reference documentation

Article list-zip-thm.art

path: "vendor/opentheory/data/theories/list-zip-thm/list-zip-thm.art"

252523 bytes
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22
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22
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244
ref
"B"
9
ref
cons
nil
cons
cons
162
ref
cons
277
def
"f"
15
ref
17
remove
opType
278
def
var
279
def
14
ref
15
ref
3
ref
39
ref
nil
cons
cons
opType
constTerm
280
def
"Data.List.map"
const
281
def
15
ref
278
ref
15
ref
190
remove
opType
nil
cons
cons
opType
constTerm
279
ref
varTerm
282
def
appTerm
283
def
12
ref
appTerm
appTerm
6
ref
appTerm
absTerm
284
def
282
ref
appTerm
285
def
betaConv
nil
38
ref
15
ref
15
ref
278
ref
22
ref
cons
opType
286
def
22
ref
cons
opType
constTerm
287
def
284
ref
appTerm
288
def
axiom
nil
49
ref
288
remove
nil
cons
cons
50
ref
285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
278
ref
nil
cons
cons
nil
cons
289
def
"P"
286
ref
var
290
def
284
remove
nil
cons
cons
"x"
278
ref
var
291
def
282
ref
nil
cons
cons
nil
cons
292
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
293
def
subst
subst
appThm
nil
"f"
15
ref
18
ref
2
ref
cons
opType
294
def
var
"Data.Pair.snd"
const
294
ref
constTerm
295
def
nil
cons
cons
nil
cons
nil
cons
cons
296
def
244
ref
160
ref
nil
cons
cons
162
ref
cons
297
def
293
remove
subst
subst
appThm
appThm
nil
"x"
191
ref
var
298
def
242
remove
cons
nil
cons
nil
cons
cons
"A"
192
remove
cons
nil
cons
299
def
162
ref
cons
nil
84
ref
14
ref
15
ref
8
ref
127
ref
nil
cons
300
def
cons
opType
constTerm
301
def
135
ref
appTerm
302
def
135
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
149
remove
eqMp
303
def
subst
304
def
subst
trans
sym
89
ref
eqMp
nil
49
ref
270
ref
219
ref
281
ref
15
ref
274
ref
15
ref
20
ref
121
ref
cons
opType
nil
cons
cons
opType
constTerm
275
ref
appTerm
305
def
189
ref
appTerm
appTerm
281
remove
15
ref
294
ref
15
ref
20
ref
151
ref
cons
opType
nil
cons
cons
opType
constTerm
295
ref
appTerm
306
def
189
ref
appTerm
appTerm
appTerm
307
def
nil
cons
cons
50
ref
38
ref
15
ref
15
ref
18
ref
22
ref
cons
opType
308
def
22
ref
cons
opType
309
def
constTerm
310
def
"h"
18
ref
var
311
def
38
ref
15
ref
23
ref
22
ref
cons
opType
312
def
constTerm
313
def
"t"
20
ref
var
314
def
54
ref
217
ref
194
ref
314
ref
varTerm
315
def
appTerm
316
def
appTerm
317
def
219
ref
305
ref
315
ref
appTerm
318
def
appTerm
306
ref
315
ref
appTerm
319
def
appTerm
320
def
appTerm
321
def
appTerm
217
ref
194
ref
225
ref
15
ref
18
ref
15
ref
20
ref
25
ref
cons
opType
nil
cons
322
def
cons
opType
constTerm
323
def
311
ref
varTerm
324
def
appTerm
315
ref
appTerm
325
def
appTerm
appTerm
326
def
219
ref
305
ref
325
ref
appTerm
appTerm
306
ref
325
ref
appTerm
appTerm
appTerm
327
def
appTerm
328
def
absTerm
329
def
appTerm
330
def
absTerm
331
def
appTerm
332
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
"P"
308
ref
var
333
def
331
remove
nil
cons
cons
nil
cons
nil
cons
cons
244
remove
nil
cons
334
def
162
ref
cons
335
def
53
ref
132
remove
appTerm
refl
144
remove
appThm
148
remove
eqMp
sym
336
def
subst
337
def
subst
311
ref
nil
84
ref
330
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
"P"
23
ref
var
338
def
329
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
25
remove
cons
nil
cons
339
def
162
ref
cons
340
def
336
ref
subst
341
def
subst
314
ref
nil
84
ref
328
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
321
ref
nil
cons
342
def
cons
50
ref
327
remove
nil
cons
343
def
cons
nil
cons
cons
nil
cons
cons
344
def
71
ref
subst
344
remove
139
ref
subst
326
ref
refl
273
remove
276
remove
277
remove
"t"
10
ref
var
345
def
280
ref
283
ref
227
ref
"h"
8
ref
var
346
def
varTerm
347
def
appTerm
348
def
345
ref
varTerm
349
def
appTerm
350
def
appTerm
appTerm
232
ref
282
ref
347
ref
appTerm
appTerm
283
remove
349
ref
appTerm
appTerm
appTerm
absTerm
351
def
349
ref
appTerm
352
def
betaConv
346
ref
47
ref
351
ref
appTerm
353
def
absTerm
354
def
347
ref
appTerm
355
def
betaConv
279
remove
129
ref
354
ref
appTerm
356
def
absTerm
357
def
282
remove
appTerm
358
def
betaConv
nil
287
ref
357
ref
appTerm
359
def
axiom
nil
49
ref
359
remove
nil
cons
cons
50
ref
358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
289
ref
290
ref
357
remove
nil
cons
cons
292
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
356
remove
nil
cons
cons
50
ref
355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
159
ref
nil
cons
360
def
130
ref
354
remove
nil
cons
cons
134
ref
347
ref
nil
cons
cons
nil
cons
361
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
353
remove
nil
cons
cons
50
ref
352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
351
remove
nil
cons
cons
125
ref
349
ref
nil
cons
cons
nil
cons
362
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
363
def
subst
subst
appThm
296
remove
297
remove
363
remove
subst
subst
appThm
appThm
nil
215
ref
319
remove
nil
cons
cons
207
ref
295
ref
324
ref
appTerm
nil
cons
cons
214
ref
318
remove
nil
cons
cons
134
ref
275
ref
324
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
"x"
18
ref
var
364
def
"Data.Bool.?"
const
365
def
128
ref
constTerm
366
def
"a"
8
ref
var
367
def
365
ref
205
remove
constTerm
368
def
246
ref
14
ref
15
ref
18
ref
308
remove
nil
cons
cons
opType
constTerm
369
def
364
ref
varTerm
370
def
appTerm
34
ref
367
ref
varTerm
371
def
appTerm
251
ref
appTerm
372
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
373
def
324
ref
appTerm
374
def
betaConv
nil
310
ref
373
ref
appTerm
375
def
axiom
376
def
nil
49
ref
375
remove
nil
cons
cons
50
ref
374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
334
ref
333
ref
373
remove
nil
cons
cons
364
ref
324
ref
nil
cons
377
def
cons
nil
cons
378
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
379
def
nil
49
ref
366
ref
367
ref
368
ref
246
ref
369
ref
324
ref
appTerm
380
def
372
ref
appTerm
381
def
absTerm
382
def
appTerm
383
def
absTerm
384
def
appTerm
385
def
nil
cons
cons
386
def
50
ref
53
ref
326
ref
235
ref
appTerm
appTerm
60
ref
380
ref
211
ref
appTerm
387
def
appTerm
388
def
317
ref
223
ref
appTerm
389
def
appTerm
appTerm
390
def
nil
cons
391
def
cons
nil
cons
392
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
130
ref
367
ref
54
ref
384
ref
371
ref
appTerm
393
def
appTerm
394
def
390
ref
appTerm
395
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
367
ref
nil
84
ref
395
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
393
ref
nil
cons
396
def
cons
397
def
392
ref
cons
nil
cons
cons
398
def
71
ref
subst
398
remove
139
ref
subst
393
ref
betaConv
393
remove
assume
eqMp
399
def
nil
49
ref
383
ref
nil
cons
cons
400
def
392
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
265
ref
246
ref
54
ref
382
ref
251
ref
appTerm
401
def
appTerm
402
def
390
ref
appTerm
403
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
264
ref
162
ref
cons
404
def
336
ref
subst
405
def
subst
246
ref
nil
84
ref
403
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
401
ref
nil
cons
406
def
cons
407
def
392
ref
cons
nil
cons
cons
408
def
71
ref
subst
408
remove
139
ref
subst
401
ref
betaConv
401
remove
assume
eqMp
409
def
nil
49
ref
381
ref
nil
cons
410
def
cons
411
def
392
remove
cons
nil
cons
cons
412
def
120
ref
subst
proveHyp
412
ref
71
ref
subst
412
remove
139
ref
subst
53
ref
"_16732"
18
ref
var
413
def
53
ref
217
ref
194
ref
323
ref
413
remove
varTerm
414
def
appTerm
315
ref
appTerm
appTerm
appTerm
235
ref
appTerm
appTerm
60
ref
369
ref
414
remove
appTerm
211
ref
appTerm
appTerm
389
ref
appTerm
appTerm
absTerm
415
def
324
ref
appTerm
416
def
appTerm
refl
415
ref
372
ref
appTerm
betaConv
appThm
99
ref
416
remove
betaConv
appThm
53
ref
217
ref
194
ref
323
ref
372
ref
appTerm
315
ref
appTerm
417
def
appTerm
appTerm
418
def
235
ref
appTerm
appTerm
60
ref
369
ref
372
ref
appTerm
419
def
211
ref
appTerm
appTerm
420
def
389
ref
appTerm
appTerm
421
def
refl
appThm
trans
415
remove
refl
381
remove
assume
422
def
appThm
eqMp
sym
298
ref
365
ref
46
ref
constTerm
423
def
"a"
10
ref
var
424
def
365
ref
40
remove
constTerm
425
def
"b"
3
ref
var
426
def
217
ref
298
ref
varTerm
appTerm
219
ref
424
ref
varTerm
427
def
appTerm
426
ref
varTerm
428
def
appTerm
429
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
430
def
316
ref
appTerm
431
def
betaConv
122
remove
"B"
151
ref
cons
nil
cons
cons
162
ref
cons
432
def
376
remove
subst
nil
49
ref
38
ref
15
ref
216
ref
22
ref
cons
opType
constTerm
430
ref
appTerm
nil
cons
cons
50
ref
431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
299
remove
"P"
216
remove
var
430
remove
nil
cons
cons
298
ref
316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
433
def
nil
49
ref
423
ref
424
ref
425
ref
426
ref
317
ref
429
ref
appTerm
absTerm
appTerm
absTerm
434
def
appTerm
435
def
nil
cons
cons
436
def
50
ref
421
ref
nil
cons
437
def
cons
nil
cons
438
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
"xt"
10
ref
var
439
def
54
ref
434
ref
439
ref
varTerm
440
def
appTerm
441
def
appTerm
442
def
421
ref
appTerm
443
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
123
ref
162
ref
cons
444
def
336
ref
subst
445
def
subst
439
ref
nil
84
ref
443
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
441
ref
nil
cons
446
def
cons
447
def
438
ref
cons
nil
cons
cons
448
def
71
ref
subst
448
remove
139
ref
subst
441
ref
betaConv
441
remove
assume
eqMp
449
def
nil
49
ref
425
ref
426
ref
317
ref
219
ref
440
ref
appTerm
450
def
428
ref
appTerm
appTerm
absTerm
451
def
appTerm
452
def
nil
cons
cons
453
def
438
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
"yt"
3
ref
var
454
def
54
ref
451
ref
454
ref
varTerm
455
def
appTerm
456
def
appTerm
457
def
421
ref
appTerm
458
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
152
ref
162
ref
cons
459
def
336
ref
subst
460
def
subst
454
ref
nil
84
ref
458
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
456
ref
nil
cons
461
def
cons
462
def
438
ref
cons
nil
cons
cons
463
def
71
ref
subst
463
remove
139
ref
subst
456
ref
betaConv
456
remove
assume
eqMp
464
def
nil
49
ref
317
remove
450
remove
455
ref
appTerm
465
def
appTerm
nil
cons
cons
466
def
438
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
54
ref
refl
467
def
271
ref
241
ref
315
ref
refl
appThm
appThm
468
def
465
ref
refl
appThm
appThm
469
def
99
ref
271
ref
241
remove
417
ref
refl
appThm
nil
311
ref
372
ref
nil
cons
cons
470
def
243
remove
cons
nil
cons
cons
245
remove
345
ref
247
ref
252
ref
350
ref
appTerm
appTerm
250
ref
347
ref
appTerm
252
remove
349
ref
appTerm
appTerm
appTerm
absTerm
471
def
349
ref
appTerm
472
def
betaConv
346
ref
47
ref
471
ref
appTerm
473
def
absTerm
474
def
347
ref
appTerm
475
def
betaConv
246
ref
129
ref
474
ref
appTerm
476
def
absTerm
477
def
251
ref
appTerm
478
def
betaConv
249
remove
206
ref
477
ref
appTerm
479
def
absTerm
480
def
250
remove
appTerm
481
def
betaConv
nil
259
remove
480
ref
appTerm
482
def
axiom
nil
49
ref
482
remove
nil
cons
cons
50
ref
481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
261
remove
262
remove
480
remove
nil
cons
cons
263
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
479
remove
nil
cons
cons
50
ref
478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
477
remove
nil
cons
cons
268
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
476
remove
nil
cons
cons
50
ref
475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
474
remove
nil
cons
cons
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
473
remove
nil
cons
cons
50
ref
472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
471
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
subst
nil
207
ref
267
ref
cons
134
ref
371
ref
nil
cons
483
def
cons
nil
cons
484
def
cons
nil
cons
cons
207
ref
209
ref
202
remove
"_16744"
198
ref
var
485
def
129
ref
134
ref
206
ref
207
ref
209
ref
485
remove
varTerm
211
ref
appTerm
appTerm
236
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
486
def
appTerm
487
def
211
ref
appTerm
appTerm
236
ref
appTerm
absTerm
488
def
210
ref
appTerm
489
def
betaConv
134
ref
206
ref
488
ref
appTerm
490
def
absTerm
491
def
135
ref
appTerm
492
def
betaConv
486
ref
487
remove
appTerm
493
def
betaConv
486
ref
"_16742"
18
ref
var
494
def
212
ref
213
ref
47
ref
214
ref
41
ref
215
ref
224
ref
219
ref
227
ref
199
ref
15
ref
15
ref
274
ref
22
ref
cons
opType
495
def
274
ref
nil
cons
496
def
cons
opType
constTerm
"fn"
274
remove
var
497
def
129
ref
367
ref
206
ref
246
ref
301
ref
497
ref
varTerm
372
ref
appTerm
appTerm
498
def
371
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
499
def
appTerm
500
def
494
remove
varTerm
501
def
appTerm
appTerm
220
ref
appTerm
appTerm
232
ref
199
ref
15
ref
15
ref
294
ref
22
ref
cons
opType
502
def
294
ref
nil
cons
503
def
cons
opType
constTerm
"fn"
294
remove
var
504
def
129
ref
367
ref
206
ref
246
ref
247
ref
504
ref
varTerm
372
ref
appTerm
appTerm
505
def
251
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
506
def
appTerm
507
def
501
remove
appTerm
appTerm
222
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
508
def
appTerm
betaConv
sym
nil
130
ref
134
ref
206
ref
207
ref
209
ref
508
ref
211
ref
appTerm
509
def
appTerm
236
remove
appTerm
510
def
absTerm
511
def
appTerm
512
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
512
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
265
ref
511
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
510
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
509
remove
betaConv
209
ref
"_16739"
1
ref
var
513
def
212
ref
213
ref
47
ref
214
ref
41
ref
215
ref
224
ref
230
remove
232
ref
513
ref
varTerm
appTerm
222
ref
appTerm
514
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
210
ref
appTerm
515
def
appTerm
refl
513
ref
212
ref
213
ref
47
ref
214
ref
41
ref
215
ref
224
ref
219
ref
227
ref
500
ref
211
ref
appTerm
516
def
appTerm
220
ref
appTerm
appTerm
517
def
514
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
518
def
507
ref
211
ref
appTerm
519
def
appTerm
betaConv
appThm
209
remove
refl
515
remove
betaConv
appThm
212
ref
213
ref
47
ref
214
ref
41
ref
215
ref
224
ref
517
remove
232
ref
519
remove
appTerm
222
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
refl
appThm
trans
14
ref
15
ref
15
ref
1
ref
197
ref
cons
opType
520
def
15
ref
520
remove
22
ref
cons
opType
nil
cons
cons
opType
constTerm
521
def
"_16738"
8
ref
var
522
def
513
remove
212
ref
213
ref
47
ref
214
ref
41
ref
215
ref
224
ref
219
ref
227
ref
522
remove
varTerm
appTerm
220
ref
appTerm
appTerm
514
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
absTerm
523
def
135
ref
appTerm
524
def
appTerm
refl
523
ref
516
remove
appTerm
betaConv
appThm
521
remove
refl
524
remove
betaConv
appThm
518
remove
refl
appThm
trans
523
remove
refl
nil
246
ref
210
ref
nil
cons
525
def
cons
367
ref
135
ref
nil
cons
526
def
cons
nil
cons
cons
nil
cons
cons
527
def
246
ref
301
ref
500
ref
372
ref
appTerm
appTerm
371
ref
appTerm
absTerm
528
def
251
ref
appTerm
529
def
betaConv
367
ref
206
ref
528
ref
appTerm
530
def
absTerm
531
def
371
ref
appTerm
532
def
betaConv
499
ref
500
remove
appTerm
533
def
betaConv
365
ref
15
ref
495
ref
22
ref
cons
opType
constTerm
534
def
refl
497
remove
129
ref
refl
535
def
367
ref
206
ref
refl
536
def
246
ref
498
remove
refl
367
ref
246
ref
371
ref
absTerm
537
def
absTerm
538
def
371
ref
appTerm
betaConv
251
ref
refl
539
def
appThm
537
remove
251
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
9
ref
cons
nil
cons
"_1371"
15
ref
8
ref
15
ref
1
ref
9
ref
cons
opType
nil
cons
cons
opType
var
538
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
167
ref
367
ref
246
ref
"_1371"
166
remove
var
varTerm
371
ref
appTerm
251
ref
appTerm
540
def
absTerm
541
def
absTerm
542
def
nil
cons
cons
nil
cons
nil
cons
cons
167
ref
365
ref
15
ref
15
ref
15
ref
18
ref
165
ref
cons
opType
543
def
22
ref
cons
opType
544
def
22
ref
cons
opType
545
def
constTerm
546
def
"fn"
543
ref
var
547
def
129
ref
367
ref
206
ref
246
ref
14
ref
15
ref
164
ref
15
ref
164
ref
22
ref
cons
opType
548
def
nil
cons
cons
opType
constTerm
549
def
547
ref
varTerm
550
def
372
ref
appTerm
appTerm
551
def
172
ref
371
ref
appTerm
251
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
552
def
172
ref
appTerm
553
def
betaConv
nil
180
ref
552
ref
appTerm
554
def
axiom
nil
49
ref
554
remove
nil
cons
cons
50
ref
553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
182
ref
183
ref
552
remove
nil
cons
cons
184
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
nil
49
ref
546
ref
547
ref
129
ref
367
ref
206
ref
246
ref
551
ref
542
remove
371
ref
appTerm
555
def
251
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
556
def
absTerm
557
def
appTerm
558
def
nil
cons
cons
50
ref
546
remove
547
ref
129
ref
367
ref
206
ref
246
ref
551
ref
540
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
559
def
appTerm
560
def
nil
cons
561
def
cons
nil
cons
562
def
cons
nil
cons
cons
120
ref
subst
nil
"P"
544
remove
var
563
def
547
ref
54
ref
557
ref
550
ref
appTerm
564
def
appTerm
560
ref
appTerm
565
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
543
ref
nil
cons
cons
nil
cons
566
def
162
ref
cons
336
ref
subst
subst
547
remove
nil
84
ref
565
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
564
ref
nil
cons
567
def
cons
562
ref
cons
nil
cons
cons
568
def
71
ref
subst
568
remove
139
ref
subst
564
ref
betaConv
564
remove
assume
eqMp
nil
49
ref
556
ref
nil
cons
569
def
cons
562
remove
cons
nil
cons
cons
570
def
120
ref
subst
proveHyp
570
ref
71
ref
subst
570
remove
139
ref
subst
559
ref
550
ref
appTerm
betaConv
sym
535
ref
367
ref
536
ref
246
ref
551
remove
refl
555
remove
betaConv
539
ref
appThm
541
remove
251
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
556
remove
assume
eqMp
eqMp
566
ref
563
ref
559
remove
nil
cons
cons
"x"
543
remove
var
571
def
550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
53
ref
366
ref
131
ref
appTerm
572
def
appTerm
573
def
refl
141
ref
38
ref
79
remove
constTerm
574
def
50
ref
54
ref
129
ref
134
ref
54
ref
142
ref
135
ref
appTerm
575
def
appTerm
576
def
57
ref
appTerm
absTerm
appTerm
appTerm
57
ref
appTerm
absTerm
appTerm
absTerm
577
def
131
remove
appTerm
betaConv
appThm
nil
146
remove
366
ref
appTerm
577
remove
appTerm
axiom
147
remove
appThm
eqMp
578
def
sym
nil
"P"
51
ref
var
579
def
97
ref
54
ref
129
ref
134
ref
54
ref
136
ref
appTerm
580
def
102
ref
appTerm
581
def
absTerm
582
def
appTerm
583
def
appTerm
584
def
102
ref
appTerm
585
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
22
ref
cons
nil
cons
586
def
162
ref
cons
587
def
336
ref
subst
588
def
subst
97
ref
nil
84
ref
585
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
583
ref
nil
cons
589
def
cons
590
def
50
ref
102
ref
nil
cons
591
def
cons
nil
cons
592
def
cons
nil
cons
cons
593
def
71
ref
subst
593
ref
139
ref
subst
nil
49
ref
137
ref
cons
592
ref
cons
nil
cons
cons
594
def
120
ref
subst
595
def
582
ref
135
ref
appTerm
596
def
betaConv
nil
590
ref
50
ref
596
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
360
ref
130
ref
582
remove
nil
cons
cons
597
def
134
ref
526
ref
cons
nil
cons
598
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
599
def
eqMp
eqMp
nil
95
ref
589
ref
cons
600
def
97
ref
591
ref
cons
nil
cons
601
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
602
def
subst
proveHyp
eqMp
nil
95
ref
569
remove
cons
97
ref
561
remove
cons
nil
cons
603
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
567
remove
cons
603
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
38
ref
545
remove
constTerm
571
ref
54
ref
557
ref
571
remove
varTerm
appTerm
appTerm
560
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
558
remove
appTerm
560
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
566
remove
563
remove
557
remove
nil
cons
cons
603
remove
cons
nil
cons
cons
nil
590
ref
50
ref
54
ref
572
ref
appTerm
604
def
102
ref
appTerm
nil
cons
605
def
cons
nil
cons
cons
nil
cons
cons
606
def
71
ref
subst
606
remove
139
ref
subst
nil
49
ref
572
remove
nil
cons
607
def
cons
608
def
592
ref
cons
nil
cons
cons
609
def
71
ref
subst
609
remove
139
ref
subst
593
remove
120
ref
subst
50
ref
54
ref
129
ref
134
ref
580
remove
57
ref
appTerm
absTerm
appTerm
appTerm
57
ref
appTerm
absTerm
610
def
102
ref
appTerm
611
def
betaConv
nil
608
remove
50
ref
574
ref
610
ref
appTerm
612
def
nil
cons
613
def
cons
nil
cons
cons
nil
cons
cons
614
def
120
ref
subst
578
remove
nil
49
ref
573
remove
612
ref
appTerm
nil
cons
cons
50
ref
604
remove
612
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
614
remove
nil
49
ref
53
ref
55
ref
appTerm
615
def
57
ref
appTerm
616
def
nil
cons
617
def
cons
618
def
50
ref
58
ref
nil
cons
619
def
cons
nil
cons
620
def
cons
nil
cons
cons
621
def
71
ref
subst
621
remove
139
ref
subst
467
ref
616
remove
assume
622
def
appThm
66
remove
appThm
sym
nil
49
ref
92
ref
cons
623
def
50
ref
92
ref
cons
nil
cons
624
def
cons
nil
cons
cons
625
def
71
ref
subst
625
remove
139
ref
subst
93
remove
eqMp
nil
95
ref
92
remove
cons
98
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
626
def
eqMp
627
def
eqMp
nil
95
ref
617
remove
cons
628
def
97
ref
619
ref
cons
nil
cons
629
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
630
def
subst
eqMp
eqMp
nil
49
ref
613
remove
cons
50
ref
611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
610
remove
nil
cons
cons
"x"
21
ref
var
631
def
591
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
607
remove
cons
601
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
600
ref
97
ref
605
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
632
def
subst
eqMp
eqMp
proveHyp
633
def
subst
eqMp
nil
49
ref
534
remove
499
ref
appTerm
nil
cons
cons
50
ref
533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
496
remove
cons
nil
cons
"p"
495
remove
var
499
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
49
ref
366
ref
142
ref
appTerm
634
def
nil
cons
635
def
cons
636
def
50
ref
53
ref
142
ref
199
ref
15
ref
127
ref
9
ref
cons
opType
constTerm
142
ref
appTerm
appTerm
637
def
appTerm
638
def
76
ref
appTerm
639
def
nil
cons
640
def
cons
nil
cons
641
def
cons
nil
cons
cons
642
def
71
ref
subst
642
remove
139
ref
subst
366
ref
refl
nil
"t"
127
ref
var
142
ref
nil
cons
643
def
cons
nil
cons
nil
cons
cons
159
remove
"B"
22
ref
cons
nil
cons
cons
162
ref
cons
"t"
278
ref
var
644
def
14
ref
15
ref
278
remove
286
remove
nil
cons
cons
opType
constTerm
134
ref
644
remove
varTerm
645
def
135
ref
appTerm
absTerm
appTerm
645
ref
appTerm
absTerm
646
def
645
ref
appTerm
647
def
betaConv
nil
287
remove
646
ref
appTerm
648
def
axiom
nil
49
ref
648
remove
nil
cons
cons
50
ref
647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
289
remove
290
remove
646
remove
nil
cons
cons
291
remove
645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
84
ref
635
ref
cons
nil
cons
nil
cons
cons
649
def
90
ref
subst
634
ref
assume
eqMp
trans
sym
89
ref
eqMp
nil
49
ref
366
ref
134
ref
575
ref
absTerm
appTerm
nil
cons
cons
641
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
130
ref
643
ref
cons
97
ref
640
remove
cons
nil
cons
650
def
cons
nil
cons
cons
nil
590
remove
50
ref
54
ref
366
ref
134
ref
136
ref
absTerm
651
def
appTerm
652
def
appTerm
102
ref
appTerm
653
def
nil
cons
654
def
cons
nil
cons
655
def
cons
nil
cons
cons
656
def
627
remove
nil
49
ref
619
ref
cons
657
def
50
ref
54
ref
57
ref
appTerm
658
def
55
ref
appTerm
nil
cons
659
def
cons
nil
cons
660
def
cons
nil
cons
cons
139
ref
subst
proveHyp
658
ref
refl
622
remove
appThm
sym
626
remove
eqMp
661
def
eqMp
nil
623
ref
50
ref
85
ref
cons
nil
cons
662
def
cons
nil
cons
cons
120
ref
subst
nil
95
ref
619
remove
cons
663
def
97
ref
659
remove
cons
nil
cons
664
def
cons
nil
cons
cons
665
def
99
ref
103
remove
115
ref
appTerm
betaConv
115
remove
100
ref
appTerm
betaConv
105
ref
appThm
114
remove
102
ref
appTerm
betaConv
trans
trans
appThm
116
remove
appThm
110
remove
117
remove
appThm
eqMp
sym
89
ref
eqMp
666
def
subst
eqMp
120
ref
665
remove
111
ref
subst
eqMp
deductAntisym
deductAntisym
667
def
subst
656
ref
71
ref
subst
656
remove
139
ref
subst
nil
130
ref
134
ref
54
ref
651
ref
135
ref
appTerm
668
def
appTerm
102
ref
appTerm
669
def
absTerm
670
def
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
669
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
668
ref
nil
cons
671
def
cons
592
ref
cons
nil
cons
cons
672
def
71
ref
subst
672
remove
139
ref
subst
668
ref
betaConv
673
def
668
remove
assume
eqMp
595
remove
proveHyp
599
remove
eqMp
eqMp
nil
95
ref
671
remove
cons
601
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
670
remove
appTerm
nil
cons
cons
655
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
651
remove
nil
cons
cons
674
def
601
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
nil
600
remove
97
ref
654
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
49
ref
584
remove
653
ref
appTerm
nil
cons
cons
50
ref
54
ref
653
ref
appTerm
583
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
654
ref
cons
50
ref
589
ref
cons
nil
cons
cons
nil
cons
cons
675
def
71
ref
subst
675
remove
139
ref
subst
nil
597
remove
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
581
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
594
ref
71
ref
subst
594
remove
139
ref
subst
673
remove
sym
136
remove
assume
eqMp
360
ref
674
remove
598
ref
cons
nil
cons
cons
602
ref
subst
proveHyp
nil
49
ref
652
remove
nil
cons
cons
592
remove
cons
nil
cons
cons
120
ref
subst
653
remove
assume
eqMp
proveHyp
eqMp
nil
95
ref
137
remove
cons
601
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
95
ref
654
remove
cons
97
ref
589
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
130
ref
134
ref
576
ref
639
ref
appTerm
676
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
676
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
575
remove
nil
cons
677
def
cons
678
def
641
remove
cons
nil
cons
cons
679
def
71
ref
subst
679
remove
139
ref
subst
nil
84
ref
637
ref
nil
cons
680
def
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
678
remove
50
ref
680
remove
cons
681
def
nil
cons
cons
nil
cons
cons
120
ref
subst
134
ref
576
remove
637
ref
appTerm
absTerm
682
def
135
ref
appTerm
683
def
betaConv
141
remove
129
ref
682
ref
appTerm
684
def
absTerm
685
def
142
remove
appTerm
686
def
betaConv
nil
38
ref
145
remove
constTerm
685
ref
appTerm
687
def
axiom
nil
49
ref
687
remove
nil
cons
cons
50
ref
686
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
300
remove
cons
nil
cons
"P"
128
remove
var
685
remove
nil
cons
cons
"x"
127
remove
var
643
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
684
remove
nil
cons
cons
50
ref
683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
682
remove
nil
cons
cons
598
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
95
ref
677
remove
cons
650
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
95
ref
635
ref
cons
650
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
49
ref
54
ref
634
ref
appTerm
688
def
639
remove
appTerm
nil
cons
cons
50
ref
53
ref
688
ref
637
remove
appTerm
appTerm
689
def
688
ref
76
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
"q'"
21
ref
var
690
def
76
ref
nil
cons
691
def
cons
nil
cons
nil
cons
cons
634
ref
refl
nil
49
ref
53
ref
634
ref
appTerm
692
def
634
remove
appTerm
nil
cons
cons
50
ref
54
ref
688
ref
638
remove
690
ref
varTerm
693
def
appTerm
694
def
appTerm
appTerm
689
ref
688
remove
693
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
"p'"
21
ref
var
695
def
635
remove
cons
nil
cons
nil
cons
cons
690
ref
54
ref
692
remove
695
ref
varTerm
696
def
appTerm
appTerm
54
ref
54
ref
696
ref
appTerm
697
def
694
remove
appTerm
appTerm
689
remove
697
ref
693
ref
appTerm
698
def
appTerm
appTerm
appTerm
absTerm
699
def
693
ref
appTerm
700
def
betaConv
695
ref
574
ref
699
ref
appTerm
701
def
absTerm
702
def
696
ref
appTerm
703
def
betaConv
nil
681
remove
636
remove
nil
cons
cons
nil
cons
cons
nil
579
ref
695
ref
574
ref
690
ref
54
ref
615
remove
696
ref
appTerm
704
def
appTerm
54
ref
697
ref
53
ref
57
ref
appTerm
693
