
appTerm
170
ref
appTerm
4480
def
refl
appThm
nil
63
ref
4480
remove
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
3711
ref
2541
ref
appThm
4481
def
401
ref
appThm
3553
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
182
ref
183
ref
4479
ref
nil
cons
cons
184
ref
2472
ref
nil
cons
4482
def
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
4479
remove
appTerm
nil
cons
cons
31
ref
4477
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
2622
ref
2480
ref
cons
nil
cons
cons
4109
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4476
remove
appTerm
thm
nil
152
ref
284
ref
13
ref
289
ref
164
ref
appTerm
appTerm
160
ref
287
ref
appTerm
appTerm
4483
def
absTerm
4484
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
4483
remove
nil
cons
4485
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
1258
ref
31
ref
4485
ref
cons
nil
cons
4486
def
cons
nil
cons
cons
4487
def
49
ref
subst
4487
remove
121
ref
subst
13
ref
"_29013"
1
ref
var
4488
def
13
ref
242
ref
286
ref
4488
remove
varTerm
4489
def
appTerm
appTerm
164
ref
appTerm
appTerm
160
ref
4489
remove
appTerm
appTerm
absTerm
4490
def
287
ref
appTerm
4491
def
appTerm
refl
4492
def
4490
remove
191
ref
appTerm
betaConv
appThm
80
ref
4491
remove
betaConv
appThm
4493
def
13
ref
329
remove
appTerm
235
ref
appTerm
refl
appThm
trans
4484
ref
refl
4494
def
1271
ref
appThm
eqMp
sym
80
ref
387
ref
326
ref
appThm
4495
def
402
ref
appThm
820
ref
trans
appThm
236
ref
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1272
ref
78
ref
4485
ref
cons
nil
cons
4496
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
1276
ref
4486
remove
cons
nil
cons
cons
4497
def
49
ref
subst
4497
remove
121
ref
subst
4492
remove
"_29011"
1
ref
var
4498
def
13
ref
242
ref
286
ref
4498
remove
varTerm
4499
def
appTerm
appTerm
164
ref
appTerm
appTerm
160
ref
4499
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
4493
remove
13
ref
2850
remove
164
ref
appTerm
appTerm
1310
ref
appTerm
refl
appThm
trans
4494
remove
1281
ref
appThm
eqMp
sym
80
ref
387
ref
3546
ref
appThm
402
ref
appThm
3512
ref
trans
appThm
1311
ref
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
1286
ref
4496
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1288
ref
nil
1286
ref
1289
ref
839
ref
4485
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
150
ref
4484
remove
appTerm
thm
1082
ref
284
ref
387
ref
nil
1006
remove
1153
ref
cons
nil
cons
cons
1133
ref
subst
3577
remove
refl
384
ref
appThm
1184
ref
trans
trans
appThm
3575
ref
appThm
3576
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
284
ref
242
ref
331
ref
516
ref
287
ref
appTerm
6
ref
appTerm
appTerm
appTerm
288
ref
appTerm
absTerm
appTerm
thm
nil
152
ref
284
ref
13
ref
289
remove
283
ref
appTerm
appTerm
287
ref
appTerm
4500
def
absTerm
4501
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
4500
remove
nil
cons
4502
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
1258
remove
31
ref
4502
ref
cons
nil
cons
4503
def
cons
nil
cons
cons
4504
def
49
ref
subst
4504
remove
121
ref
subst
13
ref
"_29009"
1
ref
var
4505
def
13
ref
242
ref
286
ref
4505
remove
varTerm
4506
def
appTerm
appTerm
283
ref
appTerm
appTerm
4506
remove
appTerm
absTerm
4507
def
287
ref
appTerm
4508
def
appTerm
refl
4509
def
4507
remove
191
ref
appTerm
betaConv
appThm
80
ref
4508
remove
betaConv
appThm
4510
def
13
ref
328
remove
283
ref
appTerm
appTerm
191
ref
appTerm
refl
appThm
trans
4501
ref
refl
4511
def
1271
remove
appThm
eqMp
sym
4495
remove
253
ref
appThm
167
ref
1671
remove
subst
4512
def
trans
eqMp
eqMp
nil
1272
remove
78
ref
4502
ref
cons
nil
cons
4513
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
1276
remove
4503
remove
cons
nil
cons
cons
4514
def
49
ref
subst
4514
remove
121
ref
subst
4509
remove
"_29007"
1
ref
var
4515
def
13
ref
242
ref
286
ref
4515
remove
varTerm
4516
def
appTerm
appTerm
283
ref
appTerm
appTerm
4516
remove
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
4510
remove
13
ref
2851
remove
appTerm
55
ref
appTerm
refl
appThm
trans
4511
remove
1281
remove
appThm
eqMp
sym
387
ref
1285
ref
appThm
675
ref
appThm
3573
remove
trans
eqMp
eqMp
nil
1286
ref
4513
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
1288
remove
nil
1286
remove
1289
remove
839
ref
4502
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
150
ref
4501
remove
appTerm
thm
257
ref
163
ref
161
ref
1319
remove
appThm
236
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
160
ref
169
ref
1400
ref
appTerm
appTerm
absTerm
appTerm
thm
257
ref
163
ref
390
remove
1956
ref
283
ref
appTerm
4517
def
appTerm
4518
def
assume
sym
242
ref
4517
remove
appTerm
389
ref
appTerm
4519
def
assume
sym
deductAntisym
absThm
appThm
257
ref
163
ref
387
ref
nil
522
ref
304
remove
cons
nil
cons
nil
cons
cons
4520
def
2002
remove
subst
2003
remove
406
remove
163
ref
242
ref
1992
ref
170
ref
appTerm
283
ref
appTerm
appTerm
170
ref
appTerm
absTerm
4521
def
170
ref
appTerm
4522
def
betaConv
nil
178
ref
4521
ref
appTerm
4523
def
axiom
nil
30
ref
4523
remove
nil
cons
cons
31
ref
4522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4521
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
4524
def
appThm
trans
appThm
400
remove
appThm
nil
184
ref
2732
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
4525
def
eqMp
nil
178
ref
163
ref
4518
remove
absTerm
appTerm
thm
279
remove
nil
280
remove
thm
498
ref
167
ref
542
ref
subst
appThm
3591
ref
appThm
549
ref
trans
sym
68
ref
eqMp
nil
30
ref
497
ref
504
ref
164
ref
appTerm
4526
def
164
ref
appTerm
appTerm
3594
ref
appTerm
4527
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
497
ref
4526
ref
525
ref
appTerm
appTerm
3596
ref
appTerm
4528
def
appTerm
497
ref
4526
remove
553
ref
appTerm
appTerm
3598
remove
appTerm
4529
def
appTerm
4530
def
absTerm
4531
def
appTerm
4532
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4531
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4530
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4528
ref
nil
cons
4533
def
cons
31
ref
4529
remove
nil
cons
4534
def
cons
nil
cons
cons
nil
cons
cons
4535
def
49
ref
subst
4535
remove
121
ref
subst
498
ref
167
ref
576
ref
subst
859
ref
234
ref
appThm
861
ref
461
ref
appThm
1806
ref
appThm
4528
ref
assume
trans
appThm
trans
appThm
3614
remove
appThm
nil
105
ref
516
ref
191
ref
appTerm
3596
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
4533
remove
cons
78
ref
4534
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4527
remove
appTerm
4532
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
4528
remove
absTerm
4536
def
appTerm
4537
def
nil
cons
4538
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4536
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4536
ref
525
ref
appTerm
4539
def
betaConv
4540
def
appThm
4536
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4540
ref
absThm
appThm
appThm
nil
597
ref
4536
remove
nil
cons
4541
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
4542
def
nil
4537
remove
thm
4525
remove
nil
178
ref
163
ref
4519
remove
absTerm
appTerm
thm
nil
183
ref
163
ref
242
ref
2578
remove
389
ref
appTerm
appTerm
170
ref
appTerm
4543
def
absTerm
4544
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4543
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2747
ref
eqMp
absThm
eqMp
nil
178
ref
4544
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
13
ref
169
ref
1139
ref
appTerm
appTerm
969
ref
appTerm
absTerm
4545
def
appTerm
4546
def
absTerm
4547
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
4546
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4545
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
80
ref
1329
ref
appThm
1032
remove
appThm
1037
remove
trans
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
4547
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
242
ref
3169
ref
appTerm
1138
ref
appTerm
4548
def
absTerm
4549
def
appTerm
4550
def
absTerm
4551
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
4550
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4549
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
4548
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
1603
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
4551
remove
appTerm
thm
257
ref
163
ref
257
ref
522
ref
387
ref
2212
ref
appThm
1806
ref
appThm
nil
575
ref
nil
cons
cons
425
ref
subst
4552
def
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
178
ref
522
ref
242
ref
942
ref
526
ref
appTerm
appTerm
525
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
80
ref
257
ref
163
ref
257
ref
522
ref
163
ref
522
ref
3365
ref
463
ref
2458
ref
appTerm
appTerm
525
ref
appTerm
4553
def
absTerm
4554
def
absTerm
4555
def
170
ref
appTerm
betaConv
1806
ref
appThm
4554
ref
525
ref
appTerm
4556
def
betaConv
4557
def
trans
4558
def
absThm
appThm
absThm
appThm
appThm
257
ref
522
ref
257
ref
163
ref
4558
remove
absThm
appThm
absThm
appThm
appThm
nil
1808
ref
4555
remove
nil
cons
cons
nil
cons
nil
cons
cons
1817
ref
subst
eqMp
sym
257
ref
163
ref
3711
ref
865
ref
2563
ref
appThm
492
ref
trans
appThm
402
ref
appThm
4350
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
3365
ref
463
ref
2545
ref
appTerm
appTerm
164
ref
appTerm
absTerm
appTerm
4559
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
178
ref
163
ref
4553
ref
absTerm
4560
def
appTerm
4561
def
appTerm
178
ref
163
ref
3365
ref
463
ref
2567
ref
appTerm
appTerm
553
ref
appTerm
4562
def
absTerm
4563
def
appTerm
4564
def
appTerm
4565
def
absTerm
4566
def
appTerm
4567
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4566
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4565
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4561
ref
nil
cons
4568
def
cons
4569
def
31
ref
4564
remove
nil
cons
4570
def
cons
nil
cons
cons
nil
cons
cons
4571
def
49
ref
subst
4571
remove
121
ref
subst
nil
183
ref
4563
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4562
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3711
ref
865
ref
2753
ref
appThm
appThm
553
ref
refl
appThm
sym
2581
ref
38
ref
3365
ref
463
ref
2584
ref
appTerm
4572
def
appTerm
4573
def
2588
ref
appTerm
appTerm
4478
ref
553
ref
appTerm
appTerm
absTerm
4574
def
245
ref
463
ref
2583
remove
appTerm
4575
def
appTerm
4576
def
appTerm
betaConv
sym
596
ref
2640
ref
nil
63
ref
3365
ref
463
ref
1139
ref
appTerm
4577
def
appTerm
245
ref
463
ref
1138
ref
appTerm
4578
def
appTerm
4579
def
appTerm
4580
def
nil
cons
4581
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
160
ref
1147
ref
appTerm
4582
def
nil
cons
4583
def
cons
4584
def
31
ref
4581
ref
cons
nil
cons
4585
def
cons
nil
cons
cons
4586
def
49
ref
subst
4586
remove
121
ref
subst
nil
4584
ref
31
ref
242
ref
4577
ref
appTerm
4579
ref
appTerm
4587
def
nil
cons
4588
def
cons
nil
cons
cons
nil
cons
cons
4589
def
49
ref
subst
4589
remove
121
ref
subst
387
ref
1341
remove
853
ref
subst
appThm
4579
ref
refl
appThm
sym
387
ref
630
ref
1620
ref
1146
ref
refl
4590
def
nil
4584
remove
31
ref
13
ref
1147
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
3122
ref
cons
4591
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
4592
def
appThm
nil
63
ref
3121
remove
cons
nil
cons
nil
cons
cons
4442
ref
subst
trans
trans
appThm
402
ref
appThm
673
ref
865
ref
1603
ref
appThm
appThm
675
ref
appThm
appThm
nil
301
ref
467
ref
4578
ref
appTerm
283
ref
appTerm
nil
cons
4593
def
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
appThm
nil
442
ref
4578
remove
nil
cons
cons
nil
cons
nil
cons
cons
4037
remove
subst
appThm
nil
184
ref
4593
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
4583
ref
cons
4594
def
78
ref
4588
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4595
def
nil
30
ref
32
ref
4582
remove
appTerm
4587
ref
appTerm
4596
def
nil
cons
4597
def
cons
4585
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
161
ref
4592
remove
appThm
236
ref
trans
appThm
4587
ref
refl
appThm
nil
63
ref
4588
ref
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
4580
ref
refl
appThm
sym
nil
30
ref
4588
ref
cons
4585
ref
cons
nil
cons
cons
4598
def
49
ref
subst
4598
remove
121
ref
subst
13
ref
"_29082"
162
ref
var
4599
def
3365
ref
4599
remove
varTerm
appTerm
4579
ref
appTerm
absTerm
4600
def
4577
remove
appTerm
4601
def
appTerm
refl
4600
ref
4579
ref
appTerm
betaConv
appThm
80
ref
4601
remove
betaConv
appThm
3365
ref
4579
ref
appTerm
4579
ref
appTerm
refl
appThm
trans
4600
remove
refl
4587
remove
assume
appThm
eqMp
sym
nil
163
ref
4579
remove
nil
cons
cons
nil
cons
nil
cons
cons
3552
ref
subst
eqMp
eqMp
nil
76
ref
4588
remove
cons
78
ref
4581
ref
cons
nil
cons
4602
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
4594
remove
4602
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
3122
ref
cons
4585
remove
cons
nil
cons
cons
4603
def
49
ref
subst
4603
remove
121
ref
subst
3711
ref
865
ref
1126
ref
1147
ref
assume
4604
def
appThm
1254
ref
1184
ref
subst
trans
appThm
1254
ref
3574
remove
subst
trans
appThm
251
ref
865
ref
4604
remove
appThm
492
ref
trans
appThm
appThm
sym
nil
3527
remove
1452
ref
cons
nil
cons
cons
163
ref
3938
ref
3528
remove
appTerm
4605
def
absTerm
4606
def
170
ref
appTerm
4607
def
betaConv
442
ref
178
ref
4606
ref
appTerm
4608
def
absTerm
4609
def
445
ref
appTerm
4610
def
betaConv
257
ref
442
ref
257
ref
163
ref
4605
remove
assume
sym
3529
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
3536
remove
eqMp
nil
30
ref
178
ref
4609
ref
appTerm
nil
cons
cons
31
ref
4610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4609
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4608
remove
nil
cons
cons
31
ref
4607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4606
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
407
ref
1154
remove
appTerm
refl
251
ref
242
ref
423
ref
appTerm
283
ref
appTerm
assume
sym
2854
remove
423
ref
appTerm
assume
sym
deductAntisym
253
ref
eqMp
appThm
242
ref
245
ref
283
ref
appTerm
4611
def
appTerm
393
ref
appTerm
assume
sym
760
ref
4611
ref
appTerm
assume
sym
deductAntisym
426
ref
eqMp
trans
appThm
1254
remove
3555
remove
subst
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4591
ref
4602
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
1147
ref
appTerm
4612
def
betaConv
833
ref
nil
834
ref
31
ref
4612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
3122
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
4591
remove
78
ref
4583
remove
cons
839
ref
4581
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
4613
def
subst
appThm
nil
578
ref
442
ref
4575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3751
ref
subst
521
ref
nil
63
ref
4553
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
4560
ref
170
ref
appTerm
4614
def
betaConv
nil
4569
remove
31
ref
4614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
4560
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
subst
trans
appThm
750
ref
trans
sym
68
ref
eqMp
eqMp
182
ref
183
ref
4574
ref
nil
cons
cons
184
ref
4576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
4574
remove
appTerm
nil
cons
cons
31
ref
4573
remove
553
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
1978
remove
cons
442
ref
4572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4109
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
4568
remove
cons
78
ref
4570
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4559
remove
appTerm
4567
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
4561
remove
absTerm
4615
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4615
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4615
ref
525
ref
appTerm
betaConv
4616
def
appThm
4615
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4616
remove
absThm
appThm
appThm
nil
597
ref
4615
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
4617
def
nil
178
ref
163
ref
178
ref
4554
ref
appTerm
4618
def
absTerm
4619
def
appTerm
4620
def
thm
nil
183
ref
163
ref
3150
remove
absTerm
4621
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3151
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3149
remove
eqMp
absThm
eqMp
nil
178
ref
4621
remove
appTerm
thm
nil
183
ref
163
ref
717
ref
1993
ref
464
ref
appTerm
appTerm
4622
def
absTerm
4623
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4622
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
717
ref
refl
1993
ref
refl
476
ref
appThm
appThm
sym
80
ref
"_29001"
162
ref
var
4624
def
717
ref
1993
ref
4624
remove
varTerm
appTerm
appTerm
absTerm
4625
def
472
ref
appTerm
betaConv
appThm
596
ref
3183
ref
refl
4626
def
4625
ref
164
ref
appTerm
betaConv
appThm
appThm
2521
ref
4625
ref
471
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
685
remove
cons
1696
ref
1697
ref
668
ref
cons
nil
cons
cons
cons
nil
cons
cons
4627
def
nil
1698
ref
4625
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
817
ref
31
ref
717
ref
1993
ref
164
ref
appTerm
4628
def
appTerm
4629
def
nil
cons
4630
def
cons
nil
cons
cons
nil
cons
cons
4631
def
49
ref
subst
4631
remove
121
ref
subst
3525
remove
819
ref
appThm
4632
def
2008
remove
253
ref
trans
4633
def
appThm
167
ref
741
remove
subst
trans
sym
68
ref
eqMp
eqMp
nil
669
ref
78
ref
4630
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
3183
ref
4629
remove
appTerm
nil
cons
cons
31
ref
767
ref
717
ref
1993
ref
471
ref
appTerm
appTerm
4634
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
661
ref
31
ref
4634
remove
nil
cons
4635
def
cons
nil
cons
4636
def
cons
nil
cons
cons
4637
def
49
ref
subst
4637
remove
121
ref
subst
751
remove
nil
752
remove
4636
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
2872
ref
163
ref
726
remove
717
ref
1992
ref
525
ref
appTerm
4638
def
467
ref
728
ref
appTerm
283
ref
appTerm
appTerm
appTerm
appTerm
absTerm
4639
def
170
ref
appTerm
4640
def
betaConv
522
ref
178
ref
4639
ref
appTerm
4641
def
absTerm
4642
def
525
ref
appTerm
4643
def
betaConv
nil
178
ref
4642
ref
appTerm
4644
def
axiom
nil
30
ref
4644
remove
nil
cons
cons
31
ref
4643
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4642
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4641
remove
nil
cons
cons
31
ref
4640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4639
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
815
ref
78
ref
4635
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
4645
def
absThm
eqMp
nil
178
ref
4623
remove
appTerm
thm
2158
remove
nil
2159
remove
thm
657
remove
nil
654
remove
thm
nil
183
ref
163
ref
13
ref
502
ref
6
ref
appTerm
appTerm
412
ref
appTerm
4646
def
absTerm
4647
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4646
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
930
remove
eqMp
absThm
eqMp
nil
178
ref
4647
remove
appTerm
thm
257
ref
163
ref
387
ref
251
ref
nil
1135
ref
185
ref
cons
4648
def
2618
ref
cons
nil
cons
cons
1170
ref
subst
4649
def
2620
ref
1400
ref
refl
4650
def
appThm
4651
def
trans
appThm
appThm
nil
4648
remove
887
ref
270
ref
cons
nil
cons
4652
def
cons
nil
cons
cons
1170
ref
subst
4653
def
673
ref
3546
remove
appThm
4654
def
4650
ref
appThm
nil
163
ref
1400
ref
nil
cons
4655
def
cons
4656
def
444
ref
cons
nil
cons
cons
163
ref
242
ref
467
ref
635
ref
appTerm
170
ref
appTerm
appTerm
245
ref
1235
ref
appTerm
4657
def
appTerm
absTerm
4658
def
170
ref
appTerm
4659
def
betaConv
442
ref
178
ref
4658
ref
appTerm
4660
def
absTerm
4661
def
445
ref
appTerm
4662
def
betaConv
nil
178
ref
4661
ref
appTerm
4663
def
axiom
nil
30
ref
4663
remove
nil
cons
cons
31
ref
4662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4661
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4660
remove
nil
cons
cons
31
ref
4659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4658
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4664
def
subst
trans
trans
appThm
nil
184
ref
245
ref
2276
ref
1400
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
245
ref
1150
ref
170
ref
appTerm
4665
def
appTerm
appTerm
342
remove
55
ref
appTerm
4666
def
170
ref
appTerm
4667
def
appTerm
absTerm
appTerm
thm
257
ref
163
ref
387
ref
2776
ref
253
ref
appThm
1991
remove
2753
ref
subst
2579
remove
521
ref
2563
ref
subst
appThm
2697
remove
1184
ref
subst
trans
trans
trans
appThm
2645
ref
refl
appThm
nil
184
ref
2646
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
2457
ref
283
ref
appTerm
appTerm
2645
ref
appTerm
absTerm
appTerm
thm
nil
104
ref
4
ref
18
remove
936
remove
appTerm
4668
def
absTerm
4669
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
4668
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2454
remove
eqMp
absThm
eqMp
nil
28
ref
4669
remove
appTerm
thm
80
ref
1667
remove
appThm
nil
"p"
11
ref
var
160
ref
nil
cons
cons
nil
cons
nil
cons
cons
4670
def
138
ref
nil
63
ref
"Data.List.all"
const
4671
def
10
ref
109
ref
891
remove
cons
opType
constTerm
124
ref
appTerm
4672
def
143
ref
appTerm
4673
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
123
ref
4673
remove
absTerm
4674
def
124
ref
appTerm
4675
def
betaConv
nil
1712
ref
4674
ref
appTerm
4676
def
axiom
nil
30
ref
4676
remove
nil
cons
cons
31
ref
4675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1714
ref
1715
ref
4674
remove
nil
cons
cons
1717
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
subst
subst
appThm
957
ref
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
386
remove
appTerm
4671
remove
10
ref
11
remove
496
remove
cons
opType
constTerm
160
ref
appTerm
4677
def
6
ref
appTerm
appTerm
4678
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
13
ref
1634
remove
appTerm
4677
ref
962
ref
appTerm
4679
def
appTerm
4680
def
appTerm
3730
ref
4677
ref
971
ref
appTerm
appTerm
4681
def
appTerm
4682
def
absTerm
4683
def
appTerm
4684
def
absTerm
4685
def
appTerm
4686
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
4685
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
4684
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
4683
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
4682
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4680
ref
nil
cons
4687
def
cons
31
ref
4681
remove
nil
cons
4688
def
cons
nil
cons
cons
nil
cons
cons
4689
def
49
ref
subst
4689
remove
121
ref
subst
80
ref
1134
remove
1621
remove
4590
remove
4680
remove
assume
appThm
trans
trans
appThm
4670
remove
138
ref
890
ref
13
ref
4672
ref
900
ref
appTerm
appTerm
38
ref
124
ref
897
ref
appTerm
appTerm
4672
remove
899
ref
appTerm
appTerm
appTerm
absTerm
4690
def
899
ref
appTerm
4691
def
betaConv
896
ref
906
ref
4690
ref
appTerm
4692
def
absTerm
4693
def
897
ref
appTerm
4694
def
betaConv
123
ref
111
ref
4693
ref
appTerm
4695
def
absTerm
4696
def
124
ref
appTerm
4697
def
betaConv
nil
1712
ref
4696
ref
appTerm
4698
def
axiom
nil
30
ref
4698
remove
nil
cons
cons
31
ref
4697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1714
ref
1715
ref
4696
remove
nil
cons
cons
1717
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4695
remove
nil
cons
cons
31
ref
4694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
4693
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4692
remove
nil
cons
cons
31
ref
4691
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
4690
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
153
ref
1146
remove
4679
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
4687
remove
cons
78
ref
4688
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4678
remove
appTerm
4686
remove
appTerm
nil
cons
cons
31
ref
28
ref
4
ref
13
ref
1659
remove
appTerm
4677
remove
16
ref
appTerm
appTerm
absTerm
4699
def
appTerm
4700
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4699
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
4699
ref
962
ref
appTerm
betaConv
appThm
4699
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
4699
ref
16
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1084
ref
4699
remove
nil
cons
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
nil
4700
remove
thm
nil
183
ref
442
ref
178
ref
163
ref
3281
remove
absTerm
4701
def
appTerm
4702
def
absTerm
4703
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4702
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4701
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3282
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3285
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4703
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
3481
remove
absTerm
4704
def
appTerm
4705
def
absTerm
4706
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
4705
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4704
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
3482
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3486
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4706
remove
appTerm
thm
257
ref
442
ref
257
ref
163
ref
nil
3484
remove
2622
ref
3273
ref
nil
cons
4707
def
cons
cons
nil
cons
cons
3391
remove
subst
596
ref
nil
63
ref
4333
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
4348
remove
eqMp
appThm
4349
remove
appThm
750
ref
trans
trans
4708
def
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
442
ref
178
ref
163
ref
3365
ref
3324
remove
445
ref
appTerm
170
ref
appTerm
4709
def
appTerm
4710
def
3319
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
257
ref
442
ref
257
ref
163
ref
nil
2622
ref
3273
ref
3284
remove
cons
cons
nil
cons
cons
687
ref
13
ref
3404
ref
3023
remove
appTerm
appTerm
4062
ref
4067
ref
appTerm
appTerm
absTerm
4711
def
691
ref
appTerm
4712
def
betaConv
163
ref
178
ref
4711
ref
appTerm
4713
def
absTerm
4714
def
170
ref
appTerm
4715
def
betaConv
442
ref
178
ref
4714
ref
appTerm
4716
def
absTerm
4717
def
445
ref
appTerm
4718
def
betaConv
nil
178
ref
4717
ref
appTerm
4719
def
axiom
nil
30
ref
4719
remove
nil
cons
cons
31
ref
4718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4717
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4716
remove
nil
cons
cons
31
ref
4715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4714
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4713
remove
nil
cons
cons
31
ref
4712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4711
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
596
ref
nil
63
ref
4455
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
4470
remove
eqMp
appThm
4471
remove
appThm
750
ref
trans
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
442
ref
178
ref
163
ref
4454
remove
2894
ref
445
ref
appTerm
170
ref
appTerm
4720
def
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
2492
ref
appTerm
4721
def
525
ref
appTerm
appTerm
164
ref
appTerm
4722
def
absTerm
4723
def
appTerm
4724
def
absTerm
4725
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4724
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4723
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4722
ref
nil
cons
4726
def
cons
nil
cons
nil
cons
cons
4727
def
69
ref
subst
522
ref
242
ref
4721
ref
2276
ref
525
ref
appTerm
4728
def
appTerm
appTerm
2469
ref
2545
ref
appTerm
525
ref
appTerm
appTerm
4729
def
absTerm
4730
def
525
ref
appTerm
4731
def
betaConv
"j"
162
ref
var
4732
def
178
ref
522
ref
242
ref
4721
ref
467
ref
4732
ref
varTerm
4733
def
appTerm
4734
def
525
ref
appTerm
4735
def
appTerm
appTerm
2469
ref
2457
ref
4733
ref
appTerm
4736
def
appTerm
4737
def
525
ref
appTerm
4738
def
appTerm
4739
def
absTerm
4740
def
appTerm
4741
def
absTerm
4742
def
164
ref
appTerm
4743
def
betaConv
nil
183
ref
4742
ref
nil
cons
cons
4744
def
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
4741
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4740
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4739
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
4739
remove
absTerm
4745
def
170
ref
appTerm
4746
def
betaConv
4747
def
522
ref
178
ref
4745
ref
appTerm
4748
def
absTerm
4749
def
525
ref
appTerm
4750
def
betaConv
4751
def
257
ref
163
ref
387
ref
3309
ref
2554
ref
appThm
nil
442
ref
4733
ref
nil
cons
4752
def
cons
nil
cons
4753
def
nil
cons
cons
1183
ref
subst
4754
def
appThm
appThm
nil
163
ref
4736
ref
nil
cons
4755
def
cons
nil
cons
4756
def
nil
cons
cons
4757
def
2554
ref
subst
appThm
nil
184
ref
4755
ref
cons
nil
cons
4758
def
nil
cons
cons
425
ref
subst
4759
def
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
242
ref
2456
ref
3502
ref
appTerm
4734
ref
164
ref
appTerm
4760
def
appTerm
appTerm
4737
ref
164
ref
appTerm
appTerm
absTerm
appTerm
4761
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
4748
ref
appTerm
178
ref
163
ref
242
ref
2456
ref
2609
ref
appTerm
4734
ref
553
ref
appTerm
4762
def
appTerm
appTerm
4737
remove
553
ref
appTerm
appTerm
absTerm
appTerm
4763
def
appTerm
4764
def
absTerm
4765
def
appTerm
4766
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4765
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4764
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4748
remove
nil
cons
4767
def
cons
4768
def
31
ref
4763
remove
nil
cons
4769
def
cons
nil
cons
cons
nil
cons
cons
4770
def
49
ref
subst
4770
remove
121
ref
subst
257
ref
163
ref
387
ref
3309
ref
2636
ref
appThm
nil
578
ref
4753
remove
cons
nil
cons
cons
4771
def
163
ref
242
ref
633
ref
254
ref
appTerm
appTerm
4657
remove
appTerm
absTerm
4772
def
170
ref
appTerm
4773
def
betaConv
442
ref
178
ref
4772
ref
appTerm
4774
def
absTerm
4775
def
445
ref
appTerm
4776
def
betaConv
nil
178
ref
4775
ref
appTerm
4777
def
axiom
nil
30
ref
4777
remove
nil
cons
cons
31
ref
4776
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4775
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4774
remove
nil
cons
cons
31
ref
4773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4772
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4778
def
subst
4779
def
appThm
nil
522
ref
4735
ref
nil
cons
4780
def
cons
4781
def
163
ref
2611
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2753
ref
subst
1609
ref
2619
ref
1329
ref
subst
appThm
3309
ref
2619
ref
1603
ref
subst
4782
def
appThm
4735
ref
refl
appThm
4747
remove
nil
4768
remove
31
ref
4746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
4783
def
182
ref
183
ref
4745
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
4784
def
eqMp
eqMp
trans
appThm
trans
trans
appThm
4757
remove
2636
ref
subst
appThm
nil
184
ref
1150
ref
4738
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
4767
remove
cons
78
ref
4769
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4761
remove
appTerm
4766
remove
appTerm
nil
cons
cons
31
ref
178
ref
4749
ref
appTerm
nil
cons
4785
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4749
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4751
ref
appThm
4749
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4751
remove
absThm
appThm
appThm
nil
597
ref
4749
remove
nil
cons
4786
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
4785
remove
cons
31
ref
4750
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4786
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4783
remove
proveHyp
4784
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4787
def
nil
30
ref
178
ref
4742
remove
appTerm
4788
def
nil
cons
4789
def
cons
31
ref
4743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4744
remove
480
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
4730
ref
appTerm
nil
cons
cons
31
ref
4731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4730
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4729
remove
nil
cons
cons
31
ref
4726
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
387
ref
4721
remove
refl
580
ref
2299
ref
subst
4790
def
appThm
appThm
2638
ref
2563
ref
appThm
1806
ref
appThm
3500
ref
trans
appThm
appThm
4722
remove
refl
appThm
4727
remove
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4725
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
242
ref
1955
ref
2458
ref
appTerm
4791
def
525
ref
appTerm
appTerm
164
ref
appTerm
4792
def
absTerm
4793
def
appTerm
4794
def
absTerm
4795
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4794
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4793
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4792
ref
nil
cons
4796
def
cons
nil
cons
nil
cons
cons
4797
def
69
ref
subst
522
ref
242
ref
1955
ref
2457
ref
4728
ref
appTerm
appTerm
525
ref
appTerm
appTerm
2456
ref
1980
ref
appTerm
4798
def
164
ref
appTerm
appTerm
4799
def
absTerm
4800
def
525
ref
appTerm
4801
def
betaConv
4732
ref
178
ref
522
ref
242
ref
1955
ref
2457
ref
4735
ref
appTerm
appTerm
525
ref
appTerm
appTerm
4798
remove
4733
ref
appTerm
4802
def
appTerm
4803
def
absTerm
4804
def
appTerm
4805
def
absTerm
4806
def
164
ref
appTerm
4807
def
betaConv
nil
183
ref
4806
ref
nil
cons
cons
4808
def
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
4805
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4804
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4803
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
4803
remove
absTerm
4809
def
170
ref
appTerm
4810
def
betaConv
4811
def
522
ref
178
ref
4809
ref
appTerm
4812
def
absTerm
4813
def
525
ref
appTerm
4814
def
betaConv
4815
def
257
ref
163
ref
387
ref
nil
163
ref
2457
ref
4760
remove
appTerm
4816
def
nil
cons
cons
nil
cons
nil
cons
cons
2012
ref
subst
2776
ref
4754
remove
appThm
trans
appThm
3309
ref
2012
ref
appThm
4733
ref
refl
4817
def
appThm
appThm
4759
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
242
ref
1955
ref
4816
remove
appTerm
164
ref
appTerm
appTerm
2456
ref
2037
remove
appTerm
4733
ref
appTerm
appTerm
absTerm
appTerm
4818
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
4812
ref
appTerm
178
ref
163
ref
242
ref
1955
ref
2457
ref
4762
remove
appTerm
4819
def
appTerm
553
ref
appTerm
appTerm
2456
ref
1969
ref
appTerm
4733
ref
appTerm
appTerm
absTerm
appTerm
4820
def
appTerm
4821
def
absTerm
4822
def
appTerm
4823
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4822
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4821
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4812
remove
nil
cons
4824
def
cons
4825
def
31
ref
4820
remove
nil
cons
4826
def
cons
nil
cons
cons
nil
cons
cons
4827
def
49
ref
subst
4827
remove
121
ref
subst
257
ref
163
ref
387
ref
nil
163
ref
4819
remove
nil
cons
cons
nil
cons
nil
cons
cons
2154
ref
subst
1955
ref
refl
4828
def
862
ref
2776
ref
4779
remove
appThm
nil
4781
remove
nil
cons
nil
cons
cons
2753
ref
subst
trans
appThm
nil
1135
ref
2582
ref
4735
ref
appTerm
nil
cons
cons
889
ref
cons
nil
cons
cons
1603
ref
subst
trans
appThm
1806
ref
appThm
521
ref
4811
remove
nil
4825
remove
31
ref
4810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
4829
def
182
ref
183
ref
4809
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
4830
def
eqMp
eqMp
subst
trans
trans
appThm
3309
ref
2154
ref
appThm
4817
ref
appThm
appThm
nil
184
ref
2456
ref
1972
remove
appTerm
4733
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
4824
remove
cons
78
ref
4826
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4818
remove
appTerm
4823
remove
appTerm
nil
cons
cons
31
ref
178
ref
4813
ref
appTerm
nil
cons
4831
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4813
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4815
ref
appThm
4813
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4815
remove
absThm
appThm
appThm
nil
597
ref
4813
remove
nil
cons
4832
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
4831
remove
cons
31
ref
4814
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4832
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4829
remove
proveHyp
4830
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4833
def
nil
30
ref
178
ref
4806
remove
appTerm
4834
def
nil
cons
4835
def
cons
31
ref
4807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4808
remove
480
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
4800
ref
appTerm
nil
cons
cons
31
ref
4801
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4800
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4799
remove
nil
cons
cons
31
ref
4796
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
387
ref
4828
ref
2776
ref
4790
ref
appThm
appThm
1806
ref
appThm
appThm
2056
ref
2563
ref
subst
appThm
appThm
4792
remove
refl
appThm
4797
remove
2562
ref
subst
trans
sym
68
ref
eqMp
eqMp
4836
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
4795
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
242
ref
1955
ref
2492
ref
appTerm
525
ref
appTerm
4837
def
appTerm
170
ref
appTerm
4838
def
absTerm
4839
def
appTerm
4840
def
absTerm
4841
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4840
remove
nil
cons
4842
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
163
ref
3502
ref
nil
cons
cons
nil
cons
nil
cons
cons
2012
ref
subst
2554
ref
trans
nil
30
ref
242
ref
1955
ref
3502
ref
appTerm
164
ref
appTerm
appTerm
170
ref
appTerm
4843
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
4838
ref
appTerm
242
ref
1955
ref
2609
ref
appTerm
553
ref
appTerm
appTerm
170
ref
appTerm
4844
def
appTerm
4845
def
absTerm
4846
def
appTerm
4847
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4846
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4845
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4838
ref
nil
cons
4848
def
cons
31
ref
4844
remove
nil
cons
4849
def
cons
nil
cons
cons
nil
cons
cons
4850
def
49
ref
subst
4850
remove
121
ref
subst
nil
163
ref
2609
ref
nil
cons
cons
nil
cons
nil
cons
cons
2154
ref
subst
4828
ref
862
ref
2636
ref
appThm
4782
remove
trans
appThm
1806
ref
appThm
4838
remove
assume
trans
trans
eqMp
nil
76
ref
4848
remove
cons
78
ref
4849
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4843
remove
appTerm
4847
remove
appTerm
nil
cons
cons
31
ref
4842
ref
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4839
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4839
ref
525
ref
appTerm
4851
def
betaConv
4852
def
appThm
4839
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4852
ref
absThm
appThm
appThm
nil
597
ref
4839
remove
nil
cons
4853
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
4854
def
eqMp
absThm
eqMp
nil
178
ref
4841
remove
appTerm
thm
1082
ref
284
ref
387
ref
nil
163
ref
1179
remove
cons
nil
cons
nil
cons
cons
163
ref
2701
remove
2645
ref
appTerm
4855
def
absTerm
4856
def
170
ref
appTerm
4857
def
betaConv
257
ref
163
ref
4855
remove
assume
sym
242
ref
2645
remove
appTerm
2698
remove
appTerm
4858
def
assume
sym
deductAntisym
absThm
appThm
nil
183
ref
163
ref
4858
ref
absTerm
4859
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4858
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2731
remove
eqMp
absThm
eqMp
4860
def
eqMp
nil
30
ref
178
ref
4856
ref
appTerm
nil
cons
cons
31
ref
4857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4856
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
286
ref
refl
4861
def
1290
remove
appThm
trans
appThm
3575
remove
appThm
3576
remove
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
284
ref
242
ref
1354
remove
288
ref
appTerm
393
remove
appTerm
appTerm
288
remove
appTerm
absTerm
appTerm
thm
4860
remove
nil
178
ref
4859
remove
appTerm
thm
257
ref
163
ref
387
ref
4649
remove
4651
remove
nil
4656
remove
nil
cons
nil
cons
cons
2299
ref
subst
trans
trans
4862
def
appThm
4650
ref
appThm
nil
184
ref
4655
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
4863
def
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
4665
ref
appTerm
1400
ref
appTerm
absTerm
appTerm
thm
257
ref
163
ref
387
ref
251
ref
4653
ref
4654
remove
2549
ref
421
ref
appThm
401
ref
appThm
4864
def
appThm
nil
163
ref
1156
ref
424
remove
appTerm
170
ref
appTerm
4865
def
nil
cons
cons
4866
def
444
remove
cons
nil
cons
cons
4664
ref
subst
251
ref
nil
4866
ref
nil
cons
nil
cons
cons
2299
ref
subst
appThm
trans
4867
def
trans
trans
appThm
appThm
nil
1135
ref
258
remove
cons
2618
ref
cons
nil
cons
cons
1170
ref
subst
2620
ref
1172
remove
163
ref
242
ref
1173
ref
254
ref
appTerm
appTerm
633
ref
1301
ref
appTerm
appTerm
absTerm
4868
def
170
ref
appTerm
4869
def
betaConv
442
ref
178
ref
4868
ref
appTerm
4870
def
absTerm
4871
def
445
ref
appTerm
4872
def
betaConv
nil
178
ref
4871
ref
appTerm
4873
def
axiom
nil
30
ref
4873
remove
nil
cons
cons
31
ref
4872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4871
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4870
remove
nil
cons
cons
31
ref
4869
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4868
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
673
ref
421
remove
appThm
4864
remove
appThm
nil
4866
remove
3547
ref
cons
nil
cons
cons
4664
ref
subst
251
ref
4867
remove
appThm
trans
trans
trans
appThm
nil
163
ref
245
ref
245
ref
4865
remove
appTerm
appTerm
nil
cons
4874
def
cons
nil
cons
nil
cons
cons
2299
ref
subst
trans
trans
appThm
nil
184
ref
4874
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
4875
def
nil
178
ref
163
ref
242
ref
245
ref
4667
ref
appTerm
appTerm
1150
ref
254
ref
appTerm
appTerm
absTerm
4876
def
appTerm
4877
def
thm
1781
remove
nil
1778
remove
thm
nil
104
ref
4
ref
407
ref
332
ref
appTerm
4878
def
1993
ref
943
ref
appTerm
4879
def
appTerm
4880
def
absTerm
4881
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
4880
remove
nil
cons
4882
def
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
38
ref
4878
remove
170
ref
appTerm
appTerm
3366
ref
4879
ref
appTerm
appTerm
absTerm
4883
def
1993
ref
939
remove
appTerm
4884
def
appTerm
betaConv
sym
596
ref
1787
ref
4645
remove
subst
appThm
nil
2266
ref
442
ref
2232
remove
cons
nil
cons
4885
def
cons
nil
cons
cons
163
ref
13
ref
3365
ref
1993
ref
445
ref
appTerm
appTerm
1993
ref
170
ref
appTerm
appTerm
appTerm
3405
ref
appTerm
absTerm
4886
def
170
ref
appTerm
4887
def
betaConv
442
ref
178
ref
4886
ref
appTerm
4888
def
absTerm
4889
def
445
ref
appTerm
4890
def
betaConv
257
ref
442
ref
257
ref
163
ref
80
ref
nil
733
remove
nil
cons
cons
163
ref
13
ref
3365
ref
1992
ref
1909
ref
appTerm
4891
def
445
ref
appTerm
appTerm
4891
remove
170
ref
appTerm
appTerm
appTerm
994
ref
242
ref
1909
ref
appTerm
4892
def
164
ref
appTerm
appTerm
32
ref
1403
ref
appTerm
412
ref
appTerm
4893
def
appTerm
19
ref
4892
remove
283
ref
appTerm
appTerm
3405
ref
appTerm
appTerm
appTerm
absTerm
4894
def
170
ref
appTerm
4895
def
betaConv
442
ref
178
ref
4894
ref
appTerm
4896
def
absTerm
4897
def
445
ref
appTerm
4898
def
betaConv
184
ref
178
ref
4897
ref
appTerm
4899
def
absTerm
4900
def
1909
ref
appTerm
4901
def
betaConv
nil
178
ref
4900
ref
appTerm
4902
def
axiom
nil
30
ref
4902
remove
nil
cons
cons
31
ref
4901
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4900
remove
nil
cons
cons
184
ref
1940
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4899
remove
nil
cons
cons
31
ref
4898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4897
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4896
remove
nil
cons
cons
31
ref
4895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4894
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
1030
ref
437
remove
appThm
4893
ref
refl
appThm
19
ref
760
remove
283
ref
appTerm
appTerm
3405
ref
appTerm
4903
def
refl
appThm
nil
1033
ref
4903
remove
nil
cons
cons
1034
ref
4893
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1080
ref
subst
trans
trans
appThm
3405
ref
refl
4904
def
appThm
absThm
appThm
absThm
appThm
sym
257
ref
442
ref
257
ref
163
ref
80
ref
134
ref
422
remove
253
ref
appThm
nil
166
remove
3547
ref
cons
nil
cons
cons
1738
ref
subst
3512
ref
trans
trans
appThm
4904
ref
appThm
nil
63
ref
3405
ref
nil
cons
4905
def
cons
nil
cons
nil
cons
cons
4906
def
1029
ref
subst
trans
appThm
4904
remove
appThm
nil
153
ref
4905
ref
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
30
ref
178
ref
4889
ref
appTerm
nil
cons
cons
31
ref
4890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4889
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4888
remove
nil
cons
cons
31
ref
4887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4886
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
nil
63
ref
3761
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3766
remove
3768
remove
nil
30
ref
3764
remove
cons
31
ref
3765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
3767
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4907
def
eqMp
4908
def
trans
appThm
750
ref
trans
sym
68
ref
eqMp
eqMp
182
ref
183
ref
4883
ref
nil
cons
cons
184
ref
4884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
4883
remove
appTerm
nil
cons
cons
31
ref
4882
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
4879
remove
nil
cons
cons
442
ref
1785
ref
cons
nil
cons
cons
nil
cons
cons
4156
remove
subst
eqMp
eqMp
absThm
eqMp
nil
28
ref
4881
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
4580
remove
absTerm
4909
def
appTerm
4910
def
absTerm
4911
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
4910
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
4909
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
4613
remove
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
4911
remove
appTerm
thm
nil
183
ref
163
ref
2140
remove
absTerm
4912
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2141
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
2143
remove
eqMp
absThm
eqMp
nil
178
ref
4912
remove
appTerm
thm
3010
remove
nil
3011
remove
thm
2757
remove
nil
2758
remove
thm
nil
183
ref
163
ref
13
ref
3082
remove
appTerm
412
ref
appTerm
4913
def
absTerm
4914
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4913
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3188
remove
eqMp
absThm
eqMp
nil
178
ref
4914
remove
appTerm
thm
3182
remove
nil
3128
remove
thm
257
ref
163
ref
387
ref
4520
ref
2501
ref
subst
2549
ref
4524
remove
appThm
401
ref
appThm
trans
4915
def
appThm
4650
ref
appThm
4863
remove
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
2491
ref
283
ref
appTerm
appTerm
1400
ref
appTerm
absTerm
appTerm
thm
257
ref
522
ref
387
ref
428
ref
2501
ref
subst
3499
ref
4044
remove
subst
trans
appThm
1994
ref
refl
appThm
nil
184
ref
2057
ref
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
522
ref
242
ref
2469
ref
283
ref
appTerm
525
ref
appTerm
4916
def
appTerm
1994
ref
appTerm
absTerm
appTerm
thm
nil
183
ref
522
ref
242
ref
463
ref
4916
remove
appTerm
4917
def
appTerm
4918
def
3626
ref
283
ref
appTerm
4919
def
appTerm
4920
def
absTerm
4921
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4920
remove
nil
cons
4922
def
cons
nil
cons
nil
cons
cons
69
ref
subst
479
ref
38
ref
4918
ref
1345
ref
appTerm
appTerm
1346
ref
4919
ref
appTerm
appTerm
absTerm
4923
def
467
ref
2877
remove
appTerm
525
ref
appTerm
4924
def
appTerm
betaConv
sym
161
ref
3513
remove
appThm
236
ref
trans
sym
68
ref
eqMp
nil
2867
remove
31
ref
4918
remove
4924
ref
appTerm
nil
cons
4925
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
428
remove
522
ref
767
ref
242
ref
463
ref
2492
ref
appTerm
4926
def
appTerm
3682
ref
525
ref
appTerm
4927
def
appTerm
4928
def
appTerm
4929
def
absTerm
4930
def
525
ref
appTerm
4931
def
betaConv
4932
def
163
ref
178
ref
4930
ref
appTerm
4933
def
absTerm
4934
def
170
ref
appTerm
4935
def
betaConv
80
ref
257
ref
163
ref
257
ref
522
ref
163
ref
4930
ref
absTerm
4936
def
170
ref
appTerm
betaConv
1806
ref
appThm
4932
remove
trans
4937
def
absThm
appThm
absThm
appThm
appThm
257
ref
522
ref
257
ref
163
ref
4937
remove
absThm
appThm
absThm
appThm
appThm
nil
1808
ref
4936
remove
nil
cons
cons
nil
cons
nil
cons
cons
1817
ref
subst
eqMp
sym
257
ref
163
ref
2521
ref
387
ref
865
ref
2554
ref
appThm
appThm
nil
3687
ref
nil
cons
cons
1183
ref
subst
appThm
3583
ref
trans
appThm
2079
ref
3092
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
767
ref
242
ref
463
ref
3502
remove
appTerm
appTerm
3682
ref
164
ref
appTerm
appTerm
appTerm
absTerm
appTerm
4938
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
178
ref
163
ref
4929
ref
absTerm
4939
def
appTerm
4940
def
appTerm
178
ref
163
ref
767
ref
242
ref
463
ref
2609
remove
appTerm
appTerm
3682
ref
553
ref
appTerm
4941
def
appTerm
4942
def
appTerm
4943
def
absTerm
4944
def
appTerm
4945
def
appTerm
4946
def
absTerm
4947
def
appTerm
4948
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
4947
