6
version
nil
"f"
"->"
typeOp
0
def
"Probability.Random.random"
typeOp
nil
opType
1
def
"Data.Char.char"
typeOp
nil
opType
2
def
nil
cons
3
def
cons
opType
4
def
var
"Data.Char.random"
const
4
ref
constTerm
5
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1
ref
nil
cons
cons
6
def
"B"
3
ref
cons
nil
cons
7
def
cons
nil
nil
cons
8
def
cons
"f"
0
ref
"A"
varType
9
def
"B"
varType
10
def
nil
cons
11
def
cons
12
def
opType
13
def
var
14
def
"="
const
15
def
0
ref
"bool"
typeOp
nil
opType
16
def
0
ref
16
ref
16
ref
nil
cons
17
def
cons
opType
18
def
nil
cons
cons
opType
19
def
constTerm
20
def
"Function.surjective"
const
21
def
0
ref
13
ref
17
ref
cons
opType
22
def
constTerm
14
ref
varTerm
23
def
appTerm
appTerm
"Data.Bool.!"
const
24
def
0
ref
0
ref
10
ref
17
ref
cons
opType
25
def
17
ref
cons
opType
26
def
constTerm
27
def
"y"
10
ref
var
28
def
"Data.Bool.?"
const
29
def
0
ref
0
ref
9
ref
17
ref
cons
opType
30
def
17
ref
cons
opType
31
def
constTerm
32
def
"x"
9
ref
var
33
def
15
ref
0
ref
10
ref
25
ref
nil
cons
cons
opType
constTerm
34
def
28
ref
varTerm
35
def
appTerm
23
ref
33
ref
varTerm
36
def
appTerm
37
def
appTerm
38
def
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
39
def
23
ref
appTerm
40
def
betaConv
nil
24
ref
0
ref
22
ref
17
ref
cons
opType
constTerm
41
def
39
ref
appTerm
42
def
axiom
nil
"p"
16
ref
var
43
def
42
remove
nil
cons
cons
"q"
16
ref
var
44
def
40
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
20
ref
"Data.Bool.==>"
const
19
ref
constTerm
45
def
43
ref
varTerm
46
def
appTerm
47
def
44
ref
varTerm
48
def
appTerm
49
def
appTerm
50
def
refl
43
ref
44
ref
20
ref
"Data.Bool./\\"
const
19
ref
constTerm
51
def
46
ref
appTerm
52
def
48
ref
appTerm
53
def
appTerm
54
def
46
ref
appTerm
absTerm
55
def
absTerm
56
def
46
ref
appTerm
betaConv
48
ref
refl
57
def
appThm
55
remove
48
ref
appTerm
betaConv
trans
appThm
nil
15
ref
0
ref
19
ref
0
ref
19
ref
17
ref
cons
opType
58
def
nil
cons
cons
opType
constTerm
59
def
45
ref
appTerm
56
remove
appTerm
axiom
46
ref
refl
60
def
appThm
57
ref
appThm
eqMp
61
def
sym
62
def
54
remove
refl
44
ref
15
ref
0
ref
58
ref
0
ref
58
remove
17
ref
cons
opType
nil
cons
cons
opType
constTerm
63
def
"f"
19
ref
var
64
def
64
ref
varTerm
65
def
46
ref
appTerm
48
ref
appTerm
absTerm
66
def
appTerm
64
ref
65
ref
"Data.Bool.T"
const
16
ref
constTerm
67
def
appTerm
67
ref
appTerm
absTerm
68
def
appTerm
absTerm
69
def
48
ref
appTerm
betaConv
appThm
15
ref
0
ref
18
ref
0
ref
18
ref
17
ref
cons
opType
70
def
nil
cons
cons
opType
constTerm
71
def
52
ref
appTerm
refl
43
ref
69
remove
absTerm
72
def
46
ref
appTerm
betaConv
appThm
nil
59
ref
51
ref
appTerm
72
ref
appTerm
axiom
73
def
60
remove
appThm
eqMp
57
ref
appThm
eqMp
74
def
sym
64
ref
65
ref
refl
nil
"t"
16
ref
var
75
def
46
ref
nil
cons
76
def
cons
nil
cons
nil
cons
cons
77
def
20
ref
75
ref
varTerm
78
def
appTerm
79
def
67
ref
appTerm
80
def
assume
sym
nil
67
ref
axiom
81
def
eqMp
78
ref
assume
81
ref
deductAntisym
deductAntisym
82
def
subst
46
ref
assume
83
def
eqMp
appThm
nil
75
ref
48
ref
nil
cons
84
def
cons
nil
cons
nil
cons
cons
85
def
82
ref
subst
48
ref
assume
86
def
eqMp
appThm
absThm
eqMp
87
def
nil
"P"
16
ref
var
88
def
76
ref
cons
89
def
"Q"
16
ref
var
90
def
84
ref
cons
nil
cons
91
def
cons
nil
cons
cons
20
ref
refl
92
def
64
ref
65
remove
88
ref
varTerm
93
def
appTerm
94
def
90
ref
varTerm
95
def
appTerm
absTerm
96
def
43
ref
44
ref
46
ref
absTerm
absTerm
97
def
appTerm
betaConv
97
ref
93
ref
appTerm
betaConv
95
ref
refl
98
def
appThm
44
ref
93
ref
absTerm
95
ref
appTerm
betaConv
trans
trans
appThm
68
ref
97
ref
appTerm
betaConv
97
ref
67
ref
appTerm
betaConv
67
ref
refl
99
def
appThm
44
ref
67
ref
absTerm
67
ref
appTerm
betaConv
trans
trans
appThm
20
ref
51
ref
93
ref
appTerm
100
def
95
ref
appTerm
101
def
appTerm
refl
44
ref
63
remove
64
remove
94
remove
48
ref
appTerm
absTerm
appTerm
68
ref
appTerm
absTerm
95
ref
appTerm
betaConv
appThm
71
ref
100
remove
appTerm
refl
72
remove
93
ref
appTerm
betaConv
appThm
73
remove
93
ref
refl
102
def
appThm
eqMp
98
ref
appThm
eqMp
101
remove
assume
eqMp
103
def
97
remove
refl
appThm
eqMp
sym
81
ref
eqMp
104
def
subst
105
def
deductAntisym
eqMp
61
remove
49
ref
assume
106
def
eqMp
sym
83
ref
eqMp
92
ref
66
remove
43
ref
44
ref
48
ref
absTerm
107
def
absTerm
108
def
appTerm
betaConv
108
ref
46
ref
appTerm
betaConv
57
ref
appThm
107
ref
48
ref
appTerm
betaConv
trans
trans
appThm
68
remove
108
ref
appTerm
betaConv
108
ref
67
ref
appTerm
betaConv
99
remove
appThm
107
ref
67
ref
appTerm
betaConv
trans
trans
109
def
appThm
74
remove
53
ref
assume
eqMp
108
ref
refl
110
def
appThm
eqMp
sym
81
ref
eqMp
111
def
proveHyp
112
def
deductAntisym
113
def
subst
proveHyp
"A"
13
ref
nil
cons
cons
nil
cons
114
def
"P"
22
ref
var
115
def
39
remove
nil
cons
cons
"x"
13
ref
var
116
def
23
ref
nil
cons
cons
nil
cons
117
def
cons
nil
cons
cons
nil
43
ref
24
ref
31
ref
constTerm
118
def
"P"
30
ref
var
119
def
varTerm
120
def
appTerm
121
def
nil
cons
122
def
cons
44
ref
120
ref
36
ref
appTerm
123
def
nil
cons
124
def
cons
nil
cons
cons
nil
cons
cons
125
def
62
ref
subst
125
remove
111
remove
87
remove
deductAntisym
126
def
subst
20
ref
123
ref
appTerm
refl
33
ref
67
ref
absTerm
127
def
36
ref
appTerm
betaConv
appThm
"p"
30
ref
var
128
def
15
ref
0
ref
30
ref
31
ref
nil
cons
cons
opType
constTerm
128
ref
varTerm
129
def
appTerm
127
remove
appTerm
absTerm
130
def
120
ref
appTerm
betaConv
131
def
nil
15
ref
0
ref
31
ref
0
ref
31
ref
17
ref
cons
opType
132
def
nil
cons
cons
opType
constTerm
133
def
118
ref
appTerm
130
remove
appTerm
axiom
120
ref
refl
134
def
appThm
135
def
121
ref
assume
eqMp
eqMp
36
ref
refl
136
def
appThm
eqMp
sym
81
ref
eqMp
eqMp
nil
88
ref
122
remove
cons
90
ref
124
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
137
def
subst
eqMp
eqMp
subst
subst
sym
24
ref
0
ref
0
ref
2
ref
17
ref
cons
opType
138
def
17
ref
cons
opType
constTerm
139
def
refl
140
def
"y"
2
ref
var
141
def
29
ref
0
ref
0
ref
1
ref
17
ref
cons
opType
142
def
17
ref
cons
opType
143
def
constTerm
144
def
refl
145
def
"x"
1
ref
var
146
def
nil
141
ref
5
ref
146
ref
varTerm
147
def
appTerm
nil
cons
cons
"x"
2
ref
var
148
def
141
ref
varTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
3
ref
cons
149
def
nil
cons
150
def
8
ref
cons
151
def
"y"
9
ref
var
152
def
20
ref
15
ref
0
ref
9
ref
30
ref
nil
cons
153
def
cons
opType
constTerm
154
def
36
ref
appTerm
155
def
152
ref
varTerm
156
def
appTerm
157
def
appTerm
158
def
154
ref
156
ref
appTerm
159
def
36
ref
appTerm
160
def
appTerm
absTerm
161
def
156
ref
appTerm
162
def
betaConv
33
ref
118
ref
161
ref
appTerm
163
def
absTerm
164
def
36
ref
appTerm
165
def
betaConv
nil
118
ref
164
ref
appTerm
166
def
axiom
nil
43
ref
166
remove
nil
cons
cons
44
ref
165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
9
ref
nil
cons
167
def
cons
168
def
nil
cons
169
def
119
ref
164
remove
nil
cons
cons
33
ref
36
ref
nil
cons
170
def
cons
nil
cons
171
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
163
remove
nil
cons
cons
44
ref
162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
161
remove
nil
cons
cons
33
ref
156
ref
nil
cons
cons
nil
cons
172
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
173
def
subst
subst
absThm
appThm
absThm
appThm
sym
nil
"P"
138
ref
var
174
def
"c"
2
ref
var
175
def
144
ref
"r"
1
ref
var
176
def
15
ref
0
ref
2
ref
138
remove
nil
cons
cons
opType
constTerm
177
def
5
ref
176
ref
varTerm
178
def
appTerm
appTerm
179
def
175
ref
varTerm
180
def
appTerm
absTerm
appTerm
181
def
absTerm
182
def
nil
cons
cons
nil
cons
nil
cons
cons
151
ref
20
ref
121
remove
appTerm
refl
131
remove
appThm
135
remove
eqMp
sym
183
def
subst
184
def
subst
175
ref
nil
75
ref
181
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
145
ref
176
ref
177
ref
refl
185
def
176
ref
179
remove
"n0"
"Number.Natural.natural"
typeOp
nil
opType
186
def
var
187
def
"n1"
186
ref
var
188
def
"n2"
186
ref
var
189
def
"pl"
186
ref
var
190
def
"pos"
186
ref
var
191
def
"n"
186
ref
var
192
def
"Data.Char.mk"
const
0
ref
186
ref
3
ref
cons
opType
193
def
constTerm
194
def
192
ref
varTerm
195
def
appTerm
196
def
absTerm
197
def
"Number.Natural.+"
const
0
ref
186
ref
0
ref
186
ref
186
ref
nil
cons
198
def
cons
199
def
opType
200
def
nil
cons
cons
opType
201
def
constTerm
202
def
191
ref
varTerm
203
def
appTerm
204
def
"Number.Natural.Bits.shiftLeft"
const
201
ref
constTerm
205
def
190
ref
varTerm
206
def
appTerm
"Number.Natural.bit0"
const
200
ref
constTerm
207
def
207
ref
207
ref
207
ref
"Number.Natural.bit1"
const
200
ref
constTerm
208
def
"Number.Natural.zero"
const
186
ref
constTerm
209
def
appTerm
210
def
appTerm
211
def
appTerm
212
def
appTerm
213
def
appTerm
214
def
appTerm
215
def
appTerm
216
def
appTerm
absTerm
217
def
"Number.Natural.mod"
const
201
ref
constTerm
218
def
189
ref
varTerm
219
def
appTerm
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
210
ref
appTerm
220
def
appTerm
221
def
appTerm
222
def
appTerm
223
def
appTerm
224
def
appTerm
225
def
appTerm
226
def
appTerm
appTerm
appTerm
227
def
appTerm
228
def
appTerm
appTerm
229
def
appTerm
230
def
appTerm
231
def
appTerm
appTerm
absTerm
"Number.Natural.div"
const
201
ref
constTerm
232
def
219
ref
appTerm
231
ref
appTerm
appTerm
absTerm
233
def
"Data.Bool.cond"
const
234
def
0
ref
16
ref
201
ref
nil
cons
cons
opType
constTerm
235
def
"Number.Natural.<"
const
0
ref
186
ref
0
ref
186
ref
17
ref
cons
opType
236
def
nil
cons
237
def
cons
opType
238
def
constTerm
239
def
188
ref
varTerm
240
def
appTerm
207
ref
207
ref
207
ref
207
ref
208
ref
207
ref
208
ref
208
ref
208
ref
207
ref
224
remove
appTerm
appTerm
241
def
appTerm
appTerm
242
def
appTerm
appTerm
243
def
appTerm
appTerm
appTerm
appTerm
244
def
appTerm
appTerm
240
ref
appTerm
202
ref
240
ref
appTerm
245
def
207
ref
214
ref
appTerm
246
def
appTerm
appTerm
appTerm
absTerm
247
def
235
ref
239
ref
187
remove
varTerm
248
def
appTerm
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
208
ref
208
ref
207
ref
220
ref
appTerm
249
def
appTerm
250
def
appTerm
appTerm
appTerm
appTerm
251
def
appTerm
appTerm
appTerm
appTerm
252
def
appTerm
appTerm
appTerm
appTerm
253
def
appTerm
appTerm
248
ref
appTerm
202
ref
248
remove
appTerm
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
246
ref
appTerm
254
def
appTerm
255
def
appTerm
256
def
appTerm
257
def
appTerm
258
def
appTerm
259
def
appTerm
appTerm
appTerm
absTerm
"Number.Natural.Uniform.random"
const
0
ref
186
ref
0
ref
1
remove
198
ref
cons
opType
nil
cons
cons
opType
constTerm
260
def
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
207
ref
208
ref
208
ref
208
ref
208
ref
207
ref
208
ref
208
ref
208
ref
208
ref
214
ref
appTerm
appTerm
appTerm
261
def
appTerm
262
def
appTerm
appTerm
appTerm
appTerm
263
def
appTerm
appTerm
appTerm
appTerm
264
def
appTerm
appTerm
appTerm
appTerm
265
def
appTerm
178
ref
appTerm
266
def
appTerm
267
def
appTerm
absTerm
268
def
178
ref
appTerm
269
def
betaConv
nil
24
ref
143
remove
constTerm
270
def
268
ref
appTerm
271
def
axiom
nil
43
ref
271
remove
nil
cons
cons
44
ref
269
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
6
remove
nil
cons
272
def
"P"
142
remove
var
273
def
268
remove
nil
cons
cons
146
ref
178
ref
nil
cons
cons
nil
cons
274
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
267
remove
betaConv
247
remove
235
ref
239
ref
266
ref
appTerm
253
ref
appTerm
appTerm
266
ref
appTerm
202
ref
266
ref
appTerm
259
ref
appTerm
appTerm
275
def
appTerm
betaConv
233
remove
235
ref
239
ref
275
ref
appTerm
244
ref
appTerm
appTerm
275
ref
appTerm
202
ref
275
remove
appTerm
246
ref
appTerm
appTerm
276
def
appTerm
betaConv
190
ref
217
remove
218
ref
276
ref
appTerm
231
ref
appTerm
277
def
appTerm
absTerm
232
ref
276
remove
appTerm
231
ref
appTerm
278
def
appTerm
betaConv
191
ref
197
ref
204
ref
205
ref
278
remove
appTerm
214
ref
appTerm
279
def
appTerm
appTerm
absTerm
277
ref
appTerm
betaConv
197
remove
202
ref
277
remove
appTerm
279
remove
appTerm
280
def
appTerm
betaConv
trans
trans
trans
trans
trans
trans
appThm
180
ref
refl
appThm
absThm
appThm
sym
192
ref
51
ref
"Data.Char.invariant"
const
236
ref
constTerm
281
def
195
ref
appTerm
282
def
appTerm
283
def
177
ref
180
ref
appTerm
284
def
196
ref
appTerm
285
def
appTerm
286
def
absTerm
287
def
"Data.Char.dest"
const
0
ref
2
ref
198
ref
cons
opType
288
def
constTerm
289
def
180
ref
appTerm
290
def
appTerm
betaConv
sym
51
ref
refl
291
def
nil
"r"
186
ref
var
292
def
290
ref
nil
cons
293
def
cons
nil
cons
nil
cons
cons
292
ref
20
ref
281
ref
292
ref
varTerm
294
def
appTerm
appTerm
15
ref
238
ref
constTerm
295
def
289
ref
194
ref
294
ref
appTerm
appTerm
appTerm
294
ref
appTerm
appTerm
absTerm
296
def
294
ref
appTerm
297
def
betaConv
nil
24
ref
0
ref
236
ref
17
ref
cons
opType
298
def
constTerm
299
def
296
ref
appTerm
300
def
axiom
nil
43
ref
300
remove
nil
cons
cons
44
ref
297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
198
ref
cons
301
def
nil
cons
302
def
"P"
236
ref
var
303
def
296
remove
nil
cons
cons
"x"
186
ref
var
304
def
294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
305
def
subst
295
ref
refl
306
def
289
ref
refl
307
def
nil
"a"
2
ref
var
308
def
180
ref
nil
cons
309
def
cons
nil
cons
nil
cons
cons
308
ref
177
ref
194
ref
289
ref
308
ref
varTerm
310
def
appTerm
appTerm
311
def
appTerm
310
ref
appTerm
312
def
absTerm
313
def
310
ref
appTerm
314
def
betaConv
nil
139
ref
313
ref
appTerm
315
def
axiom
316
def
nil
43
ref
315
remove
nil
cons
cons
44
ref
314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
150
ref
174
ref
313
remove
nil
cons
cons
148
ref
310
ref
nil
cons
cons
nil
cons
317
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
318
def
appThm
appThm
290
ref
refl
appThm
nil
304
ref
293
ref
cons
nil
cons
319
def
nil
cons
cons
302
ref
8
ref
cons
320
def
nil
75
ref
155
ref
36
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
136
ref
eqMp
321
def
subst
322
def
subst
323
def
trans
trans
324
def
appThm
284
ref
refl
318
remove
appThm
nil
148
ref
309
ref
cons
nil
cons
325
def
nil
cons
cons
326
def
151
ref
321
ref
subst
327
def
subst
trans
328
def
appThm
nil
75
ref
67
ref
nil
cons
329
def
cons
nil
cons
nil
cons
cons
330
def
75
ref
20
ref
51
ref
67
ref
appTerm
331
def
78
ref
appTerm
appTerm
78
ref
appTerm
absTerm
332
def
78
ref
appTerm
333
def
betaConv
nil
24
ref
70
remove
constTerm
334
def
332
ref
appTerm
335
def
axiom
nil
43
ref
335
remove
nil
cons
cons
44
ref
333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
17
ref
cons
nil
cons
336
def
"P"
18
ref
var
337
def
332
remove
nil
cons
cons
"x"
16
ref
var
338
def
78
ref
nil
cons
339
def
cons
nil
cons
340
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
341
def
subst
342
def
trans
sym
81
ref
eqMp
eqMp
302
ref
303
ref
287
ref
nil
cons
cons
343
def
319
ref
cons
nil
cons
cons
20
ref
32
ref
120
ref
appTerm
344
def
appTerm
345
def
refl
128
ref
334
ref
44
ref
45
ref
118
ref
33
ref
45
ref
129
ref
36
ref
appTerm
346
def
appTerm
347
def
48
ref
appTerm
absTerm
appTerm
appTerm
48
ref
appTerm
absTerm
appTerm
absTerm
348
def
120
ref
appTerm
betaConv
appThm
nil
133
remove
32
ref
appTerm
348
remove
appTerm
axiom
134
remove
appThm
eqMp
349
def
sym
nil
337
ref
90
ref
45
ref
118
ref
33
ref
45
ref
123
ref
appTerm
350
def
95
ref
appTerm
351
def
absTerm
352
def
appTerm
353
def
appTerm
354
def
95
ref
appTerm
355
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
336
ref
8
ref
cons
356
def
183
ref
subst
357
def
subst
90
ref
nil
75
ref
355
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
353
ref
nil
cons
358
def
cons
359
def
44
ref
95
ref
nil
cons
360
def
cons
nil
cons
361
def
cons
nil
cons
cons
362
def
62
ref
subst
362
ref
126
ref
subst
nil
43
ref
124
ref
cons
361
ref
cons
nil
cons
cons
363
def
113
ref
subst
364
def
352
ref
36
ref
appTerm
365
def
betaConv
nil
359
ref
44
ref
365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
169
ref
119
ref
352
remove
nil
cons
cons
366
def
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
367
def
eqMp
eqMp
nil
88
ref
358
ref
cons
368
def
90
ref
360
ref
cons
nil
cons
369
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
370
def
subst
proveHyp
371
def
nil
43
ref
29
ref
298
ref
constTerm
372
def
287
ref
appTerm
373
def
nil
cons
374
def
cons
375
def
44
ref
144
ref
176
ref
177
ref
194
ref
280
remove
appTerm
appTerm
376
def
180
ref
appTerm
absTerm
appTerm
377
def
nil
cons
378
def
cons
nil
cons
379
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
192
ref
45
ref
287
ref
195
ref
appTerm
380
def
appTerm
377
ref
appTerm
381
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
320
ref
183
ref
subst
382
def
subst
192
ref
nil
75
ref
381
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
380
ref
nil
cons
383
def
cons
379
ref
cons
nil
cons
cons
384
def
62
ref
subst
384
remove
126
ref
subst
380
ref
betaConv
380
remove
assume
eqMp
nil
43
ref
286
remove
nil
cons
385
def
cons
379
remove
cons
nil
cons
cons
386
def
113
ref
subst
proveHyp
386
ref
62
ref
subst
386
remove
126
ref
subst
nil
88
ref
282
ref
nil
cons
387
def
cons
388
def
90
ref
285
ref
nil
cons
389
def
cons
nil
cons
390
def
cons
nil
cons
cons
391
def
104
ref
subst
391
remove
92
ref
96
remove
108
ref
appTerm
betaConv
108
remove
93
ref
appTerm
betaConv
98
ref
appThm
107
remove
95
ref
appTerm
betaConv
trans
trans
appThm
109
remove
appThm
103
remove
110
remove
appThm
eqMp
sym
81
ref
eqMp
392
def
subst
20
ref
"_32860"
2
ref
var
393
def
144
ref
176
ref
376
ref
393
remove
varTerm
appTerm
absTerm
appTerm
absTerm
394
def
180
ref
appTerm
395
def
appTerm
refl
394
ref
196
ref
appTerm
betaConv
appThm
92
ref
395
remove
betaConv
appThm
144
ref
176
ref
376
ref
196
ref
appTerm
absTerm
appTerm
refl
appThm
trans
394
remove
refl
285
ref
assume
396
def
appThm
eqMp
sym
202
ref
refl
397
def
192
ref
295
ref
"Data.Char.destPosition"
const
200
ref
constTerm
398
def
195
ref
appTerm
399
def
appTerm
400
def
"Number.Natural.Bits.bound"
const
201
ref
constTerm
401
def
195
ref
appTerm
402
def
214
ref
appTerm
403
def
appTerm
404
def
absTerm
405
def
195
ref
appTerm
406
def
betaConv
nil
299
ref
405
ref
appTerm
407
def
axiom
408
def
nil
43
ref
407
remove
nil
cons
cons
44
ref
406
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
405
remove
nil
cons
cons
304
ref
195
ref
nil
cons
409
def
cons
nil
cons
410
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
411
def
appThm
205
ref
refl
412
def
192
ref
295
ref
"Data.Char.destPlane"
const
200
ref
constTerm
413
def
195
ref
appTerm
414
def
appTerm
415
def
"Number.Natural.Bits.shiftRight"
const
201
ref
constTerm
416
def
195
ref
appTerm
417
def
214
ref
appTerm
418
def
appTerm
419
def
absTerm
420
def
195
ref
appTerm
421
def
betaConv
nil
299
ref
420
ref
appTerm
422
def
axiom
423
def
nil
43
ref
422
remove
nil
cons
cons
44
ref
421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
420
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
424
def
appThm
214
ref
refl
425
def
appThm
appThm
"k"
186
ref
var
426
def
295
ref
202
ref
402
remove
426
ref
varTerm
427
def
appTerm
428
def
appTerm
205
ref
417
remove
427
ref
appTerm
429
def
appTerm
427
ref
appTerm
appTerm
appTerm
195
ref
appTerm
absTerm
430
def
214
ref
appTerm
431
def
betaConv
192
ref
299
ref
430
ref
appTerm
432
def
absTerm
433
def
195
ref
appTerm
434
def
betaConv
nil
299
ref
433
ref
appTerm
435
def
axiom
436
def
nil
43
ref
435
remove
nil
cons
cons
437
def
44
ref
434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
433
ref
nil
cons
cons
438
def
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
439
def
nil
43
ref
432
remove
nil
cons
cons
440
def
44
ref
431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
430
ref
nil
cons
cons
441
def
304
ref
214
ref
nil
cons
442
def
cons
nil
cons
443
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
444
def
trans
445
def
20
ref
"_32864"
186
ref
var
446
def
144
ref
176
ref
376
ref
194
ref
446
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
447
def
195
ref
appTerm
448
def
appTerm
refl
447
ref
202
ref
399
ref
appTerm
205
ref
414
ref
appTerm
214
ref
appTerm
449
def
appTerm
450
def
appTerm
betaConv
appThm
92
ref
448
remove
betaConv
appThm
144
ref
176
ref
376
ref
194
ref
450
ref
appTerm
appTerm
absTerm
appTerm
451
def
refl
452
def
appThm
trans
447
remove
refl
295
ref
450
ref
appTerm
195
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
43
ref
387
ref
cons
453
def
44
ref
451
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
45
ref
refl
454
def
192
ref
20
ref
282
ref
appTerm
455
def
190
ref
191
ref
51
ref
239
ref
206
ref
appTerm
456
def
208
ref
213
ref
appTerm
457
def
appTerm
458
def
appTerm
459
def
51
ref
239
ref
203
ref
appTerm
460
def
231
ref
appTerm
461
def
appTerm
462
def
45
ref
295
ref
206
ref
appTerm
209
ref
appTerm
463
def
appTerm
464
def
51
ref
"Data.Bool.~"
const
18
remove
constTerm
465
def
51
ref
"Number.Natural.<="
const
238
remove
constTerm
466
def
253
ref
appTerm
467
def
203
ref
appTerm
appTerm
460
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
221
ref
appTerm
468
def
appTerm
appTerm
appTerm
appTerm
469
def
appTerm
appTerm
470
def
appTerm
appTerm
471
def
appTerm
appTerm
appTerm
appTerm
472
def
appTerm
473
def
appTerm
appTerm
appTerm
465
ref
51
ref
466
ref
244
ref
appTerm
474
def
203
ref
appTerm
appTerm
460
ref
207
ref
207
ref
207
ref
207
ref
208
ref
208
ref
242
remove
appTerm
appTerm
475
def
appTerm
appTerm
appTerm
appTerm
476
def
appTerm
477
def
appTerm
appTerm
appTerm
478
def
appTerm
appTerm
appTerm
479
def
absTerm
399
ref
appTerm
absTerm
414
ref
appTerm
480
def
appTerm
absTerm
481
def
195
ref
appTerm
482
def
betaConv
nil
299
ref
481
ref
appTerm
483
def
axiom
nil
43
ref
483
remove
nil
cons
cons
44
ref
482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
481
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
480
remove
betaConv
191
ref
51
ref
239
ref
414
ref
appTerm
484
def
457
ref
appTerm
485
def
appTerm
486
def
462
ref
45
ref
415
remove
209
ref
appTerm
487
def
appTerm
488
def
478
ref
appTerm
appTerm
appTerm
489
def
absTerm
399
ref
appTerm
betaConv
trans
trans
490
def
appThm
491
def
452
remove
appThm
sym
191
ref
45
ref
489
remove
appTerm
144
ref
176
ref
376
ref
194
ref
204
ref
449
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
492
def
399
ref
appTerm
493
def
betaConv
190
ref
299
ref
191
ref
45
ref
479
remove
appTerm
144
ref
176
ref
376
ref
194
ref
216
ref
appTerm
494
def
appTerm
absTerm
495
def
appTerm
496
def
appTerm
497
def
absTerm
498
def
appTerm
499
def
absTerm
500
def
414
ref
appTerm
501
def
betaConv
nil
303
ref
500
ref
nil
cons
cons
502
def
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
499
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
498
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
191
ref
nil
75
ref
497
remove
nil
cons
503
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
465
ref
463
ref
appTerm
504
def
nil
cons
505
def
cons
506
def
44
ref
503
ref
cons
nil
cons
507
def
cons
nil
cons
cons
508
def
62
ref
subst
508
remove
126
ref
subst
454
ref
459
ref
refl
462
ref
refl
509
def
454
ref
nil
506
remove
44
ref
20
ref
463
ref
appTerm
"Data.Bool.F"
const
16
ref
constTerm
510
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
463
ref
nil
cons
511
def
cons
512
def
nil
cons
nil
cons
cons
nil
43
ref
465
ref
93
ref
appTerm
513
def
nil
cons
514
def
cons
44
ref
20
ref
93
ref
appTerm
510
ref
appTerm
nil
cons
515
def
cons
nil
cons
cons
nil
cons
cons
516
def
62
ref
subst
516
remove
126
ref
subst
nil
43
ref
93
ref
nil
cons
517
def
cons
518
def
44
ref
510
ref
nil
cons
519
def
cons
nil
cons
520
def
cons
nil
cons
cons
62
ref
126
ref
20
ref
46
ref
appTerm
521
def
48
ref
appTerm
522
def
assume
523
def
83
remove
eqMp
eqMp
105
ref
deductAntisym
eqMp
524
def
nil
43
ref
49
ref
nil
cons
525
def
cons
526
def
44
ref
45
ref
48
ref
appTerm
527
def
46
ref
appTerm
nil
cons
528
def
cons
nil
cons
529
def
cons
nil
cons
cons
126
ref
subst
proveHyp
527
ref
refl
523
remove
appThm
sym
nil
43
ref
84
ref
cons
530
def
44
ref
84
ref
cons
nil
cons
531
def
cons
nil
cons
cons
532
def
62
ref
subst
532
remove
126
ref
subst
86
remove
eqMp
nil
88
ref
84
ref
cons
91
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
533
def
eqMp
nil
530
ref
44
ref
76
ref
cons
nil
cons
534
def
cons
nil
cons
cons
113
ref
subst
nil
88
ref
525
ref
cons
535
def
90
ref
528
remove
cons
nil
cons
536
def
cons
nil
cons
cons
537
def
392
ref
subst
eqMp
113
ref
537
remove
104
ref
subst
eqMp
deductAntisym
deductAntisym
538
def
subst
20
ref
513
ref
appTerm
refl
43
ref
47
ref
510
ref
appTerm
absTerm
539
def
93
ref
appTerm
betaConv
appThm
nil
71
ref
465
ref
appTerm
539
remove
appTerm
axiom
102
ref
appThm
eqMp
540
def
513
remove
assume
eqMp
nil
43
ref
45
ref
93
ref
appTerm
541
def
510
ref
appTerm
nil
cons
cons
44
ref
45
ref
510
ref
appTerm
542
def
93
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
519
ref
cons
44
ref
517
ref
cons
nil
cons
cons
nil
cons
cons
543
def
62
ref
subst
543
remove
126
ref
subst
43
ref
46
ref
absTerm
544
def
93
ref
appTerm
545
def
betaConv
nil
20
ref
510
ref
appTerm
546
def
334
ref
544
ref
appTerm
547
def
appTerm
axiom
510
ref
assume
eqMp
nil
43
ref
547
remove
nil
cons
cons
44
ref
545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
544
remove
nil
cons
cons
338
ref
517
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
519
ref
cons
90
ref
517
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
88
ref
514
remove
cons
90
ref
515
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
548
def
subst
eqMp
549
def
appThm
478
ref
refl
appThm
nil
75
ref
478
ref
nil
cons
cons
nil
cons
nil
cons
cons
75
ref
20
ref
542
ref
78
ref
appTerm
appTerm
67
ref
appTerm
absTerm
550
def
78
ref
appTerm
551
def
betaConv
nil
334
ref
550
ref
appTerm
552
def
axiom
nil
43
ref
552
remove
nil
cons
cons
44
ref
551
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
550
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
553
def
subst
trans
appThm
nil
75
ref
461
ref
nil
cons
554
def
cons
nil
cons
nil
cons
cons
555
def
75
ref
20
ref
51
ref
78
ref
appTerm
556
def
67
ref
appTerm
appTerm
78
ref
appTerm
absTerm
557
def
78
ref
appTerm
558
def
betaConv
nil
334
ref
557
ref
appTerm
559
def
axiom
nil
43
ref
559
remove
nil
cons
cons
44
ref
558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
557
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
560
def
subst
trans
appThm
appThm
496
ref
refl
appThm
sym
nil
43
ref
459
ref
461
ref
appTerm
nil
cons
561
def
cons
44
ref
496
ref
nil
cons
562
def
cons
nil
cons
563
def
cons
nil
cons
cons
564
def
62
ref
subst
564
remove
126
ref
subst
nil
88
ref
458
ref
nil
cons
565
def
cons
566
def
90
ref
554
ref
cons
nil
cons
567
def
cons
nil
cons
cons
568
def
104
ref
subst
568
remove
392
ref
subst
192
ref
51
ref
466
ref
231
ref
appTerm
569
def
195
ref
appTerm
appTerm
466
ref
195
ref
appTerm
570
def
204
ref
"Number.Natural.*"
const
201
ref
constTerm
571
def
231
ref
appTerm
572
def
206
ref
appTerm
573
def
appTerm
574
def
appTerm
575
def
appTerm
absTerm
576
def
204
ref
572
ref
210
ref
appTerm
577
def
appTerm
578
def
appTerm
betaConv
sym
569
ref
refl
579
def
204
ref
refl
580
def
nil
"m"
186
ref
var
581
def
231
ref
nil
cons
582
def
cons
583
def
nil
cons
584
def
nil
cons
cons
581
ref
295
ref
571
ref
581
ref
varTerm
585
def
appTerm
586
def
210
ref
appTerm
appTerm
585
ref
appTerm
absTerm
587
def
585
ref
appTerm
588
def
betaConv
nil
299
ref
587
ref
appTerm
589
def
axiom
nil
43
ref
589
remove
nil
cons
cons
44
ref
588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
587
remove
nil
cons
cons
304
ref
585
ref
nil
cons
590
def
cons
nil
cons
591
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
592
def
appThm
appThm
nil
581
ref
203
ref
nil
cons
593
def
cons
594
def
192
ref
582
ref
cons
595
def
nil
cons
596
def
cons
nil
cons
cons
nil
75
ref
570
ref
202
ref
585
ref
appTerm
597
def
195
ref
appTerm
598
def
appTerm
599
def
nil
cons
600
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
600
ref
cons
601
def
nil
cons
nil
cons
cons
602
def
521
ref
refl
603
def
nil
75
ref
465
ref
46
ref
appTerm
604
def
nil
cons
605
def
cons
nil
cons
nil
cons
cons
75
ref
20
ref
45
ref
78
ref
appTerm
606
def
510
ref
appTerm
appTerm
465
ref
78
ref
appTerm
607
def
appTerm
absTerm
608
def
78
ref
appTerm
609
def
betaConv
nil
334
ref
608
ref
appTerm
610
def
axiom
nil
43
ref
610
remove
nil
cons
cons
44
ref
609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
608
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
611
def
subst
appThm
sym
603
remove
77
ref
75
ref
20
ref
465
ref
607
ref
appTerm
appTerm
78
ref
appTerm
absTerm
612
def
78
ref
appTerm
613
def
betaConv
nil
334
ref
612
ref
appTerm
614
def
axiom
nil
43
ref
614
remove
nil
cons
cons
44
ref
613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
612
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
615
def
subst
appThm
nil
338
ref
76
ref
cons
nil
cons
616
def
nil
cons
cons
356
ref
321
ref
subst
617
def
subst
trans
sym
81
ref
eqMp
eqMp
618
def
subst
sym
nil
43
ref
465
ref
599
ref
appTerm
619
def
nil
cons
620
def
cons
621
def
520
ref
cons
nil
cons
cons
622
def
62
ref
subst
622
remove
126
ref
subst
nil
299
ref
581
ref
299
ref
192
ref
466
ref
585
ref
appTerm
623
def
598
ref
appTerm
absTerm
appTerm
absTerm
624
def
appTerm
625
def
axiom
nil
43
ref
625
ref
nil
cons
626
def
cons
627
def
520
ref
cons
nil
cons
cons
628
def
113
ref
subst
proveHyp
nil
299
ref
581
ref
299
ref
192
ref
295
ref
598
ref
appTerm
629
def
202
ref
195
ref
appTerm
630
def
585
ref
appTerm
631
def
appTerm
632
def
absTerm
633
def
appTerm
634
def
absTerm
635
def
appTerm
636
def
axiom
637
def
nil
43
ref
636
ref
nil
cons
638
def
cons
639
def
44
ref
45
ref
625
ref
appTerm
510
ref
appTerm
640
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
621
ref
44
ref
45
ref
636
ref
appTerm
641
def
640
remove
appTerm
642
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
581
ref
45
ref
619
ref
appTerm
643
def
642
remove
appTerm
absTerm
644
def
585
ref
appTerm
645
def
betaConv
192
ref
299
ref
644
ref
appTerm
646
def
absTerm
647
def
195
ref
appTerm
648
def
betaConv
299
ref
refl
649
def
192
ref
649
ref
581
ref
643
ref
refl
641
ref
refl
650
def
nil
75
ref
626
ref
cons
nil
cons
nil
cons
cons
611
ref
subst
651
def
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
303
ref
192
ref
299
ref
581
ref
643
remove
641
ref
465
ref
625
remove
appTerm
652
def
appTerm
653
def
appTerm
654
def
absTerm
655
def
appTerm
656
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
656
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
655
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
654
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
621
remove
44
ref
653
remove
nil
cons
657
def
cons
nil
cons
cons
nil
cons
cons
658
def
62
ref
subst
658
remove
126
ref
subst
nil
639
ref
44
ref
652
remove
nil
cons
659
def
cons
nil
cons
cons
nil
cons
cons
660
def
62
ref
subst
660
remove
126
ref
subst
651
remove
628
ref
62
ref
subst
628
remove
126
ref
subst
195
ref
refl
661
def
nil
43
ref
295
ref
195
ref
appTerm
662
def
195
ref
appTerm
663
def
nil
cons
cons
664
def
44
ref
51
ref
295
ref
631
ref
appTerm
598
ref
appTerm
665
def
appTerm
570
ref
631
ref
appTerm
666
def
appTerm
667
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
"_9272"
186
ref
var
668
def
590
ref
cons
"_9271"
186
ref
var
669
def
409
ref
cons
nil
cons
cons
nil
cons
cons
192
ref
295
ref
202
ref
669
remove
varTerm
670
def
appTerm
195
ref
appTerm
appTerm
630
ref
670
ref
appTerm
appTerm
absTerm
671
def
668
remove
varTerm
672
def
appTerm
673
def
betaConv
635
ref
670
ref
appTerm
674
def
betaConv
nil
639
ref
44
ref
674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
635
ref
nil
cons
675
def
cons
676
def
304
ref
670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
671
ref
appTerm
nil
cons
cons
44
ref
673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
671
remove
nil
cons
cons
304
ref
672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
665
remove
nil
cons
cons
44
ref
666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
"_9274"
186
ref
var
677
def
590
ref
cons
"_9273"
186
ref
var
678
def
409
ref
cons
nil
cons
cons
nil
cons
cons
192
ref
466
ref
678
remove
varTerm
679
def
appTerm
202
ref
679
ref
appTerm
195
ref
appTerm
appTerm
absTerm
680
def
677
remove
varTerm
681
def
appTerm
682
def
betaConv
624
ref
679
ref
appTerm
683
def
betaConv
nil
627
remove
44
ref
683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
624
remove
nil
cons
cons
304
ref
679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
680
ref
appTerm
nil
cons
cons
44
ref
682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
680
remove
nil
cons
cons
304
ref
681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
43
ref
51
ref
663
ref
appTerm
684
def
667
remove
appTerm
nil
cons
cons
44
ref
600
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_9278"
186
ref
var
685
def
598
ref
nil
cons
686
def
cons
"_9276"
186
ref
var
687
def
631
ref
nil
cons
cons
"_9277"
186
ref
var
688
def
409
ref
cons
"_9275"
186
ref
var
689
def
409
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
"b"
16
ref
var
690
def
"Data.Bool.\\/"
const
19
ref
constTerm
691
def
465
ref
295
ref
689
remove
varTerm
692
def
appTerm
688
remove
varTerm
693
def
appTerm
694
def
appTerm
695
def
appTerm
696
def
691
ref
465
ref
295
ref
687
remove
varTerm
697
def
appTerm
685
remove
varTerm
698
def
appTerm
699
def
appTerm
700
def
appTerm
701
def
465
ref
466
ref
692
remove
appTerm
697
remove
appTerm
702
def
appTerm
703
def
appTerm
704
def
appTerm
nil
cons
cons
"a"
16
ref
var
705
def
466
ref
693
remove
appTerm
698
remove
appTerm
706
def
nil
cons
707
def
cons
nil
cons
cons
nil
cons
cons
nil
43
ref
20
ref
705
ref
varTerm
708
def
appTerm
709
def
510
ref
appTerm
710
def
nil
cons
711
def
cons
712
def
44
ref
20
ref
691
ref
708
ref
appTerm
690
ref
varTerm
713
def
appTerm
714
def
appTerm
45
ref
465
ref
713
ref
appTerm
715
def
appTerm
716
def
708
ref
appTerm
appTerm
nil
cons
717
def
cons
nil
cons
718
def
cons
nil
cons
cons
719
def
62
ref
subst
719
remove
126
ref
subst
20
ref
"_606"
16
ref
var
720
def
20
ref
691
ref
720
remove
varTerm
721
def
appTerm
713
ref
appTerm
appTerm
716
ref
721
remove
appTerm
appTerm
absTerm
722
def
708
ref
appTerm
723
def
appTerm
refl
724
def
722
ref
510
ref
appTerm
betaConv
appThm
92
ref
723
remove
betaConv
appThm
725
def
20
ref
691
ref
510
ref
appTerm
726
def
713
ref
appTerm
727
def
appTerm
716
ref
510
ref
appTerm
appTerm
refl
appThm
trans
722
remove
refl
728
def
710
remove
assume
729
def
appThm
eqMp
sym
92
ref
nil
75
ref
713
ref
nil
cons
730
def
cons
nil
cons
nil
cons
cons
731
def
75
ref
20
ref
726
ref
78
ref
appTerm
appTerm
78
ref
appTerm
absTerm
732
def
78
ref
appTerm
733
def
betaConv
nil
334
ref
732
ref
appTerm
734
def
axiom
nil
43
ref
734
remove
nil
cons
cons
44
ref
733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
732
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
735
def
subst
736
def
appThm
nil
75
ref
715
ref
nil
cons
737
def
cons
nil
cons
nil
cons
cons
738
def
611
ref
subst
731
ref
615
ref
subst
trans
appThm
nil
338
ref
730
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
739
def
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
711
ref
cons
740
def
90
ref
717
ref
cons
nil
cons
741
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
709
ref
67
ref
appTerm
742
def
nil
cons
743
def
cons
744
def
718
remove
cons
nil
cons
cons
745
def
62
ref
subst
745
remove
126
ref
subst
724
remove
"_604"
16
ref
var
746
def
20
ref
691
ref
746
remove
varTerm
747
def
appTerm
713
ref
appTerm
appTerm
716
ref
747
remove
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
725
remove
20
ref
691
ref
67
ref
appTerm
748
def
713
ref
appTerm
749
def
appTerm
716
remove
67
ref
appTerm
appTerm
refl
appThm
trans
728
remove
742
remove
assume
750
def
appThm
eqMp
sym
92
ref
731
ref
75
ref
20
ref
748
ref
78
ref
appTerm
appTerm
67
ref
appTerm
absTerm
751
def
78
ref
appTerm
752
def
betaConv
nil
334
ref
751
ref
appTerm
753
def
axiom
nil
43
ref
753
remove
nil
cons
cons
44
ref
752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
751
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
754
def
subst
755
def
appThm
738
ref
75
ref
20
ref
606
ref
67
ref
appTerm
appTerm
67
ref
appTerm
absTerm
756
def
78
ref
appTerm
757
def
betaConv
nil
334
ref
756
ref
appTerm
758
def
axiom
nil
43
ref
758
remove
nil
cons
cons
44
ref
757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
756
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
759
def
subst
760
def
appThm
330
ref
75
ref
20
ref
20
ref
67
ref
appTerm
761
def
78
ref
appTerm
appTerm
78
ref
appTerm
absTerm
762
def
78
ref
appTerm
763
def
betaConv
nil
334
ref
762
ref
appTerm
764
def
axiom
nil
43
ref
764
remove
nil
cons
cons
44
ref
763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
762
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
765
def
subst
766
def
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
743
remove
cons
767
def
741
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
75
ref
691
ref
80
ref
appTerm
79
remove
510
ref
appTerm
768
def
appTerm
absTerm
769
def
708
ref
appTerm
770
def
betaConv
nil
334
ref
769
ref
appTerm
771
def
axiom
772
def
nil
43
ref
771
remove
nil
cons
cons
773
def
44
ref
770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
769
ref
nil
cons
cons
774
def
338
ref
708
ref
nil
cons
775
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
776
def
nil
767
ref
90
ref
711
remove
cons
777
def
"R"
16
ref
var
778
def
717
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
43
ref
45
ref
95
ref
appTerm
779
def
778
ref
varTerm
780
def
appTerm
781
def
nil
cons
cons
44
ref
780
ref
nil
cons
782
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
43
ref
541
ref
780
ref
appTerm
nil
cons
cons
44
ref
45
ref
781
remove
appTerm
780
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
"r"
16
ref
var
783
def
45
ref
541
ref
783
ref
varTerm
784
def
appTerm
appTerm
785
def
45
ref
779
ref
784
ref
appTerm
appTerm
784
ref
appTerm
appTerm
absTerm
786
def
780
remove
appTerm
787
def
betaConv
20
ref
691
ref
93
ref
appTerm
788
def
95
ref
appTerm
789
def
appTerm
refl
44
ref
334
ref
783
ref
785
remove
45
ref
527
ref
784
ref
appTerm
790
def
appTerm
784
ref
appTerm
791
def
appTerm
absTerm
appTerm
absTerm
95
ref
appTerm
betaConv
appThm
71
remove
788
remove
appTerm
refl
43
ref
44
ref
334
ref
783
ref
45
ref
47
ref
784
ref
appTerm
appTerm
791
remove
appTerm
absTerm
appTerm
absTerm
absTerm
792
def
93
remove
appTerm
betaConv
appThm
nil
59
remove
691
ref
appTerm
792
remove
appTerm
axiom
102
remove
appThm
eqMp
98
remove
appThm
eqMp
793
def
789
remove
assume
eqMp
nil
43
ref
334
ref
786
ref
appTerm
nil
cons
cons
44
ref
787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
786
remove
nil
cons
cons
338
ref
782
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
794
def
subst
proveHyp
proveHyp
proveHyp
795
def
subst
454
ref
nil
690
ref
704
remove
nil
cons
cons
705
ref
695
remove
nil
cons
796
def
cons
nil
cons
cons
nil
cons
cons
nil
712
ref
44
ref
20
ref
465
ref
714
remove
appTerm
appTerm
51
ref
465
ref
708
ref
appTerm
797
def
appTerm
715
ref
appTerm
appTerm
nil
cons
798
def
cons
nil
cons
799
def
cons
nil
cons
cons
800
def
62
ref
subst
800
remove
126
ref
subst
20
ref
"_610"
16
ref
var
801
def
20
ref
465
ref
691
ref
801
remove
varTerm
802
def
appTerm
713
ref
appTerm
appTerm
appTerm
51
ref
465
ref
802
remove
appTerm
appTerm
715
ref
appTerm
appTerm
absTerm
803
def
708
ref
appTerm
804
def
appTerm
refl
805
def
803
ref
510
ref
appTerm
betaConv
appThm
92
ref
804
remove
betaConv
appThm
806
def
20
ref
465
ref
727
remove
appTerm
appTerm
51
ref
465
ref
510
ref
appTerm
807
def
appTerm
808
def
715
ref
appTerm
appTerm
refl
appThm
trans
803
remove
refl
809
def
729
ref
appThm
eqMp
sym
92
ref
465
ref
refl
810
def
736
ref
appThm
appThm
291
ref
nil
20
ref
807
ref
appTerm
67
ref
appTerm
axiom
811
def
appThm
812
def
715
ref
refl
813
def
appThm
738
ref
341
ref
subst
trans
appThm
nil
338
ref
737
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
740
ref
90
ref
798
ref
cons
nil
cons
814
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
744
ref
799
remove
cons
nil
cons
cons
815
def
62
ref
subst
815
remove
126
ref
subst
805
remove
"_608"
16
ref
var
816
def
20
ref
465
ref
691
ref
816
remove
varTerm
817
def
appTerm
713
ref
appTerm
appTerm
appTerm
51
ref
465
ref
817
remove
appTerm
appTerm
715
ref
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
806
remove
20
ref
465
ref
749
remove
appTerm
appTerm
51
ref
465
ref
67
ref
appTerm
818
def
appTerm
819
def
715
remove
appTerm
appTerm
refl
appThm
trans
809
remove
750
ref
appThm
eqMp
sym
92
ref
810
ref
755
ref
appThm
nil
20
ref
818
ref
appTerm
510
ref
appTerm
axiom
820
def
trans
appThm
291
ref
820
ref
appThm
821
def
813
remove
appThm
738
remove
75
ref
20
ref
51
ref
510
ref
appTerm
822
def
78
ref
appTerm
appTerm
510
ref
appTerm
absTerm
823
def
78
ref
appTerm
824
def
betaConv
nil
334
ref
823
ref
appTerm
825
def
axiom
nil
43
ref
825
remove
nil
cons
cons
44
ref
824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
823
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
826
def
subst
trans
appThm
nil
75
ref
519
ref
cons
nil
cons
nil
cons
cons
827
def
75
ref
20
ref
546
ref
78
ref
appTerm
appTerm
607
ref
appTerm
absTerm
828
def
78
ref
appTerm
829
def
betaConv
nil
334
ref
828
ref
appTerm
830
def
axiom
nil
43
ref
830
remove
nil
cons
cons
44
ref
829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
828
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
831
def
subst
811
ref
trans
832
def
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
767
ref
814
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
776
ref
nil
767
ref
777
ref
778
ref
798
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
833
def
subst
291
ref
nil
705
ref
694
ref
nil
cons
834
def
cons
nil
cons
835
def
nil
cons
cons
nil
75
ref
775
remove
cons
nil
cons
nil
cons
cons
615
ref
subst
836
def
subst
appThm
nil
690
ref
703
ref
nil
cons
837
def
cons
705
ref
700
ref
nil
cons
838
def
cons
nil
cons
cons
nil
cons
cons
833
ref
subst
291
ref
nil
705
ref
699
ref
nil
cons
839
def
cons
nil
cons
840
def
nil
cons
cons
836
ref
subst
appThm
nil
705
ref
702
ref
nil
cons
cons
nil
cons
841
def
nil
cons
cons
836
ref
subst
appThm
trans
appThm
trans
appThm
706
ref
refl
appThm
trans
92
ref
696
ref
refl
842
def
nil
783
ref
837
ref
cons
44
ref
707
ref
cons
843
def
43
ref
838
ref
cons
nil
cons
844
def
cons
cons
nil
cons
cons
92
ref
nil
"t3"
16
ref
var
845
def
784
ref
nil
cons
846
def
cons
847
def
"t2"
16
ref
var
848
def
84
ref
cons
"t1"
16
ref
var
849
def
76
ref
cons
nil
cons
cons
850
def
cons
nil
cons
cons
845
ref
20
ref
691
ref
849
ref
varTerm
851
def
appTerm
852
def
691
ref
848
ref
varTerm
853
def
appTerm
854
def
845
ref
varTerm
855
def
appTerm
appTerm
856
def
appTerm
691
ref
852
remove
853
ref
appTerm
857
def
appTerm
855
ref
appTerm
858
def
appTerm
859
def
absTerm
860
def
855
ref
appTerm
861
def
betaConv
848
ref
334
ref
860
ref
appTerm
862
def
absTerm
863
def
853
ref
appTerm
864
def
betaConv
849
ref
334
ref
863
ref
appTerm
865
def
absTerm
866
def
851
ref
appTerm
867
def
betaConv
334
ref
refl
868
def
849
ref
868
ref
848
ref
868
ref
845
ref
859
remove
assume
sym
20
ref
858
remove
appTerm
856
remove
appTerm
869
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
334
ref
849
ref
334
ref
848
ref
334
ref
845
remove
869
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
334
ref
866
ref
appTerm
nil
cons
cons
44
ref
867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
866
remove
nil
cons
cons
338
ref
851
ref
nil
cons
cons
nil
cons
870
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
865
remove
nil
cons
cons
44
ref
864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
863
remove
nil
cons
cons
338
ref
853
ref
nil
cons
cons
nil
cons
871
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
862
remove
nil
cons
cons
44
ref
861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
860
remove
nil
cons
cons
338
ref
855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
872
def
subst
appThm
nil
847
remove
848
ref
76
ref
cons
849
ref
84
ref
cons
nil
cons
cons
cons
nil
cons
cons
872
remove
subst
appThm
sym
691
ref
refl
873
def
nil
850
remove
nil
cons
cons
848
ref
20
ref
857
ref
appTerm
854
remove
851
ref
appTerm
appTerm
absTerm
874
def
853
ref
appTerm
875
def
betaConv
849
ref
334
ref
874
ref
appTerm
876
def
absTerm
877
def
851
ref
appTerm
878
def
betaConv
nil
334
ref
877
ref
appTerm
879
def
axiom
nil
43
ref
879
remove
nil
cons
cons
44
ref
878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
877
remove
nil
cons
cons
870
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
876
remove
nil
cons
cons
44
ref
875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
874
remove
nil
cons
cons
871
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
880
def
subst
881
def
appThm
784
ref
refl
appThm
eqMp
882
def
subst
691
ref
706
ref
appTerm
883
def
refl
884
def
nil
44
ref
837
remove
cons
885
def
844
remove
cons
nil
cons
cons
881
ref
subst
886
def
appThm
trans
appThm
nil
783
ref
691
ref
703
ref
appTerm
887
def
700
ref
appTerm
nil
cons
cons
843
remove
43
ref
796
remove
cons
nil
cons
888
def
cons
cons
nil
cons
cons
882
ref
subst
884
ref
nil
783
ref
838
remove
cons
885
remove
888
remove
cons
cons
nil
cons
cons
882
ref
subst
889
def
appThm
trans
trans
appThm
884
remove
842
remove
886
remove
appThm
889
remove
trans
appThm
appThm
nil
338
ref
883
ref
887
remove
696
remove
700
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
nil
690
ref
701
remove
883
remove
703
remove
appTerm
890
def
appTerm
nil
cons
891
def
cons
835
remove
cons
nil
cons
cons
nil
712
ref
44
ref
20
ref
45
ref
708
ref
appTerm
713
ref
appTerm
appTerm
691
ref
797
ref
appTerm
713
ref
appTerm
appTerm
nil
cons
892
def
cons
nil
cons
893
def
cons
nil
cons
cons
894
def
62
ref
subst
894
remove
126
ref
subst
20
ref
"_630"
16
ref
var
895
def
20
ref
45
ref
895
remove
varTerm
896
def
appTerm
713
ref
appTerm
appTerm
691
ref
465
ref
896
remove
appTerm
appTerm
713
ref
appTerm
appTerm
absTerm
897
def
708
ref
appTerm
898
def
appTerm
refl
899
def
897
ref
510
ref
appTerm
betaConv
appThm
92
ref
898
remove
betaConv
appThm
900
def
20
ref
542
remove
713
ref
appTerm
appTerm
691
ref
807
ref
appTerm
901
def
713
ref
appTerm
appTerm
refl
appThm
trans
897
remove
refl
902
def
729
ref
appThm
eqMp
sym
92
ref
731
ref
553
ref
subst
appThm
873
ref
811
ref
appThm
903
def
713
ref
refl
904
def
appThm
755
remove
trans
appThm
766
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
740
ref
90
ref
892
ref
cons
nil
cons
905
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
744
ref
893
remove
cons
nil
cons
cons
906
def
62
ref
subst
906
remove
126
ref
subst
899
remove
"_628"
16
ref
var
907
def
20
ref
45
ref
907
remove
varTerm
908
def
appTerm
713
ref
appTerm
appTerm
691
ref
465
ref
908
remove
appTerm
appTerm
713
ref
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
900
remove
20
ref
45
ref
67
ref
appTerm
909
def
713
ref
appTerm
appTerm
691
ref
818
ref
appTerm
910
def
713
ref
appTerm
appTerm
refl
appThm
trans
902
remove
750
ref
appThm
eqMp
sym
92
ref
731
ref
75
ref
20
ref
909
remove
78
ref
appTerm
appTerm
78
ref
appTerm
absTerm
911
def
78
ref
appTerm
912
def
betaConv
nil
334
ref
911
ref
appTerm
913
def
axiom
nil
43
ref
913
remove
nil
cons
cons
44
ref
912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
911
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
914
def
subst
appThm
873
ref
820
ref
appThm
915
def
904
remove
appThm
736
remove
trans
appThm
739
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
767
ref
905
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
776
ref
nil
767
ref
777
ref
778
ref
892
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
916
def
subst
nil
43
ref
834
ref
cons
44
ref
891
ref
cons
nil
cons
cons
nil
cons
cons
917
def
62
ref
subst
917
remove
126
ref
subst
nil
690
ref
890
remove
nil
cons
918
def
cons
840
remove
cons
nil
cons
cons
916
ref
subst
nil
43
ref
839
ref
cons
44
ref
918
ref
cons
nil
cons
919
def
cons
nil
cons
cons
920
def
62
ref
subst
920
remove
126
ref
subst
466
ref
refl
921
def
694
remove
assume
appThm
699
remove
assume
appThm
nil
43
ref
20
ref
702
remove
appTerm
706
remove
appTerm
nil
cons
cons
919
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
690
ref
707
remove
cons
841
remove
cons
nil
cons
cons
nil
712
remove
44
ref
45
ref
709
remove
713
ref
appTerm
appTerm
691
ref
713
ref
appTerm
922
def
797
remove
appTerm
appTerm
nil
cons
923
def
cons
nil
cons
924
def
cons
nil
cons
cons
925
def
62
ref
subst
925
remove
126
ref
subst
20
ref
"_634"
16
ref
var
926
def
45
ref
20
ref
926
remove
varTerm
927
def
appTerm
713
ref
appTerm
appTerm
922
ref
465
ref
927
remove
appTerm
appTerm
appTerm
absTerm
928
def
708
remove
appTerm
929
def
appTerm
refl
930
def
928
ref
510
ref
appTerm
betaConv
appThm
92
ref
929
remove
betaConv
appThm
931
def
45
ref
546
ref
713
ref
appTerm
appTerm
922
ref
807
ref
appTerm
appTerm
refl
appThm
trans
928
remove
refl
932
def
729
remove
appThm
eqMp
sym
454
ref
731
ref
831
ref
subst
appThm
922
ref
refl
933
def
811
ref
appThm
731
ref
75
ref
20
ref
691
ref
78
ref
appTerm
934
def
67
ref
appTerm
appTerm
67
ref
appTerm
absTerm
935
def
78
ref
appTerm
936
def
betaConv
nil
334
ref
935
ref
appTerm
937
def
axiom
nil
43
ref
937
remove
nil
cons
cons
44
ref
936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
935
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
938
def
subst
trans
appThm
760
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
740
remove
90
ref
923
ref
cons
nil
cons
939
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
744
remove
924
remove
cons
nil
cons
cons
940
def
62
ref
subst
940
remove
126
ref
subst
930
remove
"_632"
16
ref
var
941
def
45
ref
20
ref
941
remove
varTerm
942
def
appTerm
713
ref
appTerm
appTerm
922
ref
465
ref
942
remove
appTerm
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
931
remove
45
ref
761
ref
713
remove
appTerm
appTerm
922
remove
818
ref
appTerm
appTerm
refl
appThm
trans
932
remove
750
remove
appThm
eqMp
sym
454
ref
731
ref
765
ref
subst
appThm
933
remove
820
ref
appThm
731
ref
75
ref
20
ref
934
ref
510
ref
appTerm
appTerm
78
ref
appTerm
absTerm
943
def
78
ref
appTerm
944
def
betaConv
nil
334
ref
943
ref
appTerm
945
def
axiom
nil
43
ref
945
remove
nil
cons
cons
44
ref
944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
943
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
946
def
subst
trans
appThm
731
remove
nil
75
ref
606
remove
78
ref
appTerm
947
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
75
ref
947
remove
absTerm
948
def
78
ref
appTerm
949
def
betaConv
nil
334
ref
948
ref
appTerm
950
def
axiom
nil
43
ref
950
remove
nil
cons
cons
44
ref
949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
948
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
951
def
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
767
ref
939
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
776
remove
nil
767
remove
777
remove
778
ref
923
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
88
ref
839
remove
cons
90
ref
918
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
834
remove
cons
90
ref
891
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
601
remove
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
602
remove
20
ref
604
ref
appTerm
refl
77
remove
611
ref
subst
appThm
nil
338
ref
605
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
952
def
subst
619
remove
assume
eqMp
eqMp
eqMp
nil
88
ref
626
remove
cons
90
ref
519
ref
cons
nil
cons
953
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
638
remove
cons
954
def
90
ref
659
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
620
remove
cons
955
def
90
ref
657
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
299
ref
647
ref
appTerm
nil
cons
cons
44
ref
648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
647
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
646
remove
nil
cons
cons
44
ref
645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
644
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
955
remove
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
956
def
subst
trans
sym
81
ref
eqMp
nil
43
ref
569
ref
578
ref
appTerm
nil
cons
cons
44
ref
466
ref
578
ref
appTerm
574
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
"p"
186
ref
var
957
def
573
ref
nil
cons
958
def
cons
192
ref
577
ref
nil
cons
959
def
cons
594
ref
nil
cons
960
def
cons
cons
nil
cons
cons
957
ref
20
ref
466
ref
598
ref
appTerm
597
ref
957
ref
varTerm
961
def
appTerm
962
def
appTerm
appTerm
570
ref
961
ref
appTerm
963
def
appTerm
absTerm
964
def
961
ref
appTerm
965
def
betaConv
192
ref
299
ref
964
ref
appTerm
966
def
absTerm
967
def
195
ref
appTerm
968
def
betaConv
581
ref
299
ref
967
ref
appTerm
969
def
absTerm
970
def
585
ref
appTerm
971
def
betaConv
nil
299
ref
970
ref
appTerm
972
def
axiom
nil
43
ref
972
remove
nil
cons
cons
44
ref
971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
970
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
969
remove
nil
cons
cons
44
ref
968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
967
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
966
remove
nil
cons
cons
44
ref
965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
964
remove
nil
cons
cons
304
ref
961
ref
nil
cons
973
def
cons
nil
cons
974
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
975
def
subst
nil
957
ref
206
ref
nil
cons
976
def
cons
192
ref
210
ref
nil
cons
977
def
cons
978
def
584
ref
cons
cons
nil
cons
cons
979
def
957
ref
20
ref
466
ref
586
ref
195
ref
appTerm
980
def
appTerm
586
ref
961
ref
appTerm
981
def
appTerm
appTerm
691
ref
295
ref
585
ref
appTerm
982
def
209
ref
appTerm
983
def
appTerm
984
def
963
ref
appTerm
appTerm
absTerm
985
def
961
ref
appTerm
986
def
betaConv
192
ref
299
ref
985
ref
appTerm
987
def
absTerm
988
def
195
ref
appTerm
989
def
betaConv
581
ref
299
ref
988
ref
appTerm
990
def
absTerm
991
def
585
ref
appTerm
992
def
betaConv
nil
299
ref
991
ref
appTerm
993
def
axiom
nil
43
ref
993
remove
nil
cons
cons
44
ref
992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
991
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
990
remove
nil
cons
cons
44
ref
989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
988
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
987
remove
nil
cons
cons
44
ref
986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
985
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
994
def
subst
trans
691
ref
295
ref
231
ref
appTerm
209
ref
appTerm
995
def
appTerm
refl
996
def
921
ref
nil
192
ref
209
ref
nil
cons
997
def
cons
998
def
nil
cons
nil
cons
cons
999
def
192
ref
295
ref
208
ref
195
ref
appTerm
1000
def
appTerm
1001
def
"Number.Natural.suc"
const
200
ref
constTerm
1002
def
207
ref
195
ref
appTerm
1003
def
appTerm
1004
def
appTerm
absTerm
1005
def
195
ref
appTerm
1006
def
betaConv
nil
299
ref
1005
ref
appTerm
1007
def
axiom
nil
43
ref
1007
remove
nil
cons
cons
44
ref
1006
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1005
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1002
ref
refl
1008
def
192
ref
295
ref
1003
ref
appTerm
1009
def
630
ref
195
ref
appTerm
1010
def
appTerm
1011
def
absTerm
1012
def
195
ref
appTerm
1013
def
betaConv
1014
def
306
ref
nil
295
ref
207
ref
209
ref
appTerm
appTerm
1015
def
209
ref
appTerm
axiom
1016
def
appThm
999
ref
192
ref
295
ref
202
ref
209
ref
appTerm
1017
def
195
ref
appTerm
appTerm
195
ref
appTerm
absTerm
1018
def
195
ref
appTerm
1019
def
betaConv
nil
299
ref
1018
ref
appTerm
1020
def
axiom
nil
43
ref
1020
ref
nil
cons
1021
def
cons
1022
def
44
ref
1019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1018
ref
nil
cons
cons
1023
def
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1024
def
subst
1025
def
appThm
nil
304
ref
997
ref
cons
nil
cons
nil
cons
cons
1026
def
322
ref
subst
1027
def
trans
sym
81
ref
eqMp
nil
43
ref
1015
remove
1017
ref
209
ref
appTerm
1028
def
appTerm
1029
def
nil
cons
cons
44
ref
299
ref
192
ref
45
ref
1011
ref
appTerm
295
ref
207
ref
1002
ref
195
ref
appTerm
1030
def
appTerm
1031
def
appTerm
1032
def
202
ref
1030
ref
appTerm
1030
ref
appTerm
appTerm
1033
def
appTerm
1034
def
absTerm
1035
def
appTerm
1036
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
303
ref
1035
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
1034
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1011
ref
nil
cons
1037
def
cons
44
ref
1033
remove
nil
cons
1038
def
cons
nil
cons
cons
nil
cons
cons
1039
def
62
ref
subst
1039
remove
126
ref
subst
306
ref
192
ref
1032
remove
1002
ref
1004
ref
appTerm
appTerm
absTerm
1040
def
195
ref
appTerm
1041
def
betaConv
nil
299
ref
1040
ref
appTerm
1042
def
axiom
nil
43
ref
1042
remove
nil
cons
cons
44
ref
1041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1040
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1008
ref
1008
ref
1011
remove
assume
appThm
appThm
trans
appThm
nil
192
ref
1030
ref
nil
cons
1043
def
cons
1044
def
581
ref
409
ref
cons
nil
cons
1045
def
cons
nil
cons
cons
192
ref
295
ref
202
ref
1002
ref
585
ref
appTerm
1046
def
appTerm
195
ref
appTerm
appTerm
1002
ref
598
ref
appTerm
1047
def
appTerm
absTerm
1048
def
195
ref
appTerm
1049
def
betaConv
581
ref
299
ref
1048
ref
appTerm
1050
def
absTerm
1051
def
585
ref
appTerm
1052
def
betaConv
nil
299
ref
1051
ref
appTerm
1053
def
axiom
nil
43
ref
1053
ref
nil
cons
cons
44
ref
1052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1051
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1050
remove
nil
cons
cons
44
ref
1049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1048
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1054
def
subst
1055
def
1008
ref
nil
1045
ref
nil
cons
cons
1056
def
192
ref
295
ref
597
ref
1030
ref
appTerm
appTerm
1047
ref
appTerm
absTerm
1057
def
195
ref
appTerm
1058
def
betaConv
581
ref
299
ref
1057
ref
appTerm
1059
def
absTerm
1060
def
585
ref
appTerm
1061
def
betaConv
nil
299
ref
1060
ref
appTerm
1062
def
axiom
nil
43
ref
1062
ref
nil
cons
cons
44
ref
1061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1060
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1059
remove
nil
cons
cons
44
ref
1058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1057
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1063
def
subst
appThm
1064
def
trans
appThm
nil
304
ref
1002
ref
1002
ref
1010
ref
appTerm
1065
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
1066
def
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
1037
remove
cons
90
ref
1038
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
51
ref
1029
remove
appTerm
1036
remove
appTerm
nil
cons
cons
44
ref
299
ref
1012
ref
appTerm
nil
cons
1067
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
291
ref
1012
ref
209
ref
appTerm
betaConv
appThm
649
ref
192
ref
454
ref
1014
ref
appThm
1012
ref
1030
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
649
ref
192
ref
1014
remove
absThm
appThm
appThm
nil
"p"
236
ref
var
1068
def
1012
remove
nil
cons
1069
def
cons
nil
cons
nil
cons
cons
1068
ref
45
ref
51
ref
1068
ref
varTerm
1070
def
209
ref
appTerm
appTerm
299
ref
192
ref
45
ref
1070
ref
195
ref
appTerm
1071
def
appTerm
1070
ref
1030
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
299
ref
192
ref
1071
remove
absTerm
appTerm
appTerm
absTerm
1072
def
1070
ref
appTerm
1073
def
betaConv
nil
24
ref
0
ref
298
ref
17
ref
cons
opType
constTerm
1072
ref
appTerm
1074
def
axiom
nil
43
ref
1074
remove
nil
cons
cons
44
ref
1073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
237
remove
cons
nil
cons
"P"
298
remove
var
1072
remove
nil
cons
cons
"x"
236
ref
var
1070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
43
ref
1067
remove
cons
44
ref
1013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1069
remove
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1075
def
appThm
1076
def
trans
1077
def
subst
1078
def
1008
ref
1025
ref
appThm
trans
1079
def
appThm
206
ref
refl
1080
def
appThm
nil
192
ref
976
ref
cons
1081
def
581
ref
997
ref
cons
1082
def
nil
cons
1083
def
cons
nil
cons
cons
192
ref
20
ref
466
ref
1046
ref
appTerm
195
ref
appTerm
appTerm
239
ref
585
ref
appTerm
1084
def
195
ref
appTerm
1085
def
appTerm
absTerm
1086
def
195
ref
appTerm
1087
def
betaConv
581
ref
299
ref
1086
ref
appTerm
1088
def
absTerm
1089
def
585
ref
appTerm
1090
def
betaConv
nil
299
ref
1089
ref
appTerm
1091
def
axiom
nil
43
ref
1091
remove
nil
cons
cons
44
ref
1090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1089
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1088
remove
nil
cons
cons
44
ref
1087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1086
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1092
def
subst
nil
1081
ref
nil
cons
nil
cons
cons
1093
def
192
ref
20
ref
239
ref
209
ref
appTerm
1094
def
195
ref
appTerm
appTerm
465
ref
662
ref
209
ref
appTerm
1095
def
appTerm
1096
def
appTerm
absTerm
1097
def
195
ref
appTerm
1098
def
betaConv
nil
299
ref
1097
ref
appTerm
1099
def
axiom
nil
43
ref
1099
remove
nil
cons
cons
44
ref
1098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1097
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
810
ref
549
ref
appThm
811
ref
trans
1100
def
trans
trans
trans
appThm
nil
75
ref
995
ref
nil
cons
1101
def
cons
nil
cons
nil
cons
cons
938
ref
subst
trans
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
576
ref
nil
cons
cons
304
ref
578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
576
remove
appTerm
nil
cons
cons
44
ref
569
ref
574
ref
appTerm
1102
def
nil
cons
1103
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
574
ref
nil
cons
1104
def
cons
1105
def
584
ref
cons
nil
cons
cons
957
ref
45
ref
372
ref
192
ref
51
ref
623
ref
195
ref
appTerm
1106
def
appTerm
1107
def
963
ref
appTerm
1108
def
absTerm
1109
def
appTerm
1110
def
appTerm
1111
def
623
ref
961
ref
appTerm
1112
def
appTerm
1113
def
absTerm
1114
def
961
ref
appTerm
1115
def
betaConv
581
ref
299
ref
1114
ref
appTerm
1116
def
absTerm
1117
def
585
ref
appTerm
1118
def
betaConv
nil
299
ref
581
ref
299
ref
192
ref
299
ref
957
ref
45
ref
1108
ref
appTerm
1112
ref
appTerm
absTerm
1119
def
appTerm
1120
def
absTerm
1121
def
appTerm
1122
def
absTerm
1123
def
appTerm
1124
def
axiom
nil
43
ref
1124
ref
nil
cons
1125
def
cons
1126
def
44
ref
299
ref
1117
ref
appTerm
nil
cons
1127
def
cons
nil
cons
cons
nil
cons
cons
1128
def
113
ref
subst
proveHyp
1128
ref
62
ref
subst
1128
remove
126
ref
subst
nil
303
ref
1117
remove
nil
cons
cons
1129
def
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
1116
remove
nil
cons
1130
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
1114
remove
nil
cons
cons
1131
def
nil
cons
nil
cons
cons
382
ref
subst
957
ref
nil
75
ref
1113
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1110
remove
nil
cons
1132
def
cons
1133
def
44
ref
1112
ref
nil
cons
1134
def
cons
nil
cons
1135
def
cons
nil
cons
cons
1136
def
62
ref
subst
1136
remove
126
ref
subst
nil
1126
ref
1135
ref
cons
nil
cons
cons
1137
def
113
ref
subst
nil
1133
remove
44
ref
45
ref
1124
remove
appTerm
1112
remove
appTerm
1138
def
nil
cons
1139
def
cons
nil
cons
1140
def
cons
nil
cons
cons
113
ref
subst
nil
303
ref
192
ref
45
ref
1109
ref
195
ref
appTerm
1141
def
appTerm
1138
ref
appTerm
1142
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
1142
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1141
ref
nil
cons
1143
def
cons
1140
ref
cons
nil
cons
cons
1144
def
62
ref
subst
1144
remove
126
ref
subst
1141
ref
betaConv
1141
remove
assume
eqMp
nil
43
ref
1108
remove
nil
cons
1145
def
cons
1146
def
1140
remove
cons
nil
cons
cons
1147
def
113
ref
subst
proveHyp
1147
ref
62
ref
subst
1147
remove
126
ref
subst
1137
ref
62
ref
subst
1137
remove
126
ref
subst
nil
1146
remove
1135
remove
cons
nil
cons
cons
113
ref
subst
1119
ref
961
ref
appTerm
1148
def
betaConv
1121
ref
195
ref
appTerm
1149
def
betaConv
1123
ref
585
ref
appTerm
1150
def
betaConv
nil
1126
remove
44
ref
1150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
1123
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1122
remove
nil
cons
cons
44
ref
1149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1121
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1120
remove
nil
cons
cons
44
ref
1148
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1119
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
1125
remove
cons
1151
def
90
ref
1134
remove
cons
nil
cons
1152
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
1145
remove
cons
90
ref
1139
remove
cons
nil
cons
1153
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
1143
remove
cons
1153
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
1109
ref
304
ref
varTerm
1154
def
appTerm
appTerm
1138
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
1111
remove
1138
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1109
remove
nil
cons
cons
1153
remove
cons
nil
cons
cons
nil
359
ref
44
ref
45
ref
344
ref
appTerm
1155
def
95
ref
appTerm
nil
cons
1156
def
cons
nil
cons
cons
nil
cons
cons
1157
def
62
ref
subst
1157
remove
126
ref
subst
nil
43
ref
344
remove
nil
cons
1158
def
cons
1159
def
361
ref
cons
nil
cons
cons
1160
def
62
ref
subst
1160
remove
126
ref
subst
362
remove
113
ref
subst
44
ref
45
ref
118
ref
33
ref
350
remove
48
ref
appTerm
absTerm
appTerm
appTerm
48
ref
appTerm
absTerm
1161
def
95
ref
appTerm
1162
def
betaConv
nil
1159
remove
44
ref
334
ref
1161
ref
appTerm
1163
def
nil
cons
1164
def
cons
nil
cons
cons
nil
cons
cons
1165
def
113
ref
subst
349
remove
nil
43
ref
345
remove
1163
ref
appTerm
nil
cons
cons
44
ref
1155
remove
1163