ref
appTerm
705
def
appTerm
706
def
appTerm
59
remove
698
ref
appTerm
707
def
appTerm
708
def
appTerm
709
def
absTerm
710
def
appTerm
711
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
588
ref
subst
695
remove
nil
84
ref
711
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
579
ref
710
remove
nil
cons
cons
nil
cons
nil
cons
cons
588
remove
subst
690
remove
nil
84
ref
709
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
704
remove
nil
cons
712
def
cons
713
def
50
ref
708
remove
nil
cons
714
def
cons
nil
cons
cons
nil
cons
cons
715
def
71
ref
subst
715
remove
139
ref
subst
nil
49
ref
706
ref
nil
cons
716
def
cons
50
ref
707
remove
nil
cons
717
def
cons
nil
cons
cons
nil
cons
cons
718
def
71
ref
subst
718
remove
139
ref
subst
nil
657
ref
50
ref
698
ref
nil
cons
719
def
cons
nil
cons
cons
nil
cons
cons
720
def
667
ref
subst
720
ref
71
ref
subst
720
remove
139
ref
subst
nil
49
ref
696
ref
nil
cons
721
def
cons
722
def
50
ref
693
ref
nil
cons
723
def
cons
nil
cons
724
def
cons
nil
cons
cons
725
def
71
ref
subst
725
ref
139
ref
subst
nil
713
ref
50
ref
56
ref
696
remove
appTerm
726
def
nil
cons
727
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
nil
49
ref
85
remove
cons
50
ref
721
ref
cons
nil
cons
cons
nil
cons
cons
728
def
630
ref
subst
eqMp
729
def
nil
49
ref
727
ref
cons
730
def
724
ref
cons
nil
cons
cons
731
def
120
ref
subst
proveHyp
nil
713
remove
50
ref
697
remove
55
ref
appTerm
732
def
nil
cons
733
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
728
ref
nil
618
remove
660
remove
cons
nil
cons
cons
734
def
71
ref
subst
734
remove
139
ref
subst
661
remove
eqMp
nil
628
remove
664
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
735
def
subst
eqMp
736
def
nil
49
ref
733
ref
cons
737
def
50
ref
54
ref
726
ref
appTerm
738
def
693
ref
appTerm
nil
cons
739
def
cons
nil
cons
cons
nil
cons
cons
740
def
120
ref
subst
proveHyp
740
ref
71
ref
subst
740
remove
139
ref
subst
731
ref
71
ref
subst
731
remove
139
ref
subst
nil
722
ref
662
remove
cons
nil
cons
cons
120
ref
subst
732
remove
assume
eqMp
741
def
728
remove
120
ref
subst
726
remove
assume
eqMp
742
def
741
remove
proveHyp
proveHyp
nil
722
remove
50
ref
705
remove
nil
cons
743
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
706
remove
assume
eqMp
744
def
nil
49
ref
743
remove
cons
745
def
50
ref
658
ref
693
ref
appTerm
746
def
nil
cons
747
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
623
ref
724
ref
cons
nil
cons
cons
748
def
630
remove
subst
eqMp
749
def
nil
49
ref
747
ref
cons
750
def
724
remove
cons
nil
cons
cons
751
def
120
ref
subst
proveHyp
744
remove
nil
745
remove
50
ref
54
ref
693
ref
appTerm
57
ref
appTerm
752
def
nil
cons
753
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
748
ref
735
remove
subst
eqMp
754
def
nil
49
ref
753
ref
cons
755
def
50
ref
54
ref
746
ref
appTerm
756
def
693
remove
appTerm
nil
cons
757
def
cons
nil
cons
cons
nil
cons
cons
758
def
120
ref
subst
proveHyp
758
ref
71
ref
subst
758
remove
139
ref
subst
751
ref
71
ref
subst
751
remove
139
ref
subst
119
remove
748
remove
120
ref
subst
746
remove
assume
eqMp
proveHyp
eqMp
nil
95
ref
747
remove
cons
759
def
97
ref
723
ref
cons
nil
cons
760
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
95
ref
753
remove
cons
761
def
97
ref
757
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
95
ref
727
remove
cons
762
def
760
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
95
ref
733
remove
cons
763
def
97
ref
739
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
721
ref
cons
760
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
663
ref
97
ref
719
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
49
ref
54
ref
58
ref
appTerm
764
def
698
ref
appTerm
nil
cons
cons
50
ref
54
ref
698
ref
appTerm
58
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
719
ref
cons
620
remove
cons
nil
cons
cons
765
def
71
ref
subst
765
remove
139
ref
subst
71
ref
139
ref
729
remove
nil
730
remove
624
ref
cons
nil
cons
cons
766
def
120
ref
subst
proveHyp
736
remove
nil
737
remove
50
ref
738
remove
57
ref
appTerm
nil
cons
767
def
cons
nil
cons
cons
nil
cons
cons
768
def
120
ref
subst
proveHyp
768
ref
71
ref
subst
768
remove
139
ref
subst
766
ref
71
ref
subst
766
remove
139
ref
subst
742
remove
749
remove
nil
750
remove
624
ref
cons
nil
cons
cons
769
def
120
ref
subst
proveHyp
754
remove
nil
755
remove
50
ref
756
remove
57
remove
appTerm
nil
cons
770
def
cons
nil
cons
cons
nil
cons
cons
771
def
120
ref
subst
proveHyp
771
ref
71
ref
subst
771
remove
139
ref
subst
769
ref
71
ref
subst
769
remove
139
ref
subst
725
remove
120
ref
subst
698
remove
assume
eqMp
nil
49
ref
723
ref
cons
624
remove
cons
nil
cons
cons
120
ref
subst
752
remove
assume
eqMp
proveHyp
eqMp
nil
759
remove
98
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
761
remove
97
ref
770
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
762
remove
98
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
763
remove
97
ref
767
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
112
remove
deductAntisym
eqMp
eqMp
nil
95
ref
719
remove
cons
629
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
716
remove
cons
97
ref
717
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
95
ref
712
remove
cons
97
ref
714
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
49
ref
574
ref
702
ref
appTerm
nil
cons
cons
50
ref
703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
702
remove
nil
cons
cons
631
ref
721
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
701
remove
nil
cons
cons
50
ref
700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
699
remove
nil
cons
cons
631
ref
723
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
649
remove
84
ref
53
ref
54
ref
86
ref
appTerm
772
def
76
ref
appTerm
appTerm
76
ref
appTerm
absTerm
773
def
86
ref
appTerm
774
def
betaConv
nil
574
ref
773
ref
appTerm
775
def
axiom
nil
49
ref
775
remove
nil
cons
cons
50
ref
774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
773
remove
nil
cons
cons
631
ref
86
ref
nil
cons
cons
nil
cons
776
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
trans
sym
89
ref
eqMp
777
def
subst
eqMp
eqMp
nil
49
ref
129
ref
531
ref
appTerm
nil
cons
cons
50
ref
532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
531
remove
nil
cons
cons
484
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
530
remove
nil
cons
cons
50
ref
529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
528
remove
nil
cons
cons
268
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
sym
778
def
subst
appThm
eqMp
527
remove
246
ref
247
ref
507
ref
372
ref
appTerm
appTerm
251
ref
appTerm
absTerm
779
def
251
ref
appTerm
780
def
betaConv
367
ref
206
ref
779
ref
appTerm
781
def
absTerm
782
def
371
ref
appTerm
783
def
betaConv
506
ref
507
remove
appTerm
784
def
betaConv
365
ref
15
ref
502
ref
22
ref
cons
opType
constTerm
785
def
refl
504
remove
535
ref
367
ref
536
ref
246
ref
505
remove
refl
367
ref
246
ref
251
ref
absTerm
786
def
absTerm
787
def
371
ref
appTerm
betaConv
539
remove
appThm
786
remove
251
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
2
ref
cons
nil
cons
"_1371"
248
remove
var
787
remove
nil
cons
cons
nil
cons
nil
cons
cons
633
remove
subst
eqMp
nil
49
ref
785
remove
506
ref
appTerm
nil
cons
cons
50
ref
784
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
503
remove
cons
nil
cons
"p"
502
remove
var
506
remove
nil
cons
cons
nil
cons
nil
cons
cons
777
ref
subst
eqMp
eqMp
nil
49
ref
129
ref
782
ref
appTerm
nil
cons
cons
50
ref
783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
782
remove
nil
cons
cons
484
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
781
remove
nil
cons
cons
50
ref
780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
779
remove
nil
cons
cons
268
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
sym
788
def
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
201
remove
cons
nil
cons
789
def
"P"
200
ref
var
486
ref
nil
cons
790
def
cons
"x"
198
remove
var
508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
602
ref
subst
proveHyp
nil
49
ref
365
ref
15
ref
200
ref
22
ref
cons
opType
constTerm
486
remove
appTerm
nil
cons
cons
50
ref
493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
"p"
200
remove
var
790
remove
cons
nil
cons
nil
cons
cons
789
remove
162
ref
cons
777
ref
subst
subst
eqMp
eqMp
nil
49
ref
129
ref
491
ref
appTerm
nil
cons
cons
50
ref
492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
491
remove
nil
cons
cons
598
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
490
remove
nil
cons
cons
50
ref
489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
488
remove
nil
cons
cons
266
ref
525
ref
cons
nil
cons
791
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
240
remove
315
ref
appTerm
792
def
refl
appThm
trans
trans
appThm
793
def
235
ref
refl
794
def
appThm
appThm
420
ref
refl
468
remove
223
ref
refl
795
def
appThm
appThm
appThm
appThm
sym
nil
49
ref
217
ref
792
ref
appTerm
796
def
465
ref
appTerm
797
def
nil
cons
798
def
cons
799
def
50
ref
53
ref
217
ref
212
ref
213
remove
47
ref
214
ref
41
ref
215
ref
224
remove
219
ref
227
ref
371
ref
appTerm
800
def
220
ref
appTerm
appTerm
801
def
232
ref
251
ref
appTerm
802
def
222
ref
appTerm
appTerm
803
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
804
def
792
ref
appTerm
appTerm
805
def
235
ref
appTerm
appTerm
420
ref
796
remove
223
ref
appTerm
appTerm
appTerm
nil
cons
806
def
cons
nil
cons
cons
nil
cons
cons
807
def
71
ref
subst
807
remove
139
ref
subst
53
ref
"_16746"
191
ref
var
808
def
53
ref
217
ref
804
ref
808
remove
varTerm
809
def
appTerm
appTerm
235
ref
appTerm
appTerm
420
ref
217
ref
809
remove
appTerm
223
ref
appTerm
appTerm
appTerm
absTerm
810
def
792
ref
appTerm
811
def
appTerm
refl
810
ref
465
ref
appTerm
betaConv
appThm
99
ref
811
remove
betaConv
appThm
53
ref
217
ref
804
ref
465
ref
appTerm
appTerm
812
def
235
remove
appTerm
appTerm
420
remove
217
ref
465
ref
appTerm
223
ref
appTerm
appTerm
appTerm
refl
appThm
trans
810
remove
refl
797
remove
assume
813
def
appThm
eqMp
sym
99
ref
271
ref
nil
215
ref
455
ref
nil
cons
814
def
cons
214
ref
440
ref
nil
cons
815
def
cons
nil
cons
cons
nil
cons
cons
816
def
215
ref
217
ref
212
remove
"_16758"
196
ref
var
817
def
47
ref
214
ref
41
ref
215
ref
217
ref
817
remove
varTerm
223
ref
appTerm
appTerm
803
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
818
def
appTerm
819
def
223
ref
appTerm
appTerm
803
ref
appTerm
absTerm
820
def
222
ref
appTerm
821
def
betaConv
214
ref
41
ref
820
ref
appTerm
822
def
absTerm
823
def
220
ref
appTerm
824
def
betaConv
818
ref
819
remove
appTerm
825
def
betaConv
818
ref
"_16756"
191
ref
var
826
def
219
ref
800
ref
199
ref
15
ref
15
ref
15
ref
191
ref
121
remove
cons
opType
827
def
22
ref
cons
opType
827
ref
nil
cons
cons
opType
constTerm
"fn"
827
remove
var
828
def
47
ref
424
ref
41
ref
426
ref
14
ref
15
ref
10
ref
45
ref
nil
cons
829
def
cons
opType
constTerm
830
def
828
remove
varTerm
429
ref
appTerm
appTerm
427
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
831
def
826
remove
varTerm
832
def
appTerm
appTerm
appTerm
802
ref
199
remove
15
ref
15
ref
15
ref
191
ref
151
remove
cons
opType
833
def
22
ref
cons
opType
833
ref
nil
cons
cons
opType
constTerm
"fn"
833
remove
var
834
def
47
ref
424
ref
41
ref
426
ref
280
ref
834
remove
varTerm
429
remove
appTerm
appTerm
428
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
835
def
832
remove
appTerm
appTerm
appTerm
absTerm
836
def
appTerm
betaConv
sym
nil
124
ref
214
ref
41
ref
215
ref
217
ref
836
ref
223
ref
appTerm
837
def
appTerm
803
remove
appTerm
838
def
absTerm
839
def
appTerm
840
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
840
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
839
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
838
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
837
remove
betaConv
217
ref
"_16753"
3
ref
var
841
def
801
remove
802
ref
841
ref
varTerm
appTerm
842
def
appTerm
absTerm
222
ref
appTerm
843
def
appTerm
refl
841
ref
219
ref
800
ref
831
remove
223
ref
appTerm
844
def
appTerm
appTerm
845
def
842
ref
appTerm
absTerm
846
def
835
remove
223
ref
appTerm
847
def
appTerm
betaConv
appThm
271
ref
843
remove
betaConv
appThm
845
remove
802
ref
847
remove
appTerm
appTerm
refl
appThm
trans
14
ref
15
ref
218
ref
15
ref
218
remove
22
ref
cons
opType
nil
cons
cons
opType
constTerm
848
def
"_16752"
10
ref
var
849
def
841
remove
219
ref
800
ref
849
remove
varTerm
appTerm
appTerm
842
remove
appTerm
absTerm
absTerm
850
def
220
ref
appTerm
851
def
appTerm
refl
850
ref
844
remove
appTerm
betaConv
appThm
848
remove
refl
851
remove
betaConv
appThm
846
remove
refl
appThm
trans
850
remove
refl
nil
426
ref
222
ref
nil
cons
852
def
cons
424
ref
220
ref
nil
cons
853
def
cons
nil
cons
cons
nil
cons
cons
854
def
432
ref
778
remove
subst
subst
appThm
eqMp
854
remove
432
ref
788
remove
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
197
remove
cons
nil
cons
855
def
"P"
208
ref
var
818
ref
nil
cons
856
def
cons
"x"
196
remove
var
836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
602
ref
subst
proveHyp
nil
49
ref
365
ref
15
ref
208
ref
22
ref
cons
opType
constTerm
818
remove
appTerm
nil
cons
cons
50
ref
825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
"p"
208
remove
var
856
remove
cons
nil
cons
nil
cons
cons
855
remove
162
ref
cons
777
remove
subst
subst
eqMp
eqMp
nil
49
ref
47
ref
823
ref
appTerm
nil
cons
cons
50
ref
824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
823
remove
nil
cons
cons
125
ref
853
ref
cons
nil
cons
857
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
822
remove
nil
cons
cons
50
ref
821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
820
remove
nil
cons
cons
154
ref
852
ref
cons
nil
cons
858
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
appThm
859
def
794
remove
appThm
nil
"b'"
3
ref
var
860
def
234
ref
nil
cons
861
def
cons
"a'"
10
ref
var
862
def
229
ref
nil
cons
863
def
cons
426
ref
802
remove
455
ref
appTerm
864
def
nil
cons
cons
424
ref
800
remove
440
ref
appTerm
865
def
nil
cons
cons
nil
cons
cons
866
def
cons
cons
nil
cons
cons
432
remove
"b'"
1
ref
var
867
def
53
ref
419
remove
34
ref
"a'"
8
ref
var
868
def
varTerm
869
def
appTerm
867
ref
varTerm
870
def
appTerm
appTerm
appTerm
60
ref
301
ref
371
ref
appTerm
871
def
869
ref
appTerm
appTerm
247
ref
251
ref
appTerm
872
def
870
ref
appTerm
appTerm
appTerm
absTerm
873
def
870
ref
appTerm
874
def
betaConv
868
ref
206
ref
873
ref
appTerm
875
def
absTerm
876
def
869
ref
appTerm
877
def
betaConv
246
ref
129
ref
876
ref
appTerm
878
def
absTerm
879
def
251
remove
appTerm
880
def
betaConv
367
ref
206
ref
879
ref
appTerm
881
def
absTerm
882
def
371
remove
appTerm
883
def
betaConv
nil
129
ref
882
ref
appTerm
884
def
axiom
nil
49
ref
884
remove
nil
cons
cons
50
ref
883
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
882
remove
nil
cons
cons
484
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
881
remove
nil
cons
cons
50
ref
880
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
879
remove
nil
cons
cons
268
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
878
remove
nil
cons
cons
50
ref
877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
876
remove
nil
cons
cons
134
ref
869
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
875
remove
nil
cons
cons
50
ref
874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
873
remove
nil
cons
cons
266
ref
870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
885
def
subst
886
def
subst
60
ref
refl
887
def
nil
"t2"
10
ref
var
888
def
853
ref
cons
"h2"
8
ref
var
889
def
526
ref
cons
"t1"
10
ref
var
890
def
815
ref
cons
"h1"
8
ref
var
891
def
483
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
888
ref
53
ref
830
ref
227
ref
891
ref
varTerm
892
def
appTerm
893
def
890
ref
varTerm
894
def
appTerm
895
def
appTerm
227
remove
889
ref
varTerm
896
def
appTerm
888
remove
varTerm
897
def
appTerm
appTerm
appTerm
60
ref
301
ref
892
ref
appTerm
896
ref
appTerm
appTerm
830
ref
894
ref
appTerm
897
ref
appTerm
appTerm
appTerm
absTerm
898
def
897
ref
appTerm
899
def
betaConv
890
ref
47
ref
898
ref
appTerm
900
def
absTerm
901
def
894
ref
appTerm
902
def
betaConv
889
remove
47
ref
901
ref
appTerm
903
def
absTerm
904
def
896
ref
appTerm
905
def
betaConv
891
ref
129
ref
904
ref
appTerm
906
def
absTerm
907
def
892
ref
appTerm
908
def
betaConv
nil
129
ref
907
ref
appTerm
909
def
axiom
nil
49
ref
909
remove
nil
cons
cons
50
ref
908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
907
remove
nil
cons
cons
134
ref
892
ref
nil
cons
910
def
cons
nil
cons
911
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
906
remove
nil
cons
cons
50
ref
905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
904
remove
nil
cons
cons
134
ref
896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
903
remove
nil
cons
cons
50
ref
902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
901
remove
nil
cons
cons
125
ref
894
ref
nil
cons
912
def
cons
nil
cons
913
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
900
remove
nil
cons
cons
50
ref
899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
898
remove
nil
cons
cons
125
ref
897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
914
def
subst
appThm
nil
"t2"
3
ref
var
915
def
852
ref
cons
916
def
"h2"
1
ref
var
917
def
525
ref
cons
918
def
"t1"
3
ref
var
814
ref
cons
"h1"
1
ref
var
267
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
404
ref
914
ref
subst
subst
appThm
trans
trans
appThm
887
ref
nil
867
remove
525
ref
cons
868
remove
526
ref
cons
nil
cons
cons
nil
cons
cons
885
remove
subst
appThm
nil
860
ref
852
ref
cons
919
def
862
ref
853
ref
cons
920
def
426
ref
814
ref
cons
424
ref
815
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
886
ref
subst
appThm
appThm
sym
nil
49
ref
53
ref
872
remove
210
ref
appTerm
921
def
appTerm
922
def
"Data.Bool.F"
const
21
ref
constTerm
923
def
appTerm
924
def
nil
cons
925
def
cons
50
ref
53
ref
60
ref
60
ref
871
remove
135
ref
appTerm
926
def
appTerm
927
def
830
ref
440
ref
appTerm
220
ref
appTerm
928
def
appTerm
929
def
appTerm
930
def
60
ref
921
ref
appTerm
280
ref
455
ref
appTerm
222
ref
appTerm
931
def
appTerm
appTerm
appTerm
60
ref
927
ref
921
ref
appTerm
appTerm
60
ref
928
ref
appTerm
931
ref
appTerm
932
def
appTerm
appTerm
nil
cons
933
def
cons
nil
cons
934
def
cons
nil
cons
cons
935
def
71
ref
subst
935
remove
139
ref
subst
53
ref
"_16762"
21
ref
var
936
def
53
ref
930
ref
60
ref
936
remove
varTerm
937
def
appTerm
931
ref
appTerm
appTerm
appTerm
60
ref
927
ref
937
remove
appTerm
appTerm
932
ref
appTerm
appTerm
absTerm
938
def
921
ref
appTerm
939
def
appTerm
refl
940
def
938
ref
923
ref
appTerm
betaConv
appThm
99
ref
939
remove
betaConv
appThm
941
def
53
ref
930
ref
60
ref
923
ref
appTerm
942
def
931
ref
appTerm
appTerm
appTerm
60
ref
927
ref
923
ref
appTerm
943
def
appTerm
932
ref
appTerm
appTerm
refl
appThm
trans
938
remove
refl
944
def
924
remove
assume
appThm
eqMp
sym
99
ref
nil
"t3"
21
ref
var
945
def
931
ref
nil
cons
946
def
cons
947
def
"t2"
21
ref
var
948
def
923
ref
nil
cons
949
def
cons
"t1"
21
ref
var
950
def
929
remove
nil
cons
951
def
cons
nil
cons
952
def
cons
cons
nil
cons
cons
945
ref
53
ref
60
ref
950
ref
varTerm
953
def
appTerm
954
def
60
ref
948
ref
varTerm
955
def
appTerm
945
ref
varTerm
956
def
appTerm
appTerm
957
def
appTerm
60
ref
954
remove
955
ref
appTerm
appTerm
956
ref
appTerm
958
def
appTerm
959
def
absTerm
960
def
956
ref
appTerm
961
def
betaConv
948
ref
574
ref
960
ref
appTerm
962
def
absTerm
963
def
955
ref
appTerm
964
def
betaConv
950
ref
574
ref
963
ref
appTerm
965
def
absTerm
966
def
953
ref
appTerm
967
def
betaConv
574
ref
refl
968
def
950
ref
968
ref
948
ref
968
remove
945
ref
959
remove
assume
sym
53
ref
958
remove
appTerm
957
remove
appTerm
969
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
574
ref
950
ref
574
ref
948
ref
574
ref
945
remove
969
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
49
ref
574
ref
966
ref
appTerm
nil
cons
cons
50
ref
967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
966
remove
nil
cons
cons
631
ref
953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
965
remove
nil
cons
cons
50
ref
964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
963
remove
nil
cons
cons
631
ref
955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
962
remove
nil
cons
cons
50
ref
961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
960
remove
nil
cons
cons
631
ref
956
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
970
def
subst
887
ref
nil
84
ref
951
remove
cons
nil
cons
nil
cons
cons
971
def
84
ref
53
ref
60
ref
86
ref
appTerm
972
def
923
ref
appTerm
appTerm
923
ref
appTerm
absTerm
973
def
86
ref
appTerm
974
def
betaConv
nil
574
ref
973
ref
appTerm
975
def
axiom
nil
49
ref
975
remove
nil
cons
cons
50
ref
974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
973
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
976
def
subst
appThm
931
ref
refl
977
def
appThm
nil
84
ref
946
remove
cons
nil
cons
nil
cons
cons
84
ref
53
ref
942
remove
86
ref
appTerm
appTerm
923
ref
appTerm
absTerm
978
def
86
ref
appTerm
979
def
betaConv
nil
574
ref
978
ref
appTerm
980
def
axiom
nil
49
ref
980
remove
nil
cons
cons
50
ref
979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
978
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
981
def
subst
982
def
trans
trans
appThm
nil
947
ref
948
ref
928
ref
nil
cons
983
def
cons
984
def
950
ref
943
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
970
ref
subst
887
ref
887
ref
nil
84
ref
926
remove
nil
cons
cons
nil
cons
nil
cons
cons
985
def
976
ref
subst
appThm
928
remove
refl
986
def
appThm
nil
84
ref
983
remove
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
977
ref
appThm
982
remove
trans
trans
appThm
nil
84
ref
949
ref
cons
nil
cons
nil
cons
cons
987
def
84
ref
53
ref
53
ref
923
ref
appTerm
988
def
86
ref
appTerm
appTerm
"Data.Bool.~"
const
51
remove
constTerm
989
def
86
ref
appTerm
990
def
appTerm
absTerm
991
def
86
ref
appTerm
992
def
betaConv
nil
574
ref
991
ref
appTerm
993
def
axiom
nil
49
ref
993
remove
nil
cons
cons
50
ref
992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
991
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
994
def
subst
nil
53
ref
989
ref
923
ref
appTerm
appTerm
76
ref
appTerm
axiom
995
def
trans
996
def
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
95
ref
925
ref
cons
97
ref
933
ref
cons
nil
cons
997
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
49
ref
922
remove
76
ref
appTerm
998
def
nil
cons
999
def
cons
934
remove
cons
nil
cons
cons
1000
def
71
ref
subst
1000
remove
139
ref
subst
940
remove
"_16760"
21
ref
var
1001
def
53
ref
930
ref
60
ref
1001
remove
varTerm
1002
def
appTerm
931
ref
appTerm
appTerm
appTerm
60
ref
927
ref
1002
remove
appTerm
appTerm
932
ref
appTerm
appTerm
absTerm
76
ref
appTerm
betaConv
appThm
941
remove
53
ref
930
ref
60
ref
76
ref
appTerm
1003
def
931
ref
appTerm
appTerm
appTerm
60
ref
927
remove
76
ref
appTerm
1004
def
appTerm
932
remove
appTerm
appTerm
refl
appThm
trans
944
remove
998
remove
assume
appThm
eqMp
sym
99
ref
nil
947
ref
948
remove
691
ref
cons
952
remove
cons
cons
nil
cons
cons
970
ref
subst
887
ref
971
remove
84
ref
53
ref
972
remove
76
ref
appTerm
appTerm
86
ref
appTerm
absTerm
1005
def
86
ref
appTerm
1006
def
betaConv
nil
574
ref
1005
ref
appTerm
1007
def
axiom
nil
49
ref
1007
remove
nil
cons
cons
50
ref
1006
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1005
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1008
def
subst
appThm
977
ref
appThm
trans
appThm
nil
947
remove
984
remove
950
remove
1004
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
970
remove
subst
887
ref
887
ref
985
remove
1008
ref
subst
appThm
986
remove
appThm
appThm
977
remove
appThm
trans
appThm
nil
631
ref
930
remove
931
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
587
remove
303
ref
subst
1009
def
subst
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
95
ref
999
remove
cons
1010
def
997
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
84
ref
"Data.Bool.\\/"
const
52
remove
constTerm
1011
def
88
ref
appTerm
87
remove
923
ref
appTerm
appTerm
absTerm
1012
def
921
ref
appTerm
1013
def
betaConv
nil
574
ref
1012
ref
appTerm
1014
def
axiom
nil
49
ref
1014
remove
nil
cons
cons
50
ref
1013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1012
remove
nil
cons
cons
631
ref
921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
1010
remove
97
ref
925
remove
cons
"R"
21
ref
var
1015
def
933
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
49
ref
54
ref
102
ref
appTerm
1016
def
1015
ref
varTerm
1017
def
appTerm
1018
def
nil
cons
cons
50
ref
1017
ref
nil
cons
1019
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
nil
49
ref
54
ref
100
ref
appTerm
1020
def
1017
ref
appTerm
nil
cons
cons
50
ref
54
ref
1018
remove
appTerm
1017
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
"r"
21
remove
var
1021
def
54
ref
1020
ref
1021
ref
varTerm
1022
def
appTerm
appTerm
1023
def
54
ref
1016
remove
1022
ref
appTerm
appTerm
1022
ref
appTerm
appTerm
absTerm
1024
def
1017
remove
appTerm
1025
def
betaConv
53
ref
1011
ref
100
ref
appTerm
1026
def
102
ref
appTerm
1027
def
appTerm
refl
50
ref
574
ref
1021
ref
1023
remove
54
ref
658
remove
1022
ref
appTerm
1028
def
appTerm
1022
ref
appTerm
1029
def
appTerm
absTerm
appTerm
absTerm
102
remove
appTerm
betaConv
appThm
80
ref
1026
remove
appTerm
refl
49
ref
50
ref
574
ref
1021
ref
54
ref
56
ref
1022
ref
appTerm
appTerm
1029
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1030
def
100
ref
appTerm
betaConv
appThm
nil
68
remove
1011
ref
appTerm
1030
remove
appTerm
axiom
109
ref
appThm
eqMp
105
remove
appThm
eqMp
1027
remove
assume
eqMp
nil
49
ref
574
ref
1024
ref
appTerm
nil
cons
cons
50
ref
1025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1024
remove
nil
cons
cons
631
ref
1019
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
eqMp
1031
def
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
95
ref
798
remove
cons
1032
def
97
ref
806
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
461
remove
cons
1033
def
97
ref
437
remove
cons
nil
cons
1034
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
54
ref
451
ref
154
ref
varTerm
1035
def
appTerm
appTerm
1036
def
421
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
452
remove
appTerm
1037
def
421
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
451
remove
nil
cons
cons
1038
def
1034
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
446
remove
cons
1039
def
1034
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
ref
54
ref
434
ref
125
ref
varTerm
1040
def
appTerm
appTerm
1041
def
421
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
435
remove
appTerm
1042
def
421
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
434
remove
nil
cons
cons
1043
def
1034
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
410
remove
cons
1044
def
97
ref
391
ref
cons
nil
cons
1045
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
406
remove
cons
1046
def
1045
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
54
ref
382
ref
266
ref
varTerm
1047
def
appTerm
appTerm
1048
def
390
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
383
remove
appTerm
1049
def
390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
382
remove
nil
cons
cons
1050
def
1045
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
396
remove
cons
1051
def
1045
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
"x'"
8
ref
var
1052
def
54
ref
384
ref
1052
remove
varTerm
appTerm
appTerm
390
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
385
remove
appTerm
1053
def
390
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
384
ref
nil
cons
cons
1054
def
1045
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
1055
def
subst
887
ref
380
remove
refl
nil
378
remove
nil
cons
cons
1056
def
364
ref
369
ref
34
ref
275
remove
370
ref
appTerm
appTerm
295
remove
370
ref
appTerm
appTerm
appTerm
370