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
4946
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
4940
ref
nil
cons
4949
def
cons
4950
def
31
ref
4945
remove
nil
cons
4951
def
cons
nil
cons
cons
nil
cons
cons
4952
def
49
ref
subst
4952
remove
121
ref
subst
nil
183
ref
4944
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4943
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
661
ref
31
ref
4942
remove
nil
cons
4953
def
cons
nil
cons
cons
nil
cons
cons
4954
def
49
ref
subst
4954
remove
121
ref
subst
387
ref
865
ref
2636
ref
appThm
appThm
4941
ref
refl
appThm
sym
479
ref
38
ref
242
ref
463
ref
2611
remove
appTerm
4955
def
appTerm
4956
def
1345
ref
appTerm
appTerm
1346
ref
4941
ref
appTerm
appTerm
absTerm
4957
def
245
ref
4926
ref
appTerm
4958
def
appTerm
betaConv
sym
161
ref
387
ref
2501
ref
appThm
402
ref
appThm
3499
remove
2069
ref
subst
134
ref
2080
remove
appThm
4959
def
871
ref
appThm
3189
ref
1029
ref
subst
trans
trans
trans
4960
def
670
ref
trans
appThm
236
ref
trans
sym
68
ref
eqMp
nil
30
ref
160
ref
2493
ref
164
ref
appTerm
4961
def
appTerm
nil
cons
cons
31
ref
4956
ref
4958
ref
appTerm
nil
cons
4962
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2619
remove
4595
ref
subst
eqMp
nil
30
ref
4962
remove
cons
31
ref
242
ref
4958
ref
appTerm
4963
def
4941
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
4963
remove
refl
nil
578
ref
3687
remove
cons
nil
cons
cons
4964
def
4778
ref
subst
appThm
nil
163
ref
4927
ref
nil
cons
cons
4965
def
442
ref
4926
ref
nil
cons
cons
nil
cons
4966
def
cons
nil
cons
cons
1738
remove
subst
trans
sym
nil
661
ref
31
ref
4928
ref
nil
cons
4967
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
4968
def
4939
ref
170
ref
appTerm
4969
def
betaConv
nil
4950
remove
31
ref
4969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
4939
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
4957
ref
nil
cons
cons
184
ref
4958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
4957
remove
appTerm
nil
cons
cons
31
ref
4956
remove
4941
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
ref
4941
remove
nil
cons
cons
184
ref
4955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1602
ref
subst
eqMp
eqMp
eqMp
nil
815
ref
78
ref
4953
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
4949
remove
cons
78
ref
4951
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
4938
remove
appTerm
4948
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
4940
remove
absTerm
4970
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
4970
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
4970
ref
525
ref
appTerm
betaConv
4971
def
appThm
4970
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
4971
remove
absThm
appThm
appThm
nil
597
ref
4970
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
4972
def
nil
30
ref
178
ref
4934
ref
appTerm
4973
def
nil
cons
cons
4974
def
31
ref
4935
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4934
ref
nil
cons
cons
4975
def
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4933
remove
nil
cons
cons
31
ref
4931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4930
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
4976
def
subst
eqMp
nil
30
ref
4925
remove
cons
31
ref
242
ref
4924
ref
appTerm
4919
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
387
ref
673
ref
2876
remove
appThm
1806
ref
appThm
appThm
4919
ref
refl
appThm
sym
nil
578
ref
1501
ref
cons
nil
cons
cons
2490
ref
subst
eqMp
eqMp
eqMp
182
ref
183
ref
4923
ref
nil
cons
cons
184
ref
4924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
4923
remove
appTerm
nil
cons
cons
31
ref
4922
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
ref
4919
remove
nil
cons
cons
184
ref
4917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1602
ref
subst
eqMp
eqMp
absThm
eqMp
nil
178
ref
4921
remove
appTerm
thm
nil
152
ref
"b1"
1
ref
var
4977
def
150
ref
"b2"
1
ref
var
4978
def
13
ref
242
ref
286
ref
4977
ref
varTerm
4979
def
appTerm
4980
def
appTerm
286
ref
4978
ref
varTerm
4981
def
appTerm
4982
def
appTerm
appTerm
13
ref
4979
ref
appTerm
4983
def
4981
ref
appTerm
4984
def
appTerm
4985
def
absTerm
4986
def
appTerm
4987
def
absTerm
4988
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4977
ref
nil
63
ref
4987
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
4986
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4978
ref
nil
63
ref
4985
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
387
ref
nil
284
ref
4979
ref
nil
cons
4989
def
cons
nil
cons
nil
cons
cons
300
ref
subst
294
ref
4979
ref
appTerm
4990
def
refl
253
ref
appThm
402
ref
appThm
trans
4991
def
appThm
nil
284
ref
4981
ref
nil
cons
4992
def
cons
nil
cons
nil
cons
cons
300
remove
subst
294
ref
4981
ref
appTerm
4993
def
refl
253
remove
appThm
402
ref
appThm
trans
4994
def
appThm
appThm
4984
ref
refl
appThm
sym
nil
30
ref
4983
ref
191
ref
appTerm
4995
def
nil
cons
4996
def
cons
4997
def
31
ref
13
ref
242
ref
4990
remove
423
ref
appTerm
164
ref
appTerm
4998
def
appTerm
4993
remove
423
ref
appTerm
164
ref
appTerm
4999
def
appTerm
appTerm
4984
remove
appTerm
nil
cons
5000
def
cons
nil
cons
5001
def
cons
nil
cons
cons
5002
def
49
ref
subst
5002
remove
121
ref
subst
13
ref
"_29196"
1
ref
var
5003
def
13
ref
242
ref
294
ref
5003
remove
varTerm
5004
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
4999
ref
appTerm
appTerm
13
ref
5004
remove
appTerm
4981
ref
appTerm
appTerm
absTerm
5005
def
4979
ref
appTerm
5006
def
appTerm
refl
5007
def
5005
ref
191
ref
appTerm
betaConv
appThm
80
ref
5006
remove
betaConv
appThm
5008
def
13
ref
242
ref
3741
remove
423
ref
appTerm
164
ref
appTerm
5009
def
appTerm
5010
def
4999
ref
appTerm
appTerm
230
ref
4981
ref
appTerm
appTerm
5011
def
refl
appThm
trans
5005
remove
refl
5012
def
4995
remove
assume
5013
def
appThm
eqMp
sym
nil
30
ref
13
ref
4981
ref
appTerm
5014
def
191
ref
appTerm
5015
def
nil
cons
5016
def
cons
5017
def
31
ref
5011
remove
nil
cons
5018
def
cons
nil
cons
5019
def
cons
nil
cons
cons
5020
def
49
ref
subst
5020
remove
121
ref
subst
13
ref
"_29204"
1
ref
var
5021
def
13
ref
5010
ref
294
ref
5021
remove
varTerm
5022
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
230
ref
5022
remove
appTerm
appTerm
absTerm
5023
def
4981
ref
appTerm
5024
def
appTerm
refl
5025
def
5023
ref
191
ref
appTerm
betaConv
appThm
80
ref
5024
remove
betaConv
appThm
5026
def
13
ref
5010
ref
5009
ref
appTerm
appTerm
230
ref
191
ref
appTerm
appTerm
refl
appThm
trans
5023
remove
refl
5027
def
5015
remove
assume
5028
def
appThm
eqMp
sym
80
ref
nil
184
ref
5009
ref
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
appThm
653
ref
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
5016
ref
cons
5029
def
78
ref
5018
ref
cons
nil
cons
5030
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5014
remove
55
ref
appTerm
5031
def
nil
cons
5032
def
cons
5033
def
5019
remove
cons
nil
cons
cons
5034
def
49
ref
subst
5034
remove
121
ref
subst
5025
remove
"_29202"
1
ref
var
5035
def
13
ref
5010
ref
294
ref
5035
remove
varTerm
5036
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
230
ref
5036
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5026
remove
13
ref
5010
remove
3757
remove
423
ref
appTerm
164
ref
appTerm
5037
def
appTerm
appTerm
230
remove
55
ref
appTerm
appTerm
refl
appThm
trans
5027
remove
5031
remove
assume
5038
def
appThm
eqMp
sym
80
ref
387
ref
nil
302
ref
303
ref
3526
ref
cons
nil
cons
cons
nil
cons
cons
5039
def
324
ref
subst
5040
def
appThm
5039
remove
823
ref
subst
5041
def
appThm
4512
remove
trans
appThm
272
ref
652
remove
subst
1311
ref
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
5032
remove
cons
5042
def
5030
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
4981
ref
appTerm
5043
def
betaConv
927
ref
nil
928
ref
31
ref
5043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
153
ref
4992
ref
cons
nil
cons
5044
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5045
def
nil
5042
ref
78
ref
5016
remove
cons
5046
def
839
ref
5018
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
4996
ref
cons
5047
def
78
ref
5000
ref
cons
nil
cons
5048
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
4983
remove
55
ref
appTerm
5049
def
nil
cons
5050
def
cons
5051
def
5001
remove
cons
nil
cons
cons
5052
def
49
ref
subst
5052
remove
121
ref
subst
5007
remove
"_29194"
1
ref
var
5053
def
13
ref
242
ref
294
ref
5053
remove
varTerm
5054
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
4999
ref
appTerm
appTerm
13
ref
5054
remove
appTerm
4981
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5008
remove
13
ref
242
ref
5037
ref
appTerm
5055
def
4999
ref
appTerm
appTerm
952
ref
4981
ref
appTerm
appTerm
5056
def
refl
appThm
trans
5012
remove
5049
remove
assume
5057
def
appThm
eqMp
sym
nil
5017
ref
31
ref
5056
remove
nil
cons
5058
def
cons
nil
cons
5059
def
cons
nil
cons
cons
5060
def
49
ref
subst
5060
remove
121
ref
subst
13
ref
"_29200"
1
ref
var
5061
def
13
ref
5055
ref
294
ref
5061
remove
varTerm
5062
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
952
ref
5062
remove
appTerm
appTerm
absTerm
5063
def
4981
ref
appTerm
5064
def
appTerm
refl
5065
def
5063
ref
191
ref
appTerm
betaConv
appThm
80
ref
5064
remove
betaConv
appThm
5066
def
13
ref
5055
ref
5009
ref
appTerm
appTerm
952
ref
191
ref
appTerm
appTerm
refl
appThm
trans
5063
remove
refl
5067
def
5028
ref
appThm
eqMp
sym
80
ref
387
ref
5041
ref
appThm
5040
ref
appThm
3512
ref
trans
appThm
647
ref
956
remove
subst
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5029
ref
78
ref
5058
ref
cons
nil
cons
5068
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5033
ref
5059
remove
cons
nil
cons
cons
5069
def
49
ref
subst
5069
remove
121
ref
subst
5065
remove
"_29198"
1
ref
var
5070
def
13
ref
5055
ref
294
ref
5070
remove
varTerm
5071
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
952
ref
5071
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5066
remove
13
ref
5055
remove
5037
ref
appTerm
appTerm
952
remove
55
ref
appTerm
appTerm
refl
appThm
trans
5067
remove
5038
ref
appThm
eqMp
sym
80
ref
nil
184
ref
5037
ref
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
appThm
957
ref
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5042
ref
5068
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5045
ref
nil
5042
ref
5046
ref
839
ref
5058
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
76
ref
5050
remove
cons
5072
def
5048
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
ref
4979
ref
appTerm
5073
def
betaConv
927
ref
nil
928
ref
31
ref
5073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
ref
153
ref
4989
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5074
def
nil
5072
ref
78
ref
4996
remove
cons
5075
def
839
ref
5000
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
4988
remove
appTerm
thm
1131
ref
nil
1132
remove
thm
nil
183
ref
163
ref
178
ref
522
ref
2493
remove
1983
remove
1150
ref
appTerm
5076
def
525
ref
appTerm
5077
def
170
ref
appTerm
5078
def
appTerm
5079
def
absTerm
5080
def
appTerm
5081
def
absTerm
5082
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5081
remove
nil
cons
5083
def
cons
nil
cons
nil
cons
cons
69
ref
subst
3501
remove
nil
2014
ref
1150
ref
nil
cons
5084
def
cons
nil
cons
5085
def
nil
cons
cons
2030
remove
subst
401
ref
appThm
2035
remove
trans
appThm
2036
ref
trans
sym
68
ref
eqMp
nil
30
ref
3503
remove
5076
ref
164
ref
appTerm
170
ref
appTerm
appTerm
5086
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
5079
ref
appTerm
2610
ref
5076
ref
553
ref
appTerm
170
ref
appTerm
appTerm
5087
def
appTerm
5088
def
absTerm
5089
def
appTerm
5090
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
5089
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5088
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5079
ref
nil
cons
5091
def
cons
31
ref
5087
remove
nil
cons
5092
def
cons
nil
cons
cons
nil
cons
cons
5093
def
49
ref
subst
5093
remove
121
ref
subst
387
ref
2636
ref
2637
ref
5079
remove
assume
appThm
trans
appThm
nil
578
ref
5085
ref
cons
nil
cons
cons
5094
def
2137
remove
subst
401
ref
appThm
nil
186
ref
1911
ref
5077
ref
nil
cons
5095
def
cons
5085
ref
cons
cons
nil
cons
cons
2139
ref
subst
trans
appThm
nil
184
ref
1150
ref
5078
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
5091
remove
cons
78
ref
5092
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
5086
remove
appTerm
5090
remove
appTerm
nil
cons
cons
31
ref
5083
ref
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
5080
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
5080
ref
525
ref
appTerm
5096
def
betaConv
5097
def
appThm
5080
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
5097
ref
absThm
appThm
appThm
nil
597
ref
5080
remove
nil
cons
5098
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
5099
def
eqMp
absThm
eqMp
nil
178
ref
5082
remove
appTerm
thm
nil
183
ref
1215
ref
178
ref
1213
ref
32
ref
3365
ref
1217
ref
appTerm
5100
def
1219
ref
appTerm
5101
def
appTerm
3365
ref
463
ref
1217
ref
appTerm
appTerm
463
ref
1219
ref
appTerm
5102
def
appTerm
5103
def
appTerm
5104
def
absTerm
5105
def
appTerm
5106
def
absTerm
5107
def
nil
cons
cons
5108
def
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
5106
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5105
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1213
ref
nil
63
ref
5104
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5101
ref
nil
cons
5109
def
cons
31
ref
5103
remove
nil
cons
5110
def
cons
nil
cons
5111
def
cons
nil
cons
cons
5112
def
49
ref
subst
5112
remove
121
ref
subst
nil
30
ref
160
ref
242
ref
1217
ref
appTerm
5113
def
164
ref
appTerm
5114
def
appTerm
5115
def
nil
cons
5116
def
cons
5117
def
5111
ref
cons
nil
cons
cons
5118
def
49
ref
subst
5118
remove
121
ref
subst
nil
30
ref
160
ref
242
ref
1219
ref
appTerm
164
ref
appTerm
5119
def
appTerm
5120
def
nil
cons
5121
def
cons
5122
def
5111
ref
cons
nil
cons
cons
5123
def
49
ref
subst
5123
remove
121
ref
subst
3711
ref
1244
ref
476
ref
subst
630
ref
nil
5117
ref
31
ref
13
ref
5114
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
5114
ref
nil
cons
5124
def
cons
5125
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
5126
def
appThm
402
ref
appThm
467
ref
469
ref
1217
ref
appTerm
5127
def
appTerm
283
ref
appTerm
5128
def
refl
appThm
nil
301
ref
5128
remove
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
trans
appThm
1246
ref
476
ref
subst
630
ref
nil
5122
remove
31
ref
13
ref
5119
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
5119
ref
nil
cons
5129
def
cons
5130
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
402
ref
appThm
467
ref
469
ref
1219
ref
appTerm
5131
def
appTerm
283
ref
appTerm
5132
def
refl
appThm
nil
301
ref
5132
remove
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
trans
appThm
nil
687
ref
5131
ref
nil
cons
cons
1500
ref
163
ref
5127
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4058
ref
subst
trans
sym
743
ref
596
ref
161
ref
5126
remove
appThm
236
ref
trans
appThm
nil
63
ref
5109
ref
cons
nil
cons
nil
cons
cons
5133
def
69
ref
subst
5101
ref
assume
5134
def
eqMp
appThm
750
ref
trans
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
714
ref
38
ref
5115
remove
appTerm
5135
def
5101
ref
appTerm
5136
def
appTerm
nil
cons
cons
31
ref
3365
ref
5127
remove
appTerm
5131
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
2872
remove
1213
ref
32
ref
725
ref
5136
remove
appTerm
appTerm
3365
ref
727
ref
1217
ref
appTerm
5137
def
appTerm
727
ref
1219
ref
appTerm
5138
def
appTerm
appTerm
absTerm
5139
def
1219
ref
appTerm
5140
def
betaConv
522
ref
178
ref
5139
ref
appTerm
5141
def
absTerm
5142
def
525
ref
appTerm
5143
def
betaConv
1215
ref
178
ref
5142
ref
appTerm
5144
def
absTerm
5145
def
1217
ref
appTerm
5146
def
betaConv
nil
178
ref
522
ref
178
ref
1215
ref
5141
ref
absTerm
5147
def
appTerm
5148
def
absTerm
5149
def
appTerm
5150
def
axiom
nil
30
ref
5150
remove
nil
cons
5151
def
cons
5152
def
31
ref
178
ref
5145
ref
appTerm
nil
cons
5153
def
cons
nil
cons
cons
nil
cons
cons
5154
def
101
ref
subst
proveHyp
5154
ref
49
ref
subst
5154
remove
121
ref
subst
nil
183
ref
5145
remove
nil
cons
cons
5155
def
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
5144
remove
nil
cons
5156
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5142
remove
nil
cons
cons
5157
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5141
remove
nil
cons
5158
def
cons
nil
cons
nil
cons
cons
69
ref
subst
5147
ref
1217
ref
appTerm
5159
def
betaConv
5149
ref
525
ref
appTerm
5160
def
betaConv
nil
5152
remove
31
ref
5160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
5149
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5148
remove
nil
cons
cons
31
ref
5159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5147
remove
nil
cons
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
5151
remove
cons
78
ref
5153
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
5153
remove
cons
31
ref
5146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5155
remove
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5156
remove
cons
31
ref
5143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5157
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5158
remove
cons
31
ref
5140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5139
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
76
ref
5121
ref
cons
78
ref
5110
ref
cons
nil
cons
5161
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5129
ref
cons
5111
ref
cons
nil
cons
cons
5162
def
49
ref
subst
5162
remove
121
ref
subst
nil
5117
remove
199
remove
cons
nil
cons
cons
101
ref
subst
nil
63
ref
5116
ref
cons
nil
cons
nil
cons
cons
2971
remove
subst
nil
63
ref
5124
ref
cons
nil
cons
nil
cons
cons
1328
ref
subst
nil
1233
ref
nil
cons
cons
442
ref
13
ref
1403
ref
appTerm
5163
def
3404
ref
164
ref
appTerm
5164
def
appTerm
5165
def
absTerm
5166
def
445
ref
appTerm
5167
def
betaConv
257
ref
442
ref
5165
remove
assume
sym
13
ref
5164
remove
appTerm
1403
ref
appTerm
5168
def
assume
sym
deductAntisym
absThm
appThm
nil
178
ref
442
ref
5168
remove
absTerm
5169
def
appTerm
5170
def
axiom
5171
def
eqMp
nil
30
ref
178
ref
5166
ref
appTerm
nil
cons
cons
31
ref
5167
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5166
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5172
def
subst
nil
63
ref
5100
ref
164
ref
appTerm
5173
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
13
ref
"_28997"
162
ref
var
5174
def
5100
remove
5174
remove
varTerm
appTerm
absTerm
5175
def
1219
ref
appTerm
5176
def
appTerm
refl
5175
ref
164
ref
appTerm
betaConv
appThm
80
ref
5176
remove
betaConv
appThm
5173
remove
refl
appThm
trans
5175
remove
refl
5119
ref
assume
appThm
eqMp
5134
remove
eqMp
eqMp
trans
trans
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
5110
ref
cons
nil
cons
nil
cons
cons
232
remove
subst
proveHyp
eqMp
nil
5130
ref
5161
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
5119
remove
appTerm
5177
def
betaConv
833
ref
nil
834
ref
31
ref
5177
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
5129
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
5130
remove
78
ref
5121
remove
cons
839
ref
5110
remove
cons
nil
cons
5178
def
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
5116
ref
cons
5161
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5124
ref
cons
5111
remove
cons
nil
cons
cons
5179
def
49
ref
subst
5179
remove
121
ref
subst
3711
ref
865
ref
5114
ref
assume
appThm
492
ref
trans
appThm
5102
ref
refl
appThm
nil
163
ref
5102
ref
nil
cons
cons
nil
cons
nil
cons
cons
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
5125
ref
5161
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
5114
remove
appTerm
5180
def
betaConv
833
ref
nil
834
ref
31
ref
5180
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
5124
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
5125
remove
78
ref
5116
remove
cons
5178
remove
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
5109
ref
cons
5161
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5181
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5182
def
nil
178
ref
5107
ref
appTerm
5183
def
thm
2155
ref
nil
2156
remove
thm
nil
183
ref
163
ref
178
ref
522
ref
1970
remove
388
ref
1980
ref
appTerm
appTerm
5184
def
absTerm
5185
def
appTerm
5186
def
absTerm
5187
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5186
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5185
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5184
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2126
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5187
remove
appTerm
thm
2152
remove
nil
2153
remove
thm
nil
183
ref
163
ref
178
ref
522
ref
3365
ref
4926
ref
appTerm
5188
def
4927
ref
appTerm
5189
def
absTerm
5190
def
appTerm
5191
def
absTerm
5192
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5191
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5190
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5189
ref
nil
cons
5193
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
661
ref
31
ref
5193
ref
cons
nil
cons
5194
def
cons
nil
cons
cons
5195
def
49
ref
subst
5195
remove
121
ref
subst
4976
remove
nil
30
ref
4929
remove
nil
cons
cons
5194
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
4968
remove
appThm
5189
remove
refl
appThm
sym
nil
30
ref
4967
ref
cons
5194
ref
cons
nil
cons
cons
5196
def
49
ref
subst
5196
remove
121
ref
subst
13
ref
"_29084"
162
ref
var
5197
def
3365
ref
5197
remove
varTerm
appTerm
4927
ref
appTerm
absTerm
5198
def
4926
remove
appTerm
5199
def
appTerm
refl
5198
ref
4927
ref
appTerm
betaConv
appThm
80
ref
5199
remove
betaConv
appThm
3365
ref
4927
ref
appTerm
4927
remove
appTerm
refl
appThm
trans
5198
remove
refl
4928
remove
assume
appThm
eqMp
sym
nil
4965
remove
nil
cons
nil
cons
cons
3552
remove
subst
eqMp
eqMp
nil
76
ref
4967
remove
cons
78
ref
5193
ref
cons
nil
cons
5200
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
815
ref
5200
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
817
ref
5194
remove
cons
nil
cons
cons
5201
def
49
ref
subst
5201
remove
121
ref
subst
3711
ref
865
ref
2638
ref
819
ref
appThm
1806
ref
appThm
3500
ref
trans
appThm
492
ref
trans
appThm
673
ref
866
remove
492
ref
trans
appThm
1806
ref
appThm
appThm
nil
163
ref
4728
remove
nil
cons
cons
nil
cons
nil
cons
cons
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
669
ref
5200
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
837
ref
nil
669
ref
838
ref
839
ref
5193
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5192
remove
appTerm
thm
257
ref
522
ref
257
ref
163
ref
80
ref
4960
ref
appThm
871
ref
appThm
nil
836
remove
nil
cons
cons
269
ref
subst
5202
def
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
522
ref
178
ref
163
ref
13
ref
4961
remove
appTerm
412
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
257
ref
163
ref
257
ref
522
ref
387
ref
nil
4732
ref
574
ref
cons
nil
cons
nil
cons
cons
242
ref
2456
ref
4736
ref
appTerm
5203
def
525
ref
appTerm
5204
def
appTerm
5205
def
refl
2776
ref
4771
ref
163
ref
242
ref
4720
remove
appTerm
294
ref
3405
ref
appTerm
5206
def
445
ref
appTerm
170
ref
appTerm
appTerm
absTerm
5207
def
170
ref
appTerm
5208
def
betaConv
442
ref
178
ref
5207
ref
appTerm
5209
def
absTerm
5210
def
445
ref
appTerm
5211
def
betaConv
nil
178
ref
5210
ref
appTerm
5212
def
axiom
nil
30
ref
5212
remove
nil
cons
cons
31
ref
5211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5210
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5209
remove
nil
cons
cons
31
ref
5208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5207
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
appThm
sym
80
ref
"_29106"
162
ref
var
5213
def
5205
ref
2457
ref
5213
remove
varTerm
appTerm
appTerm
absTerm
5214
def
294
ref
3365
ref
4733
ref
appTerm
525
ref
appTerm
5215
def
appTerm
4733
ref
appTerm
525
ref
appTerm
appTerm
betaConv
appThm
596
ref
32
ref
5215
ref
appTerm
5216
def
refl
5214
ref
4733
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
5215
ref
appTerm
5217
def
appTerm
5218
def
refl
5214
ref
525
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
574
ref
cons
1695
ref
4752
ref
cons
1697
ref
5215
ref
nil
cons
5219
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
1698
ref
5214
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
30
ref
5219
ref
cons
31
ref
5205
ref
4736
ref
appTerm
5220
def
nil
cons
5221
def
cons
nil
cons
5222
def
cons
nil
cons
cons
5223
def
49
ref
subst
5223
remove
121
ref
subst
4771
ref
163
ref
3938
ref
1531
ref
4002
ref
411
ref
633
ref
4005
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5224
def
170
ref
appTerm
5225
def
betaConv
442
ref
178
ref
5224
ref
appTerm
5226
def
absTerm
5227
def
445
ref
appTerm
5228
def
betaConv
nil
178
ref
5227
ref
appTerm
5229
def
axiom
nil
30
ref
5229
remove
nil
cons
cons
31
ref
5228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5227
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5226
remove
nil
cons
cons
31
ref
5225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5224
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5230
def
subst
5215
remove
assume
eqMp
nil
30
ref
1531
ref
4002
ref
528
ref
4734
remove
4005
ref
appTerm
5231
def
appTerm
5232
def
absTerm
5233
def
appTerm
5234
def
nil
cons
cons
5222
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
5233
ref
4005
ref
appTerm
5235
def
appTerm
5220
ref
appTerm
5236
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
5236
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5235
ref
nil
cons
5237
def
cons
5222
ref
cons
nil
cons
cons
5238
def
49
ref
subst
5238
remove
121
ref
subst
5235
ref
betaConv
5235
remove
assume
eqMp
nil
30
ref
5232
ref
nil
cons
5239
def
cons
5222
remove
cons
nil
cons
cons
5240
def
101
ref
subst
proveHyp
5240
ref
49
ref
subst
5240
remove
121
ref
subst
13
ref
"_29112"
162
ref
var
5241
def
242
ref
5203
ref
5241
remove
varTerm
appTerm
appTerm
4736
ref
appTerm
absTerm
5242
def
525
ref
appTerm
5243
def
appTerm
refl
5242
ref
5231
ref
appTerm
betaConv
appThm
80
ref
5243
remove
betaConv
appThm
242
ref
5203
remove
5231
ref
appTerm
5244
def
appTerm
4736
ref
appTerm
refl
appThm
trans
5242
remove
refl
5232
remove
assume
appThm
eqMp
sym
nil
2581
ref
4755
ref
cons
442
ref
5244
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2581
ref
2590
ref
242
ref
633
ref
2469
ref
1955
ref
4736
ref
appTerm
5245
def
5231
ref
appTerm
appTerm
5231
ref
appTerm
5246
def
appTerm
appTerm
2592
ref
5246
ref
appTerm
appTerm
5247
def
appTerm
5248
def
absTerm
5249
def
2588
ref
appTerm
5250
def
betaConv
442
ref
178
ref
5249
ref
appTerm
5251
def
absTerm
5252
def
445
ref
appTerm
5253
def
betaConv
257
ref
442
ref
257
ref
2581
ref
5248
remove
assume
sym
13
ref
5247
remove
appTerm
2589
ref
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
703
ref
5246
ref
appTerm
5254
def
betaConv
706
ref
nil
707
ref
31
ref
5254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
708
ref
184
ref
5246
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
30
ref
178
ref
5252
ref
appTerm
nil
cons
cons
31
ref
5253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5252
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5251
remove
nil
cons
cons
31
ref
5250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5249
remove
nil
cons
cons
2602
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
sym
13
ref
"_29114"
162
ref
var
5255
def
242
ref
5255
remove
varTerm
appTerm
467
ref
4736
ref
appTerm
5256
def
5246
ref
appTerm
5257
def
appTerm
absTerm
5258
def
467
ref
5244
remove
appTerm
5246
remove
appTerm
appTerm
5259
def
appTerm
refl
5258
ref
4736
ref
appTerm
betaConv
appThm
80
ref
5259
remove
betaConv
appThm
242
ref
4736
ref
appTerm
5260
def
5257
remove
appTerm
refl
appThm
trans
5258
remove
refl
522
ref
242
ref
467
ref
5204
remove
appTerm
2469
ref
5245
remove
525
ref
appTerm
appTerm
525
ref
appTerm
appTerm
appTerm
4736
ref
appTerm
absTerm
5261
def
5231
ref
appTerm
5262
def
betaConv
163
ref
2543
remove
absTerm
5263
def
4736
remove
appTerm
5264
def
betaConv
nil
183
ref
5263
ref
nil
cons
cons
5265
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
2544
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
2542
remove
eqMp
absThm
eqMp
5266
def
nil
30
ref
178
ref
5263
ref
appTerm
5267
def
nil
cons
cons
5268
def
31
ref
5264
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5265
ref
4758
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
5261
ref
appTerm
nil
cons
cons
31
ref
5262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5261
remove
nil
cons
cons
184
ref
5231
ref
nil
cons
5269
def
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
eqMp
sym
5260
remove
refl
5256
remove
refl
2638
ref
nil
3639
ref
4035
ref
cons
5270
def
3640
ref
4752
ref
cons
4756
remove
cons
cons
nil
cons
cons
3639
ref
3657
remove
absTerm
5271
def
3644
ref
appTerm
5272
def
betaConv
3640
ref
178
ref
5271
ref
appTerm
5273
def
absTerm
5274
def
3642
ref
appTerm
5275
def
betaConv
163
ref
178
ref
5274
ref
appTerm
5276
def
absTerm
5277
def
170
ref
appTerm
5278
def
betaConv
3678
ref
nil
30
ref
178
ref
5277
ref
appTerm
5279
def
nil
cons
cons
31
ref
5278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5277
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5276
remove
nil
cons
cons
31
ref
5275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5274
remove
nil
cons
cons
3679
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5273
remove
nil
cons
cons
31
ref
5272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5271
remove
nil
cons
cons
3680
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5280
def
subst
4828
ref
nil
522
ref
4752
ref
cons
5281
def
nil
cons
nil
cons
cons
5282
def
4836
ref
subst
appThm
4005
ref
refl
5283
def
appThm
nil
522
ref
4035
ref
cons
nil
cons
nil
cons
cons
5284
def
3509
ref
subst
5285
def
trans
trans
appThm
5231
remove
refl
appThm
nil
522
ref
5269
remove
cons
nil
cons
nil
cons
cons
3500
ref
subst
trans
appThm
nil
442
ref
4755
remove
cons
nil
cons
nil
cons
cons
1183
ref
subst
trans
appThm
4759
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5239
remove
cons
78
ref
5221
remove
cons
nil
cons
5286
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5237
remove
cons
5286
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
5233
ref
1909
ref
appTerm
appTerm
5220
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5234
remove
appTerm
5220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5233
remove
nil
cons
cons
5286
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
5219
remove
cons
5286
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5216
remove
5220
remove
appTerm
nil
cons
cons
31
ref
5218
remove
5205
ref
2458
ref
appTerm
5287
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5217
ref
nil
cons
5288
def
cons
31
ref
5287
ref
nil
cons
5289
def
cons
nil
cons
5290
def
cons
nil
cons
cons
5291
def
49
ref
subst
5291
remove
121
ref
subst
4771
ref
3414
ref
170
ref
appTerm
5292
def
betaConv
3416
ref
445
ref
appTerm
5293
def
betaConv
3418
remove
nil
30
ref
3417
remove
nil
cons
cons
31
ref
5293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3416
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
3415
remove
nil
cons
cons
31
ref
5292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
3414
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5294
def
subst
nil
163
ref
4752
ref
cons
5295
def
442
ref
574
ref
cons
5296
def
nil
cons
5297
def
cons
nil
cons
cons
4015
ref
subst
trans
5217
remove
assume
eqMp
nil
30
ref
1531
ref
4002
ref
242
ref
4733
ref
appTerm
3626
ref
4006
ref
appTerm
5298
def
appTerm
5299
def
absTerm
5300
def
appTerm
5301
def
nil
cons
cons
5290
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
5300
ref
4005
ref
appTerm
5302
def
appTerm
5287
ref
appTerm
5303
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
5303
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5302
ref
nil
cons
5304
def
cons
5290
ref
cons
nil
cons
cons
5305
def
49
ref
subst
5305
remove
121
ref
subst
5302
ref
betaConv
5302
remove
assume
eqMp
nil
30
ref
5299
ref
nil
cons
5306
def
cons
5290
remove
cons
nil
cons
cons
5307
def
101
ref
subst
proveHyp
5307
ref
49
ref
subst
5307
remove
121
ref
subst
13
ref
"_29116"
162
ref
var
5308
def
242
ref
2456
ref
2457
ref
5308
remove
varTerm
appTerm
appTerm
525
ref
appTerm
appTerm
2458
ref
appTerm
absTerm
5309
def
4733
ref
appTerm
5310
def
appTerm
refl
5309
ref
5298
ref
appTerm
betaConv
appThm
80
ref
5310
remove
betaConv
appThm
242
ref
2456
ref
2457
ref
5298
ref
appTerm
appTerm
525
ref
appTerm
appTerm
2458
ref
appTerm
5311
def
refl
appThm
trans
5309
remove
refl
5299
remove
assume
appThm
eqMp
sym
163
ref
5311
remove
absTerm
5312
def
170
ref
appTerm
5313
def
betaConv
5314
def
522
ref
178
ref
5312
ref
appTerm
5315
def
absTerm
5316
def
525
ref
appTerm
5317
def
betaConv
5318
def
257
ref
163
ref
387
ref
nil
163
ref
2457
ref
2276
ref
4006
ref
appTerm
appTerm
5319
def
nil
cons
cons
nil
cons
nil
cons
cons
2563
ref
subst
appThm
2563
ref
appThm
820
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
242
ref
2456
ref
5319
remove
appTerm
164
ref
appTerm
appTerm
2545
ref
appTerm
absTerm
appTerm
5320
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
5315
ref
appTerm
178
ref
163
ref
242
ref
2456
ref
2457
ref
467
ref
553
ref
appTerm
4006
ref
appTerm
appTerm
5321
def
appTerm
553
ref
appTerm
appTerm
2567
ref
appTerm
absTerm
appTerm
5322
def
appTerm
5323
def
absTerm
5324
def
appTerm
5325
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
5324
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5323
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5315
remove
nil
cons
5326
def
cons
5327
def
31
ref
5322
remove
nil
cons
5328
def
cons
nil
cons
cons
nil
cons
cons
5329
def
49
ref
subst
5329
remove
121
ref
subst
257
ref
163
ref
387
ref
nil
163
ref
5321
remove
nil
cons
cons
nil
cons
nil
cons
cons
2753
ref
subst
1609
ref
239
ref
2776
ref
nil
4007
remove
5297
ref
cons
nil
cons
cons
4664
ref
subst
appThm
nil
522
ref
5298
ref
nil
cons
cons
nil
cons
nil
cons
cons
2753
ref
subst
trans
5330
def
appThm
nil
1135
ref
2582
remove
5298
remove
appTerm
nil
cons
cons
889
remove
cons
nil
cons
cons
5331
def
1329
ref
subst
trans
appThm
3309
ref
862
ref
5330
remove
appThm
5331
remove
1603
ref
subst
trans
appThm
1806
ref
appThm
521
ref
5314
remove
nil
5327
remove
31
ref
5313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
5332
def
182
ref
183
ref
5312
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
5333
def
eqMp
eqMp
subst
trans
appThm
trans
appThm
2753
ref
appThm
2754
remove
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
5326
remove
cons
78
ref
5328
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
5320
remove
appTerm
5325
remove
appTerm
nil
cons
cons
31
ref
178
ref
5316
ref
appTerm
nil
cons
5334
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
5316
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
5318
ref
appThm
5316
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
5318
remove
absThm
appThm
appThm
nil
597
ref
5316
remove
nil
cons
5335
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
5334
remove
cons
31
ref
5317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5335
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5332
remove
proveHyp
5333
remove
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5306
remove
cons
78
ref
5289
remove
cons
nil
cons
5336
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5304
remove
cons
5336
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
5300
ref
1909
ref
appTerm
appTerm
5287
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5301
remove
appTerm
5287
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5300
remove
nil
cons
cons
5336
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
5288
remove
cons
5336
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
5337
def
subst
2776
ref
580
ref
163
ref
242
ref
3022
remove
170
ref
appTerm
appTerm
170
ref
appTerm
absTerm
5338
def
170
ref
appTerm
5339
def
betaConv
nil
178
ref
5338
ref
appTerm
5340
def
axiom
nil
30
ref
5340
remove
nil
cons
cons
31
ref
5339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5338
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
trans
appThm
2458
ref
refl
appThm
nil
184
ref
2479
ref
cons
nil
cons
5341
def
nil
cons
cons
425
ref
subst
5342
def
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
2458
ref
appTerm
525
ref
appTerm
appTerm
2458
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
80
ref
257
ref
163
ref
257
ref
522
ref
163
ref
522
ref
497
ref
504
ref
2458
ref
appTerm
525
ref
appTerm
appTerm
526
ref
appTerm
5343
def
absTerm
5344
def
absTerm
5345
def
170
ref
appTerm
betaConv
1806
ref
appThm
5344
ref
525
ref
appTerm
betaConv
trans
5346
def
absThm
appThm
absThm
appThm
appThm
257
ref
522
ref
257
ref
163
ref
5346
remove
absThm
appThm
absThm
appThm
appThm
nil
1808
remove
5345
remove
nil
cons
cons
nil
cons
nil
cons
cons
1817
remove
subst
eqMp
sym
257
ref
163
ref
498
ref
nil
163
ref
2555
remove
cons
nil
cons
nil
cons
cons
542
ref
subst
appThm
542
ref
appThm
549
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
163
ref
497
ref
504
ref
2545
remove
appTerm
164
ref
appTerm
appTerm
537
ref
appTerm
absTerm
appTerm
5347
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
178
ref
163
ref
5343
remove
absTerm
5348
def
appTerm
5349
def
appTerm
178
ref
163
ref
497
ref
504
ref
2567
ref
appTerm
553
ref
appTerm
appTerm
554
ref
appTerm
absTerm
appTerm
5350
def
appTerm
5351
def
absTerm
5352
def
appTerm
5353
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
5352
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5351
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5349
ref
nil
cons
5354
def
cons
5355
def
31
ref
5350
remove
nil
cons
5356
def
cons
nil
cons
cons
nil
cons
cons
5357
def
49
ref
subst
5357
remove
121
ref
subst
257
ref
163
ref
498
ref
nil
163
ref
2586
remove
cons
nil
cons
nil
cons
cons
576
ref
subst
859
ref
239
ref
2753
ref
appThm
2640
ref
1329
ref
subst
trans
appThm
861
ref
862
ref
2753
ref
appThm
2640
remove
1603
ref
subst
trans
appThm
1806
ref
appThm
521
ref
5348
ref
170
ref
appTerm
5358
def
betaConv
nil
5355
remove
31
ref
5358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
5348
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
trans
appThm
576
ref
appThm
593
remove
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
5354
remove
cons
78
ref
5356
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
5347
remove
appTerm
5353
remove
appTerm
nil
cons
cons
31
ref
178
ref
522
ref
5349
remove
absTerm
5359
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
5359
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
5359
ref
525
ref
appTerm
betaConv
5360
def
appThm
5359
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
5360
remove
absThm
appThm
appThm
nil
597
ref
5359
remove
nil
cons
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
eqMp
nil
178
ref
163
ref
178
ref
5344
remove
appTerm
absTerm
appTerm
thm
nil
183
ref
522
ref
242
ref
463
ref
531
ref
1994
ref
appTerm
283
ref
appTerm
5361
def
appTerm
appTerm
525
ref
appTerm
5362
def
absTerm
5363
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5362
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
387
ref
865
ref
522
ref
242
ref
5361
ref
appTerm
331
ref
3592
ref
55
ref
appTerm
5364
def
525
ref
appTerm
5365
def
appTerm
5366
def
appTerm
5367
def
absTerm
5368
def
525
ref
appTerm
5369
def
betaConv
257
ref
522
ref
5367
remove
assume
sym
242
ref
5366
ref
appTerm
5370
def
5361
ref
appTerm
5371
def
assume
sym
deductAntisym
absThm
appThm
nil
183
ref
522
ref
5371
ref
absTerm
5372
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5371
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
522
ref
242
ref
245
ref
5366
ref
appTerm
appTerm
1994
ref
appTerm
5373
def
absTerm
5374
def
525
ref
appTerm
5375
def
betaConv
5376
def
387
ref
251
ref
1769
ref
nil
153
ref
270
ref
cons
nil
cons
5377
def
nil
cons
cons
3590
ref
subst
appThm
384
ref
trans
appThm
appThm
4633
remove
appThm
nil
184
ref
3526
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
nil
30
ref
242
ref
245
ref
331
ref
5364
ref
164
ref
appTerm
appTerm
appTerm
appTerm
4628
remove
appTerm
5378
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
5373
ref
appTerm
242
ref
245
ref
331
ref
5364
ref
553
ref
appTerm
appTerm
appTerm
appTerm
1993
remove
553
ref
appTerm
appTerm
5379
def
appTerm
5380
def
absTerm
5381
def
appTerm
5382
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
5381
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5380
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5373
ref
nil
cons
5383
def
cons
31
ref
5379
remove
nil
cons
5384
def
cons
nil
cons
cons
nil
cons
cons
5385
def
49
ref
subst
5385
remove
121
ref
subst
387
ref
251
remove
1769
ref
nil
578
ref
5377
ref
cons
nil
cons
cons
5386
def
3613
ref
subst
appThm
nil
886
ref
5365
ref
nil
cons
5387
def
cons
4652
remove
cons
nil
cons
cons
1133
ref
subst
trans
appThm
nil
163
ref
5366
ref
nil
cons
5388
def
cons
nil
cons
nil
cons
cons
5389
def
4876
ref
170
ref
appTerm
5390
def
betaConv
4875
remove
nil
30
ref
4877
remove
nil
cons
cons
31
ref
5390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4876
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2637
remove
5373
remove
assume
5391
def
appThm
trans
trans
appThm
2054
remove
appThm
sym
nil
1135
ref
2057
remove
cons
2618
ref
cons
nil
cons
cons
1170
ref
subst
2620
ref
2082
ref
refl
appThm
nil
163
ref
2082
remove
nil
cons
cons
nil
cons
nil
cons
cons
2299
ref
subst
trans
trans
eqMp
eqMp
nil
76
ref
5383
remove
cons
78
ref
5384
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
5378
remove
appTerm
5382
remove
appTerm
nil
cons
cons
31
ref
178
ref
5374
ref
appTerm
nil
cons
5392
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
5374
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
5376
ref
appThm
5374
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
5376
remove
absThm
appThm
appThm
nil
597
ref
5374
remove
nil
cons
5393
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
5392
remove
cons
31
ref
5375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5393
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5370
remove
refl
672
ref
5391
remove
sym
appThm
675
ref
appThm
5389
remove
587
ref
subst
trans
appThm
nil
184
ref
5388
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
proveHyp
eqMp
absThm
eqMp
5394
def
eqMp
nil
30
ref
178
ref
5368
ref
appTerm
nil
cons
cons
31
ref
5369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5368
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5395
def
appThm
appThm
1806
ref
appThm
sym
479
ref
38
ref
242
ref
463
ref
5366
remove
appTerm
5396
def
appTerm
5397
def
1345
ref
appTerm
appTerm
1346
ref
525
ref
appTerm
appTerm
absTerm
5398
def
942
ref
5365
ref
appTerm
5399
def
appTerm
betaConv
sym
nil
4
ref
5387
remove
cons
nil
cons
nil
cons
cons
5400
def
2452
remove
subst
1282
ref
522
ref
13
ref
15
ref
3592
ref
287
ref
appTerm
5401
def
525
ref
appTerm
5402
def
appTerm
appTerm
19
ref
529
ref
appTerm
5403
def
287
ref
appTerm
5404
def
appTerm
5405
def
absTerm
5406
def
525
ref
appTerm
5407
def
betaConv
5408
def
80
ref
15
ref
refl
5409
def
nil
299
ref
nil
cons
cons
3590
remove
subst
appThm
158
remove
trans
appThm
134
ref
820
ref
appThm
287
ref
refl
5410
def
appThm
nil
63
ref
298
ref
cons
nil
cons
nil
cons
cons
5411
def
156
ref
subst
trans
appThm
957
ref
trans
sym
68
ref
eqMp
nil
30
ref
13
ref
15
ref
5401
ref
164
ref
appTerm
appTerm
appTerm
19
ref
551
remove
appTerm
287
ref
appTerm
appTerm
5412
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
5405
ref
appTerm
13
ref
15
remove
5401
remove
553
ref
appTerm
appTerm
appTerm
19
ref
556
remove
appTerm
287
ref
appTerm
appTerm
5413
def
appTerm
5414
def
absTerm
5415
def
appTerm
5416
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
5415
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5414
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5405
ref
nil
cons
5417
def
cons
31
ref
5413
remove
nil
cons
5418
def
cons
nil
cons
cons
nil
cons
cons
5419
def
49
ref
subst
5419
remove
121
ref
subst
80
ref
5409
remove
nil
578
ref
299
ref
cons
nil
cons
cons
5420
def
3613
remove
subst
appThm
nil
886
ref
5402
remove
nil
cons
cons
1153
remove
cons
nil
cons
cons
1095
remove
subst
1030
ref
5420
remove
138
ref
163
ref
13
ref
142
remove
3606
ref
appTerm
appTerm
412
ref
appTerm
absTerm
5421
def
170
ref
appTerm
5422
def
betaConv
116
ref
178
ref
5421
ref
appTerm
5423
def
absTerm
5424
def
117
ref
appTerm
5425
def
betaConv
nil
111
ref
5424
ref
appTerm
5426
def
axiom
nil
30
ref
5426
remove
nil
cons
cons
31
ref
5425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
5424
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5423
remove
nil
cons
cons
31
ref
5422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5421
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
5410
ref
appThm
5405
remove
assume
appThm
trans
trans
appThm
134
ref
581
remove
appThm
5410
ref
appThm
5411
remove
1029
ref
subst
5427
def
trans
appThm
sym
80
ref
"_29055"
1
ref
var
5428
def
13
ref
5428
remove
varTerm
appTerm
287
ref
appTerm
absTerm
5429
def
994
ref
529
ref
appTerm
287
ref
appTerm
5404
ref
appTerm
appTerm
betaConv
appThm
596
ref
32
ref
529
ref
appTerm
5430
def
refl
5429
ref
287
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
529
ref
appTerm
5431
def
appTerm
5432
def
refl
5429
ref
5404
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1760
ref
5404
ref
nil
cons
cons
1762
ref
298
remove
cons
1697
ref
529
ref
nil
cons
5433
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
1764
ref
5429
remove
nil
cons
cons
nil
cons
nil
cons
cons
1765
ref
subst
subst
eqMp
sym
nil
30
ref
5433
ref
cons
5434
def
31
ref
1255
remove
287
ref
appTerm
5435
def
nil
cons
5436
def
cons
nil
cons
cons
nil
cons
cons
5437
def
49
ref
subst
5437
remove
121
ref
subst
5410
remove
eqMp
nil
76
ref
5433
ref
cons
5438
def
78
ref
5436
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5430
remove
5435
remove
appTerm
nil
cons
cons
31
ref
5432
remove
13
ref
5404
remove
appTerm
287
ref
appTerm
5439
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5431
ref
nil
cons
5440
def
cons
5441
def
31
ref
5439
remove
nil
cons
5442
def
cons
nil
cons
cons
nil
cons
cons
5443
def
49
ref
subst
5443
remove
121
ref
subst
13
ref
"_29059"
1
ref
var
5444
def
13
ref
19
ref
5444
remove
varTerm
appTerm
287
ref
appTerm
appTerm
287
ref
appTerm
absTerm
5445
def
529
ref
appTerm
5446
def
appTerm
refl
5445
ref
191
ref
appTerm
betaConv
appThm
80
ref
5446
remove
betaConv
appThm
13
ref
1025
ref
287
ref
appTerm
appTerm
287
ref
appTerm
refl
appThm
trans
5445
remove
refl
nil
5441
remove
31
ref
13
ref
529
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
5438
ref
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
eqMp
sym
5427
remove
eqMp
eqMp
nil
76
ref
5440
ref
cons
78
ref
5442
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5417
remove
cons
78
ref
5418
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
5412
remove
appTerm
5416
remove
appTerm
nil
cons
cons
31
ref
178
ref
5406
ref
appTerm
5447
def
nil
cons
5448
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
5406
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
5408
ref
appThm
5406
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
5408
remove
absThm
appThm
appThm
nil
597
ref
5406
remove
nil
cons
5449
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
5450
def
nil
30
ref
5448
ref
cons
31
ref
5407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5449
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
nil
63
ref
5433
remove
cons
nil
cons
nil
cons
cons
4295
ref
subst
trans
trans
sym
68
ref
eqMp
nil
30
ref
5397
ref
5399
ref
appTerm
nil
cons
cons
31
ref
242
ref
5399
ref
appTerm
525
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
5386
remove
138
ref
163
ref
242
ref
950
ref
3606
ref
appTerm
appTerm
170
ref
appTerm
absTerm
5451
def
170
ref
appTerm
5452
def
betaConv