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1165
remove
nil
43
ref
522
ref
nil
cons
1166
def
cons
1167
def
44
ref
525
ref
cons
nil
cons
1168
def
cons
nil
cons
cons
1169
def
62
ref
subst
1169
remove
126
ref
subst
524
remove
eqMp
nil
88
ref
1166
remove
cons
1170
def
90
ref
525
remove
cons
nil
cons
1171
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1172
def
subst
eqMp
eqMp
nil
43
ref
1164
remove
cons
44
ref
1162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1161
remove
nil
cons
cons
338
ref
360
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
1158
remove
cons
369
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
368
ref
90
ref
1156
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1173
def
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
1132
remove
cons
1152
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1151
remove
90
ref
1127
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
1127
remove
cons
44
ref
1118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
1129
remove
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1130
remove
cons
44
ref
1115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
1131
remove
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1174
def
subst
eqMp
192
ref
51
ref
466
ref
202
ref
259
ref
appTerm
1175
def
246
ref
appTerm
1176
def
appTerm
1177
def
195
ref
appTerm
appTerm
575
remove
appTerm
absTerm
1178
def
231
ref
appTerm
betaConv
sym
51
ref
1177
ref
231
ref
appTerm
1179
def
appTerm
refl
nil
75
ref
1103
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
1102
remove
assume
eqMp
1180
def
appThm
nil
75
ref
1179
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
921
ref
nil
581
ref
255
ref
nil
cons
1181
def
cons
1182
def
192
ref
211
ref
nil
cons
1183
def
cons
1184
def
957
ref
207
ref
208
ref
246
ref
appTerm
1185
def
appTerm
1186
def
nil
cons
1187
def
cons
nil
cons
cons
cons
nil
cons
cons
20
ref
629
ref
961
ref
appTerm
1188
def
appTerm
refl
1189
def
306
ref
nil
192
ref
207
ref
207
ref
1003
ref
appTerm
1190
def
appTerm
1191
def
nil
cons
cons
1192
def
581
ref
207
ref
207
ref
207
ref
585
ref
appTerm
1193
def
appTerm
1194
def
appTerm
1195
def
nil
cons
cons
nil
cons
1196
def
cons
nil
cons
cons
192
ref
295
ref
202
ref
1193
ref
appTerm
1197
def
1003
ref
appTerm
appTerm
207
ref
598
ref
appTerm
1198
def
appTerm
absTerm
1199
def
195
ref
appTerm
1200
def
betaConv
581
ref
299
ref
1199
ref
appTerm
1201
def
absTerm
1202
def
585
ref
appTerm
1203
def
betaConv
291
ref
649
ref
581
ref
649
ref
192
ref
629
ref
598
ref
appTerm
1204
def
refl
absThm
appThm
absThm
appThm
appThm
291
ref
306
ref
1025
remove
appThm
209
ref
refl
1205
def
appThm
appThm
291
ref
649
ref
192
ref
306
ref
nil
192
ref
1003
ref
nil
cons
1206
def
cons
1207
def
nil
cons
nil
cons
cons
1208
def
1024
ref
subst
1209
def
1075
ref
trans
appThm
1075
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
nil
192
ref
1000
ref
nil
cons
1210
def
cons
1211
def
nil
cons
nil
cons
cons
1212
def
1024
ref
subst
1213
def
1077
ref
trans
appThm
1077
ref
appThm
nil
192
ref
1010
ref
nil
cons
1214
def
cons
1215
def
581
ref
1214
ref
cons
nil
cons
1216
def
cons
nil
cons
cons
192
ref
20
ref
295
ref
1046
ref
appTerm
1217
def
1030
ref
appTerm
appTerm
982
ref
195
ref
appTerm
1218
def
appTerm
absTerm
1219
def
195
ref
appTerm
1220
def
betaConv
581
ref
299
ref
1219
ref
appTerm
1221
def
absTerm
1222
def
585
ref
appTerm
1223
def
betaConv
nil
299
ref
1222
ref
appTerm
1224
def
axiom
nil
43
ref
1224
remove
nil
cons
cons
44
ref
1223
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1222
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1221
remove
nil
cons
cons
44
ref
1220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1219
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1225
def
subst
1226
def
trans
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
nil
581
ref
1206
remove
cons
nil
cons
1227
def
nil
cons
cons
1228
def
581
ref
295
ref
597
ref
209
ref
appTerm
appTerm
585
ref
appTerm
absTerm
1229
def
585
ref
appTerm
1230
def
betaConv
nil
299
ref
1229
ref
appTerm
1231
def
axiom
nil
43
ref
1231
ref
nil
cons
cons
44
ref
1230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1229
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1232
def
subst
1233
def
1075
ref
trans
appThm
1075
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
nil
581
ref
1210
remove
cons
nil
cons
1234
def
nil
cons
cons
1235
def
1232
ref
subst
1236
def
1077
ref
trans
appThm
1077
ref
appThm
1226
remove
trans
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
397
ref
nil
192
ref
590
ref
cons
1237
def
nil
cons
1238
def
nil
cons
cons
1239
def
1075
ref
subst
1240
def
appThm
1241
def
1075
ref
appThm
appThm
nil
192
ref
686
ref
cons
1242
def
nil
cons
nil
cons
cons
1243
def
1075
ref
subst
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
1241
ref
1077
ref
appThm
nil
1215
ref
581
ref
597
ref
585
ref
appTerm
1244
def
nil
cons
1245
def
cons
nil
cons
1246
def
cons
nil
cons
cons
1247
def
1063
ref
subst
1248
def
trans
appThm
1243
ref
1077
ref
subst
1249
def
appThm
nil
192
ref
202
ref
598
ref
appTerm
1250
def
598
ref
appTerm
1251
def
nil
cons
cons
581
ref
202
ref
1244
ref
appTerm
1252
def
1010
ref
appTerm
1253
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1225
ref
subst
1254
def
trans
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
397
ref
1239
ref
1077
ref
subst
1255
def
appThm
1256
def
1075
ref
appThm
1247
ref
1054
ref
subst
trans
appThm
1249
remove
appThm
1254
ref
trans
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
306
ref
1256
ref
1077
ref
appThm
nil
192
ref
1065
ref
nil
cons
1257
def
cons
1258
def
1246
ref
cons
nil
cons
cons
1259
def
1054
ref
subst
1008
ref
1248
remove
appThm
trans
trans
appThm
nil
192
ref
1047
ref
nil
cons
1260
def
cons
1261
def
nil
cons
nil
cons
cons
1262
def
1075
ref
subst
nil
1261
remove
581
ref
686
ref
cons
nil
cons
1263
def
cons
nil
cons
cons
1054
ref
subst
trans
1008
ref
nil
1242
remove
1263
ref
cons
nil
cons
cons
1063
ref
subst
appThm
trans
appThm
nil
192
ref
1002
ref
1251
ref
appTerm
nil
cons
cons
581
ref
1002
ref
1253
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1225
ref
subst
1254
remove
trans
trans
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
291
ref
649
ref
581
ref
649
ref
192
ref
nil
304
ref
686
ref
cons
nil
cons
nil
cons
cons
322
ref
subst
absThm
appThm
330
ref
320
ref
75
ref
20
ref
118
ref
33
ref
78
ref
absTerm
appTerm
appTerm
78
ref
appTerm
absTerm
1264
def
78
ref
appTerm
1265
def
betaConv
nil
334
ref
1264
ref
appTerm
1266
def
axiom
nil
43
ref
1266
remove
nil
cons
cons
44
ref
1265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1264
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1267
def
subst
1268
def
subst
1269
def
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
1027
ref
appThm
1270
def
291
ref
649
ref
192
ref
nil
304
ref
1214
ref
cons
nil
cons
nil
cons
cons
322
ref
subst
absThm
appThm
1269
ref
trans
appThm
1271
def
1271
ref
1271
ref
1271
remove
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
nil
957
ref
1214
remove
cons
1272
def
1238
ref
cons
nil
cons
cons
1273
def
957
ref
51
ref
632
ref
appTerm
51
ref
295
ref
1250
remove
961
ref
appTerm
1274
def
appTerm
597
ref
630
ref
961
ref
appTerm
1275
def
appTerm
1276
def
appTerm
1277
def
appTerm
295
ref
1276
ref
appTerm
1278
def
630
ref
962
ref
appTerm
1279
def
appTerm
1280
def
appTerm
1281
def
appTerm
absTerm
1282
def
961
ref
appTerm
1283
def
betaConv
192
ref
299
ref
1282
ref
appTerm
1284
def
absTerm
1285
def
195
ref
appTerm
1286
def
betaConv
581
ref
299
ref
1285
ref
appTerm
1287
def
absTerm
1288
def
585
ref
appTerm
1289
def
betaConv
nil
43
ref
299
ref
1288
ref
appTerm
1290
def
nil
cons
cons
1291
def
nil
cons
nil
cons
cons
618
ref
subst
sym
nil
43
ref
465
ref
1290
remove
appTerm
nil
cons
1292
def
cons
1293
def
520
ref
cons
nil
cons
cons
1294
def
62
ref
subst
1294
remove
126
ref
subst
nil
299
ref
581
ref
299
ref
192
ref
299
ref
957
ref
1278
ref
1274
ref
appTerm
1295
def
absTerm
appTerm
absTerm
appTerm
absTerm
1296
def
appTerm
1297
def
axiom
nil
43
ref
1297
ref
nil
cons
1298
def
cons
1299
def
520
ref
cons
nil
cons
cons
1300
def
113
ref
subst
proveHyp
637
ref
nil
639
ref
44
ref
45
ref
1297
ref
appTerm
510
ref
appTerm
1301
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1293
remove
44
ref
641
ref
1301
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
454
ref
810
ref
649
ref
581
ref
649
ref
192
ref
92
ref
649
ref
957
ref
291
ref
957
ref
632
ref
absTerm
1302
def
961
ref
appTerm
betaConv
1303
def
appThm
957
ref
1281
ref
absTerm
1304
def
961
ref
appTerm
betaConv
1305
def
appThm
absThm
appThm
appThm
291
ref
649
ref
957
ref
1303
remove
absThm
appThm
appThm
649
ref
957
ref
1305
remove
absThm
appThm
appThm
appThm
nil
1068
ref
1302
remove
nil
cons
cons
"q"
236
ref
var
1306
def
1304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
320
ref
"q"
30
ref
var
1307
def
20
ref
118
ref
33
ref
51
ref
346
ref
appTerm
1307
ref
varTerm
1308
def
36
ref
appTerm
1309
def
appTerm
absTerm
appTerm
appTerm
51
ref
118
ref
33
ref
346
ref
absTerm
1310
def
appTerm
1311
def
appTerm
118
ref
33
ref
1309
ref
absTerm
1312
def
appTerm
appTerm
appTerm
absTerm
1313
def
1308
ref
appTerm
1314
def
betaConv
128
ref
24
ref
132
remove
constTerm
1315
def
1313
ref
appTerm
1316
def
absTerm
1317
def
129
ref
appTerm
1318
def
betaConv
nil
1315
ref
1317
ref
appTerm
1319
def
axiom
nil
43
ref
1319
remove
nil
cons
cons
44
ref
1318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
153
remove
cons
nil
cons
1320
def
"P"
31
remove
var
1321
def
1317
remove
nil
cons
cons
"x"
30
ref
var
1322
def
129
ref
nil
cons
1323
def
cons
nil
cons
1324
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1316
remove
nil
cons
cons
44
ref
1314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
1313
remove
nil
cons
cons
1322
remove
1308
ref
nil
cons
cons
nil
cons
1325
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
1326
def
subst
eqMp
291
ref
nil
75
ref
632
ref
nil
cons
1327
def
cons
nil
cons
nil
cons
cons
1268
ref
subst
appThm
92
ref
649
ref
957
ref
291
ref
957
ref
1277
ref
absTerm
1328
def
961
ref
appTerm
betaConv
1329
def
appThm
957
ref
1280
ref
absTerm
1330
def
961
ref
appTerm
betaConv
1331
def
appThm
absThm
appThm
appThm
291
ref
649
ref
957
ref
1329
ref
absThm
appThm
appThm
649
ref
957
ref
1331
ref
absThm
appThm
appThm
appThm
nil
1068
ref
1328
ref
nil
cons
1332
def
cons
1306
ref
1330
ref
nil
cons
1333
def
cons
nil
cons
cons
nil
cons
cons
1326
ref
subst
eqMp
appThm
trans
absThm
appThm
92
ref
649
ref
192
ref
291
ref
633
ref
195
ref
appTerm
betaConv
1334
def
appThm
192
ref
51
ref
299
ref
1328
remove
appTerm
1335
def
appTerm
299
ref
1330
remove
appTerm
1336
def
appTerm
absTerm
1337
def
195
ref
appTerm
betaConv
1338
def
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
1334
ref
absThm
appThm
appThm
649
ref
192
ref
1338
remove
absThm
appThm
appThm
appThm
nil
1068
ref
633
remove
nil
cons
1339
def
cons
1306
ref
1337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1326
ref
subst
eqMp
51
ref
634
remove
appTerm
refl
92
ref
649
ref
192
ref
291
ref
192
ref
1335
remove
absTerm
1340
def
195
ref
appTerm
betaConv
1341
def
appThm
192
ref
1336
remove
absTerm
1342
def
195
ref
appTerm
betaConv
1343
def
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
1341
ref
absThm
appThm
appThm
649
ref
192
ref
1343
ref
absThm
appThm
appThm
appThm
nil
1068
ref
1340
ref
nil
cons
1344
def
cons
1306
ref
1342
ref
nil
cons
1345
def
cons
nil
cons
cons
nil
cons
cons
1326
ref
subst
eqMp
appThm
trans
trans
absThm
appThm
92
ref
649
ref
581
ref
291
ref
635
ref
585
ref
appTerm
betaConv
1346
def
appThm
581
ref
51
ref
299
ref
1340
remove
appTerm
1347
def
appTerm
299
ref
1342
remove
appTerm
1348
def
appTerm
absTerm
1349
def
585
ref
appTerm
betaConv
1350
def
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
1346
ref
absThm
appThm
appThm
649
ref
581
ref
1350
remove
absThm
appThm
appThm
appThm
nil
1068
ref
675
remove
cons
1306
ref
1349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1326
ref
subst
eqMp
51
ref
636
remove
appTerm
1351
def
refl
92
ref
649
ref
581
ref
291
ref
581
ref
1347
remove
absTerm
1352
def
585
ref
appTerm
betaConv
1353
def
appThm
581
ref
1348
remove
absTerm
1354
def
585
ref
appTerm
betaConv
1355
def
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
1353
ref
absThm
appThm
appThm
649
ref
581
ref
1355
ref
absThm
appThm
appThm
appThm
nil
1068
ref
1352
ref
nil
cons
1356
def
cons
1306
ref
1354
ref
nil
cons
1357
def
cons
nil
cons
cons
nil
cons
cons
1326
remove
subst
eqMp
appThm
trans
trans
appThm
appThm
650
remove
nil
75
ref
1298
ref
cons
nil
cons
nil
cons
cons
611
ref
subst
1358
def
appThm
appThm
sym
nil
43
ref
465
ref
1351
remove
51
ref
299
ref
1352
remove
appTerm
1359
def
appTerm
299
ref
1354
remove
appTerm
1360
def
appTerm
1361
def
appTerm
appTerm
1362
def
nil
cons
1363
def
cons
44
ref
641
remove
465
ref
1297
remove
appTerm
1364
def
appTerm
nil
cons
1365
def
cons
nil
cons
cons
nil
cons
cons
1366
def
62
ref
subst
1366
remove
126
ref
subst
nil
639
ref
44
ref
1364
remove
nil
cons
1367
def
cons
nil
cons
cons
nil
cons
cons
1368
def
62
ref
subst
1368
remove
126
ref
subst
1358
remove
1300
ref
62
ref
subst
1300
remove
126
ref
subst
nil
639
ref
44
ref
1361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
43
ref
521
ref
510
ref
appTerm
1369
def
nil
cons
1370
def
cons
1371
def
44
ref
20
ref
465
ref
53
remove
appTerm
appTerm
691
ref
604
ref
appTerm
465
ref
48
ref
appTerm
1372
def
appTerm
appTerm
nil
cons
1373
def
cons
nil
cons
1374
def
cons
nil
cons
cons
1375
def
62
ref
subst
1375
remove
126
ref
subst
20
ref
"_530"
16
ref
var
1376
def
20
ref
465
ref
51
ref
1376
remove
varTerm
1377
def
appTerm
48
ref
appTerm
appTerm
appTerm
691
ref
465
ref
1377
remove
appTerm
appTerm
1372
ref
appTerm
appTerm
absTerm
1378
def
46
ref
appTerm
1379
def
appTerm
refl
1380
def
1378
ref
510
ref
appTerm
betaConv
appThm
92
ref
1379
remove
betaConv
appThm
1381
def
20
ref
465
ref
822
ref
48
ref
appTerm
appTerm
appTerm
901
ref
1372
ref
appTerm
appTerm
refl
appThm
trans
1378
remove
refl
1382
def
1369
remove
assume
1383
def
appThm
eqMp
sym
92
ref
810
ref
85
ref
826
ref
subst
1384
def
appThm
811
ref
trans
appThm
903
remove
1372
ref
refl
1385
def
appThm
nil
75
ref
1372
ref
nil
cons
1386
def
cons
nil
cons
nil
cons
cons
1387
def
754
ref
subst
trans
appThm
766
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
1370
ref
cons
1388
def
90
ref
1373
ref
cons
nil
cons
1389
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
521
ref
67
ref
appTerm
1390
def
nil
cons
1391
def
cons
1392
def
1374
remove
cons
nil
cons
cons
1393
def
62
ref
subst
1393
remove
126
ref
subst
1380
remove
"_528"
16
ref
var
1394
def
20
ref
465
ref
51
ref
1394
remove
varTerm
1395
def
appTerm
48
ref
appTerm
appTerm
appTerm
691
ref
465
ref
1395
remove
appTerm
appTerm
1372
ref
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
1381
remove
20
ref
465
ref
331
ref
48
ref
appTerm
appTerm
appTerm
910
ref
1372
ref
appTerm
appTerm
refl
appThm
trans
1382
remove
1390
remove
assume
1396
def
appThm
eqMp
sym
92
ref
810
ref
85
ref
341
ref
subst
1397
def
appThm
appThm
915
remove
1385
ref
appThm
1387
ref
735
ref
subst
trans
appThm
nil
338
ref
1386
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
1398
def
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
1391
remove
cons
1399
def
1389
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
769
ref
46
ref
appTerm
1400
def
betaConv
772
ref
nil
773
ref
44
ref
1400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
774
ref
616
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1401
def
nil
1399
ref
90
ref
1370
remove
cons
1402
def
778
ref
1373
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
1403
def
subst
873
ref
nil
676
ref
nil
cons
nil
cons
cons
320
ref
92
ref
810
ref
118
ref
refl
1404
def
nil
"t"
30
ref
var
1405
def
120
remove
nil
cons
1406
def
cons
nil
cons
nil
cons
cons
168
remove
"B"
17
ref
cons
1407
def
nil
cons
cons
8
ref
cons
1408
def
"t"
13
ref
var
1409
def
15
ref
0
ref
13
ref
22
remove
nil
cons
cons
opType
constTerm
1410
def
1409
ref
varTerm
1411
def
appTerm
33
ref
1411
ref
36
ref
appTerm
absTerm
1412
def
appTerm
1413
def
absTerm
1414
def
1411
ref
appTerm
1415
def
betaConv
41
ref
refl
1416
def
1409
ref
1413
remove
assume
sym
1410
ref
1412
remove
appTerm
1411
ref
appTerm
1417
def
assume
sym
deductAntisym
absThm
appThm
nil
41
ref
1409
remove
1417
remove
absTerm
1418
def
appTerm
1419
def
axiom
1420
def
eqMp
nil
43
ref
41
ref
1414
ref
appTerm
nil
cons
cons
44
ref
1415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
1414
remove
nil
cons
cons
116
ref
1411
ref
nil
cons
cons
nil
cons
1421
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
1422
def
appThm
appThm
appThm
32
ref
33
ref
465
ref
123
ref
appTerm
absTerm
1423
def
appTerm
refl
appThm
sym
nil
128
ref
1406
ref
cons
nil
cons
nil
cons
cons
1424
def
128
ref
20
ref
465
ref
1311
remove
appTerm
appTerm
32
ref
33
ref
465
ref
346
ref
appTerm
absTerm
1425
def
appTerm
appTerm
absTerm
1426
def
129
ref
appTerm
1427
def
betaConv
nil
1315
ref
1426
ref
appTerm
1428
def
axiom
nil
43
ref
1428
remove
nil
cons
cons
44
ref
1427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
1426
remove
nil
cons
cons
1324
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
subst
1429
def
subst
372
ref
refl
1430
def
581
ref
810
ref
1346
remove
appThm
nil
303
ref
1339
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
192
ref
810
ref
1334
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
43
ref
1359
remove
nil
cons
cons
44
ref
1360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1403
remove
subst
873
ref
nil
303
ref
1356
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
581
ref
810
ref
1353
remove
appThm
nil
303
ref
1344
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
192
ref
810
ref
1341
remove
appThm
nil
303
ref
1332
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
957
ref
810
ref
1329
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
303
ref
1357
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
581
ref
810
ref
1355
remove
appThm
nil
303
ref
1345
remove
cons
nil
cons
nil
cons
cons
1429
ref
subst
1430
ref
192
ref
810
ref
1343
remove
appThm
nil
303
ref
1333
remove
cons
nil
cons
nil
cons
cons
1429
remove
subst
1430
ref
957
ref
810
ref
1331
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
691
ref
372
ref
581
ref
372
ref
192
ref
465
ref
632
remove
appTerm
1431
def
absTerm
1432
def
appTerm
absTerm
1433
def
appTerm
appTerm
refl
92
ref
873
ref
1430
ref
581
ref
581
ref
372
ref
192
ref
372
ref
957
ref
465
ref
1277
ref
appTerm
1434
def
absTerm
1435
def
appTerm
absTerm
1436
def
appTerm
absTerm
1437
def
585
ref
appTerm
betaConv
1438
def
absThm
appThm
appThm
1430
ref
581
ref
581
ref
372
ref
192
ref
372
ref
957
ref
465
ref
1280
ref
appTerm
1439
def
absTerm
1440
def
appTerm
absTerm
1441
def
appTerm
absTerm
1442
def
585
ref
appTerm
betaConv
1443
def
absThm
appThm
appThm
appThm
1430
ref
581
ref
873
ref
1438
remove
appThm
1443
remove
appThm
absThm
appThm
appThm
nil
1068
ref
1437
remove
nil
cons
cons
1306
ref
1442
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
320
ref
1307
ref
20
ref
691
ref
32
ref
1310
remove
appTerm
1444
def
appTerm
32
ref
1312
remove
appTerm
1445
def
appTerm
appTerm
32
ref
33
ref
691
ref
346
ref
appTerm
1309
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1446
def
1308
ref
appTerm
1447
def
betaConv
128
ref
1315
ref
1446
ref
appTerm
1448
def
absTerm
1449
def
129
ref
appTerm
1450
def
betaConv
nil
1315
ref
1449
ref
appTerm
1451
def
axiom
nil
43
ref
1451
remove
nil
cons
cons
44
ref
1450
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
1449
remove
nil
cons
cons
1324
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1448
remove
nil
cons
cons
44
ref
1447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
1446
remove
nil
cons
cons
1325
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
1452
def
subst
eqMp
1430
ref
581
ref
92
ref
873
ref
1430
ref
192
ref
1436
ref
195
ref
appTerm
betaConv
1453
def
absThm
appThm
appThm
1430
ref
192
ref
1441
ref
195
ref
appTerm
betaConv
1454
def
absThm
appThm
appThm
appThm
1430
ref
192
ref
873
ref
1453
remove
appThm
1454
remove
appThm
absThm
appThm
appThm
nil
1068
ref
1436
remove
nil
cons
cons
1306
ref
1441
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1452
ref
subst
eqMp
1430
ref
192
ref
92
ref
873
ref
1430
ref
957
ref
1435
ref
961
ref
appTerm
betaConv
1455
def
absThm
appThm
appThm
1430
ref
957
ref
1440
ref
961
ref
appTerm
betaConv
1456
def
absThm
appThm
appThm
appThm
1430
ref
957
ref
873
ref
1455
remove
appThm
1456
remove
appThm
absThm
appThm
appThm
nil
1068
ref
1435
remove
nil
cons
cons
1306
ref
1440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1452
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
92
ref
873
ref
1430
ref
581
ref
1433
ref
585
ref
appTerm
betaConv
1457
def
absThm
appThm
appThm
1430
ref
581
ref
581
ref
372
ref
192
ref
372
ref
957
ref
691
ref
1434
ref
appTerm
1439
ref
appTerm
1458
def
absTerm
1459
def
appTerm
absTerm
1460
def
appTerm
absTerm
1461
def
585
ref
appTerm
betaConv
1462
def
absThm
appThm
appThm
appThm
1430
ref
581
ref
873
ref
1457
remove
appThm
1462
remove
appThm
absThm
appThm
appThm
nil
1068
ref
1433
remove
nil
cons
cons
1306
ref
1461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1452
ref
subst
eqMp
1430
ref
581
ref
92
ref
873
ref
1430
ref
192
ref
1432
ref
195
ref
appTerm
betaConv
1463
def
absThm
appThm
appThm
1430
ref
192
ref
1460
ref
195
ref
appTerm
betaConv
1464
def
absThm
appThm
appThm
appThm
1430
ref
192
ref
873
ref
1463
remove
appThm
1464
remove
appThm
absThm
appThm
appThm
nil
1068
ref
1432
remove
nil
cons
cons
1306
ref
1460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1452
remove
subst
eqMp
1430
ref
192
ref
92
ref
691
ref
1431
ref
appTerm
1465
def
refl
1466
def
1430
ref
957
ref
1459
ref
961
ref
appTerm
betaConv
1467
def
absThm
appThm
appThm
appThm
1430
ref
957
ref
1466
remove
1467
remove
appThm
absThm
appThm
appThm
nil
1306
remove
1459
remove
nil
cons
cons
43
ref
1431
ref
nil
cons
1468
def
cons
1469
def
nil
cons
cons
nil
cons
cons
320
ref
1307
remove
20
ref
691
ref
46
ref
appTerm
1470
def
1445
remove
appTerm
appTerm
32
ref
33
ref
1470
ref
1309
remove
appTerm
absTerm
appTerm
appTerm
absTerm
1471
def
1308
remove
appTerm
1472
def
betaConv
43
ref
1315
ref
1471
ref
appTerm
1473
def
absTerm
1474
def
46
ref
appTerm
1475
def
betaConv
nil
334
ref
1474
ref
appTerm
1476
def
axiom
nil
43
ref
1476
remove
nil
cons
cons
44
ref
1475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1474
remove
nil
cons
cons
616
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1473
remove
nil
cons
cons
44
ref
1472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
1471
remove
nil
cons
cons
1325
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
1362
remove
assume
eqMp
nil
43
ref
372
ref
581
ref
372
ref
192
ref
372
ref
957
ref
1465
remove
1458
ref
appTerm
1477
def
absTerm
1478
def
appTerm
1479
def
absTerm
1480
def
appTerm
1481
def
absTerm
1482
def
appTerm
1483
def
nil
cons
cons
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
581
ref
45
ref
1482
ref
585
ref
appTerm
1484
def
appTerm
510
ref
appTerm
1485
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
1485
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1484
ref
nil
cons
1486
def
cons
520
ref
cons
nil
cons
cons
1487
def
62
ref
subst
1487
remove
126
ref
subst
1484
ref
betaConv
1484
remove
assume
eqMp
nil
43
ref
1481
ref
nil
cons
cons
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
192
ref
45
ref
1480
ref
195
ref
appTerm
1488
def
appTerm
510
ref
appTerm
1489
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
1489
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1488
ref
nil
cons
1490
def
cons
520
ref
cons
nil
cons
cons
1491
def
62
ref
subst
1491
remove
126
ref
subst
1488
ref
betaConv
1488
remove
assume
eqMp
nil
43
ref
1479
ref
nil
cons
cons
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
957
ref
45
ref
1478
ref
961
ref
appTerm
1492
def
appTerm
510
ref
appTerm
1493
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
957
ref
nil
75
ref
1493
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
1492
ref
nil
cons
1494
def
cons
520
ref
cons
nil
cons
cons
1495
def
62
ref
subst
1495
remove
126
ref
subst
1492
ref
betaConv
1492
remove
assume
eqMp
nil
43
ref
1477
remove
nil
cons
1496
def
cons
520
ref
cons
nil
cons
cons
1497
def
113
ref
subst
proveHyp
1497
ref
62
ref
subst
1497
remove
126
ref
subst
nil
43
ref
1458
remove
nil
cons
1498
def
cons
520
ref
cons
nil
cons
cons
1499
def
62
ref
subst
1499
remove
126
ref
subst
nil
43
ref
1439
ref
nil
cons
1500
def
cons
520
ref
cons
nil
cons
cons
1501
def
62
ref
subst
1501
remove
126
ref
subst
nil
"_2194"
186
ref
var
1502
def
590
ref
cons
1503
def
"_2193"
186
ref
var
1504
def
1275
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
192
ref
295
ref
202
ref
1504
ref
varTerm
1505
def
appTerm
195
ref
appTerm
appTerm
630
ref
1505
ref
appTerm
appTerm
absTerm
1506
def
1502
remove
varTerm
1507
def
appTerm
1508
def
betaConv
635
ref
1505
ref
appTerm
1509
def
betaConv
nil
639
ref
44
ref
1509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
676
ref
304
ref
1505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1506
ref
appTerm
nil
cons
cons
44
ref
1508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1506
remove
nil
cons
cons
304
ref
1507
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1510
def
subst
nil
43
ref
295
ref
202
ref
1275
ref
appTerm
585
ref
appTerm
1511
def
appTerm
1512
def
1276
ref
appTerm
1513
def
nil
cons
cons
44
ref
1512
remove
1279
ref
appTerm
1514
def
nil
cons
cons
nil
cons
1515
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
"_2197"
186
ref
var
1516
def
590
ref
cons
"_2196"
186
ref
var
1517
def
973
ref
cons
"_2195"
186
ref
var
1518
def
409
ref
cons
nil
cons
cons
cons
nil
cons
cons
957
ref
295
ref
202
ref
1518
remove
varTerm
1519
def
appTerm
1520
def
202
ref
1517
remove
varTerm
1521
def
appTerm
961
ref
appTerm
appTerm
appTerm
202
ref
1520
ref
1521
ref
appTerm
appTerm
961
ref
appTerm
appTerm
absTerm
1522
def
1516
remove
varTerm
1523
def
appTerm
1524
def
betaConv
192
ref
299
ref
957
ref
295
ref
1520
ref
1275
ref
appTerm
appTerm
202
ref
1520
remove
195
ref
appTerm
appTerm
961
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1525
def
1521
ref
appTerm
1526
def
betaConv
1296
ref
1519
ref
appTerm
1527
def
betaConv
nil
1299
ref
44
ref
1527
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
1296
ref
nil
cons
cons
1528
def
304
ref
1519
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1525
ref
appTerm
nil
cons
cons
44
ref
1526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1525
remove
nil
cons
cons
304
ref
1521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1522
ref
appTerm
nil
cons
cons
44
ref
1524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1522
remove
nil
cons
cons
304
ref
1523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
295
ref
630
ref
202
ref
961
ref
appTerm
1529
def
585
ref
appTerm
1530
def
appTerm
1531
def
appTerm
1532
def
1511
ref
appTerm
1533
def
nil
cons
cons
44
ref
1532
remove
1279
ref
appTerm
1534
def
nil
cons
cons
nil
cons
1535
def
cons
nil
cons
cons
126
ref
subst
proveHyp
661
ref
nil
664
remove
44
ref
295
ref
1530
ref
appTerm
962
ref
appTerm
1536
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
1503
remove
1504
remove
973
ref
cons
nil
cons
cons
nil
cons
cons
1510
remove
subst
eqMp
nil
43
ref
684
remove
1536
remove
appTerm
nil
cons
cons
1535
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_2209"
186
ref
var
1537
def
962
ref
nil
cons
1538
def
cons
"_2207"
186
ref
var
1539
def
1530
ref
nil
cons
1540
def
cons
"_2208"
186
ref
var
1541
def
409
ref
cons
"_2206"
186
ref
var
1542
def
409
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
690
ref
691
ref
465
ref
295
ref
1542
remove
varTerm
1543
def
appTerm
1541
remove
varTerm
1544
def
appTerm
1545
def
appTerm
1546
def
appTerm
1547
def
465
ref
295
ref
1539
remove
varTerm
1548
def
appTerm
1537
remove
varTerm
1549
def
appTerm
1550
def
appTerm
1551
def
appTerm
nil
cons
cons
705
ref
295
ref
202
ref
1543
remove
appTerm
1548
remove
appTerm
appTerm
202
ref
1544
remove
appTerm
1549
remove
appTerm
appTerm
1552
def
nil
cons
1553
def
cons
nil
cons
cons
nil
cons
cons
795
ref
subst
454
ref
nil
690
ref
1551
ref
nil
cons
1554
def
cons
705
ref
1546
remove
nil
cons
1555
def
cons
nil
cons
cons
nil
cons
cons
833
ref
subst
291
ref
nil
705
ref
1545
ref
nil
cons
1556
def
cons
nil
cons
1557
def
nil
cons
cons
836
ref
subst
appThm
nil
705
ref
1550
ref
nil
cons
1558
def
cons
nil
cons
1559
def
nil
cons
cons
836
ref
subst
appThm
trans
appThm
1552
ref
refl
appThm
trans
1547
remove
refl
nil
44
ref
1553
ref
cons
1560
def
43
ref
1554
ref
cons
nil
cons
cons
nil
cons
cons
881
ref
subst
appThm
nil
783
ref
1554
remove
cons
1560
ref
43
ref
1555
remove
cons
nil
cons
cons
cons
nil
cons
cons
882
ref
subst
trans
nil
690
ref
691
ref
1551
remove
appTerm
1552
remove
appTerm
nil
cons
1561
def
cons
1557
remove
cons
nil
cons
cons
916
ref
subst
nil
43
ref
1556
ref
cons
44
ref
1561
ref
cons
nil
cons
cons
nil
cons
cons
1562
def
62
ref
subst
1562
remove
126
ref
subst
nil
690
ref
1553
ref
cons
1559
remove
cons
nil
cons
cons
916
ref
subst
nil
43
ref
1558
ref
cons
1560
remove
nil
cons
cons
nil
cons
cons
1563
def
62
ref
subst
1563
remove
126
ref
subst
397
ref
1545
remove
assume
appThm
1550
remove
assume
appThm
eqMp
nil
88
ref
1558
remove
cons
90
ref
1553
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
1556
remove
cons
90
ref
1561
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
43
ref
51
ref
1533
remove
appTerm
1534
remove
appTerm
nil
cons
cons
1515
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"z"
186
ref
var
1564
def
1279
remove
nil
cons
cons
1565
def
"y"
186
ref
var
1566
def
1511
remove
nil
cons
1567
def
cons
304
ref
1531
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
690
ref
691
ref
465
ref
295
ref
1154
ref
appTerm
1568
def
1566
ref
varTerm
1569
def
appTerm
1570
def
appTerm
1571
def
appTerm
1572
def
465
ref
1568
ref
1564
ref
varTerm
1573
def
appTerm
1574
def
appTerm
1575
def
appTerm
nil
cons
cons
705
ref
295
ref
1569
ref
appTerm
1576
def
1573
remove
appTerm
1577
def
nil
cons
1578
def
cons
nil
cons
cons
nil
cons
cons
795
ref
subst
454
ref
nil
690
ref
1575
remove
nil
cons
1579
def
cons
705
ref
1571
remove
nil
cons
1580
def
cons
nil
cons
cons
nil
cons
cons
833
ref
subst
291
ref
nil
705
ref
1570
ref
nil
cons
cons
nil
cons
nil
cons
cons
836
ref
subst
appThm
nil
705
ref
1574
remove
nil
cons
cons
nil
cons
nil
cons
cons
836
ref
subst
appThm
trans
appThm
1577
remove
refl
appThm
trans
1572
remove
refl
nil
44
ref
1578
remove
cons
1581
def
43
ref
1579
ref
cons
nil
cons
cons
nil
cons
cons
881
ref
subst
appThm
nil
783
ref
1579
remove
cons
1581
remove
43
ref
1580
remove
cons
nil
cons
cons
cons
nil
cons
cons
882
ref
subst
trans
320
ref
nil
43
ref
465
ref
157
ref
appTerm
1582
def
nil
cons
1583
def
cons
1584
def
44
ref
691
ref
1582
remove
appTerm
691
ref
465
ref
155
remove
"z"
9
ref
var
1585
def
varTerm
1586
def
appTerm
1587
def
appTerm
appTerm
159
remove
1586
ref
appTerm
1588
def
appTerm
1589
def
appTerm
nil
cons
1590
def
cons
nil
cons
1591
def
cons
nil
cons
cons
1592
def
62
ref
subst
1592
remove
126
ref
subst
873
ref
810
ref
nil
1584
remove
44
ref
158
remove
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
157
ref
nil
cons
1593
def
cons
1594
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
811
ref
trans
appThm
1589
ref
refl
appThm
nil
75
ref
1589
remove
nil
cons
cons
nil
cons
nil
cons
cons
754
ref
subst
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
1583
ref
cons
90
ref
1590
ref
cons
nil
cons
1595
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
1593
ref
cons
1591
remove
cons
nil
cons
cons
1596
def
62
ref
subst
1596
remove
126
ref
subst
873
ref
810
ref
154
ref
refl
157
ref
assume
appThm
1597
def
156
ref
refl
appThm
nil
172
ref
nil
cons
cons
321
remove
subst
trans
appThm
820
ref
trans
appThm
873
ref
810
ref
1597
remove
1586
ref
refl
appThm
appThm
appThm
1588
ref
refl
appThm
appThm
nil
75
ref
691
ref
465
ref
1588
ref
appTerm
appTerm
1588
ref
appTerm
nil
cons
1598
def
cons
nil
cons
nil
cons
cons
735
ref
subst
trans
sym
nil
43
ref
20
ref
1588
ref
appTerm
1599
def
510
ref
appTerm
1600
def
nil
cons
1601
def
cons
44
ref
1598
ref
cons
nil
cons
1602
def
cons
nil
cons
cons
1603
def
62
ref
subst
1603
remove
126
ref
subst
20
ref
"_626"
16
ref
var
1604
def
691
ref
465
ref
1604
remove
varTerm
1605
def
appTerm
appTerm
1605
remove
appTerm
absTerm
1606
def
1588
ref
appTerm
1607
def
appTerm
refl
1608
def
1606
ref
510
ref
appTerm
betaConv
appThm
92
ref
1607
remove
betaConv
appThm
1609
def
901
remove
510
ref
appTerm
refl
appThm
trans
1606
remove
refl
1610
def
1600
remove
assume
appThm
eqMp
sym
nil
75
ref
807
ref
nil
cons
cons
nil
cons
nil
cons
cons
946
ref
subst
811
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
1601
ref
cons
90
ref
1598
ref
cons
nil
cons
1611
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
1599
remove
67
ref
appTerm
1612
def
nil
cons
1613
def
cons
1602
remove
cons
nil
cons
cons
1614
def
62
ref
subst
1614
remove
126
ref
subst
1608
remove
"_624"
16
ref
var
1615
def
691
ref
465
ref
1615
remove
varTerm
1616
def
appTerm
appTerm
1616
remove
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
1609
remove
910
remove
67
ref
appTerm
refl
appThm
trans
1610
remove
1612
remove
assume
appThm
eqMp
sym
nil
75
ref
818
ref
nil
cons
cons
nil
cons
nil
cons
cons
938
ref
subst
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
1613
remove
cons
1617
def
1611
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
769
ref
1588
ref
appTerm
1618
def
betaConv
772
ref
nil
773
ref
44
ref
1618
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
774
ref
338
ref
1588
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
1617
remove
90
ref
1601
remove
cons
778
ref
1598
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
1594
ref
1595
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
75
ref
934
remove
607
ref
appTerm
absTerm
1619
def
157
ref
appTerm
1620
def
betaConv
nil
334
ref
1619
ref
appTerm
1621
def
axiom
1622
def
nil
43
ref
1621
remove
nil
cons
cons
1623
def
44
ref
1620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1619
ref
nil
cons
cons
1624
def
338
ref
1593
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
1594
remove
90
ref
1583
remove
cons
778
ref
1590
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
1625
def
subst
eqMp
eqMp
nil
43
ref
51
ref
1513
remove
appTerm
1514
remove
appTerm
nil
cons
cons
44
ref
1280
remove
nil
cons
1626
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1565
remove
1566
ref
1276
ref
nil
cons
1627
def
cons
304
ref
1567
remove
cons
nil
cons
cons
cons
nil
cons
cons
1625
ref
subst
eqMp
nil
43
ref
1626
ref
cons
1628
def
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1628
remove
nil
cons
nil
cons
cons
952
ref
subst
1439
remove
assume
eqMp
eqMp
eqMp
nil
88
ref
1500
ref
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
1434
ref
nil
cons
1629
def
cons
520
ref
cons
nil
cons
cons
1630
def
62
ref
subst
1630
remove
126
ref
subst
nil
"_2192"
186
ref
var
1631
def
973
ref
cons
"_2191"
186
ref
var
1632
def
409
ref
cons
"_2190"
186
ref
var
1633
def
590
ref
cons
nil
cons
cons
cons
nil
cons
cons
957
ref
295
ref
202
ref
1633
remove
varTerm
1634
def
appTerm
1635
def
202
ref
1632
remove
varTerm
1636
def
appTerm
961
ref
appTerm
appTerm
appTerm
202
ref
1635
ref
1636
ref
appTerm
appTerm
961
ref
appTerm
appTerm
absTerm
1637
def
1631
remove
varTerm
1638
def
appTerm
1639
def
betaConv
192
ref
299
ref
957
ref
295
ref
1635
ref
1275
ref
appTerm
appTerm
202
ref
1635
remove
195
ref
appTerm
appTerm
961
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1640
def
1636
ref
appTerm
1641
def
betaConv
1296
remove
1634
ref
appTerm
1642
def
betaConv
nil
1299
remove
44
ref
1642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
1528
remove
304
ref
1634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1640
ref
appTerm
nil
cons
cons
44
ref
1641
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1640
remove
nil
cons
cons
304
ref
1636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1637
ref
appTerm
nil
cons
cons
44
ref
1639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1637
remove
nil
cons
cons
304
ref
1638
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
1295
ref
nil
cons
cons
44
ref
1278
remove
1276
remove
appTerm
1643
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
304
ref
1627
ref
cons
nil
cons
1644
def
nil
cons
cons
320
ref
136
remove
subst
1645
def
subst
eqMp
nil
43
ref
51
ref
1295
remove
appTerm
1643
remove
appTerm
nil
cons
cons
44
ref
1277
remove
nil
cons
1646
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
1627
remove
cons
1566
ref
1274
remove
nil
cons
cons
1644
remove
cons
cons
nil
cons
cons
1625
ref
subst
eqMp
nil
43
ref
1646
ref
cons
1647
def
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1647
remove
nil
cons
nil
cons
cons
952
ref
subst
1434
remove
assume
eqMp
eqMp
eqMp
nil
88
ref
1629
remove
cons
1648
def
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
1648
remove
90
ref
1500
remove
cons
778
ref
519
remove
cons
nil
cons
1649
def
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
eqMp
nil
88
ref
1498
ref
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
1469
remove
520
ref
cons
nil
cons
cons
1650
def
62
ref
subst
1650
remove
126
ref
subst
nil
"_2184"
186
ref
var
1651
def
409
ref
cons
"_2183"
186
ref
var
1652
def
590
ref
cons
nil
cons
cons
nil
cons
cons
192
ref
295
ref
202
ref
1652
remove
varTerm
1653
def
appTerm
195
ref
appTerm
appTerm
630
ref
1653
ref
appTerm
appTerm
absTerm
1654
def
1651
remove
varTerm
1655
def
appTerm
1656
def
betaConv
635
ref
1653
ref
appTerm
1657
def
betaConv
nil
639
ref
44
ref
1657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
676
ref
304
ref
1653
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
1654
ref
appTerm
nil
cons
cons
44
ref
1656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1654
remove
nil
cons
cons
304
ref
1655
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
1327
ref
cons
1658
def
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1658
remove
nil
cons
nil
cons
cons
952
ref
subst
1431
remove
assume
eqMp
eqMp
eqMp
nil
88
ref
1468
remove
cons
1659
def
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
1659
remove
90
ref
1498
remove
cons
1649
ref
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
eqMp
nil
88
ref
1496
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
1494
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
1478
ref
1154
ref
appTerm
appTerm
510
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
1479
remove
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1478
remove
nil
cons
cons
953
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
1490
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
1480
ref
1154
ref
appTerm
appTerm
510
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
1481
remove
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1480
remove
nil
cons
cons
953
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
1486
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
1482
ref
1154
ref
appTerm
appTerm
510
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
1483
remove
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1482
remove
nil
cons
cons
953
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
1298
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
954
ref
90
ref
1367
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
1363
remove
cons
90
ref
1365
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
1292
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
1291
remove
44
ref
1289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1288
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1287
remove
nil
cons
cons
44
ref
1286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1285
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1284
remove
nil
cons
cons
44
ref
1283
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1282
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1660
def
nil
88
ref
1327
remove
cons
90
ref
1281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1661
def
392
ref
subst
proveHyp
1662
def
nil
88
ref
1646
remove
cons
90
ref
1626
remove
cons
nil
cons
cons
nil
cons
cons
1663
def
104
ref
subst
proveHyp
1664
def
subst
appThm
nil
957
ref
686
remove
cons
nil
cons
nil
cons
cons
1664
ref
subst
597
ref
refl
1665
def
nil
957
ref
409
ref
cons
1666
def
1237
ref
1045
ref
cons
1667
def
cons
nil
cons
cons
1662
remove
1663
remove
392
ref
subst
proveHyp
1668
def
subst
appThm
trans
appThm
nil
304
ref
597
ref
597
ref
1010
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
1669
def
appThm
1670
def
1670
remove
nil
75
ref
299
ref
581
ref
299
ref
192
ref
295
ref
1253
remove
appTerm
1251
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
75
ref
20
ref
556
ref
78
ref
appTerm
appTerm
78
ref
appTerm
absTerm
1671
def
78
ref
appTerm
1672
def
betaConv
nil
334
ref
1671
ref
appTerm
1673
def
axiom
nil
43
ref
1673
remove
nil
cons
cons
44
ref
1672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1671
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
1669
remove
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
299
ref
581
ref
299
ref
192
ref
1204
remove
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
90
ref
51
ref
295
ref
1028
ref
appTerm
209
ref
appTerm
1674
def
appTerm
51
ref
299
ref
192
ref
295
ref
1017
ref
1003
ref
appTerm
appTerm
1003
ref
appTerm
absTerm
appTerm
1675
def
appTerm
51
ref
299
ref
192
ref
295
ref
1017
ref
1000
ref
appTerm
appTerm
1000
ref
appTerm
absTerm
appTerm
1676
def
appTerm
51
ref
299
ref
192
ref
295
ref
202
ref
1003
ref
appTerm
1677
def
209
ref
appTerm
appTerm
1003
ref
appTerm
absTerm
appTerm
1678
def
appTerm
51
ref
299
ref
192
ref
295
ref
202
ref
1000
ref
appTerm
209
ref
appTerm
appTerm
1000
ref
appTerm
absTerm
appTerm
1679
def
appTerm
51
ref
299
ref
1202
ref
appTerm
1680
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
295
ref
1197
ref
1000
ref
appTerm
appTerm
208
ref
598
ref
appTerm
1681
def
appTerm
absTerm
1682
def
appTerm
1683
def
absTerm
1684
def
appTerm
1685
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
295
ref
202
ref
208
ref
585
ref
appTerm
1686
def
appTerm
1687
def
1003
ref
appTerm
appTerm
1681
ref
appTerm
absTerm
1688
def
appTerm
1689
def
absTerm
1690
def
appTerm
1691
def
appTerm
299
ref
581
ref
299
ref
192
ref
295
ref
1687
ref
1000
ref
appTerm
appTerm
207
ref
1047
ref
appTerm
1692
def
appTerm
absTerm
1693
def
appTerm
1694
def
absTerm
1695
def
appTerm
1696
def
appTerm
1697
def
appTerm
1698
def
appTerm
1699
def
appTerm
1700
def
appTerm
1701
def
appTerm
1702
def
appTerm
1703
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1674
remove
nil
cons
cons
90
ref
1703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1675
remove
nil
cons
cons
90
ref
1702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1676
remove
nil
cons
cons
90
ref
1701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1678
remove
nil
cons
cons
90
ref
1700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1679
remove
nil
cons
cons
90
ref
1699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
1704
def
nil
88
ref
1680
remove
nil
cons
1705
def
cons
90
ref
1698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1706
def
104
ref
subst
proveHyp
nil
43
ref
1705
remove
cons
44
ref
1203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1202
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1201
remove
nil
cons
cons
44
ref
1200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1199
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1707
def
subst
207
ref
refl
1708
def
nil
192
ref
1190
ref
nil
cons
cons
1709
def
581
ref
1194
ref
nil
cons
1710
def
cons
nil
cons
1711
def
cons
nil
cons
cons
1712
def
1707
ref
subst
1708
ref
nil
1207
ref
581
ref
1193
ref
nil
cons
1713
def
cons
nil
cons
1714
def
cons
nil
cons
cons
1715
def
1707
ref
subst
1708
ref
1707
ref
appThm
trans
1716
def
appThm
trans
appThm
trans
appThm
207
ref
207
ref
207
ref
207
ref
961
ref
appTerm
1717
def
appTerm
1718
def
appTerm
1719
def
appTerm
refl
1720
def
appThm
nil
192
ref
1719
remove
nil
cons
cons
1721
def
581
ref
207
ref
207
ref
1198
ref
appTerm
1722
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
291
ref
92
ref
306
ref
1240
ref
appThm
1075
ref
appThm
appThm
1218
ref
refl
1723
def
appThm
appThm
92
ref
306
ref
1255
ref
appThm
1077
ref
appThm
appThm
1723
ref
appThm
appThm
sym
291
ref
92
ref
306
ref
1239
ref
192
ref
295
ref
1010
ref
appTerm
571
ref
211
ref
appTerm
1724
def
195
ref
appTerm
1725
def
appTerm
1726
def
absTerm
1727
def
195
ref
appTerm
1728
def
betaConv
649
ref
192
ref
1726
remove
assume
sym
295
ref
1725
ref
appTerm
1010
ref
appTerm
1729
def
assume
sym
deductAntisym
absThm
appThm
nil
299
ref
192
ref
1729
remove
absTerm
appTerm
axiom
eqMp
nil
43
ref
299
ref
1727
ref
appTerm
nil
cons
cons
44
ref
1728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1727
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1730
def
subst
1731
def
appThm
1732
def
1730
ref
appThm
appThm
1723
ref
appThm
appThm
92
ref
306
ref
1008
ref
1731
ref
appThm
1733
def
appThm
1008
ref
1730
ref
appThm
1734
def
appThm
1735
def
appThm
1723
ref
appThm
appThm
sym
291
ref
92
ref
nil
1666
ref
1237
ref
581
ref
1183
ref
cons
1736
def
nil
cons
1737
def
cons
1738
def
cons
nil
cons
cons
1739
def
957
ref
20
ref
295
ref
980
ref
appTerm
1740
def
981
ref
appTerm
appTerm
984
ref
662
ref
961
ref
appTerm
1741
def
appTerm
appTerm
absTerm
1742
def
961
ref
appTerm
1743
def
betaConv
192
ref
299
ref
1742
ref
appTerm
1744
def
absTerm
1745
def
195
ref
appTerm
1746
def
betaConv
581
ref
299
ref
1745
ref
appTerm
1747
def
absTerm
1748
def
585
ref
appTerm
1749
def
betaConv
nil
299
ref
1748
ref
appTerm
1750
def
axiom
nil
43
ref
1750
remove
nil
cons
cons
44
ref
1749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1748
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1747
remove
nil
cons
cons
44
ref
1746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1745
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1744
remove
nil
cons
cons
44
ref
1743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1742
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1751
def
subst
1752
def
873
ref
nil
978
ref
nil
cons
1753
def
nil
cons
cons
1754
def
192
ref
20
ref
1009
remove
209
ref
appTerm
appTerm
1095
ref
appTerm
absTerm
1755
def
195
ref
appTerm
1756
def
betaConv
291
ref
649
ref
581
ref
649
ref
192
ref
nil
338
ref
1218
ref
nil
cons
1757
def
cons
nil
cons
nil
cons
cons
617
ref
subst
1758
def
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
nil
75
ref
295
ref
209
ref
appTerm
1759
def
209
ref
appTerm
1760
def
nil
cons
1761
def
cons
nil
cons
nil
cons
cons
1762
def
75
ref
20
ref
80
remove
appTerm
78
ref
appTerm
absTerm
1763
def
78
ref
appTerm
1764
def
betaConv
nil
334
ref
1763
ref
appTerm
1765
def
axiom
nil
43
ref
1765
remove
nil
cons
cons
44
ref
1764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1763
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1766
def
subst
1027
ref
trans
appThm
291
ref
649
ref
192
ref
92
ref
nil
998
ref
1227
remove
cons
nil
cons
cons
192
ref
20
ref
1218
ref
appTerm
1767
def
1107
ref
570
ref
585
ref
appTerm
1768
def
appTerm
1769
def
appTerm
1770
def
absTerm
1771
def
195
ref
appTerm
1772
def
betaConv
581
ref
299
ref
1771
ref
appTerm
1773
def
absTerm
1774
def
585
ref
appTerm
1775
def
betaConv
649
ref
581
ref
649
ref
192
ref
1770
remove
assume
sym
20
ref
1769
ref
appTerm
1218
ref
appTerm
1776
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
299
ref
581
ref
299
ref
192
ref
1776
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
299
ref
1774
ref
appTerm
nil
cons
cons
44
ref
1775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1774
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1773
remove
nil
cons
cons
44
ref
1772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1771
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1777
def
subst
291
ref
192
ref
20
ref
466
ref
1003
ref
appTerm
209
ref
appTerm
appTerm
570
ref
209
ref
appTerm
1778
def
appTerm
absTerm
1779
def
195
ref
appTerm
1780
def
betaConv
291
ref
649
ref
581
ref
649
ref
192
ref
nil
338
ref
1106
ref
nil
cons
1781
def
cons
nil
cons
nil
cons
cons
617
ref
subst
1782
def
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
nil
75
ref
466
ref
209
ref
appTerm
1783
def
209
ref
appTerm
1784
def
nil
cons
cons
nil
cons
nil
cons
cons
1766
ref
subst
appThm
291
ref
649
ref
192
ref
92
ref
921
ref
1075
ref
appThm
1205
ref
appThm
appThm
1778
ref
refl
1785
def
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
nil
75
ref
466
ref
1000
ref
appTerm
209
ref
appTerm
1786
def
nil
cons
cons
nil
cons
nil
cons
cons
75
ref
20
ref
768
remove
appTerm
607
remove
appTerm
absTerm
1787
def
78
ref
appTerm
1788
def
betaConv
nil
334
ref
1787
ref
appTerm
1789
def
axiom
nil
43
ref
1789
remove
nil
cons
cons
44
ref
1788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
1787
remove
nil
cons
cons
340
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1790
def
subst
810
ref
921
ref
1077
ref
appThm
1205
ref
appThm
appThm
trans
absThm
appThm
appThm
291
ref
649
ref
192
ref
nil
75
ref
1783
ref
1003
ref
appTerm
1791
def
nil
cons
cons
nil
cons
nil
cons
cons
1766
ref
subst
1783
ref
refl
1792
def
1075
ref
appThm
trans
absThm
appThm
appThm
291
ref
649
ref
192
ref
nil
75
ref
1783
ref
1000
ref
appTerm
1793
def
nil
cons
cons
nil
cons
nil
cons
cons
1766
ref
subst
1792
remove
1077
ref
appThm
trans
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
921
ref
1240
ref
appThm
1794
def
1075
ref
appThm
appThm
1106
ref
refl
1795
def
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1794
remove
1077
ref
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
921
ref
1255
ref
appThm
1796
def
1075
ref
appThm
appThm
1085
ref
refl
1797
def
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
1796
remove
1077
ref
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
nil
75
ref
51
ref
1784
ref
appTerm
51
ref
299
ref
192
ref
20
ref
466
ref
1010
ref
appTerm
209
ref
appTerm
appTerm
1778
ref
appTerm
absTerm
appTerm
appTerm
1798
def
51
ref
299
ref
192
ref
465
ref
466
ref
1065
ref
appTerm
209
ref
appTerm
appTerm
absTerm
appTerm
appTerm
1799
def
51
ref
299
ref
192
ref
1783
ref
1010
ref
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
192
ref
1783
ref
1065
ref
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
466
ref
1244
ref
appTerm
1800
def
1010
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
1800
remove
1065
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
466
ref
1002
ref
1244
ref
appTerm
1801
def
appTerm
1802
def
1010
ref
appTerm
appTerm
1085
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
299
ref
581
ref
299
ref
192
ref
20
ref
1802
remove
1065
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
1803
def
appTerm
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
291
ref
999
ref
nil
75
ref
1783
remove
195
ref
appTerm
1804
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
192
ref
1804
ref
absTerm
1805
def
195
ref
appTerm
1806
def
betaConv
nil
299
ref
1805
ref
appTerm
1807
def
axiom
nil
43
ref
1807
remove
nil
cons
cons
44
ref
1806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1805
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
1808
def
subst
appThm
1798
ref
refl
1799
ref
refl
291
ref
649
ref
192
ref
nil
1215
ref
nil
cons
nil
cons
cons
1809
def
1808
ref
subst
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
192
ref
nil
1258
remove
nil
cons
nil
cons
cons
1808
ref
subst
absThm
appThm
1269
ref
trans
appThm
1803
ref
refl
appThm
nil
75
ref
1803
ref
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
1810
def
trans
appThm
1810
remove
trans
appThm
appThm
appThm
nil
75
ref
1798
remove
1799
remove
1803
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
291
ref
649
ref
192
ref
92
ref
nil
1216
remove
nil
cons
cons
581
ref
20
ref
623
ref
209
ref
appTerm
appTerm
983
ref
appTerm
absTerm
1811
def
585
ref
appTerm
1812
def
betaConv
nil
299
ref
1811
ref
appTerm
1813
def
axiom
nil
43
ref
1813
remove
nil
cons
cons
44
ref
1812
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1811
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1814
def
subst
306
ref
1730
ref
appThm
1205
ref
appThm
trans
appThm
1056
ref
1814
ref
subst
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
810
ref
nil
581
ref
1257
ref
cons
nil
cons
nil
cons
cons
1814
remove
subst
306
ref
1734
ref
appThm
1205
ref
appThm
trans
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
921
ref
1731
ref
appThm
1730
ref
appThm
1815
def
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1247
ref
192
ref
20
ref
623
remove
1030
ref
appTerm
appTerm
691
ref
982
ref
1030
ref
appTerm
appTerm
1106
ref
appTerm
appTerm
absTerm
1816
def
195
ref
appTerm
1817
def
betaConv
581
ref
299
ref
1816
ref
appTerm
1818
def
absTerm
1819
def
585
ref
appTerm
1820
def
betaConv
nil
299
ref
1819
ref
appTerm
1821
def
axiom
nil
43
ref
1821
remove
nil
cons
cons
44
ref
1820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1819
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1818
remove
nil
cons
cons
44
ref
1817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1816
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1822
def
subst
873
ref
1732
remove
1734
remove
appThm
appThm
1815
remove
appThm
trans
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
921
ref
1733
remove
appThm
1730
ref
appThm
1823
def
appThm
1797
ref
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
nil
1215
ref
581
ref
1801
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1822
remove
subst
873
ref
1735
remove
appThm
1823
remove
appThm
trans
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
291
ref
649
ref
192
ref
92
ref
nil
1737
ref
nil
cons
cons
1824
def
192
ref
20
ref
1740
ref
209
ref
appTerm
appTerm
984
remove
1095
ref
appTerm
appTerm
absTerm
1825
def
195
ref
appTerm
1826
def
betaConv
581
ref
299
ref
1825
ref
appTerm
1827
def
absTerm
1828
def
585
ref
appTerm
1829
def
betaConv
nil
299
ref
1828
ref
appTerm
1830
def
axiom
nil
43
ref
1830
remove
nil
cons
cons
44
ref
1829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1828
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1827
remove
nil
cons
cons
44
ref
1826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1825
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
appThm
1095
ref
refl
1831
def
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
810
ref
nil
192
ref
1725
ref
nil
cons
1832
def
cons
1833
def
nil
cons
nil
cons
cons
192
ref
465
ref
295
ref
1030
ref
appTerm
1834
def
209
ref
appTerm
1835
def
appTerm
1836
def
absTerm
1837
def
195
ref
appTerm
1838
def
betaConv
nil
299
ref
1837
ref
appTerm
1839
def
axiom
nil
43
ref
1839
remove
nil
cons
cons
44
ref
1838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1837
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1836
remove
nil
cons
cons
44
ref
20
ref
1835
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
88
ref
1835
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
1840
def
subst
appThm
811
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1739
ref
994
ref
subst
1841
def
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
691
ref
295
ref
1724
ref
585
ref
appTerm
1842
def
appTerm
1843
def
1002
ref
1725
ref
appTerm
appTerm
appTerm
1844
def
refl
1841
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
466
ref
1002
ref
1842
ref
appTerm
appTerm
1725
ref
appTerm
1845
def
appTerm
1085
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1846
def
refl
649
ref
581
ref
649
ref
192
ref
92
ref
873
ref
nil
1833
remove
581
ref
1842
ref
nil
cons
1847
def
cons
nil
cons
cons
nil
cons
cons
1848
def
1225
ref
subst
1849
def
appThm
1845
ref
refl
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
nil
75
ref
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
691
ref
295
ref
211
ref
appTerm
1850
def
209
ref
appTerm
appTerm
1851
def
1106
ref
appTerm
1852
def
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1853
def
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
1844
remove
1852
remove
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1854
def
1846
remove
299
ref
581
ref
299
ref
192
ref
20
ref
691
ref
1843
remove
1725
ref
appTerm
appTerm
1855
def
1845
remove
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
appThm
sym
51
ref
299
ref
192
ref
20
ref
1851
remove
1095
ref
appTerm
appTerm
1095
ref
appTerm
absTerm
appTerm
appTerm
refl
1856
def
1853
remove
refl
1857
def
1854
remove
refl
1858
def
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1848
remove
1092
remove
subst
1859
def
appThm
1797
ref
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
1855
remove
refl
1860
def
1859
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
sym
1856
remove
1857
remove
1858
remove
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1739
ref
957
ref
20
ref
239
ref
980
ref
appTerm
981
ref
appTerm
appTerm
51
ref
465
ref
983
ref
appTerm
appTerm
239
ref
195
ref
appTerm
1861
def
961
ref
appTerm
1862
def
appTerm
appTerm
absTerm
1863
def
961
ref
appTerm
1864
def
betaConv
192
ref
299
ref
1863
ref
appTerm
1865
def
absTerm
1866
def
195
ref
appTerm
1867
def
betaConv
581
ref
299
ref
1866
ref
appTerm
1868
def
absTerm
1869
def
585
ref
appTerm
1870
def
betaConv
nil
299
ref
1869
ref
appTerm
1871
def
axiom
nil
43
ref
1871
remove
nil
cons
cons
44
ref
1870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1869
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1868
remove
nil
cons
cons
44
ref
1867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1866
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1865
remove
nil
cons
cons
44
ref
1864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1863
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
1872
def
appThm
1797
ref
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
1860
remove
1872
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
sym
306
ref
1754
ref
1075
ref
subst
397
ref
1079
ref
appThm
1079
ref
appThm
nil
192
ref
1002
ref
209
ref
appTerm
1873
def
nil
cons
1874
def
cons
1875
def
1083
ref
cons
nil
cons
cons
1054
ref
subst
1008
ref
nil
1875
remove
nil
cons
nil
cons
cons
1024
ref
subst
appThm
trans
trans
trans
appThm
1008
ref
1079
ref
appThm
appThm
nil
304
ref
1002
ref
1873
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
sym
81
ref
eqMp
291
ref
649
ref
192
ref
92
ref
873
ref
306
ref
1850
ref
1002
ref
210
ref
appTerm
1876
def
appTerm
assume
1877
def
appThm
1205
ref
appThm
1878
def
appThm
1879
def
1831
ref
appThm
appThm
1831
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1879
remove
1795
ref
appThm
1880
def
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
873
ref
306
ref
571
ref
refl
1881
def
1877
remove
appThm
1882
def
585
ref
refl
1883
def
appThm
appThm
1884
def
1008
ref
1882
remove
661
ref
appThm
1885
def
appThm
appThm
appThm
1880
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
291
ref
810
ref
1878
remove
appThm
appThm
1797
ref
appThm
1886
def
appThm
1797
ref
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
873
ref
1884
remove
1885
remove
appThm
appThm
1886
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
sym
291
ref
649
ref
192
ref
92
ref
873
ref
1754
ref
1840
remove
subst
1887
def
appThm
1888
def
1831
ref
appThm
nil
75
ref
1095
ref
nil
cons
1889
def
cons
nil
cons
nil
cons
cons
735
ref
subst
trans
appThm
1831
remove
appThm
nil
338
ref
1889
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1888
ref
1795
ref
appThm
nil
75
ref
1781
remove
cons
nil
cons
nil
cons
cons
735
ref
subst
trans
1890
def
appThm
1795
ref
appThm
1782
remove
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
691
ref
295
ref
571
ref
1876
ref
appTerm
1891
def
585
ref
appTerm
1892
def
appTerm
1002
ref
1891
remove
195
ref
appTerm
1893
def
appTerm
1894
def
appTerm
1895
def
appTerm
1896
def
refl
1897
def
1890
remove
appThm
appThm
1795
ref
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
291
ref
810
ref
1887
remove
appThm
811
ref
trans
appThm
1797
ref
appThm
nil
75
ref
1085
ref
nil
cons
1898
def
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
1899
def
appThm
1797
remove
appThm
nil
338
ref
1898
ref
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
873
ref
nil
1666
ref
1237
remove
581
ref
1876
remove
nil
cons
cons
nil
cons
1900
def
cons
1901
def
cons
nil
cons
cons
1751
ref
subst
1888
remove
1723
ref
appThm
nil
75
ref
1757
ref
cons
nil
cons
nil
cons
cons
735
ref
subst
1902
def
trans
trans
appThm
1899
remove
appThm
appThm
1795
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
75
ref
299
ref
581
ref
299
ref
192
ref
20
ref
691
ref
1218
ref
appTerm
1903
def
1085
ref
appTerm
1904
def
appTerm
1905
def
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
1906
def
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
appThm
appThm
nil
75
ref
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
1896
ref
1106
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1906
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
1907
def
trans
appThm
1907
remove
trans
sym
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1897
remove
192
ref
20
ref
1106
ref
appTerm
1908
def
1904
ref
appTerm
absTerm
1909
def
195
ref
appTerm
1910
def
betaConv
581
ref
299
ref
1909
ref
appTerm
1911
def
absTerm
1912
def
585
ref
appTerm
1913
def
betaConv
649
ref
581
ref
649
ref
192
ref
1908
ref
refl
1914
def
nil
848
ref
1757
remove
cons
849
ref
1898
remove
cons
nil
cons
cons
nil
cons
cons
880
remove
subst
appThm
absThm
appThm
absThm
appThm
nil
299
ref
581
ref
299
ref
192
ref
1908
ref
691
ref
1085
ref
appTerm
1218
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
299
ref
1912
ref
appTerm
nil
cons
cons
44
ref
1913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1912
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1911
remove
nil
cons
cons
44
ref
1910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1909
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1915
def
appThm
appThm
1915
ref
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
1905
remove
refl
1915
remove
appThm
nil
338
ref
1904
ref
nil
cons
1916
def
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
nil
75
ref
299
ref
581
ref
299
ref
192
ref
20
ref
1896
remove
1904
ref
appTerm
appTerm
1904
ref
appTerm
1917
def
absTerm
1918
def
appTerm
1919
def
absTerm
1920
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
nil
303
ref
1920
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
1919
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
1918
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
1917
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
88
ref
1895
ref
nil
cons
1921
def
cons
1922
def
nil
cons
nil
cons
cons
1923
def
540
remove
sym
subst
nil
43
ref
1921
remove
cons
520
ref
cons
nil
cons
cons
1924
def
62
ref
subst
1924
remove
126
ref
subst
"Number.Natural.even"
const
236
ref
constTerm
1925
def
refl
1926
def
1895
ref
assume
appThm
nil
43
ref
20
ref
1925
ref
1892
remove
appTerm
appTerm
1925
ref
1894
remove
appTerm
appTerm
nil
cons
1927
def
cons
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
75
ref
1927
remove
cons
nil
cons
nil
cons
cons
611
ref
subst
810
ref
92
ref
nil
1901
remove
nil
cons
cons
192
ref
20
ref
1925
ref
980
ref
appTerm
appTerm
691
ref
1925
ref
585
ref
appTerm
1928
def
appTerm
1925
ref
195
ref
appTerm
1929
def
appTerm
appTerm
absTerm
1930
def
195
ref
appTerm
1931
def
betaConv
581
ref
299
ref
1930
ref
appTerm
1932
def
absTerm
1933
def
585
ref
appTerm
1934
def
betaConv
nil
299
ref
1933
ref
appTerm
1935
def
axiom
nil
43
ref
1935
remove
nil
cons
cons
44
ref
1934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1933
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1932
remove
nil
cons
cons
44
ref
1931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1930
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1936
def
subst
873
ref
1754
ref
192
ref
20
ref
1925
ref
1030
ref
appTerm
appTerm
465
ref
1929
ref
appTerm
appTerm
absTerm
1937
def
195
ref
appTerm
1938
def
betaConv
nil
299
ref
1937
ref
appTerm
1939
def
axiom
nil
43
ref
1939
remove
nil
cons
cons
44
ref
1938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1937
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1940
def
subst
810
ref
1926
remove
1078
remove
appThm
nil
192
ref
1028
remove
nil
cons
cons
nil
cons
nil
cons
cons
1940
ref
subst
810
ref
nil
998
ref
1083
ref
cons
nil
cons
cons
1941
def
192
ref
20
ref
1925
ref
598
ref
appTerm
appTerm
20
ref
1928
ref
appTerm
1929
ref
appTerm
appTerm
absTerm
1942
def
195
ref
appTerm
1943
def
betaConv
581
ref
299
ref
1942
ref
appTerm
1944
def
absTerm
1945
def
585
ref
appTerm
1946
def
betaConv
nil
299
ref
1945
ref
appTerm
1947
def
axiom
nil
43
ref
1947
remove
nil
cons
cons
44
ref
1946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1945
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1944
remove
nil
cons
cons
44
ref
1943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1942
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
338
ref
1925
remove
209
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
appThm
820
ref
trans
trans
trans
appThm
811
ref
trans
trans
appThm
1948
def
1928
ref
refl
appThm
nil
75
ref
1928
remove
nil
cons
cons
nil
cons
nil
cons
cons
754
ref
subst
trans
trans
appThm
nil
192
ref
1893
remove
nil
cons
cons
nil
cons
nil
cons
cons
1940
remove
subst
810
ref
nil
1900
remove
nil
cons
cons
1936
remove