ref
appTerm
absTerm
1057
def
370
ref
appTerm
1058
def
betaConv
nil
310
ref
1057
ref
appTerm
1059
def
axiom
nil
49
ref
1059
remove
nil
cons
cons
50
ref
1058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
334
ref
333
ref
1057
remove
nil
cons
cons
364
ref
370
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
appThm
1056
remove
335
ref
303
ref
subst
subst
trans
appThm
271
ref
321
remove
assume
appThm
320
ref
refl
appThm
nil
298
remove
320
remove
nil
cons
cons
nil
cons
nil
cons
cons
304
remove
subst
trans
appThm
nil
84
ref
691
remove
cons
nil
cons
nil
cons
cons
1060
def
84
ref
53
ref
1003
remove
86
ref
appTerm
appTerm
86
ref
appTerm
absTerm
1061
def
86
ref
appTerm
1062
def
betaConv
nil
574
ref
1061
ref
appTerm
1063
def
axiom
nil
49
ref
1063
remove
nil
cons
cons
50
ref
1062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1061
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1064
def
subst
1065
def
trans
trans
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
342
remove
cons
97
ref
343
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
307
remove
appTerm
332
remove
appTerm
nil
cons
cons
50
ref
313
ref
"l"
20
ref
var
1066
def
217
ref
194
ref
1066
ref
varTerm
1067
def
appTerm
appTerm
1068
def
219
ref
305
ref
1067
ref
appTerm
appTerm
306
ref
1067
ref
appTerm
appTerm
appTerm
absTerm
1069
def
appTerm
1070
def
nil
cons
1071
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1069
ref
189
ref
appTerm
betaConv
appThm
310
ref
refl
1072
def
311
ref
313
ref
refl
1073
def
314
ref
467
ref
1069
ref
315
ref
appTerm
betaConv
appThm
1069
ref
325
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1073
ref
1066
ref
1069
ref
1067
ref
appTerm
1074
def
betaConv
1075
def
absThm
appThm
appThm
nil
"p"
23
remove
var
1076
def
1069
remove
nil
cons
1077
def
cons
nil
cons
nil
cons
cons
335
ref
"p"
45
ref
var
1078
def
54
ref
60
ref
1078
ref
varTerm
1079
def
12
ref
appTerm
appTerm
129
ref
346
ref
47
ref
345
ref
54
ref
1079
ref
349
ref
appTerm
appTerm
1079
ref
350
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
47
ref
"l"
10
ref
var
1080
def
1079
ref
1080
ref
varTerm
1081
def
appTerm
absTerm
appTerm
appTerm
absTerm
1082
def
1079
ref
appTerm
1083
def
betaConv
nil
38
ref
15
ref
46
ref
22
ref
cons
opType
constTerm
1082
ref
appTerm
1084
def
axiom
nil
49
ref
1084
remove
nil
cons
cons
50
ref
1083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
829
remove
cons
nil
cons
"P"
46
remove
var
1082
remove
nil
cons
cons
"x"
45
remove
var
1079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1085
def
subst
1086
def
subst
eqMp
eqMp
1087
def
nil
1070
remove
thm
nil
130
ref
134
ref
206
ref
207
ref
24
ref
27
ref
228
ref
12
ref
appTerm
1088
def
appTerm
233
ref
6
ref
appTerm
1089
def
appTerm
appTerm
323
ref
211
ref
appTerm
1090
def
189
ref
appTerm
1091
def
appTerm
1092
def
absTerm
1093
def
appTerm
1094
def
absTerm
1095
def
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
1094
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
265
ref
1093
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1092
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
24
ref
refl
1096
def
nil
4
ref
1089
ref
nil
cons
cons
11
ref
1088
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
1091
remove
refl
appThm
sym
158
ref
163
remove
915
ref
54
ref
14
remove
15
ref
"Number.Natural.natural"
typeOp
nil
opType
1097
def
15
ref
1097
ref
22
ref
cons
opType
1098
def
nil
cons
1099
def
cons
opType
1100
def
constTerm
1101
def
"Data.List.length"
const
1102
def
15
ref
10
ref
1097
ref
nil
cons
1103
def
cons
opType
constTerm
1104
def
12
ref
appTerm
appTerm
1105
def
1102
ref
15
ref
3
ref
1103
ref
cons
opType
constTerm
1106
def
915
ref
varTerm
1107
def
appTerm
1108
def
appTerm
appTerm
170
ref
173
ref
1088
remove
appTerm
1109
def
233
ref
1107
ref
appTerm
1110
def
appTerm
appTerm
225
remove
15
ref
164
ref
15
ref
168
ref
171
ref
cons
opType
nil
cons
1111
def
cons
opType
constTerm
1112
def
172
ref
135
ref
appTerm
1113
def
210
ref
appTerm
appTerm
1114
def
174
ref
1107
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1115
def
6
ref
appTerm
1116
def
betaConv
890
ref
41
ref
915
ref
54
ref
1101
ref
1104
ref
894
ref
appTerm
appTerm
1108
ref
appTerm
1117
def
appTerm
1118
def
170
ref
173
ref
228
ref
894
ref
appTerm
appTerm
1119
def
1110
remove
appTerm
appTerm
1114
ref
173
ref
894
ref
appTerm
1107
ref
appTerm
1120
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1121
def
12
ref
appTerm
1122
def
betaConv
917
ref
47
ref
890
ref
41
ref
915
ref
1118
ref
170
ref
1119
remove
232
ref
917
ref
varTerm
1123
def
appTerm
1124
def
1107
ref
appTerm
1125
def
appTerm
appTerm
1112
ref
1113
remove
1123
ref
appTerm
appTerm
1120
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1126
def
210
ref
appTerm
1127
def
betaConv
891
ref
206
ref
917
ref
47
ref
890
ref
41
ref
915
ref
1118
ref
170
ref
173
ref
895
ref
appTerm
1125
ref
appTerm
1128
def
appTerm
1112
ref
172
ref
892
ref
appTerm
1123
ref
appTerm
1129
def
appTerm
1130
def
1120
ref
appTerm
1131
def
appTerm
1132
def
appTerm
1133
def
absTerm
1134
def
appTerm
1135
def
absTerm
1136
def
appTerm
1137
def
absTerm
1138
def
appTerm
1139
def
absTerm
1140
def
135
ref
appTerm
1141
def
betaConv
167
ref
129
ref
1140
ref
appTerm
1142
def
absTerm
1143
def
172
ref
appTerm
1144
def
betaConv
nil
180
ref
1143
ref
appTerm
1145
def
axiom
nil
49
ref
1145
remove
nil
cons
cons
50
ref
1144
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
182
ref
183
ref
1143
remove
nil
cons
cons
184
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1146
def
nil
49
ref
1142
remove
nil
cons
cons
1147
def
50
ref
1141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1140
ref
nil
cons
cons
1148
def
598
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
206
ref
1126
ref
appTerm
nil
cons
cons
50
ref
1127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
1126
remove
nil
cons
cons
791
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
47
ref
1121
ref
appTerm
nil
cons
cons
50
ref
1122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1121
remove
nil
cons
cons
125
ref
13
ref
cons
nil
cons
1149
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
1115
ref
appTerm
nil
cons
cons
50
ref
1116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1115
remove
nil
cons
cons
154
ref
7
ref
cons
nil
cons
1150
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
54
ref
1105
ref
1106
ref
6
ref
appTerm
1151
def
appTerm
1152
def
appTerm
170
ref
1109
remove
1089
remove
appTerm
1153
def
appTerm
1154
def
1114
ref
175
ref
appTerm
1155
def
appTerm
1156
def
appTerm
nil
cons
cons
50
ref
1154
remove
1114
ref
176
remove
appTerm
1157
def
appTerm
1158
def
nil
cons
1159
def
cons
nil
cons
1160
def
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
467
ref
1101
ref
refl
1161
def
nil
1105
ref
"Number.Natural.zero"
const
1097
ref
constTerm
1162
def
appTerm
1163
def
axiom
1164
def
appThm
1165
def
404
ref
1164
ref
subst
1166
def
appThm
nil
"x"
1097
ref
var
1167
def
1162
ref
nil
cons
1168
def
cons
nil
cons
nil
cons
cons
"A"
1103
ref
cons
nil
cons
1169
def
162
ref
cons
1170
def
303
ref
subst
1171
def
subst
1172
def
trans
1173
def
appThm
1156
ref
refl
appThm
nil
84
ref
1156
ref
nil
cons
1174
def
cons
nil
cons
nil
cons
cons
84
ref
53
ref
54
ref
76
ref
appTerm
86
ref
appTerm
appTerm
86
ref
appTerm
absTerm
1175
def
86
ref
appTerm
1176
def
betaConv
nil
574
ref
1175
ref
appTerm
1177
def
axiom
nil
49
ref
1177
remove
nil
cons
cons
50
ref
1176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1175
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1178
def
subst
trans
appThm
1158
ref
refl
appThm
sym
nil
49
ref
1174
ref
cons
1160
remove
cons
nil
cons
cons
1179
def
71
ref
subst
1179
remove
139
ref
subst
53
ref
"_16718"
168
ref
var
1180
def
170
ref
1180
remove
varTerm
appTerm
1157
ref
appTerm
absTerm
1181
def
1153
remove
appTerm
1182
def
appTerm
refl
1181
ref
1155
ref
appTerm
betaConv
appThm
99
ref
1182
remove
betaConv
appThm
170
ref
1155
remove
appTerm
1157
remove
appTerm
refl
appThm
trans
1181
remove
refl
1156
remove
assume
appThm
eqMp
sym
1114
remove
refl
185
ref
appThm
eqMp
eqMp
nil
95
ref
1174
remove
cons
97
ref
1159
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1183
def
subst
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
129
ref
1095
remove
appTerm
thm
nil
124
ref
214
ref
41
ref
215
ref
54
ref
1101
ref
1104
ref
220
ref
appTerm
appTerm
1184
def
1106
ref
222
ref
appTerm
1185
def
appTerm
1186
def
appTerm
1187
def
830
ref
305
remove
27
ref
220
ref
appTerm
1188
def
222
ref
appTerm
1189
def
appTerm
1190
def
appTerm
220
ref
appTerm
1191
def
appTerm
1192
def
absTerm
1193
def
appTerm
1194
def
absTerm
1195
def
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1194
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1193
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1192
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1186
ref
nil
cons
1196
def
cons
1197
def
50
ref
1191
ref
nil
cons
1198
def
cons
nil
cons
1199
def
cons
nil
cons
cons
1200
def
71
ref
subst
1200
remove
139
ref
subst
"ys'"
3
ref
var
1201
def
53
ref
217
ref
194
ref
1189
ref
appTerm
appTerm
1202
def
221
ref
1201
ref
varTerm
1203
def
appTerm
appTerm
appTerm
60
ref
1184
remove
1106
ref
1203
ref
appTerm
1204
def
appTerm
appTerm
24
ref
1189
ref
appTerm
1205
def
1188
remove
1203
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1206
def
222
ref
appTerm
1207
def
betaConv
"xs'"
10
ref
var
1208
def
41
ref
1201
remove
53
ref
1202
ref
219
ref
1208
remove
varTerm
1209
def
appTerm
1203
ref
appTerm
appTerm
appTerm
60
ref
1101
ref
1104
ref
1209
ref
appTerm
appTerm
1204
remove
appTerm
appTerm
1205
ref
27
ref
1209
remove
appTerm
1203
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1210
def
220
ref
appTerm
1211
def
betaConv
1066
ref
47
ref
214
ref
41
ref
215
ref
53
ref
1068
ref
223
ref
appTerm
appTerm
60
ref
1186
ref
appTerm
1212
def
24
ref
1067
ref
appTerm
1213
def
1189
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1214
def
1189
ref
appTerm
1215
def
betaConv
47
ref
refl
1216
def
214
ref
41
ref
refl
1217
def
215
ref
99
ref
272
ref
795
ref
appThm
nil
919
ref
920
ref
426
ref
7
ref
cons
424
ref
13
ref
cons
nil
cons
cons
1218
def
cons
1219
def
cons
nil
cons
cons
886
ref
subst
trans
appThm
1212
ref
24
ref
189
ref
appTerm
1220
def
1189
ref
appTerm
appTerm
1221
def
refl
appThm
absThm
appThm
absThm
appThm
sym
nil
124
ref
214
ref
41
ref
215
ref
53
ref
60
ref
830
ref
12
ref
appTerm
1222
def
220
ref
appTerm
1223
def
appTerm
1224
def
280
ref
6
ref
appTerm
1225
def
222
ref
appTerm
1226
def
appTerm
appTerm
1221
ref
appTerm
1227
def
absTerm
1228
def
appTerm
1229
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1229
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1228
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1227
ref
nil
cons
1230
def
cons
nil
cons
nil
cons
cons
90
ref
subst
1080
ref
1011
ref
830
ref
1081
ref
appTerm
1231
def
12
ref
appTerm
1232
def
appTerm
366
ref
346
ref
423
ref
345
ref
1231
remove
350
ref
appTerm
1233
def
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1234
def
220
ref
appTerm
1235
def
betaConv
nil
47
ref
1234
ref
appTerm
1236
def
axiom
1237
def
nil
49
ref
1236
remove
nil
cons
cons
50
ref
1235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1234
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1238
def
nil
49
ref
1011
ref
830
ref
220
ref
appTerm
1239
def
12
ref
appTerm
1240
def
appTerm
366
ref
346
ref
423
ref
345
ref
1239
ref
350
ref
appTerm
absTerm
appTerm
absTerm
1241
def
appTerm
1242
def
appTerm
nil
cons
1243
def
cons
1244
def
50
ref
1230
ref
cons
nil
cons
1245
def
cons
nil
cons
cons
1246
def
120
ref
subst
proveHyp
1246
ref
71
ref
subst
1246
remove
139
ref
subst
nil
130
ref
134
ref
54
ref
1241
ref
135
ref
appTerm
1247
def
appTerm
1248
def
1227
ref
appTerm
1249
def
absTerm
1250
def
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
1249
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1247
ref
nil
cons
1251
def
cons
1252
def
1245
ref
cons
nil
cons
cons
1253
def
71
ref
subst
1253
remove
139
ref
subst
1247
ref
betaConv
1247
remove
assume
eqMp
1254
def
nil
49
ref
423
ref
345
ref
1239
ref
228
ref
349
ref
appTerm
appTerm
absTerm
1255
def
appTerm
1256
def
nil
cons
cons
1257
def
1245
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
439
ref
54
ref
1255
ref
440
ref
appTerm
1258
def
appTerm
1259
def
1227
ref
appTerm
1260
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
439
ref
nil
84
ref
1260
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1258
ref
nil
cons
1261
def
cons
1262
def
1245
ref
cons
nil
cons
cons
1263
def
71
ref
subst
1263
remove
139
ref
subst
1258
ref
betaConv
1258
remove
assume
eqMp
1264
def
nil
49
ref
1239
remove
228
remove
440
ref
appTerm
1265
def
appTerm
1266
def
nil
cons
1267
def
cons
1268
def
1245
ref
cons
nil
cons
cons
1269
def
120
ref
subst
proveHyp
1269
ref
71
ref
subst
1269
remove
139
ref
subst
53
ref
"_16830"
10
ref
var
1270
def
53
ref
60
ref
1222
ref
1270
remove
varTerm
1271
def
appTerm
appTerm
1226
ref
appTerm
appTerm
60
ref
1101
ref
1104
ref
1271
ref
appTerm
appTerm
1185
ref
appTerm
appTerm
1220
ref
27
ref
1271
remove
appTerm
222
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1272
def
220
ref
appTerm
1273
def
appTerm
refl
1274
def
1272
ref
1265
ref
appTerm
betaConv
appThm
99
ref
1273
remove
betaConv
appThm
1275
def
53
ref
60
ref
1222
ref
1265
ref
appTerm
appTerm
1226
ref
appTerm
appTerm
60
ref
1101
ref
1104
ref
1265
ref
appTerm
appTerm
1276
def
1185
ref
appTerm
appTerm
1277
def
1220
ref
27
ref
1265
ref
appTerm
1278
def
222
ref
appTerm
1279
def
appTerm
appTerm
1280
def
appTerm
refl
appThm
trans
1272
remove
refl
1281
def
1266
remove
assume
1282
def
appThm
eqMp
sym
99
ref
887
ref
nil
345
ref
815
ref
cons
1283
def
346
ref
526
ref
cons
nil
cons
cons
nil
cons
cons
1284
def
989
ref
refl
1285
def
1222
ref
350
ref
appTerm
1286
def
assume
sym
830
ref
350
ref
appTerm
12
ref
appTerm
1287
def
assume
sym
deductAntisym
appThm
345
ref
989
ref
1287
ref
appTerm
1288
def
absTerm
1289
def
349
ref
appTerm
1290
def
betaConv
346
ref
47
ref
1289
ref
appTerm
1291
def
absTerm
1292
def
347
ref
appTerm
1293
def
betaConv
nil
129
ref
1292
ref
appTerm
1294
def
axiom
nil
49
ref
1294
remove
nil
cons
cons
50
ref
1293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1292
remove
nil
cons
cons
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1291
remove
nil
cons
cons
50
ref
1290
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1289
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1295
def
eqMp
nil
49
ref
989
ref
1286
ref
appTerm
nil
cons
cons
50
ref
53
ref
1286
ref
appTerm
923
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
95
ref
1286
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
49
ref
989
ref
100
ref
appTerm
1296
def
nil
cons
1297
def
cons
50
ref
53
ref
100
ref
appTerm
923
ref
appTerm
nil
cons
1298
def
cons
nil
cons
cons
nil
cons
cons
1299
def
71
ref
subst
1299
remove
139
ref
subst
nil
49
ref
100
ref
nil
cons
1300
def
cons
50
ref
949
ref
cons
nil
cons
1301
def
cons
nil
cons
cons
667
remove
subst
53
ref
1296
ref
appTerm
refl
49
ref
56
remove
923
ref
appTerm
absTerm
1302
def
100
ref
appTerm
betaConv
appThm
nil
80
remove
989
ref
appTerm
1302
remove
appTerm
axiom
109
remove
appThm
eqMp
1303
def
1296
remove
assume
eqMp
nil
49
ref
1020
remove
923
ref
appTerm
nil
cons
cons
50
ref
54
ref
923
ref
appTerm
1304
def
100
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
949
ref
cons
50
ref
1300
ref
cons
nil
cons
cons
nil
cons
cons
1305
def
71
ref
subst
1305
remove
139
ref
subst
49
ref
55
remove
absTerm
1306
def
100
remove
appTerm
1307
def
betaConv
nil
988
remove
574
ref
1306
ref
appTerm
1308
def
appTerm
axiom
923
ref
assume
eqMp
nil
49
ref
1308
remove
nil
cons
cons
50
ref
1307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1306
remove
nil
cons
cons
631
ref
1300
ref
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
949
ref
cons
97
ref
1300
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1297
remove
cons
97
ref
1298
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
1309
def
subst
eqMp
1310
def
subst
appThm
1226
ref
refl
1311
def
appThm
nil
84
ref
1226
ref
nil
cons
cons
nil
cons
nil
cons
cons
1312
def
981
ref
subst
trans
appThm
1280
ref
refl
appThm
nil
84
ref
1280
ref
nil
cons
cons
nil
cons
nil
cons
cons
994
ref
subst
trans
sym
"l"
3
ref
var
1313
def
1011
ref
280
ref
1313
ref
varTerm
appTerm
1314
def
6
ref
appTerm
appTerm
368
ref
"h"
1
ref
var
1315
def
425
ref
"t"
3
ref
var
1316
def
1314
remove
232
ref
1315
ref
varTerm
appTerm
1316
ref
varTerm
1317
def
appTerm
1318
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1319
def
222
ref
appTerm
1320
def
betaConv
404
ref
1237
ref
subst
nil
49
ref
41
ref
1319
ref
appTerm
nil
cons
cons
50
ref
1320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1319
remove
nil
cons
cons
858
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1321
def
nil
49
ref
1011
ref
280
ref
222
ref
appTerm
1322
def
6
ref
appTerm
1323
def
appTerm
368
remove
1315
ref
425
ref
1316
ref
1322
ref
1318
ref
appTerm
absTerm
appTerm
absTerm
1324
def
appTerm
1325
def
appTerm
nil
cons
1326
def
cons
1327
def
50
ref
989
ref
1280
remove
appTerm
1328
def
nil
cons
1329
def
cons
nil
cons
1330
def
cons
nil
cons
cons
1331
def
120
ref
subst
proveHyp
1331
ref
71
ref
subst
1331
remove
139
ref
subst
nil
265
ref
207
ref
54
ref
1324
ref
210
ref
appTerm
1332
def
appTerm
1333
def
1328
ref
appTerm
1334
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1334
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1332
ref
nil
cons
1335
def
cons
1336
def
1330
ref
cons
nil
cons
cons
1337
def
71
ref
subst
1337
remove
139
ref
subst
1332
ref
betaConv
1332
remove
assume
eqMp
1338
def
nil
49
ref
425
remove
1316
ref
1322
ref
233
ref
1317
ref
appTerm
appTerm
absTerm
1339
def
appTerm
1340
def
nil
cons
cons
1341
def
1330
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
54
ref
1339
ref
455
ref
appTerm
1342
def
appTerm
1343
def
1328
ref
appTerm
1344
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
ref
nil
84
ref
1344
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1342
ref
nil
cons
1345
def
cons
1346
def
1330
ref
cons
nil
cons
cons
1347
def
71
ref
subst
1347
remove
139
ref
subst
1342
ref
betaConv
1342
remove
assume
eqMp
1348
def
nil
49
ref
1322
remove
233
remove
455
ref
appTerm
1349
def
appTerm
1350
def
nil
cons
1351
def
cons
1352
def
1330
ref
cons
nil
cons
cons
1353
def
120
ref
subst
proveHyp
1353
ref
71
ref
subst
1353
remove
139
ref
subst
53
ref
"_16838"
3
ref
var
1354
def
989
ref
60
ref
1276
ref
1106
ref
1354
remove
varTerm
1355
def
appTerm
appTerm
appTerm
1220
ref
1278
ref
1355
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1356
def
222
ref
appTerm
1357
def
appTerm
refl
1358
def
1356
ref
1349
ref
appTerm
betaConv
appThm
99
ref
1357
remove
betaConv
appThm
1359
def
989
ref
60
ref
1276
ref
1106
ref
1349
ref
appTerm
1360
def
appTerm
appTerm
1361
def
1220
ref
1278
ref
1349
ref
appTerm
1362
def
appTerm
1363
def
appTerm
appTerm
refl
appThm
trans
1356
remove
refl
1364
def
1350
remove
assume
1365
def
appThm
eqMp
sym
1285
ref
887
ref
1161
ref
1284
ref
345
ref
1101
ref
1104
ref
350
ref
appTerm
appTerm
1366
def
"Number.Natural.suc"
const
15
ref
1097
ref
1103
ref
cons
opType
1367
def
constTerm
1368
def
1104
ref
349
ref
appTerm
1369
def
appTerm
1370
def
appTerm
absTerm
1371
def
349
ref
appTerm
1372
def
betaConv
346
ref
47
ref
1371
ref
appTerm
1373
def
absTerm
1374
def
347
ref
appTerm
1375
def
betaConv
nil
129
ref
1374
ref
appTerm
1376
def
axiom
nil
49
ref
1376
remove
nil
cons
cons
50
ref
1375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1374
remove
nil
cons
cons
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1373
remove
nil
cons
cons
50
ref
1372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1371
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1377
def
subst
appThm
1378
def
nil
1316
ref
814
ref
cons
1379
def
1315
ref
525
remove
cons
nil
cons
cons
nil
cons
cons
1380
def
404
ref
1377
ref
subst
1381
def
subst
1382
def
appThm
nil
"n"
1097
ref
var
1383
def
1106
ref
455
ref
appTerm
1384
def
nil
cons
1385
def
cons
1386
def
"m"
1097
ref
var
1387
def
1104
ref
440
ref
appTerm
1388
def
nil
cons
1389
def
cons
nil
cons
cons
nil
cons
cons
1383
ref
53
ref
1101
ref
1368
ref
1387
ref
varTerm
1390
def
appTerm
1391
def
appTerm
1368
ref
1383
ref
varTerm
1392
def
appTerm
1393
def
appTerm
appTerm
1101
ref
1390
ref
appTerm
1392
ref
appTerm
appTerm
absTerm
1394
def
1392
ref
appTerm
1395
def
betaConv
1387
ref
38
ref
15
ref
1098
ref
22
ref
cons
opType
1396
def
constTerm
1397
def
1394
ref
appTerm
1398
def
absTerm
1399
def
1390
ref
appTerm
1400
def
betaConv
nil
1397
ref
1399
ref
appTerm
1401
def
axiom
nil
49
ref
1401
remove
nil
cons
cons
50
ref
1400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
"P"
1098
ref
var
1402
def
1399
remove
nil
cons
cons
1167
ref
1390
ref
nil
cons
cons
nil
cons
1403
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1398
remove
nil
cons
cons
50
ref
1395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
1394
remove
nil
cons
cons
1167
ref
1392
ref
nil
cons
cons
nil
cons
1404
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1405
def
subst
trans
appThm
1406
def
1363
ref
refl
appThm
appThm
sym
nil
95
ref
60
ref
1101
ref
1388
remove
appTerm
1407
def
1384
ref
appTerm
1408
def
appTerm
1409
def
1363
ref
appTerm
nil
cons
1410
def
cons
1411
def
nil
cons
nil
cons
cons
1303
remove
sym
subst
nil
49
ref
1410
remove
cons
1301
ref
cons
nil
cons
cons
1412
def
71
ref
subst
1412
remove
139
ref
subst
nil
95
ref
1408
ref
nil
cons
1413
def
cons
1414
def
97
ref
1363
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1415
def
111
ref
subst
1415
remove
666
ref
subst
215
ref
54
ref
1407
remove
1185
ref
appTerm
appTerm
24
ref
1278
ref
234
ref
appTerm
appTerm
1090
ref
27
ref
440
ref
appTerm
1416
def
222
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1417
def
455
ref
appTerm
1418
def
betaConv
214
ref
41
ref
215
ref
1187
ref
24
ref
27
ref
229
ref
appTerm
234
ref
appTerm
appTerm
1090
ref
1189
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1419
def
440
remove
appTerm
1420
def
betaConv
207
ref
47
ref
1419
ref
appTerm
1421
def
absTerm
1422
def
210
remove
appTerm
1423
def
betaConv
134
ref
206
ref
1422
ref
appTerm
1424
def
absTerm
1425
def
135
ref
appTerm
1426
def
betaConv
535
ref
134
ref
536
ref
207
ref
1216
ref
214
ref
1217
ref
215
ref
1187
ref
refl
1096
ref
nil
4
ref
861
remove
cons
11
ref
863
remove
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
1090
ref
refl
nil
4
ref
852
ref
cons
11
ref
853
ref
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
130
ref
134
ref
206
ref
207
ref
47
ref
214
ref
41
ref
215
ref
1187
ref
24
ref
35
ref
229
remove
appTerm
234
remove
appTerm
appTerm
1090
ref
35
remove
220
ref
appTerm
222
ref
appTerm
appTerm
appTerm
appTerm
1427
def
absTerm
1428
def
appTerm
1429
def
absTerm
1430
def
appTerm
1431
def
absTerm
1432
def
appTerm
1433
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
1433
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
265
ref
1432
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1431
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
1430
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1429
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1428
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1427
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
918
remove
891
ref
526
remove
cons
157
remove
916
remove
890
ref
853
ref
cons
nil
cons
cons
cons
cons
cons
nil
cons
cons
161
remove
160
remove
360
ref
cons
cons
162
ref
cons
1434
def
1134
ref
1107
ref
appTerm
1435
def
betaConv
1136
ref
894
ref
appTerm
1436
def
betaConv
1138
ref
1123
ref
appTerm
1437
def
betaConv
1140
ref
892
ref
appTerm
1438
def
betaConv
1146
ref
nil
1147
ref
50
ref
1438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
1148
ref
911
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1139
remove
nil
cons
cons
50
ref
1437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
1138
remove
nil
cons
cons
266
ref
1123
ref
nil
cons
1439
def
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1440
def
nil
49
ref
1137
remove
nil
cons
cons
1441
def
50
ref
1436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1136
ref
nil
cons
cons
1442
def
913
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1135
remove
nil
cons
cons
50
ref
1435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1134
remove
nil
cons
cons
154
ref
1107
ref
nil
cons
1443
def
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1444
def
subst
subst
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1445
def
nil
49
ref
129
ref
1425
ref
appTerm
1446
def
nil
cons
cons
50
ref
1426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1425
remove
nil
cons
cons
598
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1424
remove
nil
cons
cons
50
ref
1423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
1422
remove
nil
cons
cons
791
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1421
remove
nil
cons
cons
50
ref
1420
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1419
remove
nil
cons
cons
125
ref
815
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
1417
ref
appTerm
nil
cons
cons
50
ref
1418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1417
remove
nil
cons
cons
154
ref
814
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1447
def
nil
49
ref
54
ref
1408
ref
appTerm
24
ref
1362
ref
appTerm
1090
remove
1416
remove
455
remove
appTerm
1448
def
appTerm
1449
def
appTerm
1450
def
appTerm
nil
cons
1451
def
cons
1452
def
1301
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
84
ref
1451
remove
cons
nil
cons
nil
cons
cons
84
ref
53
ref
772
remove
923
ref
appTerm
appTerm
990
ref
appTerm
absTerm
1453
def
86
ref
appTerm
1454
def
betaConv
nil
574
ref
1453
ref
appTerm
1455
def
axiom
nil
49
ref
1455
remove
nil
cons
cons
50
ref
1454
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1453
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
1285
ref
467
ref
1161
ref
1408
ref
assume
appThm
1384
remove
refl
appThm
nil
1167
ref
1385
remove
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
1456
def
appThm
1450
ref
refl
appThm
nil
84
ref
1450
ref
nil
cons
1457
def
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
1458
def
appThm
trans
sym
53
ref
"_16840"
20
ref
var
1459
def
989
ref
24
ref
1459
remove
varTerm
appTerm
1449
ref
appTerm
appTerm
absTerm
1460
def
1362
ref
appTerm
1461
def
appTerm
refl
1460
ref
189
ref
appTerm
betaConv
appThm
99
ref
1461
remove
betaConv
appThm
989
ref
1220
ref
1449
ref
appTerm
appTerm
refl
appThm
trans
1460
remove
refl
1363
remove
assume
sym
appThm
eqMp
sym
1285
ref
nil
314
ref
1448
ref
nil
cons
1462
def
cons
311
ref
211
remove
nil
cons
1463
def
cons
nil
cons
cons
nil
cons
cons
335
ref
1310
ref
subst
subst
appThm
995
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
1411
remove
97
ref
949
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1351
remove
cons
1464
def
97
ref
1329
ref
cons
nil
cons
1465
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
1345
remove
cons
1466
def
1465
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
54
ref
1339
ref
1035
remove
appTerm
appTerm
1467
def
1328
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
1340
remove
appTerm
1468
def
1328
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1339
remove
nil
cons
cons
1469
def
1465
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
1335
remove
cons
1470
def
1465
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
54
ref
1324
ref
1047
remove
appTerm
appTerm
1471
def
1328
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
1325
ref
appTerm
1472
def
1328
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
1324
remove
nil
cons
cons
1473
def
1465
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
49
ref
1323
ref
nil
cons
1474
def
cons
1475
def
1330
remove
cons
nil
cons
cons
1476
def
71
ref
subst
1476
remove
139
ref
subst
1358
remove
"_16836"
3
ref
var
1477
def
989
ref
60
ref
1276
ref
1106
ref
1477
remove
varTerm
