reference documentation

Article stream-thm.art

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

386942 bytes
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74
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appTerm
betaConv
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appThm
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appTerm
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appTerm
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refl
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ref
98
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82
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124
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appTerm
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126
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77
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appTerm
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appThm
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79
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appTerm
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trans
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appThm
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appTerm
betaConv
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ref
98
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remove
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98
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appTerm
betaConv
trans
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appThm
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68
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65
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nil
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34
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axiom
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nil
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ref
54
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cons
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nil
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subst
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"A"
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def
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def
"P"
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"x"
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cons
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172
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182
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220
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207
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appTerm
232
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appTerm
196
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appTerm
233
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absTerm
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appTerm
235
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betaConv
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234
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appTerm
236
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axiom
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74
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236
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nil
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subst
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215
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remove
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subst
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absThm
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239
ref
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41
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appTerm
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constTerm
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75
ref
251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
"P"
28
ref
var
254
def
250
remove
nil
cons
cons
58
ref
109
ref
nil
cons
255
def
cons
nil
cons
256
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
257
def
subst
subst
258
def
trans
trans
sym
112
ref
eqMp
nil
25
ref
0
ref
7
ref
0
ref
7
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
16
remove
appTerm
9
remove
appTerm
thm
nil
215
ref
184
ref
182
ref
"Data.Stream.@"
const
0
ref
"Data.List.list"
typeOp
3
ref
opType
259
def
14
ref
cons
opType
constTerm
260
def
"Data.List.[]"
const
259
ref
constTerm
261
def
appTerm
196
ref
appTerm
262
def
appTerm
196
ref
appTerm
263
def
absTerm
264
def
nil
cons
cons
nil
cons
nil
cons
cons
239
ref
31
ref
151
remove
appTerm
refl
161
remove
appThm
165
remove
eqMp
sym
265
def
subst
266
def
subst
184
ref
nil
106
ref
263
remove
nil
cons
267
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
"P"
0
ref
198
ref
27
ref
cons
opType
268
def
var
269
def
"n"
198
ref
var
270
def
63
ref
206
ref
262
ref
appTerm
270
ref
varTerm
271
def
appTerm
appTerm
207
ref
271
ref
appTerm
272
def
appTerm
absTerm
273
def
nil
cons
cons
nil
cons
nil
cons
cons
224
ref
nil
cons
274
def
18
ref
cons
275
def
265
ref
subst
276
def
subst
270
ref
63
ref
refl
277
def
206
ref
refl
278
def
nil
"l"
259
ref
var
279
def
261
ref
nil
cons
280
def
cons
nil
cons
nil
cons
cons
184
ref
182
ref
260
ref
279
ref
varTerm
281
def
appTerm
196
ref
appTerm
282
def
appTerm
220
ref
270
ref
"Data.Bool.cond"
const
283
def
0
ref
26
ref
0
ref
2
ref
13
ref
nil
cons
284
def
cons
opType
nil
cons
cons
opType
constTerm
285
def
"Number.Natural.<"
const
0
ref
198
ref
268
ref
nil
cons
286
def
cons
opType
287
def
constTerm
288
def
271
ref
appTerm
289
def
"Data.List.length"
const
0
ref
259
ref
223
ref
cons
opType
constTerm
290
def
281
ref
appTerm
291
def
appTerm
appTerm
"Data.List.nth"
const
0
ref
259
ref
205
ref
cons
opType
constTerm
292
def
281
ref
appTerm
271
ref
appTerm
appTerm
207
ref
"Number.Natural.-"
const
0
ref
198
ref
0
ref
198
ref
223
ref
cons
293
def
opType
294
def
nil
cons
295
def
cons
opType
296
def
constTerm
297
def
271
ref
appTerm
298
def
291
remove
appTerm
appTerm
appTerm
299
def
absTerm
300
def
appTerm
appTerm
absTerm
301
def
196
ref
appTerm
302
def
betaConv
279
ref
179
ref
301
ref
appTerm
303
def
absTerm
304
def
281
ref
appTerm
305
def
betaConv
nil
38
ref
0
ref
0
ref
259
ref
27
ref
cons
opType
306
def
27
ref
cons
opType
constTerm
307
def
304
ref
appTerm
308
def
axiom
nil
74
ref
308
remove
nil
cons
cons
75
ref
305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
259
ref
nil
cons
309
def
cons
nil
cons
310
def
"P"
306
ref
var
311
def
304
remove
nil
cons
cons
"x"
259
ref
var
312
def
281
ref
nil
cons
cons
nil
cons
313
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
303
remove
nil
cons
cons
75
ref
302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
301
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
314
def
subst
221
ref
270
ref
285
ref
refl
315
def
289
ref
refl
316
def
nil
25
ref
287
ref
constTerm
317
def
290
ref
261
ref
appTerm
appTerm
"Number.Natural.zero"
const
198
ref
constTerm
318
def
appTerm
axiom
319
def
appThm
nil
"m"
198
ref
var
320
def
271
ref
nil
cons
321
def
cons
nil
cons
322
def
nil
cons
cons
323
def
320
ref
"Data.Bool.~"
const
28
ref
constTerm
324
def
288
ref
320
ref
varTerm
325
def
appTerm
326
def
318
ref
appTerm
327
def
appTerm
328
def
absTerm
329
def
325
ref
appTerm
330
def
betaConv
nil
38
ref
0
ref
268
ref
27
ref
cons
opType
331
def
constTerm
332
def
329
ref
appTerm
333
def
axiom
nil
74
ref
333
remove
nil
cons
cons
75
ref
330
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
329
remove
nil
cons
cons
"x"
198
ref
var
334
def
325
ref
nil
cons
335
def
cons
nil
cons
336
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
328
remove
nil
cons
cons
75
ref
31
ref
327
ref
appTerm
"Data.Bool.F"
const
26
ref
constTerm
337
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
119
ref
327
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
74
ref
324
ref
124
ref
appTerm
338
def
nil
cons
339
def
cons
75
ref
31
ref
124
ref
appTerm
337
ref
appTerm
nil
cons
340
def
cons
nil
cons
cons
nil
cons
cons
341
def
93
ref
subst
341
remove
156
ref
subst
nil
74
ref
124
ref
nil
cons
342
def
cons
343
def
75
ref
337
ref
nil
cons
344
def
cons
nil
cons
345
def
cons
nil
cons
cons
76
ref
refl
346
def
31
ref
77
ref
appTerm
347
def
79
ref
appTerm
348
def
assume
349
def
appThm
88
ref
appThm
sym
nil
74
ref
115
ref
cons
350
def
75
ref
115
ref
cons
nil
cons
351
def
cons
nil
cons
cons
352
def
93
ref
subst
352
remove
156
ref
subst
117
remove
eqMp
nil
119
ref
115
ref
cons
122
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
353
def
eqMp
354
def
nil
74
ref
80
ref
nil
cons
355
def
cons
356
def
75
ref
76
ref
79
ref
appTerm
357
def
77
ref
appTerm
nil
cons
358
def
cons
nil
cons
359
def
cons
nil
cons
cons
156
ref
subst
proveHyp
357
ref
refl
349
remove
appThm
sym
353
remove
eqMp
360
def
eqMp
nil
350
ref
75
ref
107
ref
cons
nil
cons
361
def
cons
nil
cons
cons
144
ref
subst
nil
119
ref
355
ref
cons
362
def
121
ref
358
remove
cons
nil
cons
363
def
cons
nil
cons
cons
364
def
123
ref
127
remove
139
ref
appTerm
betaConv
139
remove
124
ref
appTerm
betaConv
129
ref
appThm
138
remove
126
ref
appTerm
betaConv
trans
trans
appThm
140
remove
appThm
134
remove
141
remove
appThm
eqMp
sym
112
ref
eqMp
365
def
subst
eqMp
144
ref
364
remove
135
ref
subst
eqMp
deductAntisym
deductAntisym
366
def
subst
31
ref
338
ref
appTerm
refl
74
ref
78
ref
337
ref
appTerm
absTerm
367
def
124
ref
appTerm
betaConv
appThm
nil
102
ref
324
ref
appTerm
367
remove
appTerm
axiom
133
ref
appThm
eqMp
338
remove
assume
eqMp
nil
74
ref
76
ref
124
ref
appTerm
368
def
337
ref
appTerm
nil
cons
cons
75
ref
76
ref
337
ref
appTerm
369
def
124
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
344
ref
cons
75
ref
342
ref
cons
nil
cons
cons
nil
cons
cons
370
def
93
ref
subst
370
remove
156
ref
subst
74
ref
77
ref
absTerm
371
def
124
ref
appTerm
372
def
betaConv
nil
31
ref
337
ref
appTerm
373
def
252
ref
371
ref
appTerm
374
def
appTerm
axiom
337
ref
assume
eqMp
nil
74
ref
374
remove
nil
cons
cons
75
ref
372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
371
remove
nil
cons
cons
58
ref
342
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
375
def
eqMp
nil
119
ref
344
ref
cons
121
ref
342
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
339
remove
cons
121
ref
340
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
376
def
subst
eqMp
377
def
subst
trans
appThm
292
ref
261
ref
appTerm
271
ref
appTerm
378
def
refl
appThm
207
ref
refl
379
def
298
ref
refl
380
def
319
ref
appThm
323
ref
320
ref
317
ref
297
ref
325
ref
appTerm
381
def
318
ref
appTerm
appTerm
325
ref
appTerm
absTerm
382
def
325
ref
appTerm
383
def
betaConv
nil
332
ref
382
ref
appTerm
384
def
axiom
nil
74
ref
384
remove
nil
cons
cons
75
ref
383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
382
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
appThm
nil
"t2"
2
ref
var
385
def
272
ref
nil
cons
386
def
cons
"t1"
2
ref
var
387
def
378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
385
ref
63
ref
285
ref
337
ref
appTerm
388
def
387
ref
varTerm
389
def
appTerm
385
ref
varTerm
390
def
appTerm
appTerm
390
ref
appTerm
absTerm
391
def
390
ref
appTerm
392
def
betaConv
387
ref
41
ref
391
ref
appTerm
393
def
absTerm
394
def
389
ref
appTerm
395
def
betaConv
nil
41
ref
394
ref
appTerm
396
def
axiom
nil
74
ref
396
remove
nil
cons
cons
75
ref
395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
394
remove
nil
cons
cons
42
ref
389
ref
nil
cons
cons
nil
cons
397
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
393
remove
nil
cons
cons
75
ref
392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
391
remove
nil
cons
cons
42
ref
390
ref
nil
cons
cons
nil
cons
398
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
399
def
subst
trans
absThm
appThm
trans
appThm
nil
222
ref
270
ref
272
ref
absTerm
400
def
nil
cons
cons
nil
cons
nil
cons
cons
222
ref
25
ref
0
ref
201
ref
0
ref
201
ref
27
ref
cons
opType
401
def
nil
cons
cons
opType
constTerm
206
ref
220
ref
222
ref
varTerm
402
def
appTerm
appTerm
appTerm
402
ref
appTerm
absTerm
403
def
402
ref
appTerm
404
def
betaConv
nil
38
ref
0
ref
401
ref
27
ref
cons
opType
constTerm
403
ref
appTerm
405
def
axiom
nil
74
ref
405
remove
nil
cons
cons
75
ref
404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
205
remove
cons
nil
cons
"P"
401
remove
var
403
remove
nil
cons
cons
"x"
201
ref
var
402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
406
def
subst
trans
271
ref
refl
407
def
appThm
400
remove
271
ref
appTerm
betaConv
trans
appThm
272
ref
refl
appThm
nil
42
ref
386
remove
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
eqMp
nil
74
ref
332
ref
273
remove
appTerm
nil
cons
cons
75
ref
267
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"s2"
4
ref
var
408
def
216
remove
cons
"s1"
4
ref
var
409
def
262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
74
ref
332
ref
270
ref
63
ref
206
ref
409
ref
varTerm
410
def
appTerm
411
def
271
ref
appTerm
412
def
appTerm
206
ref
408
ref
varTerm
413
def
appTerm
414
def
271
ref
appTerm
415
def
appTerm
absTerm
416
def
appTerm
417
def
nil
cons
418
def
cons
419
def
75
ref
182
ref
410
ref
appTerm
413
ref
appTerm
420
def
nil
cons
421
def
cons
nil
cons
cons
nil
cons
cons
422
def
93
ref
subst
422
ref
156
ref
subst
183
ref
nil
184
ref
410
ref
nil
cons
423
def
cons
nil
cons
nil
cons
cons
184
ref
182
ref
196
ref
appTerm
232
remove
appTerm
424
def
absTerm
425
def
196
ref
appTerm
426
def
betaConv
180
ref
184
ref
424
remove
assume
sym
233
remove
assume
sym
deductAntisym
absThm
appThm
237
remove
eqMp
nil
74
ref
179
ref
425
ref
appTerm
nil
cons
cons
75
ref
426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
425
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
427
def
subst
appThm
nil
184
ref
413
ref
nil
cons
428
def
cons
nil
cons
nil
cons
cons
427
remove
subst
appThm
sym
221
ref
nil
"g"
201
ref
var
414
ref
nil
cons
cons
222
ref
411
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
226
ref
177
ref
subst
subst
332
ref
refl
429
def
334
ref
277
ref
nil
270
ref
334
ref
varTerm
430
def
nil
cons
431
def
cons
432
def
nil
cons
nil
cons
cons
416
ref
271
ref
appTerm
433
def
betaConv
nil
419
remove
75
ref
433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
416
remove
nil
cons
cons
334
ref
321
ref
cons
nil
cons
434
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
414
ref
430
ref
appTerm
435
def
refl
appThm
nil
42
ref
435
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
appThm
248
ref
275
ref
257
ref
subst
subst
436
def
trans
trans
sym
112
ref
eqMp
appThm
eqMp
eqMp
nil
119
ref
418
ref
cons
121
ref
421
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
437
def
subst
eqMp
eqMp
absThm
eqMp
nil
179
ref
264
remove
appTerm
thm
nil
215
ref
184
ref
182
ref
"Data.Stream.drop"
const
0
ref
4
ref
0
ref
198
ref
5
ref
cons
opType
nil
cons
cons
opType
constTerm
438
def
196
ref
appTerm
439
def
318
ref
appTerm
440
def
appTerm
441
def
196
ref
appTerm
442
def
absTerm
443
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
442
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
183
ref
nil
270
ref
318
ref
nil
cons
444
def
cons
445
def
nil
cons
nil
cons
cons
446
def
270
ref
182
ref
439
ref
271
ref
appTerm
447
def
appTerm
448
def
220
ref
320
ref
207
ref
"Number.Natural.+"
const
296
ref
constTerm
449
def
325
ref
appTerm
450
def
271
ref
appTerm
451
def
appTerm
452
def
absTerm
453
def
appTerm
appTerm
absTerm
454
def
271
ref
appTerm
455
def
betaConv
184
ref
332
ref
454
ref
appTerm
456
def
absTerm
457
def
196
ref
appTerm
458
def
betaConv
nil
179
ref
457
ref
appTerm
459
def
axiom
nil
74
ref
459
remove
nil
cons
cons
75
ref
458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
457
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
456
remove
nil
cons
cons
75
ref
455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
454
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
460
def
subst
221
ref
320
ref
379
ref
320
ref
317
ref
450
ref
318
ref
appTerm
appTerm
325
ref
appTerm
absTerm
461
def
325
ref
appTerm
462
def
betaConv
nil
332
ref
461
ref
appTerm
463
def
axiom
nil
74
ref
463
remove
nil
cons
cons
75
ref
462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
461
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
464
def
appThm
absThm
appThm
trans
appThm
196
ref
refl
465
def
appThm
sym
183
ref
221
ref
225
remove
"t"
201
ref
var
207
ref
nil
cons
466
def
cons
nil
cons
nil
cons
cons
"t"
23
ref
var
467
def
33
ref
42
ref
467
ref
varTerm
468
def
46
ref
appTerm
absTerm
469
def
appTerm
468
ref
appTerm
470
def
absTerm
471
def
468
ref
appTerm
472
def
betaConv
nil
52
ref
471
ref
appTerm
473
def
axiom
474
def
nil
74
ref
473
remove
nil
cons
cons
75
ref
472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
ref
172
ref
471
remove
nil
cons
cons
173
ref
468
ref
nil
cons
cons
nil
cons
475
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
476
def
subst
appThm
appThm
465
ref
appThm
sym
238
remove
eqMp
eqMp
477
def
eqMp
absThm
eqMp
nil
179
ref
443
remove
appTerm
thm
nil
147
ref
"a"
2
ref
var
478
def
182
ref
"Data.Stream.replicate"
const
0
ref
2
ref
5
ref
cons
opType
479
def
constTerm
480
def
478
ref
varTerm
481
def
appTerm
482
def
appTerm
"Data.Stream.::"
const
483
def
0
ref
2
ref
14
ref
cons
opType
constTerm
484
def
481
ref
appTerm
485
def
482
ref
appTerm
486
def
appTerm
487
def
absTerm
488
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
487
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
183
ref
nil
25
ref
0
ref
479
ref
0
ref
479
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
489
def
480
remove
appTerm
"Data.Stream.iterate"
const
0
ref
13
ref
479
remove
nil
cons
490
def
cons
opType
constTerm
491
def
15
ref
appTerm
492
def
appTerm
axiom
481
ref
refl
493
def
appThm
494
def
appThm
485
ref
refl
495
def
494
remove
appThm
appThm
sym
183
ref
nil
188
remove
nil
cons
cons
183
ref
187
ref
489
ref
491
remove
187
ref
varTerm
496
def
appTerm
497
def
appTerm
"Data.Stream.unfold"
const
498
def
0
ref
0
ref
2
ref
"Data.Pair.*"
typeOp
499
def
12
remove
opType
500
def
nil
cons
cons
opType
501
def
490
remove
cons
opType
constTerm
478
ref
"Data.Pair.,"
const
502
def
0
ref
2
ref
501
ref
nil
cons
cons
opType
constTerm
481
ref
appTerm
503
def
496
ref
481
ref
appTerm
504
def
appTerm
absTerm
505
def
appTerm
506
def
appTerm
absTerm
507
def
496
ref
appTerm
508
def
betaConv
nil
38
ref
0
ref
0
ref
13
ref
27
ref
cons
opType
509
def
27
ref
cons
opType
constTerm
510
def
507
ref
appTerm
511
def
axiom
nil
74
ref
511
remove
nil
cons
cons
75
ref
508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
284
ref
cons
nil
cons
512
def
"P"
509
ref
var
513
def
507
remove
nil
cons
cons
"x"
13
ref
var
496
ref
nil
cons
cons
nil
cons
514
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
515
def
493
ref
appThm
appThm
495
ref
515
remove
504
ref
refl
appThm
appThm
appThm
sym
183
ref
nil
"b"
2
ref
var
516
def
481
ref
nil
cons
517
def
cons
"f"
501
remove
var
505
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
189
ref
146
ref
cons
18
ref
cons
183
ref
"b"
20
ref
var
518
def
182
ref
498
ref
0
ref
0
ref
20
ref
499
ref
22
remove
opType
519
def
nil
cons
520
def
cons
opType
521
def
0
ref
20
ref
5
ref
cons
opType
522
def
nil
cons
cons
opType
constTerm
"f"
521
ref
var
523
def
varTerm
524
def
appTerm
525
def
518
ref
varTerm
526
def
appTerm
527
def
appTerm
528
def
220
ref
270
ref
"Data.Pair.fst"
const
529
def
0
ref
519
ref
3
ref
cons
opType
530
def
constTerm
531
def
524
ref
"Function.^"
const
532
def
0
ref
227
ref
0
ref
198
ref
227
ref
nil
cons
533
def
cons
opType
nil
cons
cons
opType
constTerm
200
ref
0
ref
0
ref
519
ref
21
ref
cons
opType
534
def
0
ref
521
ref
533
ref
cons
opType
nil
cons
cons
opType
constTerm
"Data.Pair.snd"
const
535
def
534
ref
constTerm
536
def
appTerm
524
ref
appTerm
537
def
appTerm
538
def
271
ref
appTerm
539
def
526
ref
appTerm
540
def
appTerm
appTerm
541
def
absTerm
542
def
appTerm
543
def
appTerm
absTerm
544
def
526
ref
appTerm
545
def
betaConv
523
ref
38
ref
0
ref
43
ref
27
ref
cons
opType
546
def
constTerm
547
def
544
ref
appTerm
548
def
absTerm
549
def
524
ref
appTerm
550
def
betaConv
nil
38
ref
0
ref
0
ref
521
ref
27
ref
cons
opType
551
def
27
ref
cons
opType
constTerm
552
def
549
ref
appTerm
553
def
axiom
nil
74
ref
553
remove
nil
cons
cons
75
ref
550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
521
ref
nil
cons
554
def
cons
nil
cons
555
def
"P"
551
remove
var
556
def
549
remove
nil
cons
cons
"x"
521
ref
var
524
ref
nil
cons
557
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
548
remove
nil
cons
cons
75
ref
545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
21
ref
cons
558
def
nil
cons
559
def
"P"
43
ref
var
560
def
544
remove
nil
cons
cons
"x"
20
ref
var
561
def
526
ref
nil
cons
cons
562
def
nil
cons
563
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
564
def
appThm
"select"
const
565
def
0
ref
0
ref
0
ref
519
ref
5
ref
cons
opType
566
def
27
ref
cons
opType
567
def
566
ref
nil
cons
568
def
cons
opType
constTerm
569
def
refl
570
def
"f"
566
ref
var
571
def
41
ref
refl
572
def
478
ref
547
ref
refl
573
def
"b'"
20
ref
var
574
def
182
ref
571
ref
varTerm
502
ref
0
ref
2
ref
554
remove
cons
opType
constTerm
575
def
481
ref
appTerm
576
def
574
ref
varTerm
577
def
appTerm
578
def
appTerm
appTerm
579
def
refl
580
def
nil
"t"
4
ref
var
581
def
525
ref
577
ref
appTerm
582
def
nil
cons
583
def
cons
"h"
2
ref
var
584
def
517
ref
cons
nil
cons
585
def
cons
nil
cons
cons
586
def
581
ref
182
ref
484
ref
584
ref
varTerm
587
def
appTerm
588
def
581
ref
varTerm
589
def
appTerm
590
def
appTerm
220
ref
270
ref
285
ref
317
ref
271
ref
appTerm
591
def
318
ref
appTerm
592
def
appTerm
593
def
587
ref
appTerm
594
def
206
ref
589
ref
appTerm
595
def
298
ref
"Number.Natural.bit1"
const
294
ref
constTerm
596
def
318
ref
appTerm
597
def
appTerm
598
def
appTerm
appTerm
absTerm
599
def
appTerm
appTerm
absTerm
600
def
589
ref
appTerm
601
def
betaConv
584
ref
179
ref
600
ref
appTerm
602
def
absTerm
603
def
587
ref
appTerm
604
def
betaConv
nil
41
ref
603
ref
appTerm
605
def
axiom
nil
74
ref
605
remove
nil
cons
cons
75
ref
604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
603
remove
nil
cons
cons
42
ref
587
ref
nil
cons
606
def
cons
nil
cons
607
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
602
remove
nil
cons
cons
75
ref
601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
600
remove
nil
cons
cons
181
ref
589
ref
nil
cons
608
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
609
def
subst
221
ref
270
ref
593
ref
481
ref
appTerm
610
def
refl
611
def
278
ref
nil
518
ref
577
ref
nil
cons
612
def
cons
nil
cons
nil
cons
cons
613
def
564
ref
subst
appThm
598
ref
refl
614
def
appThm
appThm
absThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
524
ref
526
ref
appTerm
615
def
refl
appThm
appThm
sym
"x"
519
ref
var
616
def
"Data.Bool.?"
const
617
def
40
ref
constTerm
618
def
478
ref
617
ref
546
remove
constTerm
619
def
518
ref
25
ref
0
ref
519
ref
0
ref
519
ref
27
ref
cons
opType
620
def
nil
cons
cons
opType
constTerm
621
def
616
ref
varTerm
appTerm
576
remove
526
ref
appTerm
622
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
623
def
615
ref
appTerm
624
def
betaConv
nil
38
ref
0
ref
620
ref
27
ref
cons
opType
constTerm
623
ref
appTerm
625
def
axiom
nil
74
ref
625
remove
nil
cons
cons
75
ref
624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
520
ref
cons
nil
cons
"P"
620
remove
var
623
remove
nil
cons
cons
616
remove
615
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
626
def
nil
74
ref
618
ref
478
ref
619
ref
574
ref
621
ref
615
ref
appTerm
578
ref
appTerm
627
def
absTerm
628
def
appTerm
629
def
absTerm
630
def
appTerm
631
def
nil
cons
cons
632
def
75
ref
182
ref
543
remove
appTerm
633
def
569
ref
571
ref
41
ref
478
ref
547
ref
574
ref
579
ref
220
ref
270
ref
610
ref
206
ref
220
ref
270
ref
531
ref
524
ref
539
ref
577
ref
appTerm
appTerm
appTerm
absTerm
634
def
appTerm
appTerm
598
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
615
ref
appTerm
appTerm
635
def
nil
cons
636
def
cons
nil
cons
637
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
147
ref
478
ref
76
ref
630
ref
481
ref
appTerm
638
def
appTerm
639
def
635
ref
appTerm
640
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
640
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
638
ref
nil
cons
641
def
cons
642
def
637
ref
cons
nil
cons
cons
643
def
93
ref
subst
643
remove
156
ref
subst
638
ref
betaConv
638
remove
assume
eqMp
644
def
nil
74
ref
629
ref
nil
cons
cons
645
def
637
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
560
ref
574
ref
76
ref
628
ref
577
ref
appTerm
646
def
appTerm
647
def
635
ref
appTerm
648
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
559
ref
18
ref
cons
649
def
265
ref
subst
650
def
subst
574
ref
nil
106
ref
648
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
646
ref
nil
cons
651
def
cons
652
def
637
ref
cons
nil
cons
cons
653
def
93
ref
subst
653
remove
156
ref
subst
646
ref
betaConv
646
remove
assume
eqMp
654
def
nil
74
ref
627
ref
nil
cons
655
def
cons
656
def
637
remove
cons
nil
cons
cons
657
def
144
ref
subst
proveHyp
657
ref
93
ref
subst
657
remove
156
ref
subst
633
remove
refl
570
ref
571
ref
572
ref
478
ref
573
ref
574
ref
580
remove
221
ref
270
ref
611
remove
nil
222
ref
634
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
614
ref
appThm
634
remove
598
ref
appTerm
betaConv
trans
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
627
remove
assume
658
def
appThm
574
ref
182
ref
569
ref
"_28411"
566
ref
var
659
def
41
ref
478
ref
547
ref
574
ref
182
ref
659
remove
varTerm
578
ref
appTerm
appTerm
220
ref
270
ref
610
ref
531
ref
524
ref
538
ref
598
ref
appTerm
660
def
577
ref
appTerm
appTerm
appTerm
appTerm
661
def
absTerm
appTerm
662
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
663
def
appTerm
664
def
578
ref
appTerm
appTerm
662
ref
appTerm
absTerm
665
def
577
ref
appTerm
666
def
betaConv
478
ref
547
ref
665
ref
appTerm
667
def
absTerm
668
def
481
ref
appTerm
669
def
betaConv
663
ref
664
remove
appTerm
670
def
betaConv
663
ref
"_28409"
519
ref
var
671
def
220
ref
270
ref
593
ref
565
ref
0
ref
0
ref
530
ref
27
ref
cons
opType
672
def
530
ref
nil
cons
673
def
cons
opType
constTerm
"fn"
530
remove
var
674
def
41
ref
478
ref
547
ref
518
ref
63
ref
674
ref
varTerm
622
ref
appTerm
appTerm
675
def
481
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
676
def
appTerm
677
def
671
remove
varTerm
678
def
appTerm
appTerm
531
ref
524
ref
660
ref
565
ref
0
ref
0
ref
534
ref
27
ref
cons
opType
679
def
534
ref
nil
cons
680
def
cons
opType
constTerm
"fn"
534
ref
var
681
def
41
ref
478
ref
547
ref
518
ref
45
ref
681
ref
varTerm
622
ref
appTerm
appTerm
682
def
526
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
683
def
appTerm
684
def
678
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
685
def
appTerm
betaConv
sym
nil
147
ref
478
ref
547
ref
574
ref
182
ref
685
ref
578
ref
appTerm
686
def
appTerm
662
remove
appTerm
687
def
absTerm
688
def
appTerm
689
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
689
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
560
ref
688
remove
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
574
ref
nil
106
ref
687
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
686
remove
betaConv
182
ref
"_28406"
20
ref
var
690
def
220
ref
270
ref
610
remove
531
ref
524
ref
660
ref
690
ref
varTerm
appTerm
appTerm
appTerm
691
def
appTerm
absTerm
appTerm
absTerm
577
ref
appTerm
692
def
appTerm
refl
690
ref
220
ref
270
ref
593
ref
677
ref
578
ref
appTerm
693
def
appTerm
694
def
691
ref
appTerm
absTerm
appTerm
absTerm
695
def
684
ref
578
ref
appTerm
696
def
appTerm
betaConv
appThm
183
ref
692
remove
betaConv
appThm
220
ref
270
ref
694
remove
531
ref
524
ref
660
remove
696
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
25
ref
0
ref
522
ref
0
ref
522
remove
27
ref
cons
opType
nil
cons
cons
opType
constTerm
697
def
"_28405"
2
ref
var
698
def
690
remove
220
ref
270
ref
593
ref
698
remove
varTerm
appTerm
691
remove
appTerm
absTerm
appTerm
absTerm
absTerm
699
def
481
ref
appTerm
700
def
appTerm
refl
699
ref
693
ref
appTerm
betaConv
appThm
697
ref
refl
701
def
700
remove
betaConv
appThm
695
remove
refl
appThm
trans
699
remove
refl
613
ref
518
ref
63
ref
677
ref
622
ref
appTerm
appTerm
481
ref
appTerm
absTerm
702
def
526
ref
appTerm
703
def
betaConv
478
ref
547
ref
702
ref
appTerm
704
def
absTerm
705
def
481
ref
appTerm
706
def
betaConv
676
ref
677
ref
appTerm
707
def
betaConv
617
ref
0
ref
672
ref
27
ref
cons
opType
constTerm
708
def
refl
674
remove
572
ref
478
ref
573
ref
518
ref
675
remove
refl
478
ref
518
ref
481
ref
absTerm
709
def
absTerm
710
def
481
ref
appTerm
betaConv
526
ref
refl
711
def
appThm
709
remove
526
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
3
ref
cons
nil
cons
"_1343"
0
ref
2
ref
0
ref
20
ref
3
ref
cons
opType
nil
cons
cons
opType
var
710
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
0
ref
2
ref
0
ref
20
ref
"C"
varType
712
def
nil
cons
713
def
cons
opType
714
def
nil
cons
715
def
cons
opType
716
def
var
717
def
478
ref
518
ref
"_1343"
716
ref
var
varTerm
481
ref
appTerm
526
ref
appTerm
718
def
absTerm
719
def
absTerm
720
def
nil
cons
cons
nil
cons
nil
cons
cons
717
ref
617
ref
0
ref
0
ref
0
ref
519
ref
713
ref
cons
opType
721
def
27
ref
cons
opType
722
def
27
ref
cons
opType
723
def
constTerm
724
def
"fn"
721
ref
var
725
def
41
ref
478
ref
547
ref
518
ref
25
ref
0
ref
712
ref
0
ref
712
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
726
def
725
ref
varTerm
727
def
622
ref
appTerm
appTerm
728
def
717
remove
varTerm
729
def
481
ref
appTerm
526
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
730
def
729
ref
appTerm
731
def
betaConv
nil
38
ref
0
ref
0
ref
716
ref
27
ref
cons
opType
732
def
27
ref
cons
opType
constTerm
730
ref
appTerm
733
def
axiom
nil
74
ref
733
remove
nil
cons
cons
75
ref
731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
716
ref
nil
cons
cons
nil
cons
"P"
732
remove
var
730
remove
nil
cons
cons
"x"
716
remove
var
729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
nil
74
ref
724
ref
725
ref
41
ref
478
ref
547
ref
518
ref
728
ref
720
remove
481
ref
appTerm
734
def
526
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
735
def
absTerm
736
def
appTerm
737
def
nil
cons
cons
75
ref
724
remove
725
ref
41
ref
478
ref
547
ref
518
ref
728
ref
718
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
738
def
appTerm
739
def
nil
cons
740
def
cons
nil
cons
741
def
cons
nil
cons
cons
144
ref
subst
nil
"P"
722
remove
var
742
def
725
ref
76
ref
736
ref
727
ref
appTerm
743
def
appTerm
739
ref
appTerm
744
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
721
ref
nil
cons
cons
nil
cons
745
def
18
ref
cons
265
ref
subst
subst
725
remove
nil
106
ref
744
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
743
ref
nil
cons
746
def
cons
741
ref
cons
nil
cons
cons
747
def
93
ref
subst
747
remove
156
ref
subst
743
ref
betaConv
743
remove
assume
eqMp
nil
74
ref
735
ref
nil
cons
748
def
cons
741
remove
cons
nil
cons
cons
749
def
144
ref
subst
proveHyp
749
ref
93
ref
subst
749
remove
156
ref
subst
738
ref
727
ref
appTerm
betaConv
sym
572
ref
478
ref
573
ref
518
ref
728
remove
refl
734
remove
betaConv
711
ref
appThm
719
remove
526
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
735
remove
assume
eqMp
eqMp
745
ref
742
ref
738
remove
nil
cons
cons
"x"
721
remove
var
750
def
727
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
31
ref
618
ref
150
ref
appTerm
751
def
appTerm
752
def
refl
158
ref
252
ref
75
ref
76
ref
41
ref
42
ref
76
ref
159
ref
46
ref
appTerm
753
def
appTerm
754
def
79
ref
appTerm
absTerm
appTerm
755
def
appTerm
79
ref
appTerm
absTerm
appTerm
absTerm
756
def
150
ref
appTerm
betaConv
appThm
nil
163
remove
618
ref
appTerm
756
remove
appTerm
axiom
164
remove
appThm
eqMp
757
def
sym
nil
254
ref
121
ref
76
ref
41
ref
42
ref
76
ref
153
ref
appTerm
758
def
126
ref
appTerm
759
def
absTerm
760
def
appTerm
761
def
appTerm
762
def
126
ref
appTerm
763
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
60
ref
265
ref
subst
764
def
subst
121
ref
nil
106
ref
763
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
761
ref
nil
cons
765
def
cons
766
def
75
ref
126
ref
nil
cons
767
def
cons
nil
cons
768
def
cons
nil
cons
cons
769
def
93
ref
subst
769
ref
156
ref
subst
nil
74
ref
154
ref
cons
770
def
768
ref
cons
nil
cons
cons
771
def
144
ref
subst
772
def
760
ref
46
ref
appTerm
773
def
betaConv
nil
766
ref
75
ref
773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
146
ref
147
ref
760
remove
nil
cons
cons
774
def
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
775
def
eqMp
eqMp
nil
119
ref
765
ref
cons
776
def
121
ref
767
ref
cons
nil
cons
777
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
778
def
subst
proveHyp
eqMp
nil
119
ref
748
remove
cons
121
ref
740
remove
cons
nil
cons
779
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
746
remove
cons
779
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
38
ref
723
remove
constTerm
750
ref
76
ref
736
ref
750
remove
varTerm
appTerm
appTerm
739
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
737
remove
appTerm
739
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
745
remove
742
remove
736
remove
nil
cons
cons
779
remove
cons
nil
cons
cons
nil
766
ref
75
ref
76
ref
751
ref
appTerm
780
def
126
ref
appTerm
nil
cons
781
def
cons
nil
cons
cons
nil
cons
cons
782
def
93
ref
subst
782
remove
156
ref
subst
nil
74
ref
751
remove
nil
cons
783
def
cons
784
def
768
ref
cons
nil
cons
cons
785
def
93
ref
subst
785
remove
156
ref
subst
769
remove
144
ref
subst
75
ref
76
ref
41
ref
42
ref
758
ref
79
ref
appTerm
absTerm
appTerm
appTerm
79
ref
appTerm
absTerm
786
def
126
ref
appTerm
787
def
betaConv
nil
784
remove
75
ref
252
ref
786
ref
appTerm
788
def
nil
cons
789
def
cons
nil
cons
cons
nil
cons
cons
790
def
144
ref
subst
757
remove
nil
74
ref
752
remove
788
ref
appTerm
nil
cons
cons
75
ref
780
remove
788
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
790
remove
nil
74
ref
348
ref
nil
cons
791
def
cons
792
def
75
ref
355
ref
cons
nil
cons
793
def
cons
nil
cons
cons
794
def
93
ref
subst
794
remove
156
ref
subst
354
remove
eqMp
nil
119
ref
791
remove
cons
795
def
121
ref
355
remove
cons
nil
cons
796
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
797
def
subst
eqMp
eqMp
nil
74
ref
789
remove
cons
75
ref
787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
786
remove
nil
cons
cons
58
ref
767
ref
cons
nil
cons
798
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
783
remove
cons
777
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
776
ref
121
ref
781
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
799
def
subst
eqMp
eqMp
proveHyp
800
def
subst
eqMp
nil
74
ref
708
remove
676
ref
appTerm
nil
cons
cons
75
ref
707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
673
remove
cons
nil
cons
"p"
672
remove
var
676
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
74
ref
618
ref
159
ref
appTerm
801
def
nil
cons
802
def
cons
803
def
75
ref
31
ref
159
ref
565
ref
0
ref
39
ref
3
ref
cons
opType
constTerm
159
ref
appTerm
appTerm
804
def
appTerm
805
def
98
ref
appTerm
806
def
nil
cons
807
def
cons
nil
cons
808
def
cons
nil
cons
cons
809
def
93
ref
subst
809
remove
156
ref
subst
618
ref
refl
810
def
nil
"t"
39
ref
var
811
def
159
ref
nil
cons
812
def
cons
nil
cons
nil
cons
cons
145
ref
"B"
27
ref
cons
813
def
nil
cons
cons
18
ref
cons
814
def
476
remove
subst
subst
appThm
nil
106
ref
802
ref
cons
nil
cons
nil
cons
cons
815
def
113
ref
subst
801
ref
assume
eqMp
trans
sym
112
ref
eqMp
nil
74
ref
618
ref
42
ref
753
ref
absTerm
816
def
appTerm
817
def
nil
cons
cons
808
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
147
ref
812
ref
cons
121
ref
807
remove
cons
nil
cons
818
def
cons
nil
cons
cons
nil
766
remove
75
ref
76
ref
618
ref
42
ref
153
ref
absTerm
819
def
appTerm
820
def
appTerm
126
ref
appTerm
821
def
nil
cons
822
def
cons
nil
cons
823
def
cons
nil
cons
cons
824
def
366
ref
subst
824
ref
93
ref
subst
824
remove
156
ref
subst
nil
147
ref
42
ref
76
ref
819
ref
46
ref
appTerm
825
def
appTerm
126
ref
appTerm
826
def
absTerm
827
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
826
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
825
ref
nil
cons
828
def
cons
768
ref
cons
nil
cons
cons
829
def
93
ref
subst
829
remove
156
ref
subst
nil
"f"
39
ref
var
150
ref
nil
cons
830
def
cons
61
ref
148
ref
cons
nil
cons
cons
nil
cons
cons
813
remove
146
ref
cons
18
ref
cons
61
ref
45
ref
42
ref
47
remove
absTerm
65
ref
appTerm
appTerm
35
ref
65
ref
appTerm
appTerm
absTerm
831
def
65
ref
appTerm
832
def
betaConv
34
ref
41
ref
831
ref
appTerm
833
def
absTerm
834
def
35
remove
appTerm
835
def
betaConv
nil
52
ref
834
ref
appTerm
836
def
axiom
nil
74
ref
836
remove
nil
cons
cons
75
ref
835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
ref
172
ref
834
remove
nil
cons
cons
174
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
833
remove
nil
cons
cons
75
ref
832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
831
remove
nil
cons
cons
168
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
837
def
825
remove
assume
eqMp
772
remove
proveHyp
775
remove
eqMp
eqMp
nil
119
ref
828
remove
cons
777
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
ref
827
remove
appTerm
nil
cons
cons
823
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
819
ref
nil
cons
cons
838
def
777
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
nil
776
remove
121
ref
822
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
762
remove
821
ref
appTerm
nil
cons
cons
75
ref
76
ref
821
ref
appTerm
761
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
822
ref
cons
75
ref
765
ref
cons
nil
cons
cons
nil
cons
cons
839
def
93
ref
subst
839
remove
156
ref
subst
nil
774
remove
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
759
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
771
ref
93
ref
subst
771
remove
156
ref
subst
837
remove
sym
153
ref
assume
eqMp
146
ref
838
remove
149
ref
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
820
remove
nil
cons
cons
768
remove
cons
nil
cons
cons
144
ref
subst
821
remove
assume
eqMp
proveHyp
eqMp
nil
119
ref
154
remove
cons
840
def
777
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
822
remove
cons
121
ref
765
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
147
ref
42
ref
754
ref
806
ref
appTerm
841
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
841
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
753
ref
nil
cons
842
def
cons
843
def
808
remove
cons
nil
cons
cons
844
def
93
ref
subst
844
remove
156
ref
subst
nil
106
ref
804
ref
nil
cons
845
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
843
remove
75
ref
845
remove
cons
846
def
nil
cons
cons
nil
cons
cons
144
ref
subst
42
ref
754
remove
804
ref
appTerm
absTerm
847
def
46
ref
appTerm
848
def
betaConv
158
ref
41
ref
847
ref
appTerm
849
def
absTerm
850
def
159
ref
appTerm
851
def
betaConv
nil
38
ref
162
remove
constTerm
852
def
850
ref
appTerm
853
def
axiom
nil
74
ref
853
remove
nil
cons
cons
75
ref
851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
62
remove
cons
nil
cons
854
def
"P"
40
remove
var
855
def
850
remove
nil
cons
cons
"x"
39
ref
var
856
def
812
remove
cons
nil
cons
857
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
849
remove
nil
cons
cons
75
ref
848
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
847
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
842
remove
cons
818
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
119
ref
802
ref
cons
818
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
76
ref
801
ref
appTerm
858
def
806
remove
appTerm
nil
cons
cons
75
ref
31
ref
858
ref
804
remove
appTerm
appTerm
859
def
858
ref
98
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"q'"
26
ref
var
860
def
247
remove
cons
nil
cons
nil
cons
cons
801
ref
refl
nil
74
ref
31
ref
801
ref
appTerm
861
def
801
remove
appTerm
nil
cons
cons
75
ref
76
ref
858
ref
805
remove
860
ref
varTerm
862
def
appTerm
863
def
appTerm
appTerm
859
ref
858
remove
862
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"p'"
26
ref
var
864
def
802
remove
cons
nil
cons
nil
cons
cons
860
ref
76
ref
861
remove
864
ref
varTerm
865
def
appTerm
appTerm
76
ref
76
ref
865
ref
appTerm
866
def
863
remove
appTerm
appTerm
859
remove
866
ref
862
ref
appTerm
867
def
appTerm
appTerm
appTerm
absTerm
868
def
862
ref
appTerm
869
def
betaConv
864
ref
252
ref
868
ref
appTerm
870
def
absTerm
871
def
865
ref
appTerm
872
def
betaConv
nil
846
remove
803
remove
nil
cons
cons
nil
cons
cons
nil
254
ref
864
ref
252
ref
860
ref
76
ref
347
ref
865
ref
appTerm
873
def
appTerm
76
ref
866
ref
31
ref
79
ref
appTerm
862
ref
appTerm
874
def
appTerm
875
def
appTerm
81
ref
867
ref
appTerm
876
def
appTerm
877
def
appTerm
878
def
absTerm
879
def
appTerm
880
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
764
ref
subst
864
remove
nil
106
ref
880
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
254
ref
879
remove
nil
cons
cons
nil
cons
nil
cons
cons
764
ref
subst
860
remove
nil
106
ref
878
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
873
remove
nil
cons
881
def
cons
882
def
75
ref
877
remove
nil
cons
883
def
cons
nil
cons
cons
nil
cons
cons
884
def
93
ref
subst
884
remove
156
ref
subst
nil
74
ref
875
ref
nil
cons
885
def
cons
75
ref
876
remove
nil
cons
886
def
cons
nil
cons
cons
nil
cons
cons
887
def
93
ref
subst
887
remove
156
ref
subst
nil
356
ref
75
ref
867
ref
nil
cons
888
def
cons
nil
cons
cons
nil
cons
cons
889
def
366
ref
subst
889
ref
93
ref
subst
889
remove
156
ref
subst
nil
74
ref
865
ref
nil
cons
890
def
cons
891
def
75
ref
862
ref
nil
cons
892
def
cons
nil
cons
893
def
cons
nil
cons
cons
894
def
93
ref
subst
894
ref
156
ref
subst
nil
882
ref
75
ref
78
ref
865
remove
appTerm
895
def
nil
cons
896
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
74
ref
107
ref
cons
75
ref
890
ref
cons
nil
cons
cons
nil
cons
cons
897
def
797
ref
subst
eqMp
898
def
nil
74
ref
896
ref
cons
899
def
893
ref
cons
nil
cons
cons
900
def
144
ref
subst
proveHyp
nil
882
remove
75
ref
866
remove
77
ref
appTerm
901
def
nil
cons
902
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
897
ref
nil
792
remove
359
remove
cons
nil
cons
cons
903
def
93
ref
subst
903
remove
156
ref
subst
360
remove
eqMp
nil
795
remove
363
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
904
def
subst
eqMp
905
def
nil
74
ref
902
ref
cons
906
def
75
ref
76
ref
895
ref
appTerm
907
def
862
ref
appTerm
nil
cons
908
def
cons
nil
cons
cons
nil
cons
cons
909
def
144
ref
subst
proveHyp
909
ref
93
ref
subst
909
remove
156
ref
subst
900
ref
93
ref
subst
900
remove
156
ref
subst
nil
891
ref
361
remove
cons
nil
cons
cons
144
ref
subst
901
remove
assume
eqMp
910
def
897
remove
144
ref
subst
895
remove
assume
eqMp
911
def
910
remove
proveHyp
proveHyp
nil
891
remove
75
ref
874
remove
nil
cons
912
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
875
remove
assume
eqMp
913
def
nil
74
ref
912
remove
cons
914
def
75
ref
357
ref
862
ref
appTerm
915
def
nil
cons
916
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
350
ref
893
ref
cons
nil
cons
cons
917
def
797
remove
subst
eqMp
918
def
nil
74
ref
916
ref
cons
919
def
893
remove
cons
nil
cons
cons
920
def
144
ref
subst
proveHyp
913
remove
nil
914
remove
75
ref
76
ref
862
ref
appTerm
79
ref
appTerm
921
def
nil
cons
922
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
917
ref
904
remove
subst
eqMp
923
def
nil
74
ref
922
ref
cons
924
def
75
ref
76
ref
915
ref
appTerm
925
def
862
remove
appTerm
nil
cons
926
def
cons
nil
cons
cons
nil
cons
cons
927
def
144
ref
subst
proveHyp
927
ref
93
ref
subst
927
remove
156
ref
subst
920
ref
93
ref
subst
920
remove
156
ref
subst
143
remove
917
remove
144
ref
subst
915
remove
assume
eqMp
proveHyp
eqMp
nil
119
ref
916
remove
cons
928
def
121
ref
892
ref
cons
nil
cons
929
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
922
remove
cons
930
def
121
ref
926