subst
1948
remove
1929
ref
refl
appThm
nil
75
ref
1929
remove
nil
cons
cons
nil
cons
nil
cons
cons
754
ref
subst
trans
trans
appThm
820
ref
trans
trans
appThm
827
ref
765
ref
subst
trans
appThm
811
ref
trans
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
1922
remove
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
873
ref
nil
43
ref
465
ref
1895
ref
appTerm
nil
cons
cons
44
ref
20
ref
1895
remove
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
1923
remove
548
ref
subst
eqMp
appThm
1904
remove
refl
appThm
nil
75
ref
1916
remove
cons
nil
cons
nil
cons
cons
735
ref
subst
trans
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
299
ref
581
ref
299
ref
192
ref
1908
ref
1106
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
90
ref
51
ref
20
ref
1784
remove
appTerm
67
ref
appTerm
1949
def
appTerm
51
ref
299
ref
1779
ref
appTerm
1950
def
appTerm
51
ref
299
ref
192
ref
20
ref
1786
remove
appTerm
510
ref
appTerm
absTerm
1951
def
appTerm
1952
def
appTerm
51
ref
299
ref
192
ref
20
ref
1791
remove
appTerm
67
ref
appTerm
absTerm
1953
def
appTerm
1954
def
appTerm
51
ref
299
ref
192
ref
20
ref
1793
remove
appTerm
67
ref
appTerm
absTerm
1955
def
appTerm
1956
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
466
ref
1193
ref
appTerm
1957
def
1003
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
1958
def
appTerm
1959
def
absTerm
1960
def
appTerm
1961
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
1957
remove
1000
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
1962
def
appTerm
1963
def
absTerm
1964
def
appTerm
1965
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
466
ref
1686
ref
appTerm
1966
def
1003
ref
appTerm
appTerm
1085
ref
appTerm
absTerm
1967
def
appTerm
1968
def
absTerm
1969
def
appTerm
1970
def
appTerm
299
ref
581
ref
299
ref
192
ref
20
ref
1966
remove
1000
ref
appTerm
appTerm
1106
ref
appTerm
absTerm
1971
def
appTerm
1972
def
absTerm
1973
def
appTerm
1974
def
appTerm
1975
def
appTerm
1976
def
appTerm
1977
def
appTerm
1978
def
appTerm
1979
def
appTerm
1980
def
appTerm
1981
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
1949
remove
nil
cons
cons
90
ref
1981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
1982
def
nil
88
ref
1950
remove
nil
cons
1983
def
cons
90
ref
1980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1984
def
104
ref
subst
proveHyp
nil
43
ref
1983
remove
cons
44
ref
1780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1779
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1985
def
appThm
1953
ref
195
ref
appTerm
1986
def
betaConv
1982
remove
1984
remove
392
ref
subst
proveHyp
1987
def
nil
88
ref
1952
remove
nil
cons
1988
def
cons
90
ref
1979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1989
def
392
ref
subst
proveHyp
1990
def
nil
88
ref
1954
remove
nil
cons
1991
def
cons
90
ref
1978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1992
def
104
ref
subst
proveHyp
nil
43
ref
1991
remove
cons
44
ref
1986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1953
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1993
def
appThm
nil
75
ref
1778
ref
nil
cons
1994
def
cons
nil
cons
nil
cons
cons
1995
def
560
ref
subst
1996
def
trans
trans
appThm
nil
998
ref
1045
ref
cons
nil
cons
cons
1777
ref
subst
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
nil
75
ref
1001
remove
209
ref
appTerm
1997
def
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
810
ref
nil
998
ref
1234
remove
cons
nil
cons
cons
1777
ref
subst
291
ref
1951
ref
195
ref
appTerm
1998
def
betaConv
1987
remove
1989
remove
104
ref
subst
proveHyp
nil
43
ref
1988
remove
cons
44
ref
1998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1951
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
1999
def
appThm
1955
ref
195
ref
appTerm
2000
def
betaConv
1990
remove
1992
remove
392
ref
subst
proveHyp
2001
def
nil
88
ref
1956
remove
nil
cons
2002
def
cons
90
ref
1977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2003
def
104
ref
subst
proveHyp
nil
43
ref
2002
remove
cons
44
ref
2000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1955
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2004
def
appThm
330
ref
826
ref
subst
trans
trans
2005
def
appThm
811
ref
trans
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
192
ref
92
ref
nil
1207
ref
1083
ref
cons
nil
cons
cons
1777
ref
subst
291
ref
1993
remove
appThm
1985
remove
appThm
1995
remove
341
ref
subst
2006
def
trans
trans
appThm
nil
1083
ref
nil
cons
cons
2007
def
1777
ref
subst
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
nil
75
ref
1759
ref
1000
ref
appTerm
2008
def
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
810
ref
nil
1211
ref
1083
ref
cons
nil
cons
cons
1777
ref
subst
291
ref
2004
remove
appThm
1999
remove
appThm
827
remove
341
ref
subst
trans
trans
appThm
811
ref
trans
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
92
ref
1715
remove
1777
ref
subst
291
ref
1958
ref
195
ref
appTerm
2009
def
betaConv
1960
ref
585
ref
appTerm
2010
def
betaConv
2001
remove
2003
remove
392
ref
subst
proveHyp
2011
def
nil
88
ref
1961
remove
nil
cons
2012
def
cons
90
ref
1976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2013
def
104
ref
subst
proveHyp
nil
43
ref
2012
remove
cons
44
ref
2010
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1960
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1959
remove
nil
cons
cons
44
ref
2009
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1958
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2014
def
appThm
nil
1667
remove
nil
cons
cons
2015
def
2014
remove
subst
appThm
trans
appThm
1777
ref
appThm
nil
338
ref
1769
remove
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
2016
def
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
nil
75
ref
295
ref
1193
ref
appTerm
2017
def
1000
ref
appTerm
2018
def
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
810
ref
nil
1211
ref
1714
ref
cons
nil
cons
cons
2019
def
1777
ref
subst
291
ref
1962
ref
195
ref
appTerm
2020
def
betaConv
1964
ref
585
ref
appTerm
2021
def
betaConv
2011
remove
2013
remove
392
ref
subst
proveHyp
2022
def
nil
88
ref
1965
remove
nil
cons
2023
def
cons
90
ref
1975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2024
def
104
ref
subst
proveHyp
nil
43
ref
2023
remove
cons
44
ref
2021
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1964
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1963
remove
nil
cons
cons
44
ref
2020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1962
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2025
def
appThm
2015
ref
1967
ref
195
ref
appTerm
2026
def
betaConv
1969
ref
585
ref
appTerm
2027
def
betaConv
2022
remove
2024
remove
392
ref
subst
proveHyp
2028
def
nil
88
ref
1970
remove
nil
cons
2029
def
cons
90
ref
1974
remove
nil
cons
2030
def
cons
nil
cons
cons
nil
cons
cons
2031
def
104
ref
subst
proveHyp
nil
43
ref
2029
remove
cons
44
ref
2027
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1969
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1968
remove
nil
cons
cons
44
ref
2026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1967
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2032
def
subst
appThm
trans
appThm
trans
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
nil
75
ref
295
ref
1686
ref
appTerm
2033
def
1003
ref
appTerm
2034
def
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
810
ref
nil
1207
ref
581
ref
1686
ref
nil
cons
2035
def
cons
nil
cons
2036
def
cons
nil
cons
cons
2037
def
1777
ref
subst
291
ref
2032
remove
appThm
2015
ref
2025
remove
subst
appThm
trans
appThm
trans
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
92
ref
nil
1211
ref
2036
ref
cons
nil
cons
cons
2038
def
1777
ref
subst
291
ref
1971
ref
195
ref
appTerm
2039
def
betaConv
1973
ref
585
ref
appTerm
2040
def
betaConv
2028
remove
2031
remove
392
ref
subst
proveHyp
nil
43
ref
2030
remove
cons
44
ref
2040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1973
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1972
remove
nil
cons
cons
44
ref
2039
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1971
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2041
def
appThm
2015
remove
2041
remove
subst
appThm
trans
appThm
1777
ref
appThm
2016
remove
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
nil
75
ref
299
ref
581
ref
299
ref
192
ref
465
ref
51
ref
1085
ref
appTerm
2042
def
1768
ref
appTerm
2043
def
appTerm
2044
def
absTerm
2045
def
appTerm
2046
def
absTerm
2047
def
appTerm
2048
def
nil
cons
2049
def
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
appThm
appThm
nil
75
ref
51
ref
299
ref
581
ref
299
ref
192
ref
465
ref
1107
remove
1861
ref
585
ref
appTerm
2050
def
appTerm
2051
def
appTerm
2052
def
absTerm
2053
def
appTerm
2054
def
absTerm
2055
def
appTerm
2056
def
appTerm
2048
ref
appTerm
2057
def
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
2058
def
trans
appThm
2058
remove
trans
appThm
appThm
nil
75
ref
51
ref
299
ref
192
ref
20
ref
1778
ref
appTerm
2059
def
51
ref
1804
ref
appTerm
1778
ref
appTerm
appTerm
absTerm
appTerm
appTerm
2057
remove
appTerm
2060
def
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
appThm
appThm
nil
75
ref
51
ref
299
ref
192
ref
2059
ref
51
ref
1778
remove
appTerm
2061
def
1804
remove
appTerm
appTerm
absTerm
appTerm
appTerm
2060
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
2062
def
trans
appThm
2062
remove
trans
sym
291
ref
649
ref
192
ref
2059
remove
refl
2063
def
2061
remove
refl
1808
ref
appThm
1996
remove
trans
appThm
nil
338
ref
1994
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
2064
def
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
192
ref
2063
remove
291
ref
1808
remove
appThm
1785
remove
appThm
2006
remove
trans
appThm
2064
remove
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
810
ref
2053
ref
195
ref
appTerm
2065
def
betaConv
2055
ref
585
ref
appTerm
2066
def
betaConv
nil
2056
ref
axiom
nil
43
ref
2056
remove
nil
cons
cons
44
ref
2066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2055
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2054
remove
nil
cons
cons
44
ref
2065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2053
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2052
remove
nil
cons
cons
44
ref
20
ref
2051
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
88
ref
2051
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
811
ref
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
649
ref
581
ref
649
ref
192
ref
810
ref
2045
ref
195
ref
appTerm
2067
def
betaConv
2047
ref
585
ref
appTerm
2068
def
betaConv
nil
2048
remove
axiom
nil
43
ref
2049
remove
cons
44
ref
2068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2047
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2046
remove
nil
cons
cons
44
ref
2067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2045
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2044
remove
nil
cons
cons
44
ref
20
ref
2043
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
88
ref
2043
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
811
ref
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
299
ref
581
ref
299
ref
192
ref
1767
remove
1218
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
90
ref
51
ref
20
ref
1760
ref
appTerm
67
ref
appTerm
2069
def
appTerm
51
ref
299
ref
1755
ref
appTerm
2070
def
appTerm
51
ref
299
ref
192
ref
20
ref
1997
remove
appTerm
510
ref
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
192
ref
20
ref
1759
ref
1003
ref
appTerm
appTerm
1759
remove
195
ref
appTerm
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
192
ref
20
ref
2008
remove
appTerm
510
ref
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
2017
remove
1003
ref
appTerm
appTerm
1218
ref
appTerm
2071
def
absTerm
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
2018
remove
appTerm
510
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
20
ref
2034
remove
appTerm
510
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
299
ref
581
ref
299
ref
192
ref
20
ref
2033
remove
1000
ref
appTerm
appTerm
1218
ref
appTerm
2072
def
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
2073
def
appTerm
2074
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
2069
remove
nil
cons
cons
90
ref
2074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
2070
remove
nil
cons
2075
def
cons
90
ref
2073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
proveHyp
nil
43
ref
2075
remove
cons
44
ref
1756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1755
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
999
ref
2005
remove
subst
trans
appThm
2076
def
1723
ref
appThm
1902
remove
trans
2077
def
trans
appThm
1723
ref
appThm
1758
ref
trans
appThm
92
ref
1849
remove
1752
remove
trans
2077
remove
trans
appThm
1723
remove
appThm
1758
remove
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
2078
def
nil
88
ref
2071
remove
nil
cons
cons
90
ref
2072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2079
def
104
ref
subst
proveHyp
2080
def
subst
nil
192
ref
1718
ref
nil
cons
cons
2081
def
581
ref
1722
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2082
def
2080
ref
subst
nil
192
ref
1717
ref
nil
cons
cons
2083
def
581
ref
1198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
192
ref
973
ref
cons
2084
def
1263
remove
cons
nil
cons
cons
2085
def
2080
ref
subst
trans
2086
def
trans
trans
trans
appThm
nil
338
ref
1188
ref
nil
cons
2087
def
cons
nil
cons
nil
cons
cons
617
ref
subst
2088
def
trans
sym
81
ref
eqMp
2089
def
subst
nil
581
ref
213
ref
nil
cons
2090
def
cons
2091
def
nil
cons
nil
cons
cons
2092
def
nil
978
ref
1196
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
998
ref
1711
ref
cons
nil
cons
cons
1682
ref
195
ref
appTerm
2093
def
betaConv
1684
ref
585
ref
appTerm
2094
def
betaConv
1704
remove
1706
remove
392
ref
subst
proveHyp
2095
def
nil
88
ref
1685
remove
nil
cons
2096
def
cons
90
ref
1697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2097
def
104
ref
subst
proveHyp
nil
43
ref
2096
remove
cons
44
ref
2094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1684
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1683
remove
nil
cons
cons
44
ref
2093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1682
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2098
def
subst
208
ref
refl
2099
def
nil
192
ref
1713
remove
cons
nil
cons
nil
cons
cons
2100
def
1233
ref
subst
appThm
trans
appThm
trans
subst
eqMp
2101
def
appThm
231
ref
refl
2102
def
appThm
nil
581
ref
208
ref
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
207
ref
222
ref
appTerm
2103
def
appTerm
appTerm
appTerm
2104
def
appTerm
appTerm
appTerm
appTerm
2105
def
nil
cons
2106
def
cons
2107
def
192
ref
1187
remove
cons
2108
def
957
ref
228
remove
nil
cons
2109
def
cons
nil
cons
2110
def
cons
cons
nil
cons
cons
1189
ref
306
ref
nil
1192
ref
581
ref
208
ref
208
ref
1686
ref
appTerm
2111
def
appTerm
nil
cons
2112
def
cons
nil
cons
2113
def
cons
nil
cons
cons
2114
def
1707
ref
subst
1708
ref
nil
1709
ref
581
ref
2111
ref
nil
cons
2115
def
cons
nil
cons
2116
def
cons
nil
cons
cons
2117
def
1688
ref
195
ref
appTerm
2118
def
betaConv
1690
ref
585
ref
appTerm
2119
def
betaConv
2095
remove
2097
remove
392
ref
subst
proveHyp
2120
def
nil
88
ref
1691
remove
nil
cons
2121
def
cons
90
ref
1696
remove
nil
cons
2122
def
cons
nil
cons
cons
nil
cons
cons
2123
def
104
ref
subst
proveHyp
nil
43
ref
2121
remove
cons
44
ref
2119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1690
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1689
remove
nil
cons
cons
44
ref
2118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1688
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2124
def
subst
2099
ref
2037
ref
2124
ref
subst
2099
ref
2124
ref
appThm
trans
2125
def
appThm
2126
def
trans
2127
def
appThm
trans
appThm
207
ref
208
ref
208
ref
208
ref
961
ref
appTerm
2128
def
appTerm
2129
def
appTerm
2130
def
appTerm
refl
2131
def
appThm
nil
192
ref
2130
ref
nil
cons
cons
2132
def
581
ref
208
ref
208
ref
1681
ref
appTerm
2133
def
appTerm
nil
cons
2134
def
cons
nil
cons
cons
nil
cons
cons
2135
def
2080
ref
subst
nil
192
ref
2129
ref
nil
cons
cons
2136
def
581
ref
2133
ref
nil
cons
2137
def
cons
nil
cons
cons
nil
cons
cons
2138
def
2078
remove
2079
remove
392
ref
subst
proveHyp
2139
def
subst
nil
192
ref
2128
ref
nil
cons
cons
2140
def
581
ref
1681
ref
nil
cons
2141
def
cons
nil
cons
cons
nil
cons
cons
2142
def
2139
ref
subst
2085
remove
2139
ref
subst
2143
def
trans
2144
def
trans
2145
def
trans
2146
def
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
2147
def
subst
nil
581
ref
2104
remove
nil
cons
2148
def
cons
2149
def
192
ref
2090
ref
cons
2150
def
957
ref
226
remove
nil
cons
2151
def
cons
nil
cons
2152
def
cons
cons
nil
cons
cons
1189
ref
306
ref
nil
192
ref
208
ref
1190
ref
appTerm
nil
cons
cons
2153
def
581
ref
207
ref
2111
remove
appTerm
nil
cons
2154
def
cons
nil
cons
2155
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
2117
ref
2098
ref
subst
2126
remove
trans
appThm
trans
appThm
208
ref
2130
remove
appTerm
refl
2156
def
appThm
2135
remove
2139
ref
subst
2145
remove
trans
2157
def
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
2158
def
subst
nil
581
ref
222
remove
nil
cons
2159
def
cons
2160
def
nil
cons
nil
cons
cons
nil
192
ref
212
ref
nil
cons
2161
def
cons
2162
def
581
ref
208
ref
208
ref
1193
ref
appTerm
2163
def
appTerm
nil
cons
2164
def
cons
nil
cons
2165
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
1184
ref
581
ref
2163
ref
nil
cons
2166
def
cons
nil
cons
2167
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
978
ref
1714
remove
cons
nil
cons
cons
2168
def
2124
ref
subst
2099
ref
999
ref
2098
ref
subst
2099
ref
1232
ref
appThm
trans
appThm
2169
def
trans
appThm
trans
appThm
trans
2170
def
subst
eqMp
eqMp
2171
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
2105
remove
appTerm
appTerm
appTerm
appTerm
2172
def
nil
cons
2173
def
cons
192
ref
207
ref
207
ref
207
ref
207
ref
1186
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
957
ref
582
ref
cons
2174
def
nil
cons
2175
def
cons
cons
nil
cons
cons
20
ref
"_9269"
186
ref
var
2176
def
20
ref
570
ref
2176
remove
varTerm
appTerm
appTerm
67
ref
appTerm
absTerm
2177
def
961
ref
appTerm
2178
def
appTerm
refl
2177
ref
598
ref
appTerm
betaConv
appThm
92
ref
2178
remove
betaConv
appThm
20
ref
599
remove
appTerm
67
ref
appTerm
refl
appThm
trans
2177
remove
refl
1188
remove
assume
sym
2179
def
appThm
eqMp
sym
956
remove
eqMp
2180
def
subst
deductAntisym
2171
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
1178
ref
nil
cons
cons
304
ref
582
remove
cons
nil
cons
2181
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
1178
remove
appTerm
nil
cons
cons
44
ref
1177
remove
574
ref
appTerm
2182
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1105
remove
581
ref
1176
ref
nil
cons
2183
def
cons
nil
cons
2184
def
cons
nil
cons
cons
1174
ref
subst
eqMp
1430
ref
"d"
186
ref
var
2185
def
nil
1566
ref
202
ref
2185
ref
varTerm
2186
def
appTerm
2187
def
1176
ref
appTerm
2188
def
nil
cons
2189
def
cons
304
ref
1104
ref
cons
nil
cons
cons
nil
cons
cons
320
ref
173
ref
subst
subst
absThm
appThm
nil
192
ref
1104
ref
cons
2184
remove
cons
nil
cons
cons
192
ref
1908
ref
372
ref
2185
ref
662
ref
2187
ref
585
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2190
def
195
ref
appTerm
2191
def
betaConv
581
ref
299
ref
2190
ref
appTerm
2192
def
absTerm
2193
def
585
ref
appTerm
2194
def
betaConv
649
ref
581
ref
649
ref
192
ref
1914
remove
1430
ref
2185
ref
662
ref
refl
2195
def
nil
192
ref
2186
ref
nil
cons
2196
def
cons
2197
def
nil
cons
2198
def
nil
cons
cons
1660
remove
1661
remove
104
ref
subst
proveHyp
2199
def
subst
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
nil
299
ref
581
ref
299
ref
192
ref
1908
ref
372
ref
2185
ref
662
ref
597
ref
2186
ref
appTerm
appTerm
absTerm
appTerm
2200
def
appTerm
2201
def
absTerm
appTerm
absTerm
appTerm
axiom
2202
def
eqMp
nil
43
ref
299
ref
2193
ref
appTerm
nil
cons
cons
44
ref
2194
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2193
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2192
remove
nil
cons
cons
44
ref
2191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2190
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
2182
remove
assume
eqMp
eqMp
nil
43
ref
372
ref
2185
ref
295
ref
2188
ref
appTerm
574
ref
appTerm
2203
def
absTerm
2204
def
appTerm
2205
def
nil
cons
cons
563
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
2185
ref
45
ref
2204
ref
2186
ref
appTerm
2206
def
appTerm
496
ref
appTerm
2207
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
2185
ref
nil
75
ref
2207
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2206
ref
nil
cons
2208
def
cons
563
ref
cons
nil
cons
cons
2209
def
62
ref
subst
2209
remove
126
ref
subst
2206
ref
betaConv
2206
remove
assume
eqMp
nil
43
ref
2203
ref
nil
cons
2210
def
cons
563
ref
cons
nil
cons
cons
2211
def
113
ref
subst
proveHyp
2211
ref
62
ref
subst
2211
remove
126
ref
subst
"i"
186
ref
var
2212
def
45
ref
239
ref
2212
ref
varTerm
2213
def
appTerm
2214
def
265
ref
appTerm
appTerm
144
ref
176
ref
295
ref
266
remove
appTerm
2215
def
2213
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2216
def
2186
ref
appTerm
2217
def
betaConv
192
ref
299
ref
2212
remove
45
ref
2214
remove
195
ref
appTerm
appTerm
144
ref
176
ref
295
ref
260
remove
195
ref
appTerm
178
ref
appTerm
appTerm
2213
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2218
def
265
ref
appTerm
2219
def
betaConv
nil
299
ref
2218
ref
appTerm
2220
def
axiom
nil
43
ref
2220
remove
nil
cons
cons
44
ref
2219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2218
remove
nil
cons
cons
304
ref
265
ref
nil
cons
2221
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2222
def
nil
43
ref
299
ref
2216
ref
appTerm
nil
cons
cons
2223
def
44
ref
2217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2216
ref
nil
cons
cons
2224
def
304
ref
2196
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
45
ref
239
ref
2186
ref
appTerm
2225
def
265
ref
appTerm
2226
def
appTerm
144
ref
176
ref
2215
ref
2186
ref
appTerm
2227
def
absTerm
2228
def
appTerm
2229
def
appTerm
2230
def
nil
cons
cons
563
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
2221
ref
cons
2231
def
2198
remove
cons
nil
cons
cons
957
ref
20
ref
1862
ref
appTerm
2232
def
239
ref
630
ref
1176
ref
appTerm
2233
def
appTerm
1529
ref
1176
ref
appTerm
2234
def
appTerm
2235
def
appTerm
2236
def
absTerm
2237
def
961
ref
appTerm
2238
def
betaConv
192
ref
299
ref
2237
ref
appTerm
2239
def
absTerm
2240
def
195
ref
appTerm
2241
def
betaConv
649
ref
192
ref
649
ref
957
ref
2236
remove
assume
sym
20
ref
2235
remove
appTerm
1862
ref
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
581
ref
299
ref
192
ref
299
ref
957
ref
20
ref
239
ref
631
ref
appTerm
2242
def
1530
ref
appTerm
appTerm
1862
ref
appTerm
absTerm
2243
def
appTerm
2244
def
absTerm
2245
def
appTerm
2246
def
absTerm
2247
def
1176
ref
appTerm
2248
def
betaConv
nil
299
ref
2247
ref
appTerm
2249
def
axiom
2250
def
nil
43
ref
2249
remove
nil
cons
cons
2251
def
44
ref
2248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2247
ref
nil
cons
cons
2252
def
304
ref
2183
ref
cons
nil
cons
2253
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
nil
43
ref
299
ref
2240
ref
appTerm
nil
cons
cons
44
ref
2241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2240
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2239
remove
nil
cons
cons
44
ref
2238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2237
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2254
def
subst
sym
239
ref
refl
2255
def
2203
remove
assume
2256
def
appThm
202
ref
265
ref
appTerm
2257
def
1176
ref
appTerm
2258
def
refl
appThm
sym
192
ref
51
ref
239
ref
574
ref
appTerm
2259
def
195
ref
appTerm
appTerm
570
ref
2258
ref
appTerm
2260
def
appTerm
absTerm
2261
def
202
ref
577
remove
appTerm
573
remove
appTerm
2262
def
appTerm
betaConv
sym
nil
957
ref
959
remove
cons
581
ref
958
ref
cons
192
ref
593
ref
cons
2263
def
nil
cons
2264
def
cons
cons
nil
cons
cons
2243
ref
961
ref
appTerm
2265
def
betaConv
2245
ref
195
ref
appTerm
2266
def
betaConv
2247
ref
585
ref
appTerm
2267
def
betaConv
2250
ref
nil
2251
ref
44
ref
2267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2252
ref
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2246
remove
nil
cons
cons
44
ref
2266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2245
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2244
remove
nil
cons
cons
44
ref
2265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2243
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2268
def
subst
460
ref
refl
2269
def
592
remove
appThm
555
remove
82
ref
subst
461
ref
assume
2270
def
eqMp
2271
def
trans
trans
sym
81
ref
eqMp
nil
43
ref
2259
ref
2262
ref
appTerm
nil
cons
cons
44
ref
466
ref
2262
ref
appTerm
2258
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
921
ref
979
remove
957
ref
295
ref
202
ref
980
ref
appTerm
2272
def
981
ref
appTerm
2273
def
appTerm
586
ref
1275
ref
appTerm
2274
def
appTerm
2275
def
absTerm
2276
def
961
ref
appTerm
2277
def
betaConv
192
ref
299
ref
2276
ref
appTerm
2278
def
absTerm
2279
def
195
ref
appTerm
2280
def
betaConv
581
ref
299
ref
2279
ref
appTerm
2281
def
absTerm
2282
def
585
ref
appTerm
2283
def
betaConv
649
ref
581
ref
649
ref
192
ref
649
ref
957
ref
2275
remove
assume
sym
295
ref
2274
remove
appTerm
2273
remove
appTerm
2284
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
299
ref
581
ref
299
ref
192
ref
299
ref
957
ref
2284
remove
absTerm
2285
def
appTerm
2286
def
absTerm
2287
def
appTerm
2288
def
absTerm
2289
def
appTerm
2290
def
axiom
2291
def
eqMp
nil
43
ref
299
ref
2282
ref
appTerm
nil
cons
cons
44
ref
2283
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2282
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2281
remove
nil
cons
cons
44
ref
2280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2279
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2278
remove
nil
cons
cons
44
ref
2277
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2276
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
appThm
306
ref
2257
ref
refl
2101
ref
appThm
nil
581
ref
264
remove
nil
cons
2292
def
cons
2293
def
2108
ref
957
ref
208
ref
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
262
ref
appTerm
appTerm
appTerm
2294
def
appTerm
2295
def
appTerm
2296
def
appTerm
2297
def
appTerm
2298
def
appTerm
2299
def
nil
cons
cons
nil
cons
2300
def
cons
cons
nil
cons
cons
2147
ref
subst
nil
581
ref
263
remove
nil
cons
2301
def
cons
2150
ref
957
ref
2295
remove
nil
cons
2302
def
cons
nil
cons
2303
def
cons
cons
nil
cons
cons
2304
def
1189
ref
306
ref
nil
2153
ref
581
ref
208
ref
207
ref
1686
ref
appTerm
2305
def
appTerm
nil
cons
cons
nil
cons
2306
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
1709
ref
581
ref
2305
ref
nil
cons
cons
nil
cons
2307
def
cons
nil
cons
cons
2308
def
1693
ref
195
ref
appTerm
2309
def
betaConv
1695
ref
585
ref
appTerm
2310
def
betaConv
2120
remove
2123
remove
392
ref
subst
proveHyp
nil
43
ref
2122
remove
cons
44
ref
2310
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1695
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
1694
remove
nil
cons
cons
44
ref
2309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
1693
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2311
def
subst
1708
ref
1008
ref
2037
remove
1707
ref
subst
1708
ref
2124
ref
appThm
trans
2312
def
appThm
nil
192
ref
2141
remove
cons
nil
cons
nil
cons
cons
2313
def
192
ref
295
ref
1004
remove
appTerm
1000
ref
appTerm
absTerm
2314
def
195
ref
appTerm
2315
def
betaConv
291
ref
649
ref
192
ref
nil
304
ref
1043
ref
cons
nil
cons
nil
cons
cons
322
ref
subst
absThm
appThm
1269
ref
trans
appThm
291
ref
295
ref
1873
remove
appTerm
2316
def
refl
1079
remove
appThm
nil
304
ref
1874
remove
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
appThm
291
ref
649
ref
192
ref
306
ref
1076
remove
appThm
1077
ref
appThm
nil
304
ref
1257
remove
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
appThm
649
ref
192
ref
306
ref
1008
ref
1077
ref
appThm
appThm
nil
1044
remove
nil
cons
nil
cons
cons
2317
def
1075
ref
subst
1055
remove
trans
1064
remove
trans
appThm
1066
remove
trans
absThm
appThm
1269
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
nil
88
ref
299
ref
192
ref
1834
ref
1030
ref
appTerm
absTerm
appTerm
nil
cons
cons
90
ref
51
ref
2316
remove
210
ref
appTerm
2318
def
appTerm
51
ref
299
ref
2314
ref
appTerm
2319
def
appTerm
299
ref
192
ref
295
ref
1002
ref
1000
ref
appTerm
appTerm
1031
ref
appTerm
absTerm
2320
def
appTerm
2321
def
appTerm
2322
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
2323
def
nil
88
ref
2318
remove
nil
cons
cons
90
ref
2322
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2324
def
392
ref
subst
proveHyp
2325
def
nil
88
ref
2319
remove
nil
cons
2326
def
cons
90
ref
2321
remove
nil
cons
2327
def
cons
nil
cons
cons
nil
cons
cons
2328
def
104
ref
subst
proveHyp
nil
43
ref
2326
remove
cons
44
ref
2315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2314
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2329
def
subst
trans
appThm
trans
appThm
trans
appThm
208
ref
207
ref
2129
remove
appTerm
2330
def
appTerm
refl
2331
def
appThm
nil
192
ref
2330
remove
nil
cons
cons
2332
def
581
ref
207
ref
2133
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
2138
remove
2080
ref
subst
2144
remove
trans
trans
2333
def
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
nil
581
ref
262
remove
nil
cons
2334
def
cons
nil
cons
nil
cons
cons
2170
ref
subst
2335
def
eqMp
eqMp
trans
2336
def
appThm
572
remove
refl
1754
ref
nil
1192
ref
1083
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
1709
ref
nil
cons
nil
cons
cons
2337
def
1209
ref
subst
appThm
trans
subst
appThm
nil
581
ref
230
ref
nil
cons
cons
2338
def
192
ref
457
ref
nil
cons
2339
def
cons
2340
def
957
ref
208
ref
208
ref
208
ref
2299
remove
appTerm
appTerm
appTerm
2341
def
nil
cons
2342
def
cons
nil
cons
cons
cons
nil
cons
cons
291
ref
20
ref
1740
ref
961
ref
appTerm
2343
def
appTerm
2344
def
refl
2345
def
306
ref
1881
ref
1240
ref
appThm
2346
def
661
ref
appThm
appThm
nil
2084
ref
nil
cons
nil
cons
cons
2347
def
1075
ref
subst
2348
def
appThm
appThm
appThm
2345
ref
306
ref
586
ref
refl
2349
def
1075
ref
appThm
appThm
2348
remove
appThm
appThm
appThm
sym
291
ref
2345
ref
306
ref
1881
ref
1731
ref
appThm
661
ref
appThm
appThm
2347
remove
1730
ref
subst
2350
def
appThm
appThm
appThm
2345
ref
306
ref
2349
ref
1730
ref
appThm
appThm
2350
remove
appThm
appThm
appThm
sym
51
ref
2344
ref
295
ref
571
ref
1842
ref
appTerm
195
ref
appTerm
appTerm
1724
ref
961
ref
appTerm
2351
def
appTerm
appTerm
appTerm
refl
2345
ref
306
ref
306
ref
2349
ref
1824
remove
192
ref
1740
ref
571
ref
195
ref
appTerm
2352
def
585
ref
appTerm
appTerm
absTerm
2353
def
195
ref
appTerm
2354
def
betaConv
581
ref
299
ref
2353
ref
appTerm
2355
def
absTerm
2356
def
585
ref
appTerm
2357
def
betaConv
nil
299
ref
2356
ref
appTerm
2358
def
axiom
nil
43
ref
2358
remove
nil
cons
cons
44
ref
2357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2356
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2355
remove
nil
cons
cons
44
ref
2354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2353
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2359
def
subst
2360
def
appThm
2361
def
appThm
1739
ref
957
ref
295
ref
586
ref
2352
ref
961
ref
appTerm
2362
def
appTerm
2363
def
appTerm
2364
def
2352
ref
981
ref
appTerm
appTerm
absTerm
2365
def
961
ref
appTerm
2366
def
betaConv
192
ref
299
ref
2365
ref
appTerm
2367
def
absTerm
2368
def
195
ref
appTerm
2369
def
betaConv
581
ref
299
ref
2368
ref
appTerm
2370
def
absTerm
2371
def
585
ref
appTerm
2372
def
betaConv
nil
299
ref
2371
ref
appTerm
2373
def
axiom
nil
43
ref
2373
remove
nil
cons
cons
44
ref
2372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2371
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2370
remove
nil
cons
cons
44
ref
2369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2368
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2367
remove
nil
cons
cons
44
ref
2366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2365
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2374
def
subst
2361
remove
trans
2375
def
appThm
nil
304
ref
586
ref
2352
ref
211
ref
appTerm
2376
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
sym
81
ref
eqMp
appThm
2351
remove
refl
2377
def
appThm
appThm
appThm
sym
291
ref
2345
ref
306
ref
1739
remove
957
ref
2364
remove
571
ref
980
ref
appTerm
961
ref
appTerm
2378
def
appTerm
2379
def
absTerm
2380
def
961
ref
appTerm
2381
def
betaConv
192
ref
299
ref
2380
ref
appTerm
2382
def
absTerm
2383
def
195
ref
appTerm
2384
def
betaConv
581
ref
299
ref
2383
ref
appTerm
2385
def
absTerm
2386
def
585
ref
appTerm
2387
def
betaConv
nil
299
ref
2386
ref
appTerm
2388
def
axiom
nil
43
ref
2388
remove
nil
cons
cons
44
ref
2387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2386
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2385
remove
nil
cons
cons
44
ref
2384
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2383
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2382
remove
nil
cons
cons
44
ref
2381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2380
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2379
remove
nil
cons
cons
44
ref
295
ref
2378
ref
appTerm
2363
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
304
ref
2363
remove
nil
cons
cons
1566
ref
2378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
320
ref
33
ref
45
ref
157
ref
appTerm
160
remove
appTerm
2389
def
absTerm
2390
def
36
ref
appTerm
2391
def
betaConv
152
ref
118
ref
2390
ref
appTerm
2392
def
absTerm
2393
def
156
ref
appTerm
2394
def
betaConv
nil
118
ref
33
ref
118
ref
152
ref
2389
ref
absTerm
2395
def
appTerm
2396
def
absTerm
2397
def
appTerm
2398
def
axiom
nil
43
ref
2398
remove
nil
cons
2399
def
cons
2400
def
44
ref
118
ref
2393
ref
appTerm
nil
cons
2401
def
cons
nil
cons
cons
nil
cons
cons
2402
def
113
ref
subst
proveHyp
2402
ref
62
ref
subst
2402
remove
126
ref
subst
nil
119
ref
2393
remove
nil
cons
cons
2403
def
nil
cons
nil
cons
cons
183
ref
subst
152
ref
nil
75
ref
2392
remove
nil
cons
2404
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
119
ref
2390
remove
nil
cons
cons
2405
def
nil
cons
nil
cons
cons
183
ref
subst
33
ref
nil
75
ref
2389
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
2395
ref
156
ref
appTerm
2406
def
betaConv
2397
ref
36
ref
appTerm
2407
def
betaConv
nil
2400
remove
44
ref
2407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
169
ref
119
ref
2397
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2396
remove
nil
cons
cons
44
ref
2406
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2395
remove
nil
cons
cons
172
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
88
ref
2399
remove
cons
90
ref
2401
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
2401
remove
cons
44
ref
2394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
2403
remove
172
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2404
remove
cons
44
ref
2391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
2405
remove
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
2408
def
subst
eqMp
2409
def
subst
appThm
2377
remove
appThm
nil
192
ref
980
ref
nil
cons
2410
def
cons
2411
def
1737
ref
cons
nil
cons
cons
1751
ref
subst
2076
ref
2343
ref
refl
appThm
nil
75
ref
2343
remove
nil
cons
2412
def
cons
nil
cons
nil
cons
cons
735
ref
subst
trans
trans
2413
def
trans
appThm
nil
338
ref
2412
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
2414
def
trans
appThm
2345
remove
2413
remove
appThm
2414
remove
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2344
ref
295
ref
571
ref
1193
ref
appTerm
2415
def
195
ref
appTerm
appTerm
1717
ref
appTerm
appTerm
nil
cons
cons
90
ref
2344
remove
295
ref
586
ref
1003
ref
appTerm
appTerm
1717
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
proveHyp
2416
def
subst
nil
1082
ref
192
ref
227
remove
nil
cons
cons
957
ref
259
ref
nil
cons
2417
def
cons
2418
def
nil
cons
2419
def
cons
cons
nil
cons
cons
92
ref
306
ref
1008
ref
1024
ref
appThm
2420
def
appThm
961
ref
refl
2421
def
appThm
appThm
2422
def
306
ref
1008
ref
nil
192
ref
208
ref
208
ref
1000
ref
appTerm
2423
def
appTerm
nil
cons
cons
2424
def
nil
cons
nil
cons
cons
2425
def
1213
ref
subst
appThm
2425
remove
2320
ref
195
ref
appTerm
2426
def
betaConv
2325
remove
2328
remove
392
ref
subst
proveHyp
nil
43
ref
2327
remove
cons
44
ref
2426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2320
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2427
def
subst
1708
ref
nil
192
ref
2423
ref
nil
cons
cons
2428
def
nil
cons
nil
cons
cons
2429
def
2427
ref
subst
1708
ref
1212
ref
2427
ref
subst
1708
ref
2427
ref
appThm
trans
2430
def
appThm
trans
appThm
trans
2431
def
trans
appThm
1720
ref
appThm
nil
1721
ref
581
ref
207
ref
207
ref
1031
ref
appTerm
2432
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2081
ref
581
ref
2432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2083
ref
581
ref
1031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2084
ref
581
ref
1043
remove
cons
nil
cons
cons
nil
cons
cons
2433
def
2080
ref
subst
trans
trans
trans
2434
def
trans
appThm
nil
338
ref
1834
remove
961
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
2435
def
trans
sym
81
ref
eqMp
2436
def
subst
nil
1082
ref
192
ref
225
ref
nil
cons
cons
957
ref
1181
ref
cons
nil
cons
cons
cons
nil
cons
cons
2436
ref
subst
nil
1082
ref
192
ref
221
remove
nil
cons
2437
def
cons
2438
def
957
ref
2090
remove
cons
nil
cons
cons
cons
nil
cons
cons
2436
ref
subst
1008
ref
nil
192
ref
220
remove
nil
cons
2439
def
cons
2440
def
nil
cons
nil
cons
cons
2441
def
1213
ref
subst
2442
def
appThm
2441
ref
2427
ref
subst
1708
ref
1754
ref
2427
ref
subst
1708
ref
999
ref
2427
ref
subst
1708
ref
2323
remove
2324
remove
104
ref
subst
proveHyp
appThm
trans
2443
def
appThm
trans
appThm
trans
2444
def
trans
eqMp
eqMp
eqMp
nil
2338
remove
2340
ref
957
ref
207
ref
207
ref
207
ref
207
ref
259
ref
appTerm
2445
def
appTerm
2446
def
appTerm
2447
def
appTerm
2448
def
nil
cons
2449
def
cons
2450
def
"a"
186
ref
var
2451
def
2342
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
20
ref
"_9068"
186
ref
var
2452
def
20
ref
295
ref
571
ref
2452
remove
varTerm
appTerm
195
ref
appTerm
appTerm
202
ref
2451
ref
varTerm
2453
def
appTerm
2454
def
195
ref
appTerm
2455
def
appTerm
appTerm
1740
ref
2453
ref
appTerm
2456
def
appTerm
absTerm
2457
def
961
ref
appTerm
2458
def
appTerm
refl
2457
ref
1002
ref
1017
remove
585
ref
appTerm
2459
def
appTerm
2460
def
appTerm
betaConv
appThm
92
ref
2458
remove
betaConv
appThm
20
ref
295
ref
571
ref
2460
ref
appTerm
195
ref
appTerm
appTerm
2455
ref
appTerm
appTerm
2456
remove
appTerm
refl
appThm
trans
2457
remove
refl
295
ref
2460
remove
appTerm
2461
def
961
ref
appTerm
assume
sym
appThm
eqMp
sym
306
ref
nil
581
ref
2459
ref
nil
cons
2462
def
cons
nil
cons
nil
cons
cons
192
ref
295
ref
571
ref
1046
ref
appTerm
195
ref
appTerm
appTerm
2272
ref
195
ref
appTerm
appTerm
absTerm
2463
def
195
ref
appTerm
2464
def
betaConv
581
ref
299
ref
2463
ref
appTerm
2465
def
absTerm
2466
def
585
ref
appTerm
2467
def
betaConv
nil
299
ref
2466
ref
appTerm
2468
def
axiom
nil
43
ref
2468
remove
nil
cons
cons
44
ref
2467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2466
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2465
remove
nil
cons
cons
44
ref
2464
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2463
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2469
def
subst
397
ref
1881
ref
1239
ref
1024
ref
subst
appThm
661
ref
appThm
appThm
661
ref
appThm
trans
appThm
2455
remove
refl
appThm
nil
192
ref
2453
ref
nil
cons
2470
def
cons
1666
ref
581
ref
2410
ref
cons
nil
cons
2471
def
cons
cons
nil
cons
cons
192
ref
20
ref
295
ref
962
ref
appTerm
2472
def
1275
ref
appTerm
appTerm
1218
remove
appTerm
absTerm
2473
def
195
ref
appTerm
2474
def
betaConv
581
ref
299
ref
2473
ref
appTerm
2475
def
absTerm
2476
def
585
ref
appTerm
2477
def
betaConv
957
ref
299
ref
2476
ref
appTerm
2478
def
absTerm
2479
def
961
ref
appTerm
2480
def
betaConv
nil
299
ref
2479
ref
appTerm
2481
def
axiom
nil
43
ref
2481
remove
nil
cons
cons
44
ref
2480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2479
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2478
remove
nil
cons
cons
44
ref
2477
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2476
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2475
remove
nil
cons
cons
44
ref
2474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2473
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2482
def
subst
trans
eqMp
subst
proveHyp
nil
581
ref
2447
remove
nil
cons
2483
def
cons
2484
def
2340
ref
957
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
457
ref
appTerm
2485
def
appTerm
2486
def
appTerm
2487
def
appTerm
2488
def
appTerm
2489
def
appTerm
2490
def
appTerm
2491
def
appTerm
2492
def
appTerm
2493
def
appTerm
2494
def
appTerm
2495
def
appTerm
2496
def
appTerm
2497
def
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
2446
remove
nil
cons
2498
def
cons
2499
def
2340
ref
957
ref
2497
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
2445
remove
nil
cons
2500
def
cons
2501
def
2340
ref
957
ref
2496
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
2417
ref
cons
2502
def
2340
ref
957
ref
2495
remove
nil
cons
cons
nil
cons
2503
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
258
ref
nil
cons
2504
def
cons
2505
def
2340
ref
957
ref
2494
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
257
remove
nil
cons
2506
def
cons
2507
def
2340
ref
957
ref
2493
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
256
ref
nil
cons
2508
def
cons
2509
def
2340
ref
957
ref
2492
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
1182
ref
2340
ref
957
ref
2491
remove
nil
cons
cons
nil
cons
2510
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
254
remove
nil
cons
cons
2511
def
2340
ref
957
ref
2490
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
246
ref
nil
cons
2512
def
cons
2513
def
2340
ref
957
ref
2489
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
442
ref
cons
2514
def
2340
ref
957
ref
2488
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2091
ref
2340
ref
957
ref
2487
remove
nil
cons
cons
nil
cons
2515
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
2161
ref
cons
2516
def
2340
ref
957
ref
2486
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
1736
ref
2340
ref
957
ref
2485
ref
nil
cons
2517
def
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
581
ref
977
remove
cons
2518
def
2340
ref
957
ref
2339
remove
cons
2519
def
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2340
remove
nil
cons
2520
def
nil
cons
cons
2521
def
1056
remove
581
ref
295
ref
571
ref
210
ref
appTerm
2522
def
585
ref
appTerm
appTerm
585
ref
appTerm
absTerm
2523
def
585
ref
appTerm
2524
def
betaConv
nil
299
ref
2523
ref
appTerm
2525
def
axiom
nil
43
ref
2525
remove
nil
cons
cons
44
ref
2524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2523
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
2526
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
581
ref
2298
remove
nil
cons
cons
978
ref
2503
remove
cons
cons
nil
cons
cons
20
ref
295
ref
1047
ref
appTerm
961
ref
appTerm
2527
def
appTerm
refl
2528
def
306
ref
2114
ref
2311
ref
subst
1708
ref
1008
ref
2127
ref
appThm
nil
192
ref
2137
remove
cons
nil
cons
nil
cons
cons
2529
def
2427
ref
subst
1708
ref
2313
remove
2427
ref
subst
1708
ref
1243
remove
2427
ref
subst
2530
def
appThm
trans
2531
def
appThm
trans
2532
def
trans
appThm
trans
appThm
1720
ref
appThm
nil
1721
ref
581
ref
207
ref
207
ref
1692
ref
appTerm
2533
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2081
ref
581
ref
2533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2083
ref
581
ref
1692
ref
nil
cons
2534
def
cons
nil
cons
cons
nil
cons
cons
2535
def
2080
ref
subst
nil
2084
ref
581
ref
1260
ref
cons
nil
cons
cons
nil
cons
cons
2536
def
2080
ref
subst
2537
def
trans
trans
trans
2538
def
trans
appThm
nil
338
ref
2527
remove
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
2539
def
trans
sym
81
ref
eqMp
subst
nil
581
ref
2294
remove
nil
cons
cons
998
ref
2510
remove
cons
cons
nil
cons
cons
92
ref
306
ref
1008
ref
1232
ref
appThm
2540
def
appThm
2421
remove
appThm
appThm
2541
def
306
ref
1008
ref
nil
998
ref
2113
ref
cons
nil
cons
cons
2542
def
2098
ref
subst
2099
ref
nil
192
ref
2115
remove
cons
nil
cons
nil
cons
cons
2543
def
1236
ref
subst
2544
def
appThm
trans
appThm
nil
192
ref
2112
remove
cons
nil
cons
nil
cons
cons
2545
def
2427
ref
subst
1708
ref
2543
ref
2427
ref
subst
1708
ref
nil
192
ref
2035
remove
cons
nil
cons
nil
cons
cons
2546
def
2427
ref
subst
1708
ref
1239
ref
2427
ref
subst
appThm
trans
appThm
trans
2547
def
appThm
trans
2548
def
trans
appThm
1720
ref
appThm
nil
1721
remove
581
ref
207
ref
207
ref
207
ref
1046
ref
appTerm
2549
def
appTerm
2550
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2081
remove
581
ref
2550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2083
remove
581
ref
2549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
nil
2084
ref
581
ref
1046
ref
nil
cons
2551
def
cons
nil
cons
cons
nil
cons
cons
2552
def
2080
ref
subst
trans
trans
trans
2553
def
trans
appThm
nil
338
ref
1217
remove
961
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
617
ref
subst
2554
def
trans
sym
81
ref
eqMp
subst
nil
581
ref
261
remove
nil
cons
cons
998
ref
2515
remove
cons
cons
nil
cons
cons
2541
ref
306
ref
1008
ref
2545
ref
1236
ref
subst
appThm
2548
ref
trans
appThm
1720
ref
appThm
2553
ref
trans
appThm
2554
ref
trans
sym
81
ref
eqMp
2555
def
subst
2092
remove
1008
ref
nil
192
ref
2164
remove
cons
nil
cons
nil
cons
cons
2556
def
1236
ref
subst
appThm
2556
remove
2427
ref
subst
1708
ref
nil
192
ref
2166
remove
cons
nil
cons
nil
cons
cons
2427
ref
subst
1708
ref
2100
ref
2427
ref
subst
1708
ref
1239
ref
2329
ref
subst
appThm
trans
appThm
trans
appThm
trans
trans
subst
eqMp
eqMp
eqMp
sym
trans
eqMp
eqMp
trans
appThm
nil
192
ref
207
ref
2341
remove
appTerm
nil
cons
2557
def
cons
nil
cons
nil
cons
cons
nil
410
ref
nil
cons
cons
2558
def
322
ref
subst
2559
def
subst
trans
sym
81
ref
eqMp
appThm
nil
957
ref
202
ref
210
ref
appTerm
2560
def
214
ref
appTerm
nil
cons
cons
192
ref
2560
ref
206
ref
appTerm
nil
cons
cons
584
ref
cons
cons
nil
cons
cons
994
remove
subst
996
remove
nil
957
ref
442
ref
cons
2561
def
1081
ref
2518
ref
nil
cons
2562
def
cons
cons
nil
cons
cons
975
ref
subst
appThm
trans
trans
sym
nil
192
ref
442
ref
cons
2563
def
581
ref
976
ref
cons
nil
cons
2564
def
cons
nil
cons
cons
192
ref
1908
remove
1084
ref
1030
ref
appTerm
2565
def
appTerm
2566
def
absTerm
2567
def
195
ref
appTerm
2568
def
betaConv
581
ref
299
ref
2567
ref
appTerm
2569
def
absTerm
2570
def
585
ref
appTerm
2571
def
betaConv
649
ref
581
ref
649
ref
192
ref
2566
remove
assume
sym
20
ref
2565
remove
appTerm
1106
ref
appTerm
2572
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
299
ref
581
ref
299
ref
192
ref
2572
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
299
ref
2570
ref
appTerm
nil
cons
cons
44
ref
2571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2570
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2569
remove
nil
cons
cons
44
ref
2568
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2567
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2573
def
subst
456
remove
refl
nil
2514
ref
2520
remove
cons
nil
cons
cons
306
ref
nil
43
ref
2461
remove
1046
ref
appTerm
2574
def
nil
cons
2575
def
cons
2576
def
nil
cons
nil
cons
cons
2577
def
618
ref
subst
sym
nil
43
ref
465
ref
2574
remove
appTerm
2578
def
nil
cons
2579
def
cons
2580
def
520
ref
cons
nil
cons
cons
2581
def
62
ref
subst
2581
remove
126
ref
subst
649
ref
192
ref
2559
ref
absThm
appThm
1269
ref
trans
sym
81
ref
eqMp
nil
43
ref
299
ref
192
ref
663
remove
absTerm
2582
def
appTerm
2583
def
nil
cons
2584
def
cons
2585
def
520
ref
cons
nil
cons
cons
2586
def
113
ref
subst
proveHyp
291
ref
649
ref
192
ref
306
ref
1024
ref
appThm
661
ref
appThm
2559
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
306
ref
1232
ref
appThm
1883
remove
appThm
nil
591
ref
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
1054
ref
appThm
1047
ref
refl
2587
def
appThm
nil
304
ref
1260
remove
cons
nil
cons
nil
cons
cons
322
ref
subst
2588
def
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
649
ref
581
ref
649
ref
192
ref
306
ref
1063
ref
appThm
2587
remove
appThm
2588
remove
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
nil
43
ref
51
ref
1020
remove
appTerm
51
ref
1231
remove
appTerm
51
ref
1053
remove
appTerm
1062
remove
appTerm
appTerm
2589
def
appTerm
2590
def
nil
cons
2591
def
cons
2592
def
44
ref
45
ref
2583
ref
appTerm
510
ref
appTerm
2593
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2580
ref
44
ref
45
ref
2590
remove
appTerm
2594
def
2593
remove
appTerm
2595
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
581
ref
45
ref
2578
ref
appTerm
2596
def
2595
remove
appTerm
absTerm
2597
def
585
ref
appTerm
2598
def
betaConv
649
ref
581
ref
2596
ref
refl
2594
ref
refl
nil
75
ref
2584
ref
cons
nil
cons
nil
cons
cons
611
remove
subst
2599
def
appThm
appThm
absThm
appThm
sym
nil
303
ref
581
ref
2596
remove
2594
remove
465
ref
2583
remove
appTerm
2600
def
appTerm
2601
def
appTerm
2602
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
2602
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
2580
remove
44
ref
2601
remove
nil
cons
2603
def
cons
nil
cons
cons
nil
cons
cons
2604
def
62
ref
subst
2604
remove
126
ref
subst
nil
2592
remove
44
ref
2600
remove
nil
cons
2605
def
cons
nil
cons
cons
nil
cons
cons
2606
def
62
ref
subst
2606
remove
126
ref
subst
2599
remove
2586
ref
62
ref
subst
2586
remove
126
ref
subst
nil
"_9119"
186
ref
var
2607
def
997
ref
cons
nil
cons
nil
cons
cons
2582
ref
2607
ref
varTerm
2608
def
appTerm
2609
def
betaConv
nil
2585
remove
44
ref
2609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
2582
remove
nil
cons
cons
304
ref
2608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2610
def
subst
nil
43
ref
1761
remove
cons
44
ref
982
remove
585
ref
appTerm
2611
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
2607
remove
590
ref
cons
nil
cons
nil
cons
cons
2610
remove
subst
eqMp
nil
43
ref
51
ref
1760
remove
appTerm
2611
remove
appTerm
nil
cons
cons
44
ref
295
ref
2459
ref
appTerm
2612
def
2459
remove
appTerm
2613
def
nil
cons
2614
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_9129"
186
ref
var
2615
def
590
ref
cons
"_9127"
186
ref
var
2616
def
590
ref
cons
"_9128"
186
ref
var
2617
def
997
ref
cons
"_9126"
186
ref
var
2618
def
997
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
690
ref
691
ref
465
ref
295
ref
2618
remove
varTerm
2619
def
appTerm
2617
remove
varTerm
2620
def
appTerm
2621
def
appTerm
2622
def
appTerm
2623
def
465
ref
295
ref
2616
remove
varTerm
2624
def
appTerm
2615
remove
varTerm
2625
def
appTerm
2626
def
appTerm
2627
def
appTerm
nil
cons
cons
705
ref
295
ref
202
ref
2619
remove
appTerm
2624
remove
appTerm
appTerm
202
ref
2620
remove
appTerm
2625
remove
appTerm
appTerm
2628
def
nil
cons
2629
def
cons
nil
cons
cons
nil
cons
cons
795
remove
subst
454
ref
nil
690
ref
2627
ref
nil
cons
2630
def
cons
705
ref
2622
remove
nil
cons
2631
def
cons
nil
cons
cons
nil
cons
cons
833
remove
subst
291
ref
nil
705
ref
2621
ref
nil
cons
2632
def
cons
nil
cons
2633
def
nil
cons
cons
836
ref
subst
appThm
nil
705
remove
2626
ref
nil
cons
2634
def
cons
nil
cons
2635
def
nil
cons
cons
836
remove
subst
appThm
trans
appThm
2628
ref
refl
appThm
trans
2623
remove
refl
nil
44
ref
2629
ref
cons
2636
def
43
ref
2630
ref
cons
nil
cons
cons
nil
cons
cons
881
remove
subst
appThm
nil
783
ref
2630
remove
cons
2636
ref
43
ref
2631
remove
cons
nil
cons
cons
cons
nil
cons
cons
882
remove
subst
trans
nil
690
ref
691
ref
2627
remove
appTerm
2628
remove
appTerm
nil
cons
2637
def
cons
2633
remove
cons
nil
cons
cons
916
ref
subst
nil
43
ref
2632
ref
cons
44
ref
2637
ref
cons
nil
cons
cons
nil
cons
cons
2638
def
62
ref
subst
2638
remove
126
ref
subst
nil
690
remove
2629
ref
cons
2635
remove
cons
nil
cons
cons
916
remove
subst
nil
43
ref
2634
ref
cons
2636
remove
nil
cons
cons
nil
cons
cons
2639
def
62
ref
subst
2639
remove
126
ref
subst
397
ref
2621
remove
assume
appThm
2626
remove
assume
appThm
eqMp
nil
88
ref
2634
remove
cons
90
ref
2629
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2632
remove
cons
90
ref
2637
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
43
ref
2614
remove
cons
44
ref
2612
remove
585
ref
appTerm
2640
def
nil
cons
2641
def
cons
nil
cons
2642
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
"_9120"
186
ref
var
2643
def
590
ref
cons
nil
cons
nil
cons
cons
1018
remove
2643
remove
varTerm
2644
def
appTerm
2645
def
betaConv
nil
88
ref
1021
remove
cons
90
ref
2589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
nil
1022
remove
44
ref
2645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
1023
remove
304
ref
2644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
nil
43
ref
51
ref
2613
remove
appTerm
2640
remove
appTerm
nil
cons
cons
2642
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
590
ref
cons
1566
ref
2462
ref
cons
304
ref
2462
ref
cons
nil
cons
cons
cons
nil
cons
cons
1625
ref
subst
eqMp
nil
43
ref
2641
remove
cons
44
ref
2575
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_9133"
186
ref
var
2646
def
590
ref
cons
"_9132"
186
ref
var
2647
def
2462
remove
cons
nil
cons
cons
nil
cons
cons
nil
43
ref
295
ref
2647
remove
varTerm
2648
def
appTerm
2646
remove
varTerm
2649
def
appTerm
2650
def
nil
cons
2651
def
cons
44
ref
295
ref
1002
ref
2648
remove
appTerm
appTerm
1002
ref
2649
remove
appTerm
appTerm
nil
cons
2652
def
cons
nil
cons
cons
nil
cons
cons
2653
def
62
ref
subst
2653
remove
126
ref
subst
1008
ref
2650
remove
assume
appThm
eqMp
nil
88
ref
2651
remove
cons
90
ref
2652
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
2576
remove
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
2577
remove
952
ref
subst
2578
remove
assume
eqMp
eqMp
eqMp
nil
88
ref
2584
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2591
remove
cons
90
ref
2605
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
2579
remove
cons
2654
def
90
ref
2603
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
299
ref
2597
ref
appTerm
nil
cons
cons
44
ref
2598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2597
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2654
remove
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
appThm
661
ref
appThm
subst
1754
ref
1008
ref
nil
1192
ref
nil
cons
nil
cons
cons
2655
def
1209
ref
subst
appThm
2655
ref
2329
ref
subst
trans
subst
eqMp
2656
def
appThm
nil
75
ref
565
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
458
ref
assume
eqMp
2657
def
trans
trans
sym
81
ref
eqMp
nil
88
ref
1101
ref
cons
90
ref
466
ref
206
ref
appTerm
214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
793
remove
sym
2658
def
nil
337
ref
75
ref
45
ref
541
remove
78
ref
appTerm
2659
def
appTerm
45
ref
779
remove
78
ref
appTerm
2660
def
appTerm
78
ref
appTerm
2661
def
appTerm
2662
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
357
ref
subst
2663
def
75
ref
nil
75
ref
2662
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
2664
def
nil
43
ref
2659
ref
nil
cons
2665
def
cons
44
ref
2661
remove
nil
cons
2666
def
cons
nil
cons
cons
nil
cons
cons
2667
def
62
ref
subst
2668
def
2667
remove
126
ref
subst
2669
def
nil
43
ref
2660
ref
nil
cons
2670
def
cons
44
ref
339
ref
cons
nil
cons
2671
def
cons
nil
cons
cons
2672
def
62
ref
subst
2673
def
2672
remove
126
ref
subst
2674
def
nil
43
ref
360
remove
cons
2671
ref
cons
nil
cons
cons
113
ref
subst
2660
remove
assume
eqMp
eqMp
nil
88
ref
2670
remove
cons
90
ref
339
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
2675
def
deductAntisym
eqMp
eqMp
nil
88
ref
2665
remove
cons
90
ref
2666
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
2676
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
eqMp
eqMp
302
ref
303
ref
2261
ref
nil
cons
cons
304
ref
2262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
2261
remove
appTerm
nil
cons
cons
44
ref
2259
remove
2258
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
2258
ref
nil
cons
cons
2677
def
581
ref
1104
remove
cons
nil
cons
cons
nil
cons
cons
957
ref
45
ref
372
ref
192
ref
2042
remove
963
ref
appTerm
2678
def
absTerm
2679
def
appTerm
2680
def
appTerm
2681
def
1084
remove
961
ref
appTerm
2682
def
appTerm
2683
def
absTerm
2684
def
961
ref
appTerm
2685
def
betaConv
581
ref
299
ref
2684
ref
appTerm
2686
def
absTerm
2687
def
585
ref
appTerm
2688
def
betaConv
nil
299
ref
581
ref
299
ref
192
ref
299
ref
957
ref
45
ref
2678
ref
appTerm
2682
ref
appTerm
absTerm
2689
def
appTerm
2690
def
absTerm
2691
def
appTerm
2692
def
absTerm
2693
def
appTerm
2694
def
axiom
nil
43
ref
2694
ref
nil
cons
2695
def
cons
2696
def
44
ref
299
ref
2687
ref
appTerm
nil
cons
2697
def
cons
nil
cons
cons
nil
cons
cons
2698
def
113
ref
subst
proveHyp
2698
ref
62
ref
subst
2698
remove
126
ref
subst
nil
303
ref
2687
remove
nil
cons
cons
2699
def
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
2686
remove
nil
cons
2700
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
2684
remove
nil
cons
cons
2701
def
nil
cons
nil
cons
cons
382
ref
subst
957
ref
nil
75
ref
2683
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2680
remove
nil
cons
2702
def
cons
2703
def
44
ref
2682
ref
nil
cons
2704
def
cons
nil
cons
2705
def
cons
nil
cons
cons
2706
def
62
ref
subst
2706
remove
126
ref
subst
nil
2696
ref
2705
ref
cons
nil
cons
cons
2707
def
113
ref
subst
nil
2703
remove
44
ref
45
ref
2694
remove
appTerm
2682
remove
appTerm
2708
def
nil
cons
2709
def
cons
nil
cons
2710
def
cons
nil
cons
cons
113
ref
subst
nil
303
ref
192
ref
45
ref
2679
ref
195
ref
appTerm
2711
def
appTerm
2708
ref
appTerm
2712
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
2712
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2711
ref
nil
cons
2713
def
cons
2710
ref
cons
nil
cons
cons
2714
def
62
ref
subst
2714
remove
126
ref
subst
2711
ref
betaConv
2711
remove
assume
eqMp
nil
43
ref
2678
remove
nil
cons
2715
def
cons
2716
def
2710
remove
cons
nil
cons
cons
2717
def
113
ref
subst
proveHyp
2717
ref
62
ref
subst
2717
remove
126
ref
subst
2707
ref
62
ref
subst
2707
remove
126
ref
subst
nil
2716
remove
2705
remove
cons
nil
cons
cons
113
ref
subst
2689
ref
961
ref
appTerm
2718
def
betaConv
2691
ref
195
ref
appTerm
2719
def
betaConv
2693
ref
585
ref
appTerm
2720
def
betaConv
nil
2696
remove
44
ref
2720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
2693
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2692
remove
nil
cons
cons
44
ref
2719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2691
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2690
remove
nil
cons
cons
44
ref
2718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2689
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2695
remove
cons
2721
def
90
ref
2704
remove
cons
nil
cons
2722
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
2715
remove
cons
90
ref
2709
remove
cons
nil
cons
2723
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2713
remove
cons
2723
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
2679
ref
1154
ref
appTerm
appTerm
2708
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
2681
remove
2708
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2679
remove
nil
cons
cons
2723
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2702
remove
cons
2722
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2721
remove
90
ref
2697
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
2697
remove
cons
44
ref
2688
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2699
remove
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2700
remove
cons
44
ref
2685
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2701
remove
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2724
def
subst
eqMp
eqMp
eqMp
nil
43
ref
2226
ref
nil
cons
cons
2725
def
44
ref
45
ref
2229
ref
appTerm
496
ref
appTerm
2726
def
nil
cons
cons
nil
cons
2727
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
273
ref
176
ref
45
ref
2228
ref
178
ref
appTerm
2728
def
appTerm
496
ref
appTerm
2729
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
8
ref
cons
183
ref
subst
2730
def
subst
176
ref
nil
75
ref
2729
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2728
ref
nil
cons
2731
def
cons
563
ref
cons
nil
cons
cons
2732
def
62
ref
subst
2732
remove
126
ref
subst
2728
ref
betaConv
2728
remove
assume
eqMp
nil
43
ref
2227
ref
nil
cons
2733
def
cons
563
remove
cons
nil
cons
cons
2734
def
113
ref
subst
proveHyp
2734
ref
62
ref
subst
2734
remove
126
ref
subst
495
ref
178
ref
appTerm
betaConv
sym
185
ref
194
ref
refl
2735
def
397
ref
218
ref
refl
2736
def
235
ref
refl
2737
def
2255
ref
2737
ref
2255
ref
2227
remove
assume
2738
def
appThm
253
ref
refl
2739
def
appThm
appThm
2738
ref
appThm
397
ref
2738
remove
appThm
259
ref
refl
2740
def
appThm
appThm
2741
def
appThm
244
ref
refl
2742
def
appThm
appThm
2741
ref
appThm
397
ref
2741
remove
appThm
246
ref
refl
2743
def
appThm
appThm
2744
def
appThm
2102
ref
appThm
appThm
412
ref
232
ref
refl
2745
def
2744
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
494
ref
refl
2746
def
appThm
sym
nil
192
ref
253
ref
nil
cons
2747
def
cons
2748
def
581
ref
2196
ref
cons
nil
cons
2749
def
cons
nil
cons
cons
192
ref
20
ref
465
ref
1085
ref
appTerm
2750
def
appTerm
1768
ref
appTerm
2751
def
absTerm
2752
def
195
ref
appTerm
2753
def
betaConv
581
ref
299
ref
2752
ref
appTerm
2754
def
absTerm
2755
def
585
ref
appTerm
2756
def
betaConv
nil
299
ref
2755
ref
appTerm
2757
def
axiom
2758
def
nil
43
ref
2757
remove
nil
cons
cons
44
ref
2756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2755
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2754
remove
nil
cons
cons
44
ref
2753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2752
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2759
def
subst
sym
nil
957
ref
2196
ref
cons
2748
ref
nil
cons
2760
def
cons
nil
cons
cons
957
ref
20
ref
963
ref
appTerm
2761
def
466
ref
2233
remove
appTerm
2234
remove
appTerm
2762
def
appTerm
2763
def
absTerm
2764
def
961
ref
appTerm
2765
def
betaConv
192
ref
299
ref
2764
ref
appTerm
2766
def
absTerm
2767
def
195
ref
appTerm
2768
def
betaConv
649
ref
192
ref
649
ref
957
ref
2763
remove
assume
sym
20
ref
2762
remove
appTerm
963
ref
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
581
ref
299
ref
192
ref
299
ref
957
ref
20
ref
466
ref
631
remove
appTerm
1530
ref
appTerm
appTerm
963
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2769
def
1176
ref
appTerm
2770
def
betaConv
nil
299
ref
2769
ref
appTerm
2771
def
axiom
2772
def
nil
43
ref
2771
remove
nil
cons
cons
2773
def
44
ref
2770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2769
ref
nil
cons
cons
2774
def
2253
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
nil
43
ref
299
ref
2767
ref
appTerm
nil
cons
cons
44
ref
2768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2767
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2766
remove
nil
cons
cons
44
ref
2765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2764
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2775
def
subst
sym
192
ref
51
ref
466
ref
202
ref
253
ref
appTerm
2776
def
1176
ref
appTerm
2777
def
appTerm
2778
def
195
ref
appTerm
appTerm
2779
def
570
ref
2188
ref
appTerm
appTerm
absTerm
2780
def
231
ref
appTerm
betaConv
sym
51
ref
2778
ref
231
ref
appTerm
2781
def
appTerm
refl
579
ref
2256
ref
appThm
1180
ref
trans
appThm
nil
75
ref
2781
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
921
ref
2776
ref
refl
2782
def
2101
ref
appThm
nil
581
ref
252
remove
nil
cons
2783
def
cons
2784
def
2108
ref
957
ref
207
ref
208
ref
470
remove
appTerm
appTerm
2785
def
nil
cons
2786
def
cons
nil
cons
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
251
remove
nil
cons
2787
def
cons
2788
def
2150
ref
957
ref
469
remove
nil
cons
2789
def
cons
nil
cons
2790
def
cons
2791
def
cons
nil
cons
cons
2792
def
1189
ref
306
ref
nil
2153
ref
1196
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
1712
remove
2098
ref
subst
2099
ref
1716
remove
appThm
trans
appThm
trans
appThm
207
ref
208
ref
1718
remove
appTerm
2793
def
appTerm
refl
appThm
nil
192
ref
2793
remove
nil
cons
cons
581
ref
208
ref
1722
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2080
ref
subst
2082
remove
2139
ref
subst
2086
remove
trans
trans
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
nil
581
ref
250
ref
nil
cons
2794
def
cons
2795
def
998
ref
957
ref
468
ref
nil
cons
2796
def
cons
nil
cons
2797
def
cons
cons
nil
cons
cons
2798
def
2541
ref
306
ref
nil
2162
ref
581
ref
207
ref
2305
remove
appTerm
nil
cons
cons
nil
cons
2799
def
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
1184
ref
2307
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
978
ref
2036
ref
cons
nil
cons
cons
2800
def
1707
ref
subst
1708
ref
999
ref
2311
ref
subst
1708
ref
2540
remove
appThm
trans
2801
def
appThm
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2553
ref
trans
appThm
2554
ref
trans
sym
81
ref
eqMp
subst
1008
ref
nil
192
ref
249
remove
nil
cons