1478
def
appTerm
appTerm
appTerm
1220
ref
1278
ref
1478
remove
appTerm
appTerm
appTerm
appTerm
absTerm
6
ref
appTerm
betaConv
appThm
1359
remove
989
ref
60
ref
1276
ref
1151
ref
appTerm
appTerm
1479
def
1220
ref
1278
ref
6
ref
appTerm
1480
def
appTerm
1481
def
appTerm
appTerm
refl
appThm
trans
1364
remove
1323
ref
assume
1482
def
appThm
eqMp
sym
1285
ref
887
ref
1378
remove
1166
ref
appThm
nil
1383
ref
1389
remove
cons
nil
cons
nil
cons
cons
1383
ref
989
ref
1101
ref
1393
ref
appTerm
1162
ref
appTerm
1483
def
appTerm
1484
def
absTerm
1485
def
1392
ref
appTerm
1486
def
betaConv
nil
1397
ref
1485
ref
appTerm
1487
def
axiom
nil
49
ref
1487
remove
nil
cons
cons
50
ref
1486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
1485
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1488
def
nil
49
ref
1484
remove
nil
cons
cons
50
ref
53
ref
1483
ref
appTerm
923
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
95
ref
1483
ref
nil
cons
cons
nil
cons
nil
cons
cons
1309
ref
subst
eqMp
1489
def
subst
trans
appThm
1490
def
1481
ref
refl
appThm
nil
84
ref
1481
remove
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
995
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
95
ref
1474
ref
cons
1491
def
1465
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1491
ref
97
ref
1325
remove
nil
cons
cons
1492
def
1015
ref
1329
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
95
ref
1326
remove
cons
1493
def
1465
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1267
remove
cons
1494
def
97
ref
1230
ref
cons
nil
cons
1495
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
1261
remove
cons
1496
def
1495
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
ref
54
ref
1255
ref
1040
ref
appTerm
appTerm
1497
def
1227
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
1256
remove
appTerm
1498
def
1227
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1255
remove
nil
cons
cons
1499
def
1495
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
1251
remove
cons
1500
def
1495
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
1250
remove
appTerm
nil
cons
cons
50
ref
54
ref
1242
ref
appTerm
1501
def
1227
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1241
remove
nil
cons
cons
1502
def
1495
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
49
ref
1240
ref
nil
cons
1503
def
cons
1504
def
1245
remove
cons
nil
cons
cons
1505
def
71
ref
subst
1505
remove
139
ref
subst
1274
remove
"_16828"
10
ref
var
1506
def
53
ref
60
ref
1222
ref
1506
remove
varTerm
1507
def
appTerm
appTerm
1226
ref
appTerm
appTerm
60
ref
1101
ref
1104
ref
1507
ref
appTerm
appTerm
1185
ref
appTerm
appTerm
1220
ref
27
ref
1507
remove
appTerm
222
ref
appTerm
appTerm
appTerm
appTerm
absTerm
12
ref
appTerm
betaConv
appThm
1275
remove
53
ref
60
ref
1222
remove
12
ref
appTerm
appTerm
1508
def
1226
remove
appTerm
appTerm
60
ref
1105
ref
1185
ref
appTerm
appTerm
1509
def
1220
ref
187
ref
222
ref
appTerm
1510
def
appTerm
appTerm
appTerm
1511
def
refl
appThm
trans
1281
remove
1240
ref
assume
1512
def
appThm
eqMp
sym
1321
ref
nil
1327
ref
50
ref
1511
ref
nil
cons
1513
def
cons
nil
cons
1514
def
cons
nil
cons
cons
1515
def
120
ref
subst
proveHyp
1515
ref
71
ref
subst
1515
remove
139
ref
subst
nil
265
ref
207
ref
1333
ref
1511
ref
appTerm
1516
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1516
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1336
ref
1514
ref
cons
nil
cons
cons
1517
def
71
ref
subst
1517
remove
139
ref
subst
1338
ref
nil
1341
ref
1514
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
1343
ref
1511
ref
appTerm
1518
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
ref
nil
84
ref
1518
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1346
ref
1514
ref
cons
nil
cons
cons
1519
def
71
ref
subst
1519
remove
139
ref
subst
1348
ref
nil
1352
ref
1514
ref
cons
nil
cons
cons
1520
def
120
ref
subst
proveHyp
1520
ref
71
ref
subst
1520
remove
139
ref
subst
53
ref
"_16834"
3
ref
var
1521
def
53
ref
1508
ref
1225
ref
1521
remove
varTerm
1522
def
appTerm
appTerm
appTerm
60
ref
1105
ref
1106
ref
1522
ref
appTerm
appTerm
appTerm
1220
ref
187
ref
1522
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1523
def
222
ref
appTerm
1524
def
appTerm
refl
1525
def
1523
ref
1349
ref
appTerm
betaConv
appThm
99
ref
1524
remove
betaConv
appThm
1526
def
53
ref
1508
ref
1225
ref
1349
ref
appTerm
appTerm
appTerm
60
ref
1105
ref
1360
remove
appTerm
appTerm
1527
def
1220
ref
187
ref
1349
ref
appTerm
1528
def
appTerm
1529
def
appTerm
appTerm
refl
appThm
trans
1523
remove
refl
1530
def
1365
ref
appThm
eqMp
sym
99
ref
887
ref
nil
1149
ref
nil
cons
cons
444
ref
303
ref
subst
subst
appThm
1531
def
1380
remove
404
ref
1310
remove
subst
subst
appThm
987
ref
1064
ref
subst
1532
def
trans
appThm
887
ref
1165
ref
1382
remove
appThm
nil
1386
remove
nil
cons
nil
cons
cons
1285
ref
1101
ref
1162
ref
appTerm
1393
ref
appTerm
1533
def
assume
sym
1483
remove
assume
sym
deductAntisym
appThm
1488
remove
eqMp
nil
49
ref
989
ref
1533
ref
appTerm
nil
cons
cons
50
ref
53
ref
1533
ref
appTerm
923
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
95
ref
1533
remove
nil
cons
cons
nil
cons
nil
cons
cons
1309
ref
subst
eqMp
1534
def
subst
trans
appThm
1535
def
1529
ref
refl
appThm
nil
84
ref
1529
remove
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
996
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1464
ref
97
ref
1513
ref
cons
nil
cons
1536
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1466
ref
1536
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
1467
ref
1511
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1468
ref
1511
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
1469
ref
1536
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1470
ref
1536
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
1471
ref
1511
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1472
ref
1511
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
1473
ref
1536
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
1475
ref
1514
remove
cons
nil
cons
cons
1537
def
71
ref
subst
1537
remove
139
ref
subst
1525
remove
"_16832"
3
ref
var
1538
def
53
ref
1508
ref
1225
ref
1538
remove
varTerm
1539
def
appTerm
appTerm
appTerm
60
ref
1105
ref
1106
ref
1539
ref
appTerm
appTerm
appTerm
1220
ref
187
ref
1539
remove
appTerm
appTerm
appTerm
appTerm
absTerm
6
ref
appTerm
betaConv
appThm
1526
remove
53
ref
1508
remove
1225
remove
6
ref
appTerm
appTerm
appTerm
60
ref
1152
ref
appTerm
1540
def
1220
ref
188
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1530
remove
1482
ref
appThm
eqMp
sym
99
ref
1531
ref
nil
1150
ref
nil
cons
cons
459
ref
303
ref
subst
subst
1541
def
appThm
1065
ref
trans
appThm
887
ref
1173
remove
appThm
1220
ref
refl
186
ref
appThm
nil
"x"
20
ref
var
1542
def
189
ref
nil
cons
cons
nil
cons
nil
cons
cons
340
remove
303
ref
subst
1543
def
subst
1544
def
trans
appThm
1065
ref
trans
appThm
1060
ref
84
ref
53
ref
53
ref
76
ref
appTerm
86
ref
appTerm
appTerm
86
ref
appTerm
absTerm
1545
def
86
ref
appTerm
1546
def
betaConv
nil
574
ref
1545
ref
appTerm
1547
def
axiom
nil
49
ref
1547
remove
nil
cons
cons
50
ref
1546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1545
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1491
ref
1536
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1491
ref
1492
ref
1015
ref
1513
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
1493
ref
1536
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1503
ref
cons
1548
def
1495
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1548
ref
97
ref
1242
remove
nil
cons
cons
1549
def
1015
ref
1230
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
95
ref
1243
remove
cons
1550
def
1495
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
47
ref
214
ref
41
ref
215
ref
53
ref
270
ref
223
ref
appTerm
appTerm
1221
remove
appTerm
absTerm
appTerm
absTerm
appTerm
1551
def
nil
cons
cons
50
ref
310
ref
311
ref
313
ref
314
ref
54
ref
47
ref
214
ref
41
ref
215
ref
53
ref
389
remove
appTerm
1212
ref
24
ref
315
ref
appTerm
1552
def
1189
ref
appTerm
appTerm
appTerm
absTerm
1553
def
appTerm
1554
def
absTerm
1555
def
appTerm
1556
def
appTerm
47
ref
214
ref
41
ref
215
ref
53
ref
326
ref
223
ref
appTerm
appTerm
1212
ref
24
ref
325
ref
appTerm
1557
def
1189
ref
appTerm
appTerm
appTerm
1558
def
absTerm
1559
def
appTerm
1560
def
absTerm
1561
def
appTerm
1562
def
appTerm
1563
def
absTerm
1564
def
appTerm
1565
def
absTerm
1566
def
appTerm
1567
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
333
ref
1566
remove
nil
cons
cons
nil
cons
nil
cons
cons
337
ref
subst
311
ref
nil
84
ref
1565
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
338
ref
1564
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
314
ref
nil
84
ref
1563
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1556
remove
nil
cons
1568
def
cons
1569
def
50
ref
1562
remove
nil
cons
1570
def
cons
nil
cons
cons
nil
cons
cons
1571
def
71
ref
subst
1571
remove
139
ref
subst
nil
124
ref
1561
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1560
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1559
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1558
ref
nil
cons
1572
def
cons
nil
cons
nil
cons
cons
90
ref
subst
1238
remove
nil
1244
remove
50
ref
1572
ref
cons
nil
cons
1573
def
cons
nil
cons
cons
1574
def
120
ref
subst
proveHyp
1574
ref
71
ref
subst
1574
remove
139
ref
subst
nil
130
ref
134
ref
1248
remove
1558
ref
appTerm
1575
def
absTerm
1576
def
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
1575
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1252
remove
1573
ref
cons
nil
cons
cons
1577
def
71
ref
subst
1577
remove
139
ref
subst
1254
remove
nil
1257
remove
1573
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
439
ref
1259
remove
1558
ref
appTerm
1578
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
439
ref
nil
84
ref
1578
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1262
remove
1573
ref
cons
nil
cons
cons
1579
def
71
ref
subst
1579
remove
139
ref
subst
1264
remove
nil
1268
remove
1573
ref
cons
nil
cons
cons
1580
def
120
ref
subst
proveHyp
1580
ref
71
ref
subst
1580
remove
139
ref
subst
53
ref
"_16846"
10
ref
var
1581
def
53
ref
326
ref
219
ref
1581
remove
varTerm
1582
def
appTerm
222
ref
appTerm
appTerm
appTerm
60
ref
1101
ref
1104
ref
1582
ref
appTerm
appTerm
1185
ref
appTerm
appTerm
1557
ref
27
ref
1582
remove
appTerm
222
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1583
def
220
ref
appTerm
1584
def
appTerm
refl
1585
def
1583
ref
1265
ref
appTerm
betaConv
appThm
99
ref
1584
remove
betaConv
appThm
1586
def
53
ref
326
ref
219
ref
1265
ref
appTerm
1587
def
222
ref
appTerm
appTerm
appTerm
1277
remove
1557
ref
1279
remove
appTerm
appTerm
appTerm
1588
def
refl
appThm
trans
1583
remove
refl
1589
def
1282
remove
appThm
eqMp
sym
1321
ref
nil
1327
ref
50
ref
1588
ref
nil
cons
1590
def
cons
nil
cons
1591
def
cons
nil
cons
cons
1592
def
120
ref
subst
proveHyp
1592
ref
71
ref
subst
1592
remove
139
ref
subst
nil
265
ref
207
ref
1333
ref
1588
ref
appTerm
1593
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1593
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1336
ref
1591
ref
cons
nil
cons
cons
1594
def
71
ref
subst
1594
remove
139
ref
subst
1338
ref
nil
1341
ref
1591
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
1343
ref
1588
ref
appTerm
1595
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
ref
nil
84
ref
1595
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1346
ref
1591
ref
cons
nil
cons
cons
1596
def
71
ref
subst
1596
remove
139
ref
subst
1348
ref
nil
1352
ref
1591
ref
cons
nil
cons
cons
1597
def
120
ref
subst
proveHyp
1597
ref
71
ref
subst
1597
remove
139
ref
subst
53
ref
"_16862"
3
ref
var
1598
def
53
ref
326
ref
1587
ref
1598
remove
varTerm
1599
def
appTerm
appTerm
appTerm
60
ref
1276
ref
1106
ref
1599
ref
appTerm
appTerm
appTerm
1557
ref
1278
ref
1599
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1600
def
222
ref
appTerm
1601
def
appTerm
refl
1602
def
1600
ref
1349
ref
appTerm
betaConv
appThm
99
ref
1601
remove
betaConv
appThm
1603
def
53
ref
326
ref
1587
ref
1349
ref
appTerm
appTerm
appTerm
1361
remove
1557
ref
1362
ref
appTerm
1604
def
appTerm
appTerm
refl
appThm
trans
1600
remove
refl
1605
def
1365
ref
appThm
eqMp
sym
99
ref
816
ref
1055
ref
subst
388
ref
refl
1606
def
816
remove
1553
ref
222
ref
appTerm
1607
def
betaConv
1555
ref
220
ref
appTerm
1608
def
betaConv
nil
1569
remove
50
ref
1608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
123
ref
124
ref
1555
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1554
remove
nil
cons
cons
50
ref
1607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1553
remove
nil
cons
cons
858
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
appThm
trans
appThm
1406
remove
1604
ref
refl
1609
def
appThm
appThm
sym
nil
49
ref
989
ref
1408
ref
appTerm
nil
cons
1610
def
cons
1611
def
50
ref
53
ref
388
ref
1409
ref
1552
remove
1448
remove
appTerm
1612
def
appTerm
appTerm
appTerm
1409
remove
1604
ref
appTerm
appTerm
nil
cons
1613
def
cons
nil
cons
1614
def
cons
nil
cons
cons
1615
def
71
ref
subst
1615
remove
139
ref
subst
99
ref
1606
ref
887
ref
nil
1611
remove
50
ref
53
ref
1408
ref
appTerm
923
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
nil
1414
ref
nil
cons
nil
cons
cons
1309
ref
subst
eqMp
appThm
1616
def
1612
ref
refl
1617
def
appThm
nil
84
ref
1612
ref
nil
cons
cons
nil
cons
nil
cons
cons
1618
def
981
ref
subst
trans
appThm
nil
84
ref
387
remove
nil
cons
cons
nil
cons
nil
cons
cons
976
ref
subst
trans
appThm
1616
remove
1609
ref
appThm
nil
84
ref
1604
ref
nil
cons
cons
nil
cons
nil
cons
cons
1619
def
981
ref
subst
trans
appThm
996
ref
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
1610
ref
cons
97
ref
1613
ref
cons
nil
cons
1620
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
49
ref
1413
ref
cons
1614
ref
cons
nil
cons
cons
1621
def
71
ref
subst
1621
remove
139
ref
subst
1447
remove
nil
1452
remove
1614
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
1458
remove
appThm
99
ref
1606
remove
887
ref
1456
remove
appThm
1622
def
1617
remove
appThm
1618
remove
1064
ref
subst
trans
appThm
appThm
1622
remove
1609
remove
appThm
1619
remove
1064
ref
subst
trans
appThm
appThm
sym
nil
49
ref
1457
ref
cons
50
ref
53
ref
388
remove
1612
remove
appTerm
1623
def
appTerm
1624
def
1604
remove
appTerm
nil
cons
1625
def
cons
nil
cons
cons
nil
cons
cons
1626
def
71
ref
subst
1626
remove
139
ref
subst
53
ref
"_16866"
20
ref
var
1627
def
1624
ref
1557
ref
1627
remove
varTerm
appTerm
appTerm
absTerm
1628
def
1362
remove
appTerm
1629
def
appTerm
refl
1628
ref
1449
ref
appTerm
betaConv
appThm
99
ref
1629
remove
betaConv
appThm
1624
ref
1557
ref
1449
remove
appTerm
appTerm
refl
appThm
trans
1628
remove
refl
1450
remove
assume
appThm
eqMp
sym
1624
remove
refl
nil
"t2"
20
ref
var
1462
remove
cons
"h2"
18
ref
var
1463
remove
cons
"t1"
20
ref
var
315
ref
nil
cons
cons
"h1"
18
ref
var
377
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
335
ref
914
remove
subst
subst
appThm
nil
631
ref
1623
remove
nil
cons
cons
nil
cons
nil
cons
cons
1009
remove
subst
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
95
ref
1457
remove
cons
97
ref
1625
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1414
ref
1620
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
84
ref
1011
ref
86
ref
appTerm
990
remove
appTerm
absTerm
1630
def
1408
remove
appTerm
1631
def
betaConv
nil
574
ref
1630
ref
appTerm
1632
def
axiom
nil
49
ref
1632
remove
nil
cons
cons
50
ref
1631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1630
remove
nil
cons
cons
631
remove
1413
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
1414
remove
97
ref
1610
remove
cons
1015
ref
1613
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
1464
ref
97
ref
1590
ref
cons
nil
cons
1633
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1466
ref
1633
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
1467
ref
1588
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1468
ref
1588
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
1469
ref
1633
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1470
ref
1633
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
1471
ref
1588
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1472
ref
1588
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
1473
ref
1633
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
1475
ref
1591
remove
cons
nil
cons
cons
1634
def
71
ref
subst
1634
remove
139
ref
subst
1602
remove
"_16858"
3
ref
var
1635
def
53
ref
326
ref
1587
ref
1635
remove
varTerm
1636
def
appTerm
appTerm
appTerm
60
ref
1276
remove
1106
ref
1636
ref
appTerm
appTerm
appTerm
1557
ref
1278
remove
1636
remove
appTerm
appTerm
appTerm
appTerm
absTerm
6
ref
appTerm
betaConv
appThm
1603
remove
53
ref
326
ref
1587
remove
6
ref
appTerm
appTerm
appTerm
1479
remove
1557
ref
1480
remove
appTerm
1637
def
appTerm
appTerm
refl
appThm
trans
1605
remove
1482
ref
appThm
eqMp
sym
99
ref
nil
214
ref
1265
remove
nil
cons
cons
1066
ref
325
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1066
ref
1011
remove
1213
ref
189
ref
appTerm
1638
def
appTerm
365
ref
309
remove
constTerm
311
ref
365
ref
312
remove
constTerm
314
ref
1213
remove
325
ref
appTerm
1639
def
absTerm
1640
def
appTerm
1641
def
absTerm
1642
def
appTerm
1643
def
appTerm
1644
def
absTerm
1645
def
1067
ref
appTerm
1646
def
betaConv
335
ref
1237
remove
subst
nil
49
ref
313
ref
1645
ref
appTerm
nil
cons
cons
50
ref
1646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
339
ref
338
ref
1645
remove
nil
cons
cons
1542
ref
1067
ref
nil
cons
cons
nil
cons
1647
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1648
def
nil
49
ref
1644
remove
nil
cons
1649
def
cons
1650
def
50
ref
53
ref
1068
ref
221
remove
6
ref
appTerm
1651
def
appTerm
appTerm
60
ref
1638
ref
appTerm
1652
def
1240
ref
appTerm
appTerm
1653
def
nil
cons
1654
def
cons
nil
cons
1655
def
cons
nil
cons
cons
1656
def
120
ref
subst
proveHyp
1656
ref
71
ref
subst
1656
remove
139
ref
subst
nil
333
ref
311
ref
54
ref
1642
ref
324
ref
appTerm
1657
def
appTerm
1658
def
1653
ref
appTerm
1659
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
337
ref
subst
311
ref
nil
84
ref
1659
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1657
ref
nil
cons
1660
def
cons
1661
def
1655
ref
cons
nil
cons
cons
1662
def
71
ref
subst
1662
remove
139
ref
subst
1657
ref
betaConv
1657
remove
assume
eqMp
1663
def
nil
49
ref
1641
ref
nil
cons
cons
1664
def
1655
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
338
ref
314
ref
54
ref
1640
ref
315
ref
appTerm
1665
def
appTerm
1666
def
1653
ref
appTerm
1667
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
314
ref
nil
84
ref
1667
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1665
ref
nil
cons
1668
def
cons
1669
def
1655
ref
cons
nil
cons
cons
1670
def
71
ref
subst
1670
remove
139
ref
subst
1665
ref
betaConv
1665
remove
assume
eqMp
1671
def
nil
49
ref
1639
ref
nil
cons
1672
def
cons
1673
def
1655
ref
cons
nil
cons
cons
1674
def
120
ref
subst
proveHyp
1674
ref
71
ref
subst
1674
remove
139
ref
subst
53
ref
"_16798"
20
ref
var
1675
def
53
ref
217
ref
194
ref
1675
remove
varTerm
1676
def
appTerm
appTerm
1651
ref
appTerm
appTerm
60
ref
24
ref
1676
remove
appTerm
189
ref
appTerm
appTerm
1240
ref
appTerm
appTerm
absTerm
1677
def
1067
ref
appTerm
1678
def
appTerm
refl
1679
def
1677
ref
325
ref
appTerm
betaConv
appThm
99
ref
1678
remove
betaConv
appThm
1680
def
53
ref
326
ref
1651
ref
appTerm
appTerm
60
ref
1557
ref
189
ref
appTerm
appTerm
1681
def
1240
ref
appTerm
appTerm
1682
def
refl
appThm
trans
1677
remove
refl
1683
def
1639
remove
assume
1684
def
appThm
eqMp
sym
379
ref
nil
386
ref
50
ref
1682
ref
nil
cons
1685
def
cons
nil
cons
1686
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
130
ref
367
ref
394
ref
1682
ref
appTerm
1687
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
367
ref
nil
84
ref
1687
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
397
ref
1686
ref
cons
nil
cons
cons
1688
def
71
ref
subst
1688
remove
139
ref
subst
399
ref
nil
400
ref
1686
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
265
ref
246
ref
402
ref
1682
ref
appTerm
1689
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
246
ref
nil
84
ref
1689
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
407
ref
1686
ref
cons
nil
cons
cons
1690
def
71
ref
subst
1690
remove
139
ref
subst
409
ref
nil
411
ref
1686
remove
cons
nil
cons
cons
1691
def
120
ref
subst
proveHyp
1691
ref
71
ref
subst
1691
remove
139
ref
subst
53
ref
"_16800"
18
ref
var
1692
def
53
ref
217
ref
194
ref
323
ref
1692
remove
varTerm
appTerm
315
ref
appTerm
1693
def
appTerm
appTerm
1651
ref
appTerm
appTerm
60
ref
24
ref
1693
remove
appTerm
189
ref
appTerm
appTerm
1240
ref
appTerm
appTerm
absTerm
1694
def
324
ref
appTerm
1695
def
appTerm
refl
1694
ref
372
ref
appTerm
betaConv
appThm
99
ref
1695
remove
betaConv
appThm
53
ref
418
ref
1651
ref
appTerm
appTerm
60
ref
24
ref
417
remove
appTerm
189
ref
appTerm
appTerm
1696
def
1240
ref
appTerm
1697
def
appTerm
1698
def
refl
appThm
trans
1694
remove
refl
422
ref
appThm
eqMp
sym
433
ref
nil
436
ref
50
ref
1698
ref
nil
cons
1699
def
cons
nil
cons
1700
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
439
ref
442
ref
1698
ref
appTerm
1701
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
439
ref
nil
84
ref
1701
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
447
ref
1700
ref
cons
nil
cons
cons
1702
def
71
ref
subst
1702
remove
139
ref
subst
449
ref
nil
453
ref
1700
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
457
ref
1698
ref
appTerm
1703
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
ref
nil
84
ref
1703
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
462
ref
1700
ref
cons
nil
cons
cons
1704
def
71
ref
subst
1704
remove
139
ref
subst
464
ref
nil
466
ref
1700
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
469
ref
99
ref
793
ref
1651
ref
refl
1705
def
appThm
appThm
1697
ref
refl
appThm
appThm
sym
nil
799
ref
50
ref
53
ref
805
ref
1651
ref
appTerm
appTerm
1697
ref
appTerm
nil
cons
1706
def
cons
nil
cons
cons
nil
cons
cons
1707
def
71
ref
subst
1707
remove
139
ref
subst
53
ref
"_16814"
191
ref
var
1708
def
53
ref
217
ref
804
ref
1708
remove
varTerm
appTerm
appTerm
1651
ref
appTerm
appTerm
1697
ref
appTerm
absTerm
1709
def
792
ref
appTerm
1710
def
appTerm
refl
1709
ref
465
ref
appTerm
betaConv
appThm
99
ref
1710
remove
betaConv
appThm
53
ref
812
ref
1651
ref
appTerm
appTerm
1697
remove
appTerm
refl
appThm
trans
1709
remove
refl
813
ref
appThm
eqMp
sym
99
ref
859
ref
1705
ref
appThm
nil
860
remove
7
remove
cons
1711
def
920
ref
866
ref
cons
cons
nil
cons
cons
886
ref
subst
60
ref
830
ref
865
remove
appTerm
220
remove
appTerm
1712
def
appTerm
refl
nil
1379
remove
1315
ref
267
remove
cons
nil
cons
cons
nil
cons
cons
404
ref
1295
remove
nil
49
ref
1288
remove
nil
cons
cons
50
ref
53
ref
1287
ref
appTerm
923
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
95
ref
1287
remove
nil
cons
cons
nil
cons
nil
cons
cons
1309
ref
subst
eqMp
1713
def
subst
subst
appThm
nil
84
ref
1712
remove
nil
cons
cons
nil
cons
nil
cons
cons
976
ref
subst
trans
trans
trans
appThm
887
ref
nil
470
remove
nil
cons
nil
cons
cons
335
remove
1713
ref
subst
1714
def
subst
appThm
1715
def
1240
ref
refl
1716
def
appThm
nil
84
ref
1503
remove
cons
nil
cons
nil
cons
cons
1717
def
981
ref
subst
trans
appThm
996
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1032
ref
97
ref
1706
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1033
ref
97
ref
1699
remove
cons
nil
cons
1718
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
1036
ref
1698
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1037
ref
1698
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
1038
ref
1718
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1039
ref
1718
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
ref
1041
ref
1698
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1042
ref
1698
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
1043
ref
1718
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1044
ref
97
ref
1685
remove
cons
nil
cons
1719
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1046
ref
1719
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
1048
ref
1682
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1049
ref
1682
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
1050
ref
1719
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1051
ref
1719
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
134
ref
54
ref
384
remove
135
ref
appTerm
appTerm
1720
def
1682
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1053
ref
1682
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
1054
ref
1719
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1672
remove
cons
1721
def
97
ref
1654
ref
cons
nil
cons
1722
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
1668
remove
cons
1723
def
1722
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
313
ref
1542
ref
54
ref
1640
ref
1542
ref
varTerm
appTerm
appTerm
1724
def
1653
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
1641
remove
appTerm
1725
def
1653
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
339
ref
338
ref
1640
remove
nil
cons
cons
1726
def
1722
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
1660
remove
cons
1727
def
1722
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
310
ref
364
ref
54
ref
1642
ref
370
remove
appTerm
appTerm
1728
def
1653
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
1643
ref
appTerm
1729
def
1653
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
334
ref
333
ref
1642
remove
nil
cons
cons
1730
def
1722
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
49
ref
1638
ref
nil
cons
1731
def
cons
1732
def
1655
remove
cons
nil
cons
cons
1733
def
71
ref
subst
1733
remove
139
ref
subst
1679
remove
"_16796"
20
ref
var
1734
def
53
ref
217
ref
194
ref
1734
remove
varTerm
1735
def
appTerm
appTerm
1651
ref
appTerm
appTerm
60
ref
24
ref
1735
remove
appTerm
189
ref
appTerm
appTerm
1240
ref
appTerm
appTerm
absTerm
189
ref
appTerm
betaConv
appThm
1680
remove
53
ref
270
ref
1651
remove
appTerm
appTerm
60
ref
1220
remove
189
ref
appTerm
appTerm
1736
def
1240
remove
appTerm
appTerm
refl
appThm
trans
1683
remove
1638
remove
assume
1737
def
appThm
eqMp
sym
99
ref
272
ref
1705
remove
appThm
nil
1711
remove
1219
remove
cons
nil
cons
cons
886
ref
subst
1224
remove
refl
1541
remove
appThm
nil
84
ref
1223
remove
nil
cons
cons
nil
cons
nil
cons
cons
1008
ref
subst
trans
trans
trans
appThm
887
ref
1544
remove
appThm
1738
def
1716
remove
appThm
1717
remove
1064
ref
subst
trans
appThm
sym
nil
"y"
10
ref
var
853
remove
cons
1149
remove
cons
nil
cons
cons
444
remove
"y"
8
ref
var
1739
def
53
ref
302
remove
1739
remove
varTerm
1740
def
appTerm
appTerm
301
ref
1740
ref
appTerm
135
ref
appTerm
appTerm
absTerm
1741
def
1740
ref
appTerm
1742
def
betaConv
134
ref
129
ref
1741
ref
appTerm
1743
def
absTerm
1744
def
135
ref
appTerm
1745
def
betaConv
nil
129
ref
1744
ref
appTerm
1746
def
axiom
nil
49
ref
1746
remove
nil
cons
cons
50
ref
1745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1744
remove
nil
cons
cons
598
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1743
remove
nil
cons
cons
50
ref
1742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
1741
remove
nil
cons
cons
134
ref
1740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1747
def
subst
subst
eqMp
eqMp
eqMp
nil
95
ref
1731
remove
cons
1748
def
1722
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1748
ref
97
ref
1643
remove
nil
cons
cons
1749
def
1015
ref
1654
ref
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
95
ref
1649
remove
cons
1750
def
1722
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
1751
def
subst
887
ref
1714
ref
appThm
1752
def
1284
remove
1713
ref
subst
appThm
987
remove
981
ref
subst
1753
def
trans
trans
appThm
1490
remove
1637
ref
refl
appThm
