6
version
"Set.finite"
const
0
def
"->"
typeOp
1
def
"Set.set"
typeOp
2
def
"bool"
typeOp
nil
opType
3
def
nil
cons
4
def
opType
5
def
4
ref
cons
opType
6
def
constTerm
7
def
refl
nil
"="
const
8
def
1
ref
5
ref
6
remove
nil
cons
9
def
cons
opType
constTerm
"Set.universe"
const
10
def
5
ref
constTerm
11
def
appTerm
"Set.insert"
const
12
def
1
ref
3
ref
1
ref
5
ref
5
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
13
def
"Data.Bool.T"
const
3
ref
constTerm
14
def
appTerm
13
remove
"Data.Bool.F"
const
3
ref
constTerm
15
def
appTerm
"Set.{}"
const
16
def
5
ref
constTerm
17
def
appTerm
18
def
appTerm
appTerm
axiom
appThm
nil
"s"
5
ref
var
19
def
18
remove
nil
cons
cons
"x"
3
ref
var
20
def
14
ref
nil
cons
21
def
cons
nil
cons
cons
nil
cons
cons
"A"
4
ref
cons
nil
cons
22
def
nil
nil
cons
23
def
cons
24
def
nil
"p"
3
ref
var
25
def
0
ref
1
ref
2
ref
"A"
varType
26
def
nil
cons
27
def
opType
28
def
4
ref
cons
opType
29
def
constTerm
30
def
12
ref
1
ref
26
ref
1
ref
28
ref
28
ref
nil
cons
31
def
cons
opType
32
def
nil
cons
33
def
cons
opType
constTerm
34
def
"x"
26
ref
var
35
def
varTerm
36
def
appTerm
37
def
"s"
28
ref
var
38
def
varTerm
39
def
appTerm
40
def
appTerm
41
def
nil
cons
42
def
cons
"q"
3
ref
var
43
def
30
ref
39
ref
appTerm
44
def
nil
cons
45
def
cons
nil
cons
46
def
cons
nil
cons
cons
47
def
"Data.Bool.==>"
const
1
ref
3
ref
1
ref
3
ref
4
ref
cons
opType
48
def
nil
cons
cons
opType
49
def
constTerm
50
def
refl
51
def
8
ref
49
ref
constTerm
52
def
25
ref
varTerm
53
def
appTerm
54
def
43
ref
varTerm
55
def
appTerm
56
def
assume
57
def
appThm
55
ref
refl
58
def
appThm
sym
nil
25
ref
55
ref
nil
cons
59
def
cons
60
def
43
ref
59
ref
cons
nil
cons
61
def
cons
nil
cons
cons
62
def
52
ref
50
ref
53
ref
appTerm
63
def
55
ref
appTerm
64
def
appTerm
65
def
refl
25
ref
43
ref
52
ref
"Data.Bool./\\"
const
49
ref
constTerm
66
def
53
ref
appTerm
67
def
55
ref
appTerm
68
def
appTerm
69
def
53
ref
appTerm
absTerm
70
def
absTerm
71
def
53
ref
appTerm
betaConv
58
ref
appThm
70
remove
55
ref
appTerm
betaConv
trans
appThm
nil
8
ref
1
ref
49
ref
1
ref
49
ref
4
ref
cons
opType
72
def
nil
cons
cons
opType
constTerm
73
def
50
ref
appTerm
71
remove
appTerm
axiom
53
ref
refl
74
def
appThm
58
ref
appThm
eqMp
75
def
sym
76
def
subst
62
remove
52
ref
refl
77
def
"f"
49
ref
var
78
def
78
ref
varTerm
79
def
53
ref
appTerm
55
ref
appTerm
absTerm
80
def
25
ref
43
ref
55
ref
absTerm
81
def
absTerm
82
def
appTerm
betaConv
82
ref
53
ref
appTerm
betaConv
58
ref
appThm
81
ref
55
ref
appTerm
betaConv
trans
trans
appThm
78
ref
79
ref
14
ref
appTerm
14
ref
appTerm
absTerm
83
def
82
ref
appTerm
betaConv
82
ref
14
ref
appTerm
betaConv
14
ref
refl
84
def
appThm
81
ref
14
ref
appTerm
betaConv
trans
trans
85
def
appThm
69
remove
refl
43
ref
8
ref
1
ref
72
ref
1
ref
72
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
86
def
80
remove
appTerm
83
ref
appTerm
absTerm
87
def
55
ref
appTerm
betaConv
appThm
8
ref
1
ref
48
ref
1
ref
48
ref
4
ref
cons
opType
88
def
nil
cons
cons
opType
constTerm
89
def
67
ref
appTerm
refl
25
ref
87
remove
absTerm
90
def
53
ref
appTerm
betaConv
appThm
nil
73
ref
66
ref
appTerm
90
ref
appTerm
axiom
91
def
74
remove
appThm
eqMp
58
ref
appThm
eqMp
92
def
68
ref
assume
eqMp
82
ref
refl
93
def
appThm
eqMp
sym
nil
14
ref
axiom
94
def
eqMp
95
def
92
remove
sym
78
ref
79
ref
refl
nil
"t"
3
ref
var
96
def
53
ref
nil
cons
97
def
cons
nil
cons
nil
cons
cons
98
def
52
ref
96
ref
varTerm
99
def
appTerm
100
def
14
ref
appTerm
101
def
assume
sym
94
ref
eqMp
99
ref
assume
94
ref
deductAntisym
deductAntisym
102
def
subst
53
ref
assume
103
def
eqMp
appThm
nil
96
ref
59
ref
cons
nil
cons
nil
cons
cons
104
def
102
ref
subst
55
ref
assume
105
def
eqMp
appThm
absThm
eqMp
106
def
deductAntisym
107
def
subst
105
remove
eqMp
nil
"P"
3
ref
var
108
def
59
ref
cons
109
def
"Q"
3
ref
var
110
def
59
ref
cons
nil
cons
111
def
cons
nil
cons
cons
77
ref
78
ref
79
remove
108
ref
varTerm
112
def
appTerm
113
def
110
ref
varTerm
114
def
appTerm
absTerm
115
def
25
ref
43
ref
53
ref
absTerm
absTerm
116
def
appTerm
betaConv
116
ref
112
ref
appTerm
betaConv
114
ref
refl
117
def
appThm
43
ref
112
ref
absTerm
114
ref
appTerm
betaConv
trans
trans
appThm
83
ref
116
ref
appTerm
betaConv
116
ref
14
ref
appTerm
betaConv
84
remove
appThm
43
ref
14
ref
absTerm
14
ref
appTerm
betaConv
trans
trans
appThm
52
ref
66
ref
112
ref
appTerm
118
def
114
ref
appTerm
119
def
appTerm
refl
43
ref
86
remove
78
remove
113
remove
55
ref
appTerm
absTerm
appTerm
83
remove
appTerm
absTerm
114
ref
appTerm
betaConv
appThm
89
ref
118
remove
appTerm
refl
90
remove
112
ref
appTerm
betaConv
appThm
91
remove
112
ref
refl
120
def
appThm
eqMp
117
ref
appThm
eqMp
119
remove
assume
eqMp
121
def
116
remove
refl
appThm
eqMp
sym
94
ref
eqMp
122
def
subst
deductAntisym
eqMp
123
def
eqMp
124
def
nil
25
ref
64
ref
nil
cons
125
def
cons
126
def
43
ref
50
ref
55
ref
appTerm
127
def
53
ref
appTerm
nil
cons
128
def
cons
nil
cons
129
def
cons
nil
cons
cons
107
ref
subst
proveHyp
127
ref
refl
57
remove
appThm
sym
123
remove
eqMp
130
def
eqMp
nil
60
ref
43
ref
97
ref
cons
nil
cons
131
def
cons
nil
cons
cons
76
ref
106
ref
nil
108
ref
97
ref
cons
132
def
111
ref
cons
nil
cons
cons
122
ref
subst
133
def
deductAntisym
eqMp
75
remove
64
ref
assume
eqMp
sym
103
remove
eqMp
95
ref
proveHyp
134
def
deductAntisym
135
def
subst
nil
108
ref
125
ref
cons
136
def
110
ref
128
remove
cons
nil
cons
137
def
cons
nil
cons
cons
138
def
77
ref
115
remove
82
ref
appTerm
betaConv
82
remove
112
ref
appTerm
betaConv
117
ref
appThm
81
remove
114
ref
appTerm
betaConv
trans
trans
appThm
85
remove
appThm
121
remove
93
remove
appThm
eqMp
sym
94
ref
eqMp
139
def
subst
eqMp
135
ref
138
remove
122
ref
subst
eqMp
deductAntisym
deductAntisym
140
def
subst
47
ref
76
ref
subst
47
remove
107
ref
subst
"t"
28
ref
var
141
def
66
ref
30
ref
141
ref
varTerm
142
def
appTerm
143
def
appTerm
144
def
"Set.subset"
const
145
def
1
ref
28
ref
29
ref
nil
cons
146
def
cons
opType
147
def
constTerm
148
def
39
ref
appTerm
149
def
142
ref
appTerm
150
def
appTerm
151
def
absTerm
152
def
40
ref
appTerm
betaConv
sym
66
ref
refl
153
def
nil
96
ref
42
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
41
ref
assume
eqMp
appThm
149
ref
40
ref
appTerm
154
def
refl
appThm
nil
96
ref
154
remove
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
66
ref
14
ref
appTerm
155
def
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
156
def
99
ref
appTerm
157
def
betaConv
nil
"Data.Bool.!"
const
158
def
88
remove
constTerm
159
def
156
ref
appTerm
160
def
axiom
nil
25
ref
160
remove
nil
cons
cons
43
ref
157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
"P"
48
ref
var
161
def
156
remove
nil
cons
cons
20
ref
99
ref
nil
cons
162
def
cons
nil
cons
163
def
cons
nil
cons
cons
nil
25
ref
158
ref
1
ref
1
ref
26
ref
4
ref
cons
opType
164
def
4
ref
cons
opType
165
def
constTerm
166
def
"P"
164
ref
var
167
def
varTerm
168
def
appTerm
169
def
nil
cons
170
def
cons
43
ref
168
ref
36
ref
appTerm
171
def
nil
cons
172
def
cons
nil
cons
cons
nil
cons
cons
173
def
76
ref
subst
173
remove
107
ref
subst
52
ref
171
ref
appTerm
refl
35
ref
14
ref
absTerm
174
def
36
ref
appTerm
betaConv
appThm
"p"
164
ref
var
175
def
8
ref
1
ref
164
ref
165
ref
nil
cons
cons
opType
constTerm
176
def
175
ref
varTerm
177
def
appTerm
174
remove
appTerm
absTerm
178
def
168
ref
appTerm
betaConv
179
def
nil
8
ref
1
ref
165
ref
1
ref
165
ref
4
ref
cons
opType
180
def
nil
cons
cons
opType
constTerm
181
def
166
ref
appTerm
178
remove
appTerm
axiom
168
ref
refl
182
def
appThm
183
def
169
ref
assume
eqMp
eqMp
36
ref
refl
184
def
appThm
eqMp
sym
94
ref
eqMp
eqMp
nil
108
ref
170
remove
cons
110
ref
172
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
185
def
subst
eqMp
eqMp
186
def
subst
trans
sym
149
ref
refl
187
def
38
ref
8
ref
147
ref
constTerm
188
def
40
ref
appTerm
189
def
"Set.union"
const
190
def
1
ref
28
ref
33
ref
cons
opType
191
def
constTerm
192
def
37
ref
16
ref
28
ref
constTerm
193
def
appTerm
194
def
appTerm
39
ref
appTerm
195
def
appTerm
196
def
absTerm
197
def
39
ref
appTerm
198
def
betaConv
35
ref
158
ref
1
ref
29
ref
4
ref
cons
opType
199
def
constTerm
200
def
197
ref
appTerm
201
def
absTerm
202
def
36
ref
appTerm
203
def
betaConv
166
ref
refl
204
def
35
ref
200
ref
refl
205
def
38
ref
196
remove
assume
sym
188
ref
195
remove
appTerm
40
ref
appTerm
206
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
166
ref
35
ref
200
ref
38
ref
206
remove
absTerm
207
def
appTerm
208
def
absTerm
209
def
appTerm
210
def
axiom
211
def
eqMp
nil
25
ref
166
ref
202
ref
appTerm
nil
cons
cons
43
ref
203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
27
ref
cons
212
def
nil
cons
213
def
167
ref
202
remove
nil
cons
cons
35
ref
36
ref
nil
cons
214
def
cons
nil
cons
215
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
201
remove
nil
cons
cons
43
ref
198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
31
ref
cons
216
def
nil
cons
217
def
"P"
29
ref
var
218
def
197
remove
nil
cons
cons
"x"
28
ref
var
219
def
39
ref
nil
cons
220
def
cons
nil
cons
221
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
222
def
appThm
sym
nil
141
ref
194
ref
nil
cons
223
def
cons
nil
cons
nil
cons
cons
nil
96
ref
149
ref
192
ref
142
ref
appTerm
224
def
39
ref
appTerm
225
def
appTerm
226
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
141
ref
226
remove
absTerm
227
def
142
ref
appTerm
228
def
betaConv
38
ref
200
ref
227
ref
appTerm
229
def
absTerm
230
def
39
ref
appTerm
231
def
betaConv
nil
200
ref
230
ref
appTerm
232
def
axiom
nil
25
ref
232
remove
nil
cons
cons
43
ref
231
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
230
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
229
remove
nil
cons
cons
43
ref
228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
227
remove
nil
cons
cons
219
ref
142
ref
nil
cons
233
def
cons
nil
cons
234
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
235
def
subst
sym
94
ref
eqMp
eqMp
eqMp
eqMp
217
ref
218
ref
152
ref
nil
cons
cons
236
def
219
ref
40
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
52
ref
"Data.Bool.?"
const
237
def
165
ref
constTerm
238
def
168
ref
appTerm
239
def
appTerm
240
def
refl
175
ref
159
ref
43
ref
50
ref
166
ref
35
ref
50
ref
177
ref
36
ref
appTerm
241
def
appTerm
242
def
55
ref
appTerm
absTerm
appTerm
243
def
appTerm
55
ref
appTerm
absTerm
appTerm
absTerm
244
def
168
ref
appTerm
betaConv
appThm
nil
181
ref
238
ref
appTerm
244
remove
appTerm
axiom
182
ref
appThm
eqMp
245
def
sym
nil
161
ref
110
ref
50
ref
166
ref
35
ref
50
ref
171
ref
appTerm
246
def
114
ref
appTerm
247
def
absTerm
248
def
appTerm
249
def
appTerm
250
def
114
ref
appTerm
251
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
24
ref
52
ref
169
remove
appTerm
refl
179
remove
appThm
183
remove
eqMp
sym
252
def
subst
253
def
subst
110
ref
nil
96
ref
251
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
249
ref
nil
cons
254
def
cons
255
def
43
ref
114
ref
nil
cons
256
def
cons
nil
cons
257
def
cons
nil
cons
cons
258
def
76
ref
subst
258
ref
107
ref
subst
nil
25
ref
172
ref
cons
257
ref
cons
nil
cons
cons
259
def
135
ref
subst
260
def
248
ref
36
ref
appTerm
261
def
betaConv
nil
255
ref
43
ref
261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
248
remove
nil
cons
cons
262
def
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
263
def
eqMp
eqMp
nil
108
ref
254
ref
cons
264
def
110
ref
256
ref
cons
nil
cons
265
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
266
def
subst
proveHyp
nil
25
ref
237
ref
199
ref
constTerm
267
def
152
ref
appTerm
268
def
nil
cons
269
def
cons
270
def
46
ref
cons
nil
cons
cons
271
def
135
ref
subst
272
def
proveHyp
38
ref
50
ref
268
remove
appTerm
273
def
44
ref
appTerm
274
def
absTerm
275
def
39
ref
appTerm
276
def
betaConv
77
ref
205
ref
38
ref
205
ref
141
ref
38
ref
141
ref
50
ref
151
ref
appTerm
44
ref
appTerm
absTerm
277
def
absTerm
278
def
39
ref
appTerm
betaConv
142
ref
refl
279
def
appThm
277
ref
142
ref
appTerm
280
def
betaConv
281
def
trans
282
def
absThm
appThm
absThm
appThm
appThm
205
ref
141
ref
205
ref
38
ref
282
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
147
ref
var
278
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
31
ref
cons
283
def
217
ref
cons
23
ref
cons
284
def
"p"
1
ref
26
ref
1
ref
"B"
varType
285
def
4
ref
cons
opType
286
def
nil
cons
287
def
cons
opType
288
def
var
289
def
52
ref
166
ref
35
ref
158
ref
1
ref
286
ref
4
ref
cons
opType
290
def
constTerm
291
def
"y"
285
ref
var
292
def
289
ref
varTerm
293
def
36
ref
appTerm
292
ref
varTerm
294
def
appTerm
295
def
absTerm
appTerm
absTerm
appTerm
appTerm
291
ref
292
ref
166
ref
35
ref
295
ref
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
296
def
293
ref
appTerm
297
def
betaConv
nil
158
ref
1
ref
1
ref
288
ref
4
ref
cons
opType
298
def
4
ref
cons
opType
constTerm
299
def
296
ref
appTerm
300
def
axiom
nil
25
ref
300
remove
nil
cons
cons
43
ref
297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
288
ref
nil
cons
cons
nil
cons
301
def
"P"
298
remove
var
302
def
296
remove
nil
cons
cons
"x"
288
ref
var
303
def
293
ref
nil
cons
cons
nil
cons
304
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
305
def
subst
subst
eqMp
sym
205
ref
141
ref
205
ref
38
ref
nil
"r"
3
ref
var
306
def
45
ref
cons
307
def
43
ref
150
ref
nil
cons
308
def
cons
25
ref
143
ref
nil
cons
309
def
cons
310
def
nil
cons
311
def
cons
cons
nil
cons
cons
306
ref
52
ref
50
ref
68
ref
appTerm
306
ref
varTerm
312
def
appTerm
313
def
appTerm
63
ref
127
ref
312
ref
appTerm
314
def
appTerm
315
def
appTerm
316
def
absTerm
317
def
312
ref
appTerm
318
def
betaConv
43
ref
159
ref
317
ref
appTerm
319
def
absTerm
320
def
55
ref
appTerm
321
def
betaConv
25
ref
159
ref
320
ref
appTerm
322
def
absTerm
323
def
53
ref
appTerm
324
def
betaConv
159
ref
refl
325
def
25
ref
325
ref
43
ref
325
ref
306
ref
316
remove
assume
sym
52
ref
315
remove
appTerm
313
ref
appTerm
326
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
159
ref
25
ref
159
ref
43
ref
159
ref
306
ref
326
remove
absTerm
327
def
appTerm
328
def
absTerm
329
def
appTerm
330
def
absTerm
331
def
appTerm
332
def
axiom
333
def
eqMp
nil
25
ref
159
ref
323
ref
appTerm
nil
cons
cons
43
ref
324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
323
remove
nil
cons
cons
20
ref
97
ref
cons
nil
cons
334
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
322
remove
nil
cons
cons
43
ref
321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
320
remove
nil
cons
cons
20
ref
59
ref
cons
nil
cons
335
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
319
remove
nil
cons
cons
43
ref
318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
317
remove
nil
cons
cons
20
ref
312
ref
nil
cons
336
def
cons
nil
cons
337
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
338
def
subst
absThm
appThm
absThm
appThm
sym
205
ref
141
ref
77
ref
205
ref
38
ref
50
ref
143
ref
appTerm
339
def
refl
340
def
38
ref
50
ref
150
ref
appTerm
341
def
44
ref
appTerm
absTerm
342
def
39
ref
appTerm
betaConv
343
def
appThm
absThm
appThm
appThm
340
ref
205
ref
38
ref
343
remove
absThm
appThm
appThm
appThm
nil
"q"
29
ref
var
344
def
342
ref
nil
cons
cons
311
ref
cons
nil
cons
cons
217
ref
23
ref
cons
345
def
"q"
164
ref
var
346
def
52
ref
166
ref
35
ref
63
ref
346
ref
varTerm
347
def
36
ref
appTerm
348
def
appTerm
absTerm
349
def
appTerm
appTerm
63
ref
166
ref
35
ref
348
ref
absTerm
350
def
appTerm
351
def
appTerm
appTerm
absTerm
352
def
347
ref
appTerm
353
def
betaConv
25
ref
158
ref
180
ref
constTerm
354
def
352
ref
appTerm
355
def
absTerm
356
def
53
ref
appTerm
357
def
betaConv
nil
159
ref
356
ref
appTerm
358
def
axiom
nil
25
ref
358
remove
nil
cons
cons
43
ref
357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
356
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
355
remove
nil
cons
cons
43
ref
353
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
164
ref
nil
cons
359
def
cons
360
def
nil
cons
361
def
"P"
165
ref
var
362
def
352
remove
nil
cons
cons
"x"
164
ref
var
363
def
347
ref
nil
cons
cons
nil
cons
364
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
365
def
subst
366
def
subst
eqMp
absThm
appThm
sym
205
ref
38
ref
51
ref
38
ref
52
ref
149
ref
193
ref
appTerm
367
def
appTerm
188
ref
39
ref
appTerm
368
def
193
ref
appTerm
369
def
appTerm
absTerm
370
def
39
ref
appTerm
371
def
betaConv
nil
200
ref
370
ref
appTerm
372
def
axiom
nil
25
ref
372
remove
nil
cons
cons
43
ref
371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
370
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
373
def
appThm
44
ref
refl
374
def
appThm
absThm
appThm
sym
nil
218
ref
38
ref
50
ref
369
ref
appTerm
44
ref
appTerm
375
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
252
ref
subst
376
def
subst
38
ref
nil
96
ref
375
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
369
ref
nil
cons
377
def
cons
378
def
46
ref
cons
nil
cons
cons
379
def
76
ref
subst
379
remove
107
ref
subst
30
ref
refl
380
def
369
ref
assume
381
def
appThm
382
def
nil
96
ref
30
ref
193
ref
appTerm
383
def
nil
cons
384
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
383
ref
axiom
385
def
eqMp
386
def
trans
387
def
sym
94
ref
eqMp
eqMp
nil
108
ref
377
ref
cons
388
def
110
ref
45
ref
cons
nil
cons
389
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
390
def
eqMp
nil
25
ref
200
ref
38
ref
50
ref
367
ref
appTerm
44
ref
appTerm
absTerm
appTerm
391
def
nil
cons
cons
43
ref
166
ref
35
ref
200
ref
38
ref
50
ref
200
ref
"s'"
28
ref
var
392
def
50
ref
148
ref
392
ref
varTerm
393
def
appTerm
394
def
39
ref
appTerm
395
def
appTerm
30
ref
393
ref
appTerm
396
def
appTerm
absTerm
appTerm
appTerm
200
ref
392
ref
50
ref
394
ref
40
ref
appTerm
appTerm
396
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
397
def
absTerm
398
def
appTerm
399
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
398
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
397
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
"u"
28
ref
var
400
def
50
ref
200
ref
392
ref
50
ref
394
ref
400
ref
varTerm
401
def
appTerm
appTerm
396
ref
appTerm
absTerm
402
def
appTerm
403
def
appTerm
200
ref
392
ref
50
ref
394
ref
37
ref
401
ref
appTerm
404
def
appTerm
appTerm
396
ref
appTerm
absTerm
appTerm
405
def
appTerm
406
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
406
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
403
remove
nil
cons
407
def
cons
408
def
43
ref
405
remove
nil
cons
409
def
cons
nil
cons
cons
nil
cons
cons
410
def
76
ref
subst
410
remove
107
ref
subst
nil
218
ref
141
ref
50
ref
148
ref
142
ref
appTerm
411
def
404
ref
appTerm
412
def
appTerm
143
ref
appTerm
413
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
413
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
412
ref
nil
cons
414
def
cons
415
def
43
ref
309
ref
cons
416
def
nil
cons
417
def
cons
nil
cons
cons
418
def
76
ref
subst
418
remove
107
ref
subst
nil
25
ref
"Data.Bool.~"
const
48
remove
constTerm
419
def
"Set.member"
const
420
def
1
ref
26
ref
146
ref
cons
opType
421
def
constTerm
422
def
36
ref
appTerm
423
def
142
ref
appTerm
424
def
appTerm
425
def
nil
cons
426
def
cons
427
def
417
ref
cons
nil
cons
cons
428
def
76
ref
subst
428
remove
107
ref
subst
nil
415
remove
43
ref
411
ref
401
ref
appTerm
429
def
nil
cons
430
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
51
ref
nil
141
ref
404
remove
nil
cons
cons
38
ref
233
ref
cons
431
def
nil
cons
432
def
cons
nil
cons
cons
141
ref
52
ref
150
ref
appTerm
433
def
166
ref
35
ref
50
ref
423
ref
39
ref
appTerm
434
def
appTerm
435
def
424
ref
appTerm
absTerm
appTerm
appTerm
absTerm
436
def
142
ref
appTerm
437
def
betaConv
38
ref
200
ref
436
ref
appTerm
438
def
absTerm
439
def
39
ref
appTerm
440
def
betaConv
nil
200
ref
439
ref
appTerm
441
def
axiom
nil
25
ref
441
remove
nil
cons
cons
43
ref
440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
439
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
438
remove
nil
cons
cons
43
ref
437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
436
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
442
def
subst
204
ref
"x'"
26
ref
var
443
def
50
ref
422
ref
443
ref
varTerm
444
def
appTerm
445
def
142
ref
appTerm
446
def
appTerm
447
def
refl
nil
38
ref
401
ref
nil
cons
448
def
cons
"y"
26
ref
var
449
def
214
ref
cons
450
def
35
ref
444
ref
nil
cons
451
def
cons
nil
cons
452
def
cons
453
def
cons
nil
cons
cons
38
ref
52
ref
423
ref
34
ref
449
ref
varTerm
454
def
appTerm
455
def
39
ref
appTerm
appTerm
appTerm
"Data.Bool.\\/"
const
49
remove
constTerm
456
def
8
ref
1
ref
26
ref
359
ref
cons
opType
457
def
constTerm
458
def
36
ref
appTerm
459
def
454
ref
appTerm
460
def
appTerm
461
def
434
ref
appTerm
appTerm
absTerm
462
def
39
ref
appTerm
463
def
betaConv
449
ref
200
ref
462
ref
appTerm
464
def
absTerm
465
def
454
ref
appTerm
466
def
betaConv
35
ref
166
ref
465
ref
appTerm
467
def
absTerm
468
def
36
ref
appTerm
469
def
betaConv
nil
166
ref
468
ref
appTerm
470
def
axiom
nil
25
ref
470
remove
nil
cons
cons
43
ref
469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
468
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
467
remove
nil
cons
cons
43
ref
466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
465
remove
nil
cons
cons
35
ref
454
ref
nil
cons
471
def
cons
nil
cons
472
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
464
remove
nil
cons
cons
43
ref
463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
462
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
473
def
subst
appThm
absThm
appThm
trans
appThm
nil
141
ref
448
ref
cons
474
def
432
ref
cons
nil
cons
cons
475
def
442
ref
subst
appThm
sym
nil
25
ref
166
ref
443
ref
447
ref
456
ref
458
ref
444
ref
appTerm
476
def
36
ref
appTerm
477
def
appTerm
478
def
445
ref
401
ref
appTerm
479
def
appTerm
480
def
appTerm
481
def
absTerm
482
def
appTerm
nil
cons
483
def
cons
484
def
43
ref
166
ref
35
ref
50
ref
424
ref
appTerm
485
def
423
ref
401
ref
appTerm
486
def
appTerm
absTerm
appTerm
nil
cons
487
def
cons
nil
cons
cons
nil
cons
cons
488
def
76
ref
subst
488
remove
107
ref
subst
nil
167
ref
443
ref
447
remove
479
ref
appTerm
489
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
489
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
446
ref
nil
cons
490
def
cons
491
def
43
ref
479
ref
nil
cons
492
def
cons
nil
cons
493
def
cons
nil
cons
cons
494
def
76
ref
subst
494
remove
107
ref
subst
482
ref
444
ref
appTerm
495
def
betaConv
nil
484
remove
43
ref
495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
482
remove
nil
cons
cons
452
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
481
remove
nil
cons
cons
493
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
nil
96
ref
490
ref
cons
nil
cons
nil
cons
cons
496
def
102
ref
subst
446
remove
assume
eqMp
appThm
480
ref
refl
appThm
nil
96
ref
480
ref
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
50
ref
14
ref
appTerm
497
def
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
498
def
99
ref
appTerm
499
def
betaConv
nil
159
ref
498
ref
appTerm
500
def
axiom
nil
25
ref
500
remove
nil
cons
cons
43
ref
499
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
498
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
501
def
subst
trans
appThm
479
ref
refl
appThm
sym
nil
108
ref
477
ref
nil
cons
502
def
cons
503
def
nil
cons
nil
cons
cons
52
ref
419
ref
112
ref
appTerm
504
def
appTerm
refl
25
ref
63
ref
15
ref
appTerm
absTerm
505
def
112
ref
appTerm
betaConv
appThm
nil
89
ref
419
ref
appTerm
505
remove
appTerm
axiom
120
ref
appThm
eqMp
506
def
sym
507
def
subst
nil
25
ref
502
ref
cons
508
def
43
ref
15
ref
nil
cons
509
def
cons
nil
cons
510
def
cons
nil
cons
cons
511
def
76
ref
subst
511
remove
107
ref
subst
nil
491
remove
510
ref
cons
nil
cons
cons
135
ref
subst
496
remove
96
ref
52
ref
50
ref
99
ref
appTerm
512
def
15
ref
appTerm
appTerm
419
ref
99
ref
appTerm
513
def
appTerm
absTerm
514
def
99
ref
appTerm
515
def
betaConv
nil
159
ref
514
ref
appTerm
516
def
axiom
nil
25
ref
516
remove
nil
cons
cons
43
ref
515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
514
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
517
def
subst
419
ref
refl
518
def
422
ref
refl
519
def
477
ref
assume
appThm
520
def
279
ref
appThm
nil
427
remove
43
ref
52
ref
424
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
424
ref
nil
cons
521
def
cons
522
def
nil
cons
nil
cons
cons
nil
25
ref
504
ref
nil
cons
523
def
cons
43
ref
52
ref
112
ref
appTerm
15
ref
appTerm
nil
cons
524
def
cons
nil
cons
cons
nil
cons
cons
525
def
76
ref
subst
525
remove
107
ref
subst
nil
25
ref
112
ref
nil
cons
526
def
cons
527
def
510
ref
cons
nil
cons
cons
140
ref
subst
506
remove
504
remove
assume
eqMp
nil
25
ref
50
ref
112
ref
appTerm
528
def
15
ref
appTerm
nil
cons
cons
43
ref
50
ref
15
ref
appTerm
529
def
112
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
509
ref
cons
43
ref
526
ref
cons
nil
cons
cons
nil
cons
cons
530
def
76
ref
subst
530
remove
107
ref
subst
25
ref
53
ref
absTerm
531
def
112
ref
appTerm
532
def
betaConv
nil
52
ref
15
ref
appTerm
533
def
159
ref
531
ref
appTerm
534
def
appTerm
axiom
15
ref
assume
eqMp
nil
25
ref
534
remove
nil
cons
cons
43
ref
532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
531
remove
nil
cons
cons
20
ref
526
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
535
def
eqMp
nil
108
ref
509
ref
cons
110
ref
526
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
523
remove
cons
110
ref
524
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
536
def
subst
eqMp
trans
appThm
nil
52
ref
419
ref
15
ref
appTerm
537
def
appTerm
538
def
14
ref
appTerm
axiom
539
def
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
503
ref
110
ref
509
ref
cons
nil
cons
540
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
419
ref
477
ref
appTerm
nil
cons
cons
43
ref
50
ref
480
remove
appTerm
479
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"y"
3
ref
var
541
def
492
ref
cons
20
ref
502
ref
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
52
ref
20
ref
varTerm
542
def
appTerm
543
def
15
ref
appTerm
544
def
nil
cons
545
def
cons
546
def
43
ref
50
ref
419
ref
542
ref
appTerm
547
def
appTerm
50
ref
456
ref
542
ref
appTerm
541
ref
varTerm
548
def
appTerm
appTerm
548
ref
appTerm
appTerm
nil
cons
549
def
cons
nil
cons
550
def
cons
nil
cons
cons
551
def
76
ref
subst
551
remove
107
ref
subst
52
ref
"_11020"
3
ref
var
552
def
50
ref
419
ref
552
remove
varTerm
553
def
appTerm
appTerm
50
ref
456
ref
553
remove
appTerm
548
ref
appTerm
appTerm
548
ref
appTerm
appTerm
absTerm
554
def
542
ref
appTerm
555
def
appTerm
refl
556
def
554
ref
15
ref
appTerm
betaConv
appThm
77
ref
555
remove
betaConv
appThm
557
def
50
ref
537
ref
appTerm
558
def
50
ref
456
ref
15
ref
appTerm
559
def
548
ref
appTerm
appTerm
548
ref
appTerm
appTerm
refl
appThm
trans
554
remove
refl
560
def
544
remove
assume
561
def
appThm
eqMp
sym
51
ref
539
ref
appThm
562
def
51
ref
nil
96
ref
548
ref
nil
cons
cons
nil
cons
nil
cons
cons
563
def
96
ref
52
ref
559
ref
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
564
def
99
ref
appTerm
565
def
betaConv
nil
159
ref
564
ref
appTerm
566
def
axiom
nil
25
ref
566
remove
nil
cons
cons
43
ref
565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
564
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
567
def
subst
appThm
548
ref
refl
568
def
appThm
563
ref
nil
96
ref
512
ref
99
ref
appTerm
569
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
96
ref
569
remove
absTerm
570
def
99
ref
appTerm
571
def
betaConv
nil
159
ref
570
ref
appTerm
572
def
axiom
nil
25
ref
572
remove
nil
cons
cons
43
ref
571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
570
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
573
def
subst
574
def
trans
appThm
nil
96
ref
21
ref
cons
nil
cons
nil
cons
cons
575
def
501
ref
subst
576
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
545
ref
cons
577
def
110
ref
549
ref
cons
nil
cons
578
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
543
ref
14
ref
appTerm
579
def
nil
cons
580
def
cons
581
def
550
remove
cons
nil
cons
cons
582
def
76
ref
subst
582
remove
107
ref
subst
556
remove
"_11018"
3
ref
var
583
def
50
ref
419
ref
583
remove
varTerm
584
def
appTerm
appTerm
50
ref
456
ref
584
remove
appTerm
548
ref
appTerm
appTerm
548
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
557
remove
50
ref
419
ref
14
ref
appTerm
585
def
appTerm
586
def
50
ref
456
ref
14
ref
appTerm
587
def
548
ref
appTerm
appTerm
548
ref
appTerm
appTerm
refl
appThm
trans
560
remove
579
remove
assume
588
def
appThm
eqMp
sym
51
ref
nil
52
ref
585
ref
appTerm
589
def
15
ref
appTerm
axiom
590
def
appThm
591
def
51
ref
563
ref
96
ref
52
ref
587
ref
99
ref
appTerm
appTerm
14
ref
appTerm
absTerm
592
def
99
ref
appTerm
593
def
betaConv
nil
159
ref
592
ref
appTerm
594
def
axiom
nil
25
ref
594
remove
nil
cons
cons
43
ref
593
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
592
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
595
def
subst
appThm
568
remove
appThm
563
ref
501
ref
subst
596
def
trans
appThm
563
ref
96
ref
52
ref
529
ref
99
ref
appTerm
appTerm
14
ref
appTerm
absTerm
597
def
99
ref
appTerm
598
def
betaConv
nil
159
ref
597
ref
appTerm
599
def
axiom
nil
25
ref
599
remove
nil
cons
cons
43
ref
598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
597
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
600
def
subst
601
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
580
remove
cons
602
def
578
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
96
ref
456
ref
101
ref
appTerm
100
remove
15
ref
appTerm
603
def
appTerm
absTerm
604
def
542
ref
appTerm
605
def
betaConv
nil
159
ref
604
ref
appTerm
606
def
axiom
607
def
nil
25
ref
606
remove
nil
cons
cons
608
def
43
ref
605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
604
ref
nil
cons
cons
609
def
20
ref
542
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
610
def
nil
602
ref
110
ref
545
remove
cons
611
def
"R"
3
ref
var
612
def
549
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
25
ref
50
ref
114
ref
appTerm
613
def
612
ref
varTerm
614
def
appTerm
615
def
nil
cons
cons
43
ref
614
ref
nil
cons
616
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
25
ref
528
ref
614
ref
appTerm
nil
cons
cons
43
ref
50
ref
615
remove
appTerm
614
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
306
ref
50
ref
528
ref
312
ref
appTerm
appTerm
617
def
50
ref
613
ref
312
ref
appTerm
appTerm
312
ref
appTerm
appTerm
absTerm
618
def
614
remove
appTerm
619
def
betaConv
52
ref
456
ref
112
ref
appTerm
620
def
114
ref
appTerm
621
def
appTerm
refl
43
ref
159
ref
306
ref
617
remove
50
ref
314
ref
appTerm
312
ref
appTerm
622
def
appTerm
absTerm
appTerm
absTerm
114
ref
appTerm
betaConv
appThm
89
remove
620
remove
appTerm
refl
25
ref
43
ref
159
ref
306
ref
50
ref
63
ref
312
ref
appTerm
623
def
appTerm
622
remove
appTerm
absTerm
appTerm
absTerm
absTerm
624
def
112
remove
appTerm
betaConv
appThm
nil
73
remove
456
ref
appTerm
624
remove
appTerm
axiom
120
remove
appThm
eqMp
117
remove
appThm
eqMp
625
def
621
remove
assume
eqMp
nil
25
ref
159
ref
618
ref
appTerm
nil
cons
cons
43
ref
619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
618
remove
nil
cons
cons
20
ref
616
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
626
def
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
490
remove
cons
110
ref
492
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
483
remove
cons
110
ref
487
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
430
remove
cons
417
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
392
ref
233
ref
cons
nil
cons
nil
cons
cons
627
def
402
ref
393
ref
appTerm
628
def
betaConv
nil
408
remove
43
ref
628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
402
remove
nil
cons
cons
219
ref
393
ref
nil
cons
629
def
cons
nil
cons
630
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
631
def
subst
eqMp
eqMp
nil
108
ref
426
ref
cons
110
ref
309
ref
cons
632
def
nil
cons
633
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
521
ref
cons
634
def
417
ref
cons
nil
cons
cons
635
def
76
ref
subst
635
remove
107
ref
subst
38
ref
435
ref
188
ref
37
ref
"Set.delete"
const
1
ref
28
ref
1
ref
26
ref
31
ref
cons
opType
636
def
nil
cons
637
def
cons
opType
constTerm
638
def
39
ref
appTerm
36
ref
appTerm
639
def
appTerm
appTerm
39
ref
appTerm
640
def
appTerm
641
def
absTerm
642
def
142
ref
appTerm
643
def
betaConv
35
ref
200
ref
642
ref
appTerm
644
def
absTerm
645
def
36
ref
appTerm
646
def
betaConv
nil
166
ref
645
ref
appTerm
647
def
axiom
nil
25
ref
647
remove
nil
cons
cons
43
ref
646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
645
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
648
def
nil
25
ref
644
remove
nil
cons
cons
649
def
43
ref
643
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
642
ref
nil
cons
cons
650
def
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
485
ref
188
ref
37
ref
638
remove
142
ref
appTerm
36
ref
appTerm
651
def
appTerm
652
def
appTerm
142
ref
appTerm
653
def
appTerm
nil
cons
cons
417
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
nil
96
ref
521
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
424
ref
assume
eqMp
654
def
appThm
653
ref
refl
appThm
nil
96
ref
653
ref
nil
cons
655
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
143
ref
refl
656
def
appThm
sym
nil
25
ref
655
ref
cons
417
ref
cons
nil
cons
cons
657
def
76
ref
subst
657
remove
107
ref
subst
380
ref
653
remove
assume
sym
appThm
sym
475
remove
141
ref
52
ref
148
ref
639
ref
appTerm
658
def
142
ref
appTerm
659
def
appTerm
149
ref
37
ref
142
ref
appTerm
appTerm
660
def
appTerm
661
def
absTerm
662
def
142
ref
appTerm
663
def
betaConv
38
ref
200
ref
662
ref
appTerm
664
def
absTerm
665
def
39
ref
appTerm
666
def
betaConv
35
ref
200
ref
665
ref
appTerm
667
def
absTerm
668
def
36
ref
appTerm
669
def
betaConv
204
ref
35
ref
205
ref
38
ref
205
ref
141
ref
661
remove
assume
sym
52
ref
660
remove
appTerm
659
ref
appTerm
670
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
166
ref
35
ref
200
ref
38
ref
200
ref
141
ref
670
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
166
ref
668
ref
appTerm
nil
cons
cons
43
ref
669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
668
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
667
remove
nil
cons
cons
43
ref
666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
665
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
664
remove
nil
cons
cons
43
ref
663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
662
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
nil
96
ref
414
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
412
remove
assume
eqMp
trans
sym
94
ref
eqMp
nil
25
ref
148
ref
651
ref
appTerm
401
ref
appTerm
nil
cons
cons
43
ref
30
ref
651
ref
appTerm
nil
cons
671
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
392
ref
651
remove
nil
cons
672
def
cons
nil
cons
nil
cons
cons
631
remove
subst
eqMp
nil
25
ref
671
remove
cons
43
ref
30
ref
652
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
38
ref
672
remove
cons
nil
cons
nil
cons
cons
38
ref
50
ref
44
ref
appTerm
673
def
41
ref
appTerm
674
def
absTerm
675
def
39
ref
appTerm
676
def
betaConv
35
ref
200
ref
675
ref
appTerm
677
def
absTerm
678
def
36
ref
appTerm
679
def
betaConv
nil
166
ref
678
ref
appTerm
680
def
axiom
nil
25
ref
680
remove
nil
cons
cons
43
ref
679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
678
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
677
remove
nil
cons
cons
43
ref
676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
675
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
681
def
subst
eqMp
eqMp
eqMp
nil
108
ref
655
remove
cons
633
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
522
ref
633
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
96
ref
456
ref
99
ref
appTerm
682
def
513
ref
appTerm
absTerm
683
def
424
ref
appTerm
684
def
betaConv
nil
159
ref
683
ref
appTerm
685
def
axiom
686
def
nil
25
ref
685
remove
nil
cons
cons
687
def
43
ref
684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
683
ref
nil
cons
cons
688
def
20
ref
521
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
522
ref
110
ref
426
remove
cons
612
ref
309
ref
cons
nil
cons
689
def
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
414
remove
cons
633
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
407
remove
cons
110
ref
409
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
391
remove
appTerm
399
remove
appTerm
nil
cons
cons
43
ref
200
ref
141
ref
339
ref
200
ref
342
remove
appTerm
690
def
appTerm
absTerm
691
def
appTerm
nil
cons
692
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
141
ref
690
remove
absTerm
693
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
693
ref
39
ref
appTerm
betaConv
appThm
693
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
141
ref
340
ref
693
ref
142
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
"p"
29
ref
var
694
def
693
remove
nil
cons
cons
nil
cons
nil
cons
cons
694
ref
50
ref
66
ref
694
ref
varTerm
695
def
193
ref
appTerm
696
def
appTerm
697
def
166
ref
35
ref
200
ref
38
ref
50
ref
695
ref
39
ref
appTerm
698
def
appTerm
695
ref
40
ref
appTerm
699
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
200
ref
"a"
28
ref
var
700
def
50
ref
30
ref
700
ref
varTerm
701
def
appTerm
appTerm
695
ref
701
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
702
def
695
ref
appTerm
703
def
betaConv
nil
158
ref
1
ref
199
ref
4
ref
cons
opType
constTerm
704
def
702
ref
appTerm
705
def
axiom
nil
25
ref
705
remove
nil
cons
cons
43
ref
703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
146
ref
cons
nil
cons
706
def
"P"
199
remove
var
707
def
702
remove
nil
cons
cons
"x"
29
ref
var
695
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
708
def
subst
eqMp
eqMp
709
def
eqMp
eqMp
eqMp
710
def
nil
25
ref
200
ref
38
ref
200
ref
277
ref
appTerm
711
def
absTerm
712
def
appTerm
713
def
nil
cons
714
def
cons
715
def
43
ref
200
ref
275
ref
appTerm
nil
cons
716
def
cons
nil
cons
cons
nil
cons
cons
717
def
135
ref
subst
proveHyp
717
ref
76
ref
subst
717
remove
107
ref
subst
nil
218
ref
275
remove
nil
cons
cons
718
def
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
274
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
271
ref
76
ref
subst
271
remove
107
ref
subst
nil
715
ref
46
ref
cons
nil
cons
cons
719
def
135
ref
subst
nil
270
remove
43
ref
50
ref
713
ref
appTerm
44
ref
appTerm
720
def
nil
cons
721
def
cons
nil
cons
722
def
cons
nil
cons
cons
135
ref
subst
nil
218
ref
141
ref
50
ref
152
ref
142
ref
appTerm
723
def
appTerm
720
ref
appTerm
724
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
724
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
723
ref
nil
cons
725
def
cons
722
ref
cons
nil
cons
cons
726
def
76
ref
subst
726
remove
107
ref
subst
723
ref
betaConv
727
def
723
remove
assume
eqMp
nil
25
ref
151
remove
nil
cons
728
def
cons
729
def
722
remove
cons
nil
cons
cons
730
def
135
ref
subst
proveHyp
730
ref
76
ref
subst
730
remove
107
ref
subst
719
ref
76
ref
subst
719
remove
107
ref
subst
nil
729
remove
46
ref
cons
nil
cons
cons
135
ref
subst
281
remove
712
ref
39
ref
appTerm
731
def
betaConv
nil
715
remove
43
ref
731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
712
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
711
remove
nil
cons
cons
43
ref
280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
277
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
714
remove
cons
732
def
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
728
remove
cons
110
ref
721
remove
cons
nil
cons
733
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
725
remove
cons
733
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
152
ref
219
ref
varTerm
734
def
appTerm
appTerm
720
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
273
remove
720
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
236
ref
733
remove
cons
nil
cons
cons
nil
255
ref
43
ref
50
ref
239
ref
appTerm
735
def
114
ref
appTerm
nil
cons
736
def
cons
nil
cons
cons
nil
cons
cons
737
def
76
ref
subst
737
remove
107
ref
subst
nil
25
ref
239
ref
nil
cons
738
def
cons
739
def
257
ref
cons
nil
cons
cons
740
def
76
ref
subst
740
remove
107
ref
subst
258
remove
135
ref
subst
43
ref
50
ref
166
ref
35
ref
246
remove
55
ref
appTerm
absTerm
appTerm
appTerm
55
ref
appTerm
absTerm
741
def
114
ref
appTerm
742
def
betaConv
nil
739
remove
43
ref
159
ref
741
ref
appTerm
743
def
nil
cons
744
def
cons
nil
cons
cons
nil
cons
cons
745
def
135
ref
subst
245
remove
nil
25
ref
240
remove
743
ref
appTerm
nil
cons
cons
43
ref
735
remove
743
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
745
remove
nil
25
ref
56
ref
nil
cons
746
def
cons
747
def
43
ref
125
ref
cons
nil
cons
748
def
cons
nil
cons
cons
749
def
76
ref
subst
749
remove
107
ref
subst
124
remove
eqMp
nil
108
ref
746
remove
cons
750
def
110
ref
125
remove
cons
nil
cons
751
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
752
def
subst
eqMp
eqMp
nil
25
ref
744
remove
cons
43
ref
742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
741
remove
nil
cons
cons
20
ref
256
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
738
ref
cons
753
def
265
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
264
ref
110
ref
736
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
754
def
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
269
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
732
remove
110
ref
716
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
716
remove
cons
43
ref
276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
718
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
755
def
eqMp
eqMp
nil
108
ref
42
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
41
ref
appTerm
44
ref
appTerm
nil
cons
cons
43
ref
674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
681
ref
eqMp
eqMp
756
def
subst
757
def
subst
nil
19
remove
17
remove
nil
cons
cons
20
ref
509
ref
cons
nil
cons
cons
nil
cons
cons
757
remove
subst
24
ref
386
ref
subst
trans
trans
trans
758
def
sym
94
ref
eqMp
nil
7
remove
11
ref
appTerm
759
def
thm
nil
"s"
2
ref
"Number.Natural.natural"
typeOp
nil
opType
760
def
nil
cons
761
def
opType
762
def
var
763
def
10
ref
762
ref
constTerm
764
def
nil
cons
765
def
cons
766
def
nil
cons
nil
cons
cons
"A"
761
ref
cons
767
def
nil
cons
768
def
23
ref
cons
769
def
38
ref
52
ref
"Set.infinite"
const
770
def
29
ref
constTerm
771
def
39
ref
appTerm
772
def
appTerm
419
ref
44
ref
appTerm
773
def
appTerm
absTerm
774
def
39
ref
appTerm
775
def
betaConv
nil
200
ref
774
ref
appTerm
776
def
axiom
nil
25
ref
776
remove
nil
cons
cons
43
ref
775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
774
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
777
def
subst
778
def
subst
sym
nil
108
ref
0
ref
1
ref
762
ref
4
ref
cons
opType
779
def
constTerm
780
def
764
ref
appTerm
781
def
nil
cons
782
def
cons
783
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
782
ref
cons
510
ref
cons
nil
cons
cons
784
def
76
ref
subst
784
remove
107
ref
subst
763
ref
50
ref
780
ref
763
ref
varTerm
785
def
appTerm
786
def
appTerm
787
def
237
ref
1
ref
1
ref
760
ref
4
ref
cons
opType
788
def
4
ref
cons
opType
789
def
constTerm
790
def
"a"
760
ref
var
791
def
419
ref
420
ref
1
ref
760
ref
779
ref
nil
cons
792
def
cons
opType
constTerm
793
def
791
ref
varTerm
794
def
appTerm
795
def
785
ref
appTerm
appTerm
absTerm
796
def
appTerm
797
def
appTerm
798
def
absTerm
799
def
764
ref
appTerm
800
def
betaConv
nil
"P"
779
ref
var
801
def
799
ref
nil
cons
cons
802
def
nil
cons
nil
cons
cons
"A"
762
ref
nil
cons
803
def
cons
nil
cons
804
def
23
ref
cons
252
ref
subst
805
def
subst
763
ref
nil
96
ref
798
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
786
ref
nil
cons
806
def
cons
807
def
43
ref
797
ref
nil
cons
808
def
cons
nil
cons
809
def
cons
nil
cons
cons
810
def
76
ref
subst
810
remove
107
ref
subst
nil
807
remove
43
ref
790
ref
791
ref
158
ref
789
ref
constTerm
811
def
"x"
760
ref
var
812
def
50
ref
793
ref
812
ref
varTerm
813
def
appTerm
814
def
785
ref
appTerm
815
def
appTerm
816
def
"Number.Natural.<="
const
1
ref
760
ref
788
ref
nil
cons
817
def
cons
opType
818
def
constTerm
819
def
813
ref
appTerm
820
def
794
ref
appTerm
821
def
appTerm
absTerm
822
def
appTerm
823
def
absTerm
824
def
appTerm
825
def
nil
cons
826
def
cons
nil
cons
827
def
cons
nil
cons
cons
140
ref
subst
763
ref
787
ref
825
ref
appTerm
828
def
absTerm
829
def
785
ref
appTerm
830
def
betaConv
153
ref
790
ref
refl
831
def
791
ref
811
ref
refl
832
def
812
ref
51
ref
769
ref
35
ref
419
ref
423
ref
193
ref
appTerm
833
def
appTerm
834
def
absTerm
835
def
36
ref
appTerm
836
def
betaConv
nil
166
ref
835
ref
appTerm
837
def
axiom
nil
25
ref
837
remove
nil
cons
cons
43
ref
836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
835
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
834
ref
nil
cons
cons
43
ref
52
ref
833
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
833
ref
nil
cons
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
838
def
subst
appThm
821
ref
refl
appThm
nil
96
ref
821
ref
nil
cons
839
def
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
absThm
appThm
575
ref
769
ref
96
ref
52
ref
166
ref
35
ref
99
ref
absTerm
840
def
appTerm
appTerm
99
ref
appTerm
absTerm
841
def
99
ref
appTerm
842
def
betaConv
nil
159
ref
841
ref
appTerm
843
def
axiom
nil
25
ref
843
remove
nil
cons
cons
43
ref
842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
841
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
844
def
subst
subst
845
def
trans
absThm
appThm
575
ref
769
ref
96
ref
52
ref
238
ref
840
remove
appTerm
appTerm
99
ref
appTerm
absTerm
846
def
99
ref
appTerm
847
def
betaConv
nil
159
ref
846
ref
appTerm
848
def
axiom
nil
25
ref
848
remove
nil
cons
cons
43
ref
847
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
846
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
849
def
subst
850
def
subst
trans
appThm
832
ref
812
ref
158
ref
1
ref
779
ref
4
ref
cons
opType
851
def
constTerm
852
def
refl
853
def
763
ref
50
ref
66
ref
825
ref
appTerm
66
ref
419
ref
815
ref
appTerm
appTerm
786
ref
appTerm
854
def
appTerm
855
def
appTerm
856
def
refl
831
ref
791
ref
832
ref
"x'"
760
ref
var
857
def
51
ref
nil
"y"
760
ref
var
858
def
813
ref
nil
cons
859
def
cons
860
def
812
ref
857
ref
varTerm
861
def
nil
cons
862
def
cons
nil
cons
863
def
cons
nil
cons
cons
769
ref
473
ref
subst
subst
appThm
819
ref
861
ref
appTerm
864
def
794
ref
appTerm
865
def
refl
appThm
absThm
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
811
ref
812
ref
852
ref
763
ref
856
ref
790
ref
791
ref
811
ref
857
ref
50
ref
456
ref
8
ref
818
ref
constTerm
866
def
861
ref
appTerm
813
ref
appTerm
867
def
appTerm
793
ref
861
ref
appTerm
868
def
785
ref
appTerm
869
def
appTerm
870
def
appTerm
871
def
865
ref
appTerm
absTerm
appTerm
absTerm
872
def
appTerm
873
def
appTerm
874
def
absTerm
875
def
appTerm
876
def
absTerm
877
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
"P"
788
ref
var
878
def
877
remove
nil
cons
cons
nil
cons
nil
cons
cons
769
ref
252
ref
subst
879
def
subst
812
ref
nil
96
ref
876
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
801
ref
875
remove
nil
cons
cons
nil
cons
nil
cons
cons
805
ref
subst
763
ref
nil
96
ref
874
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
855
remove
nil
cons
880
def
cons
43
ref
873
ref
nil
cons
881
def
cons
nil
cons
882
def
cons
nil
cons
cons
883
def
76
ref
subst
883
remove
107
ref
subst
nil
108
ref
826
ref
cons
110
ref
854
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
nil
25
ref
826
ref
cons
882
ref
cons
nil
cons
cons
135
ref
subst
nil
878
ref
791
ref
50
ref
824
ref
794
ref
appTerm
884
def
appTerm
885
def
873
ref
appTerm
886
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
791
ref
nil
96
ref
886
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
884
ref
nil
cons
887
def
cons
888
def
882
ref
cons
nil
cons
cons
889
def
76
ref
subst
889
remove
107
ref
subst
884
ref
betaConv
890
def
884
remove
assume
eqMp
891
def
nil
25
ref
823
ref
nil
cons
892
def
cons
893
def
882
remove
cons
nil
cons
cons
894
def
135
ref
subst
proveHyp
894
ref
76
ref
subst
894
remove
107
ref
subst
872
ref
"Number.Natural.max"
const
1
ref
760
ref
1
ref
760
ref
761
ref
cons
opType
895
def
nil
cons
896
def
cons
opType
897
def
constTerm
898
def
813
ref
appTerm
794
ref
appTerm
899
def
appTerm
betaConv
sym
nil
878
ref
857
ref
871
remove
864
ref
899
ref
appTerm
900
def
appTerm
901
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
857
ref
nil
96
ref
901
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
870
remove
nil
cons
902
def
cons
43
ref
900
remove
nil
cons
903
def
cons
nil
cons
904
def
cons
nil
cons
cons
905
def
76
ref
subst
905
remove
107
ref
subst
nil
25
ref
869
remove
nil
cons
906
def
cons
907
def
904
ref
cons
nil
cons
cons
908
def
76
ref
subst
908
remove
107
ref
subst
"n"
760
ref
var
909
def
66
ref
864
remove
909
ref
varTerm
910
def
appTerm
appTerm
819
ref
910
ref
appTerm
911
def
899
ref
appTerm
appTerm
absTerm
912
def
794
ref
appTerm
betaConv
sym
66
ref
865
ref
appTerm
refl
nil
"m"
760
ref
var
913
def
859
ref
cons
914
def
909
ref
794
ref
nil
cons
915
def
cons
916
def
nil
cons
917
def
cons
nil
cons
cons
nil
96
ref
911
ref
898
remove
913
ref
varTerm
918
def
appTerm
910
ref
appTerm
919
def
appTerm
920
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
909
ref
920
remove
absTerm
921
def
910
ref
appTerm
922
def
betaConv
913
ref
811
ref
921
ref
appTerm
923
def
absTerm
924
def
918
ref
appTerm
925
def
betaConv
nil
811
ref
924
ref
appTerm
926
def
axiom
nil
25
ref
926
remove
nil
cons
cons
43
ref
925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
924
remove
nil
cons
cons
812
ref
918
ref
nil
cons
927
def
cons
nil
cons
928
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
923
remove
nil
cons
cons
43
ref
922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
921
remove
nil
cons
cons
812
ref
910
ref
nil
cons
929
def
cons
nil
cons
930
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
appThm
nil
96
ref
865
ref
nil
cons
931
def
cons
nil
cons
nil
cons
cons
96
ref
52
ref
66
ref
99
ref
appTerm
932
def
14
ref
appTerm
appTerm
99
ref
appTerm
absTerm
933
def
99
ref
appTerm
934
def
betaConv
nil
159
ref
933
ref
appTerm
935
def
axiom
nil
25
ref
935
remove
nil
cons
cons
43
ref
934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
933
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
936
def
subst
trans
sym
nil
907
remove
43
ref
931
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
863
remove
nil
cons
cons
937
def
822
ref
813
ref
appTerm
938
def
betaConv
939
def
nil
893
ref
43
ref
938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
822
ref
nil
cons
940
def
cons
941
def
812
ref
859
ref
cons
nil
cons
942
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
768
ref
878
ref
912
ref
nil
cons
cons
812
ref
915
ref
cons
nil
cons
943
def
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
790
ref
912
remove
appTerm
nil
cons
cons
904
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"p"
760
ref
var
944
def
899
ref
nil
cons
945
def
cons
913
ref
862
remove
cons
nil
cons
cons
nil
cons
cons
944
ref
50
ref
790
ref
909
ref
66
ref
819
ref
918
ref
appTerm
946
def
910
ref
appTerm
947
def
appTerm
948
def
911
ref
944
ref
varTerm
949
def
appTerm
950
def
appTerm
951
def
absTerm
952
def
appTerm
953
def
appTerm
954
def
946
ref
949
ref
appTerm
955
def
appTerm
956
def
absTerm
957
def
949
ref
appTerm
958
def
betaConv
913
ref
811
ref
957
ref
appTerm
959
def
absTerm
960
def
918
ref
appTerm
961
def
betaConv
nil
811
ref
913
ref
811
ref
909
ref
811
ref
944
ref
50
ref
951
ref
appTerm
955
ref
appTerm
absTerm
962
def
appTerm
963
def
absTerm
964
def
appTerm
965
def
absTerm
966
def
appTerm
967
def
axiom
nil
25
ref
967
ref
nil
cons
968
def
cons
969
def
43
ref
811
ref
960
ref
appTerm
nil
cons
970
def
cons
nil
cons
cons
nil
cons
cons
971
def
135
ref
subst
proveHyp
971
ref
76
ref
subst
971
remove
107
ref
subst
nil
878
ref
960
remove
nil
cons
cons
972
def
nil
cons
nil
cons
cons
879
ref
subst
913
ref
nil
96
ref
959
remove
nil
cons
973
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
878
ref
957
remove
nil
cons
cons
974
def
nil
cons
nil
cons
cons
879
ref
subst
944
ref
nil
96
ref
956
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
953
remove
nil
cons
975
def
cons
976
def
43
ref
955
ref
nil
cons
977
def
cons
nil
cons
978
def
cons
nil
cons
cons
979
def
76
ref
subst
979
remove
107
ref
subst
nil
969
ref
978
ref
cons
nil
cons
cons
980
def
135
ref
subst
nil
976
remove
43
ref
50
ref
967
remove
appTerm
955
remove
appTerm
981
def
nil
cons
982
def
cons
nil
cons
983
def
cons
nil
cons
cons
135
ref
subst
nil
878
ref
909
ref
50
ref
952
ref
910
ref
appTerm
984
def
appTerm
981
ref
appTerm
985
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
985
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
984
ref
nil
cons
986
def
cons
983
ref
cons
nil
cons
cons
987
def
76
ref
subst
987
remove
107
ref
subst
984
ref
betaConv
984
remove
assume
eqMp
nil
25
ref
951
remove
nil
cons
988
def
cons
989
def
983
remove
cons
nil
cons
cons
990
def
135
ref
subst
proveHyp
990
ref
76
ref
subst
990
remove
107
ref
subst
980
ref
76
ref
subst
980
remove
107
ref
subst
nil
989
remove
978
remove
cons
nil
cons
cons
135
ref
subst
962
ref
949
ref
appTerm
991
def
betaConv
964
ref
910
ref
appTerm
992
def
betaConv
966
ref
918
ref
appTerm
993
def
betaConv
nil
969
remove
43
ref
993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
966
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
965
remove
nil
cons
cons
43
ref
992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
964
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
963
remove
nil
cons
cons
43
ref
991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
962
remove
nil
cons
cons
812
ref
949
ref
nil
cons
994
def
cons
nil
cons
995
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
968
remove
cons
996
def
110
ref
977
remove
cons
nil
cons
997
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
988
remove
cons
110
ref
982
remove
cons
nil
cons
998
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
986
remove
cons
998
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
952
ref
813
ref
appTerm
appTerm
981
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
954
remove
981
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
952
remove
nil
cons
cons
998
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
975
remove
cons
997
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
996
remove
110
ref
970
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
970
remove
cons
43
ref
961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
972
remove
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
973
remove
cons
43
ref
958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
974
remove
995
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
999
def
subst
eqMp
eqMp
nil
108
ref
906
ref
cons
110
ref
903
ref
cons
nil
cons
1000
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
867
ref
nil
cons
1001
def
cons
904
remove
cons
nil
cons
cons
1002
def
76
ref
subst
1002
remove
107
ref
subst
819
ref
refl
1003
def
867
remove
assume
appThm
899
remove
refl
appThm
nil
916
ref
914
remove
nil
cons
1004
def
cons
nil
cons
cons
1005
def
nil
96
ref
946
ref
919
remove
appTerm
1006
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
909
ref
1006
remove
absTerm
1007
def
910
ref
appTerm
1008
def
betaConv
913
ref
811
ref
1007
ref
appTerm
1009
def
absTerm
1010
def
918
ref
appTerm
1011
def
betaConv
nil
811
ref
1010
ref
appTerm
1012
def
axiom
nil
25
ref
1012
remove
nil
cons
cons
43
ref
1011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1010
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1009
remove
nil
cons
cons
43
ref
1008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1007
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
1001
remove
cons
1013
def
1000
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1013
remove
110
ref
906
remove
cons
612
ref
903
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
902
remove
cons
1000
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
768
ref
878
ref
872
remove
nil
cons
cons
812
ref
945
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
892
remove
cons
1014
def
110
ref
881
remove
cons
nil
cons
1015
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
887
remove
cons
1016
def
1015
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
857
ref
50
ref
824
ref
861
ref
appTerm
appTerm
873
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
825
ref
appTerm
1017
def
873
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
824
ref
nil
cons
1018
def
cons
1019
def
1015
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
880
remove
cons
1015
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
790
ref
791
ref
811
ref
812
ref
50
ref
814
ref
16
ref
762
ref
constTerm
1020
def
appTerm
appTerm
821
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
811
ref
812
ref
852
ref
763
ref
856
remove
790
ref
791
ref
811
ref
857
ref
50
ref
868
remove
12
ref
1
ref
760
ref
1
ref
762
ref
803
ref
cons
opType
nil
cons
1021
def
cons
opType
constTerm
1022
def
813
ref
appTerm
785
ref
appTerm
1023
def
appTerm
appTerm
865
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
852
ref
829
ref
appTerm
nil
cons
1024
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
763
ref
825
ref
absTerm
1025
def
1020
ref
appTerm
betaConv
appThm
832
ref
812
ref
853
ref
763
ref
51
ref
153
ref
1025
ref
785
ref
appTerm
betaConv
1026
def
appThm
854
remove
refl
appThm
appThm
1025
ref
1023
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
853
ref
763
ref
787
remove
refl
1026
remove
appThm
absThm
appThm
appThm
nil
"p"
779
ref
var
1025
remove
nil
cons
cons
nil
cons
nil
cons
cons
769
ref
nil
25
ref
697
remove
166
ref
35
ref
200
ref
38
ref
50
ref
66
ref
698
ref
appTerm
66
ref
419
ref
434
ref
appTerm
1027
def
appTerm
44
ref
appTerm
1028
def
appTerm
1029
def
appTerm
699
ref
appTerm
absTerm
1030
def
appTerm
1031
def
absTerm
1032
def
appTerm
1033
def
appTerm
1034
def
nil
cons
1035
def
cons
43
ref
200
ref
38
ref
673
ref
698
ref
appTerm
1036
def
absTerm
1037
def
appTerm
1038
def
nil
cons
1039
def
cons
nil
cons
cons
nil
cons
cons
1040
def
76
ref
subst
1040
remove
107
ref
subst
nil
108
ref
696
ref
nil
cons
1041
def
cons
110
ref
1033
remove
nil
cons
1042
def
cons
nil
cons
cons
nil
cons
cons
1043
def
122
ref
subst
1043
remove
139
ref
subst
153
ref
153
ref
386
ref
appThm
nil
96
ref
1041
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
696
ref
assume
eqMp
appThm
575
ref
186
ref
subst
1044
def
trans
appThm
204
ref
35
ref
205
ref
38
ref
50
ref
66
ref
44
ref
appTerm
1045
def
698
ref
appTerm
1046
def
appTerm
1047
def
refl
153
ref
756
ref
appThm
699
ref
refl
1048
def
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
166
ref
35
ref
200
ref
38
ref
1047
ref
1045
ref
699
ref
appTerm
1049
def
appTerm
1050
def
absTerm
1051
def
appTerm
1052
def
absTerm
1053
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
167
ref
1053
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
1052
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
1051
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
1050
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1046
ref
nil
cons
1054
def
cons
43
ref
1049
remove
nil
cons
1055
def
cons
nil
cons
cons
nil
cons
cons
1056
def
76
ref
subst
1056
remove
107
ref
subst
nil
108
ref
45
ref
cons
1057
def
110
ref
698
ref
nil
cons
1058
def
cons
nil
cons
cons
nil
cons
cons
1059
def
122
ref
subst
1060
def
1059
remove
139
ref
subst
153
ref
nil
96
ref
45
ref
cons
nil
cons
nil
cons
cons
1061
def
102
ref
subst
44
ref
assume
1062
def
eqMp
1063
def
appThm
1064
def
1048
ref
appThm
nil
96
ref
699
ref
nil
cons
1065
def
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
25
ref
1027
ref
nil
cons
1066
def
cons
1067
def
43
ref
1065
ref
cons
nil
cons
1068
def
cons
nil
cons
cons
1069
def
76
ref
subst
1069
remove
107
ref
subst
153
ref
nil
96
ref
1058
ref
cons
nil
cons
nil
cons
cons
1070
def
102
ref
subst
698
ref
assume
eqMp
1071
def
appThm
153
ref
518
ref
nil
1067
ref
43
ref
52
ref
434
ref
appTerm
1072
def
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
434
ref
nil
cons
1073
def
cons
1074
def
nil
cons
nil
cons
cons
536
ref
subst
eqMp
1075
def
appThm
539
ref
trans
1076
def
appThm
1063
ref
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
nil
25
ref
1029
remove
nil
cons
cons
1068
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
1030
ref
39
ref
appTerm
1077
def
betaConv
1032
ref
36
ref
appTerm
1078
def
betaConv
nil
25
ref
1042
remove
cons
43
ref
1078
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
1032
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1031
remove
nil
cons
cons
43
ref
1077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1030
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
1066
ref
cons
1079
def
110
ref
1065
ref
cons
nil
cons
1080
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1073
ref
cons
1081
def
1068
ref
cons
nil
cons
cons
1082
def
76
ref
subst
1082
remove
107
ref
subst
38
ref
1072
ref
189
ref
39
ref
appTerm
1083
def
appTerm
1084
def
absTerm
1085
def
39
ref
appTerm
1086
def
betaConv
35
ref
200
ref
1085
ref
appTerm
1087
def
absTerm
1088
def
36
ref
appTerm
1089
def
betaConv
nil
166
ref
1088
ref
appTerm
1090
def
axiom
nil
25
ref
1090
remove
nil
cons
cons
43
ref
1089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1088
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1087
remove
nil
cons
cons
43
ref
1086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1085
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1084
remove
nil
cons
cons
1068
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
77
ref
nil
96
ref
1073
ref
cons
nil
cons
nil
cons
cons
1091
def
102
ref
subst
434
ref
assume
eqMp
1092
def
appThm
1093
def
1083
ref
refl
appThm
nil
96
ref
1083
ref
nil
cons
1094
def
cons
nil
cons
nil
cons
cons
96
ref
52
ref
52
ref
14
ref
appTerm
1095
def
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
1096
def
99
ref
appTerm
1097
def
betaConv
nil
159
ref
1096
ref
appTerm
1098
def
axiom
nil
25
ref
1098
remove
nil
cons
cons
43
ref
1097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
1096
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1099
def
subst
trans
appThm
1048
remove
appThm
sym
nil
25
ref
1094
ref
cons
1068
remove
cons
nil
cons
cons
1100
def
76
ref
subst
1100
remove
107
ref
subst
695
remove
refl
1083
remove
assume
appThm
1071
remove
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
1094
remove
cons
1080
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1074
ref
1080
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
434
ref
appTerm
1101
def
betaConv
686
ref
nil
687
ref
43
ref
1101
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
1073
ref
cons
nil
cons
1102
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1103
def
nil
1074
ref
110
ref
1066
remove
cons
1104
def
612
ref
1065
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
1054
remove
cons
110
ref
1055
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
66
ref
383
ref
appTerm
696
remove
appTerm
appTerm
166
ref
35
ref
200
ref
38
ref
1047
remove
66
ref
41
ref
appTerm
699
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
200
ref
38
ref
673
ref
1046
ref
appTerm
1105
def
absTerm
1106
def
appTerm
nil
cons
1107
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
1046
remove
absTerm
1108
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
1108
ref
39
ref
appTerm
betaConv
1109
def
appThm
1108
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
673
ref
refl
1110
def
1109
remove
appThm
absThm
appThm
appThm
nil
694
ref
1108
remove
nil
cons
cons
nil
cons
nil
cons
cons
708
ref
subst
eqMp
eqMp
nil
218
ref
1037
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
1036
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
45
ref
cons
1111
def
43
ref
1058
remove
cons
nil
cons
1112
def
cons
nil
cons
cons
1113
def
76
ref
subst
1113
remove
107
ref
subst
1106
ref
39
ref
appTerm
1114
def
betaConv
nil
25
ref
1107
remove
cons
43
ref
1114
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
1106
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1105
remove
nil
cons
cons
1112
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
1063
remove
appThm
1064
ref
698
remove
refl
1115
def
appThm
1070
ref
186
ref
subst
trans
appThm
1070
ref
501
ref
subst
trans
appThm
1115
remove
appThm
1070
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
1060
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
1035
remove
cons
110
ref
1039
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
1116
def
subst
subst
eqMp
eqMp
nil
25
ref
1024
remove
cons
43
ref
830
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
804
ref
801
ref
829
remove
nil
cons
cons
"x"
762
ref
var
1117
def
785
ref
nil
cons
1118
def
cons
nil
cons
1119
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
828
remove
nil
cons
cons
43
ref
1017
ref
786
ref
appTerm
nil
cons
cons
nil
cons
1120
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
791
ref
885
ref
786
ref
appTerm
1121
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
791
ref
nil
96
ref
1121
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
888
ref
43
ref
806
ref
cons
nil
cons
1122
def
cons
nil
cons
cons
1123
def
76
ref
subst
1123
remove
107
ref
subst
891
ref
nil
893
ref
1122
ref
cons
nil
cons
cons
1124
def
135
ref
subst
proveHyp
1124
ref
76
ref
subst
1124
remove
107
ref
subst
"t"
762
ref
var
1125
def
66
ref
780
ref
1125
ref
varTerm
1126
def
appTerm
appTerm
145
ref
1
ref
762
remove
792
remove
cons
opType
1127
def
constTerm
785
ref
appTerm
1128
def
1126
remove
appTerm
appTerm
absTerm
1129
def
"Set.fromPredicate"
const
1130
def
1
ref
788
ref
803
remove
cons
opType
constTerm
1131
def
"v"
760
ref
var
1132
def
790
ref
913
ref
66
ref
866
ref
1132
ref
varTerm
appTerm
918
ref
appTerm
appTerm
1133
def
946
remove
794
ref
appTerm
1134
def
appTerm
absTerm
appTerm
absTerm
appTerm
1135
def
appTerm
betaConv
sym
153
ref
nil
917
remove
nil
cons
cons
780
ref
refl
1136
def
1131
ref
refl
1137
def
1132
ref
831
ref
913
ref
1133
ref
refl
1138
def
909
ref
52
ref
947
ref
appTerm
"Number.Natural.<"
const
818
ref
constTerm
1139
def
918
ref
appTerm
1140
def
"Number.Natural.suc"
const
895
ref
constTerm
1141
def
910
ref
appTerm
1142
def
appTerm
1143
def
appTerm
1144
def
absTerm
1145
def
910
ref
appTerm
1146
def
betaConv
913
ref
811
ref
1145
ref
appTerm
1147
def
absTerm
1148
def
918
ref
appTerm
1149
def
betaConv
832
ref
913
ref
832
ref
909
ref
1144
remove
assume
sym
52
ref
1143
ref
appTerm
1150
def
947
ref
appTerm
1151
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
811
ref
913
ref
811
ref
909
ref
1151
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
811
ref
1148
ref
appTerm
nil
cons
cons
43
ref
1149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1148
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1147
remove
nil
cons
cons
43
ref
1146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1145
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
absThm
appThm
absThm
appThm
appThm
nil
909
ref
1142
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
96
ref
780
ref
1131
ref
1132
ref
790
ref
913
ref
1133
ref
1140
ref
910
ref
appTerm
1152
def
appTerm
absTerm
appTerm
absTerm
appTerm
1153
def
appTerm
1154
def
nil
cons
1155
def
cons
nil
cons
nil
cons
cons
102
ref
subst
1156
def
909
ref
1154
ref
absTerm
1157
def
910
ref
appTerm
1158
def
betaConv
1159
def
1136
ref
nil
8
ref
1127
remove
constTerm
1160
def
1131
ref
1132
ref
790
ref
913
ref
1133
ref
1140
ref
"Number.Natural.zero"
const
760
ref
constTerm
1161
def
appTerm
1162
def
appTerm
absTerm
appTerm
absTerm
appTerm
1163
def
appTerm
1020
remove
appTerm
axiom
appThm
769
ref
386
ref
subst
trans
sym
94
ref
eqMp
nil
25
ref
780
ref
1163
remove
appTerm
1164
def
nil
cons
cons
43
ref
811
ref
909
ref
50
ref
1154
ref
appTerm
780
ref
1131
ref
1132
ref
790
ref
913
ref
1133
ref
1143
ref
appTerm
absTerm
appTerm
absTerm
appTerm
1165
def
appTerm
1166
def
appTerm
1167
def
absTerm
1168
def
appTerm
1169
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
1168
remove
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
1167
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1155
ref
cons
43
ref
1166
remove
nil
cons
1170
def
cons
nil
cons
cons
nil
cons
cons
1171
def
76
ref
subst
1171
remove
107
ref
subst
1136
remove
909
ref
1160
ref
1165
remove
appTerm
1022
remove
910
ref
appTerm
1153
ref
appTerm
appTerm
absTerm
1172
def
910
ref
appTerm
1173
def
betaConv
nil
811
ref
1172
ref
appTerm
1174
def
axiom
nil
25
ref
1174
remove
nil
cons
cons
43
ref
1173
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1172
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
nil
763
ref
1153
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
769
ref
756
ref
subst
subst
1156
remove
1154
remove
assume
eqMp
trans
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
1155
remove
cons
110
ref
1170
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
1164
remove
appTerm
1169
remove
appTerm
nil
cons
cons
43
ref
811
ref
1157
ref
appTerm
1175
def
nil
cons
1176
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
1157
ref
1161
ref
appTerm
betaConv
appThm
832
ref
909
ref
51
ref
1159
ref
appThm
1157
ref
1142
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
832
ref
909
ref
1159
remove
absThm
appThm
appThm
nil
"p"
788
ref
var
1177
def
1157
remove
nil
cons
1178
def
cons
nil
cons
nil
cons
cons
1177
ref
50
ref
66
ref
1177
ref
varTerm
1179
def
1161
ref
appTerm
appTerm
811
ref
909
ref
50
ref
1179
ref
910
ref
appTerm
1180
def
appTerm
1181
def
1179
ref
1142
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
811
ref
909
ref
1180
ref
absTerm
1182
def
appTerm
1183
def
appTerm
absTerm
1184
def
1179
ref
appTerm
1185
def
betaConv
nil
158
ref
1
ref
789
ref
4
ref
cons
opType
constTerm
1186
def
1184
ref
appTerm
1187
def
axiom
nil
25
ref
1187
remove
nil
cons
cons
43
ref
1185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
817
remove
cons
nil
cons
1188
def
"P"
789
remove
var
1189
def
1184
remove
nil
cons
cons
"x"
788
ref
var
1190
def
1179
ref
nil
cons
cons
nil
cons
1191
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1192
def
subst
eqMp
eqMp
1193
def
nil
25
ref
1176
remove
cons
43
ref
1158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1178
remove
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
trans
1194
def
subst
appThm
1128
remove
1135
ref
appTerm
1195
def
refl
appThm
nil
96
ref
1195
remove
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
1125
ref
1135
remove
nil
cons
1196
def
cons
nil
cons
nil
cons
cons
769
ref
442
ref
subst
1197
def
subst
832
ref
812
ref
816
ref
refl
1198
def
77
ref
814
ref
refl
1137
remove
1132
ref
831
ref
913
ref
1138
remove
913
ref
1134
remove
absTerm
1199
def
918
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1199
ref
813
ref
appTerm
betaConv
appThm
nil
1177
ref
1199
remove
nil
cons
cons
nil
cons
nil
cons
cons
769
ref
35
ref
52
ref
423
ref
1130
ref
1
ref
164
ref
31
ref
cons
opType
1200
def
constTerm
1201
def
"v"
26
ref
var
1202
def
238
ref
449
ref
66
ref
458
ref
1202
ref
varTerm
appTerm
1203
def
454
ref
appTerm
appTerm
1204
def
177
ref
454
ref
appTerm
1205
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
241
ref
appTerm
absTerm
1206
def
36
ref
appTerm
1207
def
betaConv
175
ref
166
ref
1206
ref
appTerm
1208
def
absTerm
1209
def
177
ref
appTerm
1210
def
betaConv
nil
354
ref
1209
ref
appTerm
1211
def
axiom
nil
25
ref
1211
remove
nil
cons
cons
43
ref
1210
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
1209
remove
nil
cons
cons
363
remove
177
ref
nil
cons
1212
def
cons
nil
cons
1213
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1208
remove
nil
cons
cons
43
ref
1207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1206
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1214
def
subst
subst
eqMp
appThm
absThm
appThm
trans
sym
823
remove
assume
eqMp
eqMp
eqMp
804
ref
801
ref
1129
ref
nil
cons
cons
1117
ref
1196
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
237
ref
851
remove
constTerm
1129
remove
appTerm
nil
cons
cons
1122
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
769
ref
755
ref
subst
eqMp
eqMp
nil
1014
ref
110
ref
806
ref
cons
nil
cons
1215
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1016
ref
1215
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
824
ref
813
ref
appTerm
appTerm
1216
def
786
ref
appTerm
absTerm
appTerm
nil
cons
cons
1120
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
1019
ref
1215
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
1217
def
nil
25
ref
52
ref
786
ref
appTerm
825
ref
appTerm
1218
def
nil
cons
1219
def
cons
809
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
77
ref
nil
96
ref
806
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
786
remove
assume
eqMp
appThm
825
ref
refl
appThm
nil
96
ref
826
ref
cons
nil
cons
nil
cons
cons
1220
def
1099
ref
subst
trans
appThm
797
ref
refl
appThm
sym
nil
878
ref
791
ref
885
remove
797
ref
appTerm
1221
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
791
ref
nil
96
ref
1221
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
888
remove
809
ref
cons
nil
cons
cons
1222
def
76
ref
subst
1222
remove
107
ref
subst
891
remove
nil
893
ref
809
remove
cons
nil
cons
cons
1223
def
135
ref
subst
proveHyp
1223
ref
76
ref
subst
1223
remove
107
ref
subst
796
ref
1141
ref
794
ref
appTerm
1224
def
appTerm
betaConv
sym
nil
108
ref
793
ref
1224
ref
appTerm
785
ref
appTerm
1225
def
nil
cons
1226
def
cons
1227
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
1226
ref
cons
510
ref
cons
nil
cons
cons
1228
def
76
ref
subst
1228
remove
107
ref
subst
822
remove
1224
ref
appTerm
1229
def
betaConv
nil
893
remove
43
ref
1229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
941
remove
812
ref
1224
ref
nil
cons
1230
def
cons
nil
cons
1231
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
1225
ref
appTerm
819
ref
1224
remove
appTerm
1232
def
794
ref
appTerm
1233
def
appTerm
nil
cons
1234
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
1234
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
518
ref
51
ref
nil
96
ref
1226
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
1225
remove
assume
eqMp
appThm
1233
ref
refl
appThm
nil
96
ref
1233
remove
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
nil
916
ref
913
ref
1230
remove
cons
nil
cons
cons
nil
cons
cons
909
ref
52
ref
419
ref
947
ref
appTerm
appTerm
1139
ref
910
ref
appTerm
1235
def
918
ref
appTerm
1236
def
appTerm
absTerm
1237
def
910
ref
appTerm
1238
def
betaConv
913
ref
811
ref
1237
ref
appTerm
1239
def
absTerm
1240
def
918
ref
appTerm
1241
def
betaConv
nil
811
ref
1240
ref
appTerm
1242
def
axiom
nil
25
ref
1242
remove
nil
cons
cons
43
ref
1241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1240
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1239
remove
nil
cons
cons
43
ref
1238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1237
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1243
def
subst
nil
916
remove
913
ref
915
remove
cons
nil
cons
1244
def
cons
nil
cons
cons
909
ref
1150
remove
456
ref
866
ref
918
ref
appTerm
1245
def
910
ref
appTerm
1246
def
appTerm
1152
ref
appTerm
1247
def
appTerm
absTerm
1248
def
910
ref
appTerm
1249
def
betaConv
913
ref
811
ref
1248
ref
appTerm
1250
def
absTerm
1251
def
918
ref
appTerm
1252
def
betaConv
nil
811
ref
1251
ref
appTerm
1253
def
axiom
nil
25
ref
1253
remove
nil
cons
cons
43
ref
1252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1251
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1250
remove
nil
cons
cons
43
ref
1249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
1248
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1254
def
subst
456
ref
refl
1255
def
nil
943
remove
nil
cons
cons
1256
def
769
ref
nil
96
ref
459
ref
36
ref
appTerm
1257
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
184
ref
eqMp
1258
def
subst
subst
appThm
1139
ref
794
ref
appTerm
794
remove
appTerm
1259
def
refl
appThm
nil
96
ref
1259
remove
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
trans
trans
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
1227
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
768
ref
878
ref
796
remove
nil
cons
cons
1231
remove
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
1014
remove
110
ref
808
remove
cons
nil
cons
1260
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1016
remove
1260
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
1216
remove
797
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
1017
remove
797
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
1019
ref
1260
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
806
remove
cons
1260
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
1261
def
nil
25
ref
852
ref
799
remove
appTerm
1262
def
nil
cons
cons
43
ref
800
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
804
ref
802
remove
1117
remove
765
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
781
ref
appTerm
790
ref
791
ref
419
ref
795
remove
764
ref
appTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
1263
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
1263
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
518
ref
51
ref
nil
96
ref
782
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
781
remove
assume
eqMp
appThm
831
ref
791
ref
518
ref
1256
remove
769
ref
nil
96
ref
423
ref
10
ref
28
ref
constTerm
1264
def
appTerm
1265
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
35
ref
1265
ref
absTerm
1266
def
36
ref
appTerm
1267
def
betaConv
nil
166
ref
1266
ref
appTerm
1268
def
axiom
nil
25
ref
1268
remove
nil
cons
cons
43
ref
1267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1266
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
1269
def
subst
1270
def
subst
appThm
590
ref
trans
absThm
appThm
nil
96
ref
509
ref
cons
nil
cons
nil
cons
cons
1271
def
850
remove
subst
trans
appThm
1271
ref
501
ref
subst
1272
def
trans
appThm
539
ref
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
783
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1273
def
nil
770
ref
779
remove
constTerm
1274
def
764
ref
appTerm
1275
def
thm
212
ref
"B"
27
ref
cons
1276
def
nil
cons
1277
def
cons
23
ref
cons
1278
def
0
ref
1
ref
2
ref
"Data.Pair.*"
typeOp
1279
def
26
ref
285
ref
nil
cons
1280
def
cons
1281
def
opType
1282
def
nil
cons
1283
def
opType
1284
def
4
ref
cons
opType
1285
def
constTerm
1286
def
refl
1287
def
8
ref
1
ref
1284
ref
1285
ref
nil
cons
1288
def
cons
opType
1289
def
constTerm
1290
def
10
ref
1284
ref
constTerm
1291
def
appTerm
"Set.cross"
const
1292
def
1
ref
28
ref
1
ref
2
ref
1280
ref
opType
1293
def
1284
ref
nil
cons
1294
def
cons
opType
nil
cons
1295
def
cons
opType
constTerm
1296
def
1264
ref
appTerm
10
ref
1293
ref
constTerm
1297
def
appTerm
1298
def
appTerm
assume
sym
1290
ref
1298
remove
appTerm
1291
ref
appTerm
1299
def
assume
sym
deductAntisym
nil
1299
remove
axiom
eqMp
1300
def
appThm
nil
"t"
1293
ref
var
1301
def
1297
ref
nil
cons
cons
38
ref
1264
ref
nil
cons
1302
def
cons
nil
cons
cons
nil
cons
cons
1303
def
nil
25
ref
419
ref
369
ref
appTerm
1304
def
nil
cons
1305
def
cons
1306
def
43
ref
52
ref
1286
ref
1296
ref
39
ref
appTerm
1307
def
1301
ref
varTerm
1308
def
appTerm
1309
def
appTerm
1310
def
appTerm
1311
def
456
ref
369
ref
appTerm
1312
def
456
ref
8
ref
1
ref
1293
ref
1
ref
1293
ref
4
ref
cons
opType
1313
def
nil
cons
1314
def
cons
opType
1315
def
constTerm
1316
def
1308
ref
appTerm
1317
def
16
ref
1293
ref
constTerm
1318
def
appTerm
1319
def
appTerm
1320
def
1045
ref
0
ref
1313
ref
constTerm
1321
def
1308
ref
appTerm
1322
def
appTerm
1323
def
appTerm
1324
def
appTerm
1325
def
appTerm
1326
def
nil
cons
1327
def
cons
nil
cons
1328
def
cons
nil
cons
cons
1329
def
76
ref
subst
1329
remove
107
ref
subst
1311
ref
refl
1330
def
1255
ref
nil
1306
ref
43
ref
52
ref
369
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
388
ref
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
1324
ref
refl
appThm
nil
96
ref
1324
ref
nil
cons
1331
def
cons
nil
cons
nil
cons
cons
567
ref
subst
trans
appThm
sym
nil
25
ref
419
ref
1319
ref
appTerm
1332
def
nil
cons
1333
def
cons
1334
def
43
ref
1311
ref
1324
remove
appTerm
nil
cons
1335
def
cons
nil
cons
1336
def
cons
nil
cons
cons
1337
def
76
ref
subst
1337
remove
107
ref
subst
1330
remove
1255
ref
nil
1334
remove
43
ref
52
ref
1319
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
1319
ref
nil
cons
1338
def
cons
1339
def
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
1323
ref
refl
appThm
nil
96
ref
1323
ref
nil
cons
1340
def
cons
nil
cons
nil
cons
cons
567
ref
subst
trans
appThm
sym
nil
25
ref
1310
ref
nil
cons
1341
def
cons
1342
def
43
ref
1340
ref
cons
nil
cons
1343
def
cons
nil
cons
cons
1344
def
140
ref
subst
nil
"s"
1293
ref
var
1345
def
1308
ref
nil
cons
1346
def
cons
1347
def
nil
cons
1348
def
nil
cons
cons
1349
def
"A"
1280
ref
cons
1350
def
nil
cons
1351
def
23
ref
cons
1352
def
38
ref
52
ref
1304
ref
appTerm
238
ref
35
ref
434
ref
absTerm
1353
def
appTerm
1354
def
appTerm
1355
def
absTerm
1356
def
39
ref
appTerm
1357
def
betaConv
205
ref
38
ref
1355
remove
assume
sym
52
ref
1354
ref
appTerm
1304
ref
appTerm
1358
def
assume
sym
deductAntisym
absThm
appThm
nil
200
ref
38
ref
1358
remove
absTerm
1359
def
appTerm
1360
def
axiom
1361
def
eqMp
nil
25
ref
200
ref
1356
ref
appTerm
nil
cons
cons
43
ref
1357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1356
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1362
def
subst
subst
1332
ref
assume
eqMp
nil
25
ref
237
ref
290
ref
constTerm
1363
def
"x"
285
ref
var
1364
def
420
ref
1
ref
285
ref
1314
ref
cons
opType
constTerm
1365
def
1364
ref
varTerm
1366
def
appTerm
1367
def
1308
ref
appTerm
1368
def
absTerm
1369
def
appTerm
1370
def
nil
cons
cons
43
ref
50
ref
1310
ref
appTerm
1323
ref
appTerm
1371
def
nil
cons
1372
def
cons
nil
cons
1373
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
286
ref
var
1374
def
292
ref
50
ref
1369
ref
294
ref
appTerm
1375
def
appTerm
1371
ref
appTerm
1376
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
252
ref
subst
1377
def
subst
292
ref
nil
96
ref
1376
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1375
ref
nil
cons
1378
def
cons
1373
ref
cons
nil
cons
cons
1379
def
76
ref
subst
1379
remove
107
ref
subst
"_11058"
285
ref
var
1380
def
1365
ref
1380
remove
varTerm
appTerm
1308
ref
appTerm
absTerm
1381
def
294
ref
appTerm
1382
def
betaConv
1383
def
1375
remove
assume
eqMp
nil
25
ref
1365
ref
294
ref
appTerm
1384
def
1308
ref
appTerm
1385
def
nil
cons
1386
def
cons
1387
def
1373
remove
cons
nil
cons
cons
1388
def
135
ref
subst
proveHyp
1362
remove
1304
ref
assume
eqMp
nil
25
ref
1354
ref
nil
cons
cons
43
ref
50
ref
1385
ref
appTerm
1389
def
1371
ref
appTerm
1390
def
nil
cons
1391
def
cons
nil
cons
1392
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
167
ref
35
ref
50
ref
1353
ref
36
ref
appTerm
1393
def
appTerm
1390
ref
appTerm
1394
def
absTerm
1395
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
1394
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1393
ref
nil
cons
1396
def
cons
1392
ref
cons
nil
cons
cons
1397
def
76
ref
subst
1397
remove
107
ref
subst
1393
ref
betaConv
1398
def
1393
remove
assume
eqMp
nil
1081
ref
1392
remove
cons
nil
cons
cons
1399
def
135
ref
subst
proveHyp
1399
ref
76
ref
subst
1399
remove
107
ref
subst
1388
ref
76
ref
subst
1388
remove
107
ref
subst
1344
ref
76
ref
subst
1344
remove
107
ref
subst
152
ref
"Set.image"
const
1400
def
1
ref
1
ref
1282
ref
27
ref
cons
opType
1401
def
1
ref
1284
ref
31
ref
cons
opType
nil
cons
cons
opType
constTerm
"Data.Pair.fst"
const
1401
ref
constTerm
1402
def
appTerm
1309
ref
appTerm
1403
def
appTerm
betaConv
sym
nil
1342
ref
43
ref
30
ref
1403
ref
appTerm
nil
cons
1404
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
"s"
1284
ref
var
1405
def
1309
ref
nil
cons
1406
def
cons
1407
def
"f"
1401
remove
var
1402
ref
nil
cons
cons
1408
def
nil
cons
cons
nil
cons
cons
"A"
1283
ref
cons
1409
def
1277
ref
cons
23
ref
cons
1410
def
38
ref
673
ref
1321
ref
1400
ref
1
ref
1
ref
1281
remove
opType
1411
def
1
ref
28
ref
1293
ref
nil
cons
1412
def
cons
opType
1413
def
nil
cons
1414
def
cons
opType
1415
def
constTerm
1416
def
"f"
1411
ref
var
1417
def
varTerm
1418
def
appTerm
1419
def
39
ref
appTerm
1420
def
appTerm
1421
def
appTerm
1422
def
absTerm
1423
def
39
ref
appTerm
1424
def
betaConv
1417
ref
200
ref
1423
ref
appTerm
1425
def
absTerm
1426
def
1418
ref
appTerm
1427
def
betaConv
158
ref
1
ref
1
ref
1411
ref
4
ref
cons
opType
1428
def
4
ref
cons
opType
1429
def
constTerm
1430
def
refl
1431
def
1417
ref
205
ref
38
ref
1110
ref
1321
ref
refl
1432
def
38
ref
1316
ref
1420
ref
appTerm
1433
def
1130
ref
1
ref
286
ref
1412
ref
cons
opType
constTerm
1434
def
"v"
285
ref
var
1435
def
1363
ref
292
ref
66
ref
8
ref
1
ref
285
ref
287
ref
cons
opType
constTerm
1436
def
1435
ref
varTerm
appTerm
1437
def
294
ref
appTerm
1438
def
appTerm
1439
def
238
ref
35
ref
66
ref
434
ref
appTerm
1440
def
1436
ref
294
ref
appTerm
1441
def
1418
ref
36
ref
appTerm
1442
def
appTerm
1443
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1444
def
appTerm
absTerm
1445
def
39
ref
appTerm
1446
def
betaConv
1417
ref
200
ref
1445
ref
appTerm
1447
def
absTerm
1448
def
1418
ref
appTerm
1449
def
betaConv
nil
1430
ref
1448
ref
appTerm
1450
def
axiom
nil
25
ref
1450
remove
nil
cons
cons
43
ref
1449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1411
ref
nil
cons
1451
def
cons
1452
def
nil
cons
1453
def
"P"
1428
ref
var
1454
def
1448
remove
nil
cons
cons
"x"
1411
ref
var
1455
def
1418
ref
nil
cons
1456
def
cons
nil
cons
1457
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1447
remove
nil
cons
cons
43
ref
1446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1445
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
appThm
nil
96
ref
673
ref
1321
ref
1444
remove
appTerm
1458
def
appTerm
1459
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
38
ref
1459
remove
absTerm
1460
def
39
ref
appTerm
1461
def
betaConv
1432
ref
1434
ref
refl
1435
ref
1363
ref
refl
1462
def
292
ref
1439
ref
refl
238
ref
refl
1463
def
35
ref
153
ref
838
ref
appThm
1443
ref
refl
appThm
nil
96
ref
1443
ref
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
66
ref
15
ref
appTerm
1464
def
99
ref
appTerm
appTerm
15
ref
appTerm
absTerm
1465
def
99
ref
appTerm
1466
def
betaConv
nil
159
ref
1465
ref
appTerm
1467
def
axiom
nil
25
ref
1467
remove
nil
cons
cons
43
ref
1466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
1465
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1468
def
subst
trans
absThm
appThm
1271
ref
849
ref
subst
1469
def
trans
appThm
nil
96
ref
1438
remove
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
932
ref
15
ref
appTerm
appTerm
15
ref
appTerm
absTerm
1470
def
99
ref
appTerm
1471
def
betaConv
nil
159
ref
1470
ref
appTerm
1472
def
axiom
nil
25
ref
1472
remove
nil
cons
cons
43
ref
1471
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
1470
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1473
def
subst
trans
absThm
appThm
1271
ref
1352
ref
849
remove
subst
subst
trans
absThm
appThm
1352
ref
nil
188
ref
1201
ref
35
ref
15
ref
absTerm
appTerm
appTerm
193
ref
appTerm
axiom
1474
def
subst
trans
appThm
1352
ref
386
ref
subst
1475
def
trans
sym
94
ref
eqMp
nil
25
ref
1321
ref
1434
ref
1435
ref
1363
ref
292
ref
1439
ref
238
ref
35
ref
66
ref
833
ref
appTerm
1476
def
1443
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1477
def
nil
cons
cons
43
ref
166
ref
35
ref
200
ref
38
ref
50
ref
1458
ref
appTerm
1478
def
1321
ref
1434
ref
1435
ref
1363
ref
292
ref
1439
ref
238
ref
443
ref
66
ref
445
ref
40
ref
appTerm
1479
def
appTerm
1480
def
1441
ref
1418
ref
444
ref
appTerm
1481
def
appTerm
1482
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
1483
def
absTerm
1484
def
appTerm
1485
def
absTerm
1486
def
appTerm
1487
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
1486
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
1485
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
1484
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
1483
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1301
ref
190
ref
1
ref
1293
ref
1
ref
1293
ref
1412
ref
cons
opType
1488
def
nil
cons
1489
def
cons
opType
1490
def
constTerm
1491
def
1434
ref
1435
ref
1363
ref
292
ref
1439
ref
238
ref
"z"
26
ref
var
1492
def
66
ref
422
ref
1492
ref
varTerm
1493
def
appTerm
1494
def
39
ref
appTerm
1495
def
appTerm
1496
def
1441
ref
1418
ref
1493
ref
appTerm
1497
def
appTerm
1498
def
appTerm
1499
def
absTerm
1500
def
appTerm
1501
def
appTerm
absTerm
appTerm
absTerm
1502
def
appTerm
1503
def
appTerm
12
ref
1
ref
285
ref
1489
ref
cons
opType
constTerm
1504
def
1442
ref
appTerm
1318
ref
appTerm
1505
def
appTerm
1506
def
nil
cons
cons
1345
ref
1434
ref
1435
ref
1363
ref
292
ref
1439
ref
238
ref
1492
ref
66
ref
1494
remove
40
ref
appTerm
appTerm
1498
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1507
def
appTerm
1508
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1352
ref
141
ref
52
ref
368
ref
142
ref
appTerm
1509
def
appTerm
1510
def
166
ref
35
ref
1072
ref
424
ref
appTerm
absTerm
appTerm
1511
def
appTerm
absTerm
1512
def
142
ref
appTerm
1513
def
betaConv
38
ref
200
ref
1512
ref
appTerm
1514
def
absTerm
1515
def
39
ref
appTerm
1516
def
betaConv
205
ref
38
ref
205
ref
141
ref
nil
541
ref
1511
ref
nil
cons
cons
20
ref
1509
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
24
ref
449
ref
52
ref
460
ref
appTerm
1517
def
458
ref
454
ref
appTerm
1518
def
36
ref
appTerm
1519
def
appTerm
absTerm
1520
def
454
ref
appTerm
1521
def
betaConv
35
ref
166
ref
1520
ref
appTerm
1522
def
absTerm
1523
def
36
ref
appTerm
1524
def
betaConv
nil
166
ref
1523
ref
appTerm
1525
def
axiom
nil
25
ref
1525
remove
nil
cons
cons
43
ref
1524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1523
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1522
remove
nil
cons
cons
43
ref
1521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1520
remove
nil
cons
cons
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
1526
def
subst
absThm
appThm
absThm
appThm
sym
nil
200
ref
38
ref
200
ref
141
ref
52
ref
1511
remove
appTerm
1509
ref
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
200
ref
1515
ref
appTerm
nil
cons
cons
43
ref
1516
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1515
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1514
remove
nil
cons
cons
43
ref
1513
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1512
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1527
def
subst
1528
def
subst
291
ref
refl
1529
def
1364
ref
77
ref
nil
"p"
286
ref
var
1530
def
1507
ref
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
35
ref
52
ref
423
ref
1201
ref
177
ref
appTerm
appTerm
appTerm
241
ref
appTerm
absTerm
1531
def
36
ref
appTerm
1532
def
betaConv
175
ref
166
ref
1531
ref
appTerm
1533
def
absTerm
1534
def
177
ref
appTerm
1535
def
betaConv
nil
354
ref
1534
ref
appTerm
1536
def
axiom
nil
25
ref
1536
remove
nil
cons
cons
43
ref
1535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
1534
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1533
remove
nil
cons
cons
43
ref
1532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1531
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1537
def
subst
1538
def
subst
1507
remove
1366
ref
appTerm
betaConv
trans
1462
ref
292
ref
66
ref
1436
ref
1366
ref
appTerm
1539
def
294
ref
appTerm
1540
def
appTerm
refl
1463
ref
1492
ref
153
ref
nil
450
ref
35
ref
1493
ref
nil
cons
1541
def
cons
nil
cons
1542
def
cons
nil
cons
cons
473
ref
subst
appThm
1498
ref
refl
appThm
absThm
appThm
appThm
absThm
appThm
trans
appThm
nil
1301
ref
1505
ref
nil
cons
cons
1543
def
1345
ref
1503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1352
ref
35
ref
52
ref
423
ref
192
ref
39
ref
appTerm
1544
def
142
ref
appTerm
1545
def
appTerm
appTerm
456
ref
434
ref
appTerm
424
ref
appTerm
appTerm
absTerm
1546
def
36
ref
appTerm
1547
def
betaConv
141
ref
166
ref
1546
ref
appTerm
1548
def
absTerm
1549
def
142
ref
appTerm
1550
def
betaConv
38
ref
200
ref
1549
ref
appTerm
1551
def
absTerm
1552
def
39
ref
appTerm
1553
def
betaConv
nil
200
ref
1552
ref
appTerm
1554
def
axiom
nil
25
ref
1554
remove
nil
cons
cons
43
ref
1553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1552
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1551
remove
nil
cons
cons
43
ref
1550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1549
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1548
remove
nil
cons
cons
43
ref
1547
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1546
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
1255
ref
nil
1530
ref
1502
ref
nil
cons
cons
nil
cons
nil
cons
cons
1538
remove
subst
1502
remove
1366
ref
appTerm
betaConv
trans
appThm
nil
1345
ref
1318
ref
nil
cons
1555
def
cons
1556
def
292
ref
1442
ref
nil
cons
1557
def
cons
nil
cons
1558
def
cons
nil
cons
cons
1352
ref
473
ref
subst
1559
def
subst
456
ref
1539
ref
1442
ref
appTerm
1560
def
appTerm
refl
1352
ref
838
ref
subst
1561
def
appThm
nil
96
ref
1560
ref
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
682
ref
15
ref
appTerm
appTerm
99
ref
appTerm
absTerm
1562
def
99
ref
appTerm
1563
def
betaConv
nil
159
ref
1562
ref
appTerm
1564
def
axiom
nil
25
ref
1564
remove
nil
cons
cons
43
ref
1563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
1562
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1565
def
subst
trans
trans
appThm
trans
appThm
absThm
appThm
trans
sym
nil
1374
ref
"x'"
285
ref
var
1566
def
52
ref
1363
ref
292
ref
66
ref
1436
ref
1566
ref
varTerm
1567
def
appTerm
1568
def
294
ref
appTerm
1569
def
appTerm
1570
def
238
ref
1492
ref
66
ref
456
ref
458
ref
1493
ref
appTerm
1571
def
36
ref
appTerm
1572
def
appTerm
1573
def
1495
ref
appTerm
1574
def
appTerm
1575
def
1498
ref
appTerm
1576
def
absTerm
1577
def
appTerm
1578
def
appTerm
1579
def
absTerm
1580
def
appTerm
1581
def
appTerm
456
ref
1363
ref
292
ref
1570
remove
1501
ref
appTerm
1582
def
absTerm
1583
def
appTerm
1584
def
appTerm
1568
ref
1442
ref
appTerm
1585
def
appTerm
1586
def
appTerm
1587
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
1566
ref
nil
96
ref
1587
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1581
ref
nil
cons
1588
def
cons
43
ref
1586
ref
nil
cons
1589
def
cons
nil
cons
1590
def
cons
nil
cons
cons
140
ref
subst
nil
1374
ref
292
ref
50
ref
1580
ref
294
ref
appTerm
1591
def
appTerm
1586
ref
appTerm
1592
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
1592
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1591
ref
nil
cons
1593
def
cons
1590
ref
cons
nil
cons
cons
1594
def
76
ref
subst
1594
remove
107
ref
subst
1591
ref
betaConv
1591
remove
assume
eqMp
nil
25
ref
1579
remove
nil
cons
1595
def
cons
1590
ref
cons
nil
cons
cons
1596
def
135
ref
subst
proveHyp
1596
ref
76
ref
subst
1596
remove
107
ref
subst
nil
108
ref
1569
ref
nil
cons
cons
1597
def
110
ref
1578
ref
nil
cons
1598
def
cons
nil
cons
cons
nil
cons
cons
1599
def
122
ref
subst
1599
remove
139
ref
subst
nil
25
ref
1598
remove
cons
1590
ref
cons
nil
cons
cons
135
ref
subst
nil
167
ref
1492
ref
50
ref
1577
ref
1493
ref
appTerm
1600
def
appTerm
1586
ref
appTerm
1601
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
1601
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1600
ref
nil
cons
1602
def
cons
1590
ref
cons
nil
cons
cons
1603
def
76
ref
subst
1603
remove
107
ref
subst
1600
ref
betaConv
1600
remove
assume
eqMp
nil
25
ref
1576
remove
nil
cons
1604
def
cons
1590
ref
cons
nil
cons
cons
1605
def
135
ref
subst
proveHyp
1605
ref
76
ref
subst
1605
remove
107
ref
subst
nil
108
ref
1574
remove
nil
cons
cons
110
ref
1498
ref
nil
cons
cons
nil
cons
1606
def
cons
nil
cons
cons
1607
def
122
ref
subst
1607
remove
139
ref
subst
nil
25
ref
1495
ref
nil
cons
1608
def
cons
1609
def
1590
ref
cons
nil
cons
cons
1610
def
76
ref
subst
1610
remove
107
ref
subst
1583
ref
1567
ref
appTerm
betaConv
sym
153
ref
nil
1364
ref
1567
ref
nil
cons
cons
1611
def
nil
cons
1612
def
nil
cons
cons
1613
def
1352
ref
1258
ref
subst
1614
def
subst
appThm
1615
def
1463
ref
"_11029"
26
ref
var
1616
def
66
ref
422
ref
1616
remove
varTerm
1617
def
appTerm
39
ref
appTerm
appTerm
refl
1436
ref
refl
1618
def
1569
remove
assume
1498
ref
assume
trans
1619
def
appThm
1620
def
1418
ref
1617
remove
appTerm
refl
appThm
appThm
absThm
appThm
appThm
nil
96
ref
238
ref
"z'"
26
ref
var
1621
def
66
ref
422
ref
1621
ref
varTerm
1622
def
appTerm
39
ref
appTerm
1623
def
appTerm
1436
ref
1497
ref
appTerm
1624
def
1418
ref
1622
ref
appTerm
appTerm
1625
def
appTerm
absTerm
1626
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
1626
ref
1493
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
1608
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
1495
ref
assume
eqMp
1627
def
appThm
1628
def
nil
1364
ref
1497
ref
nil
cons
cons
nil
cons
nil
cons
cons
1614
ref
subst
1629
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
1626
remove
nil
cons
cons
1542
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
1351
ref
1374
ref
1583
ref
nil
cons
cons
1630
def
1612
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
108
ref
1584
ref
nil
cons
cons
1631
def
110
ref
1585
ref
nil
cons
1632
def
cons
1633
def
nil
cons
cons
nil
cons
cons
1634
def
625
remove
sym
1635
def
nil
161
ref
96
ref
50
ref
528
remove
99
ref
appTerm
1636
def
appTerm
50
ref
613
remove
99
ref
appTerm
1637
def
appTerm
99
ref
appTerm
1638
def
appTerm
1639
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
1640
def
96
ref
nil
96
ref
1639
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
1641
def
nil
25
ref
1636
ref
nil
cons
1642
def
cons
43
ref
1638
remove
nil
cons
1643
def
cons
nil
cons
cons
nil
cons
cons
1644
def
76
ref
subst
1645
def
1644
remove
107
ref
subst
1646
def
nil
25
ref
1637
ref
nil
cons
1647
def
cons
43
ref
162
ref
cons
nil
cons
1648
def
cons
nil
cons
cons
1649
def
76
ref
subst
1650
def
1649
remove
107
ref
subst
1651
def
nil
527
remove
1648
ref
cons
nil
cons
cons
135
ref
subst
1636
remove
assume
eqMp
eqMp
nil
108
ref
1647
remove
cons
110
ref
162
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
1652
def
deductAntisym
eqMp
eqMp
nil
108
ref
1642
remove
cons
110
ref
1643
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
1653
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1654
def
subst
proveHyp
eqMp
nil
108
ref
1608
ref
cons
1655
def
110
ref
1589
ref
cons
nil
cons
1656
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1572
ref
nil
cons
1657
def
cons
1590
remove
cons
nil
cons
cons
1658
def
76
ref
subst
1658
remove
107
ref
subst
1619
remove
1418
ref
refl
1659
def
1572
remove
assume
appThm
trans
1634
remove
1635
remove
1640
remove
96
ref
1641
remove
1645
remove
1646
remove
1650
remove
1651
remove
nil
25
ref
256
remove
cons
1648
remove
cons
nil
cons
cons
135
ref
subst
1637
remove
assume
eqMp
eqMp
1652
remove
deductAntisym
eqMp
eqMp
1653
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1660
def
subst
proveHyp
eqMp
nil
108
ref
1657
ref
cons
1661
def
1656
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1661
remove
110
ref
1608
remove
cons
612
ref
1589
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
1604
remove
cons
1656
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
1602
remove
cons
1656
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
ref
50
ref
1577
ref
444
ref
appTerm
appTerm
1586
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
1578
remove
appTerm
1586
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1577
remove
nil
cons
cons
1656
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
1595
remove
cons
1656
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
1593
remove
cons
1656
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
291
ref
1364
ref
50
ref
1580
ref
1366
ref
appTerm
appTerm
1586
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
1581
ref
appTerm
1586
ref
appTerm
nil
cons
1662
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1580
ref
nil
cons
cons
1663
def
1656
remove
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
1662
remove
cons
43
ref
50
ref
1586
remove
appTerm
1581
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
1589
ref
cons
43
ref
1588
ref
cons
nil
cons
1664
def
cons
nil
cons
cons
1665
def
76
ref
subst
1665
remove
107
ref
subst
nil
25
ref
1632
ref
cons
1664
ref
cons
nil
cons
cons
1666
def
76
ref
subst
1666
remove
107
ref
subst
1580
remove
1567
ref
appTerm
betaConv
sym
1667
def
1615
ref
1463
ref
1492
ref
1575
ref
refl
1618
ref
1585
ref
assume
1668
def
appThm
1497
ref
refl
appThm
appThm
absThm
appThm
appThm
nil
96
ref
238
ref
1492
ref
1575
remove
1436
ref
1442
ref
appTerm
1669
def
1497
remove
appTerm
appTerm
absTerm
1670
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
1670
ref
36
ref
appTerm
betaConv
sym
153
ref
1255
ref
1258
ref
appThm
434
ref
refl
1671
def
appThm
1091
ref
595
ref
subst
trans
1672
def
appThm
nil
1364
ref
1557
remove
cons
nil
cons
1673
def
nil
cons
cons
1674
def
1614
ref
subst
1675
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
1670
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
1351
ref
1663
remove
1612
remove
cons
nil
cons
cons
266
ref
subst
1676
def
proveHyp
eqMp
nil
108
ref
1632
remove
cons
1677
def
110
ref
1588
ref
cons
nil
cons
1678
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1374
ref
292
ref
50
ref
1583
ref
294
ref
appTerm
1679
def
appTerm
1581
ref
appTerm
1680
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
1680
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1679
ref
nil
cons
1681
def
cons
1664
ref
cons
nil
cons
cons
1682
def
76
ref
subst
1682
remove
107
ref
subst
1679
ref
betaConv
1679
remove
assume
eqMp
nil
25
ref
1582
remove
nil
cons
1683
def
cons
1664
ref
cons
nil
cons
cons
1684
def
135
ref
subst
proveHyp
1684
ref
76
ref
subst
1684
remove
107
ref
subst
nil
1597
remove
110
ref
1501
ref
nil
cons
1685
def
cons
nil
cons
cons
nil
cons
cons
1686
def
122
ref
subst
1686
remove
139
ref
subst
nil
25
ref
1685
remove
cons
1664
ref
cons
nil
cons
cons
135
ref
subst
nil
167
ref
1492
ref
50
ref
1500
ref
1493
ref
appTerm
1687
def
appTerm
1581
ref
appTerm
1688
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
1688
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1687
ref
nil
cons
1689
def
cons
1664
ref
cons
nil
cons
cons
1690
def
76
ref
subst
1690
remove
107
ref
subst
1687
ref
betaConv
1687
remove
assume
eqMp
nil
25
ref
1499
remove
nil
cons
1691
def
cons
1664
remove
cons
nil
cons
cons