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
119
ref
896
remove
cons
931
def
929
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
902
remove
cons
932
def
121
ref
908
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
890
ref
cons
929
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
362
ref
121
ref
888
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
76
ref
80
ref
appTerm
933
def
867
ref
appTerm
nil
cons
cons
75
ref
76
ref
867
ref
appTerm
80
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
888
ref
cons
793
remove
cons
nil
cons
cons
934
def
93
ref
subst
934
remove
156
ref
subst
93
ref
156
ref
898
remove
nil
899
remove
351
ref
cons
nil
cons
cons
935
def
144
ref
subst
proveHyp
905
remove
nil
906
remove
75
ref
907
remove
79
ref
appTerm
nil
cons
936
def
cons
nil
cons
cons
nil
cons
cons
937
def
144
ref
subst
proveHyp
937
ref
93
ref
subst
937
remove
156
ref
subst
935
ref
93
ref
subst
935
remove
156
ref
subst
911
remove
918
remove
nil
919
remove
351
ref
cons
nil
cons
cons
938
def
144
ref
subst
proveHyp
923
remove
nil
924
remove
75
ref
925
remove
79
ref
appTerm
nil
cons
939
def
cons
nil
cons
cons
nil
cons
cons
940
def
144
ref
subst
proveHyp
940
ref
93
ref
subst
940
remove
156
ref
subst
938
ref
93
ref
subst
938
remove
156
ref
subst
894
remove
144
ref
subst
867
remove
assume
eqMp
nil
74
ref
892
ref
cons
351
remove
cons
nil
cons
cons
144
ref
subst
921
remove
assume
eqMp
proveHyp
eqMp
nil
928
remove
122
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
930
remove
121
ref
939
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
931
remove
122
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
932
remove
121
ref
936
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
136
remove
deductAntisym
eqMp
eqMp
nil
119
ref
888
remove
cons
796
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
885
remove
cons
121
ref
886
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
881
remove
cons
121
ref
883
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
74
ref
252
ref
871
ref
appTerm
nil
cons
cons
75
ref
872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
871
remove
nil
cons
cons
58
ref
890
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
870
remove
nil
cons
cons
75
ref
869
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
868
remove
nil
cons
cons
58
ref
892
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
815
remove
106
ref
31
ref
76
ref
109
ref
appTerm
941
def
98
ref
appTerm
appTerm
98
ref
appTerm
absTerm
942
def
109
ref
appTerm
943
def
betaConv
nil
252
ref
942
ref
appTerm
944
def
axiom
nil
74
ref
944
remove
nil
cons
cons
75
ref
943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
942
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
945
def
subst
trans
sym
112
ref
eqMp
946
def
subst
eqMp
eqMp
nil
74
ref
41
ref
705
ref
appTerm
nil
cons
cons
75
ref
706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
705
remove
nil
cons
cons
42
ref
517
ref
cons
nil
cons
947
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
704
remove
nil
cons
cons
75
ref
703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
702
remove
nil
cons
cons
563
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
sym
948
def
subst
949
def
appThm
eqMp
613
ref
518
ref
45
ref
684
ref
622
ref
appTerm
appTerm
526
ref
appTerm
absTerm
950
def
526
ref
appTerm
951
def
betaConv
478
ref
547
ref
950
ref
appTerm
952
def
absTerm
953
def
481
ref
appTerm
954
def
betaConv
683
ref
684
ref
appTerm
955
def
betaConv
617
ref
0
ref
679
ref
27
ref
cons
opType
constTerm
956
def
refl
681
remove
572
ref
478
ref
573
ref
518
ref
682
remove
refl
478
ref
518
ref
526
ref
absTerm
957
def
absTerm
958
def
481
ref
appTerm
betaConv
711
ref
appThm
957
remove
526
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
21
ref
cons
959
def
nil
cons
960
def
"_1343"
0
ref
2
ref
533
ref
cons
opType
var
958
remove
nil
cons
cons
nil
cons
nil
cons
cons
800
remove
subst
eqMp
nil
74
ref
956
remove
683
ref
appTerm
nil
cons
cons
75
ref
955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
680
remove
cons
nil
cons
"p"
679
remove
var
683
remove
nil
cons
cons
nil
cons
nil
cons
cons
946
ref
subst
eqMp
eqMp
nil
74
ref
41
ref
953
ref
appTerm
nil
cons
cons
75
ref
954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
953
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
952
remove
nil
cons
cons
75
ref
951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
950
remove
nil
cons
cons
563
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
sym
961
def
subst
962
def
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
568
remove
cons
nil
cons
963
def
"P"
567
ref
var
964
def
663
ref
nil
cons
965
def
cons
"x"
566
ref
var
966
def
685
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
617
ref
0
ref
567
ref
27
ref
cons
opType
constTerm
967
def
663
remove
appTerm
nil
cons
cons
75
ref
670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"p"
567
remove
var
968
def
965
remove
cons
nil
cons
nil
cons
cons
963
ref
18
ref
cons
946
ref
subst
969
def
subst
eqMp
eqMp
nil
74
ref
41
ref
668
ref
appTerm
nil
cons
cons
75
ref
669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
668
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
667
remove
nil
cons
cons
75
ref
666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
665
remove
nil
cons
cons
561
ref
612
remove
cons
nil
cons
970
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
trans
appThm
sym
221
ref
270
ref
320
ref
"Data.Bool.\\/"
const
30
remove
constTerm
971
def
317
ref
325
ref
appTerm
972
def
318
ref
appTerm
973
def
appTerm
974
def
617
ref
331
ref
constTerm
975
def
270
ref
972
ref
"Number.Natural.suc"
const
294
ref
constTerm
976
def
271
ref
appTerm
977
def
appTerm
absTerm
appTerm
appTerm
absTerm
978
def
271
ref
appTerm
979
def
betaConv
nil
332
ref
978
ref
appTerm
980
def
axiom
981
def
nil
74
ref
980
remove
nil
cons
cons
982
def
75
ref
979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
978
ref
nil
cons
cons
983
def
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
984
def
nil
74
ref
971
ref
592
ref
appTerm
975
ref
"n'"
198
ref
var
985
def
591
ref
976
ref
985
ref
varTerm
986
def
appTerm
appTerm
absTerm
987
def
appTerm
988
def
appTerm
989
def
nil
cons
cons
990
def
75
ref
63
ref
541
remove
appTerm
661
remove
appTerm
991
def
nil
cons
992
def
cons
nil
cons
993
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
74
ref
592
ref
nil
cons
994
def
cons
995
def
993
ref
cons
nil
cons
cons
996
def
93
ref
subst
996
remove
156
ref
subst
31
ref
"_28413"
198
ref
var
997
def
63
ref
531
ref
524
ref
538
ref
997
remove
varTerm
998
def
appTerm
526
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
998
ref
appTerm
318
ref
appTerm
appTerm
481
ref
appTerm
531
ref
524
ref
538
ref
297
ref
998
remove
appTerm
597
ref
appTerm
appTerm
577
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
999
def
271
ref
appTerm
1000
def
appTerm
refl
1001
def
999
ref
318
ref
appTerm
betaConv
appThm
123
ref
1000
remove
betaConv
appThm
1002
def
63
ref
531
ref
524
ref
538
ref
318
ref
appTerm
526
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
318
ref
appTerm
318
ref
appTerm
1003
def
appTerm
1004
def
481
ref
appTerm
531
ref
524
ref
538
ref
297
ref
318
ref
appTerm
1005
def
597
ref
appTerm
1006
def
appTerm
577
ref
appTerm
appTerm
appTerm
1007
def
appTerm
appTerm
refl
appThm
trans
999
remove
refl
1008
def
592
ref
assume
1009
def
appThm
eqMp
sym
277
ref
531
ref
refl
1010
def
524
ref
refl
1011
def
nil
"f"
227
ref
var
1012
def
537
remove
nil
cons
cons
nil
cons
1013
def
nil
cons
cons
649
ref
187
ref
25
ref
0
ref
13
ref
509
remove
nil
cons
cons
opType
constTerm
1014
def
532
ref
0
ref
13
ref
0
ref
198
ref
284
ref
cons
opType
nil
cons
cons
opType
constTerm
496
ref
appTerm
1015
def
318
ref
appTerm
appTerm
15
remove
appTerm
absTerm
1016
def
496
ref
appTerm
1017
def
betaConv
nil
510
ref
1016
ref
appTerm
1018
def
axiom
nil
74
ref
1018
remove
nil
cons
cons
75
ref
1017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
512
ref
513
ref
1016
remove
nil
cons
cons
514
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1019
def
subst
subst
711
ref
appThm
nil
563
ref
nil
cons
cons
649
ref
243
ref
subst
subst
trans
appThm
1020
def
658
ref
trans
appThm
613
ref
518
ref
63
ref
531
ref
622
ref
appTerm
appTerm
481
ref
appTerm
absTerm
1021
def
526
ref
appTerm
1022
def
betaConv
478
ref
547
ref
1021
ref
appTerm
1023
def
absTerm
1024
def
481
ref
appTerm
1025
def
betaConv
nil
41
ref
1024
ref
appTerm
1026
def
axiom
nil
74
ref
1026
remove
nil
cons
cons
75
ref
1025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1024
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1023
remove
nil
cons
cons
75
ref
1022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
1021
remove
nil
cons
cons
563
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1027
def
subst
trans
appThm
nil
"z"
2
ref
var
1028
def
1007
remove
nil
cons
cons
61
ref
517
ref
cons
334
ref
444
ref
cons
1029
def
nil
cons
1030
def
cons
cons
nil
cons
cons
226
remove
283
ref
0
ref
26
ref
0
ref
20
ref
533
remove
cons
opType
nil
cons
cons
opType
constTerm
refl
245
ref
appThm
"y"
20
ref
var
1031
def
varTerm
1032
def
refl
appThm
"z"
20
ref
var
varTerm
1033
def
refl
appThm
nil
"t2"
20
ref
var
1033
remove
nil
cons
cons
"t1"
20
ref
var
1032
ref
nil
cons
1034
def
cons
nil
cons
cons
nil
cons
cons
649
ref
385
ref
63
ref
285
ref
98
ref
appTerm
1035
def
389
ref
appTerm
390
ref
appTerm
appTerm
389
ref
appTerm
absTerm
1036
def
390
remove
appTerm
1037
def
betaConv
387
ref
41
ref
1036
ref
appTerm
1038
def
absTerm
1039
def
389
remove
appTerm
1040
def
betaConv
nil
41
ref
1039
ref
appTerm
1041
def
axiom
nil
74
ref
1041
remove
nil
cons
cons
75
ref
1040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1039
remove
nil
cons
cons
397
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1038
remove
nil
cons
cons
75
ref
1037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1036
remove
nil
cons
cons
398
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1042
def
subst
subst
trans
1043
def
subst
1044
def
subst
appThm
nil
947
ref
nil
cons
cons
1045
def
245
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
994
ref
cons
1046
def
121
ref
992
ref
cons
nil
cons
1047
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
76
ref
592
ref
appTerm
1048
def
991
ref
appTerm
1049
def
nil
cons
cons
75
ref
76
ref
988
ref
appTerm
1050
def
991
ref
appTerm
1051
def
nil
cons
cons
nil
cons
1052
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
320
ref
76
ref
987
ref
325
ref
appTerm
1053
def
appTerm
1054
def
991
ref
appTerm
1055
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
1055
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1053
ref
nil
cons
1056
def
cons
1057
def
993
ref
cons
nil
cons
cons
1058
def
93
ref
subst
1058
remove
156
ref
subst
1053
ref
betaConv
1053
remove
assume
eqMp
1059
def
nil
74
ref
591
ref
976
ref
325
ref
appTerm
1060
def
appTerm
1061
def
nil
cons
1062
def
cons
1063
def
993
remove
cons
nil
cons
cons
1064
def
144
ref
subst
proveHyp
1064
ref
93
ref
subst
1064
remove
156
ref
subst
1001
remove
"_28415"
198
ref
var
1065
def
63
ref
531
ref
524
ref
538
ref
1065
remove
varTerm
1066
def
appTerm
526
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
1066
ref
appTerm
318
ref
appTerm
appTerm
481
ref
appTerm
531
ref
524
ref
538
ref
297
ref
1066
remove
appTerm
597
ref
appTerm
appTerm
577
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1060
ref
appTerm
betaConv
appThm
1002
remove
63
ref
531
ref
524
ref
538
ref
1060
ref
appTerm
526
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
1060
ref
appTerm
1067
def
318
ref
appTerm
appTerm
1068
def
481
ref
appTerm
531
ref
524
ref
538
ref
297
ref
1060
ref
appTerm
1069
def
597
ref
appTerm
1070
def
appTerm
577
ref
appTerm
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1008
remove
1061
remove
assume
1071
def
appThm
eqMp
sym
277
ref
1010
ref
1011
ref
nil
562
ref
270
ref
335
ref
cons
1072
def
1013
ref
cons
cons
nil
cons
cons
649
ref
42
ref
63
ref
1015
ref
977
ref
appTerm
46
ref
appTerm
appTerm
1073
def
1015
ref
271
ref
appTerm
1074
def
496
ref
46
ref
appTerm
appTerm
appTerm
absTerm
1075
def
46
ref
appTerm
1076
def
betaConv
270
ref
41
ref
1075
ref
appTerm
1077
def
absTerm
1078
def
271
ref
appTerm
1079
def
betaConv
187
ref
332
ref
1078
ref
appTerm
1080
def
absTerm
1081
def
496
ref
appTerm
1082
def
betaConv
nil
510
ref
1081
ref
appTerm
1083
def
axiom
nil
74
ref
1083
remove
nil
cons
cons
75
ref
1082
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
512
ref
513
ref
1081
remove
nil
cons
cons
514
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1080
remove
nil
cons
cons
75
ref
1079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1078
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1077
remove
nil
cons
cons
75
ref
1076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1075
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1084
def
subst
subst
538
ref
325
ref
appTerm
1085
def
refl
nil
562
ref
"g"
521
remove
var
557
remove
cons
"f"
534
remove
var
536
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
"B"
520
remove
cons
558
ref
960
remove
cons
1086
def
cons
18
ref
cons
42
ref
726
remove
200
ref
0
ref
714
ref
0
ref
23
ref
0
ref
2
ref
713
ref
cons
opType
1087
def
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
1088
def
"f"
714
ref
var
1089
def
varTerm
1090
def
appTerm
36
ref
appTerm
1091
def
46
ref
appTerm
appTerm
1090
ref
48
remove
appTerm
appTerm
absTerm
1092
def
46
ref
appTerm
1093
def
betaConv
24
ref
41
ref
1092
ref
appTerm
1094
def
absTerm
1095
def
36
ref
appTerm
1096
def
betaConv
1089
ref
52
ref
1095
ref
appTerm
1097
def
absTerm
1098
def
1090
ref
appTerm
1099
def
betaConv
nil
38
ref
0
ref
0
ref
714
ref
27
ref
cons
opType
1100
def
27
ref
cons
opType
constTerm
1101
def
1098
ref
appTerm
1102
def
axiom
nil
74
ref
1102
remove
nil
cons
cons
75
ref
1099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
715
remove
cons
nil
cons
1103
def
"P"
1100
remove
var
1104
def
1098
remove
nil
cons
cons
"x"
714
ref
var
1105
def
1090
ref
nil
cons
cons
nil
cons
1106
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1097
remove
nil
cons
cons
75
ref
1096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
ref
172
ref
1095
remove
nil
cons
cons
176
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1094
remove
nil
cons
cons
75
ref
1093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1092
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1107
def
subst
subst
536
ref
refl
658
ref
appThm
613
remove
518
ref
45
ref
536
ref
622
ref
appTerm
appTerm
526
ref
appTerm
absTerm
1108
def
526
ref
appTerm
1109
def
betaConv
478
ref
547
ref
1108
ref
appTerm
1110
def
absTerm
1111
def
481
ref
appTerm
1112
def
betaConv
nil
41
ref
1111
ref
appTerm
1113
def
axiom
nil
74
ref
1113
remove
nil
cons
cons
75
ref
1112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1111
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1110
remove
nil
cons
cons
75
ref
1109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
1108
remove
nil
cons
cons
563
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1114
def
subst
trans
1115
def
trans
appThm
trans
appThm
appThm
appThm
315
ref
nil
1072
ref
nil
cons
nil
cons
cons
1116
def
270
ref
324
ref
317
ref
977
ref
appTerm
1117
def
318
ref
appTerm
1118
def
appTerm
1119
def
absTerm
1120
def
271
ref
appTerm
1121
def
betaConv
nil
332
ref
1120
ref
appTerm
1122
def
axiom
nil
74
ref
1122
remove
nil
cons
cons
75
ref
1121
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1120
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1119
remove
nil
cons
cons
75
ref
31
ref
1118
ref
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
119
ref
1118
ref
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
eqMp
1123
def
subst
appThm
1124
def
493
ref
appThm
1010
ref
1011
ref
538
ref
refl
1116
ref
270
ref
317
ref
297
ref
977
ref
appTerm
597
ref
appTerm
1125
def
appTerm
271
ref
appTerm
absTerm
1126
def
271
ref
appTerm
1127
def
betaConv
nil
332
ref
1126
ref
appTerm
1128
def
axiom
nil
74
ref
1128
remove
nil
cons
cons
75
ref
1127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1126
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1129
def
subst
1130
def
appThm
577
ref
refl
appThm
appThm
appThm
appThm
nil
385
ref
531
ref
524
ref
1085
remove
577
ref
appTerm
appTerm
appTerm
nil
cons
1131
def
cons
387
ref
517
remove
cons
nil
cons
cons
nil
cons
cons
399
ref
subst
trans
appThm
nil
42
ref
1131
remove
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1062
remove
cons
1132
def
1047
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
1056
remove
cons
1133
def
1047
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
987
ref
430
ref
appTerm
appTerm
1134
def
991
ref
appTerm
absTerm
appTerm
nil
cons
cons
1052
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
987
remove
nil
cons
cons
1135
def
1047
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
nil
74
ref
82
ref
1049
remove
appTerm
1051
remove
appTerm
nil
cons
cons
75
ref
76
ref
989
remove
appTerm
1136
def
991
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"z"
26
ref
var
1137
def
992
remove
cons
57
ref
988
remove
nil
cons
cons
58
ref
994
remove
cons
nil
cons
cons
1138
def
cons
nil
cons
cons
nil
74
ref
31
ref
58
ref
varTerm
1139
def
appTerm
1140
def
337
ref
appTerm
1141
def
nil
cons
1142
def
cons
75
ref
76
ref
82
ref
76
ref
1139
ref
appTerm
1137
ref
varTerm
1143
def
appTerm
appTerm
76
ref
57
ref
varTerm
1144
def
appTerm
1145
def
1143
ref
appTerm
1146
def
appTerm
appTerm
76
ref
971
ref
1139
ref
appTerm
1144
ref
appTerm
appTerm
1143
ref
appTerm
appTerm
nil
cons
1147
def
cons
nil
cons
1148
def
cons
nil
cons
cons
1149
def
93
ref
subst
1149
remove
156
ref
subst
31
ref
"_15627"
26
ref
var
1150
def
76
ref
82
ref
76
ref
1150
remove
varTerm
1151
def
appTerm
1143
ref
appTerm
appTerm
1146
ref
appTerm
appTerm
76
ref
971
ref
1151
remove
appTerm
1144
ref
appTerm
appTerm
1143
ref
appTerm
appTerm
absTerm
1152
def
1139
ref
appTerm
1153
def
appTerm
refl
1154
def
1152
ref
337
ref
appTerm
betaConv
appThm
123
ref
1153
remove
betaConv
appThm
1155
def
76
ref
82
ref
369
ref
1143
ref
appTerm
appTerm
1146
ref
appTerm
appTerm
76
ref
971
ref
337
ref
appTerm
1156
def
1144
ref
appTerm
appTerm
1143
ref
appTerm
appTerm
refl
appThm
trans
1152
remove
refl
1157
def
1141
remove
assume
appThm
eqMp
sym
346
ref
82
ref
refl
1158
def
nil
106
ref
1143
ref
nil
cons
1159
def
cons
nil
cons
nil
cons
cons
1160
def
106
ref
31
ref
369
ref
109
ref
appTerm
appTerm
98
ref
appTerm
absTerm
1161
def
109
ref
appTerm
1162
def
betaConv
nil
252
ref
1161
ref
appTerm
1163
def
axiom
nil
74
ref
1163
remove
nil
cons
cons
75
ref
1162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1161
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1164
def
subst
appThm
1146
ref
refl
1165
def
appThm
nil
106
ref
1146
ref
nil
cons
cons
nil
cons
nil
cons
cons
1166
def
106
ref
31
ref
82
ref
98
ref
appTerm
1167
def
109
ref
appTerm
appTerm
109
ref
appTerm
absTerm
1168
def
109
ref
appTerm
1169
def
betaConv
nil
252
ref
1168
ref
appTerm
1170
def
axiom
nil
74
ref
1170
remove
nil
cons
cons
75
ref
1169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1168
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1171
def
subst
trans
appThm
346
ref
nil
106
ref
1144
ref
nil
cons
cons
nil
cons
nil
cons
cons
1172
def
106
ref
31
ref
1156
ref
109
ref
appTerm
appTerm
109
ref
appTerm
absTerm
1173
def
109
ref
appTerm
1174
def
betaConv
nil
252
ref
1173
ref
appTerm
1175
def
axiom
nil
74
ref
1175
remove
nil
cons
cons
75
ref
1174
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1173
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1176
def
subst
appThm
1143
ref
refl
1177
def
appThm
appThm
1166
remove
nil
106
ref
941
ref
109
ref
appTerm
1178
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
106
ref
1178
remove
absTerm
1179
def
109
ref
appTerm
1180
def
betaConv
nil
252
ref
1179
ref
appTerm
1181
def
axiom
nil
74
ref
1181
remove
nil
cons
cons
75
ref
1180
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1179
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
1182
def
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1142
ref
cons
121
ref
1147
ref
cons
nil
cons
1183
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
1140
remove
98
ref
appTerm
1184
def
nil
cons
1185
def
cons
1148
remove
cons
nil
cons
cons
1186
def
93
ref
subst
1186
remove
156
ref
subst
1154
remove
"_15625"
26
ref
var
1187
def
76
ref
82
ref
76
ref
1187
remove
varTerm
1188
def
appTerm
1143
ref
appTerm
appTerm
1146
ref
appTerm
appTerm
76
ref
971
ref
1188
remove
appTerm
1144
ref
appTerm
appTerm
1143
ref
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
1155
remove
76
ref
82
ref
76
ref
98
ref
appTerm
1189
def
1143
ref
appTerm
appTerm
1146
ref
appTerm
appTerm
76
ref
971
ref
98
ref
appTerm
1190
def
1144
remove
appTerm
appTerm
1143
ref
appTerm
appTerm
refl
appThm
trans
1157
remove
1184
remove
assume
appThm
eqMp
sym
346
ref
1158
ref
1160
remove
106
ref
31
ref
1189
ref
109
ref
appTerm
appTerm
109
ref
appTerm
absTerm
1191
def
109
ref
appTerm
1192
def
betaConv
nil
252
ref
1191
ref
appTerm
1193
def
axiom
nil
74
ref
1193
remove
nil
cons
cons
75
ref
1192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1191
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1194
def
subst
1195
def
appThm
1165
remove
appThm
appThm
346
ref
1172
remove
106
ref
31
ref
1190
ref
109
ref
appTerm
appTerm
98
ref
appTerm
absTerm
1196
def
109
ref
appTerm
1197
def
betaConv
nil
252
ref
1196
ref
appTerm
1198
def
axiom
nil
74
ref
1198
remove
nil
cons
cons
75
ref
1197
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1196
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1199
def
subst
appThm
1177
remove
appThm
1195
remove
trans
appThm
sym
nil
74
ref
31
ref
1143
ref
appTerm
1200
def
337
ref
appTerm
1201
def
nil
cons
1202
def
cons
75
ref
76
ref
82
ref
1143
ref
appTerm
1146
remove
appTerm
appTerm
1143
ref
appTerm
nil
cons
1203
def
cons
nil
cons
1204
def
cons
nil
cons
cons
1205
def
93
ref
subst
1205
remove
156
ref
subst
31
ref
"_15631"
26
ref
var
1206
def
76
ref
82
ref
1206
remove
varTerm
1207
def
appTerm
1145
ref
1207
ref
appTerm
appTerm
appTerm
1207
remove
appTerm
absTerm
1208
def
1143
ref
appTerm
1209
def
appTerm
refl
1210
def
1208
ref
337
ref
appTerm
betaConv
appThm
123
ref
1209
remove
betaConv
appThm
1211
def
76
ref
82
ref
337
ref
appTerm
1212
def
1145
ref
337
ref
appTerm
1213
def
appTerm
1214
def
appTerm
337
ref
appTerm
refl
appThm
trans
1208
remove
refl
1215
def
1201
remove
assume
appThm
eqMp
sym
nil
106
ref
1214
remove
nil
cons
cons
nil
cons
nil
cons
cons
106
ref
31
ref
941
remove
337
ref
appTerm
appTerm
324
ref
109
ref
appTerm
1216
def
appTerm
absTerm
1217
def
109
ref
appTerm
1218
def
betaConv
nil
252
ref
1217
ref
appTerm
1219
def
axiom
nil
74
ref
1219
remove
nil
cons
cons
75
ref
1218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1217
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1220
def
subst
324
ref
refl
1221
def
nil
106
ref
1213
remove
nil
cons
cons
nil
cons
nil
cons
cons
106
ref
31
ref
1212
ref
109
ref
appTerm
appTerm
337
ref
appTerm
absTerm
1222
def
109
ref
appTerm
1223
def
betaConv
nil
252
ref
1222
ref
appTerm
1224
def
axiom
nil
74
ref
1224
remove
nil
cons
cons
75
ref
1223
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1222
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1225
def
subst
appThm
nil
31
ref
324
ref
337
ref
appTerm
1226
def
appTerm
98
ref
appTerm
axiom
1227
def
trans
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1202
ref
cons
121
ref
1203
ref
cons
nil
cons
1228
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
1200
remove
98
ref
appTerm
1229
def
nil
cons
1230
def
cons
1204
remove
cons
nil
cons
cons
1231
def
93
ref
subst
1231
remove
156
ref
subst
1210
remove
"_15629"
26
ref
var
1232
def
76
ref
82
ref
1232
remove
varTerm
1233
def
appTerm
1145
ref
1233
ref
appTerm
appTerm
appTerm
1233
remove
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
1211
remove
76
ref
1167
ref
1145
remove
98
ref
appTerm
appTerm
1234
def
appTerm
98
ref
appTerm
refl
appThm
trans
1215
remove
1229
remove
assume
appThm
eqMp
sym
nil
106
ref
1234
remove
nil
cons
cons
nil
cons
nil
cons
cons
945
ref
subst
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1230
remove
cons
1235
def
1228
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
106
ref
971
ref
111
remove
appTerm
110
remove
337
ref
appTerm
1236
def
appTerm
absTerm
1237
def
1143
remove
appTerm
1238
def
betaConv
nil
252
ref
1237
ref
appTerm
1239
def
axiom
1240
def
nil
74
ref
1239
remove
nil
cons
cons
1241
def
75
ref
1238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1237
ref
nil
cons
cons
1242
def
58
ref
1159
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
1235
remove
121
ref
1202
remove
cons
"R"
26
ref
var
1243
def
1203
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
74
ref
76
ref
126
ref
appTerm
1244
def
1243
ref
varTerm
1245
def
appTerm
1246
def
nil
cons
cons
75
ref
1245
ref
nil
cons
1247
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
74
ref
368
ref
1245
ref
appTerm
nil
cons
cons
75
ref
76
ref
1246
remove
appTerm
1245
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
"r"
26
ref
var
1248
def
76
ref
368
ref
1248
ref
varTerm
1249
def
appTerm
appTerm
1250
def
76
ref
1244
ref
1249
ref
appTerm
appTerm
1249
ref
appTerm
appTerm
absTerm
1251
def
1245
remove
appTerm
1252
def
betaConv
31
ref
971
ref
124
ref
appTerm
1253
def
126
ref
appTerm
1254
def
appTerm
refl
75
ref
252
ref
1248
ref
1250
remove
76
ref
357
remove
1249
ref
appTerm
1255
def
appTerm
1249
ref
appTerm
1256
def
appTerm
absTerm
appTerm
absTerm
126
ref
appTerm
betaConv
appThm
102
remove
1253
remove
appTerm
refl
74
ref
75
ref
252
ref
1248
ref
76
ref
78
remove
1249
ref
appTerm
appTerm
1256
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1257
def
124
remove
appTerm
betaConv
appThm
nil
90
remove
971
ref
appTerm
1257
remove
appTerm
axiom
133
remove
appThm
eqMp
129
remove
appThm
eqMp
1258
def
1254
remove
assume
eqMp
nil
74
ref
252
ref
1251
ref
appTerm
nil
cons
cons
75
ref
1252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1251
remove
nil
cons
cons
58
ref
1247
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
1259
def
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
119
ref
1185
remove
cons
1260
def
1183
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1237
ref
1139
ref
appTerm
1261
def
betaConv
1240
ref
nil
1241
ref
75
ref
1261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
1242
ref
58
ref
1139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
1260
remove
121
ref
1142
remove
cons
1243
ref
1147
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
1262
def
subst
eqMp
eqMp
absThm
appThm
eqMp
eqMp
nil
119
ref
655
remove
cons
1263
def
121
ref
636
remove
cons
nil
cons
1264
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
651
remove
cons
1265
def
1264
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
547
ref
561
ref
76
ref
628
ref
561
ref
varTerm
1266
def
appTerm
appTerm
1267
def
635
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
629
remove
appTerm
1268
def
635
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
628
remove
nil
cons
cons
1269
def
1264
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
641
remove
cons
1270
def
1264
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
ref
42
ref
76
ref
630
ref
46
ref
appTerm
appTerm
1271
def
635
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
631
remove
appTerm
1272
def
635
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
630
remove
nil
cons
cons
1273
def
1264
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
1274
def
subst
subst
appThm
485
ref
506
ref
504
ref
appTerm
appTerm
refl
appThm
sym
565
ref
0
ref
0
ref
0
ref
500
ref
5
remove
cons
opType
1275
def
27
ref
cons
opType
1276
def
1275
ref
nil
cons
1277
def
cons
opType
constTerm
1278
def
refl
"_28517"
1275
ref
var
1279
def
572
ref
478
ref
572
ref
"b'"
2
ref
var
1280
def
nil
"b"
4
ref
var
1281
def
485
ref
506
ref
1280
ref
varTerm
1282
def
appTerm
appTerm
1283
def
nil
cons
cons
"a"
4
ref
var
1284
def
1279
ref
varTerm
503
ref
1282
ref
appTerm
1285
def
appTerm
1286
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
239
ref
277
ref
493
ref
appThm
516
ref
varTerm
1287
def
refl
appThm
1288
def
subst
1289
def
subst
absThm
appThm
absThm
appThm
absThm
appThm
505
remove
481
ref
appTerm
betaConv
appThm
nil
1280
ref
504
ref
nil
cons
cons
nil
cons
nil
cons
cons
1280
ref
182
ref
1278
remove
1279
remove
41
ref
478
ref
41
ref
1280
ref
182
ref
1286
remove
appTerm
1283
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1290
def
appTerm
1291
def
1285
ref
appTerm
appTerm
1283
ref
appTerm
absTerm
1292
def
1282
ref
appTerm
1293
def
betaConv
478
ref
41
ref
1292
ref
appTerm
1294
def
absTerm
1295
def
481
ref
appTerm
1296
def
betaConv
1290
ref
1291
remove
appTerm
1297
def
betaConv
1290
ref
"_28515"
500
ref
var
1298
def
484
ref
565
ref
0
ref
0
ref
0
ref
500
remove
3
ref
cons
opType
1299
def
27
ref
cons
opType
1299
ref
nil
cons
cons
opType
constTerm
1300
def
"fn"
1299
remove
var
1301
def
41
ref
478
ref
41
ref
516
ref
63
ref
1301
ref
varTerm
503
remove
1287
ref
appTerm
appTerm
appTerm
1302
def
481
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1303
def
1298
remove
varTerm
1304
def
appTerm
appTerm
506
ref
1300
remove
1301
remove
41
ref
478
ref
41
ref
516
ref
1302
remove
1287
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1305
def
1304
remove
appTerm
appTerm
appTerm
absTerm
1306
def
appTerm
betaConv
sym
nil
147
ref
478
ref
41
ref
1280
ref
182
ref
1306
ref
1285
ref
appTerm
1307
def
appTerm
1283
remove
appTerm
1308
def
absTerm
1309
def
appTerm
1310
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
1310
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
147
ref
1309
remove
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
1280
remove
nil
106
ref
1308
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1307
remove
betaConv
182
ref
"_28512"
2
ref
var
1311
def
485
ref
506
ref
1311
ref
varTerm
appTerm
1312
def
appTerm
absTerm
1282
ref
appTerm
1313
def
appTerm
refl
1311
ref
484
ref
1303
remove
1285
ref
appTerm
1314
def
appTerm
1315
def
1312
ref
appTerm
absTerm
1316
def
1305
remove
1285
remove
appTerm
1317
def
appTerm
betaConv
appThm
183
ref
1313
remove
betaConv
appThm
1315
remove
506
remove
1317
remove
appTerm
appTerm
refl
appThm
trans
489
ref
"_28511"
2
ref
var
1318
def
1311
remove
484
ref
1318
remove
varTerm
appTerm
1312
remove
appTerm
absTerm
absTerm
1319
def
481
ref
appTerm
1320
def
appTerm
refl
1319
ref
1314
remove
appTerm
betaConv
appThm
489
remove
refl
1320
remove
betaConv
appThm
1316
remove
refl
appThm
trans
1319
remove
refl
nil
516
remove
1282
remove
nil
cons
1321
def
cons
nil
cons
nil
cons
cons
1322
def
191
ref
948
ref
subst
subst
appThm
eqMp
1322
remove
191
remove
961
ref
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
1277
remove
cons
nil
cons
1323
def
"P"
1276
ref
var
1290
ref
nil
cons
1324
def
cons
"x"
1275
remove
var
1306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
617
ref
0
ref
1276
ref
27
ref
cons
opType
constTerm
1290
remove
appTerm
nil
cons
cons
75
ref
1297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"p"
1276
remove
var
1324
remove
cons
nil
cons
nil
cons
cons
1323
remove
18
ref
cons
946
ref
subst
subst
eqMp
eqMp
nil
74
ref
41
ref
1295
ref
appTerm
nil
cons
cons
75
ref
1296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1295
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1294
remove
nil
cons
cons
75
ref
1293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1292
remove
nil
cons
cons
42
ref
1321
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
eqMp
eqMp
1325
def
subst
appThm
485
ref
492
ref
481
ref
appTerm
appTerm
refl
appThm
sym
495
remove
492
remove
refl
1045
remove
243
remove
subst
appThm
appThm
eqMp
eqMp
1326
def
eqMp
absThm
eqMp
nil
41
ref
488
remove
appTerm
thm
180
ref
184
ref
183
ref
439
ref
refl
446
ref
270
ref
317
ref
596
remove
271
ref
appTerm
1327
def
appTerm
976
ref
"Number.Natural.bit0"
const
294
ref
constTerm
1328
def
271
ref
appTerm
1329
def
appTerm
1330
def
appTerm
absTerm
1331
def
271
ref
appTerm
1332
def
betaConv
nil
332
ref
1331
ref
appTerm
1333
def
axiom
nil
74
ref
1333
remove
nil
cons
cons
75
ref
1332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1331
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1334
def
subst
976
ref
refl
1335
def
nil
317
ref
1328
ref
318
ref
appTerm
appTerm
1336
def
318
ref
appTerm
axiom
1337
def
appThm
trans
1338
def
appThm
446
ref
270
ref
182
ref
439
ref
977
ref
appTerm
1339
def
appTerm
1340
def
"Data.Stream.tail"
const
7
ref
constTerm
1341
def
447
ref
appTerm
appTerm
absTerm
1342
def
271
ref
appTerm
1343
def
betaConv
184
ref
332
ref
1342
ref
appTerm
1344
def
absTerm
1345
def
196
ref
appTerm
1346
def
betaConv
180
ref
184
ref
429
ref
270
ref
183
ref
nil
270
ref
977
ref
nil
cons
1347
def
cons
1348
def
nil
cons
nil
cons
cons
1349
def
270
ref
448
remove
532
ref
0
ref
7
remove
0
ref
198
ref
14
ref
cons
opType
nil
cons
cons
opType
constTerm
1341
ref
appTerm
1350
def
271
ref
appTerm
1351
def
196
ref
appTerm
1352
def
appTerm
1353
def
absTerm
1354
def
271
ref
appTerm
1355
def
betaConv
1356
def
184
ref
332
ref
1354
ref
appTerm
1357
def
absTerm
1358
def
196
ref
appTerm
1359
def
betaConv
123
ref
180
ref
184
ref
429
ref
270
ref
184
ref
1354
ref
absTerm
1360
def
196
ref
appTerm
betaConv
407
ref
appThm
1356
remove
trans
1361
def
absThm
appThm
absThm
appThm
appThm
429
ref
270
ref
180
ref
184
ref
1361
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
0
ref
4
ref
286
ref
cons
opType
var
1362
def
1360
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
223
ref
cons
1363
def
214
ref
cons
18
ref
cons
"p"
0
ref
2
ref
44
remove
cons
opType
1364
def
var
1365
def
31
ref
41
ref
42
ref
547
ref
1031
ref
1365
remove
varTerm
1366
def
46
ref
appTerm
1032
ref
appTerm
1367
def
absTerm
appTerm
absTerm
appTerm
appTerm
547
ref
1031
ref
41
ref
42
ref
1367
remove
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1368
def
1366
ref
appTerm
1369
def
betaConv
nil
38
ref
0
ref
0
ref
1364
ref
27
ref
cons
opType
1370
def
27
ref
cons
opType
constTerm
1368
ref
appTerm
1371
def
axiom
nil
74
ref
1371
remove
nil
cons
cons
75
ref
1369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
1364
ref
nil
cons
cons
nil
cons
"P"
1370
remove
var
1368
remove
nil
cons
cons
"x"
1364
ref
var
1366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1372
def
subst
eqMp
sym
180
ref
184
ref
183
ref
477
ref
appThm
nil
10
remove
1341
ref
nil
cons
cons
nil
cons
1373
def
nil
cons
cons
239
ref
1019
remove
subst
subst
465
remove
appThm
nil
218
ref
nil
cons
cons
1374
def
244
remove
subst
trans
appThm
1374
remove
246
ref
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
74
ref
179
ref
184
ref
441
remove
1350
ref
318
ref
appTerm
196
ref
appTerm
appTerm
absTerm
appTerm
1375
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
179
ref
184
ref
1353
remove
absTerm
1376
def
appTerm
1377
def
appTerm
179
ref
184
ref
1340
ref
1350
remove
977
ref
appTerm
196
ref
appTerm
appTerm
absTerm
appTerm
1378
def
appTerm
1379
def
absTerm
1380
def
appTerm
1381
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
1380
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1379
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1377
ref
nil
cons
1382
def
cons
1383
def
75
ref
1378
remove
nil
cons
1384
def
cons
nil
cons
cons
nil
cons
cons
1385
def
93
ref
subst
1385
remove
156
ref
subst
180
ref
184
ref
183
ref
183
ref
1349
ref
460
ref
subst
221
ref
320
ref
379
ref
270
ref
317
ref
450
ref
977
ref
appTerm
appTerm
976
ref
451
ref
appTerm
1386
def
appTerm
absTerm
1387
def
271
ref
appTerm
1388
def
betaConv
320
ref
332
ref
1387
ref
appTerm
1389
def
absTerm
1390
def
325
ref
appTerm
1391
def
betaConv
nil
332
ref
1390
ref
appTerm
1392
def
axiom
nil
74
ref
1392
remove
nil
cons
cons
75
ref
1391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1390
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1389
remove
nil
cons
cons
75
ref
1388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1387
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1393
def
appThm
absThm
appThm
trans
appThm
nil
184
ref
1341
ref
196
ref
appTerm
1394
def
nil
cons
1395
def
cons
nil
cons
nil
cons
cons
1396
def
460
ref
subst
221
ref
320
ref
278
ref
184
ref
182
ref
1394
ref
appTerm
439
ref
597
ref
appTerm
1397
def
appTerm
absTerm
1398
def
196
ref
appTerm
1399
def
betaConv
nil
179
ref
1398
ref
appTerm
1400
def
axiom
nil
74
ref
1400
remove
nil
cons
cons
75
ref
1399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1398
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1401
def
nil
270
ref
597
ref
nil
cons
1402
def
cons
1403
def
nil
cons
nil
cons
cons
460
ref
subst
trans
221
ref
320
ref
379
ref
320
ref
317
ref
450
ref
597
ref
appTerm
1404
def
appTerm
1060
ref
appTerm
1405
def
absTerm
1406
def
325
ref
appTerm
1407
def
betaConv
429
ref
320
ref
1405
remove
assume
sym
1067
remove
1404
remove
appTerm
1408
def
assume
sym
deductAntisym
absThm
appThm
nil
332
ref
320
ref
1408
remove
absTerm
1409
def
appTerm
1410
def
axiom
1411
def
eqMp
nil
74
ref
332
ref
1406
ref
appTerm
nil
cons
cons
75
ref
1407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1406
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1412
def
appThm
absThm
appThm
trans
appThm
nil
222
ref
320
ref
207
ref
1060
ref
appTerm
1413
def
absTerm
1414
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
451
ref
refl
appThm
1414
remove
451
ref
appTerm
betaConv
trans
absThm
appThm
trans
appThm
nil
181
ref
220
ref
320
ref
207
ref
1386
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
246
ref
subst
trans
1415
def
sym
112
ref
eqMp
1416
def
1396
ref
1376
ref
196
ref
appTerm
1417
def
betaConv
nil
1383
remove
75
ref
1417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
214
ref
215
ref
1376
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
217
remove
1373
remove
cons
nil
cons
cons
1418
def
239
ref
1084
remove
subst
subst
appThm
nil
181
ref
1351
remove
1394
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
246
ref
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
1382
remove
cons
121
ref
1384
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
1375
remove
appTerm
1381
remove
appTerm
nil
cons
cons
75
ref
332
ref
270
ref
1377
remove
absTerm
1419
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
1419
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
1419
ref
271
ref
appTerm
betaConv
1420
def
appThm
1419
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
1420
remove
absThm
appThm
appThm
nil
"p"
268
ref
var
1421
def
1419
remove
nil
cons
cons
nil
cons
nil
cons
cons
1421
ref
76
ref
82
ref
1421
ref
varTerm
1422
def
318
ref
appTerm
appTerm
332
ref
270
ref
76
ref
1422
ref
271
ref
appTerm
1423
def
appTerm
1424
def
1422
ref
977
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
332
ref
270
ref
1423
ref
absTerm
1425
def
appTerm
1426
def
appTerm
absTerm
1427
def
1422
ref
appTerm
1428
def
betaConv
nil
38
ref
0
ref
331
ref
27
ref
cons
opType
constTerm
1429
def
1427
ref
appTerm
1430
def
axiom
nil
74
ref
1430
remove
nil
cons
cons
75
ref
1428
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
286
remove
cons
nil
cons
1431
def
"P"
331
remove
var
1432
def
1427
remove
nil
cons
cons
"x"
268
ref
var
1422
ref
nil
cons
cons
nil
cons
1433
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1434
def
subst
eqMp
eqMp
eqMp
1435
def
nil
74
ref
179
ref
1358
ref
appTerm
1436
def
nil
cons
cons
75
ref
1359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1358
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1357
remove
nil
cons
cons
75
ref
1355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1354
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1437
def
subst
1418
remove
239
remove
42
ref
1073
remove
496
ref
1074
ref
46
ref
appTerm
appTerm
appTerm
absTerm
1438
def
46
ref
appTerm
1439
def
betaConv
270
ref
41
ref
1438
ref
appTerm
1440
def
absTerm
1441
def
271
ref
appTerm
1442
def
betaConv
187
ref
332
ref
1441
ref
appTerm
1443
def
absTerm
1444
def
496
ref
appTerm
1445
def
betaConv
nil
510
ref
1444
ref
appTerm
1446
def
axiom
nil
74
ref
1446
remove
nil
cons
cons
75
ref
1445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
512
ref
513
ref
1444
remove
nil
cons
cons
514
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1443
remove
nil
cons
cons
75
ref
1442
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1441
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1440
remove
nil
cons
cons
75
ref
1439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1438
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1447
def
subst
subst
trans
appThm
1341
ref
refl
1448
def
1437
remove
appThm
appThm
nil
181
ref
1341
ref
1352
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
246
ref
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
1449
def
nil
74
ref
179
ref
1345
ref
appTerm
1450
def
nil
cons
cons
75
ref
1346
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1345
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1344
remove
nil
cons
cons
75
ref
1343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1342
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1448
ref
477
ref
appThm
trans
trans
appThm
1394
ref
refl
appThm
nil
181
ref
1395
remove
cons
nil
cons
nil
cons
cons
246
ref
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
179
ref
184
ref
182
ref
1397
ref
appTerm
1394
ref
appTerm
absTerm
appTerm
thm
nil
147
ref
478
ref
332
ref
270
ref
63
ref
206
ref
482
ref
appTerm
1451
def
271
ref
appTerm
appTerm
481
ref
appTerm
1452
def
absTerm
1453
def
appTerm
1454
def
absTerm
1455
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
1454
remove
nil
cons
1456
def
cons
nil
cons
nil
cons
cons
113
ref
subst
277
ref
278
ref
1326
remove
appThm
1457
def
318
ref
refl
1458
def
appThm
appThm
493
ref
appThm
sym
nil
184
ref
486
remove
nil
cons
cons
nil
cons
nil
cons
cons
1459
def
184
ref
63
ref
207
ref
318
ref
appTerm
1460
def
appTerm
1461
def
"Data.Stream.head"
const
0
ref
4
ref
3
ref
cons
opType
constTerm
1462
def
196
ref
appTerm
1463
def
appTerm
1464
def
absTerm
1465
def
196
ref
appTerm
1466
def
betaConv
180
ref
184
ref
1464
remove
assume
sym
63
ref
1463
ref
appTerm
1460
ref
appTerm
1467
def
assume
sym
deductAntisym
absThm
appThm
nil
179
ref
184
ref
1467
remove
absTerm
1468
def
appTerm
1469
def
axiom
1470
def
eqMp
nil
74
ref
179
ref
1465
ref
appTerm
nil
cons
cons
75
ref
1466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1465
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
nil
581
ref
482
remove
nil
cons
cons
585
remove
cons
nil
cons
cons
1471
def
nil
184
ref
590
ref
nil
cons
cons
nil
cons
1472
def
nil
cons
cons
1473
def
1468
ref
196
ref
appTerm
1474
def
betaConv
1470
remove
nil
74
ref
1469
remove
nil
cons
cons
75
ref
1474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1468
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1475
def
subst
278
ref
609
ref
appThm
nil
222
ref
599
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
1476
def
1458
ref
appThm
599
ref
318
ref
appTerm
betaConv
nil
1028
ref
595
ref
1006
ref
appTerm
nil
cons
cons
61
ref
606
ref
cons
1030
ref
cons
1477
def
cons
nil
cons
cons
1044
ref
subst
trans
trans
1478
def
trans
1479
def
subst
trans
eqMp
nil
74
ref
63
ref
1451
ref
318
ref
appTerm
appTerm
481
ref
appTerm
1480
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
1452
ref
appTerm
63
ref
1451
remove
977
ref
appTerm
appTerm
481
ref
appTerm
1481
def
appTerm
1482
def
absTerm
1483
def
appTerm
1484
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
1483
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1482
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1452
ref
nil
cons
1485
def
cons
75
ref
1481
remove
nil
cons
1486
def
cons
nil
cons
cons
nil
cons
cons
1487
def
93
ref
subst
1487
remove
156
ref
subst
277
ref
1457
remove
977
ref
refl
1488
def
appThm
appThm
493
remove
appThm
sym
1459
remove
270
ref
63
ref
207
ref
977
ref
appTerm
1489
def
appTerm
1490
def
206
ref
1394
ref
appTerm
1491
def
271
ref
appTerm
1492
def
appTerm
1493
def
absTerm
1494
def
271
ref
appTerm
1495
def
betaConv
184
ref
332
ref
1494
ref
appTerm
1496
def
absTerm
1497
def
196
ref
appTerm
1498