nil
84
ref
1637
remove
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
996
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1491
ref
1633
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1491
ref
1492
ref
1015
ref
1590
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
1493
ref
1633
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1494
remove
97
ref
1572
ref
cons
nil
cons
1754
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1496
remove
1754
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
ref
1497
remove
1558
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1498
remove
1558
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
1499
remove
1754
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1500
remove
1754
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
1576
remove
appTerm
nil
cons
cons
50
ref
1501
remove
1558
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
1502
remove
1754
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
1504
remove
1573
remove
cons
nil
cons
cons
1755
def
71
ref
subst
1755
remove
139
ref
subst
1585
remove
"_16842"
10
ref
var
1756
def
53
ref
326
ref
219
remove
1756
remove
varTerm
1757
def
appTerm
222
ref
appTerm
appTerm
appTerm
60
ref
1101
ref
1104
ref
1757
ref
appTerm
appTerm
1185
ref
appTerm
appTerm
1557
ref
27
ref
1757
remove
appTerm
222
ref
appTerm
appTerm
appTerm
appTerm
absTerm
12
ref
appTerm
betaConv
appThm
1586
remove
53
ref
326
remove
238
remove
222
ref
appTerm
1758
def
appTerm
appTerm
1759
def
1509
remove
1557
ref
1510
remove
appTerm
appTerm
1760
def
appTerm
refl
appThm
trans
1589
remove
1512
remove
appThm
eqMp
sym
99
ref
379
remove
nil
386
remove
50
ref
1759
remove
1681
remove
1323
ref
appTerm
appTerm
1761
def
nil
cons
1762
def
cons
nil
cons
1763
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
130
ref
367
ref
394
remove
1761
ref
appTerm
1764
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
367
remove
nil
84
ref
1764
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
397
remove
1763
ref
cons
nil
cons
cons
1765
def
71
ref
subst
1765
remove
139
ref
subst
399
remove
nil
400
remove
1763
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
265
ref
246
ref
402
remove
1761
ref
appTerm
1766
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
246
remove
nil
84
ref
1766
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
407
remove
1763
ref
cons
nil
cons
cons
1767
def
71
ref
subst
1767
remove
139
ref
subst
409
remove
nil
411
remove
1763
remove
cons
nil
cons
cons
1768
def
120
ref
subst
proveHyp
1768
ref
71
ref
subst
1768
remove
139
ref
subst
53
ref
"_16768"
18
remove
var
1769
def
53
ref
217
ref
194
ref
323
remove
1769
remove
varTerm
appTerm
315
ref
appTerm
1770
def
appTerm
appTerm
1758
ref
appTerm
appTerm
60
ref
24
ref
1770
remove
appTerm
189
ref
appTerm
appTerm
1323
ref
appTerm
appTerm
absTerm
1771
def
324
remove
appTerm
1772
def
appTerm
refl
1771
ref
372
remove
appTerm
betaConv
appThm
99
ref
1772
remove
betaConv
appThm
53
ref
418
remove
1758
ref
appTerm
appTerm
1696
remove
1323
ref
appTerm
1773
def
appTerm
1774
def
refl
appThm
trans
1771
remove
refl
422
remove
appThm
eqMp
sym
433
remove
nil
436
remove
50
ref
1774
ref
nil
cons
1775
def
cons
nil
cons
1776
def
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
439
ref
442
remove
1774
ref
appTerm
1777
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
439
remove
nil
84
ref
1777
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
447
remove
1776
ref
cons
nil
cons
cons
1778
def
71
ref
subst
1778
remove
139
ref
subst
449
remove
nil
453
remove
1776
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
457
remove
1774
ref
appTerm
1779
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
ref
nil
84
ref
1779
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
462
remove
1776
ref
cons
nil
cons
cons
1780
def
71
ref
subst
1780
remove
139
ref
subst
464
remove
nil
466
remove
1776
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
469
remove
99
ref
793
remove
1758
ref
refl
1781
def
appThm
appThm
1773
ref
refl
appThm
appThm
sym
nil
799
remove
50
ref
53
ref
805
remove
1758
ref
appTerm
appTerm
1773
ref
appTerm
nil
cons
1782
def
cons
nil
cons
cons
nil
cons
cons
1783
def
71
ref
subst
1783
remove
139
ref
subst
53
ref
"_16782"
191
remove
var
1784
def
53
ref
217
ref
804
remove
1784
remove
varTerm
appTerm
appTerm
1758
ref
appTerm
appTerm
1773
ref
appTerm
absTerm
1785
def
792
remove
appTerm
1786
def
appTerm
refl
1785
ref
465
remove
appTerm
betaConv
appThm
99
ref
1786
remove
betaConv
appThm
53
ref
812
remove
1758
ref
appTerm
appTerm
1773
remove
appTerm
refl
appThm
trans
1785
remove
refl
813
remove
appThm
eqMp
sym
99
ref
859
remove
1781
ref
appThm
nil
919
ref
862
remove
13
remove
cons
1787
def
866
remove
cons
cons
nil
cons
cons
886
ref
subst
887
ref
nil
1283
remove
346
ref
483
remove
cons
nil
cons
cons
nil
cons
cons
1713
remove
subst
appThm
280
ref
864
remove
appTerm
222
ref
appTerm
1788
def
refl
appThm
nil
84
ref
1788
remove
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
trans
trans
appThm
1715
remove
1323
ref
refl
1789
def
appThm
nil
84
ref
1474
remove
cons
nil
cons
nil
cons
cons
1790
def
981
ref
subst
1791
def
trans
appThm
996
remove
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1032
remove
97
ref
1782
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1033
remove
97
ref
1775
remove
cons
nil
cons
1792
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
1036
remove
1774
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1037
remove
1774
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
1038
remove
1792
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1039
remove
1792
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
ref
1041
remove
1774
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1042
remove
1774
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
1043
remove
1792
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1044
remove
97
ref
1762
remove
cons
nil
cons
1793
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1046
remove
1793
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
1048
remove
1761
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1049
remove
1761
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
1050
remove
1793
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1051
remove
1793
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
134
ref
1720
remove
1761
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1053
remove
1761
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
1054
remove
1793
remove
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
1794
def
1752
remove
1789
ref
appThm
1791
remove
trans
trans
appThm
1760
ref
refl
appThm
nil
84
ref
1760
ref
nil
cons
cons
nil
cons
nil
cons
cons
994
remove
subst
trans
sym
1321
remove
nil
1327
remove
50
ref
989
ref
1760
remove
appTerm
1795
def
nil
cons
1796
def
cons
nil
cons
1797
def
cons
nil
cons
cons
1798
def
120
ref
subst
proveHyp
1798
ref
71
ref
subst
1798
remove
139
ref
subst
nil
265
ref
207
ref
1333
remove
1795
ref
appTerm
1799
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1799
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1336
remove
1797
ref
cons
nil
cons
cons
1800
def
71
ref
subst
1800
remove
139
ref
subst
1338
remove
nil
1341
remove
1797
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
153
ref
454
ref
1343
remove
1795
ref
appTerm
1801
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
454
remove
nil
84
ref
1801
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1346
remove
1797
ref
cons
nil
cons
cons
1802
def
71
ref
subst
1802
remove
139
ref
subst
1348
remove
nil
1352
remove
1797
ref
cons
nil
cons
cons
1803
def
120
ref
subst
proveHyp
1803
ref
71
ref
subst
1803
remove
139
ref
subst
53
ref
"_16854"
3
ref
var
1804
def
989
ref
60
ref
1105
ref
1106
ref
1804
remove
varTerm
1805
def
appTerm
appTerm
appTerm
1557
ref
187
ref
1805
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1806
def
222
ref
appTerm
1807
def
appTerm
refl
1808
def
1806
ref
1349
remove
appTerm
betaConv
appThm
99
ref
1807
remove
betaConv
appThm
1809
def
989
ref
1527
remove
1557
ref
1528
remove
appTerm
1810
def
appTerm
appTerm
refl
appThm
trans
1806
remove
refl
1811
def
1365
remove
appThm
eqMp
sym
1285
ref
1535
remove
1810
ref
refl
appThm
nil
84
ref
1810
remove
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
995
ref
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1464
remove
97
ref
1796
ref
cons
nil
cons
1812
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1466
remove
1812
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
41
ref
154
ref
1467
remove
1795
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1468
remove
1795
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
1469
remove
1812
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1470
remove
1812
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
206
ref
266
ref
1471
remove
1795
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1472
remove
1795
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
1473
remove
1812
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
1475
remove
1797
remove
cons
nil
cons
cons
1813
def
71
ref
subst
1813
remove
139
ref
subst
1808
remove
"_16850"
3
ref
var
1814
def
989
ref
60
ref
1105
ref
1106
ref
1814
remove
varTerm
1815
def
appTerm
appTerm
appTerm
1557
ref
187
remove
1815
remove
appTerm
appTerm
appTerm
appTerm
absTerm
6
ref
appTerm
betaConv
appThm
1809
remove
989
ref
1540
ref
1557
ref
188
remove
appTerm
appTerm
appTerm
refl
appThm
trans
1811
remove
1482
remove
appThm
eqMp
sym
1285
remove
1540
remove
refl
1557
remove
refl
186
remove
appThm
1714
remove
trans
appThm
nil
84
ref
1152
remove
nil
cons
cons
nil
cons
nil
cons
cons
976
ref
subst
trans
appThm
995
remove
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
1491
ref
1812
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1491
remove
1492
remove
1015
ref
1796
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
1493
remove
1812
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1548
ref
1754
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1548
remove
1549
remove
1015
ref
1572
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
ref
subst
proveHyp
proveHyp
eqMp
nil
1550
remove
1754
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
95
ref
1568
remove
cons
97
ref
1570
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
1551
remove
appTerm
1567
remove
appTerm
nil
cons
cons
50
ref
313
ref
1214
ref
appTerm
1816
def
nil
cons
1817
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1214
ref
189
ref
appTerm
betaConv
appThm
1072
remove
311
ref
1073
ref
314
ref
467
ref
1214
ref
315
remove
appTerm
betaConv
appThm
1214
ref
325
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1073
remove
1066
ref
1214
ref
1067
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1076
remove
1214
remove
nil
cons
1818
def
cons
nil
cons
nil
cons
cons
1086
remove
subst
eqMp
eqMp
1819
def
nil
49
ref
1817
remove
cons
50
ref
1215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
339
ref
338
ref
1818
remove
cons
1542
ref
1189
ref
nil
cons
1820
def
cons
nil
cons
1821
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
47
ref
1210
ref
appTerm
nil
cons
cons
50
ref
1211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
1210
remove
nil
cons
cons
857
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
1206
ref
appTerm
nil
cons
cons
50
ref
1207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1206
remove
nil
cons
cons
858
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1822
def
nil
49
ref
53
ref
1202
remove
223
remove
appTerm
appTerm
1212
remove
1205
remove
1189
ref
appTerm
appTerm
appTerm
nil
cons
cons
1823
def
1199
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
99
ref
271
remove
nil
1066
ref
1820
remove
cons
nil
cons
nil
cons
cons
1075
remove
1087
remove
nil
49
ref
1071
remove
cons
50
ref
1074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
339
ref
338
ref
1077
remove
cons
1647
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
appThm
795
remove
appThm
nil
919
ref
920
remove
426
remove
306
remove
1189
remove
appTerm
1824
def
nil
cons
cons
424
remove
1190
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
886
ref
subst
trans
appThm
887
ref
1161
ref
1186
remove
assume
appThm
1185
ref
refl
appThm
nil
1167
ref
1185
remove
nil
cons
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
appThm
nil
1821
remove
nil
cons
cons
1543
remove
subst
appThm
1065
ref
trans
appThm
nil
84
ref
60
ref
1191
ref
appTerm
280
remove
1824
remove
appTerm
222
remove
appTerm
1825
def
appTerm
nil
cons
1826
def
cons
nil
cons
nil
cons
cons
84
ref
53
ref
88
remove
appTerm
86
ref
appTerm
absTerm
1827
def
86
ref
appTerm
1828
def
betaConv
nil
574
ref
1827
ref
appTerm
1829
def
axiom
nil
49
ref
1829
remove
nil
cons
cons
50
ref
1828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
ref
579
ref
1827
remove
nil
cons
cons
776
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
trans
appThm
1830
def
1191
remove
refl
appThm
sym
nil
49
ref
1826
ref
cons
1831
def
1199
remove
cons
nil
cons
cons
1832
def
71
ref
subst
1832
remove
139
ref
subst
nil
95
ref
1198
ref
cons
97
ref
1825
ref
nil
cons
1833
def
cons
nil
cons
1834
def
cons
nil
cons
cons
1835
def
111
ref
subst
eqMp
nil
95
ref
1826
remove
cons
1836
def
97
ref
1198
remove
cons
nil
cons
1837
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
1196
remove
cons
1838
def
1837
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
47
ref
1195
remove
appTerm
thm
nil
124
ref
214
ref
41
ref
215
ref
1187
remove
1825
ref
appTerm
1839
def
absTerm
1840
def
appTerm
1841
def
absTerm
1842
def
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1841
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1840
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1839
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1197
remove
50
ref
1833
remove
cons
nil
cons
1843
def
cons
nil
cons
cons
1844
def
71
ref
subst
1844
remove
139
ref
subst
1822
remove
nil
1823
remove
1843
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
1830
remove
1825
remove
refl
appThm
sym
nil
1831
remove
1843
remove
cons
nil
cons
cons
1845
def
71
ref
subst
1845
remove
139
ref
subst
1835
remove
666
ref
subst
eqMp
nil
1836
remove
1834
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1838
remove
1834
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
47
ref
1842
remove
appTerm
thm
nil
338
ref
1066
ref
47
ref
214
ref
1653
remove
absTerm
1846
def
appTerm
1847
def
absTerm
1848
def
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
1066
ref
nil
84
ref
1847
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
1846
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
ref
nil
84
ref
1654
remove
cons
nil
cons
nil
cons
cons
90
ref
subst
1751
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
313
ref
1848
remove
appTerm
thm
nil
338
ref
1066
ref
41
ref
215
ref
53
ref
1068
remove
1758
ref
appTerm
appTerm
1652
remove
1323
ref
appTerm
appTerm
1849
def
absTerm
1850
def
appTerm
1851
def
absTerm
1852
def
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
1066
remove
nil
84
ref
1851
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1850
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
ref
nil
84
ref
1849
ref
nil
cons
1853
def
cons
nil
cons
nil
cons
cons
90
ref
subst
1648
remove
nil
1650
remove
50
ref
1853
ref
cons
nil
cons
1854
def
cons
nil
cons
cons
1855
def
120
ref
subst
proveHyp
1855
ref
71
ref
subst
1855
remove
139
ref
subst
nil
333
ref
311
ref
1658
remove
1849
ref
appTerm
1856
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
337
ref
subst
311
ref
nil
84
ref
1856
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1661
remove
1854
ref
cons
nil
cons
cons
1857
def
71
ref
subst
1857
remove
139
ref
subst
1663
remove
nil
1664
remove
1854
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
338
ref
314
ref
1666
remove
1849
ref
appTerm
1858
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
314
ref
nil
84
ref
1858
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1669
remove
1854
ref
cons
nil
cons
cons
1859
def
71
ref
subst
1859
remove
139
ref
subst
1671
remove
nil
1673
remove
1854
ref
cons
nil
cons
cons
1860
def
120
ref
subst
proveHyp
1860
ref
71
ref
subst
1860
remove
139
ref
subst
53
ref
"_16766"
20
ref
var
1861
def
53
ref
217
ref
194
ref
1861
remove
varTerm
1862
def
appTerm
appTerm
1758
ref
appTerm
appTerm
60
ref
24
ref
1862
remove
appTerm
189
ref
appTerm
appTerm
1323
ref
appTerm
appTerm
absTerm
1863
def
1067
remove
appTerm
1864
def
appTerm
refl
1865
def
1863
ref
325
remove
appTerm
betaConv
appThm
99
ref
1864
remove
betaConv
appThm
1866
def
1761
remove
refl
appThm
trans
1863
remove
refl
1867
def
1684
remove
appThm
eqMp
sym
1794
remove
eqMp
eqMp
nil
1721
remove
97
ref
1853
ref
cons
nil
cons
1868
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1723
remove
1868
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
313
ref
1542
remove
1724
remove
1849
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1725
remove
1849
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
339
remove
1726
remove
1868
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
1727
remove
1868
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
310
ref
364
remove
1728
remove
1849
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
1729
remove
1849
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
334
remove
1730
remove
1868
ref
cons
nil
cons
cons
632
ref
subst
eqMp
nil
1732
remove
1854
remove
cons
nil
cons
cons
1869
def
71
ref
subst
1869
remove
139
ref
subst
1865
remove
"_16764"
20
ref
var
1870
def
53
ref
217
remove
194
remove
1870
remove
varTerm
1871
def
appTerm
appTerm
1758
ref
appTerm
appTerm
60
ref
24
ref
1871
remove
appTerm
189
ref
appTerm
appTerm
1323
ref
appTerm
appTerm
absTerm
189
remove
appTerm
betaConv
appThm
1866
remove
53
ref
270
remove
1758
remove
appTerm
appTerm
1736
remove
1323
remove
appTerm
appTerm
refl
appThm
trans
1867
remove
1737
remove
appThm
eqMp
sym
99
ref
272
remove
1781
remove
appThm
nil
919
remove
1787
remove
1218
remove
cons
cons
nil
cons
cons
886
remove
subst
1531
remove
1311
remove
appThm
1312
remove
1064
ref
subst
trans
trans
trans
appThm
1738
remove
1789
remove
appThm
1790
remove
1064
remove
subst
trans
appThm
sym
nil
"y"
3
ref
var
852
remove
cons
1150
remove
cons
nil
cons
cons
459
remove
1747
remove
subst
subst
eqMp
eqMp
eqMp
nil
1748
ref
1868
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
nil
1748
remove
1749
remove
1015
remove
1853
remove
cons
nil
cons
cons
cons
nil
cons
cons
1031
remove
subst
proveHyp
proveHyp
eqMp
nil
1750
remove
1868
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
313
ref
1852
remove
appTerm
thm
nil
183
ref
167
ref
129
ref
134
ref
206
ref
207
ref
1158
remove
absTerm
1872
def
appTerm
1873
def
absTerm
1874
def
appTerm
1875
def
absTerm
1876
def
nil
cons
cons
nil
cons
nil
cons
cons
182
remove
162
ref
cons
336
ref
subst
1877
def
subst
167
ref
nil
84
ref
1875
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
130
ref
1874
remove
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
134
ref
nil
84
ref
1873
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
265
ref
1872
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
207
ref
nil
84
ref
1159
remove
cons
nil
cons
nil
cons
cons
90
ref
subst
1183
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
180
ref
1876
remove
appTerm
thm
nil
124
ref
11
ref
41
ref
4
ref
1397
ref
1383
ref
54
ref
60
ref
1101
ref
1104
ref
28
ref
appTerm
1878
def
appTerm
1392
ref
appTerm
appTerm
1879
def
1101
ref
1106
ref
29
ref
appTerm
appTerm
1392
ref
appTerm
1880
def
appTerm
appTerm
1881
def
1101
ref
1102
ref
15
ref
20
ref
1103
ref
cons
opType
constTerm
1882
def
30
ref
appTerm
appTerm
1392
ref
appTerm
appTerm
1883
def
absTerm
1884
def
appTerm
1885
def
absTerm
1886
def
appTerm
1887
def
absTerm
1888
def
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
11
ref
nil
84
ref
1887
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1886
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
4
ref
nil
84
ref
1885
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1402
ref
1884
remove
nil
cons
cons
nil
cons
nil
cons
cons
1170
remove
336
ref
subst
1889
def
subst
1383
ref
nil
84
ref
1883
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
1881
ref
refl
1161
ref
1882
remove
refl
156
ref
appThm
appThm
1392
ref
refl
1890
def
appThm
appThm
sym
158
ref
1434
ref
1383
ref
1881
remove
1101
ref
1102
remove
15
ref
168
ref
1103
remove
cons
opType
constTerm
1891
def
173
ref
28
ref
appTerm
29
ref
appTerm
1892
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
1893
def
1392
ref
appTerm
1894
def
betaConv
4
ref
1397
ref
1893
ref
appTerm
1895
def
absTerm
1896
def
29
ref
appTerm
1897
def
betaConv
11
ref
41
ref
1896
ref
appTerm
1898
def
absTerm
1899
def
28
ref
appTerm
1900
def
betaConv
1901
def
467
ref
887
ref
1165
ref
nil
1383
ref
1168
ref
cons
nil
cons
nil
cons
cons
1890
ref
subst
1902
def
appThm
1172
ref
trans
appThm
1903
def
1161
ref
1166
ref
appThm
1904
def
1902
ref
appThm
1172
remove
trans
1905
def
appThm
1065
ref
trans
appThm
1101
ref
1891
ref
175
ref
appTerm
appTerm
1906
def
1162
ref
appTerm
1907
def
refl
appThm
nil
84
ref
1907
ref
nil
cons
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
sym
1891
ref
refl
185
ref
appThm
"A"
165
ref
cons
nil
cons
1908
def
162
ref
cons
1909
def
1164
remove
subst
trans
eqMp
nil
49
ref
54
ref
60
ref
1163
remove
appTerm
1910
def
1101
ref
1151
ref
appTerm
1911
def
1162
ref
appTerm
1912
def
appTerm
appTerm
1907
remove
appTerm
1913
def
nil
cons
cons
50
ref
1397
ref
1383
ref
54
ref
54
ref
60
ref
1105
ref
1392
ref
appTerm
appTerm
1914
def
1911
ref
1392
ref
appTerm
1915
def
appTerm
appTerm
1906
ref
1392
ref
appTerm
appTerm
1916
def
appTerm
54
ref
60
ref
1105
remove
1393
ref
appTerm
appTerm
1917
def
1911
remove
1393
ref
appTerm
1918
def
appTerm
appTerm
1906
remove
1393
ref
appTerm
1919
def
appTerm
1920
def
appTerm
1921
def
absTerm
1922
def
appTerm
1923
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
1922
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
1921
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1916
ref
nil
cons
1924
def
cons
50
ref
1920
remove
nil
cons
1925
def
cons
nil
cons
cons
nil
cons
cons
1926
def
71
ref
subst
1926
remove
139
ref
subst
467
ref
887
ref
1165
remove
1393
ref
refl
1927
def
appThm
1534
ref
trans
appThm
1928
def
1904
remove
1927
ref
appThm
1534
remove
trans
1929
def
appThm
1753
ref
trans
appThm
1919
ref
refl
appThm
nil
84
ref
1919
remove
nil
cons
cons
nil
cons
nil
cons
cons
84
ref
53
ref
1304
remove
86
ref
appTerm
appTerm
76
remove
appTerm
absTerm
1930
def
86
remove
appTerm
1931
def
betaConv
nil
574
remove
1930
ref
appTerm
1932
def
axiom
nil
49
ref
1932
remove
nil
cons
cons
50
ref
1931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
586
remove
579
remove
1930
remove
nil
cons
cons
776
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1933
def
subst
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
1924
remove
cons
97
ref
1925
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
1913
remove
appTerm
1923
remove
appTerm
nil
cons
cons
50
ref
1397
ref
1383
ref
1916
remove
absTerm
1934
def
appTerm
1935
def
nil
cons
1936
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1934
ref
1162
ref
appTerm
betaConv
appThm
1397
ref
refl
1937
def
1383
ref
467
ref
1934
ref
1392
ref
appTerm
betaConv
1938
def
appThm
1934
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
1938
remove
absThm
appThm
appThm
nil
"p"
1098
ref
var
1939
def
1934
remove
nil
cons
cons
nil
cons
nil
cons
cons
1939
ref
54
ref
60
ref
1939
ref
varTerm
1940
def
1162
ref
appTerm
appTerm
1397
ref
1383
ref
54
ref
1940
ref
1392
ref
appTerm
1941
def
appTerm
1940
ref
1393
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
1397
ref
1383
ref
1941
remove
absTerm
appTerm
appTerm
absTerm
1942
def
1940
ref
appTerm
1943
def
betaConv
nil
38
ref
15
ref
1396
ref
22
ref
cons
opType
constTerm
1942
ref
appTerm
1944
def
axiom
nil
49
ref
1944
remove
nil
cons
cons
50
ref
1943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
"A"
1099
remove
cons
nil
cons
"P"
1396
ref
var
1942
remove
nil
cons
cons
"x"
1098
remove
var
1940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
1945
def
subst
eqMp
eqMp
nil
49
ref
1936
remove
cons
50
ref
206
ref
1315
ref
41
ref
1316
ref
54
ref
1397
ref
1383
ref
54
ref
1914
ref
1101
ref
1106
ref
1317
ref
appTerm
1946
def
appTerm
1392
ref
appTerm
1947
def
appTerm
appTerm
1101
ref
1891
ref
174
ref
1317
ref
appTerm
1948
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
1949
def
appTerm
1397
ref
1383
ref
54
ref
1914
ref
1101
ref
1106
ref
1318
ref
appTerm
1950
def
appTerm
1951
def
1392
ref
appTerm
1952
def
appTerm
appTerm
1101
ref
1891
ref
174
ref
1318
ref
appTerm
1953
def
appTerm
appTerm
1954
def
1392
ref
appTerm
appTerm
1955
def
absTerm
1956
def
appTerm
1957
def
appTerm
1958
def
absTerm
1959
def
appTerm
1960
def
absTerm
1961
def
appTerm
1962
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
265
ref
1961
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
1315
ref
nil
84
ref
1960
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
1959
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
1316
ref
nil
84
ref
1958
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1949
remove
nil
cons
1963
def
cons
50
ref
1957
remove
nil
cons
1964
def
cons
nil
cons
1965
def
cons
nil
cons
cons
1966
def
71
ref
subst
1966
remove
139
ref
subst
467
ref
1903
ref
1161
ref
1381
ref
appThm
1967
def
1902
ref
appThm
nil
1383
ref
1946
ref
nil
cons
1968
def
cons
nil
cons
nil
cons
cons
1489
ref
subst
trans
1969
def
appThm
1532
ref
trans
appThm
1954
ref
1162
ref
appTerm
1970
def
refl
appThm
nil
84
ref
1970
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
1910
ref
1951
ref
1162
ref
appTerm
1971
def
appTerm
appTerm
1970
remove
appTerm
1972
def
nil
cons
cons
50
ref
1397
ref
1383
ref
54
ref
1955
ref
appTerm
54
ref
1917
ref
1951
remove
1393
ref
appTerm
1973
def
appTerm
appTerm
1954
remove
1393
ref
appTerm
1974
def
appTerm
1975
def
appTerm
1976
def
absTerm
1977
def
appTerm
1978
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
1977
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
1976
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1955
remove
nil
cons
1979
def
cons
50
ref
1975
remove
nil
cons
1980
def
cons
nil
cons
cons
nil
cons
cons
1981
def
71
ref
subst
1981
remove
139
ref
subst
467
ref
1928
ref
1967
remove
1927
ref
appThm
1982
def
appThm
nil
84
ref
1101
ref
1368
ref
1946
ref
appTerm
appTerm
1393
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
981
ref
subst
trans
appThm
1974
ref
refl
appThm
nil
84
ref
1974
remove
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
1979
remove
cons
97
ref
1980
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
1972
remove
appTerm
1978
remove
appTerm
nil
cons
cons
1965
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1956
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
1956
ref
1392
ref
appTerm
betaConv
1983
def
appThm
1956
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
1983
remove
absThm
appThm
appThm
nil
1939
ref
1956
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
1963
remove
cons
97
ref
1964
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
1935
remove
appTerm
1962
remove
appTerm
nil
cons
cons
50
ref
41
ref
4
ref
1397
ref
1383
ref
54
ref
1914
ref
1880
ref
appTerm
appTerm
1101
ref
1891
ref
174
remove
29
ref
appTerm
1984
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1985
def
appTerm
1986
def
nil
cons
1987
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1985
ref
6
ref
appTerm
betaConv
appThm
536
ref
1315
ref
1217
ref
1316
ref
467
ref
1985
ref
1317
ref
appTerm
betaConv
appThm
1985
ref
1318
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1217
ref
4
ref
1985
ref
29
ref
appTerm
betaConv
absThm
appThm
appThm
nil
"p"
39
remove
var
1988
def
1985
remove
nil
cons
cons
nil
cons
nil
cons
cons
404
ref
1085
ref
subst
1989
def
subst
eqMp
eqMp