1692
def
135
ref
subst
proveHyp
1692
ref
76
ref
subst
1692
remove
107
ref
subst
nil
1655
ref
1606
remove
cons
nil
cons
cons
1693
def
122
ref
subst
1693
remove
139
ref
subst
1667
remove
1615
remove
1463
ref
"_11030"
26
ref
var
1694
def
66
ref
456
ref
458
ref
1694
remove
varTerm
1695
def
appTerm
36
ref
appTerm
appTerm
422
ref
1695
ref
appTerm
39
ref
appTerm
appTerm
appTerm
refl
1620
remove
1418
ref
1695
remove
appTerm
refl
appThm
appThm
absThm
appThm
appThm
nil
96
ref
238
ref
1621
remove
66
ref
456
ref
458
ref
1622
remove
appTerm
36
ref
appTerm
appTerm
1623
remove
appTerm
appTerm
1625
remove
appTerm
absTerm
1696
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
1696
ref
1493
ref
appTerm
betaConv
sym
153
ref
1573
remove
refl
1627
ref
appThm
nil
96
ref
1657
remove
cons
nil
cons
nil
cons
cons
96
ref
52
ref
682
ref
14
ref
appTerm
appTerm
14
ref
appTerm
absTerm
1697
def
99
ref
appTerm
1698
def
betaConv
nil
159
ref
1697
ref
appTerm
1699
def
axiom
nil
25
ref
1699
remove
nil
cons
cons
43
ref
1698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
1697
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1700
def
subst
trans
appThm
1629
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
1696
remove
nil
cons
cons
1542
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
1676
remove
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
1691
remove
cons
1678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
1689
remove
cons
1678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
ref
50
ref
1500
ref
444
ref
appTerm
appTerm
1581
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
1501
remove
appTerm
1581
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1500
remove
nil
cons
cons
1678
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
1683
remove
cons
1678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
1681
remove
cons
1678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
291
ref
1364
ref
50
ref
1583
remove
1366
ref
appTerm
appTerm
1581
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
1584
remove
appTerm
1581
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1630
remove
1678
ref
cons
nil
cons
cons
754
ref
subst
eqMp
nil
1631
remove
1633
remove
612
ref
1588
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
1589
remove
cons
1678
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
1478
remove
refl
1432
ref
1316
ref
1508
remove
appTerm
1506
remove
appTerm
assume
appThm
appThm
sym
nil
25
ref
1458
ref
nil
cons
1701
def
cons
43
ref
1321
ref
1491
remove
1434
ref
1435
ref
1363
ref
292
ref
1439
ref
238
ref
443
ref
66
ref
445
ref
39
ref
appTerm
1702
def
appTerm
1703
def
1482
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1704
def
appTerm
1505
remove
appTerm
appTerm
nil
cons
1705
def
cons
nil
cons
cons
nil
cons
cons
1706
def
76
ref
subst
1706
remove
107
ref
subst
nil
1543
remove
1345
ref
1704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1352
ref
nil
25
ref
30
ref
1545
ref
appTerm
1707
def
nil
cons
1708
def
cons
1709
def
43
ref
1045
ref
143
ref
appTerm
1710
def
nil
cons
1711
def
cons
nil
cons
cons
nil
cons
cons
1712
def
140
ref
subst
1712
ref
76
ref
subst
1712
remove
107
ref
subst
152
ref
1545
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
1708
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
1707
ref
assume
eqMp
appThm
1713
def
nil
96
ref
149
ref
1545
ref
appTerm
1714
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
141
ref
1714
remove
absTerm
1715
def
142
ref
appTerm
1716
def
betaConv
38
ref
200
ref
1715
ref
appTerm
1717
def
absTerm
1718
def
39
ref
appTerm
1719
def
betaConv
nil
200
ref
1718
ref
appTerm
1720
def
axiom
nil
25
ref
1720
remove
nil
cons
cons
43
ref
1719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1718
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1717
remove
nil
cons
cons
43
ref
1716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1715
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
236
ref
219
ref
1545
ref
nil
cons
1721
def
cons
nil
cons
1722
def
cons
nil
cons
cons
266
ref
subst
proveHyp
272
ref
proveHyp
755
ref
eqMp
nil
1111
ref
417
ref
cons
nil
cons
cons
107
ref
subst
proveHyp
"t'"
28
ref
var
1723
def
66
ref
30
ref
1723
ref
varTerm
1724
def
appTerm
appTerm
1725
def
411
ref
1724
ref
appTerm
1726
def
appTerm
absTerm
1727
def
1545
ref
appTerm
betaConv
sym
1713
remove
nil
141
ref
220
ref
cons
1728
def
432
ref
cons
nil
cons
cons
235
remove
subst
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
1727
ref
nil
cons
cons
1722
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
1727
remove
appTerm
nil
cons
cons
417
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
432
ref
nil
cons
cons
1729
def
755
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
1708
ref
cons
110
ref
1711
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
1707
ref
appTerm
1710
ref
appTerm
nil
cons
cons
43
ref
50
ref
1710
ref
appTerm
1707
ref
appTerm
1730
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
141
ref
1730
remove
absTerm
1731
def
142
ref
appTerm
1732
def
betaConv
38
ref
200
ref
1731
ref
appTerm
1733
def
absTerm
1734
def
39
ref
appTerm
1735
def
betaConv
205
ref
38
ref
205
ref
141
ref
nil
306
ref
1708
ref
cons
416
ref
1111
ref
nil
cons
1736
def
cons
cons
nil
cons
cons
338
ref
subst
absThm
appThm
absThm
appThm
sym
205
ref
38
ref
77
ref
205
ref
141
ref
1110
ref
141
ref
339
ref
1707
ref
appTerm
absTerm
1737
def
142
ref
appTerm
1738
def
betaConv
1739
def
appThm
absThm
appThm
appThm
1110
ref
205
ref
141
ref
1739
ref
absThm
appThm
appThm
appThm
nil
344
ref
1737
ref
nil
cons
1740
def
cons
1736
ref
cons
nil
cons
cons
366
ref
subst
eqMp
absThm
appThm
sym
153
ref
205
ref
141
ref
340
remove
380
ref
1729
ref
38
ref
188
ref
192
ref
193
ref
appTerm
1741
def
39
ref
appTerm
appTerm
39
ref
appTerm
absTerm
1742
def
39
ref
appTerm
1743
def
betaConv
nil
200
ref
1742
ref
appTerm
1744
def
axiom
nil
25
ref
1744
remove
nil
cons
cons
43
ref
1743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1742
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
appThm
nil
96
ref
309
ref
cons
nil
cons
nil
cons
cons
1745
def
573
ref
subst
trans
absThm
appThm
575
ref
345
ref
844
ref
subst
subst
1746
def
trans
appThm
166
ref
35
ref
200
ref
38
ref
50
ref
200
ref
1737
remove
appTerm
1747
def
appTerm
200
ref
141
ref
339
ref
30
ref
192
ref
40
ref
appTerm
142
ref
appTerm
appTerm
1748
def
appTerm
1749
def
absTerm
1750
def
appTerm
1751
def
appTerm
1752
def
absTerm
1753
def
appTerm
1754
def
absTerm
1755
def
appTerm
1756
def
refl
appThm
nil
96
ref
1756
ref
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
167
ref
1755
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
1754
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
1753
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
1752
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1747
ref
nil
cons
1757
def
cons
1758
def
43
ref
1751
remove
nil
cons
1759
def
cons
nil
cons
cons
nil
cons
cons
1760
def
76
ref
subst
1760
remove
107
ref
subst
nil
218
ref
1750
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
1749
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
310
ref
43
ref
1748
remove
nil
cons
1761
def
cons
nil
cons
cons
nil
cons
cons
1762
def
76
ref
subst
1762
remove
107
ref
subst
380
ref
192
ref
refl
222
remove
appThm
279
ref
appThm
appThm
sym
380
ref
nil
400
ref
233
ref
cons
1728
ref
38
ref
223
remove
cons
nil
cons
cons
cons
nil
cons
cons
400
ref
188
ref
192
ref
1545
ref
appTerm
401
ref
appTerm
appTerm
1544
ref
224
ref
401
ref
appTerm
1763
def
appTerm
appTerm
absTerm
1764
def
401
ref
appTerm
1765
def
betaConv
141
ref
200
ref
1764
ref
appTerm
1766
def
absTerm
1767
def
142
ref
appTerm
1768
def
betaConv
38
ref
200
ref
1767
ref
appTerm
1769
def
absTerm
1770
def
39
ref
appTerm
1771
def
betaConv
nil
200
ref
1770
ref
appTerm
1772
def
axiom
nil
25
ref
1772
remove
nil
cons
cons
43
ref
1771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1770
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1769
remove
nil
cons
cons
43
ref
1768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1767
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1766
remove
nil
cons
cons
43
ref
1765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1764
remove
nil
cons
cons
219
ref
448
ref
cons
nil
cons
1773
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
sym
380
ref
nil
38
ref
1721
ref
cons
nil
cons
nil
cons
cons
1774
def
207
ref
39
ref
appTerm
1775
def
betaConv
209
ref
36
ref
appTerm
1776
def
betaConv
211
remove
nil
25
ref
210
remove
nil
cons
cons
43
ref
1776
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
209
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
208
remove
nil
cons
cons
43
ref
1775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
207
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
sym
nil
310
ref
43
ref
1708
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1739
remove
nil
1758
remove
43
ref
1738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
1740
remove
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
nil
1709
remove
43
ref
30
ref
37
remove
1545
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1774
remove
681
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
309
ref
cons
1777
def
110
ref
1761
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
1757
remove
cons
110
ref
1759
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
200
ref
141
ref
339
remove
30
ref
1741
remove
142
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
1756
remove
appTerm
nil
cons
cons
43
ref
200
ref
38
ref
673
ref
1747
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
1747
remove
absTerm
1778
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
1778
ref
39
ref
appTerm
betaConv
1779
def
appThm
1778
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
1110
ref
1779
remove
appThm
absThm
appThm
appThm
nil
694
ref
1778
remove
nil
cons
cons
nil
cons
nil
cons
cons
708
ref
subst
eqMp
eqMp
eqMp
eqMp
1780
def
nil
25
ref
200
ref
1734
ref
appTerm
1781
def
nil
cons
cons
43
ref
1735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1734
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1733
remove
nil
cons
cons
43
ref
1732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1731
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
1782
def
subst
subst
153
ref
nil
96
ref
1701
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
1458
ref
assume
eqMp
appThm
nil
1556
remove
1673
ref
cons
nil
cons
cons
1352
ref
756
ref
subst
subst
1475
ref
trans
appThm
1044
ref
trans
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
1701
remove
cons
110
ref
1705
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
1477
remove
appTerm
1487
remove
appTerm
nil
cons
cons
43
ref
200
ref
1460
ref
appTerm
1783
def
nil
cons
1784
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
1458
remove
absTerm
1785
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
1785
ref
39
ref
appTerm
betaConv
1786
def
appThm
1785
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
1110
ref
1786
remove
appThm
absThm
appThm
appThm
nil
694
ref
1785
remove
nil
cons
cons
nil
cons
nil
cons
cons
708
ref
subst
eqMp
eqMp
1787
def
nil
25
ref
1784
ref
cons
43
ref
1461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1460
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
trans
absThm
appThm
1746
ref
trans
absThm
appThm
575
ref
1453
ref
23
ref
cons
1788
def
844
ref
subst
subst
1789
def
trans
sym
94
ref
eqMp
1790
def
nil
25
ref
1430
ref
1426
ref
appTerm
1791
def
nil
cons
1792
def
cons
1793
def
43
ref
1427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
1426
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1425
remove
nil
cons
cons
43
ref
1424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1423
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1794
def
subst
subst
eqMp
nil
25
ref
1404
remove
cons
43
ref
149
ref
1403
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
141
ref
1403
remove
nil
cons
1795
def
cons
nil
cons
nil
cons
cons
442
ref
subst
204
ref
35
ref
435
ref
refl
1796
def
nil
1407
ref
1408
remove
450
ref
nil
cons
1797
def
cons
cons
nil
cons
cons
1410
remove
1417
ref
52
ref
1384
ref
1420
ref
appTerm
1798
def
appTerm
238
ref
35
ref
66
ref
1443
remove
appTerm
1799
def
434
ref
appTerm
absTerm
1800
def
appTerm
1801
def
appTerm
absTerm
1802
def
1418
ref
appTerm
1803
def
betaConv
38
ref
1430
ref
1802
ref
appTerm
1804
def
absTerm
1805
def
39
ref
appTerm
1806
def
betaConv
292
ref
200
ref
1805
ref
appTerm
1807
def
absTerm
1808
def
294
ref
appTerm
1809
def
betaConv
nil
291
ref
1808
ref
appTerm
1810
def
axiom
nil
25
ref
1810
remove
nil
cons
cons
43
ref
1809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1808
remove
nil
cons
cons
1364
ref
294
ref
nil
cons
1811
def
cons
nil
cons
1812
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1807
remove
nil
cons
cons
43
ref
1806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1805
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1804
remove
nil
cons
cons
43
ref
1803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
1802
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1813
def
subst
subst
appThm
absThm
appThm
trans
sym
nil
167
ref
1492
ref
50
ref
1495
remove
appTerm
1814
def
237
ref
1
ref
1
ref
1282
ref
4
ref
cons
opType
1815
def
4
ref
cons
opType
1816
def
constTerm
1817
def
"x"
1282
ref
var
1818
def
66
ref
1571
ref
1402
ref
1818
ref
varTerm
1819
def
appTerm
appTerm
appTerm
420
ref
1
ref
1282
ref
1288
remove
cons
opType
constTerm
1820
def
1819
ref
appTerm
1821
def
1309
ref
appTerm
1822
def
appTerm
absTerm
1823
def
appTerm
1824
def
appTerm
1825
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
1825
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1609
ref
43
ref
1824
remove
nil
cons
1826
def
cons
nil
cons
cons
nil
cons
cons
1827
def
76
ref
subst
1827
remove
107
ref
subst
1823
ref
"Data.Pair.,"
const
1828
def
1
ref
26
ref
1
ref
285
ref
1283
ref
cons
opType
1829
def
nil
cons
cons
opType
1830
def
constTerm
1831
def
1493
ref
appTerm
294
ref
appTerm
1832
def
appTerm
betaConv
sym
153
ref
1571
ref
refl
nil
"b"
285
ref
var
1833
def
1811
remove
cons
1834
def
"a"
26
ref
var
1835
def
1541
ref
cons
nil
cons
cons
nil
cons
cons
1833
ref
458
ref
1402
remove
1831
ref
1835
ref
varTerm
1836
def
appTerm
1837
def
1833
ref
varTerm
1838
def
appTerm
1839
def
appTerm
appTerm
1836
ref
appTerm
absTerm
1840
def
1838
ref
appTerm
1841
def
betaConv
1835
ref
291
ref
1840
ref
appTerm
1842
def
absTerm
1843
def
1836
ref
appTerm
1844
def
betaConv
nil
166
ref
1843
ref
appTerm
1845
def
axiom
nil
25
ref
1845
remove
nil
cons
cons
43
ref
1844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1843
remove
nil
cons
cons
35
ref
1836
ref
nil
cons
cons
nil
cons
1846
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1842
remove
nil
cons
cons
43
ref
1841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1840
remove
nil
cons
cons
1364
ref
1838
ref
nil
cons
1847
def
cons
nil
cons
1848
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
nil
1542
ref
nil
cons
cons
1849
def
1258
ref
subst
1850
def
trans
appThm
1849
remove
1301
ref
52
ref
1820
ref
1831
ref
36
ref
appTerm
1851
def
294
ref
appTerm
1852
def
appTerm
1853
def
1309
ref
appTerm
appTerm
1440
ref
1385
ref
appTerm
1854
def
appTerm
absTerm
1855
def
1308
ref
appTerm
1856
def
betaConv
38
ref
158
ref
1
ref
1313
ref
4
ref
cons
opType
1857
def
constTerm
1858
def
1855
ref
appTerm
1859
def
absTerm
1860
def
39
ref
appTerm
1861
def
betaConv
292
ref
200
ref
1860
ref
appTerm
1862
def
absTerm
1863
def
294
ref
appTerm
1864
def
betaConv
35
ref
291
ref
1863
ref
appTerm
1865
def
absTerm
1866
def
36
ref
appTerm
1867
def
betaConv
nil
166
ref
1866
ref
appTerm
1868
def
axiom
nil
25
ref
1868
remove
nil
cons
cons
43
ref
1867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1866
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1865
remove
nil
cons
cons
43
ref
1864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1863
remove
nil
cons
cons
1812
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1862
remove
nil
cons
cons
43
ref
1861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1860
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1859
remove
nil
cons
cons
43
ref
1856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1412
ref
cons
1869
def
nil
cons
1870
def
"P"
1313
ref
var
1871
def
1855
remove
nil
cons
cons
"x"
1293
ref
var
1872
def
1346
remove
cons
nil
cons
1873
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
1874
def
subst
1628
ref
nil
96
ref
1386
ref
cons
nil
cons
nil
cons
cons
1875
def
102
ref
subst
1385
ref
assume
eqMp
1876
def
appThm
1044
ref
trans
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
1409
ref
nil
cons
1877
def
"P"
1815
ref
var
1878
def
1823
remove
nil
cons
cons
1818
ref
1832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
1655
ref
110
ref
1826
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
217
ref
236
ref
219
ref
1795
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
272
ref
proveHyp
755
ref
eqMp
nil
1111
ref
43
ref
1322
ref
nil
cons
1879
def
cons
1880
def
nil
cons
1881
def
cons
nil
cons
cons
1882
def
107
ref
subst
proveHyp
"t'"
1293
ref
var
1883
def
66
ref
1321
ref
1883
remove
varTerm
1884
def
appTerm
appTerm
145
ref
1315
ref
constTerm
1885
def
1308
ref
appTerm
1886
def
1884
remove
appTerm
appTerm
absTerm
1887
def
1400
ref
1
ref
1
ref
1282
ref
1280
ref
cons
opType
1888
def
1
ref
1284
ref
1412
ref
cons
opType
nil
cons
cons
opType
constTerm
"Data.Pair.snd"
const
1888
ref
constTerm
1889
def
appTerm
1309
ref
appTerm
1890
def
appTerm
betaConv
sym
nil
1342
ref
43
ref
1321
ref
1890
ref
appTerm
nil
cons
1891
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
1407
ref
"f"
1888
remove
var
1889
ref
nil
cons
cons
1892
def
nil
cons
cons
nil
cons
cons
1409
ref
"B"
1280
ref
cons
1893
def
nil
cons
1894
def
cons
23
ref
cons
1895
def
1794
ref
subst
subst
eqMp
nil
25
ref
1891
remove
cons
43
ref
1886
ref
1890
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
1301
ref
1890
remove
nil
cons
1896
def
cons
1348
ref
cons
nil
cons
cons
1352
ref
442
ref
subst
1897
def
subst
1529
ref
1364
ref
50
ref
1368
ref
appTerm
1898
def
refl
1899
def
nil
1407
ref
1892
remove
292
ref
1366
ref
nil
cons
1900
def
cons
nil
cons
1901
def
cons
cons
nil
cons
cons
1895
remove
1813
ref
subst
subst
appThm
absThm
appThm
trans
sym
nil
1374
ref
"z"
285
ref
var
1902
def
50
ref
1365
ref
1902
ref
varTerm
1903
def
appTerm
1904
def
1308
ref
appTerm
1905
def
appTerm
1817
ref
1818
ref
66
ref
1436
ref
1903
ref
appTerm
1906
def
1889
ref
1819
ref
appTerm
appTerm
appTerm
1822
ref
appTerm
absTerm
1907
def
appTerm
1908
def
appTerm
1909
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
1902
ref
nil
96
ref
1909
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1905
ref
nil
cons
1910
def
cons
43
ref
1908
remove
nil
cons
1911
def
cons
nil
cons
cons
nil
cons
cons
1912
def
76
ref
subst
1912
remove
107
ref
subst
1907
ref
1851
ref
1903
ref
appTerm
1913
def
appTerm
betaConv
sym
153
ref
1906
remove
refl
nil
1833
ref
1903
ref
nil
cons
1914
def
cons
1835
ref
214
ref
cons
nil
cons
1915
def
cons
nil
cons
cons
1833
ref
1436
ref
1889
remove
1839
ref
appTerm
appTerm
1838
ref
appTerm
absTerm
1916
def
1838
ref
appTerm
1917
def
betaConv
1835
ref
291
ref
1916
ref
appTerm
1918
def
absTerm
1919
def
1836
ref
appTerm
1920
def
betaConv
nil
166
ref
1919
ref
appTerm
1921
def
axiom
nil
25
ref
1921
remove
nil
cons
cons
43
ref
1920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1919
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1918
remove
nil
cons
cons
43
ref
1917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1916
remove
nil
cons
cons
1848
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
nil
1364
ref
1914
ref
cons
nil
cons
nil
cons
cons
1614
ref
subst
trans
appThm
nil
292
ref
1914
remove
cons
nil
cons
nil
cons
cons
1874
ref
subst
153
ref
1092
ref
appThm
1922
def
nil
96
ref
1910
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
1905
remove
assume
eqMp
appThm
1044
ref
trans
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
1877
ref
1878
remove
1907
remove
nil
cons
cons
1818
ref
1913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
1910
remove
cons
110
ref
1911
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
1870
ref
1871
ref
1887
ref
nil
cons
cons
1872
ref
1896
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
237
ref
1857
ref
constTerm
1923
def
1887
remove
appTerm
nil
cons
cons
1881
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
1349
ref
1352
ref
755
ref
subst
subst
eqMp
eqMp
eqMp
nil
108
ref
1341
ref
cons
110
ref
1340
ref
cons
1924
def
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
1386
ref
cons
1925
def
110
ref
1372
ref
cons
nil
cons
1926
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
1074
ref
110
ref
1391
remove
cons
nil
cons
1927
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
1396
remove
cons
1927
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
1395
remove
appTerm
nil
cons
cons
43
ref
50
ref
1354
remove
appTerm
1390
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
1353
ref
nil
cons
1928
def
cons
1927
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
1378
remove
cons
1926
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
291
ref
1364
ref
50
ref
1369
ref
1366
ref
appTerm
appTerm
1371
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
1370
remove
appTerm
1371
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
1369
remove
nil
cons
cons
1926
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
nil
25
ref
1372
remove
cons
43
ref
50
ref
1323
remove
appTerm
1929
def
1310
remove
appTerm
1930
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
1301
ref
1930
remove
absTerm
1931
def
1308
ref
appTerm
1932
def
betaConv
38
ref
1858
ref
1931
ref
appTerm
1933
def
absTerm
1934
def
39
ref
appTerm
1935
def
betaConv
205
ref
38
ref
1858
ref
refl
1936
def
1301
ref
1929
ref
refl
1287
ref
1301
ref
1290
ref
1309
ref
appTerm
1130
ref
1
ref
1815
ref
1294
ref
cons
opType
constTerm
1937
def
"v"
1282
ref
var
1938
def
238
ref
35
ref
1363
ref
292
ref
66
ref
8
ref
1
ref
1282
ref
1815
ref
nil
cons
1939
def
cons
opType
constTerm
1940
def
1938
ref
varTerm
appTerm
1941
def
1852
ref
appTerm
appTerm
1942
def
1854
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1943
def
appTerm
absTerm
1944
def
1308
ref
appTerm
1945
def
betaConv
38
ref
1858
ref
1944
ref
appTerm
1946
def
absTerm
1947
def
39
ref
appTerm
1948
def
betaConv
nil
200
ref
1947
ref
appTerm
1949
def
axiom
nil
25
ref
1949
remove
nil
cons
cons
43
ref
1948
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1947
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1946
remove
nil
cons
cons
43
ref
1945
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
1944
remove
nil
cons
cons
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
appThm
nil
96
ref
1929
ref
1286
ref
1943
remove
appTerm
1950
def
appTerm
1951
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1340
ref
cons
1952
def
43
ref
1950
ref
nil
cons
1953
def
cons
nil
cons
1954
def
cons
nil
cons
cons
1955
def
76
ref
subst
1955
remove
107
ref
subst
nil
1057
ref
110
ref
1879
ref
cons
1956
def
nil
cons
cons
nil
cons
cons
1957
def
122
ref
subst
1958
def
1957
remove
139
ref
subst
1959
def
"t"
1
ref
26
ref
1412
ref
cons
opType
1960
def
var
1961
def
50
ref
1045
ref
166
ref
35
ref
435
ref
1321
ref
1961
ref
varTerm
1962
def
36
ref
appTerm
1963
def
appTerm
1964
def
appTerm
absTerm
appTerm
1965
def
appTerm
1966
def
appTerm
1967
def
1286
ref
1937
ref
1938
ref
238
ref
35
ref
1363
ref
292
ref
1942
ref
1440
ref
1384
ref
1963
ref
appTerm
1968
def
appTerm
1969
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1970
def
appTerm
1971
def
appTerm
absTerm
1972
def
35
ref
1308
ref
absTerm
1973
def
appTerm
1974
def
betaConv
38
ref
158
ref
1
ref
1
ref
1960
ref
4
ref
cons
opType
1975
def
4
ref
cons
opType
constTerm
1976
def
1972
ref
appTerm
1977
def
absTerm
1978
def
39
ref
appTerm
1979
def
betaConv
"f"
1830
ref
var
1980
def
200
ref
38
ref
1976
ref
1961
ref
1967
ref
1286
ref
1937
ref
1938
ref
238
ref
35
ref
1363
ref
292
ref
66
ref
1941
ref
1980
remove
varTerm
36
ref
appTerm
294
ref
appTerm
appTerm
appTerm
1969
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1981
def
1831
ref
appTerm
1982
def
betaConv
"C"
1283
ref
cons
212
ref
1894
ref
cons
cons
23
ref
cons
nil
"P"
1
ref
1
ref
26
ref
1
ref
285
ref
"C"
varType
1983
def
nil
cons
1984
def
cons
opType
1985
def
nil
cons
1986
def
cons
opType
1987
def
4
ref
cons
opType
1988
def
var
1989
def
"f"
1987
ref
var
1990
def
200
ref
38
ref
1976
ref
1961
ref
1967
remove
0
ref
1
ref
2
ref
1984
ref
opType
1991
def
4
ref
cons
opType
1992
def
constTerm
1993
def
1130
ref
1
ref
1
ref
1983
ref
4
ref
cons
opType
1994
def
1991
ref
nil
cons
1995
def
cons
opType
constTerm
1996
def
"v"
1983
ref
var
1997
def
238
ref
35
ref
1363
ref
292
ref
66
ref
8
ref
1
ref
1983
ref
1994
ref
nil
cons
1998
def
cons
opType
constTerm
1999
def
1997
ref
varTerm
appTerm
1990
ref
varTerm
2000
def
36
ref
appTerm
2001
def
294
ref
appTerm
2002
def
appTerm
appTerm
2003
def
1969
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2004
def
appTerm
2005
def
appTerm
2006
def
absTerm
2007
def
appTerm
2008
def
absTerm
2009
def
appTerm
2010
def
absTerm
2011
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1987
ref
nil
cons
cons
nil
cons
2012
def
23
ref
cons
252
ref
subst
subst
1990
ref
nil
96
ref
2010
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2009
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2008
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
"P"
1975
remove
var
2013
def
2007
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1960
ref
nil
cons
cons
nil
cons
2014
def
23
ref
cons
2015
def
252
ref
subst
2016
def
subst
1961
ref
nil
96
ref
2006
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1966
remove
nil
cons
2017
def
cons
43
ref
2005
remove
nil
cons
2018
def
cons
nil
cons
2019
def
cons
nil
cons
cons
2020
def
76
ref
subst
2020
remove
107
ref
subst
nil
1057
ref
110
ref
1965
ref
nil
cons
2021
def
cons
nil
cons
cons
nil
cons
cons
2022
def
122
ref
subst
2022
remove
139
ref
subst
"t"
1991
ref
var
2023
def
66
ref
1993
ref
2023
ref
varTerm
2024
def
appTerm
appTerm
145
ref
1
ref
1991
ref
1992
ref
nil
cons
2025
def
cons
opType
2026
def
constTerm
2004
ref
appTerm
2027
def
2024
remove
appTerm
appTerm
absTerm
2028
def
1400
ref
1
ref
1
ref
1282
ref
1984
ref
cons
opType
2029
def
1
ref
1284
ref
1995
ref
cons
opType
nil
cons
cons
opType
constTerm
"select"
const
2030
def
1
ref
1
ref
2029
ref
4
ref
cons
opType
2031
def
2029
ref
nil
cons
2032
def
cons
opType
constTerm
2033
def
"f"
2029
ref
var
2034
def
166
ref
35
ref
291
ref
292
ref
1999
ref
2034
ref
varTerm
1852
ref
appTerm
appTerm
2002
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2035
def
appTerm
1970
ref
appTerm
2036
def
appTerm
betaConv
sym
nil
25
ref
2021
remove
cons
43
ref
1971
ref
nil
cons
2037
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2038
def
1961
ref
50
ref
1965
remove
appTerm
1971
remove
appTerm
absTerm
2039
def
1962
ref
appTerm
2040
def
betaConv
2041
def
nil
1111
ref
43
ref
1976
ref
2039
ref
appTerm
2042
def
nil
cons
2043
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
38
ref
673
ref
2042
ref
appTerm
absTerm
2044
def
39
ref
appTerm
2045
def
betaConv
1976
ref
refl
2046
def
1961
ref
50
ref
166
ref
35
ref
50
ref
833
remove
appTerm
2047
def
1964
ref
appTerm
absTerm
appTerm
2048
def
appTerm
2049
def
refl
1287
ref
1961
ref
1290
ref
1937
ref
1938
ref
238
ref
35
ref
1363
ref
292
ref
1942
ref
1476
remove
1968
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2050
def
appTerm
16
ref
1284
ref
constTerm
2051
def
appTerm
absTerm
2052
def
1962
ref
appTerm
2053
def
betaConv
nil
1976
ref
2052
ref
appTerm
2054
def
axiom
nil
25
ref
2054
remove
nil
cons
cons
43
ref
2053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2014
ref
2013
ref
2052
remove
nil
cons
cons
"x"
1960
ref
var
2055
def
1962
ref
nil
cons
cons
nil
cons
2056
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
1877
remove
23
ref
cons
2057
def
386
ref
subst
2058
def
trans
appThm
nil
96
ref
2048
remove
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
512
remove
14
ref
appTerm
appTerm
14
ref
appTerm
absTerm
2059
def
99
ref
appTerm
2060
def
betaConv
nil
159
ref
2059
ref
appTerm
2061
def
axiom
nil
25
ref
2061
remove
nil
cons
cons
43
ref
2060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2059
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2062
def
subst
trans
absThm
appThm
575
ref
2015
remove
844
ref
subst
subst
trans
sym
94
ref
eqMp
nil
25
ref
1976
ref
1961
ref
2049
remove
1286
ref
2050
remove
appTerm
appTerm
absTerm
appTerm
2063
def
nil
cons
cons
43
ref
166
ref
35
ref
200
ref
38
ref
50
ref
66
ref
2042
ref
appTerm
1028
ref
appTerm
2064
def
appTerm
1976
ref
1961
ref
50
ref
166
ref
443
ref
50
ref
1479
ref
appTerm
2065
def
1321
ref
1962
ref
444
ref
appTerm
2066
def
appTerm
2067
def
appTerm
absTerm
2068
def
appTerm
2069
def
appTerm
1286
ref
1937
ref
1938
ref
238
ref
443
ref
1363
ref
292
ref
66
ref
1941
remove
1831
ref
444
ref
appTerm
294
ref
appTerm
appTerm
appTerm
2070
def
1480
remove
1384
ref
2066
remove
appTerm
2071
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2072
def
appTerm
2073
def
absTerm
2074
def
appTerm
2075
def
appTerm
2076
def
absTerm
2077
def
appTerm
2078
def
absTerm
2079
def
appTerm
2080
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
2079
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2078
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2077
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2076
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2064
remove
nil
cons
2081
def
cons
43
ref
2075
remove
nil
cons
2082
def
cons
nil
cons
cons
nil
cons
cons
2083
def
76
ref
subst
2083
remove
107
ref
subst
nil
108
ref
2043
ref
cons
110
ref
1028
ref
nil
cons
cons
nil
cons
2084
def
cons
nil
cons
cons
122
ref
subst
nil
2013
ref
2074
remove
nil
cons
cons
nil
cons
nil
cons
cons
2016
remove
subst
1961
ref
nil
96
ref
2073
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2069
remove
nil
cons
2085
def
cons
2086
def
43
ref
2072
remove
nil
cons
2087
def
cons
nil
cons
cons
nil
cons
cons
2088
def
76
ref
subst
2088
remove
107
ref
subst
1287
ref
nil
1915
ref
nil
cons
cons
2089
def
1835
ref
1290
ref
1937
ref
1938
ref
238
ref
35
ref
1363
ref
292
ref
1942
ref
66
ref
423
ref
34
ref
1836
ref
appTerm
2090
def
39
ref
appTerm
appTerm
2091
def
appTerm
1968
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
190
remove
1
ref
1284
ref
1
ref
1284
ref
1294
ref
cons
opType
nil
cons
cons
opType
constTerm
1400
ref
1
ref
1829
ref
1295
remove
cons
opType
constTerm
2092
def
1837
remove
appTerm
1962
ref
1836
ref
appTerm
2093
def
appTerm
appTerm
1970
ref
appTerm
appTerm
absTerm
2094
def
1836
ref
appTerm
2095
def
betaConv
1961
remove
166
ref
2094
ref
appTerm
2096
def
absTerm
2097
def
1962
remove
appTerm
2098
def
betaConv
38
ref
1976
ref
2097
ref
appTerm
2099
def
absTerm
2100
def
39
ref
appTerm
2101
def
betaConv
nil
200
ref
2100
ref
appTerm
2102
def
axiom
nil
25
ref
2102
remove
nil
cons
cons
43
ref
2101
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2100
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2099
remove
nil
cons
cons
43
ref
2098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2014
ref
2013
ref
2097
remove
nil
cons
cons
2056
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2096
remove
nil
cons
cons
43
ref
2095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2094
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
nil
"t"
1284
ref
var
2103
def
1937
ref
1938
ref
238
ref
443
ref
1363
ref
292
ref
2070
remove
1703
ref
2071
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2104
def
nil
cons
cons
1405
ref
2092
remove
1851
ref
appTerm
1963
ref
appTerm
2105
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
2057
ref
1782
ref
subst
subst
trans
sym
nil
1797
remove
nil
cons
cons
473
ref
subst
1672
remove
trans
sym
94
ref
eqMp
nil
25
ref
423
ref
40
ref
appTerm
nil
cons
cons
43
ref
1964
remove
nil
cons
2106
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
443
ref
214
ref
cons
nil
cons
nil
cons
cons
2068
ref
444
ref
appTerm
2107
def
betaConv
nil
2086
remove
43
ref
2107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
2068
remove
nil
cons
cons
452
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2108
def
subst
eqMp
nil
25
ref
2106
remove
cons
43
ref
1286
ref
2105
remove
appTerm
nil
cons
2109
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
1345
ref
1963
ref
nil
cons
cons
"f"
1829
remove
var
1851
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1350
ref
"B"
1283
ref
cons
nil
cons
2110
def
cons
23
ref
cons
1794
ref
subst
subst
eqMp
nil
25
ref
2109
remove
cons
43
ref
1286
ref
2104
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
443
ref
50
ref
1702
ref
appTerm
2111
def
2067
ref
appTerm
2112
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
2112
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1702
ref
nil
cons
2113
def
cons
43
ref
2067
remove
nil
cons
2114
def
cons
nil
cons
2115
def
cons
nil
cons
cons
2116
def
76
ref
subst
2116
remove
107
ref
subst
nil
453
remove
nil
cons
cons
2117
def
473
ref
subst
2118
def
478
remove
refl
nil
96
ref
2113
ref
cons
nil
cons
nil
cons
cons
2119
def
102
ref
subst
1702
ref
assume
eqMp
2120
def
appThm
nil
96
ref
502
ref
cons
nil
cons
nil
cons
cons
2121
def
1700
ref
subst
trans
trans
sym
94
ref
eqMp
nil
25
ref
1479
ref
nil
cons
cons
2115
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
2108
remove
eqMp
eqMp
nil
108
ref
2113
ref
cons
2122
def
110
ref
2114
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
2038
remove
proveHyp
2041
remove
nil
25
ref
2043
remove
cons
43
ref
2040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2123
def
2014
ref
2013
ref
2039
remove
nil
cons
cons
2056
remove
cons
nil
cons
cons
185
ref
subst
2124
def
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2085
remove
cons
110
ref
2087
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
eqMp
nil
108
ref
2081
remove
cons
110
ref
2082
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
2063
remove
appTerm
2080
remove
appTerm
nil
cons
cons
43
ref
200
ref
2044
ref
appTerm
nil
cons
2125
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
2042
remove
absTerm
2126
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
153
ref
2126
ref
39
ref
appTerm
betaConv
2127
def
appThm
1028
ref
refl
2128
def
appThm
appThm
2126
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
1110
ref
2127
remove
appThm
absThm
appThm
appThm
nil
694
ref
2126
remove
nil
cons
cons
nil
cons
nil
cons
cons
1116
ref
subst
eqMp
eqMp
nil
25
ref
2125
remove
cons
43
ref
2045
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2044
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
2123
remove
proveHyp
2124
remove
eqMp
eqMp
eqMp
nil
25
ref
2037
remove
cons
43
ref
1993
remove
2036
ref
appTerm
nil
cons
2129
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
1405
ref
1970
ref
nil
cons
cons
2130
def
2034
remove
2035
ref
nil
cons
cons
2131
def
nil
cons
cons
nil
cons
cons
1409
remove
"B"
1984
ref
cons
nil
cons
cons
23
ref
cons
2132
def
1794
ref
subst
subst
eqMp
nil
25
ref
2129
remove
cons
43
ref
2027
remove
2036
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
2023
remove
2036
remove
nil
cons
2133
def
cons
"s"
1991
ref
var
2004
ref
nil
cons
cons
nil
cons
2134
def
cons
nil
cons
cons
"A"
1984
ref
cons
nil
cons
23
ref
cons
2135
def
442
ref
subst
subst
158
ref
1
ref
1994
ref
4
ref
cons
opType
2136
def
constTerm
2137
def
refl
2138
def
"x"
1983
ref
var
2139
def
50
ref
420
ref
1
ref
1983
ref
2025
remove
cons
opType
constTerm
2140
def
2139
ref
varTerm
2141
def
appTerm
2142
def
2004
remove
appTerm
appTerm
refl
nil
2130
remove
2131
remove
"y"
1983
ref
var
2141
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2132
remove
1813
ref
subst
subst
77
ref
1817
ref
refl
1818
ref
1818
ref
66
ref
1999
ref
2141
ref
appTerm
2143
def
2035
remove
1819
ref
appTerm
appTerm
appTerm
1821
ref
1970
remove
appTerm
appTerm
absTerm
2144
def
1819
ref
appTerm
betaConv
absThm
appThm
appThm
1463
ref
1835
ref
1462
ref
1833
ref
2144
ref
1839
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
1815
ref
var
2145
def
2144
remove
nil
cons
cons
nil
cons
nil
cons
cons
2145
ref
52
ref
1817
remove
1818
ref
2145
ref
varTerm
2146
def
1819
ref
appTerm
absTerm
appTerm
appTerm
238
ref
1835
ref
1363
ref
1833
ref
2146
ref
1839
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2147
def
2146
ref
appTerm
2148
def
betaConv
nil
158
ref
1
ref
1816
ref
4
ref
cons
opType
constTerm
2147
ref
appTerm
2149
def
axiom
nil
25
ref
2149
remove
nil
cons
cons
43
ref
2148
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1939
remove
cons
nil
cons
"P"
1816
ref
var
2147
remove
nil
cons
cons
"x"
1815
remove
var
2146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
trans
1463
ref
1835
ref
1462
ref
1833
ref
153
ref
2143
ref
refl
nil
292
ref
1847
remove
cons
1846
ref
cons
nil
cons
cons
292
ref
1999
ref
2033
remove
"_11932"
2029
ref
var
2150
def
166
ref
35
ref
291
ref
292
ref
1999
ref
2150
remove
varTerm
1852
ref
appTerm
appTerm
2002
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2151
def
appTerm
2152
def
1852
ref
appTerm
appTerm
2002
ref
appTerm
absTerm
2153
def
294
ref
appTerm
2154
def
betaConv
35
ref
291
ref
2153
ref
appTerm
2155
def
absTerm
2156
def
36
ref
appTerm
2157
def
betaConv
2151
ref
2152
remove
appTerm
2158
def
betaConv
1990
ref
237
ref
1
ref
2031
ref
4
ref
cons
opType
constTerm
2159
def
"fn"
2029
remove
var
2160
def
166
ref
1835
ref
291
ref
1833
ref
1999
ref
2160
remove
varTerm
1839
ref
appTerm
appTerm
2000
ref
1836
ref
appTerm
1838
ref
appTerm
2161
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2162
def
2000
ref
appTerm
2163
def
betaConv
nil
158
ref
1
ref
1988
remove
4
ref
cons
opType
constTerm
2164
def
2162
ref
appTerm
2165
def
axiom
nil
25
ref
2165
remove
nil
cons
cons
43
ref
2163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2012
ref
1989
ref
2162
remove
nil
cons
cons
"x"
1987
remove
var
2000
ref
nil
cons
cons
nil
cons
2166
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2159
remove
2151
ref
appTerm
nil
cons
cons
43
ref
2158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"p"
2031
remove
var
2151
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2032
remove
cons
nil
cons
23
ref
cons
nil
25
ref
238
ref
177
ref
appTerm
2167
def
nil
cons
2168
def
cons
2169
def
43
ref
52
ref
177
ref
2030
ref
1
ref
164
ref
27
ref
cons
opType
constTerm
2170
def
177
ref
appTerm
appTerm
2171
def
appTerm
2172
def
14
ref
appTerm
2173
def
nil
cons
2174
def
cons
nil
cons
2175
def
cons
nil
cons
cons
2176
def
76
ref
subst
2176
remove
107
ref
subst
1463
ref
nil
"t"
164
ref
var
2177
def
1212
ref
cons
nil
cons
nil
cons
cons
212
ref
"B"
4
ref
cons
nil
cons
2178
def
cons
23
ref
cons
2179
def
"t"
1411
ref
var
2180
def
8
ref
1
ref
1411
ref
1428
ref
nil
cons
cons
opType
constTerm
2181
def
35
ref
2180
ref
varTerm
2182
def
36
ref
appTerm
absTerm
2183
def
appTerm
2182
ref
appTerm
2184
def
absTerm
2185
def
2182
ref
appTerm
2186
def
betaConv
nil
1430
ref
2185
ref
appTerm
2187
def
axiom
2188
def
nil
25
ref
2187
remove
nil
cons
cons
43
ref
2186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
2185
remove
nil
cons
cons
1455
ref
2182
ref
nil
cons
cons
nil
cons
2189
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
96
ref
2168
ref
cons
nil
cons
nil
cons
cons
2190
def
102
ref
subst
2167
ref
assume
eqMp
trans
sym
94
ref
eqMp
nil
25
ref
238
ref
35
ref
241
ref
absTerm
2191
def
appTerm
2192
def
nil
cons
cons
2175
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
167
ref
1212
remove
cons
110
ref
2174
remove
cons
nil
cons
2193
def
cons
nil
cons
cons
nil
255
remove
43
ref
50
ref
238
ref
35
ref
171
ref
absTerm
2194
def
appTerm
2195
def
appTerm
114
ref
appTerm
2196
def
nil
cons
2197
def
cons
nil
cons
2198
def
cons
nil
cons
cons
2199
def
140
ref
subst
2199
ref
76
ref
subst
2199
remove
107
ref
subst
nil
167
ref
35
ref
50
ref
2194
ref
36
ref
appTerm
2200
def
appTerm
114
remove
appTerm
2201
def
absTerm
2202
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2201
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2200
ref
nil
cons
2203
def
cons
257
ref
cons
nil
cons
cons
2204
def
76
ref
subst
2204
remove
107
ref
subst
2200
ref
betaConv
2205
def
2200
remove
assume
eqMp
260
remove
proveHyp
263
remove
eqMp
eqMp
nil
108
ref
2203
remove
cons
265
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
2202
remove
appTerm
nil
cons
cons
2198
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2194
remove
nil
cons
cons
2206
def
265
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
nil
264
remove
110
ref
2197
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
250
remove
2196
ref
appTerm
nil
cons
cons
43
ref
50
ref
2196
ref
appTerm
249
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
2197
ref
cons
43
ref
254
ref
cons
nil
cons
cons
nil
cons
cons
2207
def
76
ref
subst
2207
remove
107
ref
subst
nil
262
remove
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
247
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
259
ref
76
ref
subst
259
remove
107
ref
subst
2205
remove
sym
171
ref
assume
eqMp
213
ref
2206
remove
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
2195
remove
nil
cons
cons
257
remove
cons
nil
cons
cons
135
ref
subst
2196
remove
assume
eqMp
proveHyp
eqMp
nil
108
ref
172
remove
cons
265
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
2197
remove
cons
110
ref
254
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
167
ref
35
ref
242
ref
2173
ref
appTerm
2208
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2208
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
241
ref
nil
cons
2209
def
cons
2210
def
2175
remove
cons
nil
cons
cons
2211
def
76
ref
subst
2211
remove
107
ref
subst
nil
96
ref
2171
ref
nil
cons
2212
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
2210
remove
43
ref
2212
remove
cons
2213
def
nil
cons
cons
nil
cons
cons
135
ref
subst
35
ref
242
ref
2171
ref
appTerm
absTerm
2214
def
36
ref
appTerm
2215
def
betaConv
175
ref
166
ref
2214
ref
appTerm
2216
def
absTerm
2217
def
177
ref
appTerm
2218
def
betaConv
nil
354
ref
2217
ref
appTerm
2219
def
axiom
nil
25
ref
2219
remove
nil
cons
cons
43
ref
2218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
2217
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2216
remove
nil
cons
cons
43
ref
2215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2214
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2209
ref
cons
2193
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2168
ref
cons
2193
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
2167
ref
appTerm
2220
def
2173
remove
appTerm
nil
cons
cons
43
ref
52
ref
2220
ref
2171
remove
appTerm
appTerm
2221
def
2220
ref
14
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"q'"
3
ref
var
2222
def
21
remove
cons
nil
cons
nil
cons
cons
2223
def
2167
ref
refl
nil
25
ref
52
ref
2167
ref
appTerm
2224
def
2167
ref
appTerm
nil
cons
cons
43
ref
50
ref
2220
ref
2172
remove
2222
ref
varTerm
2225
def
appTerm
2226
def
appTerm
appTerm
2221
ref
2220
remove
2225
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"p'"
3
ref
var
2227
def
2168
remove
cons
nil
cons
nil
cons
cons
2222
ref
50
ref
2224
remove
2227
ref
varTerm
2228
def
appTerm
appTerm
50
ref
50
ref
2228
ref
appTerm
2229
def
2226
remove
appTerm
appTerm
2221
remove
2229
ref
2225
ref
appTerm
2230
def
appTerm
appTerm
appTerm
absTerm
2231
def
2225
ref
appTerm
2232
def
betaConv
2227
ref
159
ref
2231
ref
appTerm
2233
def
absTerm
2234
def
2228
ref
appTerm
2235
def
betaConv
nil
2213
remove
2169
remove
nil
cons
cons
nil
cons
cons
nil
161
ref
2227
ref
159
ref
2222
ref
50
ref
54
ref
2228
ref
appTerm
2236
def
appTerm
50
ref
2229
ref
52
ref
55
ref
appTerm
2237
def
2225
ref
appTerm
2238
def
appTerm
2239
def
appTerm
65
ref
2230
ref
appTerm
2240
def
appTerm
2241
def
appTerm
2242
def
absTerm
2243
def
appTerm
2244
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2227
ref
nil
96
ref
2244
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
2243
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2222
ref
nil
96
ref
2242
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2236
remove
nil
cons
2245
def
cons
2246
def
43
ref
2241
remove
nil
cons
2247
def
cons
nil
cons
cons
nil
cons
cons
2248
def
76
ref
subst
2248
remove
107
ref
subst
nil
25
ref
2239
ref
nil
cons
2249
def
cons
43
ref
2240
remove
nil
cons
2250
def
cons
nil
cons
cons
nil
cons
cons
2251
def
76
ref
subst
2251
remove
107
ref
subst
nil
126
remove
43
ref
2230
ref
nil
cons
2252
def
cons
nil
cons
cons
nil
cons
cons
2253
def
140
ref
subst
2253
ref
76
ref
subst
2253
remove
107
ref
subst
nil
25
ref
2228
ref
nil
cons
2254
def
cons
2255
def
43
ref
2225
ref
nil
cons
2256
def
cons
nil
cons
2257
def
cons
nil
cons
cons
2258
def
76
ref
subst
2258
ref
107
ref
subst
nil
2246
ref
43
ref
63
ref
2228
ref
appTerm
2259
def
nil
cons
2260
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
25
ref
97
ref
cons
2261
def
43
ref
2254
ref
cons
nil
cons
cons
nil
cons
cons
2262
def
752
ref
subst
eqMp
2263
def
nil
25
ref
2260
ref
cons
2264
def
2257
ref
cons
nil
cons
cons
2265
def
135
ref
subst
proveHyp
nil
2246
remove
43
ref
2229
ref
53
ref
appTerm
2266
def
nil
cons
2267
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2262
ref
nil
747
remove
129
remove
cons
nil
cons
cons
2268
def
76
ref
subst
2268
remove
107
ref
subst
130
remove
eqMp
nil
750
remove
137
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2269
def
subst
eqMp
2270
def
nil
25
ref
2267
ref
cons
2271
def
43
ref
50
ref
2259
ref
appTerm
2272
def
2225
ref
appTerm
nil
cons
2273
def
cons
nil
cons
cons
nil
cons
cons
2274
def
135
ref
subst
proveHyp
2274
ref
76
ref
subst
2274
remove
107
ref
subst
2265
ref
76
ref
subst
2265
remove
107
ref
subst
nil
2255
ref
131
remove
cons
nil
cons
cons
135
ref
subst
2266
remove
assume
eqMp
2275
def
2262
remove
135
ref
subst
2259
remove
assume
eqMp
2276
def
2275
remove
proveHyp
proveHyp
nil
2255
remove
43
ref
2238
remove
nil
cons
2277
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2239
remove
assume
eqMp
2278
def
nil
25
ref
2277
remove
cons
2279
def
43
ref
127
ref
2225
ref
appTerm
2280
def
nil
cons
2281
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
60
ref
2257
ref
cons
nil
cons
cons
2282
def
752
ref
subst
eqMp
2283
def
nil
25
ref
2281
ref
cons
2284
def
2257
remove
cons
nil
cons
cons
2285
def
135
ref
subst
proveHyp
2278
remove
nil
2279
remove
43
ref
50
ref
2225
ref
appTerm
55
ref
appTerm
2286
def
nil
cons
2287
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2282
ref
2269
remove
subst
eqMp
2288
def
nil
25
ref
2287
ref
cons
2289
def
43
ref
50
ref
2280
ref
appTerm
2290
def
2225
ref
appTerm
nil
cons
2291
def
cons
nil
cons
cons
nil
cons
cons
2292
def
135
ref
subst
proveHyp
2292
ref
76
ref
subst
2292
remove
107
ref
subst
2285
ref
76
ref
subst
2285
remove
107
ref
subst
134
remove
2282
remove
135
ref
subst
2280
remove
assume
eqMp
proveHyp
eqMp
nil
108
ref
2281
remove
cons
2293
def
110
ref
2256
ref
cons
nil
cons
2294
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
2287
remove
cons
2295
def
110
ref
2291
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
2260
remove
cons
2296
def
2294
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
2267
remove
cons
2297
def
110
ref
2273
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2254
ref
cons
2294
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
136
remove
110
ref
2252
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
64
ref
appTerm
2230
ref
appTerm
nil
cons
cons
43
ref
50
ref
2230
ref
appTerm
64
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
2252
ref
cons
748
remove
cons
nil
cons
cons
2298
def
76
ref
subst
2298
remove
107
ref
subst
76
ref
107
ref
2263
remove
nil
2264
remove
61
ref
cons
nil
cons
cons
2299
def
135
ref
subst
proveHyp
2270
remove
nil
2271
remove
43
ref
2272
remove
55
ref
appTerm
nil
cons
2300
def
cons
nil
cons
cons
nil
cons
cons
2301
def
135
ref
subst
proveHyp
2301
ref
76
ref
subst
2301
remove
107
ref
subst
2299
ref
76
ref
subst
2299
remove
107
ref
subst
2276
remove
2283
remove
nil
2284
remove
61
ref
cons
nil
cons
cons
2302
def
135
ref
subst
proveHyp
2288
remove
nil
2289
remove
43
ref
2290
remove
55
ref
appTerm
nil
cons
2303
def
cons
nil
cons
cons
nil
cons
cons
2304
def
135
ref
subst
proveHyp
2304
ref
76
ref
subst
2304
remove
107
ref
subst
2302
ref
76
ref
subst
2302
remove
107
ref
subst
2258
remove
135
ref
subst
2230
ref
assume
eqMp
nil
25
ref
2256
ref
cons
61
remove
cons
nil
cons
cons
135
ref
subst
2286
remove
assume
eqMp
proveHyp
eqMp
nil
2293
remove
111
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
2295
remove
110
ref
2303
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
2296
remove
111
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
2297
remove
110
ref
2300
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
133
ref
deductAntisym
eqMp
eqMp
nil
108
ref
2252
remove
cons
751
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2249
remove
cons
110
ref
2250
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
2245
remove
cons
110
ref
2247
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2305
def
subst
nil
25
ref
159
ref
2234
ref
appTerm
nil
cons
cons
43
ref
2235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2234
remove
nil
cons
cons
20
ref
2254
remove
cons
nil
cons
2306
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2233
remove
nil
cons
cons
43
ref
2232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2231
remove
nil
cons
cons
20
ref
2256
remove
cons
nil
cons
2307
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
2190
remove
2062
ref
subst
trans
sym
94
ref
eqMp
2308
def
subst
subst
eqMp
eqMp
nil
25
ref
166
ref
2156
ref
appTerm
nil
cons
cons
43
ref
2157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2156
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2155
remove
nil
cons
cons
43
ref
2154
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
2153
remove
nil
cons
cons
1812
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
appThm
77
ref
1820
ref
1839
ref
appTerm
2309
def
refl
1937
ref
refl
2310
def
1938
ref
1463
ref
35
ref
1462
ref
292
ref
1942
ref
refl
2311
def
35
ref
292
ref
1969
ref
absTerm
2312
def
absTerm
2313
def
36
ref
appTerm
betaConv
294
ref
refl
2314
def
appThm
2312
remove
294
ref
appTerm
betaConv
trans
2315
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2313
ref
1836
ref
appTerm
betaConv
1838
ref
refl
appThm
292
ref
66
ref
422
ref
1836
ref
appTerm
2316
def
39
ref
appTerm
2317
def
appTerm
2318
def
1384
ref
2093
ref
appTerm
appTerm
absTerm
1838
ref
appTerm
betaConv
trans
appThm
nil
289
ref
2313
remove
nil
cons
cons
2319
def
nil
cons
nil
cons
cons
1833
ref
52
ref
2309
remove
1937
ref
1938
ref
238
ref
35
ref
1363
ref
292
ref
1942
ref
295
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
293
ref
1836
ref
appTerm
1838
ref
appTerm
appTerm
absTerm
2320
def
1838
ref
appTerm
2321
def
betaConv
1835
ref
291
ref
2320
ref
appTerm
2322
def
absTerm
2323
def
1836
ref
appTerm
2324
def
betaConv
289
ref
166
ref
2323
ref
appTerm
2325
def
absTerm
2326
def
293
ref
appTerm
2327
def
betaConv
nil
299
ref
2326
ref
appTerm
2328
def
axiom
nil
25
ref
2328
remove
nil
cons
cons
43
ref
2327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
301
ref
302
ref
2326
remove
nil
cons
cons
304
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2325
remove
nil
cons
cons
43
ref
2324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2323
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2322
remove
nil
cons
cons
43
ref
2321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
2320
remove
nil
cons
cons
1848
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
appThm
absThm
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
77
ref
2138
remove
2139
ref
51
ref
2142
remove
refl
1996
ref
refl
1997
ref
1463
ref
35
ref
1462
ref
292
ref
2003
ref
refl
2315
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2139
ref
238
ref
1835
ref
1363
ref
1833
ref
66
ref
2143
remove
2161
ref
appTerm
appTerm
2318
ref
1365
ref
1838
ref
appTerm
2329
def
2093
remove
appTerm
appTerm
2330
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2331
def
2141
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
204
ref
35
ref
1529
ref
292
ref
51
ref
2315
remove
appThm
2331
ref
2002
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
nil
2319
remove
"q"
1994
ref
var
2332
def
2331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2332
ref
52
ref
2137
remove
"z"
1983
remove
var
2333
def
50
ref
2140
remove
2333
remove
varTerm
2334
def
appTerm
1996
remove
1997
remove
238
ref
35
ref
1363
ref
292
ref
2003
remove
295
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
2332
remove
varTerm
2335
def
2334
remove
appTerm
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
291
ref
292
ref
50
ref
295
remove
appTerm
2335
ref
2002
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2336
def
2335
ref
appTerm
2337
def
betaConv
1990
remove
158
ref
1
ref
2136
ref
4
ref
cons
opType
constTerm
2336
ref
appTerm
2338
def
absTerm
2339
def
2000
remove
appTerm
2340
def
betaConv
289
remove
2164
ref
2339
ref
appTerm
2341
def
absTerm
2342
def
293
remove
appTerm
2343
def
betaConv
nil
299
ref
2342
ref
appTerm
2344
def
axiom
nil
25
ref
2344
remove
nil
cons
cons
43
ref
2343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
301
ref
302
ref
2342
remove
nil
cons
cons
304
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2341
remove
nil
cons
cons
43
ref
2340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2012
remove
1989
remove
2339
remove
nil
cons
cons
2166
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2338
remove
nil
cons
cons
43
ref
2337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1998
remove
cons
nil
cons
"P"
2136
remove
var
2336
remove
nil
cons
cons
"x"
1994
remove
var
2335
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
sym
nil
167
ref
35
ref
291
ref
292
ref
50
ref
1969
ref
appTerm
238
ref
1835
ref
1363
ref
1833
ref
66
ref
1999
ref
2002
ref
appTerm
2345
def
2161
remove
appTerm
appTerm
2330
remove
appTerm
absTerm
appTerm
absTerm
2346
def
appTerm
2347
def
appTerm
2348
def
absTerm
2349
def
appTerm
2350
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2350
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1374
ref
2349
remove
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
2348
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
1969
remove
nil
cons
2351
def
cons
43
ref
2347
remove
nil
cons
2352
def
cons
nil
cons
cons
nil
cons
cons
2353
def
76
ref
subst
2353
remove
107
ref
subst
nil
1074
ref
110
ref
1968
ref
nil
cons
2354
def
cons
nil
cons
cons
nil
cons
cons
2355
def
122
ref
subst
2355
remove
139
ref
subst
2346
ref
36
ref
appTerm
betaConv
sym
1833
ref
66
ref
2345
remove
2001
remove
1838
ref
appTerm
appTerm
appTerm
1440
ref
2329
remove
1963
remove
appTerm
appTerm
appTerm
absTerm
2356
def
294
ref
appTerm
betaConv
sym
153
ref
nil
2139
remove
2002
remove
nil
cons
cons
nil
cons
nil
cons
cons
2135
ref
1258
ref
subst
subst
appThm
1922
ref
nil
96
ref
2354
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
1968
remove
assume
eqMp
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
1351
ref
1374
ref
2356
remove
nil
cons
cons
1812
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
213
ref
167
ref
2346
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2351
remove
cons
110
ref
2352
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
"A"
1995
ref
cons
nil
cons
"P"
1992
ref
var
2028
ref
nil
cons
cons
"x"
1991
remove
var
2133
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
237
ref
1
ref
1992
remove
4
ref
cons
opType
constTerm
2028
remove
appTerm
nil
cons
cons
2019
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2134
remove
nil
cons
cons
2135
remove
755
ref
subst
subst
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
2017
remove
cons
110
ref
2018
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2357
def
subst
nil
25
ref
158
ref
1
ref
1
ref
1830
ref
4
ref
cons
opType
2358
def
4
ref
cons
opType
constTerm
1981
ref
appTerm
nil
cons
cons
43
ref
1982
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1830
ref
nil
cons
cons
nil
cons
"P"
2358
remove
var
1981
remove
nil
cons
cons
"x"
1830
remove
var
1831
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
1978
ref
appTerm
nil
cons
cons
43
ref
1979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1978
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1977
remove
nil
cons
cons
43
ref
1974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2014
ref
2013
ref
1972
remove
nil
cons
cons
2055
ref
1973
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
1045
ref
166
ref
35
ref
435
ref
1321
ref
1973
remove
36
ref
appTerm
2359
def
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
1286
ref
1937
remove
1938
ref
238
ref
35
ref
1363
ref
292
ref
1942
remove
1440
ref
1384
ref
2359
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
1954
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
1064
ref
204
ref
35
ref
1796
ref
1432
ref
2359
remove
betaConv
2360
def
appThm
nil
96
ref
1879
ref
cons
nil
cons
nil
cons
cons
2361
def
102
ref
subst
1322
ref
assume
2362
def
eqMp
2363
def
trans
appThm
1091
ref
2062
ref
subst
2364
def
trans
absThm
appThm
575
ref
844
ref
subst
2365
def
trans
appThm
1044
ref
trans
appThm
1287
ref
2310
remove
1938
remove
1463
ref
35
ref
1462
ref
292
ref
2311
remove
1440
ref
refl
2366
def
1384
ref
refl
2360
remove
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
96
ref
1953
ref
cons
nil
cons
nil
cons
cons
2367
def
501
ref
subst
trans
appThm
1950
remove
refl
appThm
2367
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
1340
remove
cons
2368
def
110
ref
1953
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
2369
def
trans
absThm
appThm
575
ref
1870
ref
23
ref
cons
2370
def
844
ref
subst
subst
trans
absThm
appThm
1746
ref
trans
sym
94
ref
eqMp
2371
def
nil
25
ref
200
ref
1934
ref
appTerm
2372
def
nil
cons
cons
43
ref
1935
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1934
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1933
remove
nil
cons
cons
43
ref
1932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
1931
remove
nil
cons
cons
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2373
def
eqMp
eqMp
eqMp
eqMp
nil
108
ref
1333
ref
cons
2374
def
110
ref
1335
ref
cons
nil
cons
2375
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1338
ref
cons
2376
def
1336
remove
cons
nil
cons
cons
2377
def
76
ref
subst
2377
remove
107
ref
subst
77
ref
1287
ref
1307
ref
refl
1319
ref
assume
2378
def
appThm
38
ref
1290
ref
1307
remove
1318
ref
appTerm
appTerm
2051
ref
appTerm
absTerm
2379
def
39
ref
appTerm
2380
def
betaConv
nil
200
ref
2379
ref
appTerm
2381
def
axiom
nil
25
ref
2381
remove
nil
cons
cons
43
ref
2380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2379
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
trans
appThm
2058
ref
trans
appThm
1255
ref
1316
ref
refl
2382
def
2378
ref
appThm
1318
ref
refl
2383
def
appThm
nil
1872
ref
1555
remove
cons
nil
cons
nil
cons
cons
2370
ref
1258
ref
subst
2384
def
subst
trans
appThm
1045
ref
refl
1432
ref
2378
ref
appThm
2385
def
1475
remove
trans
appThm
1061
ref
936
ref
subst
trans
appThm
1061
ref
595
ref
subst
trans
appThm
575
ref
1099
ref
subst
2386
def
trans
sym
94
ref
eqMp
eqMp
nil
1339
ref
2375
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
1319
ref
appTerm
2387
def
betaConv
686
ref
nil
687
ref
43
ref
2387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
1338
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
1339
ref
110
ref
1333
ref
cons
2388
def
612
ref
1335
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
108
ref
1305
ref
cons
2389
def
110
ref
1327
ref
cons
nil
cons
2390
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
378
ref
1328
remove
cons
nil
cons
cons
2391
def
76
ref
subst
2391
remove
107
ref
subst
77
ref
1287
remove
1296
ref
refl
381
ref
appThm
1308
ref
refl
2392
def
appThm
1349
ref
1345
ref
1290
ref
1296
remove
193
ref
appTerm
1345
ref
varTerm
2393
def
appTerm
appTerm
2051
remove
appTerm
absTerm
2394
def
2393
ref
appTerm
2395
def
betaConv
nil
1858
ref
2394
ref
appTerm
2396
def
axiom
nil
25
ref
2396
remove
nil
cons
cons
43
ref
2395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
2394
remove
nil
cons
cons
1872
ref
2393
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
trans
appThm
2058
remove
trans
appThm
1255
ref
188
ref
refl
2397
def
381
ref
appThm
193
ref
refl
2398
def
appThm
nil
219
ref
193
ref
nil
cons
2399
def
cons
nil
cons
nil
cons
cons
345
ref
1258
ref
subst
2400
def
subst
2401
def
trans
appThm
1320
ref
refl
153
ref
387
remove
appThm
1322
ref
refl
appThm
2361
remove
186
ref
subst
trans
appThm
appThm
nil
96
ref
1320
remove
1322
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
nil
388
ref
2390
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
369
ref
appTerm
2402
def
betaConv
686
ref
nil
687
ref
43
ref
2402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
377
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
388
ref
110
ref
1305
remove
cons
612
ref
1327
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
2403
def
subst
1255
ref
nil
419
ref
188
ref
1264
ref
appTerm
193
ref
appTerm
2404
def
appTerm
2405
def
axiom
nil
25
ref
2405
remove
nil
cons
cons
43
ref
52
ref
2404
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
2404
remove
nil
cons
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
2406
def
appThm
1255
ref
1352
ref
2406
ref
subst
2407
def
appThm
66
ref
30
ref
1264
ref
appTerm
2408
def
appTerm
1321
ref
1297
ref
appTerm
appTerm
2409
def
refl
appThm
nil
96
ref
2409
ref
nil
cons
cons
nil
cons
nil
cons
cons
567
ref
subst
2410
def
trans
appThm
2410
remove
trans
trans
trans
2411
def
subst
nil
96
ref
2408
ref
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
932
remove
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
2412
def
99
ref
appTerm
2413
def
betaConv
nil
159
ref
2412
ref
appTerm
2414
def
axiom
nil
25
ref
2414
remove
nil
cons
cons
43
ref
2413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2412
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
trans
nil
52
ref
0
ref
1
ref
2
ref
1279
ref
26
ref
27
ref
cons
2415
def
opType
nil
cons
opType
2416
def
4
ref
cons
opType
2417
def
constTerm
10
remove
2416
remove
constTerm
2418
def
appTerm
appTerm
2408
remove
appTerm
thm
1278
ref
77
ref
770
ref
1285
ref
constTerm
2419
def
refl
1300
remove
appThm
1303
remove
1301
ref
52
ref
2419
ref
1309
ref
appTerm
appTerm
456
ref
66
ref
1304
ref
appTerm
2420
def
770
ref
1313
ref
constTerm
2421
def
1308
ref
appTerm
appTerm
appTerm
66
ref
772
ref
appTerm
2422
def
1332
ref
appTerm
appTerm
appTerm
absTerm
2423
def
1308
ref
appTerm
2424
def
betaConv
38
ref
1858
ref
2423
ref
appTerm
2425
def
absTerm
2426
def
39
ref
appTerm
2427
def
betaConv
205
ref
38
ref
1936
ref
1301
ref
77
ref
nil
1407
remove
nil
cons
nil
cons
cons
2428
def
2057
ref
777
ref
subst
subst
518
ref
2403
ref
appThm
trans
appThm
1255
ref
2420
ref
refl
2429
def
1349
remove
1352
ref
777
ref
subst
2430
def
subst
appThm
appThm
153
ref
777
ref
appThm
2431
def
1332
ref
refl
2432
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
25
ref
200
ref
38
ref
1858
ref
1301
ref
52
ref
419
ref
1325
ref
appTerm
2433
def
appTerm
456
ref
2420
ref
419
ref
1322
ref
appTerm
2434
def
appTerm
2435
def
appTerm
66
ref
773
ref
appTerm
2436
def
1332
ref
appTerm
2437
def
appTerm
2438
def
appTerm
absTerm
2439
def
appTerm
absTerm
2440
def
appTerm
2441
def
nil
cons
cons
nil
cons
nil
cons
cons
54
ref
refl
2442
def
nil
96
ref
419
ref
53
ref
appTerm
2443
def
nil
cons
2444
def
cons
nil
cons
nil
cons
cons
517
ref
subst
appThm
sym
2442
remove
98
ref
96
ref
52
ref
419
ref
513
ref
appTerm
appTerm
99
ref
appTerm
absTerm
2445
def
99
ref
appTerm
2446
def
betaConv
nil
159
ref
2445
ref
appTerm
2447
def
axiom
nil
25
ref
2447
remove
nil
cons
cons
43
ref
2446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2445
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2448
def
subst
2449
def
appThm
nil
334
ref
nil
cons
cons
24
remove
1258
ref
subst
2450
def
subst
trans
sym
94
ref
eqMp
2451
def
eqMp
2452
def
subst
sym
nil
25
ref
419
ref
2441
remove
appTerm
2453
def
nil
cons
2454
def
cons
2455
def
510
ref
cons
nil
cons
cons
2456
def
76
ref
subst
2456
remove
107
ref
subst
1352
ref
385
ref
subst
nil
25
ref
1321
ref
1318
ref
appTerm
2457
def
nil
cons
2458
def
cons
2459
def
510
ref
cons
nil
cons
cons
2460
def
135
ref
subst
2461
def
proveHyp
385
remove
nil
25
ref
384
ref
cons
2462
def
43
ref
50
ref
2457
ref
appTerm
15
ref
appTerm
2463
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2455
ref
43
ref
50
ref
383
ref
appTerm
2464
def
2463
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
50
ref
2453
ref
appTerm
refl
2464
ref
refl
nil
96
ref
2458
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
2465
def
appThm
appThm
sym
nil
2455
remove
43
ref
2464
remove
419
ref
2457
remove
appTerm
2466
def
appTerm
nil
cons
2467
def
cons
nil
cons
cons
nil
cons
cons
2468
def
76
ref
subst
2468
remove
107
ref
subst
nil
2462
ref
43
ref
2466
ref
nil
cons
2469
def
cons
nil
cons
cons
nil
cons
cons
2470
def
76
ref
subst
2470
remove
107
ref
subst
2465
remove
2460
ref
76
ref
subst
2460
remove
107
ref
subst
nil
218
ref
2440
ref
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
77
ref
518
ref
204
ref
nil
2177
remove
168
ref
nil
cons
2471
def
cons
nil
cons
nil
cons
cons
2179
ref
2180
ref
2181
ref
2182
ref
appTerm
2183
remove
appTerm
2472
def
absTerm
2473
def
2182
remove
appTerm
2474
def
betaConv
1431
ref
2180
remove
2472
remove
assume
sym
2184
remove
assume
sym
deductAntisym
absThm
appThm
2188
remove
eqMp
nil
25
ref
1430
ref
2473
ref
appTerm
nil
cons
cons
43
ref
2474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
2473
remove
nil
cons
cons
2189
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
2475
def
appThm
appThm
appThm
238
ref
35
ref
419
ref
171
ref
appTerm
absTerm
2476
def
appTerm
refl
appThm
sym
nil
175
ref
2471
remove
cons
nil
cons
nil
cons
cons
2477
def
175
ref
52
ref
419
ref
166
ref
2191
remove
appTerm
2478
def
appTerm
appTerm
238
ref
35
ref
419
ref
241
ref
appTerm
absTerm
2479
def
appTerm
appTerm
absTerm
2480
def
177
ref
appTerm
2481
def
betaConv
nil
354
ref
2480
ref
appTerm
2482
def
axiom
nil
25
ref
2482
remove
nil
cons
cons
43
ref
2481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
2480
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2483
def
subst
eqMp
2484
def
subst
2485
def
subst
267
ref
refl
2486
def
38
ref
518
ref
2440
remove
39
ref
appTerm
betaConv
appThm
nil
1871
ref
2439
ref
nil
cons
cons
nil
cons
nil
cons
cons
2370
ref
2484
ref
subst
2487
def
subst
1923
ref
refl
2488
def
1301
ref
518
ref
2439
remove
1308
ref
appTerm
betaConv
appThm
nil
25
ref
2433
remove
nil
cons
cons
43
ref
2438
ref
nil
cons
2489
def
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
54
ref
15
ref
appTerm
2490
def
nil
cons
2491
def
cons
2492
def
43
ref
52
ref
419
ref
56
ref
appTerm
appTerm
456
ref
67
ref
419
ref
55
ref
appTerm
2493
def
appTerm
2494
def
appTerm
66
ref
2443
ref
appTerm
2495
def
55
ref
appTerm
appTerm
appTerm
nil
cons
2496
def
cons
nil
cons
2497
def
cons
nil
cons
cons
2498
def
76
ref
subst
2498
remove
107
ref
subst
52
ref
"_554"
3
ref
var
2499
def
52
ref
419
ref
52
ref
2499
remove
varTerm
2500
def
appTerm
55
ref
appTerm
appTerm
appTerm
456
ref
66
ref
2500
ref
appTerm
2493
ref
appTerm
appTerm
66
ref
419
ref
2500
remove
appTerm
appTerm
55
ref
appTerm
appTerm
appTerm
absTerm
2501
def
53
ref
appTerm
2502
def
appTerm
refl
2503
def
2501
ref
15
ref
appTerm
betaConv
appThm
77
ref
2502
remove
betaConv
appThm
2504
def
52
ref
419
ref
533
ref
55
ref
appTerm
2505
def
appTerm
appTerm
456
ref
1464
ref
2493
ref
appTerm
2506
def
appTerm
66
ref
537
ref
appTerm
2507
def
55
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2501
remove
refl
2508
def
2490
remove
assume
2509
def
appThm
eqMp
sym
77
ref
518
ref
104
ref
96
ref
52
ref
533
ref
99
ref
appTerm
appTerm
513
ref
appTerm
absTerm
2510
def
99
ref
appTerm
2511
def
betaConv
nil
159
ref
2510
ref
appTerm
2512
def
axiom
nil
25
ref
2512
remove
nil
cons
cons
43
ref
2511
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2510
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2513
def
subst
2514
def
appThm
104
ref
2448
ref
subst
trans
appThm
1255
ref
nil
96
ref
2493
ref
nil
cons
2515
def
cons
nil
cons
nil
cons
cons
2516
def
1468
ref
subst
2517
def
appThm
153
ref
539
ref
appThm
2518
def
58
ref
appThm
104
ref
186
ref
subst
2519
def
trans
appThm
104
ref
567
ref
subst
2520
def
trans
appThm
nil
335
ref
nil
cons
cons
2450
ref
subst
2521
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2491
ref
cons
2522
def
110
ref
2496
ref
cons
nil
cons
2523
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
54
remove
14
ref
appTerm
2524
def
nil
cons
2525
def
cons
2526
def
2497
remove
cons
nil
cons
cons
2527
def
76
ref
subst
2527
remove
107
ref
subst
2503
remove
"_552"
3
ref
var
2528
def
52
ref
419
ref
52
ref
2528
remove
varTerm
2529
def
appTerm
55
ref
appTerm
appTerm
appTerm
456
ref
66
ref
2529
ref
appTerm
2493
ref
appTerm
appTerm
66
ref
419
ref
2529
remove
appTerm
appTerm
55
ref
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
2504
remove
52
ref
419
ref
1095
ref
55
ref
appTerm
2530
def
appTerm
appTerm
456
ref
155
ref
2493
ref
appTerm
2531
def
appTerm
66
ref
585
ref
appTerm
2532
def
55
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2508
remove
2524
remove
assume
2533
def
appThm
eqMp
sym
77
ref
518
ref
104
ref
1099
ref
subst
2534
def
appThm
appThm
1255
ref
2516
ref
186
ref
subst
2535
def
appThm
153
ref
590
ref
appThm
2536
def
58
ref
appThm
104
ref
1468
ref
subst
2537
def
trans
appThm
2516
ref
1565
ref
subst
trans
appThm
nil
20
ref
2515
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
2538
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2525
remove
cons
2539
def
2523
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
ref
53
ref
appTerm
2540
def
betaConv
607
ref
nil
608
ref
43
ref
2540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
ref
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2541
def
nil
2539
ref
110
ref
2491
remove
cons
2542
def
612
ref
2496
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
2543
def
subst
1255
ref
153
ref
nil
378
ref
43
ref
1331
ref
cons
nil
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
52
ref
419
ref
456
ref
53
ref
appTerm
2544
def
55
ref
appTerm
2545
def
appTerm
appTerm
2495
remove
2493
ref
appTerm
appTerm
nil
cons
2546
def
cons
nil
cons
2547
def
cons
nil
cons
cons
2548
def
76
ref
subst
2548
remove
107
ref
subst
52
ref
"_538"
3
ref
var
2549
def
52
ref
419
ref
456
ref
2549
remove
varTerm
2550
def
appTerm
55
ref
appTerm
appTerm
appTerm
66
ref
419
ref
2550
remove
appTerm
appTerm
2493
ref
appTerm
appTerm
absTerm
2551
def
53
ref
appTerm
2552
def
appTerm
refl
2553
def
2551
ref
15
ref
appTerm
betaConv
appThm
77
ref
2552
remove
betaConv
appThm
2554
def
52
ref
419
ref
559
ref
55
ref
appTerm
appTerm
appTerm
2507
ref
2493
ref
appTerm
appTerm
refl
appThm
trans
2551
remove
refl
2555
def
2509
ref
appThm
eqMp
sym
77
ref
518
ref
2520
ref
appThm
appThm
2518
ref
2493
ref
refl
2556
def
appThm
2535
ref
trans
appThm
2538
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
2546
ref
cons
nil
cons
2557
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
2547
remove
cons
nil
cons
cons
2558
def
76
ref
subst
2558
remove
107
ref
subst
2553
remove
"_536"
3
ref
var
2559
def
52
ref
419
ref
456
ref
2559
remove
varTerm
2560
def
appTerm
55
ref
appTerm
appTerm
appTerm
66
ref
419
ref
2560
remove
appTerm
appTerm
2493
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
2554
remove
52
ref
419
ref
587
ref
55
ref
appTerm
appTerm
appTerm
2532
ref
2493
ref
appTerm
appTerm
refl
appThm
trans
2555
remove
2533
ref
appThm
eqMp
sym
77
ref
518
ref
104
ref
595
ref
subst
2561
def
appThm
590
ref
trans
appThm
2536
ref
2556
ref
appThm
2517
ref
trans
appThm
1271
ref
2513
ref
subst
539
ref
trans
2562
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
2557
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
2546
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
2563
def
subst
2429
ref
nil
2376
ref
1343
remove
cons
nil
cons
cons
2563
ref
subst
153
ref
2432
ref
appThm
1882
remove
nil
2492
ref
43
ref
52
ref
419
ref
68
ref
appTerm
appTerm
2564
def
456
ref
2443
ref
appTerm
2565
def
2493
ref
appTerm
appTerm
nil
cons
2566
def
cons
nil
cons
2567
def
cons
nil
cons
cons
2568
def
76
ref
subst
2568
remove
107
ref
subst
52
ref
"_534"
3
ref
var
2569
def
52
ref
419
ref
66
ref
2569
remove
varTerm
2570
def
appTerm
55
ref
appTerm
appTerm
appTerm
456
ref
419
ref
2570
remove
appTerm
appTerm
2493
ref
appTerm
appTerm
absTerm
2571
def
53
ref
appTerm
2572
def
appTerm
refl
2573
def
2571
ref
15
ref
appTerm
betaConv
appThm
77
ref
2572
remove
betaConv
appThm
2574
def
52
ref
419
ref
1464
ref
55
ref
appTerm
2575
def
appTerm
appTerm
2576
def
456
ref
537
ref
appTerm
2577
def
2493
ref
appTerm
appTerm
refl
appThm
trans
2571
remove
refl
2578
def
2509
ref
appThm
eqMp
sym
77
ref
518
ref
2537
ref
appThm
539
ref
trans
appThm
2579
def
1255
ref
539
ref
appThm
2580
def
2556
ref
appThm
2516
ref
595
ref
subst
2581
def
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
2566
ref
cons
nil
cons
2582
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
2567
remove
cons
nil
cons
cons
2583
def
76
ref
subst
2583
remove
107
ref
subst
2573
remove
"_532"
3
ref
var
2584
def
52
ref
419
ref
66
ref
2584
remove
varTerm
2585
def
appTerm
55
ref
appTerm
appTerm
appTerm
456
ref
419
ref
2585
remove
appTerm
appTerm
2493
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
2574
remove
52
ref
419
ref
155
ref
55
ref
appTerm
2586
def
appTerm
appTerm
2587
def
456
ref
585
ref
appTerm
2588
def
2493
ref
appTerm
appTerm
refl
appThm
trans
2578
remove
2533
ref
appThm
eqMp
sym
77
ref
518
ref
2519
ref
appThm
appThm
2589
def
1255
ref
590
ref
appThm
2590
def
2556
remove
appThm
2516
ref
567
ref
subst
2591
def
trans
appThm
2538
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
2582
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
2566
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
2592
def
subst
appThm
trans
appThm
trans
appThm
nil
25
ref
2435
remove
nil
cons
2593
def
cons
2594
def
43
ref
2437
remove
nil
cons
2595
def
cons
nil
cons
cons
nil
cons
cons
2563
ref
subst
153
ref
nil
1306
remove
43
ref
2434
ref
nil
cons
2596
def
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
nil
378
ref
nil
cons
nil
cons
cons
2449
ref
subst
appThm
nil
25
ref
1879
ref
cons
2597
def
nil
cons
2598
def
nil
cons
cons
2599
def
2449
ref
subst
appThm
trans
appThm
nil
25
ref
773
ref
nil
cons
2600
def
cons
2601
def
43
ref
1333
remove
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
1061
ref
2448
ref
subst
2602
def
appThm
nil
2376
ref
nil
cons
nil
cons
cons
2449
ref
subst
appThm
trans
appThm
trans
appThm
appThm
153
ref
nil
25
ref
1325
ref
nil
cons
2603
def
cons
nil
cons
nil
cons
cons
2449
remove
subst
appThm
1255
ref
2429
remove
2434
ref
refl
appThm
appThm
153
ref
773
ref
refl
2604
def
appThm
2432
remove
appThm
appThm
appThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
2453
remove
assume
eqMp
nil
25
ref
267
ref
38
ref
1923
ref
1301
ref
456
ref
66
ref
2420
remove
66
ref
1332
remove
appTerm
456
ref
773
ref
appTerm
2605
def
2434
ref
appTerm
2606
def
appTerm
2607
def
appTerm
2608
def
appTerm
66
ref
1312
remove
1322
ref
appTerm
2609
def
appTerm
456
ref
44
ref
appTerm
2610
def
1319
remove
appTerm
2611
def
appTerm
2612
def
appTerm
2613
def
appTerm
66
ref
1325
remove
appTerm
2438
remove
appTerm
2614
def
appTerm
2615
def
absTerm
2616
def
appTerm
2617
def
absTerm
2618
def
appTerm
2619
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
218
ref
38
ref
50
ref
2618
ref
39
ref
appTerm
2620
def
appTerm
15
ref
appTerm
2621
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2621
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2620
ref
nil
cons
2622
def
cons
510
ref
cons
nil
cons
cons
2623
def
76
ref
subst
2623
remove
107
ref
subst
2620
ref
betaConv
2620
remove
assume
eqMp
nil
25
ref
2617
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
1871
ref
1301
ref
50
ref
2616
ref
1308
ref
appTerm
2624
def
appTerm
15
ref
appTerm
2625
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2370
ref
252
ref
subst
2626
def
subst
1301
ref
nil
96
ref
2625
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2624
ref
nil
cons
2627
def
cons
510
ref
cons
nil
cons
cons
2628
def
76
ref
subst
2628
remove
107
ref
subst
2624
ref
betaConv
2624
remove
assume
eqMp
nil
25
ref
2615
remove
nil
cons
2629
def
cons
510
ref
cons
nil
cons
cons
2630
def
135
ref
subst
proveHyp
2630
ref
76
ref
subst
2630
remove
107
ref
subst
nil
25
ref
2614
remove
nil
cons
2631
def
cons
510
ref
cons
nil
cons
cons
2632
def
76
ref
subst
2632
remove
107
ref
subst
nil
25
ref
2595
ref
cons
510
ref
cons
nil
cons
cons
2633
def
76
ref
subst
2633
remove
107
ref
subst
nil
25
ref
1331
ref
cons
510
ref
cons
nil
cons
cons
2634
def
76
ref
subst
2635
def
2634
remove
107
ref
subst
2636
def
nil
1952
ref
510
ref
cons
nil
cons
cons
2637
def
76
ref
subst
2638
def
2637
remove
107
ref
subst
2639
def
1958
ref
nil
1111
ref
510
ref
cons
nil
cons
cons
2640
def
135
ref
subst
2641
def
proveHyp
nil
1736
ref
nil
cons
cons
52
ref
2443
ref
appTerm
refl
98
remove
517
ref
subst
appThm
nil
20
ref
2444
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
2642
def
subst
2643
def
nil
108
ref
2600
ref
cons
2644
def
2388
remove
nil
cons
cons
nil
cons
cons
2645
def
122
ref
subst
2646
def
eqMp
eqMp
eqMp
nil
2368
ref
540
ref
cons
nil
cons
cons
122
ref
subst
2647
def
deductAntisym
eqMp
nil
2376
remove
510
ref
cons
nil
cons
cons
2648
def
76
ref
subst
2649
def
2648
remove
107
ref
subst
2650
def
2383
remove
nil
25
ref
1316
ref
1318
ref
appTerm
1318
ref
appTerm
2651
def
nil
cons
cons
2652
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
2653
def
nil
2652
remove
nil
cons
nil
cons
cons
2642
ref
subst
2654
def
52
ref
"_12324"
1293
ref
var
2655
def
419
ref
1316
ref
2655
remove
varTerm
appTerm
1318
ref
appTerm
appTerm
absTerm
2656
def
1308
ref
appTerm
2657
def
appTerm
refl
2656
ref
1318
ref
appTerm
betaConv
appThm
77
ref
2657
remove
betaConv
appThm
419
ref
2651
remove
appTerm
refl
appThm
trans
2656
remove
refl
2378
ref
appThm
eqMp
2658
def
2645
remove
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1339
ref
540
ref
cons
nil
cons
cons
122
ref
subst
2659
def
deductAntisym
eqMp
nil
1339
remove
1924
remove
612
ref
509
ref
cons
nil
cons
2660
def
cons
cons
nil
cons
cons
626
ref
subst
2661
def
proveHyp
proveHyp
eqMp
nil
108
ref
1331
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
2662
def
deductAntisym
eqMp
nil
378
ref
510
ref
cons
nil
cons
cons
2663
def
76
ref
subst
2664
def
2663
remove
107
ref
subst
2665
def
nil
2462
ref
510
ref
cons
nil
cons
cons
135
ref
subst
2666
def
nil
2462
remove
nil
cons
nil
cons
cons
2642
ref
subst
2667
def
52
ref
"_12312"
28
ref
var
2668
def
419
ref
30
ref
2668
remove
varTerm
appTerm
appTerm
absTerm
2669
def
39
ref
appTerm
2670
def
appTerm
refl
2669
ref
193
ref
appTerm
betaConv
appThm
77
ref
2670
remove
betaConv
appThm
419
ref
383
remove
appTerm
refl
appThm
trans
2669
remove
refl
381
ref
appThm
eqMp
2671
def
2646
remove
eqMp
eqMp
eqMp
eqMp
nil
388
ref
540
ref
cons
nil
cons
cons
122
ref
subst
2672
def
deductAntisym
eqMp
nil
108
ref
2603
remove
cons
110
ref
2489
remove
cons
nil
cons
cons
nil
cons
cons
2673
def
122
ref
subst
nil
388
ref
110
ref
1331
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
2674
def
proveHyp
proveHyp
eqMp
nil
108
ref
2595
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2594
remove
510
ref
cons
nil
cons
cons
2675
def
76
ref
subst
2675
remove
107
ref
subst
2635
remove
2636
remove
2638
remove
2639
remove
1959
ref
nil
2597
ref
510
ref
cons
nil
cons
cons
2676
def
135
ref
subst
proveHyp
2599
remove
2642
ref
subst
2677
def
nil
2389
ref
110
ref
2596
ref
cons
2678
def
nil
cons
cons
nil
cons
cons
2679
def
139
ref
subst
2680
def
eqMp
eqMp
eqMp
2647
remove
deductAntisym
eqMp
2649
ref
2650
ref
2461
ref
nil
2459
remove
nil
cons
nil
cons
cons
2642
ref
subst
2681
def
52
ref
"_12304"
1293
ref
var
2682
def
419
ref
1321
ref
2682
remove
varTerm
appTerm
appTerm
absTerm
2683
def
1308
ref
appTerm
2684
def
appTerm
refl
2683
ref
1318
ref
appTerm
betaConv
appThm
77
ref
2684
remove
betaConv
appThm
2466
remove
refl
appThm
trans
2683
remove
refl
2378
remove
appThm
eqMp
2685
def
2680
remove
eqMp
eqMp
eqMp
eqMp
2659
ref
deductAntisym
eqMp
2661
remove
proveHyp
proveHyp
eqMp
2662
remove
deductAntisym
eqMp
2664
ref
2665
ref
2398
remove
nil
25
ref
188
ref
193
ref
appTerm
193
ref
appTerm
2686
def
nil
cons
cons
2687
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
2688
def
nil
2687
remove
nil
cons
nil
cons
cons
2642
ref
subst
2689
def
52
ref
"_12292"
28
ref
var
2690
def
419
ref
188
ref
2690
remove
varTerm
appTerm
193
ref
appTerm
appTerm
absTerm
2691
def
39
ref
appTerm
2692
def
appTerm
refl
2691
ref
193
ref
appTerm
betaConv
appThm
77
ref
2692
remove
betaConv
appThm
419
ref
2686
ref
appTerm
refl
appThm
trans
2691
remove
refl
381
ref
appThm
eqMp
2693
def
2679
remove
122
ref
subst
eqMp
eqMp
eqMp
eqMp
2672
ref
deductAntisym
eqMp
2674
remove
proveHyp
proveHyp
eqMp
nil
108
ref
2593
remove
cons
2694
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2673
remove
139
ref
subst
nil
2694
remove
110
ref
2595
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2631
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
2613
remove
nil
cons
2695
def
cons
510
ref
cons
nil
cons
cons
2696
def
76
ref
subst
2696
remove
107
ref
subst
nil
25
ref
2596
ref
cons
510
ref
cons
nil
cons
cons
2697
def
76
ref
subst
2697
remove
107
ref
subst
2649
ref
2650
ref
2676
ref
76
ref
subst
2698
def
2676
remove
107
ref
subst
2699
def
2385
remove
2362
remove
eqMp
2461
ref
proveHyp
2681
remove
2685
remove
2434
ref
assume
2700
def
eqMp
eqMp
2701
def
eqMp
eqMp
nil
108
ref
1879
ref
cons
2702
def
540
ref
cons
nil
cons
cons
122
ref
subst
2703
def
deductAntisym
eqMp
2664
ref
2665
ref
2461
remove
2701
remove
eqMp
eqMp
2672
ref
deductAntisym
eqMp
nil
108
ref
2608
remove
nil
cons
cons
110
ref
2612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2704
def
139
ref
subst
2705
def
nil
108
ref
2609
remove
nil
cons
cons
110
ref
2611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2706
def
122
ref
subst
proveHyp
nil
388
ref
1956
remove
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
2707
def
proveHyp
proveHyp
eqMp
2659
ref
deductAntisym
eqMp
2640
ref
76
ref
subst
2708
def
2640
remove
107
ref
subst
2709
def
2677
remove
2700
remove
eqMp
2664
ref
2665
ref
2688
remove
2689
remove
2693
remove
2704
remove
122
ref
subst
2710
def
nil
2389
remove
110
ref
2607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2711
def
122
ref
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
2672
ref
deductAntisym
eqMp
2707
ref
proveHyp
proveHyp
eqMp
nil
1057
ref
540
ref
cons
nil
cons
cons
122
ref
subst
2712
def
deductAntisym
eqMp
2705
remove
2706
remove
139
ref
subst
proveHyp
nil
1057
ref
110
ref
1338
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
2713
def
proveHyp
proveHyp
eqMp
nil
108
ref
2596
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2601
ref
510
ref
cons
nil
cons
cons
2714
def
76
ref
subst
2714
ref
107
ref
subst
2649
remove
2650
remove
2698
ref
2699
ref
2653
remove
2654
remove
2658
remove
2710
remove
2711
remove
139
ref
subst
proveHyp
2715
def
nil
2374
remove
110
ref
2606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2716
def
122
ref
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
2703
ref
deductAntisym
eqMp
2664
ref
2665
ref
2666
ref
2667
remove
2671
remove
773
ref
assume
2717
def
eqMp
eqMp
2718
def
eqMp
eqMp
2672
ref
deductAntisym
eqMp
2707
ref
proveHyp
proveHyp
eqMp
2659
remove
deductAntisym
eqMp
2708
remove
2709
remove
2698
remove
2699
remove
2641
remove
2643
remove
2717
remove
eqMp
eqMp
eqMp
2703
remove
deductAntisym
eqMp
2664
remove
2665
remove
382
remove
1062
remove
eqMp
2666
remove
proveHyp
2718
remove
eqMp
eqMp
2672
remove
deductAntisym
eqMp
2707
remove
proveHyp
proveHyp
eqMp
2712
remove
deductAntisym
eqMp
2713
remove
proveHyp
proveHyp
eqMp
nil
2644
ref
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2715
remove
2716
remove
139
ref
subst
proveHyp
nil
2644
ref
2678
remove
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2695
remove
cons
2719
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2719
remove
110
ref
2631
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
2629
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
2627
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
1858
ref
1872
ref
50
ref
2616
ref
1872
ref
varTerm
2720
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
2617
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
2616
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
2622
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
2618
ref
734
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
2619
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2618
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
2458
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
384
remove
cons
110
ref
2469
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
2454
remove
cons
2721
def
110
ref
2467
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2721
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2722
def
nil
25
ref
200
ref
2426
ref
appTerm
2723
def
nil
cons
cons
43
ref
2427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2426
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2425
remove
nil
cons
cons
43
ref
2424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
2423
remove
nil
cons
cons
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
1255
ref
153
ref
518
ref
2406
remove
appThm
539
ref
trans
appThm
2421
ref
1297
remove
appTerm
2724
def
refl
2725
def
appThm
nil
96
ref
2724
ref
nil
cons
2726
def
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
66
ref
771
ref
1264
ref
appTerm
2727
def
appTerm
refl
518
ref
2407
remove
appThm
539
ref
trans
appThm
nil
96
ref
2727
ref
nil
cons
2728
def
cons
nil
cons
nil
cons
cons
2729
def
936
ref
subst
trans
appThm
trans
trans
appThm
456
ref
2727
ref
appTerm
2724
ref
appTerm
2730
def
refl
2731
def
appThm
sym
nil
25
ref
52
ref
456
ref
2724
ref
appTerm
2727
ref
appTerm
2732
def
appTerm
2730
ref
appTerm
2733
def
nil
cons
cons
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
2733
remove
appTerm
2734
def
nil
cons
2735
def
cons
510
ref
cons
nil
cons
cons
2736
def
76
ref
subst
2736
remove
107
ref
subst
nil
25
ref
66
ref
66
ref
419
ref
2724
remove
appTerm
2737
def
appTerm
419
ref
2727
ref
appTerm
2738
def
appTerm
2739
def
appTerm
2730
ref
appTerm
nil
cons
2740
def
cons
510
ref
cons
nil
cons
cons
2741
def
76
ref
subst
2741
remove
107
ref
subst
nil
25
ref
2726
ref
cons
2742
def
nil
cons
nil
cons
cons
2642
ref
subst
2743
def
nil
108
ref
2739
remove
nil
cons
cons
110
ref
2730
ref
nil
cons
2744
def
cons
nil
cons
cons
nil
cons
cons
2745
def
122
ref
subst
2746
def
nil
108
ref
2737
ref
nil
cons
2747
def
cons
110
ref
2738
ref
nil
cons
2748
def
cons
nil
cons
cons
nil
cons
cons
2749
def
122
ref
subst
proveHyp
eqMp
nil
25
ref
2728
ref
cons
2750
def
nil
cons
nil
cons
cons
2642
ref
subst
2751
def
2746
remove
2749
remove
139
ref
subst
proveHyp
eqMp
2745
remove
139
ref
subst
nil
108
ref
2728
ref
cons
110
ref
2726
ref
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2740
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
66
ref
2732
ref
appTerm
66
ref
2738
remove
appTerm
2737
remove
appTerm
2752
def
appTerm
nil
cons
2753
def
cons
510
ref
cons
nil
cons
cons
2754
def
76
ref
subst
2754
remove
107
ref
subst
2751
remove
nil
108
ref
2732
remove
nil
cons
2755
def
cons
110
ref
2752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2756
def
139
ref
subst
2757
def
nil
108
ref
2748
remove
cons
110
ref
2747
remove
cons
nil
cons
cons
nil
cons
cons
2758
def
122
ref
subst
proveHyp
eqMp
2743
remove
2757
remove
2758
remove
139
ref
subst
proveHyp
eqMp
2756
remove
122
ref
subst
nil
108
ref
2726
ref
cons
110
ref
2728
ref
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2753
remove
cons
2759
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
2755
remove
cons
43
ref
2744
remove
cons
nil
cons
cons
nil
cons
cons
2543
ref
subst
1255
ref
153
ref
1255
ref
2725
remove
appThm
771
ref
refl
1264
ref
refl
appThm
appThm
appThm
nil
2750
remove
43
ref
2726
remove
cons
nil
cons
cons
nil
cons
cons
2563
ref
subst
appThm
appThm
153
ref
nil
2742
remove
43
ref
2728
remove
cons
nil
cons
cons
nil
cons
cons
2563
ref
subst
appThm
2731
remove
appThm
appThm
trans
2734
remove
assume
eqMp
nil
2759
remove
110
ref
2740
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
2735
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2760
def
subst
2729
remove
96
ref
52
ref
682
remove
99
ref
appTerm
appTerm
99
ref
appTerm
absTerm
2761
def
99
ref
appTerm
2762
def
betaConv
nil
159
ref
2761
ref
appTerm
2763
def
axiom
nil
25
ref
2763
remove
nil
cons
cons
43
ref
2762
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2761
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2764
def
subst
trans
nil
52
ref
770
remove
2417
remove
constTerm
2418
remove
appTerm
appTerm
2727
remove
appTerm
thm
204
ref
1835
ref
nil
38
ref
2399
remove
cons
1846
ref
cons
nil
cons
cons
756
ref
subst
386
ref
trans
2765
def
absThm
appThm
2365
ref
trans
sym
94
ref
eqMp
nil
166
ref
1835
ref
30
ref
2090
remove
193
ref
appTerm
appTerm
absTerm
appTerm
thm
2411
remove
nil
52
ref
1286
remove
1291
ref
appTerm
appTerm
2409
remove
appTerm
thm
2760
remove
nil
52
ref
2419
remove
1291
remove
appTerm
appTerm
2730
remove
appTerm
thm
205
ref
38
ref
51
ref
777
ref
appThm
1304
ref
refl
appThm
nil
"t2"
3
ref
var
2766
def
377
ref
cons
"t1"
3
ref
var
2767
def
45
ref
cons
nil
cons
cons
nil
cons
cons
2766
ref
52
ref
50
ref
419
ref
2767
ref
varTerm
2768
def
appTerm
appTerm
419
ref
2766
ref
varTerm
2769
def
appTerm
2770
def
appTerm
2771
def
appTerm
50
ref
2769
ref
appTerm
2768
ref
appTerm
2772
def
appTerm
2773
def
absTerm
2774
def
2769
ref
appTerm
2775
def
betaConv
2767
ref
159
ref
2774
ref
appTerm
2776
def
absTerm
2777
def
2768
ref
appTerm
2778
def
betaConv
nil
159
ref
2777
ref
appTerm
2779
def
axiom
2780
def
nil
25
ref
2779
remove
nil
cons
cons
43
ref
2778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2777
remove
nil
cons
cons
20
ref
2768
ref
nil
cons
cons
nil
cons
2781
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2776
remove
nil
cons
cons
43
ref
2775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2774
remove
nil
cons
cons
20
ref
2769
ref
nil
cons
cons
nil
cons
2782
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2783
def
subst
trans
absThm
appThm
sym
390
remove
eqMp
nil
200
ref
38
ref
50
ref
772
ref
appTerm
2784
def
1304
remove
appTerm
absTerm
appTerm
thm
nil
218
ref
38
ref
166
ref
35
ref
673
ref
30
ref
639
ref
appTerm
2785
def
appTerm
2786
def
absTerm
2787
def
appTerm
2788
def
absTerm
2789
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2788
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
2787
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2786
remove
nil
cons
2790
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1111
ref
43
ref
2785
ref
nil
cons
2791
def
cons
nil
cons
2792
def
cons
nil
cons
cons
2793
def
76
ref
subst
2793
remove
107
ref
subst
141
ref
144
ref
659
remove
appTerm
absTerm
2794
def
39
ref
appTerm
betaConv
sym
1064
ref
nil
96
ref
658
remove
39
ref
appTerm
2795
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
38
ref
2795
remove
absTerm
2796
def
39
ref
appTerm
2797
def
betaConv
35
ref
200
ref
2796
ref
appTerm
2798
def
absTerm
2799
def
36
ref
appTerm
2800
def
betaConv
nil
166
ref
2799
ref
appTerm
2801
def
axiom
nil
25
ref
2801
remove
nil
cons
cons
43
ref
2800
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2799
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2798
remove
nil
cons
cons
43
ref
2797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2796
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
2794
ref
nil
cons
cons
221
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
2794
remove
appTerm
nil
cons
cons
2792
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
38
ref
639
ref
nil
cons
cons
nil
cons
nil
cons
cons
2802
def
755
ref
subst
eqMp
eqMp
nil
1057
ref
110
ref
2791
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2803
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2789
remove
appTerm
thm
nil
218
ref
38
ref
166
ref
35
ref
52
ref
2785
ref
appTerm
44
ref
appTerm
2804
def
absTerm
2805
def
appTerm
2806
def
absTerm
2807
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2806
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
2805
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2804
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2791
ref
cons
46
ref
cons
nil
cons
cons
2808
def
140
ref
subst
nil
1067
ref
43
ref
50
ref
2785
ref
appTerm
44
ref
appTerm
2809
def
nil
cons
2810
def
cons
nil
cons
2811
def
cons
nil
cons
cons
2812
def
76
ref
subst
2812
remove
107
ref
subst
38
ref
52
ref
188
ref
639
remove
appTerm
39
ref
appTerm
2813
def
appTerm
2814
def
1027
ref
appTerm
2815
def
absTerm
2816
def
39
ref
appTerm
2817
def
betaConv
35
ref
200
ref
2816
ref
appTerm
2818
def
absTerm
2819
def
36
ref
appTerm
2820
def
betaConv
nil
166
ref
2819
ref
appTerm
2821
def
axiom
nil
25
ref
2821
remove
nil
cons
cons
43
ref
2820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
2819
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2818
remove
nil
cons
cons
43
ref
2817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2816
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2815
remove
nil
cons
cons
2811
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
2814
remove
refl
1076
remove
appThm
nil
96
ref
2813
ref
nil
cons
2822
def
cons
nil
cons
nil
cons
cons
96
ref
52
ref
101
remove
appTerm
99
ref
appTerm
absTerm
2823
def
99
ref
appTerm
2824
def
betaConv
nil
159
ref
2823
ref
appTerm
2825
def
axiom
nil
25
ref
2825
remove
nil
cons
cons
43
ref
2824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
2823
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2826
def
subst
trans
appThm
2809
remove
refl
appThm
sym
nil
25
ref
2822
ref
cons
2811
ref
cons
nil
cons
cons
2827
def
76
ref
subst
2827
remove
107
ref
subst
51
ref
380
ref
2813
remove
assume
appThm
appThm
374
ref
appThm
1061
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
2822
remove
cons
110
ref
2810
ref
cons
nil
cons
2828
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1079
ref
2828
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1081
ref
2811
remove
cons
nil
cons
cons
2829
def
76
ref
subst
2829
remove
107
ref
subst
2808
ref
76
ref
subst
2808
remove
107
ref
subst
642
remove
39
ref
appTerm
2830
def
betaConv
648
remove
nil
649
remove
43
ref
2830
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
650
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
641
remove
nil
cons
cons
46
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
1092
ref
appThm
2831
def
640
ref
refl
appThm
nil
96
ref
640
ref
nil
cons
2832
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
374
ref
appThm
sym
nil
25
ref
2832
ref
cons
46
ref
cons
nil
cons
cons
2833
def
76
ref
subst
2833
remove
107
ref
subst
380
ref
640
remove
assume
sym
appThm
sym
2802
remove
756
ref
subst
nil
96
ref
2791
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
2785
remove
assume
eqMp
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2832
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
2791
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
1074
ref
2828
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
1103
ref
nil
1074
ref
1104
ref
612
ref
2810
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
nil
25
ref
2810
remove
cons
43
ref
2790
remove
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
2803
remove
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2807
remove
appTerm
thm
nil
218
ref
38
ref
166
ref
35
ref
52
ref
41
remove
appTerm
44
ref
appTerm
2834
def
absTerm
2835
def
appTerm
2836
def
absTerm
2837
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2836
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
2835
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
2834
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
756
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2837
remove
appTerm
thm
nil
218
ref
38
ref
200
ref
141
ref
673
ref
30
ref
"Set.difference"
const
191
ref
constTerm
39
ref
appTerm
142
ref
appTerm
2838
def
appTerm
2839
def
appTerm
2840
def
absTerm
2841
def
appTerm
2842
def
absTerm
2843
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2842
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2841
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
2840
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1111
ref
43
ref
2839
ref
nil
cons
2844
def
cons
nil
cons
2845
def
cons
nil
cons
cons
2846
def
76
ref
subst
2846
remove
107
ref
subst
1723
ref
1725
ref
148
ref
2838
ref
appTerm
2847
def
1724
ref
appTerm
appTerm
absTerm
2848
def
39
ref
appTerm
betaConv
sym
1064
ref
nil
96
ref
2847
ref
39
ref
appTerm
2849
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
141
ref
2849
remove
absTerm
2850
def
142
ref
appTerm
2851
def
betaConv
38
ref
200
ref
2850
ref
appTerm
2852
def
absTerm
2853
def
39
ref
appTerm
2854
def
betaConv
nil
200
ref
2853
ref
appTerm
2855
def
axiom
nil
25
ref
2855
remove
nil
cons
cons
43
ref
2854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2853
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2852
remove
nil
cons
cons
43
ref
2851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2850
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
2848
ref
nil
cons
cons
221
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
2848
remove
appTerm
nil
cons
cons
2845
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
38
ref
2838
ref
nil
cons
2856
def
cons
nil
cons
nil
cons
cons
2857
def
755
ref
subst
eqMp
eqMp
nil
1057
ref
110
ref
2844
ref
cons
nil
cons
2858
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2843
remove
appTerm
thm
1261
remove
nil
1262
remove
thm
1790
ref
nil
1791
ref
thm
710
remove
nil
713
remove
thm
nil
218
ref
38
ref
200
ref
141
ref
50
ref
2422
ref
150
ref
appTerm
appTerm
771
ref
142
ref
appTerm
appTerm
2859
def
absTerm
2860
def
appTerm
2861
def
absTerm
2862
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2861
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2860
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
2859
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
51
ref
2431
ref
150
ref
refl
2863
def
appThm
appThm
1729
ref
777
ref
subst
appThm
sym
nil
25
ref
2436
ref
150
ref
appTerm
nil
cons
2864
def
cons
43
ref
419
ref
143
ref
appTerm
2865
def
nil
cons
2866
def
cons
nil
cons
cons
nil
cons
cons
2867
def
76
ref
subst
2867
remove
107
ref
subst
nil
2644
ref
110
ref
308
ref
cons
nil
cons
2868
def
cons
nil
cons
cons
2869
def
122
ref
subst
2869
remove
139
ref
subst
nil
1777
ref
nil
cons
nil
cons
cons
507
ref
subst
nil
310
ref
510
ref
cons
nil
cons
cons
2870
def
76
ref
subst
2870
remove
107
ref
subst
2714
remove
135
ref
subst
nil
96
ref
2600
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
2602
ref
trans
sym
727
remove
sym
153
ref
1745
ref
102
ref
subst
143
ref
assume
eqMp
appThm
2871
def
nil
96
ref
308
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
150
ref
assume
eqMp
2872
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
236
ref
234
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
272
ref
proveHyp
755
ref
eqMp
eqMp
eqMp
eqMp
nil
1777
ref
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
2864
remove
cons
110
ref
2866
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2862
remove
appTerm
thm
1193
remove
nil
1175
remove
thm
832
ref
909
ref
1194
remove
absThm
appThm
845
remove
trans
sym
94
ref
eqMp
nil
811
ref
909
ref
780
remove
1131
remove
1132
remove
790
ref
913
ref
1133
remove
947
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
thm
nil
218
ref
38
ref
200
ref
141
ref
52
ref
1707
remove
appTerm
1710
remove
appTerm
2873
def
absTerm
2874
def
appTerm
2875
def
absTerm
2876
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2875
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2874
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
2873
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
1782
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2876
remove
appTerm
thm
1780
remove
nil
1781
remove
thm
nil
218
ref
38
ref
200
ref
141
ref
50
ref
2422
ref
143
ref
appTerm
appTerm
771
ref
2838
ref
appTerm
appTerm
2877
def
absTerm
2878
def
appTerm
2879
def
absTerm
2880
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2879
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2878
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
2877
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
51
ref
2431
ref
656
ref
appThm
appThm
2857
ref
777
ref
subst
appThm
sym
nil
25
ref
144
ref
2839
ref
appTerm
2881
def
nil
cons
2882
def
cons
46
ref
cons
nil
cons
cons
2883
def
76
ref
subst
2883
remove
107
ref
subst
nil
1777
ref
2858
remove
cons
nil
cons
cons
2884
def
122
ref
subst
2884
remove
139
ref
subst
152
remove
224
remove
2838
remove
appTerm
2885
def
appTerm
betaConv
sym
153
ref
nil
141
ref
2856
ref
cons
432
remove
cons
nil
cons
cons
1782
ref
subst
2871
ref
nil
96
ref
2844
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
2839
ref
assume
eqMp
appThm
1044
ref
trans
trans
appThm
nil
400
ref
2856
remove
cons
nil
cons
nil
cons
cons
400
ref
52
ref
149
ref
1763
remove
appTerm
appTerm
2847
remove
401
ref
appTerm
appTerm
absTerm
2886
def
401
ref
appTerm
2887
def
betaConv
141
ref
200
ref
2886
ref
appTerm
2888
def
absTerm
2889
def
142
ref
appTerm
2890
def
betaConv
38
ref
200
ref
2889
ref
appTerm
2891
def
absTerm
2892
def
39
ref
appTerm
2893
def
betaConv
nil
200
ref
2892
ref
appTerm
2894
def
axiom
nil
25
ref
2894
remove
nil
cons
cons
43
ref
2893
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2892
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2891
remove
nil
cons
cons
43
ref
2890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2889
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2888
remove
nil
cons
cons
43
ref
2887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2886
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
2857
remove
nil
96
ref
149
ref
39
ref
appTerm
2895
def
nil
cons
2896
def
cons
nil
cons
nil
cons
cons
102
ref
subst
38
ref
2895
ref
absTerm
2897
def
39
ref
appTerm
2898
def
betaConv
nil
200
ref
2897
ref
appTerm
2899
def
axiom
2900
def
nil
25
ref