def
betaConv
180
ref
184
ref
429
ref
270
ref
277
ref
379
ref
323
ref
1409
ref
325
ref
appTerm
1499
def
betaConv
1411
remove
nil
74
ref
1410
remove
nil
cons
cons
75
ref
1499
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1409
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1500
def
appThm
nil
1403
ref
322
ref
cons
nil
cons
cons
1501
def
63
ref
452
ref
appTerm
1502
def
refl
278
ref
460
ref
appThm
nil
222
ref
453
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
325
ref
refl
1503
def
appThm
453
remove
325
ref
appTerm
betaConv
trans
appThm
nil
42
ref
452
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
1504
def
sym
112
ref
eqMp
subst
trans
appThm
278
ref
1401
ref
appThm
407
ref
appThm
appThm
nil
42
ref
206
ref
1397
remove
appTerm
271
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
1505
def
nil
74
ref
179
ref
1497
ref
appTerm
1506
def
nil
cons
cons
75
ref
1498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1497
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1496
remove
nil
cons
cons
75
ref
1495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1494
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1507
def
subst
278
ref
1471
remove
nil
269
ref
270
ref
63
ref
206
ref
1341
ref
590
ref
appTerm
1508
def
appTerm
271
ref
appTerm
appTerm
595
ref
271
ref
appTerm
1509
def
appTerm
absTerm
1510
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
277
ref
278
ref
1473
ref
1401
remove
subst
nil
1403
remove
1472
remove
cons
nil
cons
cons
460
remove
subst
trans
221
ref
320
ref
1476
remove
1412
ref
appThm
599
remove
1060
ref
appTerm
betaConv
1124
remove
587
ref
refl
1511
def
appThm
1512
def
595
ref
refl
1130
ref
appThm
appThm
nil
385
ref
595
remove
325
ref
appTerm
1513
def
nil
cons
cons
387
ref
606
remove
cons
nil
cons
1514
def
cons
nil
cons
cons
399
ref
subst
trans
trans
trans
absThm
appThm
trans
appThm
nil
222
ref
320
ref
1513
remove
absTerm
1515
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
407
ref
appThm
1515
remove
271
ref
appTerm
betaConv
trans
1516
def
appThm
1509
ref
refl
1517
def
appThm
nil
42
ref
1509
ref
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
1518
def
trans
absThm
eqMp
nil
74
ref
332
ref
1510
remove
appTerm
nil
cons
cons
75
ref
182
ref
1508
ref
appTerm
589
remove
appTerm
1519
def
nil
cons
1520
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
408
ref
608
remove
cons
409
ref
1508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
437
ref
subst
eqMp
1521
def
subst
appThm
407
ref
appThm
1452
remove
assume
trans
trans
eqMp
eqMp
nil
119
ref
1485
remove
cons
121
ref
1486
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
1480
remove
appTerm
1484
remove
appTerm
nil
cons
cons
75
ref
1456
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
1453
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
1453
ref
271
ref
appTerm
betaConv
1522
def
appThm
1453
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
1522
remove
absThm
appThm
appThm
nil
1421
ref
1453
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
41
ref
1455
remove
appTerm
thm
nil
147
ref
584
ref
179
ref
581
ref
63
ref
1462
ref
590
ref
appTerm
appTerm
587
ref
appTerm
absTerm
1523
def
appTerm
1524
def
absTerm
1525
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
584
ref
nil
106
ref
1524
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
1523
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
581
ref
277
ref
1479
remove
appThm
1511
remove
appThm
nil
607
ref
nil
cons
cons
245
ref
subst
1526
def
trans
absThm
eqMp
eqMp
absThm
eqMp
nil
41
ref
1525
remove
appTerm
thm
nil
147
ref
584
ref
179
ref
581
ref
1519
remove
absTerm
1527
def
appTerm
1528
def
absTerm
1529
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
584
ref
nil
106
ref
1528
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
1527
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
581
ref
nil
106
ref
1520
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
1521
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
41
ref
1529
remove
appTerm
thm
123
ref
180
ref
184
ref
429
ref
270
ref
184
ref
270
ref
317
ref
290
ref
"Data.Stream.take"
const
0
ref
4
ref
0
ref
198
ref
309
ref
cons
opType
nil
cons
cons
opType
constTerm
1530
def
196
ref
appTerm
1531
def
271
ref
appTerm
1532
def
appTerm
appTerm
271
ref
appTerm
1533
def
absTerm
1534
def
absTerm
1535
def
196
ref
appTerm
betaConv
407
ref
appThm
1534
ref
271
ref
appTerm
1536
def
betaConv
1537
def
trans
1538
def
absThm
appThm
absThm
appThm
appThm
429
ref
270
ref
180
ref
184
ref
1538
remove
absThm
appThm
absThm
appThm
appThm
nil
1362
ref
1535
remove
nil
cons
cons
nil
cons
nil
cons
cons
1372
ref
subst
eqMp
sym
180
ref
184
ref
317
ref
refl
1539
def
290
ref
refl
1540
def
184
ref
25
ref
0
ref
259
ref
306
remove
nil
cons
1541
def
cons
opType
constTerm
1542
def
1531
ref
318
ref
appTerm
1543
def
appTerm
1544
def
261
ref
appTerm
absTerm
1545
def
196
ref
appTerm
1546
def
betaConv
nil
179
ref
1545
ref
appTerm
1547
def
axiom
nil
74
ref
1547
remove
nil
cons
cons
75
ref
1546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1545
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1548
def
appThm
319
remove
trans
appThm
1458
ref
appThm
nil
1030
ref
nil
cons
cons
275
ref
245
ref
subst
1549
def
subst
1550
def
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
74
ref
179
ref
184
ref
317
ref
290
ref
1543
ref
appTerm
appTerm
318
ref
appTerm
absTerm
appTerm
1551
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
179
ref
184
ref
1533
remove
absTerm
1552
def
appTerm
1553
def
appTerm
179
ref
184
ref
317
ref
290
ref
1531
ref
977
ref
appTerm
1554
def
appTerm
appTerm
977
ref
appTerm
absTerm
appTerm
1555
def
appTerm
1556
def
absTerm
1557
def
appTerm
1558
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
1557
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1556
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1553
ref
nil
cons
1559
def
cons
1560
def
75
ref
1555
remove
nil
cons
1561
def
cons
nil
cons
cons
nil
cons
cons
1562
def
93
ref
subst
1562
remove
156
ref
subst
180
ref
184
ref
1539
ref
1540
remove
270
ref
1542
ref
1554
ref
appTerm
1563
def
"Data.List.::"
const
0
ref
2
ref
0
ref
259
ref
309
ref
cons
opType
nil
cons
1564
def
cons
opType
constTerm
1565
def
1463
ref
appTerm
1566
def
1530
ref
1394
ref
appTerm
1567
def
271
ref
appTerm
1568
def
appTerm
1569
def
appTerm
absTerm
1570
def
271
ref
appTerm
1571
def
betaConv
184
ref
332
ref
1570
ref
appTerm
1572
def
absTerm
1573
def
196
ref
appTerm
1574
def
betaConv
nil
179
ref
1573
ref
appTerm
1575
def
axiom
nil
74
ref
1575
remove
nil
cons
cons
75
ref
1574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1573
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1572
remove
nil
cons
cons
75
ref
1571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1570
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1576
def
appThm
nil
"t"
259
ref
var
1577
def
1568
ref
nil
cons
cons
1578
def
584
ref
1463
ref
nil
cons
1579
def
cons
nil
cons
1580
def
cons
1581
def
nil
cons
cons
1577
ref
317
ref
290
ref
1565
ref
587
ref
appTerm
1582
def
1577
ref
varTerm
1583
def
appTerm
1584
def
appTerm
appTerm
976
ref
290
ref
1583
ref
appTerm
1585
def
appTerm
1586
def
appTerm
absTerm
1587
def
1583
ref
appTerm
1588
def
betaConv
584
ref
307
ref
1587
ref
appTerm
1589
def
absTerm
1590
def
587
ref
appTerm
1591
def
betaConv
nil
41
ref
1590
ref
appTerm
1592
def
axiom
nil
74
ref
1592
remove
nil
cons
cons
75
ref
1591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1590
remove
nil
cons
cons
607
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1589
remove
nil
cons
cons
75
ref
1588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
1587
remove
nil
cons
cons
312
ref
1583
ref
nil
cons
1593
def
cons
nil
cons
1594
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1595
def
subst
1335
ref
1396
ref
1552
ref
196
ref
appTerm
1596
def
betaConv
nil
1560
remove
75
ref
1596
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
214
ref
215
ref
1552
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
trans
trans
appThm
1488
ref
appThm
nil
334
ref
1347
ref
cons
nil
cons
1597
def
nil
cons
cons
1549
ref
subst
1598
def
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
1559
remove
cons
121
ref
1561
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
1551
remove
appTerm
1558
remove
appTerm
nil
cons
cons
75
ref
332
ref
270
ref
1553
remove
absTerm
1599
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
1599
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
1599
ref
271
ref
appTerm
betaConv
1600
def
appThm
1599
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
1600
remove
absThm
appThm
appThm
nil
1421
ref
1599
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
1601
def
nil
179
ref
184
ref
332
ref
1534
ref
appTerm
1602
def
absTerm
1603
def
appTerm
1604
def
thm
180
ref
184
ref
277
ref
379
ref
1338
ref
appThm
446
ref
1507
ref
subst
trans
appThm
1396
ref
1475
ref
subst
appThm
nil
42
ref
1491
ref
318
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
179
ref
184
ref
63
ref
207
ref
597
ref
appTerm
appTerm
1462
ref
1394
ref
appTerm
appTerm
absTerm
appTerm
thm
nil
147
ref
584
ref
179
ref
581
ref
63
ref
206
ref
590
remove
appTerm
1605
def
318
ref
appTerm
appTerm
587
ref
appTerm
1606
def
absTerm
1607
def
appTerm
1608
def
absTerm
1609
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
584
ref
nil
106
ref
1608
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
1607
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
581
ref
nil
106
ref
1606
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1478
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
41
ref
1609
remove
appTerm
thm
180
ref
184
ref
1542
ref
refl
1610
def
1531
ref
refl
1611
def
1338
ref
appThm
446
ref
1576
ref
subst
1566
ref
refl
1612
def
1396
ref
1548
ref
subst
appThm
trans
trans
1613
def
appThm
1566
ref
261
ref
appTerm
1614
def
refl
appThm
nil
312
ref
1614
ref
nil
cons
cons
nil
cons
nil
cons
cons
310
ref
18
ref
cons
1615
def
245
ref
subst
1616
def
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
179
ref
184
ref
1542
ref
1531
ref
597
ref
appTerm
appTerm
1614
remove
appTerm
absTerm
appTerm
thm
1435
remove
nil
1436
remove
thm
123
ref
180
ref
184
ref
429
ref
270
ref
184
ref
270
ref
63
ref
1462
ref
447
ref
appTerm
appTerm
272
ref
appTerm
1617
def
absTerm
1618
def
absTerm
1619
def
196
ref
appTerm
betaConv
407
ref
appThm
1618
ref
271
ref
appTerm
1620
def
betaConv
1621
def
trans
1622
def
absThm
appThm
absThm
appThm
appThm
429
ref
270
ref
180
ref
184
ref
1622
remove
absThm
appThm
absThm
appThm
appThm
nil
1362
remove
1619
remove
nil
cons
cons
nil
cons
nil
cons
cons
1372
remove
subst
eqMp
sym
180
ref
184
ref
277
ref
nil
184
ref
440
ref
nil
cons
cons
nil
cons
nil
cons
cons
1475
ref
subst
278
ref
477
ref
appThm
1458
ref
appThm
trans
appThm
1460
ref
refl
1623
def
appThm
nil
42
ref
1460
ref
nil
cons
1624
def
cons
nil
cons
nil
cons
cons
245
ref
subst
1625
def
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
74
ref
179
ref
184
ref
63
ref
1462
ref
440
ref
appTerm
appTerm
1460
ref
appTerm
absTerm
appTerm
1626
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
179
ref
184
ref
1617
remove
absTerm
1627
def
appTerm
1628
def
appTerm
179
ref
184
ref
63
ref
1462
ref
1339
remove
appTerm
appTerm
1489
ref
appTerm
absTerm
appTerm
1629
def
appTerm
1630
def
absTerm
1631
def
appTerm
1632
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
1631
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1630
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1628
ref
nil
cons
1633
def
cons
1634
def
75
ref
1629
remove
nil
cons
1635
def
cons
nil
cons
cons
nil
cons
cons
1636
def
93
ref
subst
1636
remove
156
ref
subst
180
ref
184
ref
277
ref
1462
ref
refl
1416
ref
appThm
1396
ref
1627
ref
196
ref
appTerm
1637
def
betaConv
nil
1634
remove
75
ref
1637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
214
ref
215
ref
1627
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
1507
ref
appThm
nil
42
ref
1492
ref
nil
cons
1638
def
cons
nil
cons
nil
cons
cons
245
ref
subst
1639
def
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
1633
remove
cons
121
ref
1635
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
1626
remove
appTerm
1632
remove
appTerm
nil
cons
cons
75
ref
332
ref
270
ref
1628
remove
absTerm
1640
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
1640
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
1640
ref
271
ref
appTerm
betaConv
1641
def
appThm
1640
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
1641
remove
absThm
appThm
appThm
nil
1421
ref
1640
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
1642
def
nil
179
ref
184
ref
332
ref
1618
ref
appTerm
1643
def
absTerm
1644
def
appTerm
1645
def
thm
nil
215
ref
409
ref
179
ref
408
ref
25
ref
0
ref
499
ref
6
remove
opType
1646
def
0
ref
1646
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
1647
def
"Data.Stream.split"
const
0
ref
4
ref
1646
remove
nil
cons
cons
opType
1648
def
constTerm
1649
def
"Data.Stream.interleave"
const
0
ref
4
ref
14
remove
cons
opType
constTerm
410
ref
appTerm
413
ref
appTerm
1650
def
appTerm
appTerm
502
ref
0
ref
4
ref
1648
remove
nil
cons
cons
opType
constTerm
1651
def
410
ref
appTerm
413
ref
appTerm
1652
def
appTerm
1653
def
absTerm
1654
def
appTerm
1655
def
absTerm
1656
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
409
ref
nil
106
ref
1655
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
1654
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
408
ref
nil
106
ref
1653
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1647
ref
refl
nil
184
ref
1650
ref
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
1647
remove
1649
remove
196
ref
appTerm
appTerm
1651
ref
220
ref
270
ref
207
ref
"Number.Natural.*"
const
296
ref
constTerm
1657
def
1328
ref
597
ref
appTerm
1658
def
appTerm
1659
def
271
ref
appTerm
1660
def
appTerm
absTerm
appTerm
appTerm
220
ref
270
ref
207
ref
449
ref
1660
ref
appTerm
597
ref
appTerm
1661
def
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
1662
def
196
ref
appTerm
1663
def
betaConv
nil
179
ref
1662
ref
appTerm
1664
def
axiom
nil
74
ref
1664
remove
nil
cons
cons
75
ref
1663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1662
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1651
remove
refl
221
ref
270
ref
278
ref
408
ref
182
ref
1650
remove
appTerm
220
ref
270
ref
285
ref
"Number.Natural.even"
const
268
ref
constTerm
1665
def
271
ref
appTerm
1666
def
appTerm
411
ref
"Number.Natural.div"
const
296
ref
constTerm
1667
def
271
ref
appTerm
1658
ref
appTerm
1668
def
appTerm
1669
def
appTerm
414
ref
1668
remove
appTerm
1670
def
appTerm
absTerm
1671
def
appTerm
1672
def
appTerm
absTerm
1673
def
413
ref
appTerm
1674
def
betaConv
409
ref
179
ref
1673
ref
appTerm
1675
def
absTerm
1676
def
410
ref
appTerm
1677
def
betaConv
nil
179
ref
1676
ref
appTerm
1678
def
axiom
nil
74
ref
1678
remove
nil
cons
cons
75
ref
1677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1676
remove
nil
cons
cons
181
ref
423
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1675
remove
nil
cons
cons
75
ref
1674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1673
remove
nil
cons
cons
181
ref
428
ref
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
appThm
1679
def
1660
ref
refl
1680
def
appThm
absThm
appThm
appThm
221
ref
270
ref
1679
remove
1661
ref
refl
1681
def
appThm
absThm
appThm
appThm
trans
appThm
1652
remove
refl
appThm
nil
"b'"
4
ref
var
428
remove
cons
"a'"
4
ref
var
423
ref
cons
1281
ref
220
ref
270
ref
206
ref
1672
remove
appTerm
1682
def
1661
ref
appTerm
absTerm
1683
def
appTerm
1684
def
nil
cons
1685
def
cons
1284
ref
220
remove
270
ref
1682
remove
1660
ref
appTerm
absTerm
1686
def
appTerm
1687
def
nil
cons
1688
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
19
remove
574
ref
31
ref
621
remove
622
remove
appTerm
575
remove
"a'"
2
ref
var
1689
def
varTerm
1690
def
appTerm
577
ref
appTerm
appTerm
appTerm
82
ref
63
ref
481
ref
appTerm
1690
ref
appTerm
appTerm
45
remove
526
ref
appTerm
577
ref
appTerm
appTerm
appTerm
absTerm
1691
def
577
ref
appTerm
1692
def
betaConv
1689
remove
547
ref
1691
ref
appTerm
1693
def
absTerm
1694
def
1690
ref
appTerm
1695
def
betaConv
518
ref
41
ref
1694
ref
appTerm
1696
def
absTerm
1697
def
526
remove
appTerm
1698
def
betaConv
478
ref
547
ref
1697
ref
appTerm
1699
def
absTerm
1700
def
481
ref
appTerm
1701
def
betaConv
nil
41
ref
1700
ref
appTerm
1702
def
axiom
nil
74
ref
1702
remove
nil
cons
cons
75
ref
1701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1700
remove
nil
cons
cons
947
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1699
remove
nil
cons
cons
75
ref
1698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
1697
remove
nil
cons
cons
563
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1696
remove
nil
cons
cons
75
ref
1695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
1694
remove
nil
cons
cons
42
ref
1690
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1693
remove
nil
cons
cons
75
ref
1692
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
1691
remove
nil
cons
cons
970
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
trans
sym
1221
ref
1335
ref
446
ref
nil
320
ref
1327
ref
nil
cons
cons
nil
cons
nil
cons
cons
464
ref
subst
subst
appThm
446
ref
270
ref
317
ref
976
ref
1327
ref
appTerm
appTerm
1328
ref
977
ref
appTerm
1703
def
appTerm
absTerm
1704
def
271
ref
appTerm
1705
def
betaConv
1158
ref
429
ref
270
ref
1598
remove
absThm
appThm
436
ref
trans
appThm
1158
ref
317
ref
976
ref
318
ref
appTerm
1706
def
appTerm
1707
def
refl
1338
remove
appThm
nil
334
ref
1706
ref
nil
cons
cons
nil
cons
nil
cons
cons
1549
ref
subst
trans
appThm
1158
ref
429
ref
270
ref
1539
ref
1335
ref
270
ref
317
ref
1329
remove
appTerm
449
ref
271
ref
appTerm
1708
def
271
ref
appTerm
1709
def
appTerm
1710
def
absTerm
1711
def
271
ref
appTerm
1712
def
betaConv
1713
def
1539
ref
1337
remove
appThm
446
ref
270
ref
317
ref
449
ref
318
ref
appTerm
1714
def
271
ref
appTerm
1715
def
appTerm
271
ref
appTerm
absTerm
1716
def
271
ref
appTerm
1717
def
betaConv
nil
332
ref
1716
ref
appTerm
1718
def
axiom
nil
74
ref
1718
remove
nil
cons
cons
75
ref
1717
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1716
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1719
def
subst
appThm
1550
remove
trans
sym
112
ref
eqMp
nil
74
ref
1336
remove
1714
remove
318
ref
appTerm
appTerm
1720
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
1710
ref
appTerm
317
ref
1703
remove
appTerm
1721
def
449
ref
977
ref
appTerm
977
ref
appTerm
appTerm
1722
def
appTerm
1723
def
absTerm
1724
def
appTerm
1725
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
1724
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1723
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1710
ref
nil
cons
1726
def
cons
75
ref
1722
remove
nil
cons
1727
def
cons
nil
cons
cons
nil
cons
cons
1728
def
93
ref
subst
1728
remove
156
ref
subst
1539
ref
270
ref
1721
remove
976
ref
1330
ref
appTerm
appTerm
absTerm
1729
def
271
ref
appTerm
1730
def
betaConv
nil
332
ref
1729
ref
appTerm
1731
def
axiom
nil
74
ref
1731
remove
nil
cons
cons
75
ref
1730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1729
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1335
ref
1335
ref
1710
remove
assume
appThm
appThm
trans
appThm
nil
1348
remove
322
ref
cons
nil
cons
cons
270
ref
317
ref
449
ref
1060
ref
appTerm
271
ref
appTerm
1732
def
appTerm
1386
ref
appTerm
1733
def
absTerm
1734
def
271
ref
appTerm
1735
def
betaConv
320
ref
332
ref
1734
ref
appTerm
1736
def
absTerm
1737
def
325
ref
appTerm
1738
def
betaConv
nil
332
ref
1737
ref
appTerm
1739
def
axiom
1740
def
nil
74
ref
1739
remove
nil
cons
cons
75
ref
1738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1737
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1736
remove
nil
cons
cons
75
ref
1735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1734
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1741
def
subst
1742
def
1335
ref
323
remove
1393
ref
subst
appThm
1743
def
trans
appThm
nil
334
ref
976
ref
976
ref
1709
remove
appTerm
1744
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1549
ref
subst
1745
def
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
1726
remove
cons
121
ref
1727
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
1720
remove
appTerm
1725
remove
appTerm
nil
cons
cons
75
ref
332
ref
1711
ref
appTerm
nil
cons
1746
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
1711
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
1713
ref
appThm
1711
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
1713
remove
absThm
appThm
appThm
nil
1421
ref
1711
remove
nil
cons
1747
def
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
nil
74
ref
1746
remove
cons
75
ref
1712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1747
remove
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1748
def
appThm
1749
def
appThm
1334
remove
1749
remove
trans
1750
def
appThm
nil
334
ref
1744
remove
nil
cons
cons
nil
cons
nil
cons
cons
1549
ref
subst
trans
absThm
appThm
436
ref
trans
appThm
429
ref
270
ref
1539
ref
1335
ref
1750
remove
appThm
appThm
1349
remove
1748
remove
subst
1742
remove
trans
1743
remove
trans
appThm
1745
remove
trans
absThm
appThm
436
ref
trans
appThm
248
ref
1171
ref
subst
1751
def
trans
appThm
1751
ref
trans
appThm
1751
ref
trans
sym
112
ref
eqMp
nil
119
ref
332
ref
270
ref
1117
remove
977
ref
appTerm
absTerm
appTerm
nil
cons
cons
121
ref
82
ref
1707
remove
597
ref
appTerm
1752
def
appTerm
82
ref
332
ref
270
ref
317
ref
1330
remove
appTerm
1327
remove
appTerm
absTerm
appTerm
1753
def
appTerm
332
ref
1704
ref
appTerm
1754
def
appTerm
1755
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
365
ref
subst
proveHyp
1756
def
nil
119
ref
1752
remove
nil
cons
cons
121
ref
1755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1757
def
365
ref
subst
proveHyp
nil
119
ref
1753
remove
nil
cons
cons
121
ref
1754
remove
nil
cons
1758
def
cons
nil
cons
cons
nil
cons
cons
365
ref
subst
proveHyp
nil
74
ref
1758
remove
cons
75
ref
1705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1704
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1328
remove
refl
1756
remove
1757
remove
135
ref
subst
proveHyp
appThm
trans
trans
1759
def
nil
320
ref
1402
ref
cons
270
ref
1658
ref
nil
cons
1760
def
cons
"p"
198
ref
var
1761
def
444
ref
cons
nil
cons
cons
cons
nil
cons
cons
31
ref
"_9306"
198
ref
var
1762
def
31
ref
317
ref
1762
remove
varTerm
appTerm
1761
ref
varTerm
1763
def
appTerm
appTerm
337
ref
appTerm
absTerm
1764
def
271
ref
appTerm
1765
def
appTerm
refl
1764
ref
976
ref
450
ref
1763
ref
appTerm
1766
def
appTerm
1767
def
appTerm
betaConv
appThm
123
ref
1765
remove
betaConv
appThm
31
ref
317
ref
1767
ref
appTerm
1768
def
1763
ref
appTerm
1769
def
appTerm
337
ref
appTerm
refl
appThm
trans
1764
remove
refl
1768
ref
271
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
106
ref
1769
remove
nil
cons
cons
nil
cons
nil
cons
cons
106
ref
31
ref
1236
remove
appTerm
1216
ref
appTerm
absTerm
1770
def
109
ref
appTerm
1771
def
betaConv
nil
252
ref
1770
ref
appTerm
1772
def
axiom
nil
74
ref
1772
remove
nil
cons
cons
75
ref
1771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1770
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1221
ref
nil
270
ref
1763
ref
nil
cons
1773
def
cons
320
ref
1767
ref
nil
cons
1774
def
cons
nil
cons
cons
nil
cons
cons
1775
def
270
ref
31
ref
972
ref
271
ref
appTerm
1776
def
appTerm
82
ref
"Number.Natural.<="
const
287
ref
constTerm
1777
def
325
ref
appTerm
1778
def
271
ref
appTerm
1779
def
appTerm
1780
def
1777
ref
271
ref
appTerm
1781
def
325
ref
appTerm
1782
def
appTerm
1783
def
appTerm
1784
def
absTerm
1785
def
271
ref
appTerm
1786
def
betaConv
320
ref
332
ref
1785
ref
appTerm
1787
def
absTerm
1788
def
325
ref
appTerm
1789
def
betaConv
429
ref
320
ref
429
ref
270
ref
1784
remove
assume
sym
31
ref
1783
remove
appTerm
1776
ref
appTerm
1790
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
332
ref
320
ref
332
ref
270
ref
1790
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
74
ref
332
ref
1788
ref
appTerm
nil
cons
cons
75
ref
1789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1788
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1787
remove
nil
cons
cons
75
ref
1786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1785
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
nil
"t2"
26
ref
var
1791
def
1777
ref
1763
ref
appTerm
1767
ref
appTerm
nil
cons
cons
"t1"
26
ref
var
1792
def
1777
ref
1767
remove
appTerm
1763
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1791
ref
31
ref
324
ref
82
ref
1792
ref
varTerm
1793
def
appTerm
1791
ref
varTerm
1794
def
appTerm
appTerm
appTerm
971
ref
324
ref
1793
ref
appTerm
1795
def
appTerm
324
ref
1794
ref
appTerm
1796
def
appTerm
appTerm
absTerm
1797
def
1794
ref
appTerm
1798
def
betaConv
1792
ref
252
ref
1797
ref
appTerm
1799
def
absTerm
1800
def
1793
ref
appTerm
1801
def
betaConv
nil
252
ref
1800
ref
appTerm
1802
def
axiom
nil
74
ref
1802
remove
nil
cons
cons
75
ref
1801
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1800
remove
nil
cons
cons
58
ref
1793
ref
nil
cons
cons
nil
cons
1803
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1799
remove
nil
cons
cons
75
ref
1798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1797
remove
nil
cons
cons
58
ref
1794
ref
nil
cons
cons
nil
cons
1804
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
trans
sym
971
ref
refl
1805
def
1775
ref
270
ref
31
ref
324
ref
1779
ref
appTerm
1806
def
appTerm
289
ref
325
ref
appTerm
1807
def
appTerm
1808
def
absTerm
1809
def
271
ref
appTerm
1810
def
betaConv
320
ref
332
ref
1809
ref
appTerm
1811
def
absTerm
1812
def
325
ref
appTerm
1813
def
betaConv
nil
332
ref
1812
ref
appTerm
1814
def
axiom
1815
def
nil
74
ref
1814
remove
nil
cons
cons
75
ref
1813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1812
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1811
remove
nil
cons
cons
75
ref
1810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1809
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1816
def
subst
nil
270
ref
1774
remove
cons
320
ref
1773
ref
cons
nil
cons
1817
def
cons
nil
cons
cons
1818
def
270
ref
31
ref
326
ref
271
ref
appTerm
1819
def
appTerm
1820
def
975
ref
"d"
198
ref
var
1821
def
591
ref
450
ref
976
ref
1821
ref
varTerm
1822
def
appTerm
1823
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1824
def
271
ref
appTerm
1825
def
betaConv
320
ref
332
ref
1824
ref
appTerm
1826
def
absTerm
1827
def
325
ref
appTerm
1828
def
betaConv
nil
332
ref
1827
ref
appTerm
1829
def
axiom
nil
74
ref
1829
remove
nil
cons
cons
75
ref
1828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1827
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1826
remove
nil
cons
cons
75
ref
1825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1824
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1830
def
subst
trans
975
ref
refl
1831
def
1821
ref
1768
ref
refl
nil
270
ref
1822
ref
nil
cons
1832
def
cons
1833
def
1817
remove
cons
nil
cons
cons
1393
ref
subst
appThm
absThm
appThm
trans
appThm
1818
remove
1816
remove
subst
1775
remove
1830
ref
subst
trans
1831
ref
1821
ref
317
ref
1763
ref
appTerm
1834
def
refl
nil
270
ref
1823
ref
nil
cons
cons
1835
def
320
ref
1766
ref
nil
cons
1836
def
cons
nil
cons
1837
def
cons
nil
cons
cons
1741
ref
subst
1335
ref
nil
1833
ref
1837
remove
cons
nil
cons
cons
1393
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
74
ref
971
ref
975
ref
1821
ref
1768
ref
976
ref
449
ref
1763
ref
appTerm
1838
def
1822
ref
appTerm
appTerm
appTerm
1839
def
absTerm
1840
def
appTerm
1841
def
appTerm
975
ref
1821
ref
1834
remove
976
ref
976
ref
449
ref
1766
ref
appTerm
1822
ref
appTerm
appTerm
appTerm
appTerm
1842
def
absTerm
1843
def
appTerm
1844
def
appTerm
1845
def
nil
cons
cons
nil
cons
nil
cons
cons
347
ref
refl
1846
def
nil
106
ref
324
ref
77
ref
appTerm
1847
def
nil
cons
1848
def
cons
nil
cons
nil
cons
cons
1220
ref
subst
appThm
sym
1846
remove
108
ref
106
ref
31
ref
324
ref
1216
ref
appTerm
appTerm
109
ref
appTerm
absTerm
1849
def
109
ref
appTerm
1850
def
betaConv
nil
252
ref
1849
ref
appTerm
1851
def
axiom
nil
74
ref
1851
remove
nil
cons
cons
75
ref
1850
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1849
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1852
def
subst
1853
def
appThm
nil
58
ref
107
ref
cons
nil
cons
1854
def
nil
cons
cons
60
remove
245
ref
subst
1855
def
subst
trans
sym
112
ref
eqMp
eqMp
1856
def
subst
sym
nil
74
ref
324
ref
1845
remove
appTerm
1857
def
nil
cons
1858
def
cons
345
ref
cons
nil
cons
cons
1859
def
93
ref
subst
1859
remove
156
ref
subst
nil
332
ref
320
ref
332
ref
270
ref
317
ref
451
ref
appTerm
1708
ref
325
ref
appTerm
appTerm
absTerm
1860
def
appTerm
1861
def
absTerm
1862
def
appTerm
1863
def
axiom
1864
def
nil
74
ref
1863
remove
nil
cons
1865
def
cons
1866
def
345
ref
cons
nil
cons
cons
1867
def
144
ref
subst
proveHyp
1867
ref
93
ref
subst
1867
remove
156
ref
subst
nil
"_9309"
198
ref
var
1868
def
1773
ref
cons
"_9308"
198
ref
var
1869
def
335
ref
cons
nil
cons
cons
nil
cons
cons
270
ref
317
ref
449
ref
1869
remove
varTerm
1870
def
appTerm
271
ref
appTerm
appTerm
1708
ref
1870
ref
appTerm
appTerm
absTerm
1871
def
1868
remove
varTerm
1872
def
appTerm
1873
def
betaConv
1862
ref
1870
ref
appTerm
1874
def
betaConv
nil
1866
ref
75
ref
1874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
1862
ref
nil
cons
cons
1875
def
334
ref
1870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
332
ref
1871
ref
appTerm
nil
cons
cons
75
ref
1873
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1871
remove
nil
cons
cons
334
ref
1872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
nil
74
ref
317
ref
1766
ref
appTerm
1876
def
1838
ref
325
ref
appTerm
1877
def
appTerm
nil
cons
cons
75
ref
1768
ref
976
ref
1877
ref
appTerm
appTerm
nil
cons
1878
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"_9313"
198
ref
var
1879
def
1877
remove
nil
cons
cons
"_9312"
198
ref
var
1880
def
1836
remove
cons
nil
cons
cons
nil
cons
cons
nil
74
ref
317
ref
1880
remove
varTerm
1881
def
appTerm
1879
remove
varTerm
1882
def
appTerm
1883
def
nil
cons
1884
def
cons
75
ref
317
ref
976
ref
1881
remove
appTerm
appTerm
976
ref
1882
remove
appTerm
appTerm
nil
cons
1885
def
cons
nil
cons
cons
nil
cons
cons
1886
def
93
ref
subst
1886
remove
156
ref
subst
1335
ref
1883
remove
assume
appThm
eqMp
nil
119
ref
1884
remove
cons
121
ref
1885
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
74
ref
1878
remove
cons
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"_9310"
198
ref
var
1887
def
335
ref
cons
nil
cons
nil
cons
cons
nil
74
ref
1768
remove
976
ref
1838
remove
1887
remove
varTerm
1888
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
31
ref
1847
ref
appTerm
refl
108
remove
1220
ref
subst
appThm
nil
58
ref
1848
remove
cons
nil
cons
nil
cons
cons
1855
ref
subst
trans
sym
112
ref
eqMp
1889
def
subst
1821
ref
324
ref
1839
remove
appTerm
absTerm
1890
def
1888
ref
appTerm
1891
def
betaConv
nil
74
ref
1841
remove
nil
cons
cons
75
ref
1844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
74
ref
347
ref
337
ref
appTerm
1892
def
nil
cons
1893
def
cons
1894
def
75
ref
31
ref
324
ref
971
ref
77
ref
appTerm
1895
def
79
ref
appTerm
appTerm
appTerm
82
ref
1847
ref
appTerm
1896
def
324
ref
79
ref
appTerm
1897
def
appTerm
appTerm
nil
cons
1898
def
cons
nil
cons
1899
def
cons
nil
cons
cons
1900
def
93
ref
subst
1900
remove
156
ref
subst
31
ref
"_534"
26
ref
var
1901
def
31
ref
324
ref
971
ref
1901
remove
varTerm
1902
def
appTerm
79
ref
appTerm
appTerm
appTerm
82
ref
324
ref
1902
remove
appTerm
appTerm
1897
ref
appTerm
appTerm
absTerm
1903
def
77
ref
appTerm
1904
def
appTerm
refl
1905
def
1903
ref
337
ref
appTerm
betaConv
appThm
123
ref
1904
remove
betaConv
appThm
1906
def
31
ref
324
ref
1156
ref
79
ref
appTerm
appTerm
appTerm
82
ref
1226
ref
appTerm
1907
def
1897
ref
appTerm
appTerm
refl
appThm
trans
1903
remove
refl
1908
def
1892
remove
assume
1909
def
appThm
eqMp
sym
123
ref
1221
ref
116
ref
1176
ref
subst
1910
def
appThm
appThm
1158
ref
1227
ref
appThm
1911
def
1897
ref
refl
1912
def
appThm
nil
106
ref
1897
ref
nil
cons
1913
def
cons
nil
cons
nil
cons
cons
1914
def
1171
ref
subst
1915
def
trans
appThm
nil
58
ref
1913
remove
cons
nil
cons
nil
cons
cons
1855
ref
subst
1916
def
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1893
ref
cons
1917
def
121
ref
1898
ref
cons
nil
cons
1918
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
347
remove
98
ref
appTerm
1919
def
nil
cons
1920
def
cons
1921
def
1899
remove
cons
nil
cons
cons
1922
def
93
ref
subst
1922
remove
156
ref
subst
1905
remove
"_532"
26
ref
var
1923
def
31
ref
324
ref
971
ref
1923
remove
varTerm
1924
def
appTerm
79
ref
appTerm
appTerm
appTerm
82
ref
324
ref
1924
remove
appTerm
appTerm
1897
ref
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
1906
remove
31
ref
324
ref
1190
ref
79
ref
appTerm
appTerm
appTerm
82
ref
324
ref
98
ref
appTerm
1925
def
appTerm
1926
def
1897
ref
appTerm
appTerm
refl
appThm
trans
1908
remove
1919
remove
assume
1927
def
appThm
eqMp
sym
123
ref
1221
ref
116
ref
1199
ref
subst
1928
def
appThm
nil
31
ref
1925
ref
appTerm
337
ref
appTerm
axiom
1929
def
trans
appThm
1158
ref
1929
ref
appThm
1930
def
1912
remove
appThm
1914
ref
1225
ref
subst
1931
def
trans
appThm
nil
106
ref
344
ref
cons
nil
cons
nil
cons
cons
1932
def
106
ref
31
ref
373
ref
109
ref
appTerm
appTerm
1216
ref
appTerm
absTerm
1933
def
109
ref
appTerm
1934
def
betaConv
nil
252
ref
1933
ref
appTerm
1935
def
axiom
nil
74
ref
1935
remove
nil
cons
cons
75
ref
1934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
1933
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1936
def
subst
1227
ref
trans
1937
def
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
1920
remove
cons
1938
def
1918
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1237
ref
77
ref
appTerm
1939
def
betaConv
1240
ref
nil
1241
ref
75
ref
1939
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
1242
ref
1854
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
1940
def
nil
1938
ref
121
ref
1893
remove
cons
1941
def
1243
ref
1898
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
subst
1158
ref
nil
269
ref
1840
ref
nil
cons
cons
nil
cons
nil
cons
cons
275
ref
123
ref
1221
ref
810
ref
nil
811
remove
830
ref
cons
nil
cons
nil
cons
cons
814
remove
467
ref
33
remove
468
ref
appTerm
469
remove
appTerm
1942
def
absTerm
1943
def
468
remove
appTerm
1944
def
betaConv
56
ref
467
remove
1942
remove
assume
sym
470
remove
assume
sym
deductAntisym
absThm
appThm
474
remove
eqMp
nil
74
ref
52
ref
1943
ref
appTerm
nil
cons
cons
75
ref
1944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
ref
172
ref
1943
remove
nil
cons
cons
475
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
1945
def
appThm
appThm
appThm
41
ref
42
ref
324
ref
153
ref
appTerm
1946
def
absTerm
1947
def
appTerm
refl
appThm
sym
nil
158
ref
830
ref
cons
nil
cons
nil
cons
cons
1948
def
158
ref
31
ref
324
ref
817
ref
appTerm
appTerm
41
ref
42
ref
324
ref
753
ref
appTerm
absTerm
1949
def
appTerm
appTerm
absTerm
1950
def
159
ref
appTerm
1951
def
betaConv
nil
852
ref
1950
ref
appTerm
1952
def
axiom
nil
74
ref
1952
remove
nil
cons
cons
75
ref
1951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
1950
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
subst
1953
def
subst
429
ref
1821
ref
1221
ref
1840
remove
1822
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
269
ref
1843
ref
nil
cons
cons
nil
cons
nil
cons
cons
1953
remove
subst
429
ref
1821
ref
1221
ref
1843
remove
1822
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
1857
remove
assume
eqMp
nil
119
ref
332
ref
1890
ref
appTerm
nil
cons
1954
def
cons
121
ref
332
ref
1821
ref
324
ref
1842
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
74
ref
1954
remove
cons
75
ref
1891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1890
remove
nil
cons
cons
334
ref
1888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
119
ref
1865
remove
cons
121
ref
344
ref
cons
nil
cons
1955
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
1858
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
1759
remove
eqMp
appThm
1227
ref
trans
sym
112
ref
eqMp
nil
269
ref
270
ref
63
ref
206
ref
1687
ref
appTerm
271
ref
appTerm
appTerm
412
ref
appTerm
1956
def
absTerm
1957
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1956
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
277
ref
nil
222
ref
1686
remove
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
270
ref
nil
222
ref
1671
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
1958
def
1680
remove
appThm
1671
remove
1660
ref
appTerm
betaConv
315
ref
nil
106
ref
1665
remove
1660
ref
appTerm
1959
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
1959
remove
absTerm
1960
def
271
ref
appTerm
1961
def
betaConv
nil
332
ref
1960
ref
appTerm
1962
def
axiom
nil
74
ref
1962
remove
nil
cons
cons
75
ref
1961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1960
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
appThm
411
ref
1667
ref
1660
ref
appTerm
1658
ref
appTerm
1963
def
appTerm
1964
def
refl
appThm
414
ref
1963
ref
appTerm
1965
def
refl
appThm
nil
385
ref
1965
remove
nil
cons
cons
387
ref
1964
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1042
ref
subst
trans
trans
trans
absThm
trans
407
ref
appThm
270
ref
1964
remove
absTerm
271
ref
appTerm
betaConv
trans
appThm
412
remove
refl
appThm
sym
411
ref
refl
nil
74
ref
324
ref
317
ref
1658
ref
appTerm
318
ref
appTerm
1966
def
appTerm
1967
def
nil
cons
cons
1968
def
75
ref
317
ref
1963
remove
appTerm
271
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
320
ref
1760
ref
cons
nil
cons
1969
def
nil
cons
cons
270
ref
76
ref
324
ref
973
remove
appTerm
appTerm
317
ref
1667
ref
1657
ref
325
ref
appTerm
1970
def
271
ref
appTerm
1971
def
appTerm
325
ref
appTerm
appTerm
271
ref
appTerm
appTerm
absTerm
1972
def
271
ref
appTerm
1973
def
betaConv
320
ref
332
ref
1972
ref
appTerm
1974
def
absTerm
1975
def
325
ref
appTerm
1976
def
betaConv
nil
332
ref
1975
ref
appTerm
1977
def
axiom
nil
74
ref
1977
remove
nil
cons
cons
75
ref
1976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1975
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1974
remove
nil
cons
cons
75
ref
1973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1972
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
appThm
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
1957
remove
appTerm
nil
cons
cons
75
ref
182
ref
1687
remove
appTerm
410
ref
appTerm
nil
cons
1978
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
408
ref
423
remove
cons
409
ref
1688
remove
cons
nil
cons
cons
nil
cons
cons
437
ref
subst
eqMp
nil
74
ref
1978
remove
cons
75
ref
182
ref
1684
ref
appTerm
413
ref
appTerm
nil
cons
cons
nil
cons
1979
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
270
ref
63
ref
206
ref
1684
remove
appTerm
271
ref
appTerm
appTerm
415
ref
appTerm
1980
def
absTerm
1981
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
1980
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
277
ref
nil
222
ref
1683
remove
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
270
ref
1958
remove
270
ref
315
ref
270
ref
31
ref
1666
ref
appTerm
324
ref
"Number.Natural.odd"
const
268
ref
constTerm
1982
def
271
ref
appTerm
1983
def
appTerm
1984
def
appTerm
1985
def
absTerm
1986
def
271
ref
appTerm
1987
def
betaConv
429
ref
270
ref
1985
remove
assume
sym
31
ref
1984
ref
appTerm
1666
remove
appTerm
1988
def
assume
sym
deductAntisym
absThm
appThm
nil
332
ref
270
ref
1988
remove
absTerm
appTerm
axiom
eqMp
nil
74
ref
332
ref
1986
ref
appTerm
nil
cons
cons
75
ref
1987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1986
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
appThm
1669
ref
refl
appThm
1670
ref
refl
appThm
absThm
trans
1681
ref
appThm
270
ref
285
ref
1984
remove
appTerm
1669
remove
appTerm
1670
remove
appTerm
absTerm
1661
ref
appTerm
betaConv
trans
absThm
trans
407
ref
appThm
270
ref
285
ref
324
ref
1982
ref
1661
ref
appTerm
1989
def
appTerm
appTerm
411
remove
1667
ref
1661
ref
appTerm
1990
def
1658
ref
appTerm
1991
def
appTerm
1992
def
appTerm
414
ref
1991
ref
appTerm
1993
def
appTerm
absTerm
271
ref
appTerm
betaConv
trans
appThm
415
ref
refl
1994
def
appThm
sym
1982
ref
refl
nil
320
ref
1660
ref
nil
cons
1995
def
cons
nil
cons
nil
cons
cons
1412
remove
subst
appThm
nil
106
ref
1982
remove
976
ref
1660
ref
appTerm
appTerm
1996
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
1996
remove
absTerm
1997
def
271
ref
appTerm
1998
def
betaConv
nil
332
ref
1997
ref
appTerm
1999
def
axiom
nil
74
ref
1999
remove
nil
cons
cons
75
ref
1998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1997
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
trans
sym
112
ref
eqMp
31
ref
"_28397"
26
ref
var
2000
def
63
ref
285
ref
324
ref
2000
remove
varTerm
appTerm
appTerm
1992
ref
appTerm
1993
ref
appTerm
appTerm
415
ref
appTerm
absTerm
2001
def
1989
ref
appTerm
2002
def
appTerm
refl
2001
ref
98
ref
appTerm
betaConv
appThm
123
ref
2002
remove
betaConv
appThm
63
ref
285
ref
1925
ref
appTerm
1992
ref
appTerm
1993
ref
appTerm
appTerm
415
ref
appTerm
refl
appThm
trans
2001
remove
refl
nil
106
ref
1989
ref
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1989
remove
assume
2003
def
eqMp
appThm
eqMp
sym
277
ref
315
ref
1929
ref
appThm
1992
ref
refl
appThm
1993
ref
refl
appThm
nil
385
ref
1993
remove
nil
cons
cons
387
ref
1992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
399
ref
subst
trans
appThm
1994
remove
appThm
sym
414
remove
refl
1761
ref
31
ref
317
ref
1659
ref
1991
ref
appTerm
appTerm
2004
def
1659
remove
1763
ref
appTerm
2005
def
appTerm
appTerm
971
ref
1966
ref
appTerm
2006
def
317
ref
1991
ref
appTerm
2007
def
1763
ref
appTerm
appTerm
appTerm
absTerm
2008
def
271
ref
appTerm
2009
def
betaConv
270
ref
332
ref
1761
ref
31
ref
317
ref
1660
ref
appTerm
2005
remove
appTerm
appTerm
2006
ref
591
ref
1763
ref
appTerm
2010
def
appTerm
appTerm
absTerm
appTerm
absTerm
2011
def
1991
ref
appTerm
2012
def
betaConv
320
ref
332
ref
270
ref
332
ref
1761
ref
31
ref
317
ref
1971
remove
appTerm
2013
def
1970
remove
1763
ref
appTerm
appTerm
appTerm
974
remove
2010
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2014
def
1658
ref
appTerm
2015
def
betaConv
nil
332
ref
2014
ref
appTerm
2016
def
axiom
nil
74
ref
2016
remove
nil
cons
cons
75
ref
2015
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2014
remove
nil
cons
cons
334
ref
1760
remove
cons
nil
cons
2017
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
332
ref
2011
ref
appTerm
nil
cons
cons
75
ref
2012
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2011
remove
nil
cons
cons
334
ref
1991
ref
nil
cons
2018
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
332
ref
2008
ref
appTerm
nil
cons
cons
75
ref
2009
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2008
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
31
ref
2004
ref
1660
ref
appTerm
2019
def
appTerm
2020
def
2006
remove
2007
remove
271
ref
appTerm
2021
def
appTerm
appTerm
nil
cons
cons
75
ref
2021
ref
nil
cons
2022
def
cons
nil
cons
2023
def
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
2020
ref
refl
1805
ref
nil
1968
remove
75
ref
31
ref
1966
ref
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
119
ref
1966
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
eqMp
2024
def
appThm
2021
ref
refl
2025
def
appThm
nil
106
ref
2022
ref
cons
nil
cons
nil
cons
cons
1176
ref
subst
trans
appThm
appThm
2025
remove
appThm
sym
nil
74
ref
2020
remove
2021
remove
appTerm
2026
def
nil
cons
2027
def
cons
2023
remove
cons
nil
cons
cons
2028
def
93
ref
subst
2028
remove
156
ref
subst
2026
remove
assume
985
ref
76
ref
324
ref
317
ref
986
ref
appTerm
318
ref
appTerm
appTerm
appTerm
317
ref
449
ref
1657
ref
1990
remove
986
ref
appTerm
appTerm
986
ref
appTerm
appTerm
"Number.Natural.mod"
const
296
ref
constTerm
2029
def
1661
ref
appTerm
2030
def
986
ref
appTerm
appTerm
appTerm
1661
ref
appTerm
appTerm
absTerm
2031
def
1658
ref
appTerm
2032
def
betaConv
320
ref