2802
def
cons
2803
def
nil
cons
nil
cons
cons
2804
def
1236
ref
subst
appThm
2804
ref
2427
ref
subst
1708
ref
2441
ref
2329
ref
subst
2805
def
appThm
trans
2806
def
trans
2807
def
eqMp
2808
def
eqMp
eqMp
trans
appThm
2809
def
2102
ref
appThm
nil
581
ref
208
ref
207
ref
225
remove
appTerm
appTerm
2810
def
nil
cons
2811
def
cons
192
ref
2786
remove
cons
2812
def
2110
ref
cons
cons
nil
cons
cons
2147
ref
subst
nil
581
ref
223
remove
nil
cons
2813
def
cons
192
ref
2789
remove
cons
2814
def
2152
ref
cons
cons
nil
cons
cons
2158
ref
subst
nil
2518
ref
192
ref
2796
remove
cons
957
ref
2159
ref
cons
nil
cons
2815
def
cons
cons
nil
cons
cons
2816
def
1189
ref
306
ref
2114
remove
2124
ref
subst
2099
ref
2127
remove
appThm
trans
appThm
2156
ref
appThm
2157
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
2817
def
subst
nil
2438
ref
1083
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
2442
remove
appThm
trans
2818
def
eqMp
eqMp
eqMp
2819
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
2810
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
192
ref
207
ref
207
ref
207
ref
207
ref
2785
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2820
def
2175
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
2819
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
2780
ref
nil
cons
cons
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
2780
remove
appTerm
nil
cons
cons
44
ref
2778
ref
2188
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
2189
remove
cons
581
ref
2777
ref
nil
cons
cons
nil
cons
2821
def
cons
nil
cons
cons
1174
ref
subst
eqMp
eqMp
eqMp
20
ref
"_32900"
16
ref
var
2822
def
177
ref
194
ref
202
ref
218
ref
235
ref
239
ref
235
ref
2822
remove
varTerm
appTerm
2186
ref
appTerm
2187
ref
259
ref
appTerm
2823
def
appTerm
2824
def
appTerm
244
ref
appTerm
appTerm
2824
ref
appTerm
202
ref
2824
remove
appTerm
246
ref
appTerm
appTerm
2825
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
2825
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
494
ref
appTerm
absTerm
2826
def
2225
remove
253
ref
appTerm
2827
def
appTerm
2828
def
appTerm
refl
2826
ref
510
ref
appTerm
betaConv
appThm
92
ref
2828
remove
betaConv
appThm
177
ref
194
ref
202
ref
218
ref
235
ref
239
ref
235
ref
510
ref
appTerm
2829
def
2186
ref
appTerm
2823
ref
appTerm
2830
def
appTerm
244
ref
appTerm
appTerm
2830
ref
appTerm
202
ref
2830
remove
appTerm
246
ref
appTerm
appTerm
2831
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
2831
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
494
ref
appTerm
refl
appThm
trans
2826
remove
refl
nil
43
ref
465
ref
2827
ref
appTerm
nil
cons
cons
44
ref
20
ref
2827
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
2827
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
eqMp
sym
185
ref
2735
ref
397
ref
2736
ref
2737
ref
2255
ref
nil
"t2"
186
ref
var
2832
def
2823
ref
nil
cons
2833
def
cons
"t1"
186
ref
var
2834
def
2196
remove
cons
nil
cons
cons
nil
cons
cons
320
ref
"t2"
9
ref
var
2835
def
154
ref
234
ref
0
ref
16
ref
0
ref
9
ref
0
ref
9
ref
167
ref
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
2836
def
510
ref
appTerm
"t1"
9
ref
var
2837
def
varTerm
2838
def
appTerm
2835
ref
varTerm
2839
def
appTerm
appTerm
2839
ref
appTerm
absTerm
2840
def
2839
ref
appTerm
2841
def
betaConv
2837
ref
118
ref
2840
ref
appTerm
2842
def
absTerm
2843
def
2838
ref
appTerm
2844
def
betaConv
nil
118
ref
2843
ref
appTerm
2845
def
axiom
nil
43
ref
2845
remove
nil
cons
cons
44
ref
2844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2843
remove
nil
cons
cons
33
ref
2838
ref
nil
cons
cons
nil
cons
2846
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2842
remove
nil
cons
cons
44
ref
2841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2840
remove
nil
cons
cons
33
ref
2839
ref
nil
cons
cons
nil
cons
2847
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2848
def
subst
2849
def
subst
2850
def
appThm
2742
ref
appThm
appThm
2850
ref
appThm
397
ref
2850
remove
appThm
2743
ref
appThm
appThm
2851
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
2851
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
2746
ref
appThm
sym
nil
192
ref
244
ref
nil
cons
2852
def
cons
2853
def
581
ref
2833
ref
cons
nil
cons
cons
nil
cons
cons
2759
ref
subst
sym
nil
957
ref
2833
ref
cons
2853
ref
nil
cons
2854
def
cons
nil
cons
cons
957
ref
2761
remove
466
ref
630
ref
246
ref
appTerm
appTerm
1529
ref
246
ref
appTerm
appTerm
2855
def
appTerm
2856
def
absTerm
2857
def
961
ref
appTerm
2858
def
betaConv
192
ref
299
ref
2857
ref
appTerm
2859
def
absTerm
2860
def
195
ref
appTerm
2861
def
betaConv
649
ref
192
ref
649
ref
957
ref
2856
remove
assume
sym
20
ref
2855
remove
appTerm
963
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2769
remove
246
ref
appTerm
2862
def
betaConv
2772
remove
nil
2773
remove
44
ref
2862
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2774
remove
304
ref
2512
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
nil
43
ref
299
ref
2860
ref
appTerm
nil
cons
cons
44
ref
2861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2860
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2859
remove
nil
cons
cons
44
ref
2858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2857
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
2863
def
subst
sym
192
ref
51
ref
466
ref
202
ref
244
ref
appTerm
246
ref
appTerm
2864
def
appTerm
2865
def
195
ref
appTerm
appTerm
2866
def
570
ref
202
ref
2823
ref
appTerm
246
ref
appTerm
2867
def
appTerm
appTerm
absTerm
2868
def
231
ref
appTerm
betaConv
sym
51
ref
2865
ref
231
ref
appTerm
2869
def
appTerm
refl
579
ref
nil
957
ref
2512
ref
cons
2870
def
192
ref
2417
ref
cons
2871
def
2749
ref
cons
cons
nil
cons
cons
1664
ref
subst
2256
remove
trans
2872
def
appThm
1180
remove
trans
appThm
nil
75
ref
2869
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
921
ref
nil
581
ref
243
remove
nil
cons
2873
def
cons
1184
ref
957
ref
475
remove
nil
cons
2874
def
cons
nil
cons
2875
def
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
241
remove
nil
cons
2876
def
cons
nil
cons
nil
cons
cons
nil
978
ref
2155
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
998
ref
2116
ref
cons
nil
cons
cons
2098
ref
subst
2099
ref
2546
remove
1236
ref
subst
appThm
trans
appThm
trans
2877
def
subst
eqMp
appThm
2878
def
2102
ref
appThm
nil
2513
ref
192
ref
2874
remove
cons
2110
ref
cons
cons
nil
cons
cons
2147
ref
subst
nil
1736
ref
192
ref
2876
ref
cons
2879
def
2152
ref
cons
cons
nil
cons
cons
2880
def
1189
ref
306
ref
nil
2424
ref
1196
ref
cons
nil
cons
cons
2881
def
2098
ref
subst
2099
ref
nil
2428
ref
1711
ref
cons
nil
cons
cons
2882
def
2098
ref
subst
2099
ref
2019
ref
2098
ref
subst
2099
ref
2098
ref
appThm
2883
def
trans
2884
def
appThm
2885
def
trans
2886
def
appThm
trans
2887
def
appThm
2156
ref
appThm
2157
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
nil
192
ref
2159
remove
cons
2888
def
nil
cons
nil
cons
cons
nil
192
ref
207
ref
2423
remove
appTerm
nil
cons
cons
2889
def
2562
ref
cons
nil
cons
cons
2098
ref
subst
2099
ref
nil
2428
ref
1083
ref
cons
nil
cons
cons
2890
def
2124
ref
subst
2099
ref
1212
ref
1213
ref
subst
2891
def
appThm
trans
appThm
trans
2892
def
subst
2893
def
eqMp
eqMp
2894
def
nil
581
ref
207
ref
208
ref
208
ref
1185
remove
appTerm
appTerm
appTerm
2895
def
nil
cons
cons
2896
def
192
ref
476
ref
nil
cons
2897
def
cons
2898
def
2175
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
2894
ref
eqMp
2899
def
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
2868
ref
nil
cons
cons
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
2868
remove
appTerm
nil
cons
cons
44
ref
2865
ref
2867
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
2867
ref
nil
cons
2900
def
cons
581
ref
2864
remove
nil
cons
cons
nil
cons
2901
def
cons
nil
cons
cons
1174
ref
subst
eqMp
eqMp
eqMp
20
ref
"_32902"
16
ref
var
2902
def
177
ref
194
ref
202
ref
218
ref
235
ref
2902
remove
varTerm
appTerm
2823
ref
appTerm
2867
ref
appTerm
2903
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
2903
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
494
ref
appTerm
absTerm
2904
def
239
ref
2823
ref
appTerm
244
ref
appTerm
2905
def
appTerm
2906
def
appTerm
refl
2904
ref
510
ref
appTerm
betaConv
appThm
92
ref
2906
remove
betaConv
appThm
177
ref
194
ref
202
ref
218
ref
2829
ref
2823
remove
appTerm
2867
remove
appTerm
2907
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
2907
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
494
remove
appTerm
refl
appThm
trans
2904
remove
refl
nil
43
ref
465
ref
2905
ref
appTerm
nil
cons
cons
44
ref
20
ref
2905
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
2905
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
eqMp
sym
185
ref
2735
ref
397
ref
2736
ref
nil
2832
ref
2900
remove
cons
2834
ref
2833
remove
cons
nil
cons
cons
nil
cons
cons
2849
ref
subst
2872
remove
trans
2908
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
2908
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
2746
remove
appThm
sym
2735
ref
1566
ref
51
ref
295
ref
202
ref
218
ref
574
ref
appTerm
231
ref
appTerm
2909
def
appTerm
205
ref
232
ref
574
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
2910
def
appTerm
2911
def
appTerm
2912
def
1569
ref
appTerm
appTerm
1576
ref
216
ref
appTerm
appTerm
absTerm
2913
def
204
ref
2910
ref
appTerm
2914
def
appTerm
betaConv
sym
nil
2263
remove
957
ref
2910
remove
nil
cons
2915
def
cons
581
ref
2909
ref
nil
cons
2916
def
cons
nil
cons
cons
cons
nil
cons
cons
2482
ref
subst
sym
1566
ref
51
ref
295
ref
2909
remove
appTerm
2917
def
1569
ref
appTerm
appTerm
1576
ref
203
ref
appTerm
appTerm
absTerm
2918
def
218
ref
203
ref
appTerm
231
ref
appTerm
2919
def
appTerm
betaConv
sym
306
ref
2736
ref
nil
192
ref
958
remove
cons
960
ref
cons
nil
cons
cons
2199
ref
subst
2920
def
appThm
2102
ref
appThm
appThm
2919
ref
refl
2921
def
appThm
sym
306
ref
2736
ref
397
ref
nil
1081
ref
584
ref
cons
nil
cons
cons
2359
ref
subst
appThm
203
ref
refl
appThm
2922
def
appThm
2102
ref
appThm
appThm
2921
remove
appThm
sym
nil
957
ref
593
ref
cons
2923
def
595
ref
2564
ref
cons
cons
nil
cons
cons
957
ref
295
ref
218
ref
2272
ref
961
ref
appTerm
appTerm
195
ref
appTerm
appTerm
218
ref
961
ref
appTerm
195
ref
appTerm
appTerm
absTerm
2924
def
961
ref
appTerm
2925
def
betaConv
192
ref
299
ref
2924
ref
appTerm
2926
def
absTerm
2927
def
195
ref
appTerm
2928
def
betaConv
581
ref
299
ref
2927
ref
appTerm
2929
def
absTerm
2930
def
585
ref
appTerm
2931
def
betaConv
nil
299
ref
2930
ref
appTerm
2932
def
axiom
nil
43
ref
2932
remove
nil
cons
cons
44
ref
2931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2930
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2929
remove
nil
cons
cons
44
ref
2928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2927
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2926
remove
nil
cons
cons
44
ref
2925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2924
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
43
ref
2917
ref
2919
ref
appTerm
nil
cons
cons
44
ref
295
ref
2919
ref
appTerm
203
ref
appTerm
2933
def
nil
cons
2934
def
cons
nil
cons
2935
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
554
ref
cons
2936
def
2935
remove
cons
nil
cons
cons
113
ref
subst
2937
def
nil
595
ref
960
ref
cons
nil
cons
cons
2938
def
581
ref
45
ref
1085
ref
appTerm
2939
def
295
ref
218
ref
585
ref
appTerm
195
ref
appTerm
appTerm
585
ref
appTerm
appTerm
2940
def
absTerm
2941
def
585
ref
appTerm
2942
def
betaConv
192
ref
299
ref
2941
ref
appTerm
2943
def
absTerm
2944
def
195
ref
appTerm
2945
def
betaConv
nil
299
ref
581
ref
299
ref
192
ref
2940
ref
absTerm
2946
def
appTerm
2947
def
absTerm
2948
def
appTerm
2949
def
axiom
2950
def
nil
43
ref
2949
remove
nil
cons
2951
def
cons
2952
def
44
ref
299
ref
2944
ref
appTerm
nil
cons
2953
def
cons
nil
cons
cons
nil
cons
cons
2954
def
113
ref
subst
proveHyp
2954
ref
62
ref
subst
2954
remove
126
ref
subst
nil
303
ref
2944
remove
nil
cons
cons
2955
def
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
2943
remove
nil
cons
2956
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
2941
remove
nil
cons
cons
2957
def
nil
cons
nil
cons
cons
382
ref
subst
581
ref
nil
75
ref
2940
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
2946
ref
195
ref
appTerm
2958
def
betaConv
2948
ref
585
ref
appTerm
2959
def
betaConv
nil
2952
ref
44
ref
2959
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
2948
ref
nil
cons
cons
2960
def
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2947
remove
nil
cons
cons
44
ref
2958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2946
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
88
ref
2951
remove
cons
90
ref
2953
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
2953
remove
cons
44
ref
2945
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2955
remove
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2956
remove
cons
44
ref
2942
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2957
remove
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
2961
def
eqMp
eqMp
eqMp
302
ref
303
ref
2918
ref
nil
cons
cons
304
ref
2919
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
2918
remove
appTerm
nil
cons
cons
44
ref
2917
remove
203
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
593
ref
cons
304
ref
2916
remove
cons
nil
cons
cons
nil
cons
cons
320
ref
1585
ref
45
ref
32
ref
152
ref
51
ref
157
ref
appTerm
1588
remove
appTerm
2962
def
absTerm
2963
def
appTerm
2964
def
appTerm
2965
def
1587
ref
appTerm
2966
def
absTerm
2967
def
1586
ref
appTerm
2968
def
betaConv
33
ref
118
ref
2967
ref
appTerm
2969
def
absTerm
2970
def
36
ref
appTerm
2971
def
betaConv
nil
118
ref
33
ref
118
ref
152
ref
118
ref
1585
ref
45
ref
2962
ref
appTerm
1587
ref
appTerm
absTerm
2972
def
appTerm
2973
def
absTerm
2974
def
appTerm
2975
def
absTerm
2976
def
appTerm
2977
def
axiom
nil
43
ref
2977
ref
nil
cons
2978
def
cons
2979
def
44
ref
118
ref
2970
ref
appTerm
nil
cons
2980
def
cons
nil
cons
cons
nil
cons
cons
2981
def
113
ref
subst
proveHyp
2981
ref
62
ref
subst
2981
remove
126
ref
subst
nil
119
ref
2970
remove
nil
cons
cons
2982
def
nil
cons
nil
cons
cons
183
ref
subst
33
ref
nil
75
ref
2969
remove
nil
cons
2983
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
119
ref
2967
remove
nil
cons
cons
2984
def
nil
cons
nil
cons
cons
183
ref
subst
1585
remove
nil
75
ref
2966
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2964
remove
nil
cons
2985
def
cons
2986
def
44
ref
1587
ref
nil
cons
2987
def
cons
nil
cons
2988
def
cons
nil
cons
cons
2989
def
62
ref
subst
2989
remove
126
ref
subst
nil
2979
ref
2988
ref
cons
nil
cons
cons
2990
def
113
ref
subst
nil
2986
remove
44
ref
45
ref
2977
remove
appTerm
1587
remove
appTerm
2991
def
nil
cons
2992
def
cons
nil
cons
2993
def
cons
nil
cons
cons
113
ref
subst
nil
119
ref
152
ref
45
ref
2963
ref
156
ref
appTerm
2994
def
appTerm
2991
ref
appTerm
2995
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
183
ref
subst
152
ref
nil
75
ref
2995
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
2994
ref
nil
cons
2996
def
cons
2993
ref
cons
nil
cons
cons
2997
def
62
ref
subst
2997
remove
126
ref
subst
2994
ref
betaConv
2994
remove
assume
eqMp
nil
43
ref
2962
remove
nil
cons
2998
def
cons
2999
def
2993
remove
cons
nil
cons
cons
3000
def
113
ref
subst
proveHyp
3000
ref
62
ref
subst
3000
remove
126
ref
subst
2990
ref
62
ref
subst
2990
remove
126
ref
subst
nil
2999
remove
2988
remove
cons
nil
cons
cons
113
ref
subst
2972
ref
1586
ref
appTerm
3001
def
betaConv
2974
ref
156
ref
appTerm
3002
def
betaConv
2976
ref
36
ref
appTerm
3003
def
betaConv
nil
2979
remove
44
ref
3003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
169
ref
119
ref
2976
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2975
remove
nil
cons
cons
44
ref
3002
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2974
remove
nil
cons
cons
172
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2973
remove
nil
cons
cons
44
ref
3001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2972
remove
nil
cons
cons
33
ref
1586
remove
nil
cons
cons
nil
cons
3004
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2978
remove
cons
3005
def
90
ref
2987
remove
cons
nil
cons
3006
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
2998
remove
cons
90
ref
2992
remove
cons
nil
cons
3007
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2996
remove
cons
3007
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
118
ref
"x'"
9
ref
var
3008
def
45
ref
2963
ref
3008
remove
varTerm
appTerm
appTerm
2991
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
2965
remove
2991
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
2963
remove
nil
cons
cons
3007
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2985
remove
cons
3006
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3005
remove
90
ref
2980
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
2980
remove
cons
44
ref
2971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
2982
remove
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2983
remove
cons
44
ref
2968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
2984
remove
3004
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
3009
def
subst
eqMp
eqMp
nil
43
ref
2912
ref
2914
ref
appTerm
nil
cons
cons
44
ref
295
ref
2914
ref
appTerm
216
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
957
ref
215
ref
nil
cons
cons
192
ref
2915
remove
cons
960
ref
cons
cons
nil
cons
cons
957
ref
20
ref
629
ref
962
ref
appTerm
appTerm
1741
remove
appTerm
absTerm
3010
def
961
ref
appTerm
3011
def
betaConv
192
ref
299
ref
3010
ref
appTerm
3012
def
absTerm
3013
def
195
ref
appTerm
3014
def
betaConv
581
ref
299
ref
3013
ref
appTerm
3015
def
absTerm
3016
def
585
ref
appTerm
3017
def
betaConv
nil
299
ref
3016
ref
appTerm
3018
def
axiom
nil
43
ref
3018
remove
nil
cons
cons
44
ref
3017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3016
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3015
remove
nil
cons
cons
44
ref
3014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3013
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3012
remove
nil
cons
cons
44
ref
3011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3010
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3019
def
subst
sym
412
ref
306
ref
2745
ref
2920
remove
appThm
2102
ref
appThm
appThm
1080
ref
appThm
sym
306
ref
2745
ref
2922
remove
appThm
2102
ref
appThm
appThm
1080
ref
appThm
sym
1566
ref
51
ref
295
ref
232
ref
202
ref
571
ref
206
ref
appTerm
231
ref
appTerm
appTerm
203
ref
appTerm
appTerm
231
ref
appTerm
3020
def
appTerm
3021
def
1569
ref
appTerm
appTerm
1576
ref
206
ref
appTerm
appTerm
absTerm
3022
def
202
ref
206
ref
appTerm
232
ref
203
ref
appTerm
231
ref
appTerm
3023
def
appTerm
3024
def
appTerm
betaConv
sym
810
ref
nil
581
ref
2109
ref
cons
3025
def
nil
cons
nil
cons
cons
1008
ref
nil
192
ref
2154
remove
cons
nil
cons
nil
cons
cons
3026
def
1236
ref
subst
appThm
3026
remove
2427
ref
subst
1708
ref
2543
remove
2329
ref
subst
3027
def
appThm
trans
trans
subst
3028
def
nil
581
ref
208
ref
207
ref
229
remove
appTerm
appTerm
nil
cons
cons
595
ref
957
ref
997
ref
cons
nil
cons
cons
cons
nil
cons
cons
20
ref
"_9306"
186
ref
var
3029
def
20
ref
295
ref
3029
remove
varTerm
appTerm
961
ref
appTerm
appTerm
510
ref
appTerm
absTerm
3030
def
195
ref
appTerm
3031
def
appTerm
refl
3030
ref
1002
ref
962
ref
appTerm
3032
def
appTerm
betaConv
appThm
92
ref
3031
remove
betaConv
appThm
20
ref
295
ref
3032
ref
appTerm
3033
def
961
ref
appTerm
3034
def
appTerm
510
ref
appTerm
refl
appThm
trans
3030
remove
refl
3033
ref
195
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
75
ref
3034
remove
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
810
ref
nil
2084
remove
581
ref
3032
ref
nil
cons
3035
def
cons
nil
cons
cons
nil
cons
cons
3036
def
1777
remove
subst
appThm
nil
848
ref
466
ref
961
ref
appTerm
3032
ref
appTerm
nil
cons
cons
849
ref
466
ref
3032
remove
appTerm
961
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
848
ref
20
ref
465
ref
51
ref
851
ref
appTerm
853
ref
appTerm
appTerm
appTerm
691
ref
465
ref
851
ref
appTerm
3037
def
appTerm
465
ref
853
ref
appTerm
3038
def
appTerm
appTerm
absTerm
3039
def
853
ref
appTerm
3040
def
betaConv
849
ref
334
ref
3039
ref
appTerm
3041
def
absTerm
3042
def
851
ref
appTerm
3043
def
betaConv
nil
334
ref
3042
ref
appTerm
3044
def
axiom
nil
43
ref
3044
remove
nil
cons
cons
44
ref
3043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
3042
remove
nil
cons
cons
870
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3041
remove
nil
cons
cons
44
ref
3040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
3039
remove
nil
cons
cons
871
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3045
def
subst
trans
trans
sym
873
ref
3036
ref
192
ref
20
ref
465
ref
1106
ref
appTerm
appTerm
2050
remove
appTerm
absTerm
3046
def
195
ref
appTerm
3047
def
betaConv
581
ref
299
ref
3046
ref
appTerm
3048
def
absTerm
3049
def
585
ref
appTerm
3050
def
betaConv
nil
299
ref
3049
ref
appTerm
3051
def
axiom
nil
43
ref
3051
remove
nil
cons
cons
44
ref
3050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3049
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3048
remove
nil
cons
cons
44
ref
3047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3046
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3052
def
subst
nil
192
ref
3035
remove
cons
581
ref
973
ref
cons
nil
cons
3053
def
cons
nil
cons
cons
3054
def
192
ref
20
ref
1085
ref
appTerm
372
ref
2185
ref
662
ref
597
ref
1002
ref
2186
ref
appTerm
3055
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3056
def
195
ref
appTerm
3057
def
betaConv
581
ref
299
ref
3056
ref
appTerm
3058
def
absTerm
3059
def
585
ref
appTerm
3060
def
betaConv
nil
299
ref
3059
ref
appTerm
3061
def
axiom
nil
43
ref
3061
remove
nil
cons
cons
44
ref
3060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3059
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3058
remove
nil
cons
cons
44
ref
3057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3056
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3062
def
subst
trans
1430
ref
2185
ref
3033
ref
refl
nil
2197
ref
3053
remove
cons
nil
cons
cons
1063
ref
subst
appThm
absThm
appThm
trans
appThm
3054
remove
3052
ref
subst
3036
remove
3062
remove
subst
trans
1430
ref
2185
ref
295
ref
961
ref
appTerm
3063
def
refl
nil
192
ref
3055
remove
nil
cons
cons
581
ref
1538
ref
cons
nil
cons
3064
def
cons
nil
cons
cons
1054
ref
subst
1008
ref
nil
2197
remove
3064
remove
cons
nil
cons
cons
1063
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
43
ref
691
ref
372
ref
2185
ref
3033
ref
1002
ref
1529
ref
2186
ref
appTerm
appTerm
appTerm
3065
def
absTerm
3066
def
appTerm
3067
def
appTerm
372
ref
2185
ref
3063
ref
1002
ref
1002
ref
202
ref
962
remove
appTerm
2186
ref
appTerm
appTerm
appTerm
appTerm
3068
def
absTerm
3069
def
appTerm
3070
def
appTerm
3071
def
nil
cons
cons
nil
cons
nil
cons
cons
618
ref
subst
sym
nil
43
ref
465
ref
3071
remove
appTerm
3072
def
nil
cons
3073
def
cons
520
ref
cons
nil
cons
cons
3074
def
62
ref
subst
3074
remove
126
ref
subst
637
remove
nil
639
ref
520
ref
cons
nil
cons
cons
3075
def
113
ref
subst
proveHyp
3075
ref
62
ref
subst
3075
remove
126
ref
subst
nil
"_9309"
186
ref
var
3076
def
973
remove
cons
"_9308"
186
ref
var
3077
def
590
ref
cons
nil
cons
cons
nil
cons
cons
192
ref
295
ref
202
ref
3077
remove
varTerm
3078
def
appTerm
195
ref
appTerm
appTerm
630
ref
3078
ref
appTerm
appTerm
absTerm
3079
def
3076
remove
varTerm
3080
def
appTerm
3081
def
betaConv
635
remove
3078
ref
appTerm
3082
def
betaConv
nil
639
remove
44
ref
3082
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
676
remove
304
ref
3078
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
3079
ref
appTerm
nil
cons
cons
44
ref
3081
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3079
remove
nil
cons
cons
304
ref
3080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
2472
remove
1530
ref
appTerm
nil
cons
cons
44
ref
3033
ref
1002
ref
1530
remove
appTerm
appTerm
nil
cons
3083
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_9313"
186
ref
var
3084
def
1540
remove
cons
"_9312"
186
ref
var
3085
def
1538
remove
cons
nil
cons
cons
nil
cons
cons
nil
43
ref
295
ref
3085
remove
varTerm
3086
def
appTerm
3084
remove
varTerm
3087
def
appTerm
3088
def
nil
cons
3089
def
cons
44
ref
295
ref
1002
ref
3086
remove
appTerm
appTerm
1002
ref
3087
remove
appTerm
appTerm
nil
cons
3090
def
cons
nil
cons
cons
nil
cons
cons
3091
def
62
ref
subst
3091
remove
126
ref
subst
1008
ref
3088
remove
assume
appThm
eqMp
nil
88
ref
3089
remove
cons
90
ref
3090
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
43
ref
3083
remove
cons
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"_9310"
186
ref
var
3092
def
590
ref
cons
nil
cons
nil
cons
cons
nil
43
ref
3033
remove
1002
ref
1529
ref
3092
remove
varTerm
3093
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
952
ref
subst
2185
ref
465
ref
3065
remove
appTerm
absTerm
3094
def
3093
ref
appTerm
3095
def
betaConv
nil
43
ref
3067
remove
nil
cons
cons
44
ref
3070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1371
ref
44
ref
20
ref
465
ref
1470
remove
48
ref
appTerm
appTerm
appTerm
51
ref
604
remove
appTerm
3096
def
1372
ref
appTerm
appTerm
nil
cons
3097
def
cons
nil
cons
3098
def
cons
nil
cons
cons
3099
def
62
ref
subst
3099
remove
126
ref
subst
20
ref
"_534"
16
ref
var
3100
def
20
ref
465
ref
691
ref
3100
remove
varTerm
3101
def
appTerm
48
ref
appTerm
appTerm
appTerm
51
ref
465
ref
3101
remove
appTerm
appTerm
1372
ref
appTerm
appTerm
absTerm
3102
def
46
ref
appTerm
3103
def
appTerm
refl
3104
def
3102
ref
510
ref
appTerm
betaConv
appThm
92
ref
3103
remove
betaConv
appThm
3105
def
20
ref
465
ref
726
remove
48
ref
appTerm
appTerm
appTerm
808
ref
1372
ref
appTerm
appTerm
refl
appThm
trans
3102
remove
refl
3106
def
1383
ref
appThm
eqMp
sym
92
ref
810
ref
85
ref
735
ref
subst
3107
def
appThm
appThm
812
ref
1385
ref
appThm
1387
ref
341
ref
subst
3108
def
trans
appThm
1398
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
1388
ref
90
ref
3097
ref
cons
nil
cons
3109
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
1392
ref
3098
remove
cons
nil
cons
cons
3110
def
62
ref
subst
3110
remove
126
ref
subst
3104
remove
"_532"
16
ref
var
3111
def
20
ref
465
ref
691
ref
3111
remove
varTerm
3112
def
appTerm
48
ref
appTerm
appTerm
appTerm
51
ref
465
ref
3112
remove
appTerm
appTerm
1372
ref
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
3105
remove
20
ref
465
ref
748
remove
48
ref
appTerm
appTerm
appTerm
819
ref
1372
ref
appTerm
appTerm
refl
appThm
trans
3106
remove
1396
ref
appThm
eqMp
sym
92
ref
810
ref
85
ref
754
ref
subst
appThm
820
ref
trans
appThm
821
ref
1385
remove
appThm
1387
ref
826
ref
subst
3113
def
trans
appThm
832
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
1399
ref
3109
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1401
ref
nil
1399
ref
1402
ref
778
ref
3097
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
subst
291
ref
nil
303
ref
3066
ref
nil
cons
cons
nil
cons
nil
cons
cons
320
ref
92
ref
810
ref
32
ref
refl
3114
def
1422
remove
appThm
appThm
appThm
118
ref
1423
remove
appTerm
refl
appThm
sym
1424
remove
128
ref
20
ref
465
ref
1444
ref
appTerm
appTerm
118
ref
1425
remove
appTerm
appTerm
absTerm
3115
def
129
ref
appTerm
3116
def
betaConv
nil
1315
ref
3115
ref
appTerm
3117
def
axiom
nil
43
ref
3117
remove
nil
cons
cons
44
ref
3116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
3115
remove
nil
cons
cons
1324
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3118
def
subst
eqMp
subst
3119
def
subst
649
ref
2185
ref
810
ref
3066
remove
2186
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
303
ref
3069
ref
nil
cons
cons
nil
cons
nil
cons
cons
3119
remove
subst
649
ref
2185
ref
810
ref
3069
remove
2186
remove
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
3072
remove
assume
eqMp
nil
88
ref
299
ref
3094
ref
appTerm
nil
cons
3120
def
cons
90
ref
299
ref
2185
ref
465
ref
3068
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
proveHyp
nil
43
ref
3120
remove
cons
44
ref
3095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3094
remove
nil
cons
cons
304
ref
3093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
954
remove
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3073
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
3028
remove
eqMp
appThm
811
ref
trans
sym
81
ref
eqMp
nil
43
ref
465
ref
995
remove
appTerm
nil
cons
cons
44
ref
3021
ref
3024
ref
appTerm
nil
cons
3121
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"b"
186
ref
var
3122
def
593
ref
cons
3123
def
595
ref
2451
ref
976
ref
cons
nil
cons
3124
def
cons
cons
nil
cons
cons
192
ref
45
ref
1096
remove
appTerm
295
ref
232
ref
202
ref
571
ref
2453
ref
appTerm
195
ref
appTerm
appTerm
3122
ref
varTerm
3125
def
appTerm
appTerm
195
ref
appTerm
appTerm
2454
remove
232
ref
3125
ref
appTerm
195
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3126
def
195
ref
appTerm
3127
def
betaConv
3122
ref
299
ref
3126
ref
appTerm
3128
def
absTerm
3129
def
3125
ref
appTerm
3130
def
betaConv
2451
ref
299
ref
3129
ref
appTerm
3131
def
absTerm
3132
def
2453
ref
appTerm
3133
def
betaConv
nil
299
ref
3132
ref
appTerm
3134
def
axiom
nil
43
ref
3134
remove
nil
cons
cons
44
ref
3133
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3132
remove
nil
cons
cons
304
ref
2470
ref
cons
nil
cons
3135
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3131
remove
nil
cons
cons
44
ref
3130
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3129
remove
nil
cons
cons
304
ref
3125
ref
nil
cons
3136
def
cons
nil
cons
3137
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3128
remove
nil
cons
cons
44
ref
3127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3126
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
nil
43
ref
3121
remove
cons
44
ref
295
ref
3024
ref
appTerm
206
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
192
ref
3023
ref
nil
cons
cons
2564
remove
cons
nil
cons
cons
192
ref
20
ref
629
ref
585
ref
appTerm
appTerm
1095
ref
appTerm
absTerm
3138
def
195
ref
appTerm
3139
def
betaConv
581
ref
299
ref
3138
ref
appTerm
3140
def
absTerm
3141
def
585
ref
appTerm
3142
def
betaConv
nil
299
ref
3141
ref
appTerm
3143
def
axiom
nil
43
ref
3143
remove
nil
cons
cons
44
ref
3142
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3141
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3140
remove
nil
cons
cons
44
ref
3139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3138
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3144
def
subst
sym
nil
2936
remove
44
ref
295
ref
3023
ref
appTerm
209
ref
appTerm
3145
def
nil
cons
3146
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
3147
def
2938
remove
192
ref
2939
ref
295
ref
232
ref
585
ref
appTerm
195
ref
appTerm
appTerm
209
ref
appTerm
appTerm
absTerm
3148
def
195
ref
appTerm
3149
def
betaConv
581
ref
299
ref
3148
ref
appTerm
3150
def
absTerm
3151
def
585
ref
appTerm
3152
def
betaConv
nil
299
ref
3151
ref
appTerm
3153
def
axiom
3154
def
nil
43
ref
3153
remove
nil
cons
cons
3155
def
44
ref
3152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3151
ref
nil
cons
cons
3156
def
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3150
remove
nil
cons
cons
44
ref
3149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3148
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
3157
def
eqMp
eqMp
eqMp
eqMp
302
ref
303
ref
3022
ref
nil
cons
cons
304
ref
3024
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3022
remove
appTerm
nil
cons
cons
44
ref
3021
remove
206
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
976
ref
cons
304
ref
3020
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
eqMp
appThm
425
ref
appThm
eqMp
eqMp
eqMp
302
ref
303
ref
2913
ref
nil
cons
cons
304
ref
2914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
2913
remove
appTerm
nil
cons
cons
44
ref
2912
remove
216
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
216
ref
nil
cons
3158
def
cons
304
ref
2911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
ref
subst
eqMp
appThm
eqMp
eqMp
proveHyp
eqMp
eqMp
proveHyp
eqMp
eqMp
272
ref
273
ref
495
remove
nil
cons
cons
274
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
nil
88
ref
2733
remove
cons
90
ref
562
ref
cons
nil
cons
3159
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2731
remove
cons
3159
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
270
ref
146
ref
45
ref
2228
ref
147
ref
appTerm
appTerm
496
ref
appTerm
absTerm
appTerm
nil
cons
cons
2727
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
272
ref
273
ref
2228
remove
nil
cons
cons
3159
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
nil
43
ref
51
ref
2226
remove
appTerm
2726
remove
appTerm
nil
cons
cons
44
ref
45
ref
2230
remove
appTerm
496
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
ref
562
remove
cons
44
ref
2229
remove
nil
cons
cons
2725
remove
nil
cons
cons
cons
nil
cons
cons
nil
43
ref
52
ref
790
ref
appTerm
nil
cons
3160
def
cons
44
ref
45
ref
49
ref
appTerm
3161
def
784
remove
appTerm
nil
cons
3162
def
cons
nil
cons
cons
nil
cons
cons
3163
def
62
ref
subst
3163
remove
126
ref
subst
nil
526
ref
44
ref
846
ref
cons
nil
cons
3164
def
cons
nil
cons
cons
3165
def
62
ref
subst
3165
remove
126
ref
subst
nil
89
remove
90
ref
790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3166
def
104
ref
subst
113
ref
proveHyp
106
remove
eqMp
nil
530
ref
3164
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
3166
remove
392
ref
subst
eqMp
eqMp
nil
535
ref
90
ref
846
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
3160
remove
cons
90
ref
3162
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
3167
def
subst
eqMp
eqMp
eqMp
nil
88
ref
2210
remove
cons
3159
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
2208
remove
cons
3159
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
2204
ref
1154
ref
appTerm
appTerm
496
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
2205
remove
appTerm
496
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2204
remove
nil
cons
cons
3159
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
561
remove
cons
3159
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
505
ref
cons
3168
def
90
ref
503
ref
cons
nil
cons
3169
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
511
ref
cons
3170
def
507
remove
cons
nil
cons
cons
3171
def
62
ref
subst
3171
remove
126
ref
subst
454
ref
291
ref
2255
ref
463
ref
assume
3172
def
appThm
457
ref
refl
3173
def
appThm
3174
def
appThm
509
ref
454
ref
306
ref
3172
ref
appThm
1205
ref
appThm
1027
ref
trans
appThm
291
ref
810
ref
291
ref
nil
594
ref
2760
ref
cons
nil
cons
cons
192
ref
20
ref
1768
remove
appTerm
2750
remove
appTerm
3175
def
absTerm
3176
def
195
ref
appTerm
3177
def
betaConv
581
ref
299
ref
3176
ref
appTerm
3178
def
absTerm
3179
def
585
ref
appTerm
3180
def
betaConv
649
ref
581
ref
649
ref
192
ref
3175
remove
assume
sym
2751
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2758
remove
eqMp
nil
43
ref
299
ref
3179
ref
appTerm
nil
cons
cons
44
ref
3180
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3179
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3178
remove
nil
cons
cons
44
ref
3177
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3176
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3181
def
subst
3182
def
appThm
473
ref
refl
3183
def
appThm
appThm
appThm
810
ref
291
ref
nil
594
ref
2854
ref
cons
nil
cons
cons
3181
ref
subst
appThm
477
ref
refl
appThm
appThm
appThm
appThm
nil
75
ref
51
ref
465
ref
51
ref
465
ref
460
ref
253
ref
appTerm
3184
def
appTerm
3185
def
appTerm
473
ref
appTerm
appTerm
appTerm
465
ref
51
ref
465
ref
460
ref
244
ref
appTerm
3186
def
appTerm
appTerm
477
remove
appTerm
appTerm
3187
def
appTerm
3188
def
nil
cons
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
appThm
appThm
appThm
145
remove
176
ref
376
ref
refl
2735
ref
580
ref
412
ref
3172
remove
appThm
425
ref
appThm
appThm
appThm
appThm
absThm
appThm
appThm
sym
nil
43
ref
3185
remove
nil
cons
3189
def
cons
3190
def
44
ref
45
ref
51
ref
1094
ref
457
ref
appTerm
3191
def
appTerm
3192
def
462
ref
3188
remove
appTerm
appTerm
appTerm
144
ref
176
ref
376
ref
194
ref
204
ref
205
ref
209
ref
appTerm
3193
def
214
ref
appTerm
3194
def
appTerm
appTerm
3195
def
appTerm
absTerm
3196
def
appTerm
3197
def
appTerm
nil
cons
3198
def
cons
nil
cons
3199
def
cons
nil
cons
cons
3200
def
62
ref
subst
3200
remove
126
ref
subst
454
ref
3192
ref
refl
3201
def
509
ref
291
ref
810
ref
291
ref
810
ref
nil
3190
remove
44
ref
20
ref
3184
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
3184
ref
nil
cons
3202
def
cons
3203
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
3204
def
appThm
811
ref
trans
appThm
3183
ref
appThm
nil
75
ref
473
ref
nil
cons
3205
def
cons
nil
cons
nil
cons
cons
3206
def
341
ref
subst
trans
appThm
appThm
3187
ref
refl
3207
def
appThm
appThm
appThm
appThm
3197
ref
refl
3208
def
appThm
sym
nil
43
ref
3192
ref
462
ref
51
ref
465
ref
473
ref
appTerm
3209
def
appTerm
3187
ref
appTerm
3210
def
appTerm
3211
def
appTerm
nil
cons
3212
def
cons
44
ref
3197
ref
nil
cons
3213
def
cons
nil
cons
3214
def
cons
nil
cons
cons
3215
def
62
ref
subst
3215
remove
126
ref
subst
nil
88
ref
3191
remove
nil
cons
cons
3216
def
90
ref
3211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
nil
88
ref
554
remove
cons
3217
def
90
ref
3210
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3218
def
104
ref
subst
3218
remove
392
ref
subst
nil
88
ref
3209
remove
nil
cons
3219
def
cons
90
ref
3187
ref
nil
cons
3220
def
cons
nil
cons
3221
def
cons
nil
cons
cons
3222
def
104
ref
subst
3222
remove
392
ref
subst
nil
43
ref
3220
ref
cons
3214
ref
cons
nil
cons
cons
113
ref
subst
1430
ref
2185
ref
295
ref
203
ref
appTerm
3223
def
refl
nil
192
ref
2776
ref
259
ref
appTerm
3224
def
nil
cons
3225
def
cons
3226
def
2749
remove
cons
nil
cons
cons
2199
ref
subst
appThm
absThm
appThm
sym
nil
581
ref
3225
remove
cons
2264
ref
cons
nil
cons
cons
192
ref
20
ref
2200
remove
appTerm
1106
ref
appTerm
3227
def
absTerm
3228
def
195
ref
appTerm
3229
def
betaConv
581
ref
299
ref
3228
ref
appTerm
3230
def
absTerm
3231
def
585
ref
appTerm
3232
def
betaConv
649
ref
581
ref
649
ref
192
ref
3227
remove
assume
sym
2201
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2202
remove
eqMp
nil
43
ref
299
ref
3231
ref
appTerm
nil
cons
cons
44
ref
3232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3231
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3230
remove
nil
cons
cons
44
ref
3229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3228
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
594
remove
3226
ref
nil
cons
cons
nil
cons
cons
3181
remove
subst
trans
810
ref
2269
remove
nil
2784
ref
192
ref
1181
remove
cons
3233
def
957
ref
471
remove
nil
cons
3234
def
cons
nil
cons
3235
def
cons
cons
nil
cons
cons
2089
ref
subst
2792
remove
2089
ref
subst
2808
remove
eqMp
eqMp
3236
def
appThm
nil
43
ref
3219
remove
cons
44
ref
20
ref
473
remove
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
3205
remove
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
trans
appThm
811
ref
trans
trans
sym
81
ref
eqMp
eqMp
nil
43
ref
372
ref
2185
ref
3223
ref
2187
remove
3224
ref
appTerm
appTerm
absTerm
3237
def
appTerm
3238
def
nil
cons
cons
44
ref
45
ref
3187
ref
appTerm
3197
ref
appTerm
3239
def
nil
cons
3240
def
cons
nil
cons
3241
def
cons
nil
cons
cons
113
ref
subst
nil
303
ref
"pos1"
186
ref
var
3242
def
45
ref
3237
ref
3242
ref
varTerm
3243
def
appTerm
3244
def
appTerm
3239
ref
appTerm
3245
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
3242
ref
nil
75
ref
3245
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3244
ref
nil
cons
3246
def
cons
3241
ref
cons
nil
cons
cons
3247
def
62
ref
subst
3247
remove
126
ref
subst
3244
ref
betaConv
3244
remove
assume
eqMp
nil
43
ref
3223
remove
202
ref
3243
ref
appTerm
3248
def
3224
remove
appTerm
3249
def
appTerm
3250
def
nil
cons
3251
def
cons
3241
remove
cons
nil
cons
cons
3252
def
113
ref
subst
proveHyp
3252
ref
62
ref
subst
3252
remove
126
ref
subst
20
ref
"_32874"
186
ref
var
3253
def
45
ref
465
ref
51
ref
465
ref
239
ref
3253
remove
varTerm
3254
def
appTerm
3255
def
244
ref
appTerm
appTerm
appTerm
3255
remove
476
ref
appTerm
appTerm
appTerm
appTerm
144
ref
176
ref
376
ref
194
ref
202
ref
3254
remove
appTerm
3194
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3256
def
203
ref
appTerm
3257
def
appTerm
refl
3256
ref
3249
ref
appTerm
betaConv
appThm
92
ref
3257
remove
betaConv
appThm
45
ref
465
ref
51
ref
465
ref
239
ref
3249
ref
appTerm
3258
def
244
ref
appTerm
3259
def
appTerm
3260
def
appTerm
3258
ref
476
ref
appTerm
3261
def
appTerm
appTerm
appTerm
144
ref
176
ref
376
ref
194
ref
202
ref
3249
ref
appTerm
3194
ref
appTerm
appTerm
3262
def
appTerm
absTerm
3263
def
appTerm
3264
def
appTerm
3265
def
refl
appThm
trans
3256
remove
refl
3250
remove
assume
3266
def
appThm
eqMp
sym
nil
43
ref
3260
remove
nil
cons
3267
def
cons
3268
def
44
ref
3265
remove
nil
cons
3269
def
cons
nil
cons
3270
def
cons
nil
cons
cons
3271
def
62
ref
subst
3271
remove
126
ref
subst
454
ref
810
ref
291
ref
810
ref
nil
3268
remove
44
ref
20
ref
3259
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
3259
ref
nil
cons
3272
def
cons
3273
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
811
ref
trans
appThm
3261
ref
refl
3274
def
appThm
nil
75
ref
3261
ref
nil
cons
cons
nil
cons
nil
cons
cons
3275
def
341
ref
subst
trans
appThm
appThm
3264
ref
refl
3276
def
appThm
sym
20
ref
"_32882"
186
ref
var
3277
def
239
ref
3277
remove
varTerm
appTerm
231
ref
appTerm
absTerm
3278
def
203
ref
appTerm
3279
def
appTerm
refl
3278
ref
3249
ref
appTerm
betaConv
appThm
92
ref
3279
remove
betaConv
appThm
3258
ref
231
ref
appTerm
3280
def
refl
appThm
trans
3278
remove
refl
3266
remove
appThm
eqMp
2270
remove
eqMp
3281
def
nil
43
ref
3280
ref
nil
cons
3282
def
cons
44
ref
45
ref
465
ref
3261
remove
appTerm
appTerm
3264
ref
appTerm
3283
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
2185
remove
295
ref
3249
ref
appTerm
3284
def
2188
remove
appTerm
absTerm
3285
def
3248
ref
207
ref
207
ref
207
ref
207
ref
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
207
ref
250
remove
appTerm
appTerm
appTerm
appTerm
3286
def
appTerm
appTerm
appTerm
appTerm
3287
def
appTerm
appTerm
appTerm
appTerm
3288
def
appTerm
3289
def
appTerm
betaConv
sym
3284
ref
refl
nil
957
ref
2183
ref
cons
192
ref
3288
ref
nil
cons
cons
581
ref
3243
ref
nil
cons
3290
def
cons
nil
cons
3291
def
cons
cons
nil
cons
cons
1664
ref
subst
appThm
sym
306
ref
3248
ref
refl
3292
def
3236
remove
appThm
appThm
3292
ref
202
ref
3288
remove
appTerm
refl
2101
remove
appThm
nil
581
ref
3287
remove
nil
cons
cons
2108
remove
3235
ref
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
3286
remove
nil
cons
cons
2791
remove
cons
nil
cons
cons
2528
ref
306
ref
nil
2153
remove
2113
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
2117
ref
2311
ref
subst
1708
ref
1008
ref
2125
ref
appThm
2531
ref
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2538
ref
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
2798
remove
2541
ref
306
ref
1008
ref
2170
remove
appThm
2548
remove
trans
appThm
1720
ref
appThm
2553
ref
trans
appThm
2554
ref
trans
sym
81
ref
eqMp
subst
2807
remove
eqMp
eqMp
eqMp
trans
appThm
appThm
nil
304
ref
3248
ref
472
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3285
ref
nil
cons
cons
3293
def
304
ref
3289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3285
ref
appTerm
3294
def
nil
cons
cons
44
ref
45
ref
3280
remove
appTerm
3295
def
3283
remove
appTerm
3296
def
nil
cons
3297
def
cons
nil
cons
3298
def
cons
nil
cons
cons
113
ref
subst
nil
303
ref
191
ref
45
ref
3285
ref
203
ref
appTerm
3299
def
appTerm
3296
ref
appTerm
3300
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
191
ref
nil
75
ref
3300
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3299
ref
nil
cons
3301
def
cons
3298
ref
cons
nil
cons
cons
3302
def
62
ref
subst
3302
remove
126
ref
subst
3299
ref
betaConv
3299
remove
assume
eqMp
nil
43
ref
3284
remove
204
ref
1176
remove
appTerm
3303
def
appTerm
3304
def
nil
cons
3305
def
cons
3298
remove
cons
nil
cons
cons
3306
def
113
ref
subst
proveHyp
3306
ref
62
ref
subst
3306
remove
126
ref
subst
20
ref
"_32890"
186
ref
var
3307
def
45
ref
239
ref
3307
remove
varTerm
3308
def
appTerm
3309
def
231
ref
appTerm
appTerm
45
ref
465
ref
3309
remove
476
ref
appTerm
appTerm
appTerm
144
ref
176
ref
376
ref
194
ref
202
ref
3308
remove
appTerm
3194
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
3310
def
3249
ref
appTerm
3311
def
appTerm
refl
3310
ref
3303
ref
appTerm
betaConv
appThm
92
ref
3311
remove
betaConv
appThm
45
ref
239
ref
3303
ref
appTerm
3312
def
231
ref
appTerm
3313
def
appTerm
3314
def
45
ref
465
ref
3312
ref
476
ref
appTerm
appTerm
appTerm
144
ref
176
ref
376
remove
194
ref
202
ref
3303
ref
appTerm
3194
ref
appTerm
appTerm
3315
def
appTerm
absTerm
3316
def
appTerm
3317
def
appTerm
appTerm
refl
appThm
trans
3310
remove
refl
3304
remove
assume
appThm
eqMp
sym
3314
ref
refl
454
ref
nil
2898
ref
581
ref
3303
ref
nil
cons
3318
def
cons
nil
cons
3319
def
cons
nil
cons
cons
2759
ref
subst
appThm
3317
ref
refl
appThm
appThm
sym
nil
43
ref
3313
ref
nil
cons
3320
def
cons
44
ref
45
ref
466
ref
476
ref
appTerm
3321
def
3303
ref
appTerm
3322
def
appTerm
3317
ref
appTerm
nil
cons
3323
def
cons
nil
cons
cons
nil
cons
cons
3324
def
62
ref
subst
3324
remove
126
ref
subst
nil
43
ref
3322
ref
nil
cons
3325
def
cons
44
ref
3317
ref
nil
cons
3326
def
cons
nil
cons
3327
def
cons
nil
cons
cons
3328
def
62
ref
subst
3328
remove
126
ref
subst
2216
ref
203
ref
appTerm
3329
def
betaConv
2222
ref
nil
2223
ref
44
ref
3329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2224
ref
304
ref
593
ref
cons
nil
cons
3330
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3331
def
nil
43
ref
45
ref
460
ref
265
ref
appTerm
3332
def
appTerm
144
ref
176
ref
2215
ref
203
ref
appTerm
3333
def
absTerm
3334
def
appTerm
3335
def
appTerm
3336
def
nil
cons
cons
3337
def
3327
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2231
ref
2264
ref
cons
nil
cons
cons
2254
remove
subst
sym
192
ref
51
ref
3312
ref
195
ref
appTerm
3338
def
appTerm
2260
remove
appTerm
absTerm
3339
def
231
ref
appTerm
betaConv
sym
291
ref
nil
75
ref
3320
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
3313
remove
assume
eqMp
3340
def
appThm
569
ref
2258
ref
appTerm
3341
def
refl
appThm
nil
75
ref
3341
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
579
ref
2336
remove
appThm
nil
583
remove
192
ref
2109
remove
cons
3342
def
2300
remove
cons
cons
nil
cons
cons
1189
ref
306
ref
2881
remove
1707
ref
subst
1708
ref
2886
remove
appThm
trans
appThm
2131
remove
appThm
2146
remove
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
3343
def
subst
nil
3025
ref
192
ref
2151
ref
cons
3344
def
2303
ref
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2424
ref
2113
ref
cons
nil
cons
cons
3345
def
2098
ref
subst
2099
ref
nil
2428
ref
2116
ref
cons
nil
cons
cons
3346
def
2311
ref
subst
1708
ref
1008
ref
2038
ref
2311
ref
subst
1708
ref
1008
ref
2311
ref
appThm
1262
remove
2329
ref
subst
trans
appThm
trans
3347
def
appThm
nil
192
ref
208
ref
1047
remove
appTerm
3348
def
nil
cons
3349
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
3350
def
appThm
trans
appThm
2331
ref
appThm
nil
2332
remove
581
ref
207
ref
208
ref
3348
ref
appTerm
3351
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
2136
ref
581
ref
3351
ref
nil
cons
3352
def
cons
nil
cons
cons
nil
cons
cons
3353
def
2080
ref
subst
nil
2140
ref
581
ref
3349
remove
cons
nil
cons
cons
nil
cons
cons
3354
def
2139
ref
subst
2536
remove
2139
ref
subst
3355
def
trans
3356
def
trans
trans
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
nil
581
ref
2151
remove
cons
3357
def
2888
ref
957
ref
2334
ref
cons
nil
cons
3358
def
cons
3359
def
cons
nil
cons
cons
2528
ref
306
ref
1008
ref
3345
remove
2311
ref
subst
1708
ref
1008
ref
3350
remove
appThm
nil
192
ref
3352
remove
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
3351
remove
appTerm
nil
cons
3360
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
2156
ref
appThm
nil
2132
ref
581
ref
3360
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
3353
remove
2139
ref
subst
3356
remove
trans
trans
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
nil
2160
ref
998
ref
2561
ref
nil
cons
3361
def
cons
cons
nil
cons
cons
3362
def
2541
ref
306
ref
1008
ref
nil
2438
ref
2113
ref
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
nil
2440
ref
2116
ref
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
2800
remove
2311
ref
subst
1708
ref
1008
ref
2801
remove
appThm
nil
192
ref
2551
remove
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
1046
remove
appTerm
3363
def
nil
cons
3364
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
3363
remove
appTerm
3365
def
nil
cons
3366
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
3365
remove
appTerm
nil
cons
3367
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
2156
ref
appThm
nil
2132
ref
581
ref
3367
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
2136
ref
581
ref
3366
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
2140
ref
581
ref
3364
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
2552
remove
2139
ref
subst
trans
trans
trans
trans
appThm
2554
ref
trans
sym
81
ref
eqMp
subst
1008
ref
nil
2438
ref
nil
cons
nil
cons
cons
3368
def
1236
ref
subst
appThm
3368
ref
2427
ref
subst
1708
ref
2444
remove
appThm
trans
3369
def
trans
3370
def
eqMp
eqMp
eqMp
eqMp
3371
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
231
ref
appTerm
3372
def
appTerm
3373
def
appTerm
3374
def
appTerm
nil
cons
cons
595
ref
957
ref
2557
remove
cons
nil
cons
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
3371
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3339
ref
nil
cons
cons
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3339
remove
appTerm
nil
cons
cons
44
ref
3312
remove
2258
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2677
remove
3319
remove
cons
nil
cons
cons
2724
ref
subst
eqMp
eqMp
nil
43
ref
3332
ref
nil
cons
3375
def
cons
3376
def
44
ref
45
ref
3335
ref
appTerm
3377
def
3317
ref
appTerm
3378
def
nil
cons
cons
nil
cons
3379
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
273
ref
176
ref
45
ref
3334
ref
178
ref
appTerm
3380
def
appTerm
3381
def
3317
ref
appTerm
3382
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2730
ref
subst
176
ref
nil
75
ref
3382
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3380
ref
nil
cons
3383
def
cons
3384
def
3327
ref
cons
nil
cons
cons
3385
def
62
ref
subst
3385
remove
126
ref
subst
3380
ref
betaConv
3380
remove
assume
eqMp
3386
def
nil
43
ref
3333
ref
nil
cons
3387
def
cons
3388
def
3327
remove
cons
nil
cons
cons
3389
def
113
ref
subst
proveHyp
3389
ref
62
ref
subst
3389
remove
126
ref
subst
3316
ref
178
ref
appTerm
betaConv
sym
185
ref
2735
ref
397
ref
2736
ref
2737
ref
2255
ref
2737
ref
2255
ref
3333
remove
assume
3390
def
appThm
2739
ref
appThm
3391
def
appThm
3390
ref
appThm
397
ref
3390
ref
appThm
2740
ref
appThm
3392
def
appThm
3393
def
appThm
2742
ref
appThm
appThm
3393
ref
appThm
397
ref
3393
remove
appThm
2743
ref
appThm
appThm
3394
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
3394
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
3315
ref
refl
3395
def
appThm
sym
3182
remove
nil
2923
remove
2760
ref
cons
nil
cons
cons
2775
remove
subst
sym
192
ref
2779
remove
570
ref
3303
ref
appTerm
appTerm
absTerm
3396
def
476
ref
appTerm
betaConv
sym
51
ref
2778
ref
476
ref
appTerm
3397
def
appTerm
refl
nil
75
ref
3325
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
3322
remove
assume
eqMp
3398
def
appThm
nil
75
ref
3397
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
2809
remove
476
ref
refl
3399
def
appThm
nil
581
ref
208
ref
207
ref
208
ref
208
ref
208
ref
468
remove
appTerm
3400
def
appTerm
appTerm
3401
def
appTerm
appTerm
3402
def
nil
cons
cons
3403
def
2812
remove
2875
ref
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
3400
remove
nil
cons
cons
3404
def
2814
remove
957
ref
2876
remove
cons
nil
cons
3405
def
cons
cons
nil
cons
cons
3406
def
2158
remove
subst
2816
remove
1189
ref
306
ref
nil
1192
ref
2155
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
2117
remove
1707
ref
subst
1708
ref
2125
remove
appThm
trans
appThm
trans
appThm
2331
ref
appThm
2333
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
3407
def
subst
2818
remove
eqMp
3408
def
eqMp
eqMp
3409
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
3402
remove
appTerm
appTerm
appTerm
appTerm
3410
def
nil
cons
cons
3411
def
2820
remove
957
ref
2897
ref
cons
3412
def
nil
cons
3413
def
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
3409
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3396
ref
nil
cons
cons
304
ref
2897
remove
cons
nil
cons
3414
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3396
remove
appTerm
nil
cons
cons
44
ref
2778
remove
3303
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
3318
ref
cons
2821
remove
cons
nil
cons
cons
1174
ref
subst
eqMp
eqMp
eqMp
20
ref
"_32892"
16
ref
var
3415
def
177
ref
194
ref
202
ref
218
ref
235
ref
239
ref
235
ref
3415
remove
varTerm
appTerm
203
ref
appTerm
204
ref
259
ref
appTerm
3416
def
appTerm
3417
def
appTerm
244
ref
appTerm
appTerm
3417
ref
appTerm
202
ref
3417
remove
appTerm
246
ref
appTerm
appTerm
3418
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
3418
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3315
ref
appTerm
absTerm
3419
def
3184
ref
appTerm
3420
def
appTerm
refl
3419
ref
510
ref
appTerm
betaConv
appThm
92
ref
3420
remove
betaConv
appThm
177
ref
194
ref
202
ref
218
ref
235
ref
239
ref
2829
ref
203
ref
appTerm
3416
ref
appTerm
3421
def
appTerm
244
ref
appTerm
appTerm
3421
ref
appTerm
202
ref
3421
remove
appTerm
246
ref
appTerm
appTerm
3422
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
3422
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3315
ref
appTerm
refl
appThm
trans
3419
remove
refl
3204
remove
appThm
eqMp
sym
185
ref
2735
ref
397
ref
2736
ref
2737
ref
2255
ref
nil
2832
ref
3416
ref
nil
cons
3423
def
cons
2834
ref
593
ref
cons
nil
cons
3424
def
cons
nil
cons
cons
3425
def
2849
ref
subst
3426
def
appThm
2742
ref
appThm
appThm
3426
ref
appThm
397
ref
3426
remove
appThm
2743
ref
appThm
appThm
3427
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
3427
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
3395
remove
appThm
sym
nil
2853
ref
581
ref
3423
ref
cons
nil
cons
cons
nil
cons
cons
2759
remove
subst
sym
nil
957
ref
3423
ref
cons
2854
ref
cons
nil
cons
cons
2863
remove
subst
sym
192
ref
2866
remove
570
ref
202
ref
3416
ref
appTerm
246
ref
appTerm
3428
def
appTerm
appTerm
absTerm
3429
def
476
ref
appTerm
betaConv
sym
51
ref
2865
ref
476
ref
appTerm
3430
def
appTerm
refl
3321
ref
refl
nil
2870
ref
2871
ref
960
ref
cons
cons
nil
cons
cons
1664
ref
subst
3431
def
appThm
3398
remove
trans
appThm
nil
75
ref
3430
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
2878
remove
3399
remove
appThm
nil
2898
remove
nil
cons
3432
def
nil
cons
cons
3433
def
nil
75
ref
570
ref
195
ref
appTerm
3434
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
192
ref
3434
remove
absTerm
3435
def
195
ref
appTerm
3436
def
betaConv
nil
299
ref
3435
ref
appTerm
3437
def
axiom
nil
43
ref
3437
remove
nil
cons
cons
44
ref
3436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3435
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
3438
def
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3429
ref
nil
cons
cons
3414
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3429
remove
appTerm
nil
cons
cons
44
ref
2865
remove
3428
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
3428
ref
nil
cons
3439
def
cons
2901
remove
cons
nil
cons
cons
1174
ref
subst
eqMp
eqMp
eqMp
20
ref
"_32894"
16
ref
var
3440
def
177
ref
194
ref
202
ref
218
ref
235
ref
3440
remove
varTerm
appTerm
3416
ref
appTerm
3428
ref
appTerm
3441
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
3441
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3315
ref
appTerm
absTerm
3442
def
239
ref
3416
ref
appTerm
244
ref
appTerm
3443
def
appTerm
3444
def
appTerm
refl
3442
ref
510
ref
appTerm
betaConv
appThm
92
ref
3444
remove
betaConv
appThm
177
ref
194
ref
202
ref
218
ref
2829
remove
3416
remove
appTerm
3428
remove
appTerm
3445
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
3445
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3315
ref
appTerm
refl
appThm
trans
3442
remove
refl
nil
43
ref
465
ref
3443
ref
appTerm
nil
cons
cons
44
ref
20
ref
3443
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
3443
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
eqMp
sym
185
ref
2735
ref
397
ref
2736
ref
nil
2832
ref
3439
remove
cons
2834
ref
3423
remove
cons
nil
cons
cons
nil
cons
cons
2849
ref
subst
3431
remove
trans
3446
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
3446
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
2735
ref
nil
957
ref
3194
ref
nil
cons
cons
3447
def
192
ref
2183
remove
cons
960
ref
cons
cons
nil
cons
cons
1664
ref
subst
580
remove
nil
3447
ref
192
ref
2512
ref
cons
3448
def
2502
ref
nil
cons
cons
cons
nil
cons
cons
1664
ref
subst
appThm
trans
appThm
3449
def
appThm
sym
192
ref
45
ref
3338
remove
appTerm
3450
def
295
ref
232
ref
3303
ref
appTerm
3451
def
195
ref
appTerm
appTerm
209
ref
appTerm
appTerm
absTerm
3452
def
231
ref
appTerm
3453
def
betaConv
3151
ref
3303
ref
appTerm
3454
def
betaConv
3154
ref
nil
3155
ref
44
ref
3454
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
3156
ref
304
ref
3318
remove
cons
nil
cons
3455
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
3452
ref
appTerm
nil
cons
cons
44
ref
3453
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3452
remove
nil
cons
cons
2181
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3314
ref
295
ref
3451
remove
231
ref
appTerm
3456
def
appTerm
209
ref
appTerm
3457
def
appTerm
nil
cons
cons
44
ref
177
ref
194
ref
202
ref
218
ref
3303
ref
appTerm
3458
def
231
ref
appTerm
3459
def
appTerm
3460
def
205
ref
3456
ref
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
194
ref
204
ref
1175
ref
202
ref
246
ref
appTerm
3194
ref
appTerm
appTerm
appTerm
appTerm
3461
def
appTerm
3462
def
nil
cons
3463
def
cons
nil
cons
3464
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
454
ref
3340
remove
appThm
3465
def
3457
ref
refl
appThm
nil
75
ref
3457
ref
nil
cons
3466
def
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
appThm
3462
remove
refl
appThm
sym
nil
43
ref
3466
ref
cons
3464
remove
cons
nil
cons
cons
3467
def
62
ref
subst
3467
remove
126
ref
subst
20
ref
"_32896"
186
ref
var
3468
def
177
ref
194
ref
3460
ref
205
ref
3468
remove
varTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3461
ref
appTerm
absTerm
3469
def
3456
remove
appTerm
3470
def
appTerm
refl
3469
ref
209
ref
appTerm
betaConv
appThm
92
ref
3470
remove
betaConv
appThm
177
ref
194
ref
3460
remove
3194
ref
appTerm
appTerm
appTerm
3461
ref
appTerm
3471
def
refl
3472
def
appThm
trans
3469
remove
refl
3457
remove
assume
appThm
eqMp
sym
192
ref
3450
remove
295
ref
3458
remove
195
ref
appTerm
appTerm
3303
ref
appTerm
appTerm
absTerm
3473
def
231
ref
appTerm
3474
def
betaConv
2948
ref
3303
ref
appTerm
3475
def
betaConv
2950
ref
nil
2952
ref
44
ref
3475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2960
ref
3455
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
3473
ref
appTerm
nil
cons
cons
44
ref
3474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3473
remove
nil
cons
cons
2181
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3314
remove
295
ref
3459
ref
appTerm
3303
ref
appTerm
3476
def
appTerm
nil
cons
cons
44
ref
3471
remove
nil
cons
3477
def
cons
nil
cons
3478
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
3465
remove
3476
ref
refl
appThm
nil
75
ref
3476
ref
nil
cons
3479
def
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
appThm
3472
remove
appThm
sym
nil
43
ref
3479
ref
cons
3478
remove
cons
nil
cons
cons
3480
def
62
ref
subst
3480
remove
126
ref
subst
20
ref
"_32898"
186
ref
var
3481
def
177
ref
194
ref
202
ref
3481
remove
varTerm
appTerm
3194
ref
appTerm
appTerm
appTerm
3461
ref
appTerm
absTerm
3482
def
3459
remove
appTerm
3483
def
appTerm
refl
3482
ref
3303
remove
appTerm
betaConv
appThm
92
ref
3483
remove
betaConv
appThm
177
ref
3315
remove
appTerm
3461
remove
appTerm
refl
appThm
trans
3482
remove
refl
3476
remove
assume
appThm
eqMp
sym
3449
remove
eqMp
eqMp
nil
88
ref
3479
remove
cons
90
ref
3477
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
3466
remove
cons
90
ref
3463
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
proveHyp
eqMp
eqMp
272
ref
273
ref
3316
remove
nil
cons
cons
274
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
nil
88
ref
3387
remove
cons
3484
def
90
ref
3326
ref
cons
nil
cons
3485
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3383
remove
cons
3486
def
3485
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
270
ref
146
ref
45
ref
3334
ref
147
ref
appTerm
appTerm
3487
def
3317
ref
appTerm
absTerm
appTerm
nil
cons
cons
3379
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
272
ref
273
ref
3334
remove
nil
cons
cons
3488
def
3485
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
nil
43
ref
51
ref
3332
remove
appTerm
3489
def
3378
remove
appTerm
nil
cons
cons
44
ref
45
ref
3336
remove
appTerm
3490
def
3317
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
ref
3326
remove
cons
44
ref
3335
remove
nil
cons
cons
3376
ref
nil
cons
cons
3491
def
cons
nil
cons
cons
3167
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
3325
remove
cons
3485
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
3320
remove
cons
90
ref
3323
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
88
ref
3305
remove
cons
90
ref
3297
remove
cons
nil
cons
3492
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3301
remove
cons
3492
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
3285
remove
1154
ref
appTerm
appTerm
3296
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
3294
remove
appTerm
3296
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
3293
remove
3492
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
88
ref
3267
ref
cons
90
ref
3269
ref
cons
nil
cons
3493
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
3272
ref
cons
3270
remove
cons
nil
cons
cons
3494
def
62
ref
subst
3494
remove
126
ref
subst
454
ref
810
ref
291
ref
810
ref
nil
75
ref
3272
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
3259
ref
assume
eqMp
3495
def
appThm
820
ref
trans
appThm
3274
remove
appThm
3275
remove
826
ref
subst
trans
appThm
811
ref
trans
appThm
3276
remove
appThm
nil
75
ref
3264
ref
nil
cons
3496
def
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
sym
2216
remove
3248
ref
253
ref
appTerm
3497
def
appTerm
3498
def
betaConv
2222
remove
nil
2223
remove
44
ref
3498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2224
remove
304
ref
3497
ref
nil
cons
3499
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
45
ref
239
ref
3497
ref
appTerm
265
ref
appTerm
3500
def
appTerm
144
remove
176
ref
2215
remove
3497
ref
appTerm
3501
def
absTerm
3502
def
appTerm
3503
def
appTerm
3504
def
nil
cons
cons
44
ref
3496
ref
cons
nil
cons
3505
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2231
ref
192
ref
3499
ref
cons
nil
cons
cons
nil
cons
cons
957
ref
2232
remove
239
ref
630
ref
259
ref
appTerm
appTerm
1529
remove
259
ref
appTerm
appTerm
3506
def
appTerm
3507
def
absTerm
3508
def
961
ref
appTerm
3509
def
betaConv
192
ref
299
ref
3508
ref
appTerm
3510
def
absTerm
3511
def
195
ref
appTerm
3512
def
betaConv
649
ref
192
ref
649
ref
957
ref
3507
remove
assume
sym
20
ref
3506
remove
appTerm
1862
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2247
remove
259
ref
appTerm
3513
def
betaConv
2250
remove
nil
2251
remove
44
ref
3513
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2252
remove
304
ref
2417
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
nil
43
ref
299
ref
3511
ref
appTerm
nil
cons
cons
44
ref
3512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3511
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3510
remove
nil
cons
cons
44
ref
3509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3508
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
sym
192
ref
51
ref
239
ref
202
ref
3497
remove
appTerm
259
ref
appTerm
3514
def
appTerm
3515
def
195
ref
appTerm
appTerm
570
ref
2257
remove
259
ref
appTerm
3516
def
appTerm
appTerm
absTerm
3517
def
244
ref
appTerm
betaConv
sym
291
ref
2255
ref
nil
2418
remove
2748
ref
3291
ref
cons
cons
nil
cons
cons
1664
ref
subst
3518
def
appThm
2742
ref
appThm
3495
ref
trans
appThm
474
ref
3516
ref
appTerm
3519
def
refl
appThm
nil
75
ref
3519
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
474
ref
refl
nil
2293
remove
3233
remove
957
ref
208
ref
208
ref
207
ref
2296
remove
appTerm
appTerm
appTerm
3520
def
nil
cons
cons
nil
cons
3521
def
cons
cons
nil
cons
cons
2147
ref
subst
2304
remove
1189
ref
306
ref
nil
1192
ref
2306
remove
cons
nil
cons
cons
2124
ref
subst
2099
ref
2308
remove
2124
ref
subst
2099
ref
2312
remove
appThm
trans
appThm
trans
appThm
208
ref
208
ref
207
ref
2128
remove
appTerm
3522
def
appTerm
3523
def