2899
ref
nil
cons
2901
def
cons
2902
def
43
ref
2898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
2897
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
2903
def
subst
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
236
remove
219
ref
2885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
272
remove
proveHyp
755
ref
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
2882
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
2881
remove
appTerm
44
ref
appTerm
nil
cons
cons
43
ref
50
ref
2436
ref
143
ref
appTerm
appTerm
419
ref
2839
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"c"
3
ref
var
2904
def
2844
remove
cons
"b"
3
ref
var
2905
def
309
ref
cons
"a"
3
ref
var
2906
def
45
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
25
ref
52
ref
2905
ref
varTerm
2907
def
appTerm
2908
def
15
ref
appTerm
2909
def
nil
cons
2910
def
cons
2911
def
43
ref
50
ref
50
ref
66
ref
2907
ref
appTerm
2904
ref
varTerm
2912
def
appTerm
2913
def
appTerm
2906
ref
varTerm
2914
def
appTerm
appTerm
50
ref
66
ref
419
ref
2914
ref
appTerm
2915
def
appTerm
2916
def
2907
ref
appTerm
appTerm
419
ref
2912
ref
appTerm
2917
def
appTerm
appTerm
nil
cons
2918
def
cons
nil
cons
2919
def
cons
nil
cons
cons
2920
def
76
ref
subst
2920
remove
107
ref
subst
52
ref
"_11052"
3
ref
var
2921
def
50
ref
50
ref
66
ref
2921
remove
varTerm
2922
def
appTerm
2912
ref
appTerm
appTerm
2914
ref
appTerm
appTerm
50
ref
2916
ref
2922
remove
appTerm
appTerm
2917
ref
appTerm
appTerm
absTerm
2923
def
2907
ref
appTerm
2924
def
appTerm
refl
2925
def
2923
ref
15
ref
appTerm
betaConv
appThm
77
ref
2924
remove
betaConv
appThm
2926
def
50
ref
50
ref
1464
ref
2912
ref
appTerm
appTerm
2914
ref
appTerm
appTerm
50
ref
2916
ref
15
ref
appTerm
appTerm
2917
ref
appTerm
appTerm
refl
appThm
trans
2923
remove
refl
2927
def
2909
remove
assume
2928
def
appThm
eqMp
sym
51
ref
51
ref
nil
96
ref
2912
ref
nil
cons
2929
def
cons
nil
cons
nil
cons
cons
2930
def
1468
ref
subst
appThm
2914
ref
refl
2931
def
appThm
nil
96
ref
2914
ref
nil
cons
2932
def
cons
nil
cons
nil
cons
cons
2933
def
600
ref
subst
2934
def
trans
appThm
51
ref
nil
96
ref
2915
ref
nil
cons
2935
def
cons
nil
cons
nil
cons
cons
2936
def
1473
ref
subst
appThm
2917
ref
refl
2937
def
appThm
nil
96
ref
2917
ref
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2910
ref
cons
2938
def
110
ref
2918
ref
cons
nil
cons
2939
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
2908
remove
14
ref
appTerm
2940
def
nil
cons
2941
def
cons
2942
def
2919
remove
cons
nil
cons
cons
2943
def
76
ref
subst
2943
remove
107
ref
subst
2925
remove
"_11050"
3
ref
var
2944
def
50
ref
50
ref
66
ref
2944
remove
varTerm
2945
def
appTerm
2912
ref
appTerm
appTerm
2914
ref
appTerm
appTerm
50
ref
2916
ref
2945
remove
appTerm
appTerm
2917
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
2926
remove
50
ref
50
ref
155
ref
2912
ref
appTerm
appTerm
2914
ref
appTerm
appTerm
50
ref
2916
ref
14
ref
appTerm
appTerm
2917
ref
appTerm
appTerm
refl
appThm
trans
2927
remove
2940
remove
assume
2946
def
appThm
eqMp
sym
51
ref
51
ref
2930
ref
186
ref
subst
appThm
2931
remove
appThm
appThm
51
ref
2936
ref
936
ref
subst
appThm
2937
remove
appThm
appThm
sym
nil
25
ref
52
ref
2912
ref
appTerm
2947
def
15
ref
appTerm
2948
def
nil
cons
2949
def
cons
2950
def
43
ref
50
ref
50
ref
2912
ref
appTerm
2951
def
2914
ref
appTerm
appTerm
50
ref
2915
ref
appTerm
2952
def
2917
ref
appTerm
appTerm
nil
cons
2953
def
cons
nil
cons
2954
def
cons
nil
cons
cons
2955
def
76
ref
subst
2955
remove
107
ref
subst
52
ref
"_11056"
3
ref
var
2956
def
50
ref
50
ref
2956
remove
varTerm
2957
def
appTerm
2914
ref
appTerm
appTerm
2952
ref
419
ref
2957
remove
appTerm
appTerm
appTerm
absTerm
2958
def
2912
ref
appTerm
2959
def
appTerm
refl
2960
def
2958
ref
15
ref
appTerm
betaConv
appThm
77
ref
2959
remove
betaConv
appThm
2961
def
50
ref
529
ref
2914
ref
appTerm
appTerm
2952
ref
537
ref
appTerm
appTerm
refl
appThm
trans
2958
remove
refl
2962
def
2948
remove
assume
2963
def
appThm
eqMp
sym
51
ref
2934
remove
appThm
2952
ref
refl
2964
def
539
ref
appThm
2936
ref
2062
ref
subst
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2949
ref
cons
2965
def
110
ref
2953
ref
cons
nil
cons
2966
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
2947
ref
14
ref
appTerm
2967
def
nil
cons
2968
def
cons
2969
def
2954
remove
cons
nil
cons
cons
2970
def
76
ref
subst
2970
remove
107
ref
subst
2960
remove
"_11054"
3
ref
var
2971
def
50
ref
50
ref
2971
remove
varTerm
2972
def
appTerm
2914
ref
appTerm
appTerm
2952
ref
419
ref
2972
remove
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
2961
remove
50
ref
497
ref
2914
ref
appTerm
appTerm
2952
ref
585
ref
appTerm
appTerm
refl
appThm
trans
2962
remove
2967
remove
assume
2973
def
appThm
eqMp
sym
51
ref
2933
ref
501
ref
subst
appThm
2964
remove
590
ref
appThm
2936
remove
517
ref
subst
2933
ref
2448
ref
subst
2974
def
trans
2975
def
trans
appThm
2933
remove
573
ref
subst
2976
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
2968
remove
cons
2977
def
2966
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
ref
2912
ref
appTerm
2978
def
betaConv
607
ref
nil
608
ref
43
ref
2978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
ref
20
ref
2929
remove
cons
nil
cons
2979
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2980
def
nil
2977
ref
110
ref
2949
remove
cons
2981
def
612
ref
2953
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
108
ref
2941
remove
cons
2982
def
2939
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
ref
2907
ref
appTerm
2983
def
betaConv
607
ref
nil
608
ref
43
ref
2983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
ref
20
ref
2907
ref
nil
cons
2984
def
cons
nil
cons
2985
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
2986
def
nil
2982
ref
110
ref
2910
remove
cons
2987
def
612
ref
2918
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2880
remove
appTerm
thm
nil
218
ref
38
ref
200
ref
141
ref
50
ref
2610
remove
143
ref
appTerm
2988
def
appTerm
30
ref
"Set.intersect"
const
191
ref
constTerm
2989
def
39
ref
appTerm
2990
def
142
ref
appTerm
2991
def
appTerm
2992
def
appTerm
2993
def
absTerm
2994
def
appTerm
2995
def
absTerm
2996
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
2995
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
2994
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
2993
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
2988
remove
nil
cons
2997
def
cons
43
ref
2992
remove
nil
cons
2998
def
cons
nil
cons
2999
def
cons
nil
cons
cons
3000
def
76
ref
subst
3000
remove
107
ref
subst
nil
310
ref
2999
ref
cons
nil
cons
cons
3001
def
76
ref
subst
3001
remove
107
ref
subst
1723
ref
1725
remove
148
ref
2991
ref
appTerm
3002
def
1724
ref
appTerm
appTerm
absTerm
3003
def
142
ref
appTerm
betaConv
sym
2871
ref
nil
431
remove
1728
ref
nil
cons
cons
nil
cons
cons
3004
def
nil
96
ref
148
ref
2989
ref
142
ref
appTerm
39
ref
appTerm
3005
def
appTerm
39
ref
appTerm
3006
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
141
ref
3006
remove
absTerm
3007
def
142
ref
appTerm
3008
def
betaConv
38
ref
200
ref
3007
ref
appTerm
3009
def
absTerm
3010
def
39
ref
appTerm
3011
def
betaConv
nil
200
ref
3010
ref
appTerm
3012
def
axiom
nil
25
ref
3012
remove
nil
cons
cons
43
ref
3011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3010
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3009
remove
nil
cons
cons
43
ref
3008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3007
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
3003
ref
nil
cons
cons
3013
def
234
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
3003
ref
appTerm
nil
cons
cons
2999
ref
cons
nil
cons
cons
135
ref
subst
3014
def
proveHyp
nil
38
ref
2991
ref
nil
cons
3015
def
cons
nil
cons
nil
cons
cons
755
ref
subst
3016
def
eqMp
eqMp
nil
1777
ref
110
ref
2998
ref
cons
nil
cons
3017
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1111
ref
2999
remove
cons
nil
cons
cons
3018
def
76
ref
subst
3018
remove
107
ref
subst
3003
remove
39
ref
appTerm
betaConv
sym
1064
ref
nil
96
ref
3002
remove
39
ref
appTerm
3019
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
141
ref
3019
remove
absTerm
3020
def
142
ref
appTerm
3021
def
betaConv
38
ref
200
ref
3020
ref
appTerm
3022
def
absTerm
3023
def
39
ref
appTerm
3024
def
betaConv
nil
200
ref
3023
ref
appTerm
3025
def
axiom
nil
25
ref
3025
remove
nil
cons
cons
43
ref
3024
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3023
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3022
remove
nil
cons
cons
43
ref
3021
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3020
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
3013
remove
221
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
3014
remove
proveHyp
3016
remove
eqMp
eqMp
nil
1057
ref
3017
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1057
ref
632
remove
612
ref
2998
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
2997
remove
cons
3017
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
2996
remove
appTerm
thm
2371
remove
nil
2372
remove
thm
nil
801
ref
763
ref
1218
remove
absTerm
3026
def
nil
cons
cons
nil
cons
nil
cons
cons
805
ref
subst
763
ref
nil
96
ref
1219
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
1217
ref
eqMp
absThm
eqMp
nil
852
ref
3026
remove
appTerm
thm
nil
801
ref
763
ref
52
ref
1274
ref
785
ref
appTerm
3027
def
appTerm
3028
def
811
ref
"N"
760
ref
var
3029
def
790
ref
909
ref
66
ref
819
ref
3029
ref
varTerm
3030
def
appTerm
3031
def
910
ref
appTerm
3032
def
appTerm
3033
def
793
ref
910
ref
appTerm
785
ref
appTerm
3034
def
appTerm
absTerm
3035
def
appTerm
3036
def
absTerm
3037
def
appTerm
3038
def
appTerm
3039
def
absTerm
3040
def
nil
cons
cons
nil
cons
nil
cons
cons
805
ref
subst
763
ref
nil
96
ref
3039
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
77
ref
778
remove
518
ref
1217
remove
appThm
trans
3041
def
appThm
3038
ref
refl
3042
def
appThm
sym
77
ref
77
ref
518
ref
831
ref
791
ref
890
ref
absThm
appThm
appThm
appThm
832
ref
791
ref
518
ref
890
remove
appThm
absThm
appThm
appThm
nil
1177
ref
1018
remove
cons
nil
cons
nil
cons
cons
769
ref
175
ref
52
ref
419
ref
2192
ref
appTerm
appTerm
166
ref
2479
remove
appTerm
appTerm
absTerm
3043
def
177
ref
appTerm
3044
def
betaConv
nil
354
ref
3043
ref
appTerm
3045
def
axiom
nil
25
ref
3045
remove
nil
cons
cons
43
ref
3044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
3043
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3046
def
subst
3047
def
subst
eqMp
832
ref
791
ref
77
ref
518
ref
832
ref
812
ref
939
ref
absThm
appThm
appThm
appThm
831
ref
812
ref
518
ref
939
remove
appThm
absThm
appThm
appThm
nil
1177
ref
940
remove
cons
nil
cons
nil
cons
cons
769
ref
2483
ref
subst
3048
def
subst
eqMp
831
ref
812
ref
nil
2766
ref
839
remove
cons
2767
ref
815
ref
nil
cons
3049
def
cons
nil
cons
cons
nil
cons
cons
2766
ref
52
ref
419
ref
50
ref
2768
ref
appTerm
2769
ref
appTerm
appTerm
appTerm
66
ref
2768
ref
appTerm
3050
def
2770
remove
appTerm
appTerm
absTerm
3051
def
2769
ref
appTerm
3052
def
betaConv
2767
ref
159
ref
3051
ref
appTerm
3053
def
absTerm
3054
def
2768
ref
appTerm
3055
def
betaConv
nil
159
ref
3054
ref
appTerm
3056
def
axiom
nil
25
ref
3056
remove
nil
cons
cons
43
ref
3055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3054
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3053
remove
nil
cons
cons
43
ref
3052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3051
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3057
def
subst
66
ref
815
ref
appTerm
3058
def
refl
1005
remove
1243
ref
subst
nil
909
ref
859
ref
cons
3059
def
1244
remove
cons
nil
cons
cons
909
ref
52
ref
1152
ref
appTerm
819
ref
1141
ref
918
ref
appTerm
3060
def
appTerm
910
ref
appTerm
3061
def
appTerm
3062
def
absTerm
3063
def
910
ref
appTerm
3064
def
betaConv
913
ref
811
ref
3063
ref
appTerm
3065
def
absTerm
3066
def
918
ref
appTerm
3067
def
betaConv
832
ref
913
ref
832
ref
909
ref
3062
remove
assume
sym
52
ref
3061
remove
appTerm
1152
ref
appTerm
3068
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
811
ref
913
ref
811
ref
909
ref
3068
remove
absTerm
3069
def
appTerm
3070
def
absTerm
3071
def
appTerm
3072
def
axiom
3073
def
eqMp
nil
25
ref
811
ref
3066
ref
appTerm
nil
cons
cons
43
ref
3067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3066
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3065
remove
nil
cons
cons
43
ref
3064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3063
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3074
def
subst
trans
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
appThm
3042
ref
appThm
sym
nil
25
ref
811
ref
791
remove
790
ref
812
ref
3058
ref
1232
remove
813
ref
appTerm
appTerm
absTerm
appTerm
absTerm
3075
def
appTerm
3076
def
nil
cons
3077
def
cons
3078
def
43
ref
3038
ref
nil
cons
3079
def
cons
nil
cons
cons
nil
cons
cons
3080
def
140
ref
subst
3080
ref
76
ref
subst
3080
remove
107
ref
subst
nil
878
ref
3037
ref
nil
cons
cons
3081
def
nil
cons
nil
cons
cons
879
ref
subst
3029
ref
nil
96
ref
3036
ref
nil
cons
3082
def
cons
nil
cons
nil
cons
cons
102
ref
subst
3075
ref
3030
ref
appTerm
3083
def
betaConv
nil
3078
remove
43
ref
3083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
3075
remove
nil
cons
cons
812
ref
3030
ref
nil
cons
3084
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
790
ref
812
ref
3058
remove
819
ref
1141
ref
3030
remove
appTerm
3085
def
appTerm
3086
def
813
ref
appTerm
appTerm
absTerm
3087
def
appTerm
3088
def
nil
cons
3089
def
cons
43
ref
3082
ref
cons
nil
cons
3090
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
909
ref
50
ref
3087
ref
910
ref
appTerm
3091
def
appTerm
3036
ref
appTerm
3092
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
3092
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3091
ref
nil
cons
3093
def
cons
3090
ref
cons
nil
cons
cons
3094
def
76
ref
subst
3094
remove
107
ref
subst
3091
ref
betaConv
3095
def
3091
remove
assume
eqMp
nil
25
ref
66
ref
3034
ref
appTerm
3086
remove
910
ref
appTerm
3096
def
appTerm
nil
cons
3097
def
cons
3090
remove
cons
nil
cons
cons
3098
def
135
ref
subst
proveHyp
3098
ref
76
ref
subst
3098
remove
107
ref
subst
nil
108
ref
3034
ref
nil
cons
3099
def
cons
110
ref
3096
ref
nil
cons
3100
def
cons
nil
cons
cons
nil
cons
cons
3101
def
122
ref
subst
3101
remove
139
ref
subst
3035
ref
910
ref
appTerm
betaConv
sym
3033
remove
refl
nil
96
ref
3099
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3034
ref
assume
eqMp
3102
def
appThm
nil
96
ref
3032
remove
nil
cons
3103
def
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
sym
"n'"
760
ref
var
3104
def
66
ref
3031
remove
3104
ref
varTerm
3105
def
appTerm
appTerm
819
ref
3105
ref
appTerm
3106
def
910
ref
appTerm
3107
def
appTerm
absTerm
3108
def
3085
ref
appTerm
betaConv
sym
153
ref
nil
909
ref
3084
ref
cons
nil
cons
nil
cons
cons
nil
96
ref
911
ref
1142
ref
appTerm
3109
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
909
ref
3109
remove
absTerm
3110
def
910
ref
appTerm
3111
def
betaConv
nil
811
ref
3110
ref
appTerm
3112
def
axiom
nil
25
ref
3112
remove
nil
cons
cons
43
ref
3111
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3110
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
appThm
nil
96
ref
3100
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3096
ref
assume
eqMp
3113
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
768
ref
878
ref
3108
ref
nil
cons
cons
812
ref
3085
ref
nil
cons
cons
nil
cons
3114
def
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
790
ref
3108
remove
appTerm
nil
cons
cons
43
ref
3103
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
944
ref
929
ref
cons
913
ref
3084
remove
cons
nil
cons
cons
nil
cons
cons
999
remove
subst
eqMp
eqMp
eqMp
768
ref
878
ref
3035
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3097
remove
cons
110
ref
3082
remove
cons
nil
cons
3115
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3093
remove
cons
3115
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
3087
ref
813
ref
appTerm
appTerm
3036
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
3088
ref
appTerm
3036
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3087
remove
nil
cons
cons
3116
def
3115
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
3077
ref
cons
110
ref
3079
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
3076
ref
appTerm
3038
ref
appTerm
nil
cons
cons
43
ref
50
ref
3038
remove
appTerm
3076
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
3079
ref
cons
3117
def
43
ref
3077
ref
cons
nil
cons
cons
nil
cons
cons
3118
def
76
ref
subst
3118
remove
107
ref
subst
nil
878
ref
3029
ref
3088
ref
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
3029
remove
nil
96
ref
3089
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3037
remove
3085
remove
appTerm
3119
def
betaConv
nil
3117
remove
43
ref
3119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
3081
remove
3114
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
790
ref
909
ref
66
ref
3096
remove
appTerm
3034
ref
appTerm
3120
def
absTerm
3121
def
appTerm
3122
def
nil
cons
cons
43
ref
3089
ref
cons
nil
cons
3123
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
909
ref
50
ref
3121
ref
910
ref
appTerm
3124
def
appTerm
3088
ref
appTerm
3125
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
3125
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3124
ref
nil
cons
3126
def
cons
3123
ref
cons
nil
cons
cons
3127
def
76
ref
subst
3127
remove
107
ref
subst
3124
ref
betaConv
3124
remove
assume
eqMp
nil
25
ref
3120
remove
nil
cons
3128
def
cons
3123
remove
cons
nil
cons
cons
3129
def
135
ref
subst
proveHyp
3129
ref
76
ref
subst
3129
remove
107
ref
subst
nil
108
ref
3100
remove
cons
110
ref
3099
ref
cons
nil
cons
3130
def
cons
nil
cons
cons
3131
def
122
ref
subst
3131
remove
139
ref
subst
3095
remove
sym
153
ref
3102
ref
appThm
3113
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
768
ref
3116
remove
930
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3128
remove
cons
110
ref
3089
remove
cons
nil
cons
3132
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3126
remove
cons
3132
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
3121
ref
813
ref
appTerm
appTerm
3088
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
3122
remove
appTerm
3088
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3121
remove
nil
cons
cons
3132
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
3079
remove
cons
110
ref
3077
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
852
ref
3040
remove
appTerm
thm
nil
218
ref
38
ref
673
ref
0
ref
1
ref
2
ref
31
ref
opType
3133
def
4
ref
cons
opType
3134
def
constTerm
3135
def
1130
ref
1
ref
29
ref
3133
ref
nil
cons
3136
def
cons
opType
constTerm
3137
def
"v"
28
ref
var
3138
def
267
ref
141
ref
66
ref
188
ref
3138
ref
varTerm
appTerm
3139
def
142
ref
appTerm
appTerm
3140
def
411
ref
39
ref
appTerm
3141
def
appTerm
absTerm
appTerm
absTerm
appTerm
3142
def
appTerm
3143
def
appTerm
3144
def
absTerm
3145
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3144
remove
nil
cons
3146
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1111
ref
43
ref
3143
ref
nil
cons
3147
def
cons
nil
cons
cons
nil
cons
cons
3148
def
76
ref
subst
3148
remove
107
ref
subst
3135
ref
refl
3149
def
38
ref
8
ref
1
ref
3133
ref
3134
ref
nil
cons
3150
def
cons
opType
3151
def
constTerm
3152
def
3142
ref
appTerm
1400
ref
1
ref
1200
ref
1
ref
2
ref
359
ref
opType
3153
def
3136
ref
cons
opType
nil
cons
cons
opType
constTerm
175
ref
1201
ref
1202
ref
238
ref
35
ref
66
ref
1203
ref
36
ref
appTerm
3154
def
appTerm
3155
def
241
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3156
def
appTerm
1130
ref
1
ref
165
ref
3153
ref
nil
cons
cons
opType
constTerm
"v"
164
ref
var
3157
def
237
ref
180
remove
constTerm
175
ref
66
ref
176
remove
3157
remove
varTerm
appTerm
177
ref
appTerm
appTerm
66
ref
166
ref
35
ref
435
ref
420
ref
1
ref
3
ref
9
remove
cons
opType
constTerm
241
ref
appTerm
11
ref
appTerm
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
50
ref
1027
remove
appTerm
3158
def
52
ref
241
ref
appTerm
15
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3159
def
appTerm
3160
def
appTerm
absTerm
3161
def
39
ref
appTerm
3162
def
betaConv
nil
200
ref
3161
ref
appTerm
3163
def
axiom
nil
25
ref
3163
remove
nil
cons
cons
43
ref
3162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3161
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
sym
1064
ref
758
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
nil
25
ref
1045
ref
759
remove
appTerm
nil
cons
cons
43
ref
0
ref
1
ref
3153
ref
4
ref
cons
opType
constTerm
3159
ref
appTerm
nil
cons
3164
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"d"
3
ref
var
509
remove
cons
"t"
5
remove
var
11
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2179
remove
nil
1952
ref
43
ref
0
ref
1
ref
2
ref
1451
ref
opType
3165
def
4
ref
cons
opType
3166
def
constTerm
3167
def
1130
ref
1
ref
1428
ref
3165
ref
nil
cons
3168
def
cons
opType
constTerm
3169
def
"v"
1411
ref
var
3170
def
237
ref
1429
remove
constTerm
3171
def
1417
ref
66
ref
2181
ref
3170
ref
varTerm
appTerm
3172
def
1418
ref
appTerm
appTerm
3173
def
66
ref
166
ref
35
ref
435
ref
1365
ref
1442
ref
appTerm
3174
def
1308
ref
appTerm
3175
def
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
3158
remove
1669
ref
"d"
285
ref
var
3176
def
varTerm
3177
def
appTerm
3178
def
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3179
def
appTerm
3180
def
nil
cons
3181
def
cons
nil
cons
3182
def
cons
nil
cons
cons
3183
def
76
ref
subst
3183
remove
107
ref
subst
1958
ref
1959
ref
nil
1111
ref
3182
remove
cons
nil
cons
cons
135
ref
subst
38
ref
673
ref
3180
ref
appTerm
absTerm
3184
def
39
ref
appTerm
3185
def
betaConv
3167
ref
refl
3186
def
1301
ref
8
ref
1
ref
3165
ref
3166
ref
nil
cons
3187
def
cons
opType
3188
def
constTerm
3189
def
3169
ref
3170
ref
3171
ref
1417
ref
3173
ref
66
ref
166
ref
35
ref
2047
ref
3175
ref
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
50
ref
834
remove
appTerm
3178
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3190
def
appTerm
12
ref
1
ref
1411
ref
1
ref
3165
ref
3168
ref
cons
opType
nil
cons
cons
opType
constTerm
35
ref
3177
ref
absTerm
3191
def
appTerm
16
ref
3165
ref
constTerm
appTerm
appTerm
absTerm
3192
def
1308
ref
appTerm
3193
def
betaConv
3176
ref
1858
ref
3192
ref
appTerm
3194
def
absTerm
3195
def
3177
ref
appTerm
3196
def
betaConv
nil
291
ref
3195
ref
appTerm
3197
def
axiom
nil
25
ref
3197
remove
nil
cons
cons
43
ref
3196
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
3195
remove
nil
cons
cons
1364
ref
3177
ref
nil
cons
cons
nil
cons
3198
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3194
remove
nil
cons
cons
43
ref
3193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
3192
remove
nil
cons
cons
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
nil
"a"
1411
ref
var
3191
remove
nil
cons
cons
nil
cons
nil
cons
cons
1788
ref
2765
remove
subst
subst
trans
sym
94
ref
eqMp
nil
25
ref
3167
ref
3190
remove
appTerm
3199
def
nil
cons
cons
43
ref
166
ref
35
ref
200
ref
38
ref
50
ref
66
ref
3180
ref
appTerm
1028
ref
appTerm
3200
def
appTerm
3167
ref
3169
ref
3170
ref
3171
ref
1417
ref
3173
ref
66
ref
166
ref
443
ref
2065
ref
1365
ref
1481
ref
appTerm
1308
ref
appTerm
3201
def
appTerm
absTerm
appTerm
appTerm
166
ref
443
ref
50
ref
419
ref
1479
remove
appTerm
appTerm
1436
ref
1481
ref
appTerm
3202
def
3177
ref
appTerm
3203
def
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
3204
def
appTerm
3205
def
absTerm
3206
def
appTerm
3207
def
absTerm
3208
def
appTerm
3209
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
3208
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3207
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
3206
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3205
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3200
remove
nil
cons
3210
def
cons
43
ref
3204
remove
nil
cons
3211
def
cons
nil
cons
cons
nil
cons
cons
3212
def
76
ref
subst
3212
remove
107
ref
subst
nil
108
ref
3181
ref
cons
2084
ref
cons
nil
cons
cons
122
ref
subst
3186
remove
2089
ref
1301
ref
3189
remove
3169
ref
3170
ref
3171
ref
1417
ref
3173
ref
66
ref
166
ref
35
ref
50
ref
2091
ref
appTerm
3213
def
3175
ref
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
50
ref
419
ref
2091
remove
appTerm
appTerm
3178
remove
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1400
ref
1
ref
1
ref
1279
remove
285
ref
1451
ref
cons
opType
3214
def
1451
ref
cons
opType
3215
def
1
ref
2
ref
3214
remove
nil
cons
3216
def
opType
3217
def
3168
ref
cons
opType
nil
cons
cons
opType
constTerm
3218
def
2030
ref
1
ref
1
ref
3215
ref
4
ref
cons
opType
3215
ref
nil
cons
cons
opType
constTerm
3219
def
"f"
3215
remove
var
3220
def
291
ref
1833
ref
1430
ref
"g"
1411
ref
var
3221
def
2181
ref
3220
ref
varTerm
1828
remove
1
ref
285
ref
1
ref
1411
ref
3216
ref
cons
opType
nil
cons
cons
opType
constTerm
1838
ref
appTerm
3221
ref
varTerm
3222
def
appTerm
appTerm
appTerm
3223
def
35
ref
"Data.Bool.cond"
const
3224
def
1
ref
3
ref
1
ref
285
ref
1
ref
285
ref
1280
ref
cons
opType
3225
def
nil
cons
3226
def
cons
opType
nil
cons
cons
opType
constTerm
3227
def
459
ref
1836
ref
appTerm
3228
def
appTerm
1838
ref
appTerm
3222
ref
36
ref
appTerm
3229
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1292
remove
1
ref
1293
ref
1
ref
3165
ref
3217
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
1308
ref
appTerm
3230
def
3179
remove
appTerm
appTerm
appTerm
absTerm
3231
def
1308
ref
appTerm
3232
def
betaConv
38
ref
1858
ref
3231
ref
appTerm
3233
def
absTerm
3234
def
39
ref
appTerm
3235
def
betaConv
1835
ref
200
ref
3234
ref
appTerm
3236
def
absTerm
3237
def
1836
ref
appTerm
3238
def
betaConv
3176
ref
166
ref
3237
ref
appTerm
3239
def
absTerm
3240
def
3177
remove
appTerm
3241
def
betaConv
nil
291
ref
3240
ref
appTerm
3242
def
axiom
nil
25
ref
3242
remove
nil
cons
cons
43
ref
3241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
3240
remove
nil
cons
cons
3198
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3239
remove
nil
cons
cons
43
ref
3238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3237
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3236
remove
nil
cons
cons
43
ref
3235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3234
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3233
remove
nil
cons
cons
43
ref
3232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
3231
remove
nil
cons
cons
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
sym
153
ref
2363
ref
appThm
nil
96
ref
3181
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3180
ref
assume
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
nil
25
ref
66
ref
1322
ref
appTerm
3243
def
3167
ref
3169
ref
3170
ref
3171
ref
1417
ref
3173
ref
66
ref
166
ref
443
ref
2111
ref
3201
ref
appTerm
absTerm
appTerm
appTerm
166
ref
443
ref
50
ref
419
ref
1702
ref
appTerm
appTerm
3203
remove
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3244
def
appTerm
appTerm
nil
cons
cons
43
ref
0
ref
1
ref
3217
ref
4
ref
cons
opType
constTerm
3230
remove
3244
ref
appTerm
3245
def
appTerm
nil
cons
3246
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"t"
3165
ref
var
3247
def
3244
remove
nil
cons
cons
1348
ref
cons
nil
cons
cons
1350
ref
"B"
1451
ref
cons
nil
cons
3248
def
cons
23
ref
cons
2373
ref
subst
subst
eqMp
nil
25
ref
3246
remove
cons
43
ref
3167
ref
3218
remove
3219
remove
3220
ref
291
ref
1833
ref
1430
ref
3221
ref
3223
remove
443
ref
3227
ref
477
ref
appTerm
1838
ref
appTerm
3222
ref
444
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3249
def
appTerm
3245
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"s"
3217
remove
var
3245
remove
nil
cons
cons
3220
remove
3249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
3216
remove
cons
3248
ref
cons
23
ref
cons
1794
ref
subst
subst
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
3210
remove
cons
110
ref
3211
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
3199
remove
appTerm
3209
remove
appTerm
nil
cons
cons
43
ref
200
ref
3184
ref
appTerm
nil
cons
3250
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
3180
ref
absTerm
3251
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
153
ref
3251
ref
39
ref
appTerm
betaConv
3252
def
appThm
2128
ref
appThm
appThm
3251
ref
40
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
1110
ref
3252
remove
appThm
absThm
appThm
appThm
nil
694
ref
3251
remove
nil
cons
cons
nil
cons
nil
cons
cons
1116
ref
subst
eqMp
eqMp
nil
25
ref
3250
remove
cons
43
ref
3185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3184
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2368
ref
110
ref
3181
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
3253
def
subst
subst
eqMp
nil
25
ref
3164
remove
cons
43
ref
3135
ref
3160
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"s"
3153
remove
var
3159
remove
nil
cons
cons
"f"
1200
remove
var
3156
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
360
remove
283
ref
nil
cons
3254
def
cons
23
ref
cons
1794
ref
subst
subst
eqMp
eqMp
3255
def
eqMp
nil
1057
ref
110
ref
3147
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
3256
def
eqMp
absThm
eqMp
nil
200
ref
3145
remove
appTerm
thm
nil
218
ref
38
ref
52
ref
3143
ref
appTerm
3257
def
44
ref
appTerm
3258
def
absTerm
3259
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3258
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3147
ref
cons
3260
def
46
ref
cons
nil
cons
cons
3261
def
140
ref
subst
3261
ref
76
ref
subst
3261
remove
107
ref
subst
nil
"t"
3133
ref
var
3262
def
3142
ref
nil
cons
cons
3263
def
"s"
3133
ref
var
3264
def
1400
ref
1
ref
636
ref
1
ref
28
ref
3136
ref
cons
opType
nil
cons
cons
opType
constTerm
3265
def
35
ref
194
remove
absTerm
3266
def
appTerm
39
ref
appTerm
3267
def
nil
cons
cons
nil
cons
3268
def
cons
nil
cons
cons
345
ref
442
ref
subst
3269
def
subst
77
ref
205
ref
219
ref
50
ref
420
ref
1
ref
28
ref
3150
remove
cons
opType
constTerm
3270
def
734
ref
appTerm
3271
def
3267
ref
appTerm
appTerm
refl
219
ref
3271
ref
3142
ref
appTerm
absTerm
3272
def
734
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
204
ref
35
ref
1796
ref
3272
ref
3266
ref
36
ref
appTerm
3273
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
694
ref
3272
remove
nil
cons
cons
"f"
636
ref
var
3274
def
3266
ref
nil
cons
cons
nil
cons
3275
def
cons
nil
cons
cons
212
ref
3254
ref
cons
23
ref
cons
3276
def
38
ref
52
ref
291
ref
292
ref
50
ref
1798
ref
appTerm
1530
ref
varTerm
3277
def
294
ref
appTerm
3278
def
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
435
ref
3277
ref
1442
ref
appTerm
3279
def
appTerm
absTerm
appTerm
appTerm
absTerm
3280
def
39
ref
appTerm
3281
def
betaConv
1417
ref
200
ref
3280
ref
appTerm
3282
def
absTerm
3283
def
1418
ref
appTerm
3284
def
betaConv
1530
ref
1430
ref
3283
ref
appTerm
3285
def
absTerm
3286
def
3277
ref
appTerm
3287
def
betaConv
nil
158
ref
1
ref
290
ref
4
ref
cons
opType
constTerm
3288
def
3286
ref
appTerm
3289
def
axiom
nil
25
ref
3289
remove
nil
cons
cons
43
ref
3287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
287
ref
cons
nil
cons
3290
def
"P"
290
remove
var
3291
def
3286
remove
nil
cons
cons
"x"
286
ref
var
3292
def
3277
ref
nil
cons
cons
nil
cons
3293
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3285
remove
nil
cons
cons
43
ref
3284
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
3283
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3282
remove
nil
cons
cons
43
ref
3281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3280
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3294
def
subst
subst
eqMp
204
ref
35
ref
nil
1081
ref
43
ref
52
ref
3270
ref
3273
ref
appTerm
3295
def
3142
ref
appTerm
3296
def
appTerm
3297
def
14
ref
appTerm
3298
def
nil
cons
3299
def
cons
nil
cons
cons
nil
cons
cons
3300
def
76
ref
subst
3300
remove
107
ref
subst
77
ref
3295
remove
refl
3137
ref
refl
3301
def
3138
ref
2486
ref
141
ref
3140
ref
refl
3302
def
141
ref
3141
ref
absTerm
3303
def
142
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3303
ref
3273
ref
appTerm
betaConv
appThm
nil
694
ref
3303
remove
nil
cons
cons
219
ref
3273
ref
nil
cons
3304
def
cons
nil
cons
cons
nil
cons
cons
345
ref
1214
ref
subst
3305
def
subst
eqMp
nil
1728
ref
38
ref
3304
remove
cons
nil
cons
3306
def
cons
nil
cons
cons
442
ref
subst
204
ref
443
ref
nil
508
ref
43
ref
52
ref
1702
ref
appTerm
3307
def
14
ref
appTerm
3308
def
nil
cons
3309
def
cons
nil
cons
cons
nil
cons
cons
3310
def
76
ref
subst
3310
remove
107
ref
subst
520
remove
39
ref
refl
3311
def
appThm
1092
remove
trans
eqMp
nil
503
remove
110
ref
3309
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
477
ref
appTerm
3312
def
3308
remove
appTerm
nil
cons
cons
43
ref
52
ref
50
ref
445
ref
3273
ref
appTerm
3313
def
appTerm
1702
remove
appTerm
appTerm
3314
def
3312
ref
14
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2223
ref
445
remove
refl
3315
def
3273
ref
betaConv
appThm
2117
remove
449
ref
52
ref
423
ref
455
remove
193
ref
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
3316
def
454
ref
appTerm
3317
def
betaConv
35
ref
166
ref
3316
ref
appTerm
3318
def
absTerm
3319
def
36
ref
appTerm
3320
def
betaConv
nil
166
ref
3319
ref
appTerm
3321
def
axiom
nil
25
ref
3321
remove
nil
cons
cons
43
ref
3320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3319
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3318
remove
nil
cons
cons
43
ref
3317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3316
remove
nil
cons
cons
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3322
def
subst
trans
3323
def
nil
25
ref
52
ref
3313
ref
appTerm
3324
def
477
ref
appTerm
nil
cons
cons
43
ref
50
ref
3312
ref
3307
remove
2225
ref
appTerm
3325
def
appTerm
appTerm
3314
ref
3312
ref
2225
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2227
ref
502
remove
cons
nil
cons
nil
cons
cons
2222
ref
50
ref
3324
remove
2228
ref
appTerm
appTerm
50
ref
2229
ref
3325
remove
appTerm
appTerm
3314
remove
2230
ref
appTerm
appTerm
appTerm
absTerm
3326
def
2225
ref
appTerm
3327
def
betaConv
2227
ref
159
ref
3326
ref
appTerm
3328
def
absTerm
3329
def
2228
ref
appTerm
3330
def
betaConv
nil
43
ref
2113
remove
cons
3331
def
25
ref
3313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2305
ref
subst
nil
25
ref
159
ref
3329
ref
appTerm
nil
cons
cons
43
ref
3330
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3329
remove
nil
cons
cons
2306
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3328
remove
nil
cons
cons
43
ref
3327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3326
remove
nil
cons
cons
2307
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
2121
remove
2062
ref
subst
trans
absThm
appThm
2365
ref
trans
trans
trans
eqMp
nil
1074
ref
110
ref
3299
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
435
ref
3298
remove
appTerm
nil
cons
cons
43
ref
52
ref
435
ref
3296
ref
appTerm
appTerm
3332
def
435
ref
14
ref
appTerm
3333
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2223
ref
1671
ref
nil
25
ref
1072
ref
434
ref
appTerm
nil
cons
cons
3334
def
43
ref
50
ref
435
ref
3297
remove
2225
ref
appTerm
3335
def
appTerm
appTerm
3332
ref
435
ref
2225
ref
appTerm
3336
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2227
ref
1073
ref
cons
nil
cons
nil
cons
cons
3337
def
2222
ref
50
ref
1072
ref
2228
ref
appTerm
appTerm
3338
def
50
ref
2229
ref
3335
remove
appTerm
appTerm
3332
remove
2230
ref
appTerm
appTerm
appTerm
absTerm
3339
def
2225
ref
appTerm
3340
def
betaConv
2227
ref
159
ref
3339
ref
appTerm
3341
def
absTerm
3342
def
2228
ref
appTerm
3343
def
betaConv
nil
43
ref
3296
remove
nil
cons
cons
1081
ref
nil
cons
3344
def
cons
nil
cons
cons
2305
ref
subst
nil
25
ref
159
ref
3342
ref
appTerm
nil
cons
cons
43
ref
3343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3342
remove
nil
cons
cons
2306
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3341
remove
nil
cons
cons
43
ref
3340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3339
remove
nil
cons
cons
2307
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
2364
ref
trans
absThm
appThm
2365
ref
trans
trans
trans
sym
94
ref
eqMp
nil
25
ref
145
ref
3151
remove
constTerm
3345
def
3267
ref
appTerm
3142
ref
appTerm
nil
cons
cons
43
ref
3135
ref
3267
remove
appTerm
3346
def
nil
cons
3347
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3268
remove
nil
cons
cons
3264
ref
50
ref
3345
ref
3264
ref
varTerm
3348
def
appTerm
3349
def
3142
remove
appTerm
appTerm
3135
ref
3348
ref
appTerm
3350
def
appTerm
absTerm
3351
def
3348
ref
appTerm
3352
def
betaConv
nil
3260
remove
43
ref
158
ref
1
ref
3134
ref
4
ref
cons
opType
3353
def
constTerm
3354
def
3351
ref
appTerm
nil
cons
3355
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
3263
remove
nil
cons
nil
cons
cons
345
ref
691
ref
142
ref
appTerm
3356
def
betaConv
709
remove
nil
25
ref
692
remove
cons
43
ref
3356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
691
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
25
ref
3355
remove
cons
43
ref
3352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
3136
ref
cons
nil
cons
3357
def
"P"
3134
ref
var
3358
def
3351
remove
nil
cons
cons
"x"
3133
ref
var
3359
def
3348
ref
nil
cons
3360
def
cons
nil
cons
3361
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
3347
ref
cons
46
ref
cons
nil
cons
cons
135
ref
subst
204
ref
35
ref
204
ref
449
ref
51
ref
2366
ref
153
ref
422
ref
454
ref
appTerm
3362
def
39
ref
appTerm
3363
def
refl
appThm
nil
141
ref
3266
remove
454
ref
appTerm
3364
def
nil
cons
cons
3306
remove
cons
nil
cons
cons
1527
ref
subst
204
ref
443
ref
77
ref
3323
remove
appThm
3315
ref
3364
ref
betaConv
appThm
nil
452
ref
nil
cons
cons
3365
def
3322
remove
subst
trans
appThm
absThm
appThm
trans
appThm
appThm
appThm
460
ref
refl
3366
def
appThm
absThm
appThm
absThm
appThm
sym
nil
167
ref
35
ref
166
ref
449
ref
50
ref
1440
ref
66
ref
3363
ref
appTerm
3367
def
166
ref
443
ref
52
ref
477
remove
appTerm
476
ref
454
ref
appTerm
3368
def
appTerm
absTerm
3369
def
appTerm
3370
def
appTerm
3371
def
appTerm
3372
def
appTerm
460
ref
appTerm
3373
def
absTerm
3374
def
appTerm
3375
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3375
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
3374
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
449
ref
nil
96
ref
3373
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3372
remove
nil
cons
3376
def
cons
43
ref
460
ref
nil
cons
3377
def
cons
nil
cons
3378
def
cons
nil
cons
cons
3379
def
76
ref
subst
3379
remove
107
ref
subst
nil
1074
ref
110
ref
3371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
nil
108
ref
3363
ref
nil
cons
3380
def
cons
3381
def
110
ref
3370
remove
nil
cons
3382
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
3369
ref
36
ref
appTerm
3383
def
betaConv
nil
25
ref
3382
remove
cons
43
ref
3383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
3369
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
52
ref
1257
remove
appTerm
460
ref
appTerm
nil
cons
cons
3378
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
77
ref
1258
ref
appThm
3366
ref
appThm
nil
96
ref
3377
ref
cons
nil
cons
nil
cons
cons
3384
def
1099
ref
subst
trans
appThm
3366
ref
appThm
3384
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
3376
remove
cons
110
ref
3377
ref
cons
nil
cons
3385
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
166
ref
35
ref
166
ref
449
ref
50
ref
1440
ref
3367
ref
188
ref
3273
remove
appTerm
3364
remove
appTerm
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
52
ref
3346
ref
appTerm
44
ref
appTerm
nil
cons
3386
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3275
remove
nil
cons
cons
3276
ref
nil
25
ref
166
ref
35
ref
166
ref
449
ref
50
ref
1440
ref
3367
ref
1669
ref
1418
ref
454
ref
appTerm
3387
def
appTerm
3388
def
appTerm
3389
def
appTerm
3390
def
appTerm
460
ref
appTerm
3391
def
absTerm
3392
def
appTerm
3393
def
absTerm
3394
def
appTerm
3395
def
nil
cons
3396
def
cons
3397
def
43
ref
52
ref
1421
ref
appTerm
3398
def
44
ref
appTerm
3399
def
nil
cons
3400
def
cons
nil
cons
cons
nil
cons
cons
3401
def
76
ref
subst
3401
ref
107
ref
subst
nil
25
ref
1421
ref
nil
cons
3402
def
cons
3403
def
46
ref
cons
nil
cons
cons
3404
def
140
ref
subst
nil
3397
ref
43
ref
50
ref
1421
ref
appTerm
3405
def
44
ref
appTerm
nil
cons
3406
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
307
remove
43
ref
3402
ref
cons
3407
def
3397
ref
nil
cons
3408
def
cons
cons
nil
cons
cons
327
ref
312
ref
appTerm
3409
def
betaConv
329
ref
55
ref
appTerm
3410
def
betaConv
331
ref
53
ref
appTerm
3411
def
betaConv
333
remove
nil
25
ref
332
remove
nil
cons
cons
43
ref
3411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
331
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
330
remove
nil
cons
cons
43
ref
3410
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
329
remove
nil
cons
cons
335
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
328
remove
nil
cons
cons
43
ref
3409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
327
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3412
def
subst
sym
nil
25
ref
66
ref
3395
ref
appTerm
3413
def
1421
ref
appTerm
nil
cons
3414
def
cons
3415
def
46
ref
cons
nil
cons
cons
3416
def
76
ref
subst
3416
remove
107
ref
subst
nil
3415
remove
43
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
1420
ref
appTerm
3417
def
appTerm
3418
def
appTerm
absTerm
appTerm
absTerm
appTerm
3419
def
appTerm
3420
def
nil
cons
3421
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
1301
ref
1420
ref
nil
cons
3422
def
cons
3423
def
nil
cons
nil
cons
cons
38
ref
50
ref
3413
ref
1322
ref
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3175
ref
appTerm
3424
def
appTerm
absTerm
appTerm
absTerm
3425
def
appTerm
3426
def
appTerm
3427
def
appTerm
3428
def
absTerm
3429
def
39
ref
appTerm
3430
def
betaConv
3431
def
1301
ref
200
ref
3429
ref
appTerm
3432
def
absTerm
3433
def
1308
ref
appTerm
3434
def
betaConv
77
ref
1936
ref
1301
ref
205
ref
38
ref
1301
ref
3429
ref
absTerm
3435
def
1308
ref
appTerm
betaConv
3311
ref
appThm
3431
remove
trans
3436
def
absThm
appThm
absThm
appThm
appThm
205
ref
38
ref
1936
ref
1301
ref
3436
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
1
ref
1293
ref
146
ref
cons
opType
3437
def
var
3435
remove
nil
cons
cons
nil
cons
nil
cons
cons
283
ref
1870
ref
cons
23
ref
cons
3438
def
305
remove
subst
subst
eqMp
sym
nil
218
ref
38
ref
1858
ref
1301
ref
3428
remove
absTerm
appTerm
3439
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3439
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
1936
ref
1301
ref
nil
306
ref
3427
ref
nil
cons
3440
def
cons
1880
remove
3408
remove
cons
cons
nil
cons
cons
338
ref
subst
51
ref
204
ref
35
ref
204
ref
449
ref
nil
306
ref
3377
ref
cons
3441
def
43
ref
3389
remove
nil
cons
3442
def
cons
3344
ref
cons
cons
nil
cons
cons
338
ref
subst
1796
ref
nil
3441
remove
43
ref
3388
ref
nil
cons
3443
def
cons
3444
def
25
ref
3380
ref
cons
3445
def
nil
cons
cons
cons
nil
cons
cons
338
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
appThm
50
ref
1322
ref
appTerm
3446
def
3427
ref
appTerm
3447
def
refl
appThm
trans
absThm
appThm
sym
77
ref
1936
ref
1301
ref
50
ref
166
ref
35
ref
166
ref
449
ref
435
ref
50
ref
3363
ref
appTerm
3448
def
50
ref
3388
ref
appTerm
460
ref
appTerm
3449
def
appTerm
3450
def
appTerm
absTerm
appTerm
absTerm
appTerm
3451
def
appTerm
refl
3452
def
1301
ref
3447
remove
absTerm
3453
def
1308
ref
appTerm
betaConv
3454
def
appThm
absThm
appThm
appThm
3452
remove
1936
ref
1301
ref
3454
remove
absThm
appThm
appThm
appThm
nil
"q"
1313
ref
var
3455
def
3453
ref
nil
cons
cons
25
ref
3451
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2370
ref
365
ref
subst
subst
eqMp
51
ref
204
ref
35
ref
77
ref
204
ref
449
ref
1796
ref
449
ref
3450
remove
absTerm
3456
def
454
ref
appTerm
betaConv
3457
def
appThm
absThm
appThm
appThm
1796
ref
204
ref
449
ref
3457
remove
absThm
appThm
appThm
appThm
nil
346
ref
3456
ref
nil
cons
cons
3344
ref
cons
nil
cons
cons
365
remove
subst
eqMp
absThm
appThm
appThm
1858
ref
3453
remove
appTerm
3458
def
refl
appThm
trans
sym
nil
25
ref
166
ref
35
ref
435
ref
166
ref
3456
remove
appTerm
appTerm
absTerm
3459
def
appTerm
nil
cons
3460
def
cons
3461
def
43
ref
3458
remove
nil
cons
3462
def
cons
nil
cons
3463
def
cons
nil
cons
cons
3464
def
76
ref
subst
3464
remove
107
ref
subst
380
ref
1201
ref
refl
3465
def
1202
ref
1463
ref
35
ref
3155
ref
refl
3466
def
2366
remove
1674
ref
1561
remove
subst
appThm
1091
ref
1473
ref
subst
trans
appThm
nil
96
ref
3154
remove
nil
cons
cons
nil
cons
nil
cons
cons
1473
ref
subst
trans
absThm
appThm
1469
ref
trans
absThm
appThm
1474
remove
trans
appThm
386
ref
trans
sym
94
ref
eqMp
nil
25
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
1318
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
3467
def
nil
cons
cons
43
ref
291
ref
1364
ref
1858
ref
1345
ref
50
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
2393
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
3468
def
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
1504
ref
1366
ref
appTerm
2393
ref
appTerm
3469
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3470
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
1374
ref
292
ref
1858
ref
1345
ref
3468
remove
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
1504
remove
294
ref
appTerm
3471
def
2393
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
3472
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
3472
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
1301
ref
50
ref
3427
ref
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
3174
ref
3471
remove
1308
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3473
def
appTerm
3474
def
appTerm
3475
def
appTerm
3476
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
3476
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3440
ref
cons
43
ref
3475
remove
nil
cons
3477
def
cons
nil
cons
cons
nil
cons
cons
3478
def
76
ref
subst
3478
remove
107
ref
subst
77
ref
"_11031"
28
ref
var
3479
def
188
ref
3474
ref
appTerm
3480
def
3479
remove
varTerm
appTerm
absTerm
3481
def
3224
ref
1
ref
3
ref
191
ref
nil
cons
3482
def
cons
opType
constTerm
238
ref
35
ref
1440
ref
1669
ref
294
ref
appTerm
3483
def
appTerm
3484
def
absTerm
3485
def
appTerm
3486
def
appTerm
34
ref
2170
ref
3485
ref
appTerm
3487
def
appTerm
3426
ref
appTerm
3488
def
appTerm
3426
ref
appTerm
3489
def
appTerm
betaConv
appThm
153
ref
50
ref
3486
ref
appTerm
3490
def
refl
3491
def
3481
ref
3488
ref
appTerm
betaConv
appThm
appThm
50
ref
419
ref
3486
ref
appTerm
3492
def
appTerm
3493
def
refl
3494
def
3481
ref
3426
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
28
ref
var
3426
ref
nil
cons
3495
def
cons
"_482"
28
ref
var
3488
ref
nil
cons
cons
"_483"
3
ref
var
3496
def
3486
remove
nil
cons
3497
def
cons
nil
cons
cons
cons
nil
cons
cons
3498
def
nil
"_484"
29
ref
var
3499
def
3481
remove
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
nil
35
ref
"_482"
26
ref
var
varTerm
nil
cons
cons
2904
ref
3496
ref
varTerm
nil
cons
cons
175
ref
"_484"
164
remove
var
varTerm
nil
cons
cons
449
ref
"_485"
26
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
449
ref
52
ref
177
ref
3224
remove
1
ref
3
ref
1
ref
26
ref
1
ref
2415
remove
opType
3500
def
nil
cons
3501
def
cons
opType
nil
cons
cons
opType
constTerm
2912
ref
appTerm
36
ref
appTerm
454
ref
appTerm
appTerm
appTerm
66
ref
2951
ref
241
ref
appTerm
appTerm
50
ref
2917
remove
appTerm
1205
ref
appTerm
appTerm
appTerm
absTerm
3502
def
454
ref
appTerm
3503
def
betaConv
35
ref
166
ref
3502
ref
appTerm
3504
def
absTerm
3505
def
36
ref
appTerm
3506
def
betaConv
2904
ref
166
ref
3505
ref
appTerm
3507
def
absTerm
3508
def
2912
ref
appTerm
3509
def
betaConv
175
ref
159
ref
3508
ref
appTerm
3510
def
absTerm
3511
def
177
ref
appTerm
3512
def
betaConv
nil
354
ref
3511
ref
appTerm
3513
def
axiom
nil
25
ref
3513
remove
nil
cons
cons
43
ref
3512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
3511
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3510
remove
nil
cons
cons
43
ref
3509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3508
remove
nil
cons
cons
2979
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3507
remove
nil
cons
cons
43
ref
3506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3505
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3504
remove
nil
cons
cons
43
ref
3503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3502
remove
nil
cons
cons
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
3514
def
subst
3515
def
subst
subst
eqMp
sym
nil
25
ref
3497
ref
cons
3516
def
43
ref
3480
ref
3488
ref
appTerm
3517
def
nil
cons
3518
def
cons
nil
cons
3519
def
cons
nil
cons
cons
3520
def
76
ref
subst
3520
remove
107
ref
subst
3485
ref
3487
ref
appTerm
3521
def
betaConv
nil
3516
ref
43
ref
3521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
175
ref
3485
ref
nil
cons
3522
def
cons
nil
cons
nil
cons
3523
def
cons
2308
ref
subst
eqMp
eqMp
nil
25
ref
66
ref
422
ref
3487
ref
appTerm
39
ref
appTerm
appTerm
1436
ref
1418
ref
3487
ref
appTerm
appTerm
294
ref
appTerm
appTerm
nil
cons
cons
3519
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
1492
ref
50
ref
1496
remove
1624
remove
294
ref
appTerm
3524
def
appTerm
3525
def
appTerm
3526
def
3480
ref
34
remove
1493
ref
appTerm
3426
ref
appTerm
3527
def
appTerm
appTerm
absTerm
3528
def
3487
ref
appTerm
3529
def
betaConv
204
ref
1492
ref
3526
ref
refl
nil
141
ref
3527
remove
nil
cons
cons
38
ref
3474
remove
nil
cons
cons
nil
cons
3530
def
cons
nil
cons
cons
1527
ref
subst
204
ref
35
ref
77
ref
nil
175
ref
3473
ref
nil
cons
cons
nil
cons
nil
cons
cons
1537
ref
subst
3473
remove
36
ref
appTerm
betaConv
trans
1463
ref
443
ref
66
ref
459
ref
444
ref
appTerm
3531
def
appTerm
3532
def
refl
3533
def
1703
ref
refl
3534
def
nil
1347
ref
1364
ref
1481
ref
nil
cons
3535
def
cons
nil
cons
3536
def
cons
nil
cons
cons
1559
remove
subst
appThm
appThm
absThm
appThm
trans
appThm
3537
def
nil
38
ref
3495
ref
cons
3538
def
449
ref
1541
remove
cons
nil
cons
cons
nil
cons
cons
473
ref
subst
456
ref
459
remove
1493
ref
appTerm
3539
def
appTerm
3540
def
refl
nil
175
ref
3425
ref
nil
cons
cons
nil
cons
nil
cons
cons
1537
ref
subst
3425
remove
36
ref
appTerm
betaConv
trans
3541
def
appThm
trans
appThm
absThm
appThm
trans
appThm
absThm
appThm
sym
nil
167
ref
1492
ref
3526
remove
166
ref
35
ref
52
ref
238
ref
443
ref
3532
ref
1703
ref
456
ref
3202
ref
294
ref
appTerm
3542
def
appTerm
3543
def
3201
ref
appTerm
3544
def
appTerm
3545
def
appTerm
3546
def
absTerm
3547
def
appTerm
3548
def
appTerm
3540
remove
238
ref
443
ref
3532
remove
1703
ref
3201
ref
appTerm
3549
def
appTerm
3550
def
absTerm
3551
def
appTerm
3552
def
appTerm
3553
def
appTerm
3554
def
absTerm
3555
def
appTerm
3556
def
appTerm
3557
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
3557
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3525
remove
nil
cons
3558
def
cons
43
ref
3556
remove
nil
cons
3559
def
cons
nil
cons
cons
nil
cons
cons
3560
def
76
ref
subst
3560
remove
107
ref
subst
nil
1655
ref
110
ref
3524
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3561
def
122
ref
subst
3561
remove
139
ref
subst
nil
167
ref
3555
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3554
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3548
ref
nil
cons
3562
def
cons
43
ref
3553
ref
nil
cons
3563
def
cons
nil
cons
3564
def
cons
nil
cons
cons
140
ref
subst
nil
167
ref
443
ref
50
ref
3547
ref
444
ref
appTerm
3565
def
appTerm
3553
ref
appTerm
3566
def
absTerm
3567
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
3566
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3565
ref
nil
cons
3568
def
cons
3564
ref
cons
nil
cons
cons
3569
def
76
ref
subst
3569
remove
107
ref
subst
3565
ref
betaConv
3570
def
3565
remove
assume
eqMp
nil
25
ref
3546
remove
nil
cons
3571
def
cons
3564
ref
cons
nil
cons
cons
3572
def
135
ref
subst
proveHyp
3572
ref
76
ref
subst
3572
remove
107
ref
subst
nil
108
ref
3531
ref
nil
cons
3573
def
cons
3574
def
110
ref
3545
ref
nil
cons
cons
nil
cons
3575
def
cons
nil
cons
cons
3576
def
122
ref
subst
3576
remove
139
ref
subst
nil
2122
ref
110
ref
3544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3577
def
122
ref
subst
3578
def
3577
remove
139
ref
subst
3579
def
nil
25
ref
3201
ref
nil
cons
3580
def
cons
3581
def
3564
ref
cons
nil
cons
cons
3582
def
76
ref
subst
3582
remove
107
ref
subst
3551
ref
444
ref
appTerm
3583
def
betaConv
3584
def
sym
153
ref
458
ref
refl
3585
def
3531
remove
assume
appThm
3586
def
444
ref
refl
3587
def
appThm
3365
remove
1258
ref
subst
3588
def
trans
appThm
3589
def
153
ref
2120
ref
appThm
3590
def
nil
96
ref
3580
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3201
remove
assume
eqMp
3591
def
appThm
1044
ref
trans
3592
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
3551
remove
nil
cons
cons
3593
def
452
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
108
ref
3539
ref
nil
cons
3594
def
cons
3595
def
110
ref
3552
ref
nil
cons
cons
3596
def
nil
cons
cons
nil
cons
cons
3597
def
1660
remove
subst
proveHyp
eqMp
nil
108
ref
3580
ref
cons
3598
def
110
ref
3563
ref
cons
nil
cons
3599
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3542
ref
nil
cons
3600
def
cons
3601
def
3564
remove
cons
nil
cons
cons
3602
def
76
ref
subst
3602
remove
107
ref
subst
3586
remove
1493
ref
refl
3603
def
appThm
sym
3459
ref
444
ref
appTerm
3604
def
betaConv
nil
3461
remove
43
ref
3604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
3459
remove
nil
cons
cons
452
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
2111
ref
166
ref
449
ref
3448
ref
50
ref
3202
ref
3387
ref
appTerm
appTerm
3368
ref
appTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
476
ref
1493
ref
appTerm
3605
def
nil
cons
3606
def
cons
nil
cons
3607
def
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
2120
remove
appThm
204
ref
449
ref
3448
ref
refl
51
ref
1618
ref
3542
remove
assume
appThm
3608
def
3387
ref
refl
appThm
appThm
3368
ref
refl
appThm
appThm
absThm
appThm
appThm
nil
96
ref
166
ref
449
ref
3448
remove
50
ref
1441
ref
3387
ref
appTerm
appTerm
3368
remove
appTerm
appTerm
absTerm
3609
def
appTerm
nil
cons
3610
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
3605
ref
refl
3611
def
appThm
sym
nil
25
ref
3610
ref
cons
3612
def
3607
ref
cons
nil
cons
cons
3613
def
76
ref
subst
3613
remove
107
ref
subst
3609
ref
1493
ref
appTerm
3614
def
betaConv
nil
3612
remove
43
ref
3614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
3609
remove
nil
cons
cons
1542
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1814
ref
50
ref
1498
remove
appTerm
3605
remove
appTerm
appTerm
nil
cons
cons
3607
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
1627
remove
appThm
3615
def
51
ref
1441
ref
refl
3524
remove
assume
3616
def
appThm
nil
1812
ref
nil
cons
cons
3617
def
1614
ref
subst
3618
def
trans
appThm
3611
ref
appThm
nil
96
ref
3606
ref
cons
nil
cons
nil
cons
cons
3619
def
501
ref
subst
3620
def
trans
appThm
3620
remove
trans
appThm
3611
remove
appThm
3619
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
3610
remove
cons
110
ref
3606
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
3597
remove
1654
remove
subst
proveHyp
eqMp
nil
108
ref
3600
ref
cons
3621
def
3599
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
3621
ref
110
ref
3580
remove
cons
3622
def
612
ref
3563
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3571
remove
cons
3599
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3568
remove
cons
3599
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
3567
remove
appTerm
nil
cons
cons
43
ref
50
ref
3548
ref
appTerm
3553
ref
appTerm
nil
cons
3623
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3547
ref
nil
cons
cons
3624
def
3599
remove
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
3623
remove
cons
43
ref
50
ref
3553
remove
appTerm
3548
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
3563
ref
cons
43
ref
3562
ref
cons
nil
cons
3625
def
cons
nil
cons
cons
3626
def
76
ref
subst
3626
remove
107
ref
subst
nil
167
ref
443
ref
50
ref
3583
ref
appTerm
3548
ref
appTerm
3627
def
absTerm
3628
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
3627
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3583
ref
nil
cons
3629
def
cons
3625
ref
cons
nil
cons
cons
3630
def
76
ref
subst
3630
remove
107
ref
subst
3584
remove
3583
remove
assume
eqMp
nil
25
ref
3550
remove
nil
cons
3631
def
cons
3625
ref
cons
nil
cons
cons
3632
def
135
ref
subst
proveHyp
3632
ref
76
ref
subst
3632
remove
107
ref
subst
nil
3574
remove
110
ref
3549
ref
nil
cons
cons
nil
cons
3633
def
cons
nil
cons
cons
3634
def
122
ref
subst
3634
remove
139
ref
subst
nil
2122
ref
3622
ref
nil
cons
cons
nil
cons
cons
3635
def
122
ref
subst
3636
def
3635
remove
139
ref
subst
3637
def
3570
remove
sym
3589
remove
3590
ref
3543
remove
refl
3591
ref
appThm
nil
96
ref
3600
remove
cons
nil
cons
nil
cons
cons
1700
ref
subst
trans
appThm
1044
ref
trans
3638
def
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
3624
ref
452
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3631
remove
cons
110
ref
3562
ref
cons
nil
cons
3639
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3629
remove
cons
3639
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
3628
remove
appTerm
nil
cons
cons
43
ref
50
ref
3552
remove
appTerm
3548
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
3593
remove
3639
ref
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
3594
remove
cons
3625
remove
cons
nil
cons
cons
3640
def
76
ref
subst
3640
remove
107
ref
subst
3547
remove
1493
ref
appTerm
betaConv
sym
153
ref
3585
ref
3539
ref
assume
appThm
3603
ref
appThm
1850
remove
trans
appThm
1628
remove
1255
ref
1618
ref
3616
ref
appThm
2314
ref
appThm
3618
ref
trans
appThm
1365
ref
refl
3641
def
3616
remove
appThm
2392
ref
appThm
appThm
1875
remove
595
ref
subst
trans
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
3624
remove
1542
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
3595
ref
3639
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
3595
remove
3596
remove
612
ref
3562
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
3563
remove
cons
3639
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
3558
remove
cons
110
ref
3559
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
166
ref
3528
ref
appTerm
nil
cons
cons
43
ref
3529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3528
remove
nil
cons
cons
35
ref
3487
remove
nil
cons
cons
nil
cons
3642
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
3497
ref
cons
3643
def
110
ref
3518
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3490
ref
3517
remove
appTerm
nil
cons
cons
43
ref
3493
ref
3480
ref
3426
ref
appTerm
3644
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
3492
remove
nil
cons
3645
def
cons
3646
def
43
ref
3644
remove
nil
cons
3647
def
cons
nil
cons
cons
nil
cons
cons
3648
def
76
ref
subst
3648
remove
107
ref
subst
nil
141
ref
3495
remove
cons
3530
remove
cons
nil
cons
cons
1527
ref
subst
204
ref
35
ref
3537
remove
3541
ref
appThm
absThm
appThm
trans
sym
nil
167
ref
1492
ref
52
ref
238
ref
443
ref
66
ref
1571
remove
444
ref
appTerm
3649
def
appTerm
3650
def
3545
remove
appTerm
3651
def
absTerm
3652
def
appTerm
3653
def
appTerm
238
ref
443
ref
3650
ref
3549
remove
appTerm
3654
def
absTerm
3655
def
appTerm
3656
def
appTerm
3657
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
3657
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3653
ref
nil
cons
3658
def
cons
43
ref
3656
ref
nil
cons
3659
def
cons
nil
cons
3660
def
cons
nil
cons
cons
140
ref
subst
nil
167
ref
443
ref
50
ref
3652
ref
444
ref
appTerm
3661
def
appTerm
3656
ref
appTerm
3662
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
3662
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3661
ref
nil
cons
3663
def
cons
3660
ref
cons
nil
cons
cons
3664
def
76
ref
subst
3664
remove
107
ref
subst
3661
ref
betaConv
3665
def
3661
remove
assume
eqMp
nil
25
ref
3651
remove
nil
cons
3666
def
cons
3660
ref
cons
nil
cons
cons
3667
def
135
ref
subst
proveHyp
3667
ref
76
ref
subst
3667
remove
107
ref
subst
nil
108
ref
3649
ref
nil
cons
cons
3668
def
3575
remove
cons
nil
cons
cons
3669
def
122
ref
subst
3669
remove
139
ref
subst
3578
remove
3579
remove
nil
3581
remove
3660
ref
cons
nil
cons
cons
3670
def
76
ref
subst
3670
remove
107
ref
subst
3655
ref
444
ref
appTerm
3671
def
betaConv
3672
def
sym
3673
def
153
ref
3585
ref
3649
remove
assume
appThm
3674
def
3587
remove
appThm
3588
ref
trans
appThm
3675
def
3592
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
3655
ref
nil
cons
cons
3676
def
452
ref
cons
nil
cons
cons
266
ref
subst
3677
def
proveHyp
eqMp
nil
3598
remove
110
ref
3659
ref
cons
nil
cons
3678
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
3601
remove
3660
ref
cons
nil
cons
cons
3679
def
76
ref
subst
3679
remove
107
ref
subst
nil
3646
ref
510
ref
cons
nil
cons
cons
135
ref
subst
nil
96
ref
3645
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
nil
96
ref
3497
remove
cons
nil
cons
nil
cons
cons
2448
ref
subst
trans
sym
3485
ref
444
ref
appTerm
betaConv
sym
3590
ref
3608
remove
2314
ref
appThm
3618
remove
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
3522
remove
cons
452
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
nil
108
ref
3659
ref
cons
nil
cons
nil
cons
cons
535
remove
subst
proveHyp
eqMp
nil
3621
ref
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
3621
remove
3622
remove
612
ref
3659
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3666
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3663
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
35
ref
50
ref
3652
ref
36
ref
appTerm
appTerm
3656
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
3653
ref
appTerm
3656
ref
appTerm
nil
cons
3680
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3652
remove
nil
cons
cons
3681
def
3678
ref
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
3680
remove
cons
43
ref
50
ref
3656
ref
appTerm
3682
def
3653
ref
appTerm
nil
cons
cons
nil
cons
3683
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
443
ref
50
ref
3671
ref
appTerm
3684
def
3653
ref
appTerm
3685
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
3685
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3671
ref
nil
cons
3686
def
cons
3687
def
43
ref
3658
ref
cons
nil
cons
3688
def
cons
nil
cons
cons
3689
def
76
ref
subst
3689
remove
107
ref
subst
3672
remove
3671
remove
assume
eqMp
3690
def
nil
25
ref
3654
remove
nil
cons
3691
def
cons
3692
def
3688
remove
cons
nil
cons
cons
3693
def
135
ref
subst
proveHyp
3693
ref
76
ref
subst
3693
remove
107
ref
subst
nil
3668
ref
3633
remove
cons
nil
cons
cons
3694
def
122
ref
subst
3695
def
3694
remove
139
ref
subst
3696
def
3636
ref
3637
ref
3665
remove
sym
3675
ref
3638
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
3681
remove
452
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
3691
remove
cons
3697
def
110
ref
3658
remove
cons
nil
cons
3698
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
3686
remove
cons
3699
def
3698
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
35
ref
50
ref
3655
remove
36
ref
appTerm
appTerm
3700
def
3653
remove
appTerm
absTerm
appTerm
nil
cons
cons
3683
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
3676
ref
3698
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
108
ref
3645
remove
cons
3701
def
110
ref
3647
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
380
ref
3480
remove
3489
ref
appTerm
assume
appThm
sym
77
ref
"_11038"
28
ref
var
3702
def
30
ref
3702
remove
varTerm
appTerm
absTerm
3703
def
3489
remove
appTerm
betaConv
appThm
153
ref
3491
remove
3703
ref
3488
ref
appTerm
betaConv
appThm
appThm
3494
remove
3703
ref
3426
ref
appTerm
betaConv
3704
def
appThm
appThm
appThm
3498
remove
nil
3499
remove
3703
remove
nil
cons
cons
nil
cons
nil
cons
cons
3515
remove
subst
subst
eqMp
sym
nil
3516
remove
43
ref
30
ref
3488
remove
appTerm
3705
def
nil
cons
3706
def
cons
nil
cons
cons
nil
cons
cons
3707
def
76
ref
subst
3707
remove
107
ref
subst
nil
3538
ref
3642
remove
cons
nil
cons
cons
756
remove
subst
nil
96
ref
3440
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3427
ref
assume
3708
def
eqMp
trans
sym
94
ref
eqMp
eqMp
nil
3643
remove
110
ref
3706
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3490
remove
3705
remove
appTerm
nil
cons
cons
43
ref
3493
remove
3427
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
3646
remove
43
ref
3440
ref
cons
nil
cons
3709
def
cons
nil
cons
cons
3710
def
76
ref
subst
3710
remove
107
ref
subst
3708
remove
eqMp
nil
3701
remove
110
ref
3440
ref
cons
nil
cons
3711
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
3440
remove
cons
110
ref
3477
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
3467
remove
appTerm
3470
remove
appTerm
nil
cons
cons
3463
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
1301
ref
3427
ref
absTerm
3712
def
1318
remove
appTerm
betaConv
appThm
1529
ref
1364
ref
1936
ref
1345
ref
51
ref
3712
ref
2393
ref
appTerm
betaConv
appThm
3712
ref
3469
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1936
ref
1301
ref
3446
remove
refl
3712
ref
1308
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
"p"
1313
ref
var
3713
def
3712
remove
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
708
ref
subst
subst
eqMp
eqMp
eqMp
nil
108
ref
3460
remove
cons
110
ref
3462
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
3714
def
nil
25
ref
1858
ref
3433
ref
appTerm
3715
def
nil
cons
3716
def
cons
3717
def
43
ref
3434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
3433
ref
nil
cons
cons
3718
def
1873
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3432
remove
nil
cons
cons
43
ref
3430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3429
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
3421
ref
cons
46
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
380
ref
nil
1728
ref
38
ref
3419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1527
ref
subst
204
ref
35
ref
77
ref
77
ref
423
ref
refl
3719
def
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
35
ref
3418
ref
absTerm
3720
def
36
ref
appTerm
betaConv
3721
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3721
remove
appThm
nil
175
ref
3720
remove
nil
cons
cons
nil
cons
nil
cons
cons
1214
ref
subst
eqMp
appThm
1671
ref
appThm
absThm
appThm
trans
sym
nil
167
ref
35
ref
52
ref
3418
remove
appTerm
434
ref
appTerm
3722
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3722
remove
nil
cons
3723
def
cons
nil
cons
nil
cons
cons
102
ref
subst
35
ref
435
ref
3417
ref
appTerm
3724
def
absTerm
3725
def
36
ref
appTerm
3726
def
betaConv
38
ref
166
ref
3725
ref
appTerm
3727
def
absTerm
3728
def
39
ref
appTerm
3729
def
betaConv
1417
ref
200
ref
3728
ref
appTerm
3730
def
absTerm
3731
def
1418
ref
appTerm
3732
def
betaConv
nil
1430
ref
3731
ref
appTerm
3733
def
axiom
nil
25
ref
3733
remove
nil
cons
cons
43
ref
3732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
3731
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3730
remove
nil
cons
cons
43
ref
3729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3728
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3727
remove
nil
cons
cons
43
ref
3726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3725
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3734
def
nil
25
ref
3724
remove
nil
cons
cons
43
ref
3723
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
541
ref
3417
remove
nil
cons
3735
def
cons
1102
remove
cons
nil
cons
cons
nil
546
ref
43
ref
50
ref
50
ref
542
ref
appTerm
3736
def
548
ref
appTerm
appTerm
52
ref
66
ref
542
ref
appTerm
548
ref
appTerm
appTerm
3737
def
542
ref
appTerm
appTerm
3738
def
nil
cons
3739
def
cons
nil
cons
3740
def
cons
nil
cons
cons
3741
def
76
ref
subst
3741
remove
107
ref
subst
52
ref
"_11048"
3
ref
var
3742
def
50
ref
50
ref
3742
remove
varTerm
3743
def
appTerm
548
ref
appTerm
appTerm
52
ref
66
ref
3743
ref
appTerm
548
ref
appTerm
appTerm
3743
remove
appTerm
appTerm
absTerm
3744
def
542
ref
appTerm
appTerm
refl
3745
def
3744
ref
15
ref
appTerm
betaConv
appThm
77
ref
20
ref
3738
remove
absTerm
542
ref
appTerm
betaConv
appThm
3746
def
50
ref
529
ref
548
ref
appTerm
appTerm
52
ref
1464
ref
548
ref
appTerm
3747
def
appTerm
3748
def
15
ref
appTerm
appTerm
refl
appThm
trans
3744
remove
refl
3749
def
561
ref
appThm
eqMp
sym
51
ref
601
remove
appThm
nil
96
ref
3747
remove
nil
cons
cons
nil
cons
nil
cons
cons
96
ref
52
ref
603
remove
appTerm
513
remove
appTerm
absTerm
3750
def
99
remove
appTerm
3751
def
betaConv
nil
159
ref
3750
ref
appTerm
3752
def
axiom
nil
25
ref
3752
remove
nil
cons
cons
43
ref
3751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3750
remove
nil
cons
cons
163
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3753
def
subst
518
ref
563
ref
1468
ref
subst
3754
def
appThm
539
ref
trans
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
577
ref
110
ref
3739
ref
cons
nil
cons
3755
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
581
ref
3740
remove
cons
nil
cons
cons
3756
def
76
ref
subst
3756
remove
107
ref
subst
3745
remove
"_11046"
3
ref
var
3757
def
50
ref
50
ref
3757
remove
varTerm
3758
def
appTerm
548
ref
appTerm
appTerm
52
ref
66
ref
3758
ref
appTerm
548
ref
appTerm
appTerm
3758
remove
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
3746
remove
50
ref
497
ref
548
ref
appTerm
appTerm
52
ref
155
ref
548
ref
appTerm
3759
def
appTerm
3760
def
14
ref
appTerm
appTerm
refl
appThm
trans
3749
remove
588
ref
appThm
eqMp
sym
51
ref
596
remove
appThm
nil
96
ref
3759
remove
nil
cons
cons
nil
cons
nil
cons
cons
2826
remove
subst
563
ref
186
ref
subst
3761
def
trans
appThm
574
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
602
ref
3755
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
610
ref
nil
602
ref
611
ref
612
ref
3739
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
absThm
eqMp
eqMp
appThm
nil
25
ref
52
ref
3420
ref
appTerm
44
ref
appTerm
nil
cons
cons
43
ref
50
ref
3420
remove
appTerm
44
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
ref
45
remove
cons
3762
def
2906
ref
3421
remove
cons
nil
cons
cons
nil
cons
cons
2905
ref
50
ref
52
ref
2914
ref
appTerm
3763
def
2907
ref
appTerm
3764
def
appTerm
3765
def
50
ref
2914
ref
appTerm
3766
def
2907
ref
appTerm
3767
def
appTerm
absTerm
3768
def
2907
ref
appTerm
3769
def
betaConv
2906
ref
159
ref
3768
ref
appTerm
3770
def
absTerm
3771
def
2914
ref
appTerm
3772
def
betaConv
nil
159
ref
3771
ref
appTerm
3773
def
axiom
nil
25
ref
3773
remove
nil
cons
cons
43
ref
3772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3771
remove
nil
cons
cons
20
ref
2932
remove
cons
nil
cons
3774
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3770
remove
nil
cons
cons
43
ref
3769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
3768
remove
nil
cons
cons
2985
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3775
def
subst
eqMp
eqMp
eqMp
nil
108
ref
3414
remove
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
3406
remove
cons
43
ref
1422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
1794
ref
eqMp
eqMp
eqMp
nil
108
ref
3396
ref
cons
110
ref
3400
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
3776
def
subst
subst
eqMp
nil
25
ref
3386
remove
cons
43
ref
50
ref
3346
remove
appTerm
44
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3762
remove
2906
ref
3347
remove
cons
nil
cons
cons
nil
cons
cons
3775
remove
subst
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
3147
ref
cons
389
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
3143
remove
appTerm
44
ref
appTerm
nil
cons
cons
43
ref
3146
remove
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
3256
ref
eqMp
eqMp
eqMp
absThm
eqMp
nil
200
ref
3259
remove
appTerm
thm
77
ref
380
ref
nil
188
ref
"Set.bigUnion"
const
3777
def
1
ref
3133
ref
31
ref
cons
opType
3778
def
constTerm
3779
def
16
remove
3133
ref
constTerm
3780
def
appTerm
3781
def
appTerm
193
ref
appTerm
axiom
3782
def
appThm
386
ref
trans
appThm
205
ref
141
ref
51
ref
nil
234
ref
nil
cons
cons
3783
def
345
ref
838
ref
subst
3784
def
subst
appThm
656
ref
appThm
1745
remove
600
ref
subst
trans
absThm
appThm
1746
ref
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
nil
25
ref
52
ref
30
ref
3781
ref
appTerm
appTerm
200
ref
141
ref
50
ref
3270
ref
142
ref
appTerm
3785
def
3780
ref
appTerm
appTerm
3786
def
143
ref
appTerm
absTerm
appTerm
appTerm
3787
def
nil
cons
cons
43
ref
200
ref
219
ref
3354
ref
3264
ref
50
ref
52
ref
30
ref
3779
ref
3348
ref
appTerm
3788
def
appTerm
3789
def
appTerm
3790
def
200
ref
141
ref
50
ref
3785
ref
3348
ref
appTerm
3791
def
appTerm
3792
def
143
ref
appTerm
3793
def
absTerm
3794
def
appTerm
3795
def
appTerm
3796
def
appTerm
52
ref
30
ref
3779
ref
12
remove
1
ref
28
ref
1
ref
3133
ref
3136
ref
cons
opType
nil
cons
cons
opType
constTerm
3797
def
734
ref
appTerm
3348
ref
appTerm
3798
def
appTerm
3799
def
appTerm
appTerm
200
ref
141
ref
50
ref
3785
ref
3798
ref
appTerm
appTerm
3800
def
143
ref
appTerm
absTerm
appTerm
appTerm
3801
def
appTerm
3802
def
absTerm
3803
def
appTerm
3804
def
absTerm
3805
def
appTerm
3806
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
3805
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
219
ref
nil
96
ref
3804
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3358
ref
3803
remove
nil
cons
cons
nil
cons
nil
cons
cons
3357
ref
23
ref
cons
3807
def
252
ref
subst
3808
def
subst
3264
ref
nil
96
ref
3802
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3796
ref
nil
cons
3809
def
cons
43
ref
3801
remove
nil
cons
3810
def
cons
nil
cons
cons
nil
cons
cons
3811
def
76
ref
subst
3811
remove
107
ref
subst
77
ref
380
ref
nil
"u"
3133
ref
var
3812
def
3360
remove
cons
38
ref
734
ref
nil
cons
3813
def
cons
nil
cons
3814
def
cons
nil
cons
cons
3815
def
3812
ref
188
ref
3779
ref
3797
remove
39
ref
appTerm
3816
def
3812
ref
varTerm
3817
def
appTerm
3818
def
appTerm
appTerm
1544
ref
3779
ref
3817
ref
appTerm
appTerm
appTerm
absTerm
3819
def
3817
ref
appTerm
3820
def
betaConv
38
ref
3354
ref
3819
ref
appTerm
3821
def
absTerm
3822
def
39
ref
appTerm
3823
def
betaConv
nil
200
ref
3822
ref
appTerm
3824
def
axiom
nil
25
ref
3824
remove
nil
cons
cons
43
ref
3823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
3822
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3821
remove
nil
cons
cons
43
ref
3820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
3819
remove
nil
cons
cons
3359
ref
3817
ref
nil
cons
cons
nil
cons
3825
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
3826
def
appThm
nil
141
ref
3788
ref
nil
cons
3827
def
cons
3814
ref
cons
nil
cons
cons
3828
def
1782
remove
subst
trans
appThm
205
ref
141
ref
51
ref
nil
"y"
28
ref
var
3829
def
3813
ref
cons
3830
def
234
ref
cons
nil
cons
cons
345
ref
473
ref
subst
3831
def
subst
appThm
656
ref
appThm
absThm
appThm
appThm
sym
77
ref
66
ref
30
ref
734
ref
appTerm
3832
def
appTerm
3833
def
refl
3796
ref
assume
appThm
appThm
200
ref
141
ref
50
ref
456
ref
188
ref
142
ref
appTerm
3834
def
734
ref
appTerm
3835
def
appTerm
3836
def
3791
ref
appTerm
3837
def
appTerm
143
ref
appTerm
3838
def
absTerm
3839
def
appTerm
3840
def
refl
appThm
sym
nil
25
ref
3833
remove
3795
ref
appTerm
3841
def
nil
cons
3842
def
cons
43
ref
3840
ref
nil
cons
3843
def
cons
nil
cons
cons
nil
cons
cons
3844
def
140
ref
subst
3844
ref
76
ref
subst
3844
remove
107
ref
subst
nil
108
ref
3832
ref
nil
cons
3845
def
cons
110
ref
3795
ref
nil
cons
3846
def
cons
nil
cons
cons
nil
cons
cons
3847
def
122
ref
subst
3847
remove
139
ref
subst
nil
218
ref
3839
ref
nil
cons
cons
3848
def
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
3838
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3837
remove
nil
cons
3849
def
cons
417
ref
cons
nil
cons
cons
3850
def
76
ref
subst
3850
ref
107
ref
subst
3794
ref
142
ref
appTerm
3851
def
betaConv
nil
25
ref
3846
ref
cons
43
ref
3851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
3794
ref
nil
cons
cons
3852
def
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3835
ref
nil
cons
3853
def
cons
417
ref
cons
nil
cons
cons
3854
def
76
ref
subst
3854
remove
107
ref
subst
52
ref
"_11023"
28
ref
var
3855
def
30
ref
3855
remove
varTerm
appTerm
absTerm
3856
def
142
ref
appTerm
3857
def
appTerm
refl
3856
ref
734
ref
appTerm
betaConv
appThm
77
ref
3857
remove
betaConv
appThm
3832
ref
refl
appThm
trans
3856
remove
refl
3858
def
3835
remove
assume
appThm
eqMp
sym
3832
remove
assume
eqMp
eqMp
nil
108
ref
3853
ref
cons
3859
def
633
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
3859
remove
110
ref
3791
ref
nil
cons
3860
def
cons
689
remove
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
3849
remove
cons
633
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
3842
ref
cons
110
ref
3843
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
3841
ref
appTerm
3840
ref
appTerm
nil
cons
cons
43
ref
50
ref
3840
remove
appTerm
3841
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
3843
ref
cons
3861
def
43
ref
3842
ref
cons
nil
cons
cons
nil
cons
cons
3862
def
76
ref
subst
3862
remove
107
ref
subst
1255
ref
2400
ref
appThm
3271
ref
3348
ref
appTerm
3863
def
refl
appThm
nil
96
ref
3863
ref
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
sym
94
ref
eqMp
nil
25
ref
456
ref
188
ref
734
ref
appTerm
3864
def
734
ref
appTerm
appTerm
3863
ref
appTerm
nil
cons
cons
43
ref
3845
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
141
ref
3813
ref
cons
nil
cons
nil
cons
cons
3839
remove
142
ref
appTerm
3865
def
betaConv
nil
3861
remove
43
ref
3865
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
3848
remove
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3866
def
subst
eqMp
nil
25
ref
3845
remove
cons
43
ref
3846
ref
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
3852
remove
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
3793
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3860
ref
cons
3867
def
417
remove
cons
nil
cons
cons
3868
def
76
ref
subst
3868
remove
107
ref
subst
3836
remove
refl
nil
96
ref
3860
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3791
ref
assume
eqMp
3869
def
appThm
nil
96
ref
3853
remove
cons
nil
cons
nil
cons
cons
1700
ref
subst
trans
sym
94
ref
eqMp
3850
remove
135
ref
subst
proveHyp
3866
remove
eqMp
eqMp
nil
108
ref
3860
remove
cons
3870
def
633
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
108
ref
3843
remove
cons
110
ref
3842
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
3809
ref
cons
110
ref
3810
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
3787
remove
appTerm
3806
remove
appTerm
nil
cons
cons
43
ref
3354
ref
3264
ref
50
ref
3350
ref
appTerm
3871
def
3796
ref
appTerm
3872
def
absTerm
3873
def
appTerm
3874
def
nil
cons
3875
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
3264
ref
3796
remove
absTerm
3876
def
3780
ref
appTerm
betaConv
appThm
205
ref
219
ref
3354
ref
refl
3877
def
3264
ref
51
ref
3876
ref
3348
ref
appTerm
betaConv
3878
def
appThm
3876
ref
3798
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3877
ref
3264
ref
3871
remove
refl
3878
remove
appThm
absThm
appThm
appThm
nil
"p"
3134
remove
var
3879
def
3876
remove
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
708
remove
subst
3880
def
subst
eqMp
eqMp
3881
def
nil
3874
remove
thm
nil
3358
ref
3264
ref
3790
ref
66
ref
3350
ref
appTerm
3882
def
3795
remove
appTerm
appTerm
3883
def
absTerm
3884
def
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
3264
ref
nil
96
ref
3883
remove
nil
cons
3885
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
419
ref
3350
ref
appTerm
nil
cons
3886
def
cons
3887
def
43
ref
3885
ref
cons
nil
cons
3888
def
cons
nil
cons
cons
3889
def
76
ref
subst
3889
remove
107
ref
subst
3790
remove
refl
3890
def
153
ref
nil
3887
ref
43
ref
52
ref
3350
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
3350
ref
nil
cons
3891
def
cons
3892
def
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
205
ref
3794
remove
refl
appThm
3893
def
appThm
nil
96
ref
3846
remove
cons
nil
cons
nil
cons
cons
3894
def
1468
ref
subst
trans
appThm
nil
96
ref
3789
ref
nil
cons
3895
def
cons
nil
cons
nil
cons
cons
3753
ref
subst
trans
sym
nil
3887
remove
43
ref
419
ref
3789
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
2766
ref
3895
ref
cons
2767
ref
3891
ref
cons
nil
cons
cons
nil
cons
cons
2783
remove
subst
sym
nil
25
ref
3895
ref
cons
3896
def
43
ref
3891
ref
cons
nil
cons
3897
def
cons
nil
cons
cons
3898
def
76
ref
subst
3898
remove
107
ref
subst
3262
ref
66
ref
3135
ref
3262
ref
varTerm
3899
def
appTerm
appTerm
3349
ref
3899
ref
appTerm
appTerm
absTerm
3900
def
3137
ref
3138
ref
267
ref
141
ref
3140
ref
411
ref
3788
ref
appTerm
3901
def
appTerm
absTerm
appTerm
absTerm
appTerm
3902
def
appTerm
betaConv
sym
nil
3896
remove
43
ref
3135
ref
3902
ref
appTerm
nil
cons
3903
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
38
ref
3827
remove
cons
nil
cons
nil
cons
cons
3256
remove
subst
eqMp
nil
25
ref
3903
remove
cons
43
ref
3349
remove
3902
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
3262
ref
3902
remove
nil
cons
3904
def
cons
nil
cons
nil
cons
cons
3269
ref
subst
205
ref
219
ref
50
ref
3863
remove
appTerm
3905
def
refl
77
ref
3271
ref
refl
3906
def
3301
ref
3138
ref
2486
ref
141
ref
3302
ref
141
ref
3901
remove
absTerm
3907
def
142
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3907
ref
734
ref
appTerm
betaConv
appThm
nil
694
ref
3907
remove
nil
cons
cons
nil
cons
nil
cons
cons
3305
ref
subst
eqMp
3828
remove
442
ref
subst
trans
204
ref
35
ref
50
ref
423
ref
734
ref
appTerm
appTerm
refl
35
ref
52
ref
423
ref
3788
ref
appTerm
appTerm
267
ref
141
ref
66
ref
3791
remove
appTerm
424
ref
appTerm
absTerm
3908
def
appTerm
3909
def
appTerm
absTerm
3910
def
36
ref
appTerm
3911
def
betaConv
3264
ref
166
ref
3910
ref
appTerm
3912
def
absTerm
3913
def
3348
ref
appTerm
3914
def
betaConv
nil
3354
ref
3913
ref
appTerm
3915
def
axiom
nil
25
ref
3915
remove
nil
cons
cons
43
ref
3914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
3913
remove
nil
cons
cons
3361
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3912
remove
nil
cons
cons
43
ref
3911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3910
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3916
def
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
218
ref
141
ref
3792
ref
166
ref
35
ref
485
remove
3909
ref
appTerm
3917
def
absTerm
3918
def
appTerm
3919
def
appTerm
3920
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
3920
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3867
remove
43
ref
3919
remove
nil
cons
3921
def
cons
nil
cons
cons
nil
cons
cons
3922
def
76
ref
subst
3922
remove
107
ref
subst
nil
167
ref
3918
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3917
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
634
ref
43
ref
3909
remove
nil
cons
3923
def
cons
nil
cons
cons
nil
cons
cons
3924
def
76
ref
subst
3924
remove
107
ref
subst
3908
ref
142
ref
appTerm
betaConv
sym
153
ref
3869
remove
appThm
654
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
3908
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
522
remove
110
ref
3923
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
3870
remove
110
ref
3921
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
3357
ref
3358
ref
3900
ref
nil
cons
cons
3359
ref
3904
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
237
ref
3353
remove
constTerm
3925
def
3900
remove
appTerm
nil
cons
cons
3897
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
345
ref
755
ref
subst
eqMp
eqMp
nil
108
ref
3895
remove
cons
110
ref
3891
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
3886
ref
cons
110
ref
3885
ref
cons
nil
cons
3926
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3891
ref
cons
3927
def
3888
ref
cons
nil
cons
cons
3928
def
76
ref
subst
3928
remove
107
ref
subst
3873
ref
3348
ref
appTerm
3929
def
betaConv
3881
remove
nil
25
ref
3875
remove
cons
43
ref
3929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
3873
remove
nil
cons
cons
3361
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
3930
def
nil
25
ref
3872
remove
nil
cons
cons
3888
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
nil
3927
remove
43
ref
3809
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
appThm
3890
remove
153
ref
nil
96
ref
3891
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3350
ref
assume
eqMp
appThm
3893
remove
appThm
3894
remove
186
ref
subst
trans
appThm
appThm
nil
96
ref
3809
remove
cons
nil
cons
nil
cons
cons
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
3892
ref
3926
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
3350
remove
appTerm
3931
def
betaConv
686
ref
nil
687
ref
43
ref
3931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
3891
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
3892
remove
110
ref
3886
remove
cons
612
ref
3885
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
3932
def
eqMp
absThm
eqMp
nil
3354
ref
3884
remove
appTerm
thm
nil
218
ref
38
ref
354
ref
175
ref
673
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
241
ref
appTerm
3933
def
appTerm
absTerm
appTerm
absTerm
appTerm
3934
def
appTerm
3935
def
appTerm
3936
def
absTerm
3937
def
appTerm
3938
def
absTerm
3939
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3938
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
362
ref
3937
remove
nil
cons
cons
nil
cons
nil
cons
cons
361
ref
23
ref
cons
252
ref
subst
subst
175
ref
nil
96
ref
3936
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1111
ref
43
ref
3935
remove
nil
cons
3940
def
cons
nil
cons
3941
def
cons
nil
cons
cons
3942
def
76
ref
subst
3942
remove
107
ref
subst
141
ref
144
ref
148
ref
3934
ref
appTerm
3943
def
142
ref
appTerm
appTerm
absTerm
3944
def
39
ref
appTerm
betaConv
sym
1064
ref
nil
1728
ref
38
ref
3934
remove
nil
cons
cons
nil
cons
3945
def
cons
nil
cons
cons
442
ref
subst
204
ref
35
ref
51
ref
77
ref
3719
ref
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
35
ref
3933
ref
absTerm
3946
def
36
ref
appTerm
betaConv
3947
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3947
remove
appThm
nil
175
ref
3946
remove
nil
cons
cons
nil
cons
nil
cons
cons
1214
ref
subst
eqMp
appThm
1671
ref
appThm
absThm
appThm
trans
appThm
nil
96
ref
166
ref
35
ref
50
ref
3933
ref
appTerm
434
ref
appTerm
3948
def
absTerm
3949
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
167
ref
3949
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
3948
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3933
remove
nil
cons
3950
def
cons
43
ref
1073
ref
cons
nil
cons
cons
nil
cons
cons
3951
def
76
ref
subst
3951
remove
107
ref
subst
nil
1074
ref
110
ref
2209
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
eqMp
nil
108
ref
3950
remove
cons
110
ref
1073
remove
cons
nil
cons
3952
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
217
ref
218
ref
3944
ref
nil
cons
cons
221
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
3944
remove
appTerm
nil
cons
cons
3941
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3945
remove
nil
cons
cons
755
ref
subst
eqMp
eqMp
nil
1057
ref
110
ref
3940
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
3953
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
3939
remove
appTerm
thm
nil
218
ref
38
ref
1858
ref
1301
ref
1326
remove
absTerm
3954
def
appTerm
3955
def
absTerm
3956
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3955
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
3954
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
1327
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
2403
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
3956
remove
appTerm
thm
2722
remove
nil
2723
remove
thm
nil
1454
ref
1417
ref
50
ref
166
ref
35
ref
166
ref
449
ref
3449
remove
absTerm
3957
def
appTerm
3958
def
absTerm
3959
def
appTerm
3960
def
appTerm
200
ref
38
ref
52
ref
2421
remove
1420
ref
appTerm
3961
def
appTerm
772
ref
appTerm
3962
def
absTerm
3963
def
appTerm
3964
def
appTerm
3965
def
absTerm
3966
def
nil
cons
cons
nil
cons
nil
cons
cons
1788
ref
252
ref
subst
3967
def
subst
1417
ref
nil
96
ref
3965
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3960
ref
nil
cons
3968
def
cons
3969
def
43
ref
3964
remove
nil
cons
3970
def
cons
nil
cons
cons
nil
cons
cons
3971
def
76
ref
subst
3971
remove
107
ref
subst
nil
218
ref
3963
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
3962
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
77
ref
nil
1345
ref
3422
ref
cons
3972
def
nil
cons
3973
def
nil
cons
cons
3974
def
2430
remove
subst
3975
def
appThm
777
ref
appThm
sym
518
ref
nil
167
ref
3394
ref
nil
cons
cons
3976
def
nil
cons
nil
cons
cons
3977
def
252
ref
subst
35
ref
nil
96
ref
3393
remove
nil
cons
3978
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
3392
ref
nil
cons
cons
3979
def
nil
cons
nil
cons
cons
3980
def
252
ref
subst
449
ref
nil
96
ref
3391
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
3981
def
nil
25
ref
3390
ref
nil
cons
3982
def
cons
3378
ref
cons
nil
cons
cons
3983
def
76
ref
subst
3983
ref
107
ref
subst
nil
1074
ref
110
ref
3442
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
nil
3381
ref
110
ref
3443
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
nil
25
ref
3443
ref
cons
3378
ref
cons
nil
cons
cons
3984
def
135
ref
subst
3957
ref
454
ref
appTerm
3985
def
betaConv
3959
ref
36
ref
appTerm
3986
def
betaConv
nil
3969
remove
43
ref
3986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
3959
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3958
remove
nil
cons
cons
43
ref
3985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
3957
remove
nil
cons
cons
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
3982
remove
cons
3385
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3401
ref
135
ref
subst
proveHyp
3776
ref
eqMp
appThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
3968
remove
cons
110
ref
3970
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
1430
ref
3966
remove
appTerm
thm
nil
1454
ref
1417
ref
1783
remove
absTerm
3987
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
1784
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
1787
remove
eqMp
absThm
eqMp
nil
1430
ref
3987
remove
appTerm
thm
nil
25
ref
1430
ref
1417
ref
200
ref
38
ref
3398
ref
267
ref
141
ref
144
ref
66
ref
3141
ref
appTerm
3988
def
1433
ref
1419
ref
142
ref
appTerm
3989
def
appTerm
3990
def
appTerm
3991
def
appTerm
3992
def
absTerm
3993
def
appTerm
3994
def
appTerm
absTerm
3995
def
appTerm
absTerm
3996
def
appTerm
3997
def
nil
cons
cons
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
3997
ref
appTerm
3998
def
nil
cons
3999
def
cons
4000
def
510
ref
cons
nil
cons
cons
4001
def
76
ref
subst
4001
remove
107
ref
subst
1352
ref
nil
1454
ref
1417
ref
200
ref
38
ref
1858
ref
1301
ref
52
ref
3243
ref
1886
ref
1420
ref
appTerm
4002
def
appTerm
4003
def
appTerm
267
ref
392
ref
66
ref
396
ref
appTerm
4004
def
66
ref
395
ref
appTerm
4005
def
1317
ref
1419
ref
393
ref
appTerm
4006
def
appTerm
4007
def
appTerm
4008
def
appTerm
4009
def
absTerm
4010
def
appTerm
4011
def
appTerm
4012
def
absTerm
4013
def
appTerm
4014
def
absTerm
4015
def
appTerm
4016
def
absTerm
4017
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
4016
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
4015
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
4014
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
4013
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
4012
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4003
ref
nil
cons
4018
def
cons
4019
def
43
ref
4011
ref
nil
cons
4020
def
cons
nil
cons
cons
nil
cons
cons
4021
def
140
ref
subst
4021
ref
76
ref
subst
4021
ref
107
ref
subst
nil
2702
ref
110
ref
4002
ref
nil
cons
4022
def
cons
nil
cons
cons
nil
cons
cons
4023
def
122
ref
subst
4023
remove
139
ref
subst
4010
ref
1400
ref
1
ref
1
ref
285
ref
27
ref
cons
opType
4024
def
1
ref
1293
ref
31
ref
cons
opType
4025
def
nil
cons
4026
def
cons
opType
constTerm
292
ref
2170
ref
1800
ref
appTerm
4027
def
absTerm
4028
def
appTerm
1308
ref
appTerm
4029
def
appTerm
betaConv
sym
nil
2597
ref
43
ref
30
ref
4029
ref
appTerm
nil
cons
4030
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
1347
ref
"f"
4024
ref
var
4028
ref
nil
cons
4031
def
cons
nil
cons
cons
4032
def
nil
cons
cons
1350
ref
1277
ref
cons
23
ref
cons
4033
def
1794
ref
subst
subst
eqMp
nil
25
ref
4030
remove
cons
43
ref
66
ref
148
ref
4029
ref
appTerm
39
ref
appTerm
4034
def
appTerm
1317
ref
1419
ref
4029
ref
appTerm
appTerm
4035
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
1728
ref
38
ref
4029
ref
nil
cons
4036
def
cons
nil
cons
cons
nil
cons
cons
442
ref
subst
77
ref
204
ref
35
ref
50
ref
423
ref
4029
remove
appTerm
appTerm
refl
1398
remove
appThm
absThm
appThm
appThm
1529
ref
1364
ref
1899
ref
1353
remove
4028
ref
1366
ref
appTerm
4037
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
175
ref
1928
remove
cons
4032
remove
cons
nil
cons
cons
4033
ref
3294
ref
subst
subst
eqMp
trans
1529
ref
1364
ref
1899
ref
519
ref
4037
remove
betaConv
appThm
3311
ref
appThm
appThm
absThm
appThm
trans
sym
nil
1374
ref
292
ref
1389
ref
422
ref
4027
ref
appTerm
39
ref
appTerm
4038
def
appTerm
4039
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
4039
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1387
ref
43
ref
4038
ref
nil
cons
4040
def
cons
nil
cons
4041
def
cons
nil
cons
cons
4042
def
76
ref
subst
4042
remove
107
ref
subst
nil
25
ref
4022
ref
cons
4043
def
43
ref
1801
ref
nil
cons
4044
def
cons
nil
cons
4045
def
cons
nil
cons
cons
135
ref
subst
51
ref
nil
3423
remove
1348
ref
cons
nil
cons
cons
1897
ref
subst
1529
ref
1364
ref
1899
remove
nil
1901
ref
nil
cons
cons
4046
def
1813
ref
subst
appThm
absThm
appThm
trans
appThm
4047
def
1801
remove
refl
appThm
sym
nil
25
ref
291
ref
1364
ref
1898
ref
238
ref
35
ref
66
ref
1560
remove
appTerm
434
ref
appTerm
absTerm
appTerm
appTerm
absTerm
4048
def
appTerm
nil
cons
4049
def
cons
4050
def
4045
ref
cons
nil
cons
cons
4051
def
76
ref
subst
4051
remove
107
ref
subst
nil
1387
ref
4045
remove
cons
nil
cons
cons
135
ref
subst
3617
remove
4048
ref
1366
ref
appTerm
4052
def
betaConv
nil
4050
ref
43
ref
4052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1351
ref
1374
ref
4048
remove
nil
cons
cons
1364
ref
1900
remove
cons
nil
cons
4053
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4054
def
subst
eqMp
eqMp
nil
108
ref
4049
remove
cons
4055
def
110
ref
4044
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
4056
def
1800
ref
4027
ref
appTerm
4057
def
betaConv
nil
25
ref
4044
remove
cons
43
ref
4057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
175
ref
1800
remove
nil
cons
cons
nil
cons
nil
cons
cons
2308
ref
subst
eqMp
eqMp
4058
def
nil
25
ref
66
ref
1441
ref
1418
ref
4027
remove
appTerm
appTerm
4059
def
appTerm
4060
def
4038
remove
appTerm
nil
cons
4061
def
cons
4062
def
4041
remove
cons
nil
cons
cons
4063
def
135
ref
subst
proveHyp
4063
ref
76
ref
subst
4063
remove
107
ref
subst
nil
108
ref
4059
remove
nil
cons
4064
def
cons
110
ref
4040
remove
cons
nil
cons
4065
def
cons
nil
cons
cons
4066
def
139
ref
subst
eqMp
nil
108
ref
4061
remove
cons
4067
def
4065
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
nil
1925
ref
4065
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
4034
remove
nil
cons
cons
43
ref
4035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
1317
ref
refl
nil
1347
ref
"g"
4024
ref
var
4031
remove
cons
nil
cons
4068
def
cons
nil
cons
cons
1350
ref
1276
ref
"C"
1280
ref
cons
nil
cons
4069
def
cons
cons
23
ref
cons
38
ref
8
ref
2026
remove
constTerm
4070
def
1400
ref
1
ref
1985
ref
1
ref
1293
ref
1995
ref
cons
opType
nil
cons
cons
opType
constTerm
"f"
1985
ref
var
4071
def
varTerm
4072
def
appTerm
1416
ref
3222
ref
appTerm
39
ref
appTerm
appTerm
4073
def
appTerm
1400
ref
1
ref
1
ref
26
ref
1984
remove
cons
opType
4074
def
1
ref
28
ref
1995
remove
cons
opType
nil
cons
cons
opType
constTerm
"Function.o"
const
4075
def
1
ref
1985
ref
1
ref
1411
ref
4074
remove
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
4072
ref
appTerm
3222
ref
appTerm
4076
def
appTerm
39
ref
appTerm
4077
def
appTerm
4078
def
absTerm
4079
def
39
ref
appTerm
4080
def
betaConv
3221
ref
200
ref
4079
ref
appTerm
4081
def
absTerm
4082
def
3222
ref
appTerm
4083
def
betaConv
4071
ref
1430
ref
4082
ref
appTerm
4084
def
absTerm
4085
def
4072
ref
appTerm
4086
def
betaConv
158
ref
1
ref
1
ref
1985
ref
4
ref
cons
opType
4087
def
4
ref
cons
opType
constTerm
4088
def
refl
4071
ref
1431
ref
3221
ref
205
ref
38
ref
4078
remove
assume
sym
4070
remove
4077
remove
appTerm
4073
remove
appTerm
4089
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
4088
ref
4071
ref
1430
ref
3221
ref
200
ref
38
ref
4089
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
4088
ref
4085
ref
appTerm
nil
cons
cons
43
ref
4086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
1986
remove
cons
nil
cons
4090
def
"P"
4087
remove
var
4091
def
4085
remove
nil
cons
cons
"x"
1985
remove
var
4072
ref
nil
cons
cons
nil
cons
4092
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4084
remove
nil
cons
cons
43
ref
4083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
4082
remove
nil
cons
cons
1455
ref
3222
ref
nil
cons
cons
nil
cons
4093
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4081
remove
nil
cons
cons
43
ref
4080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4079
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
appThm
sym
nil
1301
ref
1400
ref
1
ref
3225
ref
1489
ref
cons
opType
constTerm
4094
def
4075
remove
1
ref
1411
ref
1
ref
4024
remove
3226
ref
cons
opType
nil
cons
cons
opType
constTerm
1418
ref
appTerm
4028
ref
appTerm
4095
def
appTerm
1308
ref
appTerm
nil
cons
cons
1348
remove
cons
nil
cons
cons
1528
remove
subst
1529
ref
1364
ref
52
ref
1368
ref
appTerm
4096
def
refl
nil
1347
ref
"f"
3225
ref
var
4097
def
4095
remove
nil
cons
cons
1901
remove
cons
cons
nil
cons
cons
1350
ref
1894
remove
cons
23
ref
cons
1813
ref
subst
subst
1462
ref
1566
ref
153
ref
1539
remove
refl
nil
1611
remove
4068
remove
cons
nil
cons
cons
1276
ref
1350
ref
4069
remove
cons
cons
23
ref
cons
35
ref
1999
remove
4076
remove
36
ref
appTerm
appTerm
4072
ref
3229
ref
appTerm
appTerm
absTerm
4098
def
36
ref
appTerm
4099
def
betaConv
3221
ref
166
ref
4098
ref
appTerm
4100
def
absTerm
4101
def
3222
ref
appTerm
4102
def
betaConv
4071
remove
1430
ref
4101
ref
appTerm
4103
def
absTerm
4104
def
4072
remove
appTerm
4105
def
betaConv
nil
4088
remove
4104
ref
appTerm
4106
def
axiom
nil
25
ref
4106
remove
nil
cons
cons
43
ref
4105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4090
remove
4091
remove
4104
remove
nil
cons
cons
4092
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4103
remove
nil
cons
cons
43
ref
4102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
4101
remove
nil
cons
cons
4093
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4100
remove
nil
cons
cons
43
ref
4099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
4098
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
1659
ref
4028
remove
1567
ref
appTerm
betaConv
appThm
trans
appThm
appThm
1365
ref
1567
ref
appTerm
1308
ref
appTerm
4107
def
refl
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
1374
ref
292
ref
52
ref
1385
ref
appTerm
1363
ref
1566
ref
66
ref
1441
remove
1418
ref
2170
remove
35
ref
66
ref
1585
remove
appTerm
434
ref
appTerm
4108
def
absTerm
4109
def
appTerm
4110
def
appTerm
4111
def
appTerm
4112
def
appTerm
4107
ref
appTerm
4113
def
absTerm
4114
def
appTerm
4115
def
appTerm
4116
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
292
ref
nil
96
ref
4116
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1387
ref
43
ref
4115
ref
nil
cons
4117
def
cons
nil
cons
cons
nil
cons
cons
4118
def
140
ref
subst
4118
ref
76
ref
subst
4118
remove
107
ref
subst
4114
ref
294
ref
appTerm
betaConv
sym
4060
remove
refl
1876
remove
appThm
nil
96
ref
4064
ref
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
sym
4056
remove
4058
remove
nil
4062
remove
43
ref
4064
ref
cons
nil
cons
cons
nil
cons
cons
4119
def
135
ref
subst
proveHyp
4119
ref
76
ref
subst
4119
remove
107
ref
subst
4066
remove
122
ref
subst
eqMp
nil
4067
remove
110
ref
4064
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
eqMp
1351
ref
1374
ref
4114
ref
nil
cons
cons
4120
def
1812
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
1925
ref
110
ref
4117
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1389
ref
4115
ref
appTerm
nil
cons
cons
43
ref
50
ref
4115
remove
appTerm
1385
ref
appTerm
nil
cons
cons
nil
cons
4121
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
1374
ref
1566
ref
50
ref
4114
ref
1567
remove
appTerm
4122
def
appTerm
1385
ref
appTerm
4123
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
1566
remove
nil
96
ref
4123
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4122
ref
nil
cons
4124
def
cons
43
ref
1386
ref
cons
nil
cons
4125
def
cons
nil
cons
cons
4126
def
76
ref
subst
4126
remove
107
ref
subst
4122
ref
betaConv
4122
remove
assume
eqMp
nil
25
ref
4113
remove
nil
cons
4127
def
cons
4125
remove
cons
nil
cons
cons
4128
def
135
ref
subst
proveHyp
4128
ref
76
ref
subst
4128
remove
107
ref
subst
nil
108
ref
4112
ref
nil
cons
cons
110
ref
4107
remove
nil
cons
4129
def
cons
nil
cons
cons
nil
cons
cons
4130
def
122
ref
subst
4130
remove
139
ref
subst
52
ref
1382
remove
appTerm
refl
1381
ref
4111
ref
appTerm
betaConv
appThm
77
ref
1383
remove
appThm
1365
ref
4111
ref
appTerm
1308
ref
appTerm
4131
def
refl
appThm
trans
1381
remove
refl
4112
remove
assume
appThm
eqMp
sym
nil
4043
remove
43
ref
238
ref
4109
ref
appTerm
4132
def
nil
cons
4133
def
cons
nil
cons
4134
def
cons
nil
cons
cons
135
ref
subst
4047
remove
4132
remove
refl
appThm
sym
nil
4050
remove
4134
ref
cons
nil
cons
cons
4135
def
76
ref
subst
4135
remove
107
ref
subst
nil
25
ref
4129
remove
cons
4136
def
4134
remove
cons
nil
cons
cons
135
ref
subst
1613
remove
4054
remove
subst
eqMp
eqMp
nil
4055
remove
110
ref
4133
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
4109
ref
4110
ref
appTerm
4137
def
betaConv
nil
25
ref
4133
remove
cons
43
ref
4137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
175
ref
4109
remove
nil
cons
cons
nil
cons
nil
cons
cons
2308
ref
subst
eqMp
eqMp
nil
25
ref
66
ref
1568
remove
4111
remove
appTerm
appTerm
422
ref
4110
ref
appTerm
39
ref
appTerm
appTerm
nil
cons
cons
43
ref
4131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
35
ref
50
ref
4108
ref
appTerm
3175
ref
appTerm
4138
def
absTerm