332
ref
270
ref
76
ref
324
ref
592
ref
appTerm
2033
def
appTerm
317
ref
449
ref
1657
ref
1667
remove
325
ref
appTerm
271
ref
appTerm
appTerm
271
ref
appTerm
appTerm
2029
ref
325
ref
appTerm
271
ref
appTerm
appTerm
appTerm
325
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2034
def
1661
ref
appTerm
2035
def
betaConv
nil
332
ref
2034
ref
appTerm
2036
def
axiom
nil
74
ref
2036
remove
nil
cons
cons
75
ref
2035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2034
remove
nil
cons
cons
334
ref
1661
ref
nil
cons
2037
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
332
ref
2031
ref
appTerm
nil
cons
cons
75
ref
2032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2031
remove
nil
cons
cons
2017
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
1967
remove
appTerm
317
ref
449
ref
1657
ref
1991
remove
appTerm
1658
ref
appTerm
2038
def
appTerm
2039
def
2030
remove
1658
ref
appTerm
appTerm
appTerm
1661
remove
appTerm
appTerm
nil
cons
cons
75
ref
2019
ref
nil
cons
2040
def
cons
nil
cons
2041
def
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
346
ref
1221
ref
2024
remove
appThm
1227
ref
trans
appThm
1539
ref
2039
remove
refl
nil
270
ref
2037
remove
cons
nil
cons
nil
cons
cons
270
ref
31
ref
1983
remove
appTerm
317
ref
2029
remove
271
ref
appTerm
1658
remove
appTerm
appTerm
597
ref
appTerm
appTerm
absTerm
2042
def
271
ref
appTerm
2043
def
betaConv
nil
332
ref
2042
ref
appTerm
2044
def
axiom
nil
74
ref
2044
remove
nil
cons
cons
75
ref
2043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2042
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
2003
remove
eqMp
appThm
appThm
1681
remove
appThm
nil
270
ref
1995
remove
cons
1761
ref
1402
remove
cons
320
ref
2038
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
270
ref
31
ref
1876
remove
1708
ref
1763
ref
appTerm
2045
def
appTerm
appTerm
1776
ref
appTerm
absTerm
2046
def
271
ref
appTerm
2047
def
betaConv
320
ref
332
ref
2046
ref
appTerm
2048
def
absTerm
2049
def
325
ref
appTerm
2050
def
betaConv
1761
ref
332
ref
2049
ref
appTerm
2051
def
absTerm
2052
def
1763
ref
appTerm
2053
def
betaConv
nil
332
ref
2052
ref
appTerm
2054
def
axiom
nil
74
ref
2054
remove
nil
cons
cons
75
ref
2053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2052
remove
nil
cons
cons
334
ref
1773
remove
cons
nil
cons
2055
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2051
remove
nil
cons
cons
75
ref
2050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2049
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2048
remove
nil
cons
cons
75
ref
2047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2046
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
106
ref
317
ref
2038
remove
appTerm
1660
remove
appTerm
2056
def
nil
cons
2057
def
cons
nil
cons
nil
cons
cons
1194
ref
subst
trans
appThm
2019
remove
refl
appThm
sym
nil
74
ref
2057
ref
cons
2041
remove
cons
nil
cons
cons
2058
def
93
ref
subst
2058
remove
156
ref
subst
2004
remove
refl
2056
remove
assume
sym
appThm
sym
nil
270
ref
2018
remove
cons
1969
remove
cons
nil
cons
cons
270
ref
2013
remove
1657
remove
271
ref
appTerm
325
ref
appTerm
appTerm
absTerm
2059
def
271
ref
appTerm
2060
def
betaConv
320
ref
332
ref
2059
ref
appTerm
2061
def
absTerm
2062
def
325
ref
appTerm
2063
def
betaConv
nil
332
ref
2062
ref
appTerm
2064
def
axiom
nil
74
ref
2064
remove
nil
cons
cons
75
ref
2063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2062
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2061
remove
nil
cons
cons
75
ref
2060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2059
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
119
ref
2057
remove
cons
121
ref
2040
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2027
remove
cons
121
ref
2022
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
appThm
eqMp
eqMp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
1981
remove
appTerm
nil
cons
cons
1979
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
409
ref
1685
remove
cons
nil
cons
nil
cons
cons
437
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
1656
remove
appTerm
thm
552
ref
refl
2065
def
523
ref
573
ref
518
ref
277
ref
nil
184
ref
527
ref
nil
cons
cons
nil
cons
nil
cons
cons
1475
ref
subst
278
ref
564
ref
appThm
nil
222
ref
542
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
2066
def
1458
ref
appThm
542
ref
318
ref
appTerm
betaConv
1010
ref
1020
remove
appThm
trans
trans
trans
appThm
531
ref
615
ref
appTerm
2067
def
refl
appThm
nil
42
ref
2067
ref
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
appThm
248
ref
649
ref
257
ref
subst
subst
2068
def
trans
absThm
appThm
248
ref
555
remove
18
ref
cons
2069
def
257
ref
subst
subst
2070
def
trans
sym
112
ref
eqMp
nil
552
ref
523
ref
547
ref
518
ref
63
ref
1462
remove
527
ref
appTerm
appTerm
2067
remove
appTerm
absTerm
appTerm
absTerm
appTerm
thm
1505
ref
nil
1506
remove
thm
1449
remove
nil
1450
remove
thm
nil
215
ref
184
ref
332
ref
270
ref
1340
remove
438
remove
1394
remove
appTerm
2071
def
271
ref
appTerm
appTerm
absTerm
2072
def
appTerm
2073
def
absTerm
2074
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2073
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2072
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
1415
remove
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2074
remove
appTerm
thm
nil
513
ref
187
ref
41
ref
478
ref
182
ref
497
ref
481
ref
appTerm
appTerm
485
ref
497
remove
504
remove
appTerm
appTerm
appTerm
2075
def
absTerm
2076
def
appTerm
2077
def
absTerm
2078
def
nil
cons
cons
nil
cons
nil
cons
cons
512
ref
18
ref
cons
265
ref
subst
subst
187
ref
nil
106
ref
2077
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
147
ref
2076
remove
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
2075
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1325
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
510
ref
2078
remove
appTerm
thm
1101
ref
refl
2079
def
1089
ref
56
ref
24
ref
nil
"g"
0
ref
4
ref
1
ref
713
ref
opType
2080
def
nil
cons
2081
def
cons
opType
2082
def
var
11
ref
0
ref
1087
ref
2082
ref
nil
cons
2083
def
cons
opType
constTerm
1091
ref
appTerm
2084
def
nil
cons
cons
"f"
2082
ref
var
200
ref
0
ref
0
ref
192
ref
2081
ref
cons
opType
2085
def
0
ref
194
ref
2083
remove
cons
opType
nil
cons
cons
opType
constTerm
11
remove
0
ref
714
ref
2085
ref
nil
cons
cons
opType
constTerm
1090
ref
appTerm
2086
def
appTerm
195
remove
36
ref
appTerm
2087
def
appTerm
2088
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
17
ref
"B"
2081
ref
cons
nil
cons
cons
18
ref
cons
177
remove
subst
subst
180
ref
181
ref
25
ref
0
ref
2080
ref
0
ref
2080
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
2089
def
refl
2090
def
nil
"g"
194
remove
var
2087
ref
nil
cons
cons
"f"
2085
remove
var
2086
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
"B"
193
remove
cons
17
remove
"C"
2081
ref
cons
nil
cons
cons
cons
18
ref
cons
1107
ref
subst
subst
appThm
231
remove
184
ref
2089
remove
2084
ref
196
ref
appTerm
appTerm
2086
ref
2087
ref
196
ref
appTerm
2091
def
appTerm
appTerm
absTerm
2092
def
196
ref
appTerm
2093
def
betaConv
24
ref
179
ref
2092
ref
appTerm
2094
def
absTerm
2095
def
36
ref
appTerm
2096
def
betaConv
1089
ref
52
ref
2095
ref
appTerm
2097
def
absTerm
2098
def
1090
ref
appTerm
2099
def
betaConv
2079
remove
1089
ref
56
remove
24
ref
180
ref
184
ref
2090
remove
nil
"f"
1087
ref
var
1091
ref
nil
cons
cons
nil
cons
nil
cons
cons
145
remove
"B"
713
ref
cons
nil
cons
2100
def
cons
18
ref
cons
219
ref
subst
subst
appThm
nil
"s"
192
ref
var
2091
remove
nil
cons
cons
nil
cons
nil
cons
cons
558
remove
2100
remove
cons
18
ref
cons
219
ref
subst
subst
197
ref
0
ref
0
ref
198
ref
713
ref
cons
opType
2101
def
2081
ref
cons
opType
constTerm
2102
def
refl
200
ref
0
ref
714
ref
0
ref
199
ref
2101
remove
nil
cons
2103
def
cons
opType
nil
cons
cons
opType
constTerm
1090
remove
appTerm
refl
204
ref
0
ref
192
remove
202
remove
cons
opType
constTerm
refl
nil
34
remove
175
remove
cons
nil
cons
nil
cons
cons
219
remove
subst
appThm
nil
"f"
199
remove
var
203
remove
36
remove
appTerm
207
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
649
ref
406
ref
subst
subst
trans
appThm
nil
"h"
201
ref
var
466
remove
cons
nil
cons
nil
cons
cons
189
remove
959
remove
224
ref
"D"
713
remove
cons
nil
cons
cons
cons
cons
18
ref
cons
"h"
23
ref
var
2104
def
25
ref
0
ref
0
ref
2
ref
"D"
varType
nil
cons
2105
def
cons
opType
2106
def
0
ref
2106
ref
27
ref
cons
opType
nil
cons
cons
opType
constTerm
200
ref
0
ref
0
ref
712
remove
2105
ref
cons
opType
2107
def
0
ref
1087
ref
2106
remove
nil
cons
2108
def
cons
opType
nil
cons
cons
opType
constTerm
"f"
2107
ref
var
2109
def
varTerm
2110
def
appTerm
1088
remove
"g"
714
ref
var
2111
def
varTerm
2112
def
appTerm
2104
remove
varTerm
2113
def
appTerm
appTerm
appTerm
200
ref
0
ref
0
ref
20
ref
2105
remove
cons
opType
2114
def
0
ref
23
remove
2108
remove
cons
opType
nil
cons
cons
opType
constTerm
200
ref
0
ref
2107
ref
0
ref
714
remove
2114
remove
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
2110
ref
appTerm
2112
ref
appTerm
appTerm
2113
ref
appTerm
appTerm
absTerm
2115
def
2113
ref
appTerm
2116
def
betaConv
2111
remove
52
ref
2115
ref
appTerm
2117
def
absTerm
2118
def
2112
ref
appTerm
2119
def
betaConv
2109
remove
1101
ref
2118
ref
appTerm
2120
def
absTerm
2121
def
2110
ref
appTerm
2122
def
betaConv
nil
38
ref
0
ref
0
ref
2107
ref
27
ref
cons
opType
2123
def
27
ref
cons
opType
constTerm
2121
ref
appTerm
2124
def
axiom
nil
74
ref
2124
remove
nil
cons
cons
75
ref
2122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
2107
ref
nil
cons
cons
nil
cons
"P"
2123
remove
var
2121
remove
nil
cons
cons
"x"
2107
remove
var
2110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2120
remove
nil
cons
cons
75
ref
2119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
1103
ref
1104
ref
2118
remove
nil
cons
cons
1105
remove
2112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2117
remove
nil
cons
cons
75
ref
2116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
ref
172
ref
2115
remove
nil
cons
cons
173
remove
2113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
trans
appThm
nil
"x"
2080
remove
var
2125
def
2102
remove
200
ref
0
ref
1087
remove
0
ref
201
remove
2103
remove
cons
opType
nil
cons
cons
opType
constTerm
1091
remove
appTerm
207
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2081
remove
cons
nil
cons
18
ref
cons
245
ref
subst
2126
def
subst
trans
absThm
appThm
258
ref
trans
absThm
appThm
248
ref
171
ref
18
ref
cons
257
ref
subst
subst
2127
def
trans
absThm
appThm
248
ref
1103
ref
18
ref
cons
257
ref
subst
subst
2128
def
trans
sym
112
ref
eqMp
2129
def
nil
74
ref
1101
ref
2098
ref
appTerm
2130
def
nil
cons
cons
75
ref
2099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
1103
remove
1104
remove
2098
remove
nil
cons
cons
1106
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2097
remove
nil
cons
cons
75
ref
2096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
171
remove
172
remove
2095
remove
nil
cons
cons
176
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2094
remove
nil
cons
cons
75
ref
2093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
2092
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
nil
2125
remove
2086
remove
2087
remove
185
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2126
remove
subst
trans
absThm
appThm
258
ref
trans
trans
absThm
appThm
2127
remove
trans
absThm
appThm
2128
remove
trans
sym
112
ref
eqMp
nil
1101
remove
1089
remove
52
remove
24
remove
25
ref
0
ref
2082
ref
0
ref
2082
remove
27
ref
cons
opType
nil
cons
cons
opType
constTerm
2088
remove
appTerm
2084
remove
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
556
ref
523
ref
547
ref
518
ref
182
ref
1341
ref
527
ref
appTerm
appTerm
525
ref
536
remove
615
ref
appTerm
appTerm
2131
def
appTerm
2132
def
absTerm
2133
def
appTerm
2134
def
absTerm
2135
def
nil
cons
cons
nil
cons
nil
cons
cons
2069
remove
265
ref
subst
2136
def
subst
523
ref
nil
106
ref
2134
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
560
ref
2133
remove
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
518
ref
nil
106
ref
2132
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
183
ref
1448
ref
1274
ref
appThm
appThm
2131
ref
refl
appThm
sym
626
remove
nil
632
remove
75
ref
182
ref
1341
remove
569
ref
571
remove
41
ref
478
ref
547
ref
574
ref
579
remove
485
ref
582
remove
appTerm
2137
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
615
remove
appTerm
2138
def
appTerm
appTerm
2131
remove
appTerm
2139
def
nil
cons
2140
def
cons
nil
cons
2141
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
147
ref
478
ref
639
remove
2139
ref
appTerm
2142
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
ref
nil
106
ref
2142
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
642
remove
2141
ref
cons
nil
cons
cons
2143
def
93
ref
subst
2143
remove
156
ref
subst
644
remove
nil
645
remove
2141
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
560
ref
574
ref
647
remove
2139
ref
appTerm
2144
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
574
ref
nil
106
ref
2144
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
652
remove
2141
ref
cons
nil
cons
cons
2145
def
93
ref
subst
2145
remove
156
ref
subst
654
remove
nil
656
remove
2141
remove
cons
nil
cons
cons
2146
def
144
ref
subst
proveHyp
2146
ref
93
ref
subst
2146
remove
156
ref
subst
183
ref
1448
remove
570
remove
"_28427"
566
remove
var
2147
def
572
ref
478
ref
573
ref
574
ref
nil
1281
remove
2137
ref
nil
cons
cons
1284
remove
2147
ref
varTerm
578
ref
appTerm
2148
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1289
remove
subst
absThm
appThm
absThm
appThm
absThm
appThm
658
remove
appThm
574
ref
182
ref
569
remove
2147
remove
41
ref
478
ref
547
ref
574
ref
182
ref
2148
remove
appTerm
2137
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2149
def
appTerm
2150
def
578
ref
appTerm
appTerm
2137
ref
appTerm
absTerm
2151
def
577
ref
appTerm
2152
def
betaConv
478
ref
547
ref
2151
ref
appTerm
2153
def
absTerm
2154
def
481
ref
appTerm
2155
def
betaConv
2149
ref
2150
remove
appTerm
2156
def
betaConv
2149
ref
"_28425"
519
remove
var
2157
def
484
ref
677
remove
2157
remove
varTerm
2158
def
appTerm
appTerm
525
ref
684
remove
2158
remove
appTerm
appTerm
appTerm
absTerm
2159
def
appTerm
betaConv
sym
nil
147
ref
478
ref
547
ref
574
ref
182
ref
2159
ref
578
remove
appTerm
2160
def
appTerm
2137
remove
appTerm
2161
def
absTerm
2162
def
appTerm
2163
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
478
remove
nil
106
ref
2163
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
560
ref
2162
remove
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
574
remove
nil
106
ref
2161
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
2160
remove
betaConv
182
ref
"_28422"
20
ref
var
2164
def
485
remove
525
ref
2164
ref
varTerm
appTerm
2165
def
appTerm
absTerm
577
remove
appTerm
2166
def
appTerm
refl
2164
ref
484
ref
693
ref
appTerm
2167
def
2165
ref
appTerm
absTerm
2168
def
696
ref
appTerm
betaConv
appThm
183
remove
2166
remove
betaConv
appThm
2167
remove
525
ref
696
remove
appTerm
appTerm
refl
appThm
trans
697
remove
"_28421"
2
ref
var
2169
def
2164
remove
484
remove
2169
remove
varTerm
appTerm
2165
remove
appTerm
absTerm
absTerm
2170
def
481
remove
appTerm
2171
def
appTerm
refl
2170
ref
693
remove
appTerm
betaConv
appThm
701
remove
2171
remove
betaConv
appThm
2168
remove
refl
appThm
trans
2170
remove
refl
949
remove
appThm
eqMp
962
remove
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
963
remove
964
remove
2149
ref
nil
cons
2172
def
cons
966
remove
2159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
967
remove
2149
remove
appTerm
nil
cons
cons
75
ref
2156
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
968
remove
2172
remove
cons
nil
cons
nil
cons
cons
969
remove
subst
eqMp
eqMp
nil
74
ref
41
ref
2154
ref
appTerm
nil
cons
cons
75
ref
2155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2154
remove
nil
cons
cons
947
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2153
remove
nil
cons
cons
75
ref
2152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
2151
remove
nil
cons
cons
970
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
trans
appThm
586
remove
1521
remove
subst
trans
appThm
525
ref
refl
1115
remove
appThm
appThm
nil
181
remove
583
remove
cons
nil
cons
nil
cons
cons
246
remove
subst
trans
sym
112
ref
eqMp
eqMp
nil
1263
remove
121
ref
2140
remove
cons
nil
cons
2173
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1265
remove
2173
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
547
ref
561
ref
1267
remove
2139
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
1268
remove
2139
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
1269
remove
2173
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
1270
remove
2173
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
ref
42
ref
1271
remove
2139
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
1272
remove
2139
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
1273
remove
2173
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
552
ref
2135
remove
appTerm
thm
572
ref
584
ref
180
ref
581
ref
429
ref
270
ref
277
ref
1473
remove
1507
ref
subst
1516
remove
trans
2174
def
appThm
1517
remove
appThm
1518
remove
trans
absThm
appThm
436
ref
trans
absThm
appThm
258
ref
trans
absThm
appThm
248
ref
257
ref
subst
2175
def
trans
sym
112
ref
eqMp
nil
41
ref
584
ref
179
ref
581
ref
332
ref
270
ref
63
ref
1605
remove
977
ref
appTerm
appTerm
1509
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
147
ref
584
ref
307
ref
1577
ref
179
ref
184
ref
182
ref
260
ref
1584
ref
appTerm
196
ref
appTerm
2176
def
appTerm
588
remove
260
ref
1583
ref
appTerm
196
ref
appTerm
2177
def
appTerm
2178
def
appTerm
2179
def
absTerm
2180
def
appTerm
2181
def
absTerm
2182
def
appTerm
2183
def
absTerm
2184
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
584
ref
nil
106
ref
2183
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
311
ref
2182
remove
nil
cons
cons
nil
cons
nil
cons
cons
1615
ref
265
ref
subst
2185
def
subst
1577
ref
nil
106
ref
2181
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
2180
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2179
remove
nil
cons
2186
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
270
ref
63
ref
206
ref
2176
ref
appTerm
271
ref
appTerm
appTerm
206
ref
2178
ref
appTerm
271
ref
appTerm
appTerm
2187
def
absTerm
2188
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2187
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
277
ref
278
ref
nil
279
ref
1584
ref
nil
cons
cons
nil
cons
nil
cons
cons
314
ref
subst
221
ref
270
ref
315
ref
316
ref
1595
ref
appThm
appThm
292
ref
1584
ref
appTerm
2189
def
271
ref
appTerm
2190
def
refl
appThm
379
ref
380
ref
1595
remove
appThm
appThm
appThm
absThm
appThm
trans
appThm
nil
222
ref
270
ref
285
ref
289
ref
1586
ref
appTerm
appTerm
2190
remove
appTerm
207
ref
298
ref
1586
ref
appTerm
appTerm
appTerm
2191
def
absTerm
2192
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
407
ref
appThm
2192
remove
271
ref
appTerm
betaConv
trans
appThm
278
ref
nil
581
remove
2177
remove
nil
cons
cons
nil
cons
nil
cons
cons
609
remove
subst
221
remove
270
ref
594
ref
refl
278
ref
nil
279
ref
1593
remove
cons
nil
cons
nil
cons
cons
314
ref
subst
appThm
nil
222
ref
270
ref
285
ref
289
ref
1585
ref
appTerm
2193
def
appTerm
292
ref
1583
ref
appTerm
2194
def
271
ref
appTerm
2195
def
appTerm
207
ref
298
ref
1585
ref
appTerm
appTerm
appTerm
absTerm
2196
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
614
remove
appThm
2196
remove
598
ref
appTerm
betaConv
trans
appThm
absThm
appThm
trans
appThm
nil
222
ref
270
ref
594
remove
285
ref
288
ref
598
ref
appTerm
1585
ref
appTerm
appTerm
2194
ref
598
ref
appTerm
appTerm
207
ref
297
ref
598
ref
appTerm
1585
ref
appTerm
appTerm
appTerm
appTerm
2197
def
absTerm
2198
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
407
ref
appThm
2198
remove
271
ref
appTerm
betaConv
trans
appThm
sym
984
remove
nil
990
remove
75
ref
63
ref
2191
remove
appTerm
2197
remove
appTerm
2199
def
nil
cons
2200
def
cons
nil
cons
2201
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
995
remove
2201
ref
cons
nil
cons
cons
2202
def
93
ref
subst
2202
remove
156
ref
subst
31
ref
"_28381"
198
ref
var
2203
def
63
ref
285
ref
288
ref
2203
remove
varTerm
2204
def
appTerm
1586
ref
appTerm
appTerm
2189
ref
2204
ref
appTerm
appTerm
207
ref
297
ref
2204
ref
appTerm
2205
def
1586
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
2204
remove
appTerm
318
ref
appTerm
appTerm
587
ref
appTerm
285
ref
288
ref
2205
remove
597
ref
appTerm
2206
def
appTerm
1585
ref
appTerm
appTerm
2194
ref
2206
ref
appTerm
appTerm
207
ref
297
ref
2206
remove
appTerm
1585
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2207
def
271
ref
appTerm
2208
def
appTerm
refl
2209
def
2207
ref
318
ref
appTerm
betaConv
appThm
123
ref
2208
remove
betaConv
appThm
2210
def
63
ref
285
ref
288
ref
318
ref
appTerm
2211
def
1586
ref
appTerm
appTerm
2189
ref
318
ref
appTerm
2212
def
appTerm
207
ref
1005
remove
1586
ref
appTerm
appTerm
2213
def
appTerm
appTerm
1004
ref
587
ref
appTerm
285
ref
288
ref
1006
ref
appTerm
1585
ref
appTerm
appTerm
2194
ref
1006
ref
appTerm
appTerm
207
ref
297
ref
1006
ref
appTerm
1585
ref
appTerm
appTerm
appTerm
2214
def
appTerm
appTerm
refl
appThm
trans
2207
remove
refl
2215
def
1009
remove
appThm
eqMp
sym
277
ref
315
ref
nil
270
ref
1586
ref
nil
cons
2216
def
cons
nil
cons
nil
cons
cons
270
ref
31
ref
2211
ref
271
ref
appTerm
2217
def
appTerm
2033
remove
appTerm
absTerm
2218
def
271
ref
appTerm
2219
def
betaConv
nil
332
ref
2218
ref
appTerm
2220
def
axiom
nil
74
ref
2220
remove
nil
cons
cons
75
ref
2219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2218
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
1221
ref
nil
270
ref
1585
ref
nil
cons
2221
def
cons
nil
cons
nil
cons
cons
2222
def
1123
ref
subst
appThm
1227
ref
trans
trans
appThm
1577
ref
63
ref
2212
remove
appTerm
587
ref
appTerm
absTerm
2223
def
1583
ref
appTerm
2224
def
betaConv
584
ref
307
ref
2223
ref
appTerm
2225
def
absTerm
2226
def
587
ref
appTerm
2227
def
betaConv
nil
41
ref
2226
ref
appTerm
2228
def
axiom
nil
74
ref
2228
remove
nil
cons
cons
75
ref
2227
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2226
remove
nil
cons
cons
607
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2225
remove
nil
cons
cons
75
ref
2224
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2223
remove
nil
cons
cons
1594
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2229
def
appThm
2213
ref
refl
appThm
nil
385
ref
2213
remove
nil
cons
cons
1514
ref
cons
nil
cons
cons
1042
ref
subst
trans
appThm
nil
1028
ref
2214
remove
nil
cons
cons
1477
remove
cons
nil
cons
cons
1044
ref
subst
appThm
1526
remove
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1046
remove
121
ref
2200
ref
cons
nil
cons
2230
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
1048
remove
2199
ref
appTerm
2231
def
nil
cons
cons
75
ref
1050
remove
2199
ref
appTerm
2232
def
nil
cons
cons
nil
cons
2233
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
320
ref
1054
remove
2199
ref
appTerm
2234
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2234
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
1057
remove
2201
ref
cons
nil
cons
cons
2235
def
93
ref
subst
2235
remove
156
ref
subst
1059
remove
nil
1063
remove
2201
remove
cons
nil
cons
cons
2236
def
144
ref
subst
proveHyp
2236
ref
93
ref
subst
2236
remove
156
ref
subst
2209
remove
"_28383"
198
ref
var
2237
def
63
ref
285
ref
288
ref
2237
remove
varTerm
2238
def
appTerm
1586
ref
appTerm
appTerm
2189
ref
2238
ref
appTerm
appTerm
207
ref
297
ref
2238
ref
appTerm
2239
def
1586
ref
appTerm
appTerm
appTerm
appTerm
285
ref
317
ref
2238
remove
appTerm
318
ref
appTerm
appTerm
587
ref
appTerm
285
ref
288
ref
2239
remove
597
remove
appTerm
2240
def
appTerm
1585
ref
appTerm
appTerm
2194
ref
2240
ref
appTerm
appTerm
207
ref
297
ref
2240
remove
appTerm
1585
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1060
ref
appTerm
betaConv
appThm
2210
remove
63
ref
285
ref
288
ref
1060
ref
appTerm
2241
def
1586
ref
appTerm
appTerm
2189
ref
1060
ref
appTerm
2242
def
appTerm
207
ref
1069
remove
1586
ref
appTerm
2243
def
appTerm
2244
def
appTerm
appTerm
1068
remove
587
ref
appTerm
285
ref
288
ref
1070
ref
appTerm
1585
ref
appTerm
appTerm
2194
ref
1070
ref
appTerm
appTerm
207
ref
297
ref
1070
remove
appTerm
1585
ref
appTerm
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
2215
remove
1071
remove
appThm
eqMp
sym
277
ref
315
ref
2222
ref
270
ref
31
ref
2241
remove
977
ref
appTerm
2245
def
appTerm
1819
ref
appTerm
absTerm
2246
def
271
ref
appTerm
2247
def
betaConv
320
ref
332
ref
2246
ref
appTerm
2248
def
absTerm
2249
def
325
ref
appTerm
2250
def
betaConv
nil
332
ref
2249
ref
appTerm
2251
def
axiom
nil
74
ref
2251
remove
nil
cons
cons
75
ref
2250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2249
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2248
remove
nil
cons
cons
75
ref
2247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2246
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2252
def
subst
appThm
2242
ref
refl
appThm
2244
ref
refl
appThm
appThm
1512
remove
315
ref
288
ref
refl
2253
def
1130
ref
appThm
1585
ref
refl
2254
def
appThm
appThm
2194
ref
refl
1130
ref
appThm
appThm
379
ref
297
ref
refl
2255
def
1130
remove
appThm
2254
remove
appThm
appThm
appThm
appThm
nil
385
ref
285
ref
326
ref
1585
ref
appTerm
2256
def
appTerm
2257
def
2194
remove
325
ref
appTerm
2258
def
appTerm
207
ref
381
remove
1585
ref
appTerm
2259
def
appTerm
2260
def
appTerm
2261
def
nil
cons
cons
1514
remove
cons
nil
cons
cons
399
ref
subst
trans
appThm
sym
123
ref
"_28385"
2
ref
var
2262
def
63
ref
2262
remove
varTerm
appTerm
2261
ref
appTerm
absTerm
2263
def
2257
remove
2242
ref
appTerm
2244
ref
appTerm
appTerm
betaConv
appThm
1158
ref
76
ref
2256
ref
appTerm
2264
def
refl
2263
ref
2242
ref
appTerm
betaConv
appThm
appThm
76
ref
324
ref
2256
ref
appTerm
2265
def
appTerm
2266
def
refl
2263
ref
2244
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
2
ref
var
2267
def
2244
ref
nil
cons
cons
"_482"
2
ref
var
2268
def
2242
ref
nil
cons
cons
"_483"
26
ref
var
2269
def
2256
ref
nil
cons
2270
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
39
ref
var
2271
def
2263
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
42
ref
2268
ref
varTerm
nil
cons
cons
"c"
26
ref
var
2272
def
2269
ref
varTerm
nil
cons
cons
158
ref
2271
ref
varTerm
nil
cons
cons
61
ref
2267
ref
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
61
ref
31
ref
159
ref
285
ref
2272
ref
varTerm
2273
def
appTerm
46
ref
appTerm
65
ref
appTerm
appTerm
appTerm
82
ref
76
ref
2273
ref
appTerm
753
ref
appTerm
appTerm
76
ref
324
ref
2273
ref
appTerm
appTerm
159
ref
65
ref
appTerm
2274
def
appTerm
appTerm
appTerm
absTerm
2275
def
65
ref
appTerm
2276
def
betaConv
42
ref
41
ref
2275
ref
appTerm
2277
def
absTerm
2278
def
46
ref
appTerm
2279
def
betaConv
2272
remove
41
ref
2278
ref
appTerm
2280
def
absTerm
2281
def
2273
ref
appTerm
2282
def
betaConv
158
ref
252
ref
2281
ref
appTerm
2283
def
absTerm
2284
def
159
ref
appTerm
2285
def
betaConv
nil
852
ref
2284
ref
appTerm
2286
def
axiom
nil
74
ref
2286
remove
nil
cons
cons
75
ref
2285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
2284
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2283
remove
nil
cons
cons
75
ref
2282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
2281
remove
nil
cons
cons
58
ref
2273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2280
remove
nil
cons
cons
75
ref
2279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2278
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2277
remove
nil
cons
cons
75
ref
2276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2275
remove
nil
cons
cons
168
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
2287
def
subst
subst
eqMp
sym
nil
74
ref
2270
ref
cons
2288
def
75
ref
63
ref
2242
remove
appTerm
2289
def
2261
ref
appTerm
2290
def
nil
cons
2291
def
cons
nil
cons
cons
nil
cons
cons
2292
def
93
ref
subst
2292
remove
156
ref
subst
31
ref
"_28387"
26
ref
var
2293
def
2289
ref
285
ref
2293
remove
varTerm
appTerm
2258
ref
appTerm
2260
ref
appTerm
appTerm
absTerm
2294
def
2256
ref
appTerm
2295
def
appTerm
refl
2294
ref
98
ref
appTerm
betaConv
appThm
123
ref
2295
remove
betaConv
appThm
2289
ref
1035
ref
2258
ref
appTerm
2260
ref
appTerm
appTerm
refl
appThm
trans
2294
remove
refl
nil
106
ref
2270
ref
cons
nil
cons
nil
cons
cons
113
ref
subst
2256
ref
assume
eqMp
appThm
eqMp
sym
2289
ref
refl
nil
385
ref
2260
ref
nil
cons
cons
387
ref
2258
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2296
def
1042
ref
subst
appThm
sym
nil
2288
remove
75
ref
2289
remove
2258
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
1116
ref
270
ref
76
ref
2193
remove
appTerm
63
ref
2189
remove
977
ref
appTerm
appTerm
2195
remove
appTerm
appTerm
absTerm
2297
def
271
ref
appTerm
2298
def
betaConv
1577
ref
332
ref
2297
ref
appTerm
2299
def
absTerm
2300
def
1583
ref
appTerm
2301
def
betaConv
584
ref
307
ref
2300
ref
appTerm
2302
def
absTerm
2303
def
587
ref
appTerm
2304
def
betaConv
nil
41
ref
2303
ref
appTerm
2305
def
axiom
nil
74
ref
2305
remove
nil
cons
cons
75
ref
2304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2303
remove
nil
cons
cons
607
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2302
remove
nil
cons
cons
75
ref
2301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2300
remove
nil
cons
cons
1594
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2299
remove
nil
cons
cons
75
ref
2298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2297
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2306
def
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2270
remove
cons
2307
def
121
ref
2291
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
2264
remove
2290
remove
appTerm
nil
cons
cons
75
ref
2266
remove
63
ref
2244
remove
appTerm
2308
def
2261
remove
appTerm
2309
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
2265
ref
nil
cons
2310
def
cons
2311
def
75
ref
2309
remove
nil
cons
2312
def
cons
nil
cons
cons
nil
cons
cons
2313
def
93
ref
subst
2313
remove
156
ref
subst
31
ref
"_28389"
26
ref
var
2314
def
2308
ref
285
ref
2314
remove
varTerm
appTerm
2258
ref
appTerm
2260
ref
appTerm
appTerm
absTerm
2315
def
2256
ref
appTerm
2316
def
appTerm
refl
2315
ref
337
ref
appTerm
betaConv
appThm
123
ref
2316
remove
betaConv
appThm
2308
ref
388
ref
2258
remove
appTerm
2260
remove
appTerm
appTerm
refl
appThm
trans
2315
remove
refl
nil
2311
remove
75
ref
31
ref
2256
remove
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
2307
remove
nil
cons
nil
cons
cons
376
ref
subst
eqMp
appThm
eqMp
sym
2308
remove
refl
2296
remove
399
ref
subst
appThm
sym
379
ref
2222
remove
270
ref
31
ref
324
ref
1819
ref
appTerm
2317
def
appTerm
1782
ref
appTerm
2318
def
absTerm
2319
def
271
ref
appTerm
2320
def
betaConv
320
ref
332
ref
2319
ref
appTerm
2321
def
absTerm
2322
def
325
ref
appTerm
2323
def
betaConv
nil
332
ref
2322
ref
appTerm
2324
def
axiom
2325
def
nil
74
ref
2324
remove
nil
cons
cons
75
ref
2323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2322
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2321
remove
nil
cons
cons
75
ref
2320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2319
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2326
def
subst
nil
1072
ref
320
ref
2221
remove
cons
nil
cons
2327
def
cons
nil
cons
cons
270
ref
31
ref
1779
ref
appTerm
2328
def
975
ref
1821
ref
591
ref
450
ref
1822
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2329
def
271
ref
appTerm
2330
def
betaConv
320
ref
332
ref
2329
ref
appTerm
2331
def
absTerm
2332
def
325
ref
appTerm
2333
def
betaConv
nil
332
ref
2332
ref
appTerm
2334
def
axiom
nil
74
ref
2334
remove
nil
cons
cons
75
ref
2333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2332
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2331
remove
nil
cons
cons
75
ref
2330
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2329
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2335
def
subst
trans
2265
remove
assume
eqMp
nil
74
ref
975
ref
1821
ref
972
ref
449
ref
1585
ref
appTerm
1822
ref
appTerm
2336
def
appTerm
2337
def
absTerm
2338
def
appTerm
2339
def
nil
cons
cons
75
ref
317
ref
2243
remove
appTerm
2259
remove
appTerm
2340
def
nil
cons
2341
def
cons
nil
cons
2342
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
269
ref
1821
ref
76
ref
2338
ref
1822
ref
appTerm
2343
def
appTerm
2340
ref
appTerm
2344
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
2344
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2343
ref
nil
cons
2345
def
cons
2342
ref
cons
nil
cons
cons
2346
def
93
ref
subst
2346
remove
156
ref
subst
2343
ref
betaConv
2343
remove
assume
eqMp
nil
74
ref
2337
ref
nil
cons
2347
def
cons
2342
remove
cons
nil
cons
cons
2348
def
144
ref
subst
proveHyp
2348
ref
93
ref
subst
2348
remove
156
ref
subst
31
ref
"_28391"
198
ref
var
2349
def
317
ref
297
ref
976
ref
2349
remove
varTerm
2350
def
appTerm
appTerm
1586
ref
appTerm
appTerm
297
ref
2350
remove
appTerm
1585
ref
appTerm
appTerm
absTerm
2351
def
325
ref
appTerm
2352
def
appTerm
refl
2351
ref
2336
ref
appTerm
betaConv
appThm
123
ref
2352
remove
betaConv
appThm
317
ref
297
ref
976
ref
2336
ref
appTerm
appTerm
1586
ref
appTerm
appTerm
297
ref
2336
remove
appTerm
1585
remove
appTerm
appTerm
refl
appThm
trans
2351
remove
refl
2337
remove
assume
appThm
eqMp
sym
1539
ref
2255
ref
nil
1833
ref
2327
remove
cons
nil
cons
cons
2353
def
270
ref
317
ref
1386
remove
appTerm
1732
ref
appTerm
2354
def
absTerm
2355
def
271
ref
appTerm
2356
def
betaConv
320
ref
332
ref
2355
ref
appTerm
2357
def
absTerm
2358
def
325
ref
appTerm
2359
def
betaConv
429
ref
320
ref
429
ref
270
ref
2354
remove
assume
sym
1733
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1740
remove
eqMp
nil
74
ref
332
ref
2358
ref
appTerm
nil
cons
cons
75
ref
2359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2358
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2357
remove
nil
cons
cons
75
ref
2356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2355
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
1586
remove
refl
appThm
nil
1833
ref
320
ref
2216
remove
cons
nil
cons
cons
nil
cons
cons
270
ref
317
ref
297
ref
451
ref
appTerm
325
ref
appTerm
appTerm
271
ref
appTerm
absTerm
2360
def
271
ref
appTerm
2361
def
betaConv
320
ref
332
ref
2360
ref
appTerm
2362
def
absTerm
2363
def
325
ref
appTerm
2364
def
betaConv
nil
332
ref
2363
ref
appTerm
2365
def
axiom
nil
74
ref
2365
remove
nil
cons
cons
75
ref
2364
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2363
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2362
remove
nil
cons
cons
75
ref
2361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2360
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2366
def
subst
trans
appThm
2353
remove
2366
ref
subst
appThm
nil
334
ref
1832
ref
cons
nil
cons
2367
def
nil
cons
cons
1549
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
2347
remove
cons
121
ref
2341
remove
cons
nil
cons
2368
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2345
remove
cons
2368
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2338
ref
430
ref
appTerm
appTerm
2340
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
2339
remove
appTerm
2340
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2338
remove
nil
cons
cons
2368
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
appThm
eqMp
eqMp
eqMp
nil
119
ref
2310
remove
cons
121
ref
2312
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1132
remove
2230
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1133
remove
2230
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
1134
remove
2199
ref
appTerm
absTerm
appTerm
nil
cons
cons
2233
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
1135
remove
2230
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
nil
74
ref
82
ref
2231
remove
appTerm
2232
remove
appTerm
nil
cons
cons
75
ref
1136
remove
2199
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
1137
remove
2200
remove
cons
1138
remove
cons
nil
cons
cons
1262
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
2188
remove
appTerm
nil
cons
cons
75
ref
2186
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
408
ref
2178
remove
nil
cons
cons
409
ref
2176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
437
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
41
ref
2184
remove
appTerm
thm
nil
311
ref
"l1"
259
ref
var
2369
def
307
ref
"l2"
259
ref
var
2370
def
179
ref
184
ref
182
remove
260
ref
"Data.List.@"
const
0
ref
259
ref
1564
remove
cons
opType
2371
def
constTerm
2372
def
2369
ref
varTerm
2373
def
appTerm
2370
ref
varTerm
2374
def
appTerm
2375
def
appTerm
196
ref
appTerm
2376
def
appTerm
260
ref
2373
ref
appTerm
260
remove
2374
ref
appTerm
196
ref
appTerm
2377
def
appTerm
2378
def
appTerm
2379
def
absTerm
2380
def
appTerm
2381
def
absTerm
2382
def
appTerm
2383
def
absTerm
2384
def
nil
cons
cons
nil
cons
nil
cons
cons
2185
ref
subst
2369
ref
nil
106
ref
2383
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
311
ref
2382
remove
nil
cons
cons
nil
cons
nil
cons
cons
2185
ref
subst
2370
ref
nil
106
ref
2381
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
2380
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2379
remove
nil
cons
2385
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
270
ref
63
ref
206
ref
2376
ref
appTerm
271
ref
appTerm
appTerm
206
ref
2378
ref
appTerm
271
ref
appTerm
appTerm
2386
def
absTerm
2387
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2386
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
277
ref
nil
279
ref
2375
ref
nil
cons
cons
nil
cons
nil
cons
cons
278
ref
314
remove
appThm
nil
222
ref
300
ref
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
407
ref
appThm
300
remove
271
ref
appTerm
betaConv
trans
2388
def
subst
315
ref
316
remove
2370
ref
317
ref
290
ref
2375
ref
appTerm
appTerm
449
ref
290
ref
2373
ref
appTerm
2389
def
appTerm
2390
def
290
ref
2374
ref
appTerm
2391
def
appTerm
2392
def
appTerm
absTerm
2393
def
2374
ref
appTerm
2394
def
betaConv
2369
ref
307
ref
2393
ref
appTerm
2395
def
absTerm
2396
def
2373
ref
appTerm
2397
def
betaConv
nil
307
ref
2396
ref
appTerm
2398
def
axiom
nil
74
ref
2398
remove
nil
cons
cons
75
ref
2397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2396
remove
nil
cons
cons
312
ref
2373
ref
nil
cons
2399
def
cons
nil
cons
2400
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2395
remove
nil
cons
cons
75
ref
2394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2393
remove
nil
cons
cons
312
ref
2374
ref
nil
cons
2401
def
cons
nil
cons
2402
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2403
def
appThm
appThm
292
ref
2375
remove
appTerm
2404
def
271
ref
appTerm
2405
def
refl
2406
def
appThm
379
ref
380
remove
2403
remove
appThm
appThm
appThm
trans
appThm
nil
184
ref
2377
remove
nil
cons
cons
279
ref
2399
remove
cons
nil
cons
cons
nil
cons
cons
2388
ref
subst
285
ref
289
ref
2389
ref
appTerm
2407
def
appTerm
292
ref
2373
ref
appTerm
2408
def
271
ref
appTerm
2409
def
appTerm
2410
def
refl
nil
270
ref
298
ref
2389
ref
appTerm
2411
def
nil
cons
cons
279
ref
2401
remove
cons
nil
cons
cons
nil
cons
cons
2388
ref
subst
appThm
trans
appThm
sym
nil
74
ref
324
ref
2407
ref
appTerm
2412
def
nil
cons
2413
def
cons
2414
def
75
ref
63
ref
285
ref
289
ref
2392
ref
appTerm
2415
def
appTerm
2405
ref
appTerm
207
ref
298
remove
2392
ref
appTerm
appTerm
2416
def
appTerm
appTerm
2417
def
2410
ref
285
ref
288
ref
2411
ref
appTerm
2391
ref
appTerm
appTerm
292
ref
2374
ref
appTerm
2418
def
2411
ref
appTerm
2419
def
appTerm
207
ref
297
ref
2411
remove
appTerm
2391
ref
appTerm
appTerm
appTerm
2420
def
appTerm
appTerm
nil
cons
2421
def
cons
nil
cons
2422
def
cons
nil
cons
cons
2423
def
93
ref
subst
2423
remove
156
ref
subst
2417
ref
refl
315
ref
nil
2414
remove
75
ref
31
ref
2407
ref
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
119
ref
2407
ref
nil
cons
2424
def
cons
2425
def
nil
cons
nil
cons
cons
376
ref
subst
eqMp
appThm
2409
ref
refl
2426
def
appThm
2420
ref
refl
2427
def
appThm
nil
385
ref
2420
ref
nil
cons
cons
387
ref
2409
ref
nil
cons
cons
nil
cons
2428
def
cons
nil
cons
cons
2429
def
399
ref
subst
trans
appThm
sym
nil
270
ref
2389
ref
nil
cons
2430
def
cons
2431
def
322
ref
cons
nil
cons
cons
2326
ref
subst
nil
320
ref
2430
ref
cons
nil
cons
2432
def
nil
cons
cons
2335
ref
subst
trans
2412
remove
assume
eqMp
nil
74
ref
975
ref
1821
ref
591
ref
2390
ref
1822
ref
appTerm
2433
def
appTerm
2434
def
absTerm
2435
def
appTerm
2436
def
nil
cons
cons
75
ref
2417
remove
2420
remove
appTerm
2437
def
nil
cons
2438
def
cons
nil
cons
2439
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
269
ref
1821
ref
76
ref
2435
ref
1822
ref
appTerm
2440
def
appTerm
2437
ref
appTerm
2441
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
2441
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2440
ref
nil
cons
2442
def
cons
2439
ref
cons
nil
cons
cons
2443
def
93
ref
subst
2443
remove
156
ref
subst
2440
ref
betaConv
2440
remove
assume
eqMp
nil
74
ref
2434
ref
nil
cons
2444
def
cons
2439
remove
cons
nil
cons
cons
2445
def
144
ref
subst
proveHyp
2445
ref
93
ref
subst
2445
remove
156
ref
subst
31
ref
"_28363"
198
ref
var
2446
def
63
ref
285
ref
288
ref
2446
remove
varTerm
2447
def
appTerm
2392
ref
appTerm
appTerm
2404
ref
2447
ref
appTerm
appTerm
207
ref
297
ref
2447
remove
appTerm
2448
def
2392
ref
appTerm
appTerm
appTerm
appTerm
285
ref
288
ref
2448
remove
2389
ref
appTerm
2449
def
appTerm
2391
ref
appTerm
appTerm
2418
ref
2449
ref
appTerm
appTerm
207
ref
297
ref
2449
remove
appTerm
2391
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2450
def
271
ref
appTerm
2451
def
appTerm
refl
2450
ref
2433
ref
appTerm
betaConv
appThm
123
ref
2451
remove
betaConv
appThm
63
ref
285
ref
288
ref
2433
ref
appTerm
2452
def
2392
ref
appTerm
2453
def
appTerm
2404
ref
2433
ref
appTerm
2454
def
appTerm
207
ref
297
ref
2433
ref
appTerm
2455
def
2392
ref
appTerm
appTerm
2456
def
appTerm
appTerm
285
ref
288
ref
2455
remove
2389
ref
appTerm
2457
def
appTerm
2391
ref
appTerm
appTerm
2418
ref
2457
ref
appTerm
2458
def
appTerm
207
ref
297
ref
2457
remove
appTerm
2391
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
2450
remove
refl
2434
remove
assume
appThm
eqMp
sym
277
ref
315
ref
nil
1761
ref
2391
ref
nil
cons
2459
def
cons
1833
ref
2432
ref
cons
2460
def
cons
nil
cons
cons
1761
ref
31
ref
288
ref
451
ref
appTerm
1766
ref
appTerm
appTerm
289
ref
1763
ref
appTerm
2461
def
appTerm
absTerm
2462
def
1763
ref
appTerm
2463
def
betaConv
270
ref
332
ref
2462
ref
appTerm
2464
def
absTerm
2465
def
271
ref
appTerm
2466
def
betaConv
320
ref
332
ref
2465
ref
appTerm
2467
def
absTerm
2468
def
325
ref
appTerm
2469
def
betaConv
nil
332
ref
2468
ref
appTerm
2470
def
axiom
nil
74
ref
2470
remove
nil
cons
cons
75
ref
2469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2468
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2467
remove
nil
cons
cons
75
ref
2466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2465
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2464
remove
nil
cons
cons
75
ref
2463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2462
remove
nil
cons
cons
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
2471
def
appThm
2454
ref
refl
appThm
2456
ref
refl
appThm
appThm
315
ref
2253
ref
nil
2460
remove
nil
cons
cons
2472
def
2366
ref
subst
2473
def
appThm
2391
ref
refl
2474
def
appThm
appThm
2418
ref
refl
2473
ref
appThm
2475
def
appThm
379
ref
2255
ref
2473
remove
appThm
2474
remove
appThm
appThm
appThm
appThm
sym
123
ref
"_28365"
2
ref
var
2476
def
63
ref
2476
remove
varTerm
appTerm
285
ref
288
ref
1822
ref
appTerm
2391
ref
appTerm
2477
def
appTerm
2478
def
2418
ref
1822
ref
appTerm
2479
def
appTerm
207
ref
297
ref
1822
ref
appTerm
2391
ref
appTerm
appTerm
2480
def
appTerm
2481
def
appTerm
absTerm
2482
def
2478
remove
2454
ref
appTerm
2456
ref
appTerm
appTerm
betaConv
appThm
1158
ref
76