nil
49
ref
1987
remove
cons
50
ref
129
ref
346
ref
47
ref
345
ref
54
ref
41
ref
4
ref
1397
ref
1383
ref
54
ref
60
ref
1101
ref
1369
ref
appTerm
1990
def
1392
ref
appTerm
1991
def
appTerm
1992
def
1880
ref
appTerm
appTerm
1101
ref
1891
ref
173
ref
349
ref
appTerm
1993
def
29
ref
appTerm
1994
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
1995
def
appTerm
1996
def
absTerm
1997
def
appTerm
1998
def
appTerm
41
ref
4
ref
1397
ref
1383
ref
54
ref
60
ref
1366
ref
1392
ref
appTerm
appTerm
1999
def
1880
ref
appTerm
appTerm
1101
ref
1891
ref
173
ref
350
ref
appTerm
2000
def
29
ref
appTerm
2001
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2002
def
appTerm
2003
def
appTerm
2004
def
absTerm
2005
def
appTerm
2006
def
absTerm
2007
def
appTerm
2008
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
130
ref
2007
remove
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
346
ref
nil
84
ref
2006
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
2005
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
345
ref
nil
84
ref
2004
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
1998
remove
nil
cons
2009
def
cons
2010
def
50
ref
2003
remove
nil
cons
2011
def
cons
nil
cons
2012
def
cons
nil
cons
cons
2013
def
71
ref
subst
2013
remove
139
ref
subst
467
ref
887
ref
1161
ref
1377
ref
appThm
2014
def
1902
ref
appThm
nil
1383
ref
1369
ref
nil
cons
2015
def
cons
nil
cons
nil
cons
cons
1489
ref
subst
trans
appThm
2016
def
1905
ref
appThm
1060
remove
981
ref
subst
2017
def
trans
appThm
1101
ref
1891
ref
2000
ref
6
ref
appTerm
2018
def
appTerm
appTerm
2019
def
1162
ref
appTerm
2020
def
refl
appThm
nil
84
ref
2020
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
60
ref
1366
ref
1162
ref
appTerm
appTerm
2021
def
1912
ref
appTerm
appTerm
2020
remove
appTerm
2022
def
nil
cons
cons
50
ref
1397
ref
1383
ref
54
ref
54
ref
1999
ref
1915
ref
appTerm
appTerm
2019
ref
1392
ref
appTerm
appTerm
2023
def
appTerm
54
ref
60
ref
1366
remove
1393
ref
appTerm
appTerm
2024
def
1918
ref
appTerm
appTerm
2019
remove
1393
ref
appTerm
2025
def
appTerm
2026
def
appTerm
2027
def
absTerm
2028
def
appTerm
2029
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2028
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2027
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2023
ref
nil
cons
2030
def
cons
50
ref
2026
remove
nil
cons
2031
def
cons
nil
cons
cons
nil
cons
cons
2032
def
71
ref
subst
2032
remove
139
ref
subst
467
ref
887
ref
2014
remove
1927
ref
appThm
2033
def
appThm
2034
def
1929
ref
appThm
nil
84
ref
1101
ref
1370
remove
appTerm
1393
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
976
ref
subst
trans
appThm
2025
ref
refl
appThm
nil
84
ref
2025
remove
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2030
remove
cons
97
ref
2031
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2022
remove
appTerm
2029
remove
appTerm
nil
cons
cons
50
ref
1397
ref
1383
ref
2023
remove
absTerm
2035
def
appTerm
2036
def
nil
cons
2037
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2035
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2035
ref
1392
ref
appTerm
betaConv
2038
def
appThm
2035
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
2038
remove
absThm
appThm
appThm
nil
1939
ref
2035
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2037
remove
cons
50
ref
206
ref
1315
ref
41
ref
1316
ref
54
ref
1397
ref
1383
ref
54
ref
1999
ref
1947
ref
appTerm
appTerm
1101
ref
1891
ref
2000
ref
1317
ref
appTerm
2039
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
appTerm
2040
def
1397
ref
1383
ref
54
ref
1999
ref
1952
ref
appTerm
appTerm
1101
ref
1891
ref
2000
ref
1318
ref
appTerm
2041
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2042
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
265
ref
"h'"
1
ref
var
2043
def
41
ref
1316
ref
2040
remove
1397
ref
1383
ref
54
ref
1999
ref
1101
ref
1106
ref
232
remove
2043
ref
varTerm
2044
def
appTerm
2045
def
1317
ref
appTerm
2046
def
appTerm
appTerm
1392
ref
appTerm
2047
def
appTerm
appTerm
1101
ref
1891
ref
2000
ref
2046
ref
appTerm
2048
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
2049
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
2043
ref
nil
84
ref
2049
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
"t'"
3
ref
var
2050
def
54
ref
1397
ref
1383
ref
54
ref
1999
ref
1101
ref
1106
ref
2050
ref
varTerm
2051
def
appTerm
2052
def
appTerm
1392
ref
appTerm
2053
def
appTerm
appTerm
1101
ref
1891
ref
2000
ref
2051
ref
appTerm
2054
def
appTerm
appTerm
1392
ref
appTerm
appTerm
absTerm
appTerm
2055
def
appTerm
1397
ref
1383
ref
54
ref
1999
ref
1101
ref
1106
ref
2045
ref
2051
ref
appTerm
2056
def
appTerm
appTerm
2057
def
1392
ref
appTerm
2058
def
appTerm
appTerm
1101
ref
1891
ref
2000
ref
2056
ref
appTerm
2059
def
appTerm
appTerm
2060
def
1392
ref
appTerm
appTerm
2061
def
absTerm
2062
def
appTerm
2063
def
appTerm
2064
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
2050
ref
nil
84
ref
2064
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2055
remove
nil
cons
2065
def
cons
50
ref
2063
remove
nil
cons
2066
def
cons
nil
cons
2067
def
cons
nil
cons
cons
2068
def
71
ref
subst
2068
remove
139
ref
subst
467
ref
2016
ref
1161
ref
nil
1316
ref
2051
ref
nil
cons
2069
def
cons
1315
ref
2044
ref
nil
cons
2070
def
cons
nil
cons
cons
nil
cons
cons
2071
def
1381
ref
subst
appThm
2072
def
1902
remove
appThm
nil
1383
ref
2052
ref
nil
cons
2073
def
cons
nil
cons
nil
cons
cons
1489
remove
subst
trans
2074
def
appThm
1753
ref
trans
appThm
2060
ref
1162
ref
appTerm
2075
def
refl
appThm
nil
84
ref
2075
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
2021
ref
2057
ref
1162
ref
appTerm
2076
def
appTerm
appTerm
2075
remove
appTerm
2077
def
nil
cons
cons
50
ref
1397
ref
1383
ref
54
ref
2061
ref
appTerm
54
ref
2024
ref
2057
remove
1393
ref
appTerm
2078
def
appTerm
appTerm
2060
remove
1393
ref
appTerm
2079
def
appTerm
2080
def
appTerm
2081
def
absTerm
2082
def
appTerm
2083
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2082
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2081
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2061
remove
nil
cons
2084
def
cons
50
ref
2080
remove
nil
cons
2085
def
cons
nil
cons
cons
nil
cons
cons
2086
def
71
ref
subst
2086
remove
139
ref
subst
467
ref
2034
remove
2072
remove
1927
ref
appThm
2087
def
appThm
appThm
2079
ref
refl
2088
def
appThm
sym
467
ref
887
ref
nil
1387
ref
2015
remove
cons
nil
cons
nil
cons
cons
1405
ref
subst
2089
def
appThm
nil
1387
ref
2073
remove
cons
nil
cons
nil
cons
cons
1405
ref
subst
2090
def
appThm
appThm
2088
ref
appThm
sym
nil
49
ref
1992
ref
2053
ref
appTerm
2091
def
nil
cons
2092
def
cons
2093
def
50
ref
2079
remove
nil
cons
2094
def
cons
nil
cons
2095
def
cons
nil
cons
cons
2096
def
71
ref
subst
2096
remove
139
ref
subst
nil
95
ref
1991
ref
nil
cons
2097
def
cons
2098
def
97
ref
2053
ref
nil
cons
2099
def
cons
nil
cons
cons
nil
cons
cons
2100
def
111
ref
subst
2101
def
2100
remove
666
ref
subst
2102
def
915
ref
54
ref
1990
ref
1108
ref
appTerm
2103
def
appTerm
170
ref
2000
remove
2045
remove
1107
ref
appTerm
2104
def
appTerm
appTerm
1112
ref
172
ref
347
ref
appTerm
2105
def
2044
ref
appTerm
2106
def
appTerm
2107
def
1993
ref
1107
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2108
def
2051
ref
appTerm
2109
def
betaConv
890
ref
41
ref
915
ref
1118
ref
170
ref
173
ref
348
ref
894
ref
appTerm
appTerm
2110
def
2104
remove
appTerm
appTerm
2107
ref
1120
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2111
def
349
ref
appTerm
2112
def
betaConv
917
ref
47
ref
890
ref
41
ref
915
ref
1118
remove
170
ref
2110
remove
1125
ref
appTerm
appTerm
1112
ref
2105
remove
1123
remove
appTerm
appTerm
1120
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2113
def
2044
ref
appTerm
2114
def
betaConv
1140
remove
347
ref
appTerm
2115
def
betaConv
1146
remove
nil
1147
remove
50
ref
2115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
1148
remove
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
206
ref
2113
ref
appTerm
nil
cons
cons
50
ref
2114
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
ref
265
ref
2113
remove
nil
cons
cons
266
remove
2070
remove
cons
nil
cons
2116
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
47
ref
2111
ref
appTerm
nil
cons
cons
50
ref
2112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2111
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
2108
ref
appTerm
nil
cons
cons
50
ref
2109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
2108
remove
nil
cons
cons
154
ref
2069
ref
cons
nil
cons
2117
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2118
def
nil
49
ref
54
ref
1990
remove
2052
ref
appTerm
2119
def
appTerm
170
ref
2059
ref
appTerm
2107
ref
1993
remove
2051
ref
appTerm
2120
def
appTerm
2121
def
appTerm
2122
def
appTerm
2123
def
nil
cons
cons
2124
def
2095
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
467
ref
1161
ref
1991
ref
assume
2125
def
appThm
2126
def
2053
ref
assume
2127
def
appThm
nil
1404
ref
nil
cons
cons
1171
ref
subst
2128
def
trans
2129
def
appThm
2122
ref
refl
appThm
nil
84
ref
2122
ref
nil
cons
2130
def
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
appThm
2088
remove
appThm
sym
nil
49
ref
2130
ref
cons
2131
def
2095
remove
cons
nil
cons
cons
2132
def
71
ref
subst
2132
remove
139
ref
subst
53
ref
"_16704"
168
ref
var
2133
def
1101
ref
1891
ref
2133
remove
varTerm
appTerm
appTerm
1393
ref
appTerm
absTerm
2134
def
2059
ref
appTerm
2135
def
appTerm
refl
2134
ref
2121
ref
appTerm
betaConv
appThm
99
ref
2135
remove
betaConv
appThm
1101
ref
1891
ref
2121
ref
appTerm
appTerm
1393
ref
appTerm
refl
appThm
trans
2134
remove
refl
2122
ref
assume
2136
def
appThm
eqMp
sym
1161
ref
nil
"t"
168
ref
var
2137
def
2120
ref
nil
cons
2138
def
cons
"h"
164
ref
var
2139
def
2106
ref
nil
cons
2140
def
cons
nil
cons
cons
nil
cons
cons
2141
def
1909
ref
1377
remove
subst
subst
appThm
1927
remove
appThm
nil
1387
ref
1891
ref
2120
ref
appTerm
2142
def
nil
cons
cons
nil
cons
nil
cons
cons
1405
ref
subst
trans
sym
887
ref
2126
remove
1890
ref
appThm
2128
ref
trans
appThm
2143
def
1161
ref
2127
ref
appThm
1890
remove
appThm
2128
remove
trans
2144
def
appThm
1065
ref
trans
sym
89
ref
eqMp
2145
def
nil
2093
ref
50
ref
1101
ref
2142
ref
appTerm
1392
ref
appTerm
2146
def
nil
cons
2147
def
cons
2148
def
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
4
ref
2069
remove
cons
nil
cons
nil
cons
cons
2149
def
1995
ref
1392
ref
appTerm
2150
def
betaConv
1997
ref
29
ref
appTerm
2151
def
betaConv
nil
2010
ref
50
ref
2151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
152
ref
153
ref
1997
ref
nil
cons
cons
2152
def
155
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1996
remove
nil
cons
cons
50
ref
2150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
1995
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2130
ref
cons
2153
def
97
ref
2094
remove
cons
nil
cons
2154
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
95
ref
2092
remove
cons
2155
def
2154
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2084
remove
cons
97
ref
2085
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2077
remove
appTerm
2083
remove
appTerm
nil
cons
cons
2067
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2062
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2062
ref
1392
ref
appTerm
betaConv
2156
def
appThm
2062
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
2156
remove
absThm
appThm
appThm
nil
1939
ref
2062
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2065
remove
cons
97
ref
2066
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2036
remove
appTerm
2042
remove
appTerm
nil
cons
cons
2012
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2002
ref
6
ref
appTerm
betaConv
appThm
536
ref
1315
ref
1217
ref
1316
ref
467
ref
2002
ref
1317
ref
appTerm
betaConv
appThm
2002
ref
1318
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1217
ref
4
ref
2002
ref
29
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1988
ref
2002
remove
nil
cons
cons
nil
cons
nil
cons
cons
1989
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2009
remove
cons
97
ref
2011
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
1986
remove
appTerm
2008
remove
appTerm
nil
cons
cons
50
ref
47
ref
1899
ref
appTerm
2157
def
nil
cons
2158
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
1899
ref
12
ref
appTerm
betaConv
appThm
535
ref
346
ref
1216
ref
345
ref
467
ref
1899
ref
349
ref
appTerm
2159
def
betaConv
2160
def
appThm
1899
ref
350
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1216
ref
11
ref
1901
remove
absThm
appThm
appThm
nil
1078
ref
1899
remove
nil
cons
2161
def
cons
nil
cons
nil
cons
cons
1085
ref
subst
eqMp
eqMp
2162
def
nil
49
ref
2158
ref
cons
2163
def
50
ref
1900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2161
remove
cons
2164
def
126
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1898
remove
nil
cons
cons
50
ref
1897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
1896
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1895
remove
nil
cons
cons
50
ref
1894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
1893
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
47
ref
1888
remove
appTerm
thm
1819
remove
nil
1816
remove
thm
nil
183
ref
167
ref
2157
remove
absTerm
2165
def
nil
cons
cons
nil
cons
nil
cons
cons
1877
ref
subst
167
ref
nil
84
ref
2158
remove
cons
nil
cons
nil
cons
cons
90
ref
subst
2162
ref
eqMp
absThm
eqMp
nil
180
ref
2165
remove
appTerm
thm
1445
remove
nil
1446
remove
thm
nil
124
ref
"x1"
10
ref
var
2166
def
47
ref
"x2"
10
ref
var
2167
def
41
ref
"y1"
3
ref
var
2168
def
41
ref
"y2"
3
ref
var
2169
def
54
ref
60
ref
1101
ref
1104
ref
2166
ref
varTerm
2170
def
appTerm
appTerm
2171
def
1106
ref
2168
ref
varTerm
2172
def
appTerm
appTerm
appTerm
1101
ref
1104
ref
2167
ref
varTerm
2173
def
appTerm
appTerm
1106
ref
2169
ref
varTerm
2174
def
appTerm
2175
def
appTerm
2176
def
appTerm
appTerm
2177
def
24
remove
27
ref
"Data.List.@"
const
2178
def
15
ref
10
ref
226
remove
cons
opType
constTerm
2179
def
2170
ref
appTerm
2173
ref
appTerm
2180
def
appTerm
2178
ref
15
ref
3
ref
231
remove
cons
opType
constTerm
2181
def
2172
ref
appTerm
2174
ref
appTerm
2182
def
appTerm
appTerm
2178
ref
15
ref
20
ref
322
remove
cons
opType
constTerm
2183
def
27
ref
2170
ref
appTerm
2172
ref
appTerm
appTerm
27
remove
2173
ref
appTerm
2174
ref
appTerm
appTerm
appTerm
appTerm
2184
def
absTerm
2185
def
appTerm
2186
def
absTerm
2187
def
appTerm
2188
def
absTerm
2189
def
appTerm
2190
def
absTerm
2191
def
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
2166
ref
nil
84
ref
2190
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
2189
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
2167
ref
nil
84
ref
2188
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2187
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
2168
ref
nil
84
ref
2186
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2185
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
2169
ref
nil
84
ref
2184
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
2177
ref
refl
1096
remove
nil
4
ref
2182
ref
nil
cons
cons
11
ref
2180
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
2183
remove
refl
nil
4
ref
2172
ref
nil
cons
2192
def
cons
11
ref
2170
ref
nil
cons
2193
def
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
nil
4
ref
2174
ref
nil
cons
2194
def
cons
2195
def
11
ref
2173
ref
nil
cons
2196
def
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
appThm
appThm
appThm
sym
158
ref
1434
ref
2166
ref
2177
remove
170
ref
173
ref
2180
remove
appTerm
2197
def
2182
remove
appTerm
appTerm
2178
remove
15
ref
168
ref
1111
remove
cons
opType
constTerm
2198
def
173
ref
2170
ref
appTerm
2199
def
2172
ref
appTerm
appTerm
173
ref
2173
ref
appTerm
2174
ref
appTerm
2200
def
appTerm
appTerm
appTerm
2201
def
absTerm
2202
def
2170
ref
appTerm
2203
def
betaConv
2168
ref
47
ref
2202
ref
appTerm
2204
def
absTerm
2205
def
2172
remove
appTerm
2206
def
betaConv
2207
def
1216
ref
2166
ref
467
ref
887
ref
2171
ref
refl
2208
def
1166
remove
appThm
nil
1080
ref
2193
ref
cons
nil
cons
2209
def
nil
cons
cons
1080
ref
53
ref
1101
ref
1104
ref
1081
ref
appTerm
appTerm
2210
def
1162
ref
appTerm
appTerm
1232
remove
appTerm
absTerm
2211
def
1081
ref
appTerm
2212
def
betaConv
nil
47
ref
2211
ref
appTerm
2213
def
axiom
nil
49
ref
2213
remove
nil
cons
cons
50
ref
2212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2211
remove
nil
cons
cons
125
ref
1081
ref
nil
cons
cons
nil
cons
2214
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
trans
appThm
2176
ref
refl
2215
def
appThm
appThm
170
ref
2197
ref
2181
ref
6
ref
appTerm
2174
ref
appTerm
appTerm
appTerm
2198
ref
2199
ref
6
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
2216
def
refl
appThm
absThm
appThm
sym
nil
124
ref
2166
ref
54
ref
60
ref
830
ref
2170
ref
appTerm
2217
def
12
ref
appTerm
2218
def
appTerm
2176
ref
appTerm
2219
def
appTerm
2216
ref
appTerm
2220
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
2166
ref
nil
84
ref
2220
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2219
remove
nil
cons
2221
def
cons
50
ref
2216
ref
nil
cons
2222
def
cons
nil
cons
cons
nil
cons
cons
2223
def
71
ref
subst
2223
remove
139
ref
subst
nil
95
ref
2218
ref
nil
cons
cons
97
ref
2176
ref
nil
cons
cons
nil
cons
2224
def
cons
nil
cons
cons
111
ref
subst
170
ref
refl
2225
def
173
ref
refl
2226
def
2179
ref
refl
2218
remove
assume
2227
def
appThm
2173
ref
refl
appThm
nil
1080
ref
2196
ref
cons
2228
def
nil
cons
nil
cons
cons
1080
ref
830
ref
2179
ref
12
ref
appTerm
1081
ref
appTerm
appTerm
1081
ref
appTerm
absTerm
2229
def
1081
ref
appTerm
2230
def
betaConv
nil
47
ref
2229
ref
appTerm
2231
def
axiom
nil
49
ref
2231
remove
nil
cons
cons
50
ref
2230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2229
remove
nil
cons
cons
2214
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2232
def
subst
trans
appThm
nil
1313
remove
2194
remove
cons
2233
def
nil
cons
nil
cons
cons
404
ref
2232
ref
subst
subst
appThm
appThm
2198
ref
refl
2226
ref
2227
remove
appThm
6
ref
refl
appThm
185
remove
trans
appThm
2200
ref
refl
appThm
nil
"l"
168
ref
var
2200
ref
nil
cons
2234
def
cons
2235
def
nil
cons
nil
cons
cons
1909
ref
2232
remove
subst
subst
trans
appThm
nil
"x"
168
ref
var
2236
def
2234
remove
cons
nil
cons
nil
cons
cons
"A"
171
remove
cons
nil
cons
2237
def
162
remove
cons
303
ref
subst
subst
trans
sym
89
ref
eqMp
proveHyp
eqMp
nil
95
ref
2221
remove
cons
97
ref
2222
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
47
ref
2166
ref
54
ref
60
ref
2171
ref
1151
remove
appTerm
appTerm
2176
ref
appTerm
appTerm
2216
remove
appTerm
absTerm
appTerm
2238
def
nil
cons
cons
50
ref
206
ref
1315
ref
41
ref
1316
ref
54
ref
47
ref
2166
ref
54
ref
60
ref
2171
ref
1946
ref
appTerm
appTerm
2176
ref
appTerm
appTerm
170
ref
2197
ref
2181
ref
1317
ref
appTerm
2174
ref
appTerm
appTerm
appTerm
2198
ref
2199
ref
1317
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
2239
def
47
ref
2166
ref
54
ref
60
ref
2171
ref
1950
remove
appTerm
appTerm
2176
ref
appTerm
appTerm
170
ref
2197
ref
2181
ref
1318
ref
appTerm
2174
ref
appTerm
appTerm
appTerm
2198
ref
2199
ref
1318
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2240
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
265
ref
917
ref
41
ref
1316
ref
2239
remove
47
ref
2166
ref
54
ref
60
ref
2171
ref
1106
ref
1124
ref
1317
ref
appTerm
2241
def
appTerm
appTerm
appTerm
2176
ref
appTerm
appTerm
170
ref
2197
ref
2181
ref
2241
ref
appTerm
2174
ref
appTerm
appTerm
appTerm
2198
ref
2199
ref
2241
remove
appTerm
appTerm
2200
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
2242
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
917
remove
nil
84
ref
2242
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
915
ref
54
ref
47
ref
2166
ref
54
ref
60
ref
2171
ref
1108
ref
appTerm
appTerm
2176
ref
appTerm
appTerm
170
ref
2197
ref
2181
ref
1107
ref
appTerm
2174
ref
appTerm
2243
def
appTerm
appTerm
2198
ref
2199
ref
1107
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
appTerm
absTerm
2244
def
appTerm
2245
def
appTerm
47
ref
2166
ref
54
ref
60
ref
2171
remove
1106
ref
1125
ref
appTerm
appTerm
appTerm
2176
ref
appTerm
appTerm
170
ref
2197
remove
2181
remove
1125
ref
appTerm
2174
remove
appTerm
2246
def
appTerm
appTerm
2198
ref
2199
remove
1125
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
2247
def
appTerm
2248
def
absTerm
2249
def
appTerm
2250
def
appTerm
2251
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
915
ref
nil
84
ref
2251
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2245
remove
nil
cons
2252
def
cons
2253
def
50
ref
2250
remove
nil
cons
2254
def
cons
nil
cons
cons
nil
cons
cons
2255
def
71
ref
subst
2255
remove
139
ref
subst
nil
124
ref
2249
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
2166
ref
nil
84
ref
2248
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
467
ref
887
ref
2208
remove
nil
1316
ref
1443
ref
cons
1315
ref
1439
remove
cons
nil
cons
cons
2256
def
nil
cons
cons
1381
remove
subst
appThm
nil
1383
ref
1108
ref
nil
cons
2257
def
cons
2209
remove
cons
nil
cons
cons
1383
ref
53
ref
2210
remove
1393
ref
appTerm
appTerm
366
ref
346
ref
423
ref
345
ref
60
ref
1233
remove
appTerm
1991
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2258
def
1392
ref
appTerm
2259
def
betaConv
1080
ref
1397
ref
2258
ref
appTerm
2260
def
absTerm
2261
def
1081
ref
appTerm
2262
def
betaConv
nil
47
ref
2261
ref
appTerm
2263
def
axiom
nil
49
ref
2263
remove
nil
cons
cons
50
ref
2262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2261
remove
nil
cons
cons
2214
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2260
remove
nil
cons
cons
50
ref
2259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2258
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
trans
appThm
2215
remove
appThm
appThm
2247
ref
refl
appThm
sym
nil
49
ref
60
ref
366
remove
346
ref
423
ref
345
ref
60
ref
2217
ref
350
ref
appTerm
appTerm
2103
ref
appTerm
absTerm
appTerm
absTerm
2264
def
appTerm
2265
def
appTerm
2176
ref
appTerm
nil
cons
2266
def
cons
50
ref
2247
ref
nil
cons
2267
def
cons
nil
cons
2268
def
cons
nil
cons
cons
2269
def
71
ref
subst
2269
remove
139
ref
subst
nil
95
ref
2265
ref
nil
cons
2270
def
cons
2224
remove
cons
nil
cons
cons
2271
def
111
ref
subst
2271
remove
666
ref
subst
nil
49
ref
2270
remove
cons
2268
ref
cons
nil
cons
cons
120
ref
subst
nil
130
ref
891
ref
54
ref
2264
ref
892
remove
appTerm
2272
def
appTerm
2247
ref
appTerm
2273
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
891
remove
nil
84
ref
2273
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2272
ref
nil
cons
2274
def
cons
2268
ref
cons
nil
cons
cons
2275
def
71
ref
subst
2275
remove
139
ref
subst
2272
ref
betaConv
2272
remove
assume
eqMp
nil
49
ref
423
remove
345
ref
60
ref
2217
ref
893
ref
349
ref
appTerm
appTerm
appTerm
2103
remove
appTerm
absTerm
2276
def
appTerm
2277
def
nil
cons
cons
2268
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
124
ref
890
ref
54
ref
2276
ref
894
ref
appTerm
2278
def
appTerm
2247
ref
appTerm
2279
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
890
remove
nil
84
ref
2279
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2278
ref
nil
cons
2280
def
cons
2268
ref
cons
nil
cons
cons
2281
def
71
ref
subst
2281
remove
139
ref
subst
2278
ref
betaConv
2278
remove
assume
eqMp
nil
49
ref
60
ref
2217
remove
895
ref
appTerm
2282
def
appTerm
1117
ref
appTerm
nil
cons
2283
def
cons
2268
remove
cons
nil
cons
cons
2284
def
120
ref
subst
proveHyp
2284
ref
71
ref
subst
2284
remove
139
ref
subst
nil
95
ref
2282
ref
nil
cons
cons
97
ref
1117
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2285
def
111
ref
subst
2285
remove
666
ref
subst
53
ref
"_16720"
10
ref
var
2286
def
170
ref
173
ref
2179
ref
2286
remove
varTerm
2287
def
appTerm
2173
ref
appTerm
appTerm
2246
ref
appTerm
appTerm
2198
ref
173
ref
2287
remove
appTerm
1125
ref
appTerm
appTerm
2200
ref
appTerm
appTerm
absTerm
2288
def
2170
ref
appTerm
2289
def
appTerm
refl
2288
ref
895
ref
appTerm
betaConv
appThm
99
ref
2289
remove
betaConv
appThm
170
ref
173
ref
2179
ref
895
remove
appTerm
2173
ref
appTerm
appTerm
2246
remove
appTerm
appTerm
2290
def
2198
ref
1128
ref
appTerm
2200
ref
appTerm
appTerm
2291
def
refl
2292
def
appThm
trans
2288
remove
refl
2282
remove
assume
appThm
eqMp
sym
1444
remove
nil
49
ref
1133
remove
nil
cons
cons
50
ref
2291
remove
nil
cons
2293
def
cons
nil
cons
2294
def
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
467
ref
1161
ref
1117
ref
assume
2295
def
appThm
1108
ref
refl
appThm
nil
1167
ref
2257
remove
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
2296
def
appThm
1132
ref
refl
appThm
nil
84
ref
1132
ref
nil
cons
2297
def
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
appThm
2292
remove
appThm
sym
nil
49
ref
2297
ref
cons
2294
remove
cons
nil
cons
cons
2298
def
71
ref
subst
2298
remove
139
ref
subst
53
ref
"_16728"
168
ref
var
2299
def
2290
ref
2198
ref
2299
remove
varTerm
appTerm
2200
ref
appTerm
appTerm
absTerm
2300
def
1128
remove
appTerm
2301
def
appTerm
refl
2300
ref
1131
ref
appTerm
betaConv
appThm
99
ref
2301
remove
betaConv
appThm
2290
remove
2198
ref
1131
remove
appTerm
2200
ref
appTerm
appTerm
refl
appThm
trans
2300
remove
refl
1132
remove
assume
appThm
eqMp
sym
2225
remove
2226
remove
nil
2228
remove
345
ref
912
ref
cons
346
ref
910
remove
cons
nil
cons
cons
cons
nil
cons
cons
345
ref
830
remove
2179
ref
350
ref
appTerm
1081
ref
appTerm
appTerm
348
remove
2179
ref
349
ref
appTerm
1081
ref
appTerm
appTerm
appTerm
absTerm
2302
def
349
ref
appTerm
2303
def
betaConv
346
ref
47
ref
2302
ref
appTerm
2304
def
absTerm
2305
def
347
ref
appTerm
2306
def
betaConv
1080
remove
129
ref
2305
ref
appTerm
2307
def
absTerm
2308
def
1081
remove
appTerm
2309
def
betaConv
nil
47
ref
2308
ref
appTerm
2310
def
axiom
nil
49
ref
2310
remove
nil
cons
cons
50
ref
2309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2308
remove
nil
cons
cons
2214
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2307
remove
nil
cons
cons
50
ref
2306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
2305
remove
nil
cons
cons
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2304
remove
nil
cons
cons
50
ref
2303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2302
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2311
def
subst
appThm
nil
2233
remove
2256
remove
cons
nil
cons
cons
404
ref
2311
ref
subst
subst
appThm
appThm
nil
2235
remove
2137
ref
1120
ref
nil
cons
cons
2139
ref
1129
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1909
ref
2311
remove
subst
subst
appThm
sym
915
remove
54
ref
1101
ref
1104
ref
2179
ref
894
remove
appTerm
2173
remove
appTerm
2312
def
appTerm
appTerm
2313
def
1108
ref
appTerm
appTerm
170
ref
173
ref
893
remove
2312
ref
appTerm
appTerm
2314
def
1125
remove
appTerm
appTerm
1130
ref
173
remove
2312
ref
appTerm
2315
def
1107
remove
appTerm
appTerm
appTerm
appTerm
absTerm
2316
def
2243
ref
appTerm
2317
def
betaConv
1136
remove
2312
ref
appTerm
2318
def
betaConv
1440
remove
nil
1441
remove
50
ref
2318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
1442
remove
125
ref
2312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
2316
ref
appTerm
nil
cons
cons
50
ref
2317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
2316
remove
nil
cons
cons
154
ref
2243
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
54
ref
2313
remove
1106
remove
2243
ref
appTerm
appTerm
appTerm
170
ref
2314
remove
1124
remove
2243
ref
appTerm
appTerm
2319
def
appTerm
2320
def
1130
ref
2315
remove
2243
remove
appTerm
2321
def
appTerm
2322
def
appTerm
2323
def
appTerm
nil
cons
cons
50
ref
2320
remove
1130
ref
2198
remove
1120
remove
appTerm
2200
remove
appTerm
2324
def
appTerm
2325
def
appTerm
2326
def
nil
cons
2327
def
cons
nil
cons
2328
def
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
467
ref
1161
ref
nil
"l2"
10
ref
var
2329
def
2196
remove
cons
11
ref
912
ref