4139
def
4110
ref
appTerm
4140
def
betaConv
nil
167
ref
4139
ref
nil
cons
cons
4141
def
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
4138
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4108
remove
nil
cons
4142
def
cons
43
ref
3175
ref
nil
cons
4143
def
cons
nil
cons
4144
def
cons
nil
cons
cons
4145
def
76
ref
subst
4145
remove
107
ref
subst
nil
1677
remove
3952
ref
cons
nil
cons
cons
122
ref
subst
nil
4136
remove
4144
ref
cons
nil
cons
cons
135
ref
subst
51
ref
3641
ref
1668
remove
appThm
2392
ref
appThm
appThm
3175
ref
refl
4146
def
appThm
nil
96
ref
4143
ref
cons
nil
cons
nil
cons
cons
4147
def
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
4142
remove
cons
110
ref
4143
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
4139
remove
appTerm
nil
cons
cons
43
ref
4140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
4141
remove
35
ref
4110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
4127
remove
cons
110
ref
1386
remove
cons
nil
cons
4148
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4124
remove
cons
4148
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
291
ref
1364
ref
50
ref
4114
remove
1366
ref
appTerm
appTerm
1385
remove
appTerm
absTerm
appTerm
nil
cons
cons
4121
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
4120
remove
4148
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
217
ref
218
ref
4010
ref
nil
cons
4149
def
cons
4150
def
219
ref
4036
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
4018
ref
cons
110
ref
4020
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
4003
ref
appTerm
4151
def
4011
ref
appTerm
nil
cons
cons
43
ref
50
ref
4011
ref
appTerm
4152
def
4003
ref
appTerm
nil
cons
cons
nil
cons
4153
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
392
ref
50
ref
4010
ref
393
ref
appTerm
4154
def
appTerm
4155
def
4003
ref
appTerm
4156
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
392
ref
nil
96
ref
4156
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4154
ref
nil
cons
4157
def
cons
4158
def
43
ref
4018
ref
cons
nil
cons
4159
def
cons
nil
cons
cons
4160
def
76
ref
subst
4160
remove
107
ref
subst
4154
ref
betaConv
4161
def
4154
remove
assume
eqMp
4162
def
nil
25
ref
4009
ref
nil
cons
4163
def
cons
4164
def
4159
remove
cons
nil
cons
cons
4165
def
135
ref
subst
proveHyp
4165
ref
76
ref
subst
4165
remove
107
ref
subst
nil
108
ref
396
ref
nil
cons
4166
def
cons
4167
def
110
ref
4008
remove
nil
cons
4168
def
cons
nil
cons
cons
nil
cons
cons
4169
def
122
ref
subst
4170
def
4169
remove
139
ref
subst
4171
def
nil
108
ref
395
ref
nil
cons
4172
def
cons
110
ref
4007
ref
nil
cons
4173
def
cons
nil
cons
4174
def
cons
nil
cons
cons
4175
def
122
ref
subst
4176
def
4175
remove
139
ref
subst
4177
def
52
ref
"_11067"
1293
ref
var
4178
def
66
ref
1321
ref
4178
remove
varTerm
4179
def
appTerm
appTerm
1885
ref
4179
remove
appTerm
1420
ref
appTerm
appTerm
absTerm
4180
def
1308
ref
appTerm
4181
def
appTerm
refl
4180
ref
4006
ref
appTerm
betaConv
appThm
77
ref
4181
remove
betaConv
appThm
66
ref
1321
ref
4006
ref
appTerm
4182
def
appTerm
1885
ref
4006
ref
appTerm
4183
def
1420
ref
appTerm
4184
def
appTerm
refl
appThm
trans
4180
remove
refl
4007
ref
assume
4185
def
appThm
eqMp
sym
nil
25
ref
4166
ref
cons
4186
def
43
ref
4182
remove
nil
cons
4187
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
38
ref
629
remove
cons
nil
cons
4188
def
nil
cons
cons
1794
ref
subst
eqMp
nil
25
ref
4187
remove
cons
43
ref
4184
remove
nil
cons
cons
nil
cons
4189
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
4172
ref
cons
4190
def
4189
remove
cons
nil
cons
cons
135
ref
subst
nil
1728
ref
4188
remove
cons
nil
cons
cons
141
ref
341
remove
1885
ref
1420
ref
appTerm
4191
def
3989
ref
appTerm
4192
def
appTerm
absTerm
4193
def
142
ref
appTerm
4194
def
betaConv
1417
ref
200
ref
4193
ref
appTerm
4195
def
absTerm
4196
def
1418
ref
appTerm
4197
def
betaConv
38
ref
1430
ref
4196
ref
appTerm
4198
def
absTerm
4199
def
39
ref
appTerm
4200
def
betaConv
nil
1430
ref
1417
ref
200
ref
38
ref
4195
ref
absTerm
4201
def
appTerm
4202
def
absTerm
4203
def
appTerm
4204
def
axiom
nil
25
ref
4204
remove
nil
cons
4205
def
cons
4206
def
43
ref
200
ref
4199
ref
appTerm
nil
cons
4207
def
cons
nil
cons
cons
nil
cons
cons
4208
def
135
ref
subst
proveHyp
4208
ref
76
ref
subst
4208
remove
107
ref
subst
nil
218
ref
4199
remove
nil
cons
cons
4209
def
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
4198
remove
nil
cons
4210
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
4196
remove
nil
cons
cons
4211
def
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
4195
remove
nil
cons
4212
def
cons
nil
cons
nil
cons
cons
102
ref
subst
4201
ref
39
ref
appTerm
4213
def
betaConv
4203
ref
1418
ref
appTerm
4214
def
betaConv
nil
4206
remove
43
ref
4214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1453
ref
1454
ref
4203
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4202
remove
nil
cons
cons
43
ref
4213
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4201
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
4205
remove
cons
110
ref
4207
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
4207
remove
cons
43
ref
4200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
4209
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4210
remove
cons
43
ref
4197
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
4211
remove
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4212
remove
cons
43
ref
4194
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4193
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
4163
remove
cons
4215
def
110
ref
4018
ref
cons
nil
cons
4216
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4157
remove
cons
4217
def
4216
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
4010
remove
734
ref
appTerm
appTerm
4218
def
4003
ref
appTerm
absTerm
appTerm
nil
cons
cons
4153
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
4150
ref
4216
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
4219
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4220
def
subst
nil
25
ref
158
ref
1
ref
1
ref
3225
ref
4
ref
cons
opType
4221
def
4
ref
cons
opType
constTerm
4222
def
4097
ref
1858
ref
1345
ref
1858
ref
1301
ref
52
ref
3243
ref
1886
ref
4094
remove
4097
ref
varTerm
4223
def
appTerm
4224
def
2393
ref
appTerm
4225
def
appTerm
4226
def
appTerm
4227
def
appTerm
1923
ref
"s'"
1293
ref
var
4228
def
66
ref
1321
ref
4228
ref
varTerm
4229
def
appTerm
4230
def
appTerm
66
ref
1885
ref
4229
ref
appTerm
2393
ref
appTerm
4231
def
appTerm
1317
ref
4224
ref
4229
ref
appTerm
appTerm
4232
def
appTerm
4233
def
appTerm
4234
def
absTerm
4235
def
appTerm
4236
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4237
def
nil
cons
4238
def
cons
510
ref
cons
nil
cons
cons
4239
def
135
ref
subst
proveHyp
4220
ref
nil
25
ref
1430
ref
4017
remove
appTerm
4240
def
nil
cons
4241
def
cons
4242
def
43
ref
50
ref
4237
ref
appTerm
15
ref
appTerm
4243
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1277
ref
23
ref
cons
4244
def
4220
ref
subst
nil
25
ref
158
ref
1
ref
1
ref
3500
ref
4
ref
cons
opType
4245
def
4
ref
cons
opType
constTerm
4246
def
"f"
3500
ref
var
4247
def
200
ref
38
ref
200
ref
141
ref
52
ref
144
ref
411
ref
1400
ref
1
ref
3500
ref
33
ref
cons
opType
constTerm
4247
ref
varTerm
4248
def
appTerm
4249
def
39
ref
appTerm
4250
def
appTerm
4251
def
appTerm
4252
def
appTerm
267
ref
392
ref
4004
ref
4005
ref
3834
ref
4249
ref
393
ref
appTerm
appTerm
4253
def
appTerm
4254
def
appTerm
4255
def
absTerm
4256
def
appTerm
4257
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4258
def
nil
cons
4259
def
cons
4260
def
43
ref
50
ref
4240
ref
appTerm
4261
def
4243
remove
appTerm
4262
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1352
ref
1790
ref
subst
4263
def
nil
25
ref
4222
ref
4097
ref
1858
ref
1345
ref
50
ref
1321
ref
2393
ref
appTerm
4264
def
appTerm
1321
ref
4225
remove
appTerm
4265
def
appTerm
absTerm
appTerm
absTerm
appTerm
4266
def
nil
cons
4267
def
cons
4268
def
43
ref
50
ref
4258
ref
appTerm
4269
def
4262
remove
appTerm
4270
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1790
ref
nil
1793
ref
43
ref
50
ref
4266
ref
appTerm
4271
def
4270
remove
appTerm
4272
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4244
ref
1790
ref
subst
4273
def
nil
25
ref
4246
ref
4247
ref
200
ref
38
ref
673
ref
30
ref
4250
remove
appTerm
4274
def
appTerm
absTerm
appTerm
absTerm
appTerm
4275
def
nil
cons
4276
def
cons
4277
def
43
ref
50
ref
1791
ref
appTerm
4278
def
4272
remove
appTerm
4279
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1352
ref
2900
ref
subst
nil
25
ref
1858
ref
1345
ref
1885
ref
2393
ref
appTerm
4280
def
2393
ref
appTerm
absTerm
4281
def
appTerm
4282
def
nil
cons
4283
def
cons
4284
def
43
ref
50
ref
4275
remove
appTerm
4285
def
4279
remove
appTerm
4286
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2900
remove
nil
2902
ref
43
ref
50
ref
4282
remove
appTerm
4287
def
4286
remove
appTerm
4288
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
4000
ref
43
ref
50
ref
2899
remove
appTerm
4289
def
4288
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
50
ref
3998
ref
appTerm
refl
4289
ref
refl
4287
ref
refl
4285
ref
refl
4290
def
4278
ref
refl
4291
def
4271
ref
refl
4269
ref
refl
4261
ref
refl
nil
96
ref
4238
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
4292
def
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
nil
4000
remove
43
ref
4289
remove
4287
remove
4285
ref
4278
ref
4271
ref
4269
remove
4261
remove
419
ref
4237
ref
appTerm
4293
def
appTerm
4294
def
appTerm
4295
def
appTerm
4296
def
appTerm
4297
def
appTerm
4298
def
appTerm
4299
def
appTerm
nil
cons
4300
def
cons
nil
cons
cons
nil
cons
cons
4301
def
76
ref
subst
4301
remove
107
ref
subst
nil
2902
remove
43
ref
4299
remove
nil
cons
4302
def
cons
nil
cons
cons
nil
cons
cons
4303
def
76
ref
subst
4303
remove
107
ref
subst
nil
4284
ref
43
ref
4298
remove
nil
cons
4304
def
cons
nil
cons
cons
nil
cons
cons
4305
def
76
ref
subst
4305
remove
107
ref
subst
nil
4277
ref
43
ref
4297
remove
nil
cons
4306
def
cons
nil
cons
cons
nil
cons
cons
4307
def
76
ref
subst
4307
remove
107
ref
subst
nil
1793
ref
43
ref
4296
remove
nil
cons
4308
def
cons
nil
cons
cons
nil
cons
cons
4309
def
76
ref
subst
4309
remove
107
ref
subst
nil
4268
ref
43
ref
4295
remove
nil
cons
4310
def
cons
nil
cons
cons
nil
cons
cons
4311
def
76
ref
subst
4311
remove
107
ref
subst
nil
4260
remove
43
ref
4294
remove
nil
cons
4312
def
cons
nil
cons
cons
nil
cons
cons
4313
def
76
ref
subst
4313
remove
107
ref
subst
nil
4242
remove
43
ref
4293
remove
nil
cons
4314
def
cons
nil
cons
cons
nil
cons
cons
4315
def
76
ref
subst
4315
remove
107
ref
subst
4292
remove
4239
ref
76
ref
subst
4239
remove
107
ref
subst
4222
ref
refl
4316
def
4097
ref
1936
ref
1345
ref
1936
ref
1301
ref
nil
25
ref
4227
ref
nil
cons
cons
43
ref
4236
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
52
ref
56
ref
appTerm
66
ref
2544
ref
2493
ref
appTerm
appTerm
2565
remove
55
ref
appTerm
4317
def
appTerm
appTerm
nil
cons
4318
def
cons
nil
cons
4319
def
cons
nil
cons
cons
4320
def
76
ref
subst
4320
remove
107
ref
subst
52
ref
"_558"
3
ref
var
4321
def
52
ref
52
ref
4321
remove
varTerm
4322
def
appTerm
55
ref
appTerm
appTerm
66
ref
456
ref
4322
ref
appTerm
2493
ref
appTerm
appTerm
456
ref
419
ref
4322
remove
appTerm
appTerm
55
ref
appTerm
appTerm
appTerm
absTerm
4323
def
53
ref
appTerm
4324
def
appTerm
refl
4325
def
4323
ref
15
ref
appTerm
betaConv
appThm
77
ref
4324
remove
betaConv
appThm
4326
def
52
ref
2505
ref
appTerm
66
ref
559
ref
2493
ref
appTerm
appTerm
2577
ref
55
ref
appTerm
4327
def
appTerm
appTerm
refl
appThm
trans
4323
remove
refl
4328
def
2509
ref
appThm
eqMp
sym
77
ref
2514
ref
appThm
153
ref
2591
remove
appThm
2580
ref
58
ref
appThm
2561
remove
trans
4329
def
appThm
2516
ref
936
ref
subst
trans
appThm
2538
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
4318
ref
cons
nil
cons
4330
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
4319
remove
cons
nil
cons
cons
4331
def
76
ref
subst
4331
remove
107
ref
subst
4325
remove
"_556"
3
ref
var
4332
def
52
ref
52
ref
4332
remove
varTerm
4333
def
appTerm
55
ref
appTerm
appTerm
66
ref
456
ref
4333
ref
appTerm
2493
ref
appTerm
appTerm
456
ref
419
ref
4333
remove
appTerm
appTerm
55
ref
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4326
remove
52
ref
2530
ref
appTerm
66
ref
587
ref
2493
ref
appTerm
appTerm
2588
ref
55
ref
appTerm
4334
def
appTerm
appTerm
refl
appThm
trans
4328
remove
2533
ref
appThm
eqMp
sym
77
ref
2534
ref
appThm
153
ref
2581
remove
appThm
2590
ref
58
remove
appThm
2520
remove
trans
4335
def
appThm
2519
ref
trans
appThm
2521
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
4330
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
4318
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
4336
def
subst
153
ref
1255
ref
3243
ref
refl
4337
def
4226
ref
refl
appThm
appThm
nil
1871
ref
4235
ref
nil
cons
4338
def
cons
nil
cons
nil
cons
cons
2370
ref
77
ref
518
ref
1463
ref
2475
remove
appThm
appThm
appThm
166
ref
2476
remove
appTerm
refl
appThm
sym
2477
remove
3046
ref
subst
eqMp
4339
def
subst
subst
1936
ref
4228
ref
518
ref
4235
remove
4229
ref
appTerm
betaConv
4340
def
appThm
nil
25
ref
4230
ref
nil
cons
cons
43
ref
4233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
4230
ref
appTerm
4341
def
refl
appThm
nil
25
ref
4231
ref
nil
cons
cons
43
ref
4232
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
1255
ref
nil
2597
ref
43
ref
4226
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
2488
ref
4228
ref
153
ref
4230
remove
refl
appThm
153
ref
4231
ref
refl
appThm
4232
ref
refl
appThm
appThm
absThm
appThm
appThm
appThm
trans
absThm
appThm
absThm
appThm
absThm
appThm
4316
ref
4097
ref
1936
ref
1345
ref
77
ref
1936
ref
1301
ref
153
ref
1301
ref
456
ref
4227
remove
appTerm
1858
ref
4228
ref
456
ref
4341
remove
appTerm
456
ref
419
ref
4231
remove
appTerm
appTerm
419
ref
4232
remove
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4342
def
1308
ref
appTerm
betaConv
4343
def
appThm
1301
ref
456
ref
456
ref
2434
remove
appTerm
4344
def
419
ref
4226
remove
appTerm
appTerm
4345
def
appTerm
4346
def
4236
remove
appTerm
absTerm
4347
def
1308
ref
appTerm
betaConv
4348
def
appThm
absThm
appThm
appThm
153
ref
1936
ref
1301
ref
4343
remove
absThm
appThm
appThm
1936
ref
1301
ref
4348
remove
absThm
appThm
appThm
appThm
nil
3713
ref
4342
ref
nil
cons
cons
3455
ref
4347
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2370
ref
346
ref
52
ref
166
ref
35
ref
66
ref
241
ref
appTerm
4349
def
348
ref
appTerm
absTerm
appTerm
appTerm
66
ref
2478
remove
appTerm
351
ref
appTerm
appTerm
absTerm
4350
def
347
ref
appTerm
4351
def
betaConv
175
ref
354
ref
4350
ref
appTerm
4352
def
absTerm
4353
def
177
ref
appTerm
4354
def
betaConv
nil
354
ref
4353
ref
appTerm
4355
def
axiom
nil
25
ref
4355
remove
nil
cons
cons
43
ref
4354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4353
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4352
remove
nil
cons
cons
43
ref
4351
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4350
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4356
def
subst
4357
def
subst
eqMp
absThm
appThm
77
ref
1936
ref
1345
ref
153
ref
1345
ref
1858
ref
4342
remove
appTerm
absTerm
4358
def
2393
ref
appTerm
betaConv
4359
def
appThm
1345
ref
1858
ref
4347
remove
appTerm
absTerm
4360
def
2393
ref
appTerm
betaConv
4361
def
appThm
absThm
appThm
appThm
153
ref
1936
ref
1345
ref
4359
remove
absThm
appThm
appThm
1936
ref
1345
ref
4361
remove
absThm
appThm
appThm
appThm
nil
3713
ref
4358
ref
nil
cons
cons
3455
ref
4360
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4357
ref
subst
eqMp
trans
absThm
appThm
77
ref
4316
ref
4097
ref
153
ref
4097
ref
1858
ref
4358
remove
appTerm
absTerm
4362
def
4223
ref
appTerm
betaConv
4363
def
appThm
4097
ref
1858
ref
4360
remove
appTerm
absTerm
4364
def
4223
ref
appTerm
betaConv
4365
def
appThm
absThm
appThm
appThm
153
ref
4316
ref
4097
ref
4363
remove
absThm
appThm
appThm
4316
ref
4097
ref
4365
remove
absThm
appThm
appThm
appThm
nil
"p"
4221
ref
var
4362
ref
nil
cons
cons
"q"
4221
remove
var
4364
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
3226
remove
cons
nil
cons
4366
def
23
ref
cons
4356
ref
subst
subst
eqMp
trans
66
ref
4222
ref
4362
remove
appTerm
4367
def
appTerm
4368
def
refl
4369
def
4316
ref
4097
ref
1936
ref
1345
ref
1936
ref
1301
ref
77
ref
4346
ref
refl
4370
def
2488
ref
4228
ref
4340
ref
absThm
appThm
appThm
appThm
2488
ref
4228
ref
4370
remove
4340
remove
appThm
absThm
appThm
appThm
nil
3455
ref
4338
remove
cons
25
ref
4345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2370
ref
346
ref
52
ref
2544
ref
238
ref
350
remove
appTerm
4371
def
appTerm
appTerm
238
ref
35
ref
2544
ref
348
ref
appTerm
absTerm
4372
def
appTerm
appTerm
absTerm
4373
def
347
ref
appTerm
4374
def
betaConv
25
ref
354
ref
4373
ref
appTerm
4375
def
absTerm
4376
def
53
ref
appTerm
4377
def
betaConv
nil
159
ref
4376
ref
appTerm
4378
def
axiom
nil
25
ref
4378
remove
nil
cons
cons
43
ref
4377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4376
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4375
remove
nil
cons
cons
43
ref
4374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4373
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4379
def
subst
subst
eqMp
absThm
appThm
77
ref
1936
ref
1301
ref
2488
ref
4228
ref
1301
ref
4228
remove
4346
ref
4234
remove
appTerm
absTerm
4380
def
absTerm
4381
def
1308
ref
appTerm
betaConv
4382
def
4229
ref
refl
appThm
4380
ref
4229
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1488
ref
4
ref
cons
opType
4383
def
4
ref
cons
opType
constTerm
refl
4384
def
"f"
1488
remove
var
4385
def
1936
ref
1301
ref
4382
remove
4385
ref
varTerm
4386
def
1308
ref
appTerm
4387
def
refl
appThm
4380
remove
4387
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1315
remove
var
4381
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
1412
ref
cons
4388
def
1870
ref
cons
23
ref
cons
"r"
288
remove
var
4389
def
52
ref
166
ref
35
ref
1363
ref
292
ref
4389
remove
varTerm
4390
def
36
ref
appTerm
4391
def
294
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
3171
ref
1417
ref
166
ref
35
ref
4391
remove
1442
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4392
def
4390
ref
appTerm
4393
def
betaConv
nil
299
remove
4392
ref
appTerm
4394
def
axiom
nil
25
ref
4394
remove
nil
cons
cons
43
ref
4393
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
301
remove
302
remove
4392
remove
nil
cons
cons
303
remove
4390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4395
def
subst
subst
eqMp
trans
absThm
appThm
77
ref
1936
ref
1345
ref
4384
remove
4385
ref
1345
ref
4385
remove
1858
ref
1301
ref
4346
ref
66
ref
1321
ref
4387
ref
appTerm
appTerm
66
ref
1885
ref
4387
ref
appTerm
2393
ref
appTerm
appTerm
1317
ref
4224
ref
4387
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4396
def
absTerm
4397
def
2393
ref
appTerm
betaConv
4398
def
4386
ref
refl
appThm
4396
ref
4386
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1490
ref
4
ref
cons
opType
4399
def
4
ref
cons
opType
constTerm
refl
4400
def
"f"
1490
ref
var
4401
def
1936
ref
1345
ref
4398
remove
4401
ref
varTerm
4402
def
2393
ref
appTerm
4403
def
refl
appThm
4396
remove
4403
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
1293
ref
4383
remove
nil
cons
cons
opType
var
4397
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
1489
remove
cons
1870
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
absThm
appThm
77
ref
4316
ref
4097
ref
4400
remove
4401
ref
4097
ref
4401
remove
1858
ref
1345
ref
1858
ref
1301
ref
4346
ref
66
ref
1321
ref
4403
remove
1308
ref
appTerm
4404
def
appTerm
appTerm
66
ref
1885
ref
4404
ref
appTerm
2393
ref
appTerm
appTerm
1317
ref
4224
ref
4404
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4405
def
absTerm
4406
def
4223
ref
appTerm
betaConv
4407
def
4402
ref
refl
appThm
4405
ref
4402
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
3225
ref
1490
remove
nil
cons
4408
def
cons
opType
4409
def
4
ref
cons
opType
4410
def
4
ref
cons
opType
4411
def
constTerm
4412
def
refl
4413
def
"f"
4409
ref
var
4414
def
4316
ref
4097
ref
4407
remove
4414
ref
varTerm
4415
def
4223
ref
appTerm
4416
def
refl
appThm
4405
remove
4416
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
3225
ref
4399
remove
nil
cons
cons
opType
var
4406
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
4408
remove
cons
4366
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
appThm
77
ref
4369
ref
4413
ref
4414
ref
4414
ref
4222
ref
4097
ref
1858
ref
1345
ref
1858
ref
1301
ref
4346
remove
66
ref
1321
ref
4416
remove
2393
ref
appTerm
1308
ref
appTerm
4417
def
appTerm
appTerm
66
ref
1885
ref
4417
ref
appTerm
2393
ref
appTerm
appTerm
1317
ref
4224
remove
4417
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4418
def
absTerm
4419
def
4415
ref
appTerm
betaConv
4420
def
absThm
appThm
appThm
appThm
4413
remove
4414
ref
4369
remove
4420
remove
appThm
absThm
appThm
appThm
nil
"q"
4410
ref
var
4419
remove
nil
cons
cons
25
ref
4367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
4409
ref
nil
cons
cons
nil
cons
4421
def
23
ref
cons
4422
def
346
ref
52
ref
67
ref
4371
ref
appTerm
appTerm
238
ref
35
ref
67
ref
348
ref
appTerm
absTerm
appTerm
appTerm
absTerm
4423
def
347
ref
appTerm
4424
def
betaConv
25
ref
354
ref
4423
ref
appTerm
4425
def
absTerm
4426
def
53
ref
appTerm
4427
def
betaConv
nil
159
ref
4426
ref
appTerm
4428
def
axiom
nil
25
ref
4428
remove
nil
cons
cons
43
ref
4427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4426
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4425
remove
nil
cons
cons
43
ref
4424
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4423
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4429
def
subst
subst
eqMp
trans
trans
trans
4237
remove
assume
eqMp
nil
25
ref
4412
remove
4414
ref
4368
remove
4418
remove
appTerm
4430
def
absTerm
4431
def
appTerm
4432
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
4410
remove
var
4433
def
4414
ref
50
ref
4431
ref
4415
remove
appTerm
4434
def
appTerm
15
ref
appTerm
4435
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
4422
remove
252
ref
subst
subst
4414
remove
nil
96
ref
4435
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4434
ref
nil
cons
4436
def
cons
510
ref
cons
nil
cons
cons
4437
def
76
ref
subst
4437
remove
107
ref
subst
4434
ref
betaConv
4434
remove
assume
eqMp
nil
25
ref
4430
remove
nil
cons
4438
def
cons
510
ref
cons
nil
cons
cons
4439
def
135
ref
subst
proveHyp
4439
ref
76
ref
subst
4439
remove
107
ref
subst
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
4021
remove
4336
ref
subst
153
ref
1255
ref
4337
ref
4002
ref
refl
appThm
appThm
4440
def
nil
4150
ref
nil
cons
nil
cons
cons
345
ref
4339
remove
subst
4441
def
subst
205
ref
392
ref
518
ref
4161
ref
appThm
nil
4186
ref
43
ref
4168
remove
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
396
ref
appTerm
4442
def
refl
appThm
4443
def
nil
4190
ref
43
ref
4173
ref
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
1255
ref
nil
2597
ref
43
ref
4022
ref
cons
4444
def
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
2486
ref
392
ref
153
ref
396
ref
refl
appThm
4445
def
153
ref
395
ref
refl
appThm
4446
def
4007
ref
refl
appThm
appThm
absThm
appThm
appThm
appThm
trans
absThm
appThm
absThm
appThm
absThm
appThm
1431
ref
1417
ref
205
ref
38
ref
77
ref
1936
ref
1301
ref
153
ref
1301
ref
456
ref
4003
remove
appTerm
200
ref
392
ref
456
ref
4442
remove
appTerm
4447
def
456
ref
419
ref
395
ref
appTerm
appTerm
4448
def
419
ref
4007
ref
appTerm
appTerm
appTerm
4449
def
absTerm
4450
def
appTerm
appTerm
absTerm
4451
def
1308
ref
appTerm
betaConv
4452
def
appThm
1301
ref
456
ref
4344
ref
419
ref
4002
ref
appTerm
appTerm
4453
def
appTerm
4454
def
4011
remove
appTerm
absTerm
4455
def
1308
ref
appTerm
betaConv
4456
def
appThm
absThm
appThm
appThm
153
ref
1936
ref
1301
ref
4452
remove
absThm
appThm
appThm
1936
ref
1301
ref
4456
remove
absThm
appThm
appThm
appThm
nil
3713
ref
4451
ref
nil
cons
cons
3455
remove
4455
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4357
remove
subst
eqMp
absThm
appThm
77
ref
205
ref
38
ref
153
ref
38
ref
1858
ref
4451
remove
appTerm
absTerm
4457
def
39
ref
appTerm
betaConv
4458
def
appThm
38
ref
1858
ref
4455
remove
appTerm
absTerm
4459
def
39
ref
appTerm
betaConv
4460
def
appThm
absThm
appThm
appThm
153
ref
205
ref
38
ref
4458
remove
absThm
appThm
appThm
205
ref
38
ref
4460
remove
absThm
appThm
appThm
appThm
nil
694
ref
4457
ref
nil
cons
cons
344
ref
4459
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
345
ref
4356
ref
subst
4461
def
subst
eqMp
trans
absThm
appThm
77
ref
1431
ref
1417
ref
153
ref
1417
ref
200
ref
4457
remove
appTerm
absTerm
4462
def
1418
ref
appTerm
betaConv
4463
def
appThm
1417
ref
200
ref
4459
remove
appTerm
absTerm
4464
def
1418
ref
appTerm
betaConv
4465
def
appThm
absThm
appThm
appThm
153
ref
1431
ref
1417
ref
4463
remove
absThm
appThm
appThm
1431
ref
1417
ref
4465
remove
absThm
appThm
appThm
appThm
nil
"p"
1428
ref
var
4466
def
4462
ref
nil
cons
cons
"q"
1428
remove
var
4467
def
4464
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1788
ref
4356
ref
subst
subst
eqMp
trans
66
ref
1430
ref
4462
remove
appTerm
4468
def
appTerm
4469
def
refl
4470
def
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
77
ref
4454
ref
refl
4471
def
2486
ref
392
ref
4161
ref
absThm
appThm
appThm
appThm
2486
ref
392
ref
4471
remove
4161
remove
appThm
absThm
appThm
appThm
nil
344
ref
4149
remove
cons
25
ref
4453
remove
nil
cons
4472
def
cons
nil
cons
cons
nil
cons
cons
345
ref
4379
ref
subst
4473
def
subst
eqMp
absThm
appThm
77
ref
1936
ref
1301
ref
2486
ref
392
ref
1301
ref
392
ref
4454
ref
4009
remove
appTerm
absTerm
4474
def
absTerm
4475
def
1308
ref
appTerm
betaConv
4476
def
393
ref
refl
4477
def
appThm
4474
ref
393
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
4025
ref
4
ref
cons
opType
4478
def
4
ref
cons
opType
constTerm
refl
4479
def
"f"
4025
remove
var
4480
def
1936
ref
1301
ref
4476
remove
4480
ref
varTerm
4481
def
1308
ref
appTerm
4482
def
refl
appThm
4474
remove
4482
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
3437
remove
var
4475
remove
nil
cons
cons
nil
cons
nil
cons
cons
3438
remove
4395
ref
subst
subst
eqMp
trans
absThm
appThm
77
ref
205
ref
38
ref
4479
remove
4480
ref
38
ref
4480
remove
1858
ref
1301
ref
4454
ref
66
ref
30
ref
4482
ref
appTerm
appTerm
66
ref
148
ref
4482
ref
appTerm
39
ref
appTerm
appTerm
1317
ref
1419
ref
4482
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4483
def
absTerm
4484
def
39
ref
appTerm
betaConv
4485
def
4481
ref
refl
appThm
4483
ref
4481
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
28
ref
4026
ref
cons
opType
4486
def
4
ref
cons
opType
4487
def
4
ref
cons
opType
constTerm
refl
4488
def
"f"
4486
ref
var
4489
def
205
ref
38
ref
4485
remove
4489
ref
varTerm
4490
def
39
ref
appTerm
4491
def
refl
appThm
4483
remove
4491
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
28
ref
4478
remove
nil
cons
cons
opType
var
4484
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
4026
remove
cons
217
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
absThm
appThm
77
ref
1431
ref
1417
ref
4488
remove
4489
ref
1417
ref
4489
remove
200
ref
38
ref
1858
ref
1301
ref
4454
ref
66
ref
30
ref
4491
remove
1308
ref
appTerm
4492
def
appTerm
appTerm
66
ref
148
ref
4492
ref
appTerm
39
ref
appTerm
appTerm
1317
ref
1419
ref
4492
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4493
def
absTerm
4494
def
1418
ref
appTerm
betaConv
4495
def
4490
ref
refl
appThm
4493
ref
4490
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
1411
ref
4486
remove
nil
cons
4496
def
cons
opType
4497
def
4
ref
cons
opType
4498
def
4
ref
cons
opType
4499
def
constTerm
4500
def
refl
4501
def
"f"
4497
ref
var
4502
def
1431
ref
1417
ref
4495
remove
4502
ref
varTerm
4503
def
1418
ref
appTerm
4504
def
refl
appThm
4493
remove
4504
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
1411
ref
4487
remove
nil
cons
cons
opType
var
4494
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
4496
remove
cons
1453
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
appThm
77
ref
4470
ref
4501
ref
4502
ref
4502
ref
1430
ref
1417
ref
200
ref
38
ref
1858
ref
1301
ref
4454
ref
66
ref
30
ref
4504
remove
39
ref
appTerm
1308
ref
appTerm
4505
def
appTerm
appTerm
66
ref
148
ref
4505
ref
appTerm
39
ref
appTerm
appTerm
1317
ref
1419
ref
4505
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4506
def
absTerm
4507
def
4503
remove
appTerm
betaConv
4508
def
absThm
appThm
appThm
appThm
4501
remove
4502
ref
4470
remove
4508
remove
appThm
absThm
appThm
appThm
nil
"q"
4498
ref
var
4507
remove
nil
cons
cons
25
ref
4468
remove
nil
cons
4509
def
cons
nil
cons
cons
nil
cons
cons
"A"
4497
ref
nil
cons
cons
nil
cons
4510
def
23
ref
cons
4511
def
4429
ref
subst
subst
eqMp
trans
trans
trans
4240
ref
assume
eqMp
nil
25
ref
4500
remove
4502
remove
4469
ref
4506
remove
appTerm
absTerm
4512
def
appTerm
4513
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
4498
remove
var
4514
def
"f'"
4497
ref
var
4515
def
50
ref
4512
ref
4515
ref
varTerm
4516
def
appTerm
4517
def
appTerm
15
ref
appTerm
4518
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
4511
remove
252
ref
subst
subst
4515
remove
nil
96
ref
4518
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4517
ref
nil
cons
4519
def
cons
510
ref
cons
nil
cons
cons
4520
def
76
ref
subst
4520
remove
107
ref
subst
4517
ref
betaConv
4517
remove
assume
eqMp
nil
25
ref
4469
remove
1430
ref
1417
ref
200
ref
38
ref
1858
ref
1301
ref
4454
ref
66
ref
30
ref
4516
ref
1418
ref
appTerm
39
ref
appTerm
1308
ref
appTerm
4521
def
appTerm
4522
def
appTerm
66
ref
148
ref
4521
ref
appTerm
39
ref
appTerm
4523
def
appTerm
1317
ref
1419
ref
4521
remove
appTerm
appTerm
4524
def
appTerm
4525
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4526
def
appTerm
nil
cons
4527
def
cons
510
ref
cons
nil
cons
cons
4528
def
135
ref
subst
proveHyp
4528
ref
76
ref
subst
4528
remove
107
ref
subst
4246
ref
refl
4529
def
4247
ref
205
ref
38
ref
205
ref
141
ref
nil
25
ref
4252
ref
nil
cons
cons
43
ref
4257
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4336
ref
subst
153
ref
1255
ref
144
ref
refl
4530
def
4251
ref
refl
appThm
appThm
nil
218
ref
4256
ref
nil
cons
4531
def
cons
nil
cons
nil
cons
cons
4441
ref
subst
205
ref
392
ref
518
ref
4256
remove
393
ref
appTerm
betaConv
4532
def
appThm
nil
4186
remove
43
ref
4254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
4443
remove
nil
4190
remove
43
ref
4253
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
1255
ref
nil
310
ref
43
ref
4251
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
2486
ref
392
ref
4445
remove
4446
remove
4253
ref
refl
appThm
appThm
absThm
appThm
appThm
appThm
trans
absThm
appThm
absThm
appThm
absThm
appThm
4529
ref
4247
ref
205
ref
38
ref
77
ref
205
ref
141
ref
153
ref
141
ref
456
ref
4252
remove
appTerm
200
ref
392
ref
4447
ref
4448
ref
419
ref
4253
remove
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4533
def
142
ref
appTerm
betaConv
4534
def
appThm
141
ref
456
ref
456
ref
2865
ref
appTerm
4535
def
419
ref
4251
remove
appTerm
appTerm
4536
def
appTerm
4537
def
4257
remove
appTerm
absTerm
4538
def
142
ref
appTerm
betaConv
4539
def
appThm
absThm
appThm
appThm
153
ref
205
ref
141
ref
4534
remove
absThm
appThm
appThm
205
ref
141
ref
4539
remove
absThm
appThm
appThm
appThm
nil
694
ref
4533
ref
nil
cons
cons
344
ref
4538
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4461
ref
subst
eqMp
absThm
appThm
77
ref
205
ref
38
ref
153
ref
38
ref
200
ref
4533
remove
appTerm
absTerm
4540
def
39
ref
appTerm
betaConv
4541
def
appThm
38
ref
200
ref
4538
remove
appTerm
absTerm
4542
def
39
ref
appTerm
betaConv
4543
def
appThm
absThm
appThm
appThm
153
ref
205
ref
38
ref
4541
remove
absThm
appThm
appThm
205
ref
38
ref
4543
remove
absThm
appThm
appThm
appThm
nil
694
ref
4540
ref
nil
cons
cons
344
ref
4542
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4461
ref
subst
eqMp
trans
absThm
appThm
77
ref
4529
ref
4247
ref
153
ref
4247
ref
200
ref
4540
remove
appTerm
absTerm
4544
def
4248
ref
appTerm
betaConv
4545
def
appThm
4247
ref
200
ref
4542
remove
appTerm
absTerm
4546
def
4248
ref
appTerm
betaConv
4547
def
appThm
absThm
appThm
appThm
153
ref
4529
ref
4247
ref
4545
remove
absThm
appThm
appThm
4529
ref
4247
ref
4547
remove
absThm
appThm
appThm
appThm
nil
"p"
4245
ref
var
4544
ref
nil
cons
cons
"q"
4245
remove
var
4546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
3501
remove
cons
nil
cons
4548
def
23
ref
cons
4356
ref
subst
subst
eqMp
trans
66
ref
4246
ref
4544
remove
appTerm
4549
def
appTerm
4550
def
refl
4551
def
4529
ref
4247
ref
205
ref
38
ref
205
ref
141
ref
77
ref
4537
ref
refl
4552
def
2486
ref
392
ref
4532
ref
absThm
appThm
appThm
appThm
2486
ref
392
ref
4552
remove
4532
remove
appThm
absThm
appThm
appThm
nil
344
ref
4531
remove
cons
25
ref
4536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4473
ref
subst
eqMp
absThm
appThm
77
ref
205
ref
141
ref
2486
ref
392
ref
141
ref
392
ref
4537
ref
4255
remove
appTerm
absTerm
4553
def
absTerm
4554
def
142
ref
appTerm
betaConv
4555
def
4477
remove
appThm
4553
ref
393
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
32
ref
4
ref
cons
opType
4556
def
4
ref
cons
opType
constTerm
refl
4557
def
"f"
32
remove
var
4558
def
205
ref
141
ref
4555
remove
4558
ref
varTerm
4559
def
142
ref
appTerm
4560
def
refl
appThm
4553
remove
4560
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
147
ref
var
4561
def
4554
remove
nil
cons
cons
nil
cons
nil
cons
cons
284
remove
4395
ref
subst
subst
eqMp
trans
absThm
appThm
77
ref
205
ref
38
ref
4557
remove
4558
ref
38
ref
4558
ref
200
ref
141
ref
4537
ref
66
ref
30
ref
4560
ref
appTerm
appTerm
66
ref
148
ref
4560
ref
appTerm
39
ref
appTerm
appTerm
3834
ref
4249
ref
4560
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4562
def
absTerm
4563
def
39
ref
appTerm
betaConv
4564
def
4559
ref
refl
appThm
4562
ref
4559
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
191
ref
4
ref
cons
opType
4565
def
4
ref
cons
opType
constTerm
refl
4566
def
"f"
191
remove
var
4567
def
205
ref
38
ref
4564
remove
4567
ref
varTerm
4568
def
39
ref
appTerm
4569
def
refl
appThm
4562
remove
4569
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
28
ref
4556
remove
nil
cons
cons
opType
var
4563
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
33
remove
cons
217
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
absThm
appThm
77
ref
4529
ref
4247
ref
4566
remove
4567
ref
4247
ref
4567
remove
200
ref
38
ref
200
ref
141
ref
4537
ref
66
ref
30
ref
4569
remove
142
ref
appTerm
4570
def
appTerm
appTerm
66
ref
148
ref
4570
ref
appTerm
39
ref
appTerm
appTerm
3834
ref
4249
ref
4570
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4571
def
absTerm
4572
def
4248
ref
appTerm
betaConv
4573
def
4568
ref
refl
appThm
4571
ref
4568
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
3500
ref
3482
ref
cons
opType
4574
def
4
ref
cons
opType
4575
def
4
ref
cons
opType
4576
def
constTerm
4577
def
refl
4578
def
"f"
4574
ref
var
4579
def
4529
ref
4247
ref
4573
remove
4579
ref
varTerm
4580
def
4248
ref
appTerm
4581
def
refl
appThm
4571
remove
4581
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
3500
ref
4565
remove
nil
cons
cons
opType
var
4572
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
3482
remove
cons
4548
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
trans
appThm
77
ref
4551
ref
4578
ref
4579
ref
4579
ref
4246
ref
4247
ref
200
ref
38
ref
200
ref
141
ref
4537
ref
66
ref
30
ref
4581
remove
39
ref
appTerm
142
ref
appTerm
4582
def
appTerm
appTerm
66
ref
148
ref
4582
ref
appTerm
39
ref
appTerm
appTerm
3834
ref
4249
ref
4582
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4583
def
absTerm
4584
def
4580
remove
appTerm
betaConv
4585
def
absThm
appThm
appThm
appThm
4578
remove
4579
ref
4551
remove
4585
remove
appThm
absThm
appThm
appThm
nil
"q"
4575
ref
var
4584
remove
nil
cons
cons
25
ref
4549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
4574
ref
nil
cons
cons
nil
cons
4586
def
23
ref
cons
4587
def
4429
ref
subst
subst
eqMp
trans
trans
trans
4258
remove
assume
eqMp
nil
25
ref
4577
remove
4579
remove
4550
ref
4583
remove
appTerm
absTerm
4588
def
appTerm
4589
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
4575
remove
var
4590
def
"f''"
4574
ref
var
4591
def
50
ref
4588
ref
4591
ref
varTerm
4592
def
appTerm
4593
def
appTerm
15
ref
appTerm
4594
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
4587
remove
252
ref
subst
subst
4591
remove
nil
96
ref
4594
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4593
ref
nil
cons
4595
def
cons
510
ref
cons
nil
cons
cons
4596
def
76
ref
subst
4596
remove
107
ref
subst
4593
ref
betaConv
4593
remove
assume
eqMp
nil
25
ref
4550
remove
4246
ref
4247
ref
200
ref
38
ref
200
ref
141
ref
4537
remove
66
ref
30
ref
4592
remove
4248
ref
appTerm
39
ref
appTerm
142
ref
appTerm
4597
def
appTerm
appTerm
66
ref
148
ref
4597
ref
appTerm
39
ref
appTerm
appTerm
3834
ref
4249
remove
4597
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
4598
def
cons
510
ref
cons
nil
cons
cons
4599
def
135
ref
subst
proveHyp
4599
ref
76
ref
subst
4599
remove
107
ref
subst
nil
1454
ref
3996
ref
nil
cons
cons
nil
cons
nil
cons
cons
1788
ref
2484
ref
subst
subst
3171
ref
refl
4600
def
1417
ref
518
ref
3996
remove
1418
ref
appTerm
betaConv
appThm
nil
218
ref
3995
ref
nil
cons
cons
nil
cons
nil
cons
cons
2485
ref
subst
2486
ref
38
ref
518
ref
3995
remove
39
ref
appTerm
betaConv
appThm
nil
3403
ref
43
ref
3994
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2543
ref
subst
1255
ref
153
ref
1421
ref
refl
4601
def
appThm
nil
218
ref
3993
ref
nil
cons
4602
def
cons
nil
cons
nil
cons
cons
4441
remove
subst
205
ref
141
ref
518
ref
3993
remove
142
ref
appTerm
betaConv
4603
def
appThm
nil
310
ref
43
ref
3991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
2865
remove
refl
appThm
nil
25
ref
3141
ref
nil
cons
4604
def
cons
43
ref
3990
ref
nil
cons
4605
def
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
153
ref
419
ref
1421
ref
appTerm
4606
def
refl
4607
def
appThm
4608
def
2486
ref
141
ref
4530
ref
3988
ref
refl
4609
def
3990
ref
refl
4610
def
appThm
appThm
absThm
appThm
appThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
4600
ref
1417
ref
77
ref
2486
ref
38
ref
1255
ref
38
ref
66
ref
1421
ref
appTerm
200
ref
141
ref
4535
ref
456
ref
419
ref
3141
ref
appTerm
appTerm
4611
def
419
ref
3990
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
4612
def
absTerm
4613
def
39
ref
appTerm
betaConv
4614
def
appThm
4615
def
38
ref
66
ref
4606
ref
appTerm
4616
def
3994
remove
appTerm
absTerm
4617
def
39
ref
appTerm
betaConv
4618
def
appThm
absThm
appThm
appThm
1255
ref
2486
ref
38
ref
4614
remove
absThm
appThm
appThm
4619
def
2486
ref
38
ref
4618
remove
absThm
appThm
appThm
appThm
nil
694
ref
4613
ref
nil
cons
cons
4620
def
344
ref
4617
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
345
ref
346
ref
52
ref
238
ref
35
ref
456
ref
241
ref
appTerm
4621
def
348
ref
appTerm
absTerm
appTerm
4622
def
appTerm
456
ref
2192
ref
appTerm
4623
def
4371
ref
appTerm
4624
def
appTerm
absTerm
4625
def
347
ref
appTerm
4626
def
betaConv
175
ref
354
ref
4625
ref
appTerm
4627
def
absTerm
4628
def
177
ref
appTerm
4629
def
betaConv
nil
354
ref
4628
ref
appTerm
4630
def
axiom
nil
25
ref
4630
remove
nil
cons
cons
43
ref
4629
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4628
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4627
remove
nil
cons
cons
43
ref
4626
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4625
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4631
def
subst
subst
eqMp
absThm
appThm
77
ref
4600
ref
1417
ref
1255
ref
1417
ref
267
ref
4613
remove
appTerm
absTerm
4632
def
1418
ref
appTerm
betaConv
4633
def
appThm
4634
def
1417
ref
267
ref
4617
remove
appTerm
absTerm
4635
def
1418
ref
appTerm
betaConv
4636
def
appThm
absThm
appThm
appThm
1255
ref
4600
ref
1417
ref
4633
remove
absThm
appThm
appThm
4637
def
4600
ref
1417
ref
4636
remove
absThm
appThm
appThm
appThm
nil
4466
ref
4632
ref
nil
cons
cons
4638
def
4467
ref
4635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1788
ref
4631
ref
subst
subst
eqMp
trans
456
ref
3171
ref
4632
remove
appTerm
appTerm
refl
4600
ref
1417
ref
2486
ref
38
ref
77
ref
4608
ref
2486
ref
141
ref
4603
ref
absThm
appThm
appThm
appThm
2486
ref
141
ref
4608
remove
4603
remove
appThm
absThm
appThm
appThm
nil
344
ref
4602
remove
cons
25
ref
4606
ref
nil
cons
4639
def
cons
nil
cons
cons
nil
cons
cons
345
ref
4429
ref
subst
subst
eqMp
absThm
appThm
absThm
appThm
appThm
77
ref
4637
remove
4600
ref
1417
ref
1417
ref
267
ref
38
ref
267
ref
141
ref
4616
remove
3992
remove
appTerm
4640
def
absTerm
4641
def
appTerm
absTerm
4642
def
appTerm
absTerm
4643
def
1418
ref
appTerm
betaConv
4644
def
absThm
appThm
appThm
appThm
4600
ref
1417
ref
4634
remove
4644
remove
appThm
absThm
appThm
appThm
nil
4638
remove
4467
ref
4643
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1788
ref
346
ref
52
ref
4624
remove
appTerm
4622
remove
appTerm
absTerm
4645
def
347
ref
appTerm
4646
def
betaConv
175
ref
354
ref
4645
ref
appTerm
4647
def
absTerm
4648
def
177
ref
appTerm
4649
def
betaConv
nil
354
ref
4648
ref
appTerm
4650
def
axiom
nil
25
ref
4650
remove
nil
cons
cons
43
ref
4649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4648
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4647
remove
nil
cons
cons
43
ref
4646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4645
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4651
def
subst
subst
eqMp
4600
ref
1417
ref
77
ref
4619
remove
2486
ref
38
ref
4642
ref
39
ref
appTerm
betaConv
4652
def
absThm
appThm
appThm
appThm
2486
ref
38
ref
4615
remove
4652
remove
appThm
absThm
appThm
appThm
nil
4620
remove
344
ref
4642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
345
ref
4651
ref
subst
subst
eqMp
2486
ref
38
ref
77
ref
456
ref
4612
ref
appTerm
4653
def
refl
4654
def
2486
ref
141
ref
4641
ref
142
ref
appTerm
betaConv
4655
def
absThm
appThm
appThm
appThm
2486
ref
141
ref
4654
remove
4655
remove
appThm
absThm
appThm
appThm
nil
344
ref
4641
remove
nil
cons
cons
25
ref
4612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4473
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
trans
3998
remove
assume
eqMp
nil
25
ref
3171
ref
1417
ref
267
ref
38
ref
267
ref
141
ref
4653
remove
4640
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4656
def
appTerm
4657
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
1454
ref
"f'''"
1411
ref
var
4658
def
50
ref
4656
ref
4658
ref
varTerm
4659
def
appTerm
4660
def
appTerm
15
ref
appTerm
4661
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
4658
remove
nil
96
ref
4661
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4660
ref
nil
cons
4662
def
cons
510
ref
cons
nil
cons
cons
4663
def
76
ref
subst
4663
remove
107
ref
subst
4660
ref
betaConv
4660
remove
assume
eqMp
nil
25
ref
267
ref
38
ref
267
ref
141
ref
456
ref
66
ref
1321
ref
1416
ref
4659
ref
appTerm
4664
def
39
ref
appTerm
4665
def
appTerm
4666
def
appTerm
4667
def
200
ref
141
ref
4535
remove
4611
remove
419
ref
1316
ref
4665
ref
appTerm
4668
def
4664
ref
142
ref
appTerm
appTerm
4669
def
appTerm
appTerm
appTerm
absTerm
4670
def
appTerm
4671
def
appTerm
4672
def
appTerm
66
ref
419
ref
4666
ref
appTerm
4673
def
appTerm
144
ref
3988
ref
4669
remove
appTerm
appTerm
4674
def
appTerm
4675
def
appTerm
4676
def
absTerm
4677
def
appTerm
4678
def
absTerm
4679
def
appTerm
4680
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
218
ref
38
ref
50
ref
4679
ref
39
ref
appTerm
4681
def
appTerm
15
ref
appTerm
4682
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
4682
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4681
ref
nil
cons
4683
def
cons
510
ref
cons
nil
cons
cons
4684
def
76
ref
subst
4684
remove
107
ref
subst
4681
ref
betaConv
4681
remove
assume
eqMp
nil
25
ref
4678
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
218
ref
141
ref
50
ref
4677
ref
142
ref
appTerm
4685
def
appTerm
15
ref
appTerm
4686
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
4686
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
4685
ref
nil
cons
4687
def
cons
510
ref
cons
nil
cons
cons
4688
def
76
ref
subst
4688
remove
107
ref
subst
4685
ref
betaConv
4685
remove
assume
eqMp
nil
25
ref
4676
remove
nil
cons
4689
def
cons
510
ref
cons
nil
cons
cons
4690
def
135
ref
subst
proveHyp
4690
ref
76
ref
subst
4690
remove
107
ref
subst
nil
25
ref
4675
remove
nil
cons
4691
def
cons
510
ref
cons
nil
cons
cons
4692
def
76
ref
subst
4692
remove
107
ref
subst
nil
108
ref
4673
remove
nil
cons
cons
110
ref
4674
remove
nil
cons
4693
def
cons
nil
cons
cons
nil
cons
cons
4694
def
139
ref
subst
nil
25
ref
4693
remove
cons
43
ref
4666
remove
nil
cons
4695
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11148"
1411
ref
var
4696
def
4659
ref
nil
cons
4697
def
cons
"_11150"
1293
ref
var
4698
def
4665
ref
nil
cons
4699
def
cons
"_11149"
28
ref
var
4700
def
220
ref
cons
"_11151"
28
ref
var
4701
def
233
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
30
ref
4701
remove
varTerm
4702
def
appTerm
4703
def
appTerm
4704
def
appTerm
456
ref
419
ref
148
ref
4702
ref
appTerm
4700
remove
varTerm
4705
def
appTerm
4706
def
appTerm
4707
def
appTerm
419
ref
1316
ref
4698
remove
varTerm
4708
def
appTerm
4709
def
1416
ref
4696
remove
varTerm
4710
def
appTerm
4711
def
4702
ref
appTerm
appTerm
4712
def
appTerm
4713
def
appTerm
4714
def
appTerm
4715
def
nil
cons
cons
2906
ref
1321
ref
4708
ref
appTerm
4716
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
3763
ref
15
ref
appTerm
4717
def
nil
cons
4718
def
cons
4719
def
43
ref
52
ref
456
ref
2914
ref
appTerm
4720
def
2907
ref
appTerm
4721
def
appTerm
50
ref
419
ref
2907
ref
appTerm
4722
def
appTerm
4723
def
2914
ref
appTerm
appTerm
nil
cons
4724
def
cons
nil
cons
4725
def
cons
nil
cons
cons
4726
def
76
ref
subst
4726
remove
107
ref
subst
52
ref
"_610"
3
ref
var
4727
def
52
ref
456
ref
4727
remove
varTerm
4728
def
appTerm
2907
ref
appTerm
appTerm
4723
ref
4728
remove
appTerm
appTerm
absTerm
4729
def
2914
ref
appTerm
4730
def
appTerm
refl
4731
def
4729
ref
15
ref
appTerm
betaConv
appThm
77
ref
4730
remove
betaConv
appThm
4732
def
52
ref
559
ref
2907
ref
appTerm
4733
def
appTerm
4723
ref
15
ref
appTerm
appTerm
refl
appThm
trans
4729
remove
refl
4734
def
4717
remove
assume
4735
def
appThm
eqMp
sym
77
ref
nil
96
ref
2984
remove
cons
nil
cons
nil
cons
cons
4736
def
567
ref
subst
4737
def
appThm
nil
96
ref
4722
ref
nil
cons
4738
def
cons
nil
cons
nil
cons
cons
4739
def
517
ref
subst
4736
ref
2448
ref
subst
4740
def
trans
4741
def
appThm
nil
2985
remove
nil
cons
cons
2450
ref
subst
4742
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
4718
ref
cons
4743
def
110
ref
4724
ref
cons
nil
cons
4744
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3763
remove
14
ref
appTerm
4745
def
nil
cons
4746
def
cons
4747
def
4725
remove
cons
nil
cons
cons
4748
def
76
ref
subst
4748
remove
107
ref
subst
4731
remove
"_608"
3
ref
var
4749
def
52
ref
456
ref
4749
remove
varTerm
4750
def
appTerm
2907
ref
appTerm
appTerm
4723
ref
4750
remove
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4732
remove
52
ref
587
ref
2907
ref
appTerm
4751
def
appTerm
4723
ref
14
ref
appTerm
appTerm
refl
appThm
trans
4734
remove
4745
remove
assume
4752
def
appThm
eqMp
sym
77
ref
4736
ref
595
ref
subst
4753
def
appThm
4739
ref
2062
ref
subst
4754
def
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
4746
remove
cons
4755
def
4744
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
ref
2914
ref
appTerm
4756
def
betaConv
607
ref
nil
608
ref
43
ref
4756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
ref
3774
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4757
def
nil
4755
ref
110
ref
4718
remove
cons
4758
def
612
ref
4724
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
4759
def
subst
51
ref
nil
2905
ref
4714
remove
nil
cons
cons
2906
ref
4704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
4719
ref
43
ref
52
ref
419
ref
4721
ref
appTerm
4760
def
appTerm
2916
remove
4722
ref
appTerm
appTerm
nil
cons
4761
def
cons
nil
cons
4762
def
cons
nil
cons
cons
4763
def
76
ref
subst
4763
remove
107
ref
subst
52
ref
"_614"
3
ref
var
4764
def
52
ref
419
ref
456
ref
4764
remove
varTerm
4765
def
appTerm
2907
ref
appTerm
appTerm
appTerm
66
ref
419
ref
4765
remove
appTerm
appTerm
4722
ref
appTerm
appTerm
absTerm
4766
def
2914
ref
appTerm
4767
def
appTerm
refl
4768
def
4766
ref
15
ref
appTerm
betaConv
appThm
77
ref
4767
remove
betaConv
appThm
4769
def
52
ref
419
ref
4733
ref
appTerm
4770
def
appTerm
2507
remove
4722
ref
appTerm
appTerm
refl
appThm
trans
4766
remove
refl
4771
def
4735
ref
appThm
eqMp
sym
77
ref
518
ref
4737
ref
appThm
4772
def
appThm
2518
remove
4722
ref
refl
4773
def
appThm
4739
ref
186
ref
subst
trans
appThm
nil
20
ref
4738
ref
cons
nil
cons
nil
cons
cons
2450
ref
subst
4774
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
4761
ref
cons
nil
cons
4775
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
4762
remove
cons
nil
cons
cons
4776
def
76
ref
subst
4776
remove
107
ref
subst
4768
remove
"_612"
3
ref
var
4777
def
52
ref
419
ref
456
ref
4777
remove
varTerm
4778
def
appTerm
2907
ref
appTerm
appTerm
appTerm
66
ref
419
ref
4778
remove
appTerm
appTerm
4722
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4769
remove
52
ref
419
ref
4751
ref
appTerm
4779
def
appTerm
2532
remove
4722
ref
appTerm
appTerm
refl
appThm
trans
4771
remove
4752
ref
appThm
eqMp
sym
77
ref
518
ref
4753
ref
appThm
590
ref
trans
4780
def
appThm
2536
remove
4773
ref
appThm
4739
ref
1468
ref
subst
trans
appThm
2562
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
4775
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
4761
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
4781
def
subst
153
ref
nil
2906
ref
4703
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2905
ref
4713
remove
nil
cons
cons
2906
ref
4707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
4706
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
4712
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
trans
appThm
4716
ref
refl
appThm
trans
392
ref
66
ref
456
ref
4716
remove
appTerm
4782
def
4447
ref
456
ref
419
ref
394
remove
4705
ref
appTerm
appTerm
appTerm
4783
def
419
ref
4709
remove
4711
ref
393
ref
appTerm
4784
def
appTerm
appTerm
appTerm
appTerm
4785
def
appTerm
appTerm
456
ref
1885
ref
4708
ref
appTerm
4711
ref
4705
ref
appTerm
4786
def
appTerm
appTerm
4787
def
4785
remove
appTerm
appTerm
absTerm
4788
def
4702
ref
appTerm
4789
def
betaConv
1301
ref
200
ref
392
ref
66
ref
456
ref
1322
remove
appTerm
4790
def
4447
ref
4783
remove
419
ref
1317
ref
4784
remove
appTerm
appTerm
4791
def
appTerm
appTerm
4792
def
appTerm
appTerm
456
ref
1886
ref
4786
remove
appTerm
appTerm
4792
remove
appTerm
appTerm
absTerm
appTerm
absTerm
4793
def
4708
ref
appTerm
4794
def
betaConv
38
ref
1858
ref
1301
ref
200
ref
392
ref
66
ref
4790
ref
4447
remove
4448
remove
4791
remove
appTerm
appTerm
4795
def
appTerm
appTerm
456
ref
1886
ref
4711
remove
39
ref
appTerm
appTerm
appTerm
4795
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4796
def
4705
ref
appTerm
4797
def
betaConv
1417
ref
200
ref
38
ref
1858
ref
1301
ref
200
ref
392
ref
66
ref
4790
remove
4449
ref
appTerm
appTerm
456
ref
4002
ref
appTerm
4449
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4798
def
4710
ref
appTerm
4799
def
betaConv
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
77
ref
4440
ref
205
ref
392
ref
4450
ref
393
ref
appTerm
betaConv
4800
def
absThm
appThm
appThm
appThm
205
ref
392
ref
4440
remove
4800
remove
appThm
absThm
appThm
appThm
nil
344
ref
4450
remove
nil
cons
cons
4019
remove
nil
cons
cons
nil
cons
cons
345
ref
346
ref
52
ref
2544
remove
351
remove
appTerm
appTerm
166
ref
4372
remove
appTerm
appTerm
absTerm
4801
def
347
ref
appTerm
4802
def
betaConv
25
ref
354
ref
4801
ref
appTerm
4803
def
absTerm
4804
def
53
ref
appTerm
4805
def
betaConv
nil
159
ref
4804
ref
appTerm
4806
def
axiom
nil
25
ref
4806
remove
nil
cons
cons
43
ref
4805
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4804
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4803
remove
nil
cons
cons
43
ref
4802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
4801
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
absThm
appThm
absThm
appThm
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
205
ref
392
ref
nil
2906
ref
1879
ref
cons
2905
ref
4022
ref
cons
2904
ref
4449
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
4719
ref
43
ref
52
ref
456
ref
66
ref
2914
ref
appTerm
2907
ref
appTerm
4807
def
appTerm
2912
ref
appTerm
appTerm
66
ref
4720
ref
2912
ref
appTerm
4808
def
appTerm
456
ref
2907
ref
appTerm
4809
def
2912
ref
appTerm
4810
def
appTerm
appTerm
nil
cons
4811
def
cons
nil
cons
4812
def
cons
nil
cons
cons
4813
def
76
ref
subst
4813
remove
107
ref
subst
52
ref
"_590"
3
ref
var
4814
def
52
ref
456
ref
66
ref
4814
remove
varTerm
4815
def
appTerm
2907
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
66
ref
456
ref
4815
remove
appTerm
2912
ref
appTerm
appTerm
4810
ref
appTerm
appTerm
absTerm
4816
def
2914
ref
appTerm
4817
def
appTerm
refl
4818
def
4816
ref
15
ref
appTerm
betaConv
appThm
77
ref
4817
remove
betaConv
appThm
4819
def
52
ref
456
ref
1464
ref
2907
ref
appTerm
4820
def
appTerm
2912
ref
appTerm
appTerm
66
ref
559
ref
2912
ref
appTerm
4821
def
appTerm
4810
ref
appTerm
appTerm
refl
appThm
trans
4816
remove
refl
4822
def
4735
ref
appThm
eqMp
sym
77
ref
1255
ref
4736
ref
1468
ref
subst
4823
def
appThm
2912
ref
refl
4824
def
appThm
2930
ref
567
ref
subst
4825
def
trans
appThm
153
ref
4825
ref
appThm
4810
ref
refl
4826
def
appThm
appThm
sym
nil
2950
ref
43
ref
2947
remove
66
ref
2912
ref
appTerm
4810
ref
appTerm
appTerm
nil
cons
4827
def
cons
nil
cons
4828
def
cons
nil
cons
cons
4829
def
76
ref
subst
4829
remove
107
ref
subst
52
ref
"_594"
3
ref
var
4830
def
52
ref
4830
remove
varTerm
4831
def
appTerm
66
ref
4831
ref
appTerm
4809
ref
4831
remove
appTerm
appTerm
appTerm
absTerm
4832
def
2912
ref
appTerm
4833
def
appTerm
refl
4834
def
4832
ref
15
ref
appTerm
betaConv
appThm
77
ref
4833
remove
betaConv
appThm
4835
def
533
ref
1464
ref
4809
ref
15
ref
appTerm
4836
def
appTerm
4837
def
appTerm
refl
appThm
trans
4832
remove
refl
4838
def
2963
ref
appThm
eqMp
sym
nil
96
ref
4837
remove
nil
cons
cons
nil
cons
nil
cons
cons
2513
ref
subst
518
ref
nil
96
ref
4836
ref
nil
cons
cons
nil
cons
nil
cons
cons
4839
def
1468
ref
subst
appThm
539
ref
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2965
ref
110
ref
4827
ref
cons
nil
cons
4840
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2969
ref
4828
remove
cons
nil
cons
cons
4841
def
76
ref
subst
4841
remove
107
ref
subst
4834
remove
"_592"
3
ref
var
4842
def
52
ref
4842
remove
varTerm
4843
def
appTerm
66
ref
4843
ref
appTerm
4809
ref
4843
remove
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4835
remove
1095
ref
155
ref
4809
ref
14
ref
appTerm
4844
def
appTerm
4845
def
appTerm
refl
appThm
trans
4838
remove
2973
ref
appThm
eqMp
sym
nil
96
ref
4845
remove
nil
cons
cons
nil
cons
nil
cons
cons
1099
ref
subst
nil
96
ref
4844
ref
nil
cons
cons
nil
cons
nil
cons
cons
4846
def
186
ref
subst
4736
ref
1700
ref
subst
4847
def
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2977
ref
4840
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2980
ref
nil
2977
ref
2981
ref
612
ref
4827
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
4811
ref
cons
nil
cons
4848
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
4812
remove
cons
nil
cons
cons
4849
def
76
ref
subst
4849
remove
107
ref
subst
4818
remove
"_588"
3
ref
var
4850
def
52
ref
456
ref
66
ref
4850
remove
varTerm
4851
def
appTerm
2907
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
66
ref
456
ref
4851
remove
appTerm
2912
ref
appTerm
appTerm
4810
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4819
remove
52
ref
456
ref
155
ref
2907
ref
appTerm
4852
def
appTerm
2912
ref
appTerm
appTerm
66
ref
587
ref
2912
ref
appTerm
4853
def
appTerm
4810
ref
appTerm
appTerm
refl
appThm
trans
4822
remove
4752
ref
appThm
eqMp
sym
77
ref
1255
ref
4736
ref
186
ref
subst
4854
def
appThm
4824
ref
appThm
appThm
153
ref
2930
ref
595
ref
subst
4855
def
appThm
4826
ref
appThm
nil
96
ref
4810
ref
nil
cons
4856
def
cons
nil
cons
nil
cons
cons
4857
def
186
ref
subst
trans
appThm
nil
20
ref
4856
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
4848
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
4811
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
4858
def
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
trans
nil
108
ref
4509
remove
cons
110
ref
4526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4859
def
122
ref
subst
eqMp
nil
25
ref
1430
ref
4798
ref
appTerm
nil
cons
cons
43
ref
4799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
4798
remove
nil
cons
cons
1455
ref
4710
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
4796
ref
appTerm
nil
cons
cons
43
ref
4797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4796
remove
nil
cons
cons
219
ref
4705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1858
ref
4793
ref
appTerm
nil
cons
cons
43
ref
4794
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
4793
remove
nil
cons
cons
1872
ref
4708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
4788
ref
appTerm
nil
cons
cons
43
ref
4789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4788
remove
nil
cons
cons
219
ref
4702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
108
ref
4782
remove
4715
ref
appTerm
nil
cons
cons
110
ref
4787
remove
4715
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
proveHyp
eqMp
subst
eqMp
nil
25
ref
4695
ref
cons
4860
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
4860
ref
nil
cons
nil
cons
cons
2642
ref
subst
4694
remove
122
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4691
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
4672
remove
nil
cons
4861
def
cons
510
ref
cons
nil
cons
cons
4862
def
76
ref
subst
4862
remove
107
ref
subst
nil
108
ref
4695
remove
cons
110
ref
4671
remove
nil
cons
4863
def
cons
nil
cons
cons
nil
cons
cons
4864
def
122
ref
subst
nil
4860
remove
43
ref
1885
ref
4665
ref
appTerm
4665
ref
appTerm
4865
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
"_11104"
1293
ref
var
4866
def
4699
ref
cons
nil
cons
nil
cons
cons
4281
ref
4866
remove
varTerm
4867
def
appTerm
4868
def
betaConv
nil
4284
remove
43
ref
4868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1870
ref
1871
ref
4281
remove
nil
cons
cons
1872
ref
4867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
4869
def
nil
25
ref
4667
remove
4865
remove
appTerm
nil
cons
cons
4870
def
43
ref
30
ref
4516
ref
4659
remove
appTerm
39
ref
appTerm
4665
remove
appTerm
4871
def
appTerm
4872
def
nil
cons
4873
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11123"
28
ref
var
4874
def
220
ref
cons
"_11122"
1411
ref
var
4875
def
4697
remove
cons
"_11124"
1293
ref
var
4876
def
4699
remove
cons
nil
cons
cons
cons
nil
cons
cons
4877
def
nil
2905
ref
456
ref
419
ref
1321
ref
4876
remove
varTerm
4878
def
appTerm
4879
def
appTerm
4880
def
appTerm
4881
def
419
ref
1885
ref
4878
ref
appTerm
1416
ref
4875
remove
varTerm
4882
def
appTerm
4883
def
4874
remove
varTerm
4884
def
appTerm
4885
def
appTerm
4886
def
appTerm
4887
def
appTerm
4888
def
nil
cons
cons
4889
def
2906
ref
30
ref
4516
remove
4882
ref
appTerm
4890
def
4884
ref
appTerm
4891
def
4878
ref
appTerm
4892
def
appTerm
4893
def
nil
cons
4894
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
4887
remove
nil
cons
4895
def
cons
2906
ref
4880
remove
nil
cons
4896
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
4879
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
4886
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
4897
def
4893
ref
refl
appThm
trans
4881
remove
refl
4898
def
nil
43
ref
4894
ref
cons
4899
def
25
ref
4895
ref
cons
nil
cons
4900
def
cons
nil
cons
cons
nil
2766
ref
59
ref
cons
2767
ref
97
ref
cons
nil
cons
cons
4901
def
nil
cons
cons
2766
ref
52
ref
456
ref
2768
ref
appTerm
4902
def
2769
ref
appTerm
4903
def
appTerm
456
ref
2769
ref
appTerm
4904
def
2768
ref
appTerm
appTerm
absTerm
4905
def
2769
ref
appTerm
4906
def
betaConv
2767
ref
159
ref
4905
ref
appTerm
4907
def
absTerm
4908
def
2768
ref
appTerm
4909
def
betaConv
nil
159
ref
4908
ref
appTerm
4910
def
axiom
nil
25
ref
4910
remove
nil
cons
cons
43
ref
4909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4908
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4907
remove
nil
cons
cons
43
ref
4906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4905
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
4911
def
subst
appThm
nil
306
ref
4895
ref
cons
4912
def
4899
remove
25
ref
4896
ref
cons
nil
cons
4913
def
cons
cons
nil
cons
cons
77
ref
nil
"t3"
3
ref
var
4914
def
336
ref
cons
4915
def
4901
remove
cons
nil
cons
cons
4914
ref
52
ref
4902
remove
4904
remove
4914
ref
varTerm
4916
def
appTerm
appTerm
4917
def
appTerm
456
ref
4903
remove
appTerm
4916
ref
appTerm
4918
def
appTerm
4919
def
absTerm
4920
def
4916
ref
appTerm
4921
def
betaConv
2766
ref
159
ref
4920
ref
appTerm
4922
def
absTerm
4923
def
2769
ref
appTerm
4924
def
betaConv
2767
ref
159
ref
4923
ref
appTerm
4925
def
absTerm
4926
def
2768
ref
appTerm
4927
def
betaConv
325
ref
2767
ref
325
ref
2766
ref
325
ref
4914
ref
4919
remove
assume
sym
52
ref
4918
remove
appTerm
4917
remove
appTerm
4928
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
159
ref
2767
ref
159
ref
2766
ref
159
ref
4914
ref
4928
remove
absTerm
4929
def
appTerm
4930
def
absTerm
4931
def
appTerm
4932
def
absTerm
4933
def
appTerm
4934
def
axiom
4935
def
eqMp
nil
25
ref
159
ref
4926
ref
appTerm
nil
cons
cons
43
ref
4927
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4926
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4925
remove
nil
cons
cons
43
ref
4924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4923
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4922
remove
nil
cons
cons
43
ref
4921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4920
remove
nil
cons
cons
20
ref
4916
ref
nil
cons
cons
nil
cons
4936
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4937
def
subst
appThm
nil
4915
remove
2766
ref
97
remove
cons
2767
ref
59
remove
cons
nil
cons
cons
cons
nil
cons
cons
4937
remove
subst
appThm
sym
1255
ref
4911
ref
appThm
312
ref
refl
4938
def
appThm
eqMp
4939
def
subst
trans
nil
2767
ref
4896
remove
cons
4940
def
2766
ref
4895
remove
cons
4941
def
4914
ref
4894
remove
cons
nil
cons
cons
cons
nil
cons
cons
4929
ref
4916
ref
appTerm
4942
def
betaConv
4931
ref
2769
ref
appTerm
4943
def
betaConv
4933
ref
2768
ref
appTerm
4944
def
betaConv
4935
remove
nil
25
ref
4934
remove
nil
cons
cons
43
ref
4944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4933
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4932
remove
nil
cons
cons
43
ref
4943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4931
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
4930
remove
nil
cons
cons
43
ref
4942
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
4929
remove
nil
cons
cons
4936
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4945
def
subst
1301
ref
66
ref
456
ref
4344
ref
419
ref
1886
ref
4885
remove
appTerm
appTerm
appTerm
appTerm
4946
def
30
ref
4891
remove
1308
ref
appTerm
4947
def
appTerm
appTerm
appTerm
66
ref
4946
ref
148
ref
4947
ref
appTerm
4884
ref
appTerm
appTerm
appTerm
4946
remove
1317
ref
4883
ref
4947
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
4948
def
4878
ref
appTerm
4949
def
betaConv
38
ref
1858
ref
1301
ref
66
ref
456
ref
4344
remove
419
ref
1886
ref
4883
ref
39
ref
appTerm
appTerm
appTerm
appTerm
appTerm
4950
def
30
ref
4890
remove
39
ref
appTerm
1308
ref
appTerm
4951
def
appTerm
appTerm
appTerm
66
ref
4950
ref
148
ref
4951
ref
appTerm
39
ref
appTerm
appTerm
appTerm
4950
remove
1317
remove
4883
ref
4951
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4952
def
4884
ref
appTerm
4953
def
betaConv
1417
ref
200
ref
38
ref
1858
ref
1301
ref
66
ref
4454
ref
4522
ref
appTerm
4954
def
appTerm
66
ref
4454
ref
4523
ref
appTerm
appTerm
4454
remove
4524
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4955
def
4882
ref
appTerm
4956
def
betaConv
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
nil
2906
ref
4472
remove
cons
4957
def
2905
ref
4522
remove
nil
cons
cons
2904
ref
4525
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
4719
ref
43
ref
52
ref
4720
remove
2913
ref
appTerm
appTerm
66
ref
4721
ref
appTerm
4808
remove
appTerm
appTerm
nil
cons
4958
def
cons
nil
cons
4959
def
cons
nil
cons
cons
4960
def
76
ref
subst
4960
remove
107
ref
subst
52
ref
"_586"
3
ref
var
4961
def
52
ref
456
ref
4961
remove
varTerm
appTerm
4962
def
2913
ref
appTerm
appTerm
66
ref
4962
ref
2907
ref
appTerm
appTerm
4962
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
4963
def
2914
ref
appTerm
4964
def
appTerm
refl
4965
def
4963
ref
15
ref
appTerm
betaConv
appThm
77
ref
4964
remove
betaConv
appThm
4966
def
52
ref
559
remove
2913
ref
appTerm
appTerm
66
ref
4733
ref
appTerm
4821
ref
appTerm
appTerm
refl
appThm
trans
4963
remove
refl
4967
def
4735
ref
appThm
eqMp
sym
77
ref
nil
96
ref
2913
ref
nil
cons
4968
def
cons
nil
cons
nil
cons
cons
4969
def
567
ref
subst
appThm
153
ref
4737
ref
appThm
4825
ref
appThm
appThm
nil
20
ref
4968
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
4958
ref
cons
nil
cons
4970
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
4959
remove
cons
nil
cons
cons
4971
def
76
ref
subst
4971
remove
107
ref
subst
4965
remove
"_584"
3
ref
var
4972
def
52
ref
456
ref
4972
remove
varTerm
appTerm
4973
def
2913
ref
appTerm
appTerm
66
ref
4973
ref
2907
ref
appTerm
appTerm
4973
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
4966
remove
52
ref
587
remove
2913
remove
appTerm
appTerm
66
ref
4751
ref
appTerm
4853
ref
appTerm
appTerm
refl
appThm
trans
4967
remove
4752
ref
appThm
eqMp
sym
77
ref
4969
remove
595
ref
subst
appThm
153
ref
4753
ref
appThm
4855
ref
appThm
1044
ref
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
4970
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
4958
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
4974
def
subst
153
ref
4954
remove
refl
appThm
nil
4957
remove
2905
ref
4523
remove
nil
cons
cons
2904
ref
4524
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
absThm
appThm
4859
remove
139
ref
subst
eqMp
nil
25
ref
1430
ref
4955
ref
appTerm
nil
cons
cons
43
ref
4956
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
4955
remove
nil
cons
cons
1455
ref
4882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
4952
ref
appTerm
nil
cons
cons
43
ref
4953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4952
remove
nil
cons
cons
219
ref
4884
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1858
ref
4948
ref
appTerm
nil
cons
cons
43
ref
4949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
4948
remove
nil
cons
cons
1872
ref
4878
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
4975
def
nil
108
ref
456
ref
4888
remove
appTerm
4976
def
4893
remove
appTerm
nil
cons
cons
110
ref
66
ref
4976
ref
148
ref
4892
ref
appTerm
4884
remove
appTerm
4977
def
appTerm
4978
def
appTerm
4976
remove
1316
ref
4878
remove
appTerm
4883
remove
4892
remove
appTerm
appTerm
4979
def
appTerm
4980
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
4981
def
122
ref
subst
proveHyp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
4873
remove
cons
43
ref
66
ref
148
ref
4871
ref
appTerm
39
ref
appTerm
4982
def
appTerm
4668
ref
4664
ref
4871
ref
appTerm
appTerm
4983
def
appTerm
4984
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
4869
ref
nil
4870
ref
43
ref
4982
remove
nil
cons
4985
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4877
ref
nil
4889
ref
2906
ref
4977
ref
nil
cons
4986
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
4897
ref
4977
remove
refl
appThm
trans
4898
ref
nil
43
ref
4986
ref
cons
4987
def
4900
ref
cons
nil
cons
cons
4911
ref
subst
appThm
nil
4912
ref
4987
remove
4913
ref
cons
cons
nil
cons
cons
4939
ref
subst
trans
nil
4940
ref
4941
ref
4914
ref
4986
remove
cons
nil
cons
cons
cons
nil
cons
cons
4945
ref
subst
4975
remove
4981
remove
139
ref
subst
proveHyp
4988
def
nil
108
ref
4978
remove
nil
cons
cons
110
ref
4980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4989
def
122
ref
subst
proveHyp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
4985
remove
cons
43
ref
4983
remove
nil
cons
cons
nil
cons
4990
def
cons
nil
cons
cons
107
ref
subst
proveHyp
4869
remove
nil
4870
remove
4990
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
4877
remove
nil
4889
remove
2906
ref
4979
ref
nil
cons
4991
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
4897
remove
4979
remove
refl
appThm
trans
4898
remove
nil
43
ref
4991
ref
cons
4992
def
4900
remove
cons
nil
cons
cons
4911
ref
subst
appThm
nil
4912
remove
4992
remove
4913
remove
cons
cons
nil
cons
cons
4939
ref
subst
trans
nil
4940
remove
4941
remove
4914
ref
4991
remove
cons
nil
cons
cons
cons
nil
cons
cons
4945
ref
subst
4988
remove
4989
remove
139
ref
subst
proveHyp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
25
ref
66
ref
4872
remove
appTerm
4984
remove
appTerm
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11132"
28
ref
var
4993
def
4871
remove
nil
cons
cons
nil
cons
nil
cons
cons
456
ref
419
ref
30
ref
4993
remove
varTerm
4994
def
appTerm
4995
def
appTerm
appTerm
refl
nil
2905
ref
4668
remove
4664
remove
4994
ref
appTerm
appTerm
4996
def
nil
cons
cons
2906
ref
148
ref
4994
ref
appTerm
39
ref
appTerm
4997
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
4719
ref
43
ref
52
ref
456
ref
2915
ref
appTerm
4998
def
4722
ref
appTerm
appTerm
419
ref
4807
remove
appTerm
appTerm
nil
cons
4999
def
cons
nil
cons
5000
def
cons
nil
cons
cons
5001
def
76
ref
subst
5001
remove
107
ref
subst
52
ref
"_618"
3
ref
var
5002
def
52
ref
456
ref
419
ref
5002
remove
varTerm
5003
def
appTerm
appTerm
4722
ref
appTerm
appTerm
419
ref
66
ref
5003
remove
appTerm
2907
ref
appTerm
appTerm
appTerm
absTerm
5004
def
2914
ref
appTerm
5005
def
appTerm
refl
5006
def
5004
ref
15
ref
appTerm
betaConv
appThm
77
ref
5005
remove
betaConv
appThm
5007
def
52
ref
2577
ref
4722
ref
appTerm
appTerm
419
ref
4820
remove
appTerm
appTerm
refl
appThm
trans
5004
remove
refl
5008
def
4735
ref
appThm
eqMp
sym
77
ref
2580
ref
4773
ref
appThm
4739
ref
595
ref
subst
trans
appThm
518
ref
4823
remove
appThm
539
ref
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
4999
ref
cons
nil
cons
5009
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
5000
remove
cons
nil
cons
cons
5010
def
76
ref
subst
5010
remove
107
ref
subst
5006
remove
"_616"
3
ref
var
5011
def
52
ref
456
ref
419
ref
5011
remove
varTerm
5012
def
appTerm
appTerm
4722
ref
appTerm
appTerm
419
ref
66
ref
5012
remove
appTerm
2907
ref
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5007
remove
52
ref
2588
ref
4722
ref
appTerm
appTerm
419
ref
4852
remove
appTerm
appTerm
refl
appThm
trans
5008
remove
4752
ref
appThm
eqMp
sym
77
ref
2590
ref
4773
ref
appThm
4739
ref
567
ref
subst
trans
appThm
518
ref
4854
remove
appThm
appThm
4774
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
5009
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
4999
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
5013
def
subst
appThm
nil
2905
ref
66
ref
4997
remove
appTerm
4996
remove
appTerm
5014
def
nil
cons
cons
2906
ref
4995
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5013
remove
subst
trans
nil
25
ref
66
ref
4995
remove
appTerm
5014
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2642
ref
subst
trans
4670
ref
4994
ref
appTerm
5015
def
betaConv
4864
remove
139
ref
subst
nil
25
ref
4863
remove
cons
43
ref
5015
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4670
remove
nil
cons
cons
219
ref
4994
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
108
ref
4861
remove
cons
5016
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
5016
remove
110
ref
4691
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
4689
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4687
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
4677
ref
734
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4678
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4677
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4683
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
4679
ref
734
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4680
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
4679
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4662
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
1430
ref
1455
ref
50
ref
4656
ref
1455
ref
varTerm
5017
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4657
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
4656
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4598
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4595
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
4576
remove
constTerm
"x"
4574
remove
var
5018
def
50
ref
4588
ref
5018
remove
varTerm
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4589
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4586
remove
4590
remove
4588
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4527
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4519
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
4499
remove
constTerm
"x"
4497
remove
var
5019
def
50
ref
4512
ref
5019
remove
varTerm
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4513
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4510
remove
4514
remove
4512
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4438
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4436
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
4411
remove
constTerm
"x"
4409
remove
var
5020
def
50
ref
4431
ref
5020
remove
varTerm
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
4432
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4421
remove
4433
remove
4431
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
4238
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
4241
remove
cons
110
ref
4314
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
4259
remove
cons
110
ref
4312
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
4267
ref
cons
5021
def
110
ref
4310
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
1792
remove
cons
5022
def
110
ref
4308
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
4276
remove
cons
5023
def
110
ref
4306
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
4283
remove
cons
110
ref
4304
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
2901
remove
cons
110
ref
4302
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
3999
remove
cons
5024
def
110
ref
4300
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
5024
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
3997
remove
thm
nil
3358
ref
"f"
3133
ref
var
5025
def
200
ref
38
ref
50
ref
1045
ref
149
ref
3779
ref
5025
ref
varTerm
5026
def
appTerm
5027
def
appTerm
5028
def
appTerm
5029
def
appTerm
3925
ref
"g"
3133
ref
var
5030
def
66
ref
3135
ref
5030
ref
varTerm
5031
def
appTerm
5032
def
appTerm
5033
def
66
ref
3345
ref
5031
ref
appTerm
5026
ref
appTerm
5034
def
appTerm
149
ref
3779
ref
5031
ref
appTerm
5035
def
appTerm
5036
def
appTerm
5037
def
appTerm
5038
def
absTerm
5039
def
appTerm
5040
def
appTerm
5041
def
absTerm
5042
def
appTerm
5043
def
absTerm
5044
def
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
5025
ref
nil
96
ref
5043
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
5042
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
5041
remove
nil
cons
5045
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5029
remove
nil
cons
5046
def
cons
43
ref
5040
ref
nil
cons
5047
def
cons
nil
cons
5048
def
cons
nil
cons
cons
5049
def
76
ref
subst
5049
remove
107
ref
subst
nil
1057
ref
110
ref
5028
ref
nil
cons
5050
def
cons
nil
cons
cons
nil
cons
cons
5051
def
122
ref
subst
5051
remove
139
ref
subst
nil
141
ref
5027
ref
nil
cons
5052
def
cons
5053
def
nil
cons
nil
cons
cons
442
ref
subst
5028
ref
assume
5054
def
eqMp
nil
25
ref
166
ref
35
ref
435
ref
423
ref
5027
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
5048
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
204
ref
35
ref
1796
ref
nil
3264
ref
5026
ref
nil
cons
5055
def
cons
5056
def
nil
cons
5057
def
nil
cons
cons
5058
def
3916
ref
subst
appThm
77
ref
1796
ref
2486
ref
141
ref
141
ref
66
ref
3785
ref
5026
ref
appTerm
5059
def
appTerm
5060
def
424
ref
appTerm
5061
def
absTerm
5062
def
142
ref
appTerm
betaConv
5063
def
absThm
appThm
appThm
appThm
2486
ref
141
ref
1796
ref
5063
remove
appThm
absThm
appThm
appThm
nil
344
ref
5062
remove
nil
cons
cons
3344
ref
cons
nil
cons
cons
345
ref
346
ref
52
ref
63
ref
4371
ref
appTerm
appTerm
238
ref
349
remove
appTerm
appTerm
absTerm
5064
def
347
ref
appTerm
5065
def
betaConv
25
ref
354
ref
5064
ref
appTerm
5066
def
absTerm
5067
def
53
ref
appTerm
5068
def
betaConv
nil
159
ref
5067
ref
appTerm
5069
def
axiom
nil
25
ref
5069
remove
nil
cons
cons
43
ref
5068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
5067
remove
nil
cons
cons
334
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5066
remove
nil
cons
cons
43
ref
5065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
5064
remove
nil
cons
cons
364
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
trans
absThm
appThm
appThm
5040
ref
refl
5070
def
appThm
sym
51
ref
77
ref
204
ref
35
ref
2486
ref
141
ref
35
ref
141
ref
435
ref
5061
remove
appTerm
absTerm
5071
def
absTerm
5072
def
36
ref
appTerm
betaConv
5073
def
279
ref
appThm
5071
ref
142
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
636
ref
4
ref
cons
opType
5074
def
4
ref
cons
opType
5075
def
constTerm
refl
5076
def
3274
ref
204
ref
35
ref
5073
remove
3274
ref
varTerm
5077
def
36
ref
appTerm
5078
def
refl
appThm
5071
remove
5078
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
421
ref
var
5072
remove
nil
cons
cons
nil
cons
nil
cons
cons
283
remove
213
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
appThm
5070
ref
appThm
77
ref
51
ref
5076
remove
3274
ref
3274
ref
166
ref
35
ref
435
ref
66
ref
3270
ref
5078
ref
appTerm
5026
ref
appTerm
appTerm
423
ref
5078
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5079
def
5077
remove
appTerm
betaConv
5080
def
absThm
appThm
appThm
5070
ref
appThm
appThm
158
ref
5075
remove
constTerm
refl
3274
ref
51
ref
5080
remove
appThm
5070
ref
appThm
absThm
appThm
appThm
nil
"p"
5074
ref
var
5079
remove
nil
cons
cons
5048
ref
cons
nil
cons
cons
"A"
637
remove
cons
nil
cons
23
ref
cons
5081
def
43
ref
52
ref
50
ref
2192
ref
appTerm
5082
def
55
ref
appTerm
appTerm
243
remove
appTerm
absTerm
5083
def
55
ref
appTerm
5084
def
betaConv
175
ref
159
ref
5083
ref
appTerm
5085
def
absTerm
5086
def
177
ref
appTerm
5087
def
betaConv
nil
354
ref
5086
ref
appTerm
5088
def
axiom
nil
25
ref
5088
remove
nil
cons
cons
43
ref
5087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
5086
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5085
remove
nil
cons
cons
43
ref
5084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
5083
remove
nil
cons
cons
335
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5089
def
subst
subst
eqMp
trans
sym
nil
"P"
5074
remove
var
"u"
636
remove
var
5090
def
50
ref
166
ref
35
ref
435
ref
66
ref
3270
ref
5090
ref
varTerm
5091
def
36
ref
appTerm
5092
def
appTerm
5026
ref
appTerm
5093
def
appTerm
423
ref
5092
ref
appTerm
5094
def
appTerm
5095
def
appTerm
5096
def
absTerm
5097
def
appTerm
5098
def
appTerm
5040
remove
appTerm
5099
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5081
remove
252
ref
subst
subst
5090
remove
nil
96
ref
5099
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5098
remove
nil
cons
5100
def
cons
5101
def
5048
remove
cons
nil
cons
cons
5102
def
76
ref
subst
5102
remove
107
ref
subst
5039
ref
3265
remove
5091
ref
appTerm
39
ref
appTerm
5103
def
appTerm
betaConv
sym
153
ref
nil
1111
ref
43
ref
52
ref
3135
ref
5103
ref
appTerm
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
3274
remove
5091
ref
nil
cons
cons
5104
def
nil
cons
nil
cons
cons
5105
def
3276
ref
nil
1111
ref
43
ref
3398
ref
14
ref
appTerm
nil
cons
5106
def
cons
nil
cons
cons
nil
cons
cons
5107
def
76
ref
subst
5107
remove
107
ref
subst
nil
96
ref
3402
ref
cons
nil
cons
nil
cons
cons
5108
def
102
ref
subst
nil
1111
ref
3407
ref
nil
cons
5109
def
cons
nil
cons
cons
5110
def
135
ref
subst
1794
remove
eqMp
eqMp
eqMp
nil
1057
ref
110
ref
5106
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
5111
def
subst
subst
eqMp
appThm
66
ref
3345
ref
5103
ref
appTerm
5026
ref
appTerm
appTerm
5112
def
refl
187
ref
5105
remove
1278
remove
38
ref
1316
ref
3777
remove
1
ref
2
ref
1412
ref
opType
5113
def
1412
remove
cons
opType
5114
def
constTerm
5115
def
1400
ref
1
ref
1960
ref
1
ref
28
ref
5113
ref
nil
cons
5116
def
cons
opType
nil
cons
cons
opType
constTerm
"f"
1960
ref
var
5117
def
varTerm
5118
def
appTerm
39
ref
appTerm
5119
def
appTerm
appTerm
1434
ref
1435
ref
1363
ref
292
ref
1439
remove
238
ref
35
ref
1440
ref
1384
ref
5118
ref
36
ref
appTerm
5120
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5121
def
39
ref
appTerm
5122
def
betaConv
5117
ref
200
ref
5121
ref
appTerm
5123
def
absTerm
5124
def
5118
ref
appTerm
5125
def
betaConv
nil
1976
ref
5124
ref
appTerm
5126
def
axiom
nil
25
ref
5126
remove
nil
cons
cons
43
ref
5125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2014
ref
2013
ref
5124
remove
nil
cons
cons
2055
remove
5118
ref
nil
cons
cons
nil
cons
5127
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5123
remove
nil
cons
cons
43
ref
5122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
5121
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
appThm
appThm
appThm
nil
96
ref
5112
remove
149
ref
1201
ref
1202
ref
238
ref
449
ref
1204
ref
238
ref
35
ref
1440
ref
3362
ref
5092
ref
appTerm
appTerm
absTerm
appTerm
5128
def
appTerm
absTerm
appTerm
absTerm
appTerm
5129
def
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
153
ref
nil
3262
ref
5055
ref
cons
5130
def
3264
ref
5103
remove
nil
cons
5131
def
cons
nil
cons
cons
nil
cons
cons
3269
ref
subst
205
ref
219
ref
51
ref
nil
5104
remove
3830
remove
nil
cons
cons
nil
cons
cons
3276
remove
1813
ref
subst
subst
appThm
3271
ref
5026
ref
appTerm
5132
def
refl
appThm
absThm
appThm
trans
appThm
nil
141
ref
5129
remove
nil
cons
cons
nil
cons
nil
cons
cons
442
ref
subst
204
ref
35
ref
1796
ref
77
ref
3719
ref
3465
ref
1202
ref
1463
ref
449
ref
1204
remove
refl
449
ref
5128
remove
absTerm
5133
def
454
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
5133
ref
36
ref
appTerm
betaConv
appThm
nil
175
ref
5133
remove
nil
cons
cons
nil
cons
nil
cons
cons
1214
ref
subst
eqMp
appThm
absThm
appThm
trans
appThm
sym
nil
218
ref
141
ref
50
ref
238
ref
35
ref
66
ref
3834
ref
5092
ref
appTerm
5134
def
appTerm
434
ref
appTerm
5135
def
absTerm
5136
def
appTerm
appTerm
5059
ref
appTerm
5137
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
5137
remove
nil
cons
5138
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
167
ref
35
ref
50
ref
5136
ref
36
ref
appTerm
5139
def
appTerm
5059
ref
appTerm
5140
def
absTerm
5141
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
5140
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5139
ref
nil
cons
5142
def
cons
43
ref
5059
ref
nil
cons
5143
def
cons
5144
def
nil
cons
5145
def
cons
nil
cons
cons
5146
def
76
ref
subst
5146
remove
107
ref
subst
5139
ref
betaConv
5139
remove
assume
eqMp
nil
25
ref
5135
remove
nil
cons
5147
def
cons
5145
ref
cons
nil
cons
cons
5148
def
135
ref
subst
proveHyp
5148
ref
76
ref
subst
5148
remove
107
ref
subst
nil
108
ref
5134
ref
nil
cons
cons
3952
remove
cons
nil
cons
cons
5149
def
122
ref
subst
5149
remove
139
ref
subst
5097
ref
36
ref
appTerm
5150
def
betaConv
nil
5101
remove
43
ref
5150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
5097
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5151
def
nil
25
ref
5096
remove
nil
cons
cons
5152
def
5145
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
2831
remove
5095
ref
refl
appThm
nil
96
ref
5095
remove
nil
cons
5153
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
5154
def
3270
ref
refl
5155
def
5134
remove
assume
appThm
5026
ref
refl
5156
def
appThm
appThm
sym
nil
25
ref
5153
ref
cons
5157
def
43
ref
5093
remove
nil
cons
5158
def
cons
nil
cons
cons
nil
cons
cons
5159
def
76
ref
subst
5159
remove
107
ref
subst
nil
108
ref
5158
ref
cons
110
ref
5094
ref
nil
cons
5160
def
cons
nil
cons
5161
def
cons
nil
cons
cons
5162
def
122
ref
subst
eqMp
nil
108
ref
5153
remove
cons
5163
def
110
ref
5158
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
5147
remove
cons
110
ref
5143
ref
cons
nil
cons
5164
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5142
remove
cons
5164
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
5141
remove
appTerm
nil
cons
cons
43
ref
5138
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
5136
remove
nil
cons
cons
5164
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
238
ref
35
ref
66
ref
3864
ref
5092
remove
appTerm
appTerm
434
ref
appTerm
absTerm
appTerm
appTerm
5132
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
166
ref
35
ref
435
ref
238
ref
443
ref
1703
ref
423
ref
5091
remove
444
ref
appTerm
appTerm
appTerm
absTerm
5165
def
appTerm
5166
def
appTerm
5167
def
absTerm
5168
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
167
ref
5168
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
5167
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1081
ref
43
ref
5166
remove
nil
cons
5169
def
cons
nil
cons
cons
nil
cons
cons
5170
def
76
ref
subst
5170
remove
107
ref
subst
5165
ref
36
ref
appTerm
betaConv
sym
5151
remove
nil
5152
remove
43
ref
1440
ref
5094
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
5154
remove
1922
ref
5094
remove
refl
appThm
nil
96
ref
5160
ref
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
sym
nil
5157
remove
43
ref
5160
remove
cons
nil
cons
cons
nil
cons
cons
5171
def
76
ref
subst
5171
remove
107
ref
subst
5162
remove
139
ref
subst
eqMp
nil
5163
remove
5161
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
213
ref
167
ref
5165
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
1074
ref
110
ref
5169
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
3357
ref
3358
ref
5039
ref
nil
cons
5172
def
cons
3359
ref
5131
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
5100
remove
cons
110
ref
5047
ref
cons
nil
cons
5173
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
5046
remove
cons
5173
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
5174
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
3354
ref
5044
remove
appTerm
thm
nil
801
ref
763
ref
3028
remove
237
ref
1
ref
1
ref
895
ref
4
ref
cons
opType
5175
def
4
ref
cons
opType
5176
def
constTerm
5177
def
"r"
895
ref
var
5178
def
66
ref
811
ref
913
ref
811
ref
909
ref
50
ref
1152
ref
appTerm
5179
def
1139
ref
5178
ref
varTerm
5180
def
918
ref
appTerm
5181
def
appTerm
5182
def
5180
ref
910
ref
appTerm
5183
def
appTerm
5184
def
appTerm
5185
def
absTerm
5186
def
appTerm
5187
def
absTerm
5188
def
appTerm
5189
def
appTerm
5190
def
1160
ref
1400
ref
1
ref
895
ref
1021
remove
cons
opType
constTerm
5191
def
5180
ref
appTerm
764
ref
appTerm
5192
def
appTerm
785
ref
appTerm
5193
def
appTerm
5194
def
absTerm
5195
def
appTerm
5196
def
appTerm
5197
def
absTerm
5198
def
nil
cons
cons
nil
cons
nil
cons
cons
805
ref
subst
763
ref
nil
96
ref
5197
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3027
ref
nil
cons
5199
def
cons
5200
def
43
ref
5196
ref
nil
cons
5201
def
cons
nil
cons
5202
def
cons
nil
cons
cons
5203
def
140
ref
subst
5203
ref
76
ref
subst
5203
remove
107
ref
subst
nil
5200
remove
43
ref
811
ref
909
ref
790
ref
812
ref
66
ref
911
ref
813
ref
appTerm
5204
def
appTerm
5205
def
815
ref
appTerm
5206
def
absTerm
5207
def
appTerm
absTerm
5208
def
appTerm
nil
cons
5209
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
51
ref
3041
remove
appThm
3042
remove
appThm
sym
nil
2767
ref
5209
ref
cons
2766
ref
419
ref
825
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2766
ref
52
ref
2772
remove
appTerm
2771
remove
appTerm
5210
def
absTerm
5211
def
2769
ref
appTerm
5212
def
betaConv
2767
ref
159
ref
5211
ref
appTerm
5213
def
absTerm
5214
def
2768
ref
appTerm
5215
def
betaConv
325
ref
2767
ref
325
ref
2766
ref
5210
remove
assume
sym
2773
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
2780
remove
eqMp
nil
25
ref
159
ref
5214
ref
appTerm
nil
cons
cons
43
ref
5215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
5214
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5213
remove
nil
cons
cons
43
ref
5212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
5211
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5216
def
subst
sym
51
ref
77
ref
518
ref
832
ref
909
ref
5208
ref
910
ref
appTerm
betaConv
5217
def
absThm
appThm
appThm
appThm
831
ref
909
ref
518
ref
5217
remove
appThm
absThm
appThm
appThm
nil
1177
ref
5208
remove
nil
cons
cons
nil
cons
nil
cons
cons
3048
remove
subst
eqMp
831
ref
909
ref
77
ref
518
ref
831
ref
812
ref
5207
ref
813
ref
appTerm
betaConv
5218
def
absThm
appThm
5219
def
appThm
appThm
832
ref
812
ref
518
ref
5218
ref
appThm
absThm
appThm
appThm
nil
1177
ref
5207
ref
nil
cons
cons
nil
cons
nil
cons
cons
5220
def
3047
remove
subst
eqMp
absThm
appThm
trans
appThm
1220
remove
2448
ref
subst
appThm
sym
nil
878
ref
909
ref
50
ref
909
ref
811
ref
812
ref
419
ref
5206
ref
appTerm
5221
def
absTerm
5222
def
appTerm
5223
def
absTerm
5224
def
910
ref
appTerm
5225
def
appTerm
825
ref
appTerm
5226
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
5226
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5225
ref
nil
cons
5227
def
cons
827
ref
cons
nil
cons
cons
5228
def
76
ref
subst
5228
remove
107
ref
subst
5225
ref
betaConv
5225
remove
assume
eqMp
nil
25
ref
5223
remove
nil
cons
5229
def
cons
5230
def
827
remove
cons
nil
cons
cons
5231
def
135
ref
subst
proveHyp
5231
ref
76
ref
subst
5231
remove
107
ref
subst
824
remove
910
ref
appTerm
betaConv
sym
nil
878
ref
812
ref
816
ref
820
remove
910
ref
appTerm
5232
def
appTerm
5233
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
812
ref
nil
96
ref
5233
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3049
ref
cons
43
ref
5232
ref
nil
cons
5234
def
cons
nil
cons
5235
def
cons
nil
cons
cons
5236
def
76
ref
subst
5236
remove
107
ref
subst
5222
ref
813
ref
appTerm
5237
def
betaConv
nil
5230
remove
43
ref
5237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5222
remove
nil
cons
cons
942
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5221
remove
nil
cons
cons
5235
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
518
ref
5205
remove
refl
nil
96
ref
3049
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
815
ref
assume
eqMp
appThm
nil
96
ref
5204
remove
nil
cons
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
appThm
nil
3059
ref
913
ref
929
ref
cons
5238
def
nil
cons
5239
def
cons
nil
cons
cons
1243
ref
subst
trans
appThm
5232
remove
refl
appThm
sym
nil
1004
remove
nil
cons
cons
909
ref
5179
ref
947
remove
appTerm
absTerm
5240
def
910
ref
appTerm
5241
def
betaConv
913
ref
811
ref
5240
ref
appTerm
5242
def
absTerm
5243
def
918
ref
appTerm
5244
def
betaConv
nil
811
ref
5243
ref
appTerm
5245
def
axiom
nil
25
ref
5245
remove
nil
cons
cons
43
ref
5244
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5243
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5242
remove
nil
cons
cons
43
ref
5241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5240
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5246
def
subst
eqMp
eqMp
eqMp
nil
108
ref
3049
remove
cons
110
ref
5234
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
768
ref
1019
remove
930
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
5229
remove
cons
110
ref
826
remove
cons
nil
cons
5247
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5227
remove
cons
5247
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
5224
ref
813
ref
appTerm
appTerm
825
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
790
ref
5224
ref
appTerm
appTerm
825
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5224
remove
nil
cons
cons
5247
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
5209
remove
cons
5202
ref
cons
nil
cons
cons
135
ref
subst
51
ref
832
ref
909
ref
77
ref
5219
remove
appThm
831
ref
812
ref
153
ref
5218
remove
appThm
832
ref
913
ref
50
ref
1140
ref
813
ref
appTerm
appTerm
5248
def
refl
5249
def
518
ref
5207
remove
918
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
absThm
appThm
appThm
5220
remove
1177
ref
52
ref
790
ref
1182
remove
appTerm
5250
def
appTerm
790
ref
909
ref
66
ref
1180
ref
appTerm
811
ref
913
ref
5179
ref
419
ref
1179
ref
918
ref
appTerm
5251
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5252
def
1179
ref
appTerm
5253
def
betaConv
nil
1186
ref
5252
ref
appTerm
5254
def
axiom
nil
25
ref
5254
remove
nil
cons
cons
43
ref
5253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1188
ref
1189
ref
5252
remove
nil
cons
cons
1191
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
absThm
appThm
appThm
5196
ref
refl
5255
def
appThm
sym
51
ref
77
ref
832
ref
909
ref
831
ref
812
ref
909
ref
812
ref
66
ref
5206
remove
appTerm
811
ref
913
ref
5248
ref
419
ref
66
ref
911
ref
918
ref
appTerm
5256
def
appTerm
5257
def
793
ref
918
ref
appTerm
785
ref
appTerm
5258
def
appTerm
appTerm
5259
def
appTerm
absTerm
appTerm
appTerm
absTerm
5260
def
absTerm
5261
def
910
ref
appTerm
betaConv
5262
def
813
ref
refl
5263
def
appThm
5260
ref
813
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
5177
ref
refl
5264
def
"f"
895
ref
var
5265
def
832
ref
909
ref
5262
remove
5265
ref
varTerm
5266
def
910
ref
appTerm
5267
def
refl
appThm
5260
remove
5267
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
818
ref
var
5261
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
761
remove
cons
5268
def
768
ref
cons
23
ref
cons
4395
ref
subst
subst
eqMp
5264
ref
5265
ref
77
ref
832
ref
909
ref
153
ref
909
ref
66
ref
911
ref
5267
ref
appTerm
5269
def
appTerm
793
ref
5267
ref
appTerm
785
ref
appTerm
5270
def
appTerm
absTerm
5271
def
910
ref
appTerm
betaConv
5272
def
appThm
909
ref
811
ref
913
ref
50
ref
1140
ref
5267
ref
appTerm
5273
def
appTerm
5259
remove
appTerm
absTerm
appTerm
absTerm
5274
def
910
ref
appTerm
betaConv
5275
def
appThm
absThm
appThm
appThm
153
ref
832
ref
909
ref
5272
remove
absThm
appThm
appThm
832
ref
909
ref
5275
remove
absThm
appThm
appThm
appThm
nil
1177
ref
5271
remove
nil
cons
cons
"q"
788
remove
var
5276
def
5274
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
769
ref
4356
ref
subst
5277
def
subst
eqMp
153
ref
77
ref
832
ref
909
ref
153
ref
909
ref
5269
remove
absTerm
5278
def
910
ref
appTerm
betaConv
5279
def
appThm
909
ref
5270
remove
absTerm
5280
def
910
ref
appTerm
betaConv
5281
def
appThm
absThm
appThm
appThm
153
ref
832
ref
909
ref
5279
remove
absThm
appThm
appThm
832
ref
909
ref
5281
remove
absThm
appThm
appThm
appThm
nil
1177
ref
5278
ref
nil
cons
cons
5276
ref
5280
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5277
ref
subst
eqMp
appThm
811
ref
5274
remove
appTerm
5282
def
refl
appThm
trans
absThm
appThm
trans
appThm
5255
ref
appThm
77
ref
51
ref
5264
ref
5265
ref
5265
ref
66
ref
66
ref
811
ref
5278
remove
appTerm
appTerm
811
ref
5280
remove
appTerm
appTerm
appTerm
5283
def
5282
remove
appTerm
absTerm
5284
def
5266
ref
appTerm
betaConv
5285
def
absThm
appThm
appThm
5255
ref
appThm
appThm
158
ref
5176
remove
constTerm
5286
def
refl
5287
def
5265
ref
51
ref
5285
remove
appThm
5255
ref
appThm
absThm
appThm
appThm
nil
"p"
5175
ref
var
5288
def
5284
remove
nil
cons
cons
5202
ref
cons
nil
cons
cons
"A"
896
ref
cons
nil
cons
5289
def
23
ref
cons
5290
def
5089
ref
subst
subst
eqMp
trans
sym
5287
ref
5265
ref
51
ref
5283
remove
refl
832
ref
909
ref
832
ref
913
ref
nil
306
ref
5258
ref
nil
cons
5291
def
cons
43
ref
5256
ref
nil
cons
cons
25
ref
5273
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
52
ref
63
ref
419
ref
66
ref
55
ref
appTerm
5292
def
312
ref
appTerm
5293
def
appTerm
5294
def
appTerm
appTerm
50
ref
5292
ref
53
ref
appTerm
appTerm
419
ref
312
ref
appTerm
5295
def
appTerm
appTerm
nil
cons
5296
def
cons
nil
cons
5297
def
cons
nil
cons
cons
5298
def
76
ref
subst
5298
remove
107
ref
subst
52
ref
"_12575"
3
ref
var
5299
def
52
ref
50
ref
5299
remove
varTerm
5300
def
appTerm
5294
ref
appTerm
appTerm
50
ref
5292
ref
5300
remove
appTerm
appTerm
5295
ref
appTerm
appTerm
absTerm
5301
def
53
ref
appTerm
5302
def
appTerm
refl
5303
def
5301
ref
15
ref
appTerm
betaConv
appThm
77
ref
5302
remove
betaConv
appThm
5304
def
52
ref
529
ref
5294
ref
appTerm
appTerm
50
ref
5292
ref
15
ref
appTerm
appTerm
5295
ref
appTerm
appTerm
refl
appThm
trans
5301
remove
refl
5305
def
2509
ref
appThm
eqMp
sym
77
ref
nil
96
ref
5294
ref
nil
cons
cons
nil
cons
nil
cons
cons
5306
def
600
ref
subst
appThm
51
ref
104
ref
1473
ref
subst
5307
def
appThm
5295
ref
refl
5308
def
appThm
nil
96
ref
5295
ref
nil
cons
5309
def
cons
nil
cons
nil
cons
cons
5310
def
600
ref
subst
5311
def
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
5296
ref
cons
nil
cons
5312
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
5297
remove
cons
nil
cons
cons
5313
def
76
ref
subst
5313
remove
107
ref
subst
5303
remove
"_12573"
3
ref
var
5314
def
52
ref
50
ref
5314
remove
varTerm
5315
def
appTerm
5294
ref
appTerm
appTerm
50
ref
5292
ref
5315
remove
appTerm
appTerm
5295
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5304
remove
52
ref
497
ref
5294
ref
appTerm
appTerm
50
ref
5292
ref
14
ref
appTerm
appTerm
5295
ref
appTerm
appTerm
refl
appThm
trans
5305
remove
2533
ref
appThm
eqMp
sym
77
ref
5306
remove
501
ref
subst
appThm
51
ref
104
ref
936
ref
subst
appThm
5308
remove
appThm
appThm
sym
nil
25
ref
2237
ref
15
ref
appTerm
5316
def
nil
cons
5317
def
cons
43
ref
52
ref
5294
remove
appTerm
127
ref
5295
ref
appTerm
appTerm
nil
cons
5318
def
cons
nil
cons
5319
def
cons
nil
cons
cons
5320
def
76
ref
subst
5320
remove
107
ref
subst
52
ref
"_12579"
3
ref
var
5321
def
52
ref
419
ref
66
ref
5321
remove
varTerm
5322
def
appTerm
312
ref
appTerm
appTerm
appTerm
50
ref
5322
remove
appTerm
5295
ref
appTerm
appTerm
absTerm
5323
def
55
ref
appTerm
5324
def
appTerm
refl
5325
def
5323
ref
15
ref
appTerm
betaConv
appThm
77
ref
5324
remove
betaConv
appThm
5326
def
52
ref
419
ref
1464
ref
312
ref
appTerm
5327
def
appTerm
appTerm
529
ref
5295
ref
appTerm
appTerm
refl
appThm
trans
5323
remove
refl
5328
def
5316
remove
assume
appThm
eqMp
sym
77
ref
518
ref
nil
96
ref
336
ref
cons
nil
cons
nil
cons
cons
5329
def
1468
ref
subst
5330
def
appThm
539
ref
trans
appThm
5311
remove
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
5317
ref
cons
110
ref
5318
ref
cons
nil
cons
5331
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
2237
remove
14
ref
appTerm
5332
def
nil
cons
5333
def
cons
5319
remove
cons
nil
cons
cons
5334
def
76
ref
subst
5334
remove
107
ref
subst
5325
remove
"_12577"
3
ref
var
5335
def
52
ref
419
ref
66
ref
5335
remove
varTerm
5336
def
appTerm
312
ref
appTerm
appTerm
appTerm
50
ref
5336
remove
appTerm
5295
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5326
remove
52
ref
419
ref
155
ref
312
ref
appTerm
5337
def
appTerm
appTerm
497
ref
5295
remove
appTerm
appTerm
refl
appThm
trans
5328
remove
5332
remove
assume
appThm
eqMp
sym
77
ref
518
ref
5329
ref
186
ref
subst
5338
def
appThm
appThm
5310
remove
501
ref
subst
appThm
nil
20
ref
5309
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
5333
remove
cons
5339
def
5331
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
ref
55
ref
appTerm
5340
def
betaConv
607
ref
nil
608
ref
43
ref
5340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
ref
335
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
5339
remove
110
ref
5317
remove
cons
612
ref
5318
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
2539
ref
5312
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
5296
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
absThm
appThm
absThm
appThm
appThm
appThm
5255
remove
appThm
absThm
appThm
sym
nil
"P"
5175
ref
var
5341
def
"next"
895
ref
var
5342
def
50
ref
66
ref
66
ref
811
ref
909
ref
911
ref
5342
ref
varTerm
5343
def
910
ref
appTerm
5344
def
appTerm
5345
def
absTerm
5346
def
appTerm
5347
def
appTerm
811
ref
909
ref
793
ref
5344
ref
appTerm
785
ref
appTerm
5348
def
absTerm
5349
def
appTerm
5350
def
appTerm
5351
def
appTerm
811
ref
909
ref
811
ref
913
ref
50
ref
5257
remove
1140
ref
5344
remove
appTerm
appTerm
appTerm
419
ref
5258
ref
appTerm
5352
def
appTerm
absTerm
appTerm
absTerm
5353
def
appTerm
5354
def
appTerm
5355
def
appTerm
5196
ref
appTerm
5356
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5290
ref
252
ref
subst
5357
def
subst
5342
remove
nil
96
ref
5356
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5355
remove
nil
cons
5358
def
cons
5202
ref
cons
nil
cons
cons
5359
def
76
ref
subst
5359
remove
107
ref
subst
nil
108
ref
5351
remove
nil
cons
cons
110
ref
5354
remove
nil
cons
5360
def
cons
nil
cons
cons
nil
cons
cons
5361
def
122
ref
subst
5361
remove
139
ref
subst
nil
108
ref
5347
remove
nil
cons
5362
def
cons
110
ref
5350
remove
nil
cons
5363
def
cons
nil
cons
cons
nil
cons
cons
5364
def
122
ref
subst
5364
remove
139
ref
subst
5264
ref
"fn"
895
ref
var
5365
def
66
ref
866
ref
5365
remove
varTerm
5366
def
1161
ref
appTerm
appTerm
5343
ref
1161
ref
appTerm
5367
def
appTerm
appTerm
refl
832
ref
909
ref
866
ref
5366
ref
1142
ref
appTerm
appTerm
refl
"_12570"
760
ref
var
5368
def
909
ref
5343
ref
"Number.Natural.+"
const
897
ref
constTerm
5369
def
5368
remove
varTerm
appTerm
"Number.Natural.bit1"
const
895
ref
constTerm
1161
ref
appTerm
5370
def
appTerm
appTerm
absTerm
absTerm
5371
def
5366
remove
910
ref
appTerm
5372
def
appTerm
betaConv
910
ref
refl
5373
def
appThm
3104
ref
5343
ref
5369
ref
5372
remove
appTerm
5370
ref
appTerm
appTerm
absTerm
910
ref
appTerm
betaConv
trans
appThm
absThm
appThm
appThm
absThm
appThm
nil
"f"
897
remove
var
5371
remove
nil
cons
cons
"e"
760
ref
var
5367
ref
nil
cons
5374
def
cons
nil
cons
cons
nil
cons
cons
769
ref
"f"
1
ref
26
ref
1
ref
760
ref
27
ref
cons
opType
5375
def
nil
cons
5376
def
cons
opType
5377
def
var
5378
def
"Data.Bool.?!"