ref
2477
ref
appTerm
2483
def
refl
2482
ref
2454
ref
appTerm
betaConv
appThm
appThm
76
ref
324
ref
2477
ref
appTerm
2484
def
appTerm
2485
def
refl
2482
ref
2456
ref
appTerm
betaConv
appThm
appThm
appThm
nil
2267
ref
2456
ref
nil
cons
cons
2268
ref
2454
ref
nil
cons
cons
2269
ref
2477
ref
nil
cons
2486
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
2271
ref
2482
remove
nil
cons
cons
nil
cons
nil
cons
cons
2287
ref
subst
subst
eqMp
sym
nil
74
ref
2486
ref
cons
75
ref
63
ref
2454
ref
appTerm
2487
def
2481
ref
appTerm
2488
def
nil
cons
2489
def
cons
nil
cons
cons
nil
cons
cons
2490
def
93
ref
subst
2490
remove
156
ref
subst
31
ref
"_28367"
26
ref
var
2491
def
2487
ref
285
ref
2491
remove
varTerm
appTerm
2479
ref
appTerm
2480
ref
appTerm
appTerm
absTerm
2492
def
2477
ref
appTerm
2493
def
appTerm
refl
2492
ref
98
ref
appTerm
betaConv
appThm
123
ref
2493
remove
betaConv
appThm
2487
ref
1035
remove
2479
ref
appTerm
2480
ref
appTerm
appTerm
refl
appThm
trans
2492
remove
refl
nil
106
ref
2486
ref
cons
nil
cons
nil
cons
cons
113
ref
subst
2477
ref
assume
eqMp
2494
def
appThm
eqMp
sym
2487
ref
refl
2495
def
nil
385
ref
2480
ref
nil
cons
cons
387
ref
2479
ref
nil
cons
2496
def
cons
nil
cons
cons
nil
cons
cons
2497
def
1042
ref
subst
appThm
sym
"k"
198
ref
var
2498
def
76
ref
288
ref
2498
ref
varTerm
2499
def
appTerm
2500
def
2392
ref
appTerm
appTerm
63
ref
2404
remove
2499
ref
appTerm
appTerm
285
ref
2500
remove
2389
ref
appTerm
appTerm
2408
ref
2499
ref
appTerm
appTerm
2418
remove
297
ref
2499
ref
appTerm
2389
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2501
def
2433
ref
appTerm
2502
def
betaConv
2370
remove
332
ref
2501
ref
appTerm
2503
def
absTerm
2504
def
2374
remove
appTerm
2505
def
betaConv
2369
remove
307
ref
2504
ref
appTerm
2506
def
absTerm
2507
def
2373
remove
appTerm
2508
def
betaConv
nil
307
ref
2507
ref
appTerm
2509
def
axiom
nil
74
ref
2509
remove
nil
cons
cons
75
ref
2508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2507
remove
nil
cons
cons
2400
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2506
remove
nil
cons
cons
75
ref
2505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2504
remove
nil
cons
cons
2402
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2510
def
nil
74
ref
2503
remove
nil
cons
cons
2511
def
75
ref
2502
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2501
ref
nil
cons
cons
2512
def
334
ref
2433
ref
nil
cons
2513
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
2453
remove
appTerm
2487
ref
285
ref
2452
remove
2389
ref
appTerm
2514
def
appTerm
2408
remove
2433
remove
appTerm
2515
def
appTerm
2516
def
2458
remove
appTerm
appTerm
appTerm
nil
cons
cons
75
ref
2487
ref
2479
ref
appTerm
2517
def
nil
cons
2518
def
cons
nil
cons
2519
def
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
346
ref
2471
remove
2494
remove
trans
appThm
2495
remove
2516
ref
refl
2475
remove
appThm
appThm
appThm
nil
106
ref
2487
remove
2516
remove
2479
ref
appTerm
2520
def
appTerm
2521
def
nil
cons
2522
def
cons
nil
cons
nil
cons
cons
1194
ref
subst
trans
appThm
2517
remove
refl
appThm
sym
nil
74
ref
2522
ref
cons
2519
remove
cons
nil
cons
cons
2523
def
93
ref
subst
2523
remove
156
ref
subst
31
ref
"_28371"
2
ref
var
2524
def
63
ref
2524
remove
varTerm
appTerm
2479
ref
appTerm
absTerm
2525
def
2454
remove
appTerm
2526
def
appTerm
refl
2525
ref
2520
ref
appTerm
betaConv
2527
def
appThm
123
ref
2526
remove
betaConv
appThm
63
ref
2520
remove
appTerm
2479
ref
appTerm
refl
appThm
trans
2525
remove
refl
2521
remove
assume
appThm
eqMp
sym
123
ref
2527
remove
appThm
1158
ref
76
ref
2514
ref
appTerm
2528
def
refl
"_28373"
2
ref
var
2529
def
63
ref
2529
remove
varTerm
appTerm
2479
ref
appTerm
absTerm
2530
def
2515
ref
appTerm
betaConv
appThm
appThm
76
ref
324
ref
2514
ref
appTerm
2531
def
appTerm
2532
def
refl
2530
ref
2479
ref
appTerm
betaConv
appThm
appThm
appThm
nil
2267
remove
2496
remove
cons
2268
remove
2515
ref
nil
cons
cons
2269
remove
2514
remove
nil
cons
2533
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
2271
remove
2530
remove
nil
cons
cons
nil
cons
nil
cons
cons
2287
remove
subst
subst
eqMp
sym
nil
74
ref
2533
ref
cons
2534
def
75
ref
63
ref
2515
remove
appTerm
2479
ref
appTerm
2535
def
nil
cons
2536
def
cons
nil
cons
cons
nil
cons
cons
2537
def
93
ref
subst
2537
remove
156
ref
subst
nil
2534
remove
345
ref
cons
nil
cons
cons
144
ref
subst
nil
106
ref
2533
ref
cons
nil
cons
nil
cons
cons
1220
ref
subst
nil
2431
remove
320
ref
2513
remove
cons
nil
cons
cons
nil
cons
cons
2326
ref
subst
2472
remove
nil
106
ref
1778
remove
451
ref
appTerm
2538
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
2538
remove
absTerm
2539
def
271
ref
appTerm
2540
def
betaConv
320
ref
332
ref
2539
ref
appTerm
2541
def
absTerm
2542
def
325
ref
appTerm
2543
def
betaConv
nil
332
ref
2542
ref
appTerm
2544
def
axiom
nil
74
ref
2544
remove
nil
cons
cons
75
ref
2543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2542
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2541
remove
nil
cons
cons
75
ref
2540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2539
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
2545
def
subst
trans
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
2536
ref
cons
nil
cons
nil
cons
cons
375
remove
subst
proveHyp
eqMp
nil
119
ref
2533
remove
cons
121
ref
2536
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
2528
remove
2535
remove
appTerm
nil
cons
cons
75
ref
2532
remove
63
ref
2479
ref
appTerm
2479
ref
appTerm
2546
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
2531
remove
nil
cons
2547
def
cons
75
ref
2546
remove
nil
cons
2548
def
cons
nil
cons
cons
nil
cons
cons
2549
def
93
ref
subst
2549
remove
156
ref
subst
2479
ref
refl
eqMp
nil
119
ref
2547
remove
cons
121
ref
2548
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2522
remove
cons
121
ref
2518
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2486
remove
cons
2550
def
121
ref
2489
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
2483
remove
2488
remove
appTerm
nil
cons
cons
75
ref
2485
remove
63
ref
2456
remove
appTerm
2551
def
2481
remove
appTerm
2552
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
2484
ref
nil
cons
2553
def
cons
2554
def
75
ref
2552
remove
nil
cons
2555
def
cons
nil
cons
cons
nil
cons
cons
2556
def
93
ref
subst
2556
remove
156
ref
subst
31
ref
"_28369"
26
ref
var
2557
def
2551
ref
285
ref
2557
remove
varTerm
appTerm
2479
ref
appTerm
2480
ref
appTerm
appTerm
absTerm
2558
def
2477
ref
appTerm
2559
def
appTerm
refl
2558
ref
337
ref
appTerm
betaConv
appThm
123
ref
2559
remove
betaConv
appThm
2551
ref
388
remove
2479
remove
appTerm
2480
ref
appTerm
appTerm
refl
appThm
trans
2558
remove
refl
nil
2554
remove
75
ref
31
ref
2477
remove
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
nil
2550
remove
nil
cons
nil
cons
cons
376
ref
subst
eqMp
appThm
eqMp
sym
2551
ref
refl
2497
remove
399
ref
subst
appThm
sym
nil
270
ref
2459
ref
cons
2560
def
320
ref
1832
ref
cons
nil
cons
cons
nil
cons
cons
2326
ref
subst
nil
1833
ref
320
ref
2459
remove
cons
nil
cons
2561
def
cons
nil
cons
cons
2335
ref
subst
trans
2484
remove
assume
eqMp
nil
74
ref
975
ref
"d'"
198
ref
var
2562
def
317
ref
1822
ref
appTerm
2563
def
449
ref
2391
ref
appTerm
2564
def
2562
ref
varTerm
2565
def
appTerm
appTerm
absTerm
2566
def
appTerm
2567
def
nil
cons
cons
75
ref
2551
remove
2480
remove
appTerm
2568
def
nil
cons
2569
def
cons
nil
cons
2570
def
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
269
ref
320
ref
76
ref
2566
ref
325
ref
appTerm
2571
def
appTerm
2568
ref
appTerm
2572
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2572
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2571
ref
nil
cons
2573
def
cons
2570
ref
cons
nil
cons
cons
2574
def
93
ref
subst
2574
remove
156
ref
subst
2571
ref
betaConv
2571
remove
assume
eqMp
nil
74
ref
2563
ref
2564
remove
325
ref
appTerm
2575
def
appTerm
2576
def
nil
cons
2577
def
cons
2570
remove
cons
nil
cons
cons
2578
def
144
ref
subst
proveHyp
2578
ref
93
ref
subst
2578
remove
156
ref
subst
31
ref
"_28379"
198
ref
var
2579
def
63
ref
207
ref
297
ref
2390
ref
2579
remove
varTerm
2580
def
appTerm
appTerm
2392
ref
appTerm
appTerm
appTerm
207
ref
297
ref
2580
remove
appTerm
2391
ref
appTerm
appTerm
appTerm
absTerm
2581
def
1822
ref
appTerm
2582
def
appTerm
refl
2581
ref
2575
ref
appTerm
betaConv
appThm
123
ref
2582
remove
betaConv
appThm
63
ref
207
ref
297
ref
2390
remove
2575
ref
appTerm
appTerm
2392
ref
appTerm
appTerm
appTerm
207
ref
297
remove
2575
remove
appTerm
2391
remove
appTerm
appTerm
appTerm
refl
appThm
trans
2581
remove
refl
2576
remove
assume
appThm
eqMp
sym
277
ref
379
ref
2255
remove
nil
1761
ref
335
remove
cons
2560
remove
2432
remove
cons
2583
def
cons
nil
cons
cons
1761
ref
317
ref
450
remove
2045
remove
appTerm
appTerm
449
ref
451
ref
appTerm
1763
ref
appTerm
appTerm
absTerm
2584
def
1763
ref
appTerm
2585
def
betaConv
270
ref
332
ref
2584
ref
appTerm
2586
def
absTerm
2587
def
271
ref
appTerm
2588
def
betaConv
320
ref
332
ref
2587
ref
appTerm
2589
def
absTerm
2590
def
325
ref
appTerm
2591
def
betaConv
nil
332
ref
2590
ref
appTerm
2592
def
axiom
nil
74
ref
2592
remove
nil
cons
cons
75
ref
2591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2590
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2589
remove
nil
cons
cons
75
ref
2588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2587
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2586
remove
nil
cons
cons
75
ref
2585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2584
remove
nil
cons
cons
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2593
def
subst
appThm
2392
ref
refl
appThm
nil
1072
ref
320
ref
2392
ref
nil
cons
2594
def
cons
nil
cons
cons
nil
cons
cons
2366
ref
subst
trans
appThm
appThm
379
remove
nil
1072
remove
2561
remove
cons
nil
cons
cons
2366
remove
subst
appThm
appThm
nil
42
ref
207
ref
325
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
2577
remove
cons
121
ref
2569
remove
cons
nil
cons
2595
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2573
remove
cons
2595
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2566
ref
430
ref
appTerm
appTerm
2568
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
2567
remove
appTerm
2568
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2566
remove
nil
cons
cons
2595
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2553
remove
cons
121
ref
2555
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2444
remove
cons
121
ref
2438
remove
cons
nil
cons
2596
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2442
remove
cons
2596
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2435
ref
430
ref
appTerm
appTerm
2437
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
2436
remove
appTerm
2437
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2435
remove
nil
cons
cons
2596
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2413
ref
cons
121
ref
2421
ref
cons
nil
cons
2597
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
2424
ref
cons
2422
remove
cons
nil
cons
cons
2598
def
93
ref
subst
2598
remove
156
ref
subst
985
ref
82
ref
289
ref
986
ref
appTerm
appTerm
1777
ref
986
ref
appTerm
2392
remove
appTerm
appTerm
absTerm
2599
def
2389
remove
appTerm
betaConv
sym
1158
ref
nil
106
ref
2424
ref
cons
nil
cons
nil
cons
cons
113
ref
subst
2407
ref
assume
eqMp
2600
def
appThm
nil
2583
remove
nil
cons
cons
2545
ref
subst
appThm
1751
ref
trans
sym
112
ref
eqMp
eqMp
274
ref
269
ref
2599
ref
nil
cons
cons
334
ref
2430
remove
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
975
ref
2599
remove
appTerm
nil
cons
cons
75
ref
2415
ref
nil
cons
2601
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
1761
ref
2594
remove
cons
322
ref
cons
nil
cons
cons
1761
ref
76
ref
975
ref
270
ref
82
ref
1819
ref
appTerm
2602
def
1781
ref
1763
ref
appTerm
2603
def
appTerm
2604
def
absTerm
2605
def
appTerm
2606
def
appTerm
2607
def
326
ref
1763
ref
appTerm
2608
def
appTerm
2609
def
absTerm
2610
def
1763
ref
appTerm
2611
def
betaConv
320
ref
332
ref
2610
ref
appTerm
2612
def
absTerm
2613
def
325
ref
appTerm
2614
def
betaConv
nil
332
ref
320
ref
332
ref
270
ref
332
ref
1761
ref
76
ref
2604
ref
appTerm
2608
ref
appTerm
absTerm
2615
def
appTerm
2616
def
absTerm
2617
def
appTerm
2618
def
absTerm
2619
def
appTerm
2620
def
axiom
nil
74
ref
2620
ref
nil
cons
2621
def
cons
2622
def
75
ref
332
ref
2613
ref
appTerm
nil
cons
2623
def
cons
nil
cons
cons
nil
cons
cons
2624
def
144
ref
subst
proveHyp
2624
ref
93
ref
subst
2624
remove
156
ref
subst
nil
269
ref
2613
remove
nil
cons
cons
2625
def
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2612
remove
nil
cons
2626
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2610
remove
nil
cons
cons
2627
def
nil
cons
nil
cons
cons
276
ref
subst
1761
ref
nil
106
ref
2609
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2606
remove
nil
cons
2628
def
cons
2629
def
75
ref
2608
ref
nil
cons
2630
def
cons
nil
cons
2631
def
cons
nil
cons
cons
2632
def
93
ref
subst
2632
remove
156
ref
subst
nil
2622
ref
2631
ref
cons
nil
cons
cons
2633
def
144
ref
subst
nil
2629
remove
75
ref
76
ref
2620
remove
appTerm
2608
ref
appTerm
2634
def
nil
cons
2635
def
cons
nil
cons
2636
def
cons
nil
cons
cons
144
ref
subst
nil
269
ref
270
ref
76
ref
2605
ref
271
ref
appTerm
2637
def
appTerm
2634
ref
appTerm
2638
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2638
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2637
ref
nil
cons
2639
def
cons
2636
ref
cons
nil
cons
cons
2640
def
93
ref
subst
2640
remove
156
ref
subst
2637
ref
betaConv
2637
remove
assume
eqMp
nil
74
ref
2604
remove
nil
cons
2641
def
cons
2642
def
2636
remove
cons
nil
cons
cons
2643
def
144
ref
subst
proveHyp
2643
ref
93
ref
subst
2643
remove
156
ref
subst
2633
ref
93
ref
subst
2633
remove
156
ref
subst
nil
2642
remove
2631
ref
cons
nil
cons
cons
144
ref
subst
2615
ref
1763
ref
appTerm
2644
def
betaConv
2617
ref
271
ref
appTerm
2645
def
betaConv
2619
ref
325
ref
appTerm
2646
def
betaConv
nil
2622
remove
75
ref
2646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
2619
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2618
remove
nil
cons
cons
75
ref
2645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2617
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2616
remove
nil
cons
cons
75
ref
2644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2615
remove
nil
cons
cons
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2621
remove
cons
2647
def
121
ref
2630
remove
cons
nil
cons
2648
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
2641
remove
cons
121
ref
2635
remove
cons
nil
cons
2649
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2639
remove
cons
2649
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2605
ref
430
ref
appTerm
appTerm
2634
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
2607
remove
2634
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2605
remove
nil
cons
cons
2649
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2628
remove
cons
2648
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2647
remove
121
ref
2623
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
74
ref
2623
remove
cons
75
ref
2614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
2625
remove
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2626
remove
cons
75
ref
2611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
2627
remove
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
277
ref
315
ref
nil
106
ref
2601
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
2415
ref
assume
eqMp
2650
def
appThm
2406
remove
appThm
2416
ref
refl
appThm
nil
385
ref
2416
remove
nil
cons
cons
387
ref
2405
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1042
ref
subst
trans
appThm
315
ref
2600
remove
appThm
2426
remove
appThm
2651
def
2427
remove
appThm
2429
remove
1042
ref
subst
trans
appThm
sym
2501
remove
271
ref
appTerm
2652
def
betaConv
2510
remove
nil
2511
remove
75
ref
2652
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
2512
remove
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
2415
remove
appTerm
63
ref
2405
remove
appTerm
2653
def
2410
remove
2419
ref
appTerm
appTerm
appTerm
nil
cons
cons
75
ref
2653
ref
2409
remove
appTerm
2654
def
nil
cons
2655
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
346
ref
2650
remove
appThm
2653
remove
refl
2651
remove
2419
ref
refl
appThm
nil
385
ref
2419
remove
nil
cons
cons
2428
remove
cons
nil
cons
cons
1042
remove
subst
trans
appThm
appThm
nil
106
ref
2655
remove
cons
nil
cons
nil
cons
cons
2656
def
1194
ref
subst
trans
appThm
2654
remove
refl
appThm
2656
remove
1182
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
2425
ref
2597
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
106
ref
971
ref
109
ref
appTerm
2657
def
1216
remove
appTerm
absTerm
2658
def
2407
remove
appTerm
2659
def
betaConv
nil
252
ref
2658
ref
appTerm
2660
def
axiom
nil
74
ref
2660
remove
nil
cons
cons
75
ref
2659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
2658
remove
nil
cons
cons
58
ref
2424
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
2425
remove
121
ref
2413
remove
cons
1243
ref
2421
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
2387
remove
appTerm
nil
cons
cons
75
ref
2385
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
408
ref
2378
remove
nil
cons
cons
409
ref
2376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
437
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
307
ref
2384
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
320
ref
332
ref
270
ref
1502
remove
206
ref
447
ref
appTerm
325
ref
appTerm
appTerm
absTerm
2661
def
appTerm
2662
def
absTerm
2663
def
appTerm
2664
def
absTerm
2665
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2664
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2663
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2662
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2661
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
1504
remove
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2665
remove
appTerm
thm
nil
215
ref
409
ref
179
ref
408
ref
31
ref
417
ref
appTerm
420
ref
appTerm
2666
def
absTerm
2667
def
appTerm
2668
def
absTerm
2669
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
409
ref
nil
106
ref
2668
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
2667
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
408
ref
nil
106
ref
2666
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
422
remove
366
ref
subst
437
ref
nil
74
ref
76
ref
417
ref
appTerm
420
ref
appTerm
2670
def
nil
cons
2671
def
cons
75
ref
76
ref
420
ref
appTerm
417
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
421
ref
cons
75
ref
418
ref
cons
nil
cons
cons
nil
cons
cons
2672
def
93
ref
subst
2672
remove
156
ref
subst
31
ref
"_28361"
4
remove
var
2673
def
332
ref
270
ref
63
ref
206
ref
2673
remove
varTerm
appTerm
271
ref
appTerm
appTerm
415
ref
appTerm
absTerm
appTerm
absTerm
2674
def
410
remove
appTerm
2675
def
appTerm
refl
2674
ref
413
remove
appTerm
betaConv
appThm
123
ref
2675
remove
betaConv
appThm
332
ref
270
ref
63
ref
415
ref
appTerm
415
ref
appTerm
absTerm
appTerm
refl
appThm
trans
2674
remove
refl
420
remove
assume
appThm
eqMp
sym
429
ref
270
ref
nil
42
ref
415
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
absThm
appThm
436
ref
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
421
remove
cons
121
ref
418
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2669
remove
appTerm
thm
nil
215
ref
409
ref
179
ref
408
ref
2670
remove
absTerm
2676
def
appTerm
2677
def
absTerm
2678
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
409
remove
nil
106
ref
2677
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
ref
2676
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
408
remove
nil
106
ref
2671
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
437
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2678
remove
appTerm
thm
2129
remove
nil
2130
remove
thm
nil
215
ref
184
ref
332
ref
270
ref
1563
ref
2372
ref
1532
ref
appTerm
2679
def
1565
ref
272
ref
appTerm
261
ref
appTerm
appTerm
2680
def
appTerm
absTerm
2681
def
appTerm
2682
def
absTerm
2683
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2682
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2681
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
1610
ref
1611
ref
1500
remove
appThm
1501
remove
184
ref
1542
ref
1531
ref
451
ref
appTerm
appTerm
2372
ref
1531
ref
325
ref
appTerm
appTerm
1530
ref
439
ref
325
ref
appTerm
appTerm
271
ref
appTerm
appTerm
appTerm
2684
def
absTerm
2685
def
196
ref
appTerm
2686
def
betaConv
2687
def
320
ref
179
ref
2685
ref
appTerm
2688
def
absTerm
2689
def
325
ref
appTerm
2690
def
betaConv
2691
def
180
ref
184
ref
1610
ref
1611
ref
1719
remove
appThm
appThm
2372
ref
refl
2692
def
1548
ref
appThm
1530
ref
refl
2693
def
477
remove
appThm
407
ref
appThm
appThm
nil
279
ref
1532
ref
nil
cons
2694
def
cons
nil
cons
nil
cons
cons
2695
def
279
ref
1542
ref
2372
ref
261
ref
appTerm
281
ref
appTerm
appTerm
281
ref
appTerm
absTerm
2696
def
281
ref
appTerm
2697
def
betaConv
nil
307
ref
2696
ref
appTerm
2698
def
axiom
nil
74
ref
2698
remove
nil
cons
cons
75
ref
2697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2696
remove
nil
cons
cons
313
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
312
ref
2694
remove
cons
nil
cons
nil
cons
cons
1616
ref
subst
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
74
ref
179
ref
184
ref
1542
ref
1531
ref
1715
remove
appTerm
appTerm
2372
ref
1543
ref
appTerm
1530
ref
440
remove
appTerm
271
ref
appTerm
appTerm
appTerm
absTerm
appTerm
2699
def
nil
cons
cons
75
ref
332
ref
320
ref
76
ref
2688
ref
appTerm
179
ref
184
ref
1542
ref
1531
ref
1732
remove
appTerm
appTerm
2372
ref
1531
remove
1060
ref
appTerm
appTerm
1530
ref
439
remove
1060
ref
appTerm
appTerm
271
ref
appTerm
appTerm
appTerm
absTerm
2700
def
appTerm
2701
def
appTerm
2702
def
absTerm
2703
def
appTerm
2704
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2703
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2702
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2688
remove
nil
cons
2705
def
cons
2706
def
75
ref
2701
remove
nil
cons
2707
def
cons
nil
cons
cons
nil
cons
cons
2708
def
93
ref
subst
2708
remove
156
ref
subst
nil
215
ref
2700
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
1610
ref
1611
remove
1741
ref
appThm
nil
270
ref
451
ref
nil
cons
cons
nil
cons
nil
cons
cons
1576
ref
subst
1612
ref
1396
ref
2687
remove
nil
2706
remove
75
ref
2686
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
2709
def
214
ref
215
ref
2685
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
2710
def
eqMp
eqMp
subst
appThm
trans
trans
appThm
2692
remove
1116
ref
1576
ref
subst
appThm
2693
remove
1116
remove
1416
remove
subst
appThm
407
ref
appThm
appThm
nil
279
ref
1530
remove
2071
remove
325
ref
appTerm
appTerm
271
ref
appTerm
2711
def
nil
cons
cons
1577
ref
1567
ref
325
ref
appTerm
2712
def
nil
cons
cons
1580
remove
cons
cons
nil
cons
cons
1577
ref
1542
ref
2372
ref
1584
ref
appTerm
281
ref
appTerm
appTerm
1582
remove
2372
ref
1583
ref
appTerm
281
ref
appTerm
appTerm
appTerm
absTerm
2713
def
1583
ref
appTerm
2714
def
betaConv
584
ref
307
ref
2713
ref
appTerm
2715
def
absTerm
2716
def
587
ref
appTerm
2717
def
betaConv
279
ref
41
ref
2716
ref
appTerm
2718
def
absTerm
2719
def
281
ref
appTerm
2720
def
betaConv
nil
307
ref
2719
ref
appTerm
2721
def
axiom
nil
74
ref
2721
remove
nil
cons
cons
75
ref
2720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2719
remove
nil
cons
cons
313
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2718
remove
nil
cons
cons
75
ref
2717
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2716
remove
nil
cons
cons
607
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2715
remove
nil
cons
cons
75
ref
2714
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2713
remove
nil
cons
cons
1594
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
312
ref
1566
ref
2372
remove
2712
remove
appTerm
2711
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1616
ref
subst
trans
absThm
eqMp
eqMp
nil
119
ref
2705
remove
cons
121
ref
2707
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2699
remove
appTerm
2704
remove
appTerm
nil
cons
cons
75
ref
332
ref
2689
ref
appTerm
nil
cons
2722
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2689
ref
318
ref
appTerm
betaConv
appThm
429
ref
320
ref
346
ref
2691
ref
appThm
2689
ref
1060
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
320
ref
2691
remove
absThm
appThm
appThm
nil
1421
ref
2689
remove
nil
cons
2723
def
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
nil
74
ref
2722
remove
cons
75
ref
2690
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2723
remove
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2709
remove
proveHyp
2710
remove
eqMp
eqMp
2724
def
subst
2679
remove
refl
nil
184
ref
447
remove
nil
cons
cons
nil
cons
nil
cons
cons
1613
remove
subst
1565
remove
refl
2725
def
1621
remove
1644
ref
196
ref
appTerm
2726
def
betaConv
1642
remove
nil
74
ref
1645
remove
nil
cons
cons
75
ref
2726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1644
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1643
remove
nil
cons
cons
75
ref
1620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1618
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
appThm
261
ref
refl
2727
def
appThm
trans
appThm
trans
trans
appThm
2680
ref
refl
appThm
nil
312
ref
2680
remove
nil
cons
cons
nil
cons
nil
cons
cons
1616
ref
subst
trans
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2683
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
270
ref
332
ref
"i"
198
ref
var
2728
def
76
ref
288
ref
2728
ref
varTerm
2729
def
appTerm
2730
def
271
ref
appTerm
2731
def
appTerm
63
ref
292
ref
1532
ref
appTerm
2732
def
2729
ref
appTerm
appTerm
207
ref
2729
ref
appTerm
2733
def
appTerm
appTerm
2734
def
absTerm
2735
def
appTerm
2736
def
absTerm
2737
def
appTerm
2738
def
absTerm
2739
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2738
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2737
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2736
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2735
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
2734
ref
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
2734
remove
absTerm
2740
def
271
ref
appTerm
2741
def
betaConv
2742
def
184
ref
332
ref
2740
ref
appTerm
2743
def
absTerm
2744
def
196
ref
appTerm
2745
def
betaConv
2746
def
2728
ref
179
ref
2744
ref
appTerm
2747
def
absTerm
2748
def
2729
ref
appTerm
2749
def
betaConv
2750
def
nil
215
ref
184
ref
332
ref
270
ref
76
ref
2217
remove
appTerm
63
ref
2732
ref
318
ref
appTerm
appTerm
1460
ref
appTerm
appTerm
2751
def
absTerm
2752
def
appTerm
2753
def
absTerm
2754
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2753
remove
nil
cons
2755
def
cons
nil
cons
nil
cons
cons
113
ref
subst
346
ref
446
remove
270
ref
324
ref
289
ref
271
ref
appTerm
2756
def
appTerm
2757
def
absTerm
2758
def
271
ref
appTerm
2759
def
betaConv
nil
332
ref
2758
ref
appTerm
2760
def
axiom
nil
74
ref
2760
remove
nil
cons
cons
75
ref
2759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2758
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2757
remove
nil
cons
cons
75
ref
31
ref
2756
ref
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
119
ref
2756
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
eqMp
subst
appThm
63
ref
292
ref
1543
ref
appTerm
2761
def
318
ref
appTerm
appTerm
1460
ref
appTerm
2762
def
refl
appThm
nil
106
ref
2762
ref
nil
cons
cons
nil
cons
nil
cons
cons
1164
ref
subst
trans
sym
112
ref
eqMp
nil
74
ref
76
ref
2211
ref
318
ref
appTerm
appTerm
2762
remove
appTerm
2763
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
2751
ref
appTerm
76
ref
2211
remove
977
ref
appTerm
2764
def
appTerm
63
ref
292
ref
1554
ref
appTerm
2765
def
318
ref
appTerm
appTerm
1460
ref
appTerm
2766
def
appTerm
2767
def
appTerm
2768
def
absTerm
2769
def
appTerm
2770
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2769
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2768
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2751
remove
nil
cons
2771
def
cons
75
ref
2767
remove
nil
cons
2772
def
cons
nil
cons
cons
nil
cons
cons
2773
def
93
ref
subst
2773
remove
156
ref
subst
nil
74
ref
2764
ref
nil
cons
2774
def
cons
75
ref
2766
remove
nil
cons
2775
def
cons
nil
cons
cons
nil
cons
cons
2776
def
93
ref
subst
2776
remove
156
ref
subst
292
ref
refl
2777
def
1576
ref
2725
remove
1475
ref
appThm
1568
ref
refl
appThm
trans
2778
def
appThm
1458
ref
appThm
nil
1578
remove
584
ref
1624
remove
cons
nil
cons
cons
nil
cons
cons
2779
def
2229
remove
subst
trans
eqMp
nil
119
ref
2774
ref
cons
2780
def
121
ref
2775
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
2771
remove
cons
121
ref
2772
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2763
remove
appTerm
2770
remove
appTerm
nil
cons
cons
75
ref
2755
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2752
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
2752
ref
271
ref
appTerm
betaConv
2781
def
appThm
2752
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
2781
remove
absThm
appThm
appThm
nil
1421
ref
2752
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
179
ref
2754
remove
appTerm
2782
def
nil
cons
cons
75
ref
332
ref
2728
ref
76
ref
2747
ref
appTerm
179
ref
184
ref
332
ref
270
ref
76
ref
288
ref
976
ref
2729
ref
appTerm
2783
def
appTerm
2784
def
271
ref
appTerm
appTerm
63
ref
2732
remove
2783
ref
appTerm
appTerm
207
ref
2783
ref
appTerm
2785
def
appTerm
appTerm
2786
def
absTerm
2787
def
appTerm
2788
def
absTerm
2789
def
appTerm
2790
def
appTerm
2791
def
absTerm
2792
def
appTerm
2793
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2792
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
2791
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2747
remove
nil
cons
2794
def
cons
2795
def
75
ref
2790
remove
nil
cons
2796
def
cons
nil
cons
cons
nil
cons
cons
2797
def
93
ref
subst
2797
remove
156
ref
subst
nil
215
ref
2789
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2788
remove
nil
cons
2798
def
cons
nil
cons
nil
cons
cons
113
ref
subst
346
ref
nil
320
ref
2783
ref
nil
cons
2799
def
cons
nil
cons
nil
cons
cons
377
ref
subst
appThm
63
ref
2761
remove
2783
ref
appTerm
appTerm
2785
ref
appTerm
2800
def
refl
appThm
nil
106
ref
2800
ref
nil
cons
cons
nil
cons
nil
cons
cons
1164
ref
subst
trans
sym
112
ref
eqMp
nil
74
ref
76
ref
2784
ref
318
ref
appTerm
appTerm
2800
remove
appTerm
2801
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
2786
ref
appTerm
76
ref
2784
remove
977
ref
appTerm
appTerm
63
ref
2765
remove
2783
ref
appTerm
appTerm
2785
ref
appTerm
2802
def
appTerm
2803
def
appTerm
2804
def
absTerm
2805
def
appTerm
2806
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2805
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2804
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2786
remove
nil
cons
2807
def
cons
75
ref
2803
remove
nil
cons
2808
def
cons
nil
cons
cons
nil
cons
cons
2809
def
93
ref
subst
2809
remove
156
ref
subst
346
ref
nil
320
ref
2729
ref
nil
cons
2810
def
cons
nil
cons
2811
def
nil
cons
cons
2812
def
2252
ref
subst
2813
def
appThm
2802
ref
refl
appThm
sym
nil
74
ref
2731
ref
nil
cons
2814
def
cons
2815
def
75
ref
2802
remove
nil
cons
2816
def
cons
nil
cons
cons
nil
cons
cons
2817
def
93
ref
subst
2817
remove
156
ref
subst
277
ref
2777
remove
1576
ref
appThm
2783
ref
refl
2818
def
appThm
appThm
nil
270
ref
2810
ref
cons
2819
def
nil
cons
2820
def
nil
cons
cons
2821
def
1507
ref
subst
appThm
sym
61
ref
82
ref
63
ref
292
ref
1569
ref
appTerm
2783
ref
appTerm
2822
def
appTerm
2823
def
65
ref
appTerm
appTerm
67
ref
1491
ref
2729
ref
appTerm
2824
def
appTerm
appTerm
absTerm
2825
def
292
remove
1568
ref
appTerm
2729
ref
appTerm
2826
def
appTerm
betaConv
sym
2730
ref
refl
1396
ref
1537
remove
1603
ref
196
ref
appTerm
2827
def
betaConv
1601
remove
nil
74
ref
1604
remove
nil
cons
cons
75
ref
2827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
ref
215
ref
1603
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1602
remove
nil
cons
cons
75
ref
1536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1534
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
nil
106
ref
2814
ref
cons
nil
cons
nil
cons
cons
113
ref
subst
2731
ref
assume
eqMp
2828
def
trans
sym
112
ref
eqMp
nil
74
ref
2730
ref
290
remove
1568
remove
appTerm
appTerm
nil
cons
cons
75
ref
2823
ref
2826
ref
appTerm
nil
cons
2829
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
2819
ref
1581
remove
cons
nil
cons
cons
2306
remove
subst
eqMp
nil
74
ref
2829
remove
cons
75
ref
63
ref
2826
ref
appTerm
2824
ref
appTerm
nil
cons
cons
nil
cons
2830
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
2815
remove
2830
remove
cons
nil
cons
cons
144
ref
subst
1396
ref
2742
remove
2746
remove
nil
2795
remove
75
ref
2745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
2831
def
214
ref
215
ref
2744
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
2832
def
eqMp
eqMp
nil
74
ref
2743
remove
nil
cons
cons
75
ref
2741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
2833
def
proveHyp
274
ref
269
ref
2740
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
2834
def
eqMp
eqMp
subst
eqMp
eqMp
eqMp
146
ref
147
ref
2825
ref
nil
cons
cons
42
ref
2826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
618
ref
2825
remove
appTerm
nil
cons
cons
75
ref
2823
remove
2824
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
1028
ref
2824
remove
nil
cons
cons
42
ref
2822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1028
ref
76
ref
618
ref
61
ref
82
ref
66
remove
appTerm
67
remove
1028
ref
varTerm
2835
def
appTerm
appTerm
2836
def
absTerm
2837
def
appTerm
2838
def
appTerm
2839
def
64
ref
2835
ref
appTerm
2840
def
appTerm
2841
def
absTerm
2842
def
2835
ref
appTerm
2843
def
betaConv
42
ref
41
ref
2842
ref
appTerm
2844
def
absTerm
2845
def
46
ref
appTerm
2846
def
betaConv
nil
41
ref
42
ref
41
ref
61
ref
41
ref
1028
ref
76
ref
2836
ref
appTerm
2840
ref
appTerm
absTerm
2847
def
appTerm
2848
def
absTerm
2849
def
appTerm
2850
def
absTerm
2851
def
appTerm
2852
def
axiom
nil
74
ref
2852
ref
nil
cons
2853
def
cons
2854
def
75
ref
41
ref
2845
ref
appTerm
nil
cons
2855
def
cons
nil
cons
cons
nil
cons
cons
2856
def
144
ref
subst
proveHyp
2856
ref
93
ref
subst
2856
remove
156
ref
subst
nil
147
ref
2845
remove
nil
cons
cons
2857
def
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
2844
remove
nil
cons
2858
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
147
ref
2842
remove
nil
cons
cons
2859
def
nil
cons
nil
cons
cons
265
ref
subst
1028
ref
nil
106
ref
2841
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2838
remove
nil
cons
2860
def
cons
2861
def
75
ref
2840
ref
nil
cons
2862
def
cons
nil
cons
2863
def
cons
nil
cons
cons
2864
def
93
ref
subst
2864
remove
156
ref
subst
nil
2854
ref
2863
ref
cons
nil
cons
cons
2865
def
144
ref
subst
nil
2861
remove
75
ref
76
ref
2852
remove
appTerm
2840
remove
appTerm
2866
def
nil
cons
2867
def
cons
nil
cons
2868
def
cons
nil
cons
cons
144
ref
subst
nil
147
ref
61
ref
76
ref
2837
ref
65
ref
appTerm
2869
def
appTerm
2866
ref
appTerm
2870
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
61
ref
nil
106
ref
2870
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2869
ref
nil
cons
2871
def
cons
2868
ref
cons
nil
cons
cons
2872
def
93
ref
subst
2872
remove
156
ref
subst
2869
ref
betaConv
2869
remove
assume
eqMp
nil
74
ref
2836
remove
nil
cons
2873
def
cons
2874
def
2868
remove
cons
nil
cons
cons
2875
def
144
ref
subst
proveHyp
2875
ref
93
ref
subst
2875
remove
156
ref
subst
2865
ref
93
ref
subst
2865
remove
156
ref
subst
nil
2874
remove
2863
remove
cons
nil
cons
cons
144
ref
subst
2847
ref
2835
ref
appTerm
2876
def
betaConv
2849
ref
65
ref
appTerm
2877
def
betaConv
2851
ref
46
ref
appTerm
2878
def
betaConv
nil
2854
remove
75
ref
2878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
146
ref
147
ref
2851
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2850
remove
nil
cons
cons
75
ref
2877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2849
remove
nil
cons
cons
168
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2848
remove
nil
cons
cons
75
ref
2876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2847
remove
nil
cons
cons
42
ref
2835
remove
nil
cons
cons
nil
cons
2879
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2853
remove
cons
2880
def
121
ref
2862
remove
cons
nil
cons
2881
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
2873
remove
cons
121
ref
2867
remove
cons
nil
cons
2882
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2871
remove
cons
2882
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
ref
"x'"
2
ref
var
2883
def
76
ref
2837
ref
2883
remove
varTerm
appTerm
appTerm
2866
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
2839
remove
2866
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2837
remove
nil
cons
cons
2882
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2860
remove
cons
2881
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2880
remove
121
ref
2855
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
74
ref
2855
remove
cons
75
ref
2846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
2857
remove
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2858
remove
cons
75
ref
2843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
2859
remove
2879
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
119
ref
2814
remove
cons
2884
def
121
ref
2816
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2807
remove
cons
121
ref
2808
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2801
remove
appTerm
2806
remove
appTerm
nil
cons
cons
75
ref
2798
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2787
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
2787
ref
271
ref
appTerm
betaConv
2885
def
appThm
2787
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
2885
remove
absThm
appThm
appThm
nil
1421
ref
2787
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
2794
remove
cons
121
ref
2796
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2782
remove
appTerm
2793
remove
appTerm
nil
cons
cons
75
ref
332
ref
2748
ref
appTerm
nil
cons
2886
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2748
ref
318
ref
appTerm
betaConv
appThm
429
ref
2728
ref
346
ref
2750
ref
appThm
2748
ref
2783
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
2728
ref
2750
remove
absThm
appThm
appThm
nil
1421
ref
2748
remove
nil
cons
2887
def
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
nil
74
ref
2886
remove
cons
75
ref
2749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2887
remove
cons
334
ref
2810
ref
cons
nil
cons
2888
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2831
remove
proveHyp
2832
remove
eqMp
eqMp
2833
remove
proveHyp
2834
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2739
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
320
ref
332
ref
270
ref
2684
ref
absTerm
2889
def
appTerm
2890
def
absTerm
2891
def
appTerm
2892
def
absTerm
2893
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2892
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2891
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
2890
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2889
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2684
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
2724
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2893
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
270
ref
63
ref
272
remove
appTerm
593
remove
1463
ref
appTerm
1491
ref
598
ref
appTerm
appTerm
appTerm
2894
def
absTerm
2895
def
appTerm
2896
def
absTerm
2897
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2896
remove
nil
cons
2898
def
cons
nil
cons
nil
cons
cons
113
ref
subst
1461
ref
refl
nil
1028
remove
1491
ref
1006
ref
appTerm
2899
def
nil
cons
cons
61
ref
1579
ref
cons
1030
ref
cons
cons
nil
cons
cons
1044
remove
subst
1475
remove
trans
appThm
1625
ref
trans
sym
112
ref
eqMp
nil
74
ref
1461
remove
1004
remove
1463
ref
appTerm
2899
remove
appTerm
appTerm
2900
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
2894
ref
appTerm
1490
remove
285
remove
1118
ref
appTerm
1463
ref
appTerm
1491
ref
1125
ref
appTerm
appTerm
appTerm
2901
def
appTerm
2902
def
absTerm
2903
def
appTerm
2904
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2903
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2902
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2894
remove
nil
cons
2905
def
cons
75
ref
2901
remove
nil
cons
2906
def
cons
nil
cons
cons
nil
cons
cons
2907
def
93
ref
subst
2907
remove
156
ref
subst
277
ref
1507
remove
appThm
315
remove
1123
ref
appThm
1463
remove
refl
appThm
1491
remove
refl
1129
ref
appThm
appThm
nil
385
remove
1638
remove
cons
387
remove
1579
remove
cons
nil
cons
cons
nil
cons
cons
399
ref
subst
trans
appThm
1639
remove
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
2905
remove
cons
121
ref
2906
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2900
remove
appTerm
2904
remove
appTerm
nil
cons
cons
75
ref
2898
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2895
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
2895
ref
271
ref
appTerm
betaConv
2908
def
appThm
2895
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
2908
remove
absThm
appThm
appThm
nil
1421
ref
2895
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
179
ref
2897
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
270
ref
41
ref
42
ref
31
ref
"Data.List.member"
const
0
ref
2
ref
1541
remove
cons
opType
constTerm
46
ref
appTerm
2909
def
1532
ref
appTerm
appTerm
975
ref
2728
ref
82
ref
2731
remove
appTerm
2910
def
64
ref
2733
remove
appTerm
2911
def
appTerm
absTerm
appTerm
2912
def
appTerm
2913
def
absTerm
2914
def
appTerm
2915
def
absTerm
2916
def
appTerm
2917
def
absTerm
2918
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2917
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
2916
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2915
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
147
ref
2914
remove
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
2913
ref
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
184
ref
2913
remove
absTerm
2919
def
196
ref
appTerm
2920
def
betaConv
2921
def
270
ref
179
ref
2919
ref
appTerm
2922
def
absTerm
2923
def
271
ref
appTerm
2924
def
betaConv
2925
def
180
ref
184
ref
123
ref
2909
ref
refl
2926
def
1548
ref
appThm
42
ref
324
ref
2909
ref
261
ref
appTerm
2927
def
appTerm
2928
def
absTerm
2929
def
46
ref
appTerm
2930
def
betaConv
nil
41
ref
2929
ref
appTerm
2931
def
axiom
nil
74
ref
2931
remove
nil
cons
cons
75
ref
2930
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2929
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2928
remove
nil
cons
cons
75
ref
31
ref
2927
ref
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
119
ref
2927
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
remove
subst
eqMp
trans
appThm
1831
ref
2728
ref
1158
ref
2812
ref
377
remove
subst
appThm
2911
ref
refl
appThm
nil
106
ref
2911
ref
nil
cons
cons
nil
cons
nil
cons
cons
1225
ref
subst
trans
absThm
appThm
1932
remove
275
ref
106
ref
31
ref
618
ref
249
remove
appTerm
appTerm
109
ref
appTerm
absTerm
2932
def
109
ref
appTerm
2933
def
betaConv
nil
252
ref
2932
ref
appTerm
2934
def
axiom
nil
74
ref
2934
remove
nil
cons
cons
75
ref
2933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
2932
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
1937
ref
trans
absThm
appThm
258
ref
trans
sym
112
ref
eqMp
nil
74
ref
179
ref
184
ref
31
ref
2909
ref
1543
remove
appTerm
appTerm
975
ref
2728
ref
82
ref
2730
ref
318
ref
appTerm
appTerm
2911
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
2935
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
2922
ref
appTerm
179
ref
184
ref
31
ref
2909
ref
1554
remove
appTerm
appTerm
975
ref
2728
ref
82
ref
2730
ref
977
ref
appTerm
appTerm
2911
remove
appTerm
2936
def
absTerm
2937
def