116
ref
178
ref
5451
ref
appTerm
5453
def
absTerm
5454
def
117
ref
appTerm
5455
def
betaConv
nil
111
ref
5454
ref
appTerm
5456
def
axiom
nil
30
ref
5456
remove
nil
cons
cons
31
ref
5455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
5454
remove
nil
cons
cons
799
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5453
remove
nil
cons
cons
31
ref
5452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5451
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
5457
def
eqMp
eqMp
182
ref
183
ref
5398
ref
nil
cons
cons
184
ref
5399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
5398
remove
appTerm
nil
cons
cons
31
ref
5397
remove
525
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
ref
574
ref
cons
184
ref
5396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1602
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
178
ref
5363
remove
appTerm
thm
nil
152
ref
4977
ref
150
ref
4978
ref
13
ref
407
ref
4980
ref
appTerm
4982
ref
appTerm
appTerm
38
ref
160
ref
4979
ref
appTerm
5458
def
appTerm
4981
ref
appTerm
5459
def
appTerm
5460
def
absTerm
5461
def
appTerm
5462
def
absTerm
5463
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4977
ref
nil
63
ref
5462
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
5461
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4978
ref
nil
63
ref
5460
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
nil
442
ref
4982
ref
nil
cons
cons
163
ref
4980
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3419
ref
subst
161
ref
nil
4978
ref
4989
ref
cons
4977
ref
4992
ref
cons
nil
cons
cons
nil
cons
cons
80
ref
3711
ref
4991
remove
appThm
4994
remove
appThm
appThm
19
ref
5458
ref
appTerm
4981
ref
appTerm
5464
def
refl
appThm
sym
nil
4997
ref
31
ref
13
ref
3365
ref
4998
remove
appTerm
4999
ref
appTerm
appTerm
5464
ref
appTerm
nil
cons
5465
def
cons
nil
cons
5466
def
cons
nil
cons
cons
5467
def
49
ref
subst
5467
remove
121
ref
subst
13
ref
"_29208"
1
ref
var
5468
def
13
ref
3365
ref
294
ref
5468
remove
varTerm
5469
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
4999
ref
appTerm
appTerm
19
ref
160
ref
5469
remove
appTerm
appTerm
4981
ref
appTerm
appTerm
absTerm
5470
def
4979
ref
appTerm
5471
def
appTerm
refl
5472
def
5470
ref
191
ref
appTerm
betaConv
appThm
80
ref
5471
remove
betaConv
appThm
5473
def
13
ref
3365
ref
5009
ref
appTerm
5474
def
4999
ref
appTerm
appTerm
19
ref
235
ref
appTerm
5475
def
4981
ref
appTerm
appTerm
5476
def
refl
appThm
trans
5470
remove
refl
5477
def
5013
ref
appThm
eqMp
sym
nil
5017
ref
31
ref
5476
remove
nil
cons
5478
def
cons
nil
cons
5479
def
cons
nil
cons
cons
5480
def
49
ref
subst
5480
remove
121
ref
subst
13
ref
"_29216"
1
ref
var
5481
def
13
ref
5474
ref
294
ref
5481
remove
varTerm
5482
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
5475
ref
5482
remove
appTerm
appTerm
absTerm
5483
def
4981
ref
appTerm
5484
def
appTerm
refl
5485
def
5483
ref
191
ref
appTerm
betaConv
appThm
80
ref
5484
remove
betaConv
appThm
5486
def
13
ref
5474
ref
5009
ref
appTerm
appTerm
5475
ref
191
ref
appTerm
5487
def
appTerm
refl
appThm
trans
5483
remove
refl
5488
def
5028
ref
appThm
eqMp
sym
80
ref
3711
ref
5040
ref
appThm
5489
def
5040
ref
appThm
4350
remove
trans
appThm
nil
63
ref
235
ref
nil
cons
cons
nil
cons
nil
cons
cons
5490
def
4241
ref
subst
236
ref
trans
5491
def
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5029
ref
78
ref
5478
ref
cons
nil
cons
5492
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5033
ref
5479
remove
cons
nil
cons
cons
5493
def
49
ref
subst
5493
remove
121
ref
subst
5485
remove
"_29214"
1
ref
var
5494
def
13
ref
5474
ref
294
ref
5494
remove
varTerm
5495
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
5475
ref
5495
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5486
remove
13
ref
5474
remove
5037
ref
appTerm
appTerm
5475
ref
55
ref
appTerm
5496
def
appTerm
refl
appThm
trans
5488
remove
5038
ref
appThm
eqMp
sym
80
ref
5489
remove
5041
ref
appThm
3542
remove
trans
appThm
5490
ref
4295
ref
subst
5497
def
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5042
ref
5492
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5045
ref
nil
5042
ref
5046
ref
839
ref
5478
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
5047
ref
78
ref
5465
ref
cons
nil
cons
5498
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5051
ref
5466
remove
cons
nil
cons
cons
5499
def
49
ref
subst
5499
remove
121
ref
subst
5472
remove
"_29206"
1
ref
var
5500
def
13
ref
3365
ref
294
ref
5500
remove
varTerm
5501
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
4999
ref
appTerm
appTerm
19
ref
160
ref
5501
remove
appTerm
appTerm
4981
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5473
remove
13
ref
3365
ref
5037
ref
appTerm
5502
def
4999
remove
appTerm
appTerm
19
ref
1310
ref
appTerm
5503
def
4981
ref
appTerm
appTerm
5504
def
refl
appThm
trans
5477
remove
5057
ref
appThm
eqMp
sym
nil
5017
remove
31
ref
5504
remove
nil
cons
5505
def
cons
nil
cons
5506
def
cons
nil
cons
cons
5507
def
49
ref
subst
5507
remove
121
ref
subst
13
ref
"_29212"
1
ref
var
5508
def
13
ref
5502
ref
294
ref
5508
remove
varTerm
5509
def
appTerm
423
ref
appTerm
164
ref
appTerm
appTerm
appTerm
5503
ref
5509
remove
appTerm
appTerm
absTerm
5510
def
4981
ref
appTerm
5511
def
appTerm
refl
5512
def
5510
ref
191
ref
appTerm
betaConv
appThm
80
ref
5511
remove
betaConv
appThm
5513
def
13
ref
5502
ref
5009
remove
appTerm
appTerm
5503
ref
191
ref
appTerm
5514
def
appTerm
refl
appThm
trans
5510
remove
refl
5515
def
5028
remove
appThm
eqMp
sym
80
ref
3711
ref
5041
ref
appThm
5516
def
5040
remove
appThm
nil
3547
remove
nil
cons
cons
5169
ref
445
ref
appTerm
5517
def
betaConv
5171
remove
nil
30
ref
5170
remove
nil
cons
cons
31
ref
5517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5169
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5518
def
subst
3512
remove
trans
trans
appThm
nil
63
ref
1310
ref
nil
cons
cons
nil
cons
nil
cons
cons
5519
def
4241
remove
subst
1311
ref
trans
5520
def
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5029
remove
78
ref
5505
ref
cons
nil
cons
5521
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5033
remove
5506
remove
cons
nil
cons
cons
5522
def
49
ref
subst
5522
remove
121
ref
subst
5512
remove
"_29210"
1
ref
var
5523
def
13
ref
5502
ref
294
ref
5523
remove
varTerm
5524
def
appTerm
423
remove
appTerm
164
ref
appTerm
appTerm
appTerm
5503
ref
5524
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5513
remove
13
ref
5502
remove
5037
remove
appTerm
appTerm
5503
ref
55
ref
appTerm
5525
def
appTerm
refl
appThm
trans
5515
remove
5038
remove
appThm
eqMp
sym
80
ref
5516
remove
5041
remove
appThm
3554
remove
trans
appThm
5519
ref
4295
remove
subst
5526
def
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5042
ref
5521
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5045
remove
nil
5042
remove
5046
remove
839
ref
5505
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
5072
ref
5498
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5074
ref
nil
5072
ref
5075
ref
839
ref
5465
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
5527
def
subst
appThm
nil
1033
ref
4989
remove
cons
1034
ref
160
ref
4981
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3360
remove
subst
596
ref
nil
63
ref
4992
remove
cons
nil
cons
nil
cons
cons
5528
def
1328
remove
subst
appThm
5458
ref
refl
appThm
trans
trans
trans
appThm
5459
ref
refl
appThm
sym
nil
4997
remove
31
ref
13
ref
38
ref
4981
ref
appTerm
5529
def
5458
remove
appTerm
appTerm
5459
remove
appTerm
nil
cons
5530
def
cons
nil
cons
5531
def
cons
nil
cons
cons
5532
def
49
ref
subst
5532
remove
121
ref
subst
13
ref
"_29220"
1
ref
var
5533
def
13
ref
5529
ref
160
ref
5533
remove
varTerm
appTerm
5534
def
appTerm
appTerm
38
ref
5534
remove
appTerm
4981
ref
appTerm
appTerm
absTerm
5535
def
4979
remove
appTerm
5536
def
appTerm
refl
5537
def
5535
ref
191
ref
appTerm
betaConv
appThm
80
ref
5536
remove
betaConv
appThm
5538
def
13
ref
5529
ref
235
ref
appTerm
appTerm
1656
ref
4981
ref
appTerm
appTerm
refl
appThm
trans
5535
remove
refl
5539
def
5013
remove
appThm
eqMp
sym
80
ref
5529
ref
refl
5540
def
236
ref
appThm
5528
ref
4001
ref
subst
trans
appThm
1666
remove
4981
ref
refl
5541
def
appThm
5528
ref
749
ref
subst
trans
appThm
nil
5044
remove
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5047
remove
78
ref
5530
ref
cons
nil
cons
5542
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5051
remove
5531
remove
cons
nil
cons
cons
5543
def
49
ref
subst
5543
remove
121
ref
subst
5537
remove
"_29218"
1
ref
var
5544
def
13
ref
5529
ref
160
ref
5544
remove
varTerm
appTerm
5545
def
appTerm
appTerm
38
ref
5545
remove
appTerm
4981
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
5538
remove
13
ref
5529
remove
1310
ref
appTerm
appTerm
1747
ref
4981
remove
appTerm
appTerm
refl
appThm
trans
5539
remove
5057
remove
appThm
eqMp
sym
80
ref
5540
remove
1311
ref
appThm
5528
ref
4442
ref
subst
trans
appThm
1752
remove
5541
remove
appThm
5528
remove
1318
ref
subst
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5072
ref
5542
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
5074
remove
nil
5072
remove
5075
remove
839
ref
5530
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
5546
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
5463
remove
appTerm
thm
nil
152
ref
4977
ref
150
ref
4978
ref
13
ref
3365
ref
4980
remove
appTerm
4982
remove
appTerm
appTerm
5464
remove
appTerm
5547
def
absTerm
5548
def
appTerm
5549
def
absTerm
5550
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4977
ref
nil
63
ref
5549
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
5548
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
4978
ref
nil
63
ref
5547
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
5527
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
5550
remove
appTerm
thm
nil
152
ref
284
ref
5447
remove
absTerm
5551
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
284
ref
nil
63
ref
5448
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
5450
remove
eqMp
absThm
eqMp
nil
150
ref
5551
remove
appTerm
thm
nil
152
ref
31
ref
178
ref
163
ref
13
ref
"Number.Natural.Bits.compare"
const
10
ref
1
ref
241
remove
nil
cons
cons
opType
constTerm
5552
def
35
ref
appTerm
5553
def
170
ref
appTerm
164
ref
appTerm
appTerm
38
ref
35
ref
appTerm
412
ref
appTerm
5554
def
appTerm
5555
def
absTerm
5556
def
appTerm
5557
def
absTerm
5558
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
31
ref
nil
63
ref
5557
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5556
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5555
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
3267
remove
163
ref
13
ref
5553
ref
445
ref
appTerm
170
ref
appTerm
appTerm
994
ref
35
ref
appTerm
5559
def
3405
ref
appTerm
447
ref
appTerm
appTerm
absTerm
5560
def
170
ref
appTerm
5561
def
betaConv
442
ref
178
ref
5560
ref
appTerm
5562
def
absTerm
5563
def
445
ref
appTerm
5564
def
betaConv
31
ref
178
ref
5563
ref
appTerm
5565
def
absTerm
5566
def
35
ref
appTerm
5567
def
betaConv
nil
150
ref
5566
ref
appTerm
5568
def
axiom
nil
30
ref
5568
remove
nil
cons
cons
31
ref
5567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
5566
remove
nil
cons
cons
153
ref
71
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5565
remove
nil
cons
cons
31
ref
5564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5563
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5562
remove
nil
cons
cons
31
ref
5561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5560
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5569
def
subst
appThm
5554
ref
refl
appThm
sym
80
ref
"_29234"
1
ref
var
5570
def
13
ref
5570
remove
varTerm
appTerm
5554
ref
appTerm
absTerm
5571
def
5559
ref
3366
ref
164
ref
appTerm
5572
def
appTerm
717
ref
164
ref
appTerm
5573
def
appTerm
appTerm
betaConv
appThm
596
ref
215
ref
5571
ref
5572
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
35
ref
appTerm
5574
def
appTerm
5575
def
refl
5576
def
5571
ref
5573
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1760
ref
5573
ref
nil
cons
cons
1762
ref
5572
ref
nil
cons
cons
1697
ref
71
ref
cons
nil
cons
5577
def
cons
cons
nil
cons
cons
nil
1764
ref
5571
remove
nil
cons
cons
nil
cons
nil
cons
cons
1765
ref
subst
subst
eqMp
sym
nil
204
ref
31
ref
13
ref
5572
remove
appTerm
5578
def
5554
ref
appTerm
5579
def
nil
cons
5580
def
cons
nil
cons
cons
nil
cons
cons
5581
def
49
ref
subst
5581
remove
121
ref
subst
13
ref
"_29236"
1
ref
var
5582
def
5578
ref
38
ref
5582
remove
varTerm
appTerm
412
ref
appTerm
appTerm
absTerm
5583
def
35
ref
appTerm
5584
def
appTerm
refl
5583
ref
55
ref
appTerm
betaConv
appThm
80
ref
5584
remove
betaConv
appThm
5578
remove
745
ref
412
ref
appTerm
appTerm
refl
appThm
trans
5583
remove
refl
74
ref
appThm
eqMp
sym
80
ref
2550
ref
5518
ref
subst
appThm
3189
ref
749
ref
subst
appThm
5202
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
207
ref
78
ref
5580
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
212
ref
5579
remove
appTerm
nil
cons
cons
31
ref
5575
ref
13
ref
5573
remove
appTerm
5585
def
5554
remove
appTerm
5586
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5574
remove
nil
cons
5587
def
cons
5588
def
31
ref
5586
remove
nil
cons
5589
def
cons
nil
cons
cons
nil
cons
cons
5590
def
49
ref
subst
5590
remove
121
ref
subst
13
ref
"_29238"
1
ref
var
5591
def
5585
ref
38
ref
5591
remove
varTerm
appTerm
412
ref
appTerm
appTerm
absTerm
5592
def
35
ref
appTerm
5593
def
appTerm
refl
5592
ref
191
ref
appTerm
betaConv
appThm
80
ref
5593
remove
betaConv
appThm
5585
remove
1314
ref
412
ref
appTerm
appTerm
refl
appThm
trans
5592
remove
refl
nil
5588
ref
31
ref
13
ref
35
ref
appTerm
5594
def
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
207
ref
nil
cons
nil
cons
cons
233
ref
subst
eqMp
5595
def
appThm
eqMp
sym
80
ref
2550
ref
2344
remove
subst
appThm
3189
ref
1318
ref
subst
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
5587
remove
cons
5596
def
78
ref
5589
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
5558
remove
appTerm
thm
2191
remove
nil
2192
remove
thm
1308
remove
nil
1309
remove
thm
257
ref
442
ref
257
ref
163
ref
80
ref
nil
163
ref
3283
remove
cons
nil
cons
nil
cons
cons
5597
def
163
ref
172
remove
3579
ref
appTerm
5598
def
absTerm
5599
def
170
ref
appTerm
5600
def
betaConv
257
ref
163
ref
5598
remove
assume
sym
3580
remove
assume
sym
deductAntisym
absThm
appThm
3578
remove
eqMp
nil
30
ref
178
ref
5599
ref
appTerm
nil
cons
cons
31
ref
5600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5599
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5601
def
subst
2160
ref
3072
ref
subst
trans
appThm
596
ref
nil
4707
ref
nil
cons
cons
5602
def
5601
ref
subst
5603
def
appThm
5601
ref
appThm
appThm
nil
153
ref
38
ref
2889
ref
164
ref
appTerm
5604
def
appTerm
3579
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
5605
def
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
442
ref
178
ref
163
ref
13
ref
169
ref
2887
ref
appTerm
5606
def
appTerm
38
ref
169
ref
445
ref
appTerm
5607
def
appTerm
5608
def
171
ref
appTerm
5609
def
appTerm
absTerm
appTerm
absTerm
appTerm
thm
257
ref
442
ref
257
ref
163
ref
80
ref
nil
163
ref
3483
ref
cons
nil
cons
nil
cons
cons
5610
def
5601
ref
subst
2160
remove
3466
ref
subst
trans
appThm
134
ref
5603
remove
appThm
5601
remove
appThm
appThm
nil
153
ref
19
ref
5604
remove
appTerm
3579
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
5611
def
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
442
ref
178
ref
163
ref
13
ref
169
ref
3319
ref
appTerm
5612
def
appTerm
19
ref
5607
ref
appTerm
5613
def
171
ref
appTerm
5614
def
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
242
ref
388
ref
2887
ref
appTerm
5615
def
appTerm
2882
ref
388
ref
445
ref
appTerm
5616
def
appTerm
389
ref
appTerm
5617
def
appTerm
5618
def
absTerm
5619
def
appTerm
5620
def
absTerm
5621
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
5620
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5619
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5618
remove
nil
cons
5622
def
cons
nil
cons
nil
cons
cons
69
ref
subst
257
ref
1939
ref
80
ref
5597
ref
1939
ref
13
ref
1944
remove
appTerm
1943
ref
appTerm
5623
def
absTerm
5624
def
1941
ref
appTerm
5625
def
betaConv
163
ref
178
ref
5624
ref
appTerm
5626
def
absTerm
5627
def
170
ref
appTerm
5628
def
betaConv
257
ref
163
ref
257
ref
1939
ref
5623
remove
assume
sym
1945
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2155
remove
eqMp
nil
30
ref
178
ref
5627
ref
appTerm
nil
cons
cons
31
ref
5628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5627
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5626
remove
nil
cons
cons
31
ref
5625
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5624
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5629
def
subst
1952
ref
3072
ref
subst
trans
appThm
nil
520
remove
442
ref
5616
ref
nil
cons
5630
def
cons
nil
cons
cons
nil
cons
cons
5631
def
3072
ref
subst
596
ref
5602
ref
5629
ref
subst
5632
def
appThm
5629
ref
appThm
trans
appThm
nil
153
ref
38
ref
2889
remove
1942
ref
appTerm
5633
def
appTerm
1943
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1939
ref
13
ref
1791
ref
5615
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
5617
ref
appTerm
1941
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
5622
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
5617
remove
nil
cons
cons
442
ref
5615
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
5634
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5621
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
242
ref
388
ref
3319
ref
appTerm
5635
def
appTerm
3314
ref
5616
ref
appTerm
389
remove
appTerm
5636
def
appTerm
5637
def
absTerm
5638
def
appTerm
5639
def
absTerm
5640
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
5639
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5638
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5637
remove
nil
cons
5641
def
cons
nil
cons
nil
cons
cons
69
ref
subst
257
ref
1939
ref
80
ref
5610
ref
5629
ref
subst
1952
remove
3466
ref
subst
trans
appThm
5631
ref
3466
ref
subst
134
ref
5632
remove
appThm
5629
remove
appThm
trans
appThm
nil
153
ref
19
ref
5633
remove
appTerm
1943
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1939
ref
13
ref
1791
ref
5635
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
5636
ref
appTerm
1941
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
5641
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
5636
remove
nil
cons
cons
442
ref
5635
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
5642
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5640
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
242
ref
463
ref
4709
ref
appTerm
5643
def
appTerm
3325
ref
appTerm
5644
def
absTerm
5645
def
appTerm
5646
def
absTerm
5647
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
5646
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5645
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5644
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
387
ref
865
ref
163
ref
242
ref
4709
ref
appTerm
5648
def
5206
remove
170
ref
appTerm
445
ref
appTerm
5649
def
appTerm
absTerm
5650
def
170
ref
appTerm
5651
def
betaConv
442
ref
178
ref
5650
ref
appTerm
5652
def
absTerm
5653
def
445
ref
appTerm
5654
def
betaConv
nil
178
ref
5653
ref
appTerm
5655
def
axiom
nil
30
ref
5655
remove
nil
cons
cons
31
ref
5654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5653
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5652
remove
nil
cons
cons
31
ref
5651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5650
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5656
def
appThm
appThm
nil
3685
ref
3420
remove
nil
cons
cons
nil
cons
cons
5657
def
5656
remove
subst
appThm
sym
80
ref
"_29088"
162
ref
var
5658
def
242
ref
463
ref
5658
remove
varTerm
appTerm
appTerm
294
ref
3393
ref
464
ref
appTerm
5659
def
appTerm
464
ref
appTerm
2895
ref
appTerm
5660
def
appTerm
absTerm
5661
def
5649
remove
appTerm
betaConv
appThm
596
ref
32
ref
3405
ref
appTerm
5662
def
refl
5661
ref
170
ref
appTerm
betaConv
appThm
appThm
32
ref
3406
ref
appTerm
5663
def
refl
5661
ref
445
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
458
ref
cons
1695
ref
185
ref
cons
1697
ref
4905
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
1698
ref
5661
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
30
ref
4905
ref
cons
31
ref
465
ref
5660
ref
appTerm
5664
def
nil
cons
5665
def
cons
nil
cons
5666
def
cons
nil
cons
cons
5667
def
49
ref
subst
5667
remove
121
ref
subst
1213
ref
32
ref
3404
ref
1219
ref
appTerm
appTerm
3393
remove
5102
ref
appTerm
appTerm
absTerm
5668
def
170
ref
appTerm
5669
def
betaConv
5107
ref
445
ref
appTerm
5670
def
betaConv
5182
ref
nil
30
ref
5183
remove
nil
cons
cons
5671
def
31
ref
5670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5108
ref
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
5668
ref
appTerm
nil
cons
cons
31
ref
5669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5668
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5662
ref
5659
ref
appTerm
nil
cons
cons
5666
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
4906
remove
69
ref
subst
3405
remove
assume
eqMp
appThm
5659
ref
refl
appThm
nil
63
ref
5659
ref
nil
cons
5672
def
cons
nil
cons
nil
cons
cons
5673
def
1398
ref
subst
trans
appThm
5664
ref
refl
appThm
sym
nil
30
ref
5672
ref
cons
5674
def
5666
remove
cons
nil
cons
cons
5675
def
49
ref
subst
5675
remove
121
ref
subst
465
ref
refl
630
ref
5673
remove
69
ref
subst
5659
ref
assume
eqMp
5676
def
appThm
3581
remove
appThm
2895
ref
refl
5677
def
appThm
nil
301
ref
3020
ref
cons
303
ref
523
ref
cons
nil
cons
cons
nil
cons
cons
823
ref
subst
trans
appThm
3583
remove
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
5672
ref
cons
5678
def
78
ref
5665
remove
cons
nil
cons
5679
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
4905
remove
cons
5680
def
5679
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5662
remove
5664
remove
appTerm
nil
cons
cons
31
ref
5663
remove
242
ref
2895
ref
appTerm
5681
def
5660
ref
appTerm
5682
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
3406
remove
nil
cons
5683
def
cons
5684
def
31
ref
5682
ref
nil
cons
5685
def
cons
nil
cons
5686
def
cons
nil
cons
cons
5687
def
49
ref
subst
5687
remove
121
ref
subst
1213
ref
32
ref
3366
ref
1219
ref
appTerm
appTerm
3395
ref
5102
remove
appTerm
appTerm
absTerm
5688
def
445
ref
appTerm
5689
def
betaConv
5107
remove
170
ref
appTerm
5690
def
betaConv
5182
remove
nil
5671
remove
31
ref
5690
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5108
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
5688
ref
appTerm
nil
cons
cons
31
ref
5689
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5688
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
32
ref
3367
ref
appTerm
3395
ref
2895
ref
appTerm
5691
def
appTerm
5692
def
nil
cons
cons
5686
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
3419
ref
161
ref
nil
5684
remove
31
ref
3938
remove
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
5680
remove
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
trans
sym
68
ref
eqMp
nil
30
ref
3403
remove
nil
cons
cons
31
ref
3367
ref
nil
cons
5693
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
3274
remove
4165
ref
subst
eqMp
nil
30
ref
5693
remove
cons
5694
def
31
ref
32
ref
5691
ref
appTerm
5682
ref
appTerm
5695
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5691
ref
nil
cons
5696
def
cons
5686
remove
cons
nil
cons
cons
5697
def
49
ref
subst
5697
remove
121
ref
subst
80
ref
"_29094"
162
ref
var
5698
def
5681
ref
5698
remove
varTerm
appTerm
absTerm
5699
def
5660
remove
appTerm
betaConv
appThm
596
ref
32
ref
5659
ref
appTerm
5700
def
refl
5699
ref
464
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
5659
remove
appTerm
5701
def
appTerm
5702
def
refl
5699
ref
2895
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
ref
3020
ref
cons
1695
remove
523
ref
cons
1697
ref
5672
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
1698
ref
5699
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
5674
remove
31
ref
5681
ref
464
ref
appTerm
5703
def
nil
cons
5704
def
cons
nil
cons
cons
nil
cons
cons
5705
def
49
ref
subst
5705
remove
121
ref
subst
5657
remove
163
ref
13
ref
696
ref
appTerm
4062
remove
3367
remove
appTerm
5706
def
appTerm
5707
def
absTerm
5708
def
170
ref
appTerm
5709
def
betaConv
442
ref
178
ref
5708
ref
appTerm
5710
def
absTerm
5711
def
445
ref
appTerm
5712
def
betaConv
257
ref
442
ref
257
ref
163
ref
5707
remove
assume
sym
13
ref
5706
remove
appTerm
696
remove
appTerm
5713
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
5713
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
5711
ref
appTerm
nil
cons
cons
31
ref
5712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5711
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5710
remove
nil
cons
cons
31
ref
5709
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5708
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5714
def
subst
596
ref
5676
remove
appThm
nil
63
ref
5696
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
5691
remove
assume
eqMp
appThm
750
ref
trans
trans
sym
68
ref
eqMp
eqMp
nil
5678
remove
78
ref
5704
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5700
remove
5703
remove
appTerm
nil
cons
cons
31
ref
5702
remove
5681
remove
2895
ref
appTerm
5715
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5701
remove
nil
cons
5716
def
cons
31
ref
5715
remove
nil
cons
5717
def
cons
nil
cons
cons
nil
cons
cons
5718
def
49
ref
subst
5718
remove
121
ref
subst
5677
ref
eqMp
nil
76
ref
5716
remove
cons
78
ref
5717
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5696
ref
cons
78
ref
5685
ref
cons
nil
cons
5719
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
3378
remove
5695
remove
appTerm
nil
cons
cons
31
ref
32
ref
5692
remove
appTerm
5682
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
803
remove
5685
remove
cons
31
ref
5696
remove
cons
5694
remove
nil
cons
cons
cons
nil
cons
cons
814
remove
subst
eqMp
eqMp
eqMp
nil
76
ref
5683
remove
cons
5719
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5720
def
nil
178
ref
5647
remove
appTerm
thm
2634
remove
nil
2635
remove
thm
257
ref
163
ref
257
ref
522
ref
387
ref
1979
remove
5097
remove
5099
remove
nil
30
ref
5083
remove
cons
31
ref
5096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5098
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5721
def
subst
5094
remove
2151
remove
subst
401
ref
appThm
nil
186
ref
1911
ref
5084
remove
cons
2014
ref
5095
remove
cons
nil
cons
cons
cons
nil
cons
cons
2139
ref
subst
trans
trans
appThm
nil
163
ref
4665
ref
nil
cons
cons
nil
cons
nil
cons
cons
5721
ref
subst
appThm
nil
184
ref
5077
remove
4665
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
5722
def
nil
178
ref
163
ref
178
ref
522
ref
2610
remove
2469
ref
4665
remove
appTerm
525
ref
appTerm
appTerm
absTerm
5723
def
appTerm
5724
def
absTerm
5725
def
appTerm
5726
def
thm
nil
183
ref
442
ref
178
ref
163
ref
3365
ref
463
ref
1301
ref
appTerm
appTerm
467
ref
2895
ref
appTerm
464
ref
appTerm
appTerm
5727
def
absTerm
5728
def
appTerm
5729
def
absTerm
5730
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
5729
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5728
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5727
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3711
ref
nil
163
ref
1301
ref
nil
cons
5731
def
cons
nil
cons
nil
cons
cons
476
ref
subst
630
ref
2069
remove
appThm
402
ref
appThm
467
ref
469
ref
1301
ref
appTerm
5732
def
appTerm
283
ref
appTerm
5733
def
refl
5734
def
appThm
trans
appThm
673
ref
5602
ref
476
ref
subst
appThm
476
ref
appThm
appThm
sym
nil
30
ref
1404
ref
nil
cons
5735
def
cons
5736
def
31
ref
3365
ref
294
ref
2062
remove
appTerm
164
ref
appTerm
5733
ref
appTerm
appTerm
467
ref
294
ref
1403
ref
appTerm
164
ref
appTerm
467
ref
469
ref
445
ref
appTerm
5737
def
appTerm
5738
def
283
ref
appTerm
5739
def
appTerm
appTerm
472
ref
appTerm
appTerm
nil
cons
5740
def
cons
nil
cons
5741
def
cons
nil
cons
cons
5742
def
49
ref
subst
5742
remove
121
ref
subst
nil
661
ref
5741
ref
cons
nil
cons
cons
5743
def
49
ref
subst
5743
remove
121
ref
subst
3711
ref
630
ref
134
ref
nil
5736
remove
31
ref
5163
remove
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
1403
ref
nil
cons
5744
def
cons
5745
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
5746
def
appThm
5747
def
670
remove
appThm
2081
ref
trans
appThm
402
ref
appThm
5734
remove
appThm
nil
301
ref
5733
remove
nil
cons
cons
645
ref
cons
nil
cons
cons
324
ref
subst
trans
appThm
673
ref
630
ref
5746
ref
appThm
402
ref
appThm
5739
ref
refl
appThm
nil
301
ref
5739
ref
nil
cons
5748
def
cons
645
ref
cons
nil
cons
cons
324
remove
subst
trans
appThm
5749
def
686
remove
appThm
nil
688
remove
163
ref
689
ref
cons
5750
def
442
ref
5748
remove
cons
nil
cons
cons
cons
nil
cons
cons
2659
ref
691
ref
appTerm
5751
def
betaConv
2661
ref
170
ref
appTerm
5752
def
betaConv
2663
ref
445
ref
appTerm
5753
def
betaConv
2665
remove
nil
30
ref
2664
remove
nil
cons
cons
31
ref
5753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2663
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2662
remove
nil
cons
cons
31
ref
5752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2661
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
2660
remove
nil
cons
cons
31
ref
5751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
2659
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5754
def
subst
trans
appThm
nil
687
ref
467
ref
5739
remove
appTerm
5755
def
470
ref
appTerm
nil
cons
cons
1500
remove
163
ref
5732
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4058
remove
subst
trans
sym
3365
ref
5732
remove
appTerm
5756
def
refl
5757
def
nil
687
ref
689
remove
cons
427
remove
442
ref
5737
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2666
ref
subst
appThm
sym
5757
remove
5738
ref
refl
nil
5750
remove
1501
remove
cons
nil
cons
cons
2490
ref
subst
appThm
appThm
sym
743
ref
596
ref
161
ref
5746
remove
appThm
236
ref
trans
appThm
744
remove
appThm
750
ref
trans
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
714
ref
38
ref
1404
remove
appTerm
413
ref
appTerm
appTerm
nil
cons
cons
31
ref
5756
remove
5738
remove
471
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1292
ref
1215
ref
458
ref
cons
2871
ref
cons
cons
nil
cons
cons
1213
ref
32
ref
725
ref
5135
remove
5120
remove
appTerm
appTerm
appTerm
3365
ref
727
remove
1294
ref
appTerm
appTerm
467
ref
5137
remove
appTerm
467
ref
5138
remove
appTerm
283
ref
appTerm
appTerm
appTerm
appTerm
absTerm
5758
def
1219
ref
appTerm
5759
def
betaConv
522
ref
178
ref
5758
ref
appTerm
5760
def
absTerm
5761
def
525
ref
appTerm
5762
def
betaConv
1215
ref
178
ref
5761
ref
appTerm
5763
def
absTerm
5764
def
1217
ref
appTerm
5765
def
betaConv
nil
178
ref
522
ref
178
ref
1215
ref
5760
ref
absTerm
5766
def
appTerm
5767
def
absTerm
5768
def
appTerm
5769
def
axiom
nil
30
ref
5769
remove
nil
cons
5770
def
cons
5771
def
31
ref
178
ref
5764
ref
appTerm
nil
cons
5772
def
cons
nil
cons
cons
nil
cons
cons
5773
def
101
ref
subst
proveHyp
5773
ref
49
ref
subst
5773
remove
121
ref
subst
nil
183
ref
5764
remove
nil
cons
cons
5774
def
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
5763
remove
nil
cons
5775
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5761
remove
nil
cons
cons
5776
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5760
remove
nil
cons
5777
def
cons
nil
cons
nil
cons
cons
69
ref
subst
5766
ref
1217
ref
appTerm
5778
def
betaConv
5768
ref
525
ref
appTerm
5779
def
betaConv
nil
5771
remove
31
ref
5779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
5768
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5767
remove
nil
cons
cons
31
ref
5778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5766
remove
nil
cons
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
5770
remove
cons
78
ref
5772
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
5772
remove
cons
31
ref
5765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5774
remove
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5775
remove
cons
31
ref
5762
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5776
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5777
remove
cons
31
ref
5759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5758
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
815
ref
78
ref
5740
ref
cons
nil
cons
5780
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
817
ref
5741
ref
cons
nil
cons
cons
5781
def
49
ref
subst
5781
remove
121
ref
subst
3711
ref
630
ref
5747
remove
821
remove
appThm
272
ref
1029
ref
subst
5782
def
trans
appThm
402
ref
appThm
673
ref
674
ref
1173
remove
refl
819
ref
appThm
appThm
appThm
675
ref
appThm
appThm
nil
301
ref
467
ref
469
ref
1174
remove
appTerm
appTerm
283
ref
appTerm
nil
cons
cons
645
ref
cons
nil
cons
cons
823
ref
subst
trans
appThm
5749
remove
825
remove
appThm
appThm
nil
163
ref
5755
remove
164
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
669
ref
5780
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
837
remove
nil
669
ref
838
remove
839
ref
5740
remove
cons
nil
cons
5783
def
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
5735
ref
cons
5780
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
5744
ref
cons
5741
remove
cons
nil
cons
cons
5784
def
49
ref
subst
5784
remove
121
ref
subst
3711
ref
630
ref
134
ref
387
ref
1403
ref
assume
5785
def
appThm
402
ref
appThm
820
ref
trans
5786
def
appThm
871
remove
appThm
3189
remove
156
ref
subst
trans
appThm
402
ref
appThm
673
ref
674
ref
2549
ref
5785
ref
appThm
401
ref
appThm
appThm
appThm
675
ref
appThm
appThm
nil
301
ref
467
ref
469
remove
1156
ref
164
ref
appTerm
170
ref
appTerm
appTerm
appTerm
283
ref
appTerm
nil
cons
cons
645
remove
cons
nil
cons
cons
823
ref
subst
trans
appThm
673
ref
630
ref
5786
remove
appThm
402
remove
appThm
673
ref
674
remove
5785
ref
appThm
appThm
675
ref
appThm
appThm
824
remove
trans
appThm
472
ref
refl
appThm
appThm
nil
163
ref
2276
ref
472
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
5745
ref
5780
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
1403
remove
appTerm
5787
def
betaConv
833
ref
nil
834
ref
31
ref
5787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
5744
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
5745
ref
78
ref
5735
remove
cons
5783
remove
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5730
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
13
ref
2502
ref
170
ref
appTerm
5788
def
appTerm
3395
ref
525
ref
appTerm
5789
def
appTerm
5790
def
absTerm
5791
def
appTerm
5792
def
absTerm
5793
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5792
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5791
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5790
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
2502
ref
refl
5794
def
411
ref
2472
ref
appTerm
assume
sym
2473
remove
assume
sym
deductAntisym
2541
ref
eqMp
5795
def
appThm
nil
479
ref
4482
remove
cons
5341
ref
cons
nil
cons
cons
3081
remove
subst
trans
appThm
5789
ref
refl
5796
def
appThm
sym
2482
ref
163
ref
13
ref
1474
ref
445
ref
appTerm
appTerm
412
ref
appTerm
absTerm
5797
def
170
ref
appTerm
5798
def
betaConv
442
ref
178
ref
5797
ref
appTerm
5799
def
absTerm
5800
def
445
ref
appTerm
5801
def
betaConv
nil
178
ref
5800
ref
appTerm
5802
def
axiom
nil
30
ref
5802
remove
nil
cons
cons
31
ref
5801
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5800
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5799
remove
nil
cons
cons
31
ref
5798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5797
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2056
ref
4960
remove
subst
nil
30
ref
1981
remove
164
ref
appTerm
5803
def
nil
cons
5804
def
cons
5805
def
31
ref
5789
ref
nil
cons
5806
def
cons
nil
cons
5807
def
cons
nil
cons
cons
5808
def
222
ref
subst
5808
ref
49
ref
subst
5808
remove
121
ref
subst
2541
ref
nil
30
ref
2477
remove
cons
5807
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
387
ref
2468
ref
refl
5809
def
2638
ref
5803
ref
assume
5810
def
appThm
1806
ref
appThm
3500
ref
trans
appThm
nil
2480
ref
nil
cons
cons
5811
def
1183
ref
subst
trans
appThm
401
ref
appThm
appThm
5796
remove
appThm
sym
nil
30
ref
5788
ref
nil
cons
5812
def
cons
5807
remove
cons
nil
cons
cons
5813
def
49
ref
subst
5813
remove
121
ref
subst
13
ref
"_29128"
162
ref
var
5814
def
3365
ref
463
ref
5814
remove
varTerm
appTerm
appTerm
525
ref
appTerm
absTerm
5815
def
170
ref
appTerm
5816
def
appTerm
refl
5815
ref
2458
ref
appTerm
betaConv
appThm
80
ref
5816
remove
betaConv
appThm
4553
remove
refl
appThm
trans
5815
remove
refl
5788
remove
assume
sym
appThm
eqMp
sym
4557
remove
4619
ref
170
ref
appTerm
5817
def
betaConv
4617
remove
nil
30
ref
4620
remove
nil
cons
cons
31
ref
5817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4619
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
4618
remove
nil
cons
cons
31
ref
4556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4554
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5812
remove
cons
78
ref
5806
ref
cons
nil
cons
5818
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5804
ref
cons
5819
def
5818
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
32
ref
5803
ref
appTerm
5789
ref
appTerm
nil
cons
cons
31
ref
32
ref
5789
ref
appTerm
5803
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
5806
ref
cons
31
ref
5804
ref
cons
nil
cons
5820
def
cons
nil
cons
cons
5821
def
49
ref
subst
5821
remove
121
ref
subst
4964
remove
5230
ref
subst
5789
ref
assume
eqMp
nil
30
ref
1531
ref
4002
ref
528
ref
3682
remove
4005
ref
appTerm
5822
def
appTerm
5823
def
absTerm
5824
def
appTerm
5825
def
nil
cons
cons
5820
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
5824
ref
4005
ref
appTerm
5826
def
appTerm
5803
ref
appTerm
5827
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
5827
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5826
ref
nil
cons
5828
def
cons
5820
ref
cons
nil
cons
cons
5829
def
49
ref
subst
5829
remove
121
ref
subst
5826
ref
betaConv
5826
remove
assume
eqMp
nil
30
ref
5823
ref
nil
cons
5830
def
cons
5820
remove
cons
nil
cons
cons
5831
def
101
ref
subst
proveHyp
5831
ref
49
ref
subst
5831
remove
121
ref
subst
13
ref
"_29130"
162
ref
var
5832
def
242
ref
1956
ref
5832
remove
varTerm
appTerm
appTerm
164
ref
appTerm
absTerm
5833
def
525
ref
appTerm
5834
def
appTerm
refl
5833
ref
5822
ref
appTerm
betaConv
appThm
80
ref
5834
remove
betaConv
appThm
242
ref
1956
remove
5822
remove
appTerm
appTerm
164
ref
appTerm
refl
appThm
trans
5833
remove
refl
5823
remove
assume
appThm
eqMp
sym
nil
5270
remove
3640
ref
523
remove
cons
nil
cons
cons
nil
cons
cons
5280
ref
subst
4828
ref
3710
remove
appThm
5283
ref
appThm
5285
remove
trans
trans
eqMp
eqMp
nil
76
ref
5830
remove
cons
78
ref
5804
ref
cons
nil
cons
5835
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5828
remove
cons
5835
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
5824
ref
1909
ref
appTerm
appTerm
5803
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5825
remove
appTerm
5803
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5824
remove
nil
cons
cons
5835
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
5806
remove
cons
5835
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
5836
def
trans
trans
eqMp
5837
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5793
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
13
ref
5803
ref
appTerm
5838
def
5789
ref
appTerm
5839
def
absTerm
5840
def
appTerm
5841
def
absTerm
5842
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
5841
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
5840
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
5839
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
5836
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
5842
remove
appTerm
thm
257
ref
163
ref
257
ref
1939
ref
2281
ref
refl
1504
ref
10
ref
10
ref
"Probability.Random.random"
typeOp
nil
opType
5843
def
2
ref
cons
opType
5844
def
2
ref
cons
opType
5845
def
constTerm
5846
def
refl
5847
def
"r"
5843
ref
var
5848
def
387
ref
5848
ref
242
ref
"Number.Natural.Uniform.random"
const
10
ref
162
ref
10
ref
5843
ref
180
ref
cons
opType
5849
def
nil
cons
cons
opType
5850
def
constTerm
170
ref
appTerm
5851
def
5848
ref
varTerm
5852
def
appTerm
appTerm
5853
def
"w"
162
ref
var
5854
def
"Number.Natural.Uniform.random.loop"
const
10
ref
162
ref
5850
remove
nil
cons
cons
opType
constTerm
5855
def
170
ref
appTerm
5856
def
5854
ref
varTerm
5857
def
appTerm
5858
def
5852
ref
appTerm
5859
def
absTerm
463
ref
531
ref
170
ref
appTerm
5860
def
283
ref
appTerm
appTerm
5861
def
appTerm
5862
def
appTerm
absTerm
5863
def
5852
ref
appTerm
5864
def
betaConv
163
ref
27
ref
5845
remove
constTerm
5865
def
5863
ref
appTerm
5866
def
absTerm
5867
def
170
ref
appTerm
5868
def
betaConv
nil
178
ref
5867
ref
appTerm
5869
def
axiom
nil
30
ref
5869
remove
nil
cons
cons
31
ref
5868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5867
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5866
remove
nil
cons
cons
31
ref
5864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
5843
ref
nil
cons
5870
def
cons
5871
def
nil
cons
5872
def
"P"
5844
ref
var
5873
def
5863
remove
nil
cons
cons
"x"
5843
ref
var
5874
def
5852
ref
nil
cons
cons
nil
cons
5875
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
5876
def
5862
ref
betaConv
trans
appThm
2235
ref
appThm
absThm
appThm
appThm
nil
63
ref
2281
ref
5846
ref
5848
ref
242
ref
5856
remove
5861
ref
appTerm
5852
ref
appTerm
appTerm
1941
ref
appTerm
absTerm
appTerm
appTerm
5877
def
nil
cons
5878
def
cons
nil
cons
nil
cons
cons
69
ref
subst
3819
ref
170
ref
appTerm
5879
def
betaConv
3822
ref
nil
3823
ref
31
ref
5879
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
3824
ref
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
19
ref
412
ref
appTerm
1531
ref
2581
ref
411
ref
245
ref
2588
ref
appTerm
appTerm
absTerm
5880
def
appTerm
5881
def
appTerm
nil
cons
5882
def
cons
31
ref
5878
ref
cons
nil
cons
5883
def
cons
nil
cons
cons
5884
def
101
ref
subst
proveHyp
5884
ref
49
ref
subst
5884
remove
121
ref
subst
nil
183
ref
442
ref
32
ref
5880
ref
445
ref
appTerm
5885
def
appTerm
5877
ref
appTerm
5886
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
5886
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5885
ref
nil
cons
5887
def
cons
5883
ref
cons
nil
cons
cons
5888
def
49
ref
subst
5888
remove
121
ref
subst
5885
ref
betaConv
5885
remove
assume
eqMp
nil
30
ref
411
ref
635
ref
appTerm
5889
def
nil
cons
5890
def
cons
5883
ref
cons
nil
cons
cons
5891
def
101
ref
subst
proveHyp
5891
ref
49
ref
subst
5891
remove
121
ref
subst
13
ref
"_29298"
162
ref
var
5892
def
32
ref
2219
ref
5892
remove
varTerm
5893
def
appTerm
appTerm
5846
ref
5848
ref
242
ref
5855
ref
5893
ref
appTerm
463
ref
531
ref
5893
remove
appTerm
283
ref
appTerm
appTerm
appTerm
5852
ref
appTerm
appTerm
1941
ref
appTerm
absTerm
appTerm
appTerm
absTerm
5894
def
170
ref
appTerm
5895
def
appTerm
refl
5896
def
5894
ref
635
ref
appTerm
betaConv
appThm
80
ref
5895
remove
betaConv
appThm
5897
def
32
ref
2219
ref
635
ref
appTerm
appTerm
5898
def
5846
ref
5848
ref
242
ref
5855
ref
635
ref
appTerm
5899
def
463
ref
531
ref
635
ref
appTerm
283
ref
appTerm
appTerm
5900
def
appTerm
5901
def
5852
ref
appTerm
appTerm
1941
ref
appTerm
absTerm
appTerm
appTerm
refl
appThm
trans
5894
remove
refl
5902
def
5889
remove
assume
appThm
eqMp
sym
5898
remove
refl
5847
ref
5848
ref
387
ref
nil
5854
ref
5900
ref
nil
cons
cons
163
ref
635
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5848
ref
242
ref
5859
remove
appTerm
"select"
const
5903
def
10
ref
10
ref
10
ref
"Data.Pair.*"
typeOp
5904
def
5843
ref
5870
ref
cons
opType
5905
def
180
remove
cons
opType
5906
def
2
ref
cons
opType
5907
def
5906
ref
nil
cons
5908
def
cons
opType
constTerm
5909
def
"f"
5906
ref
var
5910
def
5865
ref
"r1"
5843
ref
var
5911
def
5865
ref
"r2"
5843
ref
var
5912
def
242
ref
5910
ref
varTerm
"Data.Pair.,"
const
5913
def
10
ref
5843
ref
10
ref
5843
ref
5905
ref
nil
cons
cons
opType
5914
def
nil
cons
cons
opType
constTerm
5915
def
5911
ref
varTerm
5916
def
appTerm
5912
ref
varTerm
5917
def
appTerm
5918
def
appTerm
appTerm
5919
def
4
ref
442
ref
294
ref
447
ref
appTerm
445
ref
appTerm
5858
ref
5917
ref
appTerm
appTerm
absTerm
332
ref
appTerm
absTerm
"Probability.Random.bits"
const
10
ref
162
ref
10
ref
5843
ref
102
remove
cons
opType
nil
cons
cons
opType
constTerm
5920
def
5857
ref
appTerm
5916
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
"Probability.Random.split"
const
5914
remove
constTerm
5852
ref
appTerm
5921
def
appTerm
appTerm
absTerm
5922
def
5852
ref
appTerm
5923
def
betaConv
5854
ref
5865
ref
5922
ref
appTerm
5924
def
absTerm
5925
def
5857
ref
appTerm
5926
def
betaConv
163
ref
178
ref
5925
ref
appTerm
5927
def
absTerm
5928
def
170
ref
appTerm
5929
def
betaConv
nil
178
ref
5928
ref
appTerm
5930
def
axiom
nil
30
ref
5930
remove
nil
cons
cons
31
ref
5929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5928
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5927
remove
nil
cons
cons
31
ref
5926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5925
remove
nil
cons
cons
184
ref
5857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5924
remove
nil
cons
cons
31
ref
5923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
5922
remove
nil
cons
cons
5875
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
2235
ref
appThm
absThm
appThm
appThm
sym
200
ref
nil
3273
ref
2338
ref
cons
nil
cons
cons
3537
ref
subst
appThm
5847
remove
5848
ref
387
ref
5909
ref
refl
5910
ref
5865
ref
refl
5931
def
5911
ref
5931
ref
5912
ref
5919
ref
refl
4
ref
"m'"
162
ref
var
5932
def
294
ref
407
ref
5932
remove
varTerm
5933
def
appTerm
635
remove
appTerm
appTerm
5933
remove
appTerm
5901
remove
5917
ref
appTerm
appTerm
absTerm
5934
def
332
ref
appTerm
absTerm
5920
ref
5900
remove
appTerm
5916
ref
appTerm
5935
def
appTerm
betaConv
5934
remove
331
ref
5935
remove
appTerm
5936
def
appTerm
betaConv
trans
630
ref
nil
3273
remove
442
ref
5936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3537
remove
subst
3711
ref
1769
ref
5920
ref
refl
865
ref
5602
ref
587
remove
subst
appThm
5937
def
appThm
5916
ref
refl
appThm
appThm
5938
def
appThm
2522
ref
appThm
trans
appThm
5938
remove
appThm
5899
ref
refl
5937
remove
appThm
5917
ref
refl
appThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
5921
ref
refl
appThm
appThm
2235
ref
appThm
absThm
appThm
appThm
sym
nil
30
ref
3365
ref
1941
ref
appTerm
445
ref
appTerm
5939
def
nil
cons
5940
def
cons
5941
def
31
ref
5846
ref
5848
ref
242
ref
5909
ref
5910
remove
5865
ref
5911
ref
5865
ref
5912
ref
5919
remove
294
ref
3365
ref
331
ref
5920
ref
2895
ref
appTerm
5942
def
5916
ref
appTerm
5943
def
appTerm
5944
def
appTerm
445
ref
appTerm
appTerm
5944
remove
appTerm
5945
def
5899
remove
2895
ref
appTerm
5946
def
5917
ref
appTerm
5947
def
appTerm
5948
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5949
def
5921
ref
appTerm
appTerm
1941
ref
appTerm
absTerm
5950
def
appTerm
5951
def
nil
cons
5952
def
cons
nil
cons
5953
def
cons
nil
cons
cons
5954
def
49
ref
subst
5954
remove
121
ref
subst
4
ref
32
ref
242
ref
943
ref
appTerm
5955
def
2895
ref
appTerm
appTerm
5846
ref
5848
ref
497
ref
5942
ref
5852
ref
appTerm
appTerm
5956
def
16
ref
appTerm
absTerm
appTerm
appTerm
absTerm
5957
def
504
ref
1941
ref
appTerm
2895
ref
appTerm
5958
def
appTerm
5959
def
betaConv
163
ref
28
ref
4
ref
32
ref
5955
remove
170
ref
appTerm
appTerm
5846
ref
5848
ref
497
ref
5920
remove
170
ref
appTerm
5852
ref
appTerm
appTerm
16
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5960
def
2895
ref
appTerm
5961
def
betaConv