appTerm
refl
3524
def
appThm
nil
192
ref
3523
remove
nil
cons
cons
3525
def
581
ref
208
ref
207
ref
1681
remove
appTerm
3526
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
192
ref
3522
remove
nil
cons
cons
3527
def
581
ref
3526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
2142
remove
2080
ref
subst
2143
remove
trans
trans
trans
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
3528
def
subst
2335
remove
eqMp
eqMp
appThm
nil
581
ref
207
ref
208
ref
208
ref
208
ref
208
ref
259
remove
appTerm
3529
def
appTerm
appTerm
appTerm
appTerm
3530
def
nil
cons
cons
192
ref
2873
ref
cons
3531
def
3521
remove
cons
cons
nil
cons
cons
2147
ref
subst
nil
581
ref
3529
remove
nil
cons
cons
2879
ref
2303
ref
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2889
ref
2113
ref
cons
nil
cons
cons
2098
ref
subst
2099
ref
3346
ref
2124
ref
subst
2099
ref
3347
remove
appThm
3532
def
trans
appThm
trans
appThm
3524
ref
appThm
nil
3525
remove
581
ref
208
ref
207
ref
3348
remove
appTerm
3533
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
3527
remove
581
ref
3533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
3354
remove
2080
remove
subst
3355
remove
trans
trans
trans
3534
def
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
nil
2509
ref
3359
remove
cons
nil
cons
cons
1189
ref
306
ref
1008
ref
nil
2889
ref
1196
ref
cons
nil
cons
cons
3535
def
2311
ref
subst
1708
ref
1008
ref
2882
ref
1707
ref
subst
1708
ref
2884
ref
appThm
trans
3536
def
appThm
2529
remove
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
2134
remove
cons
nil
cons
nil
cons
cons
3537
def
2329
ref
subst
trans
appThm
2156
ref
appThm
2157
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
nil
2514
ref
nil
cons
nil
cons
cons
3538
def
nil
2438
remove
1196
ref
cons
nil
cons
cons
2098
ref
subst
2099
ref
nil
2440
ref
1711
remove
cons
nil
cons
cons
3539
def
2098
ref
subst
2099
ref
2168
remove
2098
ref
subst
2169
remove
trans
3540
def
appThm
trans
appThm
trans
subst
eqMp
eqMp
eqMp
3541
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
3530
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2853
ref
957
ref
207
ref
208
ref
208
ref
208
ref
3520
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
3541
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3517
ref
nil
cons
cons
304
ref
2852
ref
cons
nil
cons
3542
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3517
remove
appTerm
nil
cons
cons
44
ref
3515
remove
3516
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
3516
remove
nil
cons
cons
581
ref
3514
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2724
ref
subst
eqMp
eqMp
nil
43
ref
3500
ref
nil
cons
cons
3543
def
44
ref
45
ref
3503
ref
appTerm
3264
ref
appTerm
3544
def
nil
cons
cons
nil
cons
3545
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
273
ref
176
ref
45
ref
3502
ref
178
ref
appTerm
3546
def
appTerm
3264
ref
appTerm
3547
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2730
ref
subst
176
ref
nil
75
ref
3547
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3546
ref
nil
cons
3548
def
cons
3505
ref
cons
nil
cons
cons
3549
def
62
ref
subst
3549
remove
126
ref
subst
3546
ref
betaConv
3546
remove
assume
eqMp
nil
43
ref
3501
ref
nil
cons
3550
def
cons
3505
remove
cons
nil
cons
cons
3551
def
113
ref
subst
proveHyp
3551
ref
62
ref
subst
3551
remove
126
ref
subst
3263
ref
178
ref
appTerm
betaConv
sym
185
ref
2735
ref
397
ref
2736
ref
2737
ref
2255
ref
2737
ref
2255
ref
3501
remove
assume
3552
def
appThm
2739
remove
appThm
nil
581
ref
2747
ref
cons
3553
def
192
ref
3290
ref
cons
nil
cons
3554
def
cons
nil
cons
cons
192
ref
465
ref
2242
remove
585
ref
appTerm
3555
def
appTerm
3556
def
absTerm
3557
def
195
ref
appTerm
3558
def
betaConv
581
ref
299
ref
3557
ref
appTerm
3559
def
absTerm
3560
def
585
ref
appTerm
3561
def
betaConv
nil
299
ref
3560
ref
appTerm
3562
def
axiom
nil
43
ref
3562
remove
nil
cons
cons
44
ref
3561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3560
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3559
remove
nil
cons
cons
44
ref
3558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3557
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3556
remove
nil
cons
cons
44
ref
20
ref
3555
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
88
ref
3555
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
subst
trans
appThm
3552
ref
appThm
397
ref
3552
remove
appThm
2740
remove
appThm
3518
remove
trans
appThm
nil
2832
ref
3249
ref
nil
cons
3563
def
cons
2834
ref
3499
remove
cons
nil
cons
cons
nil
cons
cons
2849
remove
subst
trans
3564
def
appThm
2742
ref
appThm
3495
remove
trans
appThm
3564
ref
appThm
397
ref
3564
remove
appThm
2743
ref
appThm
nil
2870
ref
3226
remove
3291
ref
cons
3565
def
cons
nil
cons
cons
1664
ref
subst
3292
ref
nil
2870
ref
2871
remove
3553
remove
nil
cons
3566
def
cons
3567
def
cons
nil
cons
cons
1664
ref
subst
appThm
trans
trans
appThm
nil
2832
ref
3248
ref
2777
remove
appTerm
nil
cons
cons
2834
remove
3563
ref
cons
nil
cons
cons
nil
cons
cons
320
ref
2835
remove
154
ref
2836
remove
67
ref
appTerm
2838
ref
appTerm
2839
ref
appTerm
appTerm
2838
ref
appTerm
absTerm
3568
def
2839
remove
appTerm
3569
def
betaConv
2837
remove
118
ref
3568
ref
appTerm
3570
def
absTerm
3571
def
2838
remove
appTerm
3572
def
betaConv
nil
118
ref
3571
ref
appTerm
3573
def
axiom
nil
43
ref
3573
remove
nil
cons
cons
44
ref
3572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
3571
remove
nil
cons
cons
2846
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3570
remove
nil
cons
cons
44
ref
3569
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
3568
remove
nil
cons
cons
2847
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3574
def
subst
3575
def
subst
trans
3576
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
3576
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
2735
ref
nil
3447
ref
3565
remove
cons
nil
cons
cons
1664
ref
subst
3292
remove
nil
3447
remove
3567
remove
cons
nil
cons
cons
1664
ref
subst
appThm
trans
appThm
3577
def
appThm
sym
192
ref
45
ref
3258
remove
195
ref
appTerm
appTerm
3578
def
295
ref
232
ref
3249
ref
appTerm
3579
def
195
ref
appTerm
appTerm
209
ref
appTerm
appTerm
absTerm
3580
def
231
ref
appTerm
3581
def
betaConv
3151
remove
3249
ref
appTerm
3582
def
betaConv
3154
remove
nil
3155
remove
44
ref
3582
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
3156
remove
304
ref
3563
remove
cons
nil
cons
3583
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
3580
ref
appTerm
nil
cons
cons
44
ref
3581
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3580
remove
nil
cons
cons
2181
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3295
ref
295
ref
3579
remove
231
ref
appTerm
3584
def
appTerm
209
ref
appTerm
3585
def
appTerm
nil
cons
cons
44
ref
177
ref
194
ref
202
ref
218
ref
3249
ref
appTerm
3586
def
231
ref
appTerm
3587
def
appTerm
3588
def
205
ref
3584
ref
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
194
ref
3248
ref
2776
remove
1175
remove
3194
ref
appTerm
appTerm
appTerm
appTerm
3589
def
appTerm
3590
def
nil
cons
3591
def
cons
nil
cons
3592
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
454
ref
nil
75
ref
3282
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
3281
remove
eqMp
appThm
3593
def
3585
ref
refl
appThm
nil
75
ref
3585
ref
nil
cons
3594
def
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
appThm
3590
remove
refl
appThm
sym
nil
43
ref
3594
ref
cons
3592
remove
cons
nil
cons
cons
3595
def
62
ref
subst
3595
remove
126
ref
subst
20
ref
"_32886"
186
ref
var
3596
def
177
ref
194
ref
3588
ref
205
ref
3596
remove
varTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3589
ref
appTerm
absTerm
3597
def
3584
remove
appTerm
3598
def
appTerm
refl
3597
ref
209
ref
appTerm
betaConv
appThm
92
ref
3598
remove
betaConv
appThm
177
ref
194
ref
3588
remove
3194
ref
appTerm
appTerm
appTerm
3589
ref
appTerm
3599
def
refl
3600
def
appThm
trans
3597
remove
refl
3585
remove
assume
appThm
eqMp
sym
192
ref
3578
remove
295
ref
3586
remove
195
ref
appTerm
appTerm
3249
ref
appTerm
appTerm
absTerm
3601
def
231
ref
appTerm
3602
def
betaConv
2948
remove
3249
ref
appTerm
3603
def
betaConv
2950
remove
nil
2952
remove
44
ref
3603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
2960
remove
3583
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
3601
ref
appTerm
nil
cons
cons
44
ref
3602
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3601
remove
nil
cons
cons
2181
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3295
remove
295
ref
3587
ref
appTerm
3249
ref
appTerm
3604
def
appTerm
nil
cons
cons
44
ref
3599
remove
nil
cons
3605
def
cons
nil
cons
3606
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
3593
remove
3604
ref
refl
appThm
nil
75
ref
3604
ref
nil
cons
3607
def
cons
nil
cons
nil
cons
cons
914
ref
subst
trans
appThm
3600
remove
appThm
sym
nil
43
ref
3607
ref
cons
3606
remove
cons
nil
cons
cons
3608
def
62
ref
subst
3608
remove
126
ref
subst
20
ref
"_32888"
186
ref
var
3609
def
177
ref
194
ref
202
ref
3609
remove
varTerm
appTerm
3194
ref
appTerm
appTerm
appTerm
3589
ref
appTerm
absTerm
3610
def
3587
remove
appTerm
3611
def
appTerm
refl
3610
ref
3249
remove
appTerm
betaConv
appThm
92
ref
3611
remove
betaConv
appThm
177
ref
3262
remove
appTerm
3589
remove
appTerm
refl
appThm
trans
3610
remove
refl
3604
remove
assume
appThm
eqMp
sym
3577
remove
eqMp
eqMp
nil
88
ref
3607
remove
cons
90
ref
3605
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
3594
remove
cons
90
ref
3591
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
272
ref
273
ref
3263
remove
nil
cons
cons
274
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
nil
88
ref
3550
remove
cons
90
ref
3496
ref
cons
nil
cons
3612
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3548
remove
cons
3612
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
270
ref
146
ref
45
ref
3502
ref
147
remove
appTerm
appTerm
3264
ref
appTerm
absTerm
appTerm
nil
cons
cons
3545
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
272
ref
273
ref
3502
remove
nil
cons
cons
3612
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
nil
43
ref
51
ref
3500
remove
appTerm
3544
remove
appTerm
nil
cons
cons
44
ref
45
ref
3504
remove
appTerm
3264
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
ref
3496
remove
cons
44
ref
3503
remove
nil
cons
cons
3543
remove
nil
cons
cons
cons
nil
cons
cons
3167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
3273
ref
3493
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
3259
remove
appTerm
3613
def
betaConv
1622
ref
nil
1623
ref
44
ref
3613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
3272
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
3273
remove
90
ref
3267
remove
cons
778
ref
3269
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
88
ref
3251
remove
cons
90
ref
3240
remove
cons
nil
cons
3614
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3246
remove
cons
3614
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
3237
ref
1154
ref
appTerm
appTerm
3239
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
3238
remove
appTerm
3239
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3237
remove
nil
cons
cons
3614
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
proveHyp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
3212
remove
cons
90
ref
3213
ref
cons
nil
cons
3615
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3189
ref
cons
90
ref
3198
ref
cons
nil
cons
3616
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
3202
ref
cons
3199
remove
cons
nil
cons
cons
3617
def
62
ref
subst
3617
remove
126
ref
subst
454
ref
3201
remove
509
remove
291
ref
810
ref
291
ref
810
ref
nil
75
ref
3202
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
3184
ref
assume
eqMp
3618
def
appThm
820
ref
trans
appThm
3183
remove
appThm
3206
remove
826
ref
subst
trans
appThm
811
ref
trans
appThm
3207
remove
appThm
nil
75
ref
3220
remove
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
appThm
appThm
appThm
3208
remove
appThm
sym
nil
43
ref
3192
ref
462
ref
3187
remove
appTerm
3619
def
appTerm
nil
cons
3620
def
cons
3214
ref
cons
nil
cons
cons
3621
def
62
ref
subst
3621
remove
126
ref
subst
nil
3216
remove
90
ref
3619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
nil
3217
remove
3221
remove
cons
nil
cons
cons
104
ref
subst
3331
remove
nil
3337
remove
3214
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
192
ref
51
ref
460
ref
195
ref
appTerm
appTerm
3622
def
570
ref
265
ref
appTerm
appTerm
absTerm
3623
def
253
ref
appTerm
betaConv
sym
291
ref
3618
ref
appThm
3624
def
467
ref
265
ref
appTerm
3625
def
refl
appThm
nil
75
ref
3625
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
208
ref
208
ref
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
255
remove
appTerm
3626
def
appTerm
appTerm
appTerm
appTerm
3627
def
appTerm
appTerm
appTerm
appTerm
3628
def
nil
cons
cons
192
ref
2783
remove
cons
3629
def
957
ref
2292
remove
cons
nil
cons
3630
def
cons
cons
nil
cons
cons
2147
ref
subst
nil
581
ref
3627
remove
nil
cons
cons
192
ref
2787
remove
cons
3631
def
957
ref
2301
remove
cons
nil
cons
3632
def
cons
cons
nil
cons
cons
3528
remove
subst
nil
581
ref
3626
remove
nil
cons
cons
192
ref
2794
remove
cons
3633
def
3358
ref
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
192
ref
207
ref
207
ref
1000
ref
appTerm
3634
def
appTerm
nil
cons
cons
3635
def
2113
remove
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
192
ref
3634
remove
nil
cons
cons
3636
def
2116
remove
cons
nil
cons
cons
2124
ref
subst
2099
ref
2038
ref
2124
ref
subst
2099
ref
2311
ref
appThm
3637
def
trans
appThm
trans
appThm
trans
appThm
208
ref
208
ref
208
ref
1717
remove
appTerm
3638
def
appTerm
3639
def
appTerm
refl
3640
def
appThm
nil
192
ref
3639
remove
nil
cons
cons
581
ref
208
ref
208
ref
1692
remove
appTerm
3641
def
appTerm
nil
cons
3642
def
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
192
ref
3638
remove
nil
cons
cons
581
ref
3641
remove
nil
cons
3643
def
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
2535
remove
2139
ref
subst
2537
remove
trans
trans
trans
3644
def
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
3538
remove
1008
ref
nil
2803
ref
1196
ref
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
3539
remove
1707
ref
subst
1708
ref
3540
remove
appThm
trans
appThm
3027
remove
trans
appThm
trans
appThm
2545
remove
2329
ref
subst
trans
subst
eqMp
eqMp
eqMp
3645
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
3628
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2748
ref
2231
ref
nil
cons
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
3645
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
3623
ref
nil
cons
cons
304
ref
2747
remove
cons
nil
cons
3646
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3623
remove
appTerm
nil
cons
cons
44
ref
3375
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2231
remove
960
ref
cons
nil
cons
cons
2724
ref
subst
eqMp
nil
3376
remove
44
ref
3377
remove
3197
ref
appTerm
3647
def
nil
cons
cons
nil
cons
3648
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
273
ref
176
ref
3381
remove
3197
ref
appTerm
3649
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2730
remove
subst
176
remove
nil
75
ref
3649
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
3384
remove
3214
ref
cons
nil
cons
cons
3650
def
62
ref
subst
3650
remove
126
ref
subst
3386
remove
nil
3388
remove
3214
remove
cons
nil
cons
cons
3651
def
113
ref
subst
proveHyp
3651
ref
62
ref
subst
3651
remove
126
ref
subst
3196
ref
178
remove
appTerm
betaConv
sym
185
ref
2735
ref
397
ref
2736
ref
2737
ref
2255
ref
2737
remove
3391
remove
3618
remove
trans
appThm
3390
remove
appThm
3392
remove
appThm
3425
remove
3575
ref
subst
trans
3652
def
appThm
2742
remove
appThm
appThm
3652
ref
appThm
397
ref
3652
remove
appThm
2743
remove
appThm
appThm
3653
def
appThm
2102
ref
appThm
appThm
412
ref
2745
ref
3653
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
3195
ref
refl
3654
def
appThm
sym
192
ref
3622
ref
570
ref
244
ref
appTerm
appTerm
absTerm
3655
def
253
ref
appTerm
betaConv
sym
3624
remove
467
ref
244
ref
appTerm
3656
def
refl
3657
def
appThm
nil
75
ref
3656
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
3658
def
trans
sym
nil
581
ref
208
ref
207
ref
208
ref
208
ref
208
ref
207
ref
208
ref
212
ref
appTerm
3659
def
appTerm
appTerm
3660
def
appTerm
appTerm
3661
def
appTerm
appTerm
3662
def
nil
cons
cons
3629
ref
957
ref
2873
remove
cons
nil
cons
3663
def
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
3660
remove
nil
cons
cons
3631
ref
3405
remove
cons
cons
nil
cons
cons
3664
def
3407
ref
subst
nil
1736
ref
3633
ref
2815
ref
cons
cons
nil
cons
cons
3665
def
1189
ref
306
ref
nil
3635
ref
581
ref
207
ref
2163
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
3636
ref
2167
ref
cons
nil
cons
cons
3666
def
1707
ref
subst
1708
ref
2019
ref
2124
ref
subst
2883
remove
trans
3667
def
appThm
trans
appThm
trans
appThm
2331
ref
appThm
2333
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
nil
2803
remove
2562
ref
cons
nil
cons
cons
2098
ref
subst
2099
ref
nil
2440
remove
1083
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
1754
remove
1213
ref
subst
appThm
trans
appThm
trans
3668
def
eqMp
3669
def
eqMp
eqMp
3670
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
3662
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2748
ref
957
ref
2852
ref
cons
3671
def
nil
cons
3672
def
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
3670
remove
eqMp
sym
81
ref
eqMp
3673
def
eqMp
eqMp
302
ref
303
ref
3655
ref
nil
cons
cons
3646
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3655
remove
appTerm
nil
cons
cons
44
ref
3186
ref
nil
cons
3674
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
3671
ref
960
ref
cons
nil
cons
cons
2724
ref
subst
eqMp
20
ref
"_32868"
16
ref
var
3675
def
177
ref
194
ref
202
ref
218
ref
235
ref
3675
remove
varTerm
appTerm
203
ref
appTerm
204
remove
246
ref
appTerm
3676
def
appTerm
3677
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
ref
3677
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3195
ref
appTerm
absTerm
3678
def
3186
ref
appTerm
3679
def
appTerm
refl
3678
ref
67
ref
appTerm
betaConv
appThm
92
ref
3679
remove
betaConv
appThm
177
ref
194
ref
202
ref
218
remove
235
remove
67
ref
appTerm
203
ref
appTerm
3676
ref
appTerm
3680
def
appTerm
231
ref
appTerm
appTerm
205
ref
232
remove
3680
remove
appTerm
231
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3195
ref
appTerm
refl
appThm
trans
3678
remove
refl
nil
75
ref
3674
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
3186
remove
assume
eqMp
appThm
eqMp
sym
185
ref
2735
ref
397
ref
2736
remove
nil
2832
remove
3676
remove
nil
cons
cons
3424
remove
cons
nil
cons
cons
3575
remove
subst
3681
def
appThm
2102
ref
appThm
appThm
412
ref
2745
remove
3681
remove
appThm
2102
ref
appThm
appThm
425
ref
appThm
appThm
appThm
appThm
3654
ref
appThm
sym
3157
remove
nil
43
ref
45
ref
461
ref
appTerm
3682
def
3145
ref
appTerm
nil
cons
cons
44
ref
177
ref
194
ref
202
ref
2919
ref
appTerm
3683
def
205
ref
3023
ref
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3195
ref
appTerm
3684
def
nil
cons
3685
def
cons
nil
cons
3686
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
3147
remove
appThm
3684
remove
refl
appThm
sym
nil
43
ref
3146
ref
cons
3686
remove
cons
nil
cons
cons
3687
def
62
ref
subst
3687
remove
126
ref
subst
20
ref
"_32870"
186
ref
var
3688
def
177
ref
194
ref
3683
ref
205
ref
3688
remove
varTerm
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
3195
ref
appTerm
absTerm
3689
def
3023
remove
appTerm
3690
def
appTerm
refl
3689
ref
209
ref
appTerm
betaConv
appThm
92
ref
3690
remove
betaConv
appThm
177
ref
194
ref
3683
remove
3194
ref
appTerm
appTerm
appTerm
3195
ref
appTerm
3691
def
refl
3692
def
appThm
trans
3689
remove
refl
3145
remove
assume
appThm
eqMp
sym
2961
remove
nil
43
ref
3682
remove
2933
ref
appTerm
nil
cons
cons
44
ref
3691
remove
nil
cons
3693
def
cons
nil
cons
3694
def
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
2937
remove
appThm
3692
remove
appThm
sym
nil
43
ref
2934
ref
cons
3694
remove
cons
nil
cons
cons
3695
def
62
ref
subst
3695
remove
126
ref
subst
20
ref
"_32872"
186
ref
var
3696
def
177
ref
194
ref
202
ref
3696
remove
varTerm
appTerm
3194
remove
appTerm
appTerm
appTerm
3195
ref
appTerm
absTerm
3697
def
2919
remove
appTerm
3698
def
appTerm
refl
3697
ref
203
ref
appTerm
betaConv
appThm
92
ref
3698
remove
betaConv
appThm
177
ref
3195
ref
appTerm
3195
remove
appTerm
refl
appThm
trans
3697
remove
refl
2933
remove
assume
appThm
eqMp
sym
3654
remove
eqMp
eqMp
nil
88
ref
2934
remove
cons
90
ref
3693
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
3146
remove
cons
90
ref
3685
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
272
ref
273
remove
3196
remove
nil
cons
cons
274
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
nil
3484
remove
3615
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3486
remove
3615
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
270
remove
146
remove
3487
remove
3197
ref
appTerm
absTerm
appTerm
nil
cons
cons
3648
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
272
remove
3488
remove
3615
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
nil
43
ref
3489
remove
3647
remove
appTerm
nil
cons
cons
44
ref
3490
remove
3197
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
ref
3213
remove
cons
3491
remove
cons
nil
cons
cons
3167
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
88
ref
3620
remove
cons
3615
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3203
ref
3616
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
3184
remove
appTerm
3699
def
betaConv
1622
ref
nil
1623
ref
44
ref
3699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
3202
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
3203
remove
90
ref
3189
remove
cons
778
ref
3198
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
512
ref
3169
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
463
remove
appTerm
3700
def
betaConv
1622
ref
nil
1623
ref
44
ref
3700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
511
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
512
ref
90
ref
505
remove
cons
3701
def
778
ref
503
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
500
remove
appTerm
nil
cons
cons
44
ref
501
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
502
remove
304
ref
414
ref
nil
cons
cons
nil
cons
3702
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
492
ref
appTerm
nil
cons
cons
44
ref
493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
492
remove
nil
cons
cons
304
ref
399
ref
nil
cons
3703
def
cons
nil
cons
3704
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
88
ref
385
remove
cons
90
ref
378
remove
cons
nil
cons
3705
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
383
remove
cons
3705
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
287
remove
1154
ref
appTerm
appTerm
377
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
373
ref
appTerm
377
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
343
remove
3705
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
3706
def
eqMp
eqMp
nil
21
remove
0
ref
4
remove
17
ref
cons
opType
constTerm
5
remove
appTerm
thm
"Set.finite"
const
3707
def
0
ref
"Set.set"
typeOp
3708
def
3
remove
opType
3709
def
17
ref
cons
opType
3710
def
constTerm
3711
def
refl
nil
"t"
3709
ref
var
"Set.universe"
const
3712
def
3709
ref
constTerm
3713
def
nil
cons
cons
"s"
3709
ref
var
"Set.image"
const
3714
def
0
ref
193
ref
0
ref
3708
ref
198
ref
opType
3715
def
3709
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
194
ref
appTerm
"Set.fromPredicate"
const
3716
def
0
ref
236
remove
3715
ref
nil
cons
3717
def
cons
opType
constTerm
3718
def
"v"
186
ref
var
3719
def
372
ref
192
ref
51
ref
295
ref
3719
ref
varTerm
appTerm
3720
def
195
ref
appTerm
appTerm
3721
def
282
ref
appTerm
absTerm
appTerm
absTerm
appTerm
3722
def
appTerm
3723
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
151
ref
"t"
3708
ref
167
ref
opType
3724
def
var
3725
def
20
ref
15
ref
0
ref
3724
ref
0
ref
3724
ref
17
ref
cons
opType
3726
def
nil
cons
3727
def
cons
opType
3728
def
constTerm
3729
def
"s"
3724
ref
var
3730
def
varTerm
3731
def
appTerm
3725
ref
varTerm
3732
def
appTerm
3733
def
appTerm
118
ref
33
ref
20
ref
"Set.member"
const
3734
def
0
ref
9
ref
3727
remove
cons
opType
constTerm
3735
def
36
ref
appTerm
3736
def
3731
ref
appTerm
3737
def
appTerm
3736
ref
3732
ref
appTerm
3738
def
appTerm
absTerm
appTerm
3739
def
appTerm
absTerm
3740
def
3732
ref
appTerm
3741
def
betaConv
3730
ref
24
ref
0
ref
3726
ref
17
ref
cons
opType
3742
def
constTerm
3743
def
3740
ref
appTerm
3744
def
absTerm
3745
def
3731
ref
appTerm
3746
def
betaConv
3743
ref
refl
3747
def
3730
ref
3747
remove
3725
ref
nil
"y"
16
ref
var
3748
def
3739
ref
nil
cons
cons
338
ref
3733
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
356
ref
173
remove
subst
3749
def
subst
absThm
appThm
absThm
appThm
sym
nil
3743
ref
3730
ref
3743
ref
3725
ref
20
ref
3739
remove
appTerm
3733
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
3743
ref
3745
ref
appTerm
nil
cons
cons
44
ref
3746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
3724
ref
nil
cons
3750
def
cons
nil
cons
3751
def
"P"
3726
ref
var
3752
def
3745
remove
nil
cons
cons
"x"
3724
ref
var
3753
def
3731
ref
nil
cons
cons
nil
cons
3754
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3744
remove
nil
cons
cons
44
ref
3741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
3740
remove
nil
cons
cons
3753
ref
3732
ref
nil
cons
cons
nil
cons
3755
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3756
def
subst
subst
sym
nil
174
ref
175
ref
20
ref
3734
ref
0
ref
2
ref
3710
remove
nil
cons
3757
def
cons
opType
constTerm
180
ref
appTerm
3758
def
3723
ref
appTerm
appTerm
3758
remove
3713
ref
appTerm
appTerm
3759
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
175
ref
nil
75
ref
3759
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
92
ref
nil
"s"
3715
ref
var
3760
def
3722
ref
nil
cons
3761
def
cons
3762
def
"f"
193
remove
var
194
ref
nil
cons
cons
3763
def
141
remove
309
remove
cons
nil
cons
cons
cons
nil
cons
cons
301
ref
7
remove
cons
8
ref
cons
3764
def
14
ref
20
ref
3734
ref
0
ref
10
ref
0
ref
3708
ref
11
ref
opType
3765
def
17
ref
cons
opType
3766
def
nil
cons
cons
opType
constTerm
35
ref
appTerm
3767
def
3714
ref
0
ref
13
ref
0
ref
3724
ref
3765
ref
nil
cons
3768
def
cons
opType
nil
cons
cons
opType
constTerm
23
ref
appTerm
3731
ref
appTerm
3769
def
appTerm
appTerm
32
ref
33
ref
51
ref
38
remove
appTerm
3737
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3770
def
23
ref
appTerm
3771
def
betaConv
3730
ref
41
ref
3770
ref
appTerm
3772
def
absTerm
3773
def
3731
ref
appTerm
3774
def
betaConv
28
ref
3743
ref
3773
ref
appTerm
3775
def
absTerm
3776
def
35
ref
appTerm
3777
def
betaConv
nil
27
ref
3776
ref
appTerm
3778
def
axiom
nil
43
ref
3778
remove
nil
cons
cons
44
ref
3777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
11
ref
cons
nil
cons
3779
def
"P"
25
remove
var
3780
def
3776
remove
nil
cons
cons
"x"
10
ref
var
3781
def
35
ref
nil
cons
cons
nil
cons
3782
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3775
remove
nil
cons
cons
44
ref
3774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
3773
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3772
remove
nil
cons
cons
44
ref
3771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
3770
remove
nil
cons
cons
117
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3783
def
subst
subst
1430
ref
304
ref
51
ref
284
remove
194
ref
1154
ref
appTerm
3784
def
appTerm
appTerm
3785
def
refl
nil
1068
ref
281
ref
nil
cons
cons
3786
def
nil
cons
nil
cons
cons
320
ref
33
ref
20
ref
3736
ref
3716
remove
0
ref
30
ref
3750
ref
cons
opType
constTerm
"v"
9
ref
var
3787
def
32
ref
152
ref
51
ref
154
ref
3787
remove
varTerm
appTerm
156
ref
appTerm
appTerm
129
ref
156
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
346
ref
appTerm
absTerm
3788
def
36
ref
appTerm
3789
def
betaConv
128
ref
118
ref
3788
ref
appTerm
3790
def
absTerm
3791
def
129
ref
appTerm
3792
def
betaConv
nil
1315
ref
3791
ref
appTerm
3793
def
axiom
nil
43
ref
3793
remove
nil
cons
cons
44
ref
3792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
ref
1321
ref
3791
remove
nil
cons
cons
1324
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3790
remove
nil
cons
cons
44
ref
3789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
3788
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
3794
def
subst
3795
def
appThm
absThm
appThm
trans
appThm
326
remove
151
ref
nil
75
ref
3736
ref
3712
remove
3724
ref
constTerm
appTerm
3796
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
33
ref
3796
remove
absTerm
3797
def
36
ref
appTerm
3798
def
betaConv
nil
118
ref
3797
ref
appTerm
3799
def
axiom
nil
43
ref
3799
remove
nil
cons
cons
44
ref
3798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
3797
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
subst
subst
appThm
nil
75
ref
372
ref
304
ref
3785
remove
281
ref
1154
ref
appTerm
3800
def
appTerm
absTerm
3801
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1766
ref
subst
trans
sym
3801
ref
290
ref
appTerm
betaConv
sym
291
ref
328
remove
appThm
324
remove
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
302
ref
303
ref
3801
remove
nil
cons
cons
319
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
3802
def
sym
3803
def
appThm
sym
"t"
3715
ref
var
3804
def
51
ref
3707
ref
0
ref
3715
ref
17
ref
cons
opType
3805
def
constTerm
3806
def
3804
ref
varTerm
3807
def
appTerm
appTerm
3808
def
"Set.subset"
const
3809
def
0
ref
3715
ref
3805
ref
nil
cons
3810
def
cons
opType
3811
def
constTerm
3812
def
3722
ref
appTerm
3807
ref
appTerm
appTerm
absTerm
3813
def
3718
ref
3719
ref
372
ref
192
ref
3721
ref
1861
ref
207
ref
208
ref
208
ref
208
ref
208
ref
208
ref
2297
remove
appTerm
appTerm
3814
def
appTerm
appTerm
appTerm
appTerm
3815
def
appTerm
3816
def
appTerm
absTerm
appTerm
absTerm
appTerm
3817
def
appTerm
betaConv
sym
291
ref
nil
192
ref
3815
ref
nil
cons
3818
def
cons
3819
def
nil
cons
nil
cons
cons
3820
def
nil
75
ref
3806
ref
3718
ref
3719
ref
372
ref
581
ref
51
ref
3720
ref
585
ref
appTerm
appTerm
1085
remove
appTerm
absTerm
appTerm
absTerm
appTerm
3821
def
appTerm
3822
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
192
ref
3822
remove
absTerm
3823
def
195
ref
appTerm
3824
def
betaConv
nil
299
ref
3823
ref
appTerm
3825
def
axiom
nil
43
ref
3825
remove
nil
cons
cons
44
ref
3824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3823
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
3826
def
subst
appThm
nil
3804
ref
3817
remove
nil
cons
3827
def
cons
3762
ref
nil
cons
3828
def
cons
nil
cons
cons
320
ref
3725
ref
20
ref
3809
remove
3728
ref
constTerm
3829
def
3731
ref
appTerm
3732
ref
appTerm
3830
def
appTerm
118
ref
33
ref
45
ref
3737
ref
appTerm
3738
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3831
def
3732
ref
appTerm
3832
def
betaConv
3730
ref
3743
ref
3831
ref
appTerm
3833
def
absTerm
3834
def
3731
ref
appTerm
3835
def
betaConv
nil
3743
ref
3834
ref
appTerm
3836
def
axiom
nil
43
ref
3836
remove
nil
cons
cons
44
ref
3835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
3834
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3833
remove
nil
cons
cons
44
ref
3832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
3831
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
3837
def
subst
649
ref
304
ref
454
ref
3795
ref
appThm
92
ref
3734
ref
0
ref
186
ref
3810
remove
cons
opType
constTerm
3838
def
1154
ref
appTerm
3839
def
refl
3840
def
3718
ref
refl
3841
def
3719
ref
1430
ref
192
ref
3721
ref
refl
3842
def
192
ref
3816
ref
absTerm
3843
def
195
ref
appTerm
betaConv
3844
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3843
ref
1154
ref
appTerm
betaConv
appThm
nil
1068
ref
3843
remove
nil
cons
cons
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
nil
192
ref
1154
ref
nil
cons
3845
def
cons
nil
cons
nil
cons
cons
nil
75
ref
45
ref
282
ref
appTerm
3846
def
3816
ref
appTerm
3847
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
453
ref
44
ref
3816
ref
nil
cons
3848
def
cons
nil
cons
3849
def
cons
nil
cons
cons
3850
def
62
ref
subst
3850
remove
126
ref
subst
nil
292
ref
409
remove
cons
nil
cons
nil
cons
cons
305
ref
subst
3851
def
nil
43
ref
455
ref
295
ref
289
ref
196
ref
appTerm
3852
def
appTerm
195
ref
appTerm
3853
def
appTerm
nil
cons
cons
3849
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
92
ref
nil
75
ref
387
ref
cons
nil
cons
nil
cons
cons
3854
def
82
ref
subst
282
ref
assume
eqMp
appThm
3853
ref
refl
appThm
nil
75
ref
3853
ref
nil
cons
3855
def
cons
nil
cons
nil
cons
cons
765
ref
subst
trans
appThm
3816
remove
refl
appThm
sym
nil
43
ref
3855
ref
cons
3849
remove
cons
nil
cons
cons
3856
def
62
ref
subst
3856
remove
126
ref
subst
20
ref
"_32750"
186
ref
var
3857
def
239
ref
3857
remove
varTerm
appTerm
3815
ref
appTerm
absTerm
3858
def
195
ref
appTerm
appTerm
refl
3858
ref
3852
ref
appTerm
betaConv
appThm
92
ref
3844
remove
appThm
239
ref
3852
remove
appTerm
3815
ref
appTerm
refl
appThm
trans
3858
remove
refl
3853
ref
assume
3859
def
sym
appThm
eqMp
sym
nil
175
ref
196
ref
nil
cons
3860
def
cons
nil
cons
nil
cons
cons
nil
75
ref
239
ref
290
ref
appTerm
3815
ref
appTerm
3861
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
2255
ref
175
ref
295
ref
290
ref
appTerm
3862
def
202
ref
"Data.Char.position"
const
288
ref
constTerm
3863
def
180
ref
appTerm
3864
def
appTerm
205
ref
"Data.Char.plane"
const
288
ref
constTerm
3865
def
180
ref
appTerm
3866
def
appTerm
214
ref
appTerm
3867
def
appTerm
3868
def
appTerm
absTerm
3869
def
180
ref
appTerm
3870
def
betaConv
140
ref
175
ref
3862
ref
refl
397
ref
175
ref
295
ref
3864
ref
appTerm
398
ref
290
ref
appTerm
appTerm
absTerm
3871
def
180
ref
appTerm
3872
def
betaConv
nil
139
ref
3871
ref
appTerm
3873
def
axiom
nil
43
ref
3873
remove
nil
cons
cons
44
ref
3872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
150
ref
174
ref
3871
remove
nil
cons
cons
325
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3874
def
nil
192
ref
293
remove
cons
nil
cons
3875
def
nil
cons
cons
3876
def
411
ref
subst
trans
appThm
412
ref
175
ref
295
ref
3866
ref
appTerm
413
ref
290
remove
appTerm
appTerm
absTerm
3877
def
180
remove
appTerm
3878
def
betaConv
nil
139
ref
3877
ref
appTerm
3879
def
axiom
nil
43
ref
3879
remove
nil
cons
cons
44
ref
3878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
150
ref
174
ref
3877
remove
nil
cons
cons
325
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
3880
def
3876
remove
424
ref
subst
trans
appThm
425
ref
appThm
appThm
nil
426
ref
442
ref
cons
3881
def
3875
remove
cons
nil
cons
cons
430
remove
427
ref
appTerm
3882
def
betaConv
439
remove
nil
440
remove
44
ref
3882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
441
remove
304
ref
427
ref
nil
cons
cons
nil
cons
3883
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
trans
appThm
323
remove
trans
absThm
appThm
330
remove
151
remove
1267
remove
subst
subst
3884
def
trans
sym
81
ref
eqMp
3885
def
nil
43
ref
139
ref
3869
ref
appTerm
3886
def
nil
cons
cons
44
ref
3870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
150
ref
174
ref
3869
remove
nil
cons
cons
325
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
appThm
3815
ref
refl
3887
def
appThm
sym
192
ref
51
ref
239
ref
3868
ref
appTerm
3888
def
195
ref
appTerm
appTerm
570
ref
3815
ref
appTerm
3889
def
appTerm
absTerm
3890
def
202
ref
231
ref
appTerm
3891
def
3867
ref
appTerm
3892
def
appTerm
betaConv
sym
291
ref
nil
2174
ref
581
ref
3867
remove
nil
cons
3893
def
cons
192
ref
3864
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2268
remove
subst
nil
75
ref
239
ref
3864
remove
appTerm
231
ref
appTerm
3894
def
nil
cons
3895
def
cons
nil
cons
nil
cons
cons
82
ref
subst
371
ref
nil
375
remove
44
ref
372
ref
192
ref
283
ref
51
ref
285
ref
appTerm
3862
remove
195
ref
appTerm
3896
def
appTerm
3897
def
appTerm
3898
def
absTerm
3899
def
appTerm
3900
def
nil
cons
3901
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
1430
ref
192
ref
291
ref
3851
remove
appThm
3902
def
285
ref
refl
appThm
absThm
appThm
appThm
1430
ref
192
ref
3902
remove
3897
ref
refl
appThm
absThm
appThm
appThm
sym
nil
303
ref
192
ref
45
ref
192
ref
51
ref
3853
remove
appTerm
3903
def
285
remove
appTerm
3904
def
absTerm
3905
def
195
ref
appTerm
3906
def
appTerm
372
ref
192
ref
3903
remove
3897
ref
appTerm
absTerm
3907
def
appTerm
3908
def
appTerm
3909
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
3909
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3906
ref
nil
cons
3910
def
cons
44
ref
3908
ref
nil
cons
3911
def
cons
nil
cons
3912
def
cons
nil
cons
cons
3913
def
62
ref
subst
3913
remove
126
ref
subst
3906
ref
betaConv
3906
remove
assume
eqMp
nil
43
ref
3904
remove
nil
cons
3914
def
cons
3912
remove
cons
nil
cons
cons
3915
def
113
ref
subst
proveHyp
3915
ref
62
ref
subst
3915
remove
126
ref
subst
nil
88
ref
3855
remove
cons
3916
def
390
remove
cons
nil
cons
cons
3917
def
104
ref
subst
3917
remove
392
ref
subst
3907
ref
195
ref
appTerm
betaConv
sym
291
ref
306
ref
3859
ref
appThm
661
ref
appThm
2559
ref
trans
appThm
291
ref
185
ref
396
ref
appThm
196
remove
refl
appThm
nil
148
ref
3860
remove
cons
nil
cons
nil
cons
cons
327
remove
subst
trans
appThm
306
ref
307
ref
396
remove
appThm
3859
remove
trans
appThm
661
ref
appThm
2559
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
302
ref
303
ref
3907
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
3914
remove
cons
90
ref
3911
remove
cons
nil
cons
3918
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3910
remove
cons
3918
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
3905
ref
1154
ref
appTerm
appTerm
3908
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
372
ref
3905
ref
appTerm
appTerm
3908
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3905
remove
nil
cons
cons
3918
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
3919
def
nil
43
ref
3901
ref
cons
3920
def
44
ref
3895
ref
cons
nil
cons
3921
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
192
ref
45
ref
3899
ref
195
ref
appTerm
3922
def
appTerm
3923
def
3894
ref
appTerm
3924
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
3924
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
3922
ref
nil
cons
3925
def
cons
3926
def
3921
ref
cons
nil
cons
cons
3927
def
62
ref
subst
3927
remove
126
ref
subst
3922
ref
betaConv
3922
remove
assume
eqMp
3928
def
nil
43
ref
3898
remove
nil
cons
3929
def
cons
3930
def
3921
remove
cons
nil
cons
cons
3931
def
113
ref
subst
proveHyp
3931
ref
62
ref
subst
3931
remove
126
ref
subst
nil
388
ref
90
ref
3897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3932
def
104
ref
subst
3933
def
3932
remove
392
ref
subst
3934
def
nil
88
ref
389
remove
cons
90
ref
3896
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
3935
def
2255
ref
3874
ref
398
ref
refl
3896
remove
assume
3936
def
appThm
trans
appThm
2102
ref
appThm
sym
nil
453
ref
44
ref
239
ref
399
ref
appTerm
3937
def
231
ref
appTerm
3938
def
nil
cons
3939
def
cons
nil
cons
3940
def
cons
nil
cons
cons
113
ref
subst
491
ref
3938
ref
refl
appThm
sym
nil
43
ref
486
ref
51
ref
3938
ref
appTerm
3941
def
488
remove
51
ref
465
ref
51
ref
467
ref
399
ref
appTerm
appTerm
3937
ref
472
ref
appTerm
appTerm
appTerm
appTerm
465
ref
51
ref
474
ref
399
ref
appTerm
appTerm
3937
remove
476
ref
appTerm
appTerm
appTerm
appTerm
3942
def
appTerm
3943
def
appTerm
3944
def
appTerm
3945
def
nil
cons
3946
def
cons
3947
def
3940
remove
cons
nil
cons
cons
3948
def
62
ref
subst
3948
remove
126
ref
subst
nil
88
ref
485
ref
nil
cons
3949
def
cons
3950
def
90
ref
3944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3951
def
392
ref
subst
nil
88
ref
3939
ref
cons
3952
def
90
ref
3943
ref
nil
cons
3953
def
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
proveHyp
eqMp
nil
88
ref
3946
remove
cons
3954
def
90
ref
3939
ref
cons
nil
cons
3955
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
3929
remove
cons
3956
def
90
ref
3895
remove
cons
nil
cons
3957
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
3925
remove
cons
3958
def
3957
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
3899
ref
1154
ref
appTerm
appTerm
3959
def
3894
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
3900
ref
appTerm
3960
def
3894
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3899
remove
nil
cons
cons
3961
def
3957
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
3962
def
trans
appThm
466
ref
3892
ref
appTerm
3963
def
3815
ref
appTerm
3964
def
refl
appThm
nil
75
ref
3964
remove
nil
cons
3965
def
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
192
ref
51
ref
3963
remove
195
ref
appTerm
appTerm
3889
remove
appTerm
absTerm
3966
def
3891
ref
205
ref
214
ref
appTerm
214
ref
appTerm
3967
def
appTerm
3968
def
appTerm
betaConv
sym
291
ref
nil
957
ref
3967
remove
nil
cons
cons
192
ref
3893
remove
cons
584
remove
cons
cons
nil
cons
cons
975
remove
subst
nil
189
ref
442
ref
cons
3881
ref
188
ref
3866
ref
nil
cons
3969
def
cons
nil
cons
cons
cons
nil
cons
cons
189
ref
20
ref
466
ref
205
ref
240
ref
appTerm
427
ref
appTerm
appTerm
205
ref
219
ref
appTerm
427
ref
appTerm
3970
def
appTerm
appTerm
466
ref
240
ref
appTerm
219
ref
appTerm
3971
def
appTerm
absTerm
3972
def
219
ref
appTerm
3973
def
betaConv
188
ref
299
ref
3972
ref
appTerm
3974
def
absTerm
3975
def
240
ref
appTerm
3976
def
betaConv
426
ref
299
ref
3975
ref
appTerm
3977
def
absTerm
3978
def
427
ref
appTerm
3979
def
betaConv
nil
299
ref
3978
ref
appTerm
3980
def
axiom
nil
43
ref
3980
remove
nil
cons
cons
44
ref
3979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3978
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3977
remove
nil
cons
cons
44
ref
3976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3975
remove
nil
cons
cons
304
ref
240
ref
nil
cons
3981
def
cons
nil
cons
3982
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
3974
remove
nil
cons
cons
44
ref
3973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
3972
remove
nil
cons
cons
304
ref
219
ref
nil
cons
3983
def
cons
nil
cons
3984
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
trans
appThm
466
ref
3968
ref
appTerm
3815
ref
appTerm
3985
def
refl
appThm
sym
nil
2563
ref
581
ref
3969
remove
cons
nil
cons
cons
nil
cons
cons
2573
remove
subst
239
ref
3866
ref
appTerm
3986
def
refl
2656
ref
appThm
nil
75
ref
3986
remove
457
ref
appTerm
3987
def
nil
cons
3988
def
cons
nil
cons
nil
cons
cons
82
ref
subst
3919
ref
nil
3920
remove
44
ref
3988
ref
cons
nil
cons
3989
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
192
ref
3923
remove
3987
ref
appTerm
3990
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
3990
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
3926
remove
3989
ref
cons
nil
cons
cons
3991
def
62
ref
subst
3991
remove
126
ref
subst
3928
remove
nil
3930
remove
3989
remove
cons
nil
cons
cons
3992
def
113
ref
subst
proveHyp
3992
ref
62
ref
subst
3992
remove
126
ref
subst
3933
remove
3934
remove
3935
remove
2255
ref
3880
ref
413
ref
refl
3936
remove
appThm
trans
appThm
3173
ref
appThm
sym
nil
453
ref
44
ref
3949
ref
cons
nil
cons
3993
def
cons
nil
cons
cons
113
ref
subst
491
remove
485
ref
refl
appThm
sym
nil
3947
remove
3993
remove
cons
nil
cons
cons
3994
def
62
ref
subst
3994
remove
126
ref
subst
3951
remove
104
ref
subst
eqMp
nil
3954
remove
90
ref
3949
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
3956
remove
90
ref
3988
remove
cons
nil
cons
3995
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3958
remove
3995
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
3959
remove
3987
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
3960
remove
3987
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
3961
remove
3995
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
3996
def
trans
trans
sym
81
ref
eqMp
nil
43
ref
466
ref
3866
remove
appTerm
214
ref
appTerm
nil
cons
cons
44
ref
3985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
921
ref
3891
remove
refl
3997
def
nil
3881
ref
2563
ref
nil
cons
3998
def
cons
nil
cons
cons
426
ref
295
ref
205
ref
195
ref
appTerm
427
ref
appTerm
appTerm
3999
def
571
ref
"Number.Natural.^"
const
201
ref
constTerm
4000
def
211
ref
appTerm
4001
def
427
ref
appTerm
4002
def
appTerm
195
ref
appTerm
appTerm
absTerm
4003
def
427
ref
appTerm
4004
def
betaConv
192
ref
299
ref
4003
ref
appTerm
4005
def
absTerm
4006
def
195
ref
appTerm
4007
def
betaConv
nil
299
ref
4006
ref
appTerm
4008
def
axiom
nil
43
ref
4008
remove
nil
cons
cons
44
ref
4007
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4006
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4005
remove
nil
cons
cons
44
ref
4004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4003
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
appThm
appThm
3887
ref
appThm
sym
921
remove
3997
remove
1881
ref
nil
2509
ref
957
ref
207
ref
2448
remove
appTerm
4009
def
nil
cons
4010
def
cons
4011
def
nil
cons
4012
def
cons
nil
cons
cons
nil
43
ref
20
ref
295
ref
4000
ref
585
ref
appTerm
4013
def
211
ref
appTerm
4014
def
appTerm
4015
def
961
ref
appTerm
4016
def
appTerm
295
ref
586
ref
585
ref
appTerm
4017
def
appTerm
4018
def
961
ref
appTerm
4019
def
appTerm
4020
def
nil
cons
cons
nil
cons
nil
cons
cons
618
remove
subst
sym
nil
43
ref
465
ref
4020
remove
appTerm
4021
def
nil
cons
4022
def
cons
520
ref
cons
nil
cons
cons
4023
def
62
ref
subst
4023
remove
126
ref
subst
nil
299
ref
192
ref
295
ref
4000
ref
195
ref
appTerm
211
ref
appTerm
appTerm
2352
ref
195
ref
appTerm
appTerm
absTerm
4024
def
appTerm
4025
def
axiom
4026
def
nil
43
ref
4025
remove
nil
cons
4027
def
cons
4028
def
520
ref
cons
nil
cons
cons
4029
def
113
ref
subst
proveHyp
4029
ref
62
ref
subst
4029
remove
126
ref
subst
nil
43
ref
51
ref
465
ref
4016
ref
appTerm
4030
def
appTerm
4019
ref
appTerm
nil
cons
4031
def
cons
520
ref
cons
nil
cons
cons
4032
def
62
ref
subst
4032
remove
126
ref
subst
nil
"_9078"
186
ref
var
4033
def
590
ref
cons
nil
cons
nil
cons
cons
4024
ref
4033
remove
varTerm
4034
def
appTerm
4035
def
betaConv
nil
4028
ref
44
ref
4035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
302
ref
303
ref
4024
ref
nil
cons
cons
4036
def
304
ref
4034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4037
def
nil
43
ref
4015
ref
4017
ref
appTerm
4038
def
nil
cons
cons
4039
def
520
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4039
ref
nil
cons
nil
cons
cons
952
ref
subst
20
ref
"_9089"
186
ref
var
4040
def
465
ref
4015
ref
4040
remove
varTerm
appTerm
appTerm
absTerm
4041
def
961
ref
appTerm
4042
def
appTerm
refl
4041
ref
4017
ref
appTerm
betaConv
appThm
92
ref
4042
remove
betaConv
appThm
465
ref
4038
ref
appTerm
refl
appThm
trans
4041
remove
refl
nil
88
ref
4030
remove
nil
cons
cons
90
ref
4019
ref
nil
cons
4043
def
cons
nil
cons
cons
nil
cons
cons
4044
def
392
ref
subst
sym
appThm
eqMp
4044
remove
104
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4031
ref
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
51
ref
4016
ref
appTerm
465
ref
4019
remove
appTerm
4045
def
appTerm
nil
cons
4046
def
cons
520
ref
cons
nil
cons
cons
4047
def
62
ref
subst
4047
remove
126
ref
subst
4037
remove
nil
4039
remove
44
ref
4015
ref
4014
ref
appTerm
4048
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
304
ref
4014
ref
nil
cons
4049
def
cons
nil
cons
4050
def
nil
cons
cons
1645
remove
subst
eqMp
nil
43
ref
51
ref
4038
remove
appTerm
4048
remove
appTerm
nil
cons
cons
44
ref
4018
ref
4014
ref
appTerm
4051
def
nil
cons
4052
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
4049
remove
cons
1566
ref
4017
ref
nil
cons
4053
def
cons
4050
remove
cons
cons
nil
cons
cons
1625
remove
subst
eqMp
nil
43
ref
4052
remove
cons
4054
def
520
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4054
remove
nil
cons
nil
cons
cons
952
remove
subst
20
ref
"_9083"
186
ref
var
4055
def
465
ref
4018
ref
4055
remove
varTerm
appTerm
appTerm
absTerm
4056
def
961
ref
appTerm
4057
def
appTerm
refl
4056
ref
4014
remove
appTerm
betaConv
appThm
92
ref
4057
remove
betaConv
appThm
465
ref
4051
remove
appTerm
refl
appThm
trans
4056
remove
refl
nil
88
ref
4016
remove
nil
cons
4058
def
cons
90
ref
4045
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4059
def
104
ref
subst
sym
appThm
eqMp
4059
remove
392
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4046
remove
cons
4060
def
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4058
remove
cons
44
ref
4043
remove
cons
nil
cons
cons
nil
cons
cons
nil
1371
remove
44
ref
20
ref
465
ref
522
remove
appTerm
appTerm
691
ref
52
remove
1372
ref
appTerm
appTerm
3096
remove
48
ref
appTerm
appTerm
appTerm
nil
cons
4061
def
cons
nil
cons
4062
def
cons
nil
cons
cons
4063
def
62
ref
subst
4063
remove
126
ref
subst
20
ref
"_550"
16
ref
var
4064
def
20
ref
465
ref
20
ref
4064
remove
varTerm
4065
def
appTerm
48
ref
appTerm
appTerm
appTerm
691
ref
51
ref
4065
ref
appTerm
1372
ref
appTerm
appTerm
51
ref
465
ref
4065
remove
appTerm
appTerm
48
ref
appTerm
appTerm
appTerm
absTerm
4066
def
46
ref
appTerm
4067
def
appTerm
refl
4068
def
4066
ref
510
ref
appTerm
betaConv
appThm
92
ref
4067
remove
betaConv
appThm
4069
def
20
ref
465
ref
546
remove
48
ref
appTerm
appTerm
appTerm
691
ref
822
remove
1372
ref
appTerm
appTerm
808
remove
48
ref
appTerm
appTerm
appTerm
refl
appThm
trans
4066
remove
refl
4070
def
1383
remove
appThm
eqMp
sym
92
ref
810
ref
85
ref
831
ref
subst
appThm
85
ref
615
ref
subst
trans
appThm
873
ref
3113
remove
appThm
812
remove
57
ref
appThm
1397
remove
trans
appThm
3107
remove
trans
appThm
nil
338
ref
84
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
1388
remove
90
ref
4061
ref
cons
nil
cons
4071
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
1392
remove
4062
remove
cons
nil
cons
cons
4072
def
62
ref
subst
4072
remove
126
ref
subst
4068
remove
"_548"
16
ref
var
4073
def
20
ref
465
ref
20
ref
4073
remove
varTerm
4074
def
appTerm
48
ref
appTerm
appTerm
appTerm
691
ref
51
ref
4074
ref
appTerm
1372
ref
appTerm
appTerm
51
ref
465
ref
4074
remove
appTerm
appTerm
48
ref
appTerm
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
4069
remove
20
ref
465
ref
761
remove
48
ref
appTerm
appTerm
appTerm
691
ref
331
remove
1372
remove
appTerm
appTerm
819
remove
48
ref
appTerm
appTerm
appTerm
refl
appThm
trans
4070
remove
1396
remove
appThm
eqMp
sym
92
ref
810
ref
85
remove
765
remove
subst
appThm
appThm
873
ref
3108
remove
appThm
821
remove
57
remove
appThm
1384
remove
trans
appThm
1387
remove
946
ref
subst
trans
appThm
1398
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
1399
ref
4071
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1401
remove
nil
1399
remove
1402
remove
778
ref
4061
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
subst
4021
remove
assume
eqMp
nil
4060
remove
90
ref
4031
remove
cons
1649
remove
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
4027
remove
cons
953
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
4022
remove
cons
953
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
4075
def
subst
nil
2513
ref
192
ref
2504
ref
cons
nil
cons
cons
nil
cons
cons
"two"
186
ref
var
4076
def
1850
remove
4076
ref
varTerm
4077
def
appTerm
4078
def
absTerm
4079
def
211
ref
appTerm
betaConv
sym
nil
1184
ref
nil
cons
nil
cons
cons
661
ref
subst
4080
def
eqMp
302
ref
303
ref
4079
ref
nil
cons
cons
4081
def
304
ref
1183
ref
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
4082
def
nil
43
ref
372
ref
4079
ref
appTerm
4083
def
nil
cons
cons
4084
def
44
ref
20
ref
4015
remove
195
ref
appTerm
appTerm
4085
def
295
ref
4000
ref
1195
remove
appTerm
4086
def
211
ref
appTerm
appTerm
207
ref
207
ref
207
ref
1191
remove
appTerm
4087
def
appTerm
4088
def
appTerm
4089
def
appTerm
appTerm
4090
def
nil
cons
4091
def
cons
nil
cons
4092
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
4076
ref
45
ref
4079
ref
4077
ref
appTerm
4093
def
appTerm
4094
def
4090
ref
appTerm
4095
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
4076
ref
nil
75
ref
4095
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4093
ref
nil
cons
4096
def
cons
4097
def
4092
ref
cons
nil
cons
cons
4098
def
62
ref
subst
4098
remove
126
ref
subst
4093
ref
betaConv
4093
remove
assume
eqMp
4099
def
nil
43
ref
4078
ref
nil
cons
4100
def
cons
4101
def
4092
remove
cons
nil
cons
cons
4102
def
113
ref
subst
proveHyp
4102
ref
62
ref
subst
4102
remove
126
ref
subst
92
ref
306
ref
4013
ref
refl
4103
def
4078
remove
assume
4104
def
appThm
appThm
661
ref
appThm
appThm
4105
def
306
ref
4086
remove
refl
4104
ref
appThm
appThm
4089
remove
refl
appThm
appThm
sym
20
ref
295
ref
4013
ref
4077
ref
appTerm
appTerm
195
ref
appTerm
appTerm
refl
4106
def
306
ref
4000
ref
refl
4107
def
nil
192
ref
1710
remove
cons
nil
cons
nil
cons
cons
4108
def
1075
ref
subst
397
ref
2100
remove
1075
ref
subst
1241
ref
1240
ref
appThm
trans
4109
def
appThm
4109
remove
appThm
trans
appThm
4077
ref
refl
4110
def
appThm
appThm
nil
192
ref
4088
remove
nil
cons
cons
nil
cons
nil
cons
cons
1075
ref
subst
397
ref
nil
192
ref
4087
remove
nil
cons
cons
nil
cons
nil
cons
cons
1075
ref
subst
397
ref
2655
remove
1075
ref
subst
397
ref
2337
remove
1075
ref
subst
397
ref
1208
ref
1075
ref
subst
397
ref
1075
ref
appThm
4111
def
1075
ref
appThm
trans
4112
def
appThm
4112
ref
appThm
trans
4113
def
appThm
4113
remove
appThm
trans
4114
def
appThm
4114
remove
appThm
trans
4115
def
appThm
4115
remove
appThm
trans
appThm
appThm
sym
4106
ref
306
ref
4107
ref
nil
192
ref
1252
ref
1244
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
1724
ref
refl
4116
def
nil
192
ref
1245
remove
cons
nil
cons
nil
cons
cons
1730
ref
subst
4116
ref
1731
ref
appThm
trans
appThm
trans
appThm
4110
ref
appThm
appThm
nil
192
ref
202
ref
202
ref
202
ref
202
ref
1010
ref
appTerm
4117
def
1010
ref
appTerm
4118
def
appTerm
4118
ref
appTerm
4119
def
appTerm
4119
ref
appTerm
4120
def
appTerm
4120
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
4116
ref
nil
192
ref
4120
remove
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
4116
ref
nil
192
ref
4119
remove
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
4116
ref
nil
192
ref
4118
ref
nil
cons
cons
nil
cons
nil
cons
cons
1730
ref
subst
4116
ref
1809
ref
1730
ref
subst
4116
ref
1730
remove
appThm
trans
4121
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
appThm
sym
20
ref
"_8933"
186
ref
var
4122
def
20
ref
295
ref
4013
ref
4122
remove
varTerm
4123
def
appTerm
appTerm
195
ref
appTerm
appTerm
295
ref
4000
ref
1724
ref
1724
ref
1842
remove
appTerm
4124
def
appTerm
4125
def
appTerm
4126
def
4123
remove
appTerm
appTerm
1724
ref
1724
ref
1724
ref
1724
ref
1724
ref
1725
remove
appTerm
4127
def
appTerm
4128
def
appTerm
4129
def
appTerm
4130
def
appTerm
4131
def
appTerm
appTerm
absTerm
4132
def
4077
ref
appTerm
4133
def
appTerm
refl
4132
ref
211
ref
appTerm
betaConv
appThm
92
ref
4133
remove
betaConv
appThm
4085
ref
295
ref
4126
remove
211
ref
appTerm
appTerm
4131
ref
appTerm
appTerm
refl
appThm
trans
4132
remove
refl
4104
ref
sym
4134
def
appThm
eqMp
sym
92
ref
306
ref
1239
ref
4024
remove
195
ref
appTerm
4135
def
betaConv
4026
remove
nil
4028
remove
44
ref
4135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
4036
remove
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4136
def
subst
appThm
661
ref
appThm
appThm
4137
def
306
ref
nil
192
ref
4125
remove
nil
cons
4138
def
cons
nil
cons
nil
cons
cons
4136
ref
subst
appThm
4131
remove
refl
4139
def
appThm
appThm
sym
20
ref
4018
remove
195
ref
appTerm
4140
def
appTerm
refl
4141
def
306
ref
306
ref
nil
957
ref
4138
remove
cons
4142
def
192
ref
4124
remove
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
2409
ref
subst
4116
ref
nil
4142
ref
192
ref
1847
remove
cons
4143
def
1737
ref
cons
cons
nil
cons
cons
2409
ref
subst
4116
ref
nil
4142
remove
1738
ref
cons
nil
cons
cons
4144
def
2409
ref
subst
4144
remove
2374
ref
subst
trans
2349
ref
4116
ref
4116
ref
4116
ref
nil
1738
ref
nil
cons
cons
2359
remove
subst
4145
def
appThm
nil
957
ref
1183
remove
cons
4146
def
1738
ref
cons
nil
cons
cons
2374
ref
subst
4147
def
trans
appThm
nil
957
ref
1724
ref
211
ref
appTerm
4148
def
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
4149
def
trans
appThm
nil
957
ref
1724
ref
4148
ref
appTerm
4150
def
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
4151
def
trans
appThm
trans
appThm
nil
957
ref
586
ref
1724
ref
4150
ref
appTerm
4152
def
appTerm
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
nil
957
ref
4152
ref
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
appThm
trans
4153
def
trans
trans
appThm
nil
957
ref
586
ref
1724
ref
4152
remove
appTerm
4154
def
appTerm
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
nil
957
ref
4154
ref
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
appThm
trans
4155
def
trans
trans
appThm
4116
ref
4116
ref
4116
ref
4116
ref
4116
ref
nil
957
ref
590
remove
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
4145
remove
appThm
trans
appThm
nil
957
ref
586
ref
211
ref
appTerm
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
4147
remove
appThm
trans
trans
appThm
nil
957
ref
586
ref
4148
ref
appTerm
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
4149
remove
appThm
trans
trans
appThm
nil
957
ref
586
ref
4150
remove
appTerm
nil
cons
cons
1738
ref
cons
nil
cons
cons
2374
ref
subst
2349
ref
4151
remove
appThm
trans
trans
appThm
4153
remove
trans
appThm
4155
remove
trans
appThm
nil
304
ref
586
ref
586
ref
1724
ref
4154
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
sym
81
ref
eqMp
appThm
4139
remove
appThm
appThm
sym
4141
ref
nil
957
ref
4130
remove
nil
cons
cons
192
ref
1724
ref
1724
ref
1724
ref
1724
ref
1724
ref
4017
remove
appTerm
4156
def
appTerm
4157
def
appTerm
4158
def
appTerm
4159
def
appTerm
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
1751
ref
subst
2076
ref
nil
957
ref
4129
remove
nil
cons
cons
192
ref
4159
remove
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
1751
ref
subst
2076
ref
nil
957
ref
4128
remove
nil
cons
cons
192
ref
4158
remove
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
1751
ref
subst
2076
ref
nil
957
ref
4127
ref
nil
cons
cons
192
ref
4157
remove
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
1751
ref
subst
2076
ref
nil
957
ref
1832
remove
cons
4160
def
192
ref
4156
remove
nil
cons
cons
1737
ref
cons
cons
nil
cons
cons
1751
ref
subst
2076
ref
nil
1666
ref
192
ref
4053
remove
cons
1737
ref
cons
cons
nil
cons
cons
1751
remove
subst
2076
remove
4140
ref
refl
appThm
nil
75
ref
4140
remove
nil
cons
4161
def
cons
nil
cons
nil
cons
cons
735
ref
subst
4162
def
trans
trans
appThm
4162
ref
trans
trans
4163
def
appThm
4162
ref
trans
trans
appThm
4162
ref
trans
trans
appThm
4162
ref
trans
trans
appThm
4162
remove
trans
trans
appThm
nil
338
ref
4161
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
4164
def
trans
sym
81
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4100
remove
cons
4165
def
90
ref
4091
remove
cons
nil
cons
4166
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
4096
remove
cons
4167
def
4166
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
4079
remove
1154
ref
appTerm
appTerm
4168
def
4090
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
4083
remove
appTerm
4169
def
4090
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
4081
ref
4166
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
4170
def
subst
nil
2516
ref
3998
ref
cons
nil
cons
cons
4170
ref
subst
nil
1736
ref
2162
ref
nil
cons
cons
nil
cons
cons
4171
def
4082
remove
nil
4084
remove
44
ref
4085
ref
295
ref
4000
ref
1193
remove
appTerm
4172
def
211
ref
appTerm
appTerm
1190
ref
appTerm
appTerm
4173
def
nil
cons
4174
def
cons
nil
cons
4175
def
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
4076
ref
4094
remove
4173
ref
appTerm
4176
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
4076
remove
nil
75
ref
4176
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
4097
remove
4175
ref
cons
nil
cons
cons
4177
def
62
ref
subst
4177
remove
126
ref
subst
4099
remove
nil
4101
remove
4175
remove
cons
nil
cons
cons
4178
def
113
ref
subst
proveHyp
4178
ref
62
ref
subst
4178
remove
126
ref
subst
4105
remove
306
ref
4172
remove
refl
4104
remove
appThm
appThm
1190
remove
refl
appThm
appThm
sym
4106
remove
306
ref
4107
ref
1240
remove
appThm
4110
remove
appThm
appThm
4112
remove
appThm
appThm
sym
20
ref
"_8787"
186
ref
var
4179
def
20
ref
295
ref
4013
ref
4179
remove
varTerm
4180
def
appTerm
appTerm
195
ref
appTerm
appTerm
295
ref
4000
ref
1244
ref
appTerm
4181
def
4180
remove
appTerm
appTerm
4118
ref
appTerm
appTerm
absTerm
4182
def
4077
remove
appTerm
4183
def
appTerm
refl
4182
ref
211
ref
appTerm
betaConv
appThm
92
ref
4183
remove
betaConv
appThm
4085
ref
295
ref
4181
remove
211
ref
appTerm
appTerm
4118
remove
appTerm
appTerm
refl
appThm
trans
4182
remove
refl
4134
remove
appThm
eqMp
sym
4085
remove
refl
306
ref
4107
remove
1731
remove
appThm
4080
remove
appThm
appThm
4121
remove
appThm
appThm
sym
4137
remove
306
ref
nil
4143
remove
nil
cons
nil
cons
cons
4136
remove
subst
appThm
4127
remove
refl
4184
def
appThm
appThm
sym
4141
ref
306
ref
1239
remove
306
ref
nil
4160
remove
1738
ref
cons
nil
cons
cons
4185
def
2409
remove
subst
4185
remove
2374
ref
subst
trans
2349
ref
4116
ref
2360
remove
appThm
nil
4146
ref
1737
ref
cons
nil
cons
cons
2374
ref
subst
4186
def
trans
appThm
trans
appThm
4116
remove
2375
remove
appThm
nil
957
ref
2376
remove
nil
cons
cons
1738
remove
cons
nil
cons
cons
2374
remove
subst
2349
ref
4186
remove
appThm
trans
trans
appThm
nil
304
ref
586
ref
2352
remove
4148
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
sym
81
ref
eqMp
subst
appThm
4184
remove
appThm
appThm
sym
4141
remove
4163
remove
appThm
4164
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
4165
remove
90
ref
4174
remove
cons
nil
cons
4187
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4167
remove
4187
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
4168
remove
4173
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
4169
remove
4173
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
4081
remove
4187
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
4188
def
subst
nil
2518
ref
1753
ref
cons
nil
cons
cons
4188
remove
subst
nil
978
ref
1083
ref
cons
nil
cons
cons
306
ref
4000
remove
1686
ref
appTerm
4189
def
refl
4190
def
1075
ref
appThm
appThm
571
ref
4189
remove
195
ref
appTerm
4191
def
appTerm
4191
remove
appTerm
4192
def
refl
appThm
sym
nil
1666
ref
2036
ref
cons
nil
cons
cons
957
ref
295
ref
4013
ref
1275
remove
appTerm
appTerm
571
ref
4013
ref
195
ref
appTerm
4193
def
appTerm
4194
def
4013
ref
961
ref
appTerm
appTerm
appTerm
absTerm
4195
def
961
ref
appTerm
4196
def
betaConv
192
ref
299
ref
4195
ref
appTerm
4197
def
absTerm
4198
def
195
ref
appTerm
4199
def
betaConv
581
ref
299
ref
4198
ref
appTerm
4200
def
absTerm
4201
def
585
ref
appTerm
4202
def
betaConv
nil
299
ref
4201
ref
appTerm
4203
def
axiom
nil
43
ref
4203
remove
nil
cons
cons
44
ref
4202
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4201
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4200
remove
nil
cons
cons
44
ref
4199
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4198
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4197
remove
nil
cons
cons
44
ref
4196
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4195
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4204
def
subst
4205
def
eqMp
subst
1881
ref
1941
ref
306
ref
4190
remove
1077
ref
appThm
appThm
571
ref
1686
remove
appTerm
4206
def
4192
remove
appTerm
refl
appThm
sym
nil
1215
ref
2036
ref
cons
nil
cons
cons
192
ref
295
ref
4013
ref
1030
ref
appTerm
appTerm
586
ref
4193
ref
appTerm
appTerm
absTerm
4207
def
195
ref
appTerm
4208
def
betaConv
581
ref
299
ref
4207
ref
appTerm
4209
def
absTerm
4210
def
585
ref
appTerm
4211
def
betaConv
nil
299
ref
4210
ref
appTerm
4212
def
axiom
nil
43
ref
4212
remove
nil
cons
cons
44
ref
4211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4210
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4209
remove
nil
cons
cons
44
ref
4208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4207
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4213
def
subst
4206
ref
refl
4205
remove
appThm
trans
eqMp
subst
2522
remove
refl
1881
ref
2007
ref
nil
2036
remove
nil
cons
cons
581
ref
295
ref
4013
ref
209
ref
appTerm
appTerm
210
ref
appTerm
absTerm
4214
def
585
ref
appTerm
4215
def
betaConv
nil
299
ref
4214
ref
appTerm
4216
def
axiom
nil
43
ref
4216
remove
nil
cons
cons
44
ref
4215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4214
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
4217
def
appThm
4217
remove
appThm
1941
remove
192
ref
295
ref
4206
ref
1000
ref
appTerm
appTerm
1687
remove
1677
remove
207
ref
207
ref
980
ref
appTerm
4218
def
appTerm
4219
def
appTerm
4220
def
appTerm
appTerm
absTerm
4221
def
195
ref
appTerm
4222
def
betaConv
581
ref
299
ref
4221
ref
appTerm
4223
def
absTerm
4224
def
585
ref
appTerm
4225
def
betaConv
291
ref
649
ref
581
ref
649
ref
192
ref
1740
remove
980
ref
appTerm
4226
def
refl
absThm
appThm
absThm
appThm
appThm
291
ref
306
ref
999
ref
192
ref
295
ref
571
ref
209
ref
appTerm
4227
def
195
ref
appTerm
appTerm
209
ref
appTerm
absTerm
4228
def
195
ref
appTerm
4229
def
betaConv
nil
299
ref
4228
ref
appTerm
4230
def
axiom