const
5379
def
1
ref
1
ref
5375
ref
4
ref
cons
opType
5380
def
4
ref
cons
opType
5381
def
constTerm
"fn"
5375
remove
var
5382
def
66
ref
458
ref
5382
remove
varTerm
5383
def
1161
ref
appTerm
appTerm
"e"
26
ref
var
5384
def
varTerm
5385
def
appTerm
appTerm
811
ref
909
ref
458
ref
5383
ref
1142
ref
appTerm
appTerm
5378
remove
varTerm
5386
def
5383
remove
910
ref
appTerm
appTerm
910
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5387
def
appTerm
5388
def
absTerm
5389
def
5386
ref
appTerm
5390
def
betaConv
5384
remove
158
ref
1
ref
1
ref
5377
ref
4
ref
cons
opType
5391
def
4
ref
cons
opType
constTerm
5389
ref
appTerm
5392
def
absTerm
5393
def
5385
ref
appTerm
5394
def
betaConv
nil
166
ref
5393
ref
appTerm
5395
def
axiom
nil
25
ref
5395
remove
nil
cons
cons
43
ref
5394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
5393
remove
nil
cons
cons
35
ref
5385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5392
remove
nil
cons
cons
43
ref
5390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
5377
ref
nil
cons
cons
nil
cons
"P"
5391
remove
var
5389
remove
nil
cons
cons
"x"
5377
remove
var
5386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5388
remove
nil
cons
cons
43
ref
237
ref
5381
remove
constTerm
5387
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
5376
remove
cons
nil
cons
"P"
5380
remove
var
5387
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
25
ref
5379
remove
165
remove
constTerm
5396
def
168
ref
appTerm
5397
def
nil
cons
5398
def
cons
5399
def
43
ref
738
ref
cons
nil
cons
cons
nil
cons
cons
5400
def
76
ref
subst
5400
remove
107
ref
subst
nil
5399
remove
43
ref
66
ref
239
remove
appTerm
166
ref
35
ref
166
ref
449
ref
50
ref
66
ref
171
remove
appTerm
168
ref
454
ref
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
5401
def
appTerm
5402
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
5403
def
135
ref
subst
52
ref
5397
ref
appTerm
5404
def
refl
175
ref
66
ref
2167
remove
appTerm
166
ref
35
ref
166
ref
449
ref
50
ref
4349
ref
1205
remove
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5405
def
168
remove
appTerm
betaConv
appThm
nil
181
remove
5396
remove
appTerm
5405
remove
appTerm
axiom
182
remove
appThm
eqMp
nil
25
ref
5404
remove
5402
ref
appTerm
nil
cons
cons
43
ref
50
ref
5397
remove
appTerm
5402
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
5403
remove
752
remove
subst
eqMp
eqMp
nil
753
remove
110
ref
5401
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
proveHyp
eqMp
nil
108
ref
5398
remove
cons
110
ref
738
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
subst
eqMp
subst
subst
eqMp
nil
25
ref
5177
remove
5265
ref
66
ref
866
ref
5266
ref
1161
ref
appTerm
appTerm
5367
ref
appTerm
appTerm
811
ref
909
ref
866
ref
5266
ref
1142
ref
appTerm
appTerm
5343
ref
5369
ref
5267
ref
appTerm
5370
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
5406
def
absTerm
5407
def
appTerm
5408
def
nil
cons
cons
5202
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5341
ref
5178
ref
50
ref
66
ref
866
ref
5180
ref
1161
ref
appTerm
5409
def
appTerm
5367
ref
appTerm
5410
def
appTerm
811
ref
909
ref
866
ref
5180
ref
1142
ref
appTerm
5411
def
appTerm
5343
ref
5369
ref
5183
ref
appTerm
5370
ref
appTerm
5412
def
appTerm
5413
def
appTerm
absTerm
5414
def
appTerm
5415
def
appTerm
5416
def
appTerm
5194
ref
appTerm
5417
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5357
ref
subst
5178
ref
nil
96
ref
5417
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5416
remove
nil
cons
5418
def
cons
43
ref
5194
ref
nil
cons
5419
def
cons
nil
cons
5420
def
cons
nil
cons
cons
5421
def
76
ref
subst
5421
remove
107
ref
subst
nil
108
ref
5410
ref
nil
cons
cons
110
ref
5415
remove
nil
cons
5422
def
cons
nil
cons
cons
nil
cons
cons
5423
def
122
ref
subst
5423
remove
139
ref
subst
nil
878
ref
5188
remove
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
913
ref
nil
96
ref
5187
remove
nil
cons
5424
def
cons
nil
cons
nil
cons
cons
102
ref
subst
51
ref
913
ref
419
ref
1162
ref
appTerm
5425
def
absTerm
5426
def
918
ref
appTerm
5427
def
betaConv
nil
811
ref
5426
ref
appTerm
5428
def
axiom
nil
25
ref
5428
remove
nil
cons
cons
43
ref
5427
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5426
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5425
remove
nil
cons
cons
43
ref
52
ref
1162
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
1162
ref
nil
cons
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
5182
ref
5409
ref
appTerm
5429
def
refl
appThm
nil
96
ref
5429
ref
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
sym
94
ref
eqMp
nil
25
ref
50
ref
1162
remove
appTerm
5429
remove
appTerm
5430
def
nil
cons
cons
43
ref
811
ref
909
ref
50
ref
5185
ref
appTerm
50
ref
1143
remove
appTerm
5182
ref
5411
remove
appTerm
appTerm
5431
def
appTerm
5432
def
absTerm
5433
def
appTerm
5434
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
5433
remove
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
5432
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5185
ref
nil
cons
5435
def
cons
43
ref
5431
remove
nil
cons
5436
def
cons
nil
cons
cons
nil
cons
cons
5437
def
76
ref
subst
5437
remove
107
ref
subst
51
ref
1254
remove
appThm
5182
ref
refl
5414
ref
910
ref
appTerm
5438
def
betaConv
nil
25
ref
5422
remove
cons
43
ref
5438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5414
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5439
def
appThm
appThm
sym
nil
25
ref
1247
remove
nil
cons
5440
def
cons
43
ref
5182
ref
5413
ref
appTerm
nil
cons
5441
def
cons
nil
cons
5442
def
cons
nil
cons
cons
5443
def
76
ref
subst
5443
remove
107
ref
subst
nil
25
ref
1152
ref
nil
cons
5444
def
cons
5445
def
5442
ref
cons
nil
cons
cons
5446
def
76
ref
subst
5446
remove
107
ref
subst
3104
ref
66
ref
5182
remove
3105
ref
appTerm
appTerm
1139
ref
3105
ref
appTerm
5447
def
5413
ref
appTerm
appTerm
absTerm
5448
def
5183
ref
appTerm
betaConv
sym
nil
5445
ref
43
ref
5184
remove
nil
cons
5449
def
cons
nil
cons
cons
nil
cons
cons
5450
def
135
ref
subst
5185
remove
assume
eqMp
nil
25
ref
5449
remove
cons
43
ref
1139
ref
5183
ref
appTerm
5413
ref
appTerm
5451
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
909
ref
5413
ref
nil
cons
5452
def
cons
913
ref
5183
ref
nil
cons
5453
def
cons
nil
cons
5454
def
cons
nil
cons
cons
3074
remove
subst
1003
ref
nil
5454
remove
nil
cons
cons
913
ref
866
ref
3060
ref
appTerm
5369
ref
918
ref
appTerm
5370
ref
appTerm
5455
def
appTerm
5456
def
absTerm
5457
def
918
ref
appTerm
5458
def
betaConv
nil
811
ref
5457
ref
appTerm
5459
def
axiom
5460
def
nil
25
ref
5459
remove
nil
cons
cons
43
ref
5458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5457
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
5413
ref
refl
appThm
nil
909
ref
5412
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
96
ref
5345
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
5346
ref
910
ref
appTerm
5461
def
betaConv
nil
25
ref
5362
remove
cons
43
ref
5461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5346
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
5462
def
subst
trans
trans
sym
94
ref
eqMp
5463
def
eqMp
eqMp
768
ref
878
ref
5448
ref
nil
cons
cons
812
ref
5453
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
790
ref
5448
remove
appTerm
nil
cons
cons
5442
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
944
ref
5452
remove
cons
913
ref
5181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
944
ref
50
ref
790
ref
909
ref
66
ref
1152
ref
appTerm
5464
def
1235
ref
949
ref
appTerm
appTerm
5465
def
absTerm
5466
def
appTerm
5467
def
appTerm
5468
def
1140
ref
949
ref
appTerm
5469
def
appTerm
5470
def
absTerm
5471
def
949
ref
appTerm
5472
def
betaConv
913
ref
811
ref
5471
ref
appTerm
5473
def
absTerm
5474
def
918
ref
appTerm
5475
def
betaConv
nil
811
ref
913
ref
811
ref
909
ref
811
ref
944
ref
50
ref
5465
ref
appTerm
5469
ref
appTerm
absTerm
5476
def
appTerm
5477
def
absTerm
5478
def
appTerm
5479
def
absTerm
5480
def
appTerm
5481
def
axiom
nil
25
ref
5481
ref
nil
cons
5482
def
cons
5483
def
43
ref
811
ref
5474
ref
appTerm
nil
cons
5484
def
cons
nil
cons
cons
nil
cons
cons
5485
def
135
ref
subst
proveHyp
5485
ref
76
ref
subst
5485
remove
107
ref
subst
nil
878
ref
5474
remove
nil
cons
cons
5486
def
nil
cons
nil
cons
cons
879
ref
subst
913
ref
nil
96
ref
5473
remove
nil
cons
5487
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
878
ref
5471
remove
nil
cons
cons
5488
def
nil
cons
nil
cons
cons
879
ref
subst
944
ref
nil
96
ref
5470
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5467
remove
nil
cons
5489
def
cons
5490
def
43
ref
5469
ref
nil
cons
5491
def
cons
nil
cons
5492
def
cons
nil
cons
cons
5493
def
76
ref
subst
5493
remove
107
ref
subst
nil
5483
ref
5492
ref
cons
nil
cons
cons
5494
def
135
ref
subst
nil
5490
remove
43
ref
50
ref
5481
remove
appTerm
5469
ref
appTerm
5495
def
nil
cons
5496
def
cons
nil
cons
5497
def
cons
nil
cons
cons
135
ref
subst
nil
878
ref
909
ref
50
ref
5466
ref
910
ref
appTerm
5498
def
appTerm
5495
ref
appTerm
5499
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
5499
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5498
ref
nil
cons
5500
def
cons
5497
ref
cons
nil
cons
cons
5501
def
76
ref
subst
5501
remove
107
ref
subst
5498
ref
betaConv
5498
remove
assume
eqMp
nil
25
ref
5465
remove
nil
cons
5502
def
cons
5503
def
5497
remove
cons
nil
cons
cons
5504
def
135
ref
subst
proveHyp
5504
ref
76
ref
subst
5504
remove
107
ref
subst
5494
ref
76
ref
subst
5494
remove
107
ref
subst
nil
5503
remove
5492
ref
cons
nil
cons
cons
135
ref
subst
5476
ref
949
ref
appTerm
5505
def
betaConv
5478
ref
910
ref
appTerm
5506
def
betaConv
5480
ref
918
ref
appTerm
5507
def
betaConv
nil
5483
remove
43
ref
5507
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5480
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5479
remove
nil
cons
cons
43
ref
5506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5478
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5477
remove
nil
cons
cons
43
ref
5505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5476
remove
nil
cons
cons
995
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5482
remove
cons
5508
def
110
ref
5491
remove
cons
nil
cons
5509
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
5502
remove
cons
110
ref
5496
remove
cons
nil
cons
5510
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5500
remove
cons
5510
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
5466
ref
813
ref
appTerm
appTerm
5495
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
5468
remove
5495
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5466
remove
nil
cons
cons
5510
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5489
remove
cons
5509
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
5508
remove
110
ref
5484
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
5484
remove
cons
43
ref
5475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
5486
remove
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5487
remove
cons
43
ref
5472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
5488
remove
995
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
108
ref
5444
ref
cons
110
ref
5441
ref
cons
nil
cons
5511
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1246
ref
nil
cons
5512
def
cons
5442
remove
cons
nil
cons
cons
5513
def
76
ref
subst
5513
remove
107
ref
subst
52
ref
"_12583"
760
ref
var
5514
def
1139
ref
5180
ref
5514
remove
varTerm
appTerm
appTerm
5413
remove
appTerm
absTerm
5515
def
918
ref
appTerm
5516
def
appTerm
refl
5515
ref
910
ref
appTerm
betaConv
appThm
77
ref
5516
remove
betaConv
appThm
5451
remove
refl
appThm
trans
5515
remove
refl
1246
ref
assume
appThm
eqMp
sym
5463
remove
eqMp
eqMp
nil
108
ref
5512
remove
cons
5517
def
5511
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
5517
remove
110
ref
5444
remove
cons
612
ref
5441
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
5440
remove
cons
5511
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5435
remove
cons
110
ref
5436
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
5430
remove
appTerm
5434
remove
appTerm
nil
cons
cons
43
ref
5424
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
5186
ref
1161
ref
appTerm
betaConv
appThm
832
ref
909
ref
51
ref
5186
ref
910
ref
appTerm
betaConv
5518
def
appThm
5186
ref
1142
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
832
ref
909
ref
5518
remove
absThm
appThm
appThm
nil
1177
ref
5186
remove
nil
cons
cons
nil
cons
nil
cons
cons
1192
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
25
ref
5189
ref
nil
cons
5519
def
cons
5520
def
43
ref
50
ref
5189
ref
appTerm
5521
def
5193
ref
appTerm
5522
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
5520
ref
43
ref
5193
ref
nil
cons
5523
def
cons
5524
def
nil
cons
cons
nil
cons
cons
5525
def
76
ref
subst
5525
remove
107
ref
subst
nil
1125
ref
1118
remove
cons
763
ref
5192
ref
nil
cons
5526
def
cons
nil
cons
cons
nil
cons
cons
5527
def
769
ref
141
ref
1510
remove
66
ref
150
ref
appTerm
5528
def
3141
ref
appTerm
5529
def
appTerm
5530
def
absTerm
5531
def
142
ref
appTerm
5532
def
betaConv
38
ref
200
ref
5531
ref
appTerm
5533
def
absTerm
5534
def
39
ref
appTerm
5535
def
betaConv
205
ref
38
ref
205
ref
141
ref
5530
remove
assume
sym
52
ref
5529
remove
appTerm
1509
remove
appTerm
5536
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
200
ref
38
ref
200
ref
141
ref
5536
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
200
ref
5534
ref
appTerm
nil
cons
cons
43
ref
5535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
5534
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5533
remove
nil
cons
cons
43
ref
5532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
5531
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5537
def
subst
subst
153
ref
5527
remove
1197
ref
subst
77
ref
832
ref
812
ref
50
ref
814
ref
5192
ref
appTerm
appTerm
refl
812
ref
815
remove
absTerm
5538
def
813
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
832
ref
812
ref
50
ref
814
remove
764
ref
appTerm
5539
def
appTerm
refl
5538
ref
5180
ref
813
ref
appTerm
5540
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1177
ref
5538
remove
nil
cons
cons
766
ref
5265
ref
5180
ref
nil
cons
5541
def
cons
5542
def
nil
cons
5543
def
cons
5544
def
cons
nil
cons
cons
767
remove
5268
remove
nil
cons
cons
23
ref
cons
5545
def
3294
ref
subst
subst
eqMp
trans
appThm
nil
1125
remove
5526
remove
cons
nil
cons
nil
cons
cons
1197
remove
subst
appThm
trans
sym
153
ref
832
ref
812
ref
51
ref
1270
ref
appThm
793
ref
5540
ref
appTerm
785
ref
appTerm
5546
def
refl
appThm
nil
96
ref
5546
ref
nil
cons
5547
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
absThm
appThm
appThm
832
ref
812
ref
1198
remove
nil
766
remove
5542
ref
860
remove
nil
cons
cons
cons
nil
cons
cons
5545
ref
1813
ref
subst
subst
831
ref
857
ref
66
ref
866
ref
813
ref
appTerm
5548
def
5180
ref
861
ref
appTerm
5549
def
appTerm
5550
def
appTerm
refl
937
remove
1270
ref
subst
appThm
nil
96
ref
5550
ref
nil
cons
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
absThm
appThm
trans
appThm
absThm
appThm
appThm
sym
793
ref
refl
5551
def
5410
remove
assume
5552
def
appThm
785
ref
refl
5553
def
appThm
nil
909
ref
1161
ref
nil
cons
5554
def
cons
nil
cons
nil
cons
cons
nil
96
ref
5348
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
5349
ref
910
ref
appTerm
5555
def
betaConv
nil
25
ref
5363
remove
cons
43
ref
5555
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5349
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
5556
def
subst
5557
def
trans
sym
94
ref
eqMp
nil
25
ref
793
ref
5409
ref
appTerm
785
ref
appTerm
5558
def
nil
cons
cons
43
ref
811
ref
812
ref
50
ref
5546
ref
appTerm
793
ref
5180
ref
1141
ref
813
ref
appTerm
5559
def
appTerm
appTerm
785
ref
appTerm
5560
def
appTerm
5561
def
absTerm
5562
def
appTerm
5563
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
5562
remove
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
812
ref
nil
96
ref
5561
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5547
ref
cons
43
ref
5560
remove
nil
cons
5564
def
cons
nil
cons
cons
nil
cons
cons
5565
def
76
ref
subst
5565
remove
107
ref
subst
5551
remove
nil
3059
remove
nil
cons
nil
cons
cons
5439
ref
subst
appThm
5553
remove
appThm
nil
909
ref
5369
ref
5540
ref
appTerm
5370
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
5556
ref
subst
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
5547
remove
cons
110
ref
5564
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
5558
remove
appTerm
5563
remove
appTerm
nil
cons
cons
43
ref
811
ref
812
ref
5546
remove
absTerm
5566
def
appTerm
nil
cons
5567
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
5566
ref
1161
ref
appTerm
betaConv
appThm
832
ref
812
ref
51
ref
5566
ref
813
ref
appTerm
betaConv
5568
def
appThm
5566
ref
5559
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
832
ref
812
ref
5568
remove
absThm
appThm
appThm
nil
1177
ref
5566
remove
nil
cons
cons
nil
cons
nil
cons
cons
1192
remove
subst
eqMp
eqMp
nil
25
ref
5567
remove
cons
43
ref
811
ref
812
ref
816
remove
790
ref
857
ref
5550
remove
absTerm
appTerm
appTerm
5569
def
absTerm
5570
def
appTerm
nil
cons
cons
nil
cons
5571
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
909
ref
50
ref
811
ref
913
ref
5179
ref
50
ref
5258
ref
appTerm
790
ref
857
ref
1245
ref
5549
ref
appTerm
absTerm
appTerm
5572
def
appTerm
5573
def
appTerm
absTerm
appTerm
5574
def
appTerm
50
ref
3034
ref
appTerm
790
ref
857
ref
866
ref
910
ref
appTerm
5575
def
5549
remove
appTerm
absTerm
5576
def
appTerm
5577
def
appTerm
appTerm
5578
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
5578
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
306
ref
5577
ref
nil
cons
5579
def
cons
5580
def
43
ref
3099
remove
cons
25
ref
5574
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3412
ref
subst
51
ref
153
ref
832
ref
913
ref
nil
306
ref
5572
ref
nil
cons
cons
43
ref
5291
remove
cons
5445
ref
nil
cons
cons
cons
nil
cons
cons
3412
remove
subst
absThm
appThm
appThm
3034
ref
refl
appThm
appThm
5577
ref
refl
5581
def
appThm
trans
sym
nil
25
ref
66
ref
811
ref
913
ref
50
ref
5464
ref
5258
remove
appTerm
5582
def
appTerm
5572
remove
appTerm
absTerm
5583
def
appTerm
5584
def
appTerm
3034
ref
appTerm
nil
cons
5585
def
cons
43
ref
5579
ref
cons
nil
cons
5586
def
cons
nil
cons
cons
5587
def
76
ref
subst
5587
remove
107
ref
subst
nil
108
ref
5584
remove
nil
cons
5588
def
cons
3130
remove
cons
nil
cons
cons
5589
def
122
ref
subst
5589
remove
139
ref
subst
nil
25
ref
419
ref
790
ref
913
ref
5582
ref
absTerm
5590
def
appTerm
5591
def
appTerm
nil
cons
5592
def
cons
5593
def
5586
ref
cons
nil
cons
cons
5594
def
76
ref
subst
5594
remove
107
ref
subst
5576
ref
1161
ref
appTerm
betaConv
sym
nil
909
ref
5409
remove
nil
cons
5595
def
cons
5596
def
5239
ref
cons
nil
cons
cons
909
ref
52
ref
1246
ref
appTerm
948
remove
5256
ref
appTerm
5597
def
appTerm
5598
def
absTerm
5599
def
910
ref
appTerm
5600
def
betaConv
913
ref
811
ref
5599
ref
appTerm
5601
def
absTerm
5602
def
918
ref
appTerm
5603
def
betaConv
832
ref
913
ref
832
ref
909
ref
5598
remove
assume
sym
52
ref
5597
remove
appTerm
1246
ref
appTerm
5604
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
811
ref
913
ref
811
ref
909
ref
5604
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
811
ref
5602
ref
appTerm
nil
cons
cons
43
ref
5603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5602
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5601
remove
nil
cons
cons
43
ref
5600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5599
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5605
def
subst
153
ref
nil
913
ref
5595
remove
cons
nil
cons
nil
cons
cons
909
ref
52
ref
5256
ref
appTerm
419
ref
1152
ref
appTerm
5606
def
appTerm
5607
def
absTerm
5608
def
910
ref
appTerm
5609
def
betaConv
913
ref
811
ref
5608
ref
appTerm
5610
def
absTerm
5611
def
918
ref
appTerm
5612
def
betaConv
832
ref
913
ref
832
ref
909
ref
5607
remove
assume
sym
52
ref
5606
ref
appTerm
5256
ref
appTerm
5613
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
811
ref
913
ref
811
ref
909
ref
5613
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
811
ref
5611
ref
appTerm
nil
cons
cons
43
ref
5612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5611
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5610
remove
nil
cons
cons
43
ref
5609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5608
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5614
def
subst
518
ref
1139
ref
refl
5615
def
5552
ref
appThm
5373
ref
appThm
appThm
trans
appThm
nil
5238
ref
5596
remove
nil
cons
cons
nil
cons
cons
5614
ref
subst
518
ref
1235
ref
refl
5616
def
5552
remove
appThm
appThm
trans
appThm
trans
sym
nil
108
ref
1139
ref
5367
ref
appTerm
910
ref
appTerm
5617
def
nil
cons
5618
def
cons
5619
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
5618
ref
cons
510
ref
cons
nil
cons
cons
5620
def
76
ref
subst
5620
remove
107
ref
subst
nil
5593
remove
510
ref
cons
nil
cons
cons
135
ref
subst
nil
96
ref
5592
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
nil
96
ref
5591
ref
nil
cons
5621
def
cons
nil
cons
nil
cons
cons
5622
def
2448
ref
subst
trans
sym
5590
ref
5367
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
5618
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5617
ref
assume
eqMp
appThm
5557
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
768
ref
878
ref
5590
ref
nil
cons
5623
def
cons
812
ref
5374
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
5619
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
419
ref
5617
remove
appTerm
nil
cons
cons
43
ref
419
ref
1235
ref
5367
ref
appTerm
5624
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
108
ref
5624
ref
nil
cons
5625
def
cons
5626
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
5625
ref
cons
510
ref
cons
nil
cons
cons
5627
def
76
ref
subst
5627
remove
107
ref
subst
913
ref
50
ref
66
ref
819
ref
1161
ref
appTerm
5628
def
918
ref
appTerm
appTerm
1140
ref
5367
remove
appTerm
appTerm
appTerm
5352
ref
appTerm
absTerm
5629
def
910
ref
appTerm
5630
def
betaConv
5353
ref
1161
remove
appTerm
5631
def
betaConv
nil
25
ref
5360
remove
cons
5632
def
43
ref
5631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5353
ref
nil
cons
cons
5633
def
812
ref
5554
remove
cons
nil
cons
5634
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
5629
ref
appTerm
nil
cons
cons
43
ref
5630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5629
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
66
ref
5628
remove
910
ref
appTerm
5635
def
appTerm
5624
ref
appTerm
appTerm
419
ref
3034
remove
appTerm
5636
def
appTerm
nil
cons
5637
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
5637
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
518
ref
51
ref
153
ref
nil
96
ref
5635
ref
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
909
ref
5635
remove
absTerm
5638
def
910
ref
appTerm
5639
def
betaConv
nil
811
ref
5638
ref
appTerm
5640
def
axiom
nil
25
ref
5640
remove
nil
cons
cons
43
ref
5639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5638
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
appThm
nil
96
ref
5625
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5624
remove
assume
eqMp
appThm
1044
ref
trans
appThm
518
ref
3102
remove
appThm
590
ref
trans
5641
def
appThm
1272
remove
trans
appThm
539
ref
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
5626
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
768
ref
878
ref
5576
ref
nil
cons
cons
5642
def
5634
remove
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
5592
ref
cons
110
ref
5579
ref
cons
nil
cons
5643
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
5621
ref
cons
5586
ref
cons
nil
cons
cons
5644
def
76
ref
subst
5644
remove
107
ref
subst
1177
ref
52
ref
66
ref
5250
remove
appTerm
790
ref
913
ref
811
ref
909
ref
1181
remove
5256
remove
appTerm
absTerm
appTerm
5645
def
absTerm
appTerm
appTerm
appTerm
790
ref
913
ref
66
ref
5251
ref
appTerm
5645
remove
appTerm
absTerm
appTerm
appTerm
absTerm
5646
def
5590
ref
appTerm
5647
def
betaConv
nil
1186
ref
5646
ref
appTerm
5648
def
axiom
nil
25
ref
5648
remove
nil
cons
cons
43
ref
5647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1188
ref
1189
ref
5646
remove
nil
cons
cons
1190
remove
5623
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
52
ref
66
ref
790
ref
3104
ref
5590
ref
3105
ref
appTerm
5649
def
absTerm
appTerm
appTerm
790
ref
913
ref
811
ref
3104
ref
50
ref
5649
ref
appTerm
3106
ref
918
ref
appTerm
5650
def
appTerm
absTerm
appTerm
5651
def
absTerm
appTerm
appTerm
appTerm
790
ref
913
ref
66
ref
5590
remove
918
ref
appTerm
5652
def
appTerm
5651
remove
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
5586
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
77
ref
153
ref
831
ref
913
ref
5652
remove
betaConv
5653
def
absThm
appThm
5622
remove
102
ref
subst
5591
ref
assume
eqMp
trans
appThm
831
ref
913
ref
832
ref
3104
ref
51
ref
5649
remove
betaConv
appThm
5650
ref
refl
appThm
absThm
appThm
5654
def
absThm
appThm
appThm
nil
96
ref
790
ref
913
ref
811
ref
3104
ref
50
ref
66
ref
5447
remove
910
ref
appTerm
5655
def
appTerm
793
ref
3105
ref
appTerm
785
ref
appTerm
5656
def
appTerm
5657
def
appTerm
5658
def
5650
remove
appTerm
absTerm
appTerm
5659
def
absTerm
5660
def
appTerm
5661
def
nil
cons
5662
def
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
831
ref
913
ref
153
ref
5653
remove
appThm
5654
remove
appThm
absThm
appThm
appThm
appThm
5581
remove
appThm
sym
5660
ref
910
ref
appTerm
betaConv
sym
nil
878
ref
3104
ref
5658
ref
3107
ref
appTerm
5663
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
3104
ref
nil
96
ref
5663
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5657
remove
nil
cons
5664
def
cons
43
ref
3107
remove
nil
cons
5665
def
cons
nil
cons
5666
def
cons
nil
cons
cons
5667
def
76
ref
subst
5667
remove
107
ref
subst
nil
108
ref
5655
remove
nil
cons
5668
def
cons
110
ref
5656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
nil
25
ref
5668
remove
cons
5666
remove
cons
nil
cons
cons
135
ref
subst
nil
913
ref
3105
remove
nil
cons
cons
nil
cons
nil
cons
cons
5246
remove
subst
eqMp
proveHyp
eqMp
nil
108
ref
5664
remove
cons
110
ref
5665
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
768
ref
878
ref
5660
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
5662
remove
cons
5669
def
43
ref
50
ref
790
ref
913
ref
66
ref
5582
remove
appTerm
5659
remove
appTerm
absTerm
5670
def
appTerm
5671
def
appTerm
5577
ref
appTerm
5672
def
nil
cons
cons
nil
cons
5673
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
878
ref
944
ref
50
ref
5670
ref
949
ref
appTerm
5674
def
appTerm
5577
ref
appTerm
5675
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
944
ref
nil
96
ref
5675
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5674
ref
nil
cons
5676
def
cons
5586
ref
cons
nil
cons
cons
5677
def
76
ref
subst
5677
remove
107
ref
subst
5674
ref
betaConv
5674
remove
assume
eqMp
nil
25
ref
66
ref
66
ref
1139
ref
949
ref
appTerm
910
ref
appTerm
5678
def
appTerm
793
ref
949
ref
appTerm
785
ref
appTerm
5679
def
appTerm
5680
def
appTerm
811
ref
3104
ref
5658
ref
3106
ref
949
ref
appTerm
appTerm
absTerm
appTerm
5681
def
appTerm
nil
cons
5682
def
cons
5586
ref
cons
nil
cons
cons
5683
def
135
ref
subst
proveHyp
5683
ref
76
ref
subst
5683
remove
107
ref
subst
nil
108
ref
5680
remove
nil
cons
5684
def
cons
110
ref
5681
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5685
def
122
ref
subst
5685
remove
139
ref
subst
nil
108
ref
5678
ref
nil
cons
5686
def
cons
110
ref
5679
ref
nil
cons
5687
def
cons
nil
cons
cons
nil
cons
cons
5688
def
122
ref
subst
5688
remove
139
ref
subst
153
ref
nil
96
ref
5686
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5678
remove
assume
5689
def
eqMp
appThm
nil
96
ref
5687
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5679
remove
assume
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
nil
25
ref
5684
remove
cons
43
ref
790
ref
"q"
760
ref
var
5690
def
866
ref
949
ref
appTerm
5180
ref
5690
ref
varTerm
5691
def
appTerm
5692
def
appTerm
5693
def
absTerm
5694
def
appTerm
5695
def
nil
cons
5696
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
913
ref
994
remove
cons
nil
cons
nil
cons
cons
5583
ref
918
ref
appTerm
5697
def
betaConv
nil
25
ref
5588
remove
cons
43
ref
5697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5583
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
5696
remove
cons
5586
ref
cons
nil
cons
cons
135
ref
subst
nil
878
ref
5690
ref
50
ref
5694
ref
5691
ref
appTerm
5698
def
appTerm
5577
ref
appTerm
5699
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
5690
remove
nil
96
ref
5699
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5698
ref
nil
cons
5700
def
cons
5586
ref
cons
nil
cons
cons
5701
def
76
ref
subst
5701
remove
107
ref
subst
5698
ref
betaConv
5698
remove
assume
eqMp
nil
25
ref
5693
ref
nil
cons
5702
def
cons
5586
remove
cons
nil
cons
cons
5703
def
135
ref
subst
proveHyp
5703
ref
76
ref
subst
5703
remove
107
ref
subst
5576
remove
1141
remove
5691
ref
appTerm
5704
def
appTerm
betaConv
sym
nil
909
ref
5180
ref
5704
ref
appTerm
nil
cons
5705
def
cons
5706
def
5239
remove
cons
nil
cons
cons
5605
remove
subst
153
ref
nil
913
ref
5705
remove
cons
nil
cons
nil
cons
cons
5614
ref
subst
518
ref
5615
ref
nil
909
ref
5691
remove
nil
cons
cons
nil
cons
nil
cons
cons
5439
remove
subst
5707
def
appThm
5373
ref
appThm
appThm
trans
appThm
nil
5238
remove
5706
remove
nil
cons
cons
nil
cons
cons
5614
remove
subst
518
ref
5616
remove
5707
remove
appThm
appThm
trans
appThm
trans
sym
nil
108
ref
1139
ref
5343
remove
5369
remove
5692
ref
appTerm
5370
remove
appTerm
5708
def
appTerm
5709
def
appTerm
910
ref
appTerm
5710
def
nil
cons
5711
def
cons
5712
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
5711
ref
cons
510
ref
cons
nil
cons
cons
5713
def
76
ref
subst
5713
remove
107
ref
subst
3104
ref
5658
ref
3106
ref
5692
ref
appTerm
appTerm
absTerm
5714
def
5709
ref
appTerm
5715
def
betaConv
52
ref
"_12625"
760
ref
var
5716
def
811
ref
3104
remove
5658
remove
3106
remove
5716
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5717
def
949
ref
appTerm
5718
def
appTerm
refl
5717
ref
5692
ref
appTerm
betaConv
appThm
77
ref
5718
remove
betaConv
appThm
811
ref
5714
ref
appTerm
5719
def
refl
appThm
trans
5717
remove
refl
5693
remove
assume
5720
def
appThm
eqMp
5681
remove
assume
eqMp
nil
25
ref
5719
remove
nil
cons
cons
43
ref
5715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5714
remove
nil
cons
cons
812
ref
5709
ref
nil
cons
5721
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
66
ref
5710
ref
appTerm
793
ref
5709
ref
appTerm
785
ref
appTerm
appTerm
appTerm
819
ref
5709
ref
appTerm
5692
ref
appTerm
5722
def
appTerm
nil
cons
5723
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
5723
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
518
ref
51
ref
153
ref
nil
96
ref
5711
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5710
ref
assume
eqMp
appThm
nil
909
ref
5708
ref
nil
cons
5724
def
cons
nil
cons
nil
cons
cons
5725
def
5556
remove
subst
appThm
1044
ref
trans
appThm
5722
ref
refl
appThm
nil
96
ref
5722
remove
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
trans
sym
nil
909
ref
5692
ref
nil
cons
5726
def
cons
5727
def
913
ref
5721
ref
cons
nil
cons
cons
nil
cons
cons
1243
remove
subst
sym
909
ref
66
ref
1139
ref
5692
ref
appTerm
5728
def
910
ref
appTerm
5729
def
appTerm
911
remove
5709
ref
appTerm
appTerm
absTerm
5730
def
5708
ref
appTerm
betaConv
sym
153
ref
5728
ref
refl
nil
913
ref
5726
remove
cons
nil
cons
5731
def
nil
cons
cons
5732
def
913
ref
866
ref
5455
remove
appTerm
3060
remove
appTerm
5733
def
absTerm
5734
def
918
ref
appTerm
5735
def
betaConv
832
ref
913
ref
5733
remove
assume
sym
5456
remove
assume
sym
deductAntisym
absThm
appThm
5460
remove
eqMp
nil
25
ref
811
ref
5734
ref
appTerm
nil
cons
cons
43
ref
5735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5734
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
5736
def
appThm
nil
5727
remove
nil
cons
nil
cons
cons
nil
96
ref
1235
ref
1142
remove
appTerm
5737
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
909
ref
5737
remove
absTerm
5738
def
910
ref
appTerm
5739
def
betaConv
nil
811
ref
5738
ref
appTerm
5740
def
axiom
nil
25
ref
5740
remove
nil
cons
cons
43
ref
5739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5738
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
trans
appThm
5725
remove
5462
remove
subst
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
768
ref
878
ref
5730
ref
nil
cons
cons
812
ref
5724
remove
cons
nil
cons
5741
def
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
790
ref
5730
remove
appTerm
nil
cons
cons
43
ref
5728
remove
5709
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
944
ref
5721
remove
cons
5731
remove
cons
nil
cons
cons
944
ref
50
ref
790
ref
909
ref
5464
remove
950
remove
appTerm
5742
def
absTerm
5743
def
appTerm
5744
def
appTerm
5745
def
5469
ref
appTerm
5746
def
absTerm
5747
def
949
ref
appTerm
5748
def
betaConv
913
ref
811
ref
5747
ref
appTerm
5749
def
absTerm
5750
def
918
ref
appTerm
5751
def
betaConv
nil
811
ref
913
ref
811
ref
909
ref
811
ref
944
ref
50
ref
5742
ref
appTerm
5469
ref
appTerm
absTerm
5752
def
appTerm
5753
def
absTerm
5754
def
appTerm
5755
def
absTerm
5756
def
appTerm
5757
def
axiom
nil
25
ref
5757
ref
nil
cons
5758
def
cons
5759
def
43
ref
811
ref
5750
ref
appTerm
nil
cons
5760
def
cons
nil
cons
cons
nil
cons
cons
5761
def
135
ref
subst
proveHyp
5761
ref
76
ref
subst
5761
remove
107
ref
subst
nil
878
ref
5750
remove
nil
cons
cons
5762
def
nil
cons
nil
cons
cons
879
ref
subst
913
ref
nil
96
ref
5749
remove
nil
cons
5763
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
878
ref
5747
remove
nil
cons
cons
5764
def
nil
cons
nil
cons
cons
879
ref
subst
944
remove
nil
96
ref
5746
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5744
remove
nil
cons
5765
def
cons
5766
def
5492
ref
cons
nil
cons
cons
5767
def
76
ref
subst
5767
remove
107
ref
subst
nil
5759
ref
5492
ref
cons
nil
cons
cons
5768
def
135
ref
subst
nil
5766
remove
43
ref
50
ref
5757
remove
appTerm
5469
remove
appTerm
5769
def
nil
cons
5770
def
cons
nil
cons
5771
def
cons
nil
cons
cons
135
ref
subst
nil
878
ref
909
ref
50
ref
5743
ref
910
ref
appTerm
5772
def
appTerm
5769
ref
appTerm
5773
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
5773
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5772
ref
nil
cons
5774
def
cons
5771
ref
cons
nil
cons
cons
5775
def
76
ref
subst
5775
remove
107
ref
subst
5772
ref
betaConv
5772
remove
assume
eqMp
nil
25
ref
5742
remove
nil
cons
5776
def
cons
5777
def
5771
remove
cons
nil
cons
cons
5778
def
135
ref
subst
proveHyp
5778
ref
76
ref
subst
5778
remove
107
ref
subst
5768
ref
76
ref
subst
5768
remove
107
ref
subst
nil
5777
remove
5492
remove
cons
nil
cons
cons
135
ref
subst
5752
ref
949
ref
appTerm
5779
def
betaConv
5754
ref
910
ref
appTerm
5780
def
betaConv
5756
ref
918
ref
appTerm
5781
def
betaConv
nil
5759
remove
43
ref
5781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5756
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5755
remove
nil
cons
cons
43
ref
5780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5754
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5753
remove
nil
cons
cons
43
ref
5779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5752
remove
nil
cons
cons
995
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5758
remove
cons
5782
def
5509
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
5776
remove
cons
110
ref
5770
remove
cons
nil
cons
5783
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5774
remove
cons
5783
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
5743
ref
813
ref
appTerm
appTerm
5769
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
5745
remove
5769
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5743
remove
nil
cons
cons
5783
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5765
remove
cons
5509
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
5782
remove
110
ref
5760
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
5760
remove
cons
43
ref
5751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
5762
remove
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5763
remove
cons
43
ref
5748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
5764
remove
995
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
5712
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
419
ref
5710
remove
appTerm
nil
cons
cons
43
ref
419
ref
1235
ref
5709
ref
appTerm
5784
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
108
ref
5784
ref
nil
cons
5785
def
cons
5786
def
nil
cons
nil
cons
cons
507
ref
subst
nil
25
ref
5785
ref
cons
510
ref
cons
nil
cons
cons
5787
def
76
ref
subst
5787
remove
107
ref
subst
913
ref
50
ref
66
ref
819
remove
5708
ref
appTerm
5788
def
918
ref
appTerm
appTerm
1140
ref
5709
remove
appTerm
appTerm
appTerm
5352
remove
appTerm
absTerm
5789
def
910
ref
appTerm
5790
def
betaConv
5353
remove
5708
remove
appTerm
5791
def
betaConv
nil
5632
remove
43
ref
5791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
5633
remove
5741
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
5789
ref
appTerm
nil
cons
cons
43
ref
5790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5789
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
66
ref
5788
remove
910
ref
appTerm
5792
def
appTerm
5793
def
5784
ref
appTerm
appTerm
5636
remove
appTerm
nil
cons
5794
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
5794
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
518
ref
51
ref
5793
remove
refl
nil
96
ref
5785
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5784
remove
assume
eqMp
appThm
nil
96
ref
5792
remove
nil
cons
cons
nil
cons
nil
cons
cons
5795
def
936
ref
subst
trans
appThm
5641
remove
appThm
5795
ref
517
ref
subst
trans
appThm
5795
remove
2448
ref
subst
trans
trans
sym
1003
remove
5736
remove
appThm
5373
ref
appThm
5732
remove
3069
ref
910
ref
appTerm
5796
def
betaConv
3071
ref
918
ref
appTerm
5797
def
betaConv
3073
remove
nil
25
ref
3072
remove
nil
cons
cons
43
ref
5797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3071
remove
nil
cons
cons
928
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3070
remove
nil
cons
cons
43
ref
5796
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
3069
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
nil
96
ref
5729
ref
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
52
ref
"_12621"
760
ref
var
5798
def
1139
ref
5798
remove
varTerm
appTerm
910
ref
appTerm
absTerm
5799
def
949
remove
appTerm
5800
def
appTerm
refl
5799
ref
5692
remove
appTerm
betaConv
appThm
77
ref
5800
remove
betaConv
appThm
5729
remove
refl
appThm
trans
5799
remove
refl
5720
remove
appThm
eqMp
5689
remove
eqMp
eqMp
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
eqMp
nil
5786
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
768
ref
5642
remove
812
ref
5704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
5702
remove
cons
5643
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5700
remove
cons
5643
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
5694
ref
813
ref
appTerm
appTerm
5577
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
5695
remove
appTerm
5577
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5694
remove
nil
cons
cons
5643
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
5682
remove
cons
5643
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5676
remove
cons
5643
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
5670
ref
813
ref
appTerm
appTerm
5577
ref
appTerm
absTerm
appTerm
nil
cons
cons
5673
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
5670
remove
nil
cons
cons
5643
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
nil
25
ref
66
ref
5661
ref
appTerm
5672
remove
appTerm
nil
cons
cons
43
ref
50
ref
52
ref
5661
remove
appTerm
5671
ref
appTerm
appTerm
5577
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5580
remove
43
ref
5671
remove
nil
cons
cons
5669
remove
nil
cons
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
50
ref
67
ref
314
ref
appTerm
appTerm
50
ref
56
remove
appTerm
312
ref
appTerm
appTerm
nil
cons
5801
def
cons
nil
cons
5802
def
cons
nil
cons
cons
5803
def
76
ref
subst
5803
remove
107
ref
subst
52
ref
"_12564"
3
ref
var
5804
def
50
ref
66
ref
5804
remove
varTerm
5805
def
appTerm
314
ref
appTerm
appTerm
50
ref
52
ref
5805
remove
appTerm
55
ref
appTerm
appTerm
312
ref
appTerm
appTerm
absTerm
5806
def
53
ref
appTerm
5807
def
appTerm
refl
5808
def
5806
ref
15
ref
appTerm
betaConv
appThm
77
ref
5807
remove
betaConv
appThm
5809
def
50
ref
1464
ref
314
ref
appTerm
appTerm
50
ref
2505
remove
appTerm
312
ref
appTerm
appTerm
refl
appThm
trans
5806
remove
refl
5810
def
2509
ref
appThm
eqMp
sym
51
ref
nil
96
ref
314
ref
nil
cons
cons
nil
cons
nil
cons
cons
5811
def
1468
ref
subst
appThm
51
ref
2514
remove
appThm
4938
ref
appThm
appThm
nil
96
ref
50
ref
2493
ref
appTerm
312
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
5801
ref
cons
nil
cons
5812
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
5802
remove
cons
nil
cons
cons
5813
def
76
ref
subst
5813
remove
107
ref
subst
5808
remove
"_12562"
3
ref
var
5814
def
50
ref
66
ref
5814
remove
varTerm
5815
def
appTerm
314
ref
appTerm
appTerm
50
ref
52
ref
5815
remove
appTerm
55
ref
appTerm
appTerm
312
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5809
remove
50
ref
155
ref
314
ref
appTerm
appTerm
50
ref
2530
remove
appTerm
312
ref
appTerm
appTerm
refl
appThm
trans
5810
remove
2533
ref
appThm
eqMp
sym
51
ref
5811
ref
186
ref
subst
appThm
51
ref
2534
remove
appThm
4938
remove
appThm
appThm
5811
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
5812
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
5801
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5621
ref
cons
5816
def
5643
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
5591
remove
appTerm
5817
def
betaConv
686
ref
nil
687
ref
43
ref
5817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
5621
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
5816
remove
110
ref
5592
remove
cons
612
ref
5579
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
5585
remove
cons
5643
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
811
ref
913
ref
5248
remove
5573
remove
appTerm
absTerm
appTerm
appTerm
5569
remove
appTerm
absTerm
appTerm
nil
cons
cons
5571
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
832
ref
812
ref
51
ref
832
ref
913
ref
5249
remove
5570
ref
918
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
5570
ref
813
ref
appTerm
betaConv
5818
def
appThm
absThm
appThm
appThm
832
ref
812
ref
5818
remove
absThm
appThm
appThm
nil
1177
ref
5570
remove
nil
cons
cons
nil
cons
nil
cons
cons
1177
ref
50
ref
811
ref
909
ref
50
ref
811
ref
913
ref
5179
ref
5251
remove
appTerm
absTerm
appTerm
appTerm
1180
remove
appTerm
absTerm
appTerm
appTerm
1183
remove
appTerm
absTerm
5819
def
1179
remove
appTerm
5820
def
betaConv
nil
1186
remove
5819
ref
appTerm
5821
def
axiom
nil
25
ref
5821
remove
nil
cons
cons
43
ref
5820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1188
remove
1189
remove
5819
remove
nil
cons
cons
1191
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5519
remove
cons
5822
def
110
ref
5523
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
5823
def
deductAntisym
eqMp
eqMp
nil
25
ref
5190
ref
5522
remove
appTerm
nil
cons
cons
5420
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5524
remove
5520
ref
nil
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
50
ref
67
ref
64
ref
appTerm
appTerm
68
ref
appTerm
nil
cons
5824
def
cons
nil
cons
5825
def
cons
nil
cons
cons
5826
def
76
ref
subst
5826
remove
107
ref
subst
52
ref
"_12568"
3
ref
var
5827
def
50
ref
66
ref
5827
remove
varTerm
5828
def
appTerm
5829
def
50
ref
5828
remove
appTerm
55
ref
appTerm
appTerm
appTerm
5829
remove
55
ref
appTerm
appTerm
absTerm
5830
def
53
ref
appTerm
5831
def
appTerm
refl
5832
def
5830
ref
15
ref
appTerm
betaConv
appThm
77
ref
5831
remove
betaConv
appThm
5833
def
50
ref
1464
ref
529
ref
55
ref
appTerm
5834
def
appTerm
appTerm
2575
remove
appTerm
refl
appThm
trans
5830
remove
refl
5835
def
2509
ref
appThm
eqMp
sym
51
ref
nil
96
ref
5834
ref
nil
cons
cons
nil
cons
nil
cons
cons
1468
ref
subst
appThm
2537
remove
appThm
1271
ref
600
ref
subst
5836
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
5824
ref
cons
nil
cons
5837
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
5825
remove
cons
nil
cons
cons
5838
def
76
ref
subst
5838
remove
107
ref
subst
5832
remove
"_12566"
3
ref
var
5839
def
50
ref
66
ref
5839
remove
varTerm
5840
def
appTerm
5841
def
50
ref
5840
remove
appTerm
55
ref
appTerm
appTerm
appTerm
5841
remove
55
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5833
remove
50
ref
155
ref
497
ref
55
ref
appTerm
5842
def
appTerm
appTerm
2586
remove
appTerm
refl
appThm
trans
5835
remove
2533
ref
appThm
eqMp
sym
51
ref
nil
96
ref
5842
ref
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
104
ref
501
ref
subst
5843
def
trans
appThm
2519
remove
appThm
104
ref
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
5837
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
5824
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
5418
remove
cons
110
ref
5419
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
5286
ref
5265
ref
50
ref
5406
remove
appTerm
66
ref
811
ref
913
ref
811
ref
909
ref
5179
ref
1139
ref
5266
ref
918
ref
appTerm
appTerm
5267
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1160
ref
5191
remove
5266
ref
appTerm
764
ref
appTerm
appTerm
785
ref
appTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
5408
remove
appTerm
5196
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
5287
ref
5265
ref
51
ref
5407
ref
5266
ref
appTerm
betaConv
5844
def
appThm
5195
ref
5266
remove
appTerm
betaConv
5845
def
appThm
absThm
appThm
appThm
51
ref
5264
ref
5265
ref
5844
remove
absThm
appThm
appThm
5264
remove
5265
remove
5845
remove
absThm
appThm
appThm
appThm
nil
5288
remove
5407
remove
nil
cons
cons
"q"
5175
remove
var
5195
ref
nil
cons
5846
def
cons
nil
cons
cons
nil
cons
cons
5290
remove
346
ref
50
ref
166
ref
35
ref
242
ref
348
remove
appTerm
absTerm
appTerm
appTerm
5082
remove
4371
remove
appTerm
appTerm
absTerm
5847
def
347
remove
appTerm
5848
def
betaConv
175
ref
354
ref
5847
ref
appTerm
5849
def
absTerm
5850
def
177
ref
appTerm
5851
def
betaConv
nil
354
ref
5850
ref
appTerm
5852
def
axiom
nil
25
ref
5852
remove
nil
cons
cons
43
ref
5851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
5850
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5849
remove
nil
cons
cons
43
ref
5848
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
5847
remove
nil
cons
cons
364
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
5853
def
subst
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
5358
remove
cons
110
ref
5201
remove
cons
nil
cons
5854
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
5199
ref
cons
5854
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
5855
def
nil
25
ref
50
ref
3027
ref
appTerm
5196
ref
appTerm
5856
def
nil
cons
5857
def
cons
43
ref
50
ref
5196
remove
appTerm
3027
ref
appTerm
nil
cons
cons
nil
cons
5858
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
5341
ref
5178
ref
50
ref
5195
ref
5180
ref
appTerm
5859
def
appTerm
3027
ref
appTerm
5860
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5357
ref
subst
5178
ref
nil
96
ref
5860
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
5859
ref
nil
cons
5861
def
cons
43
ref
5199
ref
cons
nil
cons
5862
def
cons
nil
cons
cons
5863
def
76
ref
subst
5863
remove
107
ref
subst
5859
ref
betaConv
5859
remove
assume
eqMp
nil
25
ref
5419
ref
cons
5862
remove
cons
nil
cons
cons
5864
def
135
ref
subst
proveHyp
5864
ref
76
ref
subst
5864
remove
107
ref
subst
5823
remove
5190
remove
refl
1160
remove
785
ref
appTerm
5192
ref
appTerm
5865
def
assume
5866
def
sym
5193
remove
assume
sym
deductAntisym
appThm
5194
remove
assume
eqMp
nil
5822
ref
110
ref
5865
ref
nil
cons
5867
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
1274
ref
refl
5866
remove
appThm
sym
153
ref
nil
96
ref
1275
ref
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
1273
remove
eqMp
appThm
832
ref
812
ref
832
ref
858
ref
51
ref
153
ref
1270
ref
appThm
153
ref
nil
812
ref
858
ref
varTerm
5868
def
nil
cons
5869
def
cons
nil
cons
nil
cons
cons
1270
remove
subst
appThm
866
ref
5540
ref
appTerm
5870
def
5180
ref
5868
ref
appTerm
5871
def
appTerm
5872
def
refl
appThm
nil
96
ref
5872
ref
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
5873
def
trans
appThm
5873
remove
trans
appThm
5548
ref
5868
ref
appTerm
5874
def
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
811
ref
812
ref
811
ref
858
ref
50
ref
5872
ref
appTerm
5874
ref
appTerm
absTerm
5875
def
appTerm
absTerm
appTerm
nil
cons
5876
def
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
25
ref
66
ref
811
ref
812
ref
50
ref
5870
ref
5540
ref
appTerm
5877
def
appTerm
5548
ref
813
ref
appTerm
5878
def
appTerm
absTerm
5879
def
appTerm
5880
def
appTerm
66
ref
811
ref
812
ref
811
ref
909
ref
52
ref
50
ref
5870
remove
5183
ref
appTerm
5881
def
appTerm
5548
ref
910
ref
appTerm
5882
def
appTerm
5883
def
appTerm
50
ref
866
ref
5183
remove
appTerm
5884
def
5540
remove
appTerm
5885
def
appTerm
5575
ref
813
ref
appTerm
5886
def
appTerm
5887
def
appTerm
absTerm
5888
def
appTerm
absTerm
5889
def
appTerm
5890
def
appTerm
811
ref
812
ref
811
ref
909
ref
50
ref
1139
ref
813
ref
appTerm
910
ref
appTerm
5891
def
appTerm
5892
def
5883
ref
appTerm
absTerm
5893
def
appTerm
absTerm
5894
def
appTerm
5895
def
appTerm
5896
def
appTerm
5897
def
nil
cons
cons
5898
def
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
5897
remove
appTerm
5899
def
nil
cons
5900
def
cons
5901
def
510
ref
cons
nil
cons
cons
5902
def
76
ref
subst
5902
remove
107
ref
subst
nil
811
ref
909
ref
419
ref
1235
ref
910
ref
appTerm
appTerm
absTerm
5903
def
appTerm
5904
def
axiom
nil
25
ref
5904
ref
nil
cons
5905
def
cons
5906
def
510
ref
cons
nil
cons
cons
5907
def
135
ref
subst
proveHyp
nil
5901
ref
43
ref
50
ref
5904
ref
appTerm
15
ref
appTerm
5908
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
25
ref
5867
ref
cons
5909
def
43
ref
50
ref
5899
ref
appTerm
5910
def
5908
remove
appTerm
5911
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
5520
ref
43
ref
50
ref
5865
remove
appTerm
5912
def
5911
remove
appTerm
5913
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
763
ref
5521
ref
5913
remove
appTerm
absTerm
5914
def
785
remove
appTerm
5915
def
betaConv
5178
ref
852
ref
5914
ref
appTerm
5916
def
absTerm
5917
def
5180
ref
appTerm
5918
def
betaConv
5287
remove
5178
ref
853
remove
763
ref
5521
ref
refl
5912
ref
refl
5910
ref
refl
nil
96
ref
5905
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
5919
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5341
ref
5178
ref
852
ref
763
ref
5521
remove
5912
remove
5910
remove
419
ref
5904
remove
appTerm
5920
def
appTerm
5921
def
appTerm
5922
def
appTerm
5923
def
absTerm
5924
def
appTerm
5925
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5357
remove
subst
5178
remove
nil
96
ref
5925
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
801
ref
5924
remove
nil
cons
cons
nil
cons
nil
cons
cons
805
ref
subst
763
ref
nil
96
ref
5923
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
5520
remove
43
ref
5922
remove
nil
cons
5926
def
cons
nil
cons
cons
nil
cons
cons
5927
def
76
ref
subst
5927
remove
107
ref
subst
nil
5909
remove
43
ref
5921
remove
nil
cons
5928
def
cons
nil
cons
cons
nil
cons
cons
5929
def
76
ref
subst
5929
remove
107
ref
subst
nil
5901
remove
43
ref
5920
remove
nil
cons
5930
def
cons
nil
cons
cons
nil
cons
cons
5931
def
76
ref
subst
5931
remove
107
ref
subst
5919
remove
5907
ref
76
ref
subst
5907
remove
107
ref
subst
nil
25
ref
5880
remove
nil
cons
cons
43
ref
5896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
nil
878
ref
5879
ref
nil
cons
cons
nil
cons
nil
cons
cons
769
ref
2484
ref
subst
5932
def
subst
831
ref
812
ref
518
ref
5879
remove
813
ref
appTerm
betaConv
appThm
nil
25
ref
5877
ref
nil
cons
cons
43
ref
5878
ref
nil
cons
5933
def
cons
nil
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
52
ref
419
ref
64
ref
appTerm
appTerm
2494
remove
appTerm
nil
cons
5934
def
cons
nil
cons
5935
def
cons
nil
cons
cons
5936
def
76
ref
subst
5936
remove
107
ref
subst
52
ref
"_546"
3
ref
var
5937
def
52
ref
419
ref
50
ref
5937
remove
varTerm
5938
def
appTerm
55
ref
appTerm
appTerm
appTerm
66
ref
5938
remove
appTerm
2493
ref
appTerm
appTerm
absTerm
5939
def
53
ref
appTerm
5940
def
appTerm
refl
5941
def
5939
ref
15
ref
appTerm
betaConv
appThm
77
ref
5940
remove
betaConv
appThm
5942
def
52
ref
419
ref
5834
ref
appTerm
appTerm
2506
remove
appTerm
refl
appThm
trans
5939
remove
refl
5943
def
2509
ref
appThm
eqMp
sym
77
ref
518
ref
104
remove
600
ref
subst
5944
def
appThm
590
ref
trans
appThm
2517
remove
appThm
2562
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
5934
ref
cons
nil
cons
5945
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
5935
remove
cons
nil
cons
cons
5946
def
76
ref
subst
5946
remove
107
ref
subst
5941
remove
"_544"
3
ref
var
5947
def
52
ref
419
ref
50
ref
5947
remove
varTerm
5948
def
appTerm
55
ref
appTerm
appTerm
appTerm
66
ref
5948
remove
appTerm
2493
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5942
remove
52
ref
419
ref
5842
ref
appTerm
appTerm
2531
remove
appTerm
refl
appThm
trans
5943
remove
2533
ref
appThm
eqMp
sym
77
ref
518
ref
5843
ref
appThm
appThm
2535
remove
appThm
2538
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
5945
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
5934
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
5949
def
subst
trans
absThm
appThm
trans
appThm
nil
25
ref
5890
remove
nil
cons
cons
43
ref
5895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
nil
878
ref
5889
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
ref
subst
831
ref
812
ref
518
ref
5889
remove
813
ref
appTerm
betaConv
appThm
nil
878
ref
5888
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
ref
subst
831
ref
909
ref
518
ref
5888
remove
910
ref
appTerm
betaConv
appThm
nil
25
ref
5883
remove
nil
cons
5950
def
cons
43
ref
5887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2543
ref
subst
1255
ref
153
ref
nil
25
ref
5881
ref
nil
cons
cons
43
ref
5882
ref
nil
cons
5951
def
cons
nil
cons
cons
nil
cons
cons
5952
def
nil
2492
ref
43
ref
65
remove
4317
remove
appTerm
nil
cons
5953
def
cons
nil
cons
5954
def
cons
nil
cons
cons
5955
def
76
ref
subst
5955
remove
107
ref
subst
52
ref
"_542"
3
ref
var
5956
def
52
ref
50
ref
5956
remove
varTerm
5957
def
appTerm
55
ref
appTerm
appTerm
456
ref
419
ref
5957
remove
appTerm
appTerm
55
ref
appTerm
appTerm
absTerm
5958
def
53
ref
appTerm
5959
def
appTerm
refl
5960
def
5958
ref
15
ref
appTerm
betaConv
appThm
77
ref
5959
remove
betaConv
appThm
5961
def
52
ref
5834
ref
appTerm
4327
remove
appTerm
refl
appThm
trans
5958
remove
refl
5962
def
2509
ref
appThm
eqMp
sym
77
ref
5944
ref
appThm
4329
remove
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
5953
ref
cons
nil
cons
5963
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
5954
remove
cons
nil
cons
cons
5964
def
76
ref
subst
5964
remove
107
ref
subst
5960
remove
"_540"
3
ref
var
5965
def
52
ref
50
ref
5965
remove
varTerm
5966
def
appTerm
55
ref
appTerm
appTerm
456
ref
419
ref
5966
remove
appTerm
appTerm
55
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
5961
remove
52
ref
5842
ref
appTerm
4334
remove
appTerm
refl
appThm
trans
5962
remove
2533
ref
appThm
eqMp
sym
77
ref
5843
ref
appThm
4335
remove
appThm
2521
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
5963
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
5953
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
5967
def
subst
appThm
nil
25
ref
5885
ref
nil
cons
cons
43
ref
5886
ref
nil
cons
5968
def
cons
nil
cons
cons
nil
cons
cons
5969
def
5949
ref
subst
appThm
appThm
153
ref
5952
remove
5949
ref
subst
5970
def
appThm
5969
remove
5967
ref
subst
appThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
878
ref
5894
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
ref
subst
831
ref
812
ref
518
ref
5894
remove
813
ref
appTerm
betaConv
appThm
nil
878
ref
5893
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
ref
subst
831
ref
909
ref
518
ref
5893
remove
910
ref
appTerm
betaConv
appThm
nil
25
ref
5891
ref
nil
cons
5971
def
cons
5972
def
43
ref
5950
remove
cons
nil
cons
cons
nil
cons
cons
5949
ref
subst
153
ref
5891
ref
refl
appThm
5973
def
5970
remove
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
456
ref
790
ref
812
ref
66
ref
5877
remove
appTerm
419
ref
5878
remove
appTerm
5974
def
appTerm
5975
def
absTerm
5976
def
appTerm
appTerm
refl
5977
def
1255
ref
831
ref
812
ref
77
ref
831
ref
909
ref
1255
ref
909
ref
66
ref
456
ref
419
ref
5881
ref
appTerm
appTerm
5882
ref
appTerm
appTerm
66
ref
5885
ref
appTerm
419
ref
5886
ref
appTerm
5978
def
appTerm
appTerm
5979
def
absTerm
5980
def
910
ref
appTerm
betaConv
5981
def
appThm
909
ref
66
ref
66
ref
5881
remove
appTerm
419
ref
5882
ref
appTerm
5982
def
appTerm
5983
def
appTerm
456
ref
419
ref
5885
remove
appTerm
appTerm
5886
ref
appTerm
appTerm
5984
def
absTerm
5985
def
910
ref
appTerm
betaConv
5986
def
appThm
absThm
appThm
5987
def
appThm
1255
ref
831
ref
909
ref
5981
remove
absThm
appThm
appThm
831
ref
909
ref
5986
remove
absThm
appThm
appThm
5988
def
appThm
nil
1177
ref
5980
ref
nil
cons
cons
5276
ref
5985
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5989
def
769
ref
4631
remove
subst
5990
def
subst
eqMp
absThm
appThm
77
ref
831
ref
812
ref
1255
ref
812
ref
790
ref
5980
remove
appTerm
absTerm
5991
def
813
ref
appTerm
betaConv
5992
def
appThm
812
ref
790
ref
5985
remove
appTerm
absTerm
5993
def
813
ref
appTerm
betaConv
5994
def
appThm
absThm
appThm
5995
def
appThm
1255
ref
831
ref
812
ref
5992
remove
absThm
appThm
appThm
831
ref
812
ref
5994
remove
absThm
appThm
appThm
5996
def
appThm
nil
1177
ref
5991
remove
nil
cons
cons
5276
ref
5993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5997
def
5990
remove
subst
eqMp
trans
appThm
790
ref
812
ref
790
ref
909
ref
66
ref
5891
remove
appTerm
5998
def
5983
remove
appTerm
5999
def
absTerm
6000
def
appTerm
absTerm
6001
def
appTerm
refl
6002
def
appThm
appThm
5977
remove
1255
ref
77
ref
5996
remove
appThm
5995
remove
appThm
5997
remove
769
ref
4651
remove
subst
6003
def
subst
eqMp
831
ref
812
ref
77
ref
5988
remove
appThm
5987
remove
appThm
5989
remove
6003
ref
subst
eqMp
absThm
appThm
trans
appThm
6002
remove
appThm
77
ref
1255
ref
831
ref
812
ref
812
ref
790
ref
909
ref
456
ref
5979
remove
appTerm
5984
remove
appTerm
6004
def
absTerm
6005
def
appTerm
absTerm
6006
def
813
ref
appTerm
betaConv
6007
def
absThm
appThm
appThm
831
ref
812
ref
6001
ref
813
ref
appTerm
betaConv
6008
def
absThm
appThm
appThm
appThm
831
ref
812
ref
1255
ref
6007
remove
appThm
6008
remove
appThm
absThm
appThm
appThm
nil
1177
ref
6006
remove
nil
cons
cons
5276
ref
6001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6003
ref
subst
eqMp
831
ref
812
ref
77
ref
1255
ref
831
ref
909
ref
6005
ref
910
ref
appTerm
betaConv
6009
def
absThm
appThm
appThm
831
ref
909
ref
6000
ref
910
ref
appTerm
betaConv
6010
def
absThm
appThm
appThm
appThm
831
ref
909
ref
1255
ref
6009
remove
appThm
6010
remove
appThm
absThm
appThm
appThm
nil
1177
ref
6005
remove
nil
cons
cons
5276
ref
6000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6003
ref
subst
eqMp
absThm
appThm
trans
trans
appThm
77
ref
1255
ref
831
ref
812
ref
5976
ref
813
ref
appTerm
betaConv
6011
def
absThm
appThm
appThm
831
ref
812
ref
812
ref
790
ref
909
ref
456
ref
6004
remove
appTerm
5999
remove
appTerm
6012
def
absTerm
6013
def
appTerm
absTerm
6014
def
813
ref
appTerm
betaConv
6015
def
absThm
appThm
appThm
appThm
831
ref
812
ref
1255
ref
6011
remove
appThm
6015
remove
appThm
absThm
appThm
appThm
nil
1177
ref
5976
remove
nil
cons
cons
5276
ref
6014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6003
remove
subst
eqMp
831
ref
812
ref
77
ref
456
ref
5975
ref
appTerm
6016
def
refl
6017
def
831
ref
909
ref
6013
ref
910
ref
appTerm
betaConv
6018
def
absThm
appThm
appThm
appThm
831
ref
909
ref
6017
remove
6018
remove
appThm
absThm
appThm
appThm
nil
5276
ref
6013
remove
nil
cons
cons
25
ref
5975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
769
ref
4379
ref
subst
subst
eqMp
absThm
appThm
trans
trans
trans
trans
5899
remove
assume
eqMp
nil
25
ref
790
ref
812
ref
790
ref
909
ref
6016
remove
6012
remove
appTerm
6019
def
absTerm
6020
def
appTerm
6021
def
absTerm
6022
def
appTerm
6023
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
812
ref
50
ref
6022
ref
813
ref
appTerm
6024
def
appTerm
15
ref
appTerm
6025
def
absTerm
6026
def
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
812
ref
nil
96
ref
6025
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6024
ref
nil
cons
6027
def
cons
510
ref
cons
nil
cons
cons
6028
def
76
ref
subst
6028
remove
107
ref
subst
6024
ref
betaConv
6024
remove
assume
eqMp
nil
25
ref
6021
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
909
ref
50
ref
6020
ref
910
ref
appTerm
6029
def
appTerm
15
ref
appTerm
6030
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
909
ref
nil
96
ref
6030
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6029
ref
nil
cons
6031
def
cons
510
ref
cons
nil
cons
cons
6032
def
76
ref
subst
6032
remove
107
ref
subst
6029
ref
betaConv
6029
remove
assume
eqMp
nil
25
ref
6019
ref
nil
cons
6033
def
cons
510
ref
cons
nil
cons
cons
6034
def
135
ref
subst
proveHyp
6034
ref
76
ref
subst
6034
remove
107
ref
subst
nil
25
ref
456
ref
456
ref
66
ref
456
ref
419
ref
866
ref
"Function.id"
const
6035
def
1
ref
895
ref
896
remove
cons
opType
constTerm
5180
remove
appTerm
6036
def
813
ref
appTerm
6037
def
appTerm
6038
def
6036
ref
910
ref
appTerm
6039
def
appTerm
6040
def
appTerm
6041
def
appTerm
5882
ref
appTerm
6042
def
appTerm
66
ref
866
ref
6039
ref
appTerm
6043
def
6037
ref
appTerm
6044
def
appTerm
6045
def
5978
ref
appTerm
6046
def
appTerm
6047
def
appTerm
66
ref
66
ref
6040
ref
appTerm
6048
def
5982
ref
appTerm
6049
def
appTerm
456
ref
419
ref
6044
ref
appTerm
6050
def
appTerm
5886
ref
appTerm
6051
def
appTerm
6052
def
appTerm
6053
def
appTerm
5998
remove
6049
ref
appTerm
6054
def
appTerm
nil
cons
6055
def
cons
510
ref
cons
nil
cons
cons
6056
def
76
ref
subst
6056
remove
107
ref
subst
nil
25
ref
6054
remove
nil
cons
6057
def
cons
510
ref
cons
nil
cons
cons
6058
def
76
ref
subst
6058
remove
107
ref
subst
nil
108
ref
5971
remove
cons
110
ref
6049
remove
nil
cons
6059
def
cons
nil
cons
cons
nil
cons
cons
6060
def
139
ref
subst
nil
108
ref
6040
remove
nil
cons
6061
def
cons
110
ref
5982
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6062
def
122
ref
subst
6063
def
proveHyp
nil
25
ref
6061
ref
cons
6064
def
43
ref
66
ref
6043
remove
6039
ref
appTerm
6065
def
appTerm
1139
ref
6037
ref
appTerm
6039
ref
appTerm
6066
def
appTerm
6067
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
812
ref
6039
ref
nil
cons
6068
def
cons
nil
cons
6069
def
nil
cons
cons
5263
ref
subst
6070
def
nil
25
ref
6065
ref
nil
cons
6071
def
cons
43
ref
6066
remove
nil
cons
cons
nil
cons
6072
def
cons
nil
cons
cons
107
ref
subst
proveHyp
6060
remove
122
ref
subst
nil
5972
remove
6072
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_12643"
760
ref
var
6073
def
929
remove
cons
"_12642"
760
ref
var
6074
def
859
remove
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
419
ref
1139
ref
6074
remove
varTerm
6075
def
appTerm
6076
def
6073
remove
varTerm
6077
def
appTerm
6078
def
appTerm
nil
cons
6079
def
cons
2906
ref
1139
ref
6036
ref
6075
ref
appTerm
appTerm
6080
def
6036
ref
6077
ref
appTerm
appTerm
6081
def
nil
cons
6082
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2906
ref
6078
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
6081
remove
refl
appThm
trans
nil
43
ref
6082
remove
cons
25
ref
6079
remove
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
909
ref
456
ref
419
ref
6076
remove
910
ref
appTerm
appTerm
appTerm
6080
remove
6039
ref
appTerm
appTerm
absTerm
6083
def
6077
ref
appTerm
6084
def
betaConv
913
ref
811
ref
909
ref
456
ref
5606
remove
appTerm
6085
def
1139
ref
6036
remove
918
ref
appTerm
appTerm
6039
ref
appTerm
appTerm
absTerm
appTerm
absTerm
6086
def
6075
ref
appTerm
6087
def
betaConv
832
ref
913
ref
832
ref
909
ref
1255
ref
518
ref
5615
ref
918
ref
refl
6088
def
appThm
5373
ref
appThm
appThm
appThm
5615
ref
nil
5542
ref
928
remove
cons
nil
cons
cons
5545
ref
35
ref
1669
ref
6035
ref
1
ref
1411
ref
1451
ref
cons
opType
6089
def
constTerm
6090
def
1418
ref
appTerm
6091
def
36
ref
appTerm
6092
def
appTerm
absTerm
6093
def
36
ref
appTerm
6094
def
betaConv
1417
ref
166
ref
6093
ref
appTerm
6095
def
absTerm
6096
def
1418
ref
appTerm
6097
def
betaConv
1431
ref
1417
ref
204
ref
35
ref
1669
ref
refl
6098
def
nil
1457
ref
nil
cons
cons
1788
ref
35
ref
458
ref
6035
ref
3500
ref
constTerm
36
ref
appTerm
appTerm
36
ref
appTerm
absTerm
6099
def
36
ref
appTerm
6100
def
betaConv
nil
166
ref
6099
ref
appTerm
6101
def
axiom
nil
25
ref
6101
remove
nil
cons
cons
43
ref
6100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6099
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
184
ref
appThm
appThm
1675
ref
trans
absThm
appThm
2365
ref
trans
absThm
appThm
1789
remove
trans
sym
94
ref
eqMp
nil
25
ref
1430
ref
6096
ref
appTerm
nil
cons
cons
43
ref
6097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
6096
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6095
remove
nil
cons
cons
43
ref
6094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6093
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
6102
def
subst
6103
def
subst
appThm
nil
5542
remove
930
remove
cons
nil
cons
cons
6103
ref
subst
6104
def
appThm
appThm
absThm
appThm
absThm
appThm
832
ref
913
ref
832
ref
909
ref
5450
remove
5967
ref
subst
absThm
appThm
absThm
appThm
5189
remove
assume
eqMp
eqMp
nil
25
ref
811
ref
6086
ref
appTerm
nil
cons
cons
43
ref
6087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6086
remove
nil
cons
cons
812
ref
6075
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
6083
ref
appTerm
nil
cons
cons
43
ref
6084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6083
remove
nil
cons
cons
812
ref
6077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
25
ref
6048
ref
6067
remove
appTerm
nil
cons
cons
43
ref
1139
ref
6039
ref
appTerm
6039
remove
appTerm
nil
cons
6105
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_12772"
760
ref
var
6106
def
6068
ref
cons
"_12770"
760
ref
var
6107
def
6068
ref
cons
"_12771"
760
ref
var
6108
def
6068
ref
cons
"_12769"
760
ref
var
6109
def
6037
ref
nil
cons
6110
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
866
ref
6109
remove
varTerm
6111
def
appTerm
6108
remove
varTerm
6112
def
appTerm
6113
def
appTerm
6114
def
appTerm
6115
def
456
ref
419
ref
866
ref
6107
remove
varTerm
6116
def
appTerm
6106
remove
varTerm
6117
def
appTerm
6118
def
appTerm
6119
def
appTerm
6120
def
419
ref
1139
ref
6111
remove
appTerm
6116
remove
appTerm
6121
def
appTerm
6122
def
appTerm
6123
def
appTerm
nil
cons
cons
2906
ref
1139
ref
6112
remove
appTerm
6117
remove
appTerm
6124
def
nil
cons
6125
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
6123
remove
nil
cons
cons
2906
ref
6114
remove
nil
cons
6126
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
6113
ref
nil
cons
6127
def
cons
nil
cons
6128
def
nil
cons
cons
2974
ref
subst
appThm
nil
2905
ref
6122
ref
nil
cons
6129
def
cons
2906
ref
6119
ref
nil
cons
6130
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
6118
ref
nil
cons
6131
def
cons
nil
cons
6132
def
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
6121
ref
nil
cons
cons
nil
cons
6133
def
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
trans
appThm
6124
ref
refl
appThm
trans
77
ref
6115
ref
refl
6134
def
nil
306
ref
6129
ref
cons
43
ref
6125
ref
cons
6135
def
25
ref
6130
ref
cons
nil
cons
6136
def
cons
cons
nil
cons
cons
4939
ref
subst
456
ref
6124
ref
appTerm
6137
def
refl
6138
def
nil
43
ref
6129
remove
cons
6139
def
6136
remove
cons
nil
cons
cons
4911
ref
subst
6140
def
appThm
trans
appThm
nil
306
ref
456
ref
6122
ref
appTerm
6141
def
6119
ref
appTerm
nil
cons
cons
6135
remove
25
ref
6126
remove
cons
nil
cons
6142
def
cons
cons
nil
cons
cons
4939
ref
subst
6138
ref
nil
306
ref
6130
remove
cons
6139
remove
6142
remove
cons
cons
nil
cons
cons
4939
ref
subst
6143
def
appThm
trans
trans
appThm
6138
remove
6134
remove
6140
remove
appThm
6143
remove
trans
appThm
appThm
nil
20
ref
6137
ref
6141
remove
6115
remove
6119
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
nil
2905
ref
6120
remove
6137
remove
6122
remove
appTerm
6144
def
appTerm
nil
cons
6145
def
cons
6128
remove
cons
nil
cons
cons
nil
4719
ref
43
ref
52
ref
3767
remove
appTerm
4998
ref
2907
ref
appTerm
appTerm
6146
def
nil
cons
6147
def
cons
nil
cons
6148
def
cons
nil
cons
cons
6149
def
76
ref
subst
6149
remove
107
ref
subst
52
ref
"_670"
3
ref
var
6150
def
52
ref
50
ref
6150
remove
varTerm
6151
def
appTerm
2907
ref
appTerm
appTerm
456
ref
419
ref
6151
remove
appTerm
appTerm
2907
ref
appTerm
appTerm
absTerm
6152
def
2914
ref
appTerm
6153
def
appTerm
refl
6154
def
6152
ref
15
ref
appTerm
betaConv
appThm
77
ref
6153
remove
betaConv
appThm
6155
def
52
ref
529
ref
2907
ref
appTerm
appTerm
2577
ref
2907
ref
appTerm
appTerm
refl
appThm
trans
6152
remove
refl
6156
def
4735
ref
appThm
eqMp
sym
77
ref
4736
ref
600
ref
subst
6157
def
appThm
2580
ref
2907
ref
refl
6158
def
appThm
4753
ref
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
6147
ref
cons
nil
cons
6159
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
6148
remove
cons
nil
cons
cons
6160
def
76
ref
subst
6160
remove
107
ref
subst
6154
remove
"_668"
3
ref
var
6161
def
52
ref
50
ref
6161
remove
varTerm
6162
def
appTerm
2907
ref
appTerm
appTerm
456
ref
419
ref
6162
remove
appTerm
appTerm
2907
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
6155
remove
52
ref
497
ref
2907
ref
appTerm
appTerm
2588
ref
2907
ref
appTerm
appTerm
refl
appThm
trans
6156
remove
4752
ref
appThm
eqMp
sym
77
ref
4736
ref
501
ref
subst
6163
def
appThm
2590
ref
6158
ref
appThm
4737
ref
trans
appThm
4742
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
6159
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
6147
ref
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
6164
def
subst
nil
25
ref
6127
ref
cons
43
ref
6145
ref
cons
nil
cons
cons
nil
cons
cons
6165
def
76
ref
subst
6165
remove
107
ref
subst
nil
2905
ref
6144
remove
nil
cons
6166
def
cons
6132
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
6131
ref
cons
43
ref
6166
ref
cons
nil
cons
6167
def
cons
nil
cons
cons
6168
def
76
ref
subst
6168
remove
107
ref
subst
5615
remove
6113
remove
assume
appThm
6118
remove
assume
appThm
nil
25
ref
52
ref
6121
remove
appTerm
6124
remove
appTerm
nil
cons
cons
6167
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
ref
6125
remove
cons
6133
remove
cons
nil
cons
cons
nil
4719
ref
43
ref
3765
remove
4809
ref
2915
ref
appTerm
appTerm
nil
cons
6169
def
cons
nil
cons
6170
def
cons
nil
cons
cons
6171
def
76
ref
subst
6171
remove
107
ref
subst
52
ref
"_638"
3
ref
var
6172
def
50
ref
52
ref
6172
remove
varTerm
6173
def
appTerm
2907
ref
appTerm
appTerm
4809
ref
419
ref
6173
remove
appTerm
appTerm
appTerm
absTerm
6174
def
2914
ref
appTerm
6175
def
appTerm
refl
6176
def
6174
ref
15
ref
appTerm
betaConv
appThm
77
ref
6175
remove
betaConv
appThm
6177
def
50
ref
533
ref
2907
ref
appTerm
6178
def
appTerm
4809
ref
537
ref
appTerm
appTerm
refl
appThm
trans
6174
remove
refl
6179
def
4735
ref
appThm
eqMp
sym
51
ref
4736
ref
2513
ref
subst
6180
def
appThm
4809
ref
refl
6181
def
539
ref
appThm
4847
ref
trans
appThm
4754
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
6169
ref
cons
nil
cons
6182
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
6170
remove
cons
nil
cons
cons
6183
def
76
ref
subst
6183
remove
107
ref
subst
6176
remove
"_636"
3
ref
var
6184
def
50
ref
52
ref
6184
remove
varTerm
6185
def
appTerm
2907
ref
appTerm
appTerm
4809
ref
419
ref
6185
remove
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
6177
remove
50
ref
1095
ref
2907
ref
appTerm
6186
def
appTerm
4809
ref
585
ref
appTerm
appTerm
refl
appThm
trans
6179
remove
4752
ref
appThm
eqMp
sym
51
ref
4736
ref
1099
ref
subst
6187
def
appThm
6181
remove
590
ref
appThm
4736
ref
1565
ref
subst
trans
appThm
4736
remove
573
ref
subst
6188
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
6182
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
6169
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
6189
def
subst
eqMp
eqMp
nil
108
ref
6131
remove
cons
110
ref
6166
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6127
remove
cons
110
ref
6145
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
6105
remove
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_12644"
760
ref
var
6190
def
6068
ref
cons
nil
cons
nil
cons
cons
nil
25
ref
1139
ref
6190
remove
varTerm
6191
def
appTerm
6191
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2642
ref
subst
5903
ref
6191
ref
appTerm
6192
def
betaConv
nil
5906
remove
43
ref
6192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
5903
remove
nil
cons
cons
812
ref
6191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
108
ref
6057
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6053
remove
nil
cons
6193
def
cons
510
ref
cons
nil
cons
cons
6194
def
76
ref
subst
6194
remove
107
ref
subst
nil
25
ref
6052
remove
nil
cons
6195
def
cons
510
ref
cons
nil
cons
cons
6196
def
76
ref
subst
6196
remove
107
ref
subst
nil
25
ref
5968
ref
cons
510
ref
cons
nil
cons
cons
6197
def
76
ref
subst
6197
remove
107
ref
subst
5263
ref
nil
25
ref
5933
remove
cons
6198
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
6199
def
nil
6198
remove
nil
cons
nil
cons
cons
2642
ref
subst
6200
def
52
ref
"_12707"
760
ref
var
6201
def
419
ref
5548
ref
6201
remove
varTerm
appTerm
appTerm
absTerm
6202
def
910
ref
appTerm
6203
def
appTerm
refl
6202
ref
813
ref
appTerm
betaConv
appThm
77
ref
6203
remove
betaConv
appThm
5974
ref
refl
6204
def
appThm
trans
6202
remove
refl
5886
ref
assume
appThm
eqMp
nil
108
ref
6059
remove
cons
110
ref
6051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6205
def
122
ref
subst
6206
def
6062
remove
139
ref
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5968
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6050
ref
nil
cons
6207
def
cons
510
ref
cons
nil
cons
cons
6208
def
76
ref
subst
6208
remove
107
ref
subst
6206
remove
6063
remove
proveHyp
nil
6064
ref
43
ref
6038
remove
6037
remove
appTerm
6209
def
nil
cons
6210
def
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
812
ref
6110
ref
cons
nil
cons
6211
def
nil
cons
cons
5263
ref
subst
eqMp
nil
25
ref
6048
remove
6209
ref
appTerm
nil
cons
cons
43
ref
6044
remove
nil
cons
6212
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"z"
760
ref
var
6213
def
6110
ref
cons
858
ref
6068
ref
cons
6211
remove
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
5874
ref
appTerm
6214
def
appTerm
6215
def
419
ref
5548
remove
6213
ref
varTerm
6216
def
appTerm
6217
def
appTerm
6218
def
appTerm
nil
cons
cons
2906
ref
866
ref
5868
ref
appTerm
6216
remove
appTerm
6219
def
nil
cons
6220
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
6218
remove
nil
cons
6221
def
cons
2906
ref
6214
remove
nil
cons
6222
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
5874
ref
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
6217
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
6219
remove
refl
appThm
trans
6215
remove
refl
nil
43
ref
6220
remove
cons
6223
def
25
ref
6221
ref
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
appThm
nil
306
ref
6221
remove
cons
6223
remove
25
ref
6222
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
trans
769
ref
nil
25
ref
419
ref
460
ref
appTerm
6224
def
nil
cons
6225
def
cons
6226
def
43
ref
456
ref
6224
ref
appTerm
6227
def
456
ref
419
ref
3539
remove
appTerm
appTerm
1518
remove
1493
ref
appTerm
6228
def
appTerm
6229
def
appTerm
nil
cons
6230
def
cons
nil
cons
6231
def
cons
nil
cons
cons
6232
def
76
ref
subst
6232
remove
107
ref
subst
1255
ref
518
ref
nil
6226
ref
43
ref
1517
remove
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
3377
ref
cons
6233
def
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
539
ref
trans
appThm
6229
ref
refl
appThm
nil
96
ref
6229
remove
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
sym
94
ref
eqMp
eqMp
nil
108
ref
6225
ref
cons
110
ref
6230
ref
cons
nil
cons
6234
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3377
ref
cons
6235
def
6231
remove
cons
nil
cons
cons
6236
def
76
ref
subst
6236
remove
107
ref
subst
1255
ref
518
ref
3585
ref
460
ref
assume
6237
def
appThm
6238
def
454
ref
refl
6239
def
appThm
nil
472
ref
nil
cons
cons
6240
def
1258
ref
subst
trans
appThm
590
ref
trans
appThm
1255
ref
518
ref
6238
remove
3603
remove
appThm
appThm
appThm
6228
ref
refl
appThm
appThm
nil
96
ref
456
ref
419
ref
6228
ref
appTerm
appTerm
6228
ref
appTerm
nil
cons
6241
def
cons
nil
cons
nil
cons
cons
567
remove
subst
trans
sym
nil
25
ref
52
ref
6228
ref
appTerm
6242
def
15
ref
appTerm
6243
def
nil
cons
6244
def
cons
43
ref
6241
ref
cons
nil
cons
6245
def
cons
nil
cons
cons
6246
def
76
ref
subst
6246
remove
107
ref
subst
52
ref
"_630"
3
ref
var
6247
def
456
ref
419
ref
6247
remove
varTerm
6248
def
appTerm
appTerm
6248
remove
appTerm
absTerm
6249
def
6228
ref
appTerm
6250
def
appTerm
refl
6251
def
6249
ref
15
ref
appTerm
betaConv
appThm
77
ref
6250
remove
betaConv
appThm
6252
def
2577
ref
15
ref
appTerm
refl
appThm
trans
6249
remove
refl
6253
def
6243
remove
assume
appThm
eqMp
sym
nil
96
ref
537
ref
nil
cons
cons
nil
cons
nil
cons
cons
6254
def
1565
remove
subst
539
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
6244
ref
cons
110
ref
6241
ref
cons
nil
cons
6255
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6242
remove
14
ref
appTerm
6256
def
nil
cons
6257
def
cons
6245
remove
cons
nil
cons
cons
6258
def
76
ref
subst
6258
remove
107
ref
subst
6251
remove
"_628"
3
ref
var
6259
def
456
ref
419
ref
6259
remove
varTerm
6260
def
appTerm
appTerm
6260
remove
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
6252
remove
2588
ref
14
ref
appTerm
refl
appThm
trans
6253
remove
6256
remove
assume
appThm
eqMp
sym
nil
96
ref
585
ref
nil
cons
cons
nil
cons
nil
cons
cons
6261
def
1700
remove
subst
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
6257
remove
cons
6262
def
6255
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
604
remove
6228
ref
appTerm
6263
def
betaConv
607
remove
nil
608
remove
43
ref
6263
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
609
remove
20
ref
6228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
6262
remove
110
ref
6244
remove
cons
612
ref
6241
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
6233
ref
6234
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
460
ref
appTerm
6264
def
betaConv
686
ref
nil
687
ref
43
ref
6264
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
3377
ref
cons
nil
cons
6265
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
6233
ref
110
ref
6225
ref
cons
612
ref
6230
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
6266
def
subst
eqMp
eqMp
6267
def
subst
eqMp
nil
25
ref
6212
ref
cons
6268
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6268
ref
nil
cons
nil
cons
cons
2642
ref
subst
6050
remove
assume
eqMp
eqMp
eqMp
nil
108
ref
6207
remove
cons
6269
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
6205
remove
139
ref
subst
nil
6269
remove
110
ref
5968
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6195
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6047
remove
nil
cons
6270
def
cons
510
ref
cons
nil
cons
cons
6271
def
76
ref
subst
6271
remove
107
ref
subst
nil
25
ref
5951
ref
cons
510
ref
cons
nil
cons
cons
6272
def
76
ref
subst
6272
remove
107
ref
subst
5373
ref
nil
25
ref
5575
ref
910
ref
appTerm
6273
def
nil
cons
cons
6274
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6274
remove
nil
cons
nil
cons
cons
2642
ref
subst
52
ref
"_12675"
760
ref
var
6275
def
419
ref
5575
ref
6275
remove
varTerm
appTerm
appTerm
absTerm
6276
def
813
ref
appTerm
6277
def
appTerm
refl
6276
ref
910
ref
appTerm
betaConv
appThm
77
ref
6277
remove
betaConv
appThm
419
ref
6273
remove
appTerm
refl
appThm
trans
6276
remove
refl
5882
ref
assume
appThm
eqMp
nil
108
ref
6042
remove
nil
cons
cons
110
ref
6046
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6278
def
139
ref
subst
6279
def
nil
108
ref
6212
remove
cons
110
ref
5978
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6280
def
139
ref
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
5951
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6041
ref
nil
cons
6281
def
cons
510
ref
cons
nil
cons
cons
6282
def
76
ref
subst
6282
remove
107
ref
subst
6279
remove
6280
remove
122
ref
subst
proveHyp
nil
6268
remove
43
ref
6071
remove
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
6070
remove
eqMp
nil
25
ref
6045
remove
6065
remove
appTerm
nil
cons
cons
43
ref
6061
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6213
remove
6068
remove
cons
858
ref
6110
remove
cons
6069
remove
cons
cons
nil
cons
cons
6267
remove
subst
eqMp
nil
6064
ref
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6064
remove
nil
cons
nil
cons
cons
2642
ref
subst
6041
remove
assume
eqMp
eqMp
eqMp
nil
108
ref
6281
remove
cons
6283
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
6278
remove
122
ref
subst
nil
6283
remove
110
ref
5951
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6270
remove
cons
6284
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
6284
remove
110
ref
6195
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
6193
remove
cons
6285
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
6285
remove
110
ref
6057
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
6055
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
66
ref
6209
remove
appTerm
5974
ref
appTerm
nil
cons
6286
def
cons
510
ref
cons
nil
cons
cons
6287
def
76
ref
subst
6287
remove
107
ref
subst
6199
remove
6200
remove
nil
108
ref
6210
remove
cons
110
ref
5974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6286
remove
cons
6288
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
1255
ref
153
ref
866
ref
refl
6289
def
nil
5543
remove
nil
cons
cons
6103
remove
subst
6290
def
appThm
6291
def
6290
ref
appThm
appThm
6204
remove
appThm
appThm
1255
ref
1255
ref
153
ref
1255
ref
518
ref
6291
remove
6104
ref
appThm
6292
def
appThm
appThm
5882
remove
refl
appThm
appThm
153
ref
6289
remove
6104
remove
appThm
6290
remove
appThm
6293
def
appThm
5978
remove
refl
appThm
appThm
appThm
153
ref
153
ref
6292
remove
appThm
5982
remove
refl
appThm
6294
def
appThm
1255
ref
518
ref
6293
remove
appThm
appThm
5886
remove
refl
appThm
appThm
appThm
appThm
5973
remove
6294
remove
appThm
appThm
appThm
6019
remove
assume
eqMp
nil
6288
remove
110
ref
6055
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6033
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6031
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
857
remove
50
ref
6020
ref
861
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6021
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6020
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6027
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
6026
remove
appTerm
nil
cons
cons
43
ref
50
ref
6023
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6022
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
5905
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5900
remove
cons
6295
def
110
ref
5930
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
5867
remove
cons
110
ref
5928
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
5822
remove
110
ref
5926
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
5286
ref
5917
ref
appTerm
nil
cons
cons
43
ref
5918
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
5289
ref
5341
ref
5917
remove
nil
cons
cons
"x"
895
remove
var
6296
def
5541
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
5916
remove
nil
cons
cons
43
ref
5915
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
804
remove
801
ref
5914
remove
nil
cons
cons
1119
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
6295
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
5898
remove
43
ref
5876
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
832
ref
812
ref
812
ref
5875
ref
absTerm
6297
def
813
ref
appTerm
betaConv
6298
def
5263
ref
appThm
5875
ref
813
ref
appTerm
betaConv
trans
absThm
appThm
appThm
153
ref
832
ref
812
ref
832
ref
909
ref
77
ref
6298
ref
5373
remove
appThm
5875
ref
910
ref
appTerm
betaConv
trans
6299
def
appThm
6297
ref
910
ref
appTerm
betaConv
5263
remove
appThm
858
ref
50
ref
5884
remove
5871
remove
appTerm
appTerm
5575
remove
5868
ref
appTerm
appTerm
absTerm
813
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
832
ref
812
ref
832
ref
909
ref
5892
remove
refl
6299
remove
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
832
ref
812
ref
832
ref
858
ref
6298
remove
5868
ref
refl
appThm
5875
remove
5868
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"p"
818
ref
var
6300
def
6297
remove
nil
cons
cons
nil
cons
nil
cons
cons
6300
ref
50
ref
66
ref
811
ref
913
ref
6300
ref
varTerm
6301
def
918
ref
appTerm
6302
def
918
ref
appTerm
6303
def
absTerm
6304
def
appTerm
6305
def
appTerm
6306
def
66
ref
811
ref
913
ref
811
ref
909
ref
52
ref
6302
ref
910
ref
appTerm
6307
def
appTerm
6301
ref
910
ref
appTerm
6308
def
918
ref
appTerm
6309
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
811
ref
913
ref
811
ref
909
ref
5179
remove
6307
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
6310
def
appTerm
811
ref
913
ref
811
ref
858
ref
6302
remove
5868
ref
appTerm
6311
def
absTerm
6312
def
appTerm
absTerm
6313
def
appTerm
6314
def
appTerm
absTerm
6315
def
6301
ref
appTerm
6316
def
betaConv
6317
def
nil
25
ref
158
ref
1
ref
1
ref
818
ref
4
ref
cons
opType
6318
def
4
ref
cons
opType
6319
def
constTerm
6320
def
6315
ref
appTerm
6321
def
nil
cons
cons
6322
def
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
6321
remove
appTerm
6323
def
nil
cons
6324
def
cons
510
ref
cons
nil
cons
cons
6325
def
76
ref
subst
6325
remove
107
ref
subst
nil
811
ref
913
ref
811
ref
909
ref
456
ref
1152
remove
appTerm
456
ref
1236
remove
appTerm
1246
remove
appTerm
appTerm
absTerm
appTerm
absTerm
6326
def
appTerm
6327
def
axiom
nil
25
ref
6327
remove
nil
cons
6328
def
cons
6329
def
510
ref
cons
nil
cons
cons
6330
def
135
ref
subst
proveHyp
6330
ref
76
ref
subst
6330
remove
107
ref
subst
nil
"P"
6318
remove
var
6331
def
6315
remove
nil
cons
cons
6332
def
nil
cons
nil
cons
cons
"A"
818
ref
nil
cons
cons
nil
cons
6333
def
23
ref
cons
6334
def
2484
ref
subst
subst
237
ref
6319
remove
constTerm
6335
def
refl
6336
def
6300
ref
518
ref
6317
remove
appThm
nil
25
ref
6310
remove
nil
cons
cons
43
ref
6314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5949
ref
subst
153
ref
153
ref
832
ref
913
ref
6303
ref
refl
absThm
appThm
appThm
6337
def
153
ref
832
ref
913
ref
832
ref
909
ref
nil
25
ref
6307
ref
nil
cons
6338
def
cons
43
ref
6309
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4336
ref
subst
absThm
appThm
absThm
appThm
appThm
832
ref
913
ref
832
ref
909
ref
nil
5445
remove
43
ref
6338
remove
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
absThm
appThm
absThm
appThm
appThm
appThm
appThm
nil
878
ref
6313
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
ref
subst
831
ref
913
ref
518
ref
6313
remove
918
ref
appTerm
betaConv
appThm
nil
878
ref
6312
ref
nil
cons
cons
nil
cons
nil
cons
cons
5932
remove
subst
831
ref
858
ref
518
ref
6312
remove
5868
ref
appTerm
betaConv
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
6336
ref
6300
ref
153
ref
6337
remove
153
ref
832
ref
913
ref
77
ref
832
ref
909
ref
153
ref
909
ref
456
ref
6307
ref
appTerm
419
ref
6309
ref
appTerm
appTerm
absTerm
6339
def
910
ref
appTerm
betaConv
6340
def
appThm
909
ref
456
ref
419
ref
6307
ref
appTerm
appTerm
6309
remove
appTerm
absTerm
6341
def
910
ref
appTerm
betaConv
6342
def
appThm
absThm
appThm
appThm
153
ref
832
ref
909
ref
6340
remove
absThm
appThm
appThm
832
ref
909
ref
6342
remove
absThm
appThm
appThm
appThm
nil
1177
ref
6339
ref
nil
cons
cons
5276
ref
6341
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5277
ref
subst
eqMp
absThm
appThm
77
ref
832
ref
913
ref
153
ref
913
ref
811
ref
6339
remove
appTerm
absTerm
6343
def
918
ref
appTerm
betaConv
6344
def
appThm
913
ref
811
ref
6341
remove
appTerm
absTerm
6345
def
918
ref
appTerm
betaConv
6346
def
appThm
absThm
appThm
appThm
153
ref
832
ref
913
ref
6344
remove
absThm
appThm
appThm
832
remove
913
ref
6346
remove
absThm
appThm
appThm
appThm
nil
1177
remove
6343
ref
nil
cons
cons
5276
ref
6345
ref
nil
cons
6347
def
cons
nil
cons
cons
nil
cons
cons
5277
remove
subst
eqMp
trans
appThm
811
ref
913
ref
811
ref
909
ref
6085
remove
6307
remove
appTerm
absTerm
appTerm
absTerm
6348
def
appTerm
6349
def
refl
appThm
appThm
appThm
790
ref
913
ref
790
ref
858
ref
419
ref
6311
ref
appTerm
6350
def
absTerm
6351
def
appTerm
absTerm
6352
def
appTerm
refl
appThm
absThm
appThm
6336
remove
6300
ref
77
ref
66
ref
6306
remove
66
ref
66
ref
811
ref
6343
remove
appTerm
6353
def
appTerm
811
ref
6345
ref
appTerm
6354
def
appTerm
6355
def
appTerm
6349
ref
appTerm
6356
def
appTerm
6357
def
appTerm
6358
def
refl
6359
def
831
ref
913
ref
6352
ref
918
ref
appTerm
betaConv
6360
def
absThm
appThm
appThm
appThm
831
ref
913
ref
6359
ref
6360
remove
appThm
absThm
appThm
appThm
nil
5276
ref
6352
remove
nil
cons
cons
25
ref
6357
remove
nil
cons
6361
def
cons
nil
cons
6362
def
cons
nil
cons
cons
769
remove
4429
ref
subst
6363
def
subst
eqMp
831
ref
913
ref
77
ref
6359
ref
831
ref
858
ref
6351
ref
5868
ref
appTerm
betaConv
6364
def
absThm
appThm
appThm
appThm
831
remove
858
ref
6359
remove
6364
remove
appThm
absThm
appThm
appThm
nil
5276
remove
6351
remove
nil
cons
cons
6362
remove
cons
nil
cons
cons
6363
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
6323
remove
assume
eqMp
nil
25
ref
6335
remove
6300
ref
790
ref
913
ref
790
remove
858
ref
6358
remove
6350
ref
appTerm
6365
def
absTerm
6366
def
appTerm
6367
def
absTerm
6368
def
appTerm
6369
def
absTerm
6370
def
appTerm
6371
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6331
ref
6300
ref
50
ref
6370
ref
6301
ref
appTerm
6372
def
appTerm
15
ref
appTerm
6373
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
6334
remove
252
ref
subst
subst
6300
remove
nil
96
ref
6373
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6372
ref
nil
cons
6374
def
cons
510
ref
cons
nil
cons
cons
6375
def
76
ref
subst
6375
remove
107
ref
subst
6372
ref
betaConv
6372
remove
assume
eqMp
nil
25
ref
6369
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
913
ref
50
ref
6368
ref
918
ref
appTerm
6376
def
appTerm
15
ref
appTerm
6377
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
ref
subst
913
remove
nil
96
ref
6377
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6376
ref
nil
cons
6378
def
cons
510
ref
cons
nil
cons
cons
6379
def
76
ref
subst
6379
remove
107
ref
subst
6376
ref
betaConv
6376
remove
assume
eqMp
nil
25
ref
6367
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
878
ref
858
ref
50
ref
6366
ref
5868
ref
appTerm
6380
def
appTerm
15
ref
appTerm
6381
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
879
remove
subst
858
ref
nil
96
ref
6381
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6380
ref
nil
cons
6382
def
cons
510
ref
cons
nil
cons
cons
6383
def
76
ref
subst
6383
remove
107
ref
subst
6380
ref
betaConv
6380
remove
assume
eqMp
nil
25
ref
6365
remove
nil
cons
6384
def
cons
510
ref
cons
nil
cons
cons
6385
def
135
ref
subst
proveHyp
6385
ref
76
ref
subst
6385
remove
107
ref
subst
nil
25
ref
6311
remove
nil
cons
6386
def
cons
6387
def
nil
cons
nil
cons
cons
6388
def
nil
2492
ref
43
ref
52
ref
50
ref
2443
remove
appTerm
53
ref
appTerm
appTerm
53
ref
appTerm
nil
cons
6389
def
cons
nil
cons
6390
def
cons
nil
cons
cons
6391
def
76
ref
subst
6391
remove
107
ref
subst
52
ref
"_626"
3
ref
var
6392
def
52
ref
50
ref
419
ref
6392
remove
varTerm
6393
def
appTerm
appTerm
6393
ref
appTerm
appTerm
6393
remove
appTerm
absTerm
6394
def
53
ref
appTerm
6395
def
appTerm
refl
6396
def
6394
ref
15
ref
appTerm
betaConv
appThm
77
ref
6395
remove
betaConv
appThm
6397
def
52
ref
558
ref
15
ref
appTerm
appTerm
15
ref
appTerm
refl
appThm
trans
6394
remove
refl
6398
def
2509
ref
appThm
eqMp
sym
6254
remove
517
ref
subst
1271
remove
2448
ref
subst
trans
eqMp
eqMp
nil
2522
ref
110
ref
6389
ref
cons
nil
cons
6399
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
6390
remove
cons
nil
cons
cons
6400
def
76
ref
subst
6400
remove
107
ref
subst
6396
remove
"_624"
3
ref
var
6401
def
52
ref
50
ref
419
ref
6401
remove
varTerm
6402
def
appTerm
appTerm
6402
ref
appTerm
appTerm
6402
remove
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
6397
remove
52
ref
586
ref
14
ref
appTerm
appTerm
14
ref
appTerm
refl
appThm
trans
6398
remove
2533
ref
appThm
eqMp
sym
6261
remove
2062
ref
subst
eqMp
eqMp
nil
2539
ref
6399
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
6389
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
25
ref
6350
ref
nil
cons
6403
def
cons
6404
def
43
ref
6386
ref
cons
nil
cons
6405
def
cons
nil
cons
cons
6406
def
76
ref
subst
6406
remove
107
ref
subst
nil
6404
ref
43
ref
419
ref
1140
remove
5868
ref
appTerm
appTerm
6407
def
nil
cons
6408
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
"_4099"
760
ref
var
6409
def
5869
ref
cons
"_4098"
760
ref
var
6410
def
927
ref
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
6301
ref
6410
ref
varTerm
6411
def
appTerm
6412
def
6409
ref
varTerm
6413
def
appTerm
6414
def
nil
cons
6415
def
cons
2906
ref
419
ref
1139
ref
6411
ref
appTerm
6416
def
6413
ref
appTerm
6417
def
appTerm
nil
cons
6418
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
909
ref
456
ref
419
ref
6416
remove
910
ref
appTerm
appTerm
appTerm
6412
remove
910
ref
appTerm
appTerm
absTerm
6419
def
6413
ref
appTerm
6420
def
betaConv
6348
ref
6411
ref
appTerm
6421
def
betaConv
nil
108
ref
6361
remove
cons
110
ref
6403
ref
cons
nil
cons
cons
nil
cons
cons
6422
def
122
ref
subst
6423
def
nil
108
ref
6305
remove
nil
cons
6424
def
cons
110
ref
6356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6425
def
139
ref
subst
proveHyp
6426
def
nil
108
ref
6355
remove
nil
cons
cons
110
ref
6349
remove
nil
cons
6427
def
cons
nil
cons
cons
nil
cons
cons
6428
def
139
ref
subst
proveHyp
nil
25
ref
6427
remove
cons
43
ref
6421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6348
remove
nil
cons
cons
812
ref
6411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
6419
ref
appTerm
nil
cons
cons
43
ref
6420