nil
178
ref
5960
ref
appTerm
5962
def
axiom
nil
30
ref
5962
remove
nil
cons
cons
31
ref
5961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5960
remove
nil
cons
cons
184
ref
3020
ref
cons
nil
cons
5963
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
28
ref
5957
ref
appTerm
nil
cons
cons
31
ref
5959
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
5957
remove
nil
cons
cons
105
ref
5958
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
32
ref
242
ref
942
ref
5958
ref
appTerm
appTerm
2895
ref
appTerm
appTerm
5846
ref
5848
ref
5956
remove
5958
ref
appTerm
absTerm
5964
def
appTerm
5965
def
appTerm
nil
cons
cons
5953
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
387
ref
nil
522
ref
3020
remove
cons
2293
remove
cons
nil
cons
cons
5966
def
2212
ref
subst
appThm
5677
remove
appThm
nil
5963
remove
nil
cons
cons
425
ref
subst
trans
appThm
5965
ref
refl
appThm
nil
63
ref
5965
ref
nil
cons
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
5951
ref
refl
appThm
sym
nil
5873
ref
5911
ref
32
ref
5964
ref
5916
ref
appTerm
5967
def
appTerm
5951
ref
appTerm
5968
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5872
ref
137
ref
cons
5969
def
561
ref
subst
5970
def
subst
5911
ref
nil
63
ref
5968
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5967
ref
nil
cons
5971
def
cons
5953
ref
cons
nil
cons
cons
5972
def
49
ref
subst
5972
remove
121
ref
subst
5967
ref
betaConv
5967
remove
assume
eqMp
nil
30
ref
497
ref
5943
remove
appTerm
5958
remove
appTerm
5973
def
nil
cons
5974
def
cons
5953
ref
cons
nil
cons
cons
5975
def
101
ref
subst
proveHyp
5975
ref
49
ref
subst
5975
remove
121
ref
subst
5912
ref
5846
ref
5848
ref
9
ref
10
ref
5905
ref
10
ref
5905
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
5921
remove
appTerm
5918
ref
appTerm
5976
def
absTerm
5977
def
appTerm
5978
def
absTerm
5979
def
5917
ref
appTerm
5980
def
betaConv
5911
ref
5865
ref
5979
ref
appTerm
5981
def
absTerm
5982
def
5916
ref
appTerm
5983
def
betaConv
nil
5865
ref
5982
ref
appTerm
5984
def
axiom
nil
30
ref
5984
remove
nil
cons
cons
31
ref
5983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
5982
remove
nil
cons
cons
5874
ref
5916
ref
nil
cons
5985
def
cons
nil
cons
5986
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5981
remove
nil
cons
cons
31
ref
5980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
5979
remove
nil
cons
cons
5874
ref
5917
ref
nil
cons
5987
def
cons
nil
cons
5988
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5978
ref
nil
cons
cons
5953
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
5873
ref
5848
ref
32
ref
5977
ref
5852
ref
appTerm
5989
def
appTerm
5951
ref
appTerm
5990
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5970
ref
subst
5848
ref
nil
63
ref
5990
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
5989
ref
nil
cons
5991
def
cons
5953
ref
cons
nil
cons
cons
5992
def
49
ref
subst
5992
remove
121
ref
subst
5989
ref
betaConv
5989
remove
assume
eqMp
nil
30
ref
5976
ref
nil
cons
5993
def
cons
5953
remove
cons
nil
cons
cons
5994
def
101
ref
subst
proveHyp
5994
ref
49
ref
subst
5994
remove
121
ref
subst
5950
ref
5852
ref
appTerm
betaConv
sym
387
ref
5949
remove
refl
5976
remove
assume
appThm
5912
ref
242
ref
5909
remove
"_29311"
5906
ref
var
5995
def
5865
ref
5911
ref
5865
ref
5912
ref
242
ref
5995
remove
varTerm
5918
ref
appTerm
appTerm
5948
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5996
def
appTerm
5997
def
5918
ref
appTerm
appTerm
5948
ref
appTerm
absTerm
5998
def
5917
ref
appTerm
5999
def
betaConv
5911
ref
5865
ref
5998
ref
appTerm
6000
def
absTerm
6001
def
5916
ref
appTerm
6002
def
betaConv
5996
ref
5997
remove
appTerm
6003
def
betaConv
5996
ref
"_29309"
5905
ref
var
6004
def
294
ref
3365
ref
331
ref
5942
ref
5903
ref
10
ref
10
ref
10
ref
5905
remove
5870
ref
cons
opType
6005
def
2
ref
cons
opType
6005
ref
nil
cons
cons
opType
constTerm
6006
def
"fn"
6005
remove
var
6007
def
5865
ref
"a"
5843
ref
var
6008
def
5865
ref
"b"
5843
ref
var
6009
def
9
ref
10
ref
5843
ref
5844
remove
nil
cons
cons
opType
constTerm
6007
ref
varTerm
5915
remove
6008
ref
varTerm
6010
def
appTerm
6009
ref
varTerm
6011
def
appTerm
appTerm
appTerm
6012
def
6010
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6013
def
6004
remove
varTerm
6014
def
appTerm
appTerm
appTerm
6015
def
appTerm
445
ref
appTerm
appTerm
6015
remove
appTerm
5946
ref
6006
remove
6007
remove
5865
ref
6008
ref
5865
ref
6009
ref
6012
remove
6011
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6016
def
6014
remove
appTerm
appTerm
appTerm
absTerm
6017
def
appTerm
betaConv
sym
nil
5873
ref
5911
ref
5865
ref
5912
ref
242
ref
6017
ref
5918
ref
appTerm
6018
def
appTerm
5948
remove
appTerm
6019
def
absTerm
6020
def
appTerm
6021
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5970
ref
subst
5911
remove
nil
63
ref
6021
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
5873
ref
6020
remove
nil
cons
cons
nil
cons
nil
cons
cons
5970
remove
subst
5912
remove
nil
63
ref
6019
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
6018
remove
betaConv
242
ref
"_29306"
5843
ref
var
6022
def
5945
remove
5946
ref
6022
ref
varTerm
appTerm
6023
def
appTerm
absTerm
5917
remove
appTerm
6024
def
appTerm
refl
6022
ref
294
ref
3365
ref
331
ref
5942
ref
6013
remove
5918
ref
appTerm
6025
def
appTerm
appTerm
6026
def
appTerm
445
ref
appTerm
appTerm
6026
remove
appTerm
6027
def
6023
ref
appTerm
absTerm
6028
def
6016
remove
5918
remove
appTerm
6029
def
appTerm
betaConv
appThm
387
ref
6024
remove
betaConv
appThm
6027
remove
5946
remove
6029
remove
appTerm
appTerm
refl
appThm
trans
9
remove
10
ref
5849
ref
10
ref
5849
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
6030
def
"_29305"
5843
remove
var
6031
def
6022
remove
294
ref
3365
ref
331
ref
5942
remove
6031
remove
varTerm
appTerm
appTerm
6032
def
appTerm
445
ref
appTerm
appTerm
6032
remove
appTerm
6023
remove
appTerm
absTerm
absTerm
6033
def
5916
remove
appTerm
6034
def
appTerm
refl
6033
ref
6025
remove
appTerm
betaConv
appThm
6030
ref
refl
6034
remove
betaConv
appThm
6028
remove
refl
appThm
trans
6033
remove
refl
nil
6009
remove
5987
remove
cons
6008
remove
5985
remove
cons
nil
cons
cons
nil
cons
cons
6035
def
5871
ref
"B"
5870
remove
cons
nil
cons
cons
137
ref
cons
6036
def
357
ref
266
ref
5903
ref
10
ref
10
ref
10
ref
5904
remove
1831
remove
opType
6037
def
139
ref
cons
opType
6038
def
2
ref
cons
opType
6039
def
6038
ref
nil
cons
6040
def
cons
opType
constTerm
"fn"
6038
remove
var
6041
def
111
ref
"a"
108
ref
var
6042
def
370
ref
357
ref
266
ref
6041
ref
varTerm
5913
remove
10
ref
108
ref
10
ref
356
ref
6037
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
6042
ref
varTerm
6043
def
appTerm
366
ref
appTerm
6044
def
appTerm
appTerm
6045
def
6043
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6046
def
appTerm
6047
def
6044
ref
appTerm
appTerm
6043
ref
appTerm
absTerm
6048
def
366
ref
appTerm
6049
def
betaConv
6042
ref
370
ref
6048
ref
appTerm
6050
def
absTerm
6051
def
6043
ref
appTerm
6052
def
betaConv
6046
ref
6047
remove
appTerm
6053
def
betaConv
1504
ref
10
ref
6039
ref
2
ref
cons
opType
constTerm
6054
def
refl
6041
remove
111
ref
refl
6055
def
6042
ref
370
ref
refl
6056
def
357
ref
6045
remove
refl
6042
ref
357
ref
6043
ref
absTerm
6057
def
absTerm
6058
def
6043
ref
appTerm
betaConv
366
ref
refl
6059
def
appThm
6057
remove
366
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
139
ref
cons
nil
cons
"_1343"
10
ref
108
ref
10
ref
356
ref
139
ref
cons
opType
nil
cons
cons
opType
var
6058
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
10
ref
108
ref
1934
remove
cons
opType
6060
def
var
6061
def
6042
ref
357
ref
"_1343"
6060
ref
var
varTerm
6043
ref
appTerm
366
ref
appTerm
6062
def
absTerm
6063
def
absTerm
6064
def
nil
cons
cons
nil
cons
nil
cons
cons
6061
ref
1504
ref
10
ref
10
ref
10
ref
6037
ref
1917
remove
cons
opType
6065
def
2
ref
cons
opType
6066
def
2
ref
cons
opType
6067
def
constTerm
6068
def
"fn"
6065
ref
var
6069
def
111
ref
6042
ref
370
ref
357
ref
1916
remove
6069
ref
varTerm
6070
def
6044
ref
appTerm
appTerm
6071
def
6061
ref
varTerm
6072
def
6043
ref
appTerm
366
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6073
def
6072
ref
appTerm
6074
def
betaConv
nil
27
ref
10
ref
10
ref
6060
ref
2
ref
cons
opType
6075
def
2
ref
cons
opType
constTerm
6076
def
6073
ref
appTerm
6077
def
axiom
nil
30
ref
6077
remove
nil
cons
cons
31
ref
6074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
6060
ref
nil
cons
cons
nil
cons
6078
def
"P"
6075
remove
var
6079
def
6073
remove
nil
cons
cons
"x"
6060
ref
var
6072
ref
nil
cons
cons
nil
cons
6080
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
nil
30
ref
6068
ref
6069
ref
111
ref
6042
ref
370
ref
357
ref
6071
ref
6064
remove
6043
ref
appTerm
6081
def
366
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6082
def
absTerm
6083
def
appTerm
6084
def
nil
cons
cons
31
ref
6068
remove
6069
ref
111
ref
6042
ref
370
ref
357
ref
6071
ref
6062
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6085
def
appTerm
6086
def
nil
cons
6087
def
cons
nil
cons
6088
def
cons
nil
cons
cons
101
ref
subst
nil
"P"
6066
remove
var
6089
def
6069
ref
32
ref
6083
ref
6070
ref
appTerm
6090
def
appTerm
6086
ref
appTerm
6091
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
6065
ref
nil
cons
cons
nil
cons
6092
def
137
ref
cons
561
ref
subst
subst
6069
remove
nil
63
ref
6091
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6090
ref
nil
cons
6093
def
cons
6088
ref
cons
nil
cons
cons
6094
def
49
ref
subst
6094
remove
121
ref
subst
6090
ref
betaConv
6090
remove
assume
eqMp
nil
30
ref
6082
ref
nil
cons
6095
def
cons
6088
remove
cons
nil
cons
cons
6096
def
101
ref
subst
proveHyp
6096
ref
49
ref
subst
6096
remove
121
ref
subst
6085
ref
6070
ref
appTerm
betaConv
sym
6055
ref
6042
ref
6056
ref
357
ref
6071
remove
refl
6081
remove
betaConv
6059
ref
appThm
6063
remove
366
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
6082
remove
assume
eqMp
eqMp
6092
ref
6089
ref
6085
remove
nil
cons
cons
"x"
6065
remove
var
6097
def
6070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
eqMp
nil
76
ref
6095
remove
cons
78
ref
6087
remove
cons
nil
cons
6098
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
6093
remove
cons
6098
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
27
ref
6067
remove
constTerm
6097
ref
32
ref
6083
ref
6097
remove
varTerm
appTerm
appTerm
6086
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
6084
remove
appTerm
6086
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
6092
remove
6089
remove
6083
remove
nil
cons
cons
6098
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
proveHyp
6099
def
subst
eqMp
nil
30
ref
6054
remove
6046
ref
appTerm
nil
cons
cons
31
ref
6053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
6040
remove
cons
nil
cons
"p"
6039
remove
var
6046
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
30
ref
1505
ref
124
ref
appTerm
6100
def
nil
cons
6101
def
cons
6102
def
31
ref
13
ref
124
ref
5903
ref
10
ref
109
ref
139
remove
cons
opType
constTerm
124
ref
appTerm
appTerm
6103
def
appTerm
6104
def
55
ref
appTerm
6105
def
nil
cons
6106
def
cons
nil
cons
6107
def
cons
nil
cons
cons
6108
def
49
ref
subst
6108
remove
121
ref
subst
1505
ref
refl
nil
"t"
109
remove
var
1716
ref
cons
nil
cons
nil
cons
cons
319
remove
1829
ref
cons
137
ref
cons
"t"
1832
remove
var
6109
def
1888
remove
116
ref
6109
remove
varTerm
6110
def
117
ref
appTerm
absTerm
appTerm
6110
ref
appTerm
absTerm
6111
def
6110
ref
appTerm
6112
def
betaConv
nil
1845
remove
6111
ref
appTerm
6113
def
axiom
nil
30
ref
6113
remove
nil
cons
cons
31
ref
6112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1847
remove
1848
remove
6111
remove
nil
cons
cons
1849
remove
6110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
63
ref
6101
ref
cons
nil
cons
nil
cons
cons
6114
def
69
ref
subst
6100
ref
assume
eqMp
trans
sym
68
ref
eqMp
nil
30
ref
1505
ref
116
ref
1508
ref
absTerm
appTerm
nil
cons
cons
6107
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
112
ref
1716
remove
cons
78
ref
6106
remove
cons
nil
cons
6115
def
cons
nil
cons
cons
nil
1519
remove
31
ref
32
ref
1505
remove
116
ref
118
ref
absTerm
6116
def
appTerm
6117
def
appTerm
83
ref
appTerm
6118
def
nil
cons
6119
def
cons
nil
cons
6120
def
cons
nil
cons
cons
6121
def
222
ref
subst
6121
ref
49
ref
subst
6121
remove
121
ref
subst
nil
112
ref
116
ref
32
ref
6116
ref
117
ref
appTerm
6122
def
appTerm
83
remove
appTerm
6123
def
absTerm
6124
def
nil
cons
cons
nil
cons
nil
cons
cons
561
ref
subst
116
ref
nil
63
ref
6123
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6122
ref
nil
cons
6125
def
cons
1521
ref
cons
nil
cons
cons
6126
def
49
ref
subst
6126
remove
121
ref
subst
6122
ref
betaConv
6127
def
6122
remove
assume
eqMp
1524
remove
proveHyp
1527
remove
eqMp
eqMp
nil
76
ref
6125
remove
cons
1529
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
111
ref
6124
remove
appTerm
nil
cons
cons
6120
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
6116
remove
nil
cons
cons
6128
def
1529
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
nil
1528
remove
78
ref
6119
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1516
remove
6118
ref
appTerm
nil
cons
cons
31
ref
32
ref
6118
ref
appTerm
1515
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
6119
ref
cons
31
ref
1518
ref
cons
nil
cons
cons
nil
cons
cons
6129
def
49
ref
subst
6129
remove
121
ref
subst
nil
1526
remove
nil
cons
nil
cons
cons
561
ref
subst
116
ref
nil
63
ref
1513
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
1523
ref
49
ref
subst
1523
remove
121
ref
subst
6127
remove
sym
118
remove
assume
eqMp
320
ref
6128
remove
799
ref
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
6117
remove
nil
cons
cons
1521
remove
cons
nil
cons
cons
101
ref
subst
6118
remove
assume
eqMp
proveHyp
eqMp
nil
76
ref
119
remove
cons
1529
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
6119
remove
cons
78
ref
1518
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
112
ref
116
ref
1509
ref
6105
ref
appTerm
6130
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
561
ref
subst
116
ref
nil
63
ref
6130
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
1508
remove
nil
cons
6131
def
cons
6132
def
6107
remove
cons
nil
cons
cons
6133
def
49
ref
subst
6133
remove
121
ref
subst
nil
63
ref
6103
ref
nil
cons
6134
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
6132
remove
31
ref
6134
remove
cons
6135
def
nil
cons
cons
nil
cons
cons
101
ref
subst
116
ref
1509
remove
6103
ref
appTerm
absTerm
6136
def
117
ref
appTerm
6137
def
betaConv
123
remove
111
ref
6136
ref
appTerm
6138
def
absTerm
6139
def
124
remove
appTerm
6140
def
betaConv
nil
1712
remove
6139
ref
appTerm
6141
def
axiom
nil
30
ref
6141
remove
nil
cons
cons
31
ref
6140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
1714
remove
1715
remove
6139
remove
nil
cons
cons
1717
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6138
remove
nil
cons
cons
31
ref
6137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
6136
remove
nil
cons
cons
799
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6131
remove
cons
6115
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6101
ref
cons
6115
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
32
ref
6100
ref
appTerm
6142
def
6105
remove
appTerm
nil
cons
cons
31
ref
13
ref
6142
ref
6103
remove
appTerm
appTerm
6143
def
6142
ref
55
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"q'"
1
ref
var
6144
def
270
ref
cons
nil
cons
nil
cons
cons
6100
ref
refl
nil
30
ref
13
ref
6100
ref
appTerm
6145
def
6100
remove
appTerm
nil
cons
cons
31
ref
32
ref
6142
ref
6104
remove
6144
ref
varTerm
6146
def
appTerm
6147
def
appTerm
appTerm
6143
ref
6142
remove
6146
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"p'"
1
ref
var
6148
def
6101
remove
cons
nil
cons
nil
cons
cons
6144
ref
32
ref
6145
remove
6148
ref
varTerm
6149
def
appTerm
appTerm
32
ref
32
ref
6149
ref
appTerm
6150
def
6147
remove
appTerm
appTerm
6143
remove
6150
ref
6146
ref
appTerm
6151
def
appTerm
appTerm
appTerm
absTerm
6152
def
6146
ref
appTerm
6153
def
betaConv
6148
ref
150
ref
6152
ref
appTerm
6154
def
absTerm
6155
def
6149
ref
appTerm
6156
def
betaConv
nil
6135
remove
6102
remove
nil
cons
cons
nil
cons
cons
nil
152
ref
6148
ref
150
ref
6144
ref
32
ref
201
remove
6149
ref
appTerm
6157
def
appTerm
32
ref
6150
ref
5594
remove
6146
ref
appTerm
6158
def
appTerm
6159
def
appTerm
37
remove
6151
ref
appTerm
6160
def
appTerm
6161
def
appTerm
6162
def
absTerm
6163
def
appTerm
6164
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
6148
remove
nil
63
ref
6164
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
6163
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
6144
remove
nil
63
ref
6162
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6157
remove
nil
cons
6165
def
cons
6166
def
31
ref
6161
remove
nil
cons
6167
def
cons
nil
cons
cons
nil
cons
cons
6168
def
49
ref
subst
6168
remove
121
ref
subst
nil
30
ref
6159
ref
nil
cons
6169
def
cons
31
ref
6160
remove
nil
cons
6170
def
cons
nil
cons
cons
nil
cons
cons
6171
def
49
ref
subst
6171
remove
121
ref
subst
nil
211
remove
31
ref
6151
ref
nil
cons
6172
def
cons
nil
cons
cons
nil
cons
cons
6173
def
222
ref
subst
6173
ref
49
ref
subst
6173
remove
121
ref
subst
nil
30
ref
6149
ref
nil
cons
6174
def
cons
6175
def
31
ref
6146
ref
nil
cons
6176
def
cons
nil
cons
6177
def
cons
nil
cons
cons
6178
def
49
ref
subst
6178
ref
121
ref
subst
nil
6166
ref
31
ref
34
remove
6149
remove
appTerm
6179
def
nil
cons
6180
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
30
ref
64
remove
cons
31
ref
6174
ref
cons
nil
cons
cons
nil
cons
cons
6181
def
1599
ref
subst
eqMp
6182
def
nil
30
ref
6180
ref
cons
6183
def
6177
ref
cons
nil
cons
cons
6184
def
101
ref
subst
proveHyp
nil
6166
remove
31
ref
6150
remove
33
remove
appTerm
6185
def
nil
cons
6186
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
6181
ref
nil
1594
remove
214
remove
cons
nil
cons
cons
6187
def
49
ref
subst
6187
remove
121
ref
subst
216
remove
eqMp
nil
1597
remove
219
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
6188
def
subst
eqMp
6189
def
nil
30
ref
6186
ref
cons
6190
def
31
ref
32
ref
6179
ref
appTerm
6191
def
6146
ref
appTerm
nil
cons
6192
def
cons
nil
cons
cons
nil
cons
cons
6193
def
101
ref
subst
proveHyp
6193
ref
49
ref
subst
6193
remove
121
ref
subst
6184
ref
49
ref
subst
6184
remove
121
ref
subst
nil
6175
ref
217
remove
cons
nil
cons
cons
101
ref
subst
6185
remove
assume
eqMp
6194
def
6181
remove
101
ref
subst
6179
remove
assume
eqMp
6195
def
6194
remove
proveHyp
proveHyp
nil
6175
remove
31
ref
6158
remove
nil
cons
6196
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
6159
remove
assume
eqMp
6197
def
nil
30
ref
6196
remove
cons
6198
def
31
ref
212
ref
6146
ref
appTerm
6199
def
nil
cons
6200
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
204
ref
6177
ref
cons
nil
cons
cons
6201
def
1599
remove
subst
eqMp
6202
def
nil
30
ref
6200
ref
cons
6203
def
6177
remove
cons
nil
cons
cons
6204
def
101
ref
subst
proveHyp
6197
remove
nil
6198
remove
31
ref
32
ref
6146
ref
appTerm
35
ref
appTerm
6205
def
nil
cons
6206
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
6201
ref
6188
remove
subst
eqMp
6207
def
nil
30
ref
6206
ref
cons
6208
def
31
ref
32
ref
6199
ref
appTerm
6209
def
6146
remove
appTerm
nil
cons
6210
def
cons
nil
cons
cons
nil
cons
cons
6211
def
101
ref
subst
proveHyp
6211
ref
49
ref
subst
6211
remove
121
ref
subst
6204
ref
49
ref
subst
6204
remove
121
ref
subst
100
remove
6201
remove
101
ref
subst
6199
remove
assume
eqMp
proveHyp
eqMp
nil
76
ref
6200
remove
cons
6212
def
78
ref
6176
ref
cons
nil
cons
6213
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
6206
remove
cons
6214
def
78
ref
6210
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
76
ref
6180
remove
cons
6215
def
6213
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
6186
remove
cons
6216
def
78
ref
6192
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6174
ref
cons
6213
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
218
remove
78
ref
6172
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
807
remove
6151
ref
appTerm
nil
cons
cons
31
ref
32
ref
6151
ref
appTerm
36
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
6172
ref
cons
1595
remove
cons
nil
cons
cons
6217
def
49
ref
subst
6217
remove
121
ref
subst
49
ref
121
ref
6182
remove
nil
6183
remove
205
ref
cons
nil
cons
cons
6218
def
101
ref
subst
proveHyp
6189
remove
nil
6190
remove
31
ref
6191
remove
35
ref
appTerm
nil
cons
6219
def
cons
nil
cons
cons
nil
cons
cons
6220
def
101
ref
subst
proveHyp
6220
ref
49
ref
subst
6220
remove
121
ref
subst
6218
ref
49
ref
subst
6218
remove
121
ref
subst
6195
remove
6202
remove
nil
6203
remove
205
ref
cons
nil
cons
cons
6221
def
101
ref
subst
proveHyp
6207
remove
nil
6208
remove
31
ref
6209
remove
35
ref
appTerm
nil
cons
6222
def
cons
nil
cons
cons
nil
cons
cons
6223
def
101
ref
subst
proveHyp
6223
ref
49
ref
subst
6223
remove
121
ref
subst
6221
ref
49
ref
subst
6221
remove
121
ref
subst
6178
remove
101
ref
subst
6151
remove
assume
eqMp
nil
30
ref
6176
ref
cons
205
remove
cons
nil
cons
cons
101
ref
subst
6205
remove
assume
eqMp
proveHyp
eqMp
nil
6212
remove
79
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
6214
remove
78
ref
6222
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
6215
remove
79
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
6216
remove
78
ref
6219
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
93
remove
deductAntisym
eqMp
eqMp
nil
76
ref
6172
remove
cons
1598
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6169
remove
cons
78
ref
6170
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
76
ref
6165
remove
cons
78
ref
6167
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
30
ref
150
ref
6155
ref
appTerm
nil
cons
cons
31
ref
6156
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
6155
remove
nil
cons
cons
153
ref
6174
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6154
remove
nil
cons
cons
31
ref
6153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
6152
remove
nil
cons
cons
153
ref
6176
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
6114
remove
3092
ref
subst
trans
sym
68
ref
eqMp
6224
def
subst
eqMp
eqMp
nil
30
ref
111
ref
6051
ref
appTerm
nil
cons
cons
31
ref
6052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
6051
remove
nil
cons
cons
116
ref
6043
ref
nil
cons
cons
nil
cons
6225
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6050
remove
nil
cons
cons
31
ref
6049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
380
ref
381
ref
6048
remove
nil
cons
cons
382
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
6035
remove
6036
remove
357
ref
360
ref
5903
remove
10
ref
10
ref
10
ref
6037
remove
361
ref
cons
opType
6226
def
2
ref
cons
opType
6227
def
6226
ref
nil
cons
6228
def
cons
opType
constTerm
"fn"
6226
remove
var
6229
def
111
ref
6042
ref
370
ref
357
ref
360
remove
6229
ref
varTerm
6044
ref
appTerm
appTerm
6230
def
366
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6231
def
appTerm
6232
def
6044
remove
appTerm
appTerm
366
ref
appTerm
absTerm
6233
def
366
ref
appTerm
6234
def
betaConv
6042
ref
370
ref
6233
ref
appTerm
6235
def
absTerm
6236
def
6043
ref
appTerm
6237
def
betaConv
6231
ref
6232
remove
appTerm
6238
def
betaConv
1504
ref
10
ref
6227
ref
2
ref
cons
opType
constTerm
6239
def
refl
6229
remove
6055
remove
6042
ref
6056
remove
357
ref
6230
remove
refl
6042
remove
357
remove
366
ref
absTerm
6240
def
absTerm
6241
def
6043
remove
appTerm
betaConv
6059
remove
appThm
6240
remove
366
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
361
remove
cons
nil
cons
"_1343"
363
remove
var
6241
remove
nil
cons
cons
nil
cons
nil
cons
cons
6099
remove
subst
eqMp
nil
30
ref
6239
remove
6231
ref
appTerm
nil
cons
cons
31
ref
6238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
6228
remove
cons
nil
cons
"p"
6227
remove
var
6231
remove
nil
cons
cons
nil
cons
nil
cons
cons
6224
ref
subst
eqMp
eqMp
nil
30
ref
111
ref
6236
ref
appTerm
nil
cons
cons
31
ref
6237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
6236
remove
nil
cons
cons
6225
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6235
remove
nil
cons
cons
31
ref
6234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
380
remove
381
remove
6233
remove
nil
cons
cons
382
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
5908
remove
cons
nil
cons
6242
def
"P"
5907
ref
var
5996
ref
nil
cons
6243
def
cons
"x"
5906
remove
var
6017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1504
remove
10
ref
5907
ref
2
ref
cons
opType
constTerm
5996
remove
appTerm
nil
cons
cons
31
ref
6003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"p"
5907
remove
var
6243
remove
cons
nil
cons
nil
cons
cons
6242
remove
137
ref
cons
6224
remove
subst
subst
eqMp
eqMp
nil
30
ref
5865
ref
6001
ref
appTerm
nil
cons
cons
31
ref
6002
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
6001
remove
nil
cons
cons
5986
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6000
remove
nil
cons
cons
31
ref
5999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
5998
remove
nil
cons
cons
5988
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
630
ref
3711
ref
1769
ref
5973
remove
assume
appThm
5966
ref
2759
ref
subst
trans
6244
def
appThm
2522
ref
appThm
appThm
6244
remove
appThm
5947
ref
refl
6245
def
appThm
trans
trans
appThm
2235
ref
appThm
sym
5966
remove
5837
ref
subst
sym
nil
5941
remove
31
ref
3365
ref
463
ref
1941
ref
appTerm
appTerm
2895
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
1213
ref
458
remove
cons
1215
ref
1965
ref
cons
nil
cons
cons
nil
cons
cons
5181
ref
subst
eqMp
eqMp
630
remove
3711
ref
242
ref
2456
ref
1941
ref
appTerm
2895
remove
appTerm
appTerm
1941
ref
appTerm
assume
6246
def
appThm
2522
remove
appThm
nil
63
ref
5940
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
5939
remove
assume
eqMp
trans
appThm
6246
remove
appThm
6245
remove
appThm
nil
301
ref
5947
remove
nil
cons
cons
303
ref
1965
remove
cons
nil
cons
cons
nil
cons
cons
823
remove
subst
trans
proveHyp
eqMp
eqMp
5872
ref
5873
ref
5950
remove
nil
cons
cons
5875
remove
cons
nil
cons
cons
1530
ref
subst
proveHyp
eqMp
nil
76
ref
5993
remove
cons
78
ref
5952
remove
cons
nil
cons
6247
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5991
remove
cons
6247
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
5865
ref
5874
ref
32
ref
5977
ref
5874
ref
varTerm
6248
def
appTerm
appTerm
5951
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5978
remove
appTerm
5951
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
ref
5873
ref
5977
remove
nil
cons
cons
6247
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
5974
remove
cons
6247
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5971
remove
cons
6247
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
5865
remove
5874
ref
32
ref
5964
ref
6248
ref
appTerm
appTerm
5951
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5965
remove
appTerm
5951
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
5872
remove
5873
remove
5964
remove
nil
cons
cons
6247
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5940
remove
cons
6247
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
5890
remove
cons
78
ref
5878
ref
cons
nil
cons
6249
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
5887
remove
cons
6249
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
5880
ref
1909
ref
appTerm
appTerm
5877
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
5881
ref
appTerm
5877
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5880
remove
nil
cons
cons
6249
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
817
ref
5883
remove
cons
nil
cons
cons
6250
def
49
ref
subst
6250
remove
121
ref
subst
5896
remove
"_29296"
162
ref
var
6251
def
32
ref
2219
ref
6251
remove
varTerm
6252
def
appTerm
appTerm
5846
ref
5848
ref
242
ref
5855
ref
6252
ref
appTerm
463
ref
531
ref
6252
remove
appTerm
283
ref
appTerm
appTerm
appTerm
5852
ref
appTerm
appTerm
1941
ref
appTerm
absTerm
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
5897
remove
32
ref
2219
ref
164
ref
appTerm
appTerm
5846
ref
5848
ref
242
ref
5855
remove
164
ref
appTerm
463
ref
544
remove
appTerm
appTerm
5852
remove
appTerm
appTerm
1941
ref
appTerm
absTerm
appTerm
6253
def
appTerm
refl
appThm
trans
5902
remove
819
ref
appThm
eqMp
sym
200
ref
2345
remove
appThm
6253
ref
refl
appThm
nil
63
ref
6253
remove
nil
cons
cons
nil
cons
nil
cons
cons
63
ref
13
ref
226
remove
65
ref
appTerm
appTerm
55
ref
appTerm
absTerm
6254
def
65
remove
appTerm
6255
def
betaConv
nil
150
ref
6254
ref
appTerm
6256
def
axiom
nil
30
ref
6256
remove
nil
cons
cons
31
ref
6255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
6254
remove
nil
cons
cons
155
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
669
ref
6249
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
669
ref
78
ref
5881
remove
nil
cons
cons
839
ref
5878
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
76
ref
5882
remove
cons
6249
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
6257
def
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
178
ref
1939
ref
2281
ref
5846
remove
5848
ref
5853
remove
1941
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
257
ref
163
ref
387
ref
4653
remove
673
ref
1285
ref
appThm
6258
def
4650
remove
appThm
trans
appThm
467
ref
283
ref
appTerm
6259
def
1400
ref
appTerm
6260
def
refl
appThm
nil
184
ref
6260
ref
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
242
ref
4667
remove
appTerm
6260
remove
appTerm
absTerm
appTerm
thm
nil
152
ref
31
ref
178
ref
163
ref
13
ref
5553
ref
164
ref
appTerm
170
ref
appTerm
appTerm
19
ref
35
ref
appTerm
413
ref
appTerm
6261
def
appTerm
6262
def
absTerm
6263
def
appTerm
6264
def
absTerm
6265
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
31
ref
nil
63
ref
6264
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6263
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6262
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
1819
remove
5569
ref
subst
appThm
6261
ref
refl
appThm
sym
80
ref
"_29228"
1
ref
var
6266
def
13
ref
6266
remove
varTerm
appTerm
6261
ref
appTerm
absTerm
6267
def
5559
ref
3713
ref
appTerm
409
ref
appTerm
appTerm
betaConv
appThm
596
ref
215
remove
6267
ref
3713
ref
appTerm
betaConv
appThm
appThm
5576
remove
6267
ref
409
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1760
remove
409
remove
nil
cons
cons
1762
remove
3714
remove
cons
5577
remove
cons
cons
nil
cons
cons
nil
1764
remove
6267
remove
nil
cons
cons
nil
cons
nil
cons
cons
1765
remove
subst
subst
eqMp
sym
nil
204
remove
31
ref
13
ref
3713
remove
appTerm
6268
def
6261
ref
appTerm
6269
def
nil
cons
6270
def
cons
nil
cons
cons
nil
cons
cons
6271
def
49
ref
subst
6271
remove
121
ref
subst
13
ref
"_29230"
1
ref
var
6272
def
6268
ref
19
ref
6272
remove
varTerm
appTerm
413
ref
appTerm
appTerm
absTerm
6273
def
35
ref
appTerm
6274
def
appTerm
refl
6273
ref
55
ref
appTerm
betaConv
appThm
80
ref
6274
remove
betaConv
appThm
6268
remove
147
ref
413
ref
appTerm
appTerm
refl
appThm
trans
6273
remove
refl
74
remove
appThm
eqMp
sym
80
ref
3718
ref
appThm
2079
ref
156
ref
subst
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
207
remove
78
ref
6270
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
212
remove
6269
remove
appTerm
nil
cons
cons
31
ref
5575
remove
410
ref
6261
remove
appTerm
6275
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
5588
remove
31
ref
6275
remove
nil
cons
6276
def
cons
nil
cons
cons
nil
cons
cons
6277
def
49
ref
subst
6277
remove
121
ref
subst
13
ref
"_29232"
1
ref
var
6278
def
410
ref
19
ref
6278
remove
varTerm
appTerm
413
ref
appTerm
appTerm
absTerm
6279
def
35
ref
appTerm
6280
def
appTerm
refl
6279
ref
191
ref
appTerm
betaConv
appThm
80
ref
6280
remove
betaConv
appThm
410
remove
1025
ref
413
remove
appTerm
appTerm
refl
appThm
trans
6279
remove
refl
5595
remove
appThm
eqMp
sym
80
ref
417
ref
appThm
2079
remove
1029
ref
subst
appThm
nil
153
ref
660
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5596
remove
78
ref
6276
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
6265
remove
appTerm
thm
nil
152
ref
887
ref
1092
remove
absTerm
6281
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
1093
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
1091
remove
eqMp
absThm
eqMp
nil
150
ref
6281
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
2502
remove
5860
remove
2471
ref
appTerm
appTerm
6282
def
absTerm
6283
def
appTerm
6284
def
absTerm
6285
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6284
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6283
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6282
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
5794
ref
672
remove
5795
remove
appThm
2471
ref
refl
appThm
appThm
sym
5794
remove
2482
remove
163
ref
242
ref
531
ref
1235
ref
appTerm
6286
def
170
ref
appTerm
appTerm
445
ref
appTerm
absTerm
6287
def
170
ref
appTerm
6288
def
betaConv
442
ref
178
ref
6287
ref
appTerm
6289
def
absTerm
6290
def
445
ref
appTerm
6291
def
betaConv
nil
178
ref
6290
ref
appTerm
6292
def
axiom
nil
30
ref
6292
remove
nil
cons
cons
31
ref
6291
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6290
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6289
remove
nil
cons
cons
31
ref
6288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6287
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
5342
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6285
remove
appTerm
thm
1250
remove
nil
1251
remove
thm
596
ref
257
ref
1213
ref
387
ref
862
ref
nil
163
ref
1150
ref
1219
ref
appTerm
6293
def
nil
cons
cons
nil
cons
nil
cons
cons
2299
ref
subst
appThm
nil
1135
ref
1230
ref
cons
2618
ref
cons
nil
cons
cons
1603
ref
subst
trans
appThm
673
ref
461
remove
appThm
1219
ref
refl
6294
def
appThm
1246
ref
2299
ref
subst
trans
appThm
nil
1253
ref
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
appThm
1082
ref
887
ref
257
ref
1135
ref
32
ref
178
ref
1213
ref
242
ref
388
ref
467
ref
1138
ref
appTerm
6295
def
6293
ref
appTerm
appTerm
appTerm
467
ref
388
ref
1138
ref
appTerm
appTerm
1219
ref
appTerm
6296
def
appTerm
absTerm
appTerm
appTerm
6297
def
refl
257
ref
1213
ref
242
ref
388
ref
467
ref
1139
ref
appTerm
6298
def
6293
ref
appTerm
appTerm
appTerm
6299
def
refl
673
ref
1603
ref
appThm
6294
ref
appThm
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
63
ref
150
ref
887
ref
178
ref
1135
ref
6297
ref
178
ref
1213
ref
6299
ref
6295
ref
1219
ref
appTerm
6300
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
1082
ref
887
ref
257
ref
1135
ref
200
ref
257
ref
1213
ref
387
ref
862
ref
6295
ref
refl
1246
ref
4862
ref
subst
6301
def
appThm
appThm
appThm
6296
ref
refl
appThm
absThm
appThm
appThm
257
ref
1213
ref
387
ref
862
ref
6298
ref
refl
6301
remove
appThm
appThm
appThm
6300
ref
refl
6302
def
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
1082
ref
887
ref
257
ref
1135
ref
32
ref
178
ref
1213
ref
242
ref
388
ref
6295
ref
1157
ref
1219
ref
appTerm
6303
def
appTerm
appTerm
appTerm
6296
remove
appTerm
absTerm
appTerm
6304
def
appTerm
refl
6305
def
257
ref
1213
ref
387
ref
862
ref
673
ref
1170
ref
appThm
6303
ref
refl
appThm
nil
687
ref
6303
remove
nil
cons
cons
163
ref
1214
remove
cons
1452
ref
cons
cons
nil
cons
cons
2666
ref
subst
1155
remove
refl
6306
def
nil
687
ref
1230
ref
cons
6307
def
1291
remove
1171
ref
cons
cons
nil
cons
cons
2687
ref
subst
appThm
trans
trans
appThm
appThm
6302
ref
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
1082
ref
887
ref
257
ref
1135
ref
6305
remove
257
ref
1213
ref
387
ref
862
ref
nil
1135
ref
6300
remove
nil
cons
6308
def
cons
nil
cons
nil
cons
cons
6309
def
2696
ref
subst
appThm
6309
remove
1603
ref
subst
trans
appThm
6302
remove
appThm
nil
184
ref
6308
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
appThm
nil
63
ref
6304
remove
nil
cons
cons
nil
cons
nil
cons
cons
3092
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
nil
30
ref
38
ref
178
ref
1213
ref
242
ref
388
ref
2276
ref
6293
ref
appTerm
appTerm
appTerm
467
ref
462
remove
appTerm
1219
ref
appTerm
appTerm
absTerm
appTerm
appTerm
150
ref
887
ref
178
ref
1135
ref
6297
remove
178
ref
1213
ref
6299
remove
467
ref
3169
remove
appTerm
1219
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
31
ref
178
ref
1215
ref
178
ref
1213
ref
242
ref
388
ref
1218
ref
6293
remove
appTerm
appTerm
appTerm
467
ref
388
ref
1217
ref
appTerm
6310
def
appTerm
1219
ref
appTerm
appTerm
absTerm
6311
def
appTerm
6312
def
absTerm
6313
def
appTerm
6314
def
nil
cons
6315
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
6313
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
6313
ref
1138
ref
appTerm
betaConv
appThm
6313
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
1215
ref
6313
ref
1217
ref
appTerm
6316
def
betaConv
6317
def
absThm
appThm
appThm
nil
597
ref
6313
remove
nil
cons
6318
def
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
6319
def
nil
6314
remove
thm
596
ref
257
ref
163
ref
387
ref
673
ref
3468
ref
appThm
3265
remove
appThm
2550
ref
1183
ref
subst
trans
appThm
2299
ref
appThm
2036
ref
trans
absThm
appThm
278
ref
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
178
ref
163
ref
242
ref
467
ref
3769
remove
appTerm
4351
remove
appTerm
appTerm
6295
remove
170
ref
appTerm
appTerm
absTerm
appTerm
appTerm
6320
def
178
ref
163
ref
242
ref
467
ref
3771
remove
appTerm
4353
remove
appTerm
appTerm
6298
remove
170
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6321
def
refl
appThm
nil
63
ref
6321
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1188
ref
178
ref
1135
ref
6320
remove
178
ref
163
ref
242
ref
467
ref
3774
remove
appTerm
4355
remove
appTerm
appTerm
467
ref
3214
remove
appTerm
170
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
6322
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
6322
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
303
ref
32
ref
178
ref
163
ref
242
ref
467
ref
3778
remove
appTerm
4358
remove
appTerm
appTerm
467
ref
1192
ref
appTerm
6323
def
170
ref
appTerm
appTerm
absTerm
6324
def
appTerm
6325
def
appTerm
178
ref
163
ref
242
ref
467
ref
3783
remove
appTerm
4362
remove
appTerm
appTerm
467
ref
1193
ref
appTerm
6326
def
170
ref
appTerm
appTerm
absTerm
6327
def
appTerm
6328
def
appTerm
6329
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
6329
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6325
remove
nil
cons
6330
def
cons
6331
def
31
ref
6328
remove
nil
cons
6332
def
cons
nil
cons
6333
def
cons
nil
cons
cons
6334
def
49
ref
subst
6334
remove
121
ref
subst
596
ref
387
ref
673
ref
3794
remove
appThm
4372
remove
appThm
nil
3817
remove
nil
cons
cons
1183
ref
subst
6335
def
trans
appThm
6335
remove
appThm
nil
184
ref
3239
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
appThm
150
ref
887
ref
178
ref
1135
ref
32
ref
242
ref
467
ref
3795
remove
appTerm
4374
remove
appTerm
appTerm
6326
ref
1138
ref
appTerm
appTerm
appTerm
6336
def
242
ref
467
ref
3797
remove
appTerm
4376
remove
appTerm
appTerm
6326
ref
1139
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6337
def
refl
appThm
nil
63
ref
6337
ref
nil
cons
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
sym
nil
152
ref
1187
ref
178
ref
1135
ref
6336
remove
242
ref
467
ref
3799
remove
appTerm
4378
remove
appTerm
appTerm
6326
ref
3192
ref
appTerm
appTerm
appTerm
absTerm
appTerm
6338
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
6338
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
301
ref
32
ref
242
ref
467
ref
3801
remove
appTerm
4380
remove
appTerm
appTerm
6326
ref
1196
ref
appTerm
appTerm
6339
def
appTerm
242
ref
467
ref
3803
remove
appTerm
4382
remove
appTerm
appTerm
6326
ref
1197
ref
appTerm
6340
def
appTerm
6341
def
appTerm
6342
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
6342
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6339
remove
nil
cons
6343
def
cons
31
ref
6341
remove
nil
cons
6344
def
cons
nil
cons
cons
nil
cons
cons
6345
def
49
ref
subst
6345
remove
121
ref
subst
387
ref
673
ref
3889
ref
appThm
4421
ref
appThm
appThm
6340
remove
refl
appThm
sym
387
ref
673
ref
3864
remove
1170
ref
subst
appThm
4414
remove
1170
ref
subst
appThm
appThm
673
ref
3952
remove
appThm
3953
remove
appThm
appThm
sym
479
ref
38
ref
242
ref
467
ref
467
ref
4253
ref
appTerm
6346
def
1157
ref
3811
ref
appTerm
6347
def
appTerm
6348
def
appTerm
6349
def
467
ref
4425
ref
appTerm
6350
def
1157
ref
4390
ref
appTerm
6351
def
appTerm
appTerm
6352
def
appTerm
6353
def
1345
ref
appTerm
appTerm
1346
ref
467
ref
3956
remove
appTerm
6354
def
3960
remove
appTerm
6355
def
appTerm
6356
def
appTerm
absTerm
6357
def
467
ref
6346
remove
4425
ref
appTerm
6358
def
appTerm
6359
def
1157
ref
467
ref
3811
remove
appTerm
4390
remove
appTerm
6360
def
appTerm
appTerm
6361
def
appTerm
betaConv
sym
387
ref
nil
687
ref
6351
remove
nil
cons
cons
6362
def
163
ref
4425
ref
nil
cons
6363
def
cons
6364
def
442
ref
6348
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
5754
ref
subst
appThm
6359
ref
refl
nil
687
ref
4412
remove
cons
4330
remove
1171
ref
cons
cons
nil
cons
cons
4034
ref
subst
appThm
nil
6362
ref
163
ref
6347
ref
nil
cons
6365
def
cons
6366
def
442
ref
6358
ref
nil
cons
cons
nil
cons
6367
def
cons
cons
nil
cons
cons
5754
ref
subst
trans
appThm
nil
163
ref
6359
ref
6347
ref
appTerm
nil
cons
cons
6362
remove
442
ref
6349
remove
4425
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
711
ref
subst
trans
sym
387
ref
nil
687
ref
6363
remove
cons
6366
remove
442
ref
4253
remove
nil
cons
cons
nil
cons
6368
def
cons
cons
nil
cons
cons
2666
ref
subst
appThm
nil
687
ref
6365
ref
cons
6364
ref
6368
ref
cons
cons
nil
cons
cons
2666
ref
subst
appThm
nil
687
ref
6350
remove
6347
ref
appTerm
nil
cons
cons
163
ref
467
ref
6347
remove
appTerm
4425
remove
appTerm
nil
cons
cons
6368
remove
cons
cons
nil
cons
cons
687
ref
13
ref
1474
ref
692
ref
appTerm
appTerm
411
remove
691
ref
appTerm
appTerm
absTerm
6369
def
691
ref
appTerm
6370
def
betaConv
163
ref
178
ref
6369
ref
appTerm
6371
def
absTerm
6372
def
170
ref
appTerm
6373
def
betaConv
442
ref
178
ref
6372
ref
appTerm
6374
def
absTerm
6375
def
445
ref
appTerm
6376
def
betaConv
nil
178
ref
6375
ref
appTerm
6377
def
axiom
nil
30
ref
6377
remove
nil
cons
cons
31
ref
6376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6375
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6374
remove
nil
cons
cons
31
ref
6373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6372
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6371
remove
nil
cons
cons
31
ref
6370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6369
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6378
def
subst
trans
sym
nil
6364
remove
442
ref
6365
remove
cons
nil
cons
cons
nil
cons
cons
2490
ref
subst
eqMp
eqMp
nil
30
ref
6353
ref
6361
ref
appTerm
nil
cons
cons
31
ref
242
ref
6361
ref
appTerm
6355
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
13
ref
"_29290"
162
ref
var
6379
def
242
ref
6359
ref
1157
ref
6379
remove
varTerm
appTerm
appTerm
appTerm
6355
ref
appTerm
absTerm
6380
def
6360
remove
appTerm
6381
def
appTerm
refl
6380
ref
6323
remove
1196
ref
appTerm
6382
def
appTerm
betaConv
appThm
80
ref
6381
remove
betaConv
appThm
242
ref
6359
remove
1157
ref
6382
remove
appTerm
6383
def
appTerm
6384
def
appTerm
6385
def
6355
ref
appTerm
6386
def
refl
appThm
trans
6380
remove
refl
6324
ref
1196
ref
appTerm
6387
def
betaConv
nil
6331
remove
31
ref
6387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
6324
remove
nil
cons
cons
4187
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
eqMp
sym
479
ref
38
ref
6385
ref
1345
ref
appTerm
appTerm
6356
remove
appTerm
absTerm
6388
def
467
ref
3954
remove
3912
ref
appTerm
6389
def
appTerm
6390
def
6383
ref
appTerm
6391
def
appTerm
betaConv
sym
nil
163
ref
6389
ref
nil
cons
6392
def
cons
687
ref
6383
remove
nil
cons
cons
6367
remove
cons
cons
nil
cons
cons
711
ref
subst
sym
nil
4298
ref
31
ref
242
ref
6358
remove
appTerm
6389
remove
appTerm
nil
cons
6393
def
cons
nil
cons
6394
def
cons
nil
cons
cons
6395
def
49
ref
subst
6395
remove
121
ref
subst
13
ref
"_29294"
1
ref
var
6396
def
242
ref
467
ref
286
ref
19
ref
6396
remove
varTerm
6397
def
appTerm
1194
ref
appTerm
appTerm
appTerm
286
ref
38
ref
6397
ref
appTerm
1194
ref
appTerm
appTerm
appTerm
appTerm
467
ref
286
ref
6397
remove
appTerm
appTerm
3912
ref
appTerm
appTerm
absTerm
6398
def
1190
ref
appTerm
6399
def
appTerm
refl
6400
def
6398
ref
191
ref
appTerm
betaConv
appThm
80
ref
6399
remove
betaConv
appThm
6401
def
242
ref
467
ref
286
ref
1025
remove
1194
ref
appTerm
appTerm
appTerm
286
ref
1314
ref
1194
ref
appTerm
appTerm
appTerm
appTerm
467
ref
327
remove
appTerm
3912
ref
appTerm
appTerm
refl
appThm
trans
6398
remove
refl
6402
def
4308
ref
appThm
eqMp
sym
387
ref
673
ref
4861
ref
nil
63
ref
1333
ref
cons
nil
cons
nil
cons
cons
6403
def
1029
ref
subst
appThm
appThm
4861
ref
6403
ref
1318
ref
subst
appThm
326
remove
trans
appThm
nil
4215
ref
nil
cons
cons
1183
remove
subst
trans
appThm
2620
ref
3912
ref
refl
6404
def
appThm
nil
163
ref
3986
ref
cons
6405
def
nil
cons
nil
cons
cons
2299
ref
subst
trans
appThm
nil
184
ref
3986
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4309
ref
78
ref
6393
ref
cons
nil
cons
6406
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4313
ref
6394
remove
cons
nil
cons
cons
6407
def
49
ref
subst
6407
remove
121
ref
subst
6400
remove
"_29292"
1
ref
var
6408
def
242
ref
467
ref
286
ref
19
ref
6408
remove
varTerm
6409
def
appTerm
1194
ref
appTerm
appTerm
appTerm
286
ref
38
ref
6409
ref
appTerm
1194
ref
appTerm
appTerm
appTerm
appTerm
467
ref
286
ref
6409
remove
appTerm
appTerm
3912
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
6401
remove
242
ref
467
ref
286
ref
147
remove
1194
ref
appTerm
appTerm
appTerm
286
ref
745
ref
1194
ref
appTerm
appTerm
appTerm
appTerm
467
ref
1280
remove
appTerm
3912
ref
appTerm
appTerm
refl
appThm
trans
6402
remove
4316
ref
appThm
eqMp
sym
387
ref
673
ref
4861
ref
6403
ref
156
ref
subst
appThm
1285
ref
trans
appThm
4861
remove
6403
remove
749
ref
subst
appThm
appThm
appThm
6258
remove
6404
remove
appThm
appThm
nil
184
ref
6259
remove
3912
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4317
ref
6406
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4319
ref
nil
4317
ref
4320
ref
839
ref
6393
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
30
ref
6385
remove
6391
ref
appTerm
nil
cons
cons
31
ref
242
ref
6391
ref
appTerm
6355
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
387
ref
6390
ref
refl
nil
687
ref
1331
remove
cons
3257
remove
1171
ref
cons
cons
nil
cons
cons
6410
def
4034
ref
subst
appThm
nil
687
ref
3988
remove
cons
6411
def
163
ref
3964
ref
cons
6412
def
442
ref
6392
remove
cons
nil
cons
cons
cons
nil
cons
cons
5754
ref
subst
trans
appThm
nil
6411
ref
6405
ref
4110
remove
cons
cons
nil
cons
cons
5754
ref
subst
appThm
nil
163
ref
6354
remove
3912
ref
appTerm
nil
cons
cons
6411
ref
442
ref
6390
remove
3955
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
711
ref
subst
trans
sym
387
ref
nil
687
ref
3964
remove
cons
6405
remove
442
ref
3966
remove
cons
nil
cons
6413
def
cons
cons
nil
cons
cons
2666
ref
subst
appThm
nil
4179
remove
6412
ref
6413
ref
cons
cons
nil
cons
cons
2666
ref
subst
appThm
nil
687
ref
467
ref
3955
ref
appTerm
3912
remove
appTerm
nil
cons
cons
163
ref
3958
remove
3955
remove
appTerm
nil
cons
cons
6413
remove
cons
cons
nil
cons
cons
6378
ref
subst
trans
sym
nil
6412
ref
4215
remove
cons
nil
cons
cons
2490
ref
subst
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
6388
ref
nil
cons
cons
184
ref
6391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
6388
remove
appTerm
nil
cons
cons
31
ref
6386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
ref
6355
ref
nil
cons
cons