appTerm
2938
def
appTerm
2939
def
absTerm
2940
def
appTerm
2941
def
appTerm
2942
def
absTerm
2943
def
appTerm
2944
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2943
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
2942
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2922
remove
nil
cons
2945
def
cons
2946
def
75
ref
2941
remove
nil
cons
2947
def
cons
nil
cons
cons
nil
cons
cons
2948
def
93
ref
subst
2948
remove
156
ref
subst
nil
215
ref
2940
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
2939
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
123
ref
2926
remove
2778
remove
appThm
2779
remove
1577
remove
31
ref
2909
ref
1584
remove
appTerm
appTerm
971
ref
64
ref
587
ref
appTerm
appTerm
2909
ref
1583
ref
appTerm
appTerm
appTerm
absTerm
2949
def
1583
remove
appTerm
2950
def
betaConv
584
remove
307
ref
2949
ref
appTerm
2951
def
absTerm
2952
def
587
remove
appTerm
2953
def
betaConv
42
ref
41
ref
2952
ref
appTerm
2954
def
absTerm
2955
def
46
ref
appTerm
2956
def
betaConv
nil
41
ref
2955
ref
appTerm
2957
def
axiom
nil
74
ref
2957
remove
nil
cons
cons
75
ref
2956
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2955
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2954
remove
nil
cons
cons
75
ref
2953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
2952
remove
nil
cons
cons
607
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2951
remove
nil
cons
cons
75
ref
2950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
ref
311
ref
2949
remove
nil
cons
cons
1594
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
971
ref
64
ref
1460
remove
appTerm
2958
def
appTerm
2959
def
refl
1396
remove
2921
remove
nil
2946
remove
75
ref
2920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
2960
def
214
ref
215
ref
2919
remove
nil
cons
cons
218
ref
cons
nil
cons
cons
167
ref
subst
2961
def
eqMp
eqMp
subst
1831
ref
2728
ref
2910
ref
refl
64
ref
refl
2821
ref
270
ref
63
ref
1492
remove
appTerm
1489
remove
appTerm
2962
def
absTerm
2963
def
271
ref
appTerm
2964
def
betaConv
184
ref
332
ref
2963
ref
appTerm
2965
def
absTerm
2966
def
196
remove
appTerm
2967
def
betaConv
180
ref
184
ref
429
ref
270
ref
2962
remove
assume
sym
1493
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1505
remove
eqMp
nil
74
ref
179
ref
2966
ref
appTerm
nil
cons
cons
75
ref
2967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
214
remove
215
ref
2966
remove
nil
cons
cons
218
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
2965
remove
nil
cons
cons
75
ref
2964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2963
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
appThm
absThm
appThm
trans
appThm
trans
trans
appThm
2938
ref
refl
appThm
sym
nil
74
ref
2959
remove
975
ref
2728
ref
2910
remove
64
ref
2785
ref
appTerm
2968
def
appTerm
2969
def
absTerm
2970
def
appTerm
2971
def
appTerm
2972
def
nil
cons
2973
def
cons
75
ref
2938
ref
nil
cons
2974
def
cons
nil
cons
2975
def
cons
nil
cons
cons
2976
def
366
ref
subst
2976
ref
93
ref
subst
2976
remove
156
ref
subst
nil
269
ref
2728
ref
76
ref
2970
ref
2729
ref
appTerm
2977
def
appTerm
2938
ref
appTerm
2978
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
2978
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2977
ref
nil
cons
2979
def
cons
2975
ref
cons
nil
cons
cons
2980
def
93
ref
subst
2980
remove
156
ref
subst
2977
ref
betaConv
2977
remove
assume
eqMp
nil
74
ref
2969
remove
nil
cons
2981
def
cons
2975
ref
cons
nil
cons
cons
2982
def
144
ref
subst
proveHyp
2982
ref
93
ref
subst
2982
remove
156
ref
subst
nil
2884
remove
121
ref
2968
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2983
def
135
ref
subst
2983
remove
365
ref
subst
2937
ref
2783
ref
appTerm
betaConv
sym
1158
ref
2813
remove
2828
remove
trans
appThm
277
ref
2968
remove
assume
appThm
2785
ref
refl
appThm
nil
42
ref
2785
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
appThm
1751
ref
trans
sym
112
ref
eqMp
eqMp
274
ref
269
ref
2937
ref
nil
cons
cons
2984
def
334
ref
2799
remove
cons
nil
cons
2985
def
cons
nil
cons
cons
778
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
119
ref
2981
remove
cons
121
ref
2974
ref
cons
nil
cons
2986
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
2979
remove
cons
2986
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2970
ref
430
ref
appTerm
appTerm
2938
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
2971
ref
appTerm
2938
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2970
ref
nil
cons
cons
2987
def
2986
ref
cons
nil
cons
cons
799
ref
subst
eqMp
nil
74
ref
2958
ref
nil
cons
2988
def
cons
2975
remove
cons
nil
cons
cons
2989
def
93
ref
subst
2989
remove
156
ref
subst
2937
ref
318
ref
appTerm
betaConv
sym
1158
ref
nil
106
ref
2774
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
2764
ref
absTerm
2990
def
271
ref
appTerm
2991
def
betaConv
nil
332
ref
2990
ref
appTerm
2992
def
axiom
nil
74
ref
2992
remove
nil
cons
cons
75
ref
2991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
2990
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
appThm
277
ref
2958
ref
assume
appThm
1623
remove
appThm
1625
remove
trans
appThm
1751
ref
trans
sym
112
ref
eqMp
eqMp
274
ref
2984
ref
1030
ref
cons
nil
cons
cons
778
ref
subst
proveHyp
eqMp
nil
119
ref
2988
ref
cons
2993
def
2986
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
2993
ref
121
ref
2971
remove
nil
cons
cons
2994
def
1243
ref
2974
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
eqMp
nil
119
ref
2973
ref
cons
2986
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
76
ref
2972
ref
appTerm
2938
ref
appTerm
nil
cons
cons
75
ref
76
ref
2938
remove
appTerm
2972
ref
appTerm
nil
cons
cons
nil
cons
2995
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2728
ref
76
ref
2937
ref
2729
ref
appTerm
2996
def
appTerm
2972
ref
appTerm
2997
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
2997
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
2996
ref
nil
cons
2998
def
cons
75
ref
2973
ref
cons
nil
cons
2999
def
cons
nil
cons
cons
3000
def
93
ref
subst
3000
remove
156
ref
subst
2996
ref
betaConv
2996
remove
assume
eqMp
nil
74
ref
2936
ref
nil
cons
cons
2999
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
978
remove
2729
ref
appTerm
3001
def
betaConv
981
remove
nil
982
remove
75
ref
3001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
983
remove
2888
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
971
ref
317
ref
2729
ref
appTerm
3002
def
318
ref
appTerm
3003
def
appTerm
975
ref
270
ref
3002
ref
977
ref
appTerm
absTerm
3004
def
appTerm
3005
def
appTerm
nil
cons
3006
def
cons
75
ref
76
ref
2936
remove
appTerm
2972
ref
appTerm
3007
def
nil
cons
3008
def
cons
nil
cons
3009
def
cons
nil
cons
cons
3010
def
144
ref
subst
proveHyp
3010
ref
93
ref
subst
3010
remove
156
ref
subst
nil
269
ref
320
ref
76
ref
3004
ref
325
ref
appTerm
3011
def
appTerm
3007
ref
appTerm
3012
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
3012
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3011
ref
nil
cons
3013
def
cons
3009
ref
cons
nil
cons
cons
3014
def
93
ref
subst
3014
remove
156
ref
subst
3011
ref
betaConv
3011
remove
assume
eqMp
nil
74
ref
3002
remove
1060
ref
appTerm
3015
def
nil
cons
3016
def
cons
3009
ref
cons
nil
cons
cons
3017
def
144
ref
subst
proveHyp
3017
ref
93
ref
subst
3017
remove
156
ref
subst
31
ref
"_28395"
198
ref
var
3018
def
76
ref
82
ref
288
ref
3018
remove
varTerm
3019
def
appTerm
977
ref
appTerm
appTerm
64
ref
207
ref
3019
remove
appTerm
appTerm
appTerm
appTerm
2972
ref
appTerm
absTerm
3020
def
2729
ref
appTerm
3021
def
appTerm
refl
3022
def
3020
ref
1060
ref
appTerm
betaConv
appThm
123
ref
3021
remove
betaConv
appThm
3023
def
76
ref
82
ref
2245
remove
appTerm
64
ref
1413
ref
appTerm
3024
def
appTerm
appTerm
2972
ref
appTerm
refl
appThm
trans
3020
remove
refl
3025
def
3015
remove
assume
appThm
eqMp
sym
346
ref
1158
ref
2252
remove
appThm
3024
ref
refl
appThm
appThm
2972
ref
refl
appThm
sym
nil
74
ref
2602
ref
3024
ref
appTerm
nil
cons
3026
def
cons
2999
ref
cons
nil
cons
cons
3027
def
93
ref
subst
3027
remove
156
ref
subst
nil
119
ref
1819
ref
nil
cons
3028
def
cons
121
ref
3024
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3029
def
135
ref
subst
3029
remove
365
ref
subst
2970
remove
325
ref
appTerm
betaConv
sym
1158
ref
nil
106
ref
3028
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
1819
ref
assume
eqMp
appThm
277
ref
3024
remove
assume
appThm
1413
ref
refl
appThm
nil
42
ref
1413
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
appThm
1751
ref
trans
sym
112
ref
eqMp
eqMp
274
ref
2987
remove
336
ref
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
2993
remove
2994
remove
nil
cons
cons
nil
cons
cons
3030
def
1258
remove
sym
3031
def
nil
254
ref
106
ref
76
ref
368
remove
109
ref
appTerm
3032
def
appTerm
76
ref
1244
remove
109
ref
appTerm
3033
def
appTerm
109
ref
appTerm
3034
def
appTerm
3035
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
764
remove
subst
3036
def
106
ref
nil
106
ref
3035
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
3037
def
nil
74
ref
3032
ref
nil
cons
3038
def
cons
75
ref
3034
remove
nil
cons
3039
def
cons
nil
cons
cons
nil
cons
cons
3040
def
93
ref
subst
3041
def
3040
remove
156
ref
subst
3042
def
nil
74
ref
3033
ref
nil
cons
3043
def
cons
75
ref
255
ref
cons
nil
cons
3044
def
cons
nil
cons
cons
3045
def
93
ref
subst
3046
def
3045
remove
156
ref
subst
3047
def
nil
74
ref
767
remove
cons
3044
ref
cons
nil
cons
cons
144
ref
subst
3033
remove
assume
eqMp
eqMp
nil
119
ref
3043
remove
cons
121
ref
255
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
3048
def
deductAntisym
eqMp
eqMp
nil
119
ref
3038
remove
cons
121
ref
3039
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
3049
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
3050
def
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
119
ref
3026
remove
cons
121
ref
2973
remove
cons
nil
cons
3051
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3016
remove
cons
121
ref
3008
ref
cons
nil
cons
3052
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3013
remove
cons
3052
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
3004
ref
430
ref
appTerm
appTerm
3007
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
3005
ref
appTerm
3007
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3004
remove
nil
cons
cons
3052
ref
cons
nil
cons
cons
799
ref
subst
eqMp
nil
74
ref
3003
ref
nil
cons
3053
def
cons
3009
remove
cons
nil
cons
cons
3054
def
93
ref
subst
3054
remove
156
ref
subst
3022
remove
"_28393"
198
ref
var
3055
def
76
ref
82
ref
288
ref
3055
remove
varTerm
3056
def
appTerm
977
ref
appTerm
appTerm
64
remove
207
remove
3056
remove
appTerm
appTerm
appTerm
appTerm
2972
ref
appTerm
absTerm
318
ref
appTerm
betaConv
appThm
3023
remove
76
ref
82
ref
2764
remove
appTerm
2958
remove
appTerm
3057
def
appTerm
2972
ref
appTerm
refl
appThm
trans
3025
remove
3003
remove
assume
appThm
eqMp
sym
nil
74
ref
3057
remove
nil
cons
3058
def
cons
2999
remove
cons
nil
cons
cons
3059
def
93
ref
subst
3059
remove
156
ref
subst
nil
2780
remove
121
ref
2988
remove
cons
nil
cons
cons
nil
cons
cons
365
ref
subst
3030
remove
3031
remove
3036
remove
106
ref
3037
remove
3041
remove
3042
remove
3046
remove
3047
remove
nil
343
remove
3044
remove
cons
nil
cons
cons
144
ref
subst
3032
remove
assume
eqMp
eqMp
3048
remove
deductAntisym
eqMp
eqMp
3049
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
3060
def
subst
proveHyp
eqMp
nil
119
ref
3058
remove
cons
3051
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3053
remove
cons
3061
def
3052
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3061
remove
121
ref
3005
remove
nil
cons
cons
1243
ref
3008
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
eqMp
nil
119
ref
3006
remove
cons
3052
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
2998
remove
cons
3051
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
2937
remove
430
ref
appTerm
appTerm
2972
remove
appTerm
absTerm
appTerm
nil
cons
cons
2995
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
2984
remove
3051
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
2945
remove
cons
121
ref
2947
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
2935
remove
appTerm
2944
remove
appTerm
nil
cons
cons
75
ref
332
ref
2923
ref
appTerm
nil
cons
3062
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
2923
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
2925
ref
appThm
2923
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
2925
remove
absThm
appThm
appThm
nil
1421
ref
2923
remove
nil
cons
3063
def
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
nil
74
ref
3062
remove
cons
75
ref
2924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3063
remove
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
2960
remove
proveHyp
2961
remove
eqMp
eqMp
3064
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
179
ref
2918
remove
appTerm
thm
nil
215
ref
184
ref
332
ref
270
ref
1542
remove
1532
ref
appTerm
283
remove
0
ref
26
ref
2371
remove
nil
cons
cons
opType
constTerm
3065
def
592
remove
appTerm
261
ref
appTerm
1566
ref
1567
ref
598
remove
appTerm
appTerm
appTerm
appTerm
3066
def
absTerm
3067
def
appTerm
3068
def
absTerm
3069
def
nil
cons
cons
nil
cons
nil
cons
cons
266
ref
subst
184
ref
nil
106
ref
3068
remove
nil
cons
3070
def
cons
nil
cons
nil
cons
cons
113
ref
subst
1610
ref
1548
remove
appThm
nil
"z"
259
ref
var
1566
ref
1567
ref
1006
remove
appTerm
appTerm
3071
def
nil
cons
cons
"y"
259
ref
var
280
ref
cons
1030
ref
cons
cons
nil
cons
cons
224
ref
"B"
309
remove
cons
nil
cons
cons
18
ref
cons
1043
remove
subst
subst
appThm
nil
312
ref
280
ref
cons
nil
cons
nil
cons
cons
1616
ref
subst
trans
sym
112
ref
eqMp
nil
74
ref
1544
remove
3065
ref
1003
remove
appTerm
261
ref
appTerm
3071
remove
appTerm
appTerm
3072
def
nil
cons
cons
75
ref
332
ref
270
ref
76
ref
3066
ref
appTerm
1563
remove
3065
ref
1118
remove
appTerm
261
remove
appTerm
1566
remove
1567
ref
1125
remove
appTerm
appTerm
appTerm
appTerm
3073
def
appTerm
3074
def
absTerm
3075
def
appTerm
3076
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
3075
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3074
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3066
remove
nil
cons
3077
def
cons
75
ref
3073
remove
nil
cons
3078
def
cons
nil
cons
cons
nil
cons
cons
3079
def
93
ref
subst
3079
remove
156
ref
subst
1610
remove
1576
remove
appThm
3065
remove
refl
1123
remove
appThm
2727
remove
appThm
1612
remove
1567
remove
refl
1129
remove
appThm
appThm
appThm
nil
"t2"
259
ref
var
1569
remove
nil
cons
3080
def
cons
"t1"
259
ref
var
280
remove
cons
nil
cons
cons
nil
cons
cons
1615
remove
399
remove
subst
subst
trans
appThm
nil
312
remove
3080
remove
cons
nil
cons
nil
cons
cons
1616
remove
subst
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
3077
remove
cons
121
ref
3078
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
3072
remove
appTerm
3076
remove
appTerm
nil
cons
cons
75
ref
3070
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
3067
ref
318
ref
appTerm
betaConv
appThm
429
ref
270
ref
346
ref
3067
ref
271
ref
appTerm
betaConv
3081
def
appThm
3067
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
270
ref
3081
remove
absThm
appThm
appThm
nil
1421
ref
3067
remove
nil
cons
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
179
ref
3069
remove
appTerm
thm
nil
556
remove
523
ref
547
ref
518
ref
528
remove
2138
remove
appTerm
3082
def
absTerm
3083
def
appTerm
3084
def
absTerm
3085
def
nil
cons
cons
nil
cons
nil
cons
cons
2136
remove
subst
523
ref
nil
106
ref
3084
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
560
ref
3083
remove
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
518
ref
nil
106
ref
3082
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
1274
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
552
ref
3085
remove
appTerm
thm
2065
ref
523
ref
573
ref
518
ref
429
ref
270
ref
429
ref
2498
ref
277
ref
206
ref
527
remove
appTerm
3086
def
refl
nil
270
ref
2499
ref
nil
cons
3087
def
cons
322
ref
cons
nil
cons
cons
1860
ref
271
ref
appTerm
3088
def
betaConv
1862
remove
325
ref
appTerm
3089
def
betaConv
1864
remove
nil
1866
remove
75
ref
3089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
1875
remove
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
1861
remove
nil
cons
cons
75
ref
3088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
1860
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
appThm
206
ref
525
remove
540
ref
appTerm
appTerm
2499
ref
appTerm
3090
def
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
2065
remove
523
ref
573
ref
518
ref
429
ref
270
ref
429
ref
2498
ref
277
ref
2066
remove
449
ref
2499
ref
appTerm
3091
def
271
ref
appTerm
3092
def
refl
appThm
542
remove
3092
remove
appTerm
betaConv
1010
remove
1011
remove
nil
320
ref
3087
ref
cons
3093
def
1013
remove
cons
nil
cons
cons
649
ref
270
ref
1014
remove
1015
ref
451
ref
appTerm
appTerm
200
ref
0
ref
13
ref
0
ref
13
remove
284
remove
cons
opType
nil
cons
cons
opType
constTerm
1015
remove
325
ref
appTerm
appTerm
1074
remove
appTerm
appTerm
absTerm
3094
def
271
ref
appTerm
3095
def
betaConv
320
ref
332
ref
3094
ref
appTerm
3096
def
absTerm
3097
def
325
ref
appTerm
3098
def
betaConv
187
remove
332
ref
3097
ref
appTerm
3099
def
absTerm
3100
def
496
remove
appTerm
3101
def
betaConv
nil
510
remove
3100
ref
appTerm
3102
def
axiom
nil
74
ref
3102
remove
nil
cons
cons
75
ref
3101
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
512
remove
513
remove
3100
remove
nil
cons
cons
514
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3099
remove
nil
cons
cons
75
ref
3098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3097
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3096
remove
nil
cons
cons
75
ref
3095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3094
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
711
remove
appThm
nil
562
remove
"g"
227
remove
var
539
remove
nil
cons
cons
1012
remove
538
ref
2499
ref
appTerm
3103
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
"B"
21
remove
cons
1086
remove
cons
18
ref
cons
1107
ref
subst
subst
trans
appThm
appThm
trans
trans
appThm
278
remove
nil
518
ref
540
ref
nil
cons
cons
nil
cons
nil
cons
cons
564
ref
subst
appThm
nil
222
remove
985
ref
531
ref
524
ref
538
remove
986
ref
appTerm
540
ref
appTerm
appTerm
appTerm
absTerm
3104
def
nil
cons
cons
nil
cons
nil
cons
cons
406
ref
subst
trans
2499
ref
refl
3105
def
appThm
3104
remove
2499
ref
appTerm
betaConv
trans
appThm
nil
42
ref
531
remove
524
remove
3103
remove
540
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
436
ref
trans
absThm
appThm
2068
remove
trans
absThm
appThm
2070
remove
trans
sym
112
ref
eqMp
eqMp
nil
552
remove
523
remove
547
ref
518
remove
332
ref
270
ref
332
ref
2498
ref
63
ref
3086
remove
1708
remove
2499
ref
appTerm
appTerm
appTerm
3090
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
311
ref
279
ref
179
ref
184
ref
332
ref
270
ref
63
ref
206
remove
282
remove
appTerm
271
ref
appTerm
appTerm
299
ref
appTerm
absTerm
3106
def
appTerm
3107
def
absTerm
3108
def
appTerm
3109
def
absTerm
3110
def
nil
cons
cons
nil
cons
nil
cons
cons
2185
remove
subst
279
ref
nil
106
ref
3109
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
215
remove
3108
remove
nil
cons
cons
nil
cons
nil
cons
cons
266
remove
subst
184
ref
nil
106
ref
3107
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
3106
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
277
remove
2388
remove
appThm
299
ref
refl
appThm
nil
42
ref
299
remove
nil
cons
cons
nil
cons
nil
cons
cons
245
remove
subst
trans
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
307
ref
3110
remove
appTerm
thm
180
remove
184
ref
429
ref
270
ref
nil
"t"
"Set.set"
typeOp
3
remove
opType
3111
def
var
3112
def
"Set.fromPredicate"
const
0
ref
39
ref
3111
ref
nil
cons
3113
def
cons
opType
constTerm
3114
def
"v"
2
ref
var
3115
def
618
ref
42
ref
82
ref
63
ref
3115
ref
varTerm
appTerm
3116
def
46
ref
appTerm
appTerm
3117
def
2912
ref
appTerm
absTerm
appTerm
absTerm
appTerm
3118
def
nil
cons
cons
"s"
3111
ref
var
3119
def
"Data.List.toSet"
const
0
ref
259
remove
3113
ref
cons
opType
constTerm
3120
def
1532
remove
appTerm
3121
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
3112
ref
31
ref
25
ref
0
ref
3111
ref
0
ref
3111
ref
27
ref
cons
opType
3122
def
nil
cons
3123
def
cons
opType
constTerm
3124
def
3119
ref
varTerm
3125
def
appTerm
3112
ref
varTerm
3126
def
appTerm
3127
def
appTerm
41
ref
42
ref
31
ref
"Set.member"
const
0
ref
2
ref
3123
remove
cons
opType
constTerm
46
ref
appTerm
3128
def
3125
ref
appTerm
appTerm
3128
ref
3126
ref
appTerm
appTerm
absTerm
appTerm
3129
def
appTerm
absTerm
3130
def
3126
ref
appTerm
3131
def
betaConv
3119
ref
38
ref
0
ref
3122
ref
27
ref
cons
opType
constTerm
3132
def
3130
ref
appTerm
3133
def
absTerm
3134
def
3125
ref
appTerm
3135
def
betaConv
3132
ref
refl
3136
def
3119
ref
3136
remove
3112
ref
nil
57
remove
3129
ref
nil
cons
cons
58
ref
3127
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
169
remove
subst
absThm
appThm
absThm
appThm
sym
nil
3132
ref
3119
remove
3132
ref
3112
remove
31
ref
3129
remove
appTerm
3127
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
74
ref
3132
remove
3134
ref
appTerm
nil
cons
cons
75
ref
3135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
3113
remove
cons
nil
cons
3137
def
"P"
3122
remove
var
3138
def
3134
remove
nil
cons
cons
"x"
3111
remove
var
3139
def
3125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3133
remove
nil
cons
cons
75
ref
3131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
3137
remove
3138
remove
3130
remove
nil
cons
cons
3139
remove
3126
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
572
ref
42
ref
123
ref
2695
remove
42
ref
31
ref
3128
ref
3120
remove
281
ref
appTerm
appTerm
3140
def
appTerm
2909
remove
281
ref
appTerm
3141
def
appTerm
3142
def
absTerm
3143
def
46
ref
appTerm
3144
def
betaConv
279
ref
41
ref
3143
ref
appTerm
3145
def
absTerm
3146
def
281
remove
appTerm
3147
def
betaConv
307
ref
refl
279
ref
572
ref
42
ref
3142
remove
assume
sym
31
ref
3141
remove
appTerm
3140
remove
appTerm
3148
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
307
ref
279
remove
41
ref
42
ref
3148
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
74
ref
307
remove
3146
ref
appTerm
nil
cons
cons
75
ref
3147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
310
remove
311
remove
3146
remove
nil
cons
cons
313
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3145
remove
nil
cons
cons
75
ref
3144
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3143
remove
nil
cons
cons
149
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
3064
remove
trans
appThm
123
ref
3128
ref
refl
3114
ref
refl
3115
ref
810
ref
42
ref
3117
remove
refl
42
ref
2912
ref
absTerm
3149
def
46
ref
appTerm
betaConv
3150
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3150
remove
appThm
nil
158
ref
3149
remove
nil
cons
cons
nil
cons
nil
cons
cons
42
ref
31
ref
3128
remove
3114
remove
3115
remove
618
ref
61
remove
82
ref
3116
remove
65
remove
appTerm
appTerm
2274
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
753
ref
appTerm
absTerm
3151
def
46
ref
appTerm
3152
def
betaConv
158
ref
41
ref
3151
ref
appTerm
3153
def
absTerm
3154
def
159
ref
appTerm
3155
def
betaConv
nil
852
ref
3154
ref
appTerm
3156
def
axiom
nil
74
ref
3156
remove
nil
cons
cons
75
ref
3155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3154
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3153
remove
nil
cons
cons
75
ref
3152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3151
remove
nil
cons
cons
149
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
appThm
nil
58
ref
2912
remove
nil
cons
cons
nil
cons
nil
cons
cons
1855
ref
subst
trans
absThm
appThm
2175
ref
trans
trans
absThm
appThm
436
ref
trans
absThm
appThm
258
remove
trans
sym
112
ref
eqMp
nil
179
remove
184
remove
332
ref
270
ref
3124
remove
3121
remove
appTerm
3118
remove
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
1432
ref
1421
ref
76
ref
332
ref
320
ref
975
ref
270
ref
1780
remove
1423
ref
appTerm
absTerm
appTerm
absTerm
3157
def
appTerm
3158
def
appTerm
617
ref
0
ref
0
ref
1
remove
223
ref
opType
3159
def
27
ref
cons
opType
3160
def
27
ref
cons
opType
constTerm
3161
def
"s"
3159
ref
var
3162
def
82
ref
332
ref
2728
ref
332
ref
"j"
198
ref
var
3163
def
31
ref
1777
ref
204
remove
0
ref
3159
ref
295
ref
cons
opType
constTerm
3164
def
3162
ref
varTerm
appTerm
3165
def
2729
ref
appTerm
3166
def
appTerm
3165
ref
3163
ref
varTerm
3167
def
appTerm
3168
def
appTerm
appTerm
1777
ref
2729
ref
appTerm
3167
ref
appTerm
3169
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
332
ref
270
ref
31
ref
1423
ref
appTerm
3170
def
975
ref
2728
ref
317
ref
3166
remove
appTerm
271
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
3171
def
appTerm
absTerm
appTerm
3172
def
appTerm
3173
def
absTerm
3174
def
nil
cons
cons
nil
cons
nil
cons
cons
1431
ref
18
ref
cons
265
ref
subst
subst
1421
ref
nil
106
ref
3173
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3158
remove
nil
cons
3175
def
cons
3176
def
75
ref
3172
remove
nil
cons
3177
def
cons
nil
cons
cons
nil
cons
cons
3178
def
93
ref
subst
3178
remove
156
ref
subst
3161
remove
refl
3162
ref
1158
ref
123
ref
429
ref
2728
ref
429
ref
3163
ref
123
ref
1777
ref
refl
3179
def
3163
ref
3168
remove
absTerm
3180
def
2729
ref
appTerm
betaConv
appThm
3180
ref
3167
ref
appTerm
betaConv
appThm
appThm
3169
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
429
ref
270
ref
2253
ref
3180
ref
271
ref
appTerm
betaConv
appThm
3180
ref
977
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
"f"
294
ref
var
3181
def
3180
remove
nil
cons
cons
nil
cons
nil
cons
cons
123
ref
nil
74
ref
332
ref
2728
ref
332
ref
3163
ref
31
ref
1777
ref
3181
ref
varTerm
3182
def
2729
ref
appTerm
3183
def
appTerm
3182
ref
3167
ref
appTerm
3184
def
appTerm
appTerm
3169
remove
appTerm
absTerm
3185
def
appTerm
3186
def
absTerm
3187
def
appTerm
3188
def
nil
cons
3189
def
cons
3190
def
75
ref
332
ref
2728
ref
332
ref
3163
ref
31
ref
288
ref
3183
ref
appTerm
3191
def
3184
ref
appTerm
3192
def
appTerm
2730
remove
3167
ref
appTerm
3193
def
appTerm
3194
def
absTerm
3195
def
appTerm
3196
def
absTerm
3197
def
appTerm
3198
def
nil
cons
3199
def
cons
nil
cons
3200
def
cons
nil
cons
cons
3201
def
366
ref
subst
3201
ref
93
ref
subst
3201
remove
156
ref
subst
429
ref
2728
ref
429
ref
3163
ref
123
ref
nil
320
ref
3184
ref
nil
cons
cons
3202
def
270
ref
3183
ref
nil
cons
3203
def
cons
3204
def
nil
cons
cons
nil
cons
cons
3205
def
270
ref
31
ref
1807
remove
appTerm
1806
remove
appTerm
3206
def
absTerm
3207
def
271
ref
appTerm
3208
def
betaConv
320
ref
332
ref
3207
ref
appTerm
3209
def
absTerm
3210
def
325
ref
appTerm
3211
def
betaConv
429
ref
320
ref
429
ref
270
ref
3206
remove
assume
sym
1808
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1815
remove
eqMp
nil
74
ref
332
ref
3210
ref
appTerm
nil
cons
cons
75
ref
3211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3210
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3209
remove
nil
cons
cons
75
ref
3208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3207
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3212
def
subst
3213
def
1221
ref
nil
3163
ref
2810
remove
cons
2728
ref
3167
ref
nil
cons
3214
def
cons
nil
cons
cons
nil
cons
cons
3215
def
3185
ref
3167
ref
appTerm
3216
def
betaConv
3187
ref
2729
ref
appTerm
3217
def
betaConv
nil
3190
remove
75
ref
3217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
3187
remove
nil
cons
cons
2888
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3186
remove
nil
cons
cons
75
ref
3216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3185
remove
nil
cons
cons
334
ref
3214
ref
cons
nil
cons
3218
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
trans
appThm
nil
320
ref
3214
ref
cons
3219
def
2820
remove
cons
nil
cons
cons
3220
def
3212
remove
subst
3221
def
appThm
nil
58
ref
324
ref
1777
ref
3167
ref
appTerm
3222
def
2729
ref
appTerm
3223
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1855
ref
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
436
ref
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
3189
ref
cons
121
ref
3199
ref
cons
nil
cons
3224
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
76
ref
3188
ref
appTerm
3198
ref
appTerm
nil
cons
cons
75
ref
76
ref
3198
ref
appTerm
3225
def
3188
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
3199
ref
cons
3226
def
75
ref
3189
ref
cons
nil
cons
cons
nil
cons
cons
3227
def
93
ref
subst
3227
remove
156
ref
subst
429
ref
2728
ref
429
ref
3163
ref
123
ref
3205
remove
270
ref
31
ref
1782
remove
appTerm
2317
remove
appTerm
3228
def
absTerm
3229
def
271
ref
appTerm
3230
def
betaConv
320
ref
332
ref
3229
ref
appTerm
3231
def
absTerm
3232
def
325
ref
appTerm
3233
def
betaConv
429
ref
320
ref
429
ref
270
ref
3228
remove
assume
sym
2318
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2325
remove
eqMp
nil
74
ref
332
ref
3232
ref
appTerm
nil
cons
cons
75
ref
3233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3232
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3231
remove
nil
cons
cons
75
ref
3230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3229
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3234
def
subst
1221
ref
3215
ref
3195
ref
3167
ref
appTerm
3235
def
betaConv
3197
ref
2729
ref
appTerm
3236
def
betaConv
nil
3226
ref
75
ref
3236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
3197
remove
nil
cons
cons
3237
def
2888
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3196
remove
nil
cons
3238
def
cons
75
ref
3235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3195
remove
nil
cons
cons
3239
def
3218
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3240
def
subst
appThm
trans
appThm
3220
remove
3234
remove
subst
appThm
nil
58
ref
324
ref
288
ref
3167
ref
appTerm
2729
ref
appTerm
3241
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1855
ref
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
436
ref
trans
sym
112
ref
eqMp
eqMp
nil
119
ref
3199
remove
cons
3242
def
121
ref
3189
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3226
remove
75
ref
332
ref
2728
ref
332
ref
3163
ref
76
ref
3193
ref
appTerm
3243
def
3192
ref
appTerm
3244
def
absTerm
3245
def
appTerm
3246
def
absTerm
3247
def
appTerm
3248
def
nil
cons
3249
def
cons
nil
cons
3250
def
cons
nil
cons
cons
3251
def
366
ref
subst
3251
ref
93
ref
subst
3251
remove
156
ref
subst
429
ref
2728
ref
429
ref
3163
ref
3243
remove
refl
3240
remove
appThm
nil
106
ref
3193
ref
nil
cons
3252
def
cons
nil
cons
nil
cons
cons
1182
remove
subst
trans
absThm
appThm
436
ref
trans
absThm
appThm
436
remove
trans
sym
112
ref
eqMp
eqMp
nil
3242
remove
121
ref
3249
ref
cons
nil
cons
3253
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
3225
remove
3248
ref
appTerm
nil
cons
cons
75
ref
76
ref
3248
ref
appTerm
3254
def
3198
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
3249
ref
cons
3255
def
3200
remove
cons
nil
cons
cons
3256
def
93
ref
subst
3256
remove
156
ref
subst
nil
3237
remove
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
3238
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
3239
remove
nil
cons
nil
cons
cons
276
ref
subst
3163
ref
nil
106
ref
3194
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3192
ref
nil
cons
3257
def
cons
75
ref
3252
ref
cons
nil
cons
cons
nil
cons
cons
366
ref
subst
346
ref
3213
remove
appThm
3221
remove
appThm
nil
1791
ref
3223
remove
nil
cons
cons
1792
ref
1777
ref
3184
ref
appTerm
3183
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1791
ref
31
ref
76
ref
1795
remove
appTerm
1796
remove
appTerm
appTerm
76
ref
1794
ref
appTerm
1793
ref
appTerm
appTerm
absTerm
3258
def
1794
ref
appTerm
3259
def
betaConv
1792
ref
252
ref
3258
ref
appTerm
3260
def
absTerm
3261
def
1793
ref
appTerm
3262
def
betaConv
nil
252
ref
3261
ref
appTerm
3263
def
axiom
nil
74
ref
3263
remove
nil
cons
cons
75
ref
3262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3261
remove
nil
cons
cons
1803
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3260
remove
nil
cons
cons
75
ref
3259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3258
remove
nil
cons
cons
1804
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
sym
346
ref
nil
2819
ref
3219
remove
nil
cons
cons
nil
cons
cons
270
ref
2328
remove
971
ref
1819
ref
appTerm
1776
remove
appTerm
appTerm
absTerm
3264
def
271
ref
appTerm
3265
def
betaConv
320
ref
332
ref
3264
ref
appTerm
3266
def
absTerm
3267
def
325
ref
appTerm
3268
def
betaConv
nil
332
ref
3267
ref
appTerm
3269
def
axiom
nil
74
ref
3269
remove
nil
cons
cons
75
ref
3268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3267
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3266
remove
nil
cons
cons
75
ref
3265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3264
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3270
def
subst
appThm
nil
3204
remove
3202
remove
nil
cons
cons
nil
cons
cons
3270
ref
subst
appThm
sym
nil
74
ref
971
ref
3241
ref
appTerm
317
ref
3167
ref
appTerm
3271
def
2729
ref
appTerm
3272
def
appTerm
nil
cons
3273
def
cons
75
ref
971
ref
288
ref
3184
ref
appTerm
3183
ref
appTerm
3274
def
appTerm
317
ref
3184
remove
appTerm
3183
remove
appTerm
3275
def
appTerm
nil
cons
3276
def
cons
nil
cons
3277
def
cons
nil
cons
cons
3278
def
93
ref
subst
3278
remove
156
ref
subst
nil
74
ref
3272
ref
nil
cons
3279
def
cons
3277
ref
cons
nil
cons
cons
3280
def
93
ref
subst
3280
remove
156
ref
subst
3182
ref
refl
3281
def
3272
remove
assume
appThm
nil
119
ref
3274
remove
nil
cons
3282
def
cons
121
ref
3275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3283
def
3050
remove
subst
proveHyp
eqMp
nil
119
ref
3279
ref
cons
121
ref
3276
ref
cons
nil
cons
3284
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
3241
remove
nil
cons
3285
def
cons
3286
def
3277
remove
cons
nil
cons
cons
3287
def
93
ref
subst
3287
remove
156
ref
subst
nil
3286
remove
75
ref
3282
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
3215
remove
3245
ref
3167
ref
appTerm
3288
def
betaConv
3247
ref
2729
ref
appTerm
3289
def
betaConv
nil
3255
ref
75
ref
3289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
3247
remove
nil
cons
cons
3290
def
2888
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3246
remove
nil
cons
3291
def
cons
75
ref
3288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3245
remove
nil
cons
cons
3292
def
3218
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3293
def
subst
eqMp
3283
remove
3060
remove
subst
proveHyp
eqMp
nil
119
ref
3285
remove
cons
3294
def
3284
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3294
remove
121
ref
3279
remove
cons
1243
ref
3276
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
eqMp
nil
119
ref
3273
remove
cons
3284
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
74
ref
76
ref
3192
ref
appTerm
3193
ref
appTerm
nil
cons
cons
75
ref
3244
remove
nil
cons
3295
def
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
3293
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
3249
remove
cons
3296
def
3224
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
trans
appThm
332
ref
270
ref
288
ref
3182
ref
271
ref
appTerm
appTerm
3182
ref
977
ref
appTerm
appTerm
3297
def
absTerm
3298
def
appTerm
3299
def
refl
appThm
sym
nil
3255
remove
75
ref
3299
ref
nil
cons
3300
def
cons
nil
cons
cons
nil
cons
cons
3301
def
366
ref
subst
3301
ref
93
ref
subst
3301
remove
156
ref
subst
nil
269
ref
3298
ref
nil
cons
cons
3302
def
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3297
remove
nil
cons
3303
def
cons
nil
cons
nil
cons
cons
113
ref
subst
3304
def
270
ref
289
ref
977
ref
appTerm
3305
def
absTerm
3306
def
271
ref
appTerm
3307
def
betaConv
nil
332
ref
3306
ref
appTerm
3308
def
axiom
nil
74
ref
3308
remove
nil
cons
cons
75
ref
3307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3306
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3305
remove
nil
cons
cons
75
ref
3303
remove
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
3163
ref
1347
remove
cons
2728
ref
321
remove
cons
nil
cons
cons
nil
cons
cons
3293
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
nil
3296
remove
121
ref
3300
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
3254
remove
3299
ref
appTerm
nil
cons
cons
75
ref
76
ref
3299
remove
appTerm
3248
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
3300
ref
cons
3309
def
3250
remove
cons
nil
cons
cons
3310
def
93
ref
subst
3310
remove
156
ref
subst
nil
3290
remove
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
3291
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
3292
remove
nil
cons
nil
cons
cons
276
ref
subst
3163
ref
nil
106
ref
3295
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3252
ref
cons
75
ref
3257
ref
cons
nil
cons
3311
def
cons
nil
cons
cons
3312
def
93
ref
subst
3312
remove
156
ref
subst
nil
270
ref
3214
remove
cons
3313
def
2811
ref
cons
nil
cons
cons
1830
ref
subst
3193
remove
assume
eqMp
nil
74
ref
975
ref
1821
ref
3271
ref
449
ref
2729
ref
appTerm
3314
def
1823
ref
appTerm
3315
def
appTerm
3316
def
absTerm
3317
def
appTerm
3318
def
nil
cons
cons
3311
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
269
ref
1821
ref
76
ref
3317
ref
1822
ref
appTerm
3319
def
appTerm
3192
ref
appTerm
3320
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
3320
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3319
ref
nil
cons
3321
def
cons
3311
ref
cons
nil
cons
cons
3322
def
93
ref
subst
3322
remove
156
ref
subst
3319
ref
betaConv
3319
remove
assume
eqMp
nil
74
ref
3316
ref
nil
cons
3323
def
cons
3311
remove
cons
nil
cons
cons
3324
def
144
ref
subst
proveHyp
3324
ref
93
ref
subst
3324
remove
156
ref
subst
31
ref
"_3542"
198
ref
var
3325
def
3191
ref
3182
ref
3325
remove
varTerm
appTerm
appTerm
absTerm
3326
def
3167
ref
appTerm
3327
def
appTerm
refl
3326
ref
3315
ref
appTerm
betaConv
appThm
123
ref
3327
remove
betaConv
appThm
3191
ref
3182
ref
3315
remove
appTerm
3328
def
appTerm
3329
def
refl
appThm
trans
3326
remove
refl
3316
remove
assume
appThm
eqMp
sym
1821
ref
3329
ref
absTerm
3330
def
1822
ref
appTerm
3331
def
betaConv
3332
def
3191
ref
refl
3281
ref
nil
445
remove
2811
ref
cons
nil
cons
cons
1393
ref
subst
1335
ref
2812
remove
464
remove
subst
appThm
trans
appThm
appThm
2821
remove
3304
remove
3298
remove
271
ref
appTerm
3333
def
betaConv
nil
3309
remove
75
ref
3333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
3302
remove
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
3334
def
subst
trans
sym
112
ref
eqMp
nil
74
ref
3191
ref
3182
ref
3314
ref
1706
remove
appTerm
appTerm
appTerm
3335
def
nil
cons
cons
75
ref
332
ref
1821
ref
76
ref
3329
ref
appTerm
3191
ref
3182
remove
3314
ref
976
ref
1823
ref
appTerm
appTerm
appTerm
3336
def
appTerm
3337
def
appTerm
3338
def
absTerm
3339
def
appTerm
3340
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
3339
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
3338
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3329
ref
nil
cons
3341
def
cons
75
ref
3337
remove
nil
cons
3342
def
cons
nil
cons
3343
def
cons
nil
cons
cons
3344
def
93
ref
subst
3344
remove
156
ref
subst
270
ref
82
ref
3191
remove
271
ref
appTerm
appTerm
289
ref
3336
ref
appTerm
appTerm
absTerm
3345
def
3328
ref
appTerm
betaConv
sym
1158
ref
nil
106
ref
3341
ref
cons
nil
cons
nil
cons
cons
113
ref
subst
3329
remove
assume
eqMp
appThm
288
ref
3328
ref
appTerm
3336
ref
appTerm
3346
def
refl
appThm
nil
106
ref
3346
remove
nil
cons
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
sym
2253
ref
3281
ref
nil
1833
ref
2811
ref
cons
nil
cons
cons
1393
ref
subst
3347
def
appThm
appThm
3281
remove
nil
1835
remove
2811
remove
cons
nil
cons
cons
1393
ref
subst
1335
ref
3347
remove
appThm
trans
appThm
appThm
nil
270
ref
976
ref
3314
remove
1822
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3334
remove
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
274
ref
269
ref
3345
ref
nil
cons
cons
334
ref
3328
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
975
ref
3345
remove
appTerm
nil
cons
cons
3343
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
1761
ref
3336
remove
nil
cons
cons
320
ref
3203
remove
cons
nil
cons
cons
nil
cons
cons
1761
ref
76
ref
975
ref
270
ref
2602
remove
2461
remove
appTerm
3348
def
absTerm
3349
def
appTerm
3350
def
appTerm
3351
def
2608
ref
appTerm
3352
def
absTerm
3353
def
1763
ref
appTerm
3354
def
betaConv
320
ref
332
ref
3353
ref
appTerm
3355
def
absTerm
3356
def
325
ref
appTerm
3357
def
betaConv
nil
332
ref
320
ref
332
ref
270
ref
332
ref
1761
ref
76
ref
3348
ref
appTerm
2608
ref
appTerm
absTerm
3358
def
appTerm
3359
def
absTerm
3360
def
appTerm
3361
def
absTerm
3362
def
appTerm
3363
def
axiom
nil
74
ref
3363
ref
nil
cons
3364
def
cons
3365
def
75
ref
332
ref
3356
ref
appTerm
nil
cons
3366
def
cons
nil
cons
cons
nil
cons
cons
3367
def
144
ref
subst
proveHyp
3367
ref
93
ref
subst
3367
remove
156
ref
subst
nil
269
ref
3356
remove
nil
cons
cons
3368
def
nil
cons
nil
cons
cons
276
ref
subst
320
ref
nil
106
ref
3355
remove
nil
cons
3369
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
3353
remove
nil
cons
cons
3370
def
nil
cons
nil
cons
cons
276
ref
subst
1761
ref
nil
106
ref
3352
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3350
remove
nil
cons
3371
def
cons
3372
def
2631
ref
cons
nil
cons
cons
3373
def
93
ref
subst
3373
remove
156
ref
subst
nil
3365
ref
2631
ref
cons
nil
cons
cons
3374
def
144
ref
subst
nil
3372
remove
75
ref
76
ref
3363
remove
appTerm
2608
remove
appTerm
3375
def
nil
cons
3376
def
cons
nil
cons
3377
def
cons
nil
cons
cons
144
ref
subst
nil
269
ref
270
ref
76
ref
3349
ref
271
ref
appTerm
3378
def
appTerm
3375
ref
appTerm
3379
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3379
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3378
ref
nil
cons
3380
def
cons
3377
ref
cons
nil
cons
cons
3381
def
93
ref
subst
3381
remove
156
ref
subst
3378
ref
betaConv
3378
remove
assume
eqMp
nil
74
ref
3348
remove
nil
cons
3382
def
cons
3383
def
3377
remove
cons
nil
cons
cons
3384
def
144
ref
subst
proveHyp
3384
ref
93
ref
subst
3384
remove
156
ref
subst
3374
ref
93
ref
subst
3374
remove
156
ref
subst
nil
3383
remove
2631
remove
cons
nil
cons
cons
144
ref
subst
3358
ref
1763
ref
appTerm
3385
def
betaConv
3360
ref
271
ref
appTerm
3386
def
betaConv
3362
ref
325
ref
appTerm
3387
def
betaConv
nil
3365
remove
75
ref
3387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
3362
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3361
remove
nil
cons
cons
75
ref
3386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3360
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3359
remove
nil
cons
cons
75
ref
3385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3358
remove
nil
cons
cons
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3364
remove
cons
3388
def
2648
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
3382
remove
cons
121
ref
3376
remove
cons
nil
cons
3389
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3380
remove
cons
3389
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
3349
ref
430
ref
appTerm
appTerm
3375
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
3351
remove
3375
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3349
remove
nil
cons
cons
3389
remove
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3371
remove
cons
2648
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3388
remove
121
ref
3366
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
74
ref
3366
remove
cons
75
ref
3357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3368
remove
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3369
remove
cons
75
ref
3354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3370
remove
2055
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
119
ref
3341
remove
cons
121
ref
3342
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
ref
3335
remove
appTerm
3340
remove
appTerm
nil
cons
cons
75
ref
332
ref
3330
ref
appTerm
nil
cons
3390
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