cons
nil
cons
cons
nil
cons
cons
2329
ref
1101
remove
1104
ref
2179
remove
28
ref
appTerm
2329
remove
varTerm
2330
def
appTerm
appTerm
appTerm
"Number.Natural.+"
const
15
ref
1097
ref
1367
remove
nil
cons
cons
opType
constTerm
2331
def
1878
remove
appTerm
1104
remove
2330
ref
appTerm
appTerm
appTerm
absTerm
2332
def
2330
ref
appTerm
2333
def
betaConv
11
ref
47
ref
2332
ref
appTerm
2334
def
absTerm
2335
def
28
ref
appTerm
2336
def
betaConv
nil
47
ref
2335
ref
appTerm
2337
def
axiom
nil
49
ref
2337
remove
nil
cons
cons
50
ref
2336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2335
remove
nil
cons
cons
126
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2334
remove
nil
cons
cons
50
ref
2333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2332
remove
nil
cons
cons
125
ref
2330
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2338
def
subst
2331
ref
refl
2295
remove
appThm
2176
ref
assume
2339
def
appThm
trans
appThm
nil
2195
remove
"l1"
3
ref
var
1443
remove
cons
nil
cons
cons
nil
cons
cons
404
ref
2338
remove
subst
subst
appThm
nil
1167
ref
2331
remove
1108
remove
appTerm
2175
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
appThm
2323
ref
refl
appThm
nil
84
ref
2323
ref
nil
cons
2340
def
cons
nil
cons
nil
cons
cons
1178
remove
subst
trans
appThm
2326
remove
refl
appThm
sym
nil
49
ref
2340
ref
cons
2328
remove
cons
nil
cons
cons
2341
def
71
ref
subst
2341
remove
139
ref
subst
53
ref
"_16730"
168
ref
var
2342
def
170
ref
2342
remove
varTerm
appTerm
2325
ref
appTerm
absTerm
2343
def
2319
remove
appTerm
2344
def
appTerm
refl
2343
ref
2322
ref
appTerm
betaConv
appThm
99
ref
2344
remove
betaConv
appThm
170
ref
2322
remove
appTerm
2325
remove
appTerm
refl
appThm
trans
2343
remove
refl
2323
remove
assume
appThm
eqMp
sym
1130
remove
refl
887
ref
2296
remove
appThm
1161
remove
2339
remove
appThm
2175
ref
refl
appThm
nil
1167
ref
2175
remove
nil
cons
cons
nil
cons
nil
cons
cons
1171
remove
subst
trans
appThm
1065
ref
trans
sym
89
ref
eqMp
nil
49
ref
60
ref
1117
remove
appTerm
2176
remove
appTerm
nil
cons
cons
50
ref
170
remove
2321
remove
appTerm
2324
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
2166
ref
912
remove
cons
nil
cons
nil
cons
cons
2244
ref
2170
remove
appTerm
2345
def
betaConv
nil
2253
remove
50
ref
2345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
123
ref
124
ref
2244
remove
nil
cons
cons
125
ref
2193
remove
cons
nil
cons
2346
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
eqMp
appThm
eqMp
eqMp
nil
95
ref
2340
remove
cons
97
ref
2327
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2297
remove
cons
97
ref
2293
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
95
ref
2283
remove
cons
97
ref
2267
remove
cons
nil
cons
2347
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
2280
remove
cons
2347
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
47
ref
125
remove
54
ref
2276
ref
1040
remove
appTerm
appTerm
2247
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
2277
remove
appTerm
2247
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2276
remove
nil
cons
cons
2347
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2274
remove
cons
2347
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
129
ref
134
ref
54
ref
2264
ref
135
remove
appTerm
appTerm
2247
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
2265
remove
appTerm
2247
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
2264
remove
nil
cons
cons
2347
ref
cons
nil
cons
cons
632
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
95
ref
2266
remove
cons
2347
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
95
ref
2252
remove
cons
97
ref
2254
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2238
remove
appTerm
2240
remove
appTerm
nil
cons
cons
50
ref
41
ref
2205
ref
appTerm
nil
cons
2348
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2205
ref
6
ref
appTerm
betaConv
appThm
536
ref
1315
ref
1217
ref
1316
ref
467
ref
2205
ref
1317
ref
appTerm
betaConv
appThm
2205
ref
1318
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1217
ref
2168
ref
2207
remove
absThm
appThm
appThm
nil
1988
ref
2205
remove
nil
cons
2349
def
cons
nil
cons
nil
cons
cons
1989
ref
subst
eqMp
eqMp
nil
49
ref
2348
remove
cons
50
ref
2206
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
2349
remove
cons
154
remove
2192
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2204
remove
nil
cons
cons
50
ref
2203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2202
remove
nil
cons
cons
2346
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2350
def
subst
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
47
ref
2191
remove
appTerm
thm
nil
124
ref
11
ref
41
ref
4
ref
1397
ref
1383
ref
1397
ref
"i"
1097
ref
var
2351
def
54
ref
1879
remove
60
ref
1880
remove
appTerm
"Number.Natural.<"
const
1100
remove
constTerm
2352
def
2351
ref
varTerm
2353
def
appTerm
2354
def
1392
ref
appTerm
2355
def
appTerm
2356
def
appTerm
appTerm
2357
def
369
ref
"Data.List.nth"
const
2358
def
15
ref
20
remove
15
ref
1097
ref
19
remove
cons
opType
nil
cons
cons
opType
constTerm
2359
def
30
remove
appTerm
2353
ref
appTerm
appTerm
34
remove
2358
ref
15
ref
10
remove
15
ref
1097
ref
9
remove
cons
opType
nil
cons
cons
opType
constTerm
2360
def
28
ref
appTerm
2353
ref
appTerm
2361
def
appTerm
2358
ref
15
ref
3
remove
15
ref
1097
ref
2
remove
cons
opType
nil
cons
cons
opType
constTerm
2362
def
29
ref
appTerm
2353
ref
appTerm
2363
def
appTerm
2364
def
appTerm
appTerm
2365
def
absTerm
2366
def
appTerm
2367
def
absTerm
2368
def
appTerm
2369
def
absTerm
2370
def
appTerm
2371
def
absTerm
2372
def
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
11
ref
nil
84
ref
2371
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2370
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
4
ref
nil
84
ref
2369
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1402
ref
2368
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2367
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
1402
ref
2366
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2365
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
2357
ref
refl
369
remove
refl
2359
remove
refl
156
remove
appThm
2353
ref
refl
appThm
appThm
2364
remove
refl
appThm
appThm
sym
158
remove
1434
remove
2351
ref
2357
remove
549
ref
2358
remove
15
ref
168
ref
15
ref
1097
ref
165
remove
cons
opType
nil
cons
cons
opType
constTerm
2373
def
1892
remove
appTerm
2353
ref
appTerm
appTerm
172
ref
2361
remove
appTerm
2363
ref
appTerm
appTerm
appTerm
absTerm
2374
def
2353
ref
appTerm
2375
def
betaConv
1383
ref
1397
ref
2374
ref
appTerm
2376
def
absTerm
2377
def
1392
ref
appTerm
2378
def
betaConv
4
ref
1397
ref
2377
ref
appTerm
2379
def
absTerm
2380
def
29
ref
appTerm
2381
def
betaConv
11
ref
41
ref
2380
ref
appTerm
2382
def
absTerm
2383
def
28
remove
appTerm
2384
def
betaConv
2385
def
467
ref
1903
ref
887
ref
1905
remove
appThm
2386
def
nil
1387
ref
1168
remove
cons
nil
cons
nil
cons
cons
1387
ref
989
remove
2352
ref
1390
ref
appTerm
2387
def
1162
ref
appTerm
2388
def
appTerm
2389
def
absTerm
2390
def
1390
ref
appTerm
2391
def
betaConv
nil
1397
ref
2390
ref
appTerm
2392
def
axiom
nil
49
ref
2392
remove
nil
cons
cons
50
ref
2391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2390
remove
nil
cons
cons
1403
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2389
remove
nil
cons
cons
50
ref
53
ref
2388
ref
appTerm
923
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
95
ref
2388
remove
nil
cons
cons
nil
cons
nil
cons
cons
1309
remove
subst
eqMp
2393
def
subst
2394
def
appThm
1532
ref
trans
2395
def
appThm
1532
ref
trans
appThm
549
ref
2373
ref
175
remove
appTerm
2396
def
1162
ref
appTerm
appTerm
172
ref
2360
ref
12
ref
appTerm
2397
def
1162
ref
appTerm
appTerm
2398
def
2362
ref
6
ref
appTerm
2399
def
1162
ref
appTerm
2400
def
appTerm
appTerm
2401
def
refl
2402
def
appThm
nil
84
ref
2401
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2403
def
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
1910
ref
60
ref
1912
remove
appTerm
2404
def
2352
ref
1162
ref
appTerm
2405
def
1162
ref
appTerm
2406
def
appTerm
2407
def
appTerm
appTerm
2401
ref
appTerm
2408
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
54
ref
1910
ref
2404
ref
2354
ref
1162
ref
appTerm
2409
def
appTerm
2410
def
appTerm
appTerm
549
ref
2396
ref
2353
ref
appTerm
appTerm
172
ref
2397
ref
2353
ref
appTerm
appTerm
2411
def
2399
ref
2353
ref
appTerm
2412
def
appTerm
appTerm
2413
def
appTerm
2414
def
appTerm
54
ref
1910
ref
2404
remove
2352
ref
1368
remove
2353
ref
appTerm
2415
def
appTerm
2416
def
1162
ref
appTerm
2417
def
appTerm
2418
def
appTerm
appTerm
549
ref
2396
remove
2415
ref
appTerm
appTerm
172
ref
2397
remove
2415
ref
appTerm
appTerm
2419
def
2399
remove
2415
ref
appTerm
2420
def
appTerm
appTerm
2421
def
appTerm
2422
def
appTerm
2423
def
absTerm
2424
def
appTerm
2425
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2424
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2423
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2414
ref
nil
cons
2426
def
cons
50
ref
2422
remove
nil
cons
2427
def
cons
nil
cons
cons
nil
cons
cons
2428
def
71
ref
subst
2428
remove
139
ref
subst
467
ref
1903
ref
2386
remove
nil
1387
ref
2415
ref
nil
cons
cons
nil
cons
nil
cons
cons
2393
remove
subst
2429
def
appThm
1532
ref
trans
2430
def
appThm
1532
ref
trans
appThm
2421
ref
refl
2431
def
appThm
nil
84
ref
2421
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2432
def
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2426
remove
cons
97
ref
2427
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2408
remove
appTerm
2425
remove
appTerm
nil
cons
cons
50
ref
1397
ref
2351
ref
2414
remove
absTerm
2433
def
appTerm
2434
def
nil
cons
2435
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2433
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2433
ref
2353
ref
appTerm
betaConv
2436
def
appThm
2433
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2436
remove
absThm
appThm
appThm
nil
1939
ref
2433
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2435
remove
cons
50
ref
1397
ref
1383
ref
54
ref
1397
ref
2351
ref
54
ref
1914
ref
60
ref
1915
remove
appTerm
2355
ref
appTerm
2437
def
appTerm
appTerm
2413
ref
appTerm
absTerm
appTerm
2438
def
appTerm
1397
ref
2351
ref
54
ref
1917
ref
60
ref
1918
remove
appTerm
2439
def
2354
ref
1393
ref
appTerm
2440
def
appTerm
2441
def
appTerm
appTerm
2413
remove
appTerm
2442
def
absTerm
2443
def
appTerm
2444
def
appTerm
2445
def
absTerm
2446
def
appTerm
2447
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2446
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2445
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2438
ref
nil
cons
2448
def
cons
50
ref
2444
remove
nil
cons
2449
def
cons
nil
cons
2450
def
cons
nil
cons
cons
2451
def
71
ref
subst
2451
remove
139
ref
subst
467
ref
1928
ref
887
ref
1929
remove
appThm
2452
def
nil
84
ref
2405
remove
1393
ref
appTerm
2453
def
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
1383
ref
2453
ref
absTerm
2454
def
1392
ref
appTerm
2455
def
betaConv
nil
1397
ref
2454
ref
appTerm
2456
def
axiom
nil
49
ref
2456
remove
nil
cons
cons
50
ref
2455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2454
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
2457
def
appThm
2017
remove
trans
2458
def
appThm
1753
ref
trans
appThm
2402
remove
appThm
2403
remove
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
1917
ref
2439
ref
2453
ref
appTerm
2459
def
appTerm
appTerm
2401
remove
appTerm
2460
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
2442
ref
appTerm
54
ref
1917
ref
2439
remove
2416
remove
1393
ref
appTerm
2461
def
appTerm
2462
def
appTerm
appTerm
2421
remove
appTerm
2463
def
appTerm
2464
def
absTerm
2465
def
appTerm
2466
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2465
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2464
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2442
remove
nil
cons
2467
def
cons
50
ref
2463
remove
nil
cons
2468
def
cons
nil
cons
cons
nil
cons
cons
2469
def
71
ref
subst
2469
remove
139
ref
subst
467
ref
1928
ref
2452
remove
nil
1387
ref
2353
ref
nil
cons
2470
def
cons
nil
cons
nil
cons
cons
1383
ref
53
ref
2352
ref
1391
remove
appTerm
1393
ref
appTerm
appTerm
2387
remove
1392
ref
appTerm
appTerm
absTerm
2471
def
1392
ref
appTerm
2472
def
betaConv
1387
ref
1397
ref
2471
ref
appTerm
2473
def
absTerm
2474
def
1390
remove
appTerm
2475
def
betaConv
nil
1397
ref
2474
ref
appTerm
2476
def
axiom
nil
49
ref
2476
remove
nil
cons
cons
50
ref
2475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2474
remove
nil
cons
cons
1403
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2473
remove
nil
cons
cons
50
ref
2472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2471
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
subst
2477
def
appThm
nil
84
ref
2355
ref
nil
cons
2478
def
cons
nil
cons
nil
cons
cons
2479
def
981
ref
subst
trans
2480
def
appThm
1753
ref
trans
appThm
2431
remove
appThm
2432
remove
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2467
remove
cons
97
ref
2468
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2460
remove
appTerm
2466
remove
appTerm
nil
cons
cons
2450
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2443
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2443
ref
2353
ref
appTerm
betaConv
2481
def
appThm
2443
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2481
remove
absThm
appThm
appThm
nil
1939
ref
2443
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2448
remove
cons
97
ref
2449
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2434
remove
appTerm
2447
remove
appTerm
nil
cons
cons
50
ref
1397
ref
1383
ref
2438
remove
absTerm
2482
def
appTerm
2483
def
nil
cons
2484
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2482
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2482
ref
1392
ref
appTerm
betaConv
2485
def
appThm
2482
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
2485
remove
absThm
appThm
appThm
nil
1939
ref
2482
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2484
remove
cons
50
ref
206
ref
1315
ref
41
ref
1316
ref
54
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1914
ref
60
ref
1947
ref
appTerm
2355
ref
appTerm
2486
def
appTerm
appTerm
549
ref
2373
ref
1948
remove
appTerm
2353
ref
appTerm
appTerm
2411
ref
2362
ref
1317
ref
appTerm
2487
def
2353
ref
appTerm
2488
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2489
def
appTerm
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1914
ref
60
ref
1952
remove
appTerm
2355
ref
appTerm
2490
def
appTerm
appTerm
549
ref
2373
ref
1953
remove
appTerm
2491
def
2353
ref
appTerm
appTerm
2411
ref
2362
ref
1318
ref
appTerm
2492
def
2353
ref
appTerm
2493
def
appTerm
appTerm
2494
def
appTerm
absTerm
appTerm
2495
def
absTerm
2496
def
appTerm
2497
def
appTerm
2498
def
absTerm
2499
def
appTerm
2500
def
absTerm
2501
def
appTerm
2502
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
265
ref
2501
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
1315
ref
nil
84
ref
2500
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2499
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
1316
ref
nil
84
ref
2498
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2489
remove
nil
cons
2503
def
cons
50
ref
2497
remove
nil
cons
2504
def
cons
nil
cons
2505
def
cons
nil
cons
cons
2506
def
71
ref
subst
2506
remove
139
ref
subst
467
ref
1903
ref
887
ref
1969
remove
appThm
2507
def
2394
ref
appThm
1753
ref
trans
appThm
1532
ref
trans
appThm
549
ref
2491
ref
1162
ref
appTerm
appTerm
2398
remove
2492
ref
1162
ref
appTerm
appTerm
appTerm
2508
def
refl
2509
def
appThm
nil
84
ref
2508
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2510
def
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
1910
ref
60
ref
1971
remove
appTerm
2511
def
2406
ref
appTerm
appTerm
appTerm
2508
ref
appTerm
2512
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
54
ref
1910
ref
2511
ref
2409
ref
appTerm
appTerm
appTerm
2494
ref
appTerm
2513
def
appTerm
54
ref
1910
remove
2511
remove
2417
ref
appTerm
appTerm
appTerm
549
ref
2491
remove
2415
ref
appTerm
appTerm
2419
remove
2492
ref
2415
ref
appTerm
appTerm
appTerm
2514
def
appTerm
2515
def
appTerm
2516
def
absTerm
2517
def
appTerm
2518
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2517
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2516
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2513
ref
nil
cons
2519
def
cons
50
ref
2515
remove
nil
cons
2520
def
cons
nil
cons
cons
nil
cons
cons
2521
def
71
ref
subst
2521
remove
139
ref
subst
467
ref
1903
remove
2507
remove
2429
ref
appThm
1753
ref
trans
appThm
1532
remove
trans
appThm
2514
ref
refl
2522
def
appThm
nil
84
ref
2514
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2523
def
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2519
remove
cons
97
ref
2520
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2512
remove
appTerm
2518
remove
appTerm
nil
cons
cons
50
ref
1397
ref
2351
ref
2513
remove
absTerm
2524
def
appTerm
2525
def
nil
cons
2526
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2524
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2524
ref
2353
ref
appTerm
betaConv
2527
def
appThm
2524
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2527
remove
absThm
appThm
appThm
nil
1939
ref
2524
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2526
remove
cons
50
ref
1397
ref
1383
ref
54
ref
2495
ref
appTerm
1397
ref
2351
ref
54
ref
1917
ref
60
ref
1973
remove
appTerm
2528
def
2440
ref
appTerm
appTerm
appTerm
2494
remove
appTerm
2529
def
absTerm
2530
def
appTerm
2531
def
appTerm
2532
def
absTerm
2533
def
appTerm
2534
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2533
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2532
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2495
remove
nil
cons
2535
def
cons
50
ref
2531
remove
nil
cons
2536
def
cons
nil
cons
2537
def
cons
nil
cons
cons
2538
def
71
ref
subst
2538
remove
139
ref
subst
467
ref
1928
ref
887
ref
1982
remove
nil
1387
remove
1968
remove
cons
nil
cons
nil
cons
cons
1405
remove
subst
trans
appThm
2539
def
2457
ref
appThm
nil
84
ref
1947
remove
nil
cons
cons
nil
cons
nil
cons
cons
2540
def
1008
ref
subst
trans
appThm
2540
remove
981
ref
subst
trans
appThm
2509
remove
appThm
2510
remove
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
1917
ref
2528
ref
2453
ref
appTerm
appTerm
appTerm
2508
remove
appTerm
2541
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
2529
ref
appTerm
54
ref
1917
remove
2528
remove
2461
ref
appTerm
appTerm
appTerm
2514
remove
appTerm
2542
def
appTerm
2543
def
absTerm
2544
def
appTerm
2545
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2544
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2543
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2529
remove
nil
cons
2546
def
cons
50
ref
2542
remove
nil
cons
2547
def
cons
nil
cons
cons
nil
cons
cons
2548
def
71
ref
subst
2548
remove
139
ref
subst
467
ref
1928
remove
2539
remove
2477
ref
appThm
appThm
nil
84
ref
2486
ref
nil
cons
cons
nil
cons
nil
cons
cons
981
remove
subst
trans
appThm
2522
remove
appThm
2523
remove
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2546
remove
cons
97
ref
2547
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2541
remove
appTerm
2545
remove
appTerm
nil
cons
cons
2537
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2530
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2530
ref
2353
ref
appTerm
betaConv
2549
def
appThm
2530
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2549
remove
absThm
appThm
appThm
nil
1939
ref
2530
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2535
remove
cons
97
ref
2536
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2525
remove
appTerm
2534
remove
appTerm
nil
cons
cons
2505
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2496
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2496
ref
1392
ref
appTerm
betaConv
2550
def
appThm
2496
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
2550
remove
absThm
appThm
appThm
nil
1939
ref
2496
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2503
remove
cons
97
ref
2504
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2483
remove
appTerm
2502
remove
appTerm
nil
cons
cons
50
ref
41
ref
4
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1914
remove
2356
ref
appTerm
appTerm
549
ref
2373
ref
1984
remove
appTerm
2353
ref
appTerm
appTerm
2411
remove
2363
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2551
def
appTerm
2552
def
nil
cons
2553
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2551
ref
6
ref
appTerm
betaConv
appThm
536
ref
1315
ref
1217
ref
1316
ref
467
ref
2551
ref
1317
ref
appTerm
betaConv
appThm
2551
ref
1318
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1217
ref
4
ref
2551
ref
29
ref
appTerm
betaConv
absThm
appThm
appThm
nil
1988
ref
2551
remove
nil
cons
cons
nil
cons
nil
cons
cons
1989
ref
subst
eqMp
eqMp
nil
49
ref
2553
remove
cons
50
ref
129
ref
346
ref
47
ref
345
ref
54
ref
41
ref
4
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1992
ref
2356
ref
appTerm
2554
def
appTerm
549
ref
2373
ref
1994
remove
appTerm
2353
ref
appTerm
appTerm
172
ref
2360
ref
349
ref
appTerm
2555
def
2353
ref
appTerm
2556
def
appTerm
2557
def
2363
ref
appTerm
appTerm
2558
def
appTerm
absTerm
2559
def
appTerm
2560
def
absTerm
2561
def
appTerm
2562
def
absTerm
2563
def
appTerm
2564
def
appTerm
2565
def
41
ref
4
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
ref
2356
remove
appTerm
appTerm
549
ref
2373
ref
2001
remove
appTerm
2353
ref
appTerm
appTerm
172
ref
2360
remove
350
ref
appTerm
2566
def
2353
ref
appTerm
appTerm
2567
def
2363
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2568
def
appTerm
2569
def
appTerm
2570
def
absTerm
2571
def
appTerm
2572
def
absTerm
2573
def
appTerm
2574
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
130
ref
2573
remove
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
subst
346
ref
nil
84
ref
2572
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
2571
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
345
ref
nil
84
ref
2570
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2564
remove
nil
cons
2575
def
cons
2576
def
50
ref
2569
remove
nil
cons
2577
def
cons
nil
cons
2578
def
cons
nil
cons
cons
2579
def
71
ref
subst
2579
remove
139
ref
subst
467
ref
2016
ref
2395
remove
appThm
1753
ref
trans
appThm
549
ref
2373
ref
2018
remove
appTerm
2580
def
1162
ref
appTerm
appTerm
172
ref
2566
ref
1162
ref
appTerm
2581
def
appTerm
2582
def
2400
remove
appTerm
appTerm
2583
def
refl
2584
def
appThm
nil
84
ref
2583
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2585
def
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
2021
ref
2407
remove
appTerm
appTerm
2583
ref
appTerm
2586
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
54
ref
2021
ref
2410
remove
appTerm
appTerm
549
ref
2580
ref
2353
ref
appTerm
appTerm
2567
ref
2412
remove
appTerm
appTerm
2587
def
appTerm
2588
def
appTerm
54
ref
2021
ref
2418
remove
appTerm
appTerm
549
ref
2580
remove
2415
ref
appTerm
appTerm
172
ref
2566
ref
2415
ref
appTerm
2589
def
appTerm
2590
def
2420
remove
appTerm
appTerm
2591
def
appTerm
2592
def
appTerm
2593
def
absTerm
2594
def
appTerm
2595
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2594
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2593
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2588
ref
nil
cons
2596
def
cons
50
ref
2592
remove
nil
cons
2597
def
cons
nil
cons
cons
nil
cons
cons
2598
def
71
ref
subst
2598
remove
139
ref
subst
467
ref
2016
ref
2430
remove
appThm
1753
ref
trans
appThm
2591
ref
refl
2599
def
appThm
nil
84
ref
2591
ref
nil
cons
cons
nil
cons
nil
cons
cons
1933
ref
subst
2600
def
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2596
remove
cons
97
ref
2597
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2586
remove
appTerm
2595
remove
appTerm
nil
cons
cons
50
ref
1397
ref
2351
ref
2588
remove
absTerm
2601
def
appTerm
2602
def
nil
cons
2603
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2601
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2601
ref
2353
ref
appTerm
betaConv
2604
def
appThm
2601
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2604
remove
absThm
appThm
appThm
nil
1939
ref
2601
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2603
remove
cons
50
ref
1397
ref
1383
ref
54
ref
1397
ref
2351
ref
54
ref
1999
ref
2437
remove
appTerm
appTerm
2587
ref
appTerm
absTerm
appTerm
2605
def
appTerm
1397
ref
2351
ref
54
ref
2024
ref
2441
remove
appTerm
appTerm
2587
remove
appTerm
2606
def
absTerm
2607
def
appTerm
2608
def
appTerm
2609
def
absTerm
2610
def
appTerm
2611
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2610
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2609
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2605
ref
nil
cons
2612
def
cons
50
ref
2608
remove
nil
cons
2613
def
cons
nil
cons
2614
def
cons
nil
cons
cons
2615
def
71
ref
subst
2615
remove
139
ref
subst
467
ref
887
ref
2033
remove
2089
remove
trans
appThm
2616
def
2458
remove
appThm
nil
84
ref
2097
remove
cons
nil
cons
nil
cons
cons
976
remove
subst
2617
def
trans
appThm
2584
remove
appThm
2585
remove
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
2024
ref
2459
remove
appTerm
appTerm
2583
remove
appTerm
2618
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
2606
ref
appTerm
54
ref
2024
ref
2462
remove
appTerm
appTerm
2591
remove
appTerm
2619
def
appTerm
2620
def
absTerm
2621
def
appTerm
2622
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2621
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2620
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2606
remove
nil
cons
2623
def
cons
50
ref
2619
remove
nil
cons
2624
def
cons
nil
cons
cons
nil
cons
cons
2625
def
71
ref
subst
2625
remove
139
ref
subst
467
ref
2616
ref
2480
remove
appThm
2617
remove
trans
appThm
2599
remove
appThm
2600
remove
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2623
remove
cons
97
ref
2624
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2618
remove
appTerm
2622
remove
appTerm
nil
cons
cons
2614
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2607
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2607
ref
2353
ref
appTerm
betaConv
2626
def
appThm
2607
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2626
remove
absThm
appThm
appThm
nil
1939
ref
2607
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2612
remove
cons
97
ref
2613
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2602
remove
appTerm
2611
remove
appTerm
nil
cons
cons
50
ref
1397
ref
1383
ref
2605
remove
absTerm
2627
def
appTerm
2628
def
nil
cons
2629
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2627
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2627
ref
1392
ref
appTerm
betaConv
2630
def
appThm
2627
ref
1393
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
1383
ref
2630
remove
absThm
appThm
appThm
nil
1939
ref
2627
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2629
remove
cons
50
ref
206
ref
1315
ref
41
ref
1316
ref
54
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
ref
2486
remove
appTerm
appTerm
549
ref
2373
ref
2039
remove
appTerm
2353
ref
appTerm
appTerm
2567
ref
2488
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2631
def
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
ref
2490
remove
appTerm
appTerm
549
ref
2373
ref
2041
remove
appTerm
2353
ref
appTerm
appTerm
2567
ref
2493
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2632
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
265
ref
2043
ref
41
ref
1316
ref
2631
remove
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
ref
60
ref
2047
remove
appTerm
2355
ref
appTerm
appTerm
appTerm
549
ref
2373
ref
2048
remove
appTerm
2353
ref
appTerm
appTerm
2567
ref
2362
ref
2046
remove
appTerm
2633
def
2353
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
2634