6414
def
184
ref
6384
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1602
ref
subst
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
6357
ref
nil
cons
cons
184
ref
6361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
6357
remove
appTerm
nil
cons
cons
31
ref
6353
remove
6355
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
6414
remove
184
ref
6352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1602
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6343
remove
cons
78
ref
6344
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
242
ref
467
ref
4332
remove
appTerm
4453
remove
appTerm
appTerm
6326
remove
164
ref
appTerm
appTerm
appTerm
6337
remove
appTerm
nil
cons
cons
6333
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
6327
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
6327
ref
1138
ref
appTerm
betaConv
appThm
6327
ref
1139
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
163
ref
6327
ref
170
ref
appTerm
betaConv
absThm
appThm
appThm
nil
597
ref
6327
remove
nil
cons
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
6330
remove
cons
78
ref
6332
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
178
ref
163
ref
242
ref
467
ref
3315
remove
appTerm
2883
remove
appTerm
appTerm
2295
remove
appTerm
absTerm
appTerm
appTerm
6321
remove
appTerm
nil
cons
cons
31
ref
178
ref
442
ref
178
ref
163
ref
242
ref
467
ref
3319
ref
appTerm
2887
ref
appTerm
appTerm
1235
ref
appTerm
absTerm
appTerm
absTerm
6415
def
appTerm
6416
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
6415
ref
164
ref
appTerm
betaConv
appThm
1082
ref
887
ref
257
ref
1135
ref
200
ref
6415
ref
1138
remove
appTerm
betaConv
appThm
6415
ref
1139
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
257
ref
442
ref
6415
ref
445
ref
appTerm
betaConv
absThm
appThm
appThm
nil
597
ref
6415
remove
nil
cons
cons
nil
cons
nil
cons
cons
3181
ref
subst
eqMp
eqMp
nil
6416
remove
thm
5266
ref
nil
5267
remove
thm
257
ref
163
ref
nil
"g"
5849
ref
var
5848
ref
5862
remove
absTerm
6417
def
nil
cons
cons
"f"
5849
remove
var
5851
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5871
remove
354
remove
cons
137
ref
cons
1908
remove
subst
subst
5931
remove
5874
remove
387
ref
nil
5848
remove
6248
ref
nil
cons
cons
nil
cons
nil
cons
cons
5876
remove
subst
appThm
6417
ref
6248
ref
appTerm
betaConv
appThm
nil
184
ref
5854
remove
5858
remove
6248
remove
appTerm
absTerm
5861
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
272
remove
5969
remove
277
remove
subst
subst
trans
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
163
ref
6030
remove
5851
remove
appTerm
6417
remove
appTerm
absTerm
appTerm
thm
5394
remove
nil
178
ref
5372
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
1615
remove
absTerm
6418
def
appTerm
6419
def
absTerm
6420
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
6419
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6418
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
1616
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
1620
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
6420
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
13
ref
1140
ref
283
ref
appTerm
6421
def
appTerm
6422
def
38
ref
969
ref
appTerm
1147
remove
appTerm
6423
def
appTerm
6424
def
absTerm
6425
def
appTerm
6426
def
absTerm
6427
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
6426
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6425
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
6424
remove
nil
cons
6428
def
cons
nil
cons
nil
cons
cons
69
ref
subst
774
remove
38
ref
6422
ref
1143
remove
appTerm
appTerm
1144
remove
6423
ref
appTerm
appTerm
absTerm
6429
def
1140
remove
4666
remove
164
ref
appTerm
appTerm
6430
def
appTerm
betaConv
sym
6422
ref
refl
1152
remove
1282
remove
1184
remove
subst
1285
remove
trans
appThm
appThm
nil
153
ref
6421
remove
nil
cons
cons
nil
cons
6431
def
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
nil
30
ref
6422
remove
6430
ref
appTerm
nil
cons
cons
31
ref
13
ref
6430
ref
appTerm
6423
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
302
remove
1187
ref
270
ref
cons
1189
remove
cons
cons
nil
cons
cons
1612
ref
subst
596
ref
1024
remove
4202
ref
subst
appThm
1613
remove
appThm
trans
eqMp
eqMp
136
ref
152
ref
6429
ref
nil
cons
cons
153
ref
6430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1614
remove
6429
remove
appTerm
nil
cons
cons
31
ref
6428
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1617
remove
6423
remove
nil
cons
cons
6431
remove
cons
nil
cons
cons
1619
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
6427
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
13
ref
5789
remove
appTerm
717
ref
1994
ref
appTerm
6432
def
appTerm
6433
def
absTerm
6434
def
appTerm
6435
def
absTerm
6436
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6435
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6434
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6433
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
3711
ref
476
remove
appThm
1806
ref
appThm
appThm
6432
ref
refl
6437
def
appThm
sym
80
ref
"_29132"
162
ref
var
6438
def
13
ref
3365
ref
6438
remove
varTerm
appTerm
525
ref
appTerm
appTerm
6432
ref
appTerm
absTerm
6439
def
472
remove
appTerm
betaConv
appThm
596
ref
4626
remove
6439
ref
164
ref
appTerm
betaConv
appThm
appThm
2521
remove
6439
ref
471
ref
appTerm
betaConv
appThm
appThm
appThm
4627
remove
nil
1698
ref
6439
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
ref
subst
subst
eqMp
sym
nil
817
remove
31
ref
13
ref
3712
ref
525
ref
appTerm
appTerm
6432
ref
appTerm
6440
def
nil
cons
6441
def
cons
nil
cons
cons
nil
cons
cons
6442
def
49
ref
subst
6442
remove
121
ref
subst
80
ref
580
remove
3718
ref
subst
appThm
4632
remove
1992
ref
refl
426
remove
appThm
1806
ref
appThm
appThm
nil
163
ref
1992
remove
4611
ref
appTerm
525
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
417
remove
subst
161
ref
nil
578
ref
442
ref
4611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2078
remove
subst
596
ref
436
remove
appThm
5431
remove
refl
appThm
nil
63
ref
5440
remove
cons
nil
cons
nil
cons
cons
1318
ref
subst
trans
trans
appThm
236
ref
trans
trans
trans
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
nil
669
remove
78
ref
6441
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
3183
remove
6440
remove
appTerm
nil
cons
cons
31
ref
767
remove
13
ref
3365
ref
471
remove
appTerm
525
ref
appTerm
appTerm
6432
ref
appTerm
6443
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
661
remove
31
ref
6443
remove
nil
cons
6444
def
cons
nil
cons
cons
nil
cons
cons
6445
def
49
ref
subst
6445
remove
121
ref
subst
80
ref
3711
ref
nil
690
ref
nil
cons
cons
644
remove
subst
appThm
1806
ref
appThm
nil
578
ref
690
remove
cons
nil
cons
cons
6446
def
163
ref
13
ref
3744
remove
170
ref
appTerm
appTerm
447
remove
appTerm
absTerm
6447
def
170
ref
appTerm
6448
def
betaConv
442
ref
178
ref
6447
ref
appTerm
6449
def
absTerm
6450
def
445
ref
appTerm
6451
def
betaConv
nil
178
ref
6450
ref
appTerm
6452
def
axiom
nil
30
ref
6452
remove
nil
cons
cons
31
ref
6451
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6450
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6449
remove
nil
cons
cons
31
ref
6448
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6447
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
6437
remove
appThm
sym
nil
30
ref
160
ref
6432
ref
appTerm
nil
cons
6453
def
cons
6454
def
31
ref
13
ref
407
ref
470
ref
appTerm
525
ref
appTerm
6455
def
appTerm
6456
def
6432
ref
appTerm
nil
cons
6457
def
cons
nil
cons
6458
def
cons
nil
cons
cons
6459
def
49
ref
subst
6459
remove
121
ref
subst
6456
remove
refl
6460
def
nil
6454
remove
31
ref
13
ref
6432
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
6432
ref
nil
cons
6461
def
cons
6462
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
6463
def
appThm
nil
63
ref
6455
remove
nil
cons
6464
def
cons
nil
cons
nil
cons
cons
6465
def
1323
ref
subst
6446
remove
3376
ref
subst
trans
trans
sym
743
ref
2514
remove
3897
remove
subst
161
ref
6463
remove
appThm
236
ref
trans
trans
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
714
ref
3365
ref
1994
remove
appTerm
170
ref
appTerm
appTerm
nil
cons
cons
31
ref
3365
ref
525
ref
appTerm
6466
def
470
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
2870
remove
5297
ref
cons
nil
cons
cons
163
ref
32
ref
725
ref
3365
ref
4638
remove
445
ref
appTerm
6467
def
appTerm
170
ref
appTerm
appTerm
appTerm
3404
ref
728
ref
appTerm
appTerm
absTerm
6468
def
170
ref
appTerm
6469
def
betaConv
522
ref
178
ref
6468
ref
appTerm
6470
def
absTerm
6471
def
525
ref
appTerm
6472
def
betaConv
442
ref
178
ref
6471
ref
appTerm
6473
def
absTerm
6474
def
445
ref
appTerm
6475
def
betaConv
nil
178
ref
522
ref
178
ref
442
ref
6470
ref
absTerm
6476
def
appTerm
6477
def
absTerm
6478
def
appTerm
6479
def
axiom
nil
30
ref
6479
remove
nil
cons
6480
def
cons
6481
def
31
ref
178
ref
6474
ref
appTerm
nil
cons
6482
def
cons
nil
cons
cons
nil
cons
cons
6483
def
101
ref
subst
proveHyp
6483
ref
49
ref
subst
6483
remove
121
ref
subst
nil
183
ref
6474
remove
nil
cons
cons
6484
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6473
remove
nil
cons
6485
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6471
remove
nil
cons
cons
6486
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6470
remove
nil
cons
6487
def
cons
nil
cons
nil
cons
cons
69
ref
subst
6476
ref
445
ref
appTerm
6488
def
betaConv
6478
ref
525
ref
appTerm
6489
def
betaConv
nil
6481
remove
31
ref
6489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
6478
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6477
remove
nil
cons
cons
31
ref
6488
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6476
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
6480
remove
cons
78
ref
6482
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
6482
remove
cons
31
ref
6475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6484
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6485
remove
cons
31
ref
6472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6486
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6487
remove
cons
31
ref
6469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6468
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
76
ref
6453
ref
cons
78
ref
6457
ref
cons
nil
cons
6490
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
6461
ref
cons
6458
remove
cons
nil
cons
cons
6491
def
49
ref
subst
6491
remove
121
ref
subst
6460
remove
nil
63
ref
6461
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
6432
ref
assume
eqMp
6492
def
appThm
6465
remove
4202
ref
subst
trans
sym
743
remove
2807
remove
6492
remove
appThm
750
ref
trans
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
714
remove
2766
ref
6432
ref
appTerm
appTerm
nil
cons
cons
31
ref
6464
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
5296
remove
2871
remove
cons
nil
cons
cons
442
ref
32
ref
725
remove
2766
remove
717
remove
6467
remove
appTerm
appTerm
appTerm
appTerm
407
ref
728
remove
appTerm
445
ref
appTerm
appTerm
6493
def
absTerm
6494
def
445
ref
appTerm
6495
def
betaConv
163
ref
178
ref
6494
ref
appTerm
6496
def
absTerm
6497
def
170
ref
appTerm
6498
def
betaConv
522
ref
178
ref
6497
ref
appTerm
6499
def
absTerm
6500
def
525
ref
appTerm
6501
def
betaConv
nil
178
ref
522
ref
178
ref
442
ref
178
ref
163
ref
6493
ref
absTerm
6502
def
appTerm
6503
def
absTerm
6504
def
appTerm
6505
def
absTerm
6506
def
appTerm
6507
def
axiom
nil
30
ref
6507
remove
nil
cons
6508
def
cons
6509
def
31
ref
178
ref
6500
ref
appTerm
nil
cons
6510
def
cons
nil
cons
cons
nil
cons
cons
6511
def
101
ref
subst
proveHyp
6511
ref
49
ref
subst
6511
remove
121
ref
subst
nil
183
ref
6500
remove
nil
cons
cons
6512
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6499
remove
nil
cons
6513
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6497
remove
nil
cons
cons
6514
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6496
remove
nil
cons
6515
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6494
remove
nil
cons
cons
6516
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6493
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
6502
ref
170
ref
appTerm
6517
def
betaConv
6504
ref
445
ref
appTerm
6518
def
betaConv
6506
ref
525
ref
appTerm
6519
def
betaConv
nil
6509
remove
31
ref
6519
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
6506
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6505
remove
nil
cons
cons
31
ref
6518
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6504
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6503
remove
nil
cons
cons
31
ref
6517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6502
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
6508
remove
cons
78
ref
6510
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
6510
remove
cons
31
ref
6501
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6512
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6513
remove
cons
31
ref
6498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6514
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6515
remove
cons
31
ref
6495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6516
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
6462
ref
6490
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
6432
remove
appTerm
6520
def
betaConv
833
ref
nil
834
ref
31
ref
6520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
6461
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
6462
remove
78
ref
6453
remove
cons
839
ref
6457
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
815
remove
78
ref
6444
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6436
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
242
ref
2567
remove
appTerm
6521
def
2584
remove
appTerm
6522
def
absTerm
6523
def
appTerm
6524
def
absTerm
6525
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6524
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6523
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6522
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2753
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6525
remove
appTerm
thm
1082
ref
887
ref
257
ref
303
ref
257
ref
301
ref
80
ref
nil
442
ref
1097
ref
1196
ref
appTerm
6526
def
nil
cons
cons
163
ref
1097
ref
1192
ref
appTerm
6527
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
3419
ref
subst
161
ref
nil
3898
remove
3900
remove
nil
cons
cons
nil
cons
cons
3711
ref
nil
1209
remove
nil
cons
nil
cons
cons
1170
ref
subst
appThm
4170
remove
1170
ref
subst
appThm
nil
6411
remove
6412
remove
1452
ref
cons
cons
nil
cons
cons
687
ref
13
ref
3365
ref
1235
ref
appTerm
6528
def
692
remove
appTerm
appTerm
4045
ref
appTerm
absTerm
6529
def
691
ref
appTerm
6530
def
betaConv
163
ref
178
ref
6529
ref
appTerm
6531
def
absTerm
6532
def
170
ref
appTerm
6533
def
betaConv
442
ref
178
ref
6532
ref
appTerm
6534
def
absTerm
6535
def
445
ref
appTerm
6536
def
betaConv
nil
178
ref
6535
ref
appTerm
6537
def
axiom
6538
def
nil
30
ref
6537
remove
nil
cons
cons
6539
def
31
ref
6536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6535
ref
nil
cons
cons
6540
def
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6534
remove
nil
cons
cons
31
ref
6533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6532
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6531
remove
nil
cons
cons
31
ref
6530
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6529
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6541
def
subst
6410
remove
687
ref
13
ref
3365
ref
1301
ref
appTerm
2667
ref
appTerm
appTerm
2061
remove
4045
ref
appTerm
appTerm
absTerm
6542
def
691
ref
appTerm
6543
def
betaConv
163
ref
178
ref
6542
ref
appTerm
6544
def
absTerm
6545
def
170
ref
appTerm
6546
def
betaConv
442
ref
178
ref
6545
ref
appTerm
6547
def
absTerm
6548
def
445
ref
appTerm
6549
def
betaConv
nil
178
ref
6548
ref
appTerm
6550
def
axiom
nil
30
ref
6550
remove
nil
cons
cons
31
ref
6549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6548
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6547
remove
nil
cons
cons
31
ref
6546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6545
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6544
remove
nil
cons
cons
31
ref
6543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6542
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6551
def
subst
2070
remove
4223
ref
refl
6552
def
appThm
4236
remove
1029
ref
subst
trans
trans
trans
trans
6553
def
subst
appThm
trans
appThm
nil
4211
remove
3258
remove
cons
nil
cons
cons
3419
ref
subst
appThm
nil
153
ref
160
ref
3365
ref
1196
ref
appTerm
1192
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
887
ref
178
ref
303
ref
178
ref
301
ref
13
ref
407
ref
6527
ref
appTerm
6526
ref
appTerm
appTerm
3904
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
1082
ref
887
ref
257
ref
303
ref
257
ref
301
ref
80
ref
6553
remove
appThm
6552
remove
appThm
4242
remove
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
887
ref
178
ref
303
ref
178
ref
301
ref
13
ref
3365
ref
6527
remove
appTerm
6526
remove
appTerm
appTerm
4223
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
1129
remove
nil
1130
remove
thm
3681
ref
nil
178
ref
163
ref
178
ref
522
ref
178
ref
1939
ref
3638
remove
absTerm
6554
def
appTerm
6555
def
absTerm
6556
def
appTerm
6557
def
absTerm
6558
def
appTerm
6559
def
thm
257
ref
163
ref
257
ref
3640
ref
257
ref
3639
ref
387
ref
2491
ref
refl
6560
def
3660
remove
appThm
appThm
2469
ref
2491
ref
3642
ref
appTerm
6561
def
appTerm
3644
ref
appTerm
6562
def
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
257
ref
163
ref
257
ref
3640
ref
257
ref
3639
ref
387
ref
3661
remove
5721
ref
subst
nil
3662
remove
3663
remove
5085
remove
cons
cons
nil
cons
cons
3673
remove
subst
401
ref
appThm
nil
186
remove
1911
remove
5076
ref
3642
remove
appTerm
6563
def
nil
cons
cons
2014
remove
5076
remove
3644
remove
appTerm
6564
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2139
remove
subst
trans
trans
appThm
nil
3676
remove
163
ref
6561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5721
ref
subst
6564
ref
refl
3677
remove
5721
remove
subst
appThm
trans
appThm
nil
184
ref
6564
remove
6563
remove
170
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
178
ref
163
ref
178
ref
3640
remove
178
ref
3639
ref
242
ref
2491
ref
3646
remove
appTerm
appTerm
6562
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
3678
remove
nil
5279
remove
thm
nil
183
ref
163
ref
178
ref
4732
ref
178
ref
522
ref
5205
remove
2457
ref
2894
remove
4733
ref
appTerm
525
ref
appTerm
appTerm
appTerm
6565
def
absTerm
6566
def
appTerm
6567
def
absTerm
6568
def
appTerm
6569
def
absTerm
6570
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6569
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6568
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
6567
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6566
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6565
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
5337
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6570
remove
appTerm
thm
nil
183
ref
522
ref
178
ref
1215
ref
178
ref
1213
ref
242
ref
2469
ref
1294
remove
appTerm
525
ref
appTerm
appTerm
1293
ref
2469
ref
1219
ref
appTerm
6571
def
525
ref
appTerm
6572
def
appTerm
appTerm
6573
def
absTerm
6574
def
appTerm
6575
def
absTerm
6576
def
appTerm
6577
def
absTerm
6578
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6577
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6576
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
6575
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6574
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1213
ref
nil
63
ref
6573
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
387
ref
1300
remove
2501
ref
subst
nil
6307
ref
1243
ref
3498
remove
cons
6579
def
cons
nil
cons
cons
6580
def
2632
ref
subst
trans
appThm
1293
remove
refl
1246
ref
2501
ref
subst
6581
def
appThm
nil
6307
remove
2058
remove
1233
remove
cons
cons
nil
cons
cons
2632
remove
subst
trans
appThm
sym
2549
ref
nil
6579
remove
nil
cons
cons
2105
ref
subst
appThm
6294
ref
appThm
eqMp
6582
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6578
remove
appTerm
thm
257
ref
522
ref
257
ref
1215
ref
257
ref
1213
ref
80
ref
nil
163
ref
6572
ref
nil
cons
6583
def
cons
442
ref
2469
ref
1217
ref
appTerm
525
ref
appTerm
6584
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
5714
ref
subst
596
ref
3711
ref
1244
ref
2501
ref
subst
6585
def
appThm
6581
ref
appThm
6580
ref
6551
remove
subst
4959
remove
5101
ref
refl
6586
def
appThm
5133
remove
1029
ref
subst
trans
trans
trans
6587
def
appThm
nil
1213
ref
1232
remove
cons
1215
ref
1230
remove
cons
nil
cons
cons
nil
cons
cons
6587
ref
subst
appThm
trans
appThm
1234
remove
5714
remove
subst
appThm
nil
153
ref
38
ref
5101
ref
appTerm
3365
ref
1219
ref
appTerm
1217
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
522
ref
178
ref
1215
ref
178
ref
1213
ref
13
ref
242
ref
6584
ref
appTerm
6572
ref
appTerm
appTerm
5113
remove
1219
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
257
ref
522
ref
257
ref
1215
ref
257
ref
1213
ref
80
ref
6587
remove
appThm
6586
remove
appThm
nil
153
ref
5109
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
178
ref
522
ref
178
ref
1215
ref
178
ref
1213
ref
13
ref
3365
ref
6584
ref
appTerm
6572
ref
appTerm
appTerm
5101
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
183
ref
1215
ref
178
ref
1213
ref
178
ref
522
ref
242
ref
2456
ref
1218
ref
6572
ref
appTerm
6588
def
appTerm
525
ref
appTerm
appTerm
2456
ref
1217
ref
appTerm
525
ref
appTerm
appTerm
6589
def
absTerm
6590
def
appTerm
6591
def
absTerm
6592
def
appTerm
6593
def
absTerm
6594
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
6593
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6592
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1213
ref
nil
63
ref
6591
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6590
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6589
remove
nil
cons
6595
def
cons
nil
cons
nil
cons
cons
69
ref
subst
687
ref
242
ref
6588
ref
appTerm
1218
ref
2469
ref
691
ref
appTerm
525
ref
appTerm
6596
def
appTerm
appTerm
absTerm
6597
def
1219
ref
appTerm
betaConv
sym
nil
184
ref
6588
ref
nil
cons
6598
def
cons
nil
cons
nil
cons
cons
425
ref
subst
sym
68
ref
eqMp
eqMp
182
ref
183
ref
6597
ref
nil
cons
cons
1253
ref
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
6597
remove
appTerm
nil
cons
cons
31
ref
6595
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1243
remove
442
ref
6598
remove
cons
nil
cons
cons
nil
cons
cons
522
ref
32
ref
1531
ref
687
ref
695
remove
693
ref
6596
ref
appTerm
6599
def
appTerm
6600
def
absTerm
6601
def
appTerm
6602
def
appTerm
6603
def
242
ref
2456
ref
445
ref
appTerm
525
ref
appTerm
6604
def
appTerm
2458
ref
appTerm
6605
def
appTerm
6606
def
absTerm
6607
def
525
ref
appTerm
6608
def
betaConv
163
ref
178
ref
6607
ref
appTerm
6609
def
absTerm
6610
def
170
ref
appTerm
6611
def
betaConv
442
ref
178
ref
6610
ref
appTerm
6612
def
absTerm
6613
def
445
ref
appTerm
6614
def
betaConv
nil
183
ref
442
ref
178
ref
163
ref
178
ref
687
ref
178
ref
522
ref
32
ref
6600
ref
appTerm
6605
ref
appTerm
6615
def
absTerm
6616
def
appTerm
6617
def
absTerm
6618
def
appTerm
6619
def
absTerm
6620
def
appTerm
6621
def
absTerm
6622
def
nil
cons
cons
6623
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6621
remove
nil
cons
6624
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6620
ref
nil
cons
cons
6625
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6619
remove
nil
cons
6626
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6618
ref
nil
cons
cons
6627
def
nil
cons
nil
cons
cons
562
ref
subst
687
ref
nil
63
ref
6617
remove
nil
cons
6628
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6616
ref
nil
cons
cons
6629
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6615
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6600
ref
nil
cons
6630
def
cons
6631
def
31
ref
6605
ref
nil
cons
6632
def
cons
nil
cons
6633
def
cons
nil
cons
cons
6634
def
49
ref
subst
6634
ref
121
ref
subst
13
ref
"_29118"
162
ref
var
6635
def
242
ref
2456
ref
6635
remove
varTerm
appTerm
525
ref
appTerm
appTerm
2458
ref
appTerm
absTerm
6636
def
445
ref
appTerm
6637
def
appTerm
refl
6636
ref
6599
ref
appTerm
betaConv
appThm
80
ref
6637
remove
betaConv
appThm
242
ref
2456
ref
6599
ref
appTerm
6638
def
525
ref
appTerm
6639
def
appTerm
2458
ref
appTerm
refl
appThm
trans
6636
remove
refl
6600
remove
assume
appThm
eqMp
sym
nil
2581
ref
2479
ref
cons
442
ref
6639
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2581
ref
2590
remove
242
ref
633
remove
2469
ref
1955
ref
6599
ref
appTerm
6640
def
525
ref
appTerm
appTerm
525
ref
appTerm
6641
def
appTerm
appTerm
2592
remove
6641
ref
appTerm
appTerm
6642
def
appTerm
6643
def
absTerm
6644
def
2588
ref
appTerm
6645
def
betaConv
442
ref
178
ref
6644
ref
appTerm
6646
def
absTerm
6647
def
445
ref
appTerm
6648
def
betaConv
257
ref
442
ref
257
ref
2581
ref
6643
remove
assume
sym
13
ref
6642
remove
appTerm
2589
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
703
remove
6641
ref
appTerm
6649
def
betaConv
706
remove
nil
707
remove
31
ref
6649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
708
remove
184
ref
6641
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
30
ref
178
ref
6647
ref
appTerm
nil
cons
cons
31
ref
6648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6647
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6646
remove
nil
cons
cons
31
ref
6645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6644
remove
nil
cons
cons
2602
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
sym
13
ref
"_29120"
162
ref
var
6650
def
242
ref
6650
remove
varTerm
appTerm
2468
ref
6641
ref
appTerm
6651
def
appTerm
absTerm
6652
def
467
ref
6639
remove
appTerm
6641
remove
appTerm
appTerm
6653
def
appTerm
refl
6652
ref
6599
ref
appTerm
betaConv
appThm
80
ref
6653
remove
betaConv
appThm
242
ref
6599
ref
appTerm
6654
def
6651
remove
appTerm
refl
appThm
trans
6652
remove
refl
"k'"
162
ref
var
6655
def
242
ref
467
ref
6638
remove
6655
ref
varTerm
6656
def
appTerm
appTerm
2469
ref
6640
remove
6656
ref
appTerm
appTerm
6656
ref
appTerm
appTerm
appTerm
6599
ref
appTerm
absTerm
6657
def
525
ref
appTerm
6658
def
betaConv
5263
remove
6599
ref
appTerm
6659
def
betaConv
5266
remove
nil
5268
remove
31
ref
6659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
5265
remove
184
ref
6599
remove
nil
cons
cons
nil
cons
6660
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
6657
ref
appTerm
nil
cons
cons
31
ref
6658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6657
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
eqMp
sym
6654
remove
refl
5809
ref
2638
ref
nil
1213
ref
709
remove
cons
6661
def
1215
ref
185
ref
cons
nil
cons
6662
def
cons
nil
cons
cons
1213
ref
242
ref
1955
ref
6588
remove
appTerm
525
ref
appTerm
appTerm
467
ref
1955
ref
1217
ref
appTerm
6663
def
525
ref
appTerm
appTerm
1219
ref
appTerm
appTerm
6664
def
absTerm
6665
def
1219
ref
appTerm
6666
def
betaConv
6667
def
1215
ref
178
ref
6665
ref
appTerm
6668
def
absTerm
6669
def
1217
ref
appTerm
6670
def
betaConv
6671
def
522
ref
178
ref
6669
ref
appTerm
6672
def
absTerm
6673
def
525
ref
appTerm
6674
def
betaConv
6675
def
257
ref
1215
ref
257
ref
1213
ref
387
ref
nil
163
ref
1218
ref
6571
ref
164
ref
appTerm
appTerm
6676
def
nil
cons
cons
nil
cons
nil
cons
cons
2012
ref
subst
1218
ref
refl
6677
def
1246
ref
2554
ref
subst
appThm
trans
appThm
673
ref
1244
ref
2012
ref
subst
appThm
6294
ref
appThm
appThm
nil
184
ref
1228
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
1215
ref
178
ref
1213
ref
242
ref
1955
ref
6676
remove
appTerm
164
ref
appTerm
appTerm
467
ref
6663
ref
164
ref
appTerm
appTerm
1219
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6678
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
6672
ref
appTerm
178
ref
1215
ref
178
ref
1213
ref
242
ref
1955
ref
1218
remove
6571
remove
553
ref
appTerm
appTerm
6679
def
appTerm
553
ref
appTerm
appTerm
467
ref
6663
remove
553
ref
appTerm
appTerm
1219
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
6680
def
appTerm
6681
def
absTerm
6682
def
appTerm
6683
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
6682
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6681
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6672
remove
nil
cons
6684
def
cons
6685
def
31
ref
6680
remove
nil
cons
6686
def
cons
nil
cons
cons
nil
cons
cons
6687
def
49
ref
subst
6687
remove
121
ref
subst
257
ref
1215
ref
257
ref
1213
ref
387
ref
nil
163
ref
6679
remove
nil
cons
cons
nil
cons
nil
cons
cons
2154
ref
subst
4828
ref
862
ref
6677
remove
1246
remove
2636
ref
subst
appThm
appThm
nil
1213
ref
6583
remove
cons
nil
cons
nil
cons
cons
6311
ref
1219
ref
appTerm
6688
def
betaConv
6317
remove
6319
remove
nil
30
ref
6315
remove
cons
31
ref
6316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6318
remove
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6312
remove
nil
cons
cons
31
ref
6688
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6311
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
1806
ref
appThm
nil
1215
ref
6310
ref
nil
cons
cons
nil
cons
nil
cons
cons
6667
remove
6671
remove
nil
6685
remove
31
ref
6670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
6689
def
182
ref
183
ref
6669
remove
nil
cons
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
6690
def
eqMp
eqMp
nil
30
ref
6668
remove
nil
cons
cons
31
ref
6666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
6691
def
proveHyp
182
ref
183
ref
6665
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
6692
def
eqMp
eqMp
subst
trans
trans
appThm
673
ref
1244
remove
2154
ref
subst
appThm
6294
remove
appThm
appThm
nil
184
ref
467
ref
1955
ref
6310
remove
appTerm
525
ref
appTerm
appTerm
1219
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
6684
remove
cons
78
ref
6686
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
6678
remove
appTerm
6683
remove
appTerm
nil
cons
cons
31
ref
178
ref
6673
ref
appTerm
nil
cons
6693
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
6673
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
6675
ref
appThm
6673
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
6675
remove
absThm
appThm
appThm
nil
597
ref
6673
remove
nil
cons
6694
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
6693
remove
cons
31
ref
6674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6694
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6689
remove
proveHyp
6690
remove
eqMp
eqMp
6691
remove
proveHyp
6692
remove
eqMp
eqMp
6695
def
subst
appThm
1806
ref
appThm
nil
6661
remove
1215
ref
2055
ref
cons
nil
cons
cons
nil
cons
cons
1213
ref
242
ref
2469
ref
1220
remove
appTerm
525
ref
appTerm
6696
def
appTerm
467
ref
6584
remove
appTerm
6572
remove
appTerm
6697
def
appTerm
6698
def
absTerm
6699
def
1219
ref
appTerm
6700
def
betaConv
1215
ref
178
ref
6699
ref
appTerm
6701
def
absTerm
6702
def
1217
ref
appTerm
6703
def
betaConv
522
ref
178
ref
6702
ref
appTerm
6704
def
absTerm
6705
def
525
ref
appTerm
6706
def
betaConv
257
ref
522
ref
257
ref
1215
ref
257
ref
1213
ref
387
ref
1229
remove
2501
remove
subst
6580
remove
4034
ref
subst
trans
appThm
673
ref
6585
remove
appThm
6581
remove
appThm
appThm
nil
184
ref
467
ref
2494
ref
1217
ref
appTerm
appTerm
2494
remove
1219
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
6707
def
nil
30
ref
178
ref
6705
ref
appTerm
6708
def
nil
cons
cons
31
ref
6706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6705
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6704
remove
nil
cons
cons
31
ref
6703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6702
remove
nil
cons
cons
1252
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6701
remove
nil
cons
cons
31
ref
6700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6699
remove
nil
cons
cons
1253
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6709
def
subst
trans
appThm
nil
687
ref
6596
ref
nil
cons
cons
2481
remove
cons
nil
cons
cons
5754
ref
subst
673
ref
2541
ref
appThm
6596
ref
refl
appThm
trans
trans
appThm
nil
6660
remove
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6630
remove
cons
6710
def
78
ref
6632
remove
cons
nil
cons
6711
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6712
def
nil
30
ref
178
ref
6622
ref
appTerm
6713
def
nil
cons
6714
def
cons
6715
def
31
ref
178
ref
6613
ref
appTerm
nil
cons
6716
def
cons
nil
cons
cons
nil
cons
cons
6717
def
101
ref
subst
proveHyp
6717
ref
49
ref
subst
6717
remove
121
ref
subst
nil
183
ref
6613
remove
nil
cons
cons
6718
def
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6612
remove
nil
cons
6719
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6610
remove
nil
cons
cons
6720
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6609
remove
nil
cons
6721
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6607
remove
nil
cons
cons
6722
def
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6606
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6602
remove
nil
cons
6723
def
cons
6724
def
6633
ref
cons
nil
cons
cons
6725
def
49
ref
subst
6725
remove
121
ref
subst
nil
6715
ref
6633
remove
cons
nil
cons
cons
6726
def
101
ref
subst
nil
6724
remove
31
ref
32
ref
6713
ref
appTerm
6605
remove
appTerm
6727
def
nil
cons
6728
def
cons
nil
cons
6729
def
cons
nil
cons
cons
101
ref
subst
nil
183
ref
687
ref
32
ref
6601
ref
691
ref
appTerm
6730
def
appTerm
6727
ref
appTerm
6731
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
687
ref
nil
63
ref
6731
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6730
ref
nil
cons
6732
def
cons
6729
ref
cons
nil
cons
cons
6733
def
49
ref
subst
6733
remove
121
ref
subst
6730
ref
betaConv
6730
remove
assume
eqMp
nil
6631
remove
6729
remove
cons
nil
cons
cons
6734
def
101
ref
subst
proveHyp
6734
ref
49
ref
subst
6734
remove
121
ref
subst
6726
ref
49
ref
subst
6726
remove
121
ref
subst
6634
remove
101
ref
subst
6616
remove
525
ref
appTerm
6735
def
betaConv
6618
remove
691
ref
appTerm
6736
def
betaConv
6620
remove
170
ref
appTerm
6737
def
betaConv
6622
remove
445
ref
appTerm
6738
def
betaConv
nil
6715
remove
31
ref
6738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
6623
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6624
remove
cons
31
ref
6737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6625
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6626
remove
cons
31
ref
6736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6627
remove
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6628
remove
cons
31
ref
6735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6629
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6714
remove
cons
6739
def
6711
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
6710
remove
78
ref
6728
remove
cons
nil
cons
6740
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
6732
remove
cons
6740
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
6601
ref
1909
ref
appTerm
appTerm
6727
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
6603
remove
6727
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6601
remove
nil
cons
cons
6740
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6723
remove
cons
6711
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6739
remove
78
ref
6716
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
6716
remove
cons
31
ref
6614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6718
remove
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6719
remove
cons
31
ref
6611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6720
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6721
remove
cons
31
ref
6608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6722
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6741
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6594
remove
appTerm
thm
3262
remove
nil
3263
remove
thm
nil
183
ref
163
ref
465
remove
466
remove
467
ref
614
remove
appTerm
283
ref
appTerm
appTerm
appTerm
6742
def
absTerm
6743
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6742
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
853
remove
eqMp
absThm
eqMp
nil
178
ref
6743
remove
appTerm
thm
nil
183
ref
163
ref
502
remove
874
remove
appTerm
6744
def
absTerm
6745
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6744
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
870
remove
eqMp
absThm
eqMp
nil
178
ref
6745
remove
appTerm
thm
nil
152
ref
887
ref
178
ref
1135
ref
4596
remove
absTerm
6746
def
appTerm
6747
def
absTerm
6748
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
6747
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6746
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1135
ref
nil
63
ref
4597
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4595
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
6748
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
3365
ref
463
ref
1235
ref
appTerm
6749
def
appTerm
6750
def
467
ref
3325
ref
appTerm
283
ref
appTerm
6751
def
appTerm
6752
def
absTerm
6753
def
appTerm
6754
def
absTerm
6755
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6754
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6753
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6752
remove
nil
cons
6756
def
cons
nil
cons
nil
cons
cons
69
ref
subst
2581
ref
38
ref
6750
ref
2588
ref
appTerm
appTerm
4478
ref
6751
ref
appTerm
appTerm
absTerm
6757
def
463
ref
2469
ref
4709
ref
appTerm
6758
def
283
ref
appTerm
6759
def
appTerm
6760
def
appTerm
betaConv
sym
6528
ref
refl
nil
163
ref
4709
ref
nil
cons
6761
def
cons
nil
cons
nil
cons
cons
6762
def
4915
remove
subst
6762
remove
163
ref
242
ref
1400
remove
appTerm
693
ref
170
ref
appTerm
appTerm
absTerm
6763
def
170
ref
appTerm
6764
def
betaConv
nil
178
ref
6763
ref
appTerm
6765
def
axiom
nil
30
ref
6765
remove
nil
cons
cons
31
ref
6764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6763
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
sym
596
ref
nil
63
ref
3404
remove
4709
ref
appTerm
6766
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
6766
ref
absTerm
6767
def
170
ref
appTerm
6768
def
betaConv
442
ref
178
ref
6767
ref
appTerm
6769
def
absTerm
6770
def
445
ref
appTerm
6771
def
betaConv
nil
178
ref
6770
ref
appTerm
6772
def
axiom
nil
30
ref
6772
remove
nil
cons
cons
31
ref
6771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6770
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6769
remove
nil
cons
cons
31
ref
6768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6767
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
appThm
nil
63
ref
3366
ref
4709
ref
appTerm
6773
def
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
6773
ref
absTerm
6774
def
170
ref
appTerm
6775
def
betaConv
442
ref
178
ref
6774
ref
appTerm
6776
def
absTerm
6777
def
445
ref
appTerm
6778
def
betaConv
nil
178
ref
6777
ref
appTerm
6779
def
axiom
nil
30
ref
6779
remove
nil
cons
cons
31
ref
6778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6777
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6776
remove
nil
cons
cons
31
ref
6775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6774
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
appThm
750
ref
trans
sym
68
ref
eqMp
nil
30
ref
38
ref
6766
remove
appTerm
6773
remove
appTerm
nil
cons
cons
31
ref
6528
ref
467
ref
4709
ref
appTerm
4709
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
"q"
162
ref
var
6780
def
6761
ref
cons
687
ref
6761
ref
cons
nil
cons
cons
nil
cons
cons
6780
ref
32
ref
38
ref
4067
remove
appTerm
3366
ref
6780
remove
varTerm
6781
def
appTerm
appTerm
appTerm
6528
ref
3969
ref
6781
ref
appTerm
appTerm
appTerm
absTerm
6782
def
6781
ref
appTerm
6783
def
betaConv
687
ref
178
ref
6782
ref
appTerm
6784
def
absTerm
6785
def
691
ref
appTerm
6786
def
betaConv
163
ref
178
ref
6785
ref
appTerm
6787
def
absTerm
6788
def
170
ref
appTerm
6789
def
betaConv
442
ref
178
ref
6788
ref
appTerm
6790
def
absTerm
6791
def
445
ref
appTerm
6792
def
betaConv
nil
178
ref
6791
ref
appTerm
6793
def
axiom
nil
30
ref
6793
remove
nil
cons
cons
31
ref
6792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6791
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6790
remove
nil
cons
cons
31
ref
6789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6788
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6787
remove
nil
cons
cons
31
ref
6786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6785
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6784
remove
nil
cons
cons
31
ref
6783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6782
remove
nil
cons
cons
184
ref
6781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
30
ref
6528
remove
6759
ref
appTerm
nil
cons
cons
31
ref
6750
remove
6760
ref
appTerm
nil
cons
6794
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1213
ref
6759
remove
nil
cons
cons
1215
ref
1235
ref
nil
cons
6795
def
cons
nil
cons
cons
nil
cons
cons
5181
ref
subst
eqMp
nil
30
ref
6794
remove
cons
31
ref
3365
ref
6760
ref
appTerm
6796
def
6751
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
6796
ref
refl
673
ref
163
ref
242
ref
3325
remove
appTerm
5643
ref
appTerm
6797
def
absTerm
6798
def
170
ref
appTerm
6799
def
betaConv
442
ref
178
ref
6798
ref
appTerm
6800
def
absTerm
6801
def
445
ref
appTerm
6802
def
betaConv
257
ref
442
ref
257
ref
163
ref
6797
remove
assume
sym
5644
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
5720
remove
eqMp
nil
30
ref
178
ref
6801
ref
appTerm
nil
cons
cons
31
ref
6802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6801
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6800
remove
nil
cons
cons
31
ref
6799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6798
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
appThm
675
ref
appThm
appThm
sym
nil
30
ref
160
ref
5648
remove
164
ref
appTerm
6803
def
appTerm
6804
def
nil
cons
6805
def
cons
6806
def
31
ref
6796
remove
467
ref
5643
remove
appTerm
6807
def
283
ref
appTerm
6808
def
appTerm
6809
def
nil
cons
6810
def
cons
nil
cons
6811
def
cons
nil
cons
cons
6812
def
49
ref
subst
6812
remove
121
ref
subst
522
ref
32
ref
6804
remove
appTerm
6813
def
242
ref
463
ref
6758
remove
525
ref
appTerm
appTerm
appTerm
6807
remove
525
ref
appTerm
appTerm
appTerm
absTerm
6814
def
283
ref
appTerm
6815
def
betaConv
4934
ref
4709
remove
appTerm
6816
def
betaConv
4972
ref
nil
4974
ref
31
ref
6816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4975
ref
184
ref
6761
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
6814
ref
appTerm
nil
cons
cons
31
ref
6815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6814
remove
nil
cons
cons
3572
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6813
remove
242
ref
6760
ref
appTerm
6808
ref
appTerm
6817
def
appTerm
nil
cons
cons
6811
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
161
ref
nil
6806
remove
31
ref
13
ref
6803
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
6803
ref
nil
cons
6818
def
cons
6819
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
appThm
6817
ref
refl
appThm
nil
63
ref
6817
ref
nil
cons
6820
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
6809
remove
refl
appThm
sym
nil
30
ref
6820
ref
cons
6811
ref
cons
nil
cons
cons
6821
def
49
ref
subst
6821
remove
121
ref
subst
13
ref
"_29100"
162
ref
var
6822
def
3365
ref
6822
remove
varTerm
appTerm
6808
ref
appTerm
absTerm
6823
def
6760
ref
appTerm
6824
def
appTerm
refl
6823
ref
6808
ref
appTerm
betaConv
appThm
80
ref
6824
remove
betaConv
appThm
3365
ref
6808
ref
appTerm
6808
ref
appTerm
refl
appThm
trans
6823
remove
refl
6817
remove
assume
appThm
eqMp
sym
nil
163
ref
6808
remove
nil
cons
cons
nil
cons
nil
cons
cons
3553
ref
subst
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
6820
remove
cons
78
ref
6810
ref
cons
nil
cons
6825
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6805
ref
cons
6825
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
6818
ref
cons
6811
remove
cons
nil
cons
cons
6826
def
49
ref
subst
6826
remove
121
ref
subst
3711
ref
865
ref
2638
ref
6803
ref
assume
6827
def
appThm
675
ref
appThm
4520
remove
3500
remove
subst
trans
appThm
492
ref
trans
appThm
673
ref
865
ref
6827
remove
appThm
492
ref
trans
appThm
675
remove
appThm
appThm
nil
163
ref
2276
ref
283
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3718
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
6819
ref
6825
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
6803
remove
appTerm
6828
def
betaConv
833
ref
nil
834
ref
31
ref
6828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
6818
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
6819
remove
78
ref
6805
remove
cons
839
ref
6810
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
182
ref
183
ref
6757
ref
nil
cons
cons
184
ref
6760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
6757
remove
appTerm
nil
cons
cons
31
ref
6756
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
6751
remove
nil
cons
cons
442
ref
6749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4109
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6755
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
13
ref
3320
remove
164
ref
appTerm
6829
def
appTerm
2071
remove
412
remove
appTerm
6830
def
appTerm
6831
def
absTerm
6832
def
appTerm
6833
def
absTerm
6834
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
6833
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6832
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6831
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6829
ref
nil
cons
6835
def
cons
31
ref
6830
ref
nil
cons
6836
def
cons
nil
cons
cons
nil
cons
cons
222
ref
subst
200
ref
nil
3485
remove
nil
cons
cons
5172
ref
subst
appThm
596
ref
5172
ref
appThm
2550
remove
5172
remove
subst
appThm
nil
2622
ref
443
remove
4707
remove
cons
cons
nil
cons
cons
687
ref
13
ref
3379
remove
appTerm
3377
remove
appTerm
6837
def
absTerm
6838
def
691
ref
appTerm
6839
def
betaConv
163
ref
178
ref
6838
ref
appTerm
6840
def
absTerm
6841
def
170
ref
appTerm
6842
def
betaConv
442
ref
178
ref
6841
ref
appTerm
6843
def
absTerm
6844
def
445
ref
appTerm
6845
def
betaConv
257
ref
442
ref
257
ref
163
ref
257
ref
687
ref
6837
remove
assume
sym
3380
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
3390
remove
eqMp
nil
30
ref
178
ref
6844
ref
appTerm
nil
cons
cons
31
ref
6845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6844
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6843
remove
nil
cons
cons
31
ref
6842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6841
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6840
remove
nil
cons
cons
31
ref
6839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6838
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
sym
nil
30
ref
3365
ref
3319
ref
appTerm
164
ref
appTerm
6846
def
nil
cons
6847
def
cons
31
ref
4710
ref
164
ref
appTerm
nil
cons
6848
def
cons
nil
cons
6849
def
cons
nil
cons
cons
6850
def
49
ref
subst
6850
remove
121
ref
subst
2581
ref
38
ref
4710
remove
2588
ref
appTerm
appTerm
4478
ref
164
ref
appTerm
appTerm
absTerm
6851
def
3319
ref
appTerm
betaConv
sym
596
ref
4708
remove
appThm
nil
63
ref
6847
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
6846
remove
assume
eqMp
appThm
750
ref
trans
sym
68
ref
eqMp
eqMp
182
ref
183
ref
6851
ref
nil
cons
cons
184
ref
3483
remove
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
6851
remove
appTerm
nil
cons
cons
6849
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
165
remove
cons
442
ref
6761
remove
cons
nil
cons
cons
nil
cons
cons
4109
ref
subst
eqMp
eqMp
nil
76
ref
6847
remove
cons
78
ref
6848
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
32
ref
6829
ref
appTerm
6830
ref
appTerm