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6419
remove
nil
cons
cons
812
ref
6413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
6429
def
eqMp
subst
eqMp
nil
25
ref
6408
remove
cons
43
ref
419
ref
1245
ref
5868
ref
appTerm
appTerm
6430
def
nil
cons
cons
nil
cons
6431
def
cons
nil
cons
cons
107
ref
subst
proveHyp
6088
remove
nil
25
ref
1245
remove
918
ref
appTerm
6432
def
nil
cons
cons
43
ref
66
ref
6350
remove
appTerm
6303
ref
appTerm
6433
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
6404
remove
43
ref
6303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
nil
"_4097"
760
ref
var
6434
def
927
ref
cons
nil
cons
nil
cons
cons
6304
ref
6434
remove
varTerm
6435
def
appTerm
6436
def
betaConv
6423
remove
6425
remove
122
ref
subst
proveHyp
nil
25
ref
6424
remove
cons
43
ref
6436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6304
remove
nil
cons
cons
812
ref
6435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
25
ref
66
ref
6432
remove
appTerm
6433
remove
appTerm
nil
cons
cons
6431
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_4107"
760
ref
var
6437
def
5869
ref
cons
"_4105"
760
ref
var
6438
def
927
ref
cons
"_4106"
760
ref
var
6439
def
927
ref
cons
"_4104"
760
ref
var
6440
def
927
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
866
ref
6440
remove
varTerm
6441
def
appTerm
6439
remove
varTerm
6442
def
appTerm
6443
def
appTerm
6444
def
appTerm
6445
def
456
ref
6301
ref
6442
remove
appTerm
6437
remove
varTerm
6446
def
appTerm
6447
def
appTerm
6448
def
419
ref
6301
ref
6441
remove
appTerm
6438
remove
varTerm
6449
def
appTerm
6450
def
appTerm
6451
def
appTerm
6452
def
appTerm
nil
cons
cons
2906
ref
419
ref
866
ref
6449
remove
appTerm
6446
remove
appTerm
6453
def
appTerm
6454
def
nil
cons
6455
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
6452
ref
nil
cons
6456
def
cons
6457
def
2906
ref
6444
remove
nil
cons
6458
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
6443
ref
nil
cons
6459
def
cons
nil
cons
6460
def
nil
cons
cons
2974
ref
subst
appThm
nil
2905
ref
6451
ref
nil
cons
6461
def
cons
2906
ref
6447
ref
nil
cons
6462
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
66
ref
419
ref
6447
ref
appTerm
appTerm
refl
nil
2906
ref
6450
ref
nil
cons
cons
nil
cons
6463
def
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
trans
appThm
6454
ref
refl
appThm
trans
77
ref
6445
ref
refl
nil
306
ref
6461
ref
cons
43
ref
6462
ref
cons
6464
def
25
ref
6455
ref
cons
nil
cons
6465
def
cons
cons
nil
cons
cons
4939
ref
subst
6448
ref
refl
6466
def
nil
43
ref
6461
remove
cons
6467
def
6465
ref
cons
nil
cons
cons
4911
ref
subst
appThm
trans
appThm
nil
306
ref
456
ref
6451
remove
appTerm
6468
def
6454
ref
appTerm
nil
cons
cons
6464
remove
25
ref
6458
ref
cons
nil
cons
6469
def
cons
cons
nil
cons
cons
4939
ref
subst
6466
remove
nil
306
ref
6455
remove
cons
6467
remove
6469
remove
cons
cons
nil
cons
cons
4939
ref
subst
appThm
trans
trans
6470
def
appThm
nil
306
ref
6456
ref
cons
43
ref
6458
remove
cons
6465
remove
cons
cons
nil
cons
cons
4939
ref
subst
6470
remove
trans
appThm
nil
20
ref
6448
remove
6468
remove
6445
remove
6454
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
nil
2905
ref
456
ref
6454
remove
appTerm
6452
remove
appTerm
nil
cons
6471
def
cons
6460
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
6459
ref
cons
43
ref
6471
ref
cons
nil
cons
cons
nil
cons
cons
6472
def
76
ref
subst
6472
remove
107
ref
subst
nil
6457
remove
2906
ref
6453
ref
nil
cons
6473
def
cons
nil
cons
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
6473
ref
cons
43
ref
6456
ref
cons
nil
cons
6474
def
cons
nil
cons
cons
6475
def
76
ref
subst
6475
remove
107
ref
subst
6301
ref
refl
6443
remove
assume
appThm
6453
remove
assume
appThm
nil
25
ref
52
ref
6450
remove
appTerm
6447
remove
appTerm
nil
cons
cons
6474
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
ref
6462
remove
cons
6463
remove
cons
nil
cons
cons
6189
ref
subst
eqMp
eqMp
nil
108
ref
6473
remove
cons
110
ref
6456
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6459
remove
cons
110
ref
6471
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
25
ref
66
ref
6407
remove
appTerm
6430
remove
appTerm
nil
cons
cons
43
ref
1139
ref
5868
ref
appTerm
918
ref
appTerm
nil
cons
6476
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_4096"
760
ref
var
6477
def
5869
ref
cons
"_4095"
760
ref
var
6478
def
927
ref
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
1139
ref
6478
remove
varTerm
6479
def
appTerm
6480
def
6477
remove
varTerm
6481
def
appTerm
6482
def
appTerm
6483
def
866
remove
6479
ref
appTerm
6484
def
6481
ref
appTerm
6485
def
appTerm
nil
cons
cons
2906
ref
1139
remove
6481
ref
appTerm
6479
ref
appTerm
6486
def
nil
cons
6487
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
6485
ref
nil
cons
6488
def
cons
2906
ref
6482
remove
nil
cons
6489
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
appThm
6486
ref
refl
appThm
trans
52
ref
6483
remove
456
ref
6486
remove
appTerm
6485
remove
appTerm
appTerm
6490
def
appTerm
refl
nil
306
ref
6488
remove
cons
43
ref
6489
remove
cons
25
ref
6487
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
appThm
nil
20
ref
6490
remove
nil
cons
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
909
ref
456
ref
6480
remove
910
ref
appTerm
appTerm
456
ref
1235
remove
6479
ref
appTerm
appTerm
6484
remove
910
ref
appTerm
appTerm
appTerm
absTerm
6491
def
6481
ref
appTerm
6492
def
betaConv
6326
ref
6479
ref
appTerm
6493
def
betaConv
nil
6329
remove
43
ref
6493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
768
ref
878
ref
6326
remove
nil
cons
cons
812
ref
6479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
6491
ref
appTerm
nil
cons
cons
43
ref
6492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6491
remove
nil
cons
cons
812
ref
6481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
6476
remove
cons
43
ref
6301
ref
5868
ref
appTerm
918
remove
appTerm
nil
cons
6494
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6409
remove
927
ref
cons
6410
remove
5869
ref
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
6418
ref
cons
2906
ref
6415
ref
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2906
ref
6417
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
6414
remove
refl
appThm
trans
nil
43
ref
6415
remove
cons
25
ref
6418
remove
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
6429
remove
eqMp
eqMp
subst
eqMp
nil
25
ref
6494
remove
cons
6405
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_4103"
760
ref
var
6495
def
927
remove
cons
"_4102"
760
remove
var
6496
def
5869
remove
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
419
ref
6301
ref
6496
remove
varTerm
6497
def
appTerm
6498
def
6495
remove
varTerm
6499
def
appTerm
6500
def
appTerm
nil
cons
6501
def
cons
2906
ref
6301
ref
6499
ref
appTerm
6497
ref
appTerm
6502
def
nil
cons
6503
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2906
ref
6500
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
6502
remove
refl
appThm
trans
nil
43
ref
6503
remove
cons
25
ref
6501
remove
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
909
remove
456
ref
419
ref
6498
remove
910
remove
appTerm
appTerm
appTerm
6308
remove
6497
ref
appTerm
appTerm
absTerm
6504
def
6499
ref
appTerm
6505
def
betaConv
6345
remove
6497
ref
appTerm
6506
def
betaConv
6426
remove
6428
remove
122
ref
subst
proveHyp
nil
108
ref
6353
remove
nil
cons
cons
110
ref
6354
remove
nil
cons
6507
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
25
ref
6507
remove
cons
43
ref
6506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6347
remove
cons
812
ref
6497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
811
ref
6504
ref
appTerm
nil
cons
cons
43
ref
6505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6504
remove
nil
cons
cons
812
ref
6499
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
108
ref
6403
remove
cons
110
ref
6386
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
6387
remove
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
6388
remove
2642
ref
subst
6422
remove
139
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6384
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6382
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
6366
ref
813
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6367
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
ref
878
ref
6366
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6378
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
811
ref
812
ref
50
ref
6368
ref
813
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6369
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
768
remove
878
remove
6368
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6374
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
6320
remove
"x"
818
remove
var
6508
def
50
ref
6370
ref
6508
ref
varTerm
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6371
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
6333
ref
6331
remove
6370
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
6328
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6324
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
6322
remove
43
ref
6316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
6333
remove
6332
remove
6508
remove
6301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
25
ref
66
ref
1275
remove
appTerm
811
ref
812
remove
811
remove
858
remove
50
ref
66
ref
5539
remove
appTerm
66
ref
793
remove
5868
remove
appTerm
764
remove
appTerm
appTerm
5872
remove
appTerm
appTerm
appTerm
5874
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
1274
remove
5192
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5544
remove
nil
cons
cons
5545
remove
51
ref
2431
remove
204
ref
3394
ref
refl
appThm
appThm
appThm
3975
remove
appThm
sym
nil
25
ref
2436
remove
3395
ref
appTerm
nil
cons
6509
def
cons
43
ref
4639
ref
cons
nil
cons
6510
def
cons
nil
cons
cons
6511
def
76
ref
subst
6511
remove
107
ref
subst
nil
2644
remove
110
ref
3396
remove
cons
nil
cons
cons
nil
cons
cons
6512
def
122
ref
subst
6512
remove
139
ref
subst
3776
ref
nil
25
ref
50
ref
3395
ref
appTerm
3399
remove
appTerm
6513
def
nil
cons
6514
def
cons
6510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
204
ref
35
ref
204
ref
449
ref
3981
remove
3392
remove
454
ref
appTerm
6515
def
betaConv
6516
def
3394
remove
36
ref
appTerm
6517
def
betaConv
6518
def
nil
3397
remove
43
ref
6517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
3976
remove
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3978
remove
cons
43
ref
6515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
3979
remove
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
absThm
appThm
2365
ref
trans
absThm
appThm
2365
ref
trans
appThm
3398
ref
refl
nil
2601
remove
43
ref
52
ref
44
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
1057
ref
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
5108
remove
3753
ref
subst
trans
appThm
nil
96
ref
4639
ref
cons
nil
cons
nil
cons
cons
6519
def
501
ref
subst
trans
appThm
4607
ref
appThm
6519
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
6509
remove
cons
110
ref
4639
remove
cons
nil
cons
6520
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
6521
def
subst
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
5419
remove
cons
110
ref
5199
remove
cons
nil
cons
6522
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
5861
remove
cons
6522
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
5286
remove
6296
ref
50
ref
5195
remove
6296
remove
varTerm
appTerm
appTerm
3027
remove
appTerm
absTerm
appTerm
nil
cons
cons
5858
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
5289
remove
5341
remove
5846
remove
cons
6522
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
852
ref
5198
remove
appTerm
thm
nil
801
remove
763
ref
5856
remove
absTerm
6523
def
nil
cons
cons
nil
cons
nil
cons
cons
805
remove
subst
763
remove
nil
96
ref
5857
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5855
remove
eqMp
absThm
eqMp
nil
852
remove
6523
remove
appTerm
thm
4220
remove
nil
4240
remove
thm
1431
ref
1417
ref
205
ref
38
ref
1936
ref
1301
ref
51
ref
4219
ref
appThm
267
ref
392
ref
4004
ref
4005
ref
1886
remove
4006
ref
appTerm
appTerm
appTerm
absTerm
appTerm
6524
def
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
1454
ref
1417
ref
200
ref
38
ref
1858
ref
1301
ref
4152
remove
6524
ref
appTerm
6525
def
absTerm
6526
def
appTerm
6527
def
absTerm
6528
def
appTerm
6529
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
6529
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
6528
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6527
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
6526
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
6525
remove
nil
cons
6530
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
392
ref
4155
remove
6524
ref
appTerm
6531
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
392
ref
nil
96
ref
6531
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
4158
remove
43
ref
6524
ref
nil
cons
6532
def
cons
nil
cons
6533
def
cons
nil
cons
cons
6534
def
76
ref
subst
6534
remove
107
ref
subst
4162
remove
nil
4164
remove
6533
remove
cons
nil
cons
cons
6535
def
135
ref
subst
proveHyp
6535
ref
76
ref
subst
6535
remove
107
ref
subst
4170
remove
4171
remove
4176
remove
4177
remove
52
ref
"_11097"
1293
ref
var
6536
def
267
ref
392
ref
4004
ref
4005
remove
1885
remove
6536
remove
varTerm
appTerm
4006
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6537
def
1308
ref
appTerm
6538
def
appTerm
refl
6537
ref
4006
ref
appTerm
betaConv
appThm
77
ref
6538
remove
betaConv
appThm
267
ref
"s''"
28
ref
var
6539
def
66
ref
30
ref
6539
remove
varTerm
6540
def
appTerm
appTerm
66
ref
148
ref
6540
ref
appTerm
39
ref
appTerm
appTerm
4183
remove
1419
ref
6540
remove
appTerm
appTerm
appTerm
appTerm
absTerm
6541
def
appTerm
refl
appThm
trans
6537
remove
refl
4185
ref
appThm
eqMp
sym
6541
ref
393
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
4166
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
396
remove
assume
eqMp
appThm
6542
def
153
ref
nil
96
ref
4172
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
395
ref
assume
eqMp
6543
def
appThm
nil
1345
ref
4006
ref
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
2903
ref
subst
6544
def
subst
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
6541
remove
nil
cons
cons
630
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
4215
remove
110
ref
6532
remove
cons
nil
cons
6545
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
4217
remove
6545
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
4218
remove
6524
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
6530
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
4150
remove
6545
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1430
ref
1417
ref
200
ref
38
ref
1858
ref
1301
ref
4151
ref
6524
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
218
ref
38
ref
1858
ref
1301
ref
1951
remove
absTerm
6546
def
appTerm
6547
def
absTerm
6548
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6547
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
6546
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
2369
remove
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
6548
remove
appTerm
thm
nil
3358
ref
5025
ref
50
ref
3135
ref
5026
ref
appTerm
6549
def
appTerm
6550
def
188
ref
3779
ref
3137
ref
3138
ref
267
ref
141
ref
3140
ref
5060
ref
200
ref
400
ref
50
ref
3270
ref
401
ref
appTerm
6551
def
5026
ref
appTerm
6552
def
appTerm
6553
def
419
ref
"Set.properSubset"
const
147
ref
constTerm
6554
def
142
ref
appTerm
6555
def
401
ref
appTerm
6556
def
appTerm
6557
def
appTerm
absTerm
6558
def
appTerm
6559
def
appTerm
6560
def
appTerm
absTerm
appTerm
absTerm
appTerm
6561
def
appTerm
6562
def
appTerm
5027
ref
appTerm
6563
def
appTerm
6564
def
absTerm
6565
def
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
5025
ref
nil
96
ref
6564
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6549
ref
nil
cons
6566
def
cons
6567
def
43
ref
6563
remove
nil
cons
6568
def
cons
nil
cons
cons
nil
cons
cons
6569
def
76
ref
subst
6569
remove
107
ref
subst
nil
5053
remove
38
ref
6562
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5537
remove
subst
sym
3345
ref
refl
6570
def
3301
ref
3138
ref
2486
ref
141
ref
3302
ref
5060
ref
refl
6571
def
141
ref
6559
ref
absTerm
6572
def
142
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
absThm
appThm
appThm
5156
ref
appThm
nil
694
ref
6572
remove
nil
cons
cons
5057
ref
cons
nil
cons
cons
345
ref
175
ref
3943
remove
39
ref
appTerm
absTerm
6573
def
177
ref
appTerm
6574
def
betaConv
38
ref
354
ref
6573
ref
appTerm
6575
def
absTerm
6576
def
39
ref
appTerm
6577
def
betaConv
nil
200
ref
6576
ref
appTerm
6578
def
axiom
nil
25
ref
6578
remove
nil
cons
cons
43
ref
6577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6576
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6575
remove
nil
cons
cons
43
ref
6574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
6573
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
25
ref
3345
ref
6561
ref
appTerm
5026
ref
appTerm
nil
cons
cons
43
ref
148
ref
6562
ref
appTerm
5027
ref
appTerm
nil
cons
6579
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5030
ref
5055
ref
cons
5025
ref
6561
ref
nil
cons
6580
def
cons
nil
cons
cons
nil
cons
cons
5030
ref
50
ref
3345
ref
5026
ref
appTerm
5031
ref
appTerm
appTerm
148
ref
5027
ref
appTerm
6581
def
5035
ref
appTerm
appTerm
absTerm
6582
def
5031
ref
appTerm
6583
def
betaConv
5025
ref
3354
ref
6582
ref
appTerm
6584
def
absTerm
6585
def
5026
ref
appTerm
6586
def
betaConv
nil
3354
ref
6585
ref
appTerm
6587
def
axiom
nil
25
ref
6587
remove
nil
cons
cons
43
ref
6586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
6585
remove
nil
cons
cons
3359
ref
5055
ref
cons
nil
cons
6588
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6584
remove
nil
cons
cons
43
ref
6583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
6582
remove
nil
cons
cons
3359
ref
5031
ref
nil
cons
6589
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
6579
remove
cons
43
ref
6581
remove
6562
remove
appTerm
nil
cons
cons
nil
cons
6590
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
38
ref
50
ref
3270
ref
39
ref
appTerm
6591
def
5026
ref
appTerm
6592
def
appTerm
6593
def
267
ref
3829
ref
66
ref
3270
ref
3829
ref
varTerm
6594
def
appTerm
6595
def
6561
remove
appTerm
appTerm
6596
def
149
ref
6594
ref
appTerm
6597
def
appTerm
absTerm
appTerm
6598
def
appTerm
6599
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6599
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6592
ref
nil
cons
6600
def
cons
6601
def
43
ref
6598
remove
nil
cons
6602
def
cons
nil
cons
cons
nil
cons
cons
6603
def
76
ref
subst
6603
remove
107
ref
subst
77
ref
2486
ref
3829
ref
153
ref
6595
ref
refl
6604
def
3301
ref
3138
ref
2486
ref
141
ref
153
ref
3139
ref
refl
6605
def
141
ref
142
ref
absTerm
6606
def
142
ref
appTerm
6607
def
betaConv
6608
def
appThm
appThm
6609
def
141
ref
6560
ref
absTerm
6610
def
142
ref
appTerm
betaConv
6611
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3829
ref
6597
ref
absTerm
6612
def
6594
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2486
ref
141
ref
153
ref
6611
remove
appThm
6612
ref
6607
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
4558
remove
6606
ref
nil
cons
cons
6613
def
694
ref
6610
remove
nil
cons
cons
344
ref
6612
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
216
ref
3254
ref
cons
23
ref
cons
6614
def
"q"
286
ref
var
6615
def
52
ref
1363
ref
1902
ref
66
ref
1904
remove
1434
ref
1435
ref
238
ref
35
ref
66
ref
1437
ref
1442
ref
appTerm
appTerm
6616
def
241
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
6617
def
appTerm
6615
ref
varTerm
6618
def
1903
remove
appTerm
6619
def
appTerm
absTerm
appTerm
appTerm
238
ref
35
ref
4349
ref
6618
ref
1442
ref
appTerm
6620
def
appTerm
absTerm
appTerm
appTerm
absTerm
6621
def
6618
ref
appTerm
6622
def
betaConv
1417
ref
3288
ref
6621
ref
appTerm
6623
def
absTerm
6624
def
1418
ref
appTerm
6625
def
betaConv
175
ref
1430
ref
6624
ref
appTerm
6626
def
absTerm
6627
def
177
ref
appTerm
6628
def
betaConv
nil
354
ref
6627
ref
appTerm
6629
def
axiom
nil
25
ref
6629
remove
nil
cons
cons
43
ref
6628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
6627
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6626
remove
nil
cons
cons
43
ref
6625
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
6624
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6623
remove
nil
cons
cons
43
ref
6622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3290
ref
3291
ref
6621
remove
nil
cons
cons
3292
remove
6618
ref
nil
cons
cons
nil
cons
6630
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
6631
def
subst
eqMp
2486
ref
141
ref
66
ref
6560
remove
appTerm
6632
def
refl
187
ref
6608
ref
appThm
6633
def
appThm
absThm
appThm
trans
sym
nil
25
ref
267
ref
141
ref
6632
remove
150
ref
appTerm
6634
def
absTerm
6635
def
appTerm
6636
def
nil
cons
cons
nil
cons
nil
cons
cons
2451
remove
subst
sym
nil
108
ref
419
ref
6636
remove
appTerm
6637
def
nil
cons
6638
def
cons
6639
def
nil
cons
nil
cons
cons
507
remove
subst
nil
25
ref
6638
remove
cons
510
ref
cons
nil
cons
cons
6640
def
76
ref
subst
6640
remove
107
ref
subst
3264
ref
50
ref
3882
ref
66
ref
200
ref
219
ref
419
ref
141
ref
400
ref
5528
ref
6556
ref
appTerm
6641
def
absTerm
6642
def
absTerm
6643
def
734
ref
appTerm
6644
def
734
ref
appTerm
appTerm
absTerm
appTerm
appTerm
6645
def
66
ref
200
ref
219
ref
200
ref
3829
ref
200
ref
"z"
28
ref
var
6646
def
50
ref
66
ref
6644
ref
6594
ref
appTerm
6647
def
appTerm
6643
ref
6594
ref
appTerm
6648
def
6646
ref
varTerm
6649
def
appTerm
appTerm
appTerm
6644
ref
6649
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
6650
def
200
ref
219
ref
3905
ref
267
ref
3829
ref
66
ref
6595
ref
3348
ref
appTerm
appTerm
6651
def
6647
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
appTerm
3152
ref
3348
ref
appTerm
3780
ref
appTerm
6652
def
appTerm
absTerm
6653
def
3137
ref
3138
ref
267
ref
141
ref
3140
remove
5060
ref
150
ref
appTerm
6654
def
appTerm
absTerm
appTerm
absTerm
appTerm
6655
def
appTerm
6656
def
betaConv
4561
ref
3354
ref
3264
ref
50
ref
3882
remove
66
ref
200
ref
219
ref
419
ref
4561
remove
varTerm
6657
def
734
ref
appTerm
6658
def
734
ref
appTerm
appTerm
absTerm
appTerm
appTerm
66
ref
200
ref
219
ref
200
ref
3829
ref
200
ref
6646
ref
50
ref
66
ref
6658
ref
6594
ref
appTerm
6659
def
appTerm
6657
remove
6594
ref
appTerm
6649
ref
appTerm
appTerm
appTerm
6658
remove
6649
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
200
ref
219
ref
3905
ref
267
ref
3829
ref
6651
remove
6659
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
appTerm
6652
ref
appTerm
absTerm
appTerm
absTerm
6660
def
6643
ref
appTerm
6661
def
betaConv
345
ref
nil
"P"
1
ref
457
ref
4
ref
cons
opType
6662
def
var
"r"
457
ref
var
6663
def
200
ref
38
ref
50
ref
1045
ref
66
ref
166
ref
35
ref
419
ref
6663
ref
varTerm
6664
def
36
ref
appTerm
6665
def
36
ref
appTerm
6666
def
appTerm
6667
def
absTerm
6668
def
appTerm
6669
def
appTerm
6670
def
66
ref
166
ref
35
ref
166
ref
449
ref
166
ref
1492
ref
50
ref
66
ref
6665
ref
454
ref
appTerm
6671
def
appTerm
6664
ref
454
ref
appTerm
1493
ref
appTerm
appTerm
6672
def
appTerm
6665
ref
1493
ref
appTerm
6673
def
appTerm
6674
def
absTerm
6675
def
appTerm
6676
def
absTerm
6677
def
appTerm
6678
def
absTerm
6679
def
appTerm
6680
def
appTerm
6681
def
166
ref
35
ref
435
ref
238
ref
449
ref
3367
ref
6671
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
6682
def
appTerm
appTerm
6683
def
appTerm
appTerm
369
ref
appTerm
absTerm
appTerm
6684
def
absTerm
6685
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
457
remove
nil
cons
cons
nil
cons
23
ref
cons
252
ref
subst
subst
6663
remove
nil
96
ref
6684
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
205
ref
38
ref
nil
306
ref
377
ref
cons
43
ref
6683
ref
nil
cons
6686
def
cons
1736
remove
cons
cons
nil
cons
cons
338
ref
subst
absThm
appThm
sym
153
ref
51
ref
6670
ref
refl
6687
def
6681
ref
refl
6688
def
204
ref
35
ref
51
ref
838
ref
appThm
1463
ref
449
ref
153
ref
6240
ref
838
remove
subst
6689
def
appThm
6671
ref
refl
appThm
nil
96
ref
6671
ref
nil
cons
6690
def
cons
nil
cons
nil
cons
cons
6691
def
1468
ref
subst
trans
absThm
appThm
1469
ref
trans
appThm
5836
ref
trans
absThm
appThm
2365
ref
trans
appThm
nil
96
ref
6680
ref
nil
cons
6692
def
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
appThm
appThm
2401
remove
appThm
nil
96
ref
6670
ref
6680
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2062
ref
subst
trans
appThm
204
ref
35
ref
205
ref
38
ref
50
ref
66
ref
50
ref
6683
remove
appTerm
369
remove
appTerm
6693
def
appTerm
1028
remove
appTerm
6694
def
appTerm
6695
def
refl
51
ref
6687
remove
6688
remove
204
ref
443
ref
51
ref
2118
remove
appThm
1463
ref
449
ref
153
ref
nil
450
remove
472
ref
cons
nil
cons
cons
473
remove
subst
appThm
6664
ref
444
ref
appTerm
454
ref
appTerm
6696
def
refl
appThm
absThm
appThm
appThm
nil
306
ref
238
ref
449
ref
66
ref
456
ref
1519
ref
appTerm
3363
ref
appTerm
6697
def
appTerm
6698
def
6696
ref
appTerm
absTerm
appTerm
6699
def
nil
cons
cons
3331
remove
508
remove
nil
cons
cons
cons
nil
cons
cons
306
ref
52
ref
50
ref
2545
remove
appTerm
312
ref
appTerm
appTerm
66
ref
623
ref
appTerm
314
remove
appTerm
appTerm
absTerm
6700
def
312
ref
appTerm
6701
def
betaConv
43
ref
159
ref
6700
ref
appTerm
6702
def
absTerm
6703
def
55
ref
appTerm
6704
def
betaConv
25
ref
159
ref
6703
ref
appTerm
6705
def
absTerm
6706
def
53
ref
appTerm
6707
def
betaConv
nil
159
ref
6706
ref
appTerm
6708
def
axiom
nil
25
ref
6708
remove
nil
cons
cons
43
ref
6707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
6706
remove
nil
cons
cons
334
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6705
remove
nil
cons
cons
43
ref
6704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
6703
remove
nil
cons
cons
335
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6702
remove
nil
cons
cons
43
ref
6701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
6700
remove
nil
cons
cons
337
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
trans
absThm
appThm
77
ref
204
ref
443
ref
153
ref
443
ref
3312
ref
6699
ref
appTerm
absTerm
6709
def
444
ref
appTerm
betaConv
6710
def
appThm
443
ref
2111
remove
6699
ref
appTerm
absTerm
6711
def
444
ref
appTerm
betaConv
6712
def
appThm
absThm
appThm
appThm
153
ref
204
ref
443
ref
6710
remove
absThm
appThm
appThm
204
ref
443
ref
6712
remove
absThm
appThm
appThm
appThm
nil
175
ref
6709
remove
nil
cons
cons
346
ref
6711
ref
nil
cons
6713
def
cons
nil
cons
cons
nil
cons
cons
4356
remove
subst
eqMp
153
ref
77
ref
204
ref
443
ref
3312
remove
refl
443
ref
6699
remove
absTerm
6714
def
444
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
6714
ref
36
ref
appTerm
betaConv
appThm
nil
175
ref
6714
remove
nil
cons
cons
1915
ref
cons
nil
cons
cons
1835
ref
52
ref
166
ref
35
ref
50
ref
3228
remove
appTerm
241
ref
appTerm
absTerm
appTerm
appTerm
177
ref
1836
ref
appTerm
6715
def
appTerm
absTerm
6716
def
1836
ref
appTerm
6717
def
betaConv
175
ref
166
ref
6716
ref
appTerm
6718
def
absTerm
6719
def
177
ref
appTerm
6720
def
betaConv
nil
354
ref
6719
ref
appTerm
6721
def
axiom
nil
25
ref
6721
remove
nil
cons
cons
43
ref
6720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
6719
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6718
remove
nil
cons
cons
43
ref
6717
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6716
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
appThm
166
ref
6711
ref
appTerm
6722
def
refl
appThm
trans
trans
appThm
appThm
appThm
38
ref
419
ref
189
remove
193
ref
appTerm
6723
def
appTerm
6724
def
absTerm
6725
def
39
ref
appTerm
6726
def
betaConv
35
ref
200
ref
6725
ref
appTerm
6727
def
absTerm
6728
def
36
ref
appTerm
6729
def
betaConv
nil
166
ref
6728
ref
appTerm
6730
def
axiom
nil
25
ref
6730
remove
nil
cons
cons
43
ref
6729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6728
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6727
remove
nil
cons
cons
43
ref
6726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6725
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6724
remove
nil
cons
cons
43
ref
52
ref
6723
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
6723
ref
nil
cons
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
6731
def
appThm
nil
96
ref
6670
ref
6681
ref
66
ref
238
ref
449
ref
6698
ref
6671
ref
appTerm
6732
def
absTerm
6733
def
appTerm
6734
def
appTerm
6722
ref
appTerm
6735
def
appTerm
6736
def
appTerm
6737
def
nil
cons
6738
def
cons
nil
cons
nil
cons
cons
517
ref
subst
6739
def
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
166
ref
35
ref
200
ref
38
ref
6695
ref
419
ref
6737
remove
appTerm
6740
def
appTerm
6741
def
absTerm
6742
def
appTerm
6743
def
absTerm
6744
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
167
ref
6744
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
6743
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
6742
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6741
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6694
remove
nil
cons
6745
def
cons
43
ref
6740
remove
nil
cons
6746
def
cons
nil
cons
cons
nil
cons
cons
6747
def
76
ref
subst
6747
remove
107
ref
subst
nil
108
ref
6693
ref
nil
cons
cons
2084
remove
cons
nil
cons
cons
122
ref
subst
6739
remove
nil
25
ref
6738
ref
cons
510
ref
cons
nil
cons
cons
6748
def
76
ref
subst
6748
remove
107
ref
subst
nil
108
ref
6669
remove
nil
cons
6749
def
cons
110
ref
6736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6750
def
122
ref
subst
6750
remove
139
ref
subst
nil
108
ref
6692
ref
cons
6751
def
110
ref
6735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6752
def
122
ref
subst
6752
remove
139
ref
subst
nil
108
ref
6734
ref
nil
cons
6753
def
cons
110
ref
6722
remove
nil
cons
6754
def
cons
nil
cons
cons
nil
cons
cons
6755
def
122
ref
subst
6755
remove
139
ref
subst
nil
25
ref
6753
remove
cons
510
ref
cons
nil
cons
cons
135
ref
subst
nil
167
ref
449
ref
50
ref
6733
ref
454
ref
appTerm
6756
def
appTerm
15
ref
appTerm
6757
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
449
ref
nil
96
ref
6757
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6756
ref
nil
cons
6758
def
cons
510
ref
cons
nil
cons
cons
6759
def
76
ref
subst
6759
remove
107
ref
subst
6756
ref
betaConv
6756
remove
assume
eqMp
nil
25
ref
6732
remove
nil
cons
6760
def
cons
510
ref
cons
nil
cons
cons
6761
def
135
ref
subst
proveHyp
6761
ref
76
ref
subst
6761
remove
107
ref
subst
nil
108
ref
6697
remove
nil
cons
cons
110
ref
6690
ref
cons
nil
cons
cons
nil
cons
cons
6762
def
122
ref
subst
6762
remove
139
ref
subst
nil
3445
remove
510
ref
cons
nil
cons
cons
6763
def
76
ref
subst
6763
ref
107
ref
subst
153
ref
204
ref
35
ref
518
ref
6668
ref
36
ref
appTerm
6764
def
betaConv
nil
25
ref
6749
remove
cons
43
ref
6764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
6668
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
6765
def
nil
25
ref
6667
remove
nil
cons
cons
43
ref
52
ref
6666
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
6666
ref
nil
cons
6766
def
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
539
ref
trans
absThm
appThm
2365
ref
trans
appThm
153
ref
204
ref
35
ref
204
ref
449
ref
204
ref
1492
ref
nil
96
ref
6674
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
6675
ref
1493
ref
appTerm
6767
def
betaConv
6677
ref
454
ref
appTerm
6768
def
betaConv
6679
ref
36
ref
appTerm
6769
def
betaConv
nil
25
ref
6692
remove
cons
6770
def
43
ref
6769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
6679
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6678
remove
nil
cons
cons
43
ref
6768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6677
remove
nil
cons
cons
472
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6676
remove
nil
cons
cons
43
ref
6767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6675
remove
nil
cons
cons
1542
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
6771
def
eqMp
absThm
appThm
2365
ref
trans
absThm
appThm
2365
ref
trans
absThm
appThm
2365
ref
trans
appThm
6682
ref
refl
appThm
nil
96
ref
6682
remove
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
6772
def
trans
appThm
6772
remove
trans
sym
nil
167
ref
1492
ref
1814
ref
238
ref
449
ref
3367
ref
6664
ref
1493
ref
appTerm
6773
def
454
ref
appTerm
6774
def
appTerm
absTerm
6775
def
appTerm
6776
def
appTerm
6777
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
ref
nil
96
ref
6777
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1609
remove
43
ref
6776
ref
nil
cons
6778
def
cons
nil
cons
6779
def
cons
nil
cons
cons
6780
def
76
ref
subst
6780
remove
107
ref
subst
6711
remove
1493
remove
appTerm
6781
def
betaConv
nil
25
ref
6754
remove
cons
43
ref
6781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
6713
remove
cons
1542
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1814
remove
238
ref
449
ref
6698
remove
6774
ref
appTerm
absTerm
6782
def
appTerm
6783
def
appTerm
nil
cons
cons
6779
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
3615
remove
6783
ref
refl
appThm
nil
96
ref
6783
ref
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
6776
ref
refl
appThm
sym
nil
167
ref
"w"
26
ref
var
6784
def
50
ref
6782
ref
6784
ref
varTerm
6785
def
appTerm
6786
def
appTerm
6776
ref
appTerm
6787
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
6784
remove
nil
96
ref
6787
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6786
ref
nil
cons
6788
def
cons
6779
ref
cons
nil
cons
cons
6789
def
76
ref
subst
6789
remove
107
ref
subst
6786
ref
betaConv
6786
remove
assume
eqMp
nil
25
ref
66
ref
456
ref
458
ref
6785
ref
appTerm
36
ref
appTerm
6790
def
appTerm
422
ref
6785
ref
appTerm
39
ref
appTerm
6791
def
appTerm
6792
def
appTerm
6773
ref
6785
ref
appTerm
6793
def
appTerm
nil
cons
6794
def
cons
6779
ref
cons
nil
cons
cons
6795
def
135
ref
subst
proveHyp
6795
ref
76
ref
subst
6795
remove
107
ref
subst
nil
108
ref
6792
remove
nil
cons
cons
110
ref
6793
ref
nil
cons
6796
def
cons
nil
cons
cons
nil
cons
cons
6797
def
122
ref
subst
6797
remove
139
ref
subst
nil
25
ref
6791
ref
nil
cons
6798
def
cons
6779
ref
cons
nil
cons
cons
6799
def
76
ref
subst
6799
remove
107
ref
subst
6775
ref
6785
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
6798
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
6791
remove
assume
eqMp
appThm
nil
96
ref
6796
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
6793
remove
assume
6800
def
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
6775
ref
nil
cons
cons
6801
def
35
ref
6785
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
6798
ref
cons
110
ref
6778
ref
cons
nil
cons
6802
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
6790
ref
nil
cons
6803
def
cons
6779
remove
cons
nil
cons
cons
6804
def
76
ref
subst
6804
remove
107
ref
subst
6775
remove
454
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
3380
ref
cons
nil
cons
nil
cons
cons
6805
def
102
ref
subst
3363
remove
assume
eqMp
appThm
6774
ref
refl
appThm
nil
96
ref
6774
remove
nil
cons
6806
def
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
"y'"
26
ref
var
6807
def
66
ref
6773
ref
6807
remove
varTerm
6808
def
appTerm
appTerm
6664
remove
6808
remove
appTerm
454
ref
appTerm
appTerm
absTerm
6809
def
36
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
6773
ref
36
ref
appTerm
6810
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
52
ref
"_11352"
26
ref
var
6811
def
6773
remove
6811
remove
varTerm
appTerm
absTerm
6812
def
6785
remove
appTerm
6813
def
appTerm
refl
6812
ref
36
ref
appTerm
betaConv
appThm
77
ref
6813
remove
betaConv
appThm
6810
remove
refl
appThm
trans
6812
remove
refl
6790
remove
assume
appThm
eqMp
6800
remove
eqMp
eqMp
appThm
6691
remove
102
ref
subst
6671
ref
assume
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
6809
ref
nil
cons
cons
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
238
ref
6809
remove
appTerm
nil
cons
cons
43
ref
6806
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
1492
ref
471
ref
cons
1542
remove
cons
nil
cons
cons
nil
25
ref
238
ref
449
ref
6672
ref
absTerm
6814
def
appTerm
6815
def
nil
cons
6816
def
cons
6817
def
43
ref
6673
ref
nil
cons
6818
def
cons
nil
cons
6819
def
cons
nil
cons
cons
6820
def
76
ref
subst
6820
remove
107
ref
subst
nil
6770
remove
6819
ref
cons
nil
cons
cons
6821
def
135
ref
subst
nil
6817
remove
43
ref
50
ref
6680
remove
appTerm
6673
remove
appTerm
6822
def
nil
cons
6823
def
cons
nil
cons
6824
def
cons
nil
cons
cons
135
ref
subst
nil
167
ref
449
ref
50
ref
6814
ref
454
ref
appTerm
6825
def
appTerm
6822
ref
appTerm
6826
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
449
ref
nil
96
ref
6826
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6825
ref
nil
cons
6827
def
cons
6824
ref
cons
nil
cons
cons
6828
def
76
ref
subst
6828
remove
107
ref
subst
6825
ref
betaConv
6825
remove
assume
eqMp
nil
25
ref
6672
remove
nil
cons
6829
def
cons
6830
def
6824
remove
cons
nil
cons
cons
6831
def
135
ref
subst
proveHyp
6831
ref
76
ref
subst
6831
remove
107
ref
subst
6821
ref
76
ref
subst
6821
remove
107
ref
subst
nil
6830
remove
6819
remove
cons
nil
cons
cons
135
ref
subst
6771
remove
eqMp
eqMp
nil
6751
remove
110
ref
6818
remove
cons
nil
cons
6832
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
6829
remove
cons
110
ref
6823
remove
cons
nil
cons
6833
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6827
remove
cons
6833
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
ref
50
ref
6814
ref
444
ref
appTerm
appTerm
6822
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6815
remove
appTerm
6822
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6814
remove
nil
cons
cons
6833
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6816
remove
cons
6832
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
213
ref
6801
remove
472
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
nil
108
ref
6803
remove
cons
6834
def
6802
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
6834
remove
110
ref
6798
remove
cons
612
ref
6778
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6794
remove
cons
6802
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6788
remove
cons
6802
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
ref
50
ref
6782
ref
444
ref
appTerm
appTerm
6776
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6783
remove
appTerm
6776
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6782
remove
nil
cons
cons
6802
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1655
remove
6802
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
6686
remove
cons
43
ref
377
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
6693
ref
assume
eqMp
6763
remove
135
ref
subst
6805
remove
517
ref
subst
518
ref
3362
ref
refl
381
ref
appThm
6689
remove
trans
appThm
539
ref
trans
trans
sym
94
ref
eqMp
eqMp
proveHyp
eqMp
nil
3381
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1519
ref
nil
cons
6835
def
cons
6836
def
510
ref
cons
nil
cons
cons
6837
def
76
ref
subst
6837
remove
107
ref
subst
nil
25
ref
6690
remove
cons
510
ref
cons
nil
cons
cons
135
ref
subst
52
ref
"_11312"
26
ref
var
6838
def
50
ref
6665
remove
6838
remove
varTerm
appTerm
appTerm
15
ref
appTerm
absTerm
6839
def
454
ref
appTerm
6840
def
appTerm
refl
6839
ref
36
ref
appTerm
betaConv
appThm
77
ref
6840
remove
betaConv
appThm
50
ref
6666
remove
appTerm
15
ref
appTerm
refl
appThm
trans
6839
remove
refl
1519
ref
assume
appThm
eqMp
sym
nil
96
ref
6766
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
sym
6765
remove
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6835
ref
cons
6841
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
6841
remove
110
ref
3380
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6760
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6758
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
ref
50
ref
6733
ref
444
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
6734
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
6733
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6738
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
6745
remove
cons
110
ref
6746
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
66
ref
50
ref
6670
ref
6681
ref
166
ref
35
ref
2047
remove
238
ref
449
ref
66
ref
3362
ref
193
ref
appTerm
appTerm
6671
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
2686
remove
appTerm
appTerm
166
ref
35
ref
200
ref
38
ref
6695
remove
50
ref
6670
remove
6681
remove
166
ref
443
ref
2065
remove
238
ref
449
ref
66
ref
3362
ref
40
ref
appTerm
appTerm
6696
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
6723
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
200
ref
38
ref
673
remove
6693
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
38
ref
6693
remove
absTerm
6842
def
193
ref
appTerm
betaConv
appThm
204
ref
35
ref
205
ref
38
ref
51
ref
153
ref
6842
ref
39
ref
appTerm
betaConv
6843
def
appThm
2128
remove
appThm
appThm
6842
ref
40
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
205
ref
38
ref
1110
remove
6843
remove
appThm
absThm
appThm
appThm
nil
694
ref
6842
remove
nil
cons
cons
nil
cons
nil
cons
cons
1116
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
6844
def
subst
nil
25
ref
158
ref
1
ref
1
ref
147
ref
4
ref
cons
opType
6845
def
4
ref
cons
opType
constTerm
6660
ref
appTerm
nil
cons
cons
43
ref
6661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
"A"
147
ref
nil
cons
6846
def
cons
nil
cons
"P"
6845
remove
var
6660
remove
nil
cons
cons
"x"
147
ref
var
6643
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
3354
ref
6653
ref
appTerm
nil
cons
cons
43
ref
6656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
6653
remove
nil
cons
cons
3359
ref
6655
ref
nil
cons
6847
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
66
ref
3135
ref
6655
ref
appTerm
6848
def
appTerm
6849
def
6645
remove
6650
remove
200
ref
219
ref
50
ref
3271
ref
6655
ref
appTerm
6850
def
appTerm
267
ref
3829
ref
66
ref
6595
ref
6655
ref
appTerm
appTerm
6647
remove
appTerm
absTerm
appTerm
6851
def
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
6852
def
appTerm
3152
ref
6655
remove
appTerm
3780
ref
appTerm
6853
def
appTerm
nil
cons
6854
def
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
96
ref
6854
remove
cons
nil
cons
nil
cons
cons
517
ref
subst
nil
2766
ref
6853
ref
nil
cons
cons
2767
ref
6852
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3057
ref
subst
trans
153
ref
6849
ref
refl
153
ref
205
ref
219
ref
518
ref
6644
remove
betaConv
6855
def
734
ref
refl
6856
def
appThm
400
ref
66
ref
149
ref
734
ref
appTerm
6857
def
appTerm
6858
def
6554
ref
734
ref
appTerm
6859
def
401
ref
appTerm
appTerm
absTerm
6860
def
734
ref
appTerm
betaConv
trans
appThm
absThm
appThm
appThm
153
ref
205
ref
219
ref
205
ref
3829
ref
205
ref
6646
ref
51
ref
153
ref
6855
ref
6594
ref
refl
appThm
6860
ref
6594
ref
appTerm
betaConv
trans
appThm
6648
remove
betaConv
6649
ref
refl
6861
def
appThm
400
ref
66
ref
6597
ref
appTerm
6862
def
6554
ref
6594
ref
appTerm
6863
def
401
ref
appTerm
appTerm
absTerm
6649
ref
appTerm
betaConv
trans
appThm
appThm
6855
remove
6861
remove
appThm
6860
remove
6649
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
77
ref
205
ref
219
ref
51
ref
3906
ref
3301
ref
3138
ref
2486
ref
141
ref
6609
remove
141
ref
6654
ref
absTerm
6864
def
142
ref
appTerm
betaConv
6865
def
appThm
absThm
appThm
absThm
appThm
6866
def
appThm
appThm
219
ref
6851
remove
absTerm
6867
def
734
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
205
ref
141
ref
51
ref
6865
ref
appThm
6867
ref
6607
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
6613
ref
694
ref
6864
ref
nil
cons
6868
def
cons
6869
def
344
ref
6867
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
6614
remove
6615
remove
52
ref
291
ref
1902
remove
50
ref
6617
remove
appTerm
6619
remove
appTerm
absTerm
appTerm
appTerm
166
ref
35
ref
242
remove
6620
remove
appTerm
absTerm
appTerm
appTerm
absTerm
6870
def
6618
remove
appTerm
6871
def
betaConv
1417
ref
3288
ref
6870
ref
appTerm
6872
def
absTerm
6873
def
1418
ref
appTerm
6874
def
betaConv
175
ref
1430
ref
6873
ref
appTerm
6875
def
absTerm
6876
def
177
ref
appTerm
6877
def
betaConv
nil
354
ref
6876
ref
appTerm
6878
def
axiom
nil
25
ref
6878
remove
nil
cons
cons
43
ref
6877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
6876
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6875
remove
nil
cons
cons
43
ref
6874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
6873
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6872
remove
nil
cons
cons
43
ref
6871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3290
ref
3291
ref
6870
remove
nil
cons
cons
6630
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
6879
def
subst
subst
eqMp
205
ref
141
ref
50
ref
6654
ref
appTerm
6880
def
refl
77
ref
2486
ref
3829
ref
153
ref
6604
remove
6866
remove
appThm
appThm
3829
ref
6643
remove
6607
remove
appTerm
6881
def
6594
ref
appTerm
absTerm
6882
def
6594
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2486
ref
1723
ref
153
ref
6864
ref
1724
ref
appTerm
betaConv
appThm
6882
ref
6606
remove
1724
ref
appTerm
6883
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
6613
remove
6869
ref
344
ref
6882
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
6631
remove
subst
eqMp
2486
ref
1723
ref
66
ref
66
ref
3270
ref
1724
ref
appTerm
6884
def
5026
ref
appTerm
appTerm
149
ref
1724
ref
appTerm
appTerm
appTerm
6885
def
refl
6886
def
6881
remove
betaConv
400
ref
153
ref
6633
remove
appThm
6554
ref
refl
6608
remove
appThm
401
ref
refl
6887
def
appThm
appThm
absThm
trans
6883
remove
betaConv
appThm
6642
remove
1724
ref
appTerm
betaConv
trans
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
appThm
appThm
appThm
appThm
419
ref
6853
remove
appTerm
6888
def
refl
appThm
trans
sym
nil
6567
ref
43
ref
6848
remove
nil
cons
6889
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
6550
ref
refl
6890
def
3149
ref
3301
ref
3138
ref
2486
ref
141
ref
3302
ref
6571
ref
141
ref
150
ref
absTerm
6891
def
142
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
694
ref
6891
remove
nil
cons
cons
5057
ref
cons
nil
cons
cons
345
ref
3953
remove
subst
subst
eqMp
eqMp
nil
25
ref
6889
remove
cons
43
ref
66
ref
200
ref
219
ref
419
ref
6858
ref
6859
ref
734
ref
appTerm
appTerm
appTerm
absTerm
appTerm
6892
def
appTerm
66
ref
200
ref
219
ref
200
ref
3829
ref
200
ref
6646
ref
50
ref
66
ref
6858
ref
6859
ref
6594
ref
appTerm
6893
def
appTerm
6894
def
appTerm
6862
remove
6863
remove
6649
ref
appTerm
6895
def
appTerm
6896
def
appTerm
6897
def
appTerm
6858
ref
6859
ref
6649
ref
appTerm
6898
def
appTerm
6899
def
appTerm
6900
def
absTerm
6901
def
appTerm
6902
def
absTerm
6903
def
appTerm
6904
def
absTerm
6905
def
appTerm
6906
def
appTerm
200
ref
141
ref
6880
remove
267
ref
1723
ref
6885
ref
5528
remove
6555
ref
1724
ref
appTerm
6907
def
appTerm
appTerm
absTerm
appTerm
6908
def
appTerm
6909
def
absTerm
6910
def
appTerm
6911
def
appTerm
6912
def
appTerm
6913
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
205
ref
219
ref
518
ref
6858
remove
refl
nil
3814
ref
nil
cons
cons
38
ref
419
ref
6554
remove
39
ref
appTerm
6914
def
39
ref
appTerm
6915
def
appTerm
6916
def
absTerm
6917
def
39
ref
appTerm
6918
def
betaConv
nil
200
ref
6917
ref
appTerm
6919
def
axiom
nil
25
ref
6919
remove
nil
cons
cons
43
ref
6918
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6917
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6916
remove
nil
cons
cons
43
ref
52
ref
6915
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
108
ref
6915
remove
nil
cons
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
subst
appThm
nil
96
ref
6857
ref
nil
cons
6920
def
cons
nil
cons
nil
cons
cons
1473
ref
subst
trans
appThm
539
ref
trans
absThm
appThm
1746
ref
trans
sym
94
ref
eqMp
nil
25
ref
6892
remove
nil
cons
cons
43
ref
6912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
6905
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
219
ref
nil
96
ref
6904
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
6903
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
3829
ref
nil
96
ref
6902
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
6901
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
6646
ref
nil
96
ref
6900
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6897
remove
nil
cons
6921
def
cons
43
ref
6899
remove
nil
cons
6922
def
cons
nil
cons
cons
nil
cons
cons
6923
def
76
ref
subst
6923
remove
107
ref
subst
nil
108
ref
6894
remove
nil
cons
cons
110
ref
6896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6924
def
122
ref
subst
6924
remove
139
ref
subst
nil
108
ref
6920
ref
cons
110
ref
6893
ref
nil
cons
6925
def
cons
nil
cons
cons
nil
cons
cons
6926
def
122
ref
subst
6926
remove
139
ref
subst
nil
108
ref
6597
remove
nil
cons
cons
110
ref
6895
ref
nil
cons
6927
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
nil
25
ref
6920
remove
cons
43
ref
6898
remove
nil
cons
cons
nil
cons
6928
def
cons
nil
cons
cons
107
ref
subst
141
ref
66
ref
6859
remove
142
ref
appTerm
appTerm
6555
remove
6649
ref
appTerm
appTerm
absTerm
6929
def
6594
ref
appTerm
betaConv
sym
153
ref
nil
96
ref
6925
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
6893
remove
assume
eqMp
appThm
nil
96
ref
6927
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
6895
remove
assume
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
6929
ref
nil
cons
cons
219
ref
6594
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
6929
remove
appTerm
nil
cons
cons
6928
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
400
ref
6649
ref
nil
cons
cons
3814
remove
cons
nil
cons
cons
400
ref
50
ref
267
ref
141
ref
66
ref
6914
ref
142
ref
appTerm
6930
def
appTerm
6556
ref
appTerm
6931
def
absTerm
6932
def
appTerm
6933
def
appTerm
6934
def
6914
remove
401
ref
appTerm
6935
def
appTerm
6936
def
absTerm
6937
def
401
ref
appTerm
6938
def
betaConv
38
ref
200
ref
6937
ref
appTerm
6939
def
absTerm
6940
def
39
ref
appTerm
6941
def
betaConv
nil
200
ref
38
ref
200
ref
141
ref
200
ref
400
ref
50
ref
6931
ref
appTerm
6935
ref
appTerm
absTerm
6942
def
appTerm
6943
def
absTerm
6944
def
appTerm
6945
def
absTerm
6946
def
appTerm
6947
def
axiom
nil
25
ref
6947
ref
nil
cons
6948
def
cons
6949
def
43
ref
200
ref
6940
ref
appTerm
nil
cons
6950
def
cons
nil
cons
cons
nil
cons
cons
6951
def
135
ref
subst
proveHyp
6951
ref
76
ref
subst
6951
remove
107
ref
subst
nil
218
ref
6940
remove
nil
cons
cons
6952
def
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6939
remove
nil
cons
6953
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
6937
remove
nil
cons
cons
6954
def
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
6936
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6933
remove
nil
cons
6955
def
cons
6956
def
43
ref
6935
ref
nil
cons
6957
def
cons
nil
cons
6958
def
cons
nil
cons
cons
6959
def
76
ref
subst
6959
remove
107
ref
subst
nil
6949
ref
6958
ref
cons
nil
cons
cons
6960
def
135
ref
subst
nil
6956
remove
43
ref
50
ref
6947
remove
appTerm
6935
ref
appTerm
6961
def
nil
cons
6962
def
cons
nil
cons
6963
def
cons
nil
cons
cons
135
ref
subst
nil
218
ref
141
ref
50
ref
6932
ref
142
ref
appTerm
6964
def
appTerm
6961
ref
appTerm
6965
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
6965
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6964
ref
nil
cons
6966
def
cons
6963
ref
cons
nil
cons
cons
6967
def
76
ref
subst
6967
remove
107
ref
subst
6964
ref
betaConv
6964
remove
assume
eqMp
nil
25
ref
6931
remove
nil
cons
6968
def
cons
6969
def
6963
remove
cons
nil
cons
cons
6970
def
135
ref
subst
proveHyp
6970
ref
76
ref
subst
6970
remove
107
ref
subst
6960
ref
76
ref
subst
6960
remove
107
ref
subst
nil
6969
remove
6958
ref
cons
nil
cons
cons
135
ref
subst
6942
ref
401
ref
appTerm
6971
def
betaConv
6944
ref
142
ref
appTerm
6972
def
betaConv
6946
ref
39
ref
appTerm
6973
def
betaConv
nil
6949
remove
43
ref
6973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
6946
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6945
remove
nil
cons
cons
43
ref
6972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6944
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6943
remove
nil
cons
cons
43
ref
6971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6942
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6948
remove
cons
6974
def
110
ref
6957
ref
cons
nil
cons
6975
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
6968
remove
cons
110
ref
6962
remove
cons
nil
cons
6976
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
6966
remove
cons
6976
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
6932
ref
734
ref
appTerm
appTerm
6961
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
6934
remove
6961
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6932
remove
nil
cons
cons
6976
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6955
remove
cons
6975
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6974
remove
110
ref
6950
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
6950
remove
cons
43
ref
6941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
6952
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6953
remove
cons
43
ref
6938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
6954
remove
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
6921
remove
cons
110
ref
6922
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
25
ref
6906
remove
nil
cons
cons
43
ref
6911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
6910
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
6909
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
6654
remove
nil
cons
6977
def
cons
43
ref
6908
remove
nil
cons
6978
def
cons
nil
cons
cons
nil
cons
cons
6979
def
76
ref
subst
6979
remove
107
ref
subst
nil
108
ref
5143
ref
cons
6980
def
2868
remove
cons
nil
cons
cons
6981
def
122
ref
subst
6981
remove
139
ref
subst
2486
ref
1723
ref
6886
remove
153
ref
2872
ref
appThm
6982
def
6907
ref
refl
appThm
nil
96
ref
6907
ref
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
absThm
appThm
sym
141
ref
419
ref
6634
remove
appTerm
6983
def
absTerm
6984
def
142
ref
appTerm
6985
def
betaConv
77
ref
518
ref
2486
ref
141
ref
6635
ref
142
ref
appTerm
betaConv
6986
def
absThm
appThm
appThm
appThm
205
ref
141
ref
518
ref
6986
remove
appThm
absThm
appThm
appThm
nil
694
ref
6635
remove
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
3046
ref
subst
subst
eqMp
6637
remove
assume
eqMp
6987
def
nil
25
ref
200
ref
6984
ref
appTerm
nil
cons
cons
6988
def
43
ref
6985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
6984
ref
nil
cons
cons
6989
def
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
6983
remove
nil
cons
cons
43
ref
267
ref
1723
ref
6885
remove
6907
remove
appTerm
absTerm
6990
def
appTerm
6991
def
nil
cons
6992
def
cons
nil
cons
6993
def
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
518
ref
153
ref
153
ref
nil
96
ref
5143
ref
cons
nil
cons
nil
cons
cons
6994
def
102
ref
subst
5059
ref
assume
6995
def
eqMp
appThm
6559
ref
refl
appThm
nil
96
ref
6559
remove
nil
cons
cons
nil
cons
nil
cons
cons
6996
def
186
ref
subst
trans
appThm
2872
remove
appThm
6996
remove
936
ref
subst
trans
appThm
77
ref
518
ref
205
ref
400
ref
6558
ref
401
ref
appTerm
betaConv
6997
def
absThm
appThm
appThm
appThm
2486
ref
400
ref
518
ref
6997
remove
appThm
absThm
appThm
appThm
nil
694
ref
6558
remove
nil
cons
cons
nil
cons
nil
cons
cons
345
ref
2483
ref
subst
6998
def
subst
eqMp
2486
ref
400
ref
nil
2766
ref
6557
remove
nil
cons
cons
2767
ref
6552
ref
nil
cons
6999
def
cons
nil
cons
7000
def
cons
nil
cons
cons
3057
ref
subst
66
ref
6552
ref
appTerm
7001
def
refl
7002
def
nil
96
ref
6556
ref
nil
cons
7003
def
cons
nil
cons
nil
cons
cons
7004
def
2448
ref
subst
appThm
trans
absThm
appThm
trans
trans
appThm
6991
ref
refl
appThm
sym
nil
218
ref
400
ref
50
ref
400
ref
7001
ref
6556
ref
appTerm
7005
def
absTerm
7006
def
401
ref
appTerm
7007
def
appTerm
6991
ref
appTerm
7008
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
7008
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7007
ref
nil
cons
7009
def
cons
6993
ref
cons
nil
cons
cons
7010
def
76
ref
subst
7010
remove
107
ref
subst
7007
ref
betaConv
7007
remove
assume
eqMp
nil
25
ref
7005
remove
nil
cons
7011
def
cons
6993
remove
cons
nil
cons
cons
7012
def
135
ref
subst
proveHyp
7012
ref
76
ref
subst
7012
remove
107
ref
subst
nil
108
ref
6999
ref
cons
7013
def
110
ref
7003
remove
cons
nil
cons
cons
nil
cons
cons
7014
def
122
ref
subst
7014
remove
139
ref
subst
6990
ref
401
ref
appTerm
betaConv
sym
153
ref
153
ref
nil
96
ref
6999
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
6552
ref
assume
eqMp
appThm
149
ref
401
ref
appTerm
7015
def
refl
appThm
nil
96
ref
7015
remove
nil
cons
7016
def
cons
nil
cons
nil
cons
cons
7017
def
186
ref
subst
trans
7018
def
appThm
7004
remove
102
ref
subst
6556
remove
assume
eqMp
7019
def
appThm
7017
remove
936
ref
subst
trans
sym
141
ref
6641
ref
absTerm
7020
def
142
ref
appTerm
7021
def
betaConv
7022
def
sym
6982
remove
7019
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
7020
ref
nil
cons
cons
7023
def
234
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
267
ref
7020
ref
appTerm
7024
def
nil
cons
7025
def
cons
7026
def
6958
ref
cons
nil
cons
cons
7027
def
135
ref
subst
proveHyp
400
ref
50
ref
7024
remove
appTerm
7028
def
6935
ref
appTerm
7029
def
absTerm
7030
def
401
ref
appTerm
7031
def
betaConv
38
ref
200
ref
7030
ref
appTerm
7032
def
absTerm
7033
def
39
ref
appTerm
7034
def
betaConv
nil
200
ref
38
ref
200
ref
141
ref
200
ref
400
ref
50
ref
6641
ref
appTerm
6935
ref
appTerm
absTerm
7035
def
appTerm
7036
def
absTerm
7037
def
appTerm
7038
def
absTerm
7039
def
appTerm
7040
def
axiom
nil
25
ref
7040
ref
nil
cons
7041
def
cons
7042
def
43
ref
200
ref
7033
ref
appTerm
nil
cons
7043
def
cons
nil
cons
cons
nil
cons
cons
7044
def
135
ref
subst
proveHyp
7044
ref
76
ref
subst
7044
remove
107
ref
subst
nil
218
ref
7033
remove
nil
cons
cons
7045
def
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7032
remove
nil
cons
7046
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7030
remove
nil
cons
cons
7047
def
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
7029
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
7027
ref
76
ref
subst
7027
remove
107
ref
subst
nil
7042
ref
6958
ref
cons
nil
cons
cons
7048
def
135
ref
subst
nil
7026
remove
43
ref
50
ref
7040
remove
appTerm
6935
ref
appTerm
7049
def
nil
cons
7050
def
cons
nil
cons
7051
def
cons
nil
cons
cons
135
ref
subst
nil
218
ref
141
ref
50
ref
7021
ref
appTerm
7049
ref
appTerm
7052
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
7052
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7021
ref
nil
cons
7053
def
cons
7051
ref
cons
nil
cons
cons
7054
def
76
ref
subst
7054
remove
107
ref
subst
7022
remove
7021
remove
assume
eqMp
nil
25
ref
6641
remove
nil
cons
7055
def
cons
7056
def
7051
remove
cons
nil
cons
cons
7057
def
135
ref
subst
proveHyp
7057
ref
76
ref
subst
7057
remove
107
ref
subst
7048
ref
76
ref
subst
7048
remove
107
ref
subst
nil
7056
remove
6958
remove
cons
nil
cons
cons
135
ref
subst
7035
ref
401
ref
appTerm
7058
def
betaConv
7037
ref
142
ref
appTerm
7059
def
betaConv
7039
ref
39
ref
appTerm
7060
def
betaConv
nil
7042
remove
43
ref
7060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
7039
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7038
remove
nil
cons
cons
43
ref
7059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7037
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7036
remove
nil
cons
cons
43
ref
7058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7035
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
7041
remove
cons
7061
def
6975
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7055
remove
cons
110
ref
7050
remove
cons
nil
cons
7062
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7053
remove
cons
7062
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
7020
remove
734
ref
appTerm
appTerm
7049
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
7028
remove
7049
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7023
remove
7062
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
7025
remove
cons
6975
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7061
remove
110
ref
7043
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
7043
remove
cons
43
ref
7034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7045
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7046
remove
cons
43
ref
7031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7047
remove
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
nil
25
ref
6957
ref
cons
43
ref
7016
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
7063
def
proveHyp
nil
474
remove
nil
cons
nil
cons
cons
141
ref
50
ref
6930
remove
appTerm
150
ref
appTerm
absTerm
7064
def
142
ref
appTerm
7065
def
betaConv
38
ref
200
ref
7064
ref
appTerm
7066
def
absTerm
7067
def
39
ref
appTerm
7068
def
betaConv
nil
200
ref
7067
ref
appTerm
7069
def
axiom
nil
25
ref
7069
remove
nil
cons
cons
43
ref
7068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7067
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7066
remove
nil
cons
cons
43
ref
7065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7064
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
7070
def
eqMp
eqMp
eqMp
217
ref
218
ref
6990
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7011
remove
cons
110
ref
6992
remove
cons
nil
cons
7071
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7009
remove
cons
7071
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
7006
ref
734
ref
appTerm
appTerm
6991
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
267
ref
7006
ref
appTerm
appTerm
6991
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7006
remove
nil
cons
cons
7071
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
6977
remove
cons
110
ref
6978
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
25
ref
6849
remove
6913
remove
appTerm
nil
cons
cons
43
ref
6888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
518
ref
nil
3262
ref
3780
ref
nil
cons
7072
def
cons
3264
ref
6847
remove
cons
nil
cons
cons
nil
cons
cons
345
ref
1527
ref
subst
subst
appThm
sym
77
ref
518
ref
205
ref
219
ref
219
ref
52
ref
6850
remove
appTerm
3271
ref
3780
ref
appTerm
appTerm
absTerm
7073
def
734
ref
appTerm
betaConv
7074
def
absThm
appThm
appThm
appThm
2486
ref
219
ref
518
ref
7074
remove
appThm
absThm
appThm
appThm
nil
694
ref
7073
remove
nil
cons
cons
nil
cons
nil
cons
cons
6998
ref
subst
eqMp
2486
ref
219
ref
518
ref
77
ref
77
ref
3906
remove
3301
ref
3138
ref
2486
ref
141
ref
3302
remove
6865
remove
appThm
absThm
appThm
absThm
appThm
appThm
appThm
6864
ref
734
ref
appTerm
betaConv
appThm
nil
6869
remove
nil
cons
nil
cons
cons
3305
remove
subst
eqMp
appThm
3784
remove
appThm
nil
96
ref
66
ref
5132
ref
appTerm
6857
ref
appTerm
7075
def
nil
cons
cons
nil
cons
nil
cons
cons
7076
def
3753
remove
subst
trans
appThm
7076
remove
2448
ref
subst
trans
absThm
appThm
trans
sym
6984
remove
39
ref
appTerm
7077
def
betaConv
6987
remove
nil
6988
remove
43
ref
7077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
6989
remove
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
419
ref
66
ref
66
ref
6592
ref
appTerm
7078
def
200
ref
400
ref
6553
remove
419
ref
6935
ref
appTerm
7079
def
appTerm
absTerm
7080
def
appTerm
7081
def
appTerm
appTerm
2895
ref
appTerm
appTerm
nil
cons
cons
43
ref
267
ref
219
ref
7075
remove
absTerm
7082
def
appTerm
7083
def
nil
cons
7084
def
cons
nil
cons
7085
def
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
518
ref
153
ref
153
ref
nil
96
ref
6600
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
6592
remove
assume
eqMp
appThm
7081
ref
refl
appThm
nil
96
ref
7081
remove
nil
cons
cons
nil
cons
nil
cons
cons
7086
def
186
ref
subst
trans
appThm
2903
remove
appThm
7086
remove
936
ref
subst
trans
appThm
77
ref
518
ref
205
ref
400
ref
7080
ref
401
ref
appTerm
betaConv
7087
def
absThm
appThm
appThm
appThm
2486
ref
400
ref
518
ref
7087
remove
appThm
absThm
appThm
appThm
nil
694
ref
7080
remove
nil
cons
cons
nil
cons
nil
cons
cons
6998
ref
subst
eqMp
2486
ref
400
ref
nil
2766
ref
7079
remove
nil
cons
cons
7000
remove
cons
nil
cons
cons
3057
ref
subst
7002
remove
nil
96
ref
6957
remove
cons
nil
cons
nil
cons
cons
2448
ref
subst
appThm
trans
absThm
appThm
trans
trans
appThm
7083
ref
refl
7088
def
appThm
sym
nil
218
ref
400
ref
50
ref
400
ref
7001
remove
6935
remove
appTerm
7089
def
absTerm
7090
def
401
ref
appTerm
7091
def
appTerm
7083
ref
appTerm
7092
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
7092
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7091
ref
nil
cons
7093
def
cons
7085
ref
cons
nil
cons
cons
7094
def
76
ref
subst
7094
remove
107
ref
subst
7091
ref
betaConv
7091
remove
assume
eqMp
nil
25
ref
7089
remove
nil
cons
7095
def
cons
7085
remove
cons
nil
cons
cons
7096
def
135
ref
subst
proveHyp
7096
ref
76
ref
subst
7096
remove
107
ref
subst
nil
7013
remove
6975
remove
cons
nil
cons
cons
7097
def
122
ref
subst
7097
remove
139
ref
subst
7082
ref
401
ref
appTerm
betaConv
sym
7018
remove
sym
7063
remove
7070
remove
eqMp
eqMp
eqMp
217
ref
218
ref
7082
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7095
remove
cons
110
ref
7084
remove
cons
nil
cons
7098
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7093
remove
cons
7098
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
7090
ref
734
ref
appTerm
appTerm
7083
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
267
ref
7090
ref
appTerm
appTerm
7083
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7090
remove
nil
cons
cons
7098
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
6639
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6600
remove
cons
110
ref
6602
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
5132
ref
appTerm
267
ref
3829
ref
6596
remove
148
ref
734
ref
appTerm
7099
def
6594
ref
appTerm
7100
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
6590
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3262
ref
6580
remove
cons
5057
remove
cons
nil
cons
cons
3262
remove
50
ref
200
ref
219
ref
3905
remove
267
ref
3829
ref
66
ref
6595
remove
3899
ref
appTerm
appTerm
7100
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
148
ref
3788
ref
appTerm
3779
ref
3899
ref
appTerm
appTerm
appTerm
absTerm
7101
def
3899
ref
appTerm
7102
def
betaConv
3264
ref
3354
ref
7101
ref
appTerm
7103
def
absTerm
7104
def
3348
ref
appTerm
7105
def
betaConv
nil
3354
ref
7104
ref
appTerm
7106
def
axiom
nil
25
ref
7106
remove
nil
cons
cons
43
ref
7105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
7104
remove
nil
cons
cons
3361
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7103
remove
nil
cons
cons
43
ref
7102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
7101
remove
nil
cons
cons
3359
ref
3899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
108
ref
6566
remove
cons
110
ref
6568
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
3354
ref
6565
remove
appTerm
thm
nil
707
remove
694
ref
50
ref
1034
remove
appTerm
1038
remove
appTerm
7107
def
absTerm
7108
def
nil
cons
cons
nil
cons
nil
cons
cons
706
remove
23
ref
cons
252
ref
subst
subst
694
ref
nil
96
ref
7107
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
1116
remove
eqMp
absThm
eqMp
nil
704
remove
7108
remove
appTerm
thm
nil
"P"
1857
ref
var
7109
def
3713
ref
1430
ref
1417
ref
200
ref
38
ref
52
ref
1858
ref
1301
ref
4151
remove
3713
ref
varTerm
7110
def
1308
ref
appTerm
7111
def
appTerm
absTerm
7112
def
appTerm
7113
def
appTerm
7114
def
200
ref
141
ref
50
ref
144
ref
3141
ref
appTerm
7115
def
appTerm
7110
ref
3989
ref
appTerm
7116
def
appTerm
absTerm
7117
def
appTerm
7118
def
appTerm
7119
def
absTerm
7120
def
appTerm
7121
def
absTerm
7122
def
appTerm
7123
def
absTerm
7124
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1314
ref
cons
nil
cons
7125
def
23
ref
cons
252
ref
subst
7126
def
subst
3713
ref
nil
96
ref
7123
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
7122
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7121
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7120
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7119
remove
nil
cons
7127
def
cons
nil
cons
nil
cons
cons
102
ref
subst
77
ref
77
ref
518
ref
1936
ref
1301
ref
7112
ref
1308
ref
appTerm
betaConv
7128
def
absThm
appThm
appThm
appThm
2488
ref
1301
ref
518
ref
7128
remove
appThm
absThm
appThm
appThm
nil
3713
ref
7112
remove
nil
cons
cons
nil
cons
nil
cons
cons
2370
ref
2483
remove
subst
subst
eqMp
7129
def
2488
ref
1301
ref
nil
2766
ref
7111
ref
nil
cons
7130
def
cons
2767
ref
4018
remove
cons
nil
cons
cons
nil
cons
cons
3057
ref
subst
nil
4914
ref
419
ref
7111
ref
appTerm
7131
def
nil
cons
cons
2766
ref
4022
remove
cons
2767
ref
1879
remove
cons
nil
cons
cons
7132
def
cons
nil
cons
cons
4914
ref
52
ref
66
ref
3050
ref
2769
ref
appTerm
appTerm
4916
ref
appTerm
7133
def
appTerm
3050
remove
66
ref
2769
ref
appTerm
4916
ref
appTerm
appTerm
7134
def
appTerm
7135
def
absTerm
7136
def
4916
ref
appTerm
7137
def
betaConv
2766
ref
159
ref
7136
ref
appTerm
7138
def
absTerm
7139
def
2769
ref
appTerm
7140
def
betaConv
2767
ref
159
ref
7139
ref
appTerm
7141
def
absTerm
7142
def
2768
ref
appTerm
7143
def
betaConv
nil
159
ref
7142
ref
appTerm
7144
def
axiom
7145
def
nil
25
ref
7144
remove
nil
cons
cons
43
ref
7143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7142
remove
nil
cons
cons
2781
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7141
remove
nil
cons
cons
43
ref
7140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7139
remove
nil
cons
cons
2782
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7138
remove
nil
cons
cons
43
ref
7137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7136
remove
nil
cons
cons
4936
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
7146
def
subst
trans
absThm
appThm
7147
def
77
ref
2488
ref
1301
ref
4337
ref
66
ref
4002
remove
appTerm
7148
def
refl
7149
def
1301
ref
7131
remove
absTerm
7150
def
1308
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
7151
def
2486
ref
141
ref
4530
ref
4609
ref
7150
ref
3989
ref
appTerm
betaConv
7152
def
appThm
appThm
absThm
appThm
appThm
nil
3713
ref
7150
remove
nil
cons
cons
nil
cons
nil
cons
cons
7153
def
38
ref
52
ref
1923
ref
1301
ref
3243
ref
7148
remove
7111
ref
appTerm
7154
def
appTerm
absTerm
appTerm
appTerm
7155
def
267
ref
141
ref
144
ref
3988
ref
7116
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
7156
def
39
ref
appTerm
7157
def
betaConv
1417
ref
200
ref
7156
ref
appTerm
7158
def
absTerm
7159
def
1418
ref
appTerm
7160
def
betaConv
3713
ref
1430
ref
7159
ref
appTerm
7161
def
absTerm
7162
def
7110
ref
appTerm
7163
def
betaConv
158
ref
1
ref
1857
remove
4
ref
cons
opType
constTerm
7164
def
refl
3713
ref
1431
ref
1417
ref
205
ref
38
ref
77
ref
2488
ref
1301
ref
nil
4914
ref
7130
ref
cons
7132
remove
cons
nil
cons
cons
4914
ref
52
ref
7134
remove
appTerm
7133
remove
appTerm
7165
def
absTerm
7166
def
4916
remove
appTerm
7167
def
betaConv
2766
ref
159
ref
7166
ref
appTerm
7168
def
absTerm
7169
def
2769
remove
appTerm
7170
def
betaConv
2767
ref
159
ref
7169
ref
appTerm
7171
def
absTerm
7172
def
2768
remove
appTerm
7173
def
betaConv
325
ref
2767
ref
325
ref
2766
ref
325
remove
4914
ref
7165
remove
assume
sym
7135
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
7145
remove
eqMp
nil
25
ref
159
ref
7172
ref
appTerm
nil
cons
cons
43
ref
7173
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7172
remove
nil
cons
cons
2781
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7171
remove
nil
cons
cons
43
ref
7170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7169
remove
nil
cons
cons
2782
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7168
remove
nil
cons
cons
43
ref
7167
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7166
remove
nil
cons
cons
4936
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
7174
def
subst
153
ref
4219
remove
2486
ref
392
ref
nil
4914
ref
4173
remove
cons
2766
ref
4172
ref
cons
2767
ref
4166
remove
cons
nil
cons
cons
cons
nil
cons
cons
7174
ref
subst
absThm
appThm
trans
appThm
7111
ref
refl
appThm
trans
absThm
appThm
appThm
2486
ref
141
ref
nil
4914
ref
7116
ref
nil
cons
7175
def
cons
7176
def
2766
ref
4604
ref
cons
2767
ref
309
ref
cons
nil
cons
7177
def
cons
7178
def
cons
nil
cons
cons
7174
ref
subst
absThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
7109
ref
3713
ref
1430
ref
1417
ref
200
ref
38
ref
52
ref
1923
ref
1301
ref
66
ref
267
ref
392
ref
66
ref
4004
remove
395
ref
appTerm
7179
def
appTerm
7180
def
4007
remove
appTerm
7181
def
absTerm
7182
def
appTerm
7183
def
appTerm
7111
ref
appTerm
7184
def
absTerm
7185
def
appTerm
7186
def
appTerm
267
ref
141
ref
66
ref
7115
ref
appTerm
7116
ref
appTerm
7187
def
absTerm
7188
def
appTerm
7189
def
appTerm
7190
def
absTerm
7191
def
appTerm
7192
def
absTerm
7193
def
appTerm
7194
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
7126
ref
subst
3713
ref
nil
96
ref
7194
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
7193
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7192
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7191
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7190
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7186
ref
nil
cons
7195
def
cons
43
ref
7189
ref
nil
cons
7196
def
cons
nil
cons
7197
def
cons
nil
cons
cons
140
ref
subst
nil
1871
ref
1301
ref
50
ref
7185
ref
1308
ref
appTerm
7198
def
appTerm
7189
ref
appTerm
7199
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
7199
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7198
ref
nil
cons
7200
def
cons
7197
ref
cons
nil
cons
cons
7201
def
76
ref
subst
7201
remove
107
ref
subst
7198
ref
betaConv
7198
remove
assume
eqMp
nil
25
ref
7184
remove
nil
cons
7202
def
cons
7197
ref
cons
nil
cons
cons
7203
def
135
ref
subst
proveHyp
7203
ref
76
ref
subst
7203
remove
107
ref
subst
nil
108
ref
7183
ref
nil
cons
7204
def
cons
110
ref
7130
ref
cons
nil
cons
cons
nil
cons
cons
7205
def
122
ref
subst
7205
remove
139
ref
subst
nil
25
ref
7204
remove
cons
7197
ref
cons
nil
cons
cons
135
ref
subst
nil
218
ref
392
ref
50
ref
7182
ref
393
ref
appTerm
7206
def
appTerm
7189
ref
appTerm
7207
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
392
ref
nil
96
ref
7207
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7206
ref
nil
cons
7208
def
cons
7197
ref
cons
nil
cons
cons
7209
def
76
ref
subst
7209
remove
107
ref
subst
7206
ref
betaConv
7206
remove
assume
eqMp
nil
25
ref
7181
remove
nil
cons
7210
def
cons
7197
remove
cons
nil
cons
cons
7211
def
135
ref
subst
proveHyp
7211
ref
76
ref
subst
7211
remove
107
ref
subst
nil
108
ref
7179
remove
nil
cons
cons
4174
remove
cons
nil
cons
cons
7212
def
122
ref
subst
7212
remove
139
ref
subst
nil
4167
remove
110
ref
4172
remove
cons
nil
cons
cons
nil
cons
cons
7213
def
122
ref
subst
7213
remove
139
ref
subst
7188
ref
393
ref
appTerm
betaConv
sym
153
ref
6542
remove
6543
remove
appThm
1044
ref
trans
appThm
nil
96
ref
7110
ref
4006
ref
appTerm
7214
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
52
ref
"_11079"
1293
ref
var
7215
def
7110
ref
7215
remove
varTerm
appTerm
absTerm
7216
def
1308
ref
appTerm
7217
def
appTerm
refl
7216
ref
4006
ref
appTerm
betaConv
appThm
77
ref
7217
remove
betaConv
appThm
7214
remove
refl
appThm
trans
7216
remove
refl
4185
remove
appThm
eqMp
7111
ref
assume
eqMp
eqMp
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
7188
ref
nil
cons
cons
7218
def
630
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7210
remove
cons
110
ref
7196
remove
cons
nil
cons
7219
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7208
remove
cons
7219
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
7182
ref
734
ref
appTerm
appTerm
7189
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
7183
remove
appTerm
7189
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7182
remove
nil
cons
cons
7219
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
7202
remove
cons
7219
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7200
remove
cons
7219
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
1858
ref
1872
ref
50
ref
7185
ref
2720
ref
appTerm
appTerm
7189
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
7186
ref
appTerm
7189
ref
appTerm
nil
cons
7220
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
7185
ref
nil
cons
cons
7221
def
7219
remove
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
7220
remove
cons
43
ref
50
ref
7189
remove
appTerm
7186
ref
appTerm
nil
cons
cons
nil
cons
7222
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
218
ref
141
ref
50
ref
7188
ref
142
ref
appTerm
7223
def
appTerm
7186
ref
appTerm
7224
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
7224
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7223
ref
nil
cons
7225
def
cons
43
ref
7195
ref
cons
nil
cons
7226
def
cons
nil
cons
cons
7227
def
76
ref
subst
7227
remove
107
ref
subst
7223
ref
betaConv
7223
remove
assume
eqMp
nil
25
ref
7187
remove
nil
cons
7228
def
cons
7226
remove
cons
nil
cons
cons
7229
def
135
ref
subst
proveHyp
7229
ref
76
ref
subst
7229
remove
107
ref
subst
nil
108
ref
7115
remove
nil
cons
7230
def
cons
110
ref
7175
ref
cons
nil
cons
cons
nil
cons
cons
7231
def
122
ref
subst
7231
remove
139
ref
subst
nil
1777
ref
110
ref
4604
ref
cons
nil
cons
cons
nil
cons
cons
7232
def
122
ref
subst
7232
remove
139
ref
subst
7185
remove
3989
ref
appTerm
betaConv
sym
66
ref
267
ref
392
ref
7180
remove
1316
ref
3989
ref
appTerm
7233
def
4006
remove
appTerm
appTerm
absTerm
7234
def
appTerm
7235
def
appTerm
refl
nil
96
ref
7175
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
7116
ref
assume
eqMp
appThm
nil
96
ref
7235
remove
nil
cons
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
sym
7234
ref
142
ref
appTerm
betaConv
sym
153
ref
2871
remove
nil
96
ref
4604
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
3141
ref
assume
eqMp
appThm
1044
ref
trans
appThm
nil
1872
ref
3989
ref
nil
cons
7236
def
cons
nil
cons
7237
def
nil
cons
cons
2384
remove
subst
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
217
ref
218
ref
7234
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
1870
ref
7221
remove
7237
remove
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7228
remove
cons
110
ref
7195
remove
cons
nil
cons
7238
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7225
remove
cons
7238
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
7188
remove
734
ref
appTerm
appTerm
7186
remove
appTerm
absTerm
appTerm
nil
cons
cons
7222
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7218
remove
7238
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
7239
def
nil
25
ref
7164
ref
7162
ref
appTerm
7240
def
nil
cons
cons
43
ref
7163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
7125
ref
7109
ref
7162
remove
nil
cons
cons
"x"
1313
ref
var
7110
ref
nil
cons
cons
nil
cons
7241
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7161
remove
nil
cons
cons
43
ref
7160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
7159
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7158
remove
nil
cons
cons
43
ref
7157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7156
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
trans
trans
appThm
77
ref
518
ref
205
ref
141
ref
7117
ref
142
ref
appTerm
betaConv
7242
def
absThm
appThm
appThm
appThm
2486
ref
141
ref
518
ref
7242
remove
appThm
absThm
appThm
appThm
nil
694
ref
7117
remove
nil
cons
cons
nil
cons
nil
cons
cons
6998
ref
subst
eqMp
2486
ref
141
ref
nil
2766
ref
7175
remove
cons
7243
def
2767
ref
7230
remove
cons
nil
cons
cons
nil
cons
cons
3057
ref
subst
nil
4914
ref
419
ref
7116
ref
appTerm
7244
def
nil
cons
cons
7245
def
7178
remove
cons
nil
cons
cons
7146
ref
subst
trans
absThm
appThm
trans
appThm
nil
20
ref
267
ref
141
ref
144
ref
3988
ref
7244
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2450
ref
subst
trans
sym
94
ref
eqMp
nil
25
ref
52
ref
419
ref
7113
ref
appTerm
appTerm
7246
def
419
ref
7118
ref
appTerm
appTerm
nil
cons
cons
43
ref
7127
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
541
ref
7118
remove
nil
cons
cons
20
ref
7113
remove
nil
cons
cons
nil
cons
7247
def
cons
nil
cons
cons
nil
546
ref
43
ref
50
ref
52
ref
547
remove
appTerm
419
ref
548
ref
appTerm
7248
def
appTerm
appTerm
543
remove
548
ref
appTerm
appTerm
nil
cons
7249
def
cons
nil
cons
7250
def
cons
nil
cons
cons
7251
def
76
ref
subst
7251
remove
107
ref
subst
52
ref
"_11091"
3
ref
var
7252
def
50
ref
52
ref
419
ref
7252
remove
varTerm
7253
def
appTerm
appTerm
7248
ref
appTerm
appTerm
52
ref
7253
remove
appTerm
548
ref
appTerm
appTerm
absTerm
7254
def
542
ref
appTerm
7255
def
appTerm
refl
7256
def
7254
ref
15
ref
appTerm
betaConv
appThm
77
ref
7255
remove
betaConv
appThm
7257
def
50
ref
538
ref
7248
ref
appTerm
appTerm
533
remove
548
ref
appTerm
appTerm
refl
appThm
trans
7254
remove
refl
7258
def
561
ref
appThm
eqMp
sym
51
ref
77
ref
539
ref
appThm
7259
def
7248
ref
refl
7260
def
appThm
nil
96
ref
7248
ref
nil
cons
cons
nil
cons
nil
cons
cons
7261
def
1099
ref
subst
trans
appThm
563
ref
2513
ref
subst
appThm
7261
ref
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
577
ref
110
ref
7249
ref
cons
nil
cons
7262
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
581
ref
7250
remove
cons
nil
cons
cons
7263
def
76
ref
subst
7263
remove
107
ref
subst
7256
remove
"_11089"
3
ref
var
7264
def
50
ref
52
ref
419
ref
7264
remove
varTerm
7265
def
appTerm
appTerm
7248
ref
appTerm
appTerm
52
ref
7265
remove
appTerm
548
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
7257
remove
50
ref
589
ref
7248
remove
appTerm
appTerm
1095
remove
548
ref
appTerm
appTerm
refl
appThm
trans
7258
remove
588
ref
appThm
eqMp
sym
51
ref
77
ref
590
ref
appThm
7266
def
7260
remove
appThm
7261
remove
2513
ref
subst
563
ref
2448
ref
subst
trans
trans
appThm
563
remove
1099
ref
subst
appThm
574
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
602
ref
7262
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
610
ref
nil
602
ref
611
ref
612
ref
7249
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
7267
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7164
ref
7124
remove
appTerm
thm
7239
remove
nil
7240
remove
thm
nil
1454
ref
1417
ref
200
ref
38
ref
6513
remove
absTerm
7268
def
appTerm
7269
def
absTerm
7270
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7269
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7268
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
6514
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
3776
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7271
def
nil
1430
ref
7270
remove
appTerm
7272
def
thm
nil
1454
ref
1417
ref
200
ref
38
ref
50
ref
2422
ref
3395
remove
appTerm
appTerm
3961
remove
appTerm
7273
def
absTerm
7274
def
appTerm
7275
def
absTerm
7276
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7275
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7274
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7273
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
6521
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1430
ref
7276
remove
appTerm
thm
nil
1454
ref
1417
ref
1858
ref
"A"
1293
ref
var
7277
def
50
ref
66
ref
3960
remove
appTerm
1321
ref
7277
ref
varTerm
7278
def
appTerm
7279
def
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
3174
remove
7278
ref
appTerm
7280
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
7281
def
absTerm
7282
def
appTerm
7283
def
absTerm
7284
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7283
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
7282
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
7277
remove
nil
96
ref
7281
ref
nil
cons
7285
def
cons
nil
cons
nil
cons
cons
7286
def
102
ref
subst
38
ref
50
ref
3413
remove
7279
ref
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
7280
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
7287
def
1264
ref
appTerm
7288
def
betaConv
3433
remove
7278
ref
appTerm
7289
def
betaConv
3714
ref
nil
3717
remove
43
ref
7289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
3718
remove
1872
ref
7278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
7287
ref
appTerm
nil
cons
cons
43
ref
7288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7287
remove
nil
cons
cons
219
ref
1302
remove
cons
nil
cons
7290
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
50
ref
66
ref
166
ref
35
ref
166
ref
449
ref
50
ref
66
ref
1265
remove
appTerm
7291
def
66
ref
3362
ref
1264
ref
appTerm
appTerm
3388
ref
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
7279
ref
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
7291
ref
7280
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
43
ref
7285
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
153
ref
204
ref
35
ref
204
ref
449
ref
51
ref
153
ref
1269
ref
appThm
7292
def
153
ref
6240
ref
1269
remove
subst
appThm
3388
ref
refl
appThm
nil
96
ref
3443
ref
cons
nil
cons
nil
cons
cons
186
ref
subst
7293
def
trans
appThm
7293
remove
trans
appThm
3366
ref
appThm
absThm
appThm
absThm
appThm
appThm
7279
remove
refl
appThm
appThm
380
ref
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
7292
ref
7280
ref
refl
appThm
nil
96
ref
7280
remove
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
7281
remove
refl
appThm
7286
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1430
ref
7284
remove
appTerm
thm
3877
ref
5025
ref
nil
306
ref
3270
ref
"Set.bigIntersect"
const
3778
remove
constTerm
7294
def
5026
ref
appTerm
7295
def
appTerm
5026
ref
appTerm
7296
def
nil
cons
7297
def
cons
7298
def
43
ref
66
ref
419
ref
3152
ref
5026
ref
appTerm
7299
def
3780
ref
appTerm
7300
def
appTerm
7301
def
appTerm
7302
def
200
ref
38
ref
200
ref
141
ref
50
ref
7078
remove
5059
ref
appTerm
appTerm
456
ref
150
ref
appTerm
3141
remove
appTerm
7303
def
appTerm
absTerm
appTerm
absTerm
appTerm
7304
def
appTerm
7305
def
nil
cons
cons
6567
remove
nil
cons
cons
7306
def
cons
nil
cons
cons
338
ref
subst
6890
ref
nil
7298
remove
43
ref
7304
remove
nil
cons
cons
25
ref
7301
ref
nil
cons
7307
def
cons
7308
def
nil
cons
cons
7309
def
cons
nil
cons
cons
338
ref
subst
50
ref
7301
remove
appTerm
7310
def
refl
7311
def
51
ref
205
ref
38
ref
205
ref
141
ref
nil
306
ref
7303
ref
nil
cons
cons
5144
remove
6601
remove
nil
cons
cons
cons
nil
cons
cons
338
ref
subst
absThm
appThm
absThm
appThm
appThm
7312
def
7296
ref
refl
7313
def
appThm
appThm
trans
appThm
trans
absThm
appThm
sym
153
ref
51
ref
518
ref
nil
3359
remove
7072
remove
cons
nil
cons
nil
cons
cons
3807
ref
1258
remove
subst
subst
7314
def
appThm
590
ref
trans
appThm
7315
def
51
ref
205
ref
38
ref
77
ref
205
ref
141
ref
50
ref
6591
ref
3780
ref
appTerm
7316
def
appTerm
7317
def
refl
7318
def
141
ref
3786
remove
7303
ref
appTerm
7319
def
absTerm
7320
def
142
ref
appTerm
betaConv
7321
def
appThm
absThm
appThm
appThm
7318
remove
205
ref
141
ref
7321
remove
absThm
appThm
appThm
appThm
nil
344
ref
7320
ref
nil
cons
cons
25
ref
7316
remove
nil
cons
7322
def
cons
nil
cons
cons
nil
cons
cons
366
ref
subst
eqMp
absThm
appThm
appThm
7323
def
3270
ref
7294
ref
3780
ref
appTerm
7324
def
appTerm
3780
ref
appTerm
7325
def
refl
appThm
appThm
nil
96
ref
50
ref
200
ref
38
ref
7317
ref
200
ref
7320
remove
appTerm
7326
def
appTerm
absTerm
appTerm
7327
def
appTerm
7328
def
7325
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
appThm
205
ref
219
ref
3877
ref
3264
ref
51
ref
50
ref
419
ref
6652
remove
appTerm
appTerm
7329
def
refl
7330
def
51
ref
205
ref
38
ref
77
ref
205
ref
141
ref
50
ref
6591
ref
3348
ref
appTerm
7331
def
appTerm
7332
def
refl
7333
def
141
ref
3792
ref
7303
ref
appTerm
7334
def
absTerm
7335
def
142
ref
appTerm
betaConv
7336
def
appThm
absThm
appThm
appThm
7333
ref
205
ref
141
ref
7336
remove
absThm
appThm
appThm
appThm
nil
344
ref
7335
ref
nil
cons
cons
25
ref
7331
remove
nil
cons
cons
nil
cons
7337
def
cons
nil
cons
cons
366
ref
subst
eqMp
absThm
appThm
appThm
7338
def
3270
ref
7294
ref
3348
ref
appTerm
7339
def
appTerm
3348
ref
appTerm
7340
def
refl
appThm
appThm
appThm
50
ref
419
ref
3152
ref
3798
ref
appTerm
3780
ref
appTerm
appTerm
appTerm
7341
def
refl
7342
def
51
ref
205
ref
38
ref
77
ref
205
ref
141
ref
50
ref
6591
ref
3798
ref
appTerm
7343
def
appTerm
7344
def
refl
7345
def
141
ref
3800
ref
7303
ref
appTerm
7346
def
absTerm
7347
def
142
ref
appTerm
betaConv
7348
def
appThm
absThm
appThm
appThm
7345
ref
205
ref
141
ref
7348
remove
absThm
appThm
appThm
appThm
nil
344
ref
7347
remove
nil
cons
cons
25
ref
7343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
366
remove
subst
eqMp
7345
ref
77
ref
205
ref
141
ref
3800
remove
refl
141
ref
7303
ref
absTerm
7349
def
142
ref
appTerm
betaConv
7350
def
appThm
absThm
appThm
appThm
153
ref
7349
ref
734
ref
appTerm
betaConv
appThm
205
ref
141
ref
3792
ref
refl
7350
remove
appThm
absThm
appThm
appThm
appThm
nil
694
ref
7349
remove
nil
cons
cons
700
remove
3813
ref
cons
nil
cons
7351
def
cons
nil
cons
cons
345
ref
38
ref
52
ref
166
ref
35
ref
3213
remove
241
ref
appTerm
absTerm
appTerm
appTerm
66
ref
6715
ref
appTerm
166
ref
35
ref
435
ref
241
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
7352
def
39
ref
appTerm
7353
def
betaConv
1835
ref
200
ref
7352
ref
appTerm
7354
def
absTerm
7355
def
1836
ref
appTerm
7356
def
betaConv
175
ref
166
ref
7355
ref
appTerm
7357
def
absTerm
7358
def
177
ref
appTerm
7359
def
betaConv
nil
354
ref
7358
ref
appTerm
7360
def
axiom
nil
25
ref
7360
remove
nil
cons
cons
43
ref
7359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
7358
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7357
remove
nil
cons
cons
43
ref
7356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
7355
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7354
remove
nil
cons
cons
43
ref
7353
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7352
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
7361
def
subst
eqMp
appThm
trans
absThm
appThm
77
ref
205
ref
38
ref
7345
remove
38
ref
66
ref
456
ref
6857
remove
appTerm
7099
ref
39
ref
appTerm
appTerm
7362
def
appTerm
200
ref
7335
remove
appTerm
7363
def
appTerm
7364
def
absTerm
7365
def
39
ref
appTerm
betaConv
7366
def
appThm
absThm
appThm
appThm
153
ref
7365
ref
734
ref
appTerm
betaConv
appThm
205
ref
38
ref
7333
remove
7366
remove
appThm
absThm
appThm
appThm
appThm
nil
694
ref
7365
remove
nil
cons
cons
7351
remove
cons
nil
cons
cons
7361
remove
subst
eqMp
153
ref
153
ref
nil
96
ref
7099
ref
734
ref
appTerm
7367
def
nil
cons
cons
nil
cons
nil
cons
cons
2764
remove
subst
appThm
200
ref
141
ref
3792
remove
456
ref
7099
remove
142
ref
appTerm
appTerm
411
remove
734
ref
appTerm
appTerm
appTerm
absTerm
appTerm
7368
def
refl
appThm
appThm
200
ref
38
ref
7332
ref
7364
remove
appTerm
absTerm
appTerm
7369
def
refl
appThm
trans
trans
appThm
7370
def
5155
ref
3815
remove
3812
remove
188
ref
7294
ref
3818
remove
appTerm
appTerm
2990
ref
7294
ref
3817
ref
appTerm
appTerm
appTerm
absTerm
7371
def
3817
remove
appTerm
7372
def
betaConv
38
ref
3354
ref
7371
ref
appTerm
7373
def
absTerm
7374
def
39
ref
appTerm
7375
def
betaConv
nil
200
ref
7374
ref
appTerm
7376
def
axiom
nil
25
ref
7376
remove
nil
cons
cons
43
ref
7375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7374
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7373
remove
nil
cons
cons
43
ref
7372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
ref
3358
ref
7371
remove
nil
cons
cons
3825
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
3798
ref
refl
7377
def
appThm
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
200
ref
219
ref
3354
ref
3264
ref
50
ref
7329
ref
50
ref
200
ref
38
ref
7332
ref
7363
ref
appTerm
absTerm
7378
def
appTerm
7379
def
appTerm
7380
def
7340
ref
appTerm
appTerm
appTerm
7381
def
7341
ref
50
ref
66
ref
66
ref
7367
remove
appTerm
7368
remove
appTerm
appTerm
7382
def
7369
remove
appTerm
appTerm
7383
def
3270
ref
2989
remove
734
ref
appTerm
7339
ref
appTerm
appTerm
3798
ref
appTerm
7384
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
205
ref
219
ref
3877
ref
3264
ref
7381
ref
refl
51
ref
518
ref
345
ref
6731
remove
subst
appThm
539
ref
trans
appThm
7385
def
51
ref
7382
ref
refl
205
ref
38
ref
nil
306
ref
7363
ref
nil
cons
cons
43
ref
7362
ref
nil
cons
cons
7337
remove
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
52
ref
63
ref
5293
ref
appTerm
appTerm
66
ref
64
remove
appTerm
623
ref
appTerm
appTerm
nil
cons
7386
def
cons
nil
cons
7387
def
cons
nil
cons
cons
7388
def
76
ref
subst
7388
remove
107
ref
subst
52
ref
"_11380"
3
ref
var
7389
def
52
ref
50
ref
7389
remove
varTerm
appTerm
7390
def
5293
ref
appTerm
appTerm
66
ref
7390
ref
55
ref
appTerm
appTerm
7390
remove
312
ref
appTerm
appTerm
appTerm
absTerm
7391
def
53
ref
appTerm
7392
def
appTerm
refl
7393
def
7391
ref
15
ref
appTerm
betaConv
appThm
77
ref
7392
remove
betaConv
appThm
7394
def
52
ref
529
ref
5293
ref
appTerm
appTerm
66
ref
5834
remove
appTerm
529
ref
312
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7391
remove
refl
7395
def
2509
ref
appThm
eqMp
sym
77
ref
nil
96
ref
5293
ref
nil
cons
7396
def
cons
nil
cons
nil
cons
cons
7397
def
600
ref
subst
appThm
153
ref
5944
remove
appThm
5329
ref
600
ref
subst
appThm
1044
ref
trans
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
7386
ref
cons
nil
cons
7398
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
7387
remove
cons
nil
cons
cons
7399
def
76
ref
subst
7399
remove
107
ref
subst
7393
remove
"_11378"
3
ref
var
7400
def
52
ref
50
ref
7400
remove
varTerm
appTerm
7401
def
5293
ref
appTerm
appTerm
66
ref
7401
ref
55
ref
appTerm
appTerm
7401
remove
312
ref
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
7394
remove
52
ref
497
ref
5293
ref
appTerm
appTerm
66
ref
5842
remove
appTerm
497
ref
312
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7395
remove
2533
ref
appThm
eqMp
sym
77
ref
7397
ref
501
ref
subst
appThm
153
ref
5843
remove
appThm
5329
remove
501
ref
subst
appThm
appThm
nil
20
ref
7396
remove
cons
nil
cons
nil
cons
cons
2450
ref
subst
7402
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
7398
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
7386
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
absThm
appThm
77
ref
205
ref
38
ref
153
ref
38
ref
7332
ref
7362
remove
appTerm
absTerm
7403
def
39
ref
appTerm
betaConv
7404
def
appThm
7378
ref
39
ref
appTerm
betaConv
7405
def
appThm
absThm
appThm
appThm
153
ref
205
ref
38
ref
7404
remove
absThm
appThm
appThm
205
ref
38
ref
7405
remove
absThm
appThm
appThm
appThm
nil
694
ref
7403
ref
nil
cons
cons
344
ref
7378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4461
remove
subst
eqMp
trans
appThm
appThm
7406
def
7384
ref
refl
appThm
appThm
nil
96
ref
50
ref
7382
remove
66
ref
200
ref
7403
remove
appTerm
appTerm
7379
ref
appTerm
appTerm
appTerm
7407
def
7384
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
absThm
appThm
absThm
appThm
sym
nil
218
ref
38
ref
3354
ref