ref
3330
ref
318
ref
appTerm
betaConv
appThm
429
ref
1821
ref
346
ref
3332
ref
appThm
3330
ref
1823
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
ref
1821
ref
3332
remove
absThm
appThm
appThm
nil
1421
ref
3330
remove
nil
cons
3391
def
cons
nil
cons
nil
cons
cons
1434
ref
subst
eqMp
eqMp
nil
74
ref
3390
remove
cons
75
ref
3331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3391
remove
cons
2367
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3323
remove
cons
121
ref
3257
remove
cons
nil
cons
3392
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3321
remove
cons
3392
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
334
ref
76
ref
3317
ref
430
ref
appTerm
appTerm
3192
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
3318
remove
appTerm
3192
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3317
remove
nil
cons
cons
3392
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3252
remove
cons
3392
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
3300
remove
cons
3253
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
appThm
3171
ref
refl
appThm
absThm
appThm
sym
3162
remove
82
ref
332
ref
270
ref
288
ref
3165
ref
271
ref
appTerm
appTerm
3165
remove
977
ref
appTerm
appTerm
absTerm
appTerm
appTerm
3171
remove
appTerm
absTerm
3393
def
498
remove
0
ref
0
ref
198
ref
499
remove
293
remove
opType
3394
def
nil
cons
3395
def
cons
opType
3396
def
0
ref
198
ref
3159
ref
nil
cons
3397
def
cons
opType
3398
def
nil
cons
cons
opType
constTerm
3399
def
"b"
198
ref
var
3400
def
270
ref
502
remove
0
ref
198
ref
3396
ref
nil
cons
cons
opType
constTerm
3401
def
271
ref
appTerm
977
ref
appTerm
absTerm
3402
def
"Number.Natural.minimal"
const
0
ref
268
remove
223
ref
cons
opType
constTerm
3403
def
320
ref
82
ref
1777
ref
3400
ref
varTerm
3404
def
appTerm
325
ref
appTerm
appTerm
1422
ref
325
ref
appTerm
3405
def
appTerm
absTerm
appTerm
3406
def
appTerm
3407
def
absTerm
3408
def
appTerm
3409
def
318
ref
appTerm
3410
def
appTerm
betaConv
sym
nil
269
ref
270
ref
288
ref
3164
ref
3410
ref
appTerm
3411
def
271
ref
appTerm
appTerm
3411
ref
977
ref
appTerm
appTerm
3412
def
absTerm
3413
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3412
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
2253
ref
3164
ref
refl
3414
def
nil
3400
ref
444
remove
cons
"f"
3396
ref
var
3415
def
3408
ref
nil
cons
3416
def
cons
nil
cons
3417
def
cons
nil
cons
cons
1363
ref
274
ref
cons
18
ref
cons
3418
def
564
remove
subst
subst
197
remove
0
ref
294
ref
3397
ref
cons
opType
constTerm
refl
270
ref
529
remove
0
ref
3394
ref
223
ref
cons
opType
3419
def
constTerm
3420
def
refl
3421
def
3408
ref
532
remove
0
ref
294
remove
296
remove
nil
cons
cons
opType
constTerm
200
remove
0
ref
3419
ref
0
ref
3396
ref
295
remove
cons
opType
nil
cons
cons
opType
constTerm
535
remove
3419
ref
constTerm
3422
def
appTerm
3408
ref
appTerm
3423
def
appTerm
271
ref
appTerm
318
ref
appTerm
3424
def
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
3181
ref
270
ref
3420
ref
3402
ref
3403
ref
320
ref
82
ref
1777
ref
3424
ref
appTerm
325
ref
appTerm
appTerm
3405
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
3425
def
nil
cons
cons
nil
cons
nil
cons
cons
275
ref
406
remove
subst
subst
trans
3426
def
407
ref
appThm
3425
ref
271
ref
appTerm
betaConv
trans
appThm
3426
remove
1488
remove
appThm
3425
remove
977
ref
appTerm
betaConv
3421
ref
3402
ref
refl
3427
def
3403
ref
refl
3428
def
320
ref
1158
ref
3179
ref
nil
1029
remove
3181
remove
3423
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
275
ref
1447
remove
subst
subst
appThm
1503
ref
appThm
appThm
3405
ref
refl
3429
def
appThm
absThm
appThm
appThm
appThm
trans
trans
appThm
sym
2498
ref
288
ref
3420
ref
3402
ref
3403
ref
320
ref
82
ref
1777
ref
2499
ref
appTerm
3430
def
325
ref
appTerm
appTerm
3405
ref
appTerm
3431
def
absTerm
3432
def
appTerm
3433
def
appTerm
3434
def
appTerm
appTerm
3435
def
3420
remove
3402
ref
3403
ref
320
ref
82
ref
1777
ref
3423
remove
2499
ref
appTerm
appTerm
325
ref
appTerm
appTerm
3405
ref
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
3436
def
absTerm
3437
def
3424
ref
appTerm
3438
def
betaConv
nil
269
ref
3437
ref
nil
cons
cons
3439
def
nil
cons
nil
cons
cons
276
ref
subst
2498
ref
nil
106
ref
3436
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
3435
remove
refl
3421
ref
3427
remove
3428
ref
320
ref
1158
ref
3179
ref
nil
334
ref
3087
ref
cons
3440
def
"g"
3396
remove
var
3416
remove
cons
"f"
3419
ref
var
3422
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
"B"
3395
remove
cons
224
ref
"C"
223
remove
cons
nil
cons
cons
cons
18
ref
cons
1107
remove
subst
subst
3422
ref
refl
3441
def
3408
remove
2499
ref
appTerm
betaConv
3442
def
appThm
trans
appThm
1503
ref
appThm
appThm
3429
ref
appThm
absThm
appThm
appThm
appThm
appThm
sym
2253
remove
3421
ref
3434
ref
betaConv
3443
def
appThm
nil
3400
ref
976
ref
3433
ref
appTerm
3444
def
nil
cons
3445
def
cons
"a"
198
ref
var
3446
def
3433
ref
nil
cons
3447
def
cons
nil
cons
3448
def
cons
nil
cons
cons
3449
def
3418
ref
1027
remove
subst
3450
def
subst
trans
appThm
3421
remove
3402
remove
3403
ref
320
ref
82
ref
1777
ref
3422
remove
3434
remove
appTerm
appTerm
325
ref
appTerm
appTerm
3405
ref
appTerm
absTerm
appTerm
appTerm
betaConv
3401
ref
refl
3428
remove
320
ref
1158
ref
3179
remove
3441
remove
3443
ref
appThm
3449
remove
224
remove
1363
remove
nil
cons
cons
18
ref
cons
3451
def
1114
remove
subst
subst
trans
appThm
1503
remove
appThm
appThm
3429
remove
appThm
absThm
appThm
3452
def
appThm
1335
remove
3452
remove
appThm
appThm
trans
appThm
nil
3400
ref
976
ref
3403
ref
320
ref
82
ref
1777
ref
3444
ref
appTerm
325
ref
appTerm
appTerm
3405
ref
appTerm
absTerm
appTerm
3453
def
appTerm
nil
cons
cons
3446
ref
3453
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3450
remove
subst
trans
appThm
sym
270
ref
289
remove
3403
ref
320
ref
82
ref
1777
ref
977
ref
appTerm
3454
def
325
ref
appTerm
appTerm
3405
ref
appTerm
3455
def
absTerm
appTerm
3456
def
appTerm
3457
def
absTerm
3458
def
3433
ref
appTerm
3459
def
betaConv
nil
269
ref
3458
ref
nil
cons
cons
3460
def
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3457
ref
nil
cons
3461
def
cons
nil
cons
nil
cons
cons
113
ref
subst
3157
ref
977
ref
appTerm
3462
def
betaConv
nil
3176
ref
75
ref
3462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
3157
ref
nil
cons
cons
3463
def
1597
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
975
ref
985
ref
82
ref
3454
ref
986
ref
appTerm
appTerm
1422
ref
986
ref
appTerm
appTerm
absTerm
3464
def
appTerm
nil
cons
cons
75
ref
3461
ref
cons
nil
cons
3465
def
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
123
ref
1831
ref
985
remove
3464
ref
986
remove
appTerm
betaConv
absThm
appThm
appThm
1158
ref
3464
ref
3403
ref
3464
ref
appTerm
3466
def
appTerm
betaConv
appThm
429
ref
320
ref
76
ref
326
ref
3466
ref
appTerm
appTerm
3467
def
refl
1221
ref
3464
ref
325
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
appThm
nil
1421
ref
3464
remove
nil
cons
cons
nil
cons
nil
cons
cons
1421
ref
31
ref
975
ref
1425
remove
appTerm
appTerm
82
ref
1422
ref
3403
ref
1422
ref
appTerm
3468
def
appTerm
appTerm
332
ref
320
ref
76
ref
326
ref
3468
remove
appTerm
appTerm
324
ref
3405
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
3469
def
1422
ref
appTerm
3470
def
betaConv
nil
1429
ref
3469
ref
appTerm
3471
def
axiom
nil
74
ref
3471
remove
nil
cons
cons
75
ref
3470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
1431
ref
1432
ref
3469
remove
nil
cons
cons
1433
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3472
def
subst
eqMp
appThm
3457
remove
refl
appThm
sym
nil
74
ref
82
ref
82
ref
3454
remove
3466
ref
appTerm
3473
def
appTerm
1422
ref
3466
remove
appTerm
3474
def
appTerm
3475
def
appTerm
332
ref
320
ref
3467
remove
324
ref
3455
remove
appTerm
appTerm
absTerm
appTerm
3476
def
appTerm
nil
cons
3477
def
cons
3465
remove
cons
nil
cons
cons
3478
def
93
ref
subst
3478
remove
156
ref
subst
nil
119
ref
3475
remove
nil
cons
cons
121
ref
3476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
119
ref
3473
ref
nil
cons
3479
def
cons
121
ref
3474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
270
ref
3456
remove
nil
cons
cons
322
remove
cons
nil
cons
cons
270
ref
1820
remove
1777
ref
1060
remove
appTerm
271
ref
appTerm
3480
def
appTerm
3481
def
absTerm
3482
def
271
ref
appTerm
3483
def
betaConv
320
ref
332
ref
3482
ref
appTerm
3484
def
absTerm
3485
def
325
ref
appTerm
3486
def
betaConv
429
ref
320
ref
429
ref
270
ref
3481
remove
assume
sym
31
ref
3480
remove
appTerm
1819
ref
appTerm
3487
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
332
ref
320
ref
332
ref
270
ref
3487
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
74
ref
332
ref
3485
ref
appTerm
nil
cons
cons
75
ref
3486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3485
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3484
remove
nil
cons
cons
75
ref
3483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3482
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
nil
106
ref
3479
remove
cons
nil
cons
nil
cons
cons
113
ref
subst
3473
remove
assume
eqMp
trans
sym
112
ref
eqMp
proveHyp
proveHyp
eqMp
nil
119
ref
3477
remove
cons
121
ref
3461
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
3458
remove
appTerm
nil
cons
cons
75
ref
3459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3460
remove
334
ref
3447
ref
cons
nil
cons
3488
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
3437
remove
appTerm
nil
cons
cons
75
ref
3438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3439
remove
334
ref
3424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
3413
remove
appTerm
nil
cons
cons
75
ref
332
ref
270
ref
3170
remove
975
ref
2728
ref
317
ref
3411
remove
2729
ref
appTerm
appTerm
271
ref
appTerm
3489
def
absTerm
3490
def
appTerm
3491
def
appTerm
3492
def
absTerm
3493
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
3493
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
270
ref
nil
106
ref
3492
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
1423
ref
nil
cons
3494
def
cons
75
ref
3491
ref
nil
cons
3495
def
cons
nil
cons
3496
def
cons
nil
cons
cons
3497
def
366
remove
subst
3497
ref
93
ref
subst
3497
remove
156
ref
subst
270
ref
1777
ref
318
ref
appTerm
271
ref
appTerm
3498
def
absTerm
3499
def
271
ref
appTerm
3500
def
betaConv
nil
332
ref
3499
ref
appTerm
3501
def
axiom
nil
74
ref
3501
remove
nil
cons
cons
75
ref
3500
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3499
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3498
remove
nil
cons
cons
3496
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
2498
ref
76
ref
3430
ref
271
ref
appTerm
3502
def
appTerm
975
ref
2728
ref
317
ref
3164
ref
3409
remove
2499
ref
appTerm
appTerm
3503
def
2729
ref
appTerm
appTerm
271
ref
appTerm
3504
def
absTerm
appTerm
3505
def
appTerm
3506
def
absTerm
3507
def
318
ref
appTerm
3508
def
betaConv
nil
269
ref
3507
ref
nil
cons
cons
3509
def
nil
cons
nil
cons
cons
276
ref
subst
2498
ref
nil
106
ref
3506
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
346
ref
nil
3093
remove
nil
cons
3510
def
nil
cons
cons
2335
ref
subst
appThm
3505
ref
refl
3511
def
appThm
sym
123
ref
346
ref
1831
ref
1821
ref
1821
ref
591
ref
3091
ref
1822
ref
appTerm
3512
def
appTerm
3513
def
absTerm
3514
def
1822
ref
appTerm
betaConv
3515
def
absThm
appThm
appThm
3511
ref
appThm
appThm
429
ref
1821
ref
346
ref
3515
remove
appThm
3511
remove
appThm
absThm
appThm
appThm
nil
1421
ref
3514
remove
nil
cons
cons
75
ref
3505
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
275
ref
75
ref
31
ref
76
ref
817
ref
appTerm
79
ref
appTerm
appTerm
755
remove
appTerm
absTerm
3516
def
79
ref
appTerm
3517
def
betaConv
158
ref
252
ref
3516
ref
appTerm
3518
def
absTerm
3519
def
159
ref
appTerm
3520
def
betaConv
nil
852
ref
3519
ref
appTerm
3521
def
axiom
nil
74
ref
3521
remove
nil
cons
cons
75
ref
3520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3519
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3518
remove
nil
cons
cons
75
ref
3517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3516
remove
nil
cons
cons
58
ref
115
ref
cons
nil
cons
3522
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
3523
def
subst
eqMp
sym
nil
269
ref
1821
ref
76
ref
3513
ref
appTerm
3524
def
3505
remove
appTerm
3525
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
3525
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
3524
ref
refl
1831
ref
2728
ref
1539
ref
3414
ref
3399
ref
refl
3400
ref
3407
remove
betaConv
absThm
appThm
3526
def
3105
remove
appThm
appThm
2729
ref
refl
3527
def
appThm
appThm
407
ref
appThm
3528
def
absThm
appThm
appThm
sym
2498
ref
3524
remove
975
ref
2728
ref
317
ref
3164
ref
3399
remove
3400
ref
3401
ref
3406
ref
appTerm
976
ref
3406
remove
appTerm
appTerm
absTerm
3529
def
appTerm
3530
def
2499
ref
appTerm
appTerm
2729
ref
appTerm
appTerm
3531
def
271
ref
appTerm
3532
def
absTerm
appTerm
3533
def
appTerm
3534
def
absTerm
3535
def
2499
ref
appTerm
3536
def
betaConv
nil
269
ref
1821
ref
76
ref
332
ref
320
ref
76
ref
326
ref
1822
ref
appTerm
3537
def
appTerm
332
ref
1821
ref
76
ref
972
ref
1822
ref
appTerm
appTerm
332
ref
3535
ref
appTerm
3538
def
appTerm
absTerm
3539
def
appTerm
3540
def
appTerm
absTerm
appTerm
appTerm
3538
ref
appTerm
3541
def
absTerm
3542
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
1821
ref
nil
106
ref
3541
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
346
ref
123
ref
429
ref
320
ref
346
ref
320
ref
3537
remove
absTerm
3543
def
325
ref
appTerm
betaConv
appThm
3544
def
429
ref
1821
ref
320
ref
3539
ref
absTerm
3545
def
325
ref
appTerm
betaConv
3546
def
1822
ref
refl
3547
def
appThm
3539
ref
1822
ref
appTerm
betaConv
trans
absThm
appThm
appThm
absThm
appThm
appThm
429
ref
2562
ref
429
ref
320
ref
3544
ref
3546
remove
2565
ref
refl
appThm
3539
remove
2565
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
269
ref
3543
ref
nil
cons
cons
3548
def
"Q"
287
remove
var
3549
def
3545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3418
ref
nil
74
ref
31
ref
41
ref
42
ref
758
ref
547
ref
1031
ref
"Q"
1364
remove
var
varTerm
3550
def
46
ref
appTerm
3551
def
1032
ref
appTerm
3552
def
absTerm
3553
def
appTerm
3554
def
appTerm
absTerm
3555
def
appTerm
3556
def
appTerm
547
ref
1031
ref
41
ref
42
ref
758
remove
3552
ref
appTerm
absTerm
3557
def
appTerm
absTerm
3558
def
appTerm
3559
def
appTerm
3560
def
nil
cons
cons
nil
cons
nil
cons
cons
1856
ref
subst
sym
nil
74
ref
324
ref
3560
remove
appTerm
3561
def
nil
cons
3562
def
cons
345
ref
cons
nil
cons
cons
3563
def
93
ref
subst
3563
remove
156
ref
subst
nil
74
ref
3556
remove
nil
cons
cons
75
ref
3559
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1894
ref
75
ref
31
ref
324
ref
348
remove
appTerm
appTerm
971
ref
83
ref
1897
ref
appTerm
3564
def
appTerm
1896
remove
79
ref
appTerm
appTerm
appTerm
nil
cons
3565
def
cons
nil
cons
3566
def
cons
nil
cons
cons
3567
def
93
ref
subst
3567
remove
156
ref
subst
31
ref
"_550"
26
ref
var
3568
def
31
ref
324
ref
31
ref
3568
remove
varTerm
3569
def
appTerm
79
ref
appTerm
appTerm
appTerm
971
ref
82
ref
3569
ref
appTerm
1897
ref
appTerm
appTerm
82
ref
324
ref
3569
remove
appTerm
appTerm
79
ref
appTerm
appTerm
appTerm
absTerm
3570
def
77
ref
appTerm
3571
def
appTerm
refl
3572
def
3570
ref
337
ref
appTerm
betaConv
appThm
123
ref
3571
remove
betaConv
appThm
3573
def
31
ref
324
ref
373
remove
79
ref
appTerm
appTerm
appTerm
971
ref
1212
ref
1897
ref
appTerm
3574
def
appTerm
1907
remove
79
ref
appTerm
appTerm
appTerm
refl
appThm
trans
3570
remove
refl
3575
def
1909
ref
appThm
eqMp
sym
123
ref
1221
ref
116
ref
1936
remove
subst
appThm
116
ref
1852
ref
subst
trans
appThm
1805
ref
1931
ref
appThm
1911
remove
88
ref
appThm
116
ref
1171
ref
subst
trans
appThm
1910
ref
trans
appThm
nil
3522
ref
nil
cons
cons
1855
ref
subst
3576
def
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1917
ref
121
ref
3565
ref
cons
nil
cons
3577
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
1921
ref
3566
remove
cons
nil
cons
cons
3578
def
93
ref
subst
3578
remove
156
ref
subst
3572
remove
"_548"
26
ref
var
3579
def
31
ref
324
ref
31
ref
3579
remove
varTerm
3580
def
appTerm
79
ref
appTerm
appTerm
appTerm
971
ref
82
ref
3580
ref
appTerm
1897
ref
appTerm
appTerm
82
ref
324
ref
3580
remove
appTerm
appTerm
79
ref
appTerm
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
3573
remove
31
ref
324
ref
31
ref
98
ref
appTerm
3581
def
79
ref
appTerm
appTerm
appTerm
971
ref
1167
ref
1897
ref
appTerm
3582
def
appTerm
1926
remove
79
ref
appTerm
appTerm
appTerm
refl
appThm
trans
3575
remove
1927
ref
appThm
eqMp
sym
123
ref
1221
ref
116
ref
106
ref
31
ref
3581
remove
109
ref
appTerm
appTerm
109
ref
appTerm
absTerm
3583
def
109
ref
appTerm
3584
def
betaConv
nil
252
ref
3583
ref
appTerm
3585
def
axiom
nil
74
ref
3585
remove
nil
cons
cons
75
ref
3584
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3583
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3586
def
subst
appThm
appThm
1805
ref
1915
ref
appThm
1930
remove
88
ref
appThm
116
ref
1225
ref
subst
trans
appThm
1914
remove
106
ref
31
ref
2657
remove
337
ref
appTerm
appTerm
109
ref
appTerm
absTerm
3587
def
109
remove
appTerm
3588
def
betaConv
nil
252
ref
3587
ref
appTerm
3589
def
axiom
nil
74
ref
3589
remove
nil
cons
cons
75
ref
3588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3587
remove
nil
cons
cons
256
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
trans
appThm
1916
ref
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1938
ref
3577
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1940
ref
nil
1938
ref
1941
ref
1243
ref
3565
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
3590
def
subst
1805
ref
1158
ref
572
ref
42
ref
nil
770
ref
75
ref
3554
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3591
def
nil
1894
ref
75
ref
81
remove
971
ref
1847
remove
appTerm
79
ref
appTerm
appTerm
nil
cons
3592
def
cons
nil
cons
3593
def
cons
nil
cons
cons
3594
def
93
ref
subst
3594
remove
156
ref
subst
31
ref
"_538"
26
ref
var
3595
def
31
ref
76
ref
3595
remove
varTerm
3596
def
appTerm
79
ref
appTerm
appTerm
971
ref
324
ref
3596
remove
appTerm
appTerm
79
ref
appTerm
appTerm
absTerm
3597
def
77
ref
appTerm
3598
def
appTerm
refl
3599
def
3597
ref
337
ref
appTerm
betaConv
appThm
123
ref
3598
remove
betaConv
appThm
3600
def
31
ref
369
remove
79
ref
appTerm
3601
def
appTerm
971
ref
1226
remove
appTerm
3602
def
79
ref
appTerm
appTerm
refl
appThm
trans
3597
remove
refl
3603
def
1909
ref
appThm
eqMp
sym
123
ref
116
ref
1164
remove
subst
3604
def
appThm
1805
ref
1227
ref
appThm
3605
def
88
ref
appThm
1928
remove
trans
appThm
248
ref
3586
remove
subst
3606
def
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1917
ref
121
ref
3592
ref
cons
nil
cons
3607
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
1921
ref
3593
remove
cons
nil
cons
cons
3608
def
93
ref
subst
3608
remove
156
ref
subst
3599
remove
"_536"
26
ref
var
3609
def
31
ref
76
ref
3609
remove
varTerm
3610
def
appTerm
79
ref
appTerm
appTerm
971
ref
324
ref
3610
remove
appTerm
appTerm
79
ref
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
3600
remove
31
ref
1189
remove
79
ref
appTerm
3611
def
appTerm
971
ref
1925
remove
appTerm
3612
def
79
ref
appTerm
appTerm
refl
appThm
trans
3603
remove
1927
ref
appThm
eqMp
sym
123
ref
116
remove
1194
remove
subst
3613
def
appThm
1805
ref
1929
ref
appThm
3614
def
88
remove
appThm
1910
remove
trans
appThm
3576
remove
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1938
ref
3607
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1940
ref
nil
1938
ref
1941
ref
1243
ref
3592
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
3615
def
subst
absThm
appThm
appThm
nil
560
ref
3558
ref
nil
cons
cons
nil
cons
nil
cons
cons
649
ref
123
ref
1221
ref
572
ref
1945
remove
appThm
appThm
appThm
618
ref
1947
remove
appTerm
refl
appThm
sym
1948
remove
158
ref
31
ref
324
ref
41
ref
816
remove
appTerm
appTerm
appTerm
618
ref
1949
remove
appTerm
appTerm
absTerm
3616
def
159
ref
appTerm
3617
def
betaConv
nil
852
ref
3616
ref
appTerm
3618
def
axiom
nil
74
ref
3618
remove
nil
cons
cons
75
ref
3617
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3616
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
3619
def
subst
3620
def
subst
619
ref
refl
3621
def
1031
ref
1221
ref
3558
remove
1032
ref
appTerm
betaConv
appThm
nil
147
ref
3557
ref
nil
cons
cons
nil
cons
nil
cons
cons
3619
ref
subst
810
ref
42
ref
1221
ref
3557
remove
46
ref
appTerm
betaConv
appThm
nil
770
ref
75
ref
3552
ref
nil
cons
3622
def
cons
nil
cons
cons
nil
cons
cons
3623
def
nil
1894
remove
75
ref
31
ref
324
ref
80
remove
appTerm
appTerm
3564
remove
appTerm
nil
cons
3624
def
cons
nil
cons
3625
def
cons
nil
cons
cons
3626
def
93
ref
subst
3626
remove
156
ref
subst
31
ref
"_542"
26
ref
var
3627
def
31
ref
324
ref
76
ref
3627
remove
varTerm
3628
def
appTerm
79
ref
appTerm
appTerm
appTerm
82
ref
3628
remove
appTerm
1897
ref
appTerm
appTerm
absTerm
3629
def
77
ref
appTerm
3630
def
appTerm
refl
3631
def
3629
ref
337
ref
appTerm
betaConv
appThm
123
ref
3630
remove
betaConv
appThm
3632
def
31
ref
324
ref
3601
remove
appTerm
appTerm
3574
remove
appTerm
refl
appThm
trans
3629
remove
refl
3633
def
1909
remove
appThm
eqMp
sym
123
ref
1221
ref
3604
remove
appThm
1929
ref
trans
appThm
1931
remove
appThm
1937
remove
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1917
remove
121
ref
3624
ref
cons
nil
cons
3634
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
1921
remove
3625
remove
cons
nil
cons
cons
3635
def
93
ref
subst
3635
remove
156
ref
subst
3631
remove
"_540"
26
ref
var
3636
def
31
ref
324
ref
76
ref
3636
remove
varTerm
3637
def
appTerm
79
ref
appTerm
appTerm
appTerm
82
ref
3637
remove
appTerm
1897
remove
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
3632
remove
31
ref
324
ref
3611
remove
appTerm
appTerm
3582
remove
appTerm
refl
appThm
trans
3633
remove
1927
remove
appThm
eqMp
sym
123
ref
1221
ref
3613
remove
appThm
appThm
1915
remove
appThm
1916
remove
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
1938
ref
3634
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1940
remove
nil
1938
remove
1941
remove
1243
ref
3624
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
3638
def
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
1158
ref
nil
147
ref
3555
ref
nil
cons
cons
nil
cons
nil
cons
cons
3619
ref
subst
810
ref
42
ref
1221
ref
3555
remove
46
ref
appTerm
betaConv
appThm
3591
remove
3638
ref
subst
1158
ref
153
ref
refl
appThm
3639
def
nil
560
ref
3553
ref
nil
cons
3640
def
cons
nil
cons
nil
cons
cons
3620
remove
subst
3621
ref
1031
ref
1221
ref
3553
remove
1032
ref
appTerm
betaConv
3641
def
appThm
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
appThm
573
ref
1031
ref
572
ref
42
ref
3623
remove
3615
ref
subst
absThm
appThm
absThm
appThm
appThm
appThm
trans
1805
ref
123
ref
82
ref
41
ref
42
ref
971
ref
1946
ref
appTerm
3642
def
3554
remove
appTerm
absTerm
appTerm
3643
def
appTerm
3644
def
refl
3645
def
3621
ref
1031
ref
1031
ref
618
ref
42
ref
82
ref
153
remove
appTerm
3646
def
324
ref
3552
ref
appTerm
3647
def
appTerm
3648
def
absTerm
3649
def
appTerm
absTerm
3650
def
1032
ref
appTerm
betaConv
3651
def
absThm
appThm
appThm
appThm
3621
ref
1031
ref
3645
ref
3651
remove
appThm
absThm
appThm
appThm
nil
"q"
43
ref
var
3652
def
3650
remove
nil
cons
cons
74
ref
3643
remove
nil
cons
3653
def
cons
nil
cons
3654
def
cons
nil
cons
cons
649
ref
"q"
39
remove
var
3655
def
31
ref
83
ref
618
ref
42
ref
3655
ref
varTerm
3656
def
46
ref
appTerm
3657
def
absTerm
3658
def
appTerm
3659
def
appTerm
appTerm
618
ref
42
ref
83
ref
3657
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3660
def
3656
ref
appTerm
3661
def
betaConv
74
ref
852
ref
3660
ref
appTerm
3662
def
absTerm
3663
def
77
ref
appTerm
3664
def
betaConv
nil
252
ref
3663
ref
appTerm
3665
def
axiom
nil
74
ref
3665
remove
nil
cons
cons
75
ref
3664
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3663
remove
nil
cons
cons
1854
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3662
remove
nil
cons
cons
75
ref
3661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3660
remove
nil
cons
cons
856
ref
3656
ref
nil
cons
cons
nil
cons
3666
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3667
def
subst
3668
def
subst
eqMp
3621
ref
1031
ref
123
ref
3645
ref
810
ref
42
ref
3649
ref
46
ref
appTerm
betaConv
3669
def
absThm
appThm
appThm
appThm
810
ref
42
ref
3645
remove
3669
remove
appThm
absThm
appThm
appThm
nil
3655
ref
3649
remove
nil
cons
cons
3654
remove
cons
nil
cons
cons
3667
remove
subst
eqMp
absThm
appThm
trans
appThm
1158
ref
810
ref
42
ref
123
ref
3639
ref
3621
ref
1031
ref
1031
ref
3647
ref
absTerm
3670
def
1032
ref
appTerm
betaConv
3671
def
absThm
appThm
appThm
appThm
3621
ref
1031
ref
3639
remove
3671
remove
appThm
absThm
appThm
appThm
nil
3652
ref
3670
remove
nil
cons
cons
770
ref
nil
cons
cons
nil
cons
cons
3668
remove
subst
eqMp
absThm
appThm
appThm
547
ref
1031
ref
41
ref
42
ref
3642
ref
3552
remove
appTerm
3672
def
absTerm
appTerm
absTerm
3673
def
appTerm
3674
def
refl
3675
def
appThm
123
ref
1158
ref
810
ref
42
ref
42
ref
619
ref
1031
ref
3648
ref
absTerm
3676
def
appTerm
absTerm
3677
def
46
ref
appTerm
betaConv
3678
def
absThm
appThm
appThm
3675
ref
appThm
appThm
810
ref
42
ref
1158
ref
3678
remove
appThm
3675
ref
appThm
absThm
appThm
appThm
nil
158
ref
3677
remove
nil
cons
cons
75
ref
3674
ref
nil
cons
3679
def
cons
nil
cons
3680
def
cons
nil
cons
cons
75
ref
31
ref
82
ref
817
ref
appTerm
79
ref
appTerm
appTerm
618
ref
42
ref
82
ref
753
ref
appTerm
79
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3681
def
79
ref
appTerm
3682
def
betaConv
158
ref
252
ref
3681
ref
appTerm
3683
def
absTerm
3684
def
159
ref
appTerm
3685
def
betaConv
nil
852
ref
3684
ref
appTerm
3686
def
axiom
nil
74
ref
3686
remove
nil
cons
cons
75
ref
3685
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3684
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3683
remove
nil
cons
cons
75
ref
3682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3681
remove
nil
cons
cons
3522
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3687
def
subst
eqMp
810
ref
42
ref
123
ref
1158
ref
3621
ref
1031
ref
3676
ref
1032
ref
appTerm
betaConv
3688
def
absThm
appThm
appThm
3675
ref
appThm
appThm
3621
ref
1031
ref
1158
ref
3688
remove
appThm
3675
remove
appThm
absThm
appThm
appThm
nil
"p"
43
remove
var
3689
def
3676
remove
nil
cons
cons
3680
remove
cons
nil
cons
cons
649
ref
3687
ref
subst
subst
eqMp
absThm
appThm
trans
trans
appThm
123
ref
1805
ref
3621
ref
1031
ref
1031
ref
618
ref
42
ref
3644
remove
3648
ref
appTerm
3690
def
absTerm
3691
def
appTerm
absTerm
3692
def
1032
ref
appTerm
betaConv
3693
def
absThm
appThm
appThm
618
ref
42
ref
619
ref
1031
ref
82
ref
3648
ref
appTerm
3674
ref
appTerm
absTerm
3694
def
appTerm
absTerm
3695
def
appTerm
3696
def
refl
3697
def
appThm
appThm
3621
ref
1031
ref
1805
ref
3693
remove
appThm
3697
remove
appThm
absThm
appThm
appThm
nil
3689
remove
3692
remove
nil
cons
cons
75
ref
3696
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
649
ref
75
ref
31
ref
971
ref
817
remove
appTerm
3698
def
79
ref
appTerm
appTerm
618
ref
42
ref
971
ref
753
remove
appTerm
3699
def
79
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3700
def
79
remove
appTerm
3701
def
betaConv
158
ref
252
ref
3700
ref
appTerm
3702
def
absTerm
3703
def
159
ref
appTerm
3704
def
betaConv
nil
852
ref
3703
ref
appTerm
3705
def
axiom
nil
74
ref
3705
remove
nil
cons
cons
75
ref
3704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3703
remove
nil
cons
cons
857
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3702
remove
nil
cons
cons
75
ref
3701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3700
remove
nil
cons
cons
3522
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
eqMp
3621
ref
1031
ref
123
ref
1805
ref
810
ref
42
ref
3691
ref
46
ref
appTerm
betaConv
3706
def
absThm
appThm
appThm
810
ref
42
ref
3695
ref
46
ref
appTerm
betaConv
3707
def
absThm
appThm
appThm
appThm
810
ref
42
ref
1805
ref
3706
remove
appThm
3707
remove
appThm
absThm
appThm
appThm
nil
158
ref
3691
remove
nil
cons
cons
3655
ref
3695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3655
ref
31
ref
3698
remove
3659
ref
appTerm
appTerm
618
ref
42
ref
3699
remove
3657
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3708
def
3656
ref
appTerm
3709
def
betaConv
158
ref
852
ref
3708
ref
appTerm
3710
def
absTerm
3711
def
159
remove
appTerm
3712
def
betaConv
nil
852
ref
3711
ref
appTerm
3713
def
axiom
nil
74
ref
3713
remove
nil
cons
cons
75
ref
3712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3711
remove
nil
cons
cons
857
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3710
remove
nil
cons
cons
75
ref
3709
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3708
remove
nil
cons
cons
3666
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
810
ref
42
ref
123
ref
971
ref
3690
ref
appTerm
3714
def
refl
3715
def
3621
ref
1031
ref
3694
ref
1032
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
3621
remove
"y'"
20
ref
var
3716
def
3715
remove
3694
ref
3716
ref
varTerm
3717
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
3652
ref
3694
remove
nil
cons
cons
74
ref
3690
remove
nil
cons
3718
def
cons
3719
def
nil
cons
cons
nil
cons
cons
649
ref
3655
ref
31
ref
1895
ref
3659
remove
appTerm
appTerm
618
ref
42
ref
1895
ref
3657
remove
appTerm
absTerm
3720
def
appTerm
appTerm
absTerm
3721
def
3656
ref
appTerm
3722
def
betaConv
74
ref
852
ref
3721
ref
appTerm
3723
def
absTerm
3724
def
77
ref
appTerm
3725
def
betaConv
nil
252
ref
3724
ref
appTerm
3726
def
axiom
nil
74
ref
3726
remove
nil
cons
cons
75
ref
3725
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3724
remove
nil
cons
cons
1854
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3723
remove
nil
cons
cons
75
ref
3722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3721
remove
nil
cons
cons
3666
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3727
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
3561
remove
assume
eqMp
nil
74
ref
619
ref
1031
ref
618
ref
42
ref
619
remove
3716
ref
3714
remove
82
ref
3646
remove
324
ref
3551
ref
3717
ref
appTerm
3728
def
appTerm
3729
def
appTerm
3730
def
appTerm
3674
remove
appTerm
3731
def
appTerm
3732
def
absTerm
3733
def
appTerm
3734
def
absTerm
3735
def
appTerm
3736
def
absTerm
3737
def
appTerm
3738
def
nil
cons
cons
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
560
ref
1031
ref
76
ref
3737
ref
1032
ref
appTerm
3739
def
appTerm
337
ref
appTerm
3740
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
650
ref
subst
1031
ref
nil
106
ref
3740
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3739
ref
nil
cons
3741
def
cons
345
ref
cons
nil
cons
cons
3742
def
93
ref
subst
3742
remove
156
ref
subst
3739
ref
betaConv
3739
remove
assume
eqMp
nil
74
ref
3736
ref
nil
cons
cons
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
147
ref
42
ref
76
ref
3735
ref
46
ref
appTerm
3743
def
appTerm
337
ref
appTerm
3744
def
absTerm
3745
def
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
42
ref
nil
106
ref
3744
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3743
ref
nil
cons
3746
def
cons
345
ref
cons
nil
cons
cons
3747
def
93
ref
subst
3747
remove
156
ref
subst
3743
ref
betaConv
3743
remove
assume
eqMp
nil
74
ref
3734
ref
nil
cons
cons
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
560
ref
3716
ref
76
ref
3733
ref
3717
ref
appTerm
3748
def
appTerm
337
ref
appTerm
3749
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
650
remove
subst
3716
remove
nil
106
ref
3749
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3748
ref
nil
cons
3750
def
cons
345
ref
cons
nil
cons
cons
3751
def
93
ref
subst
3751
remove
156
ref
subst
3748
ref
betaConv
3748
remove
assume
eqMp
nil
74
ref
3732
remove
nil
cons
3752
def
cons
345
ref
cons
nil
cons
cons
3753
def
144
ref
subst
proveHyp
3753
ref
93
ref
subst
3753
remove
156
ref
subst
nil
74
ref
3731
remove
nil
cons
3754
def
cons
345
ref
cons
nil
cons
cons
3755
def
93
ref
subst
3755
remove
156
ref
subst
nil
"_14620"
20
ref
var
3756
def
3717
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
119
ref
3730
remove
nil
cons
cons
121
ref
3679
ref
cons
nil
cons
cons
nil
cons
cons
3757
def
135
ref
subst
3758
def
nil
840
ref
121
ref
3729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3759
def
135
ref
subst
proveHyp
nil
770
ref
75
ref
3551
ref
3756
remove
varTerm
3760
def
appTerm
3761
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"_14621"
2
ref
var
3762
def
148
ref
cons
nil
cons
nil
cons
cons
nil
"b"
26
ref
var
3763
def
324
ref
150
ref
3762
remove
varTerm
3764
def
appTerm
3765
def
appTerm
nil
cons
3766
def
cons
"a"
26
ref
var
3767
def
3550
ref
3764
ref
appTerm
3760
ref
appTerm
3768
def
nil
cons
3769
def
cons
nil
cons
cons
nil
cons
cons
nil
74
ref
31
ref
3767
ref
varTerm
3770
def
appTerm
3771
def
337
ref
appTerm
3772
def
nil
cons
3773
def
cons
3774
def
75
ref
31
ref
971
ref
3770
ref
appTerm
3763
ref
varTerm
3775
def
appTerm
appTerm
76
ref
324
ref
3775
ref
appTerm
3776
def
appTerm
3777
def
3770
ref
appTerm
appTerm
nil
cons
3778
def
cons
nil
cons
3779
def
cons
nil
cons
cons
3780
def
93
ref
subst
3780
remove
156
ref
subst
31
ref
"_606"
26
ref
var
3781
def
31
ref
971
ref
3781
remove
varTerm
3782
def
appTerm
3775
ref
appTerm
appTerm
3777
ref
3782
remove
appTerm
appTerm
absTerm
3783
def
3770
ref
appTerm
3784
def
appTerm
refl
3785
def
3783
ref
337
ref
appTerm
betaConv
appThm
123
ref
3784
remove
betaConv
appThm
3786
def
31
ref
1156
remove
3775
ref
appTerm
appTerm
3777
ref
337
ref
appTerm
appTerm
refl
appThm
trans
3783
remove
refl
3787
def
3772
remove
assume
3788
def
appThm
eqMp
sym
123
ref
nil
106
ref
3775
ref
nil
cons
3789
def
cons
nil
cons
nil
cons
cons
3790
def
1176
ref
subst
appThm
nil
106
ref
3776
ref
nil
cons
3791
def
cons
nil
cons
nil
cons
cons
3792
def
1220
ref
subst
3790
ref
1852
ref
subst
trans
appThm
nil
58
ref
3789
remove
cons
nil
cons
nil
cons
cons
1855
ref
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
3773
ref
cons
3793
def
121
ref
3778
ref
cons
nil
cons
3794
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
3771
remove
98
ref
appTerm
3795
def
nil
cons
3796
def
cons
3797
def
3779
remove
cons
nil
cons
cons
3798
def
93
ref
subst
3798
remove
156
ref
subst
3785
remove
"_604"
26
ref
var
3799
def
31
ref
971
ref
3799
remove
varTerm
3800
def
appTerm
3775
ref
appTerm
appTerm
3777
ref
3800
remove
appTerm
appTerm
absTerm
98
ref
appTerm
betaConv
appThm
3786
remove
31
ref
1190
remove
3775
ref
appTerm
appTerm
3777
remove
98
ref
appTerm
appTerm
refl
appThm
trans
3787
remove
3795
remove
assume
3801
def
appThm
eqMp
sym
123
ref
3790
ref
1199
ref
subst
appThm
3792
ref
945
ref
subst
appThm
3606
ref
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
119
ref
3796
remove
cons
3802
def
3794
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
1237
remove
3770
ref
appTerm
3803
def
betaConv
1240
remove
nil
1241
remove
75
ref
3803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
1242
remove
58
ref
3770
ref
nil
cons
3804
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
3805
def
nil
3802
ref
121
ref
3773
remove
cons
3806
def
1243
ref
3778
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
3807
def
subst
346
ref
nil
3767
ref
3765
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
106
ref
3804
remove
cons
nil
cons
nil
cons
cons
1852
remove
subst
3808
def
subst
appThm
3768
remove
refl
appThm
trans
nil
75
ref
3769
remove
cons
74
ref
3766
remove
cons
nil
cons
cons
nil
cons
cons
nil
1791
ref
115
remove
cons
1792
ref
107
remove
cons
nil
cons
cons
nil
cons
cons
1791
remove
31
ref
971
ref
1793
ref
appTerm
1794
ref
appTerm
appTerm
971
ref
1794
ref
appTerm
1793
ref
appTerm
appTerm
absTerm
3809
def
1794
remove
appTerm
3810
def
betaConv
1792
remove
252
ref
3809
ref
appTerm
3811
def
absTerm
3812
def
1793
remove
appTerm
3813
def
betaConv
nil
252
ref
3812
ref
appTerm
3814
def
axiom
nil
74
ref
3814
remove
nil
cons
cons
75
ref
3813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3812
remove
nil
cons
cons
1803
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3811
remove
nil
cons
cons
75
ref
3810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3809
remove
nil
cons
cons
1804
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
3815
def
subst
42
ref
3642
remove
3761
remove
appTerm
absTerm
3816
def
3764
ref
appTerm
3817
def
betaConv
3673
ref
3760
ref
appTerm
3818
def
betaConv
3757
remove
365
ref
subst
nil
74
ref
3679
remove
cons
75
ref
3818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
3673
remove
nil
cons
cons
561
ref
3760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
41
ref
3816
ref
appTerm
nil
cons
cons
75
ref
3817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3816
remove
nil
cons
cons
42
ref
3764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
74
ref
3728
remove
nil
cons
cons
3819
def
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
3819
remove
nil
cons
nil
cons
cons
1889
ref
subst
3758
remove
3759
remove
365
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
119
ref
3754
ref
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3719
remove
345
ref
cons
nil
cons
cons
3820
def
93
ref
subst
3820
remove
156
ref
subst
nil
"_14619"
20
remove
var
3821
def
1034
remove
cons
nil
cons
nil
cons
cons
nil
119
ref
3653
remove
cons
121
ref
3648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3822
def
365
ref
subst
3823
def
nil
840
remove
121
ref
3647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3824
def
135
ref
subst
proveHyp
nil
770
remove
75
ref
3551
remove
3821
remove
varTerm
3825
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"_14618"
2
ref
var
3826
def
148
remove
cons
nil
cons
nil
cons
cons
nil
3763
ref
324
ref
150
ref
3826
remove
varTerm
3827
def
appTerm
3828
def
appTerm
3829
def
nil
cons
3830
def
cons
3767
ref
3550
remove
3827
ref
appTerm
3831
def
3825
ref
appTerm
3832
def
nil
cons
3833
def
cons
nil
cons
cons
nil
cons
cons
3807
remove
subst
346
ref
nil
3767
ref
3828
remove
nil
cons
cons
nil
cons
nil
cons
cons
3808
remove
subst
appThm
3832
remove
refl
appThm
trans
nil
75
ref
3833
remove
cons
74
ref
3830
remove
cons
nil
cons
cons
nil
cons
cons
3815
remove
subst
1031
ref
971
ref
3829
remove
appTerm
3831
remove
1032
remove
appTerm
appTerm
absTerm
3834
def
3825
ref
appTerm
3835
def
betaConv
42
ref
547
ref
1031
ref
3672
remove
absTerm
appTerm
absTerm
3836
def
3827
ref
appTerm
3837
def
betaConv
572
ref
42
ref
123
ref
1805
ref
1946
ref
refl
appThm
3838
def
573
ref
1031
ref
3641
ref
absThm
appThm
appThm
appThm
573
remove
1031
remove
3838
remove
3641
remove
appThm
absThm
appThm
appThm
nil
3652
remove
3640
remove
cons
74
ref
1946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
649
remove
3655
ref
31
ref
1895
remove
41
ref
3658
remove
appTerm
appTerm
appTerm
41
ref
3720
remove
appTerm
appTerm
absTerm
3839
def
3656
remove
appTerm
3840
def
betaConv
74
ref
852
ref
3839
ref
appTerm
3841
def
absTerm
3842
def
77
remove
appTerm
3843
def
betaConv
nil
252
ref
3842
ref
appTerm
3844
def
axiom
nil
74
ref
3844
remove
nil
cons
cons
75
ref
3843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
ref
254
ref
3842
remove
nil
cons
cons
1854
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3841
remove
nil
cons
cons
75
ref
3840
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
ref
855
ref
3839
remove
nil
cons
cons
3666
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
3822
remove
135
ref
subst
eqMp
nil
74
ref
41
ref
3836
ref
appTerm
nil
cons
cons
75
ref
3837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3836
remove
nil
cons
cons
42
ref
3827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
547
ref
3834
ref
appTerm
nil
cons
cons
75
ref
3835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
3834
remove
nil
cons
cons
561
ref
3825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
74
ref
3622
remove
cons
3845
def
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
3845
remove
nil
cons
nil
cons
cons
1889
ref
subst
3823
remove
3824
remove
365
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
119
ref
3718
remove
cons
3846
def
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3846
remove
121
ref
3754
remove
cons
1243
ref
344
remove
cons
nil
cons
3847
def
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
eqMp
nil
119
ref
3752
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3750
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
547
ref
561
ref
76
ref
3733
ref
1266
ref
appTerm
appTerm
337
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
3734
remove
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
ref
560
ref
3733
remove
nil
cons
cons
1955
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3746
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
ref
3745
remove
appTerm
nil
cons
cons
75
ref
76
ref
3736
remove
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3735
remove
nil
cons
cons
1955
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3741
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
547
remove
561
remove
76
ref
3737
ref
1266
remove
appTerm
appTerm
337
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
3738
remove
appTerm
337
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
559
remove
560
remove
3737
remove
nil
cons
cons
1955
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3562
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
subst
3848
def
subst
eqMp
429
ref
2562
ref
123
ref
429
ref
320
ref
3544
remove
76
ref
972
remove
2565
ref
appTerm
appTerm
332
ref
2498
ref
76
ref
591
remove
3091
ref
2565
ref
appTerm
3849
def
appTerm
appTerm
3533
ref
appTerm
absTerm
appTerm
3850
def
appTerm
refl
appThm
absThm
appThm
appThm
346
ref
3543
remove
2565
ref
appTerm
betaConv
appThm
3850
ref
refl
appThm
appThm
nil
3548
remove
121
ref
3850
ref
nil
cons
cons
"e"
198
ref
var
3851
def
2565
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
275
ref
nil
74
ref
31
ref
41
ref
"m"
2
ref
var
3852
def
76
ref
150
ref
3852
ref
varTerm
3853
def
appTerm
3854
def
appTerm
3855
def
76
ref
63
ref
3853
ref
appTerm
"e"
2
ref
var
3856
def
varTerm
3857
def
appTerm
3858
def
appTerm
126
ref
appTerm
appTerm
absTerm
appTerm
appTerm
76
ref
150
ref
3857
ref
appTerm
3859
def
appTerm
126
ref
appTerm
appTerm
3860
def
nil
cons
cons
nil
cons
nil
cons
cons
1856
ref
subst
sym
3861
def
147
ref
76
ref
324
ref
3860
ref
appTerm
appTerm
337
ref
appTerm
absTerm
3862
def
150
ref
appTerm
3863
def
betaConv
3856
ref
852
ref
3862
ref
appTerm
3864
def
absTerm
3865
def
3857
ref
appTerm
3866
def
betaConv
121
ref
41
ref
3865
ref
appTerm
3867
def
absTerm
3868
def
126
ref
appTerm
3869
def
betaConv
252
ref
refl
3870
def
121
ref
572
ref
3856
ref
852
ref
refl
3871
def
147
ref
3861
remove
absThm
appThm
absThm
appThm
absThm
appThm
123
ref
3870
remove
121
ref
121
ref
41
ref
3856
ref
852
ref
147
ref
3860
remove
absTerm
appTerm
absTerm
appTerm
absTerm
3872
def
126
remove
appTerm
betaConv
absThm
appThm
appThm
1158
ref
3872
ref
98
ref
appTerm
betaConv
appThm
3872
ref
337
ref
appTerm
betaConv
appThm
appThm
nil
"p"
28
ref
var
3873
def
3872
remove
nil
cons
cons
nil
cons
nil
cons
cons
3873
ref
31
ref
252
ref
3763
ref
3873
remove
varTerm
3874
def
3775
ref
appTerm
absTerm
appTerm
appTerm
82
ref
3874
ref
98
ref
appTerm
appTerm
3874
ref
337
ref
appTerm
appTerm
appTerm
absTerm
3875
def
3874
ref
appTerm
3876
def
betaConv
nil
38
remove
0
ref
101
ref
27
ref
cons
opType
constTerm
3875
ref
appTerm
3877
def
axiom
nil
74
ref
3877
remove
nil
cons
cons
75
ref
3876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
"A"
29
remove
cons
nil
cons
"P"
101
remove
var
3875
remove
nil
cons
cons
"x"
28
remove
var
3874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
1158
ref
572
ref
3856
ref
3871
ref
147
ref
123
ref
572
ref
3852
ref
3855
ref
refl
3878
def
nil
106
ref
3858
ref
nil
cons
3879
def
cons
nil
cons
nil
cons
cons
3880
def
945
ref
subst
appThm
nil
106
ref
3854
ref
nil
cons
3881
def
cons
nil
cons
nil
cons
cons
945
ref
subst
trans
absThm
appThm
2175
ref
trans
appThm
nil
106
ref
3859
ref
nil
cons