nil
cons
cons
31
ref
32
ref
6830
remove
appTerm
6829
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
6836
ref
cons
31
ref
6835
ref
cons
nil
cons
cons
nil
cons
cons
6852
def
49
ref
subst
6852
remove
121
ref
subst
nil
5745
remove
78
ref
668
remove
cons
nil
cons
cons
nil
cons
cons
6853
def
92
ref
subst
6853
remove
221
remove
subst
3314
ref
refl
5785
remove
appThm
819
remove
appThm
167
remove
3468
remove
subst
trans
proveHyp
proveHyp
eqMp
nil
76
ref
6836
remove
cons
78
ref
6835
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
6834
remove
appTerm
thm
2432
remove
nil
2429
remove
thm
nil
183
ref
522
ref
32
ref
6466
ref
959
ref
appTerm
appTerm
6854
def
497
ref
504
ref
385
ref
appTerm
6855
def
525
ref
appTerm
appTerm
"Data.List.take"
const
6856
def
10
ref
162
ref
510
remove
cons
opType
6857
def
constTerm
6858
def
525
ref
appTerm
6859
def
6
ref
appTerm
6860
def
appTerm
appTerm
6861
def
absTerm
6862
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6861
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
200
ref
6466
ref
refl
6863
def
951
ref
appThm
nil
5297
ref
nil
cons
cons
5518
remove
subst
trans
appThm
6864
def
498
ref
861
ref
384
ref
appThm
6865
def
1806
ref
appThm
4540
remove
4542
remove
nil
30
ref
4538
remove
cons
31
ref
4539
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4541
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6866
def
trans
appThm
6860
ref
refl
appThm
appThm
sym
nil
5434
ref
31
ref
497
ref
3596
ref
appTerm
6860
ref
appTerm
nil
cons
6867
def
cons
nil
cons
cons
nil
cons
cons
6868
def
49
ref
subst
6868
remove
121
ref
subst
13
ref
"_29138"
162
ref
var
6869
def
497
ref
3593
ref
6869
remove
varTerm
6870
def
appTerm
appTerm
6858
ref
6870
remove
appTerm
6
ref
appTerm
appTerm
absTerm
6871
def
525
ref
appTerm
6872
def
appTerm
refl
6871
ref
164
ref
appTerm
betaConv
appThm
80
ref
6872
remove
betaConv
appThm
497
ref
3594
remove
appTerm
6858
ref
164
ref
appTerm
6873
def
6
ref
appTerm
6874
def
appTerm
refl
appThm
trans
6871
remove
refl
529
remove
assume
6875
def
appThm
eqMp
sym
498
ref
3591
remove
appThm
8
ref
138
ref
1060
ref
892
ref
6856
remove
10
ref
162
ref
894
ref
cons
opType
6876
def
constTerm
6877
def
164
ref
appTerm
1065
ref
appTerm
appTerm
143
ref
appTerm
absTerm
6878
def
1065
ref
appTerm
6879
def
betaConv
nil
906
ref
6878
ref
appTerm
6880
def
axiom
nil
30
ref
6880
remove
nil
cons
cons
31
ref
6879
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
6878
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
6881
def
subst
6882
def
appThm
549
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
78
ref
6867
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
6862
remove
appTerm
6883
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
178
ref
522
ref
32
ref
6466
ref
966
ref
appTerm
appTerm
6884
def
497
ref
504
ref
964
ref
appTerm
6885
def
525
ref
appTerm
appTerm
6859
ref
962
ref
appTerm
6886
def
appTerm
appTerm
absTerm
6887
def
appTerm
6888
def
appTerm
178
ref
522
ref
32
ref
6466
ref
975
ref
appTerm
appTerm
6889
def
497
ref
504
ref
973
ref
appTerm
6890
def
525
ref
appTerm
appTerm
6859
ref
971
ref
appTerm
6891
def
appTerm
appTerm
6892
def
absTerm
6893
def
appTerm
6894
def
appTerm
6895
def
absTerm
6896
def
appTerm
6897
def
absTerm
6898
def
appTerm
6899
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
6898
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
6897
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
6896
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
6895
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6888
remove
nil
cons
6900
def
cons
6901
def
31
ref
6894
remove
nil
cons
6902
def
cons
nil
cons
cons
nil
cons
cons
6903
def
49
ref
subst
6903
remove
121
ref
subst
nil
183
ref
6893
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6892
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
200
ref
6863
remove
1632
ref
appThm
appThm
498
ref
861
ref
1133
ref
appThm
6904
def
1806
ref
appThm
appThm
6891
ref
refl
appThm
appThm
sym
3819
remove
525
ref
appTerm
6905
def
betaConv
3822
remove
nil
3823
remove
31
ref
6905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
3824
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
6906
def
nil
30
ref
5403
remove
1531
ref
163
ref
528
ref
254
ref
appTerm
6907
def
absTerm
6908
def
appTerm
6909
def
appTerm
nil
cons
6910
def
cons
6911
def
31
ref
32
ref
6466
ref
1641
ref
appTerm
appTerm
497
ref
504
ref
1098
ref
appTerm
6912
def
525
ref
appTerm
appTerm
6891
ref
appTerm
appTerm
6913
def
nil
cons
6914
def
cons
nil
cons
6915
def
cons
nil
cons
cons
6916
def
101
ref
subst
proveHyp
6916
ref
49
ref
subst
6916
remove
121
ref
subst
nil
183
ref
163
ref
32
ref
6908
ref
170
ref
appTerm
6917
def
appTerm
6918
def
6913
ref
appTerm
6919
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6919
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
6917
ref
nil
cons
6920
def
cons
6921
def
6915
ref
cons
nil
cons
cons
6922
def
49
ref
subst
6922
remove
121
ref
subst
6917
ref
betaConv
6917
remove
assume
eqMp
6923
def
nil
30
ref
6907
ref
nil
cons
6924
def
cons
6925
def
6915
ref
cons
nil
cons
cons
6926
def
101
ref
subst
proveHyp
6926
ref
49
ref
subst
6926
remove
121
ref
subst
13
ref
"_29144"
162
ref
var
6927
def
32
ref
3365
ref
6927
remove
varTerm
6928
def
appTerm
1641
ref
appTerm
appTerm
497
ref
6912
ref
6928
ref
appTerm
appTerm
6858
ref
6928
remove
appTerm
971
ref
appTerm
appTerm
appTerm
absTerm
6929
def
525
ref
appTerm
6930
def
appTerm
refl
6931
def
6929
ref
254
ref
appTerm
betaConv
appThm
80
ref
6930
remove
betaConv
appThm
6932
def
32
ref
3365
ref
254
ref
appTerm
6933
def
1641
ref
appTerm
appTerm
497
ref
6912
ref
254
ref
appTerm
appTerm
6858
ref
254
ref
appTerm
971
ref
appTerm
6934
def
appTerm
appTerm
refl
appThm
trans
6929
remove
refl
6935
def
6907
remove
assume
6936
def
appThm
eqMp
sym
200
ref
nil
1724
remove
765
ref
cons
nil
cons
cons
3751
remove
subst
6937
def
appThm
498
ref
nil
522
ref
185
remove
cons
6938
def
163
ref
1098
ref
nil
cons
cons
nil
cons
6939
def
cons
nil
cons
cons
576
ref
subst
859
remove
2369
remove
appThm
6940
def
861
ref
1638
remove
appThm
6941
def
401
ref
appThm
appThm
trans
appThm
6934
ref
refl
appThm
appThm
sym
nil
30
ref
3366
ref
966
ref
appTerm
6942
def
nil
cons
6943
def
cons
6944
def
31
ref
497
ref
970
ref
6885
ref
170
ref
appTerm
6945
def
appTerm
appTerm
6934
ref
appTerm
6946
def
nil
cons
6947
def
cons
nil
cons
6948
def
cons
nil
cons
cons
6949
def
49
ref
subst
6949
remove
121
ref
subst
6887
ref
170
ref
appTerm
6950
def
betaConv
nil
6901
remove
31
ref
6950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
6887
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
32
ref
6942
ref
appTerm
6951
def
497
ref
6945
ref
appTerm
6858
ref
170
ref
appTerm
962
ref
appTerm
6952
def
appTerm
6953
def
appTerm
nil
cons
cons
6948
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
nil
63
ref
6943
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
6942
remove
assume
eqMp
appThm
6954
def
6953
ref
refl
appThm
nil
63
ref
6953
ref
nil
cons
6955
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
6946
remove
refl
appThm
sym
nil
30
ref
6955
ref
cons
6948
remove
cons
nil
cons
cons
6956
def
49
ref
subst
6956
remove
121
ref
subst
13
ref
"_29148"
3
ref
var
6957
def
497
ref
970
ref
6957
remove
varTerm
appTerm
appTerm
6934
ref
appTerm
absTerm
6958
def
6945
remove
appTerm
6959
def
appTerm
refl
6958
ref
6952
ref
appTerm
betaConv
appThm
80
ref
6959
remove
betaConv
appThm
497
ref
970
ref
6952
ref
appTerm
6960
def
appTerm
6934
ref
appTerm
6961
def
refl
appThm
trans
6958
remove
refl
6953
remove
assume
appThm
eqMp
sym
nil
6944
ref
31
ref
497
ref
6934
ref
appTerm
6960
ref
appTerm
nil
cons
6962
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
138
ref
890
ref
32
ref
3366
ref
1625
remove
appTerm
appTerm
6963
def
892
ref
6877
ref
254
ref
appTerm
900
ref
appTerm
appTerm
898
ref
6877
remove
170
ref
appTerm
899
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6964
def
899
ref
appTerm
6965
def
betaConv
163
ref
906
ref
6964
ref
appTerm
6966
def
absTerm
6967
def
170
ref
appTerm
6968
def
betaConv
896
ref
178
ref
6967
ref
appTerm
6969
def
absTerm
6970
def
897
ref
appTerm
6971
def
betaConv
nil
178
ref
163
ref
111
ref
896
ref
6966
ref
absTerm
6972
def
appTerm
6973
def
absTerm
6974
def
appTerm
6975
def
axiom
nil
30
ref
6975
remove
nil
cons
6976
def
cons
6977
def
31
ref
111
ref
6970
ref
appTerm
nil
cons
6978
def
cons
nil
cons
cons
nil
cons
cons
6979
def
101
ref
subst
proveHyp
6979
ref
49
ref
subst
6979
remove
121
ref
subst
nil
112
ref
6970
remove
nil
cons
cons
6980
def
nil
cons
nil
cons
cons
561
ref
subst
896
ref
nil
63
ref
6969
remove
nil
cons
6981
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
6967
remove
nil
cons
cons
6982
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
6966
remove
nil
cons
6983
def
cons
nil
cons
nil
cons
cons
69
ref
subst
6972
ref
897
ref
appTerm
6984
def
betaConv
6974
ref
170
ref
appTerm
6985
def
betaConv
nil
6977
remove
31
ref
6985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
6974
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6973
remove
nil
cons
cons
31
ref
6984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
6972
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
6976
remove
cons
78
ref
6978
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
6978
remove
cons
31
ref
6971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
6980
remove
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6981
remove
cons
31
ref
6968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6982
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6983
remove
cons
31
ref
6965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
6964
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
nil
30
ref
6962
remove
cons
31
ref
6961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
105
ref
6934
ref
nil
cons
cons
546
ref
6960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
547
ref
801
remove
subst
6986
def
subst
eqMp
6987
def
eqMp
eqMp
nil
76
ref
6955
remove
cons
78
ref
6947
remove
cons
nil
cons
6988
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6943
remove
cons
6989
def
6988
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
76
ref
6924
remove
cons
6990
def
78
ref
6914
ref
cons
nil
cons
6991
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
6920
remove
cons
6992
def
6991
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
6908
ref
1909
ref
appTerm
appTerm
6993
def
6913
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
6909
ref
appTerm
6994
def
6913
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6908
remove
nil
cons
cons
6995
def
6991
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
5434
ref
6915
remove
cons
nil
cons
cons
6996
def
49
ref
subst
6996
remove
121
ref
subst
6931
remove
"_29140"
162
ref
var
6997
def
32
ref
3365
ref
6997
remove
varTerm
6998
def
appTerm
1641
ref
appTerm
appTerm
497
ref
6912
ref
6998
ref
appTerm
appTerm
6858
ref
6998
remove
appTerm
971
ref
appTerm
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
6932
remove
32
ref
3712
ref
1641
remove
appTerm
6999
def
appTerm
7000
def
497
ref
6912
remove
164
ref
appTerm
appTerm
6873
remove
971
ref
appTerm
7001
def
appTerm
appTerm
refl
appThm
trans
6935
remove
6875
ref
appThm
eqMp
sym
7000
remove
refl
498
ref
nil
6939
ref
nil
cons
cons
542
ref
subst
appThm
1001
ref
6881
remove
subst
7002
def
appThm
549
ref
trans
appThm
nil
63
ref
6999
remove
nil
cons
cons
nil
cons
nil
cons
cons
3092
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
6991
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5438
ref
78
ref
6909
remove
nil
cons
cons
7003
def
839
ref
6914
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
76
ref
6910
remove
cons
7004
def
6991
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
6900
remove
cons
78
ref
6902
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
6883
remove
appTerm
6899
remove
appTerm
nil
cons
cons
31
ref
28
ref
4
ref
178
ref
522
ref
32
ref
6466
ref
943
ref
appTerm
7005
def
appTerm
7006
def
497
ref
504
ref
332
ref
appTerm
7007
def
525
ref
appTerm
appTerm
7008
def
6859
remove
16
ref
appTerm
7009
def
appTerm
7010
def
appTerm
7011
def
absTerm
7012
def
appTerm
7013
def
absTerm
7014
def
appTerm
7015
def
nil
cons
7016
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7014
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
7014
ref
962
ref
appTerm
betaConv
appThm
7014
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
7014
ref
16
ref
appTerm
7017
def
betaConv
7018
def
absThm
appThm
appThm
nil
1084
ref
7014
remove
nil
cons
7019
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
7020
def
nil
7015
remove
thm
257
ref
522
ref
498
ref
6865
remove
673
ref
951
ref
appThm
1806
ref
appThm
4790
remove
trans
appThm
6866
remove
trans
appThm
nil
4
ref
3615
ref
cons
nil
cons
nil
cons
cons
7021
def
138
ref
1060
ref
892
ref
"Data.List.@"
const
7022
def
10
ref
140
ref
894
remove
cons
opType
constTerm
7023
def
143
ref
appTerm
1065
ref
appTerm
appTerm
1065
ref
appTerm
absTerm
7024
def
1065
ref
appTerm
7025
def
betaConv
nil
906
ref
7024
ref
appTerm
7026
def
axiom
nil
30
ref
7026
remove
nil
cons
cons
31
ref
7025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7024
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
7027
def
subst
appThm
nil
105
ref
3615
remove
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
522
ref
497
ref
6855
remove
467
ref
959
ref
appTerm
525
ref
appTerm
appTerm
appTerm
7022
remove
511
remove
constTerm
7028
def
6
ref
appTerm
7029
def
3596
ref
appTerm
appTerm
absTerm
appTerm
7030
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
178
ref
522
ref
497
ref
6885
remove
467
ref
966
ref
appTerm
525
ref
appTerm
7031
def
appTerm
appTerm
7028
ref
962
ref
appTerm
7032
def
3596
ref
appTerm
7033
def
appTerm
absTerm
7034
def
appTerm
7035
def
appTerm
178
ref
522
ref
497
ref
6890
remove
467
ref
975
ref
appTerm
525
ref
appTerm
appTerm
appTerm
7028
ref
971
ref
appTerm
7036
def
3596
ref
appTerm
appTerm
absTerm
appTerm
7037
def
appTerm
7038
def
absTerm
7039
def
appTerm
7040
def
absTerm
7041
def
appTerm
7042
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
7041
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
7040
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
7039
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
7038
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7035
remove
nil
cons
7043
def
cons
7044
def
31
ref
7037
remove
nil
cons
7045
def
cons
nil
cons
cons
nil
cons
cons
7046
def
49
ref
subst
7046
remove
121
ref
subst
257
ref
522
ref
498
ref
6904
remove
673
ref
1632
ref
appThm
1806
ref
appThm
nil
578
ref
442
ref
1723
ref
cons
nil
cons
cons
nil
cons
cons
4664
ref
subst
trans
appThm
nil
522
ref
7031
ref
nil
cons
cons
6939
remove
cons
nil
cons
cons
576
ref
subst
6940
remove
6941
remove
7031
remove
refl
appThm
7034
ref
525
ref
appTerm
7047
def
betaConv
nil
7044
remove
31
ref
7047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
7034
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
trans
appThm
trans
trans
appThm
7021
remove
138
ref
890
ref
892
ref
7023
ref
900
ref
appTerm
1065
ref
appTerm
appTerm
898
remove
7023
ref
899
ref
appTerm
1065
ref
appTerm
appTerm
appTerm
absTerm
7048
def
899
ref
appTerm
7049
def
betaConv
896
ref
906
ref
7048
ref
appTerm
7050
def
absTerm
7051
def
897
ref
appTerm
7052
def
betaConv
1060
ref
111
ref
7051
ref
appTerm
7053
def
absTerm
7054
def
1065
ref
appTerm
7055
def
betaConv
nil
906
ref
7054
ref
appTerm
7056
def
axiom
nil
30
ref
7056
remove
nil
cons
cons
31
ref
7055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7054
remove
nil
cons
cons
1076
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7053
remove
nil
cons
cons
31
ref
7052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
7051
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7050
remove
nil
cons
cons
31
ref
7049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7048
remove
nil
cons
cons
915
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
7057
def
subst
appThm
nil
105
ref
970
remove
7033
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
eqMp
nil
76
ref
7043
remove
cons
78
ref
7045
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7030
remove
appTerm
7042
remove
appTerm
nil
cons
cons
31
ref
28
ref
4
ref
178
ref
522
ref
497
ref
7007
ref
467
ref
943
ref
appTerm
7058
def
525
ref
appTerm
appTerm
appTerm
7028
ref
16
ref
appTerm
7059
def
3596
remove
appTerm
appTerm
absTerm
7060
def
appTerm
7061
def
absTerm
7062
def
appTerm
7063
def
nil
cons
7064
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7062
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
7062
ref
962
ref
appTerm
betaConv
appThm
7062
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
7062
ref
16
ref
appTerm
7065
def
betaConv
7066
def
absThm
appThm
appThm
nil
1084
ref
7062
remove
nil
cons
7067
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
7068
def
nil
7063
remove
thm
nil
104
ref
2436
ref
28
ref
2435
ref
242
ref
331
ref
7028
ref
2436
ref
varTerm
7069
def
appTerm
7070
def
2435
ref
varTerm
7071
def
appTerm
appTerm
appTerm
467
ref
331
ref
7069
ref
appTerm
appTerm
7072
def
2469
ref
331
ref
7071
ref
appTerm
appTerm
942
ref
7069
ref
appTerm
7073
def
appTerm
appTerm
appTerm
absTerm
7074
def
appTerm
7075
def
absTerm
7076
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
2436
ref
nil
63
ref
7075
remove
nil
cons
7077
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
4
ref
242
ref
331
ref
7070
remove
16
ref
appTerm
appTerm
appTerm
7072
remove
2469
ref
332
ref
appTerm
7078
def
7073
remove
appTerm
appTerm
appTerm
7079
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
7079
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2436
ref
7079
remove
absTerm
7080
def
7069
ref
appTerm
7081
def
betaConv
7082
def
387
ref
1769
ref
7027
remove
appThm
appThm
673
ref
384
ref
appThm
7078
ref
refl
7083
def
951
remove
appThm
1787
ref
2554
remove
subst
trans
appThm
1787
ref
2299
ref
subst
trans
appThm
nil
184
ref
1785
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
nil
30
ref
242
ref
331
ref
7029
remove
16
ref
appTerm
appTerm
appTerm
467
ref
385
ref
appTerm
7078
ref
959
remove
appTerm
appTerm
appTerm
7084
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
242
ref
331
ref
7032
remove
16
ref
appTerm
7085
def
appTerm
appTerm
467
ref
964
ref
appTerm
7078
ref
966
remove
appTerm
7086
def
appTerm
7087
def
appTerm
7088
def
appTerm
242
ref
331
ref
7036
remove
16
ref
appTerm
appTerm
appTerm
467
ref
973
ref
appTerm
7078
remove
975
ref
appTerm
appTerm
appTerm
7089
def
appTerm
7090
def
absTerm
7091
def
appTerm
7092
def
absTerm
7093
def
appTerm
7094
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
7093
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
7092
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
7091
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
7090
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7088
ref
nil
cons
7095
def
cons
31
ref
7089
remove
nil
cons
7096
def
cons
nil
cons
cons
nil
cons
cons
7097
def
49
ref
subst
7097
remove
121
ref
subst
387
ref
1769
ref
7057
remove
appThm
nil
886
ref
7085
remove
nil
cons
cons
nil
cons
nil
cons
cons
1133
ref
subst
1126
remove
7088
remove
assume
appThm
trans
trans
appThm
673
ref
1133
remove
appThm
7083
remove
1632
ref
appThm
nil
522
ref
1723
remove
cons
1786
remove
cons
nil
cons
cons
2636
ref
subst
trans
appThm
appThm
sym
387
ref
nil
1135
ref
7087
remove
nil
cons
cons
nil
cons
nil
cons
cons
1170
ref
subst
appThm
673
ref
1137
remove
1170
ref
subst
appThm
nil
1135
ref
7086
ref
nil
cons
7098
def
cons
2618
ref
cons
nil
cons
cons
1170
remove
subst
2620
remove
1157
ref
7086
remove
appTerm
7099
def
refl
appThm
nil
163
ref
7099
remove
nil
cons
7100
def
cons
nil
cons
nil
cons
cons
2299
remove
subst
trans
trans
appThm
appThm
sym
6306
remove
nil
687
ref
7098
remove
cons
163
ref
1136
remove
cons
1171
remove
cons
cons
nil
cons
cons
4034
remove
subst
appThm
nil
687
ref
7100
remove
cons
163
ref
1157
remove
964
ref
appTerm
nil
cons
cons
1452
remove
cons
cons
nil
cons
cons
5754
ref
subst
trans
eqMp
eqMp
eqMp
nil
76
ref
7095
remove
cons
78
ref
7096
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7084
remove
appTerm
7094
remove
appTerm
nil
cons
cons
31
ref
28
ref
7080
ref
appTerm
nil
cons
7101
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7080
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
7080
ref
962
ref
appTerm
betaConv
appThm
7080
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
2436
ref
7082
remove
absThm
appThm
appThm
nil
1084
ref
7080
remove
nil
cons
7102
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
nil
30
ref
7101
remove
cons
31
ref
7081
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7102
remove
cons
105
ref
7069
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
7103
def
eqMp
absThm
eqMp
nil
28
ref
7076
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
32
ref
3904
ref
appTerm
3907
remove
appTerm
7104
def
absTerm
7105
def
appTerm
7106
def
absTerm
7107
def
appTerm
7108
def
absTerm
7109
def
appTerm
7110
def
absTerm
7111
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
7110
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
7109
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
7108
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7107
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
7106
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7105
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
7104
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
4158
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
7111
remove
appTerm
thm
1082
ref
887
ref
1000
ref
886
ref
80
ref
1622
remove
appThm
1635
ref
refl
appThm
nil
153
ref
1635
ref
nil
cons
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
absThm
appThm
1127
remove
trans
absThm
appThm
1128
ref
trans
sym
68
ref
eqMp
nil
150
ref
887
ref
28
ref
886
ref
3730
remove
1635
remove
appTerm
absTerm
appTerm
absTerm
appTerm
thm
4972
ref
nil
4973
remove
thm
nil
183
ref
163
ref
178
ref
522
ref
242
ref
3269
remove
5361
ref
appTerm
7112
def
appTerm
2458
ref
appTerm
7113
def
absTerm
7114
def
appTerm
7115
def
absTerm
7116
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7115
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7114
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7113
remove
nil
cons
7117
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
7112
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
2458
ref
appTerm
1941
ref
appTerm
7118
def
appTerm
7119
def
absTerm
7120
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7119
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
nil
163
ref
5361
remove
nil
cons
cons
765
ref
cons
nil
cons
cons
3072
ref
subst
38
ref
1953
ref
appTerm
7121
def
refl
2314
ref
5395
remove
appThm
2235
ref
appThm
5400
remove
2433
remove
subst
596
ref
2220
remove
5457
remove
appThm
appThm
2222
ref
5365
remove
appTerm
1941
ref
appTerm
7122
def
refl
7123
def
appThm
trans
trans
appThm
trans
appThm
80
ref
nil
163
ref
2479
ref
cons
7124
def
nil
cons
7125
def
nil
cons
cons
1967
ref
subst
appThm
38
ref
2219
remove
525
ref
appTerm
7126
def
appTerm
7127
def
refl
7128
def
1967
ref
appThm
appThm
sym
nil
30
ref
160
ref
7126
ref
appTerm
7129
def
nil
cons
7130
def
cons
7131
def
31
ref
13
ref
169
ref
4791
ref
1941
ref
appTerm
appTerm
7132
def
appTerm
7133
def
7127
ref
1958
ref
appTerm
appTerm
nil
cons
7134
def
cons
nil
cons
7135
def
cons
nil
cons
cons
7136
def
49
ref
subst
7136
remove
121
ref
subst
7133
ref
refl
7137
def
596
ref
nil
7131
ref
31
ref
13
ref
7126
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
7126
ref
nil
cons
7138
def
cons
7139
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
7140
def
appThm
7141
def
1958
ref
refl
7142
def
appThm
nil
63
ref
1958
ref
nil
cons
7143
def
cons
nil
cons
nil
cons
cons
7144
def
1318
ref
subst
trans
appThm
nil
63
ref
7132
ref
nil
cons
cons
nil
cons
nil
cons
cons
1323
ref
subst
trans
sym
nil
578
ref
2338
ref
cons
nil
cons
cons
7145
def
3376
remove
subst
nil
2292
remove
5297
ref
cons
nil
cons
cons
7146
def
5230
ref
subst
7147
def
trans
7129
remove
assume
eqMp
nil
30
ref
1531
ref
4002
ref
3826
ref
3626
ref
4005
ref
appTerm
7148
def
appTerm
7149
def
absTerm
7150
def
appTerm
7151
def
nil
cons
cons
7152
def
31
ref
160
ref
7132
remove
appTerm
7153
def
nil
cons
7154
def
cons
nil
cons
7155
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4732
ref
32
ref
7150
ref
4733
ref
appTerm
7156
def
appTerm
7153
ref
appTerm
7157
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
7157
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7156
ref
nil
cons
7158
def
cons
7155
ref
cons
nil
cons
cons
7159
def
49
ref
subst
7159
remove
121
ref
subst
7156
ref
betaConv
7156
remove
assume
eqMp
nil
30
ref
3826
remove
3626
remove
4733
ref
appTerm
7160
def
appTerm
7161
def
nil
cons
7162
def
cons
7155
remove
cons
nil
cons
cons
7163
def
101
ref
subst
proveHyp
7163
ref
49
ref
subst
7163
remove
121
ref
subst
13
ref
"_29104"
162
ref
var
7164
def
160
ref
169
ref
4791
ref
7164
remove
varTerm
appTerm
appTerm
appTerm
absTerm
7165
def
1941
ref
appTerm
7166
def
appTerm
refl
7165
ref
7160
ref
appTerm
betaConv
appThm
80
ref
7166
remove
betaConv
appThm
160
ref
169
ref
4791
remove
7160
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7165
remove
refl
7161
remove
assume
appThm
eqMp
sym
161
ref
239
ref
nil
3639
remove
4752
ref
cons
3641
remove
7125
remove
cons
cons
nil
cons
cons
5280
remove
subst
4828
ref
4836
remove
appThm
4817
ref
appThm
5282
remove
3509
remove
subst
trans
trans
appThm
234
remove
trans
appThm
236
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
7162
remove
cons
78
ref
7154
remove
cons
nil
cons
7167
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
7158
remove
cons
7167
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
7150
ref
1909
ref
appTerm
appTerm
7168
def
7153
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
7151
remove
appTerm
7169
def
7153
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7150
ref
nil
cons
cons
7170
def
7167
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
7130
ref
cons
7171
def
78
ref
7134
ref
cons
nil
cons
7172
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
7138
ref
cons
7173
def
7135
remove
cons
nil
cons
cons
7174
def
49
ref
subst
7174
remove
121
ref
subst
7137
remove
596
ref
nil
63
ref
7138
ref
cons
nil
cons
nil
cons
cons
7175
def
69
ref
subst
7126
ref
assume
7176
def
eqMp
7177
def
appThm
7178
def
7142
ref
appThm
7144
remove
749
ref
subst
trans
appThm
sym
7145
remove
4015
remove
subst
7179
def
7176
remove
eqMp
nil
30
ref
1531
ref
4002
ref
528
ref
467
ref
1941
ref
appTerm
7180
def
4006
remove
appTerm
7181
def
appTerm
7182
def
absTerm
7183
def
appTerm
7184
def
nil
cons
cons
7185
def
31
ref
7133
remove
1958
ref
appTerm
7186
def
nil
cons
7187
def
cons
nil
cons
7188
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4732
ref
32
ref
7183
ref
4733
ref
appTerm
7189
def
appTerm
7186
ref
appTerm
7190
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
7190
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7189
ref
nil
cons
7191
def
cons
7188
ref
cons
nil
cons
cons
7192
def
49
ref
subst
7192
remove
121
ref
subst
7189
ref
betaConv
7189
remove
assume
eqMp
nil
30
ref
528
ref
7180
ref
245
ref
4733
ref
appTerm
7193
def
appTerm
7194
def
appTerm
7195
def
nil
cons
7196
def
cons
7188
remove
cons
nil
cons
cons
7197
def
101
ref
subst
proveHyp
7197
ref
49
ref
subst
7197
remove
121
ref
subst
13
ref
"_29102"
162
ref
var
7198
def
13
ref
169
ref
1955
ref
2457
ref
7198
remove
varTerm
appTerm
appTerm
1941
ref
appTerm
appTerm
appTerm
1958
ref
appTerm
absTerm
7199
def
525
ref
appTerm
7200
def
appTerm
refl
7199
ref
7194
ref
appTerm
betaConv
appThm
80
ref
7200
remove
betaConv
appThm
13
ref
169
remove
1955
ref
2457
ref
7194
remove
appTerm
appTerm
1941
ref
appTerm
appTerm
appTerm
1958
remove
appTerm
refl
appThm
trans
7199
remove
refl
7195
remove
assume
appThm
eqMp
sym
80
ref
239
ref
nil
4732
ref
7193
remove
nil
cons
cons
1968
remove
cons
nil
cons
cons
522
ref
242
ref
1955
ref
2457
remove
7160
ref
appTerm
appTerm
525
ref
appTerm
appTerm
4802
ref
appTerm
absTerm
7201
def
525
ref
appTerm
7202
def
betaConv
4732
ref
178
ref
7201
ref
appTerm
7203
def
absTerm
7204
def
4733
ref
appTerm
7205
def
betaConv
163
ref
178
ref
7204
ref
appTerm
7206
def
absTerm
7207
def
170
ref
appTerm
7208
def
betaConv
257
ref
163
ref
257
ref
4732
ref
257
ref
522
ref
387
ref
4828
ref
2776
remove
4771
remove
2490
ref
subst
7209
def
appThm
appThm
1806
ref
appThm
appThm
4802
remove
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
nil
183
ref
163
ref
4834
remove
absTerm
7210
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4835
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4833
remove
eqMp
absThm
eqMp
7211
def
eqMp
nil
30
ref
178
ref
7207
ref
appTerm
nil
cons
cons
31
ref
7208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7207
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7206
remove
nil
cons
cons
31
ref
7205
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7204
remove
nil
cons
cons
184
ref
4752
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7203
remove
nil
cons
cons
31
ref
7202
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7201
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
appThm
7142
remove
appThm
sym
239
ref
nil
5281
remove
163
ref
1957
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2753
ref
subst
appThm
nil
1135
ref
2456
ref
388
remove
1957
remove
appTerm
appTerm
4733
ref
appTerm
nil
cons
cons
887
ref
7143
remove
cons
nil
cons
cons
nil
cons
cons
1329
ref
subst
trans
eqMp
eqMp
eqMp
nil
76
ref
7196
remove
cons
78
ref
7187
remove
cons
nil
cons
7212
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
7191
remove
cons
7212
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
32
ref
7183
ref
1909
ref
appTerm
appTerm
7213
def
7186
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
ref
7184
remove
appTerm
7214
def
7186
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7183
ref
nil
cons
cons
7215
def
7212
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
7139
ref
7172
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
7126
ref
appTerm
7216
def
betaConv
833
ref
nil
834
ref
31
ref
7216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
7138
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
7217
def
nil
7139
ref
78
ref
7130
remove
cons
7218
def
839
ref
7134
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
7219
def
appThm
sym
nil
30
ref
3427
ref
cons
31
ref
13
ref
7121
remove
7127
ref
7122
ref
appTerm
7220
def
appTerm
appTerm
7127
ref
1953
ref
appTerm
7221
def
appTerm
nil
cons
7222
def
cons
nil
cons
7223
def
cons
nil
cons
cons
7224
def
49
ref
subst
7224
remove
121
ref
subst
13
ref
"_29268"
1
ref
var
7225
def
13
ref
38
ref
7225
remove
varTerm
7226
def
appTerm
7220
ref
appTerm
appTerm
7127
ref
7226
remove
appTerm
appTerm
absTerm
7227
def
1953
ref
appTerm
7228
def
appTerm
refl
7229
def
7227
ref
191
ref
appTerm
betaConv
appThm
80
ref
7228
remove
betaConv
appThm
7230
def
13
ref
1314
ref
7220
ref
appTerm
appTerm
7127
ref
191
ref
appTerm
appTerm
refl
appThm
trans
7227
remove
refl
7231
def
3426
remove
assume
appThm
eqMp
sym
80
ref
nil
63
ref
7220
ref
nil
cons
cons
nil
cons
nil
cons
cons
7232
def
1318
ref
subst
appThm
7175
ref
4442
ref
subst
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
3427
ref
cons
78
ref
7222
ref
cons
nil
cons
7233
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
1954
remove
55
ref
appTerm
7234
def
nil
cons
7235
def
cons
7223
remove
cons
nil
cons
cons
7236
def
49
ref
subst
7236
remove
121
ref
subst
7229
remove
"_29266"
1
ref
var
7237
def
13
ref
38
ref
7237
remove
varTerm
7238
def
appTerm
7220
ref
appTerm
appTerm
7127
ref
7238
remove
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
7230
remove
13
ref
745
ref
7220
ref
appTerm
appTerm
7127
ref
55
ref
appTerm
appTerm
refl
appThm
trans
7231
remove
7234
remove
assume
appThm
eqMp
sym
80
ref
7232
remove
749
ref
subst
appThm
7175
remove
4001
ref
subst
appThm
sym
nil
7131
ref
31
ref
13
ref
7220
remove
appTerm
7126
ref
appTerm
nil
cons
7239
def
cons
nil
cons
7240
def
cons
nil
cons
cons
7241
def
49
ref
subst
7241
remove
121
ref
subst
80
ref
7141
ref
7123
ref
appThm
nil
63
ref
7122
ref
nil
cons
7242
def
cons
nil
cons
nil
cons
cons
7243
def
1318
ref
subst
trans
appThm
7140
remove
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
7171
ref
78
ref
7239
ref
cons
nil
cons
7244
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
7173
ref
7240
remove
cons
nil
cons
cons
7245
def
49
ref
subst
7245
remove
121
ref
subst
80
ref
7178
ref
7123
ref
appThm
7243
ref
749
ref
subst
trans
appThm
7177
ref
appThm
7243
ref
4202
remove
subst
7246
def
trans
sym
1939
ref
32
ref
7126
remove
appTerm
13
ref
7122
remove
appTerm
55
ref
appTerm
appTerm
7247
def
absTerm
7248
def
1941
ref
appTerm
7249
def
betaConv
163
ref
178
ref
1939
ref
2281
ref
13
ref
2222
ref
5364
remove
170
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
55
ref
appTerm
appTerm
absTerm
appTerm
absTerm
7250
def
525
ref
appTerm
7251
def
betaConv
153
ref
178
ref
163
ref
178
ref
1939
ref
2281
ref
13
ref
2222
remove
3592
remove
3178
ref
appTerm
170
ref
appTerm
appTerm
1941
ref
appTerm
appTerm
3178
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7252
def
55
ref
appTerm
7253
def
betaConv
138
ref
nil
111
ref
116
ref
178
ref
163
ref
178
ref
1939
ref
2281
remove
266
ref
2256
remove
3606
remove
appTerm
1941
ref
appTerm
appTerm
117
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
nil
30
ref
150
ref
7252
ref
appTerm
nil
cons
cons
31
ref
7253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7252
remove
nil
cons
cons
5377
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
7250
ref
appTerm
nil
cons
cons
31
ref
7251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7250
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
7248
ref
appTerm
nil
cons
cons
31
ref
7249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7248
remove
nil
cons
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7247
remove
nil
cons
cons
31
ref
7242
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
7177
remove
appThm
7246
remove
appThm
7243
ref
1398
ref
subst
trans
appThm
7123
remove
appThm
7243
remove
2562
remove
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
nil
7139
ref
7244
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
7217
ref
nil
7139
ref
7218
ref
839
ref
7239
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
76
ref
7235
remove
cons
7254
def
7233
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
924
remove
1953
remove
appTerm
7255
def
betaConv
927
remove
nil
928
remove
31
ref
7255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
929
remove
3298
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
7254
remove
78
ref
3427
remove
cons
839
ref
7222
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
7120
remove
appTerm
nil
cons
cons
31
ref
7117
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
7124
ref
442
ref
7112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7116
remove
appTerm
thm
4182
remove
nil
4183
remove
thm
1082
ref
1188
ref
1082
ref
1187
ref
257
ref
1135
ref
80
ref
4180
remove
appThm
4232
remove
appThm
4248
remove
trans
absThm
appThm
278
ref
trans
absThm
appThm
1128
ref
trans
absThm
appThm
1128
remove
trans
sym
68
ref
eqMp
nil
150
ref
1188
ref
150
ref
1187
ref
178
ref
1135
ref
13
ref
3773
remove
3192
remove
appTerm
appTerm
4226
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
1939
ref
3268
remove
2891
ref
appTerm
7256
def
absTerm
7257
def
appTerm
7258
def
absTerm
7259
def
appTerm
7260
def
absTerm
7261
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7260
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7259
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7258
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7257
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7256
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3072
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7261
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
1939
ref
178
ref
522
ref
13
ref
7118
remove
appTerm
7221
ref
appTerm
7262
def
absTerm
7263
def
appTerm
7264
def
absTerm
7265
def
appTerm
7266
def
absTerm
7267
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7266
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7265
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7264
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7263
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7262
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
7219
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7267
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
1939
ref
3470
remove
3321
ref
appTerm
7268
def
absTerm
7269
def
appTerm
7270
def
absTerm
7271
def
appTerm
7272
def
absTerm
7273
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7272
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7271
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7270
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7269
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7268
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3466
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7273
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
2887
ref
appTerm
525
ref
appTerm
7274
def
appTerm
2882
remove
6604
ref
appTerm
2458
ref
appTerm
7275
def
appTerm
7276
def
absTerm
7277
def
appTerm
7278
def
absTerm
7279
def
appTerm
7280
def
absTerm
7281
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7280
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7279
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7278
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7277
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7276
remove
nil
cons
7282
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
7274
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
7275
ref
appTerm
1941
ref
appTerm
appTerm
7283
def
absTerm
7284
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7283
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
5597
ref
7219
ref
subst
7128
ref
3072
ref
appThm
trans
appThm
nil
7124
ref
442
ref
6604
ref
nil
cons
7285
def
cons
7286
def
nil
cons
7287
def
cons
7288
def
nil
cons
cons
7289
def
3072
remove
subst
596
ref
5602
ref
7219
ref
subst
7290
def
appThm
7219
ref
appThm
trans
appThm
sym
nil
7131
ref
31
ref
13
ref
7127
ref
2891
remove
appTerm
appTerm
38
ref
7127
ref
2890
ref
appTerm
7291
def
appTerm
7221
ref
appTerm
appTerm
nil
cons
7292
def
cons
nil
cons
7293
def
cons
nil
cons
cons
7294
def
49
ref
subst
7294
remove
121
ref
subst
80
ref
7141
ref
2911
ref
appThm
2923
ref
1318
ref
subst
trans
appThm
596
ref
7141
ref
2890
remove
refl
7295
def
appThm
3016
ref
1318
ref
subst
trans
7296
def
appThm
7141
ref
3073
ref
appThm
3074
remove
trans
7297
def
appThm
647
remove
1318
ref
subst
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
7171
ref
78
ref
7292
ref
cons
nil
cons
7298
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
7173
ref
7293
remove
cons
nil
cons
cons
7299
def
49
ref
subst
7299
remove
121
ref
subst
80
ref
7178
ref
2911
remove
appThm
2923
remove
749
ref
subst
trans
appThm
596
ref
7178
ref
7295
remove
appThm
3016
remove
749
ref
subst
trans
7300
def
appThm
7178
ref
3073
remove
appThm
2967
remove
749
ref
subst
trans
7301
def
appThm
appThm
nil
153
ref
2922
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
7139
ref
7298
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
7217
ref
nil
7139
ref
7218
ref
839
ref
7292
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
7284
remove
appTerm
nil
cons
cons
31
ref
7282
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
7275
remove
nil
cons
cons
442
ref
7274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7281
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
3319
ref
appTerm
525
ref
appTerm
7302
def
appTerm
3314
remove
6604
ref
appTerm
2458
ref
appTerm
7303
def
appTerm
7304
def
absTerm
7305
def
appTerm
7306
def
absTerm
7307
def
appTerm
7308
def
absTerm
7309
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7308
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7307
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7306
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7305
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7304
remove
nil
cons
7310
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
1939
ref
13
ref
1791
ref
7302
ref
appTerm
1941
ref
appTerm
appTerm
1791
ref
7303
ref
appTerm
1941
ref
appTerm
appTerm
7311
def
absTerm
7312
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7311
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
5610
ref
7219
ref
subst
7128
remove
3466
ref
appThm
trans
appThm
7289
remove
3466
remove
subst
134
ref
7290
remove
appThm
7219
remove
appThm
trans
appThm
sym
nil
7131
remove
31
ref
13
ref
7127
remove
3321
remove
appTerm
appTerm
19
ref
7291
remove
appTerm
7221
remove
appTerm
appTerm
nil
cons
7313
def
cons
nil
cons
7314
def
cons
nil
cons
cons
7315
def
49
ref
subst
7315
remove
121
ref
subst
80
ref
7141
remove
3341
ref
appThm
3352
ref
1318
ref
subst
trans
appThm
134
ref
7296
remove
appThm
7297
remove
appThm
2081
ref
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
7171
remove
78
ref
7313
ref
cons
nil
cons
7316
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
7173
remove
7314
remove
cons
nil
cons
cons
7317
def
49
ref
subst
7317
remove
121
ref
subst
80
ref
7178
remove
3341
remove
appThm
3352
remove
749
ref
subst
trans
appThm
134
ref
7300
remove
appThm
7301
remove
appThm
appThm
nil
153
ref
3351
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
7139
ref
7316
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
7217
remove
nil
7139
remove
7218
remove
839
ref
7313
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
7312
remove
appTerm
nil
cons
cons
31
ref
7310
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
7303
remove
nil
cons
cons
442
ref
7302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3264
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7309
remove
appTerm
thm
6707
ref
nil
6708
remove
thm
nil
183
ref
163
ref
178
ref
4732
ref
178
ref
522
ref
32
ref
3395
ref
4735
ref
appTerm
7318
def
appTerm
3365
ref
463
ref
1980
ref
appTerm
7319
def
appTerm
4733
ref
appTerm
7320
def
appTerm
7321
def
absTerm
7322
def
appTerm
7323
def
absTerm
7324
def
appTerm
7325
def
absTerm
7326
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7325
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7324
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4732
ref
nil
63
ref
7323
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7322
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7321
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7318
ref
nil
cons
7327
def
cons
31
ref
7320
remove
nil
cons
7328
def
cons
nil
cons
7329
def
cons
nil
cons
cons
7330
def
49
ref
subst
7330
remove
121
ref
subst
nil
30
ref
160
ref
5803
ref
appTerm
7331
def
nil
cons
7332
def
cons
7333
def
7329
ref
cons
nil
cons
cons
7334
def
49
ref
subst
7334
remove
121
ref
subst
nil
687
ref
4752
remove
cons
7335
def
163
ref
7319
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
687
ref
13
ref
4045
ref
appTerm
3365
ref
693
remove
525
ref
appTerm
appTerm
3969
remove
525
ref
appTerm
appTerm
7336
def
appTerm
7337
def
absTerm
7338
def
691
ref
appTerm
7339
def
betaConv
163
ref
178
ref
7338
ref
appTerm
7340
def
absTerm
7341
def
170
ref
appTerm
7342
def
betaConv
257
ref
163
ref
257
ref
687
ref
7337
remove
assume
sym
13
ref
7336
remove
appTerm
4045
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
4052
remove
525
ref
appTerm
7343
def
betaConv
4055
remove
nil
4056
remove
31
ref
7343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4057
remove
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
30
ref
178
ref
7341
ref
appTerm
nil
cons
cons
31
ref
7342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7341
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7340
remove
nil
cons
cons
31
ref
7339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7338
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
sym
6655
remove
32
ref
7331
remove
appTerm
7344
def
242
ref
463
ref
2470
remove
6656
ref
appTerm
appTerm
appTerm
467
ref
7319
remove
appTerm
7345
def
6656
remove
appTerm
appTerm
appTerm
absTerm
7346
def
525
ref
appTerm
7347
def
betaConv
4934
remove
1980
ref
appTerm
7348
def
betaConv
4972
remove
nil
4974
remove
31
ref
7348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
4975
remove
184
ref
2055
ref
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
178
ref
7346
ref
appTerm
nil
cons
cons
31
ref
7347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7346
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7344
remove
242
ref
463
ref
2471
ref
appTerm
7349
def
appTerm
7345
remove
525
ref
appTerm
7350
def
appTerm
7351
def
appTerm
nil
cons
cons
31
ref
3365
ref
7350
ref
appTerm
4735
ref
appTerm
7352
def
nil
cons
7353
def
cons
nil
cons
7354
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
161
ref
nil
7333
remove
31
ref
5838
remove
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
5819
ref
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
appThm
7351
ref
refl
appThm
nil
63
ref
7351
ref
nil
cons
7355
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
7352
remove
refl
appThm
sym
nil
30
ref
7355
ref
cons
7354
remove
cons
nil
cons
cons
7356
def
49
ref
subst
7356
remove
121
ref
subst
13
ref
"_29086"
162
ref
var
7357
def
3365
ref
7357
remove
varTerm
appTerm
4735
ref
appTerm
absTerm
7358
def
7350
remove
appTerm
7359
def
appTerm
refl
7358
ref
7349
ref
appTerm
betaConv
appThm
80
ref
7359
remove
betaConv
appThm
3365
ref
7349
ref
appTerm
7360
def
4735
ref
appTerm
7361
def
refl
appThm
trans
7358
remove
refl
7351
remove
assume
sym
appThm
eqMp
sym
2581
ref
38
ref
7360
ref
2588
ref
appTerm
appTerm
4478
ref
4735
ref
appTerm
7362
def
appTerm
absTerm
7363
def
464
ref
appTerm
betaConv
sym
38
ref
7360
remove
464
remove
appTerm
7364
def
appTerm
refl
nil
63
ref
7327
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
7318
remove
assume
eqMp
appThm
nil
63
ref
7364
remove
nil
cons
7365
def
cons
nil
cons
nil
cons
cons
4001
ref
subst
trans
sym
nil
2622
ref
2581
ref
2478
ref
cons
nil
cons
cons
nil
cons
cons
687
ref
13
ref
4478
ref
691
ref
appTerm
7366
def
appTerm
3365
ref
2468
ref
2588
ref
appTerm
appTerm
2468
ref
691
ref
appTerm
appTerm
7367
def
appTerm
7368
def
absTerm
7369
def
691
ref
appTerm
7370
def
betaConv
2581
ref
178
ref
7369
ref
appTerm
7371
def
absTerm
7372
def
2588
ref
appTerm
7373
def
betaConv
257
ref
2581
ref
257
ref
687
ref
7368
remove
assume
sym
13
ref
7367
remove
appTerm
7366
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
6535
remove
2458
ref
appTerm
7374
def
betaConv
6538
remove
nil
6539
remove
31
ref
7374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6540
remove
5341
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
nil
30
ref
178
ref
7372
ref
appTerm
nil
cons
cons
31
ref
7373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7372
remove
nil
cons
cons
2602
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7371
remove
nil
cons
cons
31
ref
7370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7369
remove
nil
cons
cons
710
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
sym
4481
remove
2468
ref
170
ref
appTerm
refl
appThm
5811
remove
3996
ref
subst
trans
sym
68
ref
eqMp
eqMp
nil
30
ref
3365
ref
2471
ref
appTerm
170
ref
appTerm
nil
cons
cons
31
ref
7365
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1292
remove
1215
ref
2478
ref
cons
nil
cons
cons
nil
cons
cons
5181
ref
subst
eqMp
eqMp
eqMp
182
ref
183
ref
7363
ref
nil
cons
cons
3582
remove
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
7363
remove
appTerm
nil
cons
cons
31
ref
7361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
4780