3264
ref
7381
remove
50
ref
66
ref
66
ref
2895
remove
appTerm
7408
def
7363
remove
appTerm
appTerm
66
ref
200
ref
392
ref
50
ref
3270
ref
393
ref
appTerm
7409
def
3348
ref
appTerm
appTerm
456
ref
395
remove
appTerm
149
remove
393
ref
appTerm
appTerm
7410
def
appTerm
absTerm
appTerm
appTerm
7379
remove
appTerm
appTerm
appTerm
7411
def
3270
ref
2990
ref
7339
remove
appTerm
appTerm
3816
ref
3348
ref
appTerm
7412
def
appTerm
appTerm
appTerm
absTerm
appTerm
7413
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7413
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3358
ref
5025
ref
50
ref
7310
ref
50
ref
200
ref
38
ref
6593
ref
200
ref
141
ref
50
ref
5059
ref
appTerm
7414
def
7303
ref
appTerm
7415
def
absTerm
7416
def
appTerm
7417
def
appTerm
7418
def
absTerm
7419
def
appTerm
7420
def
appTerm
7421
def
7296
ref
appTerm
7422
def
appTerm
appTerm
50
ref
66
ref
7408
ref
7417
ref
appTerm
7423
def
appTerm
66
ref
200
ref
392
ref
50
ref
7409
ref
5026
ref
appTerm
appTerm
7410
ref
appTerm
absTerm
7424
def
appTerm
7425
def
appTerm
7420
ref
appTerm
7426
def
appTerm
7427
def
appTerm
7428
def
3270
ref
2990
ref
7295
ref
appTerm
7429
def
appTerm
7430
def
3816
remove
5026
ref
appTerm
7431
def
appTerm
appTerm
appTerm
7432
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
5025
ref
nil
96
ref
7432
remove
nil
cons
7433
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
7308
ref
43
ref
7433
ref
cons
nil
cons
7434
def
cons
nil
cons
cons
7435
def
76
ref
subst
7435
remove
107
ref
subst
51
ref
51
ref
518
ref
nil
7308
ref
43
ref
52
ref
7300
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
7300
ref
nil
cons
7436
def
cons
7437
def
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
539
ref
trans
7438
def
appThm
7439
def
7422
ref
refl
appThm
nil
96
ref
7422
remove
nil
cons
7440
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
7428
ref
refl
7441
def
nil
5056
ref
3829
ref
220
remove
cons
7442
def
219
ref
7429
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3831
ref
subst
7443
def
appThm
appThm
sym
nil
25
ref
7440
ref
cons
7444
def
43
ref
7428
ref
456
ref
188
ref
7429
remove
appTerm
39
ref
appTerm
appTerm
7430
remove
5026
ref
appTerm
appTerm
7445
def
appTerm
nil
cons
7446
def
cons
nil
cons
cons
nil
cons
cons
7447
def
76
ref
subst
7447
remove
107
ref
subst
nil
25
ref
7427
remove
nil
cons
7448
def
cons
7449
def
43
ref
7445
ref
nil
cons
7450
def
cons
nil
cons
7451
def
cons
nil
cons
cons
7452
def
76
ref
subst
7452
remove
107
ref
subst
nil
108
ref
7423
remove
nil
cons
cons
110
ref
7426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7453
def
122
ref
subst
7453
remove
139
ref
subst
7454
def
nil
108
ref
2896
remove
cons
110
ref
7417
remove
nil
cons
7455
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
nil
108
ref
7425
remove
nil
cons
7456
def
cons
110
ref
7420
remove
nil
cons
7457
def
cons
nil
cons
cons
nil
cons
cons
7458
def
139
ref
subst
7459
def
nil
7444
remove
7451
remove
cons
nil
cons
cons
135
ref
subst
51
ref
51
ref
205
ref
38
ref
nil
96
ref
7418
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
7419
ref
39
ref
appTerm
7460
def
betaConv
nil
25
ref
7457
remove
cons
43
ref
7460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
7419
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
absThm
appThm
1746
remove
trans
appThm
7461
def
7313
remove
appThm
nil
96
ref
7297
remove
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
7445
remove
refl
appThm
sym
141
ref
7414
ref
456
ref
188
ref
2991
ref
appTerm
7462
def
39
ref
appTerm
7463
def
appTerm
7464
def
3270
ref
2991
ref
appTerm
5026
ref
appTerm
7465
def
appTerm
7466
def
appTerm
7467
def
absTerm
7468
def
7295
ref
appTerm
7469
def
betaConv
nil
218
ref
7468
ref
nil
cons
cons
7470
def
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
7467
remove
nil
cons
7471
def
cons
nil
cons
nil
cons
cons
102
ref
subst
7414
ref
refl
7472
def
1255
ref
141
ref
52
ref
7463
ref
appTerm
150
ref
appTerm
7473
def
absTerm
7474
def
142
ref
appTerm
7475
def
betaConv
38
ref
200
ref
7474
ref
appTerm
7476
def
absTerm
7477
def
39
ref
appTerm
7478
def
betaConv
205
ref
38
ref
205
ref
141
ref
7473
remove
assume
sym
433
ref
7463
ref
appTerm
7479
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
200
ref
38
ref
200
ref
141
ref
7479
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
7480
def
nil
25
ref
200
ref
7477
ref
appTerm
nil
cons
cons
43
ref
7478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7477
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7476
remove
nil
cons
cons
43
ref
7475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7474
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
3004
ref
141
ref
52
ref
188
ref
3005
ref
appTerm
39
ref
appTerm
appTerm
150
ref
appTerm
absTerm
7481
def
142
ref
appTerm
7482
def
betaConv
38
ref
200
ref
7481
ref
appTerm
7483
def
absTerm
7484
def
39
ref
appTerm
7485
def
betaConv
205
ref
38
ref
205
ref
141
ref
77
ref
2397
ref
141
ref
7462
ref
3005
remove
appTerm
absTerm
7486
def
142
ref
appTerm
7487
def
betaConv
38
ref
200
ref
7486
ref
appTerm
7488
def
absTerm
7489
def
39
ref
appTerm
7490
def
betaConv
nil
200
ref
7489
ref
appTerm
7491
def
axiom
nil
25
ref
7491
remove
nil
cons
cons
43
ref
7490
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7489
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7488
remove
nil
cons
cons
43
ref
7487
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7486
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
3311
ref
appThm
appThm
2863
ref
appThm
absThm
appThm
absThm
appThm
7480
remove
eqMp
nil
25
ref
200
ref
7484
ref
appTerm
nil
cons
cons
43
ref
7485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7484
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7483
remove
nil
cons
cons
43
ref
7482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7481
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
appThm
sym
7416
ref
142
ref
appTerm
7492
def
betaConv
nil
25
ref
7455
remove
cons
43
ref
7492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
7416
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
nil
25
ref
7414
ref
7464
remove
7462
ref
142
ref
appTerm
7493
def
appTerm
7494
def
appTerm
7495
def
nil
cons
7496
def
cons
43
ref
7471
ref
cons
nil
cons
cons
nil
cons
cons
7497
def
135
ref
subst
proveHyp
7497
ref
76
ref
subst
7497
remove
107
ref
subst
nil
25
ref
5143
remove
cons
7498
def
43
ref
7466
ref
nil
cons
7499
def
cons
nil
cons
cons
nil
cons
cons
7500
def
76
ref
subst
7500
remove
107
ref
subst
nil
25
ref
7499
ref
cons
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
7466
remove
appTerm
7501
def
nil
cons
7502
def
cons
510
ref
cons
nil
cons
cons
7503
def
76
ref
subst
7503
remove
107
ref
subst
nil
25
ref
7494
remove
nil
cons
7504
def
cons
510
ref
cons
nil
cons
cons
7505
def
76
ref
subst
7505
remove
107
ref
subst
nil
25
ref
7493
ref
nil
cons
7506
def
cons
7507
def
510
ref
cons
nil
cons
cons
7508
def
76
ref
subst
7508
remove
107
ref
subst
nil
7507
remove
43
ref
7462
remove
2991
ref
appTerm
7509
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
nil
219
ref
3015
ref
cons
nil
cons
7510
def
nil
cons
cons
6856
ref
subst
eqMp
nil
25
ref
66
ref
7493
remove
appTerm
7509
remove
appTerm
nil
cons
cons
43
ref
3834
ref
2991
remove
appTerm
7511
def
nil
cons
7512
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6646
ref
3015
ref
cons
3829
remove
233
ref
cons
7513
def
7510
remove
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
3864
ref
6594
ref
appTerm
7514
def
appTerm
7515
def
appTerm
7516
def
419
ref
3864
remove
6649
ref
appTerm
7517
def
appTerm
7518
def
appTerm
nil
cons
cons
2906
ref
188
ref
6594
remove
appTerm
6649
remove
appTerm
7519
def
nil
cons
7520
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
7518
remove
nil
cons
7521
def
cons
2906
ref
7515
remove
nil
cons
7522
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
7514
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
7517
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
7519
remove
refl
appThm
trans
7516
remove
refl
nil
43
ref
7520
remove
cons
7523
def
25
ref
7521
ref
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
appThm
nil
306
ref
7521
remove
cons
7523
remove
25
ref
7522
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
trans
345
ref
6266
ref
subst
eqMp
eqMp
7524
def
subst
eqMp
nil
25
ref
7512
remove
cons
43
ref
66
ref
7299
remove
5026
ref
appTerm
7525
def
appTerm
5059
ref
appTerm
7526
def
nil
cons
cons
nil
cons
7527
def
cons
nil
cons
cons
107
ref
subst
proveHyp
5156
ref
nil
25
ref
7525
remove
nil
cons
cons
5145
ref
cons
nil
cons
cons
107
ref
subst
proveHyp
6995
remove
eqMp
7528
def
eqMp
nil
25
ref
66
ref
7511
remove
appTerm
7526
ref
appTerm
nil
cons
cons
43
ref
7465
ref
nil
cons
7529
def
cons
nil
cons
7530
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11402"
3133
ref
var
7531
def
5055
ref
cons
"_11400"
3133
ref
var
7532
def
5055
ref
cons
"_11401"
28
ref
var
7533
def
3015
remove
cons
"_11399"
28
ref
var
7534
def
233
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
188
ref
7534
remove
varTerm
7535
def
appTerm
7533
remove
varTerm
7536
def
appTerm
7537
def
appTerm
7538
def
appTerm
7539
def
456
ref
419
ref
3152
ref
7532
remove
varTerm
7540
def
appTerm
7531
remove
varTerm
7541
def
appTerm
7542
def
appTerm
7543
def
appTerm
7544
def
419
ref
3270
ref
7535
remove
appTerm
7540
remove
appTerm
7545
def
appTerm
7546
def
appTerm
7547
def
appTerm
nil
cons
cons
2906
ref
3270
ref
7536
remove
appTerm
7541
remove
appTerm
7548
def
nil
cons
7549
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
7547
remove
nil
cons
7550
def
cons
2906
ref
7538
remove
nil
cons
7551
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
7537
ref
nil
cons
7552
def
cons
nil
cons
7553
def
nil
cons
cons
2974
ref
subst
appThm
nil
2905
ref
7546
ref
nil
cons
7554
def
cons
2906
ref
7543
remove
nil
cons
7555
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
7542
ref
nil
cons
7556
def
cons
nil
cons
7557
def
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
7545
ref
nil
cons
cons
nil
cons
7558
def
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
trans
appThm
7548
ref
refl
appThm
trans
7539
remove
refl
nil
306
ref
7554
remove
cons
43
ref
7549
ref
cons
7559
def
25
ref
7555
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
appThm
nil
306
ref
7550
remove
cons
7559
remove
25
ref
7551
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
trans
nil
2905
ref
7544
remove
456
ref
7548
ref
appTerm
7546
remove
appTerm
7560
def
appTerm
nil
cons
7561
def
cons
7553
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
7552
ref
cons
43
ref
7561
ref
cons
nil
cons
cons
nil
cons
cons
7562
def
76
ref
subst
7562
remove
107
ref
subst
nil
2905
ref
7560
remove
nil
cons
7563
def
cons
7557
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
7556
ref
cons
43
ref
7563
ref
cons
nil
cons
7564
def
cons
nil
cons
cons
7565
def
76
ref
subst
7565
remove
107
ref
subst
5155
ref
7537
remove
assume
appThm
7542
remove
assume
appThm
nil
25
ref
52
ref
7545
remove
appTerm
7548
remove
appTerm
nil
cons
cons
7564
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
ref
7549
remove
cons
7558
remove
cons
nil
cons
cons
6189
ref
subst
eqMp
eqMp
nil
108
ref
7556
remove
cons
110
ref
7563
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7552
remove
cons
110
ref
7561
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
7529
remove
cons
7566
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
7566
remove
nil
cons
nil
cons
cons
2642
ref
subst
nil
25
ref
7463
ref
nil
cons
7567
def
cons
7568
def
7530
remove
cons
nil
cons
cons
2563
ref
subst
7501
remove
assume
eqMp
7569
def
nil
108
ref
419
ref
7463
remove
appTerm
nil
cons
cons
110
ref
419
ref
7465
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
7570
def
139
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
108
ref
7506
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
7568
remove
nil
cons
nil
cons
cons
2642
ref
subst
7569
remove
7570
remove
122
ref
subst
proveHyp
eqMp
nil
108
ref
7567
remove
cons
110
ref
7506
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
7504
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
419
ref
5059
remove
appTerm
7571
def
nil
cons
7572
def
cons
510
ref
cons
nil
cons
cons
7573
def
76
ref
subst
7573
remove
107
ref
subst
nil
7498
ref
510
ref
cons
nil
cons
cons
135
ref
subst
nil
7498
ref
nil
cons
nil
cons
cons
2642
ref
subst
7571
remove
assume
eqMp
eqMp
eqMp
nil
108
ref
7572
remove
cons
7574
def
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
7575
def
nil
7498
ref
43
ref
7504
ref
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
7495
remove
assume
eqMp
nil
7574
ref
110
ref
7504
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7502
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6980
ref
110
ref
7499
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7496
remove
cons
110
ref
7471
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
7468
remove
appTerm
nil
cons
cons
43
ref
7469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7470
remove
219
ref
7295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7448
remove
cons
7576
def
110
ref
7450
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7440
remove
cons
110
ref
7446
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7307
ref
cons
7577
def
110
ref
7433
ref
cons
nil
cons
7578
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
7436
ref
cons
7579
def
7434
remove
cons
nil
cons
cons
7580
def
76
ref
subst
7580
remove
107
ref
subst
51
ref
51
ref
518
ref
3152
ref
refl
7581
def
7300
ref
assume
7582
def
appThm
3780
ref
refl
appThm
7314
remove
trans
appThm
590
ref
trans
appThm
7583
def
51
ref
205
ref
38
ref
51
ref
6591
ref
refl
7582
ref
appThm
appThm
205
ref
141
ref
51
ref
3785
ref
refl
7584
def
7582
ref
appThm
appThm
7303
ref
refl
appThm
absThm
appThm
7585
def
appThm
absThm
appThm
7586
def
appThm
7587
def
5155
ref
7294
ref
refl
7582
ref
appThm
nil
188
ref
7324
remove
appTerm
1264
ref
appTerm
axiom
trans
7588
def
appThm
7582
ref
appThm
appThm
appThm
nil
96
ref
7328
ref
3270
ref
1264
ref
appTerm
3780
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
appThm
51
ref
153
ref
7408
ref
refl
7585
remove
appThm
appThm
153
ref
205
ref
392
ref
51
ref
7409
ref
refl
7582
ref
appThm
appThm
7410
ref
refl
appThm
absThm
appThm
appThm
7586
remove
appThm
appThm
appThm
7589
def
7443
remove
1255
ref
2397
ref
2990
ref
refl
7588
remove
appThm
38
ref
188
ref
2990
remove
1264
ref
appTerm
appTerm
39
ref
appTerm
absTerm
7590
def
39
ref
appTerm
7591
def
betaConv
nil
200
ref
7590
ref
appTerm
7592
def
axiom
nil
25
ref
7592
remove
nil
cons
cons
43
ref
7591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7590
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
trans
7593
def
appThm
3311
ref
appThm
nil
221
ref
nil
cons
cons
2400
remove
subst
7594
def
trans
appThm
5155
ref
7593
remove
appThm
7582
ref
appThm
appThm
nil
96
ref
7322
remove
cons
nil
cons
nil
cons
cons
595
remove
subst
7595
def
trans
trans
appThm
nil
96
ref
66
ref
7408
remove
7326
remove
appTerm
appTerm
66
ref
200
ref
392
remove
50
ref
7409
remove
3780
ref
appTerm
appTerm
7410
remove
appTerm
absTerm
appTerm
appTerm
7327
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2062
ref
subst
7596
def
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
nil
7437
ref
7578
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
ref
7300
remove
appTerm
7597
def
betaConv
686
ref
nil
687
ref
43
ref
7597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
ref
20
ref
7436
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
7598
def
nil
7437
ref
110
ref
7307
remove
cons
7599
def
612
ref
7433
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
25
ref
66
ref
50
ref
419
ref
3152
ref
3780
ref
appTerm
3780
ref
appTerm
appTerm
appTerm
7600
def
50
ref
200
ref
38
ref
200
ref
141
ref
7317
remove
7319
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
7601
def
7325
remove
appTerm
appTerm
appTerm
200
ref
219
ref
3354
ref
3264
ref
50
ref
7329
ref
50
ref
200
ref
38
ref
200
ref
141
ref
7332
remove
7334
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
7602
def
7340
remove
appTerm
appTerm
appTerm
7341
ref
50
ref
200
ref
38
ref
200
ref
141
ref
7344
remove
7346
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
7603
def
3270
ref
7294
remove
3798
ref
appTerm
appTerm
3798
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
3354
ref
5025
ref
6550
ref
7310
ref
50
ref
200
ref
38
ref
200
ref
141
ref
6593
remove
7415
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
7604
def
7296
ref
appTerm
appTerm
7605
def
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
5025
ref
7605
remove
absTerm
7606
def
3780
ref
appTerm
betaConv
appThm
205
ref
219
ref
3877
ref
3264
ref
51
ref
7606
ref
3348
ref
appTerm
betaConv
appThm
7606
ref
3798
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3877
ref
5025
ref
6890
ref
7606
ref
5026
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
3879
ref
7606
remove
nil
cons
cons
nil
cons
nil
cons
cons
3880
ref
subst
eqMp
eqMp
eqMp
nil
3354
ref
5025
ref
50
ref
66
ref
6549
remove
appTerm
7305
remove
appTerm
appTerm
7607
def
7296
remove
appTerm
absTerm
appTerm
thm
3877
ref
5025
ref
nil
306
ref
3270
ref
5027
ref
appTerm
5026
ref
appTerm
7608
def
nil
cons
7609
def
cons
7610
def
7306
remove
cons
nil
cons
cons
338
ref
subst
6890
ref
nil
7610
remove
7309
remove
cons
nil
cons
cons
338
remove
subst
7311
remove
7312
remove
7608
ref
refl
7611
def
appThm
appThm
trans
appThm
trans
absThm
appThm
sym
153
ref
7315
remove
7323
remove
3270
ref
3781
remove
appTerm
3780
ref
appTerm
7612
def
refl
appThm
appThm
nil
96
ref
7328
ref
7612
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
appThm
205
ref
219
ref
3877
ref
3264
ref
51
ref
7330
remove
7338
remove
3270
ref
3788
ref
appTerm
3348
ref
appTerm
7613
def
refl
appThm
appThm
appThm
7342
remove
7370
remove
5155
ref
3826
remove
appThm
7377
remove
appThm
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
96
ref
200
ref
219
ref
3354
ref
3264
ref
50
ref
7329
ref
7380
remove
7613
ref
appTerm
appTerm
appTerm
7614
def
7341
ref
7383
remove
3270
ref
192
remove
734
ref
appTerm
3788
ref
appTerm
appTerm
3798
ref
appTerm
7615
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
205
ref
219
ref
3877
ref
3264
ref
7614
ref
refl
7385
remove
7406
remove
7615
ref
refl
appThm
appThm
nil
96
ref
7407
remove
7615
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
absThm
appThm
absThm
appThm
sym
nil
218
ref
38
ref
3354
ref
3264
ref
7614
remove
7411
remove
3270
ref
1544
ref
3788
remove
appTerm
appTerm
7412
remove
appTerm
appTerm
appTerm
absTerm
appTerm
7616
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7616
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3358
ref
5025
ref
50
ref
7310
ref
7421
remove
7608
ref
appTerm
7617
def
appTerm
appTerm
7428
ref
3270
ref
1544
ref
5027
ref
appTerm
7618
def
appTerm
7619
def
7431
remove
appTerm
appTerm
appTerm
7620
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
5025
ref
nil
96
ref
7620
remove
nil
cons
7621
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
7308
remove
43
ref
7621
ref
cons
nil
cons
7622
def
cons
nil
cons
cons
7623
def
76
ref
subst
7623
remove
107
ref
subst
51
ref
7439
remove
7617
ref
refl
appThm
nil
96
ref
7617
remove
nil
cons
7624
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
7441
remove
nil
5056
remove
7442
remove
219
ref
7618
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3831
remove
subst
7625
def
appThm
appThm
sym
nil
25
ref
7624
ref
cons
7626
def
43
ref
7428
remove
456
ref
188
ref
7618
remove
appTerm
39
ref
appTerm
appTerm
7619
remove
5026
ref
appTerm
appTerm
7627
def
appTerm
nil
cons
7628
def
cons
nil
cons
cons
nil
cons
cons
7629
def
76
ref
subst
7629
remove
107
ref
subst
nil
7449
remove
43
ref
7627
ref
nil
cons
7630
def
cons
nil
cons
7631
def
cons
nil
cons
cons
7632
def
76
ref
subst
7632
remove
107
ref
subst
7454
remove
7458
remove
122
ref
subst
7459
remove
nil
7626
remove
7631
remove
cons
nil
cons
cons
135
ref
subst
51
ref
7461
remove
7611
remove
appThm
nil
96
ref
7609
remove
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
7627
remove
refl
appThm
sym
141
ref
7414
ref
456
ref
188
ref
1545
ref
appTerm
7633
def
39
ref
appTerm
7634
def
appTerm
7635
def
3270
ref
1545
ref
appTerm
5026
ref
appTerm
7636
def
appTerm
7637
def
appTerm
7638
def
absTerm
7639
def
5027
remove
appTerm
7640
def
betaConv
nil
218
ref
7639
ref
nil
cons
cons
7641
def
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
7638
remove
nil
cons
7642
def
cons
nil
cons
nil
cons
cons
102
ref
subst
7472
remove
1255
ref
3004
remove
141
ref
52
ref
188
ref
225
ref
appTerm
142
ref
appTerm
appTerm
150
ref
appTerm
absTerm
7643
def
142
ref
appTerm
7644
def
betaConv
38
ref
200
ref
7643
ref
appTerm
7645
def
absTerm
7646
def
39
ref
appTerm
7647
def
betaConv
205
ref
38
ref
205
ref
141
ref
77
ref
2397
ref
141
ref
7633
ref
225
remove
appTerm
absTerm
7648
def
142
ref
appTerm
7649
def
betaConv
38
ref
200
ref
7648
ref
appTerm
7650
def
absTerm
7651
def
39
ref
appTerm
7652
def
betaConv
nil
200
ref
7651
ref
appTerm
7653
def
axiom
nil
25
ref
7653
remove
nil
cons
cons
43
ref
7652
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7651
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7650
remove
nil
cons
cons
43
ref
7649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7648
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
279
remove
appThm
appThm
2863
remove
appThm
absThm
appThm
absThm
appThm
205
ref
38
ref
205
ref
141
ref
52
ref
7633
ref
142
ref
appTerm
7654
def
appTerm
150
remove
appTerm
7655
def
assume
sym
433
remove
7654
ref
appTerm
7656
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
200
ref
38
ref
200
ref
141
ref
7656
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
7657
def
eqMp
nil
25
ref
200
ref
7646
ref
appTerm
nil
cons
cons
43
ref
7647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7646
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7645
remove
nil
cons
cons
43
ref
7644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7643
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
appThm
141
ref
7655
remove
absTerm
7658
def
142
ref
appTerm
7659
def
betaConv
38
ref
200
ref
7658
ref
appTerm
7660
def
absTerm
7661
def
39
ref
appTerm
7662
def
betaConv
7657
remove
nil
25
ref
200
ref
7661
ref
appTerm
nil
cons
cons
43
ref
7662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7661
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7660
remove
nil
cons
cons
43
ref
7659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7658
remove
nil
cons
cons
234
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
appThm
appThm
sym
627
remove
7424
ref
393
remove
appTerm
7663
def
betaConv
nil
25
ref
7456
remove
cons
43
ref
7663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
7424
remove
nil
cons
cons
630
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
7414
remove
7635
remove
7654
ref
appTerm
7664
def
appTerm
7665
def
nil
cons
7666
def
cons
43
ref
7642
ref
cons
nil
cons
cons
nil
cons
cons
7667
def
135
ref
subst
proveHyp
7667
ref
76
ref
subst
7667
remove
107
ref
subst
nil
7498
ref
43
ref
7637
ref
nil
cons
7668
def
cons
nil
cons
cons
nil
cons
cons
7669
def
76
ref
subst
7669
remove
107
ref
subst
nil
25
ref
7668
ref
cons
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
7637
remove
appTerm
7670
def
nil
cons
7671
def
cons
510
ref
cons
nil
cons
cons
7672
def
76
ref
subst
7672
remove
107
ref
subst
nil
25
ref
7664
remove
nil
cons
7673
def
cons
510
ref
cons
nil
cons
cons
7674
def
76
ref
subst
7674
remove
107
ref
subst
nil
25
ref
7654
ref
nil
cons
7675
def
cons
7676
def
510
ref
cons
nil
cons
cons
7677
def
76
ref
subst
7677
remove
107
ref
subst
nil
7676
remove
43
ref
7633
remove
1545
ref
appTerm
7678
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
nil
1722
ref
nil
cons
cons
6856
remove
subst
eqMp
nil
25
ref
66
ref
7654
remove
appTerm
7678
remove
appTerm
nil
cons
cons
43
ref
3834
remove
1545
remove
appTerm
7679
def
nil
cons
7680
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
6646
remove
1721
ref
cons
7513
remove
1722
remove
cons
cons
nil
cons
cons
7524
remove
subst
eqMp
nil
25
ref
7680
remove
cons
7527
remove
cons
nil
cons
cons
107
ref
subst
proveHyp
7528
remove
eqMp
nil
25
ref
66
ref
7679
remove
appTerm
7526
remove
appTerm
nil
cons
cons
43
ref
7636
ref
nil
cons
7681
def
cons
nil
cons
7682
def
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11373"
3133
ref
var
7683
def
5055
ref
cons
"_11371"
3133
remove
var
7684
def
5055
remove
cons
"_11372"
28
ref
var
7685
def
1721
remove
cons
"_11370"
28
ref
var
7686
def
233
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
188
ref
7686
remove
varTerm
7687
def
appTerm
7685
remove
varTerm
7688
def
appTerm
7689
def
appTerm
7690
def
appTerm
7691
def
456
ref
419
ref
3152
ref
7684
remove
varTerm
7692
def
appTerm
7683
remove
varTerm
7693
def
appTerm
7694
def
appTerm
7695
def
appTerm
7696
def
419
ref
3270
ref
7687
remove
appTerm
7692
remove
appTerm
7697
def
appTerm
7698
def
appTerm
7699
def
appTerm
nil
cons
cons
2906
ref
3270
ref
7688
remove
appTerm
7693
remove
appTerm
7700
def
nil
cons
7701
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
7699
remove
nil
cons
7702
def
cons
2906
ref
7690
remove
nil
cons
7703
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
7689
ref
nil
cons
7704
def
cons
nil
cons
7705
def
nil
cons
cons
2974
ref
subst
appThm
nil
2905
ref
7698
ref
nil
cons
7706
def
cons
2906
ref
7695
remove
nil
cons
7707
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
7694
ref
nil
cons
7708
def
cons
nil
cons
7709
def
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
7697
ref
nil
cons
cons
nil
cons
7710
def
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
trans
appThm
7700
ref
refl
appThm
trans
7691
remove
refl
nil
306
ref
7706
remove
cons
43
ref
7701
ref
cons
7711
def
25
ref
7707
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
appThm
nil
306
ref
7702
remove
cons
7711
remove
25
ref
7703
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
trans
nil
2905
ref
7696
remove
456
ref
7700
ref
appTerm
7698
remove
appTerm
7712
def
appTerm
nil
cons
7713
def
cons
7705
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
7704
ref
cons
43
ref
7713
ref
cons
nil
cons
cons
nil
cons
cons
7714
def
76
ref
subst
7714
remove
107
ref
subst
nil
2905
ref
7712
remove
nil
cons
7715
def
cons
7709
remove
cons
nil
cons
cons
6164
ref
subst
nil
25
ref
7708
ref
cons
43
ref
7715
ref
cons
nil
cons
7716
def
cons
nil
cons
cons
7717
def
76
ref
subst
7717
remove
107
ref
subst
5155
ref
7689
remove
assume
appThm
7694
remove
assume
appThm
nil
25
ref
52
ref
7697
remove
appTerm
7700
remove
appTerm
nil
cons
cons
7716
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
ref
7701
remove
cons
7710
remove
cons
nil
cons
cons
6189
ref
subst
eqMp
eqMp
nil
108
ref
7708
remove
cons
110
ref
7715
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7704
remove
cons
110
ref
7713
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
7681
remove
cons
7718
def
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
7718
remove
nil
cons
nil
cons
cons
2642
ref
subst
nil
25
ref
7634
ref
nil
cons
7719
def
cons
7720
def
7682
remove
cons
nil
cons
cons
2563
remove
subst
7670
remove
assume
eqMp
7721
def
nil
108
ref
419
ref
7634
remove
appTerm
nil
cons
cons
110
ref
419
ref
7636
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
7722
def
139
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
108
ref
7675
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
7720
remove
nil
cons
nil
cons
cons
2642
ref
subst
7721
remove
7722
remove
122
ref
subst
proveHyp
eqMp
nil
108
ref
7719
remove
cons
110
ref
7675
remove
cons
2660
ref
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
7673
ref
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
7575
remove
nil
7498
ref
43
ref
7673
ref
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
7665
remove
assume
eqMp
nil
7574
remove
110
ref
7673
remove
cons
2660
remove
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7671
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6980
remove
110
ref
7668
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7666
remove
cons
110
ref
7642
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
7639
remove
appTerm
nil
cons
cons
43
ref
7640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7641
remove
219
ref
5052
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
7576
remove
110
ref
7630
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7624
remove
cons
110
ref
7628
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7577
ref
110
ref
7621
ref
cons
nil
cons
7723
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
7579
remove
7622
remove
cons
nil
cons
cons
7724
def
76
ref
subst
7724
remove
107
ref
subst
51
ref
7583
remove
7587
remove
5155
ref
3779
ref
refl
7725
def
7582
ref
appThm
3782
ref
trans
7726
def
appThm
7582
ref
appThm
appThm
appThm
nil
96
ref
7328
remove
3270
ref
193
ref
appTerm
3780
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
trans
appThm
7589
remove
7625
remove
1255
ref
2397
ref
1544
ref
refl
7726
remove
appThm
38
ref
188
ref
1544
remove
193
ref
appTerm
appTerm
39
ref
appTerm
absTerm
7727
def
39
ref
appTerm
7728
def
betaConv
nil
200
ref
7727
ref
appTerm
7729
def
axiom
nil
25
ref
7729
remove
nil
cons
cons
43
ref
7728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7727
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
trans
7730
def
appThm
3311
ref
appThm
7594
remove
trans
appThm
5155
remove
7730
remove
appThm
7582
remove
appThm
appThm
7595
remove
trans
trans
appThm
7596
remove
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
nil
7437
ref
7723
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
7598
remove
nil
7437
remove
7599
remove
612
ref
7621
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
25
ref
66
ref
7600
remove
7601
remove
7612
remove
appTerm
appTerm
appTerm
200
ref
219
ref
3354
ref
3264
ref
50
ref
7329
remove
7602
remove
7613
remove
appTerm
appTerm
appTerm
7341
remove
7603
remove
3270
ref
3799
remove
appTerm
3798
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
43
ref
3354
ref
5025
ref
6550
remove
7310
remove
7604
remove
7608
ref
appTerm
appTerm
7731
def
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
153
ref
5025
ref
7731
remove
absTerm
7732
def
3780
ref
appTerm
betaConv
appThm
205
ref
219
ref
3877
ref
3264
ref
51
ref
7732
ref
3348
remove
appTerm
betaConv
appThm
7732
ref
3798
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3877
ref
5025
ref
6890
remove
7732
ref
5026
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
3879
ref
7732
remove
nil
cons
cons
nil
cons
nil
cons
cons
3880
remove
subst
eqMp
eqMp
eqMp
7733
def
nil
3354
ref
5025
ref
7607
remove
7608
remove
appTerm
absTerm
7734
def
appTerm
7735
def
thm
nil
1454
ref
1417
ref
200
ref
38
ref
50
ref
2422
remove
1421
ref
appTerm
appTerm
238
ref
1835
ref
2318
remove
771
remove
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
1669
ref
1418
ref
1836
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
7736
def
appTerm
7737
def
appTerm
absTerm
7738
def
appTerm
7739
def
appTerm
7740
def
absTerm
7741
def
appTerm
7742
def
absTerm
7743
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7742
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7741
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7740
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
306
ref
7739
ref
nil
cons
7744
def
cons
3407
remove
25
ref
772
remove
nil
cons
7745
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
25
ref
313
ref
nil
cons
7746
def
cons
43
ref
127
remove
623
ref
appTerm
7747
def
nil
cons
7748
def
cons
nil
cons
cons
nil
cons
cons
7749
def
140
ref
subst
7749
ref
76
ref
subst
7749
remove
107
ref
subst
nil
60
remove
43
ref
623
remove
nil
cons
7750
def
cons
nil
cons
cons
nil
cons
cons
7751
def
76
ref
subst
7751
ref
107
ref
subst
nil
2261
remove
43
ref
336
ref
cons
nil
cons
7752
def
cons
nil
cons
cons
7753
def
76
ref
subst
7753
ref
107
ref
subst
106
remove
nil
25
ref
68
remove
nil
cons
7754
def
cons
7752
remove
cons
nil
cons
cons
7755
def
135
ref
subst
313
ref
assume
eqMp
proveHyp
eqMp
nil
132
remove
110
ref
336
remove
cons
nil
cons
7756
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
109
remove
110
ref
7750
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7746
ref
cons
110
ref
7748
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
313
ref
appTerm
7747
ref
appTerm
nil
cons
cons
43
ref
50
ref
7747
ref
appTerm
313
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
7748
ref
cons
43
ref
7746
ref
cons
nil
cons
cons
nil
cons
cons
7757
def
76
ref
subst
7757
remove
107
ref
subst
7755
ref
76
ref
subst
7755
remove
107
ref
subst
95
remove
133
remove
7753
remove
135
ref
subst
7751
remove
135
ref
subst
7747
remove
assume
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
7754
remove
cons
7756
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
7748
remove
cons
110
ref
7746
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
sym
nil
3403
ref
43
ref
2784
remove
7739
remove
appTerm
nil
cons
7758
def
cons
nil
cons
cons
nil
cons
cons
7759
def
76
ref
subst
7759
remove
107
ref
subst
nil
2767
ref
7744
remove
cons
2766
ref
7745
remove
cons
nil
cons
cons
nil
cons
cons
5216
remove
subst
sym
51
ref
77
ref
518
ref
1463
ref
1835
ref
7738
ref
1836
ref
appTerm
betaConv
7760
def
absThm
appThm
appThm
appThm
204
ref
1835
ref
518
ref
7760
remove
appThm
absThm
appThm
appThm
nil
175
ref
7738
remove
nil
cons
cons
nil
cons
nil
cons
cons
3046
ref
subst
eqMp
204
ref
1835
ref
nil
43
ref
7737
remove
nil
cons
cons
25
ref
2317
ref
nil
cons
7761
def
cons
7762
def
nil
cons
cons
nil
cons
cons
nil
2492
ref
43
ref
2564
remove
63
remove
2493
ref
appTerm
appTerm
nil
cons
7763
def
cons
nil
cons
7764
def
cons
nil
cons
cons
7765
def
76
ref
subst
7765
remove
107
ref
subst
52
ref
"_12542"
3
ref
var
7766
def
52
ref
419
ref
66
ref
7766
remove
varTerm
7767
def
appTerm
55
ref
appTerm
appTerm
appTerm
50
ref
7767
remove
appTerm
2493
ref
appTerm
appTerm
absTerm
7768
def
53
ref
appTerm
7769
def
appTerm
refl
7770
def
7768
ref
15
ref
appTerm
betaConv
appThm
77
ref
7769
remove
betaConv
appThm
7771
def
2576
remove
529
ref
2493
ref
appTerm
appTerm
refl
appThm
trans
7768
remove
refl
7772
def
2509
ref
appThm
eqMp
sym
2579
remove
2516
ref
600
ref
subst
appThm
2386
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
ref
110
ref
7763
ref
cons
nil
cons
7773
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
ref
7764
remove
cons
nil
cons
cons
7774
def
76
ref
subst
7774
remove
107
ref
subst
7770
remove
"_12540"
3
ref
var
7775
def
52
ref
419
ref
66
ref
7775
remove
varTerm
7776
def
appTerm
55
ref
appTerm
appTerm
appTerm
50
ref
7776
remove
appTerm
2493
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
7771
remove
2587
remove
497
ref
2493
remove
appTerm
appTerm
refl
appThm
trans
7772
remove
2533
ref
appThm
eqMp
sym
2589
remove
2516
remove
501
ref
subst
appThm
2538
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
7773
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
ref
nil
2539
ref
2542
ref
612
ref
7763
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
subst
50
ref
2317
remove
appTerm
7777
def
refl
518
ref
nil
38
ref
7736
ref
nil
cons
cons
nil
cons
nil
cons
cons
777
ref
subst
appThm
nil
96
ref
30
ref
7736
remove
appTerm
7778
def
nil
cons
7779
def
cons
nil
cons
nil
cons
cons
7780
def
2448
ref
subst
trans
appThm
trans
absThm
appThm
trans
appThm
518
ref
777
remove
appThm
2602
remove
trans
appThm
sym
nil
25
ref
166
ref
1835
ref
7777
remove
7778
ref
appTerm
absTerm
7781
def
appTerm
nil
cons
7782
def
cons
7783
def
46
ref
cons
nil
cons
cons
7784
def
76
ref
subst
7784
remove
107
ref
subst
368
ref
refl
2397
remove
7725
ref
3301
ref
3138
ref
1462
ref
292
ref
153
ref
6605
remove
292
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
3484
ref
appTerm
absTerm
appTerm
absTerm
appTerm
7785
def
absTerm
7786
def
294
ref
appTerm
betaConv
7787
def
appThm
appThm
7788
def
292
ref
1798
ref
absTerm
7789
def
294
ref
appTerm
betaConv
7790
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3465
ref
1202
ref
1463
ref
1835
ref
66
ref
1203
ref
1836
ref
appTerm
appTerm
7791
def
refl
7792
def
1462
ref
292
ref
153
ref
7790
remove
appThm
2316
ref
refl
7787
remove
appThm
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
"f"
1
ref
285
ref
31
remove
cons
opType
7793
def
var
7794
def
7786
ref
nil
cons
cons
7795
def
1530
ref
7789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4033
remove
5117
ref
1316
ref
5115
remove
1130
ref
1
ref
1313
ref
5116
ref
cons
opType
constTerm
"v"
1293
ref
var
7796
def
238
ref
35
ref
66
ref
1316
ref
7796
remove
varTerm
appTerm
5120
ref
appTerm
appTerm
241
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
1434
ref
1435
ref
1363
ref
"a"
285
ref
var
7797
def
66
ref
1437
remove
7797
ref
varTerm
7798
def
appTerm
appTerm
238
ref
35
ref
4349
ref
1365
ref
7798
ref
appTerm
5120
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
7799
def
5118
ref
appTerm
7800
def
betaConv
175
ref
1976
ref
7799
ref
appTerm
7801
def
absTerm
7802
def
177
ref
appTerm
7803
def
betaConv
nil
354
ref
7802
ref
appTerm
7804
def
axiom
nil
25
ref
7804
remove
nil
cons
cons
43
ref
7803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
7802
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7801
remove
nil
cons
cons
43
ref
7800
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2014
ref
2013
remove
7799
remove
nil
cons
cons
5127
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
appThm
sym
nil
141
ref
1201
ref
1202
ref
238
ref
1835
ref
7791
remove
1363
ref
292
ref
66
ref
1798
ref
appTerm
7805
def
2316
remove
7785
ref
appTerm
appTerm
absTerm
appTerm
7806
def
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1527
ref
subst
204
ref
35
ref
1072
ref
refl
7807
def
77
ref
3719
ref
3465
ref
1202
ref
1463
ref
1835
ref
7792
remove
1835
ref
7806
remove
absTerm
7808
def
1836
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
7808
ref
36
ref
appTerm
betaConv
appThm
nil
175
ref
7808
remove
nil
cons
cons
nil
cons
nil
cons
cons
1214
ref
subst
eqMp
1462
ref
292
ref
7805
ref
refl
7809
def
77
ref
3719
ref
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
3485
remove
36
ref
appTerm
betaConv
7810
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
7810
remove
appThm
nil
3523
remove
cons
1214
ref
subst
eqMp
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
167
ref
35
ref
1072
ref
1363
ref
292
ref
7805
ref
3484
ref
appTerm
absTerm
appTerm
appTerm
7811
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
7811
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
7807
remove
77
ref
1462
ref
292
ref
7809
remove
292
ref
3484
remove
absTerm
7812
def
294
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
1463
ref
443
ref
3534
ref
7812
ref
1481
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1530
ref
7812
remove
nil
cons
cons
nil
cons
nil
cons
cons
38
ref
52
ref
1363
ref
292
ref
7805
remove
3278
remove
appTerm
absTerm
appTerm
appTerm
238
ref
35
ref
1440
ref
3279
remove
appTerm
absTerm
appTerm
appTerm
absTerm
7813
def
39
ref
appTerm
7814
def
betaConv
1417
ref
200
ref
7813
ref
appTerm
7815
def
absTerm
7816
def
1418
ref
appTerm
7817
def
betaConv
1530
ref
1430
ref
7816
ref
appTerm
7818
def
absTerm
7819
def
3277
remove
appTerm
7820
def
betaConv
nil
3288
remove
7819
ref
appTerm
7821
def
axiom
nil
25
ref
7821
remove
nil
cons
cons
43
ref
7820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3290
remove
3291
remove
7819
remove
nil
cons
cons
3293
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7818
remove
nil
cons
cons
43
ref
7817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
7816
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7815
remove
nil
cons
cons
43
ref
7814
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7813
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
7822
def
subst
eqMp
appThm
sym
nil
1067
remove
43
ref
1072
remove
238
ref
443
ref
1703
ref
1440
ref
1669
ref
1481
ref
appTerm
7823
def
appTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
7824
def
cons
nil
cons
7825
def
cons
nil
cons
cons
7826
def
76
ref
subst
7826
remove
107
ref
subst
77
ref
1075
ref
appThm
1463
ref
443
ref
3534
ref
153
ref
1075
remove
appThm
7823
ref
refl
7827
def
appThm
nil
96
ref
7823
ref
nil
cons
cons
nil
cons
nil
cons
cons
7828
def
1468
ref
subst
trans
appThm
2119
remove
1473
ref
subst
trans
absThm
appThm
1469
remove
trans
appThm
2562
ref
trans
sym
94
ref
eqMp
eqMp
nil
1079
remove
110
ref
7824
ref
cons
nil
cons
7829
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
1081
ref
7825
remove
cons
nil
cons
cons
7830
def
76
ref
subst
7830
remove
107
ref
subst
1093
remove
1463
ref
443
ref
3534
remove
1922
ref
7827
remove
appThm
7828
remove
186
ref
subst
trans
appThm
absThm
appThm
appThm
nil
96
ref
238
ref
443
ref
1703
ref
7823
remove
appTerm
absTerm
7831
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1099
ref
subst
trans
sym
7831
ref
36
ref
appTerm
betaConv
sym
1922
ref
1675
ref
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
7831
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
nil
1074
ref
7829
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
1103
remove
nil
1074
ref
1104
remove
612
ref
7824
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
52
ref
"_12544"
28
ref
var
7832
def
30
ref
7832
remove
varTerm
appTerm
absTerm
7833
def
39
ref
appTerm
7834
def
appTerm
refl
7833
remove
3779
ref
3137
remove
3138
ref
1363
ref
292
ref
66
ref
3139
remove
7785
ref
appTerm
appTerm
1798
ref
appTerm
absTerm
appTerm
absTerm
appTerm
7835
def
appTerm
7836
def
appTerm
betaConv
appThm
77
ref
7834
remove
betaConv
appThm
30
ref
7836
ref
appTerm
refl
appThm
trans
3858
ref
368
remove
7836
remove
appTerm
assume
appThm
eqMp
sym
nil
3264
ref
7835
ref
nil
cons
cons
nil
cons
nil
cons
cons
3932
remove
subst
153
ref
3149
ref
7581
remove
3301
remove
3138
remove
1462
ref
292
ref
7788
remove
1798
remove
refl
appThm
absThm
appThm
absThm
appThm
appThm
1400
ref
1
ref
7793
remove
1
ref
1293
ref
3136
remove
cons
opType
nil
cons
cons
opType
constTerm
7837
def
7786
ref
appTerm
1420
ref
appTerm
7838
def
refl
appThm
nil
7795
ref
3973
remove
cons
nil
cons
cons
1350
remove
3254
remove
cons
23
ref
cons
7839
def
38
ref
1316
ref
1434
remove
1435
remove
238
ref
35
ref
6616
remove
434
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1420
ref
appTerm
absTerm
7840
def
39
ref
appTerm
7841
def
betaConv
1417
ref
200
ref
7840
ref
appTerm
7842
def
absTerm
7843
def
1418
ref
appTerm
7844
def
betaConv
nil
1430
ref
7843
ref
appTerm
7845
def
axiom
nil
25
ref
7845
remove
nil
cons
cons
43
ref
7844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
7843
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7842
remove
nil
cons
cons
43
ref
7841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
7840
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
7846
def
appThm
nil
3403
ref
43
ref
52
ref
3135
ref
7838
ref
appTerm
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
3972
remove
7795
remove
nil
cons
cons
7847
def
nil
cons
cons
7839
ref
5111
ref
subst
7848
def
subst
eqMp
trans
appThm
205
ref
141
ref
nil
25
ref
3785
ref
7838
remove
appTerm
7849
def
nil
cons
7850
def
cons
43
ref
52
ref
143
ref
appTerm
7851
def
143
ref
appTerm
7852
def
nil
cons
7853
def
cons
nil
cons
cons
nil
cons
cons
7854
def
76
ref
subst
7854
remove
107
ref
subst
656
remove
eqMp
nil
108
ref
7850
ref
cons
110
ref
7853
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
7849
ref
appTerm
7855
def
7852
remove
appTerm
nil
cons
cons
43
ref
52
ref
50
ref
3785
ref
7835
remove
appTerm
7856
def
appTerm
143
ref
appTerm
appTerm
7857
def
7855
ref
143
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2222
ref
309
ref
cons
nil
cons
nil
cons
cons
7584
remove
7846
remove
appThm
nil
25
ref
52
ref
7856
ref
appTerm
7858
def
7849
remove
appTerm
nil
cons
cons
43
ref
50
ref
7855
ref
7851
remove
2225
ref
appTerm
7859
def
appTerm
appTerm
7857
ref
7855
remove
2225
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2227
ref
7850
remove
cons
nil
cons
nil
cons
cons
2222
ref
50
ref
7858
remove
2228
ref
appTerm
appTerm
50
ref
2229
ref
7859
remove
appTerm
appTerm
7857
remove
2230
ref
appTerm
appTerm
appTerm
absTerm
7860
def
2225
ref
appTerm
7861
def
betaConv
2227
ref
159
ref
7860
ref
appTerm
7862
def
absTerm
7863
def
2228
ref
appTerm
7864
def
betaConv
nil
416
remove
25
ref
7856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2305
ref
subst
nil
25
ref
159
ref
7863
ref
appTerm
nil
cons
cons
43
ref
7864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7863
remove
nil
cons
cons
2306
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7862
remove
nil
cons
cons
43
ref
7861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7860
remove
nil
cons
cons
2307
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
absThm
appThm
nil
694
ref
30
ref
nil
cons
7865
def
cons
7866
def
7847
remove
cons
nil
cons
cons
7839
ref
3294
ref
subst
7867
def
subst
77
ref
1529
ref
1364
ref
50
ref
1367
ref
1420
ref
appTerm
appTerm
7868
def
refl
1364
ref
30
ref
7786
ref
1366
ref
appTerm
appTerm
absTerm
7869
def
1366
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
204
ref
35
ref
1796
remove
7869
ref
1442
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1530
ref
7869
remove
nil
cons
cons
nil
cons
nil
cons
cons
3294
ref
subst
eqMp
204
ref
35
ref
nil
1081
ref
43
ref
52
ref
30
ref
7786
remove
1442
ref
appTerm
7870
def
appTerm
7871
def
appTerm
7872
def
14
ref
appTerm
7873
def
nil
cons
7874
def
cons
nil
cons
cons
nil
cons
cons
7875
def
76
ref
subst
7875
remove
107
ref
subst
380
ref
7870
remove
betaConv
appThm
nil
1081
ref
43
ref
52
ref
30
ref
1201
ref
1202
ref
238
ref
443
ref
66
ref
1203
remove
444
ref
appTerm
appTerm
1703
ref
3202
ref
1442
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2089
remove
nil
7762
ref
43
ref
52
ref
7778
remove
appTerm
14
ref
appTerm
nil
cons
7876
def
cons
nil
cons
cons
nil
cons
cons
7877
def
76
ref
subst
7877
remove
107
ref
subst
7780
remove
102
ref
subst
nil
7762
remove
43
ref
7779
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
7781
ref
1836
ref
appTerm
7878
def
betaConv
nil
7783
remove
43
ref
7878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
7781
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
7761
remove
cons
110
ref
7876
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
subst
eqMp
trans
eqMp
nil
1074
ref
110
ref
7874
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
435
ref
7873
remove
appTerm
nil
cons
cons
43
ref
52
ref
435
ref
7871
ref
appTerm
appTerm
7879
def
3333
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2223
ref
1671
ref
nil
3334
remove
43
ref
50
ref
435
remove
7872
remove
2225
ref
appTerm
7880
def
appTerm
appTerm
7879
ref
3336
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3337
remove
2222
ref
3338
remove
50
ref
2229
ref
7880
remove
appTerm
appTerm
7879
remove
2230
ref
appTerm
appTerm
appTerm
absTerm
7881
def
2225
ref
appTerm
7882
def
betaConv
2227
ref
159
ref
7881
ref
appTerm
7883
def
absTerm
7884
def
2228
ref
appTerm
7885
def
betaConv
nil
43
ref
7871
remove
nil
cons
cons
3344
remove
cons
nil
cons
cons
2305
ref
subst
nil
25
ref
159
ref
7884
ref
appTerm
nil
cons
cons
43
ref
7885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7884
remove
nil
cons
cons
2306
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7883
remove
nil
cons
cons
43
ref
7882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7881
remove
nil
cons
cons
2307
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
2364
remove
trans
absThm
appThm
2365
remove
trans
trans
trans
trans
appThm
1044
ref
trans
trans
sym
94
ref
eqMp
eqMp
proveHyp
eqMp
nil
108
ref
7782
remove
cons
389
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
3402
remove
cons
7886
def
110
ref
7758
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1430
ref
7743
remove
appTerm
thm
nil
1454
ref
1417
ref
1858
ref
1301
ref
50
ref
3243
ref
291
ref
292
ref
1389
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
3483
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
3175
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
7887
def
absTerm
7888
def
appTerm
7889
def
absTerm
7890
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7889
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
7888
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
7887
ref
nil
cons
7891
def
cons
nil
cons
nil
cons
cons
7892
def
102
ref
subst
1301
ref
50
ref
3243
ref
291
ref
292
ref
1389
ref
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
7291
ref
3483
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
30
ref
1201
ref
1202
ref
238
ref
35
ref
3155
ref
7291
remove
3175
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
7893
def
absTerm
7894
def
1308
ref
appTerm
7895
def
betaConv
38
ref
1858
ref
1301
ref
50
ref
3243
ref
291
ref
292
ref
1389
ref
30
ref
7785
remove
appTerm
7896
def
appTerm
absTerm
7897
def
appTerm
7898
def
appTerm
7899
def
appTerm
3427
remove
appTerm
7900
def
absTerm
7901
def
appTerm
7902
def
absTerm
7903
def
1264
remove
appTerm
7904
def
betaConv
nil
218
ref
7903
ref
nil
cons
cons
7905
def
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7902
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
7901
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
7900
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7899
remove
nil
cons
7906
def
cons
3709
remove
cons
nil
cons
cons
7907
def
76
ref
subst
7907
remove
107
ref
subst
nil
2702
remove
110
ref
7898
remove
nil
cons
7908
def
cons
nil
cons
cons
nil
cons
cons
7909
def
122
ref
subst
7909
remove
139
ref
subst
nil
141
ref
3779
remove
7837
remove
7797
remove
1201
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
1669
ref
7798
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7910
def
appTerm
1308
ref
appTerm
7911
def
appTerm
7912
def
nil
cons
cons
3538
remove
nil
cons
cons
nil
cons
cons
1527
remove
subst
sym
204
ref
35
ref
77
ref
3541
remove
appThm
nil
3264
ref
7911
ref
nil
cons
cons
nil
cons
nil
cons
cons
7913
def
3916
remove
subst
77
ref
2486
ref
141
ref
66
ref
3785
ref
7911
ref
appTerm
7914
def
appTerm
refl
141
ref
424
ref
absTerm
7915
def
142
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
1462
ref
1364
ref
66
ref
1368
ref
appTerm
7916
def
refl
7917
def
7915
ref
7910
ref
1366
ref
appTerm
7918
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
694
ref
7915
remove
nil
cons
cons
1347
remove
7794
remove
7910
remove
nil
cons
cons
nil
cons
cons
7919
def
cons
nil
cons
cons
7839
remove
7822
remove
subst
subst
eqMp
trans
1462
ref
1364
ref
7917
remove
3719
remove
7918
ref
betaConv
7920
def
appThm
nil
175
ref
1202
ref
238
ref
35
ref
3155
ref
1440
ref
1669
ref
1366
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7921
def
nil
cons
cons
nil
cons
nil
cons
cons
1537
ref
subst
7921
ref
36
ref
appTerm
betaConv
trans
trans
appThm
absThm
appThm
trans
appThm
absThm
appThm
sym
nil
167
ref
1492
ref
52
ref
3656
ref
appTerm
1363
ref
1364
ref
7916
remove
238
ref
443
ref
3650
remove
1703
remove
3202
ref
1366
ref
appTerm
7922
def
appTerm
7923
def
appTerm
7924
def
absTerm
7925
def
appTerm
7926
def
appTerm
7927
def
absTerm
7928
def
appTerm
7929
def
appTerm
7930
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
1492
remove
nil
96
ref
7930
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
3659
remove
cons
43
ref
7929
ref
nil
cons
7931
def
cons
nil
cons
7932
def
cons
nil
cons
cons
140
ref
subst
nil
167
ref
443
ref
3684
remove
7929
ref
appTerm
7933
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
7933
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3687
remove
7932
ref
cons
nil
cons
cons
7934
def
76
ref
subst
7934
remove
107
ref
subst
3690
remove
nil
3692
remove
7932
remove
cons
nil
cons
cons
7935
def
135
ref
subst
proveHyp
7935
ref
76
ref
subst
7935
remove
107
ref
subst
3695
remove
3696
remove
3636
remove
3637
remove
7928
ref
1481
ref
appTerm
betaConv
sym
153
ref
3591
remove
appThm
1463
ref
"x''"
26
ref
var
7936
def
153
ref
3674
remove
7936
ref
varTerm
7937
def
refl
appThm
appThm
66
ref
422
ref
7937
ref
appTerm
39
ref
appTerm
appTerm
1436
ref
1418
ref
7937
ref
appTerm
appTerm
1481
remove
appTerm
appTerm
7938
def
refl
appThm
absThm
appThm
appThm
nil
96
ref
238
ref
7936
remove
66
ref
476
remove
7937
remove
appTerm
appTerm
7938
remove
appTerm
absTerm
7939
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
7939
ref
444
ref
appTerm
betaConv
sym
153
ref
3588
remove
appThm
3590
ref
nil
3536
ref
nil
cons
cons
1614
remove
subst
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
213
ref
167
ref
7939
remove
nil
cons
cons
452
ref
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
eqMp
1351
ref
1374
ref
7928
ref
nil
cons
cons
7940
def
3536
remove
cons
nil
cons
cons
266
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
3697
remove
110
ref
7931
remove
cons
nil
cons
7941
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3699
remove
7941
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
35
ref
3700
remove
7929
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
3682
remove
7929
ref
appTerm
nil
cons
7942
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
3676
remove
7941
remove
cons
nil
cons
cons
754
ref
subst
eqMp
nil
25
ref
7942
remove
cons
43
ref
50
ref
7929
remove
appTerm
3656
ref
appTerm
nil
cons
cons
nil
cons
7943
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
1374
ref
1364
ref
50
ref
7928
remove
1366
ref
appTerm
7944
def
appTerm
3656
ref
appTerm
7945
def
absTerm
7946
def
nil
cons
cons
nil
cons
nil
cons
cons
1377
ref
subst
1364
ref
nil
96
ref
7945
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7944
ref
nil
cons
7947
def
cons
3660
ref
cons
nil
cons
cons
7948
def
76
ref
subst
7948
remove
107
ref
subst
7944
ref
betaConv
7944
remove
assume
eqMp
nil
25
ref
7927
remove
nil
cons
7949
def
cons
3660
ref
cons
nil
cons
cons
7950
def
135
ref
subst
proveHyp
7950
ref
76
ref
subst
7950
remove
107
ref
subst
nil
108
ref
1368
ref
nil
cons
7951
def
cons
7952
def
110
ref
7926
ref
nil
cons
7953
def
cons
nil
cons
cons
nil
cons
cons
7954
def
122
ref
subst
7954
remove
139
ref
subst
nil
25
ref
7953
remove
cons
3660
ref
cons
nil
cons
cons
135
ref
subst
nil
167
ref
443
ref
50
ref
7925
ref
444
ref
appTerm
7955
def
appTerm
3656
ref
appTerm
7956
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
443
ref
nil
96
ref
7956
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
7955
ref
nil
cons
7957
def
cons
3660
ref
cons
nil
cons
cons
7958
def
76
ref
subst
7958
remove
107
ref
subst
7955
ref
betaConv
7955
remove
assume
eqMp
nil
25
ref
7924
remove
nil
cons
7959
def
cons
3660
remove
cons
nil
cons
cons
7960
def
135
ref
subst
proveHyp
7960
ref
76
ref
subst
7960
remove
107
ref
subst
nil
3668
remove
110
ref
7923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7961
def
122
ref
subst
7961
remove
139
ref
subst
nil
2122
remove
110
ref
7922
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7962
def
122
ref
subst
7962
remove
139
ref
subst
3673
remove
3675
remove
3590
remove
3641
remove
7922
remove
assume
appThm
2392
remove
appThm
nil
96
ref
7951
ref
cons
nil
cons
nil
cons
cons
7963
def
102
ref
subst
1368
ref
assume
eqMp
trans
appThm
1044
ref
trans
appThm
1044
ref
trans
sym
94
ref
eqMp
eqMp
3677
remove
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7959
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7957
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
35
ref
50
ref
7925
ref
36
ref
appTerm
appTerm
3656
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
7926
remove
appTerm
3656
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
7925
remove
nil
cons
cons
3678
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
7949
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
7947
remove
cons
3678
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
291
ref
7946
remove
appTerm
nil
cons
cons
7943
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
7940
remove
3678
remove
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
52
ref
"_11044"
28
ref
var
7964
def
30
ref
7964
remove
varTerm
appTerm
absTerm
7965
def
3426
ref
appTerm
appTerm
refl
7965
remove
7912
ref
appTerm
betaConv
appThm
77
ref
3704
remove
appThm
30
ref
7912
ref
appTerm
7966
def
refl
appThm
trans
3858
remove
188
remove
3426
remove
appTerm
7912
remove
appTerm
assume
appThm
eqMp
sym
nil
2597
remove
43
ref
52
ref
3135
ref
7911
remove
appTerm
7967
def
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
7919
ref
nil
cons
cons
7848
remove
subst
eqMp
sym
94
ref
eqMp
nil
25
ref
7967
remove
nil
cons
cons
43
ref
52
ref
7966
remove
appTerm
200
ref
141
ref
50
ref
7914
remove
appTerm
143
ref
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
7913
remove
3930
remove
subst
eqMp
nil
7866
remove
7919
remove
cons
nil
cons
cons
7867
remove
subst
1529
ref
1364
ref
nil
25
ref
7951
ref
cons
7968
def
43
ref
52
ref
30
ref
7918
remove
appTerm
7969
def
appTerm
7970
def
14
ref
appTerm
7971
def
nil
cons
7972
def
cons
nil
cons
cons
nil
cons
cons
7973
def
76
ref
subst
7973
remove
107
ref
subst
380
ref
7920
remove
appThm
nil
7968
ref
43
ref
52
ref
30
ref
1201
ref
7921
remove
appTerm
appTerm
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
4046
remove
nil
1387
ref
43
ref
52
ref
7896
ref
appTerm
14
ref
appTerm
nil
cons
7974
def
cons
nil
cons
cons
nil
cons
cons
7975
def
76
ref
subst
7975
remove
107
ref
subst
nil
96
ref
7896
remove
nil
cons
7976
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1387
remove
43
ref
7976
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
7897
ref
294
ref
appTerm
7977
def
betaConv
nil
25
ref
7908
remove
cons
43
ref
7977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1351
ref
1374
ref
7897
remove
nil
cons
cons
1812
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1925
remove
110
ref
7974
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
subst
eqMp
trans
eqMp
nil
7952
remove
110
ref
7972
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
1898
ref
7971
remove
appTerm
nil
cons
cons
43
ref
52
ref
1898
ref
7969
ref
appTerm
appTerm
7978
def
1898
ref
14
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2223
remove
1368
ref
refl
nil
25
ref
4096
ref
1368
ref
appTerm
nil
cons
cons
43
ref
50
ref
1898
ref
7970
remove
2225
ref
appTerm
7979
def
appTerm
appTerm
7978
ref
1898
remove
2225
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2227
ref
7951
remove
cons
nil
cons
nil
cons
cons
2222
ref
50
ref
4096
remove
2228
ref
appTerm
appTerm
50
ref
2229
ref
7979
remove
appTerm
appTerm
7978
remove
2230
ref
appTerm
appTerm
appTerm
absTerm
7980
def
2225
ref
appTerm
7981
def
betaConv
2227
ref
159
ref
7980
ref
appTerm
7982
def
absTerm
7983
def
2228
ref
appTerm
7984
def
betaConv
nil
43
ref
7969
remove
nil
cons
cons
7968
remove
nil
cons
cons
nil
cons
cons
2305
ref
subst
nil
25
ref
159
ref
7983
ref
appTerm
nil
cons
cons
43
ref
7984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7983
remove
nil
cons
cons
2306
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7982
remove
nil
cons
cons
43
ref
7981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
7980
remove
nil
cons
cons
2307
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
7963
remove
2062
remove
subst
trans
absThm
appThm
575
remove
1352
ref
844
remove
subst
subst
trans
trans
trans
sym
94
ref
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
7906
remove
cons
3711
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
7985
def
nil
25
ref
200
ref
7903
remove
appTerm
7986
def
nil
cons
7987
def
cons
43
ref
7904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
7905
remove
7290
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
1858
ref
7894
ref
appTerm
nil
cons
cons
43
ref
7895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
7894
remove
nil
cons
cons
1873
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
7893
remove
nil
cons
cons
43
ref
7891
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
4337
remove
1529
ref
292
ref
1389
remove
refl
380
ref
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
7292
ref
3483
ref
refl
appThm
nil
96
ref
3483
remove
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
absThm
appThm
appThm
appThm
380
remove
3465
ref
1202
ref
1463
ref
35
ref
3466
ref
7292
remove
4146
ref
appThm
4147
remove
186
ref
subst
7988
def
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
7887
remove
refl
appThm
7892
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1430
ref
7890
remove
appTerm
thm
2357
remove
nil
2164
remove
2011
remove
appTerm
thm
nil
1374
ref
3176
ref
200
ref
38
ref
1858
ref
1301
ref
1929
ref
3180
remove
appTerm
7989
def
absTerm
7990
def
appTerm
7991
def
absTerm
7992
def
appTerm
7993
def
absTerm
7994
def
nil
cons
cons
nil
cons
nil
cons
cons
1377
remove
subst
3176
remove
nil
96
ref
7993
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
7992
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
7991
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
7990
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
ref
subst
1301
ref
nil
96
ref
7989
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
3253
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
291
ref
7994
remove
appTerm
thm
nil
218
ref
38
ref
1858
ref
1301
ref
1430
ref
"k"
1411
ref
var
7995
def
1929
remove
3167
ref
3169
ref
3170
ref
3171
remove
1417
ref
3173
remove
66
ref
4191
ref
1308
ref
appTerm
7996
def
appTerm
148
ref
1201
remove
1202
ref
238
ref
35
ref
3155
remove
419
ref
1669
ref
7995
ref
varTerm
7997
def
36
ref
appTerm
7998
def
appTerm
7999
def
appTerm
8000
def
appTerm
absTerm
appTerm
absTerm
8001
def
appTerm
8002
def
appTerm
39
ref
appTerm
8003
def
appTerm
8004
def
appTerm
absTerm
appTerm
absTerm
appTerm
8005
def
appTerm
8006
def
appTerm
8007
def
absTerm
8008
def
appTerm
8009
def
absTerm
8010
def
appTerm
8011
def
absTerm
8012
def
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
8011
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1871
ref
8010
remove
nil
cons
cons
nil
cons
nil
cons
cons
2626
remove
subst
1301
ref
nil
96
ref
8009
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
8008
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
7995
remove
nil
96
ref
8007
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1952
ref
43
ref
8006
remove
nil
cons
8013
def
cons
nil
cons
8014
def
cons
nil
cons
cons
8015
def
76
ref
subst
8015
remove
107
ref
subst
1958
remove
1959
remove
3247
ref
66
ref
3167
ref
3247
ref
varTerm
8016
def
appTerm
appTerm
145
ref
3188
remove
constTerm
8005
ref
appTerm
8017
def
8016
remove
appTerm
appTerm
absTerm
8018
def
1400
ref
1
ref
1
ref
1284
ref
1451
remove
cons
opType
8019
def
1
ref
2
remove
1294
ref
opType
8020
def
3168
ref
cons
opType
nil
cons
cons
opType
constTerm
"u"
1284
ref
var
8021
def
35
ref
3227
ref
1363
ref
292
ref
1853
ref
8021
ref
varTerm
8022
def
appTerm
absTerm
8023
def
appTerm
appTerm
2030
remove
1
ref
286
ref
1280
ref
cons
opType
constTerm
8024
def
8023
remove
appTerm
appTerm
7998
ref
appTerm
absTerm
absTerm
8025
def
appTerm
1130
remove
1
ref
1285
ref
8020
ref
nil
cons
cons
opType
constTerm
"v"
1284
ref
var
8026
def
237
ref
1
ref
1285
ref
4
ref
cons
opType
constTerm
8027
def
8021
ref
66
ref
1290
ref
8026
remove
varTerm
appTerm
8022
ref
appTerm
appTerm
145
remove
1289
remove
constTerm
8028
def
8022
ref
appTerm
1309
ref
appTerm
8029
def
appTerm
absTerm
appTerm
absTerm
8030
def
appTerm
8031
def
appTerm
8032
def
appTerm
betaConv
sym
153
ref
1064
ref
2363
remove
appThm
1044
ref
trans
sym
94
ref
eqMp
nil
1952
ref
43
ref
1311
remove
14
ref
appTerm
nil
cons
8033
def
cons
nil
cons
cons
nil
cons
cons
8034
def
135
ref
subst
proveHyp
8034
ref
76
ref
subst
8034
remove
107
ref
subst
nil
96
ref
1341
ref
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1952
remove
43
ref
1341
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
2373
remove
eqMp
eqMp
eqMp
nil
2368
ref
110
ref
8033
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
sym
94
ref
eqMp
nil
1342
remove
43
ref
52
ref
0
ref
1
ref
8020
ref
4
ref
cons
opType
constTerm
8031
ref
appTerm
8035
def
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2428
remove
2057
ref
nil
1111
remove
43
ref
3257
remove
14
ref
appTerm
nil
cons
8036
def
cons
nil
cons
cons
nil
cons
cons
8037
def
76
ref
subst
8037
remove
107
ref
subst
nil
96
ref
3147
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
3255
remove
eqMp
eqMp
nil
1057
ref
110
ref
8036
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
subst
subst
eqMp
sym
94
ref
eqMp
nil
25
ref
8035
remove
nil
cons
cons
43
ref
52
ref
3167
remove
8032
ref
appTerm
appTerm
14
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"s"
8020
remove
var
8031
remove
nil
cons
cons
8038
def
"f"
8019
remove
var
8025
ref
nil
cons
cons
8039
def
nil
cons
cons
nil
cons
cons
"A"
1294
ref
cons
8040
def
3248
ref
cons
23
ref
cons
8041
def
5111
remove
subst
subst
eqMp
appThm
8017
remove
8032
ref
appTerm
8042
def
refl
appThm
nil
96
ref
8042
remove
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
sym
nil
3247
remove
8032
ref
nil
cons
8043
def
cons
"s"
3165
ref
var
8005
remove
nil
cons
cons
nil
cons
8044
def
cons
nil
cons
cons
1788
ref
442
ref
subst
subst
sym
77
ref
1431
ref
1455
ref
51
ref
420
ref
1
ref
1411
ref
3187
remove
cons
opType
constTerm
8045
def
5017
ref
appTerm
8046
def
refl
3169
remove
refl
3170
remove
4600
remove
1417
ref
153
ref
3172
remove
refl
1417
ref
1418
ref
absTerm
8047
def
1418
ref
appTerm
8048
def
betaConv
8049
def
appThm
appThm
1417
ref
8004
ref
absTerm
8050
def
1418
ref
appTerm
betaConv
8051
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
1455
ref
8046
remove
8032
ref
appTerm
absTerm
8052
def
5017
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
1431
ref
1417
ref
51
ref
8051
remove
appThm
8052
ref
8048
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
"f"
6089
remove
var
8047
remove
nil
cons
cons
4466
remove
8050
remove
nil
cons
cons
4467
remove
8052
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1452
ref
3248
remove
cons
23
ref
cons
6879
remove
subst
subst
eqMp
1431
ref
1417
ref
50
ref
8004
ref
appTerm
8053
def
refl
8045
ref
refl
8049
remove
appThm
8032
ref
refl
appThm
appThm
absThm
appThm
trans
sym
nil
1454
ref
1417
ref
8053
remove
8045
remove
1418
ref
appTerm
8032
remove
appTerm
8054
def
appTerm
8055
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
8055
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8004
remove
nil
cons
8056
def
cons
43
ref
8054
remove
nil
cons
8057
def
cons
nil
cons
cons
nil
cons
cons
8058
def
76
ref
subst
8058
remove
107
ref
subst
nil
108
ref
7996
ref
nil
cons
cons
110
ref
8003
remove
nil
cons
8059
def
cons
nil
cons
cons
nil
cons
cons
8060
def
122
ref
subst
8060
remove
139
ref
subst
nil
8038
remove
8039
remove
"y"
1411
ref
var
1456
ref
cons
nil
cons
cons
cons
nil
cons
cons
8041
remove
1813
ref
subst
subst
8027
ref
refl
8061
def
"x"
1284
ref
var
8062
def
153
ref
2181
remove
1418
ref
appTerm
8063
def
refl
8025
remove
8062
ref
varTerm
8064
def
appTerm
betaConv
appThm
appThm
nil
"p"
1285
ref
var
8065
def
8030
ref
nil
cons
cons
nil
cons
nil
cons
cons
8040
remove
nil
cons
8066
def
23
ref
cons
8067
def
1537
ref
subst
subst
8030
remove
8064
ref
appTerm
betaConv
trans
appThm
absThm
appThm
trans
sym
8062
ref
66
ref
8063
ref
35
ref
3227
ref
1363
ref
292
ref
1853
ref
8064
ref
appTerm
absTerm
8068
def
appTerm
appTerm
8024
ref
8068
remove
appTerm
appTerm
7998
ref
appTerm
absTerm
appTerm
appTerm
8027
ref
8021
ref
66
ref
1290
ref
8064
remove
appTerm
8022
ref
appTerm
appTerm
8029
ref
appTerm
absTerm
appTerm
appTerm
absTerm
8069
def
1400
ref
1
ref
1
ref
26
ref
1283
remove
cons
opType
8070
def
1
ref
28
ref
1294
remove
cons
opType
nil
cons
cons
opType
constTerm
35
ref
1851
remove
1442
ref
appTerm
absTerm
8071
def
appTerm
8002
ref
appTerm
8072
def
appTerm
betaConv
sym
nil
3221
ref
35
ref
3227
ref
1363
ref
292
ref
1853
remove
8072
ref
appTerm
absTerm
8073
def
appTerm
appTerm
8024
ref
8073
remove
appTerm
appTerm
7998
ref
appTerm
8074
def
absTerm
8075
def
nil
cons
cons
nil
cons
nil
cons
cons
3221
ref
52
ref
8063
ref
3222
ref
appTerm
8076
def
appTerm
166
ref
35
ref
1669
ref
3229
remove
appTerm
absTerm
appTerm
8077
def
appTerm
absTerm
8078
def
3222
remove
appTerm
8079
def
betaConv
1417
ref
1430
ref
8078
ref
appTerm
8080
def
absTerm
8081
def
1418
ref
appTerm
8082
def
betaConv
1431
ref
1417
ref
1431
ref
3221
ref
nil
541
ref
8077
ref
nil
cons
cons
20
ref
8076
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1526
remove
subst
absThm
appThm
absThm
appThm
sym
nil
1430
ref
1417
ref
1430
ref
3221
remove
52
ref
8077
remove
appTerm
8076
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
25
ref
1430
ref
8081
ref
appTerm
nil
cons
cons
43
ref
8082
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
8081
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8080
remove
nil
cons
cons
43
ref
8079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
8078
remove
nil
cons
cons
4093
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
204
ref
35
ref
6098
ref
8075
ref
36
ref
appTerm
betaConv
appThm
absThm
appThm
trans
sym
nil
167
ref
35
ref
1669
ref
8074
remove
appTerm
8083
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
8083
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
6098
ref
3227
ref
refl
1462
ref
292
ref
nil
38
ref
8002
ref
nil
cons
cons
8084
def
"f"
8070
remove
var
8071
ref
nil
cons
cons
8085
def
"y"
1282
remove
var
1852
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
212
ref
2110
remove
cons
23
ref
cons
8086
def
1813
remove
subst
subst
1463
ref
443
ref
153
ref
1940
ref
1852
remove
appTerm
refl
8071
ref
444
ref
appTerm
betaConv
appThm
nil
"b'"
285
ref
var
8087
def
3535
remove
cons
"a'"
26
ref
var
8088
def
451
remove
cons
1834
remove
1915
ref
cons
cons
cons
nil
cons
cons
8087
ref
52
ref
1940
remove
1839
remove
appTerm
1831
remove
8088
ref
varTerm
8089
def
appTerm
8087
remove
varTerm
8090
def
appTerm
appTerm
appTerm
66
ref
458
ref
1836
ref
appTerm
8091
def
8089
ref
appTerm
appTerm
1436
ref
1838
ref
appTerm
8090
ref
appTerm
appTerm
appTerm
absTerm
8092
def
8090
ref
appTerm
8093
def
betaConv
8088
remove
291
ref
8092
ref
appTerm
8094
def
absTerm
8095
def
8089
ref
appTerm
8096
def
betaConv
1833
remove
166
ref
8095
ref
appTerm
8097
def
absTerm
8098
def
1838
remove
appTerm
8099
def
betaConv
1835
ref
291
ref
8098
ref
appTerm
8100
def
absTerm
8101
def
1836
ref
appTerm
8102
def
betaConv
nil
166
ref
8101
ref
appTerm
8103
def
axiom
nil
25
ref
8103
remove
nil
cons
cons
43
ref
8102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
8101
remove
nil
cons
cons
1846
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8100
remove
nil
cons
cons
43
ref
8099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
8098
remove
nil
cons
cons
1848
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8097
remove
nil
cons
cons
43
ref
8096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
8095
remove
nil
cons
cons
35
ref
8089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8094
remove
nil
cons
cons
43
ref
8093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
8092
remove
nil
cons
cons
1364
ref
8090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
trans
appThm
77
ref
3315
remove
3465
remove
1202
remove
1463
ref
35
ref
3466
remove
35
ref
8000
ref
absTerm
8104
def
36
ref
appTerm
betaConv
8105
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
8104
ref
444
ref
appTerm
betaConv
8106
def
appThm
nil
175
ref
8104
remove
nil
cons
cons
452
remove
cons
nil
cons
cons
1214
remove
subst
eqMp
appThm
nil
4914
ref
419
ref
3202
remove
7997
remove
444
ref
appTerm
appTerm
appTerm
8107
def
nil
cons
cons
2766
ref
1482
ref
nil
cons
cons
2767
ref
3573
remove
cons
nil
cons
cons
cons
nil
cons
cons
7146
ref
subst
trans
absThm
appThm
77
ref
1463
ref
443
ref
3533
ref
443
ref
66
ref
1482
remove
appTerm
8107
ref
appTerm
absTerm
8108
def
444
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
8108
ref
36
ref
appTerm
betaConv
appThm
nil
175
ref
8108
remove
nil
cons
cons
1915
ref
cons
nil
cons
cons
1835
remove
52
ref
238
ref
35
ref
66
ref
8091
remove
36
ref
appTerm
appTerm
241
remove
appTerm
absTerm
appTerm
appTerm
6715
remove
appTerm
absTerm
8109
def
1836
remove
appTerm
8110
def
betaConv
175
ref
166
ref
8109
ref
appTerm
8111
def
absTerm
8112
def
177
ref
appTerm
8113
def
betaConv
nil
354
ref
8112
ref
appTerm
8114
def
axiom
nil
25
ref
8114
remove
nil
cons
cons
43
ref
8113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
8112
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8111
remove
nil
cons
cons
43
ref
8110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
8109
remove
nil
cons
cons
1846
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
8115
def
subst
eqMp
trans
trans
absThm
8116
def
appThm
appThm
8024
ref
refl
8116
remove
appThm
appThm
7998
ref
refl
appThm
appThm
sym
77
ref
"_12550"
285
ref
var
8117
def
1669
ref
8117
remove
varTerm
appTerm
absTerm
8118
def
3227
remove
1363
ref
292
ref
1799
remove
8000
ref
appTerm
8119
def
absTerm
8120
def
appTerm
8121
def
appTerm
8024
remove
8120
ref
appTerm
8122
def
appTerm
7998
ref
appTerm
appTerm
betaConv
appThm
153
ref
50
ref
8121
ref
appTerm
8123
def
refl
8118
ref
8122
ref
appTerm
betaConv
appThm
appThm
50
ref
419
ref
8121
ref
appTerm
8124
def
appTerm
8125
def
refl
8118
ref
7998
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
285
ref
var
7998
remove
nil
cons
cons
"_482"
285
remove
var
8122
ref
nil
cons
cons
3496
remove
8121
remove
nil
cons
8126
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
286
remove
var
8118
remove
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
3514
remove
subst
subst
subst
eqMp
sym
nil
25
ref
8126
ref
cons
8127
def
43
ref
1669
ref
8122
ref
appTerm
8128
def
nil
cons
8129
def
cons
nil
cons
8130
def
cons
nil
cons
cons
8131
def
76
ref
subst
8131
remove
107
ref
subst
8120
ref
8122
ref
appTerm
8132
def
betaConv
nil
8127
remove
43
ref
8132
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1351
ref
1530
ref
8120
ref
nil
cons
cons
nil
cons
nil
cons
8133
def
cons
2308
remove
subst
eqMp
eqMp
nil
25
ref
66
ref
1436
ref
8122
remove
appTerm
1442
ref
appTerm
8134
def
appTerm
8000
ref
appTerm
nil
cons
8135
def
cons
8130
remove
cons
nil
cons
cons
8136
def
135
ref
subst
proveHyp
8136
ref
76
ref
subst
8136
remove
107
ref
subst
nil
108
ref
8134
ref
nil
cons
cons
110
ref
8000
ref
nil
cons
8137
def
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
6098
remove
8134
remove
assume
appThm
1675
ref
trans
sym
94
ref
eqMp
proveHyp
eqMp
nil
108
ref
8135
remove
cons
110
ref
8129
remove
cons
nil
cons
8138
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8126
remove
cons
8138
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
8123
remove
8128
remove
appTerm
nil
cons
cons
43
ref
8125
remove
7999
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
8124
ref
nil
cons
8139
def
cons
43
ref
7999
ref
nil
cons
8140
def
cons
nil
cons
8141
def
cons
nil
cons
cons
8142
def
76
ref
subst
8142
remove
107
ref
subst
292
ref
419
ref
8119
remove
appTerm
absTerm
8143
def
1442
ref
appTerm
8144
def
betaConv
77
ref
518
ref
1462
ref
292
ref
8120
remove
294
ref
appTerm
betaConv
8145
def
absThm
appThm
appThm
appThm
1529
remove
292
ref
518
ref
8145
remove
appThm
absThm
appThm
appThm
nil
8133
remove
cons
1352
ref
3046
remove
subst
subst
eqMp
8124
remove
assume
eqMp
nil
25
ref
291
ref
8143
ref
appTerm
nil
cons
cons
43
ref
8144
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
ref
1374
ref
8143
remove
nil
cons
cons
1673
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
419
ref
66
ref
1669
remove
1442
remove
appTerm
appTerm
8000
ref
appTerm
appTerm
nil
cons
cons
8141
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
518
ref
153
ref
1675
remove
appThm
8000
ref
refl
appThm
nil
96
ref
8137
ref
cons
nil
cons
nil
cons
cons
186
ref
subst
trans
appThm
nil
96
ref
8140
ref
cons
nil
cons
nil
cons
cons
8146
def
2448
remove
subst
trans
appThm
7999
ref
refl
appThm
8146
remove
573
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
108
ref
8139
remove
cons
110
ref
8140
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
8063
remove
8075
remove
appTerm
nil
cons
cons
43
ref
8027
remove
8021
ref
66
ref
1290
remove
8072
ref
appTerm
8022
ref
appTerm
appTerm
8147
def
8029
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
77
ref
8061
remove
8021
ref
8147
remove
refl
8021
remove
8029
remove
absTerm
8148
def
8022
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
8148
ref
8072
ref
appTerm
betaConv
appThm
nil
8065
remove
8148
remove
nil
cons
cons
"a"
1284
remove
var
8072
ref
nil
cons
8149
def
cons
nil
cons
cons
nil
cons
cons
8067
remove
8115
ref
subst
subst
eqMp
sym
nil
25
ref
8059
remove
cons
43
ref
8028
remove
8072
ref
appTerm
1309
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
51
ref
nil
1728
remove
8084
ref
nil
cons
cons
nil
cons
cons
442
ref
subst
204
ref
35
ref
51
ref
nil
175
ref
8001
ref
nil
cons
cons
nil
cons
nil
cons
cons
1537
remove
subst
8001
remove
36
ref
appTerm
betaConv
77
ref
1463
ref
443
ref
3533
remove
8106
remove
appThm
absThm
appThm
appThm
8105
remove
appThm
nil
175
ref
443
ref
8107
remove
absTerm
nil
cons
cons
1915
remove
cons
nil
cons
cons
8115
remove
subst
eqMp
trans
trans
appThm
8150
def
1671
ref
appThm
absThm
appThm
trans
appThm
nil
2103
remove
1406
remove
cons
1405
remove
8149
ref
cons
nil
cons
cons
nil
cons
cons
2057
remove
442
remove
subst
subst
77
ref
158
ref
1816
remove
constTerm
refl
1818
ref
50
ref
1821
remove
8072
remove
appTerm
appTerm
refl
1818
remove
1822
remove
absTerm
8151
def
1819
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
204
ref
35
ref
50
ref
423
remove
8002
remove
appTerm
appTerm
refl
8151
ref
8071
remove
36
ref
appTerm
8152
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
2145
remove
8151
remove
nil
cons
cons
8084
remove
8085
remove
nil
cons
cons
cons
nil
cons
cons
8086
remove
3294
remove
subst
subst
eqMp
trans
204
ref
35
ref
8150
remove
1820
remove
refl
8152
remove
betaConv
appThm
1309
remove
refl
appThm
nil
1558
remove
nil
cons
cons
1874
remove
subst
trans
appThm
absThm
appThm
trans
appThm
sym
nil
25
ref
166
ref
35
ref
50
ref
8000
remove
appTerm
8153
def
434
remove
appTerm
8154
def
absTerm
8155
def
appTerm
nil
cons
8156
def
cons
8157
def
43
ref
166
ref
35
ref
8153
remove
3424
ref
appTerm
8158
def
absTerm
8159
def
appTerm
nil
cons
8160
def
cons
nil
cons
cons
nil
cons
cons
8161
def
76
ref
subst
8161
remove
107
ref
subst
nil
167
ref
8159
remove
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
8158
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8137
ref
cons
8162
def
43
ref
3424
ref
nil
cons
8163
def
cons
nil
cons
8164
def
cons
nil
cons
cons
8165
def
76
ref
subst
8165
remove
107
ref
subst
8155
ref
36
ref
appTerm
8166
def
betaConv
nil
8157
remove
43
ref
8166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
213
ref
167
ref
8155
remove
nil
cons
cons
215
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8154
remove
nil
cons
cons
8164
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
518
ref
nil
8162
remove
43
ref
52
ref
7999
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
8140
remove
cons
nil
cons
nil
cons
cons
536
ref
subst
eqMp
appThm
539
ref
trans
appThm
1671
remove
appThm
1091
remove
501
ref
subst
trans
appThm
3424
remove
refl
appThm
sym
nil
1081
ref
8164
remove
cons
nil
cons
cons
8167
def
76
ref
subst
8167
remove
107
ref
subst
1922
remove
4146
remove
appThm
7988
remove
trans
sym
nil
1081
remove
43
ref
3735
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
3734
remove
eqMp
nil
25
ref
3735
remove
cons
4144
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
1674
remove
1364
ref
7868
remove
1368
remove
appTerm
absTerm
8168
def
1366
ref
appTerm
8169
def
betaConv
3974
ref
1897
remove
subst
7996
remove
assume
eqMp
nil
25
ref
291
ref
8168
ref
appTerm
nil
cons
cons
43
ref
8169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1351
remove
1374
ref
8168
remove
nil
cons
cons
4053
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
1074
remove
110
ref
8163
remove
cons
nil
cons
8170
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
108
ref
8137
remove
cons
8170
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
108
ref
8156
remove
cons
110
ref
8160
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
8066
remove
"P"
1285
remove
var
8069
remove
nil
cons
cons
8062
remove
8149
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
8056
remove
cons
110
ref
8057
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
"A"
3168
remove
cons
nil
cons
"P"
3166
ref
var
8018
ref
nil
cons
cons
"x"
3165
remove
var
8043
remove
cons
nil
cons
cons
nil
cons
cons
266
ref
subst
proveHyp
nil
25
ref
237
ref
1
ref
3166
remove
4
ref
cons
opType
constTerm
8018
remove
appTerm
nil
cons
cons
8014
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8044
remove
nil
cons
cons
1788
remove
755
remove
subst
subst
eqMp
proveHyp
proveHyp
eqMp
nil
2368
remove
110
ref
8013
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
200
ref
8012
remove
appTerm
thm
nil
3358
ref
5025
ref
200
ref
38
ref
50
ref
1045
remove
66
ref
5028
remove
appTerm
7302
remove
200
ref
141
ref
200
ref
400
ref
50
ref
5060
ref
6552
remove
appTerm
8171
def
appTerm
456
ref
429
remove
appTerm
148
ref
401
ref
appTerm
8172
def
142
ref
appTerm
8173
def
appTerm
8174
def
appTerm
absTerm
8175
def
appTerm
8176
def
absTerm
8177
def
appTerm
8178
def
appTerm
8179
def
appTerm
8180
def
appTerm
8181
def
appTerm
267
ref
6864
ref
appTerm
8182
def
appTerm
8183
def
absTerm
8184
def
appTerm
8185
def
absTerm
8186
def
nil
cons
cons
nil
cons
nil
cons
cons
3808
ref
subst
5025
ref
nil
96
ref
8185
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
8184
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
8183
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8181
remove
nil
cons
8187
def
cons
43
ref
8182
ref
nil
cons
8188
def
cons
8189
def
nil
cons
8190
def
cons
nil
cons
cons
8191
def
76
ref
subst
8191
remove
107
ref
subst
nil
1057
remove
110
ref
8180
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8192
def
122
ref
subst
8192
remove
139
ref
subst
nil
108
ref
5050
ref
cons
110
ref
8179
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8193
def
122
ref
subst
8193
remove
139
ref
subst
nil
7577
remove
110
ref
8178
remove
nil
cons
8194
def
cons
nil
cons
cons
nil
cons
cons
8195
def
122
ref
subst
8195
remove
139
ref
subst
5174
remove
nil
25
ref
5045
remove
cons
8190
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
51
ref
1064
remove
nil
96
ref
5050
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5054
remove
eqMp
appThm
1044
remove
trans
appThm
5070
remove
appThm
nil
96
ref
5047
remove
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
appThm
7088
ref
appThm
77
ref
51
ref
3925
remove
refl
5030
ref
5039
remove
5031
ref
appTerm
betaConv
8196
def
absThm
appThm
appThm
7088
ref
appThm
appThm
3877
remove
5030
ref
51
ref
8196
remove
appThm
7088
ref
appThm
absThm
appThm
appThm
nil
3879
remove
5172
remove
cons
8190
ref
cons
nil
cons
cons
3807
remove
5089
remove
subst
subst
eqMp
trans
sym
nil
3358
ref
5030
ref
50
ref
5038
ref
appTerm
8182
ref
appTerm
8197
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3808
remove
subst
5030
remove
nil
96
ref
8197
ref
nil
cons
8198
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
419
ref
3152
remove
5031
ref
appTerm
3780
ref
appTerm
8199
def
appTerm
8200
def
nil
cons
8201
def
cons
8202
def
43
ref
8198
ref
cons
nil
cons
8203
def
cons
nil
cons
cons
8204
def
76
ref
subst
8204
remove
107
ref
subst
nil
25
ref
5038
ref
nil
cons
8205
def
cons
8206
def
8190
ref
cons
nil
cons
cons
8207
def
76
ref
subst
8207
remove
107
ref
subst
nil
108
ref
5032
ref
nil
cons
8208
def
cons
110
ref
5037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8209
def
122
ref
subst
8209
remove
139
ref
subst
nil
108
ref
5034
ref
nil
cons
8210
def
cons
110
ref
5036
ref
nil
cons
8211
def
cons
nil
cons
cons
nil
cons
cons
8212
def
122
ref
subst
8212
remove
139
ref
subst
6864
remove
5035
ref
appTerm
betaConv
sym
66
ref
3270
remove
5035
ref
appTerm
8213
def
5026
ref
appTerm
8214
def
appTerm
refl
nil
96
ref
8211
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5036
remove
assume
eqMp
appThm
nil
96
ref
8214
remove
nil
cons
8215
def
cons
nil
cons
nil
cons
cons
936
ref
subst
trans
sym
153
ref
nil
96
ref
8208
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
5032
remove
assume
eqMp
appThm
153
ref
518
ref
nil
8202
remove
43
ref
52
ref
8199
ref
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
108
ref
8199
ref
nil
cons
8216
def
cons
8217
def
nil
cons
nil
cons
cons
536
remove
subst
eqMp
appThm
539
ref
trans
appThm
200
ref
38
ref
200
ref
141
ref
50
ref
66
ref
6591
remove
5031
ref
appTerm
appTerm
3785
remove
5031
ref
appTerm
8218
def
appTerm
appTerm
7303
remove
appTerm
absTerm
appTerm
absTerm
appTerm
8219
def
refl
appThm
nil
96
ref
8219
ref
nil
cons
cons
nil
cons
nil
cons
cons
186
ref
subst
8220
def
trans
appThm
8220
remove
trans
sym
nil
218
ref
141
ref
200
ref
1723
remove
50
ref
66
ref
8218
ref
appTerm
8221
def
6884
remove
5031
ref
appTerm
appTerm
appTerm
456
ref
1726
remove
appTerm
148
ref
1724
remove
appTerm
142
ref
appTerm
appTerm
appTerm
absTerm
appTerm
8222
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
8222
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
400
ref
50
ref
8221
remove
6551
remove
5031
ref
appTerm
8223
def
appTerm
8224
def
appTerm
8174
ref
appTerm
8225
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
8225
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8224
remove
nil
cons
8226
def
cons
43
ref
8174
remove
nil
cons
8227
def
cons
nil
cons
8228
def
cons
nil
cons
cons
8229
def
76
ref
subst
8229
remove
107
ref
subst
nil
108
ref
8218
remove
nil
cons
8230
def
cons
110
ref
8223
remove
nil
cons
8231
def
cons
nil
cons
cons
nil
cons
cons
8232
def
122
ref
subst
8232
remove
139
ref
subst
nil
25
ref
8210
remove
cons
43
ref
8171
ref
nil
cons
8233
def
cons
nil
cons
8234
def
cons
nil
cons
cons
135
ref
subst
51
ref
nil
5130
remove
3264
remove
6589
ref
cons
nil
cons
cons
nil
cons
cons
3269
remove
subst
8235
def
appThm
8171
remove
refl
appThm
sym
nil
25
ref
200
ref
219
ref
50
ref
3271
remove
5031
ref
appTerm
appTerm
5132
remove
appTerm
absTerm
8236
def
appTerm
nil
cons
8237
def
cons
8238
def
8234
remove
cons
nil
cons
cons
8239
def
76
ref
subst
8239
remove
107
ref
subst
nil
25
ref
8230
remove
cons
5145
remove
cons
nil
cons
cons
135
ref
subst
3783
remove
8236
ref
734
ref
appTerm
8240
def
betaConv
8241
def
nil
8238
remove
43
ref
8240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
8242
def
217
ref
218
ref
8236
remove
nil
cons
cons
219
ref
3813
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
8243
def
eqMp
eqMp
8244
def
subst
eqMp
nil
7498
remove
43
ref
6999
remove
cons
nil
cons
8245
def
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
8231
remove
cons
8245
remove
cons
nil
cons
cons
135
ref
subst
nil
1773
ref
nil
cons
cons
8244
remove
subst
eqMp
eqMp
eqMp
nil
108
ref
8237
remove
cons
110
ref
8233
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
8233
remove
cons
8228
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
8175
ref
401
ref
appTerm
8246
def
betaConv
8177
ref
142
ref
appTerm
8247
def
betaConv
nil
25
ref
8194
remove
cons
43
ref
8247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
217
ref
218
ref
8177
remove
nil
cons
cons
234
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8176
remove
nil
cons
cons
43
ref
8246
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
8175
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
108
ref
8226
remove
cons
110
ref
8227
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
5033
remove
66
ref
8200
remove
appTerm
8219
remove
appTerm
appTerm
nil
cons
cons
43
ref
8213
remove
5031
remove
appTerm
nil
cons
8248
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
5025
remove
6589
remove
cons
nil
cons
nil
cons
cons
7734
ref
5026
ref
appTerm
8249
def
betaConv
7733
remove
nil
25
ref
7735
remove
nil
cons
cons
43
ref
8249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
3357
remove
3358
remove
7734
remove
nil
cons
cons
6588
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
8248
remove
cons
43
ref
8215
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
219
ref
5035
remove
nil
cons
cons
nil
cons
8250
def
nil
cons
cons
8241
remove
8235
remove
5034
remove
assume
eqMp
8242
remove
proveHyp
8243
remove
eqMp
eqMp
subst
eqMp
eqMp
eqMp
217
ref
218
ref
6868
remove
cons
8250
remove
cons
nil
cons
cons
266
remove
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
8205
remove
cons
110
ref
8188
ref
cons
nil
cons
8251
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
8201
ref
cons
110
ref
8198
ref
cons
nil
cons
8252
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
8216
ref
cons
8203
remove
cons
nil
cons
cons
8253
def
76
ref
subst
8253
remove
107
ref
subst
nil
25
ref
66
ref
3135
remove
3780
ref
appTerm
appTerm
66
ref
3345
remove
3780
remove
appTerm
5026
remove
appTerm
appTerm
367
remove
appTerm
appTerm
8254
def
nil
cons
8255
def
cons
43
ref
52
ref
8182
ref
appTerm
8256
def
8182
ref
appTerm
8257
def
nil
cons
8258
def
cons
nil
cons
cons
nil
cons
cons
8259
def
76
ref
subst
8259
remove
107
ref
subst
7088
ref
eqMp
nil
108
ref
8255
ref
cons
110
ref
8258
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
8254
ref
appTerm
8260
def
8257
remove
appTerm
nil
cons
cons
43
ref
52
ref
8197
remove
appTerm
8261
def
8260
ref
8182
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2222
ref
8188
remove
cons
nil
cons
nil
cons
cons
153
ref
3149
remove
8199
ref
assume
8262
def
appThm
appThm
153
ref
6570
remove
8262
ref
appThm
5156
remove
appThm
appThm
187
remove
7725
remove
8262
remove
appThm
3782
remove
trans
appThm
appThm
appThm
nil
25
ref
52
ref
5038
remove
appTerm
8263
def
8254
remove
appTerm
nil
cons
cons
43
ref
50
ref
8260
ref
8256
remove
2225
ref
appTerm
8264
def
appTerm
appTerm
8261
ref
8260
remove
2225
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2227
ref
8255
remove
cons
nil
cons
nil
cons
cons
2222
remove
50
ref
8263
remove
2228
ref
appTerm
appTerm
50
ref
2229
remove
8264
remove
appTerm
appTerm
8261
remove
2230
remove
appTerm
appTerm
appTerm
absTerm
8265
def
2225
remove
appTerm
8266
def
betaConv
2227
remove
159
ref
8265
ref
appTerm
8267
def
absTerm
8268
def
2228
remove
appTerm
8269
def
betaConv
nil
8189
remove
8206
remove
nil
cons
cons
nil
cons
cons
2305
remove
subst
nil
25
ref
159
ref
8268
ref
appTerm
nil
cons
cons
43
ref
8269
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
8268
remove
nil
cons
cons
2306
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8267
remove
nil
cons
cons
43
ref
8266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
8265
remove
nil
cons
cons
2307
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
51
ref
153
ref
345
ref
386
remove
subst
appThm
153
ref
5058
ref
345
ref
nil
96
ref
148
ref
193
ref
appTerm
8270
def
39
ref
appTerm
8271
def
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
38
ref
8271
remove
absTerm
8272
def
39
ref
appTerm
8273
def
betaConv
nil
200
ref
8272
ref
appTerm
8274
def
axiom
nil
25
ref
8274
remove
nil
cons
cons
43
ref
8273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
8272
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
8275
def
subst
subst
appThm
373
remove
appThm
nil
96
ref
377
remove
cons
nil
cons
nil
cons
cons
186
ref
subst
8276
def
trans
appThm
8276
remove
trans
appThm
7088
remove
appThm
sym
nil
378
remove
8190
remove
cons
nil
cons
cons
8277
def
76
ref
subst
8277
remove
107
ref
subst
52
ref
"_11412"
28
ref
var
8278
def
267
ref
141
ref
5060
ref
148
ref
8278
remove
varTerm
appTerm
142
ref
appTerm
appTerm
absTerm
appTerm
absTerm
8279
def
39
ref
appTerm
8280
def
appTerm
refl
8279
ref
193
remove
appTerm
betaConv
appThm
77
ref
8280
remove
betaConv
appThm
267
ref
141
ref
5060
remove
8270
remove
142
ref
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
8279
remove
refl
381
remove
appThm
eqMp
sym
2486
ref
141
ref
6571
remove
1729
ref
8275
remove
subst
appThm
6994
remove
936
ref
subst
trans
absThm
appThm
5058
remove
345
ref
1359
ref
39
ref
appTerm
8281
def
betaConv
1361
remove
nil
25
ref
1360
remove
nil
cons
cons
43
ref
8281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
1359
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
7438
remove
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
388
remove
8251
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
8217
ref
8252
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
683
remove
8199
remove
appTerm
8282
def
betaConv
686
remove
nil
687
remove
43
ref
8282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
688
remove
20
ref
8216
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
8217
remove
110
ref
8201
remove
cons
612
ref
8198
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
108
ref
8187
remove
cons
8251
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
3354
remove
8186
remove
appTerm
thm
nil
1454
ref
1417
ref
200
ref
38
ref
3398
remove
267
ref
141
ref
144
ref
3988
ref
66
ref
3990
remove
appTerm
8283
def
166
ref
35
ref
166
ref
449
ref
50
ref
66
ref
424
remove
appTerm
8284
def
3362
ref
142
ref
appTerm
8285
def
appTerm
8286
def
appTerm
52
ref
3388
ref
appTerm
460
ref
appTerm
8287
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
absTerm
8288
def
appTerm
8289
def
appTerm
8290
def
absTerm
8291
def
appTerm
8292
def
absTerm
8293
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
8292
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
8291
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
8290
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3403
ref
43
ref
8289
ref
nil
cons
8294
def
cons
nil
cons
8295
def
cons
nil
cons
cons
8296
def
140
ref
subst
8296
ref
76
ref
subst
8296
remove
107
ref
subst
141
ref
52
ref
4192
remove
appTerm
267
ref
400
ref
66
ref
8173
remove
appTerm
8297
def
66
ref
166
ref
35
ref
166
ref
449
ref
50
ref
66
ref
486
ref
appTerm
8298
def
66
ref
3362
remove
401
ref
appTerm
8299
def
appTerm
3388
ref
appTerm
8300
def
appTerm
8301
def
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
8302
def
1433
ref
1419
remove
401
ref
appTerm
8303
def
appTerm
8304
def
appTerm
8305
def
appTerm
absTerm
appTerm
appTerm
absTerm
8306
def
39
ref
appTerm
8307
def
betaConv
1345
ref
200
ref
141
ref
52
ref
4280
remove
3989
ref
appTerm
appTerm
267
ref
400
ref
8297
remove
8302
remove
1316
ref
2393
ref
appTerm
8303
remove
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
8308
def
1420
ref
appTerm
8309
def
betaConv
1417
ref
1858
ref
8308
ref
appTerm
8310
def
absTerm
8311
def
1418
ref
appTerm
8312
def
betaConv
nil
1430
ref
8311
ref
appTerm
8313
def
axiom
nil
25
ref
8313
remove
nil
cons
cons
43
ref
8312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
8311
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8310
remove
nil
cons
cons
43
ref
8309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1870
ref
1871
ref
8308
remove
nil
cons
cons
1872
ref
3422
ref
cons
nil
cons
8314
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
8306
ref
appTerm
nil
cons
cons
43
ref
8307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
8306
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
52
ref
4191
remove
1420
ref
appTerm
appTerm
267
ref
400
ref
66
ref
8172
remove
39
ref
appTerm
8315
def
appTerm
8316
def
8305
remove
appTerm
8317
def