3882
def
cons
nil
cons
nil
cons
cons
3883
def
945
remove
subst
appThm
3606
ref
trans
absThm
appThm
248
remove
854
ref
18
ref
cons
3884
def
257
remove
subst
subst
trans
absThm
appThm
2175
remove
trans
appThm
572
ref
3856
ref
3871
remove
147
ref
123
ref
572
ref
3852
ref
3878
remove
3880
remove
1220
ref
subst
appThm
absThm
appThm
appThm
3883
remove
1220
ref
subst
appThm
absThm
appThm
absThm
appThm
appThm
nil
106
ref
41
ref
3856
ref
852
remove
147
ref
31
ref
41
ref
3852
ref
3855
remove
324
ref
3858
ref
appTerm
3885
def
appTerm
absTerm
3886
def
appTerm
3887
def
appTerm
324
ref
3859
ref
appTerm
3888
def
appTerm
3889
def
absTerm
3890
def
appTerm
3891
def
absTerm
3892
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1171
ref
subst
trans
trans
trans
sym
nil
147
ref
3892
remove
nil
cons
cons
nil
cons
nil
cons
cons
265
ref
subst
3856
remove
nil
106
ref
3891
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
855
ref
3890
remove
nil
cons
cons
nil
cons
nil
cons
cons
3884
remove
265
ref
subst
subst
147
ref
nil
106
ref
3889
ref
nil
cons
3893
def
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3893
remove
cons
nil
cons
nil
cons
cons
1856
remove
subst
sym
nil
74
ref
324
ref
3889
remove
appTerm
3894
def
nil
cons
3895
def
cons
345
ref
cons
nil
cons
cons
3896
def
93
ref
subst
3896
remove
156
ref
subst
nil
74
ref
3887
remove
nil
cons
cons
75
ref
3888
ref
nil
cons
3897
def
cons
nil
cons
3898
def
cons
nil
cons
cons
3590
remove
subst
1805
remove
1158
ref
572
remove
3852
ref
nil
74
ref
3881
ref
cons
75
ref
3885
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3899
def
3615
remove
subst
absThm
appThm
appThm
nil
74
ref
3882
ref
cons
3900
def
nil
cons
nil
cons
cons
3901
def
1853
ref
subst
appThm
appThm
1158
ref
nil
147
ref
3886
ref
nil
cons
cons
nil
cons
nil
cons
cons
3619
remove
subst
810
ref
3852
ref
1221
ref
3886
remove
3853
ref
appTerm
betaConv
appThm
3899
remove
3638
remove
subst
1158
ref
3854
ref
refl
appThm
nil
74
ref
3879
ref
cons
nil
cons
nil
cons
cons
1853
remove
subst
appThm
trans
trans
absThm
appThm
trans
appThm
3888
ref
refl
3902
def
appThm
appThm
trans
971
ref
82
ref
41
ref
3852
ref
971
ref
324
ref
3854
ref
appTerm
appTerm
3885
remove
appTerm
absTerm
3903
def
appTerm
3904
def
appTerm
3859
ref
appTerm
3905
def
appTerm
3906
def
refl
3907
def
123
ref
1158
ref
810
ref
3852
ref
3852
ref
82
ref
3854
remove
appTerm
3858
remove
appTerm
3908
def
absTerm
3909
def
3853
ref
appTerm
betaConv
3910
def
absThm
appThm
appThm
3902
ref
appThm
appThm
810
ref
3852
ref
1158
ref
3910
remove
appThm
3902
remove
appThm
absThm
appThm
appThm
nil
158
remove
3909
remove
nil
cons
cons
3898
remove
cons
nil
cons
cons
3687
remove
subst
eqMp
appThm
123
ref
3907
ref
810
ref
3852
ref
3852
ref
82
ref
3908
ref
appTerm
3888
remove
appTerm
3911
def
absTerm
3912
def
3853
ref
appTerm
betaConv
3913
def
absThm
appThm
appThm
appThm
810
remove
3852
ref
3907
remove
3913
remove
appThm
absThm
appThm
appThm
nil
3655
remove
3912
remove
nil
cons
cons
74
ref
3905
remove
nil
cons
3914
def
cons
3915
def
nil
cons
cons
nil
cons
cons
3727
remove
subst
eqMp
trans
trans
3894
remove
assume
eqMp
nil
74
ref
618
remove
3852
ref
3906
remove
3911
ref
appTerm
3916
def
absTerm
3917
def
appTerm
3918
def
nil
cons
cons
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
147
ref
3852
ref
76
ref
3917
ref
3853
ref
appTerm
3919
def
appTerm
337
ref
appTerm
3920
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
265
remove
subst
3852
remove
nil
106
ref
3920
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3919
ref
nil
cons
3921
def
cons
345
ref
cons
nil
cons
cons
3922
def
93
ref
subst
3922
remove
156
ref
subst
3919
ref
betaConv
3919
remove
assume
eqMp
nil
74
ref
3916
remove
nil
cons
3923
def
cons
345
ref
cons
nil
cons
cons
3924
def
144
ref
subst
proveHyp
3924
ref
93
ref
subst
3924
remove
156
ref
subst
nil
74
ref
3911
remove
nil
cons
3925
def
cons
345
ref
cons
nil
cons
cons
3926
def
93
ref
subst
3926
remove
156
ref
subst
31
ref
"_14627"
2
ref
var
3927
def
150
ref
3927
remove
varTerm
appTerm
absTerm
3928
def
3853
remove
appTerm
3929
def
appTerm
refl
3928
remove
3857
ref
appTerm
betaConv
appThm
123
ref
3929
remove
betaConv
appThm
3859
ref
refl
appThm
trans
819
remove
refl
nil
119
ref
3908
remove
nil
cons
cons
121
ref
3897
remove
cons
nil
cons
cons
nil
cons
cons
3930
def
135
ref
subst
3931
def
nil
119
ref
3881
remove
cons
121
ref
3879
remove
cons
nil
cons
cons
nil
cons
cons
3932
def
365
ref
subst
proveHyp
appThm
eqMp
3931
remove
3932
remove
135
ref
subst
proveHyp
eqMp
nil
3900
ref
345
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
3901
remove
1889
ref
subst
3930
remove
365
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3925
ref
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3915
remove
345
ref
cons
nil
cons
cons
3933
def
93
ref
subst
3933
remove
156
ref
subst
nil
119
ref
3904
remove
nil
cons
3934
def
cons
121
ref
3882
remove
cons
nil
cons
cons
nil
cons
cons
3935
def
365
ref
subst
nil
3900
remove
75
ref
63
ref
3857
ref
appTerm
3857
ref
appTerm
3936
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
42
ref
3857
ref
nil
cons
3937
def
cons
nil
cons
3938
def
nil
cons
cons
166
remove
subst
eqMp
nil
74
ref
82
ref
3859
remove
appTerm
3936
remove
appTerm
nil
cons
cons
345
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"_14622"
2
remove
var
3939
def
3937
remove
cons
nil
cons
nil
cons
cons
nil
3763
remove
63
remove
3939
remove
varTerm
3940
def
appTerm
3857
remove
appTerm
3941
def
nil
cons
cons
3767
remove
150
remove
3940
ref
appTerm
3942
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
3774
remove
75
ref
31
ref
971
ref
324
ref
3770
ref
appTerm
appTerm
3776
ref
appTerm
appTerm
324
ref
82
ref
3770
ref
appTerm
3775
ref
appTerm
appTerm
appTerm
nil
cons
3943
def
cons
nil
cons
3944
def
cons
nil
cons
cons
3945
def
93
ref
subst
3945
remove
156
ref
subst
31
ref
"_614"
26
ref
var
3946
def
31
ref
971
ref
324
ref
3946
remove
varTerm
3947
def
appTerm
appTerm
3776
ref
appTerm
appTerm
324
ref
82
ref
3947
remove
appTerm
3775
ref
appTerm
appTerm
appTerm
absTerm
3948
def
3770
remove
appTerm
3949
def
appTerm
refl
3950
def
3948
ref
337
ref
appTerm
betaConv
appThm
123
ref
3949
remove
betaConv
appThm
3951
def
31
ref
3602
remove
3776
ref
appTerm
appTerm
324
ref
1212
remove
3775
ref
appTerm
appTerm
appTerm
refl
appThm
trans
3948
remove
refl
3952
def
3788
remove
appThm
eqMp
sym
123
ref
3605
remove
3776
ref
refl
3953
def
appThm
3792
ref
1199
remove
subst
trans
appThm
1221
ref
3790
ref
1225
remove
subst
appThm
1227
remove
trans
appThm
3606
remove
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
3793
remove
121
ref
3943
ref
cons
nil
cons
3954
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3797
remove
3944
remove
cons
nil
cons
cons
3955
def
93
ref
subst
3955
remove
156
ref
subst
3950
remove
"_612"
26
remove
var
3956
def
31
ref
971
ref
324
ref
3956
remove
varTerm
3957
def
appTerm
appTerm
3776
ref
appTerm
appTerm
324
ref
82
ref
3957
remove
appTerm
3775
ref
appTerm
appTerm
appTerm
absTerm
98
remove
appTerm
betaConv
appThm
3951
remove
31
ref
3612
remove
3776
remove
appTerm
appTerm
324
ref
1167
remove
3775
remove
appTerm
appTerm
appTerm
refl
appThm
trans
3952
remove
3801
remove
appThm
eqMp
sym
123
ref
3614
remove
3953
remove
appThm
3792
remove
1176
remove
subst
trans
appThm
1221
ref
3790
remove
1171
remove
subst
appThm
appThm
nil
58
remove
3791
remove
cons
nil
cons
nil
cons
cons
1855
remove
subst
trans
sym
112
ref
eqMp
eqMp
eqMp
nil
3802
ref
3954
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
3805
remove
nil
3802
remove
3806
remove
1243
ref
3943
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
74
ref
82
ref
3942
remove
appTerm
3941
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1889
remove
subst
trans
3903
ref
3940
ref
appTerm
3958
def
betaConv
3935
remove
135
ref
subst
nil
74
ref
3934
remove
cons
75
ref
3958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3903
remove
nil
cons
cons
42
ref
3940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
119
ref
3914
remove
cons
3959
def
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
3959
remove
121
ref
3925
remove
cons
3847
remove
cons
cons
nil
cons
cons
1259
ref
subst
proveHyp
proveHyp
eqMp
nil
119
ref
3923
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
3921
remove
cons
1955
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
41
remove
42
remove
76
ref
3917
ref
46
remove
appTerm
appTerm
337
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
3918
remove
appTerm
337
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
ref
147
ref
3917
remove
nil
cons
cons
1955
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
3895
remove
cons
1955
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
252
remove
3868
ref
appTerm
nil
cons
cons
75
ref
3869
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
59
remove
254
remove
3868
remove
nil
cons
cons
798
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3867
remove
nil
cons
cons
75
ref
3866
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
146
remove
147
remove
3865
remove
nil
cons
cons
3938
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
3864
remove
nil
cons
cons
75
ref
3863
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
854
remove
855
remove
3862
remove
nil
cons
cons
856
remove
830
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
subst
3960
def
subst
eqMp
absThm
appThm
trans
appThm
3538
ref
refl
3961
def
appThm
sym
nil
74
ref
332
ref
2562
ref
76
ref
288
ref
2565
ref
appTerm
3962
def
1822
ref
appTerm
appTerm
3963
def
3850
ref
appTerm
absTerm
appTerm
3964
def
nil
cons
3965
def
cons
75
ref
3538
ref
nil
cons
3966
def
cons
nil
cons
3967
def
cons
nil
cons
cons
3968
def
93
ref
subst
3968
remove
156
ref
subst
nil
269
ref
3535
remove
nil
cons
cons
3969
def
nil
cons
nil
cons
cons
276
ref
subst
2498
ref
nil
106
ref
3534
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
3513
ref
nil
cons
3970
def
cons
75
ref
3533
remove
nil
cons
3971
def
cons
nil
cons
cons
nil
cons
cons
3972
def
93
ref
subst
3972
remove
156
ref
subst
31
ref
"_28433"
198
ref
var
3973
def
975
ref
2728
ref
3531
ref
3973
remove
varTerm
appTerm
absTerm
appTerm
absTerm
3974
def
271
ref
appTerm
3975
def
appTerm
refl
3974
ref
3512
ref
appTerm
betaConv
appThm
123
ref
3975
remove
betaConv
appThm
975
ref
2728
ref
3531
ref
3512
ref
appTerm
absTerm
appTerm
refl
appThm
trans
3974
remove
refl
3513
remove
assume
3976
def
appThm
eqMp
sym
1831
ref
2728
ref
1539
ref
3414
ref
nil
3400
ref
3087
remove
cons
3977
def
3415
remove
3529
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3418
remove
1274
remove
subst
3978
def
subst
appThm
3527
ref
appThm
appThm
3512
ref
refl
3979
def
appThm
absThm
appThm
sym
1831
ref
2728
ref
1539
ref
3414
ref
565
ref
0
ref
0
ref
0
ref
3394
ref
3397
ref
cons
opType
3980
def
27
ref
cons
opType
3981
def
3980
ref
nil
cons
3982
def
cons
opType
constTerm
3983
def
refl
3984
def
"_28451"
3980
ref
var
3985
def
429
ref
3446
ref
429
ref
"b'"
198
ref
var
3986
def
nil
"b"
3159
ref
var
483
remove
0
ref
198
ref
0
ref
3159
ref
3397
ref
cons
opType
nil
cons
cons
opType
constTerm
3987
def
3446
ref
varTerm
3988
def
appTerm
3989
def
3530
ref
3986
ref
varTerm
3990
def
appTerm
appTerm
3991
def
nil
cons
cons
"a"
3159
ref
var
3985
ref
varTerm
3401
remove
3988
ref
appTerm
3992
def
3990
ref
appTerm
3993
def
appTerm
3994
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
3397
remove
cons
nil
cons
3995
def
18
ref
cons
1288
remove
subst
subst
absThm
appThm
absThm
appThm
absThm
appThm
3529
remove
2499
ref
appTerm
betaConv
appThm
nil
3986
ref
3445
ref
cons
3448
remove
cons
nil
cons
cons
3986
ref
25
ref
0
ref
3159
ref
3160
ref
nil
cons
cons
opType
constTerm
3996
def
3983
remove
3985
remove
332
ref
3446
ref
332
ref
3986
ref
3996
ref
3994
remove
appTerm
3991
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3997
def
appTerm
3998
def
3993
ref
appTerm
appTerm
3991
ref
appTerm
absTerm
3999
def
3990
ref
appTerm
4000
def
betaConv
3446
ref
332
ref
3999
ref
appTerm
4001
def
absTerm
4002
def
3988
ref
appTerm
4003
def
betaConv
3997
ref
3998
remove
appTerm
4004
def
betaConv
3997
ref
"_28449"
3394
remove
var
4005
def
3987
ref
565
remove
0
ref
0
ref
3419
ref
27
ref
cons
opType
3419
ref
nil
cons
cons
opType
constTerm
4006
def
"fn"
3419
remove
var
4007
def
332
ref
3446
ref
332
ref
3400
ref
317
ref
4007
ref
varTerm
3992
remove
3404
ref
appTerm
appTerm
appTerm
4008
def
3988
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4009
def
4005
remove
varTerm
4010
def
appTerm
appTerm
3530
ref
4006
remove
4007
remove
332
ref
3446
ref
332
ref
3400
ref
4008
remove
3404
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4011
def
4010
remove
appTerm
appTerm
appTerm
absTerm
4012
def
appTerm
betaConv
sym
nil
269
ref
3446
ref
332
ref
3986
ref
3996
ref
4012
ref
3993
ref
appTerm
4013
def
appTerm
3991
remove
appTerm
4014
def
absTerm
4015
def
appTerm
4016
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
3446
ref
nil
106
ref
4016
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
269
ref
4015
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
3986
ref
nil
106
ref
4014
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
4013
remove
betaConv
3996
ref
"_28446"
198
ref
var
4017
def
3989
ref
3530
ref
4017
ref
varTerm
appTerm
4018
def
appTerm
absTerm
3990
ref
appTerm
4019
def
appTerm
refl
4017
ref
3987
ref
4009
remove
3993
ref
appTerm
4020
def
appTerm
4021
def
4018
ref
appTerm
absTerm
4022
def
4011
remove
3993
ref
appTerm
4023
def
appTerm
betaConv
appThm
3996
ref
refl
4019
remove
betaConv
appThm
4021
remove
3530
ref
4023
remove
appTerm
appTerm
refl
appThm
trans
25
remove
0
ref
3398
ref
0
ref
3398
remove
27
ref
cons
opType
nil
cons
cons
opType
constTerm
4024
def
"_28445"
198
ref
var
4025
def
4017
remove
3987
ref
4025
remove
varTerm
appTerm
4018
remove
appTerm
absTerm
absTerm
4026
def
3988
ref
appTerm
4027
def
appTerm
refl
4026
ref
4020
remove
appTerm
betaConv
appThm
4024
remove
refl
4027
remove
betaConv
appThm
4022
remove
refl
appThm
trans
4026
remove
refl
nil
3400
remove
3990
ref
nil
cons
4028
def
cons
nil
cons
nil
cons
cons
4029
def
3451
ref
948
remove
subst
subst
appThm
eqMp
4029
remove
3451
remove
961
remove
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
3982
remove
cons
nil
cons
4030
def
"P"
3981
ref
var
3997
ref
nil
cons
4031
def
cons
"x"
3980
ref
var
4012
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
ref
subst
proveHyp
nil
74
ref
617
remove
0
remove
3981
ref
27
remove
cons
opType
constTerm
3997
remove
appTerm
nil
cons
cons
75
ref
4004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
"p"
3981
remove
var
4031
remove
cons
nil
cons
nil
cons
cons
4030
remove
18
remove
cons
946
remove
subst
subst
eqMp
eqMp
nil
74
ref
332
ref
4002
ref
appTerm
nil
cons
cons
75
ref
4003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4002
remove
nil
cons
cons
334
ref
3988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
4001
remove
nil
cons
cons
75
ref
4000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
3999
remove
nil
cons
cons
334
ref
4028
remove
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
4032
def
trans
appThm
3527
remove
appThm
appThm
3979
remove
appThm
absThm
appThm
sym
3432
ref
3512
ref
appTerm
betaConv
sym
1158
ref
nil
1833
ref
3510
ref
cons
nil
cons
cons
2545
remove
subst
appThm
nil
106
ref
1422
ref
3512
ref
appTerm
4033
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
31
ref
"_28437"
198
ref
var
4034
def
1422
ref
4034
remove
varTerm
appTerm
absTerm
4035
def
271
ref
appTerm
4036
def
appTerm
refl
4037
def
4035
ref
3512
ref
appTerm
betaConv
appThm
123
ref
4036
remove
betaConv
appThm
4038
def
4033
ref
refl
appThm
trans
4035
remove
refl
4039
def
3976
ref
appThm
eqMp
1423
ref
assume
eqMp
eqMp
appThm
1751
remove
trans
4040
def
sym
112
ref
eqMp
eqMp
274
ref
269
ref
3432
ref
nil
cons
4041
def
cons
334
ref
3512
ref
nil
cons
4042
def
cons
nil
cons
4043
def
cons
nil
cons
cons
778
ref
subst
proveHyp
123
ref
1831
ref
320
ref
3432
ref
325
ref
appTerm
betaConv
4044
def
absThm
appThm
appThm
1158
ref
3432
ref
3433
ref
appTerm
betaConv
appThm
429
ref
320
ref
76
ref
326
ref
3433
ref
appTerm
appTerm
4045
def
refl
1221
ref
4044
remove
appThm
appThm
absThm
appThm
appThm
appThm
nil
1421
ref
4041
remove
cons
nil
cons
nil
cons
cons
3472
remove
subst
eqMp
4046
def
975
ref
3432
remove
appTerm
assume
eqMp
nil
74
ref
82
ref
82
ref
3430
ref
3433
ref
appTerm
appTerm
1422
ref
3433
ref
appTerm
4047
def
appTerm
appTerm
332
ref
320
ref
4045
remove
324
ref
3431
remove
appTerm
4048
def
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
75
ref
975
ref
2728
ref
317
ref
3164
ref
3987
ref
3433
ref
appTerm
3530
ref
3444
remove
appTerm
4049
def
appTerm
appTerm
2729
ref
appTerm
appTerm
3512
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
3163
ref
76
ref
82
ref
82
ref
3430
ref
3167
ref
appTerm
4050
def
appTerm
1422
ref
3167
ref
appTerm
4051
def
appTerm
4052
def
appTerm
332
ref
320
ref
76
ref
326
ref
3167
ref
appTerm
appTerm
4048
ref
appTerm
absTerm
4053
def
appTerm
4054
def
appTerm
4055
def
appTerm
975
ref
2728
ref
317
ref
3164
ref
3987
ref
3167
ref
appTerm
3530
ref
976
ref
3167
ref
appTerm
appTerm
appTerm
appTerm
2729
ref
appTerm
appTerm
3512
ref
appTerm
absTerm
appTerm
4056
def
appTerm
4057
def
absTerm
4058
def
3433
ref
appTerm
4059
def
betaConv
nil
269
ref
4058
ref
nil
cons
cons
4060
def
nil
cons
nil
cons
cons
276
ref
subst
3163
remove
nil
106
ref
4057
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
4055
remove
nil
cons
4061
def
cons
75
ref
4056
ref
nil
cons
4062
def
cons
nil
cons
4063
def
cons
nil
cons
cons
4064
def
93
ref
subst
4064
remove
156
ref
subst
nil
119
ref
4052
remove
nil
cons
cons
121
ref
4054
remove
nil
cons
4065
def
cons
nil
cons
cons
nil
cons
cons
4066
def
135
ref
subst
4066
remove
365
ref
subst
nil
119
ref
4050
remove
nil
cons
4067
def
cons
121
ref
4051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
4053
ref
3512
ref
appTerm
4068
def
betaConv
nil
74
ref
4065
remove
cons
75
ref
4068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
4053
remove
nil
cons
cons
4043
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
288
ref
3512
ref
appTerm
3167
ref
appTerm
4069
def
appTerm
4070
def
324
remove
82
ref
3430
ref
3512
ref
appTerm
appTerm
4033
remove
appTerm
appTerm
appTerm
nil
cons
cons
4063
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
4070
remove
refl
1221
remove
4040
remove
appThm
1929
remove
trans
appThm
nil
106
ref
4069
remove
nil
cons
cons
nil
cons
nil
cons
cons
1220
remove
subst
nil
3313
ref
320
ref
4042
ref
cons
nil
cons
cons
nil
cons
cons
2326
remove
subst
trans
trans
appThm
4056
ref
refl
appThm
sym
nil
74
ref
4067
remove
cons
75
ref
76
ref
3222
remove
3512
ref
appTerm
appTerm
4056
remove
appTerm
4071
def
nil
cons
4072
def
cons
nil
cons
4073
def
cons
nil
cons
cons
144
ref
subst
346
ref
nil
3313
remove
3510
ref
cons
nil
cons
cons
2335
remove
subst
appThm
4071
ref
refl
appThm
sym
nil
269
ref
334
ref
76
ref
1821
ref
3271
ref
3512
ref
appTerm
absTerm
4074
def
430
ref
appTerm
4075
def
appTerm
4071
ref
appTerm
4076
def
absTerm
4077
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
334
ref
nil
106
ref
4076
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
4075
ref
nil
cons
4078
def
cons
4073
ref
cons
nil
cons
cons
4079
def
93
ref
subst
4079
remove
156
ref
subst
4075
ref
betaConv
4075
remove
assume
eqMp
nil
74
ref
3271
remove
3091
ref
430
ref
appTerm
4080
def
appTerm
4081
def
nil
cons
4082
def
cons
4073
remove
cons
nil
cons
cons
4083
def
144
ref
subst
proveHyp
4083
ref
93
ref
subst
4083
remove
156
ref
subst
31
ref
"_28454"
198
ref
var
4084
def
76
ref
1777
ref
4084
remove
varTerm
4085
def
appTerm
3512
ref
appTerm
appTerm
975
ref
2728
ref
317
ref
3164
ref
3987
ref
4085
ref
appTerm
3530
ref
976
ref
4085
remove
appTerm
appTerm
appTerm
appTerm
2729
ref
appTerm
appTerm
3512
ref
appTerm
absTerm
appTerm
appTerm
absTerm
4086
def
3167
remove
appTerm
4087
def
appTerm
refl
4086
ref
4080
ref
appTerm
betaConv
appThm
123
ref
4087
remove
betaConv
appThm
76
ref
1777
ref
4080
ref
appTerm
3512
ref
appTerm
appTerm
975
ref
2728
ref
317
ref
3164
ref
3987
ref
4080
ref
appTerm
3530
ref
976
ref
4080
ref
appTerm
4088
def
appTerm
4089
def
appTerm
appTerm
2729
ref
appTerm
appTerm
4090
def
3512
ref
appTerm
absTerm
appTerm
4091
def
appTerm
refl
appThm
trans
4086
remove
refl
4081
remove
assume
appThm
eqMp
sym
346
ref
nil
1761
ref
1832
ref
cons
432
remove
3510
remove
cons
4092
def
cons
nil
cons
cons
1761
ref
31
ref
1777
remove
451
ref
appTerm
1766
remove
appTerm
appTerm
2603
remove
appTerm
absTerm
4093
def
1763
remove
appTerm
4094
def
betaConv
270
ref
332
ref
4093
ref
appTerm
4095
def
absTerm
4096
def
271
ref
appTerm
4097
def
betaConv
320
ref
332
ref
4096
ref
appTerm
4098
def
absTerm
4099
def
325
ref
appTerm
4100
def
betaConv
nil
332
ref
4099
ref
appTerm
4101
def
axiom
nil
74
ref
4101
remove
nil
cons
cons
75
ref
4100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4099
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
4098
remove
nil
cons
cons
75
ref
4097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4096
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
4095
remove
nil
cons
cons
75
ref
4094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4093
remove
nil
cons
cons
2055
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
appThm
4091
ref
refl
4102
def
appThm
sym
346
ref
nil
1833
remove
320
ref
431
remove
cons
4103
def
nil
cons
4104
def
cons
nil
cons
cons
4105
def
3270
remove
subst
appThm
4102
remove
appThm
sym
nil
74
ref
971
remove
288
ref
430
ref
appTerm
1822
ref
appTerm
4106
def
appTerm
317
ref
430
ref
appTerm
1822
ref
appTerm
4107
def
appTerm
nil
cons
4108
def
cons
75
ref
4091
ref
nil
cons
4109
def
cons
nil
cons
4110
def
cons
nil
cons
cons
4111
def
93
ref
subst
4111
remove
156
ref
subst
nil
74
ref
4107
ref
nil
cons
4112
def
cons
4110
ref
cons
nil
cons
cons
4113
def
93
ref
subst
4113
remove
156
ref
subst
31
ref
"_28470"
198
ref
var
4114
def
975
ref
2728
ref
317
ref
3164
ref
3987
ref
3091
ref
4114
remove
varTerm
appTerm
4115
def
appTerm
3530
ref
976
ref
4115
remove
appTerm
appTerm
appTerm
appTerm
2729
ref
appTerm
appTerm
3512
ref
appTerm
absTerm
appTerm
absTerm
4116
def
430
ref
appTerm
4117
def
appTerm
refl
4116
ref
1822
ref
appTerm
betaConv
appThm
123
ref
4117
remove
betaConv
appThm
975
ref
2728
ref
317
ref
3164
ref
3987
remove
3512
ref
appTerm
3530
ref
976
ref
3512
ref
appTerm
appTerm
4118
def
appTerm
appTerm
2729
ref
appTerm
appTerm
3512
ref
appTerm
absTerm
4119
def
appTerm
refl
appThm
trans
4116
remove
refl
4107
remove
assume
appThm
eqMp
sym
4119
ref
318
ref
appTerm
betaConv
sym
nil
"t"
3159
ref
var
4120
def
4118
remove
nil
cons
cons
"h"
198
ref
var
4121
def
4042
remove
cons
nil
cons
cons
nil
cons
cons
275
ref
1478
remove
subst
4122
def
subst
eqMp
274
ref
269
ref
4119
remove
nil
cons
cons
1030
ref
cons
nil
cons
cons
778
ref
subst
proveHyp
eqMp
eqMp
nil
119
ref
4112
ref
cons
121
ref
4109
ref
cons
nil
cons
4123
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
4106
ref
nil
cons
4124
def
cons
4110
ref
cons
nil
cons
cons
4125
def
93
ref
subst
4125
remove
156
ref
subst
4105
remove
1830
remove
subst
4106
remove
assume
eqMp
nil
74
ref
975
ref
2562
ref
2563
ref
449
ref
430
remove
appTerm
4126
def
976
ref
2565
ref
appTerm
appTerm
appTerm
absTerm
4127
def
appTerm
4128
def
nil
cons
cons
4110
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
269
ref
"y"
198
ref
var
4129
def
76
ref
4127
ref
4129
ref
varTerm
4130
def
appTerm
4131
def
appTerm
4091
ref
appTerm
4132
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
4129
remove
nil
106
ref
4132
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
4131
ref
nil
cons
4133
def
cons
4110
ref
cons
nil
cons
cons
4134
def
93
ref
subst
4134
remove
156
ref
subst
4131
ref
betaConv
4131
remove
assume
eqMp
nil
74
ref
2563
ref
4126
ref
976
ref
4130
ref
appTerm
4135
def
appTerm
4136
def
appTerm
4137
def
nil
cons
4138
def
cons
4110
remove
cons
nil
cons
cons
4139
def
144
ref
subst
proveHyp
4139
ref
93
ref
subst
4139
remove
156
ref
subst
31
ref
"_28462"
198
ref
var
4140
def
975
ref
2728
ref
4090
ref
3091
ref
4140
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4141
def
1822
ref
appTerm
4142
def
appTerm
refl
4141
ref
4136
ref
appTerm
betaConv
appThm
123
ref
4142
remove
betaConv
appThm
975
ref
2728
ref
4090
remove
3091
ref
4136
ref
appTerm
4143
def
appTerm
absTerm
4144
def
appTerm
4145
def
refl
appThm
trans
4141
remove
refl
4137
remove
assume
4146
def
appThm
eqMp
sym
2562
ref
76
ref
3962
ref
4136
ref
appTerm
appTerm
332
ref
"k'"
198
ref
var
4147
def
76
ref
317
ref
4143
ref
appTerm
4148
def
449
ref
4147
ref
varTerm
4149
def
appTerm
4150
def
2565
ref
appTerm
4151
def
appTerm
appTerm
975
ref
2728
ref
317
ref
3164
ref
3530
remove
4149
remove
appTerm
appTerm
2729
ref
appTerm
appTerm
4152
def
4143
ref
appTerm
absTerm
appTerm
4153
def
appTerm
absTerm
appTerm
appTerm
absTerm
4154
def
4130
ref
appTerm
4155
def
betaConv
31
ref
"_28468"
198
ref
var
4156
def
332
ref
2562
ref
76
ref
3962
remove
4156
remove
varTerm
4157
def
appTerm
appTerm
332
ref
4147
ref
76
ref
317
ref
3091
remove
4157
remove
appTerm
4158
def
appTerm
4151
ref
appTerm
appTerm
975
ref
2728
ref
4152
ref
4158
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4159
def
1822
ref
appTerm
4160
def
appTerm
refl
4159
ref
4136
ref
appTerm
betaConv
appThm
123
ref
4160
remove
betaConv
appThm
332
ref
4154
ref
appTerm
4161
def
refl
appThm
trans
4159
remove
refl
4146
remove
appThm
eqMp
31
ref
"_28439"
198
ref
var
4162
def
332
ref
2562
ref
3963
ref
332
ref
2498
ref
76
ref
317
ref
4162
remove
varTerm
4163
def
appTerm
3849
remove
appTerm
appTerm
975
ref
2728
ref
3531
remove
4163
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4164
def
271
ref
appTerm
4165
def
appTerm
refl
4164
ref
3512
ref
appTerm
betaConv
appThm
123
ref
4165
remove
betaConv
appThm
332
ref
2562
ref
3963
remove
332
ref
4147
ref
76
ref
317
ref
3512
ref
appTerm
4151
remove
appTerm
appTerm
975
ref
2728
ref
4152
remove
3512
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
4164
remove
refl
3976
remove
appThm
eqMp
3964
remove
assume
eqMp
eqMp
nil
74
ref
4161
remove
nil
cons
cons
75
ref
4155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4154
remove
nil
cons
cons
334
ref
4130
ref
nil
cons
4166
def
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
288
remove
4130
ref
appTerm
4167
def
4136
remove
appTerm
4168
def
appTerm
332
ref
4147
remove
76
ref
4148
ref
4150
remove
4130
ref
appTerm
appTerm
appTerm
4153
remove
appTerm
absTerm
4169
def
appTerm
4170
def
appTerm
4171
def
nil
cons
cons
75
ref
4145
ref
nil
cons
4172
def
cons
nil
cons
4173
def
cons
nil
cons
cons
144
ref
subst
proveHyp
4167
remove
refl
nil
270
ref
4166
ref
cons
4174
def
4104
remove
cons
nil
cons
cons
1393
ref
subst
appThm
nil
270
ref
4126
remove
4130
ref
appTerm
nil
cons
cons
320
ref
4166
remove
cons
nil
cons
cons
nil
cons
cons
270
ref
31
remove
326
ref
977
remove
appTerm
appTerm
1779
remove
appTerm
absTerm
4175
def
271
ref
appTerm
4176
def
betaConv
320
ref
332
ref
4175
ref
appTerm
4177
def
absTerm
4178
def
325
ref
appTerm
4179
def
betaConv
nil
332
ref
4178
ref
appTerm
4180
def
axiom
nil
74
ref
4180
remove
nil
cons
cons
75
ref
4179
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4178
remove
nil
cons
cons
336
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
4177
remove
nil
cons
cons
75
ref
4176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4175
remove
nil
cons
cons
434
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
nil
4103
remove
4174
ref
nil
cons
cons
nil
cons
cons
nil
106
ref
1781
remove
451
remove
appTerm
4181
def
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
270
ref
4181
remove
absTerm
4182
def
271
ref
appTerm
4183
def
betaConv
320
ref
332
ref
4182
ref
appTerm
4184
def
absTerm
4185
def
325
ref
appTerm
4186
def
betaConv
nil
332
ref
4185
ref
appTerm
4187
def
axiom
nil
74
ref
4187
remove
nil
cons
cons
75
ref
4186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4185
remove
nil
cons
cons
336
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
4184
remove
nil
cons
cons
75
ref
4183
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4182
remove
nil
cons
cons
434
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
subst
trans
trans
sym
112
ref
eqMp
nil
74
ref
4168
ref
nil
cons
cons
4188
def
75
ref
76
ref
4170
ref
appTerm
4145
ref
appTerm
4189
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
74
ref
4170
remove
nil
cons
4190
def
cons
4191
def
4173
ref
cons
nil
cons
cons
4192
def
93
ref
subst
4192
remove
156
ref
subst
4169
ref
4088
ref
appTerm
4193
def
betaConv
nil
4191
remove
75
ref
4193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
269
ref
4169
remove
nil
cons
cons
334
ref
4088
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
76
ref
4148
remove
449
ref
4088
remove
appTerm
4130
ref
appTerm
appTerm
4194
def
appTerm
975
ref
2728
ref
317
ref
3164
remove
4089
ref
appTerm
2729
ref
appTerm
appTerm
4143
remove
appTerm
4195
def
absTerm
4196
def
appTerm
4197
def
appTerm
4198
def
nil
cons
cons
4173
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
1539
ref
nil
1761
remove
4135
remove
nil
cons
cons
4092
remove
cons
nil
cons
cons
2593
remove
subst
nil
4174
remove
320
ref
4080
ref
nil
cons
4199
def
cons
nil
cons
cons
nil
cons
cons
4200
def
1393
remove
subst
trans
appThm
4200
remove
1741
remove
subst
appThm
nil
334
remove
976
remove
449
remove
4080
remove
appTerm
4130
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1549
remove
subst
trans
sym
112
remove
eqMp
nil
74
ref
4194
ref
nil
cons
cons
4201
def
75
ref
76
ref
4197
ref
appTerm
4145
ref
appTerm
4202
def
nil
cons
cons
nil
cons
4203
def
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
2728
ref
76
ref
4196
ref
2729
ref
appTerm
4204
def
appTerm
4145
ref
appTerm
4205
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
4205
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
4204
ref
nil
cons
4206
def
cons
4173
ref
cons
nil
cons
cons
4207
def
93
ref
subst
4207
remove
156
ref
subst
4204
ref
betaConv
4204
remove
assume
eqMp
nil
74
ref
4195
ref
nil
cons
4208
def
cons
4173
remove
cons
nil
cons
cons
4209
def
144
ref
subst
proveHyp
4209
ref
93
ref
subst
4209
remove
156
ref
subst
4144
ref
2783
ref
appTerm
betaConv
sym
nil
2819
ref
4120
ref
4089
remove
nil
cons
cons
4121
ref
4199
remove
cons
nil
cons
cons
cons
nil
cons
cons
275
remove
2174
remove
subst
4210
def
subst
4195
remove
assume
trans
eqMp
274
ref
269
ref
4144
remove
nil
cons
cons
2985
remove
cons
nil
cons
cons
778
ref
subst
proveHyp
eqMp
nil
119
ref
4208
remove
cons
121
ref
4172
ref
cons
nil
cons
4211
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
4206
remove
cons
4211
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
"x'"
198
ref
var
4212
def
76
ref
4196
ref
4212
ref
varTerm
4213
def
appTerm
appTerm
4145
ref
appTerm
absTerm
appTerm
nil
cons
cons
4203
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4196
remove
nil
cons
cons
4211
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
nil
74
ref
82
ref
4194
remove
appTerm
4202
remove
appTerm
nil
cons
cons
75
ref
76
ref
4198
remove
appTerm
4145
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
1248
remove
4172
remove
cons
4214
def
75
ref
4197
remove
nil
cons
cons
4201
remove
nil
cons
cons
cons
nil
cons
cons
nil
74
ref
83
remove
1255
ref
appTerm
nil
cons
4215
def
cons
75
ref
933
remove
1249
ref
appTerm
nil
cons
4216
def
cons
nil
cons
cons
nil
cons
cons
4217
def
93
ref
subst
4217
remove
156
ref
subst
nil
356
remove
75
ref
1249
remove
nil
cons
4218
def
cons
nil
cons
4219
def
cons
nil
cons
cons
4220
def
93
ref
subst
4220
remove
156
ref
subst
nil
120
remove
121
ref
1255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4221
def
135
ref
subst
144
ref
proveHyp
137
remove
eqMp
nil
350
remove
4219
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
4221
remove
365
ref
subst
eqMp
eqMp
nil
362
remove
121
ref
4218
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
119
ref
4215
remove
cons
121
ref
4216
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
4222
def
subst
eqMp
eqMp
eqMp
nil
119
ref
4190
ref
cons
4211
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
nil
74
ref
82
ref
4168
remove
appTerm
4189
remove
appTerm
nil
cons
cons
75
ref
76
ref
4171
remove
appTerm
4145
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
nil
4214
remove
75
ref
4190
remove
cons
4188
remove
nil
cons
cons
cons
nil
cons
cons
4222
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
4138
remove
cons
4123
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
4133
remove
cons
4123
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
4212
remove
76
ref
4127
ref
4213
remove
appTerm
appTerm
4091
ref
appTerm
absTerm
appTerm
nil
cons
cons
75
ref
76
ref
4128
remove
appTerm
4091
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4127
remove
nil
cons
cons
4123
ref
cons
nil
cons
cons
799
ref
subst
eqMp
eqMp
eqMp
nil
119
ref
4124
remove
cons
4223
def
4123
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
4223
remove
121
ref
4112
remove
cons
1243
remove
4109
remove
cons
nil
cons
cons
cons
nil
cons
cons
1259
remove
subst
proveHyp
proveHyp
eqMp
nil
119
ref
4108
remove
cons
4123
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
4082
remove
cons
121
ref
4072
remove
cons
nil
cons
4224
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
119
ref
4078
remove
cons
4224
ref
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
4077
remove
appTerm
nil
cons
cons
75
ref
76
ref
975
remove
4074
ref
appTerm
appTerm
4071
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4074
remove
nil
cons
cons
4224
remove
cons
nil
cons
cons
799
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
119
ref
4061
remove
cons
121
ref
4062
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
4058
remove
appTerm
nil
cons
cons
75
ref
4059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
4060
remove
3488
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3970
remove
cons
121
ref
3971
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
3965
remove
cons
121
ref
3966
ref
cons
4225
def
nil
cons
4226
def
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
3542
remove
appTerm
nil
cons
cons
3967
ref
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
123
ref
429
ref
"_28432"
198
ref
var
4227
def
346
ref
4227
ref
332
ref
320
ref
76
ref
326
ref
4227
ref
varTerm
4228
def
appTerm
appTerm
4229
def
3540
remove
appTerm
absTerm
appTerm
4230
def
absTerm
4231
def
4228
ref
appTerm
betaConv
appThm
4232
def
429
ref
1821
ref
4227
ref
1821
ref
76
ref
317
ref
4228
ref
appTerm
1822
ref
appTerm
appTerm
3538
remove
appTerm
4233
def
absTerm
4234
def
absTerm
4235
def
4228
ref
appTerm
betaConv
3547
ref
appThm
4234
ref
1822
ref
appTerm
betaConv
trans
4236
def
absThm
appThm
appThm
absThm
appThm
appThm
429
ref
1821
ref
429
ref
4227
ref
4232
ref
4236
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
269
ref
4231
ref
nil
cons
cons
4237
def
3549
remove
4235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3848
remove
subst
eqMp
429
ref
1821
remove
123
ref
429
ref
4227
ref
4232
remove
4233
remove
refl
appThm
absThm
appThm
appThm
346
ref
4231
remove
1822
ref
appTerm
betaConv
appThm
3961
ref
appThm
appThm
nil
4237
remove
4225
remove
3851
remove
1832
remove
cons
nil
cons
cons
cons
nil
cons
cons
3960
remove
subst
eqMp
absThm
appThm
trans
appThm
3961
remove
appThm
nil
74
ref
332
ref
4227
ref
76
ref
4230
remove
appTerm
332
ref
4234
remove
appTerm
4238
def
appTerm
absTerm
appTerm
nil
cons
4239
def
cons
4240
def
3967
ref
cons
nil
cons
cons
4241
def
93
ref
subst
4241
remove
156
ref
subst
3547
remove
nil
74
ref
2563
ref
1822
ref
appTerm
nil
cons
cons
3967
remove
cons
nil
cons
cons
144
ref
subst
proveHyp
2562
remove
76
ref
2563
remove
2565
remove
appTerm
appTerm
3850
remove
appTerm
absTerm
4242
def
1822
ref
appTerm
4243
def
betaConv
4227
ref
4238
remove
absTerm
4244
def
1822
remove
appTerm
4245
def
betaConv
nil
4240
remove
75
ref
332
ref
4244
ref
appTerm
nil
cons
4246
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
346
ref
429
ref
4227
ref
346
ref
429
ref
320
ref
4229
remove
refl
4244
ref
325
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
4244
ref
4228
remove
appTerm
betaConv
4247
def
appThm
absThm
appThm
appThm
429
ref
4227
remove
4247
remove
absThm
appThm
appThm
nil
1421
ref
4244
remove
nil
cons
4248
def
cons
nil
cons
nil
cons
cons
1421
ref
76
ref
332
ref
270
ref
76
ref
332
ref
320
ref
76
ref
1819
remove
appTerm
3405
remove
appTerm
absTerm
appTerm
appTerm
1423
ref
appTerm
absTerm
appTerm
appTerm
1426
remove
appTerm
absTerm
4249
def
1422
ref
appTerm
4250
def
betaConv
nil
1429
ref
4249
ref
appTerm
4251
def
axiom
nil
74
ref
4251
remove
nil
cons
cons
75
ref
4250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
1431
remove
1432
remove
4249
remove
nil
cons
cons
1433
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
74
ref
4246
remove
cons
75
ref
4245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4248
remove
cons
2367
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
74
ref
332
ref
4242
ref
appTerm
nil
cons
cons
75
ref
4243
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4242
remove
nil
cons
cons
2367
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
4239
remove
cons
4226
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
74
ref
3966
remove
cons
75
ref
3536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3969
remove
3440
remove
nil
cons
4252
def
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
3507
remove
appTerm
nil
cons
cons
75
ref
3508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
3509
remove
1030
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
119
ref
3494
ref
cons
121
ref
3495
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
nil
74
ref
1424
remove
3491
ref
appTerm
nil
cons
cons
75
ref
76
ref
3491
remove
appTerm
1423
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
123
remove
346
ref
1831
remove
2728
ref
3490
ref
2729
ref
appTerm
betaConv
4253
def
absThm
appThm
appThm
1423
ref
refl
4254
def
appThm
appThm
429
ref
2728
ref
346
ref
4253
remove
appThm
4254
ref
appThm
absThm
appThm
appThm
nil
1421
ref
3490
remove
nil
cons
cons
75
ref
3494
ref
cons
nil
cons
4255
def
cons
nil
cons
cons
3523
remove
subst
eqMp
sym
nil
269
ref
2728
ref
76
ref
3489
remove
appTerm
1423
ref
appTerm
4256
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
4256
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
2498
ref
76
ref
3504
remove
appTerm
1423
ref
appTerm
absTerm
4257
def
318
ref
appTerm
4258
def
betaConv
2728
ref
332
ref
4257
ref
appTerm
4259
def
absTerm
4260
def
2729
remove
appTerm
4261
def
betaConv
4262
def
nil
269
ref
2498
ref
76
ref
317
ref
3503
ref
318
ref
appTerm
appTerm
271
ref
appTerm
appTerm
1423
ref
appTerm
4263
def
absTerm
4264
def
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2498
ref
nil
106
ref
4263
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
346
ref
1539
ref
3414
ref
nil
3977
remove
3417
remove
cons
nil
cons
cons
3978
remove
subst
appThm
4265
def
1458
ref
appThm
appThm
407
ref
appThm
appThm
4254
ref
appThm
sym
346
ref
1539
ref
3414
remove
3984
remove
"f"
3980
remove
var
4266
def
429
ref
3446
remove
429
ref
3986
remove
3996
remove
4266
remove
varTerm
3993
remove
appTerm
appTerm
refl
3989
remove
refl
3526
remove
3990
remove
refl
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
3442
remove
3443
remove
trans
appThm
4032
remove
trans
appThm
4267
def
1458
remove
appThm
nil
4120
remove
4049
remove
nil
cons
cons
4121
remove
3447
remove
cons
nil
cons
cons
4268
def
nil
cons
cons
4122
remove
subst
trans
appThm
407
ref
appThm
appThm
4254
ref
appThm
sym
nil
74
ref
317
ref
3433
ref
appTerm
271
ref
appTerm
4269
def
nil
cons
4270
def
cons
4255
remove
cons
nil
cons
cons
4271
def
93
ref
subst
4271
remove
156
ref
subst
4037
remove
"_28491"
198
remove
var
4272
def
1422
ref
4272
remove
varTerm
appTerm
absTerm
3433
remove
appTerm
betaConv
appThm
4038
remove
4047
remove
refl
appThm
trans
4039
remove
4269
remove
assume
sym
appThm
eqMp
sym
4046
remove
3157
remove
2499
ref
appTerm
4273
def
betaConv
nil
3176
remove
75
ref
4273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
274
ref
3463
remove
4252
ref
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
eqMp
nil
74
ref
82
ref
82
ref
3430
remove
3403
remove
270
remove
82
ref
3502
remove
appTerm
1423
ref
appTerm
absTerm
appTerm
4274
def
appTerm
4275
def
appTerm
1422
remove
4274
ref
appTerm
4276
def
appTerm
4277
def
appTerm
332
ref
320
remove
76
ref
326
remove
4274
remove
appTerm
appTerm
4048
remove
appTerm
absTerm
appTerm
4278
def
appTerm
nil
cons
4279
def
cons
75
ref
4276
remove
nil
cons
4280
def
cons
nil
cons
cons
nil
cons
cons
4281
def
144
ref
subst
proveHyp
4281
ref
93
ref
subst
4281
remove
156
ref
subst
nil
119
ref
4277
remove
nil
cons
cons
121
ref
4278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
119
ref
4275
remove
nil
cons
cons
121
ref
4280
remove
cons
nil
cons
4282
def
cons
nil
cons
cons
365
remove
subst
proveHyp
eqMp
nil
119
ref
4279
remove
cons
4282
remove
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
119
ref
4270
remove
cons
121
ref
3494
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
74
ref
332
ref
4264
remove
appTerm
4283
def
nil
cons
cons
75
ref
332
ref
2728
ref
76
ref
4259
ref
appTerm
332
ref
2498
ref
76
ref
317
remove
3503
remove
2783
ref
appTerm
appTerm
271
remove
appTerm
appTerm
1423
ref
appTerm
4284
def
absTerm
4285
def
appTerm
4286
def
appTerm
4287
def
absTerm
4288
def
appTerm
4289
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
156
ref
subst
proveHyp
nil
269
ref
4288
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
ref
subst
2728
ref
nil
106
ref
4287
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
ref
subst
nil
74
ref
4259
ref
nil
cons
4290
def
cons
4291
def
75
ref
4286
remove
nil
cons
4292
def
cons
nil
cons
cons
nil
cons
cons
4293
def
93
remove
subst
4293
remove
156
remove
subst
nil
269
ref
4285
remove
nil
cons
cons
nil
cons
nil
cons
cons
276
remove
subst
2498
ref
nil
106
remove
4284
remove
nil
cons
cons
nil
cons
nil
cons
cons
113
remove
subst
346
ref
1539
ref
4265
remove
2818
ref
appThm
appThm
407
ref
appThm
appThm
4254
ref
appThm
sym
346
ref
1539
remove
4267
remove
2818
remove
appThm
nil
2819
remove
4268
remove
cons
nil
cons
cons
4210
remove
subst
trans
appThm
407
remove
appThm
appThm
4254
ref
appThm
sym
nil
2498
ref
3445
remove
cons
nil
cons
nil
cons
cons
2498
ref
76
remove
3532
remove
appTerm
1423
remove
appTerm
absTerm
4294
def
2499
remove
appTerm
4295
def
betaConv
429
ref
2498
remove
346
ref
3528
remove
appThm
4254
remove
appThm
absThm
appThm
4259
remove
assume
eqMp
nil
74
ref
332
ref
4294
ref
appTerm
nil
cons
cons
75
ref
4295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4294
remove
nil
cons
cons
4252
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
119
ref
4290
remove
cons
121
ref
4292
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
74
ref
82
remove
4283
remove
appTerm
4289
remove
appTerm
nil
cons
cons
75
ref
332
remove
4260
ref
appTerm
nil
cons
4296
def
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
346
ref
1158
remove
4260
ref
318
remove
appTerm
betaConv
appThm
429
ref
2728
ref
346
remove
4262
ref
appThm
4260
ref
2783
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
429
remove
2728
remove
4262
remove
absThm
appThm
appThm
nil
1421
remove
4260
remove
nil
cons
4297
def
cons
nil
cons
nil
cons
cons
1434
remove
subst
eqMp
eqMp
nil
74
remove
4296
remove
cons
75
ref
4261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
ref
subst
proveHyp
274
ref
269
ref
4297
remove
cons
2888
remove
cons
nil
cons
cons
167
ref
subst
eqMp
eqMp
nil
4291
remove
75
remove
4258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
144
remove
subst
proveHyp
274
remove
269
remove
4257
remove
nil
cons
cons
1030
remove
cons
nil
cons
cons
167
remove
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
3995
remove
"P"
3160
remove
var
3393
remove
nil
cons
cons
"x"
3159
remove
var
3410
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
778
remove
subst
proveHyp
eqMp
eqMp
nil
119
remove
3175
remove
cons
121
remove
3177
remove
cons
nil
cons
cons
nil
cons
cons
135
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
1429
remove
3174
remove
appTerm
thm