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
405
ref
subst
2043
remove
nil
84
ref
2634
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2050
ref
54
ref
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
ref
60
ref
2053
remove
appTerm
2355
ref
appTerm
2635
def
appTerm
appTerm
549
ref
2373
ref
2054
remove
appTerm
2353
ref
appTerm
appTerm
2567
ref
2362
ref
2051
ref
appTerm
2636
def
2353
ref
appTerm
2637
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2638
def
appTerm
1397
ref
1383
ref
1397
ref
2351
ref
54
ref
1999
remove
60
ref
2058
remove
appTerm
2355
ref
appTerm
appTerm
appTerm
549
ref
2373
ref
2059
ref
appTerm
2639
def
2353
ref
appTerm
appTerm
2567
remove
2362
remove
2056
remove
appTerm
2640
def
2353
ref
appTerm
appTerm
appTerm
2641
def
appTerm
absTerm
appTerm
2642
def
absTerm
2643
def
appTerm
2644
def
appTerm
2645
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
2050
remove
nil
84
ref
2645
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2638
remove
nil
cons
2646
def
cons
50
ref
2644
remove
nil
cons
2647
def
cons
nil
cons
2648
def
cons
nil
cons
cons
2649
def
71
ref
subst
2649
remove
139
ref
subst
467
ref
2016
ref
887
ref
2074
remove
appThm
2650
def
2394
remove
appThm
1753
ref
trans
appThm
1753
ref
trans
appThm
549
ref
2639
ref
1162
ref
appTerm
appTerm
2582
remove
2640
ref
1162
ref
appTerm
appTerm
2651
def
appTerm
2652
def
refl
2653
def
appThm
nil
84
ref
2652
ref
nil
cons
2654
def
cons
nil
cons
nil
cons
cons
1933
ref
subst
trans
sym
89
ref
eqMp
nil
49
ref
54
ref
2021
ref
60
ref
2076
remove
appTerm
2655
def
2406
remove
appTerm
appTerm
appTerm
2652
ref
appTerm
2656
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
54
ref
2021
ref
2655
ref
2409
remove
appTerm
appTerm
appTerm
2641
ref
appTerm
2657
def
appTerm
54
ref
2021
remove
2655
remove
2417
remove
appTerm
appTerm
appTerm
549
ref
2639
remove
2415
ref
appTerm
appTerm
2590
remove
2640
ref
2415
ref
appTerm
2658
def
appTerm
2659
def
appTerm
2660
def
appTerm
2661
def
appTerm
2662
def
absTerm
2663
def
appTerm
2664
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2663
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2662
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2657
ref
nil
cons
2665
def
cons
50
ref
2661
remove
nil
cons
2666
def
cons
nil
cons
cons
nil
cons
cons
2667
def
71
ref
subst
2667
remove
139
ref
subst
467
ref
2016
remove
2650
remove
2429
remove
appThm
1753
ref
trans
appThm
1753
remove
trans
appThm
2660
ref
refl
2668
def
appThm
nil
84
ref
2660
ref
nil
cons
2669
def
cons
nil
cons
nil
cons
cons
1933
remove
subst
trans
sym
89
ref
eqMp
eqMp
nil
95
ref
2665
remove
cons
97
ref
2666
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2656
remove
appTerm
2664
remove
appTerm
nil
cons
cons
50
ref
1397
ref
2351
ref
2657
remove
absTerm
2670
def
appTerm
2671
def
nil
cons
2672
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2670
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2670
ref
2353
ref
appTerm
betaConv
2673
def
appThm
2670
ref
2415
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
ref
2673
remove
absThm
appThm
appThm
nil
1939
ref
2670
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
nil
49
ref
2672
remove
cons
50
ref
1397
ref
1383
ref
54
ref
2642
ref
appTerm
1397
ref
2351
ref
54
ref
2024
ref
60
ref
2078
remove
appTerm
2674
def
2440
remove
appTerm
appTerm
appTerm
2641
remove
appTerm
2675
def
absTerm
2676
def
appTerm
2677
def
appTerm
2678
def
absTerm
2679
def
appTerm
2680
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2679
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
1383
ref
nil
84
ref
2678
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2642
remove
nil
cons
2681
def
cons
50
ref
2677
remove
nil
cons
2682
def
cons
nil
cons
2683
def
cons
nil
cons
cons
2684
def
71
ref
subst
2684
remove
139
ref
subst
467
ref
2616
ref
887
ref
2087
remove
2090
remove
trans
appThm
2685
def
2457
remove
appThm
nil
84
ref
2099
ref
cons
nil
cons
nil
cons
cons
1008
remove
subst
trans
appThm
appThm
2653
remove
appThm
sym
nil
2093
ref
50
ref
2654
ref
cons
nil
cons
2686
def
cons
nil
cons
cons
2687
def
71
ref
subst
2687
remove
139
ref
subst
2101
remove
2102
remove
2118
ref
nil
2124
ref
2686
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
2129
remove
sym
89
ref
eqMp
2688
def
nil
49
ref
2119
ref
nil
cons
cons
2689
def
50
ref
54
ref
2122
remove
appTerm
2690
def
2652
ref
appTerm
2691
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
2131
ref
2686
remove
cons
nil
cons
cons
2692
def
71
ref
subst
2692
remove
139
ref
subst
53
ref
"_16706"
168
ref
var
2693
def
549
ref
2373
ref
2693
remove
varTerm
appTerm
1162
ref
appTerm
appTerm
2651
ref
appTerm
absTerm
2694
def
2059
ref
appTerm
2695
def
appTerm
refl
2694
ref
2121
ref
appTerm
betaConv
appThm
99
ref
2695
remove
betaConv
appThm
549
ref
2373
ref
2121
ref
appTerm
2696
def
1162
ref
appTerm
appTerm
2651
remove
appTerm
refl
appThm
trans
2694
remove
refl
2136
ref
appThm
eqMp
sym
549
ref
refl
2141
remove
1909
ref
345
ref
301
ref
2581
remove
appTerm
347
ref
appTerm
absTerm
2697
def
349
ref
appTerm
2698
def
betaConv
346
ref
47
ref
2697
ref
appTerm
2699
def
absTerm
2700
def
347
ref
appTerm
2701
def
betaConv
nil
129
ref
2700
ref
appTerm
2702
def
axiom
nil
49
ref
2702
remove
nil
cons
cons
50
ref
2701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
ref
130
ref
2700
remove
nil
cons
cons
361
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2699
remove
nil
cons
cons
50
ref
2698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2697
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
2703
def
subst
subst
appThm
172
ref
refl
2703
ref
appThm
2071
remove
404
ref
2703
remove
subst
subst
appThm
appThm
nil
"x"
164
ref
var
2140
remove
cons
nil
cons
2704
def
nil
cons
cons
1909
ref
303
remove
subst
subst
trans
sym
89
ref
eqMp
eqMp
eqMp
nil
2153
ref
97
ref
2654
ref
cons
nil
cons
2705
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
60
ref
2119
remove
appTerm
2706
def
2691
remove
appTerm
nil
cons
cons
50
ref
54
ref
2123
remove
appTerm
2707
def
2652
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
ref
2654
remove
cons
50
ref
2130
remove
cons
2689
ref
nil
cons
cons
2708
def
cons
nil
cons
cons
nil
49
ref
61
remove
1028
ref
appTerm
nil
cons
2709
def
cons
50
ref
764
remove
1022
ref
appTerm
nil
cons
2710
def
cons
nil
cons
cons
nil
cons
cons
2711
def
71
ref
subst
2711
remove
139
ref
subst
nil
657
remove
50
ref
1022
remove
nil
cons
2712
def
cons
nil
cons
2713
def
cons
nil
cons
cons
2714
def
71
ref
subst
2714
remove
139
ref
subst
nil
96
remove
97
ref
1028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2715
def
111
ref
subst
120
ref
proveHyp
113
remove
eqMp
nil
623
remove
2713
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
2715
remove
666
ref
subst
eqMp
eqMp
nil
663
remove
97
ref
2712
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
95
ref
2709
remove
cons
97
ref
2710
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
2716
def
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2155
remove
2705
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
54
ref
2024
ref
2674
ref
2453
remove
appTerm
appTerm
appTerm
2652
remove
appTerm
2717
def
nil
cons
cons
50
ref
1397
ref
2351
ref
54
ref
2675
ref
appTerm
54
ref
2024
remove
2674
remove
2461
remove
appTerm
appTerm
appTerm
2660
ref
appTerm
2718
def
appTerm
2719
def
absTerm
2720
def
appTerm
2721
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
1402
ref
2720
remove
nil
cons
cons
nil
cons
nil
cons
cons
1889
ref
subst
2351
ref
nil
84
ref
2719
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2675
remove
nil
cons
2722
def
cons
50
ref
2718
remove
nil
cons
2723
def
cons
nil
cons
cons
nil
cons
cons
2724
def
71
ref
subst
2724
remove
139
ref
subst
467
ref
2616
remove
2685
remove
2477
remove
appThm
appThm
appThm
2668
remove
appThm
sym
nil
49
ref
1992
remove
2635
ref
appTerm
2725
def
nil
cons
2726
def
cons
50
ref
2669
ref
cons
nil
cons
2727
def
cons
nil
cons
cons
2728
def
71
ref
subst
2728
remove
139
ref
subst
nil
2098
remove
97
ref
2635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2729
def
111
ref
subst
2729
remove
666
ref
subst
nil
95
ref
2099
remove
cons
97
ref
2478
remove
cons
nil
cons
cons
nil
cons
cons
2730
def
111
ref
subst
2730
remove
666
remove
subst
2118
remove
nil
2124
remove
2727
ref
cons
nil
cons
cons
120
ref
subst
proveHyp
2688
remove
nil
2689
remove
50
ref
2690
remove
2660
ref
appTerm
2731
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
2131
remove
2727
remove
cons
nil
cons
cons
2732
def
71
ref
subst
2732
remove
139
ref
subst
53
ref
"_16708"
168
remove
var
2733
def
549
ref
2373
ref
2733
remove
varTerm
appTerm
2415
ref
appTerm
appTerm
2659
ref
appTerm
absTerm
2734
def
2059
remove
appTerm
2735
def
appTerm
refl
2734
ref
2121
remove
appTerm
betaConv
appThm
99
ref
2735
remove
betaConv
appThm
549
ref
2696
ref
2415
ref
appTerm
2736
def
appTerm
2737
def
2659
remove
appTerm
2738
def
refl
appThm
trans
2734
remove
refl
2136
remove
appThm
eqMp
sym
1383
ref
54
ref
2352
remove
1392
ref
appTerm
2739
def
1369
ref
appTerm
appTerm
301
ref
2566
remove
1393
ref
appTerm
appTerm
2555
remove
1392
ref
appTerm
appTerm
appTerm
absTerm
2740
def
2353
ref
appTerm
2741
def
betaConv
345
ref
1397
ref
2740
ref
appTerm
2742
def
absTerm
2743
def
349
ref
appTerm
2744
def
betaConv
346
ref
47
ref
2743
ref
appTerm
2745
def
absTerm
2746
def
347
remove
appTerm
2747
def
betaConv
nil
129
ref
2746
ref
appTerm
2748
def
axiom
2749
def
nil
49
ref
2748
remove
nil
cons
cons
50
ref
2747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
360
remove
130
ref
2746
remove
nil
cons
cons
361
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2745
remove
nil
cons
cons
50
ref
2744
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
124
ref
2743
remove
nil
cons
cons
362
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2742
remove
nil
cons
cons
50
ref
2741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2740
remove
nil
cons
cons
1167
ref
2470
remove
cons
nil
cons
2750
def
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
54
ref
2354
ref
1369
remove
appTerm
2751
def
appTerm
301
remove
2589
ref
appTerm
2556
ref
appTerm
2752
def
appTerm
2753
def
nil
cons
cons
50
ref
2738
ref
nil
cons
2754
def
cons
nil
cons
2755
def
cons
nil
cons
cons
120
ref
subst
proveHyp
2354
ref
refl
2756
def
2125
remove
appThm
2479
remove
90
ref
subst
2355
ref
assume
2757
def
eqMp
2758
def
trans
sym
89
ref
eqMp
nil
49
ref
2751
ref
nil
cons
cons
2759
def
50
ref
54
ref
2752
ref
appTerm
2738
ref
appTerm
2760
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
2752
ref
nil
cons
2761
def
cons
2755
remove
cons
nil
cons
cons
2762
def
71
ref
subst
2762
remove
139
ref
subst
53
ref
"_16710"
8
remove
var
2763
def
2737
ref
172
remove
2763
remove
varTerm
appTerm
2658
ref
appTerm
appTerm
absTerm
2764
def
2589
remove
appTerm
2765
def
appTerm
refl
2764
ref
2556
remove
appTerm
betaConv
appThm
99
ref
2765
remove
betaConv
appThm
2737
ref
2557
ref
2658
ref
appTerm
appTerm
2766
def
refl
appThm
trans
2764
remove
refl
2752
remove
assume
appThm
eqMp
sym
1383
ref
54
ref
2739
ref
2052
ref
appTerm
appTerm
247
ref
2640
remove
1393
ref
appTerm
appTerm
2636
remove
1392
ref
appTerm
appTerm
appTerm
absTerm
2767
def
2353
ref
appTerm
2768
def
betaConv
1316
ref
1397
ref
1383
ref
54
ref
2739
ref
1946
remove
appTerm
appTerm
2769
def
247
ref
2633
remove
1393
ref
appTerm
appTerm
2487
remove
1392
ref
appTerm
2770
def
appTerm
appTerm
absTerm
appTerm
absTerm
2771
def
2051
ref
appTerm
2772
def
betaConv
1315
ref
41
ref
1316
ref
1397
ref
1383
ref
2769
remove
247
ref
2492
remove
1393
ref
appTerm
appTerm
2770
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2773
def
2044
remove
appTerm
2774
def
betaConv
404
remove
2749
ref
subst
nil
49
ref
206
ref
2773
ref
appTerm
nil
cons
cons
50
ref
2774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
264
remove
265
ref
2773
remove
nil
cons
cons
2116
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
41
ref
2771
ref
appTerm
nil
cons
cons
50
ref
2772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
153
ref
2771
remove
nil
cons
cons
2117
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1397
ref
2767
ref
appTerm
nil
cons
cons
50
ref
2768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2767
remove
nil
cons
cons
2750
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
54
ref
2354
ref
2052
remove
appTerm
2775
def
appTerm
247
remove
2658
ref
appTerm
2637
ref
appTerm
2776
def
appTerm
2777
def
nil
cons
cons
50
ref
2766
ref
nil
cons
2778
def
cons
nil
cons
2779
def
cons
nil
cons
cons
120
ref
subst
proveHyp
2756
remove
2127
remove
appThm
2758
ref
trans
sym
89
ref
eqMp
nil
49
ref
2775
ref
nil
cons
cons
2780
def
50
ref
54
ref
2776
ref
appTerm
2766
ref
appTerm
2781
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
2776
ref
nil
cons
2782
def
cons
2779
remove
cons
nil
cons
cons
2783
def
71
ref
subst
2783
remove
139
ref
subst
53
ref
"_16712"
1
remove
var
2784
def
2737
ref
2557
ref
2784
remove
varTerm
appTerm
appTerm
absTerm
2785
def
2658
remove
appTerm
2786
def
appTerm
refl
2785
ref
2637
ref
appTerm
betaConv
appThm
99
ref
2786
remove
betaConv
appThm
2737
ref
2557
remove
2637
remove
appTerm
2787
def
appTerm
2788
def
refl
appThm
trans
2785
remove
refl
2776
remove
assume
appThm
eqMp
sym
1383
ref
54
ref
2739
ref
2142
ref
appTerm
appTerm
549
ref
2696
remove
1393
ref
appTerm
appTerm
2373
ref
2120
ref
appTerm
2789
def
1392
ref
appTerm
appTerm
appTerm
absTerm
2790
def
2353
ref
appTerm
2791
def
betaConv
2137
ref
1397
ref
1383
ref
54
ref
2739
remove
1891
remove
2137
ref
varTerm
2792
def
appTerm
appTerm
appTerm
2793
def
549
ref
2373
ref
2107
remove
2792
ref
appTerm
appTerm
1393
ref
appTerm
appTerm
2373
ref
2792
ref
appTerm
1392
ref
appTerm
2794
def
appTerm
appTerm
absTerm
appTerm
absTerm
2795
def
2120
remove
appTerm
2796
def
betaConv
2139
ref
38
ref
15
ref
169
ref
22
ref
cons
opType
constTerm
2797
def
2137
remove
1397
ref
1383
ref
2793
remove
549
ref
2373
remove
1112
remove
2139
remove
varTerm
appTerm
2792
remove
appTerm
appTerm
1393
ref
appTerm
appTerm
2794
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2798
def
2106
remove
appTerm
2799
def
betaConv
1909
remove
2749
remove
subst
nil
49
ref
38
remove
15
remove
548
ref
22
remove
cons
opType
constTerm
2798
ref
appTerm
nil
cons
cons
50
ref
2799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1908
remove
"P"
548
remove
var
2798
remove
nil
cons
cons
2704
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2797
remove
2795
ref
appTerm
nil
cons
cons
50
ref
2796
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
2237
remove
"P"
169
remove
var
2795
remove
nil
cons
cons
2236
remove
2138
remove
cons
nil
cons
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1397
ref
2790
ref
appTerm
nil
cons
cons
50
ref
2791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2790
remove
nil
cons
cons
2750
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
54
ref
2354
ref
2142
ref
appTerm
2800
def
appTerm
2737
remove
2789
remove
2353
ref
appTerm
2801
def
appTerm
2802
def
appTerm
2803
def
nil
cons
cons
50
ref
2788
ref
nil
cons
2804
def
cons
nil
cons
2805
def
cons
nil
cons
cons
120
ref
subst
proveHyp
1383
ref
54
ref
2091
ref
appTerm
2146
ref
appTerm
2806
def
absTerm
2807
def
1392
ref
appTerm
2808
def
betaConv
1997
remove
2051
remove
appTerm
2809
def
betaConv
2160
remove
2162
remove
nil
2163
remove
50
ref
2159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
ref
2164
remove
362
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
2010
remove
50
ref
2809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
ref
2152
remove
2117
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
1397
ref
2807
ref
appTerm
nil
cons
cons
50
ref
2808
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2807
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2806
ref
nil
cons
cons
50
ref
2800
ref
nil
cons
2810
def
cons
nil
cons
2811
def
cons
nil
cons
cons
120
ref
subst
proveHyp
2145
remove
nil
2093
ref
50
ref
54
ref
2146
ref
appTerm
2800
ref
appTerm
2812
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
2147
ref
cons
2811
remove
cons
nil
cons
cons
2813
def
71
ref
subst
2813
remove
139
ref
subst
53
ref
"_16714"
1097
remove
var
2814
def
2354
remove
2814
remove
varTerm
appTerm
absTerm
2815
def
2142
remove
appTerm
2816
def
appTerm
refl
2815
ref
1392
ref
appTerm
betaConv
appThm
99
ref
2816
remove
betaConv
appThm
2355
remove
refl
appThm
trans
2815
remove
refl
2146
remove
assume
appThm
eqMp
sym
2757
remove
eqMp
eqMp
nil
95
ref
2147
remove
cons
97
ref
2810
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
60
ref
2091
remove
appTerm
2812
remove
appTerm
nil
cons
cons
50
ref
54
ref
2806
remove
appTerm
2800
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
ref
2810
ref
cons
2148
remove
2093
remove
nil
cons
cons
cons
nil
cons
cons
2716
ref
subst
eqMp
eqMp
nil
49
ref
2810
remove
cons
2817
def
50
ref
54
ref
2802
ref
appTerm
2788
ref
appTerm
2818
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
49
ref
2802
ref
nil
cons
2819
def
cons
2805
remove
cons
nil
cons
cons
2820
def
71
ref
subst
2820
remove
139
ref
subst
53
remove
"_16716"
164
remove
var
2821
def
549
ref
2821
remove
varTerm
appTerm
2787
ref
appTerm
absTerm
2822
def
2736
remove
appTerm
2823
def
appTerm
refl
2822
ref
2801
ref
appTerm
betaConv
appThm
99
remove
2823
remove
betaConv
appThm
549
remove
2801
remove
appTerm
2787
remove
appTerm
2824
def
refl
appThm
trans
2822
remove
refl
2802
remove
assume
appThm
eqMp
sym
1383
ref
2725
remove
absTerm
2825
def
1392
ref
appTerm
betaConv
sym
2143
remove
887
ref
2144
remove
appThm
2758
remove
appThm
1065
ref
trans
appThm
1065
remove
trans
sym
89
remove
eqMp
eqMp
1169
ref
1402
ref
2825
ref
nil
cons
cons
1404
ref
cons
nil
cons
cons
602
remove
subst
proveHyp
nil
49
ref
365
remove
1396
remove
constTerm
2826
def
2825
remove
appTerm
nil
cons
cons
50
ref
2824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
2149
remove
nil
49
ref
2826
remove
1383
ref
2554
ref
absTerm
2827
def
appTerm
2828
def
nil
cons
2829
def
cons
2830
def
50
ref
2558
ref
nil
cons
2831
def
cons
nil
cons
2832
def
cons
nil
cons
cons
2833
def
71
ref
subst
2833
remove
139
ref
subst
nil
2576
ref
2832
ref
cons
nil
cons
cons
2834
def
120
ref
subst
nil
2830
remove
50
ref
2565
remove
2558
remove
appTerm
2835
def
nil
cons
2836
def
cons
nil
cons
2837
def
cons
nil
cons
cons
120
ref
subst
nil
1402
ref
1383
ref
54
ref
2827
ref
1392
ref
appTerm
2838
def
appTerm
2835
ref
appTerm
2839
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1889
remove
subst
1383
ref
nil
84
ref
2839
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
49
ref
2838
ref
nil
cons
2840
def
cons
2837
ref
cons
nil
cons
cons
2841
def
71
ref
subst
2841
remove
139
ref
subst
2838
ref
betaConv
2838
remove
assume
eqMp
nil
49
ref
2554
remove
nil
cons
2842
def
cons
2843
def
2837
remove
cons
nil
cons
cons
2844
def
120
ref
subst
proveHyp
2844
ref
71
ref
subst
2844
remove
139
ref
subst
2834
ref
71
remove
subst
2834
remove
139
remove
subst
nil
2843
remove
2832
remove
cons
nil
cons
cons
120
ref
subst
2559
ref
2353
ref
appTerm
2845
def
betaConv
2561
ref
1392
ref
appTerm
2846
def
betaConv
2563
ref
29
ref
appTerm
2847
def
betaConv
nil
2576
remove
50
ref
2847
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
152
ref
153
ref
2563
remove
nil
cons
cons
155
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2562
remove
nil
cons
cons
50
ref
2846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2561
remove
nil
cons
cons
1404
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2560
remove
nil
cons
cons
50
ref
2845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2559
remove
nil
cons
cons
2750
ref
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2575
remove
cons
2848
def
97
ref
2831
remove
cons
nil
cons
2849
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
95
ref
2842
remove
cons
97
ref
2836
remove
cons
nil
cons
2850
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
2840
remove
cons
2850
ref
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
1397
remove
1167
ref
54
ref
2827
ref
1167
remove
varTerm
appTerm
appTerm
2835
ref
appTerm
absTerm
appTerm
nil
cons
cons
50
ref
54
ref
2828
remove
appTerm
2835
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2827
remove
nil
cons
cons
2850
remove
cons
nil
cons
cons
632
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2829
remove
cons
2849
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
nil
95
ref
2819
ref
cons
97
ref
2804
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
60
ref
2800
remove
appTerm
2818
remove
appTerm
nil
cons
cons
50
ref
54
ref
2803
remove
appTerm
2788
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
ref
2804
remove
cons
50
ref
2819
remove
cons
2817
remove
nil
cons
cons
cons
nil
cons
cons
2716
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2782
ref
cons
97
ref
2778
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
60
ref
2775
remove
appTerm
2781
remove
appTerm
nil
cons
cons
50
ref
54
ref
2777
remove
appTerm
2766
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
ref
2778
remove
cons
50
ref
2782
remove
cons
2780
remove
nil
cons
cons
cons
nil
cons
cons
2716
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
95
ref
2761
ref
cons
97
ref
2754
ref
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
60
ref
2751
remove
appTerm
2760
remove
appTerm
nil
cons
cons
50
ref
54
remove
2753
remove
appTerm
2738
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
ref
2754
remove
cons
50
ref
2761
remove
cons
2759
remove
nil
cons
cons
cons
nil
cons
cons
2716
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2153
remove
97
ref
2669
ref
cons
nil
cons
2851
def
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
2706
remove
2731
remove
appTerm
nil
cons
cons
50
ref
2707
remove
2660
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
1021
remove
2669
remove
cons
2708
remove
cons
nil
cons
cons
2716
remove
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
95
ref
2726
remove
cons
2851
remove
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
95
ref
2722
remove
cons
97
ref
2723
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2717
remove
appTerm
2721
remove
appTerm
nil
cons
cons
2683
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2676
ref
1162
ref
appTerm
betaConv
appThm
1937
ref
2351
ref
467
ref
2676
ref
2353
remove
appTerm
betaConv
2852
def
appThm
2676
ref
2415
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
ref
2351
remove
2852
remove
absThm
appThm
appThm
nil
1939
ref
2676
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
ref
subst
eqMp
eqMp
eqMp
nil
95
ref
2681
remove
cons
97
ref
2682
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2671
remove
appTerm
2680
remove
appTerm
nil
cons
cons
2648
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2643
ref
1162
remove
appTerm
betaConv
appThm
1937
ref
1383
ref
467
ref
2643
ref
1392
remove
appTerm
betaConv
2853
def
appThm
2643
ref
1393
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1937
remove
1383
remove
2853
remove
absThm
appThm
appThm
nil
1939
remove
2643
remove
nil
cons
cons
nil
cons
nil
cons
cons
1945
remove
subst
eqMp
eqMp
eqMp
nil
95
remove
2646
remove
cons
97
ref
2647
remove
cons
nil
cons
cons
nil
cons
cons
111
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
ref
2628
remove
appTerm
2632
remove
appTerm
nil
cons
cons
2578
remove
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
ref
2568
ref
6
remove
appTerm
betaConv
appThm
536
remove
1315
remove
1217
ref
1316
remove
467
ref
2568
ref
1317
remove
appTerm
betaConv
appThm
2568
ref
1318
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1217
remove
4
remove
2568
ref
29
remove
appTerm
betaConv
absThm
appThm
appThm
nil
1988
remove
2568
remove
nil
cons
cons
nil
cons
nil
cons
cons
1989
remove
subst
eqMp
eqMp
eqMp
nil
2848
remove
97
remove
2577
remove
cons
nil
cons
cons
nil
cons
cons
111
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
60
remove
2552
remove
appTerm
2574
remove
appTerm
nil
cons
cons
50
ref
47
ref
2383
ref
appTerm
2854
def
nil
cons
2855
def
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
467
ref
887
remove
2383
ref
12
remove
appTerm
betaConv
appThm
535
remove
346
remove
1216
ref
345
remove
467
remove
2383
ref
349
remove
appTerm
betaConv
appThm
2383
ref
350
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1216
remove
11
remove
2385
remove
absThm
appThm
appThm
nil
1078
remove
2383
remove
nil
cons
2856
def
cons
nil
cons
nil
cons
cons
1085
remove
subst
eqMp
eqMp
2857
def
nil
49
ref
2855
ref
cons
50
ref
2384
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
123
remove
124
ref
2856
remove
cons
126
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2382
remove
nil
cons
cons
50
ref
2381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
152
remove
153
ref
2380
remove
nil
cons
cons
155
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
ref
2379
remove
nil
cons
cons
50
ref
2378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
1169
ref
1402
ref
2377
remove
nil
cons
cons
1404
remove
cons
nil
cons
cons
150
ref
subst
eqMp
eqMp
nil
49
remove
2376
remove
nil
cons
cons
50
remove
2375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
remove
subst
proveHyp
1169
remove
1402
remove
2374
remove
nil
cons
cons
2750
remove
cons
nil
cons
cons
150
remove
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
47
ref
2372
remove
appTerm
thm
nil
333
remove
311
ref
129
remove
134
ref
206
remove
207
ref
313
remove
314
ref
47
ref
214
ref
41
ref
215
ref
390
remove
absTerm
2858
def
appTerm
2859
def
absTerm
2860
def
appTerm
2861
def
absTerm
2862
def
appTerm
2863
def
absTerm
2864
def
appTerm
2865
def
absTerm
2866
def
appTerm
2867
def
absTerm
2868
def
nil
cons
cons
nil
cons
nil
cons
cons
337
remove
subst
311
remove
nil
84
ref
2867
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
130
remove
2866
remove
nil
cons
cons
nil
cons
nil
cons
cons
336
remove
subst
134
remove
nil
84
ref
2865
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
265
remove
2864
remove
nil
cons
cons
nil
cons
nil
cons
cons
405
remove
subst
207
remove
nil
84
ref
2863
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
338
remove
2862
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
remove
subst
314
remove
nil
84
ref
2861
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
2860
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
214
remove
nil
84
ref
2859
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2858
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
215
remove
nil
84
ref
391
remove
cons
nil
cons
nil
cons
cons
90
ref
subst
1055
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
310
remove
2868
remove
appTerm
thm
nil
183
ref
167
ref
2854
remove
absTerm
2869
def
nil
cons
cons
nil
cons
nil
cons
cons
1877
ref
subst
167
ref
nil
84
ref
2855
remove
cons
nil
cons
nil
cons
cons
90
ref
subst
2857
remove
eqMp
absThm
eqMp
nil
180
ref
2869
remove
appTerm
thm
nil
183
remove
167
ref
47
ref
2166
ref
47
remove
2167
ref
41
ref
2168
ref
41
remove
2169
ref
2201
ref
absTerm
2870
def
appTerm
2871
def
absTerm
2872
def
appTerm
2873
def
absTerm
2874
def
appTerm
2875
def
absTerm
2876
def
appTerm
2877
def
absTerm
2878
def
nil
cons
cons
nil
cons
nil
cons
cons
1877
remove
subst
167
remove
nil
84
ref
2877
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
ref
2876
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
ref
subst
2166
remove
nil
84
ref
2875
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
124
remove
2874
remove
nil
cons
cons
nil
cons
nil
cons
cons
445
remove
subst
2167
remove
nil
84
ref
2873
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
ref
2872
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
ref
subst
2168
remove
nil
84
ref
2871
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
ref
subst
nil
153
remove
2870
remove
nil
cons
cons
nil
cons
nil
cons
cons
460
remove
subst
2169
remove
nil
84
remove
2201
remove
nil
cons
cons
nil
cons
nil
cons
cons
90
remove
subst
2350
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
180
remove
2878
remove
appTerm
thm