nil
43
ref
4230
remove
nil
cons
cons
44
ref
4229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4228
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4231
def
subst
4232
def
appThm
1205
ref
appThm
appThm
291
ref
649
ref
192
ref
306
ref
1208
remove
4231
ref
subst
appThm
1205
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
1212
remove
4231
remove
subst
appThm
1205
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
1228
remove
581
ref
295
ref
586
ref
209
ref
appTerm
appTerm
209
ref
appTerm
absTerm
4233
def
585
ref
appTerm
4234
def
betaConv
nil
299
ref
4233
ref
appTerm
4235
def
axiom
nil
43
ref
4235
remove
nil
cons
cons
44
ref
4234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4233
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4236
def
subst
appThm
1205
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
192
ref
306
ref
1235
remove
4236
remove
subst
appThm
1205
ref
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
2346
ref
1075
ref
appThm
appThm
nil
192
ref
4218
remove
nil
cons
cons
nil
cons
nil
cons
cons
1075
ref
subst
397
ref
nil
2411
ref
nil
cons
nil
cons
cons
1075
ref
subst
4237
def
appThm
4237
remove
appThm
trans
4238
def
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
2346
remove
1077
ref
appThm
1247
ref
192
ref
295
ref
586
ref
1030
ref
appTerm
appTerm
597
ref
980
ref
appTerm
appTerm
absTerm
4239
def
195
ref
appTerm
4240
def
betaConv
581
ref
299
ref
4239
ref
appTerm
4241
def
absTerm
4242
def
585
ref
appTerm
4243
def
betaConv
nil
299
ref
4242
ref
appTerm
4244
def
axiom
nil
43
ref
4244
remove
nil
cons
cons
44
ref
4243
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4242
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4241
remove
nil
cons
cons
44
ref
4240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4239
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4245
def
trans
appThm
1241
remove
4238
ref
appThm
appThm
absThm
appThm
absThm
appThm
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
1881
remove
1255
remove
appThm
4246
def
1075
ref
appThm
1247
remove
2469
ref
subst
trans
appThm
4111
remove
4238
remove
appThm
4247
def
appThm
absThm
appThm
absThm
appThm
appThm
649
ref
581
ref
649
ref
192
ref
306
ref
4246
remove
1077
ref
appThm
1259
remove
2469
remove
subst
nil
1215
remove
581
ref
571
ref
1244
remove
appTerm
4248
def
1065
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1063
remove
subst
1008
ref
397
ref
4245
remove
appThm
1010
ref
refl
appThm
appThm
trans
trans
trans
appThm
1256
remove
4247
remove
appThm
nil
192
ref
4117
remove
202
ref
2272
ref
980
remove
appTerm
4249
def
appTerm
4249
ref
appTerm
4250
def
appTerm
4251
def
nil
cons
4252
def
cons
1246
ref
cons
nil
cons
cons
1054
remove
subst
trans
appThm
nil
192
ref
1252
ref
4251
remove
appTerm
nil
cons
cons
581
ref
202
ref
1252
remove
4248
remove
1010
ref
appTerm
4253
def
appTerm
appTerm
1010
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1225
remove
subst
trans
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
291
ref
649
ref
581
ref
649
ref
192
ref
nil
304
ref
2410
remove
cons
nil
cons
nil
cons
cons
322
ref
subst
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
1270
remove
291
ref
1762
remove
1268
remove
subst
1027
ref
trans
appThm
4254
def
4254
ref
4254
ref
4254
remove
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
1273
remove
957
ref
295
ref
571
ref
598
ref
appTerm
961
ref
appTerm
appTerm
202
ref
981
ref
appTerm
2362
ref
appTerm
appTerm
absTerm
4255
def
961
ref
appTerm
4256
def
betaConv
192
ref
299
ref
4255
ref
appTerm
4257
def
absTerm
4258
def
195
ref
appTerm
4259
def
betaConv
581
ref
299
ref
4258
ref
appTerm
4260
def
absTerm
4261
def
585
ref
appTerm
4262
def
betaConv
nil
299
ref
4261
ref
appTerm
4263
def
axiom
nil
43
ref
4263
remove
nil
cons
cons
44
ref
4262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4261
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4260
remove
nil
cons
cons
44
ref
4259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4258
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4257
remove
nil
cons
cons
44
ref
4256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4255
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
397
ref
nil
1666
ref
nil
cons
nil
cons
cons
4264
def
2285
ref
961
ref
appTerm
4265
def
betaConv
2287
ref
195
ref
appTerm
4266
def
betaConv
2289
ref
585
ref
appTerm
4267
def
betaConv
2291
remove
nil
43
ref
2290
remove
nil
cons
cons
44
ref
4267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2289
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2288
remove
nil
cons
cons
44
ref
4266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2287
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
2286
remove
nil
cons
cons
44
ref
4265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
2285
remove
nil
cons
cons
974
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4268
def
appThm
4268
remove
appThm
nil
957
ref
4249
ref
nil
cons
cons
2411
remove
2471
remove
cons
cons
nil
cons
cons
1664
ref
subst
4269
def
trans
trans
4270
def
appThm
4269
ref
appThm
nil
304
ref
2272
ref
2272
remove
4249
remove
appTerm
appTerm
4271
def
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
nil
957
ref
4253
ref
nil
cons
4272
def
cons
1238
ref
cons
nil
cons
cons
1664
ref
subst
1665
ref
1665
ref
4270
ref
appThm
appThm
trans
appThm
nil
957
ref
4250
remove
nil
cons
cons
4273
def
1238
ref
cons
nil
cons
cons
1664
ref
subst
1665
ref
1665
ref
4269
ref
appThm
appThm
trans
appThm
nil
304
ref
597
ref
597
ref
4271
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
291
ref
649
ref
581
ref
649
ref
192
ref
306
ref
nil
1666
remove
581
ref
4272
ref
cons
nil
cons
4274
def
cons
nil
cons
cons
1668
remove
subst
630
ref
refl
4275
def
nil
4274
remove
nil
cons
cons
2199
remove
subst
4275
ref
4270
remove
appThm
trans
appThm
trans
4276
def
appThm
nil
4273
remove
1045
ref
cons
nil
cons
cons
1664
ref
subst
4275
ref
4275
remove
4269
remove
appThm
appThm
trans
4277
def
appThm
nil
304
ref
630
ref
630
remove
4271
remove
appTerm
appTerm
4278
def
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
649
ref
581
ref
649
ref
192
ref
306
ref
nil
1272
remove
192
ref
4272
remove
cons
1246
remove
cons
cons
nil
cons
cons
1664
ref
subst
nil
957
ref
202
ref
4253
remove
appTerm
1010
remove
appTerm
nil
cons
cons
1238
ref
cons
nil
cons
cons
1664
ref
subst
trans
1665
ref
1665
ref
4276
remove
appThm
appThm
trans
appThm
nil
957
ref
4252
remove
cons
1238
remove
cons
nil
cons
cons
1664
remove
subst
1665
ref
1665
remove
4277
remove
appThm
appThm
trans
appThm
nil
304
ref
597
ref
597
remove
4278
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
1269
ref
trans
absThm
appThm
1269
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
299
ref
581
ref
299
ref
192
ref
4226
remove
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
90
ref
51
ref
295
ref
4227
ref
209
ref
appTerm
4279
def
appTerm
209
ref
appTerm
4280
def
appTerm
51
ref
299
ref
192
ref
295
ref
4227
ref
1003
ref
appTerm
appTerm
209
ref
appTerm
absTerm
appTerm
4281
def
appTerm
51
ref
299
ref
192
ref
295
ref
4227
remove
1000
ref
appTerm
appTerm
209
ref
appTerm
absTerm
appTerm
4282
def
appTerm
51
ref
299
ref
192
ref
295
ref
571
ref
1003
ref
appTerm
209
ref
appTerm
appTerm
209
ref
appTerm
absTerm
appTerm
4283
def
appTerm
51
ref
299
ref
192
ref
295
ref
571
ref
1000
ref
appTerm
209
ref
appTerm
appTerm
209
ref
appTerm
absTerm
appTerm
4284
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
295
ref
2415
ref
1003
ref
appTerm
appTerm
4219
ref
appTerm
absTerm
appTerm
absTerm
appTerm
4285
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
295
ref
2415
remove
1000
ref
appTerm
appTerm
1197
remove
4219
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4286
def
appTerm
51
ref
299
ref
581
ref
299
ref
192
ref
295
ref
4206
remove
1003
ref
appTerm
appTerm
4220
remove
appTerm
absTerm
appTerm
absTerm
appTerm
4287
def
appTerm
299
ref
4224
ref
appTerm
4288
def
appTerm
4289
def
appTerm
4290
def
appTerm
4291
def
appTerm
4292
def
appTerm
4293
def
appTerm
4294
def
appTerm
4295
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4280
remove
nil
cons
cons
90
ref
4295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4281
remove
nil
cons
cons
90
ref
4294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4282
remove
nil
cons
cons
90
ref
4293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4283
remove
nil
cons
cons
90
ref
4292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4284
remove
nil
cons
cons
90
ref
4291
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4285
remove
nil
cons
cons
90
ref
4290
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4286
remove
nil
cons
cons
90
ref
4289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
88
ref
4287
remove
nil
cons
cons
90
ref
4288
remove
nil
cons
4296
def
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
proveHyp
nil
43
ref
4296
remove
cons
44
ref
4225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4224
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4223
remove
nil
cons
cons
44
ref
4222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4221
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
2560
remove
refl
nil
192
ref
207
ref
4279
ref
appTerm
nil
cons
cons
1083
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
192
ref
4279
remove
nil
cons
cons
nil
cons
nil
cons
cons
1209
remove
subst
1708
ref
4232
remove
appThm
1016
ref
trans
trans
appThm
1016
remove
trans
trans
appThm
999
ref
1236
remove
subst
trans
trans
4297
def
trans
appThm
4297
ref
trans
trans
4298
def
appThm
4298
remove
appThm
4297
remove
trans
trans
eqMp
4299
def
eqMp
4300
def
eqMp
4301
def
eqMp
eqMp
nil
43
ref
295
ref
571
ref
256
ref
appTerm
256
ref
appTerm
appTerm
4009
ref
appTerm
4302
def
nil
cons
cons
44
ref
295
ref
4001
ref
214
ref
appTerm
4303
def
appTerm
4009
ref
appTerm
4304
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2514
ref
957
ref
2508
ref
cons
4305
def
nil
cons
4306
def
cons
nil
cons
cons
4075
ref
subst
4171
remove
4170
ref
subst
4299
ref
eqMp
4307
def
eqMp
4308
def
nil
43
ref
295
ref
571
ref
214
ref
appTerm
4309
def
214
ref
appTerm
appTerm
256
ref
appTerm
4310
def
nil
cons
cons
44
ref
295
ref
4001
ref
213
remove
appTerm
appTerm
256
remove
appTerm
4311
def
nil
cons
4312
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2516
ref
3361
ref
cons
nil
cons
cons
4075
ref
subst
4300
remove
eqMp
4313
def
nil
43
ref
295
ref
571
ref
212
ref
appTerm
212
ref
appTerm
appTerm
214
ref
appTerm
4314
def
nil
cons
cons
4315
def
44
ref
295
ref
4001
ref
212
ref
appTerm
appTerm
214
ref
appTerm
4316
def
nil
cons
4317
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4299
ref
nil
43
ref
295
ref
4001
ref
211
ref
appTerm
appTerm
212
remove
appTerm
nil
cons
cons
4318
def
44
ref
45
ref
4314
remove
appTerm
4319
def
4316
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
1184
ref
957
ref
2161
remove
cons
4320
def
2451
ref
442
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
43
ref
295
ref
4193
ref
appTerm
961
ref
appTerm
4321
def
nil
cons
4322
def
cons
4323
def
44
ref
45
ref
295
ref
571
ref
961
ref
appTerm
961
ref
appTerm
appTerm
4324
def
2453
ref
appTerm
appTerm
295
ref
4013
ref
1003
remove
appTerm
appTerm
4325
def
2453
ref
appTerm
4326
def
appTerm
nil
cons
4327
def
cons
nil
cons
cons
nil
cons
cons
4328
def
62
ref
subst
4328
remove
126
ref
subst
20
ref
"_9229"
186
ref
var
4329
def
45
ref
295
ref
571
ref
4329
remove
varTerm
4330
def
appTerm
4330
remove
appTerm
appTerm
2453
ref
appTerm
appTerm
4326
ref
appTerm
absTerm
4331
def
961
ref
appTerm
4332
def
appTerm
refl
4331
ref
4193
ref
appTerm
betaConv
appThm
92
ref
4332
remove
betaConv
appThm
45
ref
295
ref
4194
remove
4193
ref
appTerm
4333
def
appTerm
4334
def
2453
ref
appTerm
4335
def
appTerm
4326
ref
appTerm
refl
appThm
trans
4331
remove
refl
4321
remove
assume
sym
4336
def
appThm
eqMp
sym
nil
43
ref
4335
ref
nil
cons
4337
def
cons
44
ref
4326
remove
nil
cons
4338
def
cons
nil
cons
cons
nil
cons
cons
4339
def
62
ref
subst
4339
remove
126
ref
subst
20
ref
"_9231"
186
ref
var
4340
def
4325
ref
4340
remove
varTerm
appTerm
absTerm
4341
def
2453
ref
appTerm
4342
def
appTerm
refl
4341
ref
4333
ref
appTerm
betaConv
appThm
92
ref
4342
remove
betaConv
appThm
4325
remove
4333
ref
appTerm
refl
appThm
trans
4341
remove
refl
4335
remove
assume
sym
appThm
eqMp
sym
4103
ref
1075
remove
appThm
4264
remove
4204
remove
subst
4343
def
trans
eqMp
eqMp
nil
88
ref
4337
remove
cons
90
ref
4338
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
4322
remove
cons
4344
def
90
ref
4327
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
4345
def
subst
eqMp
eqMp
nil
43
ref
4317
remove
cons
44
ref
45
ref
4310
remove
appTerm
4311
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
2162
remove
2561
remove
2451
ref
2508
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
4345
ref
subst
eqMp
eqMp
nil
43
ref
4312
remove
cons
44
ref
45
ref
4302
remove
appTerm
4304
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
2150
remove
4305
remove
2451
ref
4010
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
4345
ref
subst
eqMp
eqMp
4346
def
appThm
425
ref
appThm
nil
581
ref
2449
remove
cons
2563
ref
957
ref
207
ref
207
ref
207
ref
4009
ref
appTerm
4347
def
appTerm
4348
def
appTerm
4349
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2484
remove
2563
ref
957
ref
4348
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2499
remove
2563
ref
957
ref
4347
remove
nil
cons
cons
nil
cons
4350
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
2501
remove
2563
ref
4012
ref
cons
cons
nil
cons
cons
2416
ref
subst
nil
2502
ref
2563
ref
2450
remove
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2505
ref
2563
ref
957
ref
2483
ref
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2507
remove
2563
ref
957
ref
2498
remove
cons
nil
cons
4351
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
2509
remove
2563
ref
957
ref
2500
ref
cons
nil
cons
4352
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
1182
ref
2563
ref
2419
remove
cons
cons
nil
cons
cons
2416
ref
subst
nil
2511
remove
2563
ref
957
ref
2504
ref
cons
4353
def
nil
cons
4354
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
2513
ref
2563
ref
957
ref
2506
remove
cons
nil
cons
4355
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
2514
ref
2563
ref
4306
ref
cons
cons
nil
cons
cons
2416
ref
subst
4308
remove
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
trans
appThm
nil
3025
ref
192
ref
4010
remove
cons
957
ref
3814
remove
nil
cons
4356
def
cons
nil
cons
cons
cons
nil
cons
cons
2147
ref
subst
nil
3357
ref
192
ref
2500
remove
cons
2303
remove
cons
cons
nil
cons
cons
2817
ref
subst
nil
2160
ref
192
ref
2508
remove
cons
4357
def
3358
ref
cons
cons
nil
cons
cons
2817
ref
subst
nil
3998
remove
nil
cons
cons
4358
def
nil
1192
remove
581
ref
2437
remove
cons
nil
cons
4359
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
1709
remove
581
ref
2439
remove
cons
nil
cons
4360
def
cons
nil
cons
cons
2124
ref
subst
2099
ref
nil
1207
remove
2562
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
2007
ref
2124
ref
subst
2099
ref
1024
ref
appThm
trans
appThm
trans
appThm
trans
appThm
trans
4361
def
subst
eqMp
eqMp
eqMp
trans
appThm
3887
remove
appThm
3820
remove
3438
remove
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
eqMp
eqMp
302
ref
303
ref
3966
ref
nil
cons
cons
304
ref
3968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3966
remove
appTerm
nil
cons
cons
44
ref
3965
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
3818
ref
cons
4362
def
581
ref
3892
remove
nil
cons
4363
def
cons
nil
cons
cons
nil
cons
cons
1174
remove
subst
eqMp
eqMp
eqMp
302
ref
303
ref
3890
ref
nil
cons
cons
304
ref
4363
remove
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
3890
remove
appTerm
nil
cons
cons
44
ref
3888
remove
3815
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4362
remove
581
ref
3868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2724
ref
subst
eqMp
eqMp
eqMp
4364
def
subst
sym
81
ref
eqMp
eqMp
eqMp
nil
3916
remove
90
ref
3848
ref
cons
nil
cons
4365
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
4366
def
eqMp
nil
388
ref
4365
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
4367
def
subst
trans
absThm
appThm
1269
remove
trans
trans
appThm
342
ref
trans
sym
81
ref
eqMp
eqMp
"A"
3717
ref
cons
nil
cons
4368
def
"P"
3805
ref
var
4369
def
3813
ref
nil
cons
cons
"x"
3715
ref
var
4370
def
3827
remove
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
29
ref
0
ref
3805
remove
17
ref
cons
opType
4371
def
constTerm
4372
def
3813
remove
appTerm
nil
cons
cons
44
ref
3806
ref
3722
ref
appTerm
4373
def
nil
cons
4374
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
3828
ref
nil
cons
cons
320
ref
3730
ref
45
ref
29
ref
3742
remove
constTerm
3725
ref
51
ref
3707
ref
3726
remove
constTerm
4375
def
3732
ref
appTerm
4376
def
appTerm
4377
def
3830
remove
appTerm
4378
def
absTerm
4379
def
appTerm
4380
def
appTerm
4381
def
4375
ref
3731
ref
appTerm
4382
def
appTerm
4383
def
absTerm
4384
def
3731
ref
appTerm
4385
def
betaConv
nil
3743
ref
3730
ref
3743
ref
3725
ref
45
ref
4378
ref
appTerm
4382
ref
appTerm
absTerm
4386
def
appTerm
4387
def
absTerm
4388
def
appTerm
4389
def
axiom
nil
43
ref
4389
ref
nil
cons
4390
def
cons
4391
def
44
ref
3743
ref
4384
ref
appTerm
nil
cons
4392
def
cons
nil
cons
cons
nil
cons
cons
4393
def
113
ref
subst
proveHyp
4393
ref
62
ref
subst
4393
remove
126
ref
subst
nil
3752
ref
4384
remove
nil
cons
cons
4394
def
nil
cons
nil
cons
cons
3751
ref
8
ref
cons
183
ref
subst
4395
def
subst
3730
ref
nil
75
ref
4383
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4380
remove
nil
cons
4396
def
cons
4397
def
44
ref
4382
ref
nil
cons
4398
def
cons
nil
cons
4399
def
cons
nil
cons
cons
4400
def
62
ref
subst
4400
remove
126
ref
subst
nil
4391
ref
4399
ref
cons
nil
cons
cons
4401
def
113
ref
subst
nil
4397
remove
44
ref
45
ref
4389
remove
appTerm
4382
ref
appTerm
4402
def
nil
cons
4403
def
cons
nil
cons
4404
def
cons
nil
cons
cons
113
ref
subst
nil
3752
ref
3725
ref
45
ref
4379
ref
3732
ref
appTerm
4405
def
appTerm
4402
ref
appTerm
4406
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
4395
remove
subst
3725
ref
nil
75
ref
4406
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4405
ref
nil
cons
4407
def
cons
4404
ref
cons
nil
cons
cons
4408
def
62
ref
subst
4408
remove
126
ref
subst
4405
ref
betaConv
4405
remove
assume
eqMp
nil
43
ref
4378
remove
nil
cons
4409
def
cons
4410
def
4404
remove
cons
nil
cons
cons
4411
def
113
ref
subst
proveHyp
4411
ref
62
ref
subst
4411
remove
126
ref
subst
4401
ref
62
ref
subst
4401
remove
126
ref
subst
nil
4410
remove
4399
remove
cons
nil
cons
cons
113
ref
subst
4386
ref
3732
ref
appTerm
4412
def
betaConv
4388
ref
3731
ref
appTerm
4413
def
betaConv
nil
4391
remove
44
ref
4413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
3751
ref
3752
ref
4388
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4387
remove
nil
cons
cons
44
ref
4412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4386
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4390
remove
cons
4414
def
90
ref
4398
remove
cons
nil
cons
4415
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
4409
remove
cons
90
ref
4403
remove
cons
nil
cons
4416
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
4407
remove
cons
4416
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
3743
ref
3753
ref
45
ref
4379
ref
3753
remove
varTerm
appTerm
appTerm
4402
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
4381
remove
4402
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4379
remove
nil
cons
cons
4416
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4396
remove
cons
4415
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
4414
remove
90
ref
4392
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
4392
remove
cons
44
ref
4385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
4394
remove
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4417
def
subst
eqMp
4418
def
nil
43
ref
4374
ref
cons
44
ref
3711
ref
3723
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
3762
remove
3763
remove
nil
cons
cons
nil
cons
cons
4419
def
3764
ref
3730
ref
45
ref
4382
ref
appTerm
4420
def
3707
ref
3766
ref
constTerm
4421
def
3769
ref
appTerm
appTerm
absTerm
4422
def
3731
ref
appTerm
4423
def
betaConv
14
ref
3743
ref
4422
ref
appTerm
4424
def
absTerm
4425
def
23
ref
appTerm
4426
def
betaConv
nil
41
ref
4425
ref
appTerm
4427
def
axiom
nil
43
ref
4427
remove
nil
cons
cons
44
ref
4426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
4425
remove
nil
cons
cons
117
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4424
remove
nil
cons
cons
44
ref
4423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4422
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
nil
3711
remove
3713
ref
appTerm
thm
nil
"g"
288
ref
var
4428
def
"Function.o"
const
4429
def
0
ref
200
ref
0
ref
288
ref
288
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
4430
def
413
ref
appTerm
289
ref
appTerm
4431
def
nil
cons
cons
"f"
288
ref
var
4432
def
3865
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
149
ref
"B"
198
ref
cons
4433
def
nil
cons
4434
def
cons
8
ref
cons
"g"
13
ref
var
4435
def
20
ref
1410
remove
23
ref
appTerm
4435
ref
varTerm
4436
def
appTerm
4437
def
appTerm
118
ref
33
ref
34
ref
37
ref
appTerm
4438
def
4436
ref
36
ref
appTerm
4439
def
appTerm
absTerm
appTerm
4440
def
appTerm
absTerm
4441
def
4436
ref
appTerm
4442
def
betaConv
14
ref
41
ref
4441
ref
appTerm
4443
def
absTerm
4444
def
23
ref
appTerm
4445
def
betaConv
1416
ref
14
ref
1416
remove
4435
ref
nil
3748
remove
4440
ref
nil
cons
cons
338
ref
4437
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3749
remove
subst
absThm
appThm
absThm
appThm
sym
nil
41
ref
14
ref
41
ref
4435
ref
20
ref
4440
remove
appTerm
4437
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
43
ref
41
ref
4444
ref
appTerm
nil
cons
cons
44
ref
4445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
4444
remove
nil
cons
cons
117
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4443
remove
nil
cons
cons
44
ref
4442
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
4441
remove
nil
cons
cons
116
remove
4436
ref
nil
cons
cons
nil
cons
4446
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4447
def
subst
140
ref
148
ref
306
ref
nil
175
ref
148
ref
varTerm
4448
def
nil
cons
cons
nil
cons
nil
cons
cons
4449
def
3880
remove
subst
appThm
nil
4428
ref
289
ref
nil
cons
cons
4450
def
"f"
200
ref
var
4451
def
413
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4433
remove
149
remove
"C"
198
ref
cons
nil
cons
cons
cons
8
ref
cons
33
ref
15
ref
0
ref
"C"
varType
4452
def
0
ref
4452
ref
17
ref
cons
opType
nil
cons
cons
opType
constTerm
4453
def
4429
remove
0
ref
0
ref
10
ref
4452
remove
nil
cons
4454
def
cons
opType
4455
def
0
ref
13
remove
0
ref
9
ref
4454
ref
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
"f"
4455
ref
var
4456
def
varTerm
4457
def
appTerm
4436
ref
appTerm
36
ref
appTerm
appTerm
4457
ref
4439
remove
appTerm
appTerm
absTerm
4458
def
36
ref
appTerm
4459
def
betaConv
4435
remove
118
ref
4458
ref
appTerm
4460
def
absTerm
4461
def
4436
remove
appTerm
4462
def
betaConv
4456
remove
41
ref
4461
ref
appTerm
4463
def
absTerm
4464
def
4457
ref
appTerm
4465
def
betaConv
nil
24
ref
0
ref
0
ref
4455
ref
17
ref
cons
opType
4466
def
17
ref
cons
opType
constTerm
4464
ref
appTerm
4467
def
axiom
nil
43
ref
4467
remove
nil
cons
cons
44
ref
4465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
4455
ref
nil
cons
4468
def
cons
nil
cons
"P"
4466
remove
var
4464
remove
nil
cons
cons
"x"
4455
remove
var
4457
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4463
remove
nil
cons
cons
44
ref
4462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
4461
remove
nil
cons
cons
4446
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4460
remove
nil
cons
cons
44
ref
4459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
4458
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4469
def
subst
appThm
nil
304
ref
413
ref
289
ref
4448
remove
appTerm
4470
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
ref
subst
trans
absThm
appThm
3884
ref
trans
trans
sym
81
ref
eqMp
nil
15
ref
0
ref
288
ref
0
ref
288
remove
17
ref
cons
opType
nil
cons
cons
opType
constTerm
4471
def
3865
remove
appTerm
4431
remove
appTerm
thm
nil
4428
remove
4430
remove
398
ref
appTerm
289
ref
appTerm
4472
def
nil
cons
cons
4432
remove
3863
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4447
remove
subst
140
ref
148
remove
306
ref
4449
remove
3874
remove
subst
appThm
nil
4450
remove
4451
remove
398
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4469
remove
subst
appThm
nil
304
ref
398
ref
4470
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
322
remove
subst
trans
absThm
appThm
3884
remove
trans
trans
sym
81
ref
eqMp
nil
4471
remove
3863
remove
appTerm
4472
remove
appTerm
thm
3706
remove
nil
139
ref
182
remove
appTerm
thm
nil
174
ref
175
ref
373
remove
absTerm
4473
def
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
175
ref
nil
75
ref
374
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
371
remove
eqMp
absThm
eqMp
nil
139
ref
4473
remove
appTerm
thm
4418
ref
nil
4373
ref
thm
nil
174
ref
175
ref
3987
remove
absTerm
4474
def
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
175
ref
3996
remove
absThm
eqMp
nil
139
ref
4474
remove
appTerm
thm
nil
174
ref
"c1"
2
ref
var
4475
def
139
ref
"c2"
2
remove
var
4476
def
20
ref
295
ref
289
ref
4475
ref
varTerm
4477
def
appTerm
appTerm
289
ref
4476
ref
varTerm
4478
def
appTerm
appTerm
4479
def
appTerm
177
ref
4477
ref
appTerm
4478
ref
appTerm
4480
def
appTerm
4481
def
absTerm
4482
def
appTerm
4483
def
absTerm
4484
def
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
4475
remove
nil
75
ref
4483
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
174
ref
4482
remove
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
4476
remove
nil
75
ref
4481
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4479
ref
nil
cons
4485
def
cons
44
ref
4480
ref
nil
cons
4486
def
cons
nil
cons
cons
nil
cons
cons
4487
def
538
ref
subst
4487
ref
62
ref
subst
4487
remove
126
ref
subst
185
remove
nil
308
ref
4477
remove
nil
cons
cons
nil
cons
nil
cons
cons
308
ref
177
ref
310
ref
appTerm
311
remove
appTerm
4488
def
absTerm
4489
def
310
remove
appTerm
4490
def
betaConv
140
remove
308
ref
4488
remove
assume
sym
312
remove
assume
sym
deductAntisym
absThm
appThm
316
remove
eqMp
nil
43
ref
139
ref
4489
ref
appTerm
nil
cons
cons
44
ref
4490
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
150
remove
174
ref
4489
remove
nil
cons
cons
317
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4491
def
subst
appThm
nil
308
remove
4478
remove
nil
cons
cons
nil
cons
nil
cons
cons
4491
remove
subst
appThm
sym
2735
remove
4479
ref
assume
appThm
eqMp
eqMp
nil
88
ref
4485
ref
cons
90
ref
4486
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
45
ref
4479
ref
appTerm
4480
ref
appTerm
nil
cons
cons
44
ref
45
ref
4480
ref
appTerm
4479
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
4486
ref
cons
44
ref
4485
ref
cons
nil
cons
cons
nil
cons
cons
4492
def
62
ref
subst
4492
remove
126
ref
subst
307
ref
4480
remove
assume
appThm
eqMp
nil
88
ref
4486
remove
cons
90
ref
4485
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
139
ref
4484
remove
appTerm
thm
3802
remove
nil
15
ref
0
ref
3709
ref
3757
remove
cons
opType
constTerm
3723
ref
appTerm
3713
ref
appTerm
thm
nil
303
ref
192
ref
3846
remove
466
ref
"Number.Natural.Bits.width"
const
200
ref
constTerm
4493
def
195
ref
appTerm
appTerm
4494
def
208
ref
207
ref
208
ref
211
remove
appTerm
4495
def
appTerm
4496
def
appTerm
4497
def
appTerm
4498
def
appTerm
4499
def
absTerm
4500
def
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4499
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
453
remove
44
ref
4498
remove
nil
cons
4501
def
cons
nil
cons
cons
nil
cons
cons
4502
def
62
ref
subst
4502
remove
126
ref
subst
nil
426
ref
4497
ref
nil
cons
cons
nil
cons
nil
cons
cons
426
ref
20
ref
4494
remove
427
ref
appTerm
4503
def
appTerm
1861
ref
4002
ref
appTerm
appTerm
absTerm
4504
def
427
ref
appTerm
4505
def
betaConv
192
ref
299
ref
4504
ref
appTerm
4506
def
absTerm
4507
def
195
ref
appTerm
4508
def
betaConv
nil
299
ref
4507
ref
appTerm
4509
def
axiom
nil
43
ref
4509
remove
nil
cons
cons
44
ref
4508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4507
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4506
remove
nil
cons
cons
44
ref
4505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4504
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4510
def
subst
sym
"n'"
186
ref
var
4511
def
51
ref
1861
ref
4511
ref
varTerm
4512
def
appTerm
appTerm
4513
def
466
ref
4512
remove
appTerm
4514
def
4001
ref
4497
remove
appTerm
4515
def
appTerm
appTerm
absTerm
4516
def
3815
ref
appTerm
betaConv
sym
4366
remove
nil
43
ref
3848
remove
cons
44
ref
466
ref
3815
remove
appTerm
4517
def
4515
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
4517
remove
refl
nil
2518
ref
192
ref
207
ref
4349
remove
appTerm
4518
def
nil
cons
4519
def
cons
4520
def
957
ref
4519
ref
cons
nil
cons
4521
def
cons
cons
nil
cons
cons
2416
ref
subst
nil
4520
remove
nil
cons
nil
cons
cons
2526
ref
subst
eqMp
nil
43
ref
295
ref
1724
ref
4518
ref
appTerm
appTerm
207
ref
4518
ref
appTerm
4522
def
appTerm
4523
def
nil
cons
cons
44
ref
295
ref
4515
ref
appTerm
4522
ref
appTerm
4524
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2505
remove
4521
remove
cons
nil
cons
cons
4075
ref
subst
nil
1182
ref
192
ref
2483
remove
cons
nil
cons
cons
nil
cons
cons
4170
ref
subst
nil
2514
ref
4357
remove
nil
cons
cons
nil
cons
cons
4170
remove
subst
4307
remove
eqMp
eqMp
eqMp
nil
43
ref
295
ref
571
ref
258
ref
appTerm
258
ref
appTerm
appTerm
4518
remove
appTerm
4525
def
nil
cons
cons
44
ref
45
ref
4523
remove
appTerm
4524
remove
appTerm
4526
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2513
ref
4354
remove
cons
nil
cons
cons
4075
remove
subst
4301
remove
eqMp
nil
43
ref
295
ref
571
ref
246
ref
appTerm
246
ref
appTerm
appTerm
258
ref
appTerm
4527
def
nil
cons
cons
44
ref
295
ref
4001
ref
4496
ref
appTerm
appTerm
258
remove
appTerm
4528
def
nil
cons
4529
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2518
ref
2563
ref
3361
ref
cons
cons
nil
cons
cons
2416
ref
subst
4358
ref
2526
ref
subst
eqMp
nil
43
ref
295
ref
1724
remove
214
ref
appTerm
appTerm
246
ref
appTerm
4530
def
nil
cons
cons
44
ref
295
ref
4001
remove
4495
ref
appTerm
appTerm
246
remove
appTerm
4531
def
nil
cons
4532
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4313
remove
nil
4315
remove
44
ref
45
ref
4530
remove
appTerm
4531
remove
appTerm
4533
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4299
remove
nil
4318
remove
44
ref
4319
remove
4533
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
1184
ref
4320
remove
3122
ref
442
ref
cons
2451
ref
2512
remove
cons
nil
cons
cons
cons
cons
cons
nil
cons
cons
nil
4323
remove
44
ref
45
ref
4324
remove
3125
ref
appTerm
appTerm
45
ref
295
ref
586
ref
3125
ref
appTerm
appTerm
2453
ref
appTerm
appTerm
295
ref
4013
remove
1000
remove
appTerm
appTerm
4534
def
2453
ref
appTerm
4535
def
appTerm
4536
def
appTerm
nil
cons
4537
def
cons
nil
cons
cons
nil
cons
cons
4538
def
62
ref
subst
4538
remove
126
ref
subst
20
ref
"_9233"
186
ref
var
4539
def
45
ref
295
ref
571
ref
4539
remove
varTerm
4540
def
appTerm
4540
remove
appTerm
appTerm
3125
ref
appTerm
appTerm
4536
ref
appTerm
absTerm
4541
def
961
ref
appTerm
4542
def
appTerm
refl
4541
ref
4193
remove
appTerm
betaConv
appThm
92
ref
4542
remove
betaConv
appThm
45
ref
4334
remove
3125
ref
appTerm
4543
def
appTerm
4536
ref
appTerm
refl
appThm
trans
4541
remove
refl
4336
remove
appThm
eqMp
sym
nil
43
ref
4543
ref
nil
cons
4544
def
cons
44
ref
4536
remove
nil
cons
4545
def
cons
nil
cons
cons
nil
cons
cons
4546
def
62
ref
subst
4546
remove
126
ref
subst
20
ref
"_9235"
186
ref
var
4547
def
45
ref
295
ref
586
ref
4547
remove
varTerm
appTerm
appTerm
2453
ref
appTerm
appTerm
4535
ref
appTerm
absTerm
4548
def
3125
ref
appTerm
4549
def
appTerm
refl
4548
ref
4333
ref
appTerm
betaConv
appThm
92
ref
4549
remove
betaConv
appThm
45
ref
295
ref
586
remove
4333
remove
appTerm
4550
def
appTerm
2453
ref
appTerm
4551
def
appTerm
4535
ref
appTerm
refl
appThm
trans
4548
remove
refl
4543
remove
assume
sym
appThm
eqMp
sym
nil
43
ref
4551
ref
nil
cons
4552
def
cons
44
ref
4535
remove
nil
cons
4553
def
cons
nil
cons
cons
nil
cons
cons
4554
def
62
ref
subst
4554
remove
126
ref
subst
20
ref
"_9237"
186
ref
var
4555
def
4534
ref
4555
remove
varTerm
appTerm
absTerm
4556
def
2453
ref
appTerm
4557
def
appTerm
refl
4556
ref
4550
ref
appTerm
betaConv
appThm
92
ref
4557
remove
betaConv
appThm
4534
remove
4550
remove
appTerm
refl
appThm
trans
4556
remove
refl
4551
remove
assume
sym
appThm
eqMp
sym
4103
remove
1077
remove
appThm
1809
remove
4213
remove
subst
2349
remove
4343
remove
appThm
trans
trans
eqMp
eqMp
nil
88
ref
4552
remove
cons
90
ref
4553
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
4544
remove
cons
90
ref
4545
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4344
remove
90
ref
4537
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
4558
def
subst
eqMp
eqMp
eqMp
nil
43
ref
4532
remove
cons
44
ref
45
ref
4527
remove
appTerm
4528
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
192
ref
4495
remove
nil
cons
cons
2870
ref
2451
ref
2504
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
4345
remove
subst
eqMp
eqMp
nil
43
ref
4529
remove
cons
44
ref
45
ref
4525
remove
appTerm
4526
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1736
ref
192
ref
4496
ref
nil
cons
cons
4353
remove
3122
ref
4519
remove
cons
2451
ref
4522
remove
nil
cons
4559
def
cons
nil
cons
cons
cons
cons
cons
nil
cons
cons
4558
remove
subst
eqMp
eqMp
eqMp
appThm
nil
581
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
2103
remove
appTerm
appTerm
appTerm
4560
def
appTerm
appTerm
appTerm
appTerm
4561
def
appTerm
appTerm
appTerm
appTerm
4562
def
nil
cons
cons
192
ref
4356
remove
cons
4350
remove
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2424
ref
581
ref
208
ref
1194
remove
appTerm
nil
cons
cons
nil
cons
4563
def
cons
nil
cons
cons
1707
ref
subst
1708
ref
2882
ref
2311
ref
subst
1708
ref
1008
ref
2884
remove
appThm
2531
remove
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2538
ref
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
nil
581
ref
4561
remove
nil
cons
cons
192
ref
2302
remove
cons
4351
remove
cons
cons
nil
cons
cons
2528
ref
306
ref
1008
ref
2887
remove
appThm
3537
remove
2427
remove
subst
1708
ref
2532
ref
appThm
trans
trans
appThm
1720
ref
appThm
2538
ref
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
4564
def
subst
nil
581
ref
4560
remove
nil
cons
cons
192
ref
2334
remove
cons
4355
remove
cons
cons
nil
cons
cons
4564
ref
subst
nil
2160
ref
2563
ref
2870
remove
nil
cons
cons
cons
nil
cons
cons
4564
remove
subst
nil
1082
ref
978
ref
4146
remove
nil
cons
cons
cons
nil
cons
cons
2422
ref
306
ref
1008
ref
4361
remove
appThm
2431
ref
trans
appThm
1720
ref
appThm
2434
ref
trans
appThm
2435
ref
trans
sym
81
ref
eqMp
subst
1008
ref
999
remove
1213
ref
subst
appThm
2443
remove
trans
eqMp
eqMp
eqMp
eqMp
eqMp
4565
def
nil
581
ref
207
ref
208
ref
207
ref
207
ref
4562
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
3819
remove
957
ref
4559
remove
cons
nil
cons
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
4565
remove
eqMp
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
4516
ref
nil
cons
cons
304
ref
3818
remove
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
4516
remove
appTerm
nil
cons
cons
44
ref
1861
ref
4515
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
4515
remove
nil
cons
cons
1045
ref
cons
nil
cons
cons
2724
ref
subst
eqMp
eqMp
eqMp
nil
388
ref
90
ref
4501
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
299
ref
4500
remove
appTerm
thm
nil
174
ref
175
ref
3900
remove
absTerm
4566
def
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
175
ref
nil
75
ref
3901
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
3919
remove
eqMp
absThm
eqMp
nil
139
ref
4566
remove
appTerm
thm
3885
remove
nil
3886
remove
thm
nil
174
ref
175
ref
3894
remove
absTerm
4567
def
nil
cons
cons
nil
cons
nil
cons
cons
184
ref
subst
175
ref
3962
remove
absThm
eqMp
nil
139
ref
4567
remove
appTerm
thm
306
ref
"Set.size"
const
4568
def
0
ref
3709
remove
198
ref
cons
opType
constTerm
4569
def
refl
3803
remove
appThm
appThm
265
ref
refl
appThm
sym
1566
ref
51
ref
295
ref
4569
ref
3723
remove
appTerm
4570
def
appTerm
4571
def
1569
ref
appTerm
appTerm
1576
ref
265
ref
appTerm
4572
def
appTerm
absTerm
4573
def
4568
ref
0
ref
3715
ref
198
ref
cons
opType
constTerm
4574
def
3722
ref
appTerm
4575
def
appTerm
betaConv
sym
291
ref
649
ref
304
ref
649
ref
1566
ref
454
ref
291
ref
3795
ref
appThm
291
ref
nil
3786
ref
304
ref
1569
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3794
ref
subst
appThm
177
ref
3784
remove
appTerm
194
ref
1569
ref
appTerm
4576
def
appTerm
4577
def
refl
appThm
appThm
appThm
1570
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
75
ref
4374
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
4418
remove
eqMp
4578
def
appThm
nil
75
ref
299
ref
304
ref
299
ref
1566
ref
45
ref
51
ref
3800
ref
appTerm
4579
def
51
ref
281
ref
1569
ref
appTerm
appTerm
4580
def
4577
ref
appTerm
appTerm
appTerm
1570
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
nil
303
ref
188
ref
299
ref
1566
ref
45
ref
51
ref
281
ref
240
ref
appTerm
appTerm
4581
def
4580
remove
177
remove
194
ref
240
ref
appTerm
4582
def
appTerm
4583
def
4576
remove
appTerm
appTerm
appTerm
appTerm
295
ref
240
ref
appTerm
4584
def
1569
ref
appTerm
appTerm
absTerm
appTerm
4585
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
188
ref
nil
75
ref
4585
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
189
ref
45
ref
4581
remove
51
ref
281
remove
219
ref
appTerm
appTerm
4583
remove
194
remove
219
ref
appTerm
4586
def
appTerm
4587
def
appTerm
appTerm
appTerm
4584
remove
219
ref
appTerm
4588
def
appTerm
4589
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
189
ref
nil
75
ref
4589
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
454
ref
291
ref
nil
292
ref
3981
remove
cons
nil
cons
nil
cons
cons
305
ref
subst
appThm
291
ref
nil
292
remove
3983
remove
cons
nil
cons
nil
cons
cons
305
remove
subst
appThm
4587
ref
refl
appThm
appThm
appThm
4588
ref
refl
appThm
sym
nil
43
ref
51
ref
295
ref
289
ref
4582
remove
appTerm
appTerm
4590
def
240
ref
appTerm
4591
def
appTerm
51
ref
295
ref
289
remove
4586
remove
appTerm
appTerm
219
ref
appTerm
4592
def
appTerm
4587
ref
appTerm
4593
def
appTerm
nil
cons
4594
def
cons
44
ref
4588
remove
nil
cons
4595
def
cons
nil
cons
cons
nil
cons
cons
4596
def
62
ref
subst
4596
remove
126
ref
subst
nil
88
ref
4591
ref
nil
cons
cons
90
ref
4593
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4597
def
104
ref
subst
4597
remove
392
ref
subst
nil
88
ref
4592
ref
nil
cons
cons
90
ref
4587
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4598
def
104
ref
subst
4598
remove
392
ref
subst
306
ref
4591
remove
assume
sym
appThm
219
ref
refl
appThm
sym
4590
remove
refl
4592
remove
assume
sym
appThm
sym
307
remove
4587
remove
assume
appThm
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
4594
remove
cons
90
ref
4595
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
51
ref
299
ref
304
ref
299
ref
1566
ref
45
ref
51
ref
3839
remove
3722
ref
appTerm
appTerm
51
ref
3838
ref
1569
ref
appTerm
3722
ref
appTerm
appTerm
4577
remove
appTerm
appTerm
appTerm
1570
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4373
remove
appTerm
nil
cons
cons
44
ref
4571
ref
4575
ref
appTerm
nil
cons
4599
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4419
remove
3764
remove
3730
ref
45
ref
51
ref
118
ref
33
ref
118
ref
152
ref
45
ref
51
ref
3737
ref
appTerm
4600
def
51
ref
3735
remove
156
ref
appTerm
3731
ref
appTerm
appTerm
4438
remove
23
ref
156
ref
appTerm
4601
def
appTerm
appTerm
appTerm
appTerm
157
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4382
ref
appTerm
appTerm
295
ref
4568
ref
0
ref
3765
ref
198
ref
cons
opType
constTerm
4602
def
3769
remove
appTerm
appTerm
4568
ref
0
ref
3724
ref
198
ref
cons
opType
constTerm
4603
def
3731
ref
appTerm
4604
def
appTerm
appTerm
absTerm
4605
def
3731
ref
appTerm
4606
def
betaConv
14
ref
3743
ref
4605
ref
appTerm
4607
def
absTerm
4608
def
23
ref
appTerm
4609
def
betaConv
nil
41
ref
4608
ref
appTerm
4610
def
axiom
nil
43
ref
4610
remove
nil
cons
cons
44
ref
4609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
4608
remove
nil
cons
cons
117
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4607
remove
nil
cons
cons
44
ref
4606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4605
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4611
def
subst
subst
eqMp
nil
43
ref
4599
remove
cons
44
ref
295
ref
4575
ref
appTerm
4612
def
265
ref
appTerm
nil
cons
cons
nil
cons
4613
def
cons
nil
cons
cons
126
ref
subst
proveHyp
1566
ref
51
ref
4612
ref
1569
ref
appTerm
appTerm
4572
ref
appTerm
absTerm
4614
def
202
ref
4574
ref
3718
ref
3719
ref
372
ref
192
ref
3721
ref
283
ref
487
ref
appTerm
4615
def
appTerm
absTerm
appTerm
absTerm
appTerm
4616
def
appTerm
4617
def
appTerm
4574
ref
3718
ref
3719
ref
372
ref
192
ref
3721
ref
283
ref
465
ref
487
ref
appTerm
4618
def
appTerm
4619
def
appTerm
absTerm
appTerm
absTerm
appTerm
4620
def
appTerm
4621
def
appTerm
4622
def
appTerm
betaConv
sym
nil
3804
ref
"Set.union"
const
4623
def
0
ref
3715
ref
0
ref
3715
ref
3717
ref
cons
opType
nil
cons
4624
def
cons
opType
4625
def
constTerm
4626
def
4616
ref
appTerm
4620
ref
appTerm
4627
def
nil
cons
cons
3828
remove
cons
nil
cons
cons
320
ref
3756
remove
subst
4628
def
subst
sym
nil
303
ref
192
ref
20
ref
3838
ref
195
ref
appTerm
4629
def
3722
ref
appTerm
appTerm
4629
ref
4627
ref
appTerm
appTerm
4630
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4630
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
92
ref
nil
3786
remove
410
ref
cons
nil
cons
cons
3794
ref
subst
appThm
nil
3804
ref
4620
ref
nil
cons
4631
def
cons
4632
def
3760
ref
4616
ref
nil
cons
cons
4633
def
410
ref
cons
cons
nil
cons
cons
4634
def
320
ref
33
ref
20
ref
3736
ref
4623
remove
0
ref
3724
ref
0
ref
3724
ref
3750
remove
cons
opType
nil
cons
4635
def
cons
opType
4636
def
constTerm
3731
ref
appTerm
3732
ref
appTerm
4637
def
appTerm
appTerm
691
ref
3737
remove
appTerm
3738
ref
appTerm
appTerm
absTerm
4638
def
36
ref
appTerm
4639
def
betaConv
3725
ref
118
ref
4638
ref
appTerm
4640
def
absTerm
4641
def
3732
ref
appTerm
4642
def
betaConv
3730
ref
3743
ref
4641
ref
appTerm
4643
def
absTerm
4644
def
3731
ref
appTerm
4645
def
betaConv
nil
3743
ref
4644
ref
appTerm
4646
def
axiom
nil
43
ref
4646
remove
nil
cons
cons
44
ref
4645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4644
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4643
remove
nil
cons
cons
44
ref
4642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4641
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4640
remove
nil
cons
cons
44
ref
4639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
4638
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4647
def
subst
873
ref
92
ref
4629
ref
refl
4648
def
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4615
ref
absTerm
4649
def
195
ref
appTerm
betaConv
4650
def
appThm
absThm
appThm
absThm
appThm
4651
def
appThm
appThm
4650
remove
appThm
nil
1068
ref
4649
ref
nil
cons
cons
4652
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
4653
def
appThm
92
ref
4648
ref
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4619
ref
absTerm
4654
def
195
ref
appTerm
betaConv
4655
def
appThm
absThm
appThm
absThm
appThm
4656
def
appThm
appThm
4655
remove
appThm
nil
1068
ref
4654
ref
nil
cons
cons
4657
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
4658
def
appThm
trans
appThm
sym
nil
43
ref
20
ref
487
ref
appTerm
4659
def
510
ref
appTerm
4660
def
nil
cons
4661
def
cons
4662
def
44
ref
455
ref
691
ref
4615
ref
appTerm
4619
ref
appTerm
appTerm
nil
cons
4663
def
cons
nil
cons
4664
def
cons
nil
cons
cons
4665
def
62
ref
subst
4665
remove
126
ref
subst
20
ref
"_32758"
16
ref
var
4666
def
455
ref
691
ref
283
ref
4666
remove
varTerm
4667
def
appTerm
appTerm
283
ref
465
ref
4667
remove
appTerm
appTerm
appTerm
appTerm
absTerm
4668
def
487
ref
appTerm
4669
def
appTerm
refl
4670
def
4668
ref
510
ref
appTerm
betaConv
appThm
92
ref
4669
remove
betaConv
appThm
4671
def
455
ref
691
ref
283
ref
510
ref
appTerm
4672
def
appTerm
283
ref
807
remove
appTerm
4673
def
appTerm
appTerm
refl
appThm
trans
4668
remove
refl
4674
def
4660
remove
assume
4675
def
appThm
eqMp
sym
455
ref
refl
4676
def
873
ref
3854
ref
75
ref
20
ref
556
remove
510
ref
appTerm
appTerm
510
ref
appTerm
absTerm
4677
def
78
remove
appTerm
4678
def
betaConv
nil
334
ref
4677
ref
appTerm
4679
def
axiom
nil
43
ref
4679
remove
nil
cons
cons
44
ref
4678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
4677
remove
nil
cons
cons
340
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4680
def
subst
4681
def
appThm
283
ref
refl
4682
def
811
ref
appThm
3854
ref
560
ref
subst
4683
def
trans
4684
def
appThm
3854
ref
735
ref
subst
trans
appThm
nil
338
ref
387
ref
cons
nil
cons
nil
cons
cons
617
ref
subst
4685
def
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
4661
ref
cons
4686
def
90
ref
4663
ref
cons
nil
cons
4687
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4659
ref
67
ref
appTerm
4688
def
nil
cons
4689
def
cons
4690
def
4664
remove
cons
nil
cons
cons
4691
def
62
ref
subst
4691
remove
126
ref
subst
4670
remove
"_32756"
16
ref
var
4692
def
455
ref
691
ref
283
ref
4692
remove
varTerm
4693
def
appTerm
appTerm
283
ref
465
ref
4693
remove
appTerm
appTerm
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
4671
remove
455
ref
691
ref
283
ref
67
ref
appTerm
4694
def
appTerm
283
ref
818
remove
appTerm
4695
def
appTerm
appTerm
refl
appThm
trans
4674
remove
4688
remove
assume
4696
def
appThm
eqMp
sym
4676
remove
873
ref
4683
ref
appThm
4682
remove
820
ref
appThm
4681
ref
trans
4697
def
appThm
3854
ref
946
ref
subst
trans
appThm
4685
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
88
ref
4689
remove
cons
4698
def
4687
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
769
remove
487
ref
appTerm
4699
def
betaConv
772
remove
nil
773
remove
44
ref
4699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
774
remove
338
ref
487
ref
nil
cons
4700
def
cons
nil
cons
4701
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4702
def
nil
4698
ref
90
ref
4661
ref
cons
4703
def
778
ref
4663
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
20
ref
"_32754"
3715
ref
var
4704
def
295
ref
4574
ref
4704
remove
varTerm
appTerm
appTerm
4622
ref
appTerm
absTerm
4705
def
3722
ref
appTerm
4706
def
appTerm
refl
4705
ref
4627
ref
appTerm
betaConv
appThm
92
ref
4706
remove
betaConv
appThm
295
ref
4574
ref
4627
ref
appTerm
appTerm
4622
ref
appTerm
4707
def
refl
appThm
trans
4705
remove
refl
15
ref
3811
ref
constTerm
4708
def
3722
ref
appTerm
4627
remove
appTerm
assume
appThm
eqMp
sym
3804
ref
3808
ref
3812
ref
4616
ref
appTerm
3807
ref
appTerm
appTerm
absTerm
4709
def
3722
ref
appTerm
betaConv
sym
291
ref
4578
remove
appThm
4710
def
nil
3804
ref
3761
ref
cons
4711
def
4633
remove
nil
cons
4712
def
cons
nil
cons
cons
3837
ref
subst
649
ref
304
ref
454
ref
92
ref
3840
ref
4651
remove
appThm
appThm
4649
remove
1154
ref
appTerm
betaConv
appThm
nil
4652
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
3795
ref
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
ref
4579
ref
295
ref
413
ref
1154
ref
appTerm
appTerm
209
ref
appTerm
4713
def
appTerm
appTerm
3800
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
192
ref
45
ref
4615
ref
appTerm
282
ref
appTerm
4714
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4714
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4615
ref
nil
cons
4715
def
cons
44
ref
387
ref
cons
nil
cons
4716
def
cons
nil
cons
cons
4717
def
62
ref
subst
4717
remove
126
ref
subst
nil
388
ref
90
ref
4700
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
eqMp
nil
88
ref
4715
remove
cons
90
ref
387
remove
cons
nil
cons
4718
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
4368
ref
4369
ref
4709
ref
nil
cons
cons
4370
ref
3761
remove
cons
nil
cons
4719
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
4372
ref
4709
remove
appTerm
nil
cons
cons
44
ref
3806
ref
4616
ref
appTerm
4720
def
nil
cons
4721
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4712
ref
nil
cons
cons
4417
ref
subst
eqMp
nil
43
ref
4721
remove
cons
44
ref
51
ref
3806
ref
4620
ref
appTerm
4722
def
appTerm
"Set.disjoint"
const
4723
def
3811
remove
constTerm
4724
def
4616
ref
appTerm
4620
ref
appTerm
4725
def
appTerm
4726
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
3804
ref
3808
ref
3812
ref
4620
ref
appTerm
3807
ref
appTerm
appTerm
absTerm
4727
def
3722
remove
appTerm
betaConv
sym
4710
remove
nil
4711
remove
3760
ref
4631
remove
cons
nil
cons
4728
def
cons
nil
cons
cons
3837
ref
subst
649
ref
304
ref
454
ref
92
ref
3840
ref
4656
remove
appThm
appThm
4654
remove
1154
ref
appTerm
betaConv
appThm
nil
4657
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
4729
def
appThm
3795
remove
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
ref
4579
remove
465
ref
4713
remove
appTerm
appTerm
appTerm
3800
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
192
ref
45
ref
4619
ref
appTerm
282
remove
appTerm
4730
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4730
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4619
ref
nil
cons
4731
def
cons
4716
remove
cons
nil
cons
cons
4732
def
62
ref
subst
4732
remove
126
ref
subst
nil
388
remove
90
ref
4618
ref
nil
cons
4733
def
cons
4734
def
nil
cons
cons
nil
cons
cons
104
ref
subst
eqMp
nil
88
ref
4731
remove
cons
4718
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
4368
ref
4369
ref
4727
ref
nil
cons
cons
4719
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
4372
ref
4727
remove
appTerm
nil
cons
cons
44
ref
4722
remove
nil
cons
4735
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4728
ref
nil
cons
cons
4417
ref
subst
eqMp
nil
43
ref
4735
remove
cons
44
ref
4725
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
4632
remove
4712
ref
cons
nil
cons
cons
4736
def
320
ref
3725
ref
20
ref
4723
remove
3728
remove
constTerm
3731
ref
appTerm
3732
ref
appTerm
4737
def
appTerm
3729
remove
"Set.intersect"
const
4738
def
4636
ref
constTerm
3731
ref
appTerm
3732
ref
appTerm
4739
def
appTerm
"Set.{}"
const
4740
def
3724
ref
constTerm
4741
def
appTerm
appTerm
absTerm
4742
def
3732
ref
appTerm
4743
def
betaConv
3730
ref
3743
ref
4742
ref
appTerm
4744
def
absTerm
4745
def
3731
ref
appTerm
4746
def
betaConv
nil
3743
ref
4745
ref
appTerm
4747
def
axiom
nil
43
ref
4747
remove
nil
cons
cons
44
ref
4746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4745
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4744
remove
nil
cons
cons
44
ref
4743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4742
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4748
def
subst
nil
3804
ref
4740
remove
3715
ref
constTerm
4749
def
nil
cons
cons
4750
def
3760
ref
4738
remove
4625
ref
constTerm
4751
def
4616
ref
appTerm
4620
ref
appTerm
4752
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
4628
ref
subst
trans
sym
nil
303
ref
192
ref
20
ref
4629
ref
4752
remove
appTerm
appTerm
4629
ref
4749
ref
appTerm
appTerm
4753
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4753
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
92
ref
4634
remove
320
ref
33
ref
20
ref
3736
ref
4739
remove
appTerm
appTerm
4600
ref
3738
ref
appTerm
appTerm
absTerm
4754
def
36
ref
appTerm
4755
def
betaConv
3725
ref
118
ref
4754
ref
appTerm
4756
def
absTerm
4757
def
3732
ref
appTerm
4758
def
betaConv
3730
ref
3743
ref
4757
ref
appTerm
4759
def
absTerm
4760
def
3731
ref
appTerm
4761
def
betaConv
nil
3743
ref
4760
ref
appTerm
4762
def
axiom
nil
43
ref
4762
remove
nil
cons
cons
44
ref
4761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4760
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4759
remove
nil
cons
cons
44
ref
4758
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4757
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4756
remove
nil
cons
cons
44
ref
4755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
4754
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4763
def
subst
291
ref
4653
ref
appThm
4658
remove
appThm
trans
appThm
2558
remove
320
ref
33
ref
465
ref
3736
ref
4741
ref
appTerm
4764
def
appTerm
4765
def
absTerm
4766
def
36
ref
appTerm
4767
def
betaConv
nil
118
ref
4766
ref
appTerm
4768
def
axiom
nil
43
ref
4768
remove
nil
cons
cons
44
ref
4767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
4766
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4765
remove
nil
cons
cons
44
ref
20
ref
4764
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
88
ref
4764
remove
nil
cons
cons
nil
cons
nil
cons
cons
548
ref
subst
eqMp
subst
4769
def
subst
appThm
nil
75
ref
51
ref
4615
remove
appTerm
4619
ref
appTerm
4770
def
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
trans
sym
nil
4662
remove
44
ref
465
ref
4770
remove
appTerm
nil
cons
4771
def
cons
nil
cons
4772
def
cons
nil
cons
cons
4773
def
62
ref
subst
4773
remove
126
ref
subst
20
ref
"_32762"
16
ref
var
4774
def
465
ref
51
ref
283
ref
4774
remove
varTerm
4775
def
appTerm
appTerm
283
ref
465
ref
4775
remove
appTerm
appTerm
appTerm
appTerm
absTerm
4776
def
487
ref
appTerm
4777
def
appTerm
refl
4778
def
4776
ref
510
ref
appTerm
betaConv
appThm
92
ref
4777
remove
betaConv
appThm
4779
def
465
ref
51
ref
4672
remove
appTerm
4673
remove
appTerm
appTerm
refl
appThm
trans
4776
remove
refl
4780
def
4675
remove
appThm
eqMp
sym
810
ref
291
ref
4681
ref
appThm
4684
remove
appThm
3854
remove
826
ref
subst
trans
appThm
811
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
4686
remove
90
ref
4771
ref
cons
nil
cons
4781
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4690
remove
4772
remove
cons
nil
cons
cons
4782
def
62
ref
subst
4782
remove
126
ref
subst
4778
remove
"_32760"
16
ref
var
4783
def
465
ref
51
ref
283
ref
4783
remove
varTerm
4784
def
appTerm
appTerm
283
remove
465
ref
4784
remove
appTerm
appTerm
appTerm
appTerm
absTerm
67
ref
appTerm
betaConv
appThm
4779
remove
465
ref
51
ref
4694
remove
appTerm
4695
remove
appTerm
appTerm
refl
appThm
trans
4780
remove
4696
remove
appThm
eqMp
sym
810
ref
291
ref
4683
remove
appThm
4697
remove
appThm
4681
remove
trans
appThm
811
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
nil
4698
ref
4781
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
4702
remove
nil
4698
remove
4703
remove
778
ref
4771
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
43
ref
51
ref
4720
remove
appTerm
4726
remove
appTerm
nil
cons
cons
44
ref
4707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4736
remove
320
ref
3725
ref
45
ref
51
ref
4382
remove
appTerm
4785
def
4377
remove
4737
remove
appTerm
appTerm
appTerm
295
ref
4603
ref
4637
ref
appTerm
appTerm
202
ref
4604
ref
appTerm
4603
ref
3732
ref
appTerm
4786
def
appTerm
appTerm
appTerm
absTerm
4787
def
3732
ref
appTerm
4788
def
betaConv
3730
ref
3743
ref
4787
ref
appTerm
4789
def
absTerm
4790
def
3731
ref
appTerm
4791
def
betaConv
nil
3743
ref
4790
ref
appTerm
4792
def
axiom
nil
43
ref
4792
remove
nil
cons
cons
44
ref
4791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4790
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4789
remove
nil
cons
cons
44
ref
4788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4787
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4793
def
subst
eqMp
eqMp
proveHyp
nil
43
ref
4612
remove
4622
ref
appTerm
nil
cons
cons
44
ref
295
ref
4622
ref
appTerm
4794
def
265
ref
appTerm
nil
cons
cons
nil
cons
4795
def
cons
nil
cons
cons
126
ref
subst
proveHyp
1566
ref
51
ref
4794
ref
1569
ref
appTerm
appTerm
4572
remove
appTerm
absTerm
4796
def
202
ref
2172
ref
appTerm
4797
def
4621
ref
appTerm
4798
def
appTerm
betaConv
sym
nil
192
ref
2173
ref
cons
957
ref
4621
ref
nil
cons
cons
581
ref
4617
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2482
remove
subst
sym
nil
3804
ref
4626
ref
3718
ref
3719
ref
372
ref
192
ref
3721
ref
1861
ref
253
ref
appTerm
4799
def
appTerm
absTerm
appTerm
absTerm
appTerm
4800
def
appTerm
4626
remove
"Set.difference"
const
4801
def
4625
remove
constTerm
4802
def
3718
ref
3719
ref
372
ref
192
ref
3721
ref
1861
ref
244
ref
appTerm
4803
def
appTerm
absTerm
appTerm
absTerm
appTerm
4804
def
appTerm
4805
def
3718
ref
3719
ref
372
ref
192
ref
3721
ref
1861
ref
472
ref
appTerm
4806
def
appTerm
absTerm
appTerm
absTerm
appTerm
4807
def
appTerm
4808
def
appTerm
4802
ref
3718
ref
3719
ref
372
ref
192
ref
3721
ref
1861
ref
231
ref
appTerm
4809
def
appTerm
absTerm
appTerm
absTerm
appTerm
4810
def
appTerm
4811
def
3718
ref
3719
ref
372
ref
192
ref
3721
remove
1861
ref
476
ref
appTerm
4812
def
appTerm
absTerm
appTerm
absTerm
appTerm
4813
def
appTerm
4814
def
appTerm
4815
def
appTerm
4816
def
nil
cons
cons
4712
remove
cons
nil
cons
cons
4628
ref
subst
sym
nil
303
ref
192
ref
20
ref
4629
ref
4616
ref
appTerm
appTerm
4629
remove
4816
ref
appTerm
appTerm
4817
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
4817
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
92
ref
4653
remove
291
ref
490
ref
appThm
4818
def
487
ref
refl
appThm
trans
appThm
nil
3804
ref
4815
ref
nil
cons
cons
4819
def
3760
ref
4800
ref
nil
cons
cons
4820
def
410
ref
cons
cons
nil
cons
cons
4647
ref
subst
873
ref
92
ref
4648
ref
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4799
ref
absTerm
4821
def
195
ref
appTerm
betaConv
4822
def
appThm
absThm
appThm
absThm
appThm
4823
def
appThm
appThm
4822
remove
appThm
nil
1068
ref
4821
ref
nil
cons
cons
4824
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
nil
3804
ref
4814
ref
nil
cons
cons
4825
def
3760
ref
4808
ref
nil
cons
cons
4826
def
410
ref
cons
cons
nil
cons
cons
4647
ref
subst
873
ref
nil
3804
ref
4807
ref
nil
cons
4827
def
cons
4828
def
3760
ref
4804
ref
nil
cons
4829
def
cons
4830
def
410
ref
cons
cons
nil
cons
cons
320
ref
33
ref
20
ref
3736
ref
4801
remove
4636
remove
constTerm
3731
ref
appTerm
3732
ref
appTerm
4831
def
appTerm
appTerm
4600
ref
465
ref
3738
remove
appTerm
appTerm
appTerm
absTerm
4832
def
36
ref
appTerm
4833
def
betaConv
3725
ref
118
ref
4832
ref
appTerm
4834
def
absTerm
4835
def
3732
ref
appTerm
4836
def
betaConv
3730
ref
3743
ref
4835
ref
appTerm
4837
def
absTerm
4838
def
3731
ref
appTerm
4839
def
betaConv
nil
3743
ref
4838
ref
appTerm
4840
def
axiom
nil
43
ref
4840
remove
nil
cons
cons
44
ref
4839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4838
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4837
remove
nil
cons
cons
44
ref
4836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
4835
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4834
remove
nil
cons
cons
44
ref
4833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
4832
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
4841
def
subst
291
ref
92
ref
4648
ref
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4803
ref
absTerm
4842
def
195
ref
appTerm
betaConv
4843
def
appThm
absThm
appThm
absThm
appThm
4844
def
appThm
appThm
4843
remove
appThm
nil
1068
ref
4842
ref
nil
cons
cons
4845
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
810
ref
92
ref
4648
ref
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4806
ref
absTerm
4846
def
195
ref
appTerm
betaConv
4847
def
appThm
absThm
appThm
absThm
appThm
4848
def
appThm
appThm
4847
remove
appThm
nil
1068
ref
4846
ref
nil
cons
cons
4849
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
appThm
trans
appThm
nil
3804
ref
4813
ref
nil
cons
4850
def
cons
4851
def
3760
ref
4810
ref
nil
cons
4852
def
cons
4853
def
410
ref
cons
cons
nil
cons
cons
4841
ref
subst
291
ref
92
ref
4648
ref
3841
ref
3719
ref
1430
ref
192
ref
3842
ref
192
ref
4809
ref
absTerm
4854
def
195
ref
appTerm
betaConv
4855
def
appThm
absThm
appThm
absThm
appThm
4856
def
appThm
appThm
4855
remove
appThm
nil
1068
ref
4854
ref
nil
cons
cons
4857
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
810
ref
92
ref
4648
remove
3841
ref
3719
ref
1430
ref
192
ref
3842
remove
192
ref
4812
ref
absTerm
4858
def
195
ref
appTerm
betaConv
4859
def
appThm
absThm
appThm
absThm
appThm
4860
def
appThm
appThm
4859
remove
appThm
nil
1068
ref
4858
ref
nil
cons
cons
4861
def
410
ref
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
appThm
trans
appThm
trans
appThm
trans
appThm
sym
nil
43
ref
4733
ref
cons
4862
def
44
ref
20
ref
51
ref
3945
ref
appTerm
4863
def
487
ref
appTerm
appTerm
691
ref
4799
ref
appTerm
4864
def
691
ref
51
ref
4803
ref
appTerm
4865
def
465
ref
4806
ref
appTerm
4866
def
appTerm
4867
def
appTerm
51
ref
4809
ref
appTerm
4868
def
465
ref
4812
ref
appTerm
4869
def
appTerm
4870
def
appTerm
4871
def
appTerm
4872
def
appTerm
nil
cons
4873
def
cons
nil
cons
4874
def
cons
nil
cons
cons
4875
def
62
ref
subst
4875
remove
126
ref
subst
92
ref
291
ref
486
ref
refl
4876
def
3941
ref
refl
4877
def
454
ref
nil
4862
ref
44
ref
4661
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
4700
ref
cons
4878
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
4879
def
appThm
3942
ref
refl
4880
def
appThm
nil
75
ref
3942
ref
nil
cons
4881
def
cons
nil
cons
nil
cons
cons
4882
def
553
remove
subst
trans
4883
def
appThm
nil
75
ref
3939
ref
cons
nil
cons
nil
cons
cons
4884
def
560
ref
subst
trans
appThm
appThm
4885
def
4879
ref
appThm
nil
75
ref
486
ref
3938
ref
appTerm
4886
def
nil
cons
4887
def
cons
nil
cons
nil
cons
cons
4888
def
4680
ref
subst
trans
appThm
4872
ref
refl
4889
def
appThm
nil
75
ref
4872
ref
nil
cons
4890
def
cons
nil
cons
nil
cons
cons
831
ref
subst
trans
sym
nil
4862
ref
44
ref
465
ref
4872
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
848
ref
4890
ref
cons
849
ref
4700
ref
cons
nil
cons
cons
nil
cons
cons
848
ref
20
ref
45
ref
3037
ref
appTerm
3038
ref
appTerm
4891
def
appTerm
45
ref
853
ref
appTerm
851
ref
appTerm
4892
def
appTerm
4893
def
absTerm
4894
def
853
ref
appTerm
4895
def
betaConv
849
ref
334
ref
4894
ref
appTerm
4896
def
absTerm
4897
def
851
ref
appTerm
4898
def
betaConv
nil
334
ref
4897
ref
appTerm
4899
def
axiom
4900
def
nil
43
ref
4899
remove
nil
cons
cons
44
ref
4898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
4897
remove
nil
cons
cons
870
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4896
remove
nil
cons
cons
44
ref
4895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
4894
remove
nil
cons
cons
871
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4901
def
subst
45
ref
4872
ref
appTerm
refl
306
ref
424
ref
appThm
1205
ref
appThm
4902
def
nil
3881
ref
nil
cons
nil
cons
cons
4903
def
426
ref
20
ref
295
ref
429
remove
appTerm
209
ref
appTerm
appTerm
4503
remove
appTerm
absTerm
4904
def
427
ref
appTerm
4905
def
betaConv
192
ref
299
ref
4904
ref
appTerm
4906
def
absTerm
4907
def
195
ref
appTerm
4908
def
betaConv
nil
299
ref
4907
ref
appTerm
4909
def
axiom
nil
43
ref
4909
remove
nil
cons
cons
44
ref
4908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4907
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
4906
remove
nil
cons
cons
44
ref
4905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4904
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4910
def
subst
4903
ref
4510
remove
subst
1861
ref
refl
4346
ref
appThm
trans
trans
trans
4911
def
appThm
trans
sym
nil
43
ref
4890
ref
cons
44
ref
1861
remove
4009
ref
appTerm
4912
def
nil
cons
4913
def
cons
nil
cons
4914
def
cons
nil
cons
cons
4915
def
62
ref
subst
4915
remove
126
ref
subst
nil
43
ref
4871
ref
nil
cons
4916
def
cons
4914
ref
cons
nil
cons
cons
4917
def
62
ref
subst
4917
remove
126
ref
subst
nil
43
ref
4870
ref
nil
cons
4918
def
cons
4914
ref
cons
nil
cons
cons
4919
def
62
ref
subst
4919
remove
126
ref
subst
nil
88
ref
4809
ref
nil
cons
4920
def
cons
90
ref
4869
ref
nil
cons
4921
def
cons
4922
def
nil
cons
cons
nil
cons
cons
104
ref
subst
4511
ref
4513
ref
4514
ref
4009
ref
appTerm
appTerm
absTerm
4923
def
231
ref
appTerm
betaConv
sym
291
ref
nil
75
ref
4920
ref
cons
nil
cons
nil
cons
cons
4924
def
82
ref
subst
4809
ref
assume
eqMp
appThm
4925
def
569
ref
4009
ref
appTerm
4926
def
refl
appThm
nil
75
ref
4926
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
1082
ref
3342
ref
4352
ref
cons
cons
nil
cons
cons
2422
ref
306
ref
nil
2424
ref
2562
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
2890
remove
2311
ref
subst
1708
ref
1008
ref
2891
remove
appThm
2430
remove
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2434
ref
trans
appThm
2435
ref
trans
sym
81
ref
eqMp
subst
nil
1082
ref
3344
ref
4306
ref
cons
cons
nil
cons
cons
2436
ref
subst
nil
1082
ref
2888
remove
3361
ref
cons
cons
nil
cons
cons
4927
def
2436
remove
subst
1008
ref
3368
ref
1213
ref
subst
appThm
3369
ref
trans
4928
def
eqMp
eqMp
eqMp
4929
def
nil
1736
ref
595
ref
4012
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
4929
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
4923
ref
nil
cons
cons
4930
def
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
4923
ref
appTerm
nil
cons
cons
4914
ref
cons
nil
cons
cons
113
ref
subst
4931
def
proveHyp
nil
4011
ref
1045
ref
cons
nil
cons
cons
2724
ref
subst