remove
cons
7375
def
442
ref
7349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4109
ref
subst
eqMp
eqMp
eqMp
nil
76
ref
7355
remove
cons
78
ref
7353
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
7332
ref
cons
78
ref
7328
ref
cons
nil
cons
7376
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5805
remove
7329
remove
cons
nil
cons
cons
7377
def
49
ref
subst
7377
remove
121
ref
subst
3711
ref
865
ref
5810
remove
appThm
492
remove
trans
appThm
4817
ref
appThm
nil
5295
remove
nil
cons
nil
cons
cons
3718
remove
subst
trans
sym
68
ref
eqMp
eqMp
nil
5819
ref
7376
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
ref
5803
remove
appTerm
7378
def
betaConv
833
ref
nil
834
ref
31
ref
7378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
ref
153
ref
5804
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
5819
remove
78
ref
7332
remove
cons
839
ref
7328
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
76
ref
7327
remove
cons
7376
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
7379
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7326
remove
appTerm
thm
nil
183
ref
163
ref
4788
remove
absTerm
7380
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
4789
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4787
remove
eqMp
absThm
eqMp
nil
178
ref
7380
remove
appTerm
thm
nil
183
ref
1215
ref
178
ref
1213
ref
178
ref
522
ref
6664
ref
absTerm
7381
def
appTerm
7382
def
absTerm
7383
def
appTerm
7384
def
absTerm
7385
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1215
ref
nil
63
ref
7384
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7383
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1213
ref
nil
63
ref
7382
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7381
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
6664
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
6695
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7385
remove
appTerm
thm
7211
remove
nil
178
ref
7210
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
6521
remove
2468
ref
2469
ref
286
remove
1792
ref
525
ref
appTerm
7386
def
appTerm
7387
def
appTerm
525
ref
appTerm
7388
def
appTerm
7389
def
appTerm
7390
def
absTerm
7391
def
appTerm
7392
def
absTerm
7393
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7392
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7391
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7390
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
2581
ref
7389
ref
nil
cons
cons
2587
remove
cons
nil
cons
cons
2603
remove
subst
sym
2604
remove
467
ref
7389
remove
appTerm
2591
remove
appTerm
refl
appThm
sym
2606
ref
nil
687
ref
2601
remove
cons
163
ref
7388
ref
nil
cons
cons
2480
remove
cons
cons
nil
cons
cons
2666
ref
subst
5809
ref
467
ref
7388
remove
appTerm
refl
2608
ref
5723
ref
525
ref
appTerm
7394
def
betaConv
5725
ref
170
ref
appTerm
7395
def
betaConv
5722
remove
nil
30
ref
5726
remove
nil
cons
cons
31
ref
7395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5725
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
5724
remove
nil
cons
cons
31
ref
7394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
5723
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
nil
1213
ref
1150
remove
1969
remove
appTerm
nil
cons
cons
1215
ref
7387
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1213
ref
242
ref
6697
remove
appTerm
6696
remove
appTerm
7396
def
absTerm
7397
def
1219
remove
appTerm
7398
def
betaConv
1215
ref
178
ref
7397
ref
appTerm
7399
def
absTerm
7400
def
1217
remove
appTerm
7401
def
betaConv
522
ref
178
ref
7400
ref
appTerm
7402
def
absTerm
7403
def
525
ref
appTerm
7404
def
betaConv
257
ref
522
ref
257
ref
1215
ref
257
ref
1213
ref
7396
remove
assume
sym
6698
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
6707
remove
eqMp
nil
30
ref
178
ref
7403
ref
appTerm
nil
cons
cons
31
ref
7404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7403
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7402
remove
nil
cons
cons
31
ref
7401
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7400
remove
nil
cons
cons
1252
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7399
remove
nil
cons
cons
31
ref
7398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7397
remove
nil
cons
cons
1253
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
trans
appThm
trans
appThm
sym
2606
ref
5809
ref
2638
ref
467
ref
7387
remove
appTerm
refl
2608
remove
4862
remove
subst
appThm
nil
1135
ref
2607
remove
cons
887
ref
7386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2696
remove
subst
trans
appThm
1806
ref
appThm
appThm
appThm
sym
2606
remove
5809
remove
2638
ref
1609
ref
nil
1939
ref
574
ref
cons
nil
cons
nil
cons
cons
1967
remove
subst
appThm
2126
remove
appThm
2056
remove
2747
remove
subst
trans
appThm
1806
ref
appThm
appThm
2541
ref
trans
appThm
2036
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7393
remove
appTerm
thm
nil
104
ref
4
ref
178
ref
522
ref
242
ref
2456
ref
332
ref
appTerm
525
ref
appTerm
appTerm
7405
def
331
ref
513
remove
3365
ref
943
ref
appTerm
525
ref
appTerm
7406
def
appTerm
7407
def
16
ref
appTerm
7009
ref
appTerm
7408
def
appTerm
appTerm
7409
def
absTerm
7410
def
appTerm
7411
def
absTerm
7412
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
7411
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7410
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7409
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
"_29176"
3
ref
var
7413
def
7405
ref
331
ref
7413
remove
varTerm
appTerm
appTerm
absTerm
7414
def
7408
remove
appTerm
betaConv
appThm
596
ref
32
ref
7406
ref
appTerm
7415
def
refl
7416
def
7414
ref
16
ref
appTerm
betaConv
appThm
appThm
32
ref
160
ref
7406
ref
appTerm
7417
def
appTerm
7418
def
refl
7419
def
7414
ref
7009
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
3
ref
var
7009
ref
nil
cons
cons
7420
def
"_482"
3
ref
var
7421
def
106
remove
cons
1697
remove
7406
ref
nil
cons
7422
def
cons
nil
cons
7423
def
cons
cons
nil
cons
cons
nil
"_484"
14
remove
var
7424
def
7414
remove
nil
cons
cons
nil
cons
nil
cons
cons
547
remove
1718
remove
subst
7425
def
subst
subst
eqMp
sym
nil
30
ref
7422
ref
cons
7426
def
31
ref
7405
ref
332
ref
appTerm
7427
def
nil
cons
7428
def
cons
nil
cons
cons
nil
cons
cons
7429
def
49
ref
subst
7429
remove
121
ref
subst
1787
ref
5837
remove
subst
sym
163
ref
38
ref
3760
ref
170
ref
appTerm
appTerm
3366
remove
525
ref
appTerm
appTerm
absTerm
7430
def
943
ref
appTerm
betaConv
sym
596
ref
4908
remove
appThm
nil
63
ref
7422
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
7406
ref
assume
7431
def
eqMp
appThm
750
ref
trans
sym
68
ref
eqMp
eqMp
182
ref
183
ref
7430
ref
nil
cons
cons
2218
remove
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
7430
remove
appTerm
nil
cons
cons
31
ref
3760
remove
525
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
574
remove
cons
4885
remove
cons
nil
cons
cons
4109
ref
subst
eqMp
7432
def
eqMp
eqMp
nil
76
ref
7422
remove
cons
7433
def
78
ref
7428
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
7415
ref
7427
remove
appTerm
nil
cons
cons
31
ref
7418
ref
7405
remove
331
ref
7009
ref
appTerm
appTerm
7434
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
7417
remove
nil
cons
7435
def
cons
7436
def
31
ref
7434
ref
nil
cons
7437
def
cons
nil
cons
7438
def
cons
nil
cons
cons
7439
def
49
ref
subst
7439
remove
121
ref
subst
nil
442
ref
2217
remove
cons
7440
def
579
remove
cons
nil
cons
cons
3419
remove
subst
161
ref
nil
7436
ref
31
ref
13
ref
7406
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
7433
ref
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
236
ref
trans
trans
sym
68
ref
eqMp
nil
30
ref
407
remove
525
ref
appTerm
943
ref
appTerm
nil
cons
cons
31
ref
7005
remove
nil
cons
7441
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
2266
remove
5297
ref
cons
nil
cons
cons
4165
remove
subst
eqMp
7442
def
nil
30
ref
7441
remove
cons
7443
def
7438
remove
cons
nil
cons
cons
101
ref
subst
522
ref
7006
ref
7434
remove
appTerm
absTerm
7444
def
525
ref
appTerm
7445
def
betaConv
4
ref
178
ref
7444
ref
appTerm
7446
def
absTerm
7447
def
16
ref
appTerm
7448
def
betaConv
7449
def
nil
183
ref
522
ref
6854
ref
242
ref
2456
ref
385
ref
appTerm
7450
def
525
ref
appTerm
appTerm
331
ref
6860
remove
appTerm
appTerm
7451
def
appTerm
7452
def
absTerm
7453
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7452
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
6864
ref
7451
ref
refl
appThm
sym
nil
5434
ref
31
ref
7451
remove
nil
cons
7454
def
cons
nil
cons
cons
nil
cons
cons
7455
def
49
ref
subst
7455
remove
121
ref
subst
13
ref
"_29182"
162
ref
var
7456
def
242
ref
7450
ref
7456
remove
varTerm
7457
def
appTerm
appTerm
331
ref
6858
ref
7457
remove
appTerm
6
ref
appTerm
appTerm
appTerm
absTerm
7458
def
525
ref
appTerm
7459
def
appTerm
refl
7458
ref
164
ref
appTerm
betaConv
appThm
80
ref
7459
remove
betaConv
appThm
242
ref
7450
remove
164
ref
appTerm
appTerm
331
ref
6874
remove
appTerm
appTerm
refl
appThm
trans
7458
remove
refl
6875
ref
appThm
eqMp
sym
387
ref
nil
163
ref
385
ref
nil
cons
7460
def
cons
nil
cons
nil
cons
cons
7461
def
2563
ref
subst
appThm
1769
ref
6882
remove
appThm
384
ref
trans
appThm
820
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
78
ref
7454
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
7453
remove
appTerm
7462
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
178
ref
522
ref
6884
ref
242
ref
2456
ref
964
ref
appTerm
7463
def
525
ref
appTerm
appTerm
331
ref
6886
remove
appTerm
appTerm
appTerm
absTerm
7464
def
appTerm
7465
def
appTerm
178
ref
522
ref
6889
ref
242
ref
2456
ref
973
ref
appTerm
7466
def
525
ref
appTerm
appTerm
331
ref
6891
remove
appTerm
appTerm
appTerm
7467
def
absTerm
7468
def
appTerm
7469
def
appTerm
7470
def
absTerm
7471
def
appTerm
7472
def
absTerm
7473
def
appTerm
7474
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
7473
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
7472
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
7471
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
7470
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7465
remove
nil
cons
7475
def
cons
7476
def
31
ref
7469
remove
nil
cons
7477
def
cons
nil
cons
cons
nil
cons
cons
7478
def
49
ref
subst
7478
remove
121
ref
subst
nil
183
ref
7468
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7467
ref
nil
cons
7479
def
cons
nil
cons
nil
cons
cons
69
ref
subst
6906
ref
nil
6911
ref
31
ref
7479
ref
cons
nil
cons
7480
def
cons
nil
cons
cons
7481
def
101
ref
subst
proveHyp
7481
ref
49
ref
subst
7481
remove
121
ref
subst
nil
183
ref
163
ref
6918
ref
7467
ref
appTerm
7482
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7482
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
6921
ref
7480
ref
cons
nil
cons
cons
7483
def
49
ref
subst
7483
remove
121
ref
subst
6923
ref
nil
6925
ref
7480
ref
cons
nil
cons
cons
7484
def
101
ref
subst
proveHyp
7484
ref
49
ref
subst
7484
remove
121
ref
subst
13
ref
"_29188"
162
ref
var
7485
def
32
ref
3365
ref
7485
remove
varTerm
7486
def
appTerm
975
ref
appTerm
appTerm
242
ref
7466
ref
7486
ref
appTerm
appTerm
331
ref
6858
ref
7486
remove
appTerm
971
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7487
def
525
ref
appTerm
7488
def
appTerm
refl
7489
def
7487
remove
254
ref
appTerm
betaConv
appThm
80
ref
7488
remove
betaConv
appThm
7490
def
32
ref
6933
ref
975
ref
appTerm
appTerm
7491
def
242
ref
7466
ref
254
ref
appTerm
appTerm
331
ref
6934
remove
appTerm
7492
def
appTerm
appTerm
refl
appThm
trans
7468
remove
refl
7493
def
6936
ref
appThm
eqMp
sym
200
ref
6933
remove
refl
1632
remove
appThm
6937
remove
trans
appThm
7494
def
387
ref
nil
6938
remove
989
remove
cons
nil
cons
cons
7495
def
2753
remove
subst
1609
remove
2370
remove
appThm
3309
remove
1639
ref
appThm
401
ref
appThm
appThm
trans
appThm
7492
ref
refl
7496
def
appThm
appThm
sym
nil
6944
ref
31
ref
242
ref
1097
ref
7463
remove
170
ref
appTerm
7497
def
appTerm
appTerm
7492
ref
appTerm
7498
def
nil
cons
7499
def
cons
nil
cons
7500
def
cons
nil
cons
cons
7501
def
49
ref
subst
7501
remove
121
ref
subst
7464
ref
170
ref
appTerm
7502
def
betaConv
nil
7476
remove
31
ref
7502
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
7464
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6951
ref
242
ref
7497
ref
appTerm
331
ref
6952
ref
appTerm
7503
def
appTerm
7504
def
appTerm
nil
cons
cons
7500
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
6954
ref
7504
ref
refl
appThm
nil
63
ref
7504
ref
nil
cons
7505
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
7498
remove
refl
appThm
sym
nil
30
ref
7505
ref
cons
7500
remove
cons
nil
cons
cons
7506
def
49
ref
subst
7506
remove
121
ref
subst
13
ref
"_29192"
162
ref
var
7507
def
242
ref
1097
ref
7507
remove
varTerm
appTerm
appTerm
7492
ref
appTerm
absTerm
7508
def
7497
remove
appTerm
7509
def
appTerm
refl
7508
ref
7503
ref
appTerm
betaConv
appThm
80
ref
7509
remove
betaConv
appThm
242
ref
1097
remove
7503
remove
appTerm
appTerm
7492
remove
appTerm
refl
appThm
trans
7508
remove
refl
7504
remove
assume
appThm
eqMp
sym
387
ref
nil
886
ref
6952
remove
nil
cons
cons
nil
cons
nil
cons
cons
886
ref
242
ref
1098
remove
appTerm
973
ref
appTerm
7510
def
absTerm
7511
def
962
ref
appTerm
7512
def
betaConv
887
ref
28
ref
7511
ref
appTerm
7513
def
absTerm
7514
def
969
remove
appTerm
7515
def
betaConv
1082
ref
887
ref
1000
ref
886
ref
7510
remove
assume
sym
1099
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1131
remove
eqMp
nil
30
ref
150
ref
7514
ref
appTerm
nil
cons
cons
31
ref
7515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7514
remove
nil
cons
cons
1017
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7513
remove
nil
cons
cons
31
ref
7512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7511
remove
nil
cons
cons
1094
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
7496
remove
appThm
sym
1769
ref
6987
remove
appThm
eqMp
eqMp
eqMp
nil
76
ref
7505
remove
cons
78
ref
7499
remove
cons
nil
cons
7516
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
6989
ref
7516
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
6990
ref
78
ref
7479
ref
cons
nil
cons
7517
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6992
ref
7517
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
6993
ref
7467
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
6994
ref
7467
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6995
ref
7517
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
5434
ref
7480
remove
cons
nil
cons
cons
7518
def
49
ref
subst
7518
remove
121
ref
subst
7489
remove
"_29184"
162
ref
var
7519
def
32
ref
3365
ref
7519
remove
varTerm
7520
def
appTerm
975
ref
appTerm
appTerm
242
ref
7466
ref
7520
ref
appTerm
appTerm
331
ref
6858
remove
7520
remove
appTerm
971
ref
appTerm
appTerm
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
7490
remove
32
ref
3712
remove
975
ref
appTerm
7521
def
appTerm
7522
def
242
ref
7466
remove
164
ref
appTerm
appTerm
331
ref
7001
remove
appTerm
appTerm
appTerm
refl
appThm
trans
7493
remove
6875
ref
appThm
eqMp
sym
7522
ref
refl
7523
def
387
ref
990
ref
2563
remove
subst
appThm
1769
ref
7002
remove
appThm
384
remove
trans
appThm
820
remove
trans
appThm
nil
63
ref
7521
remove
nil
cons
cons
nil
cons
nil
cons
cons
3092
remove
subst
7524
def
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
7517
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5438
ref
7003
ref
839
ref
7479
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
7004
ref
7517
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
7475
remove
cons
78
ref
7477
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7462
remove
appTerm
7474
remove
appTerm
nil
cons
cons
31
ref
28
ref
7447
ref
appTerm
nil
cons
7525
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7447
ref
6
ref
appTerm
betaConv
appThm
1082
ref
887
ref
1000
ref
886
ref
200
ref
7447
ref
962
ref
appTerm
betaConv
appThm
7447
ref
971
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
ref
4
ref
7449
remove
absThm
appThm
appThm
nil
1084
ref
7447
remove
nil
cons
7526
def
cons
nil
cons
nil
cons
cons
1090
ref
subst
eqMp
eqMp
nil
30
ref
7525
remove
cons
31
ref
7448
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7526
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7446
remove
nil
cons
cons
31
ref
7445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7444
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
76
ref
7435
remove
cons
7527
def
78
ref
7437
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
28
ref
7412
remove
appTerm
thm
nil
104
ref
4
ref
178
ref
522
ref
242
ref
1955
ref
332
remove
appTerm
525
ref
appTerm
appTerm
7528
def
294
remove
7406
remove
appTerm
164
ref
appTerm
331
ref
"Data.List.drop"
const
7529
def
6857
remove
constTerm
7530
def
525
ref
appTerm
7531
def
16
ref
appTerm
appTerm
7532
def
appTerm
7533
def
appTerm
7534
def
absTerm
7535
def
appTerm
7536
def
absTerm
7537
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
7536
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7535
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7534
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
"_29158"
162
ref
var
7538
def
7528
ref
7538
remove
varTerm
appTerm
absTerm
7539
def
7533
remove
appTerm
betaConv
appThm
596
ref
7416
ref
7539
ref
164
ref
appTerm
betaConv
appThm
appThm
7419
ref
7539
ref
7532
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1694
remove
7532
ref
nil
cons
cons
1696
remove
7423
ref
cons
cons
nil
cons
cons
nil
1698
remove
7539
remove
nil
cons
cons
nil
cons
nil
cons
cons
1719
remove
subst
subst
eqMp
sym
nil
7426
ref
31
ref
7528
ref
164
ref
appTerm
7540
def
nil
cons
7541
def
cons
nil
cons
cons
nil
cons
cons
7542
def
49
ref
subst
7542
remove
121
ref
subst
1787
remove
5836
remove
subst
sym
7432
remove
eqMp
eqMp
nil
7433
ref
78
ref
7541
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
7415
ref
7540
remove
appTerm
nil
cons
cons
31
ref
7418
ref
7528
remove
7532
remove
appTerm
7543
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
7436
ref
31
ref
7543
ref
nil
cons
7544
def
cons
nil
cons
7545
def
cons
nil
cons
cons
7546
def
49
ref
subst
7546
remove
121
ref
subst
7442
ref
nil
7443
ref
7545
remove
cons
nil
cons
cons
101
ref
subst
522
ref
7006
remove
7543
remove
appTerm
absTerm
7547
def
525
ref
appTerm
7548
def
betaConv
4
ref
178
ref
7547
ref
appTerm
7549
def
absTerm
7550
def
16
ref
appTerm
7551
def
betaConv
7552
def
nil
183
ref
522
ref
6854
remove
242
ref
1955
ref
385
remove
appTerm
7553
def
525
ref
appTerm
appTerm
331
ref
7531
ref
6
ref
appTerm
appTerm
appTerm
7554
def
appTerm
7555
def
absTerm
7556
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7555
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
6864
remove
7554
ref
refl
appThm
sym
nil
5434
ref
31
ref
7554
remove
nil
cons
7557
def
cons
nil
cons
cons
nil
cons
cons
7558
def
49
ref
subst
7558
remove
121
ref
subst
13
ref
"_29164"
162
ref
var
7559
def
242
ref
7553
ref
7559
remove
varTerm
7560
def
appTerm
appTerm
331
ref
7530
ref
7560
remove
appTerm
6
ref
appTerm
appTerm
appTerm
absTerm
7561
def
525
ref
appTerm
7562
def
appTerm
refl
7561
ref
164
ref
appTerm
betaConv
appThm
80
ref
7562
remove
betaConv
appThm
242
ref
7553
remove
164
ref
appTerm
appTerm
331
ref
7530
ref
164
ref
appTerm
7563
def
6
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7561
remove
refl
6875
ref
appThm
eqMp
sym
387
ref
7461
remove
2012
ref
subst
appThm
1769
ref
8
remove
138
ref
1060
remove
892
ref
7529
remove
6876
remove
constTerm
7564
def
164
ref
appTerm
1065
ref
appTerm
appTerm
1065
ref
appTerm
absTerm
7565
def
1065
remove
appTerm
7566
def
betaConv
nil
906
ref
7565
ref
appTerm
7567
def
axiom
nil
30
ref
7567
remove
nil
cons
cons
31
ref
7566
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7565
remove
nil
cons
cons
1076
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
7568
def
subst
appThm
appThm
nil
184
ref
7460
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
78
ref
7557
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
7556
remove
appTerm
7569
def
nil
cons
cons
31
ref
150
ref
887
ref
28
ref
886
ref
32
ref
178
ref
522
ref
6884
remove
242
ref
1955
ref
964
remove
appTerm
7570
def
525
ref
appTerm
appTerm
331
ref
7531
ref
962
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7571
def
appTerm
7572
def
appTerm
178
ref
522
ref
6889
remove
242
ref
1955
ref
973
remove
appTerm
7573
def
525
ref
appTerm
appTerm
331
ref
7531
remove
971
ref
appTerm
appTerm
appTerm
appTerm
7574
def
absTerm
7575
def
appTerm
7576
def
appTerm
7577
def
absTerm
7578
def
appTerm
7579
def
absTerm
7580
def
appTerm
7581
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
152
ref
7580
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
887
ref
nil
63
ref
7579
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
7578
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
886
ref
nil
63
ref
7577
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7572
remove
nil
cons
7582
def
cons
7583
def
31
ref
7576
remove
nil
cons
7584
def
cons
nil
cons
cons
nil
cons
cons
7585
def
49
ref
subst
7585
remove
121
ref
subst
nil
183
ref
7575
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7574
ref
nil
cons
7586
def
cons
nil
cons
nil
cons
cons
69
ref
subst
6906
remove
nil
6911
remove
31
ref
7586
ref
cons
nil
cons
7587
def
cons
nil
cons
cons
7588
def
101
ref
subst
proveHyp
7588
ref
49
ref
subst
7588
remove
121
ref
subst
nil
183
ref
163
ref
6918
remove
7574
ref
appTerm
7589
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7589
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
6921
remove
7587
ref
cons
nil
cons
cons
7590
def
49
ref
subst
7590
remove
121
ref
subst
6923
remove
nil
6925
remove
7587
ref
cons
nil
cons
cons
7591
def
101
ref
subst
proveHyp
7591
ref
49
ref
subst
7591
remove
121
ref
subst
13
ref
"_29170"
162
ref
var
7592
def
32
ref
3365
ref
7592
remove
varTerm
7593
def
appTerm
975
ref
appTerm
appTerm
242
ref
7573
ref
7593
ref
appTerm
appTerm
331
ref
7530
ref
7593
remove
appTerm
971
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7594
def
525
ref
appTerm
7595
def
appTerm
refl
7596
def
7594
remove
254
ref
appTerm
betaConv
appThm
80
ref
7595
remove
betaConv
appThm
7597
def
7491
remove
242
ref
7573
ref
254
ref
appTerm
appTerm
331
ref
7530
ref
254
ref
appTerm
971
ref
appTerm
7598
def
appTerm
7599
def
appTerm
appTerm
refl
appThm
trans
7575
remove
refl
7600
def
6936
remove
appThm
eqMp
sym
7494
remove
387
ref
7495
remove
2154
remove
subst
4828
remove
1639
remove
appThm
401
ref
appThm
trans
appThm
7599
ref
refl
appThm
appThm
sym
nil
6944
ref
31
ref
242
ref
7570
remove
170
ref
appTerm
7601
def
appTerm
7602
def
7599
ref
appTerm
7603
def
nil
cons
7604
def
cons
nil
cons
7605
def
cons
nil
cons
cons
7606
def
49
ref
subst
7606
remove
121
ref
subst
7571
ref
170
ref
appTerm
7607
def
betaConv
nil
7583
remove
31
ref
7607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
7571
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6951
remove
7602
remove
331
ref
7530
ref
170
ref
appTerm
962
ref
appTerm
7608
def
appTerm
7609
def
appTerm
7610
def
appTerm
nil
cons
cons
7605
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
6954
remove
7610
ref
refl
appThm
nil
63
ref
7610
ref
nil
cons
7611
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
7603
remove
refl
appThm
sym
nil
30
ref
7611
ref
cons
7605
remove
cons
nil
cons
cons
7612
def
49
ref
subst
7612
remove
121
ref
subst
13
ref
"_29174"
162
ref
var
7613
def
242
ref
7613
remove
varTerm
appTerm
7599
ref
appTerm
absTerm
7614
def
7601
remove
appTerm
7615
def
appTerm
refl
7614
ref
7609
ref
appTerm
betaConv
appThm
80
ref
7615
remove
betaConv
appThm
242
ref
7609
remove
appTerm
7599
remove
appTerm
refl
appThm
trans
7614
remove
refl
7610
remove
assume
appThm
eqMp
sym
1769
ref
nil
6944
remove
31
ref
497
ref
7598
ref
appTerm
7608
ref
appTerm
nil
cons
7616
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
138
ref
890
remove
6963
remove
892
ref
7564
ref
254
remove
appTerm
900
remove
appTerm
appTerm
7564
remove
170
ref
appTerm
899
ref
appTerm
appTerm
appTerm
absTerm
7617
def
899
remove
appTerm
7618
def
betaConv
163
ref
906
ref
7617
ref
appTerm
7619
def
absTerm
7620
def
170
ref
appTerm
7621
def
betaConv
896
ref
178
ref
7620
ref
appTerm
7622
def
absTerm
7623
def
897
ref
appTerm
7624
def
betaConv
nil
178
ref
163
ref
111
ref
896
ref
7619
ref
absTerm
7625
def
appTerm
7626
def
absTerm
7627
def
appTerm
7628
def
axiom
nil
30
ref
7628
remove
nil
cons
7629
def
cons
7630
def
31
ref
111
ref
7623
ref
appTerm
nil
cons
7631
def
cons
nil
cons
cons
nil
cons
cons
7632
def
101
ref
subst
proveHyp
7632
ref
49
ref
subst
7632
remove
121
ref
subst
nil
112
ref
7623
remove
nil
cons
cons
7633
def
nil
cons
nil
cons
cons
561
remove
subst
896
remove
nil
63
ref
7622
remove
nil
cons
7634
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7620
remove
nil
cons
cons
7635
def
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7619
remove
nil
cons
7636
def
cons
nil
cons
nil
cons
cons
69
ref
subst
7625
ref
897
remove
appTerm
7637
def
betaConv
7627
ref
170
ref
appTerm
7638
def
betaConv
nil
7630
remove
31
ref
7638
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
182
ref
183
ref
7627
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7626
remove
nil
cons
cons
31
ref
7637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
7625
remove
nil
cons
cons
911
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
7629
remove
cons
78
ref
7631
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
7631
remove
cons
31
ref
7624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
7633
remove
911
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7634
remove
cons
31
ref
7621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
7635
remove
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7636
remove
cons
31
ref
7618
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7617
remove
nil
cons
cons
915
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
eqMp
nil
30
ref
7616
remove
cons
31
ref
497
ref
7608
ref
appTerm
7598
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
105
ref
7598
remove
nil
cons
cons
546
remove
7608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6986
remove
subst
eqMp
appThm
eqMp
eqMp
nil
76
ref
7611
remove
cons
78
ref
7604
remove
cons
nil
cons
7639
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
6989
remove
7639
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
6990
remove
78
ref
7586
ref
cons
nil
cons
7640
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6992
remove
7640
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
6993
remove
7574
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
6994
remove
7574
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
6995
remove
7640
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
nil
5434
remove
7587
remove
cons
nil
cons
cons
7641
def
49
ref
subst
7641
remove
121
ref
subst
7596
remove
"_29166"
162
ref
var
7642
def
32
ref
3365
ref
7642
remove
varTerm
7643
def
appTerm
975
remove
appTerm
appTerm
242
ref
7573
ref
7643
ref
appTerm
appTerm
331
ref
7530
remove
7643
remove
appTerm
971
ref
appTerm
appTerm
appTerm
appTerm
absTerm
164
ref
appTerm
betaConv
appThm
7597
remove
7522
remove
242
ref
7573
remove
164
ref
appTerm
appTerm
331
ref
7563
remove
971
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
7600
remove
6875
remove
appThm
eqMp
sym
7523
remove
387
ref
990
remove
2012
remove
subst
appThm
1769
remove
1001
remove
7568
remove
subst
appThm
appThm
nil
184
ref
988
remove
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
appThm
7524
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
5438
ref
7640
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
5438
remove
7003
remove
839
ref
7586
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
eqMp
nil
7004
remove
7640
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
7582
remove
cons
78
ref
7584
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7569
remove
appTerm
7581
remove
appTerm
nil
cons
cons
31
ref
28
ref
7550
ref
appTerm
nil
cons
7644
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7550
ref
6
remove
appTerm
betaConv
appThm
1082
remove
887
remove
1000
ref
886
remove
200
ref
7550
ref
962
remove
appTerm
betaConv
appThm
7550
ref
971
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1000
remove
4
ref
7552
remove
absThm
appThm
appThm
nil
1084
remove
7550
remove
nil
cons
7645
def
cons
nil
cons
nil
cons
cons
1090
remove
subst
eqMp
eqMp
nil
30
ref
7644
remove
cons
31
ref
7551
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7645
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7549
remove
nil
cons
cons
31
ref
7548
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7547
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
7527
ref
78
ref
7544
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
28
ref
7537
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
497
ref
504
ref
2887
remove
appTerm
7646
def
525
ref
appTerm
appTerm
"Data.List.zipWith"
const
7647
def
10
ref
12
ref
512
remove
cons
opType
constTerm
7648
def
38
ref
appTerm
7649
def
504
ref
445
ref
appTerm
7650
def
525
ref
appTerm
7651
def
appTerm
526
ref
appTerm
appTerm
7652
def
absTerm
7653
def
appTerm
7654
def
absTerm
7655
def
appTerm
7656
def
absTerm
7657
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7656
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7655
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7654
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7653
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7652
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
7652
remove
absTerm
7658
def
170
ref
appTerm
7659
def
betaConv
7660
def
442
ref
178
ref
7658
ref
appTerm
7661
def
absTerm
7662
def
445
ref
appTerm
7663
def
betaConv
7664
def
522
ref
178
ref
7662
ref
appTerm
7665
def
absTerm
7666
def
525
ref
appTerm
7667
def
betaConv
7668
def
257
ref
442
ref
257
ref
163
ref
498
ref
5597
ref
542
ref
subst
appThm
7649
ref
refl
7669
def
5602
ref
542
ref
subst
7670
def
appThm
542
ref
appThm
nil
52
ref
38
ref
nil
cons
7671
def
cons
nil
cons
nil
cons
cons
135
ref
1828
remove
1914
remove
cons
cons
137
ref
cons
6061
ref
2174
ref
7647
remove
10
ref
6060
remove
10
ref
140
ref
2176
remove
cons
opType
nil
cons
cons
opType
constTerm
6072
ref
appTerm
7672
def
143
remove
appTerm
1841
remove
appTerm
appTerm
5
remove
2173
ref
constTerm
appTerm
absTerm
7673
def
6072
ref
appTerm
7674
def
betaConv
nil
6076
ref
7673
ref
appTerm
7675
def
axiom
nil
30
ref
7675
remove
nil
cons
cons
31
ref
7674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
6078
remove
6079
remove
7673
remove
nil
cons
cons
6080
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
7676
def
subst
trans
appThm
549
ref
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
ref
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
442
ref
178
ref
163
ref
497
ref
7646
ref
164
ref
appTerm
appTerm
7649
ref
7650
ref
164
ref
appTerm
7677
def
appTerm
537
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
7678
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
7665
ref
appTerm
178
ref
442
ref
178
ref
163
ref
497
ref
7646
remove
553
ref
appTerm
appTerm
7649
ref
7650
remove
553
ref
appTerm
7679
def
appTerm
554
ref
appTerm
appTerm
7680
def
absTerm
7681
def
appTerm
7682
def
absTerm
7683
def
appTerm
7684
def
appTerm
7685
def
absTerm
7686
def
appTerm
7687
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
7686
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7685
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7665
remove
nil
cons
7688
def
cons
7689
def
31
ref
7684
remove
nil
cons
7690
def
cons
nil
cons
cons
nil
cons
cons
7691
def
49
ref
subst
7691
remove
121
ref
subst
nil
183
ref
7683
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7682
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7681
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7680
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
498
ref
5597
remove
576
ref
subst
appThm
7669
remove
5602
ref
576
ref
subst
7692
def
appThm
576
ref
appThm
appThm
sym
588
ref
32
ref
242
ref
942
ref
504
ref
5616
remove
appTerm
525
ref
appTerm
7693
def
appTerm
appTerm
7694
def
942
ref
588
ref
varTerm
7695
def
appTerm
7696
def
appTerm
appTerm
7697
def
497
ref
7649
ref
516
ref
5607
ref
appTerm
7698
def
7693
ref
appTerm
7699
def
appTerm
7700
def
517
remove
7695
ref
appTerm
7701
def
appTerm
appTerm
516
ref
5609
ref
appTerm
7702
def
7649
ref
7693
ref
appTerm
7703
def
7695
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7704
def
566
ref
appTerm
7705
def
betaConv
590
ref
28
ref
588
ref
32
ref
242
ref
942
ref
590
ref
varTerm
7706
def
appTerm
appTerm
7696
remove
appTerm
appTerm
7707
def
497
ref
7649
ref
7698
remove
7706
ref
appTerm
7708
def
appTerm
7709
def
7701
ref
appTerm
appTerm
7702
ref
7649
ref
7706
ref
appTerm
7695
ref
appTerm
7710
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7711
def
7693
ref
appTerm
7712
def
betaConv
1187
ref
28
ref
590
ref
28
ref
588
ref
7707
ref
497
ref
7709
remove
516
ref
1194
ref
appTerm
7695
ref
appTerm
7713
def
appTerm
appTerm
516
ref
5608
remove
1194
ref
appTerm
appTerm
7710
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7714
def
171
ref
appTerm
7715
def
betaConv
1188
ref
150
ref
1187
ref
28
ref
590
ref
28
ref
588
ref
7707
ref
497
ref
7649
remove
516
ref
1190
ref
appTerm
7706
ref
appTerm
7716
def
appTerm
7713
ref
appTerm
appTerm
516
ref
4389
remove
appTerm
7710
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7717
def
5607
ref
appTerm
7718
def
betaConv
52
ref
150
ref
1188
ref
150
ref
1187
ref
28
ref
590
ref
28
ref
588
ref
7707
ref
497
ref
7648
ref
53
ref
appTerm
7719
def
7716
ref
appTerm
7713
ref
appTerm
appTerm
516
ref
53
remove
1190
ref
appTerm
1194
ref
appTerm
appTerm
7719
remove
7706
ref
appTerm
7695
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7720
def
38
ref
appTerm
7721
def
betaConv
1913
remove
135
remove
1829
remove
cons
cons
137
remove
cons
nil
6076
remove
6061
remove
111
ref
"h1"
108
ref
var
7722
def
370
remove
"h2"
356
remove
var
7723
def
906
ref
"t1"
140
ref
var
7724
def
27
ref
10
ref
1835
remove
2
remove
cons
opType
constTerm
"t2"
1834
remove
var
7725
def
32
ref
242
ref
950
ref
7724
ref
varTerm
7726
def
appTerm
appTerm
2194
remove
7725
remove
varTerm
7727
def
appTerm
appTerm
appTerm
2174
remove
7672
ref
895
ref
7722
ref
varTerm
7728
def
appTerm
7726
ref
appTerm
7729
def
appTerm
1872
remove
7723
remove
varTerm
7730
def
appTerm
7727
ref
appTerm
appTerm
appTerm
515
remove
10
ref
1915
remove
10
remove
2173
remove
2175
remove
cons
opType
nil
cons
cons
opType
constTerm
6072
remove
7728
ref
appTerm
7730
remove
appTerm
appTerm
7672
remove
7726
ref
appTerm
7727
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
7731
def
nil
30
ref
27
remove
50
remove
constTerm
7720
ref
appTerm
nil
cons
cons
7732
def
31
ref
7721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
"A"
993
remove
cons
nil
cons
7733
def
"P"
45
remove
var
7720
ref
nil
cons
cons
7734
def
"x"
12
remove
var
7735
def
7671
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
150
ref
7717
ref
appTerm
nil
cons
cons
31
ref
7718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7717
remove
nil
cons
cons
153
ref
5607
ref
nil
cons
cons
nil
cons
7736
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
150
ref
7714
ref
appTerm
nil
cons
cons
31
ref
7715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7714
remove
nil
cons
cons
2749
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
28
ref
7711
ref
appTerm
nil
cons
cons
31
ref
7712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7711
remove
nil
cons
cons
105
ref
7693
ref
nil
cons
cons
nil
cons
7737
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
28
ref
7704
ref
appTerm
nil
cons
cons
31
ref
7705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7704
remove
nil
cons
cons
105
ref
2577
remove
cons
nil
cons
7738
def
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
32
ref
7694
remove
942
ref
566
ref
appTerm
appTerm
appTerm
7739
def
497
ref
7700
remove
567
ref
appTerm
7740
def
appTerm
7702
remove
7703
remove
566
ref
appTerm
7741
def
appTerm
7742
def
appTerm
7743
def
appTerm
nil
cons
cons
31
ref
497
ref
516
ref
5606
ref
appTerm
504
ref
5615
remove
appTerm
525
ref
appTerm
7744
def
appTerm
appTerm
7745
def
7740
ref
appTerm
7746
def
nil
cons
7747
def
cons
nil
cons
7748
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
200
ref
387
ref
nil
163
ref
5630
remove
cons
nil
cons
nil
cons
cons
2212
ref
subst
appThm
521
remove
2212
ref
subst
appThm
4552
remove
trans
appThm
7749
def
7743
ref
refl
appThm
nil
63
ref
7743
ref
nil
cons
7750
def
cons
nil
cons
nil
cons
cons
1398
ref
subst
trans
appThm
7746
remove
refl
appThm
sym
nil
30
ref
7750
ref
cons
7748
remove
cons
nil
cons
cons
7751
def
49
ref
subst
7751
remove
121
ref
subst
13
ref
"_29264"
3
ref
var
7752
def
7745
ref
7752
remove
varTerm
appTerm
absTerm
7753
def
7740
remove
appTerm
7754
def
appTerm
refl
7753
ref
7742
ref
appTerm
betaConv
appThm
80
ref
7754
remove
betaConv
appThm
7745
remove
7742
remove
appTerm
refl
appThm
trans
7753
remove
refl
7743
remove
assume
appThm
eqMp
sym
nil
588
ref
7741
ref
nil
cons
7755
def
cons
1187
ref
5609
remove
nil
cons
cons
590
ref
7744
remove
nil
cons
cons
1188
ref
5606
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
138
ref
"t2"
140
remove
var
7756
def
13
ref
892
ref
7729
remove
appTerm
895
remove
"h2"
108
ref
var
7757
def
varTerm
7758
def
appTerm
7756
remove
varTerm
7759
def
appTerm
appTerm
appTerm
38
ref
266
ref
7728
ref
appTerm
7758
ref
appTerm
appTerm
892
remove
7726
ref
appTerm
7759
ref
appTerm
appTerm
appTerm
absTerm
7760
def
7759
ref
appTerm
7761
def
betaConv
7724
remove
906
ref
7760
ref
appTerm
7762
def
absTerm
7763
def
7726
ref
appTerm
7764
def
betaConv
7757
remove
906
ref
7763
ref
appTerm
7765
def
absTerm
7766
def
7758
ref
appTerm
7767
def
betaConv
7722
remove
111
ref
7766
ref
appTerm
7768
def
absTerm
7769
def
7728
ref
appTerm
7770
def
betaConv
nil
111
ref
7769
ref
appTerm
7771
def
axiom
nil
30
ref
7771
remove
nil
cons
cons
31
ref
7770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
7769
remove
nil
cons
cons
116
ref
7728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7768
remove
nil
cons
cons
31
ref
7767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
320
ref
112
ref
7766
remove
nil
cons
cons
116
ref
7758
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7765
remove
nil
cons
cons
31
ref
7764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7763
remove
nil
cons
cons
914
ref
7726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7762
remove
nil
cons
cons
31
ref
7761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
7760
remove
nil
cons
cons
914
remove
7759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
7772
def
subst
596
ref
5605
remove
appThm
498
ref
861
ref
5634
remove
appThm
1806
ref
appThm
5631
ref
7660
remove
7664
remove
nil
7689
remove
31
ref
7663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
7773
def
182
ref
183
ref
7662
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
7774
def
eqMp
eqMp
nil
30
ref
7661
remove
nil
cons
cons
31
ref
7659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
7775
def
proveHyp
182
ref
183
ref
7658
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
7776
def
eqMp
eqMp
subst
trans
appThm
7741
remove
refl
appThm
nil
105
ref
7755
remove
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
appThm
750
ref
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
7750
remove
cons
78
ref
7747
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
7688
remove
cons
78
ref
7690
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7678
remove
appTerm
7687
remove
appTerm
nil
cons
cons
31
ref
178
ref
7666
ref
appTerm
nil
cons
7777
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7666
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
7668
ref
appThm
7666
ref
553
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
7668
remove
absThm
appThm
appThm
nil
597
ref
7666
remove
nil
cons
7778
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
7777
remove
cons
31
ref
7667
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7778
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
7773
remove
proveHyp
7774
remove
eqMp
eqMp
7775
remove
proveHyp
7776
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7657
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
497
ref
504
ref
3319
remove
appTerm
7779
def
525
ref
appTerm
appTerm
7648
remove
19
ref
appTerm
7780
def
7651
ref
appTerm
526
remove
appTerm
appTerm
7781
def
absTerm
7782
def
appTerm
7783
def
absTerm
7784
def
appTerm
7785
def
absTerm
7786
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7785
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7784
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7783
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7782
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7781
ref
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
163
ref
7781
remove
absTerm
7787
def
170
ref
appTerm
7788
def
betaConv
7789
def
442
ref
178
ref
7787
ref
appTerm
7790
def
absTerm
7791
def
445
ref
appTerm
7792
def
betaConv
7793
def
522
ref
178
ref
7791
ref
appTerm
7794
def
absTerm
7795
def
525
ref
appTerm
7796
def
betaConv
7797
def
257
ref
442
ref
257
ref
163
ref
498
ref
5610
ref
542
ref
subst
appThm
7780
ref
refl
7798
def
7670
remove
appThm
542
remove
appThm
nil
52
remove
19
ref
nil
cons
7799
def
cons
nil
cons
nil
cons
cons
7676
remove
subst
trans
appThm
549
remove
trans
absThm
appThm
278
ref
trans
absThm
appThm
278
remove
trans
sym
68
ref
eqMp
nil
30
ref
178
ref
442
ref
178
ref
163
ref
497
ref
7779
ref
164
ref
appTerm
appTerm
7780
ref
7677
remove
appTerm
537
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
7800
def
nil
cons
cons
31
ref
178
ref
522
ref
32
ref
7794
ref
appTerm
178
ref
442
ref
178
ref
163
ref
497
ref
7779
remove
553
ref
appTerm
appTerm
7780
ref
7679
remove
appTerm
554
remove
appTerm
appTerm
7801
def
absTerm
7802
def
appTerm
7803
def
absTerm
7804
def
appTerm
7805
def
appTerm
7806
def
absTerm
7807
def
appTerm
7808
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
7807
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7806
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7794
remove
nil
cons
7809
def
cons
7810
def
31
ref
7805
remove
nil
cons
7811
def
cons
nil
cons
cons
nil
cons
cons
7812
def
49
ref
subst
7812
remove
121
ref
subst
nil
183
ref
7804
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7803
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7802
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7801
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
498
ref
5610
remove
576
ref
subst
appThm
7798
remove
7692
remove
appThm
576
remove
appThm
appThm
sym
588
ref
7697
remove
497
ref
7780
ref
7699
remove
appTerm
7813
def
7701
ref
appTerm
appTerm
516
ref
5614
ref
appTerm
7814
def
7780
ref
7693
ref
appTerm
7815
def
7695
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7816
def
566
ref
appTerm
7817
def
betaConv
590
ref
28
ref
588
ref
7707
ref
497
ref
7780
ref
7708
remove
appTerm
7818
def
7701
remove
appTerm
appTerm
7814
ref
7780
ref
7706
remove
appTerm
7695
remove
appTerm
7819
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7820
def
7693
remove
appTerm
7821
def
betaConv
1187
ref
28
ref
590
ref
28
ref
588
ref
7707
ref
497
ref
7818
remove
7713
ref
appTerm
appTerm
516
ref
5613
remove
1194
ref
appTerm
appTerm
7819
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7822
def
171
remove
appTerm
7823
def
betaConv
1188
ref
150
ref
1187
ref
28
ref
590
ref
28
ref
588
ref
7707
remove
497
ref
7780
remove
7716
remove
appTerm
7713
remove
appTerm
appTerm
516
ref
3810
remove
appTerm
7819
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7824
def
5607
remove
appTerm
7825
def
betaConv
7720
remove
19
ref
appTerm
7826
def
betaConv
7731
remove
nil
7732
remove
31
ref
7826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
7733
remove
7734
remove
7735
remove
7799
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
150
ref
7824
ref
appTerm
nil
cons
cons
31
ref
7825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7824
remove
nil
cons
cons
7736
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
150
ref
7822
ref
appTerm
nil
cons
cons
31
ref
7823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
152
ref
7822
remove
nil
cons
cons
2749
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
28
ref
7820
ref
appTerm
nil
cons
cons
31
ref
7821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7820
remove
nil
cons
cons
7737
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
28
ref
7816
ref
appTerm
nil
cons
cons
31
ref
7817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7816
remove
nil
cons
cons
7738
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7739
remove
497
ref
7813
remove
567
remove
appTerm
7827
def
appTerm
7814
remove
7815
remove
566
remove
appTerm
7828
def
appTerm
7829
def
appTerm
7830
def
appTerm
nil
cons
cons
31
ref
497
ref
516
remove
5612
ref
appTerm
504
remove
5635
remove
appTerm
525
ref
appTerm
7831
def
appTerm
appTerm
7832
def
7827
ref
appTerm
7833
def
nil
cons
7834
def
cons
nil
cons
7835
def
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
7749
remove
7830
ref
refl
appThm
nil
63
ref
7830
ref
nil
cons
7836
def
cons
nil
cons
nil
cons
cons
1398
remove
subst
trans
appThm
7833
remove
refl
appThm
sym
nil
30
ref
7836
ref
cons
7835
remove
cons
nil
cons
cons
7837
def
49
ref
subst
7837
remove
121
ref
subst
13
ref
"_29288"
3
ref
var
7838
def
7832
ref
7838
remove
varTerm
appTerm
absTerm
7839
def
7827
remove
appTerm
7840
def
appTerm
refl
7839
ref
7829
ref
appTerm
betaConv
appThm
80
ref
7840
remove
betaConv
appThm
7832
remove
7829
remove
appTerm
refl
appThm
trans
7839
remove
refl
7830
remove
assume
appThm
eqMp
sym
nil
588
remove
7828
ref
nil
cons
7841
def
cons
1187
ref
5614
remove
nil
cons
cons
590
remove
7831
remove
nil
cons
cons
1188
ref
5612
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
7772
remove
subst
596
ref
5611
remove
appThm
498
ref
861
remove
5642
remove
appThm
1806
remove
appThm
5631
remove
7789
remove
7793
remove
nil
7810
remove
31
ref
7792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
7842
def
182
ref
183
ref
7791
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
7843
def
eqMp
eqMp
nil
30
ref
7790
remove
nil
cons
cons
31
ref
7788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
7844
def
proveHyp
182
ref
183
ref
7787
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
7845
def
eqMp
eqMp
subst
trans
appThm
7828
remove
refl
appThm
nil
105
ref
7841
remove
cons
nil
cons
nil
cons
cons
548
ref
subst
trans
appThm
750
remove
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
7836
remove
cons
78
ref
7834
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
ref
7809
remove
cons
78
ref
7811
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7800
remove
appTerm
7808
remove
appTerm
nil
cons
cons
31
ref
178
ref
7795
ref
appTerm
nil
cons
7846
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7795
ref
164
ref
appTerm
betaConv
appThm
257
ref
522
ref
200
ref
7797
ref
appThm
7795
ref
553
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
522
ref
7797
remove
absThm
appThm
appThm
nil
597
ref
7795
remove
nil
cons
7847
def
cons
nil
cons
nil
cons
cons
612
ref
subst
eqMp
eqMp
nil
30
ref
7846
remove
cons
31
ref
7796
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7847
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
7842
remove
proveHyp
7843
remove
eqMp
eqMp
7844
remove
proveHyp
7845
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7786
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
1939
ref
5877
remove
absTerm
7848
def
appTerm
7849
def
absTerm
7850
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7849
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7848