4932
def
eqMp
proveHyp
eqMp
nil
88
ref
4918
ref
cons
90
ref
4913
ref
cons
nil
cons
4933
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4867
remove
nil
cons
4934
def
cons
4914
ref
cons
nil
cons
cons
4935
def
62
ref
subst
4935
remove
126
ref
subst
nil
88
ref
4803
ref
nil
cons
4936
def
cons
4937
def
90
ref
4866
ref
nil
cons
4938
def
cons
4939
def
nil
cons
cons
nil
cons
cons
104
ref
subst
4923
ref
244
ref
appTerm
betaConv
sym
291
ref
nil
75
ref
4936
ref
cons
nil
cons
nil
cons
cons
4940
def
82
ref
subst
4803
ref
assume
eqMp
4941
def
appThm
4942
def
474
ref
4009
ref
appTerm
4943
def
refl
appThm
nil
75
ref
4943
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
208
ref
457
ref
appTerm
4944
def
nil
cons
cons
3531
ref
4352
ref
cons
cons
nil
cons
cons
2089
ref
subst
nil
1736
ref
2879
ref
4306
ref
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2889
remove
4563
remove
cons
nil
cons
cons
4945
def
2311
ref
subst
1708
ref
1008
ref
2882
remove
2124
ref
subst
2885
remove
trans
4946
def
appThm
2532
remove
trans
appThm
trans
appThm
1720
ref
appThm
2538
ref
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
4927
ref
2422
ref
306
ref
1008
ref
2892
ref
appThm
2431
remove
trans
appThm
1720
ref
appThm
2434
ref
trans
appThm
2435
ref
trans
sym
81
ref
eqMp
subst
4928
ref
eqMp
eqMp
eqMp
4947
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
4944
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2853
ref
4012
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
4947
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
4930
ref
3542
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
4931
ref
proveHyp
4932
ref
eqMp
proveHyp
eqMp
nil
88
ref
4934
remove
cons
4948
def
4933
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4948
remove
90
ref
4918
ref
cons
778
ref
4913
ref
cons
nil
cons
4949
def
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
eqMp
nil
88
ref
4916
ref
cons
4933
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4799
ref
nil
cons
4950
def
cons
4951
def
4914
remove
cons
nil
cons
cons
4952
def
62
ref
subst
4952
remove
126
ref
subst
4923
remove
253
ref
appTerm
betaConv
sym
291
ref
nil
75
ref
4950
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
4799
ref
assume
eqMp
4953
def
appThm
4954
def
467
ref
4009
ref
appTerm
4955
def
refl
appThm
nil
75
ref
4955
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
207
ref
207
ref
207
ref
207
ref
207
ref
207
ref
4496
remove
appTerm
appTerm
4956
def
appTerm
appTerm
appTerm
appTerm
4957
def
nil
cons
cons
3629
ref
4352
ref
cons
cons
nil
cons
cons
2089
ref
subst
nil
581
ref
4956
remove
nil
cons
cons
3631
ref
4306
ref
cons
cons
nil
cons
cons
2089
ref
subst
nil
1736
ref
3633
ref
3361
remove
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
3635
ref
2799
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
3636
ref
2307
ref
cons
nil
cons
cons
1707
ref
subst
1708
ref
2038
ref
1707
ref
subst
1708
ref
2311
ref
appThm
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2538
remove
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
1008
ref
3668
ref
appThm
3369
remove
trans
eqMp
eqMp
eqMp
4958
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
4957
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2748
ref
4012
remove
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
4958
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
4930
remove
3646
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
4931
remove
proveHyp
4932
remove
eqMp
eqMp
nil
88
ref
4950
ref
cons
4959
def
4933
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4959
ref
90
ref
4916
ref
cons
4949
remove
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
eqMp
nil
88
ref
4890
remove
cons
4933
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
4733
remove
cons
4960
def
90
ref
4873
ref
cons
nil
cons
4961
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4700
ref
cons
4962
def
4874
remove
cons
nil
cons
cons
4963
def
62
ref
subst
4963
remove
126
ref
subst
92
ref
291
ref
291
ref
2255
ref
487
ref
assume
4964
def
appThm
4965
def
3173
ref
appThm
appThm
4877
remove
454
ref
306
ref
4964
ref
appThm
1205
ref
appThm
1027
remove
trans
4966
def
appThm
4880
ref
appThm
4882
ref
914
remove
subst
trans
4967
def
appThm
appThm
appThm
4968
def
4966
ref
appThm
nil
75
ref
3192
ref
3941
ref
3942
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
4969
def
560
ref
subst
trans
appThm
4889
ref
appThm
sym
444
remove
nil
43
ref
295
ref
202
ref
403
ref
appTerm
205
ref
418
ref
appTerm
214
ref
appTerm
appTerm
appTerm
195
ref
appTerm
nil
cons
cons
44
ref
400
remove
195
ref
appTerm
4970
def
nil
cons
4971
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
454
ref
306
ref
397
ref
192
ref
295
ref
403
remove
appTerm
399
ref
appTerm
4972
def
absTerm
4973
def
195
ref
appTerm
4974
def
betaConv
649
ref
192
ref
4972
remove
assume
sym
404
remove
assume
sym
deductAntisym
absThm
appThm
408
remove
eqMp
nil
43
ref
299
ref
4973
ref
appTerm
nil
cons
cons
44
ref
4974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4973
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
appThm
412
remove
192
ref
295
ref
418
remove
appTerm
4975
def
414
ref
appTerm
4976
def
absTerm
4977
def
195
ref
appTerm
4978
def
betaConv
649
ref
192
ref
4976
remove
assume
sym
419
remove
assume
sym
deductAntisym
absThm
appThm
423
remove
eqMp
nil
43
ref
299
ref
4977
ref
appTerm
nil
cons
cons
44
ref
4978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4977
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
4964
remove
trans
appThm
425
ref
appThm
4903
remove
426
ref
295
ref
3193
remove
427
ref
appTerm
appTerm
209
ref
appTerm
absTerm
4979
def
427
ref
appTerm
4980
def
betaConv
nil
299
ref
4979
ref
appTerm
4981
def
axiom
nil
43
ref
4981
remove
nil
cons
cons
44
ref
4980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4979
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
581
ref
3703
remove
cons
nil
cons
nil
cons
cons
1232
remove
subst
trans
appThm
661
remove
appThm
appThm
4970
ref
refl
appThm
nil
75
ref
4971
remove
cons
nil
cons
nil
cons
cons
951
ref
subst
trans
sym
81
ref
eqMp
eqMp
20
ref
"_32766"
186
ref
var
4982
def
20
ref
3192
ref
51
ref
239
ref
4982
remove
varTerm
4983
def
appTerm
4984
def
231
ref
appTerm
appTerm
51
ref
465
ref
51
ref
467
ref
4983
ref
appTerm
appTerm
4984
ref
472
ref
appTerm
appTerm
appTerm
appTerm
465
ref
51
ref
474
ref
4983
remove
appTerm
appTerm
4984
remove
476
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
4872
ref
appTerm
absTerm
4985
def
399
ref
appTerm
4986
def
appTerm
refl
4985
ref
195
ref
appTerm
betaConv
appThm
92
ref
4986
remove
betaConv
appThm
20
ref
3192
remove
4868
ref
51
ref
465
ref
51
ref
467
ref
195
ref
appTerm
4987
def
appTerm
4806
ref
appTerm
appTerm
appTerm
465
ref
51
ref
474
ref
195
ref
appTerm
4988
def
appTerm
4812
ref
appTerm
appTerm
appTerm
appTerm
4989
def
appTerm
appTerm
4872
ref
appTerm
refl
appThm
trans
4985
remove
refl
4970
remove
assume
appThm
eqMp
sym
92
ref
291
ref
1094
ref
refl
2656
remove
sym
4990
def
appThm
4358
remove
nil
75
ref
1094
remove
1030
ref
appTerm
4991
def
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
192
ref
4991
remove
absTerm
4992
def
195
ref
appTerm
4993
def
betaConv
nil
299
ref
4992
ref
appTerm
4994
def
axiom
nil
43
ref
4994
remove
nil
cons
cons
44
ref
4993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
4992
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
subst
4995
def
trans
4996
def
appThm
4989
ref
refl
appThm
nil
75
ref
4989
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
appThm
4889
ref
appThm
sym
92
ref
4868
ref
refl
4997
def
291
ref
nil
848
ref
4806
ref
nil
cons
4998
def
cons
849
ref
4987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
873
ref
nil
3566
remove
nil
cons
cons
3052
ref
subst
appThm
4866
ref
refl
4999
def
appThm
trans
appThm
nil
848
ref
4812
ref
nil
cons
5000
def
cons
849
ref
4988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
873
ref
nil
581
ref
2852
remove
cons
nil
cons
nil
cons
cons
3052
remove
subst
appThm
4869
ref
refl
5001
def
appThm
trans
appThm
appThm
appThm
4889
remove
appThm
sym
nil
43
ref
465
ref
4799
ref
appTerm
5002
def
nil
cons
5003
def
cons
5004
def
44
ref
20
ref
4868
ref
51
ref
4864
remove
4866
ref
appTerm
appTerm
691
ref
4803
ref
appTerm
5005
def
4869
remove
appTerm
5006
def
appTerm
appTerm
appTerm
4872
remove
appTerm
nil
cons
5007
def
cons
nil
cons
5008
def
cons
nil
cons
cons
5009
def
62
ref
subst
5009
remove
126
ref
subst
92
ref
4997
ref
291
ref
873
ref
nil
5004
ref
44
ref
20
ref
4799
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
4959
ref
nil
cons
nil
cons
cons
548
ref
subst
eqMp
5010
def
appThm
5011
def
4999
ref
appThm
nil
75
ref
4938
ref
cons
nil
cons
nil
cons
cons
5012
def
735
ref
subst
trans
appThm
5006
ref
refl
5013
def
appThm
appThm
appThm
5011
remove
4871
ref
refl
5014
def
appThm
nil
75
ref
4916
remove
cons
nil
cons
nil
cons
cons
5015
def
735
ref
subst
trans
appThm
sym
nil
43
ref
4938
ref
cons
5016
def
44
ref
20
ref
4868
ref
51
ref
4866
remove
appTerm
5006
ref
appTerm
appTerm
appTerm
4871
remove
appTerm
nil
cons
5017
def
cons
nil
cons
5018
def
cons
nil
cons
cons
5019
def
62
ref
subst
5019
remove
126
ref
subst
92
ref
4997
ref
291
ref
810
ref
nil
5016
remove
44
ref
20
ref
4806
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
4998
ref
cons
5020
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
811
ref
trans
5021
def
appThm
5013
ref
appThm
nil
75
ref
5006
ref
nil
cons
cons
nil
cons
nil
cons
cons
5022
def
341
ref
subst
5023
def
trans
appThm
appThm
873
ref
4865
remove
refl
5024
def
5021
remove
appThm
4940
ref
560
ref
subst
trans
appThm
4870
ref
refl
5025
def
appThm
appThm
sym
nil
43
ref
465
ref
4803
ref
appTerm
5026
def
nil
cons
5027
def
cons
5028
def
44
ref
20
ref
4868
remove
5006
remove
appTerm
5029
def
appTerm
5005
remove
4870
remove
appTerm
appTerm
nil
cons
5030
def
cons
nil
cons
5031
def
cons
nil
cons
cons
5032
def
62
ref
subst
5032
remove
126
ref
subst
92
ref
4997
ref
873
ref
nil
5028
remove
44
ref
20
ref
4803
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
4937
ref
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
5033
def
5001
ref
appThm
nil
75
ref
4921
ref
cons
nil
cons
nil
cons
cons
5034
def
735
ref
subst
trans
appThm
appThm
5033
remove
5025
ref
appThm
nil
75
ref
4918
ref
cons
nil
cons
nil
cons
cons
5035
def
735
ref
subst
5036
def
trans
appThm
nil
338
ref
4918
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
eqMp
nil
88
ref
5027
ref
cons
5037
def
90
ref
5030
ref
cons
nil
cons
5038
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4936
ref
cons
5039
def
5031
remove
cons
nil
cons
cons
5040
def
62
ref
subst
5040
remove
126
ref
subst
92
ref
4997
ref
873
ref
4941
remove
appThm
5041
def
5001
remove
appThm
5034
remove
754
ref
subst
trans
5042
def
appThm
4924
ref
560
ref
subst
trans
appThm
5041
remove
5025
ref
appThm
5035
ref
754
ref
subst
trans
appThm
4924
ref
1766
ref
subst
trans
sym
4511
ref
4513
ref
4514
ref
231
ref
appTerm
appTerm
absTerm
5043
def
244
ref
appTerm
betaConv
sym
4942
ref
474
ref
231
ref
appTerm
5044
def
refl
appThm
nil
75
ref
5044
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
2517
remove
cons
3531
ref
2110
ref
cons
cons
nil
cons
cons
2147
ref
subst
2880
remove
1189
ref
306
ref
4945
remove
2098
ref
subst
2099
ref
4946
remove
appThm
trans
appThm
2156
ref
appThm
2157
ref
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
2893
remove
eqMp
eqMp
5045
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
2485
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2853
ref
2175
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5045
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
5043
ref
nil
cons
cons
5046
def
3542
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5043
ref
appTerm
nil
cons
cons
44
ref
4920
ref
cons
nil
cons
5047
def
cons
nil
cons
cons
113
ref
subst
5048
def
proveHyp
nil
2174
ref
1045
ref
cons
nil
cons
cons
2724
ref
subst
5049
def
eqMp
eqMp
eqMp
nil
4937
ref
5038
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
4803
ref
appTerm
5050
def
betaConv
1622
ref
nil
1623
ref
44
ref
5050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
4936
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
4937
ref
90
ref
5027
ref
cons
778
ref
5030
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
88
ref
4938
remove
cons
90
ref
5017
ref
cons
nil
cons
5051
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
4998
ref
cons
5052
def
5018
remove
cons
nil
cons
cons
5053
def
62
ref
subst
5053
remove
126
ref
subst
92
ref
4997
ref
291
ref
810
ref
nil
75
ref
4998
ref
cons
nil
cons
nil
cons
cons
82
ref
subst
4806
ref
assume
eqMp
5054
def
appThm
820
ref
trans
5055
def
appThm
5013
ref
appThm
5022
remove
826
ref
subst
trans
appThm
4924
remove
4680
ref
subst
trans
appThm
873
ref
5024
remove
5055
remove
appThm
4940
remove
4680
ref
subst
trans
appThm
5025
remove
appThm
5036
remove
trans
appThm
5035
remove
831
ref
subst
trans
sym
4511
ref
4513
ref
4514
ref
476
ref
appTerm
appTerm
absTerm
5056
def
472
ref
appTerm
betaConv
sym
291
ref
5054
ref
appThm
5057
def
466
ref
472
ref
appTerm
5058
def
476
ref
appTerm
5059
def
refl
appThm
nil
75
ref
5059
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
208
ref
208
ref
3401
remove
appTerm
appTerm
5060
def
nil
cons
cons
192
ref
3234
remove
cons
5061
def
2875
ref
cons
cons
nil
cons
cons
2089
ref
subst
3406
ref
2817
ref
subst
3408
ref
eqMp
eqMp
5062
def
nil
581
ref
207
ref
207
ref
207
ref
207
ref
5060
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
192
ref
472
ref
nil
cons
5063
def
cons
5064
def
3413
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5062
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
5056
ref
nil
cons
cons
5065
def
304
ref
5063
ref
cons
nil
cons
5066
def
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5056
ref
appTerm
nil
cons
cons
44
ref
5000
ref
cons
nil
cons
5067
def
cons
nil
cons
cons
113
ref
subst
5068
def
proveHyp
nil
3412
remove
1045
ref
cons
nil
cons
cons
2724
ref
subst
5069
def
eqMp
nil
848
ref
4921
ref
cons
849
ref
4920
ref
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
691
ref
465
ref
4809
ref
appTerm
5070
def
appTerm
5071
def
refl
5072
def
nil
75
ref
5000
ref
cons
nil
cons
nil
cons
cons
5073
def
615
ref
subst
5073
remove
82
ref
subst
4812
ref
assume
eqMp
5074
def
trans
appThm
nil
75
ref
5070
remove
nil
cons
5075
def
cons
nil
cons
nil
cons
cons
5076
def
938
ref
subst
5077
def
trans
trans
sym
81
ref
eqMp
proveHyp
eqMp
eqMp
nil
5020
ref
5051
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
4806
ref
appTerm
5078
def
betaConv
1622
ref
nil
1623
ref
44
ref
5078
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
4998
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
5020
ref
4939
remove
778
ref
5017
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
88
ref
5003
ref
cons
5079
def
90
ref
5007
ref
cons
nil
cons
5080
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4951
ref
5008
remove
cons
nil
cons
cons
5081
def
62
ref
subst
5081
remove
126
ref
subst
92
ref
4997
remove
291
ref
873
ref
4953
ref
appThm
5082
def
4999
remove
appThm
5012
remove
754
ref
subst
trans
appThm
5013
remove
appThm
5023
remove
trans
appThm
appThm
5082
remove
5014
remove
appThm
5015
remove
754
ref
subst
trans
appThm
nil
75
ref
5029
remove
nil
cons
cons
nil
cons
nil
cons
cons
1766
remove
subst
trans
sym
4511
ref
4513
ref
4514
ref
244
ref
appTerm
appTerm
absTerm
5083
def
253
ref
appTerm
betaConv
sym
4954
ref
3657
remove
appThm
3658
remove
trans
sym
3673
remove
eqMp
eqMp
302
ref
303
ref
5083
ref
nil
cons
cons
5084
def
3646
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5083
ref
appTerm
nil
cons
cons
44
ref
4936
ref
cons
nil
cons
5085
def
cons
nil
cons
cons
113
ref
subst
5086
def
proveHyp
nil
3671
ref
1045
ref
cons
nil
cons
cons
2724
ref
subst
5087
def
eqMp
5043
ref
253
ref
appTerm
betaConv
sym
4954
ref
467
ref
231
ref
appTerm
5088
def
refl
appThm
nil
75
ref
5088
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
208
ref
208
ref
208
ref
208
ref
208
ref
208
ref
3659
remove
appTerm
appTerm
5089
def
appTerm
appTerm
appTerm
appTerm
5090
def
nil
cons
cons
3629
ref
2110
remove
cons
cons
nil
cons
cons
2147
ref
subst
nil
581
ref
5089
remove
nil
cons
cons
3631
ref
2152
remove
cons
cons
nil
cons
cons
2817
ref
subst
3665
remove
1189
ref
306
ref
nil
3635
ref
2165
ref
cons
nil
cons
cons
2124
ref
subst
2099
ref
3666
remove
2124
ref
subst
2099
ref
3667
remove
appThm
trans
appThm
trans
appThm
2156
ref
appThm
2157
remove
trans
appThm
2088
ref
trans
sym
81
ref
eqMp
subst
3668
remove
eqMp
eqMp
eqMp
5091
def
nil
581
ref
207
ref
208
ref
208
ref
208
ref
5090
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2748
ref
2175
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5091
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
5046
ref
3646
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
5048
ref
proveHyp
5049
ref
eqMp
4925
remove
5042
remove
appThm
342
ref
trans
sym
81
ref
eqMp
proveHyp
proveHyp
eqMp
eqMp
nil
4959
ref
5080
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
4799
remove
appTerm
5092
def
betaConv
1622
ref
nil
1623
ref
44
ref
5092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
4950
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5093
def
nil
4959
ref
90
ref
5003
remove
cons
5094
def
778
ref
5007
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
4878
ref
4961
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
487
remove
appTerm
5095
def
betaConv
1622
ref
nil
1623
ref
44
ref
5095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
4701
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5096
def
nil
4878
ref
4734
ref
778
ref
4873
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
20
ref
"_32764"
3715
ref
var
5097
def
295
ref
4574
ref
5097
remove
varTerm
appTerm
appTerm
2172
ref
appTerm
absTerm
5098
def
4616
ref
appTerm
5099
def
appTerm
refl
5098
ref
4816
ref
appTerm
betaConv
appThm
92
ref
5099
remove
betaConv
appThm
295
ref
4574
ref
4816
ref
appTerm
5100
def
appTerm
5101
def
2172
ref
appTerm
5102
def
refl
appThm
trans
5098
remove
refl
4708
ref
4616
remove
appTerm
4816
remove
appTerm
assume
appThm
eqMp
sym
1566
ref
51
ref
5101
ref
1569
ref
appTerm
appTerm
1576
ref
2172
ref
appTerm
5103
def
appTerm
absTerm
5104
def
202
ref
4574
ref
4800
ref
appTerm
5105
def
appTerm
5106
def
4574
ref
4815
ref
appTerm
5107
def
appTerm
5108
def
appTerm
betaConv
sym
nil
2760
remove
nil
cons
cons
5109
def
3826
ref
subst
sym
81
ref
eqMp
nil
43
ref
3806
ref
4800
ref
appTerm
5110
def
nil
cons
cons
44
ref
51
ref
3806
ref
4815
ref
appTerm
5111
def
appTerm
4724
ref
4800
ref
appTerm
4815
ref
appTerm
5112
def
appTerm
5113
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
4825
remove
4826
remove
nil
cons
cons
nil
cons
cons
5114
def
320
ref
3725
ref
20
ref
4375
ref
4637
remove
appTerm
appTerm
4785
ref
4376
remove
appTerm
appTerm
absTerm
5115
def
3732
ref
appTerm
5116
def
betaConv
3730
ref
3743
ref
5115
ref
appTerm
5117
def
absTerm
5118
def
3731
ref
appTerm
5119
def
betaConv
nil
3743
ref
5118
ref
appTerm
5120
def
axiom
nil
43
ref
5120
remove
nil
cons
cons
44
ref
5119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5118
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5117
remove
nil
cons
cons
44
ref
5116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5115
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
sym
nil
2854
remove
nil
cons
cons
5121
def
3826
ref
subst
5122
def
sym
81
ref
eqMp
nil
43
ref
3806
ref
4804
ref
appTerm
5123
def
nil
cons
cons
44
ref
3806
ref
4808
ref
appTerm
5124
def
nil
cons
5125
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4828
remove
4830
remove
nil
cons
cons
nil
cons
cons
5126
def
320
ref
3725
ref
4420
remove
4375
remove
4831
ref
appTerm
appTerm
absTerm
5127
def
3732
ref
appTerm
5128
def
betaConv
3730
ref
3743
ref
5127
ref
appTerm
5129
def
absTerm
5130
def
3731
ref
appTerm
5131
def
betaConv
nil
3743
ref
5130
ref
appTerm
5132
def
axiom
nil
43
ref
5132
remove
nil
cons
cons
44
ref
5131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5130
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5129
remove
nil
cons
cons
44
ref
5128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5127
remove
nil
cons
cons
3755
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
5133
def
subst
eqMp
5134
def
nil
43
ref
5125
remove
cons
5135
def
44
ref
3806
ref
4814
ref
appTerm
5136
def
nil
cons
5137
def
cons
nil
cons
5138
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
596
remove
nil
cons
cons
5139
def
3826
ref
subst
5140
def
sym
81
ref
eqMp
nil
43
ref
3806
ref
4810
ref
appTerm
5141
def
nil
cons
cons
5138
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
4851
remove
4853
remove
nil
cons
cons
nil
cons
cons
5142
def
5133
remove
subst
eqMp
5143
def
eqMp
eqMp
nil
43
ref
5111
remove
nil
cons
cons
44
ref
5112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
4819
remove
4820
remove
nil
cons
cons
nil
cons
cons
5144
def
4748
ref
subst
nil
4750
ref
3760
ref
4751
ref
4800
remove
appTerm
4815
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
4628
ref
subst
trans
649
ref
304
ref
92
ref
5144
ref
4763
ref
subst
291
ref
92
ref
3840
ref
4823
remove
appThm
appThm
4821
remove
1154
ref
appTerm
betaConv
appThm
nil
4824
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
5114
ref
4647
remove
subst
873
ref
5126
remove
4841
ref
subst
291
ref
92
ref
3840
ref
4844
remove
appThm
appThm
4842
remove
1154
ref
appTerm
betaConv
appThm
nil
4845
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
5145
def
appThm
810
ref
92
ref
3840
ref
4848
remove
appThm
appThm
4846
remove
1154
ref
appTerm
betaConv
appThm
nil
4849
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
5146
def
appThm
appThm
trans
5147
def
appThm
5142
remove
4841
ref
subst
291
ref
92
ref
3840
ref
4856
ref
appThm
appThm
4854
remove
1154
ref
appTerm
betaConv
appThm
nil
4857
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
5148
def
appThm
810
ref
92
ref
3840
ref
4860
remove
appThm
appThm
4858
remove
1154
ref
appTerm
betaConv
appThm
nil
4861
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
5149
def
appThm
appThm
trans
5150
def
appThm
trans
appThm
trans
appThm
4769
ref
appThm
nil
75
ref
51
ref
239
ref
1154
ref
appTerm
5151
def
253
ref
appTerm
5152
def
appTerm
691
ref
51
ref
5151
ref
244
ref
appTerm
5153
def
appTerm
465
ref
5151
ref
472
ref
appTerm
5154
def
appTerm
5155
def
appTerm
5156
def
appTerm
51
ref
5151
ref
231
ref
appTerm
5157
def
appTerm
465
ref
5151
ref
476
ref
appTerm
5158
def
appTerm
5159
def
appTerm
5160
def
appTerm
5161
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1790
ref
subst
nil
848
ref
5161
remove
nil
cons
cons
849
ref
5152
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
691
ref
465
ref
5152
remove
appTerm
appTerm
refl
nil
848
ref
5160
ref
nil
cons
cons
849
ref
5156
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5162
def
848
ref
20
ref
465
ref
857
remove
appTerm
appTerm
51
ref
3037
remove
appTerm
3038
remove
appTerm
appTerm
absTerm
5163
def
853
ref
appTerm
5164
def
betaConv
849
ref
334
ref
5163
ref
appTerm
5165
def
absTerm
5166
def
851
ref
appTerm
5167
def
betaConv
nil
334
ref
5166
ref
appTerm
5168
def
axiom
nil
43
ref
5168
remove
nil
cons
cons
44
ref
5167
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
5166
remove
nil
cons
cons
870
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5165
remove
nil
cons
cons
44
ref
5164
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
5163
remove
nil
cons
cons
871
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
291
ref
nil
848
ref
5155
remove
nil
cons
cons
849
ref
5153
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
691
ref
465
ref
5153
ref
appTerm
appTerm
refl
nil
75
ref
5154
ref
nil
cons
cons
nil
cons
nil
cons
cons
615
ref
subst
appThm
trans
5169
def
appThm
nil
848
ref
5159
remove
nil
cons
cons
849
ref
5157
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3045
ref
subst
691
ref
465
ref
5157
ref
appTerm
appTerm
refl
nil
75
ref
5158
ref
nil
cons
cons
nil
cons
nil
cons
cons
615
ref
subst
appThm
trans
5170
def
appThm
trans
appThm
trans
trans
trans
absThm
appThm
trans
sym
nil
303
ref
192
ref
691
ref
5002
remove
appTerm
51
ref
691
ref
5026
remove
appTerm
5171
def
4806
ref
appTerm
5172
def
appTerm
5071
remove
4812
ref
appTerm
5173
def
appTerm
5174
def
appTerm
5175
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
5175
remove
nil
cons
5176
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
5004
remove
44
ref
5176
ref
cons
nil
cons
5177
def
cons
nil
cons
cons
5178
def
62
ref
subst
5178
remove
126
ref
subst
873
ref
810
ref
5010
remove
appThm
811
ref
trans
appThm
5174
ref
refl
5179
def
appThm
nil
75
ref
5174
remove
nil
cons
cons
nil
cons
nil
cons
cons
5180
def
754
remove
subst
trans
sym
81
ref
eqMp
eqMp
nil
5079
remove
90
ref
5176
ref
cons
nil
cons
5181
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4951
remove
5177
remove
cons
nil
cons
cons
5182
def
62
ref
subst
5182
remove
126
ref
subst
873
ref
810
ref
4953
remove
appThm
820
ref
trans
appThm
5179
remove
appThm
5180
remove
735
remove
subst
trans
sym
4511
remove
4513
remove
4514
remove
472
ref
appTerm
appTerm
absTerm
5183
def
253
ref
appTerm
betaConv
sym
4954
ref
467
ref
472
ref
appTerm
5184
def
refl
appThm
nil
75
ref
5184
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
1182
remove
3629
ref
3235
remove
cons
cons
nil
cons
cons
2089
ref
subst
nil
2091
ref
3631
remove
2790
remove
cons
cons
nil
cons
cons
2089
ref
subst
nil
1082
remove
3633
remove
2797
remove
cons
cons
nil
cons
cons
2422
ref
306
ref
nil
3635
remove
2516
ref
nil
cons
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
3636
remove
1737
remove
cons
nil
cons
cons
1707
ref
subst
1708
ref
nil
1211
remove
2562
ref
cons
nil
cons
cons
5185
def
1707
remove
subst
1708
ref
2007
remove
2311
ref
subst
1708
ref
2420
remove
appThm
trans
5186
def
appThm
trans
appThm
trans
appThm
trans
appThm
1720
ref
appThm
2434
remove
trans
appThm
2435
ref
trans
sym
81
ref
eqMp
subst
1008
ref
2804
remove
1213
ref
subst
appThm
2806
remove
trans
eqMp
eqMp
eqMp
5187
def
nil
2502
remove
2748
ref
957
ref
5063
remove
cons
5188
def
nil
cons
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5187
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
5183
ref
nil
cons
cons
3646
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5183
remove
appTerm
nil
cons
cons
44
ref
4998
ref
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5188
remove
1045
remove
cons
nil
cons
cons
2724
ref
subst
eqMp
291
ref
5171
remove
refl
5054
remove
appThm
nil
75
ref
5027
ref
cons
nil
cons
nil
cons
cons
938
ref
subst
trans
appThm
5173
ref
refl
appThm
nil
75
ref
5173
ref
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
5056
ref
253
remove
appTerm
betaConv
sym
4954
remove
467
remove
476
ref
appTerm
5189
def
refl
appThm
nil
75
ref
5189
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
581
ref
208
ref
208
ref
3661
remove
appTerm
appTerm
5190
def
nil
cons
cons
3629
remove
2875
ref
cons
cons
nil
cons
cons
2089
ref
subst
3664
remove
2817
remove
subst
3669
remove
eqMp
eqMp
5191
def
nil
581
ref
207
ref
207
ref
207
ref
207
remove
5190
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2748
remove
3413
ref
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5191
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
5065
ref
3646
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
5068
ref
proveHyp
5069
ref
eqMp
5072
ref
5074
ref
appThm
5077
remove
trans
5192
def
sym
81
ref
eqMp
proveHyp
eqMp
proveHyp
eqMp
eqMp
nil
4959
ref
5181
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
5093
remove
nil
4959
remove
5094
remove
778
ref
5176
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
43
ref
51
ref
5110
remove
appTerm
5113
remove
appTerm
nil
cons
cons
44
ref
5101
remove
5108
ref
appTerm
nil
cons
5193
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5144
remove
4793
ref
subst
eqMp
nil
43
ref
5193
remove
cons
44
ref
295
ref
5108
ref
appTerm
5194
def
2172
ref
appTerm
nil
cons
cons
nil
cons
5195
def
cons
nil
cons
cons
126
ref
subst
proveHyp
1566
ref
51
ref
5194
ref
1569
ref
appTerm
appTerm
5103
remove
appTerm
absTerm
5196
def
5106
ref
202
ref
4574
ref
4808
ref
appTerm
5197
def
appTerm
4574
ref
4814
ref
appTerm
5198
def
appTerm
5199
def
appTerm
5200
def
appTerm
betaConv
sym
nil
957
ref
5199
ref
nil
cons
cons
192
ref
5107
ref
nil
cons
cons
581
ref
5105
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3019
remove
subst
sym
5134
remove
nil
5135
remove
44
ref
51
ref
5136
remove
appTerm
4724
remove
4808
ref
appTerm
4814
ref
appTerm
5201
def
appTerm
5202
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
5143
remove
nil
43
ref
5137
remove
cons
44
ref
5201
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
5114
ref
4748
remove
subst
nil
4750
remove
3760
ref
4751
remove
4808
remove
appTerm
4814
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
4628
ref
subst
trans
649
ref
304
ref
92
ref
5114
ref
4763
remove
subst
291
ref
5147
remove
appThm
5150
remove
appThm
trans
appThm
4769
remove
appThm
nil
75
ref
51
ref
5156
remove
appTerm
5160
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1790
remove
subst
5162
remove
3045
remove
subst
873
remove
5169
remove
appThm
5170
remove
appThm
trans
trans
trans
absThm
appThm
trans
sym
nil
303
ref
192
ref
691
remove
5172
ref
appTerm
5203
def
5173
remove
appTerm
5204
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
5204
remove
nil
cons
5205
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
4921
ref
cons
5206
def
44
ref
5205
ref
cons
nil
cons
5207
def
cons
nil
cons
cons
5208
def
62
ref
subst
5208
remove
126
ref
subst
5203
remove
refl
5209
def
5072
remove
nil
5206
ref
44
ref
20
ref
4812
ref
appTerm
510
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
88
ref
5000
ref
cons
5210
def
nil
cons
nil
cons
cons
548
ref
subst
eqMp
appThm
5076
remove
946
remove
subst
trans
appThm
sym
nil
5206
remove
44
ref
5027
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
848
ref
4936
ref
cons
849
ref
5000
ref
cons
nil
cons
cons
nil
cons
cons
4901
remove
subst
sym
nil
5039
remove
5067
remove
cons
nil
cons
cons
5211
def
62
ref
subst
5211
remove
126
ref
subst
5056
remove
244
ref
appTerm
betaConv
sym
4942
remove
474
remove
476
ref
appTerm
5212
def
refl
appThm
nil
75
ref
5212
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
1736
ref
3531
remove
2875
remove
cons
cons
nil
cons
cons
2089
ref
subst
nil
2879
remove
nil
cons
nil
cons
cons
2892
remove
subst
eqMp
5213
def
nil
2513
remove
2853
remove
3413
remove
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5213
remove
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
5065
remove
3542
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
5068
remove
proveHyp
5069
remove
eqMp
eqMp
nil
4937
remove
90
ref
5000
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
5037
remove
90
ref
4998
remove
cons
nil
cons
cons
nil
cons
cons
2658
remove
2663
remove
75
ref
2664
remove
2668
remove
2669
remove
2673
remove
2674
remove
nil
518
remove
2671
remove
cons
nil
cons
cons
113
ref
subst
2659
remove
assume
eqMp
eqMp
2675
remove
deductAntisym
eqMp
eqMp
2676
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
5214
def
subst
proveHyp
nil
88
ref
5172
remove
nil
cons
5215
def
cons
90
ref
5075
remove
cons
nil
cons
cons
nil
cons
cons
5214
ref
subst
proveHyp
eqMp
eqMp
nil
88
ref
4921
remove
cons
90
ref
5205
ref
cons
nil
cons
5216
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
5000
ref
cons
5217
def
5207
remove
cons
nil
cons
cons
5218
def
62
ref
subst
5218
remove
126
ref
subst
5209
remove
5192
remove
appThm
nil
75
ref
5215
remove
cons
nil
cons
nil
cons
cons
938
remove
subst
trans
sym
81
ref
eqMp
eqMp
nil
5210
ref
5216
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
1619
ref
4812
ref
appTerm
5219
def
betaConv
1622
ref
nil
1623
ref
44
ref
5219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
1624
ref
338
ref
5000
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
5210
ref
4922
remove
778
ref
5205
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
43
ref
51
ref
5124
remove
appTerm
5202
remove
appTerm
nil
cons
cons
44
ref
295
ref
5107
remove
appTerm
5199
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5114
remove
4793
remove
subst
eqMp
eqMp
nil
43
ref
5194
remove
5200
ref
appTerm
nil
cons
cons
44
ref
295
ref
5200
ref
appTerm
2172
ref
appTerm
5220
def
nil
cons
5221
def
cons
nil
cons
5222
def
cons
nil
cons
cons
126
ref
subst
proveHyp
3804
ref
45
ref
51
ref
5123
remove
appTerm
5223
def
3812
ref
3807
ref
appTerm
5224
def
4804
ref
appTerm
appTerm
appTerm
295
ref
4574
ref
4805
remove
3807
ref
appTerm
appTerm
appTerm
"Number.Natural.-"
const
201
remove
constTerm
5225
def
4574
ref
4804
ref
appTerm
appTerm
5226
def
4574
ref
3807
ref
appTerm
5227
def
appTerm
appTerm
appTerm
absTerm
5228
def
4807
ref
appTerm
5229
def
betaConv
3760
ref
24
ref
4371
remove
constTerm
5230
def
3804
ref
45
ref
51
ref
3806
ref
3760
ref
varTerm
5231
def
appTerm
appTerm
5224
ref
5231
ref
appTerm
appTerm
appTerm
295
ref
4574
ref
4802
ref
5231
ref
appTerm
3807
ref
appTerm
appTerm
appTerm
5225
ref
4574
ref
5231
remove
appTerm
appTerm
5227
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5232
def
4804
ref
appTerm
5233
def
betaConv
320
ref
nil
3743
ref
3730
ref
3743
ref
3725
remove
45
ref
4785
ref
3829
remove
3732
ref
appTerm
3731
ref
appTerm
appTerm
appTerm
295
ref
4603
ref
4831
remove
appTerm
appTerm
5225
ref
4604
ref
appTerm
4786
remove
appTerm
appTerm
appTerm
absTerm
5234
def
appTerm
5235
def
absTerm
5236
def
appTerm
5237
def
axiom
5238
def
subst
5239
def
nil
43
ref
5230
ref
5232
ref
appTerm
nil
cons
cons
5240
def
44
ref
5233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4368
ref
4369
ref
5232
ref
nil
cons
cons
5241
def
4370
ref
4829
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5230
ref
5228
ref
appTerm
nil
cons
cons
44
ref
5229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4368
ref
4369
ref
5228
remove
nil
cons
cons
4370
ref
4827
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
45
ref
5223
remove
3812
ref
4807
ref
appTerm
4804
remove
appTerm
appTerm
5242
def
appTerm
295
ref
5197
ref
appTerm
5226
remove
4574
ref
4807
remove
appTerm
appTerm
5243
def
appTerm
5244
def
appTerm
5245
def
nil
cons
cons
5222
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
291
ref
5122
remove
appThm
nil
3804
ref
4829
remove
cons
3760
ref
4827
remove
cons
nil
cons
cons
nil
cons
cons
3837
ref
subst
649
ref
304
ref
454
ref
5146
remove
appThm
5145
remove
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
ref
5154
remove
appTerm
5153
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
192
ref
45
ref
4806
remove
appTerm
4803
remove
appTerm
5246
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
5246
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
5052
remove
5085
remove
cons
nil
cons
cons
5247
def
62
ref
subst
5247
remove
126
ref
subst
5083
remove
472
ref
appTerm
betaConv
sym
5057
remove
5058
remove
244
ref
appTerm
5248
def
refl
appThm
nil
75
ref
5248
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
3403
ref
5061
remove
3663
remove
cons
cons
nil
cons
cons
2089
remove
subst
3406
remove
3407
ref
subst
3408
remove
eqMp
eqMp
5249
def
nil
3411
ref
5064
ref
3672
remove
cons
cons
nil
cons
cons
2180
ref
subst
deductAntisym
5249
ref
eqMp
sym
81
ref
eqMp
eqMp
eqMp
302
ref
5084
remove
5066
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
5086
remove
proveHyp
5087
remove
eqMp
eqMp
nil
5020
remove
90
ref
4936
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
5242
ref
nil
cons
cons
5250
def
44
ref
45
ref
5244
ref
appTerm
5220
ref
appTerm
5251
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
5244
ref
nil
cons
5252
def
cons
5222
remove
cons
nil
cons
cons
5253
def
62
ref
subst
5253
remove
126
ref
subst
20
ref
"_32780"
186
ref
var
5254
def
295
ref
5106
ref
202
ref
5254
remove
varTerm
appTerm
5198
ref
appTerm
appTerm
appTerm
2172
ref
appTerm
absTerm
5255
def
5197
remove
appTerm
5256
def
appTerm
refl
5255
ref
5243
ref
appTerm
betaConv
appThm
92
ref
5256
remove
betaConv
appThm
295
ref
5106
ref
202
ref
5243
remove
appTerm
5257
def
5198
ref
appTerm
appTerm
appTerm
2172
ref
appTerm
5258
def
refl
appThm
trans
5255
remove
refl
5244
remove
assume
appThm
eqMp
sym
3804
ref
45
ref
51
ref
5141
remove
appTerm
5259
def
5224
remove
4810
ref
appTerm
appTerm
appTerm
295
ref
4574
ref
4811
remove
3807
ref
appTerm
appTerm
appTerm
5225
ref
4574
ref
4810
ref
appTerm
appTerm
5260
def
5227
remove
appTerm
appTerm
appTerm
absTerm
5261
def
4813
ref
appTerm
5262
def
betaConv
5232
remove
4810
ref
appTerm
5263
def
betaConv
5239
remove
nil
5240
remove
44
ref
5263
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4368
ref
5241
remove
4370
ref
4852
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5230
remove
5261
ref
appTerm
nil
cons
cons
44
ref
5262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
4368
ref
4369
ref
5261
remove
nil
cons
cons
4370
ref
4850
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
45
ref
5259
remove
3812
ref
4813
ref
appTerm
4810
remove
appTerm
appTerm
5264
def
appTerm
295
ref
5198
ref
appTerm
5260
remove
4574
ref
4813
remove
appTerm
appTerm
5265
def
appTerm
5266
def
appTerm
5267
def
nil
cons
cons
44
ref
5258
ref
nil
cons
5268
def
cons
nil
cons
5269
def
cons
nil
cons
cons
113
ref
subst
proveHyp
291
ref
5140
ref
appThm
nil
3804
ref
4852
remove
cons
3760
ref
4850
remove
cons
nil
cons
cons
nil
cons
cons
3837
ref
subst
649
ref
304
ref
454
ref
5149
remove
appThm
5148
remove
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
ref
5158
remove
appTerm
5157
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
192
ref
45
ref
4812
remove
appTerm
4809
remove
appTerm
5270
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
5270
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
5217
remove
5047
remove
cons
nil
cons
cons
5271
def
62
ref
subst
5271
remove
126
ref
subst
5043
remove
476
ref
appTerm
betaConv
sym
291
ref
5074
remove
appThm
3321
remove
231
ref
appTerm
5272
def
refl
appThm
nil
75
ref
5272
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
2899
remove
sym
81
ref
eqMp
eqMp
eqMp
302
ref
5046
remove
3414
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
5048
remove
proveHyp
5049
remove
eqMp
eqMp
nil
5210
remove
90
ref
4920
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
5264
ref
nil
cons
cons
5273
def
44
ref
45
ref
5266
ref
appTerm
5258
ref
appTerm
5274
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
5266
ref
nil
cons
5275
def
cons
5269
remove
cons
nil
cons
cons
5276
def
62
ref
subst
5276
remove
126
ref
subst
20
ref
"_32784"
186
ref
var
5277
def
295
ref
5106
ref
5257
ref
5277
remove
varTerm
appTerm
appTerm
appTerm
2172
ref
appTerm
absTerm
5278
def
5198
remove
appTerm
5279
def
appTerm
refl
5278
ref
5265
ref
appTerm
betaConv
appThm
92
ref
5279
remove
betaConv
appThm
295
ref
5106
remove
5257
remove
5265
remove
appTerm
appTerm
appTerm
2172
ref
appTerm
refl
appThm
trans
5278
remove
refl
5266
remove
assume
appThm
eqMp
sym
306
ref
397
ref
5109
remove
192
ref
295
ref
4574
ref
3821
remove
appTerm
appTerm
195
ref
appTerm
absTerm
5280
def
195
ref
appTerm
5281
def
betaConv
nil
299
ref
5280
ref
appTerm
5282
def
axiom
nil
43
ref
5282
remove
nil
cons
cons
44
ref
5281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5280
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5283
def
subst
appThm
397
ref
5225
ref
refl
5284
def
5121
remove
5283
ref
subst
appThm
nil
5064
remove
nil
cons
5285
def
nil
cons
cons
5283
ref
subst
appThm
appThm
5284
ref
5139
ref
5283
ref
subst
5286
def
appThm
3433
remove
5283
ref
subst
appThm
appThm
appThm
appThm
2172
remove
refl
appThm
sym
2782
remove
397
ref
5249
remove
nil
43
ref
295
ref
202
ref
3410
ref
appTerm
472
ref
appTerm
appTerm
244
ref
appTerm
nil
cons
cons
44
ref
295
ref
5225
ref
244
remove
appTerm
472
remove
appTerm
appTerm
3410
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
3411
remove
3671
remove
5285
remove
cons
cons
nil
cons
cons
nil
43
ref
2087
ref
cons
44
ref
295
ref
5225
ref
961
ref
appTerm
195
ref
appTerm
appTerm
585
ref
appTerm
nil
cons
5287
def
cons
nil
cons
cons
nil
cons
cons
5288
def
62
ref
subst
5288
remove
126
ref
subst
20
ref
"_9320"
186
ref
var
5289
def
295
ref
5225
ref
5289
remove
varTerm
appTerm
195
ref
appTerm
appTerm
585
ref
appTerm
absTerm
5290
def
961
ref
appTerm
5291
def
appTerm
refl
5290
ref
598
ref
appTerm
betaConv
appThm
92
ref
5291
remove
betaConv
appThm
295
ref
5225
ref
598
remove
appTerm
195
ref
appTerm
appTerm
585
ref
appTerm
5292
def
refl
appThm
trans
5290
remove
refl
2179
remove
appThm
eqMp
sym
192
ref
5292
remove
absTerm
5293
def
195
ref
appTerm
5294
def
betaConv
581
ref
299
ref
5293
ref
appTerm
5295
def
absTerm
5296
def
585
ref
appTerm
5297
def
betaConv
nil
299
ref
5296
ref
appTerm
5298
def
axiom
nil
43
ref
5298
remove
nil
cons
cons
44
ref
5297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5296
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5295
remove
nil
cons
cons
44
ref
5294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5293
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
2087
remove
cons
90
ref
5287
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
5299
def
subst
eqMp
appThm
2894
remove
nil
43
ref
295
ref
202
ref
2895
ref
appTerm
476
ref
appTerm
appTerm
231
ref
appTerm
nil
cons
cons
44
ref
295
ref
5225
ref
231
ref
appTerm
476
remove
appTerm
appTerm
2895
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2896
remove
2174
ref
3432
remove
cons
cons
nil
cons
cons
5299
ref
subst
eqMp
appThm
nil
3403
remove
3448
remove
957
ref
2811
ref
cons
nil
cons
cons
cons
nil
cons
cons
3343
ref
subst
nil
3404
remove
1184
remove
957
ref
2813
ref
cons
nil
cons
cons
cons
nil
cons
cons
3407
remove
subst
nil
2562
remove
nil
cons
cons
5300
def
2877
remove
subst
eqMp
eqMp
trans
appThm
nil
2784
remove
192
ref
2811
remove
cons
957
ref
2106
remove
cons
nil
cons
cons
cons
nil
cons
cons
3343
remove
subst
nil
2788
remove
192
ref
2813
remove
cons
957
ref
2148
remove
cons
nil
cons
cons
cons
nil
cons
cons
1189
remove
306
ref
3535
remove
2098
ref
subst
2099
ref
3536
remove
appThm
trans
appThm
2331
remove
appThm
2333
remove
trans
appThm
2088
remove
trans
sym
81
ref
eqMp
subst
nil
2795
remove
978
remove
2815
remove
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2424
ref
2799
remove
cons
nil
cons
cons
2098
ref
subst
2099
ref
nil
2428
ref
2307
remove
cons
nil
cons
cons
2098
ref
subst
2099
ref
2038
remove
2098
ref
subst
3637
remove
trans
appThm
trans
appThm
trans
appThm
3640
ref
appThm
3644
ref
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
1008
ref
nil
998
ref
581
ref
2802
remove
cons
nil
cons
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
2441
remove
1233
ref
subst
appThm
2805
remove
trans
appThm
trans
appThm
3368
remove
2329
ref
subst
trans
eqMp
eqMp
eqMp
trans
eqMp
eqMp
eqMp
nil
88
ref
5275
ref
cons
90
ref
5268
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
51
ref
5264
remove
appTerm
5274
remove
appTerm
nil
cons
cons
44
ref
45
ref
5267
remove
appTerm
5258
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
ref
5268
remove
cons
44
ref
5275
remove
cons
5273
remove
nil
cons
cons
cons
nil
cons
cons
3167
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
88
ref
5252
ref
cons
90
ref
5221
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
43
ref
51
ref
5242
remove
appTerm
5251
remove
appTerm
nil
cons
cons
44
ref
45
ref
5245
remove
appTerm
5220
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
783
remove
5221
remove
cons
44
ref
5252
remove
cons
5250
remove
nil
cons
cons
cons
nil
cons
cons
3167
remove
subst
eqMp
eqMp
eqMp
eqMp
302
ref
303
ref
5196
ref
nil
cons
cons
304
ref
5200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5196
remove
appTerm
nil
cons
cons
5195
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
2173
remove
cons
5301
def
304
ref
5108
remove
nil
cons
cons
nil
cons
5302
def
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
eqMp
302
ref
303
ref
5104
ref
nil
cons
cons
5302
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5104
remove
appTerm
nil
cons
cons
44
ref
5102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5301
remove
304
ref
5100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
43
ref
4794
remove
4798
ref
appTerm
nil
cons
cons
44
ref
295
ref
4798
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
3804
ref
3714
remove
0
ref
0
ref
"Data.Pair.*"
typeOp
5303
def
199
remove
opType
5304
def
198
ref
cons
opType
5305
def
0
ref
3708
ref
5304
ref
nil
cons
5306
def
opType
5307
def
3717
remove
cons
opType
nil
cons
cons
opType
constTerm
"select"
const
5308
def
0
ref
0
ref
5305
ref
17
ref
cons
opType
5309
def
5305
ref
nil
cons
5310
def
cons
opType
constTerm
5311
def
"f"
5305
ref
var
5312
def
299
ref
190
ref
299
ref
191
ref
295
ref
5312
ref
varTerm
"Data.Pair.,"
const
5313
def
0
ref
186
ref
0
ref
186
ref
5306
ref
cons
opType
nil
cons
cons
opType
constTerm
5314
def
206
ref
appTerm
203
ref
appTerm
5315
def
appTerm
appTerm
216
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5316
def
appTerm
"Set.cross"
const
5317
def
0
ref
3715
ref
0
ref
3715
ref
5307
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
3718
ref
3719
ref
372
ref
190
ref
51
ref
3720
ref
206
ref
appTerm
appTerm
5318
def
51
ref
504
ref
appTerm
458
ref
appTerm
5319
def
appTerm
absTerm
appTerm
absTerm
appTerm
5320
def
appTerm
3718
ref
3719
ref
372
ref
191
ref
51
ref
3720
remove
203
ref
appTerm
appTerm
461
ref
appTerm
absTerm
appTerm
absTerm
appTerm
5321
def
appTerm
5322
def
appTerm
5323
def
nil
cons
cons
4728
remove
cons
nil
cons
cons
4628
ref
subst
649
ref
304
ref
92
ref
4729
remove
appThm
nil
"s"
5307
ref
var
5322
ref
nil
cons
cons
5324
def
5312
remove
5316
ref
nil
cons
cons
5325
def
1566
ref
3845
remove
cons
nil
cons
cons
cons
nil
cons
cons
"A"
5306
remove
cons
4434
ref
cons
8
ref
cons
5326
def
3783
remove
subst
subst
92
ref
29
ref
0
ref
0
ref
5304
ref
17
ref
cons
opType
5327
def
17
ref
cons
opType
5328
def
constTerm
refl
"x"
5304
ref
var
5329
def
5329
ref
51
ref
1568
ref
5316
ref
5329
ref
varTerm
5330
def
appTerm
5331
def
appTerm
appTerm
3734
ref
0
ref
5304
ref
0
ref
5307
ref
17
ref
cons
opType
5332
def
nil
cons
cons
opType
constTerm
5333
def
5330
ref
appTerm
5322
ref
appTerm
5334
def
appTerm
absTerm
5335
def
5330
ref
appTerm
betaConv
absThm
appThm
appThm
1430
ref
2451
ref
1430
ref
3122
ref
5335
ref
5314
ref
2453
ref
appTerm
3125
ref
appTerm
5336
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
5327
ref
var
5337
def
5335
remove
nil
cons
cons
nil
cons
nil
cons
cons
301
remove
4434
remove
cons
8
ref
cons
5338
def
"p"
0
ref
5303
remove
12
remove
opType
5339
def
17
ref
cons
opType
5340
def
var
5341
def
20
ref
29
ref
0
ref
5340
ref
17
ref
cons
opType
5342
def
constTerm
"x"
5339
ref
var
5343
def
5341
ref
varTerm
5344
def
5343
remove
varTerm
appTerm
absTerm
5345
def
appTerm
appTerm
32
ref
"a"
9
ref
var
5346
def
29
ref
26
remove
constTerm
"b"
10
ref
var
5347
def
5344
ref
5313
remove
0
ref
9
ref
0
ref
10
ref
5339
ref
nil
cons
5348
def
cons
opType
nil
cons
cons
opType
constTerm
5349
def
5346
ref
varTerm
5350
def
appTerm
5347
ref
varTerm
5351
def
appTerm
5352
def
appTerm
absTerm
5353
def
appTerm
absTerm
appTerm
appTerm
absTerm
5354
def
5344
ref
appTerm
5355
def
betaConv
nil
24
ref
0
ref
5342
ref
17
ref
cons
opType
constTerm
5356
def
5354
ref
appTerm
5357
def
axiom
nil
43
ref
5357
remove
nil
cons
cons
44
ref
5355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
5340
ref
nil
cons
5358
def
cons
nil
cons
5359
def
"P"
5342
ref
var
5360
def
5354
remove
nil
cons
cons
"x"
5340
remove
var
5344
ref
nil
cons
cons
nil
cons
5361
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
trans
1430
ref
2451
ref
1430
ref
3122
ref
291
ref
1568
ref
refl
nil
191
ref
3136
ref
cons
190
ref
2470
remove
cons
nil
cons
cons
nil
cons
cons
191
ref
295
ref
5311
ref
"_32810"
5305
ref
var
5362
def
299
ref
190
ref
299
ref
191
ref
295
ref
5362
remove
varTerm
5315
ref
appTerm
appTerm
216
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5363
def
appTerm
5364
def
5315
ref
appTerm
appTerm
216
ref
appTerm
absTerm
5365
def
203
ref
appTerm
5366
def
betaConv
190
ref
299
ref
5365
ref
appTerm
5367
def
absTerm
5368
def
206
ref
appTerm
5369
def
betaConv
5363
ref
5364
remove
appTerm
5370
def
betaConv
5363
ref
"_32808"
5304
ref
var
5371
def
202
ref
5311
ref
"fn"
5305
ref
var
5372
def
299
ref
2451
ref
299
ref
3122
ref
295
ref
5372
ref
varTerm
5336
ref
appTerm
appTerm
5373
def
3125
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5374
def
5371
remove
varTerm
5375
def
appTerm
appTerm
205
ref
5311
remove
5372
remove
299
ref
2451
ref
299
ref
3122
ref
5373
remove
2453
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5376
def
5375
remove
appTerm
appTerm
214
ref
appTerm
appTerm
absTerm
5377
def
appTerm
betaConv
sym
nil
303
ref
190
ref
299
ref
191
ref
295
ref
5377
ref
5315
ref
appTerm
5378
def
appTerm
216
ref
appTerm
5379
def
absTerm
5380
def
appTerm
5381
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
5381
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
5380
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
191
ref
nil
75
ref
5379
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
5378
remove
betaConv
295
ref
"_32805"
186
ref
var
5382
def
202
ref
5382
ref
varTerm
appTerm
5383
def
215
ref
appTerm
absTerm
203
ref
appTerm
5384
def
appTerm
refl
5382
ref
5383
ref
205
ref
5376
remove
5315
ref
appTerm
5385
def
appTerm
214
ref
appTerm
5386
def
appTerm
absTerm
5387
def
5374
remove
5315
remove
appTerm
5388
def
appTerm
betaConv
appThm
306
ref
5384
remove
betaConv
appThm
202
ref
5388
remove
appTerm
5386
remove
appTerm
refl
appThm
trans
15
ref
0
ref
200
ref
0
ref
200
remove
17
ref
cons
opType
nil
cons
cons
opType
constTerm
5389
def
"_32804"
186
ref
var
5390
def
5382
remove
5383
remove
205
ref
5390
remove
varTerm
appTerm
214
ref
appTerm
appTerm
absTerm
absTerm
5391
def
206
ref
appTerm
5392
def
appTerm
refl
5391
ref
5385
remove
appTerm
betaConv
appThm
5389
remove
refl
5392
remove
betaConv
appThm
5387
remove
refl
appThm
trans
5391
remove
refl
nil
3123
remove
3124
remove
cons
nil
cons
cons
5393
def
5338
ref
5347
ref
154
ref
5308
ref
0
ref
0
ref
0
ref
5339
ref
167
ref
cons
opType
5394
def
17
ref
cons
opType
5395
def
5394
ref
nil
cons
5396
def
cons
opType
constTerm
"fn"
5394
remove
var
5397
def
118
ref
5346
ref
27
ref
5347
ref
154
ref
5397
ref
varTerm
5352
ref
appTerm
appTerm
5398
def
5350
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5399
def
appTerm
5400
def
5352
ref
appTerm
appTerm
5350
ref
appTerm
absTerm
5401
def
5351
ref
appTerm
5402
def
betaConv
5346
ref
27
ref
5401
ref
appTerm
5403
def
absTerm
5404
def
5350
ref
appTerm
5405
def
betaConv
5399
ref
5400
remove
appTerm
5406
def
betaConv
29
ref
0
ref
5395
ref
17
ref
cons
opType
constTerm
5407
def
refl
5397
remove
1404
ref
5346
ref
27
ref
refl
5408
def
5347
ref
5398
remove
refl
5346
ref
5347
ref
5350
ref
absTerm
5409
def
absTerm
5410
def
5350
ref
appTerm
betaConv
5351
ref
refl
5411
def
appThm
5409
remove
5351
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
167
ref
cons
nil
cons
"_1343"
0
ref
9
ref
0
ref
10
ref
167
ref
cons
opType
nil
cons
cons
opType
var
5410
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
0
ref
9
ref
4468
remove
cons
opType
5412
def
var
5413
def
5346
ref
5347
ref
"_1343"
5412
ref
var
varTerm
5350
ref
appTerm
5351
ref
appTerm
5414
def
absTerm
5415
def
absTerm
5416
def
nil
cons
cons
nil
cons
nil
cons
cons
5413
ref
29
ref
0
ref
0
ref
0
ref
5339
ref
4454
remove
cons
opType
5417
def
17
ref
cons
opType
5418
def
17
ref
cons
opType
5419
def
constTerm
5420
def
"fn"
5417
ref
var
5421
def
118
ref
5346
ref
27
ref
5347
ref
4453
remove
5421
ref
varTerm
5422
def
5352
ref
appTerm
appTerm
5423
def
5413
remove
varTerm
5424
def
5350
ref
appTerm
5351
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5425
def
5424
ref
appTerm
5426
def
betaConv
nil
24
ref
0
ref
0
ref
5412
ref
17
ref
cons
opType
5427
def
17
ref
cons
opType
constTerm
5425
ref
appTerm
5428
def
axiom
nil
43
ref
5428
remove
nil
cons
cons
44
ref
5426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
5412
ref
nil
cons
cons
nil
cons
"P"
5427
remove
var
5425
remove
nil
cons
cons
"x"
5412
remove
var
5424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
nil
43
ref
5420
ref
5421
ref
118
ref
5346
ref
27
ref
5347
ref
5423
ref
5416
remove
5350
ref
appTerm
5429
def
5351
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5430
def
absTerm
5431
def
appTerm
5432
def
nil
cons
cons
44
ref
5420
remove
5421
ref
118
ref
5346
ref
27
ref
5347
ref
5423
ref
5414
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5433
def
appTerm
5434
def
nil
cons
5435
def
cons
nil
cons
5436
def
cons
nil
cons
cons
113
ref
subst
nil
"P"
5418
remove
var
5437
def
5421
ref
45
ref
5431
ref
5422
ref
appTerm
5438
def
appTerm
5434
ref
appTerm
5439
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
5417
ref
nil
cons
cons
nil
cons
5440
def
8
ref
cons
183
ref
subst
subst
5421
remove
nil
75
ref
5439
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5438
ref
nil
cons
5441
def
cons
5436
ref
cons
nil
cons
cons
5442
def
62
ref
subst
5442
remove
126
ref
subst
5438
ref
betaConv
5438
remove
assume
eqMp
nil
43
ref
5430
ref
nil
cons
5443
def
cons
5436
remove
cons
nil
cons
cons
5444
def
113
ref
subst
proveHyp
5444
ref
62
ref
subst
5444
remove
126
ref
subst
5433
ref
5422
ref
appTerm
betaConv
sym
1404
ref
5346
ref
5408
ref
5347
ref
5423
remove
refl
5429
remove
betaConv
5411
ref
appThm
5415
remove
5351
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
5430
remove
assume
eqMp
eqMp
5440
ref
5437
ref
5433
remove
nil
cons
cons
"x"
5417
remove
var
5445
def
5422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
nil
88
ref
5443
remove
cons
90
ref
5435
remove
cons
nil
cons
5446
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
5441
remove
cons
5446
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
24
ref
5419
remove
constTerm
5445
ref
45
ref
5431
ref
5445
remove
varTerm
appTerm
appTerm
5434
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
5432
remove
appTerm
5434
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5440
remove
5437
remove
5431
remove
nil
cons
cons
5446
remove
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
proveHyp
5447
def
subst
eqMp
nil
43
ref
5407
remove
5399
ref
appTerm
nil
cons
cons
44
ref
5406
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
5396
remove
cons
nil
cons
"p"
5395
remove
var
5399
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
43
ref
32
ref
129
ref
appTerm
5448
def
nil
cons
5449
def
cons
5450
def
44
ref
20
ref
129
ref
5308
ref
0
ref
30
ref
167
remove
cons
opType
constTerm
129
ref
appTerm
appTerm
5451
def
appTerm
5452
def
67
ref
appTerm
5453
def
nil
cons
5454
def
cons
nil
cons
5455
def
cons
nil
cons
cons
5456
def
62
ref
subst
5456
remove
126
ref
subst
3114
remove
nil
1405
remove
1323
ref
cons
nil
cons
nil
cons
cons
1408
remove
1418
ref
1411
remove
appTerm
5457
def
betaConv
1420
remove
nil
43
ref
1419
remove
nil
cons
cons
44
ref
5457
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
ref
115
ref
1418
remove
nil
cons
cons
1421
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
75
ref
5449
ref
cons
nil
cons
nil
cons
cons
5458
def
82
ref
subst
5448
ref
assume
eqMp
trans
sym
81
ref
eqMp
nil
43
ref
1444
remove
nil
cons
cons
5455
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
119
ref
1323
remove
cons
90
ref
5454
remove
cons
nil
cons
5459
def
cons
nil
cons
cons
nil
359
remove
44
ref
45
ref
32
remove
33
ref
123
ref
absTerm
5460
def
appTerm
5461
def
appTerm
95
ref
appTerm
5462
def
nil
cons
5463
def
cons
nil
cons
5464
def
cons
nil
cons
cons
5465
def
538
ref
subst
5465
ref
62
ref
subst
5465
remove
126
ref
subst
nil
119
ref
33
ref
45
ref
5460
ref
36
ref
appTerm
5466
def
appTerm
95
remove
appTerm
5467
def
absTerm
5468
def
nil
cons
cons
nil
cons
nil
cons
cons
183
ref
subst
33
ref
nil
75
ref
5467
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5466
ref
nil
cons
5469
def
cons
361
ref
cons
nil
cons
cons
5470
def
62
ref
subst
5470
remove
126
ref
subst
nil
"f"
30
remove
var
1406
remove
cons
152
ref
170
remove
cons
nil
cons
cons
nil
cons
cons
1407
remove
169
ref
cons
8
ref
cons
152
ref
34
ref
33
ref
37
remove
absTerm
156
ref
appTerm
appTerm
4601
remove
appTerm
absTerm
5471
def
156
ref
appTerm
5472
def
betaConv
14
remove
118
ref
5471
ref
appTerm
5473
def
absTerm
5474
def
23
remove
appTerm
5475
def
betaConv
nil
41
remove
5474
ref
appTerm
5476
def
axiom
nil
43
ref
5476
remove
nil
cons
cons
44
ref
5475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
114
remove
115
remove
5474
remove
nil
cons
cons
117
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5473
remove
nil
cons
cons
44
ref
5472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5471
remove
nil
cons
cons
172
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
5477
def
5466
remove
assume
eqMp
364
remove
proveHyp
367
remove
eqMp
eqMp
nil
88
ref
5469
remove
cons
369
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
118
ref
5468
remove
appTerm
nil
cons
cons
5464
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5460
remove
nil
cons
cons
5478
def
369
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
nil
368
remove
90
ref
5463
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
354
remove
5462
ref
appTerm
nil
cons
cons
44
ref
45
ref
5462
ref
appTerm
353
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
5463
ref
cons
44
ref
358
ref
cons
nil
cons
cons
nil
cons
cons
5479
def
62
ref
subst
5479
remove
126
ref
subst
nil
366
remove
nil
cons
nil
cons
cons
183
ref
subst
33
ref
nil
75
ref
351
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
363
ref
62
ref
subst
363
remove
126
ref
subst
5477
remove
sym
123
remove
assume
eqMp
169
ref
5478
remove
171
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
5461
remove
nil
cons
cons
361
remove
cons
nil
cons
cons
113
ref
subst
5462
remove
assume
eqMp
proveHyp
eqMp
nil
88
ref
124
remove
cons
369
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
88
ref
5463
remove
cons
90
ref
358
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
119
ref
33
ref
347
ref
5453
ref
appTerm
5480
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
183
remove
subst
33
ref
nil
75
ref
5480
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
346
remove
nil
cons
5481
def
cons
5482
def
5455
remove
cons
nil
cons
cons
5483
def
62
ref
subst
5483
remove
126
ref
subst
nil
75
ref
5451
ref
nil
cons
5484
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
5482
remove
44
ref
5484
remove
cons
5485
def
nil
cons
cons
nil
cons
cons
113
ref
subst
33
ref
347
remove
5451
ref
appTerm
absTerm
5486
def
36
ref
appTerm
5487
def
betaConv
128
remove
118
ref
5486
ref
appTerm
5488
def
absTerm
5489
def
129
remove
appTerm
5490
def
betaConv
nil
1315
remove
5489
ref
appTerm
5491
def
axiom
nil
43
ref
5491
remove
nil
cons
cons
44
ref
5490
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
1320
remove
1321
remove
5489
remove
nil
cons
cons
1324
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5488
remove
nil
cons
cons
44
ref
5487
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5486
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
88
ref
5481
remove
cons
5459
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
88
ref
5449
ref
cons
5459
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
45
ref
5448
ref
appTerm
5492
def
5453
remove
appTerm
nil
cons
cons
44
ref
20
ref
5492
ref
5451
remove
appTerm
appTerm
5493
def
5492
ref
67
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"q'"
16
ref
var
5494
def
329
ref
cons
nil
cons
nil
cons
cons
5448
ref
refl
nil
43
ref
20
ref
5448
ref
appTerm
5495
def
5448
remove
appTerm
nil
cons
cons
44
ref
45
ref
5492
ref
5452
remove
5494
ref
varTerm
5496
def
appTerm
5497
def
appTerm
appTerm
5493
ref
5492
remove
5496
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"p'"
16
ref
var
5498
def
5449
remove
cons
nil
cons
nil
cons
cons
5494
ref
45
ref
5495
remove
5498
ref
varTerm
5499
def
appTerm
appTerm
45
ref
45
ref
5499
ref
appTerm
5500
def
5497
remove
appTerm
appTerm
5493
remove
5500
ref
5496
ref
appTerm
5501
def
appTerm
appTerm
appTerm
absTerm
5502
def
5496
ref
appTerm
5503
def
betaConv
5498
ref
334
ref
5502
ref
appTerm
5504
def
absTerm
5505
def
5499
ref
appTerm
5506
def
betaConv
nil
5485
remove
5450
remove
nil
cons
cons
nil
cons
cons
nil
337
ref
5498
ref
334
ref
5494
ref
45
ref
521
remove
5499
ref
appTerm
5507
def
appTerm
45
ref
5500
ref
20
ref
48
ref
appTerm
5496
ref
appTerm
5508
def
appTerm
5509
def
appTerm
50
remove
5501
ref
appTerm
5510
def
appTerm
5511
def
appTerm
5512
def
absTerm
5513
def
appTerm
5514
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
357
ref
subst
5498
remove
nil
75
ref
5514
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
337
ref
5513
remove
nil
cons
cons
nil
cons
nil
cons
cons
357
remove
subst
5494
remove
nil
75
ref
5512
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5507
remove
nil
cons
5515
def
cons
5516
def
44
ref
5511
remove
nil
cons
5517
def
cons
nil
cons
cons
nil
cons
cons
5518
def
62
ref
subst
5518
remove
126
ref
subst
nil
43
ref
5509
ref
nil
cons
5519
def
cons
44
ref
5510
remove
nil
cons
5520
def
cons
nil
cons
cons
nil
cons
cons
5521
def
62
ref
subst
5521
remove
126
ref
subst
nil
526
remove
44
ref
5501
ref
nil
cons
5522
def
cons
nil
cons
cons
nil
cons
cons
5523
def
538
ref
subst
5523
ref
62
ref
subst
5523
remove
126
ref
subst
nil
43
ref
5499
ref
nil
cons
5524
def
cons
5525
def
44
ref
5496
ref
nil
cons
5526
def
cons
nil
cons
5527
def
cons
nil
cons
cons
5528
def
62
ref
subst
5528
ref
126
ref
subst
nil
5516
ref
44
ref
47
remove
5499
remove
appTerm
5529
def
nil
cons
5530
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
43
ref
76
remove
cons
44
ref
5524
ref
cons
nil
cons
cons
nil
cons
cons
5531
def
1172
ref
subst
eqMp
5532
def
nil
43
ref
5530
ref
cons
5533
def
5527
ref
cons
nil
cons
cons
5534
def
113
ref
subst
proveHyp
nil
5516
remove
44
ref
5500
remove
46
remove
appTerm
5535
def
nil
cons
5536
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
5531
ref
nil
1167
remove
529
remove
cons
nil
cons
cons
5537
def
62
ref
subst
5537
remove
126
ref
subst
533
remove
eqMp
nil
1170
remove
536
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
5538
def
subst
eqMp
5539
def
nil
43
ref
5536
ref
cons
5540
def
44
ref
45
ref
5529
ref
appTerm
5541
def
5496
ref
appTerm
nil
cons
5542
def
cons
nil
cons
cons
nil
cons
cons
5543
def
113
ref
subst
proveHyp
5543
ref
62
ref
subst
5543
remove
126
ref
subst
5534
ref
62
ref
subst
5534
remove
126
ref
subst
nil
5525
ref
534
remove
cons
nil
cons
cons
113
ref
subst
5535
remove
assume
eqMp
5544
def
5531
remove
113
ref
subst
5529
remove
assume
eqMp
5545
def
5544
remove
proveHyp
proveHyp
nil
5525
remove
44
ref
5508
remove
nil
cons
5546
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
5509
remove
assume
eqMp
5547
def
nil
43
ref
5546
remove
cons
5548
def
44
ref
527
remove
5496
ref
appTerm
5549
def
nil
cons
5550
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
530
remove
5527
ref
cons
nil
cons
cons
5551
def
1172
remove
subst
eqMp
5552
def
nil
43
ref
5550
ref
cons
5553
def
5527
remove
cons
nil
cons
cons
5554
def
113
ref
subst
proveHyp
5547
remove
nil
5548
remove
44
ref
45
ref
5496
ref
appTerm
48
ref
appTerm
5555
def
nil
cons
5556
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5551
ref
5538
remove
subst
eqMp
5557
def
nil
43
ref
5556
ref
cons
5558
def
44
ref
45
ref
5549
ref
appTerm
5559
def
5496
remove
appTerm
nil
cons
5560
def
cons
nil
cons
cons
nil
cons
cons
5561
def
113
ref
subst
proveHyp
5561
ref
62
ref
subst
5561
remove
126
ref
subst
5554
ref
62
ref
subst
5554
remove
126
ref
subst
112
remove
5551
remove
113
ref
subst
5549
remove
assume
eqMp
proveHyp
eqMp
nil
88
ref
5550
remove
cons
5562
def
90
ref
5526
ref
cons
nil
cons
5563
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
5556
remove
cons
5564
def
90
ref
5560
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
88
ref
5530
remove
cons
5565
def
5563
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
5536
remove
cons
5566
def
90
ref
5542
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
88
ref
5524
ref
cons
5563
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
535
remove
90
ref
5522
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
3161
remove
5501
ref
appTerm
nil
cons
cons
44
ref
45
ref
5501
ref
appTerm
49
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
5522
ref
cons
1168
remove
cons
nil
cons
cons
5567
def
62
ref
subst
5567
remove
126
ref
subst
62
ref
126
ref
5532
remove
nil
5533
remove
531
ref
cons
nil
cons
cons
5568
def
113
ref
subst
proveHyp
5539
remove
nil
5540
remove
44
ref
5541
remove
48
ref
appTerm
nil
cons
5569
def
cons
nil
cons
cons
nil
cons
cons
5570
def
113
ref
subst
proveHyp
5570
ref
62
ref
subst
5570
remove
126
ref
subst
5568
ref
62
ref
subst
5568
remove
126
ref
subst
5545
remove
5552
remove
nil
5553
remove
531
ref
cons
nil
cons
cons
5571
def
113
ref
subst
proveHyp
5557
remove
nil
5558
remove
44
ref
5559
remove
48
remove
appTerm
nil
cons
5572
def
cons
nil
cons
cons
nil
cons
cons
5573
def
113
ref
subst
proveHyp
5573
ref
62
ref
subst
5573
remove
126
ref
subst
5571
ref
62
ref
subst
5571
remove
126
ref
subst
5528
remove
113
ref
subst
5501
remove
assume
eqMp
nil
43
ref
5526
ref
cons
531
remove
cons
nil
cons
cons
113
ref
subst
5555
remove
assume
eqMp
proveHyp
eqMp
nil
5562
remove
91
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
5564
remove
90
ref
5572
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
5565
remove
91