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
6257
remove
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7850
remove
appTerm
thm
nil
609
ref
597
ref
32
ref
3137
remove
appTerm
603
ref
appTerm
7851
def
absTerm
7852
def
nil
cons
cons
nil
cons
nil
cons
cons
2830
ref
subst
597
ref
nil
63
ref
7851
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
3181
remove
eqMp
absThm
eqMp
nil
606
ref
7852
remove
appTerm
thm
nil
183
ref
163
ref
178
ref
522
ref
178
ref
1939
ref
13
ref
1791
ref
2492
ref
appTerm
7853
def
1941
ref
appTerm
7854
def
appTerm
7855
def
38
ref
6466
ref
1941
ref
appTerm
7856
def
appTerm
1792
ref
531
ref
1941
ref
appTerm
525
ref
appTerm
appTerm
7857
def
appTerm
appTerm
7858
def
absTerm
7859
def
appTerm
7860
def
absTerm
7861
def
appTerm
7862
def
absTerm
7863
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7862
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7861
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7860
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7859
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7858
ref
nil
cons
7864
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
160
ref
7856
ref
appTerm
7865
def
nil
cons
7866
def
cons
7867
def
31
ref
7864
ref
cons
nil
cons
7868
def
cons
nil
cons
cons
7869
def
49
ref
subst
7869
remove
121
ref
subst
7855
remove
refl
596
ref
nil
7867
remove
31
ref
13
ref
7856
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
7856
ref
nil
cons
7870
def
cons
7871
def
nil
cons
nil
cons
cons
233
ref
subst
eqMp
appThm
7857
ref
refl
appThm
nil
63
ref
7857
remove
nil
cons
cons
nil
cons
nil
cons
cons
1318
ref
subst
trans
appThm
nil
63
ref
7854
ref
nil
cons
cons
nil
cons
nil
cons
cons
1323
remove
subst
trans
sym
7146
remove
5294
remove
subst
7179
remove
trans
7865
remove
assume
eqMp
nil
7185
remove
31
ref
160
ref
7854
remove
appTerm
7872
def
nil
cons
7873
def
cons
nil
cons
7874
def
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
7183
remove
4005
ref
appTerm
7875
def
appTerm
7872
ref
appTerm
7876
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
7876
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7875
ref
nil
cons
7877
def
cons
7874
ref
cons
nil
cons
cons
7878
def
49
ref
subst
7878
remove
121
ref
subst
7875
ref
betaConv
7875
remove
assume
eqMp
nil
30
ref
7182
ref
nil
cons
7879
def
cons
7874
remove
cons
nil
cons
cons
7880
def
101
ref
subst
proveHyp
7880
ref
49
ref
subst
7880
remove
121
ref
subst
13
ref
"_29226"
162
ref
var
7881
def
160
ref
1791
ref
2491
ref
7881
remove
varTerm
appTerm
appTerm
1941
ref
appTerm
appTerm
absTerm
7882
def
525
ref
appTerm
7883
def
appTerm
refl
7882
ref
7181
ref
appTerm
betaConv
appThm
80
ref
7883
remove
betaConv
appThm
160
ref
1791
ref
2491
ref
7181
remove
appTerm
appTerm
1941
ref
appTerm
appTerm
refl
appThm
trans
7882
remove
refl
7182
remove
assume
appThm
eqMp
sym
161
ref
2314
ref
6560
ref
nil
4038
ref
2338
remove
cons
nil
cons
cons
7884
def
4778
remove
subst
appThm
appThm
2235
ref
appThm
appThm
sym
1939
ref
160
ref
1791
ref
2491
ref
245
ref
7180
remove
4005
ref
appTerm
appTerm
appTerm
appTerm
1941
ref
appTerm
7885
def
appTerm
7886
def
absTerm
7887
def
1941
ref
appTerm
7888
def
betaConv
7889
def
161
ref
nil
163
ref
2491
ref
245
ref
2276
remove
4005
ref
appTerm
7890
def
appTerm
appTerm
7891
def
nil
cons
cons
nil
cons
nil
cons
cons
2161
remove
subst
239
remove
nil
522
ref
7890
ref
nil
cons
cons
nil
cons
nil
cons
cons
2636
ref
subst
appThm
nil
1135
ref
2491
ref
7890
remove
appTerm
nil
cons
cons
2618
ref
cons
nil
cons
cons
1329
remove
subst
trans
trans
appThm
236
ref
trans
sym
68
ref
eqMp
nil
30
ref
160
ref
1791
ref
7891
remove
appTerm
164
ref
appTerm
appTerm
7892
def
nil
cons
cons
31
ref
178
ref
1939
ref
32
ref
7886
ref
appTerm
160
ref
1791
remove
2491
ref
245
remove
467
ref
1942
ref
appTerm
4005
ref
appTerm
7893
def
appTerm
appTerm
7894
def
appTerm
1942
ref
appTerm
appTerm
7895
def
appTerm
7896
def
absTerm
7897
def
appTerm
7898
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
183
ref
7897
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
1939
ref
nil
63
ref
7896
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7886
remove
nil
cons
7899
def
cons
7900
def
31
ref
7895
remove
nil
cons
7901
def
cons
nil
cons
cons
nil
cons
cons
7902
def
49
ref
subst
7902
remove
121
ref
subst
161
ref
nil
163
ref
7894
remove
nil
cons
cons
nil
cons
nil
cons
cons
2157
remove
subst
2314
ref
862
remove
nil
522
ref
7893
ref
nil
cons
cons
nil
cons
nil
cons
cons
2636
remove
subst
appThm
nil
1135
remove
2491
remove
7893
remove
appTerm
nil
cons
cons
2618
remove
cons
nil
cons
cons
1603
remove
subst
trans
appThm
2235
ref
appThm
trans
appThm
sym
161
ref
2314
ref
6560
remove
7884
remove
4664
remove
subst
appThm
appThm
2235
remove
appThm
nil
7900
remove
31
ref
13
ref
7885
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
nil
76
ref
7885
remove
nil
cons
cons
nil
cons
nil
cons
cons
233
remove
subst
eqMp
trans
appThm
236
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
7899
remove
cons
78
ref
7901
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
30
ref
38
ref
7892
remove
appTerm
7898
remove
appTerm
nil
cons
cons
31
ref
178
ref
7887
ref
appTerm
nil
cons
7903
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
200
ref
596
ref
7887
ref
164
remove
appTerm
betaConv
appThm
257
ref
1939
ref
200
remove
7889
ref
appThm
7887
ref
1942
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
257
ref
1939
ref
7889
remove
absThm
appThm
appThm
nil
597
ref
7887
remove
nil
cons
7904
def
cons
nil
cons
nil
cons
cons
612
remove
subst
eqMp
eqMp
nil
30
ref
7903
remove
cons
31
ref
7888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7904
remove
cons
1966
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
76
ref
7879
remove
cons
78
ref
7873
remove
cons
nil
cons
7905
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
7877
remove
cons
7905
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
7213
remove
7872
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
7214
remove
7872
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
7215
remove
7905
remove
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
76
ref
7866
ref
cons
78
ref
7864
ref
cons
nil
cons
7906
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
7870
ref
cons
7868
ref
cons
nil
cons
cons
7907
def
49
ref
subst
7907
remove
121
ref
subst
7147
remove
7856
ref
assume
eqMp
nil
7152
remove
7868
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
7150
remove
4005
ref
appTerm
7908
def
appTerm
7858
ref
appTerm
7909
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
ref
nil
63
ref
7909
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
7908
ref
nil
cons
7910
def
cons
7868
ref
cons
nil
cons
cons
7911
def
49
ref
subst
7911
remove
121
ref
subst
7908
ref
betaConv
7908
remove
assume
eqMp
nil
30
ref
7149
ref
nil
cons
7912
def
cons
7868
remove
cons
nil
cons
cons
7913
def
101
ref
subst
proveHyp
7913
ref
49
ref
subst
7913
remove
121
ref
subst
13
ref
"_29224"
162
ref
var
7914
def
13
ref
7853
ref
7914
remove
varTerm
7915
def
appTerm
appTerm
38
ref
6466
ref
7915
ref
appTerm
appTerm
1792
ref
531
ref
7915
remove
appTerm
525
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7916
def
1941
ref
appTerm
7917
def
appTerm
refl
7916
remove
7148
ref
appTerm
betaConv
appThm
80
ref
7917
remove
betaConv
appThm
13
ref
7853
remove
7148
ref
appTerm
appTerm
38
ref
6466
remove
7148
ref
appTerm
appTerm
1792
ref
531
ref
7148
remove
appTerm
525
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
7859
remove
refl
7149
remove
assume
appThm
eqMp
sym
80
ref
nil
1939
remove
4035
remove
cons
163
ref
2617
ref
cons
nil
cons
7918
def
cons
nil
cons
cons
6554
ref
1941
remove
appTerm
7919
def
betaConv
6556
ref
525
ref
appTerm
7920
def
betaConv
6558
ref
170
ref
appTerm
7921
def
betaConv
3681
remove
nil
30
ref
6559
remove
nil
cons
cons
31
ref
7921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6558
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6557
remove
nil
cons
cons
31
ref
7920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6556
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
6555
remove
nil
cons
cons
31
ref
7919
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
6554
remove
nil
cons
cons
1966
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2314
remove
4852
remove
4854
remove
nil
30
ref
4842
remove
cons
31
ref
4851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
4853
remove
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
7922
def
appThm
5283
remove
appThm
trans
appThm
596
ref
nil
4038
ref
5297
ref
cons
nil
cons
cons
7923
def
3695
remove
subst
appThm
1792
ref
refl
7923
remove
163
ref
242
ref
6286
remove
445
ref
appTerm
appTerm
170
ref
appTerm
absTerm
7924
def
170
ref
appTerm
7925
def
betaConv
442
ref
178
ref
7924
ref
appTerm
7926
def
absTerm
7927
def
445
ref
appTerm
7928
def
betaConv
nil
178
ref
7927
ref
appTerm
7929
def
axiom
nil
30
ref
7929
remove
nil
cons
cons
31
ref
7928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7927
remove
nil
cons
cons
459
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7926
remove
nil
cons
cons
31
ref
7925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7924
remove
nil
cons
cons
187
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
7930
def
subst
appThm
appThm
nil
63
ref
1792
remove
4005
ref
appTerm
nil
cons
7931
def
cons
nil
cons
nil
cons
cons
749
ref
subst
trans
appThm
nil
153
ref
7931
remove
cons
nil
cons
nil
cons
cons
269
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
7912
remove
cons
7906
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
7910
remove
cons
7906
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
ref
7168
remove
7858
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
7169
remove
7858
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
7170
remove
7906
ref
cons
nil
cons
cons
1600
ref
subst
eqMp
eqMp
eqMp
nil
7871
ref
7906
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
830
remove
7856
remove
appTerm
7932
def
betaConv
833
remove
nil
834
remove
31
ref
7932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
ref
835
remove
153
ref
7870
remove
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
7871
remove
78
ref
7866
remove
cons
839
ref
7864
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7863
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
1156
ref
6604
ref
appTerm
7933
def
2458
ref
appTerm
7934
def
appTerm
525
ref
appTerm
7935
def
appTerm
2456
ref
1301
remove
appTerm
525
ref
appTerm
7936
def
appTerm
7937
def
absTerm
7938
def
appTerm
7939
def
absTerm
7940
def
appTerm
7941
def
absTerm
7942
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7941
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7940
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7939
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7938
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7937
remove
nil
cons
7943
def
cons
nil
cons
nil
cons
cons
69
ref
subst
687
ref
2060
ref
467
ref
7934
ref
appTerm
7944
def
6596
ref
appTerm
appTerm
absTerm
7945
def
467
ref
7933
ref
1980
ref
appTerm
7946
def
appTerm
2098
ref
1955
remove
445
ref
appTerm
525
ref
appTerm
7947
def
appTerm
7948
def
appTerm
7949
def
appTerm
betaConv
sym
2060
remove
refl
7950
def
7944
remove
refl
nil
1213
ref
7948
remove
nil
cons
cons
1215
ref
7946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6709
ref
subst
673
ref
nil
1213
ref
2055
remove
cons
7951
def
1215
ref
7285
remove
cons
nil
cons
cons
nil
cons
cons
6582
ref
subst
appThm
nil
1213
ref
7947
ref
nil
cons
7952
def
cons
6662
remove
cons
nil
cons
cons
6582
remove
subst
appThm
trans
appThm
nil
687
ref
2098
remove
2469
remove
7947
ref
appTerm
525
ref
appTerm
7953
def
appTerm
7954
def
nil
cons
cons
163
ref
7933
ref
2471
ref
appTerm
nil
cons
cons
442
ref
7934
remove
nil
cons
7955
def
cons
nil
cons
cons
cons
nil
cons
cons
5754
ref
subst
673
ref
nil
687
ref
2478
remove
cons
7956
def
7288
ref
cons
nil
cons
cons
2687
remove
subst
7933
ref
refl
2541
ref
appThm
trans
appThm
7954
remove
refl
appThm
trans
trans
appThm
sym
7950
ref
467
ref
7933
remove
170
ref
appTerm
appTerm
refl
nil
163
ref
7953
ref
nil
cons
7957
def
cons
7958
def
765
remove
cons
nil
cons
cons
2105
remove
subst
appThm
appThm
sym
7950
remove
nil
7958
ref
2622
remove
7287
ref
cons
cons
nil
cons
cons
687
ref
242
ref
467
ref
2667
remove
appTerm
2107
remove
appTerm
7959
def
appTerm
1156
remove
1235
ref
appTerm
691
ref
appTerm
7960
def
appTerm
7961
def
absTerm
7962
def
691
remove
appTerm
7963
def
betaConv
163
ref
178
ref
7962
ref
appTerm
7964
def
absTerm
7965
def
170
remove
appTerm
7966
def
betaConv
442
ref
178
ref
7965
ref
appTerm
7967
def
absTerm
7968
def
445
remove
appTerm
7969
def
betaConv
257
ref
442
ref
257
ref
163
ref
257
remove
687
ref
7961
remove
assume
sym
242
ref
7960
remove
appTerm
7959
remove
appTerm
7970
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
178
ref
442
ref
178
ref
163
ref
178
ref
687
ref
7970
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
30
ref
178
ref
7968
ref
appTerm
nil
cons
cons
31
ref
7969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7968
remove
nil
cons
cons
459
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7967
remove
nil
cons
cons
31
ref
7966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7965
remove
nil
cons
cons
187
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7964
remove
nil
cons
cons
31
ref
7963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7962
remove
nil
cons
cons
710
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
2549
remove
5602
ref
2541
ref
subst
7971
def
appThm
401
remove
appThm
trans
appThm
nil
184
ref
5731
ref
cons
nil
cons
nil
cons
cons
425
ref
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
7945
ref
nil
cons
cons
184
ref
7949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
7945
remove
appTerm
nil
cons
cons
31
ref
242
ref
7936
ref
appTerm
7935
ref
appTerm
nil
cons
7972
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
7955
remove
cons
442
ref
5731
remove
cons
nil
cons
cons
nil
cons
cons
6741
ref
subst
eqMp
nil
30
ref
7972
remove
cons
31
ref
7943
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
184
ref
7936
remove
nil
cons
cons
479
ref
7935
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2125
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7942
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
522
ref
242
ref
2456
ref
467
ref
6604
remove
appTerm
7973
def
2458
ref
appTerm
7974
def
appTerm
525
ref
appTerm
7975
def
appTerm
2456
remove
1235
remove
appTerm
525
ref
appTerm
7976
def
appTerm
7977
def
absTerm
7978
def
appTerm
7979
def
absTerm
7980
def
appTerm
7981
def
absTerm
7982
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
7981
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7980
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
7979
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7978
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
7977
remove
nil
cons
7983
def
cons
nil
cons
nil
cons
cons
69
ref
subst
687
ref
1474
ref
467
ref
7974
ref
appTerm
7984
def
6596
remove
appTerm
appTerm
absTerm
7985
def
467
ref
7947
remove
appTerm
1980
remove
appTerm
7986
def
appTerm
betaConv
sym
1474
ref
refl
7987
def
7984
ref
refl
nil
7951
remove
1215
ref
7952
remove
cons
nil
cons
cons
nil
cons
cons
6709
remove
subst
appThm
appThm
sym
479
ref
38
ref
1474
ref
1345
remove
appTerm
appTerm
1346
remove
7984
ref
467
ref
7953
ref
appTerm
7988
def
2471
remove
appTerm
appTerm
7989
def
appTerm
appTerm
absTerm
7990
def
467
ref
7973
ref
7953
ref
appTerm
7991
def
appTerm
7992
def
2472
remove
appTerm
7993
def
appTerm
betaConv
sym
7987
remove
673
ref
7971
remove
appThm
2541
remove
appThm
appThm
nil
184
ref
6795
ref
cons
nil
cons
7994
def
nil
cons
cons
425
remove
subst
trans
sym
68
ref
eqMp
nil
30
ref
1474
ref
7993
ref
appTerm
nil
cons
cons
31
ref
242
ref
7993
ref
appTerm
7989
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
387
ref
nil
7956
ref
7124
ref
442
ref
7991
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
5754
ref
subst
appThm
nil
7956
ref
7958
ref
442
ref
7974
remove
nil
cons
7995
def
cons
nil
cons
cons
cons
nil
cons
cons
5754
remove
subst
appThm
nil
163
ref
7984
remove
7953
ref
appTerm
nil
cons
cons
7956
remove
442
ref
7992
remove
2458
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
711
remove
subst
trans
sym
387
remove
nil
687
ref
2479
remove
cons
7958
remove
7287
ref
cons
cons
nil
cons
cons
2666
ref
subst
appThm
nil
687
ref
7957
ref
cons
7288
remove
cons
nil
cons
cons
2666
remove
subst
appThm
nil
687
ref
2468
remove
7953
remove
appTerm
nil
cons
cons
163
ref
7988
remove
2458
remove
appTerm
nil
cons
cons
7287
remove
cons
cons
nil
cons
cons
6378
remove
subst
trans
sym
nil
7124
remove
442
ref
7957
remove
cons
nil
cons
cons
nil
cons
cons
2490
remove
subst
eqMp
eqMp
eqMp
eqMp
182
ref
183
ref
7990
ref
nil
cons
cons
184
ref
7993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
7990
remove
appTerm
nil
cons
cons
31
ref
1474
remove
7989
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
477
remove
7989
remove
nil
cons
cons
7994
remove
cons
nil
cons
cons
1602
remove
subst
eqMp
eqMp
eqMp
182
ref
183
ref
7985
ref
nil
cons
cons
184
ref
7986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
7985
remove
appTerm
nil
cons
cons
31
ref
242
ref
7976
ref
appTerm
7975
ref
appTerm
nil
cons
7996
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
163
ref
7995
remove
cons
442
ref
6795
remove
cons
nil
cons
cons
nil
cons
cons
6741
remove
subst
eqMp
nil
30
ref
7996
remove
cons
31
ref
7983
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
184
ref
7976
remove
nil
cons
cons
479
remove
7975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2125
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
7982
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
13
ref
1198
remove
appTerm
1204
remove
appTerm
7997
def
absTerm
7998
def
appTerm
7999
def
absTerm
8000
def
appTerm
8001
def
absTerm
8002
def
appTerm
8003
def
absTerm
8004
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
8003
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8002
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
8001
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8000
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
7999
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
7998
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
7997
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
1612
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
8004
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
4419
remove
absTerm
8005
def
appTerm
8006
def
absTerm
8007
def
appTerm
8008
def
absTerm
8009
def
appTerm
8010
def
absTerm
8011
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
8010
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8009
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
8008
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8007
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
8006
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8005
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
4420
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4421
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
8011
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
3887
remove
absTerm
8012
def
appTerm
8013
def
absTerm
8014
def
appTerm
8015
def
absTerm
8016
def
appTerm
8017
def
absTerm
8018
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
8017
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8016
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
8015
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8014
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
8013
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8012
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
3888
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
3889
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
8018
remove
appTerm
thm
6712
remove
nil
6713
remove
thm
nil
609
remove
597
ref
32
ref
2784
remove
appTerm
603
remove
appTerm
8019
def
absTerm
8020
def
nil
cons
cons
nil
cons
nil
cons
cons
2830
remove
subst
597
remove
nil
63
ref
8019
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
2847
remove
eqMp
absThm
eqMp
nil
606
remove
8020
remove
appTerm
thm
nil
183
ref
163
ref
594
remove
absTerm
8021
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
595
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
613
remove
eqMp
absThm
eqMp
nil
178
ref
8021
remove
appTerm
thm
nil
183
ref
442
ref
178
ref
163
ref
178
ref
4732
ref
178
ref
522
ref
13
ref
3365
ref
463
ref
7973
remove
2492
ref
appTerm
8022
def
appTerm
8023
def
appTerm
8024
def
4735
ref
appTerm
8025
def
appTerm
3395
remove
4733
ref
appTerm
8026
def
appTerm
8027
def
absTerm
8028
def
appTerm
8029
def
absTerm
8030
def
appTerm
8031
def
absTerm
8032
def
appTerm
8033
def
absTerm
8034
def
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
442
ref
nil
63
ref
8033
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8032
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
163
ref
nil
63
ref
8031
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8030
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4732
remove
nil
63
ref
8029
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8028
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
8027
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
8025
ref
nil
cons
8035
def
cons
31
ref
8026
ref
nil
cons
8036
def
cons
nil
cons
cons
nil
cons
cons
8037
def
222
remove
subst
8037
ref
49
ref
subst
8037
remove
121
ref
subst
3711
ref
865
remove
7922
remove
sym
appThm
appThm
4817
remove
appThm
sym
2581
ref
38
ref
5188
ref
2588
ref
appTerm
appTerm
7362
remove
appTerm
absTerm
8038
def
8023
ref
appTerm
betaConv
sym
38
ref
5188
ref
8023
ref
appTerm
8039
def
appTerm
refl
nil
63
ref
8035
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
8025
ref
assume
eqMp
appThm
nil
63
ref
8039
remove
nil
cons
8040
def
cons
nil
cons
nil
cons
cons
4001
ref
subst
trans
sym
nil
7286
remove
7918
ref
cons
nil
cons
cons
3996
remove
subst
sym
68
ref
eqMp
nil
30
ref
3365
ref
2492
remove
appTerm
8022
ref
appTerm
nil
cons
cons
31
ref
8040
remove
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1213
ref
8022
ref
nil
cons
8041
def
cons
1215
ref
2617
remove
cons
nil
cons
cons
nil
cons
cons
5181
ref
subst
eqMp
eqMp
eqMp
182
ref
183
ref
8038
ref
nil
cons
cons
184
ref
8023
remove
nil
cons
8042
def
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
8038
remove
appTerm
nil
cons
cons
31
ref
5188
remove
4735
remove
appTerm
nil
cons
8043
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
7375
remove
4966
remove
cons
nil
cons
cons
4109
ref
subst
eqMp
nil
30
ref
8043
remove
cons
31
ref
3365
ref
463
ref
4837
remove
appTerm
appTerm
4733
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
7918
remove
nil
cons
cons
7379
remove
subst
eqMp
eqMp
eqMp
nil
76
ref
8035
ref
cons
78
ref
8036
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
32
ref
8025
ref
appTerm
8026
ref
appTerm
nil
cons
cons
31
ref
32
ref
8026
ref
appTerm
8025
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
30
ref
8036
ref
cons
31
ref
8035
ref
cons
nil
cons
cons
nil
cons
cons
8044
def
49
ref
subst
8044
remove
121
ref
subst
8024
ref
refl
7209
remove
appThm
sym
2581
ref
38
ref
8024
ref
2588
remove
appTerm
appTerm
8045
def
4478
ref
7160
ref
appTerm
appTerm
absTerm
8046
def
942
remove
7028
remove
7651
ref
appTerm
501
remove
appTerm
8047
def
appTerm
8048
def
appTerm
betaConv
sym
2581
remove
8045
remove
4478
remove
8048
ref
appTerm
appTerm
absTerm
8049
def
463
remove
331
remove
8047
ref
appTerm
8050
def
appTerm
8051
def
appTerm
betaConv
sym
3365
ref
8022
remove
appTerm
8052
def
refl
nil
2435
remove
932
remove
cons
2436
remove
7651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8053
def
7074
ref
7071
ref
appTerm
8054
def
betaConv
7103
remove
nil
30
ref
7077
remove
cons
31
ref
8054
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7074
remove
nil
cons
cons
105
ref
7071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
673
ref
5602
ref
2759
remove
subst
appThm
2638
remove
2849
remove
appThm
5602
remove
2212
remove
subst
8055
def
appThm
appThm
trans
appThm
nil
163
remove
8041
ref
cons
nil
cons
nil
cons
cons
3553
remove
subst
trans
sym
68
ref
eqMp
nil
30
ref
8052
remove
8050
ref
appTerm
nil
cons
cons
31
ref
8024
ref
8051
ref
appTerm
nil
cons
8056
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
1213
remove
8050
remove
nil
cons
cons
1215
remove
8041
remove
cons
nil
cons
cons
nil
cons
cons
5181
remove
subst
eqMp
nil
30
ref
8056
remove
cons
31
ref
3365
ref
8051
ref
appTerm
8048
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
4
ref
8047
remove
nil
cons
cons
nil
cons
nil
cons
cons
4907
remove
subst
eqMp
eqMp
182
ref
183
ref
8049
ref
nil
cons
cons
184
ref
8051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1530
ref
subst
proveHyp
nil
30
ref
1531
ref
8049
remove
appTerm
nil
cons
cons
31
ref
8024
ref
8048
ref
appTerm
nil
cons
8057
def
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
ref
8048
ref
nil
cons
8058
def
cons
442
remove
8042
remove
cons
nil
cons
8059
def
cons
nil
cons
cons
4109
ref
subst
eqMp
nil
30
ref
8057
remove
cons
31
ref
3365
remove
8048
remove
appTerm
7160
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
3711
remove
8053
remove
138
ref
2437
remove
242
remove
950
remove
7023
remove
2439
ref
appTerm
2441
ref
appTerm
appTerm
appTerm
467
remove
2440
remove
appTerm
2442
remove
appTerm
appTerm
absTerm
8060
def
2441
remove
appTerm
8061
def
betaConv
2438
remove
906
ref
8060
ref
appTerm
8062
def
absTerm
8063
def
2439
remove
appTerm
8064
def
betaConv
nil
906
remove
8063
ref
appTerm
8065
def
axiom
nil
30
ref
8065
remove
nil
cons
cons
31
ref
8064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
ref
913
ref
8063
remove
nil
cons
cons
2449
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
8062
remove
nil
cons
cons
31
ref
8061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
912
remove
913
remove
8060
remove
nil
cons
cons
2450
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
subst
673
remove
8055
remove
appThm
2213
remove
appThm
trans
appThm
7160
ref
refl
appThm
nil
7335
remove
3685
remove
5297
remove
cons
cons
nil
cons
cons
6541
remove
subst
nil
63
ref
8036
ref
cons
nil
cons
nil
cons
cons
69
ref
subst
8026
remove
assume
eqMp
trans
trans
sym
68
ref
eqMp
eqMp
eqMp
182
ref
183
ref
8046
ref
nil
cons
cons
184
ref
8058
remove
cons
nil
cons
cons
nil
cons
cons
1530
remove
subst
proveHyp
nil
30
ref
1531
ref
8046
remove
appTerm
nil
cons
cons
31
ref
8024
remove
7160
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
687
remove
7160
remove
nil
cons
cons
8059
remove
cons
nil
cons
cons
4109
remove
subst
eqMp
eqMp
eqMp
nil
76
ref
8036
remove
cons
78
ref
8035
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
178
ref
8034
remove
appTerm
thm
nil
104
ref
4
ref
178
ref
522
ref
7008
ref
7407
remove
7059
ref
3593
ref
532
remove
943
ref
appTerm
appTerm
appTerm
8066
def
appTerm
7009
ref
appTerm
8067
def
appTerm
8068
def
absTerm
8069
def
appTerm
8070
def
absTerm
8071
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
4
ref
nil
63
ref
8070
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8069
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
522
ref
nil
63
ref
8068
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
80
ref
"_29150"
3
remove
var
8072
def
7008
ref
8072
remove
varTerm
appTerm
absTerm
8073
def
8067
remove
appTerm
betaConv
appThm
596
ref
7416
remove
8073
ref
8066
ref
appTerm
betaConv
appThm
appThm
7419
remove
8073
ref
7009
remove
appTerm
betaConv
appThm
appThm
appThm
nil
7420
remove
7421
remove
8066
ref
nil
cons
cons
7423
remove
cons
cons
nil
cons
cons
nil
7424
remove
8073
remove
nil
cons
cons
nil
cons
nil
cons
cons
7425
remove
subst
subst
eqMp
sym
nil
7426
remove
31
ref
7008
remove
8066
remove
appTerm
8074
def
nil
cons
8075
def
cons
nil
cons
8076
def
cons
nil
cons
cons
8077
def
49
ref
subst
8077
remove
121
ref
subst
nil
578
remove
7440
remove
nil
cons
8078
def
cons
nil
cons
cons
5230
remove
subst
7431
remove
eqMp
nil
30
ref
1531
remove
4002
ref
528
remove
7058
remove
4005
ref
appTerm
8079
def
appTerm
8080
def
absTerm
8081
def
appTerm
8082
def
nil
cons
cons
8076
ref
cons
nil
cons
cons
101
ref
subst
proveHyp
nil
183
ref
4002
ref
32
ref
8081
ref
4005
ref
appTerm
8083
def
appTerm
8074
ref
appTerm
8084
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
4002
remove
nil
63
ref
8084
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
30
ref
8083
ref
nil
cons
8085
def
cons
8076
ref
cons
nil
cons
cons
8086
def
49
ref
subst
8086
remove
121
ref
subst
8083
ref
betaConv
8083
remove
assume
eqMp
nil
30
ref
8080
ref
nil
cons
8087
def
cons
8076
remove
cons
nil
cons
cons
8088
def
101
ref
subst
proveHyp
8088
ref
49
ref
subst
8088
remove
121
ref
subst
13
ref
"_29156"
162
remove
var
8089
def
497
ref
7007
ref
8089
remove
varTerm
8090
def
appTerm
appTerm
7059
ref
3593
ref
531
ref
8090
remove
appTerm
943
ref
appTerm
appTerm
appTerm
appTerm
absTerm
8091
def
525
ref
appTerm
8092
def
appTerm
refl
8091
ref
8079
ref
appTerm
betaConv
appThm
80
ref
8092
remove
betaConv
appThm
497
remove
7007
remove
8079
ref
appTerm
appTerm
7059
ref
3593
ref
531
remove
8079
remove
appTerm
943
remove
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
8091
remove
refl
8080
remove
assume
appThm
eqMp
sym
498
remove
5284
remove
7060
ref
525
ref
appTerm
8093
def
betaConv
7066
remove
7068
remove
nil
30
ref
7064
remove
cons
31
ref
7065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
ref
104
ref
7067
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7061
remove
nil
cons
cons
31
ref
8093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7060
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
subst
appThm
7059
ref
refl
3593
ref
refl
nil
4038
remove
8078
remove
cons
nil
cons
cons
7930
remove
subst
appThm
appThm
appThm
nil
105
remove
7059
remove
3593
remove
4005
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
548
remove
subst
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
76
ref
8087
remove
cons
78
ref
8075
remove
cons
nil
cons
8094
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
76
ref
8085
remove
cons
8094
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
30
ref
178
ref
184
remove
32
ref
8081
ref
1909
remove
appTerm
appTerm
8074
ref
appTerm
absTerm
appTerm
nil
cons
cons
31
ref
32
remove
8082
remove
appTerm
8074
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
8081
remove
nil
cons
cons
8094
ref
cons
nil
cons
cons
1600
remove
subst
eqMp
eqMp
eqMp
nil
7433
remove
8094
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
30
ref
7415
remove
8074
remove
appTerm
nil
cons
cons
31
ref
7418
remove
7010
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
121
ref
subst
proveHyp
nil
7436
remove
31
ref
7010
remove
nil
cons
8095
def
cons
nil
cons
8096
def
cons
nil
cons
cons
8097
def
49
ref
subst
8097
remove
121
ref
subst
7442
remove
nil
7443
remove
8096
remove
cons
nil
cons
cons
101
ref
subst
proveHyp
4
ref
7011
ref
absTerm
8098
def
16
remove
appTerm
8099
def
betaConv
522
ref
28
ref
8098
ref
appTerm
8100
def
absTerm
8101
def
525
ref
appTerm
8102
def
betaConv
7020
remove
nil
30
ref
7016
ref
cons
8103
def
31
ref
178
ref
8101
ref
appTerm
nil
cons
8104
def
cons
nil
cons
cons
nil
cons
cons
8105
def
101
ref
subst
proveHyp
8105
ref
49
ref
subst
8105
remove
121
ref
subst
nil
183
ref
8101
remove
nil
cons
cons
8106
def
nil
cons
nil
cons
cons
562
ref
subst
522
remove
nil
63
ref
8100
remove
nil
cons
8107
def
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
104
ref
8098
remove
nil
cons
cons
8108
def
nil
cons
nil
cons
cons
984
remove
subst
4
remove
nil
63
ref
7011
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
7012
ref
525
remove
appTerm
8109
def
betaConv
7018
remove
nil
8103
remove
31
ref
7017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
103
ref
104
remove
7019
remove
cons
107
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
7013
remove
nil
cons
cons
31
ref
8109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
ref
183
ref
7012
remove
nil
cons
cons
575
ref
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
76
remove
7016
remove
cons
78
ref
8104
ref
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
nil
30
ref
8104
remove
cons
31
ref
8102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
182
remove
8106
remove
575
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
ref
8107
remove
cons
31
ref
8099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
103
remove
8108
remove
107
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
7527
remove
78
ref
8095
remove
cons
nil
cons
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
28
remove
8071
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
3915
remove
absTerm
8110
def
appTerm
8111
def
absTerm
8112
def
appTerm
8113
def
absTerm
8114
def
appTerm
8115
def
absTerm
8116
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
8115
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8114
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
8113
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8112
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
8111
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8110
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
3916
remove
cons
nil
cons
nil
cons
cons
69
ref
subst
4206
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
8116
remove
appTerm
thm
nil
152
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
ref
301
ref
13
ref
3781
remove
1197
ref
appTerm
appTerm
3909
ref
4227
remove
appTerm
appTerm
8117
def
absTerm
8118
def
appTerm
8119
def
absTerm
8120
def
appTerm
8121
def
absTerm
8122
def
appTerm
8123
def
absTerm
8124
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
ref
nil
63
ref
8123
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8122
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1187
ref
nil
63
ref
8121
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8120
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
ref
nil
63
ref
8119
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8118
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
301
ref
nil
63
ref
8117
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
4249
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
ref
8124
remove
appTerm
thm
nil
152
ref
31
ref
150
ref
1188
ref
150
ref
1187
ref
178
ref
303
ref
178
remove
301
ref
13
ref
5553
remove
1193
remove
appTerm
1197
remove
appTerm
appTerm
5552
remove
19
ref
38
ref
160
ref
1190
ref
appTerm
8125
def
appTerm
1194
ref
appTerm
8126
def
appTerm
38
ref
160
ref
4388
remove
160
ref
1194
ref
appTerm
8127
def
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
8128
def
appTerm
1192
remove
appTerm
1196
remove
appTerm
appTerm
8129
def
absTerm
8130
def
appTerm
8131
def
absTerm
8132
def
appTerm
8133
def
absTerm
8134
def
appTerm
8135
def
absTerm
8136
def
appTerm
8137
def
absTerm
8138
def
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
31
ref
nil
63
ref
8137
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8136
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
subst
1188
remove
nil
63
ref
8135
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
152
ref
8134
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
remove
subst
1187
remove
nil
63
ref
8133
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
ref
8132
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
303
remove
nil
63
ref
8131
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
ref
subst
nil
183
remove
8130
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
remove
subst
301
remove
nil
63
ref
8129
remove
nil
cons
cons
nil
cons
nil
cons
cons
69
remove
subst
80
ref
3818
remove
5569
ref
subst
5559
ref
refl
8139
def
4249
remove
4207
ref
4208
ref
nil
4978
remove
1333
remove
cons
4977
remove
1210
remove
cons
nil
cons
cons
nil
cons
cons
8140
def
5527
remove
subst
appThm
appThm
trans
appThm
4206
remove
4207
remove
4208
remove
8140
remove
5546
remove
subst
appThm
appThm
trans
appThm
trans
appThm
nil
3865
remove
3866
remove
31
ref
8128
ref
nil
cons
8141
def
cons
nil
cons
cons
cons
nil
cons
cons
5569
remove
subst
appThm
sym
13
ref
5559
ref
3909
ref
3910
ref
19
ref
8125
remove
appTerm
1194
ref
appTerm
8142
def
appTerm
8143
def
appTerm
appTerm
3909
ref
3910
remove
8126
ref
appTerm
8144
def
appTerm
appTerm
appTerm
8145
def
refl
994
ref
8128
remove
appTerm
8146
def
refl
8147
def
3946
remove
appThm
3904
ref
refl
appThm
appThm
sym
nil
3906
remove
31
ref
8145
remove
8146
ref
3909
remove
1203
ref
appTerm
appTerm
3904
remove
appTerm
appTerm
nil
cons
8148
def
cons
nil
cons
8149
def
cons
nil
cons
cons
8150
def
49
ref
subst
8150
remove
121
ref
subst
nil
3921
remove
8149
ref
cons
nil
cons
cons
8151
def
49
ref
subst
8151
remove
121
ref
subst
80
ref
8139
ref
3927
ref
3930
ref
8142
ref
refl
8152
def
appThm
nil
63
ref
8142
ref
nil
cons
cons
nil
cons
nil
cons
cons
8153
def
1318
ref
subst
trans
appThm
2081
ref
trans
appThm
3927
ref
3930
remove
8126
ref
refl
8154
def
appThm
nil
63
ref
8126
ref
nil
cons
cons
nil
cons
nil
cons
cons
8155
def
1318
ref
subst
trans
appThm
2081
ref
trans
appThm
nil
646
ref
284
ref
71
remove
cons
nil
cons
8156
def
cons
nil
cons
cons
138
remove
"t"
108
remove
var
8157
def
266
remove
309
remove
287
ref
appTerm
8157
remove
varTerm
8158
def
appTerm
8158
ref
appTerm
appTerm
8158
ref
appTerm
absTerm
8159
def
8158
ref
appTerm
8160
def
betaConv
284
ref
111
remove
8159
ref
appTerm
8161
def
absTerm
8162
def
287
remove
appTerm
8163
def
betaConv
nil
150
ref
8162
ref
appTerm
8164
def
axiom
nil
30
ref
8164
remove
nil
cons
cons
31
ref
8163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
ref
subst
proveHyp
136
remove
152
remove
8162
remove
nil
cons
cons
299
remove
cons
nil
cons
cons
132
ref
subst
eqMp
eqMp
nil
30
remove
8161
remove
nil
cons
cons
31
ref
8160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
101
remove
subst
proveHyp
320
remove
112
remove
8159
remove
nil
cons
cons
116
remove
8158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
132
remove
subst
eqMp
eqMp
subst
8165
def
subst
8166
def
trans
appThm
8147
ref
3947
remove
appThm
3926
ref
appThm
nil
646
remove
284
remove
8141
remove
cons
nil
cons
8167
def
cons
nil
cons
cons
8165
ref
subst
trans
appThm
653
ref
trans
sym
68
ref
eqMp
eqMp
nil
4166
remove
78
ref
8148
ref
cons
nil
cons
8168
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4168
remove
8149
ref
cons
nil
cons
cons
8169
def
49
ref
subst
8169
remove
121
ref
subst
80
ref
8139
ref
3927
ref
4190
ref
8152
remove
appThm
8153
ref
749
ref
subst
trans
appThm
8153
remove
1029
ref
subst
trans
appThm
3927
ref
4190
remove
8154
remove
appThm
8155
ref
749
ref
subst
trans
appThm
8155
remove
1029
ref
subst
trans
appThm
appThm
8147
ref
3927
remove
4189
remove
appThm
5782
remove
trans
appThm
3926
remove
appThm
appThm
sym
nil
4298
remove
31
ref
13
ref
5559
ref
8142
remove
appTerm
8126
remove
appTerm
appTerm
8146
remove
55
ref
appTerm
191
ref
appTerm
appTerm
nil
cons
8170
def
cons
nil
cons
8171
def
cons
nil
cons
cons
8172
def
49
ref
subst
8172
remove
121
ref
subst
13
ref
"_29242"
1
ref
var
8173
def
13
ref
5559
ref
19
ref
160
ref
8173
remove
varTerm
8174
def
appTerm
8175
def
appTerm
1194
ref
appTerm
appTerm
38
ref
8175
remove
appTerm
1194
ref
appTerm
8176
def
appTerm
appTerm
994
ref
19
ref
8176
remove
appTerm
38
ref
160
ref
38
ref
8174
remove
appTerm
8127
ref
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
8177
def
1190
remove
appTerm
8178
def
appTerm
refl
8179
def
8177
ref
191
ref
appTerm
betaConv
appThm
80
ref
8178
remove
betaConv
appThm
8180
def
13
ref
5559
ref
5475
ref
1194
ref
appTerm
appTerm
1656
ref
1194
ref
appTerm
8181
def
appTerm
appTerm
994
ref
19
ref
8181
remove
appTerm
38
ref
160
ref
1314
ref
8127
ref
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
8182
def
refl
appThm
trans
8177
remove
refl
8183
def
4308
remove
appThm
eqMp
sym
nil
4270
ref
31
ref
8182
remove
nil
cons
8184
def
cons
nil
cons
8185
def
cons
nil
cons
cons
8186
def
49
ref
subst
8186
remove
121
ref
subst
13
ref
"_29250"
1
ref
var
8187
def
13
ref
5559
ref
5475
ref
8187
remove
varTerm
8188
def
appTerm
appTerm
1656
ref
8188
ref
appTerm
8189
def
appTerm
appTerm
994
ref
19
ref
8189
remove
appTerm
38
ref
160
ref
1314
ref
160
ref
8188
remove
appTerm
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
8190
def
1194
ref
appTerm
8191
def
appTerm
refl
8192
def
8190
ref
191
ref
appTerm
betaConv
appThm
80
ref
8191
remove
betaConv
appThm
8193
def
13
ref
5559
ref
5487
remove
appTerm
1656
ref
191
ref
appTerm
8194
def
appTerm
appTerm
994
ref
19
ref
8194
remove
appTerm
38
ref
160
ref
1314
ref
235
ref
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
refl
appThm
trans
8190
remove
refl
8195
def
4279
ref
appThm
eqMp
sym
80
ref
8139
ref
5491
remove
appThm
5490
ref
4442
ref
subst
8196
def
appThm
appThm
1030
ref
134
ref
8196
remove
appThm
596
ref
161
ref
5490
ref
1318
ref
subst
appThm
236
ref
trans
appThm
44
ref
appThm
72
ref
749
ref
subst
8197
def
trans
appThm
72
ref
1029
remove
subst
8198
def
trans
appThm
87
ref
appThm
1663
ref
appThm
appThm
nil
153
remove
5559
ref
55
ref
appTerm
191
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
269
remove
subst
8199
def
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4284
ref
78
ref
8184
ref
cons
nil
cons
8200
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4288
ref
8185
remove
cons
nil
cons
cons
8201
def
49
ref
subst
8201
remove
121
ref
subst
8192
remove
"_29248"
1
ref
var
8202
def
13
ref
5559
ref
5475
remove
8202
remove
varTerm
8203
def
appTerm
appTerm
1656
ref
8203
ref
appTerm
8204
def
appTerm
appTerm
994
ref
19
ref
8204
remove
appTerm
38
ref
160
ref
1314
ref
160
ref
8203
remove
appTerm
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
8193
remove
13
ref
5559
ref
5496
remove
appTerm
1656
remove
55
ref
appTerm
8205
def
appTerm
appTerm
994
ref
19
ref
8205
remove
appTerm
38
ref
160
ref
1314
remove
1310
ref
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
refl
appThm
trans
8195
remove
4291
ref
appThm
eqMp
sym
80
ref
8139
ref
5497
remove
appThm
5490
ref
4001
ref
subst
236
ref
trans
8206
def
appThm
nil
271
ref
8156
remove
cons
nil
cons
cons
8165
ref
subst
8207
def
trans
appThm
1030
ref
134
ref
8206
remove
appThm
596
ref
161
ref
5519
ref
1318
ref
subst
appThm
236
ref
trans
appThm
44
ref
appThm
8197
ref
trans
appThm
72
ref
156
ref
subst
trans
appThm
87
ref
appThm
1663
ref
appThm
nil
1033
remove
198
remove
cons
1034
remove
270
remove
cons
nil
cons
cons
nil
cons
cons
8208
def
1036
remove
subst
trans
appThm
957
ref
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4321
ref
8200
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4323
ref
nil
4321
ref
4324
ref
839
ref
8184
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
4309
remove
78
ref
8170
ref
cons
nil
cons
8209
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4313
remove
8171
remove
cons
nil
cons
cons
8210
def
49
ref
subst
8210
remove
121
ref
subst
8179
remove
"_29240"
1
ref
var
8211
def
13
ref
5559
ref
19
ref
160
ref
8211
remove
varTerm
8212
def
appTerm
8213
def
appTerm
1194
ref
appTerm
appTerm
38
ref
8213
remove
appTerm
1194
ref
appTerm
8214
def
appTerm
appTerm
994
ref
19
ref
8214
remove
appTerm
38
ref
160
ref
38
ref
8212
remove
appTerm
8127
ref
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
8180
remove
13
ref
5559
ref
5503
ref
1194
ref
appTerm
appTerm
1747
ref
1194
ref
appTerm
8215
def
appTerm
appTerm
994
ref
19
ref
8215
remove
appTerm
38
ref
160
ref
745
ref
8127
remove
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
8216
def
refl
appThm
trans
8183
remove
4316
remove
appThm
eqMp
sym
nil
4270
remove
31
remove
8216
remove
nil
cons
8217
def
cons
nil
cons
8218
def
cons
nil
cons
cons
8219
def
49
ref
subst
8219
remove
121
ref
subst
13
ref
"_29246"
1
ref
var
8220
def
13
ref
5559
ref
5503
ref
8220
remove
varTerm
8221
def
appTerm
appTerm
1747
ref
8221
ref
appTerm
8222
def
appTerm
appTerm
994
ref
19
ref
8222
remove
appTerm
38
ref
160
ref
745
ref
160
ref
8221
remove
appTerm
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
8223
def
1194
remove
appTerm
8224
def
appTerm
refl
8225
def
8223
ref
191
ref
appTerm
betaConv
appThm
80
ref
8224
remove
betaConv
appThm
8226
def
13
ref
5559
ref
5514
remove
appTerm
1747
ref
191
ref
appTerm
8227
def
appTerm
appTerm
994
ref
19
ref
8227
remove
appTerm
38
ref
160
ref
745
ref
235
remove
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
refl
appThm
trans
8223
remove
refl
8228
def
4279
remove
appThm
eqMp
sym
80
ref
8139
ref
5520
remove
appThm
5519
ref
4442
remove
subst
8229
def
appThm
8166
remove
trans
appThm
1030
ref
134
ref
8229
remove
appThm
596
ref
161
ref
5490
remove
749
ref
subst
236
ref
trans
appThm
1311
ref
trans
appThm
44
ref
appThm
72
remove
1318
remove
subst
trans
appThm
2081
remove
trans
appThm
87
ref
appThm
1663
ref
appThm
8208
remove
1080
remove
subst
trans
appThm
653
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4284
remove
78
remove
8217
ref
cons
nil
cons
8230
def
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
4288
remove
8218
remove
cons
nil
cons
cons
8231
def
49
ref
subst
8231
remove
121
ref
subst
8225
remove
"_29244"
1
remove
var
8232
def
13
ref
5559
ref
5503
remove
8232
remove
varTerm
8233
def
appTerm
appTerm
1747
ref
8233
ref
appTerm
8234
def
appTerm
appTerm
994
ref
19
ref
8234
remove
appTerm
38
ref
160
ref
745
ref
160
ref
8233
remove
appTerm
appTerm
appTerm
appTerm
35
ref
appTerm
appTerm
appTerm
55
ref
appTerm
191
ref
appTerm
appTerm
absTerm
55
ref
appTerm
betaConv
appThm
8226
remove
13
remove
5559
remove
5525
remove
appTerm
1747
remove
55
ref
appTerm
8235
def
appTerm
appTerm
994
remove
19
remove
8235
remove
appTerm
38
remove
160
remove
745
remove
1310
remove
appTerm
appTerm
appTerm
35
remove
appTerm
appTerm
appTerm
55
remove
appTerm
191
remove
appTerm
appTerm
refl
appThm
trans
8228
remove
4291
remove
appThm
eqMp
sym
80
ref
8139
ref
5526
remove
appThm
5519
ref
4001
remove
subst
1311
ref
trans
8236
def
appThm
appThm
1030
remove
134
remove
8236
remove
appThm
596
remove
161
remove
5519
remove
749
remove
subst
1311
remove
trans
appThm
236
remove
trans
appThm
44
remove
appThm
8197
remove
trans
appThm
8198
remove
trans
appThm
87
remove
appThm
1663
remove
appThm
appThm
8199
remove
trans
sym
68
ref
eqMp
eqMp
eqMp
nil
4321
ref
8230
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4323
remove
nil
4321
remove
4324
remove
839
ref
8217
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
4317
ref
8209
remove
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4319
remove
nil
4317
remove
4320
remove
839
ref
8170
remove
cons
nil
cons
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
3928
ref
8168
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
4192
remove
nil
3928
remove
4193
remove
839
remove
8148
remove
cons
nil
cons
8237
def
cons
cons
nil
cons
cons
852
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
4195
remove
8168
ref
cons
nil
cons
cons
92
ref
subst
deductAntisym
eqMp
nil
3950
remove
8149
remove
cons
nil
cons
cons
8238
def
49
remove
subst
8238
remove
121
remove
subst
80
remove
8139
remove
4198
ref
8143
ref
refl
appThm
nil
63
ref
8143
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
trans
appThm
4198
ref
8144
ref
refl
appThm
nil
63
ref
8144
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
trans
appThm
8207
remove
trans
appThm
8147
remove
4198
remove
1203
remove
refl
appThm
nil
63
remove
1338
remove
cons
nil
cons
nil
cons
cons
156
remove
subst
trans
appThm
4197
remove
appThm
nil
271
remove
8167
remove
cons
nil
cons
cons
8165
remove
subst
trans
appThm
957
remove
trans
sym
68
remove
eqMp
eqMp
nil
3925
ref
8168
remove
cons
nil
cons
cons
92
remove
subst
deductAntisym
eqMp
4204
remove
nil
3925
remove
4205
remove
8237
remove
cons
cons
nil
cons
cons
852
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
150
remove
8138
remove
appTerm
thm