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
5566
remove
90
ref
5569
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
105
remove
deductAntisym
eqMp
eqMp
nil
88
ref
5522
remove
cons
1171
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
88
ref
5519
remove
cons
90
ref
5520
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
nil
88
ref
5515
remove
cons
90
ref
5517
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
43
ref
334
ref
5505
ref
appTerm
nil
cons
cons
44
ref
5506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
5505
remove
nil
cons
cons
338
ref
5524
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5504
remove
nil
cons
cons
44
ref
5503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
5502
remove
nil
cons
cons
338
ref
5526
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
5458
remove
759
remove
subst
trans
sym
81
ref
eqMp
5574
def
subst
eqMp
eqMp
nil
43
ref
118
ref
5404
ref
appTerm
nil
cons
cons
44
ref
5405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5404
remove
nil
cons
cons
33
ref
5350
ref
nil
cons
cons
nil
cons
5575
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5403
remove
nil
cons
cons
44
ref
5402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3779
ref
3780
ref
5401
remove
nil
cons
cons
3781
ref
5351
ref
nil
cons
cons
nil
cons
5576
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
5393
remove
5338
ref
5347
ref
34
ref
5308
remove
0
ref
0
ref
0
ref
5339
ref
11
ref
cons
opType
5577
def
17
ref
cons
opType
5578
def
5577
ref
nil
cons
5579
def
cons
opType
constTerm
"fn"
5577
remove
var
5580
def
118
ref
5346
ref
27
ref
5347
ref
34
ref
5580
ref
varTerm
5352
ref
appTerm
appTerm
5581
def
5351
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5582
def
appTerm
5583
def
5352
ref
appTerm
appTerm
5351
ref
appTerm
absTerm
5584
def
5351
ref
appTerm
5585
def
betaConv
5346
ref
27
ref
5584
ref
appTerm
5586
def
absTerm
5587
def
5350
ref
appTerm
5588
def
betaConv
5582
ref
5583
remove
appTerm
5589
def
betaConv
29
ref
0
ref
5578
ref
17
ref
cons
opType
constTerm
5590
def
refl
5580
remove
1404
remove
5346
ref
5408
remove
5347
ref
5581
remove
refl
5346
ref
5347
ref
5351
ref
absTerm
5591
def
absTerm
5592
def
5350
ref
appTerm
betaConv
5411
remove
appThm
5591
remove
5351
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
11
ref
cons
nil
cons
"_1343"
0
ref
9
ref
0
ref
10
ref
11
remove
cons
opType
nil
cons
cons
opType
var
5592
remove
nil
cons
cons
nil
cons
nil
cons
cons
5447
remove
subst
eqMp
nil
43
ref
5590
remove
5582
ref
appTerm
nil
cons
cons
44
ref
5589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
5579
remove
cons
nil
cons
"p"
5578
remove
var
5582
remove
nil
cons
cons
nil
cons
nil
cons
cons
5574
ref
subst
eqMp
eqMp
nil
43
ref
118
ref
5587
ref
appTerm
nil
cons
cons
44
ref
5588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5587
remove
nil
cons
cons
5575
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5586
remove
nil
cons
cons
44
ref
5585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3779
ref
3780
ref
5584
remove
nil
cons
cons
5576
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
5310
remove
cons
nil
cons
5593
def
"P"
5309
ref
var
5363
ref
nil
cons
5594
def
cons
"x"
5305
remove
var
5377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
29
remove
0
ref
5309
ref
17
ref
cons
opType
constTerm
5363
remove
appTerm
nil
cons
cons
44
ref
5370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
"p"
5309
remove
var
5594
remove
cons
nil
cons
nil
cons
cons
5593
remove
8
remove
cons
5574
remove
subst
subst
eqMp
eqMp
nil
43
ref
299
ref
5368
ref
appTerm
nil
cons
cons
44
ref
5369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5368
remove
nil
cons
cons
304
ref
976
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5367
remove
nil
cons
cons
44
ref
5366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5365
remove
nil
cons
cons
3330
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5595
def
subst
5596
def
appThm
appThm
nil
3804
ref
5321
ref
nil
cons
cons
5597
def
3760
ref
5320
ref
nil
cons
cons
5598
def
1566
ref
3136
remove
cons
3135
ref
cons
cons
cons
nil
cons
cons
5338
ref
"t"
3765
ref
var
5599
def
20
ref
3734
remove
0
ref
5339
ref
0
ref
3708
remove
5348
remove
opType
5600
def
17
ref
cons
opType
5601
def
nil
cons
cons
opType
constTerm
5349
ref
36
ref
appTerm
35
ref
appTerm
appTerm
5317
remove
0
ref
3724
remove
0
ref
3765
ref
5600
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
3731
ref
appTerm
5599
ref
varTerm
5602
def
appTerm
5603
def
appTerm
appTerm
4600
remove
3767
remove
5602
ref
appTerm
appTerm
appTerm
absTerm
5604
def
5602
ref
appTerm
5605
def
betaConv
3730
ref
24
ref
0
ref
3766
ref
17
remove
cons
opType
constTerm
5606
def
5604
ref
appTerm
5607
def
absTerm
5608
def
3731
ref
appTerm
5609
def
betaConv
28
remove
3743
ref
5608
ref
appTerm
5610
def
absTerm
5611
def
35
remove
appTerm
5612
def
betaConv
33
ref
27
ref
5611
ref
appTerm
5613
def
absTerm
5614
def
36
ref
appTerm
5615
def
betaConv
nil
118
ref
5614
ref
appTerm
5616
def
axiom
nil
43
ref
5616
remove
nil
cons
cons
44
ref
5615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5614
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5613
remove
nil
cons
cons
44
ref
5612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3779
ref
3780
ref
5611
remove
nil
cons
cons
3782
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5610
remove
nil
cons
cons
44
ref
5609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5608
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5607
remove
nil
cons
cons
44
ref
5605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
"A"
3768
remove
cons
nil
cons
5617
def
"P"
3766
remove
var
5618
def
5604
remove
nil
cons
cons
"x"
3765
remove
var
5602
ref
nil
cons
cons
nil
cons
5619
def
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
5620
def
subst
291
ref
92
ref
3838
ref
2453
ref
appTerm
refl
3841
ref
3719
ref
1430
ref
190
ref
5318
ref
refl
5621
def
190
ref
5319
ref
absTerm
5622
def
206
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
5623
def
appThm
appThm
5622
ref
2453
ref
appTerm
betaConv
appThm
nil
1068
ref
5622
ref
nil
cons
cons
5624
def
3135
remove
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
92
ref
3838
ref
3125
ref
appTerm
refl
4856
ref
appThm
appThm
191
ref
461
ref
absTerm
5625
def
3125
ref
appTerm
betaConv
appThm
nil
1068
ref
5625
ref
nil
cons
cons
5626
def
3137
remove
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
trans
5627
def
appThm
absThm
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
303
ref
192
ref
20
ref
4619
remove
appTerm
372
ref
2451
ref
372
ref
3122
ref
51
ref
662
ref
202
ref
3125
ref
appTerm
5628
def
205
ref
2453
ref
appTerm
214
ref
appTerm
appTerm
appTerm
appTerm
51
ref
51
ref
465
ref
295
ref
2453
ref
appTerm
209
ref
appTerm
appTerm
appTerm
239
ref
2453
ref
appTerm
457
ref
appTerm
appTerm
appTerm
239
ref
3125
ref
appTerm
231
ref
appTerm
5629
def
appTerm
appTerm
absTerm
5630
def
appTerm
absTerm
5631
def
appTerm
5632
def
appTerm
5633
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
nil
75
ref
5633
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
92
ref
4818
remove
4618
ref
refl
appThm
appThm
5632
ref
refl
5634
def
appThm
sym
nil
4862
ref
44
ref
20
ref
4863
remove
4618
ref
appTerm
appTerm
5632
ref
appTerm
nil
cons
5635
def
cons
nil
cons
5636
def
cons
nil
cons
cons
5637
def
62
ref
subst
5637
remove
126
ref
subst
92
ref
4885
remove
810
ref
4879
remove
appThm
811
ref
trans
5638
def
appThm
4888
remove
560
ref
subst
trans
appThm
5634
ref
appThm
sym
nil
43
ref
4887
ref
cons
44
ref
5632
ref
nil
cons
5639
def
cons
nil
cons
cons
nil
cons
cons
5640
def
538
ref
subst
5640
ref
62
ref
subst
5640
remove
126
ref
subst
nil
3950
remove
3955
remove
cons
nil
cons
cons
5641
def
104
ref
subst
5641
remove
392
ref
subst
5631
ref
414
ref
appTerm
betaConv
sym
3122
ref
51
ref
662
ref
5628
ref
449
remove
appTerm
appTerm
appTerm
51
ref
51
ref
4618
ref
appTerm
485
ref
appTerm
appTerm
5629
ref
appTerm
appTerm
absTerm
5642
def
399
ref
appTerm
betaConv
sym
51
ref
662
ref
450
remove
appTerm
5643
def
appTerm
refl
291
ref
291
ref
5638
ref
appThm
nil
75
ref
3949
remove
cons
nil
cons
nil
cons
cons
5644
def
82
ref
subst
485
ref
assume
eqMp
appThm
342
ref
trans
appThm
4884
remove
82
ref
subst
3938
ref
assume
eqMp
5645
def
appThm
342
ref
trans
appThm
nil
75
ref
5643
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
2195
remove
445
remove
appThm
2559
remove
trans
sym
81
ref
eqMp
eqMp
eqMp
302
ref
303
ref
5642
remove
nil
cons
cons
3704
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
eqMp
302
ref
303
ref
5631
ref
nil
cons
5646
def
cons
5647
def
3702
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
4887
ref
cons
90
ref
5639
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
45
ref
4886
ref
appTerm
5632
ref
appTerm
nil
cons
cons
44
ref
45
ref
5632
remove
appTerm
4886
ref
appTerm
nil
cons
cons
nil
cons
5648
def
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
303
ref
190
ref
45
ref
5631
ref
206
ref
appTerm
5649
def
appTerm
4886
ref
appTerm
5650
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
5650
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5649
ref
nil
cons
5651
def
cons
44
ref
4887
ref
cons
nil
cons
5652
def
cons
nil
cons
cons
5653
def
62
ref
subst
5653
remove
126
ref
subst
5649
ref
betaConv
5649
remove
assume
eqMp
nil
43
ref
372
ref
3122
ref
51
ref
662
ref
5628
ref
215
remove
appTerm
appTerm
appTerm
51
ref
5319
ref
appTerm
5654
def
5629
ref
appTerm
appTerm
5655
def
absTerm
5656
def
appTerm
5657
def
nil
cons
cons
5652
ref
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
303
ref
191
ref
45
ref
5656
ref
203
ref
appTerm
5658
def
appTerm
4886
ref
appTerm
5659
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
191
ref
nil
75
ref
5659
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5658
ref
nil
cons
5660
def
cons
5652
ref
cons
nil
cons
cons
5661
def
62
ref
subst
5661
remove
126
ref
subst
5658
ref
betaConv
5658
remove
assume
eqMp
nil
43
ref
51
ref
662
remove
216
ref
appTerm
5662
def
appTerm
5654
remove
461
remove
appTerm
5663
def
appTerm
5664
def
nil
cons
5665
def
cons
5666
def
5652
remove
cons
nil
cons
cons
5667
def
113
ref
subst
proveHyp
5667
ref
62
ref
subst
5667
remove
126
ref
subst
nil
88
ref
5662
ref
nil
cons
cons
90
ref
5663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5668
def
104
ref
subst
5669
def
5668
remove
392
ref
subst
5670
def
nil
88
ref
5319
ref
nil
cons
5671
def
cons
5672
def
567
remove
cons
nil
cons
cons
5673
def
104
ref
subst
5674
def
5673
remove
392
ref
subst
nil
3168
remove
90
ref
565
ref
cons
nil
cons
5675
def
cons
nil
cons
cons
5676
def
392
ref
subst
5677
def
20
ref
"_32820"
186
ref
var
5678
def
51
ref
239
ref
413
ref
5678
remove
varTerm
5679
def
appTerm
appTerm
457
ref
appTerm
appTerm
239
ref
398
ref
5679
remove
appTerm
appTerm
231
ref
appTerm
appTerm
absTerm
5680
def
195
ref
appTerm
5681
def
appTerm
refl
5680
ref
216
ref
appTerm
betaConv
appThm
92
ref
5681
remove
betaConv
appThm
51
ref
239
ref
413
remove
216
ref
appTerm
appTerm
457
ref
appTerm
appTerm
239
ref
398
remove
216
ref
appTerm
appTerm
231
ref
appTerm
appTerm
refl
appThm
trans
5680
remove
refl
5662
remove
assume
5682
def
appThm
eqMp
sym
291
ref
2255
ref
nil
192
ref
3158
remove
cons
nil
cons
nil
cons
cons
5683
def
424
remove
subst
nil
3881
ref
189
ref
976
remove
cons
188
ref
593
remove
cons
nil
cons
5684
def
cons
cons
nil
cons
cons
5685
def
426
ref
295
ref
416
ref
245
remove
3970
remove
appTerm
5686
def
appTerm
427
ref
appTerm
appTerm
202
ref
416
ref
240
ref
appTerm
427
ref
appTerm
appTerm
219
ref
appTerm
appTerm
absTerm
5687
def
427
ref
appTerm
5688
def
betaConv
189
ref
299
ref
5687
ref
appTerm
5689
def
absTerm
5690
def
219
ref
appTerm
5691
def
betaConv
188
ref
299
ref
5690
ref
appTerm
5692
def
absTerm
5693
def
240
ref
appTerm
5694
def
betaConv
nil
299
ref
5693
ref
appTerm
5695
def
axiom
nil
43
ref
5695
remove
nil
cons
cons
44
ref
5694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5693
remove
nil
cons
cons
3982
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5692
remove
nil
cons
cons
44
ref
5691
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5690
remove
nil
cons
cons
3984
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5689
remove
nil
cons
cons
44
ref
5688
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5687
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5696
def
subst
5697
def
trans
appThm
3173
ref
appThm
appThm
2255
ref
5683
remove
411
remove
subst
5685
remove
426
ref
295
ref
401
ref
5686
remove
appTerm
427
ref
appTerm
appTerm
401
ref
240
ref
appTerm
427
ref
appTerm
appTerm
absTerm
5698
def
427
ref
appTerm
5699
def
betaConv
189
ref
299
ref
5698
ref
appTerm
5700
def
absTerm
5701
def
219
ref
appTerm
5702
def
betaConv
188
ref
299
ref
5701
ref
appTerm
5703
def
absTerm
5704
def
240
ref
appTerm
5705
def
betaConv
nil
299
ref
5704
ref
appTerm
5706
def
axiom
nil
43
ref
5706
remove
nil
cons
cons
44
ref
5705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5704
remove
nil
cons
cons
3982
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5703
remove
nil
cons
cons
44
ref
5702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5701
remove
nil
cons
cons
3984
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5700
remove
nil
cons
cons
44
ref
5699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5698
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5707
def
subst
trans
appThm
2102
ref
appThm
appThm
sym
426
ref
295
ref
202
ref
401
ref
203
ref
appTerm
5708
def
427
ref
appTerm
appTerm
205
ref
416
ref
203
ref
appTerm
5709
def
427
ref
appTerm
appTerm
427
ref
appTerm
appTerm
appTerm
203
ref
appTerm
absTerm
5710
def
214
ref
appTerm
5711
def
betaConv
433
ref
203
ref
appTerm
5712
def
betaConv
436
ref
nil
437
ref
44
ref
5712
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
438
ref
3330
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
5710
ref
appTerm
nil
cons
cons
44
ref
5711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5710
remove
nil
cons
cons
443
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
295
ref
202
ref
5708
remove
214
ref
appTerm
5713
def
appTerm
205
ref
5709
remove
214
ref
appTerm
5714
def
appTerm
214
ref
appTerm
5715
def
appTerm
5716
def
appTerm
5717
def
203
ref
appTerm
5718
def
nil
cons
5719
def
cons
44
ref
295
ref
5713
ref
appTerm
5720
def
203
ref
appTerm
5721
def
nil
cons
5722
def
cons
nil
cons
cons
nil
cons
cons
5723
def
113
ref
subst
proveHyp
5723
ref
62
ref
subst
5723
remove
126
ref
subst
5720
ref
refl
5718
remove
assume
sym
appThm
sym
nil
192
ref
5715
remove
nil
cons
cons
581
ref
5713
ref
nil
cons
5724
def
cons
nil
cons
cons
nil
cons
cons
3144
ref
subst
nil
3881
ref
192
ref
5714
ref
nil
cons
5725
def
cons
nil
cons
cons
nil
cons
cons
192
ref
20
ref
3999
remove
209
ref
appTerm
appTerm
1095
ref
appTerm
absTerm
5726
def
195
ref
appTerm
5727
def
betaConv
426
ref
299
ref
5726
ref
appTerm
5728
def
absTerm
5729
def
427
ref
appTerm
5730
def
betaConv
nil
299
ref
5729
ref
appTerm
5731
def
axiom
nil
43
ref
5731
remove
nil
cons
cons
44
ref
5730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5729
remove
nil
cons
cons
3883
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5728
remove
nil
cons
cons
44
ref
5727
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5726
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5732
def
subst
nil
3881
ref
2264
remove
cons
nil
cons
cons
5733
def
4910
ref
subst
trans
trans
sym
466
ref
4493
ref
203
ref
appTerm
appTerm
5734
def
refl
426
ref
295
ref
4493
ref
5225
ref
4002
remove
appTerm
210
ref
appTerm
appTerm
appTerm
427
ref
appTerm
absTerm
5735
def
214
ref
appTerm
5736
def
betaConv
nil
299
ref
5735
ref
appTerm
5737
def
axiom
nil
43
ref
5737
remove
nil
cons
cons
44
ref
5736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5735
remove
nil
cons
cons
443
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
sym
5738
def
appThm
sym
192
ref
3622
remove
570
remove
5225
ref
4303
remove
appTerm
210
ref
appTerm
5739
def
appTerm
5740
def
appTerm
absTerm
5741
def
231
ref
appTerm
betaConv
sym
291
ref
2271
ref
appThm
569
remove
5739
ref
appTerm
5742
def
refl
5743
def
appThm
nil
75
ref
5742
remove
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
5744
def
trans
sym
579
remove
5284
ref
4346
remove
appThm
210
ref
refl
appThm
nil
3025
remove
998
ref
4352
remove
cons
cons
nil
cons
cons
2541
remove
306
ref
2542
remove
2311
ref
subst
1708
ref
1008
ref
2544
remove
appThm
2547
remove
trans
appThm
trans
appThm
1720
remove
appThm
2553
remove
trans
appThm
2554
remove
trans
sym
81
ref
eqMp
subst
nil
3357
remove
998
ref
4306
remove
cons
cons
nil
cons
cons
2555
ref
subst
3362
remove
2555
remove
subst
3370
remove
eqMp
eqMp
eqMp
nil
43
ref
295
ref
202
ref
208
ref
230
remove
appTerm
5745
def
appTerm
210
ref
appTerm
appTerm
4009
ref
appTerm
nil
cons
cons
44
ref
295
ref
5225
ref
4009
remove
appTerm
210
ref
appTerm
appTerm
5745
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
581
ref
5745
remove
nil
cons
5746
def
cons
4011
remove
1753
ref
cons
cons
nil
cons
cons
5299
ref
subst
eqMp
trans
appThm
nil
3342
ref
nil
cons
nil
cons
cons
nil
2424
ref
1083
remove
cons
nil
cons
cons
2124
ref
subst
2099
ref
2429
remove
1213
remove
subst
appThm
trans
subst
5747
def
nil
2518
ref
595
ref
957
ref
5746
remove
cons
nil
cons
cons
cons
nil
cons
cons
2180
remove
subst
deductAntisym
5747
remove
eqMp
trans
sym
81
ref
eqMp
5748
def
eqMp
eqMp
302
ref
303
ref
5741
ref
nil
cons
cons
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5741
remove
appTerm
nil
cons
cons
44
ref
460
remove
5739
ref
appTerm
nil
cons
5749
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
957
ref
5739
ref
nil
cons
5750
def
cons
5751
def
960
ref
cons
nil
cons
cons
2724
ref
subst
eqMp
nil
43
ref
5749
remove
cons
44
ref
466
ref
203
ref
appTerm
5739
ref
appTerm
nil
cons
5752
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
192
ref
5750
ref
cons
5753
def
960
remove
cons
nil
cons
cons
192
ref
2939
remove
1106
remove
appTerm
absTerm
5754
def
195
ref
appTerm
5755
def
betaConv
581
ref
299
ref
5754
ref
appTerm
5756
def
absTerm
5757
def
585
ref
appTerm
5758
def
betaConv
nil
299
ref
5757
ref
appTerm
5759
def
axiom
nil
43
ref
5759
remove
nil
cons
cons
44
ref
5758
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5757
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5756
remove
nil
cons
cons
44
ref
5755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5754
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5760
def
subst
eqMp
nil
43
ref
5752
remove
cons
44
ref
5734
remove
4493
ref
5739
ref
appTerm
5761
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
189
ref
5750
remove
cons
5762
def
5684
remove
cons
nil
cons
cons
189
ref
45
ref
3971
remove
appTerm
466
ref
4493
ref
240
ref
appTerm
appTerm
4493
ref
219
ref
appTerm
appTerm
appTerm
absTerm
5763
def
219
remove
appTerm
5764
def
betaConv
188
ref
299
ref
5763
ref
appTerm
5765
def
absTerm
5766
def
240
remove
appTerm
5767
def
betaConv
nil
299
ref
5766
ref
appTerm
5768
def
axiom
nil
43
ref
5768
remove
nil
cons
cons
44
ref
5767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5766
remove
nil
cons
cons
3982
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5765
remove
nil
cons
cons
44
ref
5764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5763
remove
nil
cons
cons
3984
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5769
def
subst
eqMp
eqMp
eqMp
nil
43
ref
5717
remove
5713
ref
appTerm
nil
cons
cons
44
ref
5720
remove
5716
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
304
ref
5716
remove
nil
cons
cons
1566
ref
5724
remove
cons
nil
cons
cons
nil
cons
cons
2408
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
5719
remove
cons
90
ref
5722
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
51
ref
239
ref
202
ref
5714
ref
appTerm
206
ref
appTerm
appTerm
457
ref
appTerm
5770
def
appTerm
refl
2255
ref
5721
remove
assume
5771
def
appThm
2102
remove
appThm
2271
remove
trans
appThm
nil
75
ref
5770
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
20
ref
"_32828"
186
ref
var
5772
def
239
ref
202
ref
416
ref
5772
remove
varTerm
appTerm
214
ref
appTerm
appTerm
206
ref
appTerm
appTerm
457
ref
appTerm
absTerm
5773
def
203
remove
appTerm
5774
def
appTerm
refl
5773
ref
5713
ref
appTerm
betaConv
appThm
92
ref
5774
remove
betaConv
appThm
239
ref
202
ref
416
ref
5713
remove
appTerm
214
ref
appTerm
appTerm
206
ref
appTerm
appTerm
457
ref
appTerm
refl
appThm
trans
5773
remove
refl
5771
remove
sym
appThm
eqMp
sym
2255
remove
397
ref
5733
remove
426
ref
295
ref
416
ref
428
remove
appTerm
427
ref
appTerm
appTerm
209
ref
appTerm
absTerm
5775
def
427
ref
appTerm
5776
def
betaConv
192
ref
299
ref
5775
ref
appTerm
5777
def
absTerm
5778
def
195
ref
appTerm
5779
def
betaConv
nil
299
ref
5778
ref
appTerm
5780
def
axiom
nil
43
ref
5780
remove
nil
cons
cons
44
ref
5779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5778
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5777
remove
nil
cons
cons
44
ref
5776
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5775
remove
nil
cons
cons
3883
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
5781
def
subst
appThm
1080
remove
appThm
1093
remove
1024
ref
subst
trans
appThm
3173
remove
appThm
2657
ref
trans
sym
81
ref
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
5665
ref
cons
5782
def
90
ref
4887
remove
cons
nil
cons
5783
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
88
ref
5660
remove
cons
5783
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
5656
ref
1154
ref
appTerm
appTerm
4886
ref
appTerm
absTerm
appTerm
nil
cons
cons
44
ref
45
ref
5657
remove
appTerm
4886
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5656
remove
nil
cons
cons
5783
ref
cons
nil
cons
cons
1173
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
5651
remove
cons
5783
ref
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
43
ref
299
ref
304
ref
45
ref
5631
ref
1154
ref
appTerm
appTerm
4886
remove
appTerm
absTerm
appTerm
nil
cons
cons
5648
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
5647
remove
5783
remove
cons
nil
cons
cons
1173
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
4960
ref
90
ref
5635
ref
cons
nil
cons
5784
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4962
ref
5636
remove
cons
nil
cons
cons
5785
def
62
ref
subst
5785
remove
126
ref
subst
92
ref
4968
remove
810
ref
4966
remove
appThm
820
remove
trans
5786
def
appThm
4969
remove
4680
ref
subst
trans
appThm
5634
remove
appThm
nil
75
ref
5639
remove
cons
nil
cons
nil
cons
cons
831
remove
subst
92
ref
810
ref
1430
ref
2451
ref
5631
remove
2453
remove
appTerm
betaConv
5787
def
absThm
appThm
appThm
appThm
649
ref
2451
ref
810
ref
5787
remove
appThm
absThm
appThm
appThm
nil
1068
ref
5646
remove
cons
nil
cons
nil
cons
cons
320
ref
3118
remove
subst
5788
def
subst
eqMp
649
ref
2451
ref
92
ref
810
ref
1430
ref
3122
ref
5630
ref
3125
ref
appTerm
betaConv
5789
def
absThm
appThm
appThm
appThm
649
ref
3122
ref
810
ref
5789
remove
appThm
absThm
appThm
appThm
nil
1068
ref
5630
remove
nil
cons
cons
nil
cons
nil
cons
cons
5788
remove
subst
eqMp
absThm
appThm
trans
trans
trans
sym
nil
303
ref
190
ref
299
ref
3122
ref
465
ref
5655
remove
appTerm
absTerm
appTerm
5790
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
5790
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
191
ref
465
ref
5664
remove
appTerm
5791
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
191
ref
nil
75
ref
5791
remove
nil
cons
5792
def
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
4962
ref
44
ref
5792
ref
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
849
ref
5792
remove
cons
848
ref
4700
remove
cons
nil
cons
cons
nil
cons
cons
848
ref
20
ref
4892
remove
appTerm
4891
remove
appTerm
5793
def
absTerm
5794
def
853
remove
appTerm
5795
def
betaConv
849
ref
334
ref
5794
ref
appTerm
5796
def
absTerm
5797
def
851
remove
appTerm
5798
def
betaConv
868
ref
849
ref
868
remove
848
ref
5793
remove
assume
sym
4893
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
4900
remove
eqMp
nil
43
ref
334
remove
5797
ref
appTerm
nil
cons
cons
44
ref
5798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
ref
5797
remove
nil
cons
cons
870
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5796
remove
nil
cons
cons
44
ref
5795
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
336
ref
337
remove
5794
remove
nil
cons
cons
871
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
sym
454
ref
nil
75
ref
5665
remove
cons
nil
cons
nil
cons
cons
615
remove
subst
appThm
810
ref
4902
remove
appThm
appThm
sym
nil
5666
remove
44
ref
465
ref
4975
remove
209
ref
appTerm
appTerm
nil
cons
5799
def
cons
nil
cons
cons
nil
cons
cons
5800
def
62
ref
subst
5800
remove
126
ref
subst
5669
remove
5670
remove
5674
remove
5676
remove
104
ref
subst
5801
def
20
ref
"_32812"
186
ref
var
5802
def
465
ref
295
ref
416
ref
5802
remove
varTerm
appTerm
214
ref
appTerm
appTerm
209
ref
appTerm
appTerm
absTerm
5803
def
195
ref
appTerm
5804
def
appTerm
refl
5803
ref
216
ref
appTerm
betaConv
appThm
92
ref
5804
remove
betaConv
appThm
465
ref
295
ref
416
ref
216
remove
appTerm
214
ref
appTerm
appTerm
209
ref
appTerm
appTerm
refl
appThm
trans
5803
remove
refl
5682
remove
appThm
eqMp
sym
810
ref
306
ref
5697
remove
appThm
1205
remove
appThm
nil
1081
remove
581
ref
5725
remove
cons
nil
cons
cons
nil
cons
cons
192
ref
20
ref
629
remove
209
ref
appTerm
appTerm
51
ref
983
remove
appTerm
1095
remove
appTerm
appTerm
absTerm
5805
def
195
ref
appTerm
5806
def
betaConv
581
ref
299
ref
5805
ref
appTerm
5807
def
absTerm
5808
def
585
ref
appTerm
5809
def
betaConv
nil
299
ref
5808
ref
appTerm
5810
def
axiom
nil
43
ref
5810
remove
nil
cons
cons
44
ref
5809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5808
remove
nil
cons
cons
591
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5807
remove
nil
cons
cons
44
ref
5806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5805
remove
nil
cons
cons
410
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
51
ref
295
ref
5714
remove
appTerm
209
ref
appTerm
5811
def
appTerm
refl
549
remove
appThm
nil
75
ref
5811
remove
nil
cons
cons
nil
cons
nil
cons
cons
4680
ref
subst
trans
trans
trans
appThm
811
remove
trans
sym
81
ref
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
5782
remove
90
ref
5799
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
4878
ref
5784
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
5096
ref
nil
4878
ref
4734
ref
778
ref
5635
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
20
ref
"_32798"
3715
ref
var
5812
def
295
ref
4574
ref
5812
remove
varTerm
appTerm
appTerm
4309
remove
231
ref
appTerm
5813
def
appTerm
absTerm
5814
def
4620
ref
appTerm
5815
def
appTerm
refl
5814
ref
5323
ref
appTerm
betaConv
appThm
92
ref
5815
remove
betaConv
appThm
295
ref
4574
ref
5323
ref
appTerm
5816
def
appTerm
5817
def
5813
ref
appTerm
5818
def
refl
appThm
trans
5814
remove
refl
4708
ref
4620
remove
appTerm
5323
remove
appTerm
assume
appThm
eqMp
sym
1566
ref
51
ref
5817
ref
1569
ref
appTerm
appTerm
1576
ref
5813
ref
appTerm
5819
def
appTerm
absTerm
5820
def
4568
ref
0
ref
5307
remove
198
ref
cons
opType
constTerm
5322
ref
appTerm
5821
def
appTerm
betaConv
sym
92
ref
24
ref
5328
remove
constTerm
5822
def
refl
5823
def
5329
ref
5329
remove
5822
ref
"y"
5304
ref
var
5824
def
45
ref
51
ref
5334
remove
appTerm
51
ref
5333
ref
5824
ref
varTerm
5825
def
appTerm
5322
ref
appTerm
appTerm
5826
def
295
ref
5331
remove
appTerm
5316
ref
5825
ref
appTerm
5827
def
appTerm
appTerm
appTerm
appTerm
15
ref
0
ref
5304
remove
5327
remove
nil
cons
cons
opType
constTerm
5828
def
5330
ref
appTerm
5825
ref
appTerm
appTerm
absTerm
appTerm
absTerm
5829
def
5330
remove
appTerm
betaConv
absThm
appThm
appThm
649
ref
2451
ref
649
ref
3122
ref
5829
ref
5336
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
5337
ref
5829
ref
nil
cons
cons
nil
cons
nil
cons
cons
5338
ref
5341
remove
20
ref
24
remove
5342
remove
constTerm
5345
remove
appTerm
appTerm
118
ref
5346
ref
27
ref
5353
remove
appTerm
absTerm
appTerm
appTerm
absTerm
5830
def
5344
remove
appTerm
5831
def
betaConv
nil
5356
remove
5830
ref
appTerm
5832
def
axiom
nil
43
ref
5832
remove
nil
cons
cons
44
ref
5831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5359
remove
5360
remove
5830
remove
nil
cons
cons
5361
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
5833
def
subst
eqMp
649
ref
2451
remove
649
ref
3122
ref
92
ref
5823
remove
5824
ref
5824
remove
45
ref
51
ref
5333
remove
5336
ref
appTerm
5322
ref
appTerm
appTerm
5826
remove
295
ref
5316
remove
5336
ref
appTerm
appTerm
5827
remove
appTerm
appTerm
appTerm
appTerm
5828
remove
5336
remove
appTerm
5825
ref
appTerm
appTerm
absTerm
5834
def
5825
remove
appTerm
betaConv
absThm
appThm
appThm
649
ref
"a'"
186
ref
var
5835
def
649
ref
"b'"
186
ref
var
5836
def
5834
ref
5314
remove
5835
ref
varTerm
5837
def
appTerm
5836
ref
varTerm
5838
def
appTerm
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
5337
remove
5834
remove
nil
cons
cons
nil
cons
nil
cons
cons
5833
remove
subst
eqMp
649
ref
5835
ref
649
ref
5836
ref
454
ref
291
ref
5627
remove
appThm
291
ref
nil
5597
ref
5598
ref
1566
ref
5838
ref
nil
cons
5839
def
cons
304
ref
5837
ref
nil
cons
5840
def
cons
nil
cons
5841
def
cons
cons
cons
nil
cons
cons
5620
remove
subst
291
ref
92
ref
3838
ref
5837
ref
appTerm
refl
5623
ref
appThm
appThm
5622
ref
5837
ref
appTerm
betaConv
appThm
nil
5624
ref
5841
remove
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
92
ref
3838
remove
5838
ref
appTerm
refl
4856
remove
appThm
appThm
5625
remove
5838
ref
appTerm
betaConv
appThm
nil
5626
remove
304
ref
5839
ref
cons
nil
cons
cons
nil
cons
cons
3794
ref
subst
eqMp
appThm
trans
appThm
306
ref
5596
remove
appThm
nil
191
ref
5839
remove
cons
190
ref
5840
remove
cons
nil
cons
cons
nil
cons
cons
5595
remove
subst
appThm
appThm
appThm
appThm
5338
ref
"b'"
10
remove
var
5842
def
20
ref
15
remove
0
ref
5339
remove
5358
remove
cons
opType
constTerm
5352
remove
appTerm
5349
remove
"a'"
9
ref
var
5843
def
varTerm
5844
def
appTerm
5842
remove
varTerm
5845
def
appTerm
appTerm
appTerm
51
ref
154
remove
5350
ref
appTerm
5844
ref
appTerm
appTerm
34
remove
5351
ref
appTerm
5845
ref
appTerm
appTerm
appTerm
absTerm
5846
def
5845
ref
appTerm
5847
def
betaConv
5843
remove
27
ref
5846
ref
appTerm
5848
def
absTerm
5849
def
5844
ref
appTerm
5850
def
betaConv
5347
remove
118
ref
5849
ref
appTerm
5851
def
absTerm
5852
def
5351
remove
appTerm
5853
def
betaConv
5346
remove
27
remove
5852
ref
appTerm
5854
def
absTerm
5855
def
5350
remove
appTerm
5856
def
betaConv
nil
118
ref
5855
ref
appTerm
5857
def
axiom
nil
43
ref
5857
remove
nil
cons
cons
44
ref
5856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5855
remove
nil
cons
cons
5575
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5854
remove
nil
cons
cons
44
ref
5853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3779
ref
3780
ref
5852
remove
nil
cons
cons
5576
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5851
remove
nil
cons
cons
44
ref
5850
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
5849
remove
nil
cons
cons
33
ref
5844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5848
remove
nil
cons
cons
44
ref
5847
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3779
remove
3780
remove
5846
remove
nil
cons
cons
3781
remove
5845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
appThm
absThm
appThm
absThm
appThm
trans
absThm
appThm
absThm
appThm
trans
sym
nil
303
ref
"pl1"
186
ref
var
5858
def
299
ref
3122
remove
299
ref
5835
ref
299
ref
5836
ref
45
ref
51
ref
51
ref
51
ref
465
ref
295
ref
5858
ref
varTerm
5859
def
appTerm
5860
def
209
ref
appTerm
appTerm
appTerm
239
ref
5859
ref
appTerm
457
ref
appTerm
appTerm
5861
def
appTerm
5862
def
5629
remove
appTerm
appTerm
51
ref
51
ref
51
ref
465
ref
295
ref
5837
ref
appTerm
209
ref
appTerm
appTerm
appTerm
239
ref
5837
ref
appTerm
457
ref
appTerm
appTerm
appTerm
239
ref
5838
ref
appTerm
231
ref
appTerm
5863
def
appTerm
appTerm
5864
def
295
ref
5628
remove
205
ref
5859
ref
appTerm
214
ref
appTerm
5865
def
appTerm
appTerm
202
ref
5838
ref
appTerm
5866
def
205
ref
5837
ref
appTerm
214
ref
appTerm
appTerm
5867
def
appTerm
appTerm
appTerm
appTerm
51
ref
5860
ref
5837
remove
appTerm
appTerm
5868
def
295
ref
3125
remove
appTerm
5838
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5869
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
5858
remove
nil
75
ref
5869
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
3242
ref
299
ref
5835
remove
299
ref
5836
ref
45
ref
51
ref
5862
remove
239
ref
3243
ref
appTerm
5870
def
231
ref
appTerm
5871
def
appTerm
5872
def
appTerm
5873
def
5864
remove
295
ref
3248
remove
5865
ref
appTerm
5874
def
appTerm
5875
def
5867
remove
appTerm
appTerm
appTerm
appTerm
5868
remove
295
ref
3243
ref
appTerm
5876
def
5838
remove
appTerm
5877
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5878
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
3242
remove
nil
75
ref
5878
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
"pl2"
186
ref
var
5879
def
299
ref
5836
remove
45
ref
5873
ref
51
ref
51
ref
51
ref
465
ref
295
ref
5879
ref
varTerm
5880
def
appTerm
209
ref
appTerm
appTerm
appTerm
239
ref
5880
ref
appTerm
457
ref
appTerm
appTerm
5881
def
appTerm
5882
def
5863
remove
appTerm
appTerm
5875
ref
5866
remove
205
ref
5880
ref
appTerm
214
ref
appTerm
5883
def
appTerm
appTerm
appTerm
appTerm
appTerm
51
ref
5860
remove
5880
ref
appTerm
5884
def
appTerm
5885
def
5877
remove
appTerm
appTerm
absTerm
appTerm
5886
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
5879
remove
nil
75
ref
5886
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
303
ref
"pos2"
186
ref
var
5887
def
45
ref
5873
remove
51
ref
5882
remove
239
remove
5887
ref
varTerm
5888
def
appTerm
5889
def
231
ref
appTerm
5890
def
appTerm
5891
def
appTerm
5875
remove
202
ref
5888
ref
appTerm
5883
ref
appTerm
5892
def
appTerm
5893
def
appTerm
5894
def
appTerm
5895
def
appTerm
5885
remove
5876
remove
5888
ref
appTerm
5896
def
appTerm
5897
def
appTerm
5898
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
5887
remove
nil
75
ref
5898
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5895
remove
nil
cons
5899
def
cons
44
ref
5897
remove
nil
cons
5900
def
cons
nil
cons
cons
nil
cons
cons
5901
def
62
ref
subst
5901
remove
126
ref
subst
nil
88
ref
5872
remove
nil
cons
cons
90
ref
5894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5902
def
104
ref
subst
5902
remove
392
ref
subst
nil
88
ref
5861
remove
nil
cons
cons
90
ref
5871
ref
nil
cons
5903
def
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
nil
88
ref
5891
remove
nil
cons
cons
90
ref
5893
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5904
def
104
ref
subst
5904
remove
392
ref
subst
nil
88
ref
5881
remove
nil
cons
cons
90
ref
5890
ref
nil
cons
5905
def
cons
nil
cons
cons
nil
cons
cons
392
ref
subst
426
ref
295
ref
202
ref
401
ref
3243
ref
appTerm
5906
def
427
ref
appTerm
appTerm
205
ref
416
ref
3243
ref
appTerm
5907
def
427
ref
appTerm
appTerm
427
ref
appTerm
appTerm
appTerm
3243
ref
appTerm
absTerm
5908
def
214
ref
appTerm
5909
def
betaConv
433
ref
3243
ref
appTerm
5910
def
betaConv
436
ref
nil
437
ref
44
ref
5910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
438
ref
304
ref
3290
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
5908
ref
appTerm
nil
cons
cons
44
ref
5909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5908
remove
nil
cons
cons
443
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
295
ref
202
ref
5906
remove
214
ref
appTerm
5911
def
appTerm
5912
def
205
ref
5907
remove
214
ref
appTerm
5913
def
appTerm
214
ref
appTerm
5914
def
appTerm
5915
def
appTerm
5916
def
3243
ref
appTerm
5917
def
nil
cons
5918
def
cons
44
ref
295
ref
5911
ref
appTerm
5919
def
3243
ref
appTerm
5920
def
nil
cons
5921
def
cons
nil
cons
cons
nil
cons
cons
5922
def
113
ref
subst
proveHyp
5922
ref
62
ref
subst
5922
remove
126
ref
subst
5919
ref
refl
5917
remove
assume
sym
appThm
sym
nil
192
ref
5914
remove
nil
cons
cons
581
ref
5911
ref
nil
cons
5923
def
cons
nil
cons
cons
nil
cons
cons
3144
ref
subst
nil
3881
ref
192
ref
5913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5732
ref
subst
nil
3881
ref
3554
remove
cons
nil
cons
cons
5924
def
4910
ref
subst
trans
trans
sym
466
ref
4493
ref
3243
ref
appTerm
appTerm
5925
def
refl
5738
ref
appThm
sym
192
ref
51
ref
5870
ref
195
ref
appTerm
appTerm
5740
ref
appTerm
absTerm
5926
def
231
ref
appTerm
betaConv
sym
291
ref
nil
75
ref
5903
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
5871
remove
assume
eqMp
appThm
5743
ref
appThm
5744
ref
trans
sym
5748
ref
eqMp
eqMp
302
ref
303
ref
5926
ref
nil
cons
cons
2181
ref
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5926
remove
appTerm
nil
cons
cons
44
ref
5870
remove
5739
ref
appTerm
nil
cons
5927
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5751
ref
3291
ref
cons
nil
cons
cons
2724
ref
subst
eqMp
nil
43
ref
5927
remove
cons
44
ref
466
ref
3243
ref
appTerm
5739
ref
appTerm
nil
cons
5928
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5753
ref
3291
remove
cons
nil
cons
cons
5760
ref
subst
eqMp
nil
43
ref
5928
remove
cons
44
ref
5925
remove
5761
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5762
ref
188
ref
3290
remove
cons
nil
cons
5929
def
cons
nil
cons
cons
5769
ref
subst
eqMp
eqMp
eqMp
nil
43
ref
5916
remove
5911
ref
appTerm
nil
cons
cons
44
ref
5919
remove
5915
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
304
ref
5915
remove
nil
cons
cons
1566
ref
5923
ref
cons
nil
cons
cons
nil
cons
cons
2408
ref
subst
eqMp
eqMp
eqMp
nil
88
ref
5918
remove
cons
90
ref
5921
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
426
remove
295
ref
202
ref
401
ref
5888
ref
appTerm
5930
def
427
ref
appTerm
appTerm
205
ref
416
ref
5888
ref
appTerm
5931
def
427
ref
appTerm
appTerm
427
remove
appTerm
appTerm
appTerm
5888
ref
appTerm
absTerm
5932
def
214
ref
appTerm
5933
def
betaConv
433
remove
5888
ref
appTerm
5934
def
betaConv
436
remove
nil
437
remove
44
ref
5934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
438
remove
304
ref
5888
ref
nil
cons
5935
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
299
ref
5932
ref
appTerm
nil
cons
cons
44
ref
5933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
5932
remove
nil
cons
cons
443
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
295
ref
202
ref
5930
remove
214
ref
appTerm
5936
def
appTerm
5937
def
205
remove
5931
remove
214
ref
appTerm
5938
def
appTerm
214
ref
appTerm
5939
def
appTerm
5940
def
appTerm
5941
def
5888
ref
appTerm
5942
def
nil
cons
5943
def
cons
44
ref
295
ref
5936
ref
appTerm
5944
def
5888
ref
appTerm
5945
def
nil
cons
5946
def
cons
nil
cons
cons
nil
cons
cons
5947
def
113
ref
subst
proveHyp
5947
ref
62
ref
subst
5947
remove
126
ref
subst
5944
ref
refl
5942
remove
assume
sym
appThm
sym
nil
192
ref
5939
remove
nil
cons
cons
581
ref
5936
ref
nil
cons
5948
def
cons
nil
cons
cons
nil
cons
cons
3144
remove
subst
nil
3881
ref
192
ref
5938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5732
remove
subst
nil
3881
ref
192
ref
5935
ref
cons
nil
cons
cons
nil
cons
cons
5949
def
4910
remove
subst
trans
trans
sym
466
ref
4493
remove
5888
ref
appTerm
appTerm
5950
def
refl
5738
remove
appThm
sym
192
ref
51
ref
5889
ref
195
ref
appTerm
appTerm
5740
remove
appTerm
absTerm
5951
def
231
remove
appTerm
betaConv
sym
291
ref
nil
75
ref
5905
remove
cons
nil
cons
nil
cons
cons
82
ref
subst
5890
remove
assume
eqMp
appThm
5743
remove
appThm
5744
remove
trans
sym
5748
remove
eqMp
eqMp
302
ref
303
ref
5951
ref
nil
cons
cons
2181
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5951
remove
appTerm
nil
cons
cons
44
ref
5889
remove
5739
ref
appTerm
nil
cons
5952
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5751
remove
581
ref
5935
ref
cons
nil
cons
5953
def
cons
nil
cons
cons
2724
remove
subst
eqMp
nil
43
ref
5952
remove
cons
44
ref
466
remove
5888
ref
appTerm
5739
remove
appTerm
nil
cons
5954
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5753
remove
5953
remove
cons
nil
cons
cons
5760
remove
subst
eqMp
nil
43
ref
5954
remove
cons
44
ref
5950
remove
5761
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5762
remove
188
ref
5935
remove
cons
nil
cons
5955
def
cons
nil
cons
cons
5769
remove
subst
eqMp
eqMp
eqMp
nil
43
ref
5941
remove
5936
ref
appTerm
nil
cons
cons
44
ref
5944
remove
5940
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
304
ref
5940
remove
nil
cons
cons
1566
ref
5948
ref
cons
nil
cons
cons
nil
cons
cons
2408
remove
subst
eqMp
eqMp
eqMp
nil
88
ref
5943
remove
cons
90
ref
5946
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
416
ref
refl
5893
remove
assume
5956
def
appThm
425
ref
appThm
nil
43
ref
295
ref
416
ref
5874
ref
appTerm
214
ref
appTerm
appTerm
5957
def
416
ref
5892
ref
appTerm
214
ref
appTerm
appTerm
nil
cons
cons
44
ref
5884
ref
nil
cons
5958
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
20
ref
"_32854"
186
ref
var
5959
def
45
ref
5957
ref
416
ref
202
ref
5959
remove
varTerm
appTerm
5883
ref
appTerm
appTerm
214
ref
appTerm
appTerm
appTerm
5884
ref
appTerm
absTerm
5960
def
5888
remove
appTerm
5961
def
appTerm
refl
5960
ref
5936
remove
appTerm
betaConv
appThm
92
ref
5961
remove
betaConv
appThm
45
ref
5957
remove
416
ref
5937
remove
5883
remove
appTerm
appTerm
214
ref
appTerm
5962
def
appTerm
appTerm
5884
ref
appTerm
refl
appThm
trans
5960
remove
refl
5945
remove
assume
5963
def
sym
appThm
eqMp
sym
20
ref
"_32856"
186
ref
var
5964
def
45
ref
295
ref
416
ref
202
ref
5964
remove
varTerm
appTerm
5865
ref
appTerm
appTerm
214
ref
appTerm
appTerm
5962
ref
appTerm
appTerm
5884
ref
appTerm
absTerm
5965
def
3243
remove
appTerm
5966
def
appTerm
refl
5965
ref
5911
remove
appTerm
betaConv
appThm
92
ref
5966
remove
betaConv
appThm
45
ref
295
ref
416
remove
5912
remove
5865
remove
appTerm
appTerm
214
ref
appTerm
appTerm
5962
remove
appTerm
appTerm
5884
ref
appTerm
refl
appThm
trans
5965
remove
refl
5920
remove
assume
5967
def
sym
appThm
eqMp
sym
454
ref
306
ref
nil
3881
ref
189
ref
5859
ref
nil
cons
5968
def
cons
5969
def
188
ref
5923
remove
cons
nil
cons
cons
cons
nil
cons
cons
5696
ref
subst
397
ref
5924
remove
5781
ref
subst
appThm
5859
remove
refl
appThm
nil
192
ref
5968
remove
cons
nil
cons
nil
cons
cons
1024
ref
subst
trans
trans
appThm
nil
3881
ref
189
remove
5880
ref
nil
cons
5970
def
cons
5971
def
188
remove
5948
remove
cons
nil
cons
cons
cons
nil
cons
cons
5696
remove
subst
397
remove
5949
remove
5781
remove
subst
appThm
5880
remove
refl
appThm
nil
192
ref
5970
remove
cons
nil
cons
nil
cons
cons
1024
remove
subst
trans
trans
appThm
appThm
5884
remove
refl
appThm
nil
75
ref
5958
ref
cons
nil
cons
nil
cons
cons
951
ref
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
eqMp
proveHyp
nil
43
ref
5958
remove
cons
44
ref
5896
ref
nil
cons
5972
def
cons
nil
cons
5973
def
cons
nil
cons
cons
126
ref
subst
proveHyp
401
ref
refl
5956
remove
appThm
425
ref
appThm
nil
43
ref
295
ref
401
ref
5874
remove
appTerm
214
ref
appTerm
appTerm
401
remove
5892
remove
appTerm
214
ref
appTerm
appTerm
nil
cons
cons
5973
remove
cons
nil
cons
cons
113
ref
subst
454
ref
306
ref
nil
3881
ref
5969
remove
5929
remove
cons
cons
nil
cons
cons
5707
ref
subst
appThm
nil
3881
remove
5971
remove
5955
remove
cons
cons
nil
cons
cons
5707
remove
subst
appThm
appThm
5896
remove
refl
5974
def
appThm
sym
454
ref
306
ref
5967
remove
appThm
5963
remove
appThm
appThm
5974
remove
appThm
nil
75
ref
5972
remove
cons
nil
cons
nil
cons
cons
951
remove
subst
trans
sym
81
ref
eqMp
eqMp
eqMp
proveHyp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
88
ref
5899
remove
cons
90
ref
5900
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
5822
remove
5829
remove
appTerm
5975
def
nil
cons
cons
44
ref
3707
ref
5332
remove
constTerm
5322
remove
appTerm
5976
def
nil
cons
cons
nil
cons
5977
def
cons
nil
cons
cons
126
ref
subst
proveHyp
51
ref
3806
ref
5320
ref
appTerm
5978
def
appTerm
5979
def
refl
5140
remove
appThm
nil
75
ref
5978
remove
nil
cons
5980
def
cons
nil
cons
nil
cons
cons
560
ref
subst
trans
sym
3804
ref
3808
remove
3812
ref
5320
ref
appTerm
3807
remove
appTerm
appTerm
absTerm
5981
def
3718
remove
3719
ref
372
ref
190
ref
5318
remove
458
ref
appTerm
absTerm
appTerm
absTerm
appTerm
5982
def
appTerm
betaConv
sym
291
ref
2521
ref
3826
remove
subst
appThm
5983
def
nil
3804
ref
5982
ref
nil
cons
5984
def
cons
5985
def
5598
remove
nil
cons
5986
def
cons
nil
cons
cons
3837
ref
subst
649
ref
304
ref
454
ref
92
ref
3840
ref
5623
remove
appThm
appThm
5622
remove
1154
ref
appTerm
betaConv
appThm
nil
5624
remove
nil
cons
nil
cons
cons
3794
ref
subst
eqMp
5987
def
appThm
92
ref
3840
remove
3841
remove
3719
remove
1430
remove
190
ref
5621
remove
190
ref
458
ref
absTerm
5988
def
206
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
5988
ref
1154
remove
appTerm
betaConv
appThm
nil
1068
remove
5988
remove
nil
cons
cons
nil
cons
nil
cons
cons
3794
remove
subst
eqMp
5989
def
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
ref
51
ref
465
ref
1568
remove
209
ref
appTerm
5990
def
appTerm
5991
def
appTerm
5151
remove
457
ref
appTerm
5992
def
appTerm
5993
def
appTerm
5992
ref
appTerm
5994
def
absTerm
5995
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
5995
remove
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
304
ref
nil
75
ref
5994
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5993
remove
nil
cons
5996
def
cons
44
ref
5992
ref
nil
cons
5997
def
cons
nil
cons
cons
nil
cons
cons
5998
def
62
ref
subst
5998
remove
126
ref
subst
nil
88
ref
5991
remove
nil
cons
cons
90
ref
5997
remove
cons
nil
cons
5999
def
cons
nil
cons
cons
392
ref
subst
eqMp
nil
88
ref
5996
remove
cons
5999
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
4368
remove
4369
remove
5981
ref
nil
cons
cons
4370
remove
5984
ref
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
4372
remove
5981
remove
appTerm
nil
cons
cons
44
ref
5980
remove
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5986
ref
nil
cons
cons
4417
remove
subst
eqMp
eqMp
6000
def
nil
43
ref
5979
remove
3806
ref
5321
ref
appTerm
appTerm
nil
cons
cons
6001
def
5977
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5597
remove
5986
ref
cons
nil
cons
cons
6002
def
5338
ref
5599
ref
45
ref
4785
remove
4421
remove
5602
ref
appTerm
appTerm
appTerm
6003
def
3707
remove
5601
remove
constTerm
5603
ref
appTerm
appTerm
absTerm
6004
def
5602
ref
appTerm
6005
def
betaConv
3730
ref
5606
ref
6004
ref
appTerm
6006
def
absTerm
6007
def
3731
ref
appTerm
6008
def
betaConv
nil
3743
ref
6007
ref
appTerm
6009
def
axiom
nil
43
ref
6009
remove
nil
cons
cons
44
ref
6008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
6007
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
6006
remove
nil
cons
cons
44
ref
6005
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5617
ref
5618
ref
6004
remove
nil
cons
cons
5619
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
nil
43
ref
51
ref
5975
remove
appTerm
5976
remove
appTerm
nil
cons
cons
44
ref
5817
remove
5821
ref
appTerm
nil
cons
6010
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
5324
remove
5325
remove
nil
cons
cons
nil
cons
cons
5326
remove
4611
remove
subst
subst
eqMp
nil
43
ref
6010
remove
cons
44
ref
295
ref
5821
ref
appTerm
6011
def
5813
ref
appTerm
nil
cons
cons
nil
cons
6012
def
cons
nil
cons
cons
126
ref
subst
proveHyp
1566
ref
51
ref
6011
ref
1569
ref
appTerm
appTerm
5819
remove
appTerm
absTerm
6013
def
571
ref
4574
ref
5320
ref
appTerm
6014
def
appTerm
6015
def
4574
ref
5321
remove
appTerm
appTerm
6016
def
appTerm
betaConv
sym
6000
remove
nil
6001
remove
44
ref
6011
remove
6016
ref
appTerm
nil
cons
6017
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
6002
remove
5338
remove
5599
remove
6003
remove
295
ref
4568
remove
0
ref
5600
remove
198
remove
cons
opType
constTerm
5603
remove
appTerm
appTerm
571
remove
4604
remove
appTerm
4602
remove
5602
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6018
def
5602
remove
appTerm
6019
def
betaConv
3730
remove
5606
remove
6018
ref
appTerm
6020
def
absTerm
6021
def
3731
ref
appTerm
6022
def
betaConv
nil
3743
remove
6021
ref
appTerm
6023
def
axiom
nil
43
ref
6023
remove
nil
cons
cons
44
ref
6022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
6021
remove
nil
cons
cons
3754
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
6020
remove
nil
cons
cons
44
ref
6019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
5617
remove
5618
remove
6018
remove
nil
cons
cons
5619
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
43
ref
6017
remove
cons
44
ref
295
ref
6016
ref
appTerm
5813
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
306
ref
6015
remove
refl
5286
remove
appThm
appThm
5813
ref
refl
appThm
nil
2563
remove
2174
remove
581
ref
6014
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
957
ref
20
ref
295
ref
981
remove
appTerm
2362
remove
appTerm
appTerm
1903
remove
3063
remove
209
ref
appTerm
appTerm
appTerm
absTerm
6024
def
961
remove
appTerm
6025
def
betaConv
192
ref
299
ref
6024
ref
appTerm
6026
def
absTerm
6027
def
195
remove
appTerm
6028
def
betaConv
581
ref
299
ref
6027
ref
appTerm
6029
def
absTerm
6030
def
585
remove
appTerm
6031
def
betaConv
nil
299
ref
6030
ref
appTerm
6032
def
axiom
nil
43
ref
6032
remove
nil
cons
cons
44
ref
6031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
6030
remove
nil
cons
cons
591
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
6029
remove
nil
cons
cons
44
ref
6028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
6027
remove
nil
cons
cons
410
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
6026
remove
nil
cons
cons
44
ref
6025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
302
ref
303
ref
6024
remove
nil
cons
cons
974
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
trans
sym
nil
3804
ref
4802
remove
5982
ref
appTerm
"Set.insert"
const
6033
def
0
ref
186
ref
4624
remove
cons
opType
constTerm
209
remove
appTerm
4749
remove
appTerm
6034
def
appTerm
6035
def
nil
cons
cons
5986
remove
cons
nil
cons
cons
4628
remove
subst
649
ref
304
ref
92
ref
5987
remove
appThm
nil
3804
remove
6034
ref
nil
cons
6036
def
cons
3760
ref
5984
remove
cons
nil
cons
cons
nil
cons
cons
6037
def
4841
remove
subst
291
ref
5989
ref
appThm
810
remove
nil
1566
ref
997
remove
cons
nil
cons
nil
cons
cons
320
ref
152
remove
20
ref
3736
remove
6033
remove
0
ref
9
remove
4635
remove
cons
opType
constTerm
6038
def
156
ref
appTerm
4741
ref
appTerm
appTerm
appTerm
157
remove
appTerm
absTerm
6039
def
156
remove
appTerm
6040
def
betaConv
33
ref
118
ref
6039
ref
appTerm
6041
def
absTerm
6042
def
36
ref
appTerm
6043
def
betaConv
nil
118
ref
6042
ref
appTerm
6044
def
axiom
nil
43
ref
6044
remove
nil
cons
cons
44
ref
6043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
6042
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
6041
remove
nil
cons
cons
44
ref
6040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
ref
119
ref
6039
remove
nil
cons
cons
172
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
6045
def
appThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
303
ref
190
ref
20
ref
5319
ref
appTerm
459
remove
504
ref
appTerm
6046
def
appTerm
6047
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
6047
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
43
ref
5671
ref
cons
44
ref
6046
ref
nil
cons
6048
def
cons
nil
cons
cons
nil
cons
cons
6049
def
538
remove
subst
6049
ref
62
ref
subst
6049
remove
126
ref
subst
5801
remove
5677
remove
291
ref
2657
ref
appThm
1100
ref
appThm
342
ref
trans
sym
81
ref
eqMp
proveHyp
proveHyp
eqMp
nil
5672
remove
90
ref
6048
ref
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
ref
45
ref
5319
ref
appTerm
6046
ref
appTerm
nil
cons
cons
44
ref
45
ref
6046
remove
appTerm
5319
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
nil
43
ref
6048
ref
cons
44
ref
5671
ref
cons
nil
cons
cons
nil
cons
cons
6050
def
62
ref
subst
6050
remove
126
ref
subst
nil
566
remove
3701
remove
nil
cons
cons
nil
cons
cons
6051
def
104
ref
subst
6051
remove
392
remove
subst
291
ref
1100
remove
appThm
2657
remove
appThm
342
remove
trans
sym
81
ref
eqMp
proveHyp
proveHyp
eqMp
nil
88
ref
6048
remove
cons
90
ref
5671
remove
cons
nil
cons
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
20
ref
"_32858"
3715
remove
var
6052
def
295
ref
4574
ref
6052
remove
varTerm
appTerm
appTerm
214
ref
appTerm
absTerm
6053
def
5320
ref
appTerm
6054
def
appTerm
refl
6053
ref
6035
ref
appTerm
betaConv
appThm
92
ref
6054
remove
betaConv
appThm
295
ref
4574
ref
6035
ref
appTerm
6055
def
appTerm
6056
def
214
ref
appTerm
6057
def
refl
appThm
trans
6053
remove
refl
4708
remove
5320
remove
appTerm
6035
remove
appTerm
assume
appThm
eqMp
sym
1566
remove
51
ref
6056
ref
1569
remove
appTerm
appTerm
1576
remove
214
ref
appTerm
appTerm
absTerm
6058
def
5225
ref
4574
ref
5982
ref
appTerm
appTerm
4574
remove
6034
ref
appTerm
appTerm
6059
def
appTerm
betaConv
sym
5983
remove
nil
5985
remove
3760
remove
6036
remove
cons
nil
cons
cons
nil
cons
cons
3837
remove
subst
649
remove
304
ref
454
remove
6045
remove
appThm
5989
remove
appThm
absThm
appThm
trans
appThm
nil
75
ref
299
ref
304
ref
45
remove
5990
remove
appTerm
5992
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
341
ref
subst
trans
sym
nil
303
ref
190
ref
464
remove
458
ref
appTerm
6060
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
190
ref
nil
75
ref
6060
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
ref
subst
nil
3170
remove
44
ref
565
remove
cons
nil
cons
cons
nil
cons
cons
6061
def
62
ref
subst
6061
remove
126
ref
subst
3174
remove
sym
4996
remove
sym
81
ref
eqMp
eqMp
eqMp
nil
512
remove
5675
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
43
ref
51
remove
3806
remove
5982
ref
appTerm
appTerm
3812
remove
6034
remove
appTerm
5982
remove
appTerm
appTerm
nil
cons
cons
44
ref
6056
remove
6059
ref
appTerm
nil
cons
6062
def
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
6037
remove
320
ref
5234
ref
3732
remove
appTerm
6063
def
betaConv
5236
ref
3731
remove
appTerm
6064
def
betaConv
5238
remove
nil
43
ref
5237
remove
nil
cons
cons
44
ref
6064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
ref
3752
ref
5236
remove
nil
cons
cons
3754
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
nil
43
ref
5235
remove
nil
cons
cons
44
ref
6063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
3751
remove
3752
remove
5234
remove
nil
cons
cons
3755
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
43
ref
6062
remove
cons
44
ref
295
ref
6059
ref
appTerm
214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
126
ref
subst
proveHyp
306
ref
5284
remove
2521
remove
5283
remove
subst
appThm
1026
remove
320
remove
33
remove
295
ref
4603
remove
6038
remove
36
ref
appTerm
4741
remove
appTerm
appTerm
appTerm
210
ref
appTerm
absTerm
6065
def
36
remove
appTerm
6066
def
betaConv
nil
118
remove
6065
ref
appTerm
6067
def
axiom
nil
43
ref
6067
remove
nil
cons
cons
44
ref
6066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
169
remove
119
remove
6065
remove
nil
cons
cons
171
remove
cons
nil
cons
cons
137
ref
subst
eqMp
eqMp
subst
subst
appThm
appThm
425
remove
appThm
sym
5300
remove
nil
998
remove
1196
remove
cons
nil
cons
cons
2098
ref
subst
2099
ref
4108
remove
1233
remove
subst
appThm
trans
subst
nil
43
ref
295
ref
202
remove
214
ref
appTerm
210
ref
appTerm
appTerm
457
ref
appTerm
nil
cons
cons
44
ref
295
ref
5225
remove
457
remove
appTerm
210
remove
appTerm
appTerm
214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
2514
remove
2519
remove
1753
remove
cons
cons
nil
cons
cons
5299
remove
subst
eqMp
eqMp
eqMp
eqMp
302
ref
303
ref
6058
ref
nil
cons
cons
304
ref
6059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
6058
remove
appTerm
nil
cons
cons
44
ref
6057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
442
remove
cons
304
ref
6055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
proveHyp
nil
88
ref
295
ref
6014
remove
appTerm
214
ref
appTerm
nil
cons
cons
90
ref
1101
remove
cons
nil
cons
cons
nil
cons
cons
5214
remove
subst
proveHyp
eqMp
eqMp
eqMp
302
ref
303
ref
6013
ref
nil
cons
cons
304
ref
6016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
6013
remove
appTerm
nil
cons
cons
6012
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
ref
5813
ref
nil
cons
cons
6068
def
304
ref
5821
remove
nil
cons
cons
nil
cons
6069
def
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
eqMp
302
ref
303
ref
5820
ref
nil
cons
cons
6069
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
5820
remove
appTerm
nil
cons
cons
44
ref
5818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
6068
remove
304
ref
5816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
proveHyp
20
ref
"_32796"
186
remove
var
6070
def
295
ref
4797
ref
6070
remove
varTerm
appTerm
appTerm
265
ref
appTerm
absTerm
6071
def
4621
ref
appTerm
6072
def
appTerm
refl
6071
ref
5813
ref
appTerm
betaConv
appThm
92
ref
6072
remove
betaConv
appThm
295
ref
4797
ref
5813
ref
appTerm
appTerm
265
ref
appTerm
refl
appThm
trans
6071
remove
refl
295
ref
4621
remove
appTerm
5813
remove
appTerm
assume
appThm
eqMp
sym
4797
remove
refl
nil
2091
remove
595
ref
957
ref
3374
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2516
remove
595
ref
957
ref
3373
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
1736
remove
595
ref
957
remove
3372
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2416
ref
subst
nil
2518
remove
595
ref
2175
remove
cons
cons
nil
cons
cons
2416
remove
subst
5139
remove
2526
remove
subst
eqMp
eqMp
eqMp
eqMp
appThm
nil
2107
remove
595
remove
3630
remove
cons
cons
nil
cons
cons
2147
remove
subst
nil
2149
remove
3342
remove
3632
remove
cons
cons
nil
cons
cons
2528
ref
306
ref
nil
2424
ref
2155
remove
cons
nil
cons
cons
2124
remove
subst
2099
remove
3346
remove
2098
ref
subst
3532
remove
trans
appThm
trans
appThm
3524
remove
appThm
3534
remove
trans
appThm
2539
ref
trans
sym
81
ref
eqMp
subst
nil
2160
remove
3344
remove
3358
remove
cons
cons
nil
cons
cons
2528
remove
306
ref
1008
ref
nil
2424
ref
2165
remove
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
nil
2428
ref
2167
remove
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
2019
remove
2311
ref
subst
1708
ref
1008
ref
2098
remove
appThm
2530
remove
trans
appThm
trans
appThm
nil
192
ref
2534
remove
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
3643
remove
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
3642
remove
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
3640
remove
appThm
3644
remove
trans
appThm
2539
remove
trans
sym
81
ref
eqMp
subst
4927
remove
2422
remove
306
remove
1008
ref
nil
2424
remove
4359
remove
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
nil
2428
remove
4360
remove
cons
nil
cons
cons
2311
ref
subst
1708
ref
1008
ref
5185
remove
2311
remove
subst
1708
remove
1008
remove
5186
remove
appThm
2317
remove
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
1030
remove
appTerm
6073
def
nil
cons
6074
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
ref
6073
remove
appTerm
6075
def
nil
cons
6076
def
cons
nil
cons
nil
cons
cons
2329
ref
subst
trans
appThm
trans
appThm
nil
192
ref
208
remove
6075
remove
appTerm
nil
cons
6077
def
cons
nil
cons
nil
cons
cons
2329
remove
subst
trans
appThm
2156
remove
appThm
nil
2132
remove
581
ref
6077
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
2136
remove
581
ref
6076
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
nil
2140
remove
581
remove
6074
remove
cons
nil
cons
cons
nil
cons
cons
2139
ref
subst
2433
remove
2139
remove
subst
trans
trans
trans
trans
appThm
2435
remove
trans
sym
81
ref
eqMp
subst
4928
remove
eqMp
eqMp
eqMp
eqMp
trans
eqMp
proveHyp
eqMp
eqMp
302
ref
303
ref
4796
ref
nil
cons
cons
304
ref
4798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
4796
remove
appTerm
nil
cons
cons
4795
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
1564
remove
2221
remove
cons
6078
def
304
ref
4622
remove
nil
cons
cons
nil
cons
6079
def
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
eqMp
302
ref
303
ref
4614
ref
nil
cons
cons
6079
remove
cons
nil
cons
cons
370
ref
subst
proveHyp
nil
43
ref
372
ref
4614
remove
appTerm
nil
cons
cons
4613
remove
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
6078
ref
304
ref
4575
remove
nil
cons
cons
nil
cons
6080
def
cons
nil
cons
cons
3009
ref
subst
eqMp
eqMp
eqMp
302
remove
303
ref
4573
ref
nil
cons
cons
6080
remove
cons
nil
cons
cons
370
remove
subst
proveHyp
nil
43
ref
372
remove
4573
remove
appTerm
nil
cons
cons
44
ref
4571
remove
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
proveHyp
nil
6078
remove
304
remove
4570
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3009
remove
subst
eqMp
eqMp
nil
295
remove
4569
remove
3713
remove
appTerm
appTerm
265
remove
appTerm
thm
nil
174
remove
175
ref
3861
remove
absTerm
6081
def
nil
cons
cons
nil
cons
nil
cons
cons
184
remove
subst
175
remove
4364
remove
absThm
eqMp
nil
139
remove
6081
remove
appTerm
thm
nil
303
ref
192
ref
4659
remove
4912
ref
appTerm
absTerm
6082
def
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
92
ref
4911
remove
appThm
4912
remove
refl
appThm
nil
338
ref
4913
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
absThm
eqMp
nil
299
ref
6082
remove
appTerm
thm
nil
303
ref
192
ref
3847
remove
absTerm
6083
def
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
192
ref
4367
remove
absThm
eqMp
nil
299
ref
6083
remove
appTerm
thm
nil
303
remove
192
ref
455
remove
190
remove
191
ref
462
ref
234
remove
0
remove
16
remove
19
remove
nil
cons
cons
opType
constTerm
6084
def
504
remove
appTerm
458
remove
appTerm
478
ref
appTerm
appTerm
absTerm
399
ref
appTerm
absTerm
414
remove
appTerm
6085
def
appTerm
6086
def
absTerm
6087
def
nil
cons
cons
nil
cons
nil
cons
cons
382
remove
subst
192
remove
nil
75
ref
6086
remove
nil
cons
cons
nil
cons
nil
cons
cons
82
remove
subst
92
ref
490
remove
appThm
6085
remove
betaConv
191
remove
462
remove
6084
ref
4618
remove
appTerm
485
remove
appTerm
6088
def
478
remove
appTerm
appTerm
absTerm
399
remove
appTerm
betaConv
trans
appThm
sym
nil
43
ref
465
remove
3938
ref
appTerm
nil
cons
6089
def
cons
6090
def
44
ref
20
ref
3945
remove
appTerm
3941
remove
6088
remove
3942
remove
appTerm
6091
def
appTerm
appTerm
nil
cons
6092
def
cons
nil
cons
6093
def
cons
nil
cons
cons
6094
def
62
ref
subst
6094
remove
126
ref
subst
92
ref
4876
ref
291
ref
nil
6090
remove
44
ref
20
ref
3938
ref
appTerm
510
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
ref
subst
nil
3952
ref
nil
cons
nil
cons
cons
548
remove
subst
eqMp
appThm
6095
def
3943
ref
refl
6096
def
appThm
nil
75
ref
3953
remove
cons
nil
cons
nil
cons
cons
6097
def
826
ref
subst
trans
appThm
5644
remove
4680
remove
subst
trans
appThm
6095
remove
6091
ref
refl
6098
def
appThm
nil
75
ref
6091
ref
nil
cons
cons
nil
cons
nil
cons
cons
6099
def
826
remove
subst
trans
appThm
832
remove
trans
sym
81
ref
eqMp
eqMp
nil
88
remove
6089
ref
cons
90
ref
6092
ref
cons
nil
cons
6100
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
43
remove
3939
ref
cons
6093
remove
cons
nil
cons
cons
6101
def
62
ref
subst
6101
remove
126
ref
subst
92
ref
4876
remove
291
ref
5645
remove
appThm
6102
def
6096
remove
appThm
6097
remove
341
ref
subst
trans
appThm
appThm
6102
remove
6098
remove
appThm
6099
remove
341
ref
subst
trans
appThm
sym
nil
4862
remove
44
ref
20
remove
486
remove
3943
remove
appTerm
appTerm
6091
remove
appTerm
nil
cons
6103
def
cons
nil
cons
6104
def
cons
nil
cons
cons
6105
def
62
ref
subst
6105
remove
126
ref
subst
92
ref
291
ref
484
ref
refl
4990
ref
appThm
6106
def
appThm
4883
remove
appThm
nil
75
remove
484
remove
1002
remove
214
remove
appTerm
appTerm
nil
cons
6107
def
cons
nil
cons
nil
cons
cons
560
remove
subst
trans
appThm
6084
remove
refl
6108
def
5638
remove
appThm
6106
remove
appThm
4880
ref
appThm
nil
848
remove
4881
ref
cons
6109
def
849
ref
6107
ref
cons
nil
cons
cons
nil
cons
cons
356
ref
3574
remove
subst
subst
trans
appThm
nil
338
ref
6107
remove
cons
nil
cons
nil
cons
cons
617
ref
subst
trans
sym
81
ref
eqMp
eqMp
nil
4960
remove
90
ref
6103
ref
cons
nil
cons
6110
def
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
nil
4962
remove
6104
remove
cons
nil
cons
cons
6111
def
62
remove
subst
6111
remove
126
remove
subst
92
remove
291
remove
4965
remove
4990
remove
appThm
4995
remove
trans
6112
def
appThm
4967
remove
appThm
4882
remove
341
remove
subst
trans
appThm
6108
remove
5786
remove
appThm
6112
remove
appThm
4880
remove
appThm
nil
6109
remove
849
remove
329
remove
cons
nil
cons
cons
nil
cons
cons
356
remove
2848
remove
subst
subst
trans
appThm
nil
338
ref
4881
remove
cons
nil
cons
nil
cons
cons
617
remove
subst
trans
sym
81
remove
eqMp
eqMp
nil
4878
ref
6110
remove
cons
nil
cons
cons
104
ref
subst
deductAntisym
eqMp
5096
remove
nil
4878
remove
4734
remove
778
ref
6103
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
3952
ref
6100
remove
cons
nil
cons
cons
104
remove
subst
deductAntisym
eqMp
1619
remove
3938
remove
appTerm
6113
def
betaConv
1622
remove
nil
1623
remove
44
remove
6113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
113
remove
subst
proveHyp
336
remove
1624
remove
338
remove
3939
remove
cons
nil
cons
cons
nil
cons
cons
137
remove
subst
eqMp
eqMp
nil
3952
remove
90
remove
6089
remove
cons
778
remove
6092
remove
cons
nil
cons
cons
cons
nil
cons
cons
794
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
299
remove
6087
remove
appTerm
thm