absTerm
8318
def
appTerm
8319
def
appTerm
nil
cons
cons
8295
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
77
ref
3974
remove
6544
remove
subst
appThm
8319
ref
refl
appThm
nil
96
ref
8319
ref
nil
cons
cons
nil
cons
nil
cons
cons
1099
ref
subst
trans
appThm
8289
ref
refl
appThm
sym
nil
25
ref
200
ref
400
ref
50
ref
8317
ref
appTerm
66
ref
30
ref
401
ref
appTerm
8320
def
appTerm
8316
ref
66
ref
8304
ref
appTerm
166
ref
35
ref
166
ref
449
ref
50
ref
8298
remove
8299
ref
appTerm
8321
def
appTerm
8287
ref
appTerm
absTerm
8322
def
appTerm
absTerm
8323
def
appTerm
8324
def
appTerm
8325
def
appTerm
8326
def
appTerm
8327
def
appTerm
absTerm
8328
def
appTerm
8329
def
nil
cons
cons
8330
def
nil
cons
nil
cons
cons
2452
ref
subst
sym
nil
25
ref
419
ref
8329
remove
appTerm
8331
def
nil
cons
8332
def
cons
8333
def
510
ref
cons
nil
cons
cons
8334
def
76
ref
subst
8334
remove
107
ref
subst
2370
ref
7271
ref
subst
nil
25
ref
158
ref
1
ref
1
ref
1
ref
1293
ref
1280
ref
cons
opType
8335
def
4
ref
cons
opType
8336
def
4
ref
cons
opType
8337
def
constTerm
8338
def
"f"
8335
ref
var
8339
def
158
ref
1
ref
1
ref
5113
ref
4
ref
cons
opType
8340
def
4
ref
cons
opType
constTerm
8341
def
"s"
5113
ref
var
8342
def
50
ref
1858
ref
1872
ref
1858
ref
"y"
1293
ref
var
8343
def
50
ref
66
ref
420
remove
1
ref
1293
ref
8340
ref
nil
cons
cons
opType
constTerm
8344
def
2720
ref
appTerm
8342
ref
varTerm
8345
def
appTerm
appTerm
66
ref
8344
ref
8343
ref
varTerm
8346
def
appTerm
8345
ref
appTerm
appTerm
8347
def
1436
ref
8339
ref
varTerm
8348
def
2720
ref
appTerm
appTerm
8348
ref
8346
ref
appTerm
8349
def
appTerm
appTerm
appTerm
8350
def
appTerm
1316
ref
2720
ref
appTerm
8351
def
8346
ref
appTerm
8352
def
appTerm
absTerm
8353
def
appTerm
absTerm
8354
def
appTerm
8355
def
appTerm
52
ref
1321
ref
1400
remove
1
ref
8335
ref
5114
ref
nil
cons
8356
def
cons
opType
8357
def
constTerm
8348
ref
appTerm
8345
ref
appTerm
appTerm
8358
def
appTerm
0
remove
8340
remove
constTerm
8359
def
8345
ref
appTerm
8360
def
appTerm
8361
def
appTerm
absTerm
appTerm
absTerm
appTerm
8362
def
nil
cons
8363
def
cons
510
ref
cons
nil
cons
cons
8364
def
135
ref
subst
proveHyp
1352
ref
7271
ref
subst
nil
25
ref
4222
ref
4097
ref
1858
ref
1345
ref
50
ref
291
ref
1364
ref
291
remove
292
ref
50
ref
66
ref
1367
remove
2393
ref
appTerm
appTerm
66
ref
1384
remove
2393
ref
appTerm
appTerm
8365
def
1436
ref
4223
ref
1366
ref
appTerm
appTerm
4223
ref
294
ref
appTerm
8366
def
appTerm
appTerm
appTerm
8367
def
appTerm
1540
ref
appTerm
absTerm
8368
def
appTerm
absTerm
8369
def
appTerm
8370
def
appTerm
52
ref
4265
ref
appTerm
4264
ref
appTerm
8371
def
appTerm
absTerm
appTerm
absTerm
appTerm
8372
def
nil
cons
8373
def
cons
8374
def
43
ref
50
ref
8362
ref
appTerm
15
ref
appTerm
8375
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4388
ref
nil
cons
8376
def
23
ref
cons
7271
ref
subst
nil
25
ref
1976
ref
5117
ref
200
ref
38
ref
50
ref
166
ref
35
ref
166
ref
449
ref
50
ref
1440
ref
3367
ref
1316
ref
5120
remove
appTerm
5118
ref
454
ref
appTerm
8377
def
appTerm
appTerm
appTerm
8378
def
appTerm
460
ref
appTerm
absTerm
8379
def
appTerm
absTerm
8380
def
appTerm
8381
def
appTerm
52
ref
8359
remove
5119
remove
appTerm
8382
def
appTerm
44
ref
appTerm
8383
def
appTerm
absTerm
appTerm
absTerm
appTerm
8384
def
nil
cons
8385
def
cons
8386
def
43
ref
50
ref
8372
ref
appTerm
8387
def
8375
remove
appTerm
8388
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
7271
ref
nil
25
ref
7272
ref
nil
cons
8389
def
cons
8390
def
43
ref
50
ref
8384
ref
appTerm
8391
def
8388
remove
appTerm
8392
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4244
remove
7271
remove
subst
nil
25
ref
4246
ref
4247
ref
200
ref
38
ref
50
ref
166
ref
35
ref
166
ref
449
ref
50
ref
1440
remove
3367
ref
458
ref
4248
ref
36
ref
appTerm
appTerm
4248
ref
454
ref
appTerm
8393
def
appTerm
appTerm
appTerm
8394
def
appTerm
460
ref
appTerm
absTerm
8395
def
appTerm
absTerm
8396
def
appTerm
8397
def
appTerm
52
ref
4274
ref
appTerm
44
ref
appTerm
8398
def
appTerm
absTerm
appTerm
absTerm
appTerm
8399
def
nil
cons
8400
def
cons
8401
def
43
ref
50
ref
7272
ref
appTerm
8402
def
8392
remove
appTerm
8403
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8333
ref
43
ref
50
ref
8399
ref
appTerm
8404
def
8403
remove
appTerm
8405
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
3403
ref
43
ref
50
ref
8331
ref
appTerm
8406
def
8405
remove
appTerm
8407
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
38
ref
3405
ref
8407
remove
appTerm
absTerm
8408
def
39
ref
appTerm
8409
def
betaConv
1417
ref
200
ref
8408
ref
appTerm
8410
def
absTerm
8411
def
1418
ref
appTerm
8412
def
betaConv
1431
ref
1417
ref
205
ref
38
ref
3405
ref
refl
8406
ref
refl
8404
ref
refl
8402
ref
refl
8391
ref
refl
8387
ref
refl
nil
96
ref
8363
ref
cons
nil
cons
nil
cons
cons
517
ref
subst
8413
def
appThm
appThm
appThm
appThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
1454
ref
1417
ref
200
ref
38
ref
3405
ref
8406
remove
8404
remove
8402
remove
8391
remove
8387
remove
419
ref
8362
ref
appTerm
8414
def
appTerm
8415
def
appTerm
8416
def
appTerm
8417
def
appTerm
8418
def
appTerm
8419
def
appTerm
8420
def
absTerm
8421
def
appTerm
8422
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
8422
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
8421
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
8420
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
3403
ref
43
ref
8419
remove
nil
cons
8423
def
cons
nil
cons
cons
nil
cons
cons
8424
def
76
ref
subst
8424
remove
107
ref
subst
nil
8333
remove
43
ref
8418
remove
nil
cons
8425
def
cons
nil
cons
cons
nil
cons
cons
8426
def
76
ref
subst
8426
remove
107
ref
subst
nil
8401
remove
43
ref
8417
remove
nil
cons
8427
def
cons
nil
cons
cons
nil
cons
cons
8428
def
76
ref
subst
8428
remove
107
ref
subst
nil
8390
remove
43
ref
8416
remove
nil
cons
8429
def
cons
nil
cons
cons
nil
cons
cons
8430
def
76
ref
subst
8430
remove
107
ref
subst
nil
8386
remove
43
ref
8415
remove
nil
cons
8431
def
cons
nil
cons
cons
nil
cons
cons
8432
def
76
ref
subst
8432
remove
107
ref
subst
nil
8374
remove
43
ref
8414
remove
nil
cons
8433
def
cons
nil
cons
cons
nil
cons
cons
8434
def
76
ref
subst
8434
remove
107
ref
subst
8413
remove
8364
ref
76
ref
subst
8364
remove
107
ref
subst
8338
ref
refl
8435
def
8339
ref
8341
ref
refl
8436
def
8342
ref
nil
25
ref
8355
remove
nil
cons
cons
43
ref
8361
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
1871
ref
8354
ref
nil
cons
cons
nil
cons
nil
cons
cons
2487
ref
subst
2488
ref
1872
ref
518
ref
8354
remove
2720
ref
appTerm
betaConv
appThm
nil
1871
remove
8353
ref
nil
cons
cons
nil
cons
nil
cons
cons
2487
remove
subst
2488
ref
8343
ref
518
ref
8353
remove
8346
ref
appTerm
betaConv
appThm
nil
25
ref
8350
ref
nil
cons
cons
43
ref
8352
ref
nil
cons
8437
def
cons
nil
cons
cons
nil
cons
cons
5949
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
25
ref
8358
ref
nil
cons
cons
43
ref
8360
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4336
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
8435
ref
8339
ref
8436
ref
8342
ref
77
ref
1255
ref
2488
ref
1872
ref
1872
ref
1923
ref
8343
ref
66
ref
8350
remove
appTerm
419
ref
8352
remove
appTerm
8438
def
appTerm
8439
def
absTerm
8440
def
appTerm
absTerm
8441
def
2720
ref
appTerm
betaConv
8442
def
absThm
appThm
appThm
153
ref
1255
ref
8358
ref
refl
appThm
419
ref
8360
ref
appTerm
8443
def
refl
appThm
appThm
1255
ref
419
ref
8358
ref
appTerm
8444
def
refl
appThm
8360
ref
refl
appThm
appThm
8445
def
appThm
appThm
2488
ref
1872
ref
1255
ref
8442
remove
appThm
8445
ref
appThm
absThm
appThm
appThm
nil
3713
ref
8441
remove
nil
cons
cons
43
ref
66
ref
456
ref
8358
remove
appTerm
8443
remove
appTerm
appTerm
456
ref
8444
remove
appTerm
8360
remove
appTerm
appTerm
8446
def
nil
cons
cons
nil
cons
8447
def
cons
nil
cons
cons
2370
ref
43
ref
52
ref
4623
remove
55
ref
appTerm
appTerm
238
ref
35
ref
4621
remove
55
ref
appTerm
absTerm
appTerm
appTerm
absTerm
8448
def
55
ref
appTerm
8449
def
betaConv
175
ref
159
ref
8448
ref
appTerm
8450
def
absTerm
8451
def
177
ref
appTerm
8452
def
betaConv
nil
354
ref
8451
ref
appTerm
8453
def
axiom
nil
25
ref
8453
remove
nil
cons
cons
43
ref
8452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
ref
362
ref
8451
remove
nil
cons
cons
1213
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8450
remove
nil
cons
cons
43
ref
8449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
8448
remove
nil
cons
cons
335
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
8454
def
subst
8455
def
subst
eqMp
2488
ref
1872
ref
77
ref
1255
ref
2488
ref
8343
ref
8440
ref
8346
ref
appTerm
betaConv
8456
def
absThm
appThm
appThm
8445
ref
appThm
appThm
2488
ref
8343
ref
1255
ref
8456
remove
appThm
8445
remove
appThm
absThm
appThm
appThm
nil
3713
ref
8440
remove
nil
cons
cons
8447
remove
cons
nil
cons
cons
8455
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
77
ref
8436
ref
8342
ref
2488
ref
1872
ref
8342
ref
1872
ref
1923
ref
8343
ref
456
ref
8439
remove
appTerm
8446
ref
appTerm
absTerm
appTerm
absTerm
8457
def
absTerm
8458
def
8345
ref
appTerm
betaConv
8459
def
2720
ref
refl
appThm
8457
ref
2720
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
5114
ref
4
ref
cons
opType
8460
def
4
ref
cons
opType
constTerm
8461
def
refl
8462
def
"f"
5114
ref
var
8463
def
8436
ref
8342
ref
8459
remove
8463
ref
varTerm
8464
def
8345
ref
appTerm
8465
def
refl
appThm
8457
remove
8465
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
5113
remove
1314
ref
cons
opType
var
8466
def
8458
remove
nil
cons
cons
nil
cons
nil
cons
cons
4388
remove
"A"
5116
remove
cons
nil
cons
cons
23
ref
cons
4395
ref
subst
8467
def
subst
eqMp
8462
ref
8463
ref
77
ref
8436
ref
8342
ref
2488
ref
8343
ref
8342
ref
8343
ref
456
ref
66
ref
66
ref
8344
ref
8465
ref
appTerm
8345
ref
appTerm
appTerm
8468
def
8347
remove
1436
ref
8348
ref
8465
ref
appTerm
appTerm
8469
def
8349
remove
appTerm
appTerm
appTerm
appTerm
419
ref
1316
ref
8465
remove
appTerm
8470
def
8346
ref
appTerm
appTerm
appTerm
appTerm
8446
ref
appTerm
absTerm
8471
def
absTerm
8472
def
8345
ref
appTerm
betaConv
8473
def
8346
ref
refl
appThm
8471
ref
8346
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8462
ref
"f'"
5114
remove
var
8474
def
8436
remove
8342
ref
8473
remove
8474
ref
varTerm
8475
def
8345
ref
appTerm
8476
def
refl
appThm
8471
remove
8476
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8466
remove
8472
remove
nil
cons
cons
nil
cons
nil
cons
cons
8467
remove
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
77
ref
8435
ref
8339
ref
8462
ref
8463
ref
8339
ref
8463
remove
8461
remove
8474
ref
8341
ref
8342
ref
456
ref
66
ref
8468
remove
66
ref
8344
ref
8476
ref
appTerm
8345
ref
appTerm
appTerm
8477
def
8469
remove
8348
ref
8476
ref
appTerm
8478
def
appTerm
appTerm
appTerm
appTerm
419
ref
8470
remove
8476
ref
appTerm
appTerm
appTerm
appTerm
8446
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8479
def
absTerm
8480
def
8348
ref
appTerm
betaConv
8481
def
8464
ref
refl
appThm
8479
ref
8464
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
8357
ref
4
ref
cons
opType
8482
def
4
ref
cons
opType
8483
def
constTerm
8484
def
refl
8485
def
"f"
8357
ref
var
8486
def
8435
ref
8339
ref
8481
remove
8486
ref
varTerm
8348
ref
appTerm
8487
def
refl
appThm
8479
remove
8487
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
8335
ref
8460
remove
nil
cons
cons
opType
var
8488
def
8480
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
8356
remove
cons
"A"
8335
ref
nil
cons
8489
def
cons
nil
cons
cons
23
ref
cons
4395
ref
subst
8490
def
subst
eqMp
8485
ref
8486
ref
77
ref
8435
ref
8339
ref
8462
remove
8474
ref
8339
ref
8474
remove
8341
ref
8342
ref
456
ref
66
ref
66
ref
8344
ref
8487
remove
8345
ref
appTerm
8491
def
appTerm
8345
ref
appTerm
appTerm
8492
def
8477
remove
1436
ref
8348
ref
8491
ref
appTerm
appTerm
8493
def
8478
remove
appTerm
appTerm
appTerm
appTerm
419
ref
1316
ref
8491
remove
appTerm
8494
def
8476
remove
appTerm
appTerm
appTerm
appTerm
8446
ref
appTerm
absTerm
appTerm
absTerm
8495
def
absTerm
8496
def
8348
ref
appTerm
betaConv
8497
def
8475
ref
refl
appThm
8495
ref
8475
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8485
remove
"f'"
8357
ref
var
8498
def
8435
remove
8339
ref
8497
remove
8498
ref
varTerm
8499
def
8348
ref
appTerm
8500
def
refl
appThm
8495
remove
8500
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8488
remove
8496
remove
nil
cons
cons
nil
cons
nil
cons
cons
8490
remove
subst
eqMp
absThm
appThm
trans
trans
trans
8362
remove
assume
eqMp
nil
25
ref
8484
ref
8486
remove
8484
ref
8498
ref
8338
ref
8339
ref
8341
ref
8342
ref
456
ref
66
ref
8492
remove
66
ref
8344
ref
8500
remove
8345
ref
appTerm
8501
def
appTerm
8345
ref
appTerm
appTerm
8502
def
8493
remove
8348
ref
8501
ref
appTerm
8503
def
appTerm
appTerm
appTerm
appTerm
419
ref
8494
remove
8501
ref
appTerm
appTerm
appTerm
appTerm
8446
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8504
def
appTerm
8505
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
8482
remove
var
8506
def
8498
ref
50
ref
8504
ref
8499
remove
appTerm
8507
def
appTerm
15
ref
appTerm
8508
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8357
ref
nil
cons
cons
nil
cons
8509
def
23
ref
cons
252
ref
subst
8510
def
subst
8498
remove
nil
96
ref
8508
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8507
ref
nil
cons
8511
def
cons
510
ref
cons
nil
cons
cons
8512
def
76
ref
subst
8512
remove
107
ref
subst
8507
ref
betaConv
8507
remove
assume
eqMp
nil
25
ref
8484
remove
"f''"
8357
ref
var
8513
def
8338
remove
8339
ref
8341
remove
8342
remove
456
ref
66
ref
8502
remove
66
ref
8344
remove
8513
ref
varTerm
8514
def
8348
ref
appTerm
8345
ref
appTerm
8515
def
appTerm
8345
remove
appTerm
appTerm
1436
ref
8503
remove
appTerm
8348
ref
8515
ref
appTerm
appTerm
appTerm
appTerm
appTerm
419
ref
1316
ref
8501
remove
appTerm
8515
remove
appTerm
appTerm
appTerm
appTerm
8446
remove
appTerm
absTerm
appTerm
absTerm
appTerm
8516
def
absTerm
8517
def
appTerm
8518
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8506
ref
8513
ref
50
ref
8517
ref
8514
remove
appTerm
8519
def
appTerm
15
ref
appTerm
8520
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8510
remove
subst
8513
remove
nil
96
ref
8520
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8519
ref
nil
cons
8521
def
cons
510
ref
cons
nil
cons
cons
8522
def
76
ref
subst
8522
remove
107
ref
subst
8519
ref
betaConv
8519
remove
assume
eqMp
nil
25
ref
8516
remove
nil
cons
8523
def
cons
510
ref
cons
nil
cons
cons
8524
def
135
ref
subst
proveHyp
8524
ref
76
ref
subst
8524
remove
107
ref
subst
4316
ref
4097
ref
1936
ref
1345
ref
nil
25
ref
8370
remove
nil
cons
cons
43
ref
8371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
1374
ref
8369
ref
nil
cons
cons
nil
cons
nil
cons
cons
1352
ref
2484
ref
subst
8525
def
subst
1462
ref
1364
ref
518
ref
8369
remove
1366
ref
appTerm
betaConv
appThm
nil
1374
remove
8368
ref
nil
cons
cons
nil
cons
nil
cons
cons
8525
remove
subst
1462
ref
292
ref
518
ref
8368
remove
294
ref
appTerm
betaConv
appThm
nil
25
ref
8367
ref
nil
cons
cons
43
ref
1540
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5949
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
25
ref
4265
ref
nil
cons
cons
43
ref
4264
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4336
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
4316
ref
4097
ref
1936
ref
1345
ref
77
ref
1255
ref
1462
ref
1364
ref
1364
ref
1363
ref
292
ref
66
ref
8367
remove
appTerm
419
ref
1540
remove
appTerm
appTerm
8526
def
absTerm
8527
def
appTerm
absTerm
8528
def
1366
ref
appTerm
betaConv
8529
def
absThm
appThm
appThm
153
ref
1255
ref
4265
ref
refl
appThm
419
ref
4264
ref
appTerm
8530
def
refl
appThm
appThm
1255
ref
419
ref
4265
ref
appTerm
8531
def
refl
appThm
4264
ref
refl
appThm
appThm
8532
def
appThm
appThm
1462
ref
1364
ref
1255
ref
8529
remove
appThm
8532
ref
appThm
absThm
appThm
appThm
nil
1530
ref
8528
remove
nil
cons
cons
43
ref
66
ref
456
ref
4265
remove
appTerm
8530
remove
appTerm
appTerm
456
ref
8531
remove
appTerm
4264
remove
appTerm
appTerm
8533
def
nil
cons
cons
nil
cons
8534
def
cons
nil
cons
cons
1352
remove
8454
ref
subst
8535
def
subst
eqMp
1462
ref
1364
ref
77
ref
1255
ref
1462
ref
292
ref
8527
ref
294
ref
appTerm
betaConv
8536
def
absThm
appThm
appThm
8532
ref
appThm
appThm
1462
ref
292
ref
1255
ref
8536
remove
appThm
8532
remove
appThm
absThm
appThm
appThm
nil
1530
remove
8527
remove
nil
cons
cons
8534
remove
cons
nil
cons
cons
8535
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
77
ref
1936
ref
1345
ref
1462
ref
1364
ref
1345
ref
1364
remove
1363
remove
292
ref
456
ref
8526
remove
appTerm
8533
ref
appTerm
absTerm
appTerm
absTerm
8537
def
absTerm
8538
def
2393
ref
appTerm
betaConv
8539
def
1366
ref
refl
appThm
8537
ref
1366
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
8337
remove
constTerm
8540
def
refl
8541
def
8339
ref
1936
ref
1345
ref
8539
remove
8348
ref
2393
ref
appTerm
8542
def
refl
appThm
8537
remove
8542
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
1293
ref
287
remove
cons
opType
var
8543
def
8538
remove
nil
cons
cons
nil
cons
nil
cons
cons
1893
remove
1870
remove
cons
23
ref
cons
4395
ref
subst
8544
def
subst
eqMp
8541
ref
8339
ref
77
ref
1936
ref
1345
ref
1462
remove
292
ref
1345
ref
292
remove
456
ref
66
ref
66
ref
1365
ref
8542
ref
appTerm
2393
ref
appTerm
appTerm
8545
def
8365
remove
1436
ref
4223
ref
8542
ref
appTerm
appTerm
8546
def
8366
remove
appTerm
appTerm
appTerm
appTerm
419
ref
1436
ref
8542
remove
appTerm
8547
def
294
ref
appTerm
appTerm
appTerm
appTerm
8533
ref
appTerm
absTerm
8548
def
absTerm
8549
def
2393
ref
appTerm
betaConv
8550
def
2314
remove
appThm
8548
ref
294
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8541
ref
"f'"
8335
remove
var
8551
def
1936
remove
1345
ref
8550
remove
8551
ref
varTerm
8552
def
2393
ref
appTerm
8553
def
refl
appThm
8548
remove
8553
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8543
remove
8549
remove
nil
cons
cons
nil
cons
nil
cons
cons
8544
remove
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
77
ref
4316
ref
4097
ref
8541
ref
8339
ref
4097
ref
8339
remove
8540
remove
8551
ref
1858
ref
1345
ref
456
ref
66
ref
8545
remove
66
ref
1365
ref
8553
ref
appTerm
2393
ref
appTerm
appTerm
8554
def
8546
remove
4223
ref
8553
ref
appTerm
8555
def
appTerm
appTerm
appTerm
appTerm
419
ref
8547
remove
8553
ref
appTerm
appTerm
appTerm
appTerm
8533
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8556
def
absTerm
8557
def
4223
ref
appTerm
betaConv
8558
def
8348
ref
refl
appThm
8556
ref
8348
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
3225
ref
8489
ref
cons
opType
8559
def
4
ref
cons
opType
8560
def
4
ref
cons
opType
8561
def
constTerm
8562
def
refl
8563
def
"f"
8559
ref
var
8564
def
4316
ref
4097
ref
8558
remove
8564
ref
varTerm
4223
ref
appTerm
8565
def
refl
appThm
8556
remove
8565
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
3225
remove
8336
remove
nil
cons
cons
opType
var
8566
def
8557
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
8489
remove
cons
4366
remove
cons
23
ref
cons
4395
ref
subst
8567
def
subst
eqMp
8563
ref
8564
ref
77
ref
4316
ref
4097
ref
8541
remove
8551
ref
4097
ref
8551
remove
1858
ref
1345
ref
456
ref
66
ref
66
ref
1365
ref
8565
remove
2393
ref
appTerm
8568
def
appTerm
2393
ref
appTerm
appTerm
8569
def
8554
remove
1436
ref
4223
ref
8568
ref
appTerm
appTerm
8570
def
8555
remove
appTerm
appTerm
appTerm
appTerm
419
ref
1436
ref
8568
remove
appTerm
8571
def
8553
remove
appTerm
appTerm
appTerm
appTerm
8533
ref
appTerm
absTerm
appTerm
absTerm
8572
def
absTerm
8573
def
4223
ref
appTerm
betaConv
8574
def
8552
ref
refl
appThm
8572
ref
8552
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8563
remove
"f'"
8559
ref
var
8575
def
4316
remove
4097
ref
8574
remove
8575
ref
varTerm
4223
ref
appTerm
8576
def
refl
appThm
8572
remove
8576
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8566
remove
8573
remove
nil
cons
cons
nil
cons
nil
cons
cons
8567
remove
subst
eqMp
absThm
appThm
trans
trans
trans
8372
remove
assume
eqMp
nil
25
ref
8562
ref
8564
remove
8562
ref
8575
ref
4222
ref
4097
ref
1858
ref
1345
ref
456
ref
66
ref
8569
remove
66
ref
1365
ref
8576
remove
2393
ref
appTerm
8577
def
appTerm
2393
ref
appTerm
appTerm
8578
def
8570
remove
4223
ref
8577
ref
appTerm
8579
def
appTerm
appTerm
appTerm
appTerm
419
ref
8571
remove
8577
ref
appTerm
appTerm
appTerm
appTerm
8533
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8580
def
appTerm
8581
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
8560
remove
var
8582
def
"f'''"
8559
ref
var
8583
def
50
ref
8580
ref
8583
ref
varTerm
8584
def
appTerm
8585
def
appTerm
15
ref
appTerm
8586
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8559
ref
nil
cons
cons
nil
cons
8587
def
23
ref
cons
252
ref
subst
8588
def
subst
8583
remove
nil
96
ref
8586
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8585
ref
nil
cons
8589
def
cons
510
ref
cons
nil
cons
cons
8590
def
76
ref
subst
8590
remove
107
ref
subst
8585
ref
betaConv
8585
remove
assume
eqMp
nil
25
ref
8562
remove
8575
remove
4222
ref
4097
ref
1858
ref
1345
ref
456
ref
66
ref
66
ref
1365
ref
8584
remove
4223
ref
appTerm
2393
ref
appTerm
8591
def
appTerm
2393
ref
appTerm
appTerm
8592
def
8578
remove
1436
ref
4223
ref
8591
ref
appTerm
appTerm
8593
def
8579
remove
appTerm
appTerm
appTerm
appTerm
419
ref
1436
ref
8591
remove
appTerm
8594
def
8577
remove
appTerm
appTerm
appTerm
appTerm
8533
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8595
def
appTerm
8596
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8582
ref
"f''''"
8559
ref
var
8597
def
50
ref
8595
ref
8597
ref
varTerm
8598
def
appTerm
8599
def
appTerm
15
ref
appTerm
8600
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8588
remove
subst
8597
remove
nil
96
ref
8600
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8599
ref
nil
cons
8601
def
cons
510
ref
cons
nil
cons
cons
8602
def
76
ref
subst
8602
remove
107
ref
subst
8599
ref
betaConv
8599
remove
assume
eqMp
nil
25
ref
4222
remove
4097
remove
1858
remove
1345
remove
456
ref
66
ref
8592
remove
66
ref
1365
remove
8598
remove
4223
ref
appTerm
2393
ref
appTerm
8603
def
appTerm
2393
remove
appTerm
appTerm
8593
remove
4223
remove
8603
ref
appTerm
appTerm
appTerm
appTerm
appTerm
419
ref
8594
remove
8603
remove
appTerm
appTerm
appTerm
appTerm
8533
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
8604
def
cons
510
ref
cons
nil
cons
cons
8605
def
135
ref
subst
proveHyp
8605
ref
76
ref
subst
8605
remove
107
ref
subst
2046
ref
5117
ref
205
ref
38
ref
nil
25
ref
8381
remove
nil
cons
cons
43
ref
8383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
167
ref
8380
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
ref
subst
1463
ref
35
ref
518
ref
8380
remove
36
ref
appTerm
betaConv
appThm
nil
167
ref
8379
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
ref
subst
1463
ref
449
ref
518
ref
8379
remove
454
ref
appTerm
betaConv
appThm
nil
25
ref
8378
ref
nil
cons
cons
3378
ref
cons
nil
cons
cons
5949
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
25
ref
8382
ref
nil
cons
cons
46
ref
cons
nil
cons
cons
4336
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
2046
ref
5117
ref
205
ref
38
ref
77
ref
1255
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
66
ref
8378
remove
appTerm
6224
ref
appTerm
8606
def
absTerm
8607
def
appTerm
absTerm
8608
def
36
ref
appTerm
betaConv
8609
def
absThm
appThm
appThm
153
ref
1255
ref
8382
ref
refl
appThm
2604
ref
appThm
appThm
1255
ref
419
ref
8382
ref
appTerm
8610
def
refl
appThm
374
ref
appThm
appThm
8611
def
appThm
appThm
1463
ref
35
ref
1255
ref
8609
remove
appThm
8611
ref
appThm
absThm
appThm
appThm
nil
175
ref
8608
remove
nil
cons
cons
43
ref
66
ref
456
ref
8382
remove
appTerm
773
ref
appTerm
appTerm
456
ref
8610
remove
appTerm
44
ref
appTerm
appTerm
8612
def
nil
cons
cons
nil
cons
8613
def
cons
nil
cons
cons
8454
ref
subst
eqMp
1463
ref
35
ref
77
ref
1255
ref
1463
ref
449
ref
8607
ref
454
ref
appTerm
betaConv
8614
def
absThm
appThm
appThm
8611
ref
appThm
appThm
1463
ref
449
ref
1255
ref
8614
remove
appThm
8611
remove
appThm
absThm
appThm
appThm
nil
175
ref
8607
remove
nil
cons
cons
8613
remove
cons
nil
cons
cons
8454
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
77
ref
205
ref
38
ref
1463
ref
35
ref
38
ref
35
ref
238
ref
449
ref
456
ref
8606
remove
appTerm
8612
ref
appTerm
absTerm
appTerm
absTerm
8615
def
absTerm
8616
def
39
ref
appTerm
betaConv
8617
def
184
ref
appThm
8615
ref
36
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
28
ref
27
ref
cons
opType
8618
def
4
ref
cons
opType
8619
def
4
ref
cons
opType
constTerm
8620
def
refl
8621
def
"f"
8618
ref
var
8622
def
205
ref
38
ref
8617
remove
8622
ref
varTerm
8623
def
39
ref
appTerm
8624
def
refl
8625
def
appThm
8615
remove
8624
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
28
ref
359
remove
cons
opType
var
8626
def
8616
remove
nil
cons
cons
nil
cons
nil
cons
cons
1276
remove
217
ref
cons
23
ref
cons
4395
ref
subst
8627
def
subst
eqMp
8621
ref
8622
ref
77
ref
205
ref
38
ref
1463
ref
449
ref
38
ref
449
ref
456
ref
66
ref
66
ref
422
ref
8624
ref
appTerm
39
ref
appTerm
appTerm
8628
def
3367
ref
1316
ref
5118
ref
8624
ref
appTerm
appTerm
8629
def
8377
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8624
ref
appTerm
8630
def
454
ref
appTerm
appTerm
8631
def
appTerm
appTerm
8612
ref
appTerm
absTerm
8632
def
absTerm
8633
def
39
ref
appTerm
betaConv
8634
def
6239
ref
appThm
8632
ref
454
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8621
ref
"f'"
8618
ref
var
8635
def
205
ref
38
ref
8634
remove
8635
ref
varTerm
8636
def
39
ref
appTerm
8637
def
refl
8638
def
appThm
8632
remove
8637
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8626
ref
8633
remove
nil
cons
cons
nil
cons
nil
cons
cons
8627
ref
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
77
ref
2046
ref
5117
ref
8621
ref
8622
ref
5117
ref
8622
ref
8620
ref
8635
ref
200
ref
38
ref
456
ref
66
ref
8628
ref
66
ref
422
ref
8637
ref
appTerm
39
ref
appTerm
appTerm
8639
def
8629
remove
5118
ref
8637
ref
appTerm
8640
def
appTerm
appTerm
appTerm
appTerm
419
ref
8630
remove
8637
ref
appTerm
appTerm
8641
def
appTerm
appTerm
8612
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8642
def
absTerm
8643
def
5118
ref
appTerm
betaConv
8644
def
8623
ref
refl
8645
def
appThm
8642
ref
8623
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
1960
ref
8618
ref
nil
cons
8646
def
cons
opType
8647
def
4
ref
cons
opType
8648
def
4
ref
cons
opType
8649
def
constTerm
8650
def
refl
8651
def
"f"
8647
ref
var
8652
def
2046
ref
5117
ref
8644
remove
8652
ref
varTerm
5118
ref
appTerm
8653
def
refl
appThm
8642
remove
8653
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
1960
remove
8619
remove
nil
cons
8654
def
cons
opType
var
8655
def
8643
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
8646
ref
cons
8656
def
2014
remove
cons
23
ref
cons
4395
ref
subst
8657
def
subst
eqMp
8651
ref
8652
ref
77
ref
2046
ref
5117
ref
8621
ref
8635
ref
5117
ref
8635
ref
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8653
remove
39
ref
appTerm
8658
def
appTerm
39
ref
appTerm
appTerm
8659
def
8639
ref
1316
ref
5118
ref
8658
ref
appTerm
appTerm
8660
def
8640
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8658
remove
appTerm
8661
def
8637
ref
appTerm
appTerm
appTerm
appTerm
8612
ref
appTerm
absTerm
appTerm
absTerm
8662
def
absTerm
8663
def
5118
ref
appTerm
betaConv
8664
def
8636
ref
refl
8665
def
appThm
8662
ref
8636
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8651
remove
"f'"
8647
ref
var
8666
def
2046
remove
5117
ref
8664
remove
8666
ref
varTerm
5118
ref
appTerm
8667
def
refl
appThm
8662
remove
8667
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8655
remove
8663
remove
nil
cons
cons
nil
cons
nil
cons
cons
8657
remove
subst
eqMp
absThm
appThm
trans
trans
trans
8384
remove
assume
eqMp
nil
25
ref
8650
ref
8652
remove
8650
ref
8666
ref
1976
ref
5117
ref
200
ref
38
ref
456
ref
66
ref
8659
remove
66
ref
422
ref
8667
remove
39
ref
appTerm
8668
def
appTerm
39
ref
appTerm
appTerm
8669
def
8660
remove
5118
ref
8668
ref
appTerm
8670
def
appTerm
appTerm
appTerm
appTerm
419
ref
8661
remove
8668
ref
appTerm
appTerm
appTerm
appTerm
8612
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8671
def
appTerm
8672
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
8648
remove
var
8673
def
"f'''''"
8647
ref
var
8674
def
50
ref
8671
ref
8674
ref
varTerm
8675
def
appTerm
8676
def
appTerm
15
ref
appTerm
8677
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8647
ref
nil
cons
cons
nil
cons
8678
def
23
ref
cons
252
ref
subst
8679
def
subst
8674
remove
nil
96
ref
8677
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8676
ref
nil
cons
8680
def
cons
510
ref
cons
nil
cons
cons
8681
def
76
ref
subst
8681
remove
107
ref
subst
8676
ref
betaConv
8676
remove
assume
eqMp
nil
25
ref
8650
remove
8666
remove
1976
ref
5117
ref
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8675
remove
5118
ref
appTerm
39
ref
appTerm
8682
def
appTerm
39
ref
appTerm
appTerm
8683
def
8669
remove
1316
ref
5118
ref
8682
ref
appTerm
appTerm
8684
def
8670
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8682
remove
appTerm
8685
def
8668
remove
appTerm
appTerm
appTerm
appTerm
8612
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8686
def
appTerm
8687
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8673
ref
"f''''''"
8647
ref
var
8688
def
50
ref
8686
ref
8688
ref
varTerm
8689
def
appTerm
8690
def
appTerm
15
ref
appTerm
8691
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8679
remove
subst
8688
remove
nil
96
ref
8691
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8690
ref
nil
cons
8692
def
cons
510
ref
cons
nil
cons
cons
8693
def
76
ref
subst
8693
remove
107
ref
subst
8690
ref
betaConv
8690
remove
assume
eqMp
nil
25
ref
1976
remove
5117
remove
200
ref
38
ref
456
ref
66
ref
8683
remove
66
ref
422
ref
8689
remove
5118
ref
appTerm
39
ref
appTerm
8694
def
appTerm
39
ref
appTerm
appTerm
8684
remove
5118
remove
8694
ref
appTerm
appTerm
appTerm
appTerm
appTerm
419
ref
8685
remove
8694
remove
appTerm
appTerm
appTerm
appTerm
8612
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
8695
def
cons
510
ref
cons
nil
cons
cons
8696
def
135
ref
subst
proveHyp
8696
ref
76
ref
subst
8696
remove
107
ref
subst
1431
ref
1417
ref
205
ref
38
ref
3401
remove
5967
ref
subst
1255
ref
3977
remove
2484
ref
subst
1463
ref
35
ref
518
ref
6518
remove
appThm
3980
remove
2484
ref
subst
1463
ref
449
ref
518
ref
6516
remove
appThm
3983
remove
5949
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
3404
remove
4336
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
1431
ref
1417
ref
205
ref
38
ref
77
ref
1255
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
66
ref
3390
remove
appTerm
6224
ref
appTerm
8697
def
absTerm
8698
def
appTerm
absTerm
8699
def
36
ref
appTerm
betaConv
8700
def
absThm
appThm
appThm
153
ref
1255
ref
4601
remove
appThm
2604
ref
appThm
appThm
1255
ref
4607
ref
appThm
374
ref
appThm
appThm
8701
def
appThm
appThm
1463
ref
35
ref
1255
ref
8700
remove
appThm
8701
ref
appThm
absThm
appThm
appThm
nil
175
ref
8699
remove
nil
cons
cons
43
ref
66
ref
456
ref
1421
ref
appTerm
773
ref
appTerm
appTerm
456
ref
4606
ref
appTerm
44
ref
appTerm
appTerm
8702
def
nil
cons
cons
nil
cons
8703
def
cons
nil
cons
cons
8454
ref
subst
eqMp
1463
ref
35
ref
77
ref
1255
ref
1463
ref
449
ref
8698
ref
454
ref
appTerm
betaConv
8704
def
absThm
appThm
appThm
8701
ref
appThm
appThm
1463
ref
449
ref
1255
ref
8704
remove
appThm
8701
remove
appThm
absThm
appThm
appThm
nil
175
ref
8698
remove
nil
cons
cons
8703
remove
cons
nil
cons
cons
8454
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
77
ref
205
ref
38
ref
1463
ref
35
ref
38
ref
35
ref
238
ref
449
ref
456
ref
8697
remove
appTerm
8702
ref
appTerm
absTerm
appTerm
absTerm
8705
def
absTerm
8706
def
39
ref
appTerm
betaConv
8707
def
184
ref
appThm
8705
ref
36
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8621
ref
8622
ref
205
ref
38
ref
8707
remove
8625
ref
appThm
8705
remove
8624
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8626
ref
8706
remove
nil
cons
cons
nil
cons
nil
cons
cons
8627
ref
subst
eqMp
8621
ref
8622
ref
77
ref
205
ref
38
ref
1463
ref
449
ref
38
ref
449
ref
456
ref
66
ref
8628
ref
3367
ref
1436
ref
1418
ref
8624
ref
appTerm
appTerm
8708
def
3387
remove
appTerm
appTerm
appTerm
appTerm
8631
ref
appTerm
appTerm
8702
ref
appTerm
absTerm
8709
def
absTerm
8710
def
39
ref
appTerm
betaConv
8711
def
6239
ref
appThm
8709
ref
454
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8621
ref
8635
ref
205
ref
38
ref
8711
remove
8638
ref
appThm
8709
remove
8637
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8626
ref
8710
remove
nil
cons
cons
nil
cons
nil
cons
cons
8627
ref
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
77
ref
1431
ref
1417
ref
8621
ref
8622
ref
1417
ref
8622
ref
8620
ref
8635
ref
200
ref
38
ref
456
ref
66
ref
8628
ref
8639
ref
8708
remove
1418
ref
8637
ref
appTerm
8712
def
appTerm
appTerm
appTerm
appTerm
8641
ref
appTerm
appTerm
8702
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8713
def
absTerm
8714
def
1418
ref
appTerm
betaConv
8715
def
8645
ref
appThm
8713
ref
8623
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
ref
1
ref
1
ref
1
ref
1411
ref
8646
ref
cons
opType
8716
def
4
ref
cons
opType
8717
def
4
ref
cons
opType
8718
def
constTerm
8719
def
refl
8720
def
"f"
8716
ref
var
8721
def
1431
ref
1417
ref
8715
remove
8721
ref
varTerm
1418
ref
appTerm
8722
def
refl
appThm
8713
remove
8722
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
1411
ref
8654
ref
cons
opType
var
8723
def
8714
remove
nil
cons
cons
nil
cons
nil
cons
cons
8656
ref
1453
ref
cons
23
ref
cons
4395
ref
subst
8724
def
subst
eqMp
8720
ref
8721
ref
77
ref
1431
ref
1417
ref
8621
ref
8635
ref
1417
ref
8635
ref
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8722
remove
39
ref
appTerm
8725
def
appTerm
39
ref
appTerm
appTerm
8726
def
8639
ref
1436
ref
1418
ref
8725
ref
appTerm
appTerm
8727
def
8712
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8725
remove
appTerm
8728
def
8637
ref
appTerm
appTerm
appTerm
appTerm
8702
ref
appTerm
absTerm
appTerm
absTerm
8729
def
absTerm
8730
def
1418
ref
appTerm
betaConv
8731
def
8665
ref
appThm
8729
ref
8636
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8720
remove
"f'"
8716
ref
var
8732
def
1431
ref
1417
ref
8731
remove
8732
ref
varTerm
1418
ref
appTerm
8733
def
refl
appThm
8729
remove
8733
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8723
remove
8730
remove
nil
cons
cons
nil
cons
nil
cons
cons
8724
remove
subst
eqMp
absThm
appThm
trans
trans
trans
7272
remove
assume
eqMp
nil
25
ref
8719
ref
8721
ref
8719
ref
8732
ref
1430
ref
1417
ref
200
ref
38
ref
456
ref
66
ref
8726
remove
66
ref
422
ref
8733
remove
39
ref
appTerm
8734
def
appTerm
39
ref
appTerm
appTerm
8735
def
8727
remove
1418
ref
8734
ref
appTerm
8736
def
appTerm
appTerm
appTerm
appTerm
419
ref
8728
remove
8734
ref
appTerm
appTerm
appTerm
appTerm
8702
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8737
def
appTerm
8738
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
8717
remove
var
8739
def
"f'''''''"
8716
ref
var
8740
def
50
ref
8737
ref
8740
ref
varTerm
8741
def
appTerm
8742
def
appTerm
15
ref
appTerm
8743
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8716
ref
nil
cons
8744
def
cons
nil
cons
8745
def
23
ref
cons
252
ref
subst
8746
def
subst
8740
remove
nil
96
ref
8743
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8742
ref
nil
cons
8747
def
cons
510
ref
cons
nil
cons
cons
8748
def
76
ref
subst
8748
remove
107
ref
subst
8742
ref
betaConv
8742
remove
assume
eqMp
nil
25
ref
8719
remove
8732
remove
1430
ref
1417
ref
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8741
ref
1418
ref
appTerm
39
ref
appTerm
8749
def
appTerm
39
ref
appTerm
appTerm
8750
def
8735
remove
1436
ref
1418
ref
8749
ref
appTerm
appTerm
8751
def
8736
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8749
remove
appTerm
8752
def
8734
remove
appTerm
appTerm
appTerm
appTerm
8702
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8753
def
appTerm
8754
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8739
ref
"f''''''''"
8716
ref
var
8755
def
50
ref
8753
ref
8755
ref
varTerm
8756
def
appTerm
8757
def
appTerm
15
ref
appTerm
8758
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8746
remove
subst
8755
remove
nil
96
ref
8758
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8757
ref
nil
cons
8759
def
cons
510
ref
cons
nil
cons
cons
8760
def
76
ref
subst
8760
remove
107
ref
subst
8757
ref
betaConv
8757
remove
assume
eqMp
nil
25
ref
1430
ref
1417
ref
200
ref
38
ref
456
ref
66
ref
8750
remove
66
ref
422
ref
8756
ref
1418
ref
appTerm
39
ref
appTerm
8761
def
appTerm
39
ref
appTerm
appTerm
8751
remove
1418
ref
8761
ref
appTerm
appTerm
appTerm
appTerm
appTerm
419
ref
8752
remove
8761
remove
appTerm
appTerm
appTerm
appTerm
8702
remove
appTerm
absTerm
appTerm
absTerm
appTerm
8762
def
nil
cons
8763
def
cons
510
ref
cons
nil
cons
cons
8764
def
135
ref
subst
proveHyp
8764
ref
76
ref
subst
8764
remove
107
ref
subst
4529
ref
4247
ref
205
ref
38
ref
nil
25
ref
8397
remove
nil
cons
cons
43
ref
8398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
167
ref
8396
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
ref
subst
1463
ref
35
ref
518
ref
8396
remove
36
ref
appTerm
betaConv
appThm
nil
167
ref
8395
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
ref
subst
1463
ref
449
ref
518
ref
8395
remove
454
ref
appTerm
betaConv
appThm
nil
25
ref
8394
ref
nil
cons
cons
3378
ref
cons
nil
cons
cons
5949
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
25
ref
4274
ref
nil
cons
cons
46
remove
cons
nil
cons
cons
4336
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
4529
ref
4247
ref
205
ref
38
ref
77
ref
1255
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
66
ref
8394
remove
appTerm
6224
ref
appTerm
8765
def
absTerm
8766
def
appTerm
absTerm
8767
def
36
ref
appTerm
betaConv
8768
def
absThm
appThm
appThm
153
ref
1255
ref
4274
ref
refl
appThm
2604
remove
appThm
appThm
1255
ref
419
ref
4274
ref
appTerm
8769
def
refl
appThm
374
remove
appThm
appThm
8770
def
appThm
appThm
1463
ref
35
ref
1255
ref
8768
remove
appThm
8770
ref
appThm
absThm
appThm
appThm
nil
175
ref
8767
remove
nil
cons
cons
43
ref
66
ref
456
ref
4274
remove
appTerm
773
remove
appTerm
appTerm
456
ref
8769
remove
appTerm
44
remove
appTerm
appTerm
8771
def
nil
cons
cons
nil
cons
8772
def
cons
nil
cons
cons
8454
ref
subst
eqMp
1463
ref
35
ref
77
ref
1255
ref
1463
ref
449
ref
8766
ref
454
ref
appTerm
betaConv
8773
def
absThm
appThm
appThm
8770
ref
appThm
appThm
1463
ref
449
ref
1255
ref
8773
remove
appThm
8770
remove
appThm
absThm
appThm
appThm
nil
175
ref
8766
remove
nil
cons
cons
8772
remove
cons
nil
cons
cons
8454
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
77
ref
205
ref
38
ref
1463
ref
35
ref
38
ref
35
ref
238
ref
449
ref
456
ref
8765
remove
appTerm
8771
ref
appTerm
absTerm
appTerm
absTerm
8774
def
absTerm
8775
def
39
ref
appTerm
betaConv
8776
def
184
remove
appThm
8774
ref
36
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8621
ref
8622
ref
205
ref
38
ref
8776
remove
8625
remove
appThm
8774
remove
8624
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8626
ref
8775
remove
nil
cons
cons
nil
cons
nil
cons
cons
8627
ref
subst
eqMp
8621
ref
8622
ref
77
ref
205
ref
38
ref
1463
ref
449
ref
38
ref
449
ref
456
ref
66
ref
8628
ref
3367
remove
458
ref
4248
ref
8624
remove
appTerm
appTerm
8777
def
8393
remove
appTerm
appTerm
appTerm
appTerm
8631
remove
appTerm
appTerm
8771
ref
appTerm
absTerm
8778
def
absTerm
8779
def
39
ref
appTerm
betaConv
8780
def
6239
remove
appThm
8778
ref
454
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8621
ref
8635
ref
205
ref
38
ref
8780
remove
8638
remove
appThm
8778
remove
8637
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8626
remove
8779
remove
nil
cons
cons
nil
cons
nil
cons
cons
8627
remove
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
77
ref
4529
ref
4247
ref
8621
ref
8622
ref
4247
ref
8622
ref
8620
remove
8635
ref
200
ref
38
ref
456
ref
66
ref
8628
remove
8639
ref
8777
remove
4248
ref
8637
ref
appTerm
8781
def
appTerm
appTerm
appTerm
appTerm
8641
remove
appTerm
appTerm
8771
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8782
def
absTerm
8783
def
4248
ref
appTerm
betaConv
8784
def
8645
remove
appThm
8782
ref
8623
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
237
remove
1
ref
1
ref
1
ref
3500
ref
8646
ref
cons
opType
8785
def
4
ref
cons
opType
8786
def
4
ref
cons
opType
8787
def
constTerm
8788
def
refl
8789
def
"f"
8785
ref
var
8790
def
4529
ref
4247
ref
8784
remove
8790
ref
varTerm
4248
ref
appTerm
8791
def
refl
appThm
8782
remove
8791
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
3500
remove
8654
remove
cons
opType
var
8792
def
8783
remove
nil
cons
cons
nil
cons
nil
cons
cons
8656
ref
4548
remove
cons
23
ref
cons
4395
remove
subst
8793
def
subst
eqMp
8789
ref
8790
ref
77
ref
4529
ref
4247
ref
8621
remove
8635
ref
4247
ref
8635
remove
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8791
remove
39
ref
appTerm
8794
def
appTerm
39
ref
appTerm
appTerm
8795
def
8639
remove
458
ref
4248
ref
8794
ref
appTerm
appTerm
8796
def
8781
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8794
remove
appTerm
8797
def
8637
remove
appTerm
appTerm
appTerm
appTerm
8771
ref
appTerm
absTerm
appTerm
absTerm
8798
def
absTerm
8799
def
4248
ref
appTerm
betaConv
8800
def
8665
remove
appThm
8798
ref
8636
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
8789
remove
"f'"
8785
ref
var
8801
def
4529
remove
4247
ref
8800
remove
8801
ref
varTerm
4248
ref
appTerm
8802
def
refl
appThm
8798
remove
8802
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
8792
remove
8799
remove
nil
cons
cons
nil
cons
nil
cons
cons
8793
remove
subst
eqMp
absThm
appThm
trans
trans
trans
8399
remove
assume
eqMp
nil
25
ref
8788
ref
8790
remove
8788
ref
8801
ref
4246
ref
4247
ref
200
ref
38
ref
456
ref
66
ref
8795
remove
66
ref
422
ref
8802
remove
39
ref
appTerm
8803
def
appTerm
39
ref
appTerm
appTerm
8804
def
8796
remove
4248
ref
8803
ref
appTerm
8805
def
appTerm
appTerm
appTerm
appTerm
419
ref
8797
remove
8803
ref
appTerm
appTerm
appTerm
appTerm
8771
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8806
def
appTerm
8807
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"P"
8786
remove
var
8808
def
"f'''''''''"
8785
ref
var
8809
def
50
ref
8806
ref
8809
ref
varTerm
8810
def
appTerm
8811
def
appTerm
15
ref
appTerm
8812
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8785
ref
nil
cons
cons
nil
cons
8813
def
23
ref
cons
252
ref
subst
8814
def
subst
8809
remove
nil
96
ref
8812
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8811
ref
nil
cons
8815
def
cons
510
ref
cons
nil
cons
cons
8816
def
76
ref
subst
8816
remove
107
ref
subst
8811
ref
betaConv
8811
remove
assume
eqMp
nil
25
ref
8788
remove
8801
remove
4246
ref
4247
ref
200
ref
38
ref
456
ref
66
ref
66
ref
422
ref
8810
remove
4248
ref
appTerm
39
ref
appTerm
8817
def
appTerm
39
ref
appTerm
appTerm
8818
def
8804
remove
458
ref
4248
ref
8817
ref
appTerm
appTerm
8819
def
8805
remove
appTerm
appTerm
appTerm
appTerm
419
ref
458
ref
8817
remove
appTerm
8820
def
8803
remove
appTerm
appTerm
appTerm
appTerm
8771
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8821
def
appTerm
8822
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
8808
ref
"f''''''''''"
8785
ref
var
8823
def
50
ref
8821
ref
8823
ref
varTerm
8824
def
appTerm
8825
def
appTerm
15
ref
appTerm
8826
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8814
remove
subst
8823
remove
nil
96
ref
8826
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8825
ref
nil
cons
8827
def
cons
510
ref
cons
nil
cons
cons
8828
def
76
ref
subst
8828
remove
107
ref
subst
8825
ref
betaConv
8825
remove
assume
eqMp
nil
25
ref
4246
remove
4247
remove
200
ref
38
ref
456
ref
66
ref
8818
remove
66
ref
422
ref
8824
remove
4248
ref
appTerm
39
ref
appTerm
8829
def
appTerm
39
ref
appTerm
appTerm
8819
remove
4248
remove
8829
ref
appTerm
appTerm
appTerm
appTerm
appTerm
419
ref
8820
remove
8829
remove
appTerm
appTerm
appTerm
appTerm
8771
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
8830
def
cons
510
ref
cons
nil
cons
cons
8831
def
135
ref
subst
proveHyp
8831
ref
76
ref
subst
8831
remove
107
ref
subst
nil
218
ref
8328
ref
nil
cons
cons
nil
cons
nil
cons
cons
2485
remove
subst
2486
ref
400
ref
518
ref
8328
remove
401
ref
appTerm
betaConv
appThm
nil
25
ref
8317
remove
nil
cons
cons
43
ref
8327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5949
ref
subst
153
ref
153
ref
8315
ref
refl
appThm
153
ref
204
ref
35
ref
204
ref
449
ref
nil
25
ref
8301
remove
nil
cons
cons
3378
remove
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
25
ref
486
ref
nil
cons
cons
43
ref
8300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
486
ref
appTerm
8832
def
refl
appThm
nil
25
ref
8299
ref
nil
cons
cons
3444
remove
nil
cons
cons
nil
cons
cons
2592
ref
subst
appThm
trans
appThm
3366
ref
appThm
trans
absThm
appThm
absThm
appThm
appThm
8304
ref
refl
appThm
appThm
appThm
nil
25
ref
8320
ref
nil
cons
cons
43
ref
8326
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
8320
remove
appTerm
8833
def
refl
appThm
8834
def
nil
25
ref
8315
ref
nil
cons
cons
43
ref
8325
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
8315
remove
appTerm
8835
def
refl
appThm
8836
def
nil
25
ref
8304
ref
nil
cons
cons
43
ref
8324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2592
ref
subst
1255
ref
419
ref
8304
ref
appTerm
8837
def
refl
appThm
8838
def
nil
167
ref
8323
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
ref
subst
1463
ref
35
ref
518
ref
8323
remove
36
ref
appTerm
betaConv
appThm
nil
167
ref
8322
ref
nil
cons
cons
nil
cons
nil
cons
cons
2484
remove
subst
1463
ref
449
ref
518
ref
8322
remove
454
ref
appTerm
betaConv
appThm
nil
25
ref
8321
ref
nil
cons
cons
43
ref
8287
remove
nil
cons
cons
nil
cons
8839
def
cons
nil
cons
cons
5949
ref
subst
153
ref
153
ref
486
remove
refl
appThm
8299
ref
refl
appThm
appThm
3984
ref
2543
remove
subst
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
absThm
appThm
trans
2486
ref
400
ref
66
ref
8316
remove
66
ref
166
ref
35
ref
166
ref
449
ref
456
ref
456
ref
8832
remove
appTerm
456
ref
419
ref
8299
remove
appTerm
appTerm
419
ref
3388
ref
appTerm
8840
def
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
8304
remove
appTerm
appTerm
8841
def
appTerm
8842
def
refl
8843
def
8834
ref
8836
ref
77
ref
8838
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
66
ref
8321
remove
appTerm
456
ref
66
ref
3388
ref
appTerm
6224
ref
appTerm
appTerm
66
ref
8840
ref
appTerm
460
ref
appTerm
appTerm
appTerm
8844
def
absTerm
8845
def
appTerm
absTerm
8846
def
36
ref
appTerm
betaConv
8847
def
absThm
appThm
appThm
appThm
1463
ref
35
ref
8838
ref
8847
remove
appThm
absThm
appThm
appThm
nil
346
ref
8846
remove
nil
cons
cons
25
ref
8837
ref
nil
cons
cons
nil
cons
8848
def
cons
nil
cons
cons
4379
ref
subst
eqMp
1463
ref
35
ref
77
ref
8838
ref
1463
ref
449
ref
8845
ref
454
ref
appTerm
betaConv
8849
def
absThm
appThm
appThm
appThm
1463
ref
449
ref
8838
remove
8849
remove
appThm
absThm
appThm
appThm
nil
346
ref
8845
remove
nil
cons
cons
8848
remove
cons
nil
cons
cons
4379
ref
subst
eqMp
absThm
appThm
trans
appThm
77
ref
8836
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
456
ref
8837
remove
appTerm
8844
remove
appTerm
8850
def
absTerm
8851
def
appTerm
absTerm
8852
def
36
ref
appTerm
betaConv
8853
def
absThm
appThm
appThm
appThm
1463
ref
35
ref
8836
ref
8853
remove
appThm
absThm
appThm
appThm
nil
346
ref
8852
remove
nil
cons
cons
25
ref
8835
ref
nil
cons
cons
nil
cons
8854
def
cons
nil
cons
cons
4379
ref
subst
eqMp
1463
ref
35
ref
77
ref
8836
ref
1463
ref
449
ref
8851
ref
454
ref
appTerm
betaConv
8855
def
absThm
appThm
appThm
appThm
1463
ref
449
ref
8836
remove
8855
remove
appThm
absThm
appThm
appThm
nil
346
ref
8851
remove
nil
cons
cons
8854
remove
cons
nil
cons
cons
4379
ref
subst
eqMp
absThm
appThm
trans
trans
appThm
77
ref
8834
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
456
ref
8835
remove
appTerm
8850
remove
appTerm
8856
def
absTerm
8857
def
appTerm
absTerm
8858
def
36
ref
appTerm
betaConv
8859
def
absThm
appThm
appThm
appThm
1463
ref
35
ref
8834
ref
8859
remove
appThm
absThm
appThm
appThm
nil
346
ref
8858
remove
nil
cons
cons
25
ref
8833
ref
nil
cons
cons
nil
cons
8860
def
cons
nil
cons
cons
4379
ref
subst
eqMp
1463
ref
35
ref
77
ref
8834
ref
1463
ref
449
ref
8857
ref
454
ref
appTerm
betaConv
8861
def
absThm
appThm
appThm
appThm
1463
ref
449
ref
8834
remove
8861
remove
appThm
absThm
appThm
appThm
nil
346
ref
8857
remove
nil
cons
cons
8860
remove
cons
nil
cons
cons
4379
remove
subst
eqMp
absThm
appThm
trans
trans
appThm
77
ref
8843
ref
1463
ref
35
ref
35
ref
238
ref
449
ref
456
ref
8833
remove
appTerm
8856
remove
appTerm
8862
def
absTerm
8863
def
appTerm
absTerm
8864
def
36
ref
appTerm
betaConv
8865
def
absThm
appThm
appThm
appThm
1463
ref
35
ref
8843
ref
8865
remove
appThm
absThm
appThm
appThm
nil
346
ref
8864
remove
nil
cons
cons
25
ref
8841
remove
nil
cons
cons
nil
cons
8866
def
cons
nil
cons
cons
4429
ref
subst
eqMp
1463
ref
35
ref
77
ref
8843
ref
1463
ref
449
ref
8863
ref
454
ref
appTerm
betaConv
8867
def
absThm
appThm
appThm
appThm
1463
remove
449
ref
8843
remove
8867
remove
appThm
absThm
appThm
appThm
nil
346
remove
8863
remove
nil
cons
cons
8866
remove
cons
nil
cons
cons
4429
remove
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
trans
8331
remove
assume
eqMp
nil
25
ref
267
ref
400
ref
238
ref
35
ref
238
ref
449
ref
8842
remove
8862
remove
appTerm
8868
def
absTerm
8869
def
appTerm
8870
def
absTerm
8871
def
appTerm
8872
def
absTerm
8873
def
appTerm
8874
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
218
ref
400
ref
50
ref
8873
ref
401
ref
appTerm
8875
def
appTerm
15
ref
appTerm
8876
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
400
ref
nil
96
ref
8876
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8875
ref
nil
cons
8877
def
cons
510
ref
cons
nil
cons
cons
8878
def
76
ref
subst
8878
remove
107
ref
subst
8875
ref
betaConv
8875
remove
assume
eqMp
nil
25
ref
8872
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
167
ref
35
ref
50
ref
8871
ref
36
ref
appTerm
8879
def
appTerm
15
ref
appTerm
8880
def
absTerm
8881
def
nil
cons
cons
nil
cons
nil
cons
cons
252
ref
subst
35
ref
nil
96
ref
8880
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8879
ref
nil
cons
8882
def
cons
510
ref
cons
nil
cons
cons
8883
def
76
ref
subst
8883
remove
107
ref
subst
8879
ref
betaConv
8879
remove
assume
eqMp
nil
25
ref
8870
ref
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
167
ref
449
ref
50
ref
8869
ref
454
ref
appTerm
8884
def
appTerm
15
ref
appTerm
8885
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
252
remove
subst
449
ref
nil
96
ref
8885
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
8884
ref
nil
cons
8886
def
cons
510
ref
cons
nil
cons
cons
8887
def
76
ref
subst
8887
remove
107
ref
subst
8884
ref
betaConv
8884
remove
assume
eqMp
nil
25
ref
8868
ref
nil
cons
8888
def
cons
510
ref
cons
nil
cons
cons
8889
def
135
ref
subst
proveHyp
8889
ref
76
ref
subst
8889
remove
107
ref
subst
nil
25
ref
419
ref
6227
ref
419
ref
6035
ref
1
ref
29
ref
146
ref
cons
opType
constTerm
8890
def
30
ref
appTerm
8891
def
401
ref
appTerm
8892
def
appTerm
8893
def
appTerm
8894
def
appTerm
8895
def
nil
cons
8896
def
cons
43
ref
419
ref
456
ref
8893
ref
appTerm
8897
def
6224
ref
appTerm
8898
def
appTerm
8899
def
nil
cons
8900
def
cons
nil
cons
cons
nil
cons
cons
8901
def
140
ref
subst
8901
ref
76
ref
subst
8901
remove
107
ref
subst
nil
2906
ref
6225
ref
cons
8902
def
2905
ref
8893
remove
nil
cons
8903
def
cons
nil
cons
cons
nil
cons
cons
8904
def
nil
25
ref
4760
ref
nil
cons
8905
def
cons
8906
def
43
ref
4738
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
4719
ref
43
ref
50
ref
4760
ref
appTerm
8907
def
4722
ref
appTerm
nil
cons
8908
def
cons
nil
cons
8909
def
cons
nil
cons
cons
8910
def
76
ref
subst
8910
remove
107
ref
subst
52
ref
"_522"
3
ref
var
8911
def
50
ref
419
ref
456
ref
8911
remove
varTerm
appTerm
2907
ref
appTerm
appTerm
appTerm
4722
ref
appTerm
absTerm
8912
def
2914
ref
appTerm
8913
def
appTerm
refl
8914
def
8912
ref
15
ref
appTerm
betaConv
appThm
77
ref
8913
remove
betaConv
appThm
8915
def
50
ref
4770
ref
appTerm
8916
def
4722
ref
appTerm
refl
appThm
trans
8912
remove
refl
8917
def
4735
ref
appThm
eqMp
sym
51
ref
4772
ref
appThm
8918
def
4773
ref
appThm
4739
ref
573
ref
subst
8919
def
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
8908
ref
cons
nil
cons
8920
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
8909
remove
cons
nil
cons
cons
8921
def
76
ref
subst
8921
remove
107
ref
subst
8914
remove
"_520"
3
ref
var
8922
def
50
ref
419
ref
456
ref
8922
remove
varTerm
appTerm
2907
ref
appTerm
appTerm
appTerm
4722
ref
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
8915
remove
50
ref
4779
ref
appTerm
8923
def
4722
ref
appTerm
refl
appThm
trans
8917
remove
4752
ref
appThm
eqMp
sym
51
ref
4780
ref
appThm
8924
def
4773
ref
appThm
4739
ref
600
ref
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
8920
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
8908
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
8925
def
subst
8926
def
8904
ref
nil
8906
remove
43
ref
2935
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
4719
ref
43
ref
8907
remove
2915
ref
appTerm
nil
cons
8927
def
cons
nil
cons
8928
def
cons
nil
cons
cons
8929
def
76
ref
subst
8929
remove
107
ref
subst
52
ref
"_518"
3
ref
var
8930
def
50
ref
419
ref
456
ref
8930
remove
varTerm
8931
def
appTerm
2907
ref
appTerm
appTerm
appTerm
419
ref
8931
remove
appTerm
appTerm
absTerm
8932
def
2914
ref
appTerm
8933
def
appTerm
refl
8934
def
8932
ref
15
ref
appTerm
betaConv
appThm
77
ref
8933
remove
betaConv
appThm
8935
def
8916
remove
537
remove
appTerm
refl
appThm
trans
8932
remove
refl
8936
def
4735
ref
appThm
eqMp
sym
8918
remove
539
remove
appThm
4754
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
8927
ref
cons
nil
cons
8937
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
8928
remove
cons
nil
cons
cons
8938
def
76
ref
subst
8938
remove
107
ref
subst
8934
remove
"_516"
3
ref
var
8939
def
50
ref
419
ref
456
ref
8939
remove
varTerm
8940
def
appTerm
2907
ref
appTerm
appTerm
appTerm
419
ref
8940
remove
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
8935
remove
8923
remove
585
remove
appTerm
refl
appThm
trans
8936
remove
4752
ref
appThm
eqMp
sym
8924
remove
590
remove
appThm
5836
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
8937
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
8927
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
8941
def
subst
8942
def
nil
2906
ref
8903
remove
cons
8943
def
2905
ref
6225
ref
cons
8944
def
nil
cons
8945
def
cons
nil
cons
cons
8946
def
nil
25
ref
4738
remove
cons
43
ref
8905
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
25
ref
2935
remove
cons
43
ref
4723
ref
4760
remove
appTerm
8947
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
4719
ref
43
ref
2952
ref
8947
remove
appTerm
nil
cons
8948
def
cons
nil
cons
8949
def
cons
nil
cons
cons
8950
def
76
ref
subst
8950
remove
107
ref
subst
52
ref
"_526"
3
ref
var
8951
def
50
ref
419
ref
8951
remove
varTerm
8952
def
appTerm
appTerm
4723
ref
419
ref
456
ref
8952
remove
appTerm
2907
ref
appTerm
appTerm
appTerm
appTerm
absTerm
8953
def
2914
ref
appTerm
8954
def
appTerm
refl
8955
def
8953
ref
15
ref
appTerm
betaConv
appThm
77
ref
8954
remove
betaConv
appThm
8956
def
558
ref
4723
ref
4770
remove
appTerm
appTerm
refl
appThm
trans
8953
remove
refl
8957
def
4735
ref
appThm
eqMp
sym
562
ref
4723
ref
refl
8958
def
4772
remove
appThm
8919
ref
trans
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
8948
ref
cons
nil
cons
8959
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
8949
remove
cons
nil
cons
cons
8960
def
76
ref
subst
8960
remove
107
ref
subst
8955
remove
"_524"
3
ref
var
8961
def
50
ref
419
ref
8961
remove
varTerm
8962
def
appTerm
appTerm
4723
ref
419
ref
456
ref
8962
remove
appTerm
2907
ref
appTerm
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
8956
remove
586
ref
4723
remove
4779
remove
appTerm
appTerm
refl
appThm
trans
8957
remove
4752
ref
appThm
eqMp
sym
591
ref
8958
remove
4780
remove
appThm
4741
remove
trans
appThm
6157
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
8959
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
8948
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
8963
def
subst
proveHyp
proveHyp
eqMp
nil
108
ref
8896
ref
cons
110
ref
8900
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
8895
ref
appTerm
8899
ref
appTerm
nil
cons
cons
43
ref
50
ref
8899
remove
appTerm
8895
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
8900
ref
cons
43
ref
8896
ref
cons
nil
cons
cons
nil
cons
cons
8964
def
76
ref
subst
8964
remove
107
ref
subst
8946
ref
8925
ref
subst
8946
remove
8941
ref
subst
8904
remove
8963
ref
subst
8965
def
proveHyp
proveHyp
eqMp
nil
108
ref
8900
remove
cons
110
ref
8896
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
8894
ref
nil
cons
8966
def
cons
2905
ref
8898
ref
nil
cons
8967
def
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
52
ref
2915
remove
appTerm
4722
ref
appTerm
8968
def
nil
cons
cons
43
ref
3764
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
nil
4719
ref
43
ref
50
ref
8968
remove
appTerm
3764
remove
appTerm
nil
cons
8969
def
cons
nil
cons
8970
def
cons
nil
cons
cons
8971
def
76
ref
subst
8971
remove
107
ref
subst
52
ref
"_530"
3
ref
var
8972
def
50
ref
52
ref
419
ref
8972
remove
varTerm
8973
def
appTerm
appTerm
4722
ref
appTerm
appTerm
52
ref
8973
remove
appTerm
2907
ref
appTerm
appTerm
absTerm
8974
def
2914
ref
appTerm
8975
def
appTerm
refl
8976
def
8974
ref
15
ref
appTerm
betaConv
appThm
77
ref
8975
remove
betaConv
appThm
8977
def
50
ref
538
remove
4722
ref
appTerm
appTerm
6178
remove
appTerm
refl
appThm
trans
8974
remove
refl
8978
def
4735
ref
appThm
eqMp
sym
51
ref
7259
remove
4773
ref
appThm
4739
ref
1099
remove
subst
trans
appThm
6180
remove
appThm
8919
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
8969
ref
cons
nil
cons
8979
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
8970
remove
cons
nil
cons
cons
8980
def
76
ref
subst
8980
remove
107
ref
subst
8976
remove
"_528"
3
ref
var
8981
def
50
ref
52
ref
419
ref
8981
remove
varTerm
8982
def
appTerm
appTerm
4722
ref
appTerm
appTerm
52
ref
8982
remove
appTerm
2907
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
8977
remove
50
ref
589
remove
4722
remove
appTerm
appTerm
6186
remove
appTerm
refl
appThm
trans
8978
remove
4752
ref
appThm
eqMp
sym
51
ref
7266
remove
4773
remove
appThm
4739
remove
2513
remove
subst
4740
remove
trans
trans
appThm
6187
remove
appThm
6188
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
8979
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
8969
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
8983
def
subst
proveHyp
nil
25
ref
419
ref
6227
ref
8897
ref
419
ref
8890
ref
6035
ref
1
ref
147
ref
6846
remove
cons
opType
constTerm
148
ref
appTerm
401
ref
appTerm
8984
def
appTerm
39
ref
appTerm
8985
def
appTerm
8986
def
appTerm
8987
def
appTerm
8988
def
appTerm
8989
def
nil
cons
8990
def
cons
43
ref
419
ref
456
ref
8986
ref
appTerm
8991
def
8894
ref
appTerm
8992
def
appTerm
8993
def
nil
cons
8994
def
cons
nil
cons
cons
nil
cons
cons
8995
def
140
ref
subst
8995
ref
76
ref
subst
8995
remove
107
ref
subst
nil
8902
ref
2905
ref
8987
ref
nil
cons
cons
nil
cons
8996
def
cons
nil
cons
cons
8997
def
8925
ref
subst
8998
def
nil
8943
ref
2905
ref
8986
remove
nil
cons
8999
def
cons
nil
cons
cons
nil
cons
cons
9000
def
8925
ref
subst
9001
def
proveHyp
8997
ref
8941
ref
subst
9002
def
8998
ref
9000
ref
8941
ref
subst
9003
def
proveHyp
8965
remove
proveHyp
proveHyp
nil
2906
ref
8999
remove
cons
9004
def
2905
ref
8966
ref
cons
nil
cons
cons
nil
cons
cons
9005
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
8990
ref
cons
110
ref
8994
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
8989
ref
appTerm
8993
ref
appTerm
nil
cons
cons
43
ref
50
ref
8993
remove
appTerm
8989
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
8994
ref
cons
43
ref
8990
ref
cons
nil
cons
cons
nil
cons
cons
9006
def
76
ref
subst
9006
remove
107
ref
subst
9005
ref
8925
ref
subst
9007
def
8942
remove
proveHyp
9007
remove
8926
remove
proveHyp
9005
remove
8941
ref
subst
9000
remove
8963
ref
subst
9008
def
proveHyp
proveHyp
8997
remove
8963
ref
subst
9009
def
proveHyp
proveHyp
eqMp
nil
108
ref
8994
remove
cons
110
ref
8990
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
8988
ref
nil
cons
9010
def
cons
2905
ref
8992
ref
nil
cons
9011
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
456
ref
419
ref
1316
ref
6035
ref
1
ref
1413
ref
1414
ref
cons
opType
constTerm
9012
def
6035
ref
1
ref
1415
ref
1415
ref
nil
cons
cons
opType
constTerm
1416
ref
appTerm
9013
def
1418
ref
appTerm
9014
def
appTerm
9015
def
401
ref
appTerm
9016
def
appTerm
9016
ref
appTerm
9017
def
appTerm
9018
def
appTerm
9019
def
8987
ref
appTerm
9020
def
appTerm
9021
def
appTerm
9022
def
nil
cons
9023
def
cons
43
ref
419
ref
9019
ref
8988
ref
appTerm
9024
def
appTerm
9025
def
nil
cons
9026
def
cons
nil
cons
cons
nil
cons
cons
9027
def
140
ref
subst
9027
ref
76
ref
subst
9027
remove
107
ref
subst
nil
8902
ref
2905
ref
9020
ref
nil
cons
cons
nil
cons
9028
def
cons
nil
cons
cons
9029
def
8925
ref
subst
9030
def
nil
2906
ref
9018
ref
nil
cons
9031
def
cons
9032
def
8996
ref
cons
nil
cons
cons
9033
def
8941
ref
subst
9034
def
proveHyp
9029
ref
8941
ref
subst
9035
def
9030
ref
9033
ref
8925
ref
subst
9036
def
proveHyp
9009
remove
proveHyp
proveHyp
nil
9032
ref
2905
ref
9010
ref
cons
nil
cons
cons
nil
cons
cons
9037
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9023
ref
cons
110
ref
9026
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9022
ref
appTerm
9025
ref
appTerm
nil
cons
cons
43
ref
50
ref
9025
remove
appTerm
9022
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9026
ref
cons
43
ref
9023
ref
cons
nil
cons
cons
nil
cons
cons
9038
def
76
ref
subst
9038
remove
107
ref
subst
9037
ref
8925
ref
subst
9039
def
9002
remove
proveHyp
9037
remove
8941
ref
subst
9039
remove
8998
remove
proveHyp
9033
remove
8963
ref
subst
9040
def
proveHyp
proveHyp
9029
remove
8963
ref
subst
9041
def
proveHyp
proveHyp
eqMp
nil
108
ref
9026
remove
cons
110
ref
9023
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9021
ref
nil
cons
9042
def
cons
2905
ref
9024
ref
nil
cons
9043
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
456
ref
419
ref
1436
ref
6091
ref
454
ref
appTerm
9044
def
appTerm
9044
ref
appTerm
9045
def
appTerm
9046
def
appTerm
9047
def
9020
remove
appTerm
9048
def
appTerm
9049
def
appTerm
9050
def
nil
cons
9051
def
cons
9052
def
43
ref
419
ref
9047
ref
9021
ref
appTerm
9053
def
appTerm
9054
def
nil
cons
9055
def
cons
nil
cons
cons
nil
cons
cons
9056
def
140
ref
subst
9056
ref
76
ref
subst
9056
remove
107
ref
subst
nil
8902
ref
2905
ref
9048
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9057
def
8925
ref
subst
9058
def
nil
2906
ref
9046
ref
nil
cons
9059
def
cons
9060
def
9028
remove
cons
nil
cons
cons
9061
def
8941
ref
subst
proveHyp
9062
def
9057
ref
8941
ref
subst
9063
def
9058
remove
9061
ref
8925
ref
subst
proveHyp
9064
def
9041
remove
proveHyp
proveHyp
nil
9060
ref
2905
ref
9042
ref
cons
nil
cons
cons
nil
cons
cons
9065
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9051
ref
cons
9066
def
110
ref
9055
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9050
ref
appTerm
9067
def
9054
ref
appTerm
nil
cons
cons
43
ref
50
ref
9054
remove
appTerm
9050
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9055
ref
cons
43
ref
9051
ref
cons
nil
cons
9068
def
cons
nil
cons
cons
9069
def
76
ref
subst
9069
remove
107
ref
subst
9065
ref
8925
ref
subst
9070
def
9035
remove
proveHyp
9065
remove
8941
ref
subst
9070
remove
9030
remove
proveHyp
9061
remove
8963
ref
subst
9071
def
proveHyp
proveHyp
9057
remove
8963
ref
subst
9072
def
proveHyp
proveHyp
eqMp
nil
108
ref
9055
remove
cons
110
ref
9051
remove
cons
nil
cons
9073
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9049
remove
nil
cons
9074
def
cons
2905
ref
9053
ref
nil
cons
9075
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9019
ref
6227
ref
9047
ref
8987
ref
appTerm
9076
def
appTerm
9077
def
appTerm
9078
def
appTerm
9079
def
nil
cons
9080
def
cons
9068
remove
cons
nil
cons
cons
9081
def
140
ref
subst
9081
ref
76
ref
subst
9081
remove
107
ref
subst
nil
9032
ref
2905
ref
9077
ref
nil
cons
9082
def
cons
nil
cons
9083
def
cons
nil
cons
cons
9084
def
8925
ref
subst
9085
def
nil
8902
ref
2905
ref
9076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9086
def
8941
ref
subst
9087
def
proveHyp
9085
remove
9086
ref
8925
ref
subst
9088
def
proveHyp
9089
def
nil
9060
ref
8996
ref
cons
nil
cons
cons
9090
def
8941
ref
subst
9091
def
proveHyp
9084
ref
8941
ref
subst
9089
remove
9090
ref
8925
ref
subst
9092
def
proveHyp
9040
remove
proveHyp
proveHyp
9071
remove
proveHyp
proveHyp
9072
remove
proveHyp
proveHyp
eqMp
nil
108
ref
9080
ref
cons
9073
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9079
ref
appTerm
9050
remove
appTerm
nil
cons
cons
43
ref
9067
remove
9079
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
9052
remove
43
ref
9080
ref
cons
nil
cons
cons
nil
cons
cons
9093
def
76
ref
subst
9093
remove
107
ref
subst
9064
ref
9034
remove
proveHyp
9063
remove
9062
remove
9064
remove
9036
remove
proveHyp
9090
remove
8963
ref
subst
9094
def
proveHyp
proveHyp
9086
remove
8963
ref
subst
9095
def
proveHyp
proveHyp
9084
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
9066
remove
110
ref
9080
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9078
ref
nil
cons
9096
def
cons
2905
ref
9074
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
9047
ref
456
ref
419
ref
1316
ref
9015
remove
39
ref
appTerm
9097
def
appTerm
9098
def
9016
ref
appTerm
9099
def
appTerm
9100
def
appTerm
9101
def
8987
remove
appTerm
9102
def
appTerm
9103
def
appTerm
9104
def
appTerm
9105
def
nil
cons
9106
def
cons
9107
def
43
ref
419
ref
9101
ref
9077
ref
appTerm
9108
def
appTerm
9109
def
nil
cons
9110
def
cons
nil
cons
cons
nil
cons
cons
9111
def
140
ref
subst
9111
ref
76
ref
subst
9111
remove
107
ref
subst
nil
8902
ref
2905
ref
9103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9112
def
8925
ref
subst
9113
def
nil
9060
ref
2905
ref
9102
ref
nil
cons
cons
nil
cons
9114
def
cons
nil
cons
cons
9115
def
8925
ref
subst
proveHyp
9116
def
nil
2906
ref
9100
remove
nil
cons
cons
9117
def
8996
remove
cons
nil
cons
cons
9118
def
8941
ref
subst
9119
def
proveHyp
9112
ref
8941
ref
subst
9120
def
9113
remove
9115
ref
8941
ref
subst
proveHyp
9121
def
9116
ref
9118
ref
8925
ref
subst
9122
def
proveHyp
9094
remove
proveHyp
proveHyp
9095
remove
proveHyp
proveHyp
nil
9117
ref
9083
remove
cons
nil
cons
cons
9123
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9106
ref
cons
9124
def
110
ref
9110
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9105
ref
appTerm
9125
def
9109
ref
appTerm
nil
cons
cons
43
ref
50
ref
9109
remove
appTerm
9105
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9110
ref
cons
43
ref
9106
ref
cons
nil
cons
9126
def
cons
nil
cons
cons
9127
def
76
ref
subst
9127
remove
107
ref
subst
9123
ref
8925
ref
subst
9128
def
9087
remove
proveHyp
9128
remove
9088
remove
proveHyp
9129
def
9091
remove
proveHyp
9123
remove
8941
ref
subst
9129
remove
9092
remove
proveHyp
9118
remove
8963
ref
subst
9130
def
proveHyp
proveHyp
9115
remove
8963
ref
subst
9131
def
proveHyp
proveHyp
9112
remove
8963
ref
subst
9132
def
proveHyp
proveHyp
eqMp
nil
108
ref
9110
remove
cons
110
ref
9106
remove
cons
nil
cons
9133
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9104
remove
nil
cons
9134
def
cons
2905
ref
9108
ref
nil
cons
9135
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
456
ref
6227
ref
9046
remove
appTerm
9136
def
appTerm
9137
def
6227
ref
9102
ref
appTerm
9138
def
appTerm
9139
def
appTerm
9140
def
nil
cons
9141
def
cons
9126
remove
cons
nil
cons
cons
9142
def
140
ref
subst
9142
ref
76
ref
subst
9142
remove
107
ref
subst
nil
2906
ref
9136
ref
nil
cons
9143
def
cons
2905
ref
9138
ref
nil
cons
9144
def
cons
nil
cons
9145
def
cons
nil
cons
cons
9146
def
8941
ref
subst
9147
def
nil
8902
ref
2905
ref
9059
remove
cons
nil
cons
cons
nil
cons
cons
9148
def
8941
ref
subst
9149
def
proveHyp
9147
remove
9148
ref
8925
ref
subst
9150
def
proveHyp
9146
ref
8925
ref
subst
nil
8902
ref
9114
ref
cons
nil
cons
cons
9151
def
8925
ref
subst
9152
def
proveHyp
9131
remove
proveHyp
proveHyp
9132
remove
proveHyp
proveHyp
eqMp
nil
108
ref
9141
ref
cons
9133
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9140
ref
appTerm
9105
remove
appTerm
nil
cons
cons
43
ref
9125
remove
9140
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
9107
remove
43
ref
9141
ref
cons
nil
cons
cons
nil
cons
cons
9153
def
76
ref
subst
9153
remove
107
ref
subst
9120
ref
9121
remove
9148
remove
8963
ref
subst
9154
def
proveHyp
proveHyp
9120
remove
9116
remove
9151
ref
8963
ref
subst
9155
def
proveHyp
proveHyp
9146
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
9124
remove
110
ref
9141
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9139
ref
nil
cons
9156
def
cons
2905
ref
9134
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
456
ref
419
ref
1436
ref
6092
ref
appTerm
9157
def
9044
ref
appTerm
9158
def
appTerm
9159
def
appTerm
9160
def
9102
remove
appTerm
9161
def
appTerm
9162
def
appTerm
9163
def
nil
cons
9164
def
cons
9165
def
43
ref
419
ref
9160
ref
9138
ref
appTerm
9166
def
appTerm
9167
def
nil
cons
9168
def
cons
nil
cons
cons
nil
cons
cons
9169
def
140
ref
subst
9169
ref
76
ref
subst
9169
remove
107
ref
subst
nil
8902
ref
2905
ref
9161
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9170
def
8925
ref
subst
9171
def
nil
2906
ref
9159
ref
nil
cons
9172
def
cons
9173
def
9114
remove
cons
nil
cons
cons
9174
def
8941
ref
subst
proveHyp
9175
def
9170
ref
8941
ref
subst
9176
def
9171
remove
9174
ref
8925
ref
subst
proveHyp
9177
def
9155
remove
proveHyp
proveHyp
nil
9173
ref
9145
remove
cons
nil
cons
cons
9178
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9164
ref
cons
9179
def
110
ref
9168
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9163
ref
appTerm
9180
def
9167
ref
appTerm
nil
cons
cons
43
ref
50
ref
9167
remove
appTerm
9163
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9168
ref
cons
43
ref
9164
ref
cons
nil
cons
9181
def
cons
nil
cons
cons
9182
def
76
ref
subst
9182
remove
107
ref
subst
9178
ref
8925
ref
subst
9183
def
9151
remove
8941
ref
subst
proveHyp
9178
remove
8941
ref
subst
9183
remove
9152
remove
proveHyp
9174
remove
8963
ref
subst
9184
def
proveHyp
proveHyp
9170
remove
8963
ref
subst
9185
def
proveHyp
proveHyp
eqMp
nil
108
ref
9168
remove
cons
110
ref
9164
remove
cons
nil
cons
9186
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9162
remove
nil
cons
9187
def
cons
2905
ref
9166
ref
nil
cons
9188
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
8897
ref
8991
ref
9101
ref
6227
ref
9159
ref
appTerm
9189
def
appTerm
9190
def
appTerm
9191
def
appTerm
9192
def
appTerm
9193
def
nil
cons
9194
def
cons
9181
remove
cons
nil
cons
cons
9195
def
140
ref
subst
9195
ref
76
ref
subst
9195
remove
107
ref
subst
nil
8943
ref
2905
ref
9191
ref
nil
cons
9196
def
cons
nil
cons
cons
nil
cons
cons
9197
def
8925
ref
subst
9198
def
nil
9004
ref
2905
ref
9190
ref
nil
cons
9199
def
cons
nil
cons
cons
nil
cons
cons
9200
def
8925
ref
subst
proveHyp
9201
def
nil
9117
ref
2905
ref
9189
ref
nil
cons
9202
def
cons
nil
cons
cons
nil
cons
cons
9203
def
8925
ref
subst
proveHyp
9204
def
nil
8902
ref
2905
ref
9172
ref
cons
9205
def
nil
cons
cons
nil
cons
cons
9206
def
8941
ref
subst
proveHyp
9204
remove
9206
ref
8925
ref
subst
proveHyp
9201
remove
9203
ref
8941
ref
subst
proveHyp
9197
ref
8941
ref
subst
9198
remove
9200
ref
8941
ref
subst
proveHyp
9008
remove
proveHyp
proveHyp
9130
remove
proveHyp
proveHyp
9184
remove
proveHyp
proveHyp
9185
remove
proveHyp
proveHyp
eqMp
nil
108
ref
9194
ref
cons
9186
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9193
ref
appTerm
9163
remove
appTerm
nil
cons
cons
43
ref
9180
remove
9193
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
9165
remove
43
ref
9194
ref
cons
nil
cons
cons
nil
cons
cons
9207
def
76
ref
subst
9207
remove
107
ref
subst
9177
ref
9122
remove
proveHyp
9208
def
9003
remove
proveHyp
9208
remove
9001
remove
proveHyp
9177
remove
9119
remove
proveHyp
9176
remove
9175
remove
9206
remove
8963
ref
subst
proveHyp
proveHyp
9203
remove
8963
ref
subst
proveHyp
proveHyp
9200
remove
8963
ref
subst
proveHyp
proveHyp
9197
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
9179
remove
110
ref
9194
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9192
ref
nil
cons
9209
def
cons
2905
ref
9187
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
8897
ref
refl
8991
ref
refl
9101
ref
refl
153
ref
153
ref
8890
ref
6035
ref
1
ref
421
ref
421
ref
nil
cons
cons
opType
constTerm
422
ref
appTerm
9210
def
36
ref
appTerm
9211
def
appTerm
401
ref
appTerm
9212
def
refl
appThm
8890
ref
9210
ref
454
ref
appTerm
9213
def
appTerm
401
ref
appTerm
9214
def
refl
appThm
appThm
nil
2906
ref
66
ref
9158
ref
appTerm
6224
ref
appTerm
9215
def
nil
cons
cons
9205
remove
2904
ref
3377
ref
cons
nil
cons
9216
def
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
2906
ref
9158
ref
nil
cons
9217
def
cons
9218
def
8944
ref
2904
ref
9172
remove
cons
nil
cons
cons
cons
nil
cons
cons
4858
ref
subst
appThm
nil
9218
ref
8944
remove
9216
remove
cons
cons
nil
cons
cons
4858
ref
subst
appThm
trans
appThm
appThm
nil
9117
ref
2905
ref
66
ref
9212
ref
appTerm
9214
ref
appTerm
9219
def
nil
cons
cons
2904
ref
66
ref
66
ref
456
ref
9158
ref
appTerm
9220
def
9159
ref
appTerm
9221
def
appTerm
9189
remove
appTerm
9222
def
appTerm
66
ref
9220
ref
460
ref
appTerm
9223
def
appTerm
6227
ref
460
ref
appTerm
9224
def
appTerm
9225
def
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
9117
ref
2905
ref
9212
ref
nil
cons
9226
def
cons
9227
def
2904
ref
9214
ref
nil
cons
9228
def
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
9117
ref
2905
ref
9222
remove
nil
cons
cons
2904
ref
9225
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
9117
ref
2905
ref
9221
ref
nil
cons
cons
2904
ref
9202
remove
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
9117
ref
2905
ref
9223
ref
nil
cons
cons
9229
def
2904
ref
9224
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
trans
appThm
trans
trans
appThm
nil
9004
ref
2905
ref
66
ref
9101
ref
9212
ref
appTerm
9230
def
appTerm
9101
ref
9214
ref
appTerm
9231
def
appTerm
nil
cons
cons
2904
ref
66
ref
66
ref
9101
ref
9221
remove
appTerm
9232
def
appTerm
9190
remove
appTerm
9233
def
appTerm
66
ref
9101
ref
9223
remove
appTerm
9234
def
appTerm
9101
ref
9224
remove
appTerm
9235
def
appTerm
9236
def
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
9004
ref
2905
ref
9230
ref
nil
cons
cons
9237
def
2904
ref
9231
ref
nil
cons
9238
def
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
9004
ref
2905
ref
9233
remove
nil
cons
cons
2904
ref
9236
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
9004
ref
2905
ref
9232
ref
nil
cons
cons
2904
ref
9199
remove
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
9004
ref
2905
ref
9234
ref
nil
cons
cons
9239
def
2904
ref
9235
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
trans
appThm
trans
trans
appThm
nil
8943
ref
2905
ref
66
ref
8991
ref
9230
remove
appTerm
9240
def
appTerm
8991
ref
9231
remove
appTerm
9241
def
appTerm
nil
cons
cons
2904
ref
66
ref
66
ref
8991
ref
9232
remove
appTerm
9242
def
appTerm
9191
remove
appTerm
9243
def
appTerm
66
ref
8991
ref
9234
remove
appTerm
9244
def
appTerm
8991
ref
9235
remove
appTerm
9245
def
appTerm
9246
def
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
8943
ref
2905
ref
9240
ref
nil
cons
cons
9247
def
2904
ref
9241
ref
nil
cons
9248
def
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
8943
ref
2905
ref
9243
remove
nil
cons
cons
2904
ref
9246
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
153
ref
nil
8943
ref
2905
ref
9242
ref
nil
cons
cons
2904
ref
9196
remove
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
nil
8943
ref
2905
ref
9244
ref
nil
cons
cons
9249
def
2904
ref
9245
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4974
ref
subst
appThm
trans
appThm
trans
trans
153
ref
153
ref
nil
"f"
147
remove
var
148
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
216
ref
"B"
146
remove
cons
nil
cons
9250
def
cons
23
ref
cons
6102
ref
subst
subst
3311
ref
appThm
nil
"f"
29
remove
var
9251
def
8984
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
216
ref
2178
ref
cons
23
ref
cons
6102
ref
subst
9252
def
subst
trans
9253
def
appThm
153
ref
204
ref
35
ref
204
ref
449
ref
1255
ref
1255
ref
518
ref
nil
"f"
421
remove
var
422
remove
nil
cons
cons
9254
def
nil
cons
nil
cons
cons
212
remove
9250
remove
cons
23
ref
cons
6102
ref
subst
9255
def
subst
6887
ref
appThm
nil
9251
ref
9211
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
9252
ref
subst
trans
9256
def
appThm
appThm
1255
ref
518
ref
nil
9254
ref
472
remove
cons
nil
cons
cons
9255
ref
subst
6887
ref
appThm
nil
9251
ref
9213
remove
nil
cons
cons
1773
ref
cons
nil
cons
cons
9252
ref
subst
trans
9257
def
appThm
appThm
518
ref
1618
ref
6102
ref
appThm
6240
remove
6102
ref
subst
appThm
9258
def
appThm
9259
def
appThm
appThm
appThm
3366
ref
appThm
absThm
appThm
absThm
appThm
appThm
2382
remove
nil
"f"
1415
remove
var
1416
ref
nil
cons
cons
1457
ref
cons
nil
cons
cons
1452
ref
"B"
1414
remove
cons
nil
cons
cons
23
ref
cons
6102
ref
subst
subst
9260
def
3311
ref
appThm
nil
"f"
1413
remove
var
9014
remove
nil
cons
cons
9261
def
221
ref
cons
nil
cons
cons
216
ref
8376
remove
cons
23
ref
cons
6102
ref
subst
9262
def
subst
trans
9263
def
appThm
9260
remove
6887
remove
appThm
nil
9261
remove
1773
ref
cons
nil
cons
cons
9262
remove
subst
trans
appThm
9264
def
appThm
appThm
appThm
1255
ref
518
ref
nil
9251
ref
7865
remove
cons
9265
def
1773
remove
cons
nil
cons
cons
9252
ref
subst
appThm
appThm
1255
ref
518
ref
9253
remove
appThm
appThm
1255
ref
518
ref
9264
remove
appThm
appThm
153
ref
153
ref
9256
remove
appThm
9257
remove
appThm
appThm
1255
ref
153
ref
9258
ref
appThm
6224
ref
refl
9266
def
appThm
appThm
153
ref
9259
ref
appThm
3366
ref
appThm
appThm
appThm
appThm
appThm
appThm
appThm
8868
remove
assume
eqMp
9267
def
nil
108
ref
66
ref
8985
ref
appTerm
66
ref
166
ref
35
ref
166
ref
449
ref
456
ref
456
ref
419
ref
9212
ref
appTerm
9268
def
appTerm
9269
def
456
ref
419
ref
9214
ref
appTerm
9270
def
appTerm
9271
def
9159
ref
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
9272
def
appTerm
9273
def
appTerm
9099
ref
appTerm
9274
def
appTerm
nil
cons
cons
110
ref
8897
ref
8991
ref
9101
ref
66
ref
9219
remove
appTerm
456
ref
9215
remove
appTerm
66
ref
9159
remove
appTerm
460
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
9275
def
139
ref
subst
proveHyp
eqMp
9276
def
nil
108
ref
66
ref
8897
ref
9240
remove
appTerm
9277
def
appTerm
8897
ref
9241
remove
appTerm
9278
def
appTerm
nil
cons
cons
110
ref
66
ref
66
ref
8897
ref
9242
remove
appTerm
9279
def
appTerm
9192
remove
appTerm
9280
def
appTerm
66
ref
8897
ref
9244
remove
appTerm
9281
def
appTerm
8897
ref
9245
remove
appTerm
9282
def
appTerm
9283
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
9284
def
139
ref
subst
proveHyp
9285
def
nil
108
ref
9280
remove
nil
cons
cons
110
ref
9283
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9286
def
122
ref
subst
proveHyp
nil
108
ref
9279
remove
nil
cons
cons
110
ref
9209
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
eqMp
eqMp
nil
25
ref
9188
remove
cons
43
ref
9156
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
9047
ref
9158
ref
appTerm
9287
def
appTerm
9288
def
appTerm
9289
def
nil
cons
9290
def
cons
43
ref
419
ref
9220
ref
9136
ref
appTerm
9291
def
appTerm
9292
def
nil
cons
9293
def
cons
nil
cons
cons
nil
cons
cons
9294
def
140
ref
subst
9294
ref
76
ref
subst
9294
remove
107
ref
subst
nil
8902
ref
2905
ref
9287
ref
nil
cons
9295
def
cons
nil
cons
9296
def
cons
nil
cons
cons
9297
def
8925
ref
subst
9298
def
nil
9060
ref
2905
ref
9217
ref
cons
nil
cons
9299
def
cons
nil
cons
cons
9300
def
8925
ref
subst
9301
def
proveHyp
9297
ref
8941
ref
subst
9298
remove
9300
ref
8941
ref
subst
9302
def
proveHyp
9154
remove
proveHyp
proveHyp
nil
9218
ref
2905
ref
9143
ref
cons
nil
cons
cons
nil
cons
cons
9303
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9290
ref
cons
110
ref
9293
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9289
ref
appTerm
9292
ref
appTerm
nil
cons
cons
43
ref
50
ref
9292
remove
appTerm
9289
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9293
ref
cons
43
ref
9290
ref
cons
nil
cons
cons
nil
cons
cons
9304
def
76
ref
subst
9304
remove
107
ref
subst
9303
ref
8925
ref
subst
9305
def
9149
remove
proveHyp
9305
remove
9150
remove
proveHyp
9303
remove
8941
ref
subst
9300
remove
8963
ref
subst
9306
def
proveHyp
proveHyp
9297
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9293
remove
cons
110
ref
9290
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9288
ref
nil
cons
9307
def
cons
2905
ref
9291
ref
nil
cons
9308
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9047
ref
9160
ref
9158
ref
appTerm
9309
def
appTerm
9310
def
appTerm
9311
def
nil
cons
9312
def
cons
43
ref
419
ref
9160
ref
9287
ref
appTerm
9313
def
appTerm
9314
def
nil
cons
9315
def
cons
nil
cons
cons
nil
cons
cons
9316
def
140
ref
subst
9316
ref
76
ref
subst
9316
remove
107
ref
subst
nil
9060
ref
2905
ref
9309
ref
nil
cons
9317
def
cons
nil
cons
cons
nil
cons
cons
9318
def
8925
ref
subst
9319
def
nil
9173
ref
9299
ref
cons
nil
cons
cons
9320
def
8941
ref
subst
proveHyp
9318
ref
8941
ref
subst
9319
remove
9320
ref
8925
ref
subst
proveHyp
9306
remove
proveHyp
proveHyp
nil
9173
ref
9296
remove
cons
nil
cons
cons
9321
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9312
ref
cons
110
ref
9315
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9311
ref
appTerm
9314
ref
appTerm
nil
cons
cons
43
ref
50
ref
9314
remove
appTerm
9311
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9315
ref
cons
43
ref
9312
ref
cons
nil
cons
cons
nil
cons
cons
9322
def
76
ref
subst
9322
remove
107
ref
subst
9321
ref
8925
ref
subst
9323
def
9302
remove
proveHyp
9321
remove
8941
ref
subst
9323
remove
9301
remove
proveHyp
9320
remove
8963
ref
subst
proveHyp
proveHyp
9318
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9315
remove
cons
110
ref
9312
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9310
remove
nil
cons
cons
2905
ref
9313
ref
nil
cons
9324
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
9045
ref
appTerm
9325
def
2907
ref
appTerm
appTerm
9047
ref
2907
ref
appTerm
appTerm
absTerm
9326
def
9309
remove
appTerm
9327
def
betaConv
2906
ref
159
ref
2905
ref
6146
remove
absTerm
9328
def
appTerm
9329
def
absTerm
9330
def
9045
ref
appTerm
9331
def
betaConv
nil
161
ref
9330
ref
nil
cons
cons
9332
def
nil
cons
nil
cons
cons
253
ref
subst
2906
ref
nil
96
ref
9329
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
9328
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2905
ref
nil
96
ref
6147
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
6164
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9333
def
nil
25
ref
159
ref
9330
ref
appTerm
nil
cons
cons
9334
def
43
ref
9331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9045
ref
nil
cons
9335
def
cons
nil
cons
9336
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9326
ref
appTerm
nil
cons
cons
43
ref
9327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9326
remove
nil
cons
cons
20
ref
9317
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9335
ref
cons
9337
def
43
ref
9317
ref
cons
nil
cons
cons
nil
cons
cons
9338
def
76
ref
subst
9338
remove
107
ref
subst
2905
ref
52
ref
50
ref
9158
ref
appTerm
9339
def
2907
ref
appTerm
appTerm
9160
ref
2907
ref
appTerm
appTerm
absTerm
9340
def
9158
ref
appTerm
9341
def
betaConv
9330
ref
9158
ref
appTerm
9342
def
betaConv
9333
ref
nil
9334
ref
43
ref
9342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9217
ref
cons
nil
cons
9343
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9344
def
nil
25
ref
159
ref
9340
ref
appTerm
nil
cons
cons
9345
def
43
ref
9341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9340
ref
nil
cons
cons
9346
def
9343
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9217
ref
cons
9347
def
43
ref
9217
ref
cons
nil
cons
9348
def
cons
nil
cons
cons
9349
def
76
ref
subst
9349
remove
107
ref
subst
9157
ref
refl
9350
def
9045
ref
assume
appThm
9158
ref
assume
9351
def
eqMp
eqMp
nil
108
ref
9217
ref
cons
9352
def
110
ref
9217
remove
cons
nil
cons
9353
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
9335
remove
cons
110
ref
9317
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
9324
remove
cons
43
ref
9307
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
9158
ref
appTerm
9354
def
appTerm
9355
def
nil
cons
9356
def
cons
43
ref
419
ref
9220
ref
6224
ref
appTerm
9357
def
appTerm
9358
def
nil
cons
9359
def
cons
nil
cons
cons
nil
cons
cons
9360
def
140
ref
subst
9360
ref
76
ref
subst
9360
remove
107
ref
subst
nil
8902
ref
9299
ref
cons
nil
cons
cons
9361
def
8925
ref
subst
9362
def
9361
ref
8941
ref
subst
9363
def
nil
9218
ref
8945
remove
cons
nil
cons
cons
9364
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9356
ref
cons
110
ref
9359
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9355
ref
appTerm
9358
ref
appTerm
nil
cons
cons
43
ref
50
ref
9358
remove
appTerm
9355
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9359
ref
cons
43
ref
9356
ref
cons
nil
cons
cons
nil
cons
cons
9365
def
76
ref
subst
9365
remove
107
ref
subst
9364
ref
8925
ref
subst
9364
remove
8941
ref
subst
9361
remove
8963
ref
subst
9366
def
proveHyp
proveHyp
eqMp
nil
108
ref
9359
remove
cons
110
ref
9356
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9354
ref
nil
cons
9367
def
cons
2905
ref
9357
ref
nil
cons
9368
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
6227
ref
456
ref
419
ref
9157
remove
6092
ref
appTerm
9369
def
appTerm
9370
def
appTerm
9371
def
9158
ref
appTerm
9372
def
appTerm
9373
def
appTerm
9374
def
nil
cons
9375
def
cons
43
ref
419
ref
9371
ref
9354
ref
appTerm
9376
def
appTerm
9377
def
nil
cons
9378
def
cons
nil
cons
cons
nil
cons
cons
9379
def
140
ref
subst
9379
ref
76
ref
subst
9379
remove
107
ref
subst
nil
8902
remove
2905
ref
9372
ref
nil
cons
9380
def
cons
nil
cons
cons
nil
cons
cons
9381
def
8925
ref
subst
9382
def
nil
2906
ref
9370
remove
nil
cons
cons
9383
def
9299
ref
cons
nil
cons
cons
9384
def
8941
ref
subst
proveHyp
9381
ref
8941
ref
subst
9382
remove
9384
ref
8925
ref
subst
proveHyp
9366
remove
proveHyp
proveHyp
nil
9383
remove
2905
ref
9367
ref
cons
nil
cons
cons
nil
cons
cons
9385
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9375
ref
cons
110
ref
9378
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9374
ref
appTerm
9377
ref
appTerm
nil
cons
cons
43
ref
50
ref
9377
remove
appTerm
9374
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9378
ref
cons
43
ref
9375
ref
cons
nil
cons
cons
nil
cons
cons
9386
def
76
ref
subst
9386
remove
107
ref
subst
9385
ref
8925
ref
subst
9387
def
9363
remove
proveHyp
9385
remove
8941
ref
subst
9387
remove
9362
remove
proveHyp
9384
remove
8963
ref
subst
proveHyp
proveHyp
9381
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9378
remove
cons
110
ref
9375
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9373
remove
nil
cons
cons
2905
ref
9376
ref
nil
cons
9388
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
460
ref
appTerm
2907
ref
appTerm
appTerm
6227
ref
2907
ref
appTerm
appTerm
absTerm
9389
def
9372
remove
appTerm
9390
def
betaConv
9330
ref
460
ref
appTerm
9391
def
betaConv
9333
ref
nil
9334
ref
43
ref
9391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
6265
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9389
ref
appTerm
nil
cons
cons
43
ref
9390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9389
remove
nil
cons
cons
20
ref
9380
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
6235
remove
43
ref
9380
ref
cons
nil
cons
cons
nil
cons
cons
9392
def
76
ref
subst
9392
remove
107
ref
subst
2905
ref
52
ref
50
ref
9369
ref
appTerm
9393
def
2907
ref
appTerm
appTerm
9371
ref
2907
ref
appTerm
appTerm
absTerm
9394
def
9158
ref
appTerm
9395
def
betaConv
9330
ref
9369
ref
appTerm
9396
def
betaConv
9333
ref
nil
9334
ref
43
ref
9396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9369
ref
nil
cons
9397
def
cons
nil
cons
9398
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9394
ref
appTerm
nil
cons
cons
43
ref
9395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9394
remove
nil
cons
cons
9343
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9397
ref
cons
9399
def
9348
ref
cons
nil
cons
cons
9400
def
76
ref
subst
9400
remove
107
ref
subst
9350
remove
6091
ref
refl
6237
remove
appThm
appThm
9369
ref
assume
eqMp
eqMp
nil
108
ref
9397
remove
cons
9353
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6233
remove
110
ref
9380
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
9388
remove
cons
43
ref
9367
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
6092
ref
refl
nil
9399
remove
43
ref
50
ref
9376
remove
appTerm
9354
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9393
remove
50
ref
9371
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9401
def
9354
remove
appTerm
9402
def
betaConv
2906
ref
159
ref
2904
ref
3766
ref
50
ref
4998
remove
2912
ref
appTerm
appTerm
9403
def
2912
ref
appTerm
appTerm
9404
def
absTerm
9405
def
appTerm
9406
def
absTerm
9407
def
9369
remove
appTerm
9408
def
betaConv
nil
161
ref
9407
ref
nil
cons
cons
9409
def
nil
cons
nil
cons
cons
253
ref
subst
2906
ref
nil
96
ref
9406
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
9405
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2904
ref
nil
96
ref
9404
remove
nil
cons
9410
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
4719
ref
43
ref
9410
ref
cons
nil
cons
9411
def
cons
nil
cons
cons
9412
def
76
ref
subst
9412
remove
107
ref
subst
52
ref
"_650"
3
ref
var
9413
def
50
ref
9413
remove
varTerm
9414
def
appTerm
50
ref
456
ref
419
ref
9414
remove
appTerm
appTerm
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9415
def
2914
ref
appTerm
9416
def
appTerm
refl
9417
def
9415
ref
15
ref
appTerm
betaConv
appThm
77
ref
9416
remove
betaConv
appThm
9418
def
529
ref
50
ref
2577
remove
2912
ref
appTerm
appTerm
9419
def
2912
ref
appTerm
9420
def
appTerm
refl
appThm
trans
9415
remove
refl
9421
def
4735
ref
appThm
eqMp
sym
nil
96
ref
9420
remove
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
9410
ref
cons
nil
cons
9422
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
9411
remove
cons
nil
cons
cons
9423
def
76
ref
subst
9423
remove
107
ref
subst
9417
remove
"_648"
3
ref
var
9424
def
50
ref
9424
remove
varTerm
9425
def
appTerm
50
ref
456
ref
419
ref
9425
remove
appTerm
appTerm
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
9418
remove
497
ref
50
ref
2588
remove
2912
ref
appTerm
appTerm
9426
def
2912
ref
appTerm
9427
def
appTerm
refl
appThm
trans
9421
remove
4752
ref
appThm
eqMp
sym
nil
96
ref
9427
remove
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
51
ref
2590
remove
4824
ref
appThm
4825
remove
trans
appThm
9428
def
4824
ref
appThm
2930
remove
573
ref
subst
trans
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
9422
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
9410
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9429
def
nil
25
ref
159
ref
9407
ref
appTerm
nil
cons
cons
9430
def
43
ref
9408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9398
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9401
ref
appTerm
nil
cons
cons
43
ref
9402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9401
remove
nil
cons
cons
20
ref
9367
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9368
remove
cons
43
ref
50
ref
9313
remove
appTerm
9288
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9357
ref
appTerm
50
ref
9160
ref
2912
ref
appTerm
appTerm
9431
def
6227
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
9432
def
9287
remove
appTerm
9433
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
9220
remove
2907
ref
appTerm
appTerm
9431
ref
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
9434
def
6224
ref
appTerm
9435
def
betaConv
2906
ref
159
ref
2905
ref
159
ref
2904
ref
50
ref
4721
ref
appTerm
9436
def
9403
remove
4810
ref
appTerm
appTerm
9437
def
absTerm
9438
def
appTerm
9439
def
absTerm
9440
def
appTerm
9441
def
absTerm
9442
def
9158
ref
appTerm
9443
def
betaConv
nil
161
ref
9442
ref
nil
cons
cons
9444
def
nil
cons
nil
cons
cons
253
ref
subst
2906
ref
nil
96
ref
9441
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
9440
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2905
ref
nil
96
ref
9439
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
9438
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2904
ref
nil
96
ref
9437
remove
nil
cons
9445
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
4719
ref
43
ref
9445
ref
cons
nil
cons
9446
def
cons
nil
cons
cons
9447
def
76
ref
subst
9447
remove
107
ref
subst
52
ref
"_654"
3
ref
var
9448
def
50
ref
456
ref
9448
remove
varTerm
9449
def
appTerm
2907
ref
appTerm
appTerm
50
ref
456
ref
419
ref
9449
remove
appTerm
appTerm
2912
ref
appTerm
appTerm
4810
ref
appTerm
appTerm
absTerm
9450
def
2914
ref
appTerm
9451
def
appTerm
refl
9452
def
9450
ref
15
ref
appTerm
betaConv
appThm
77
ref
9451
remove
betaConv
appThm
9453
def
50
ref
4733
ref
appTerm
9454
def
9419
remove
4810
ref
appTerm
appTerm
refl
appThm
trans
9450
remove
refl
9455
def
4735
ref
appThm
eqMp
sym
51
ref
4737
ref
appThm
9456
def
51
ref
2580
remove
4824
remove
appThm
4855
ref
trans
appThm
4826
ref
appThm
4857
remove
501
ref
subst
trans
appThm
sym
nil
2911
remove
43
ref
50
ref
2907
ref
appTerm
4810
ref
appTerm
nil
cons
9457
def
cons
nil
cons
9458
def
cons
nil
cons
cons
9459
def
76
ref
subst
9459
remove
107
ref
subst
52
ref
"_662"
3
ref
var
9460
def
50
ref
9460
remove
varTerm
9461
def
appTerm
456
ref
9461
remove
appTerm
2912
ref
appTerm
appTerm
absTerm
9462
def
2907
ref
appTerm
9463
def
appTerm
refl
9464
def
9462
ref
15
ref
appTerm
betaConv
appThm
77
ref
9463
remove
betaConv
appThm
9465
def
529
ref
4821
ref
appTerm
refl
appThm
trans
9462
remove
refl
9466
def
2928
remove
appThm
eqMp
sym
nil
96
ref
4821
remove
nil
cons
cons
nil
cons
nil
cons
cons
600
ref
subst
sym
94
ref
eqMp
eqMp
eqMp
nil
2938
remove
110
ref
9457
ref
cons
nil
cons
9467
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2942
remove
9458
remove
cons
nil
cons
cons
9468
def
76
ref
subst
9468
remove
107
ref
subst
9464
remove
"_660"
3
ref
var
9469
def
50
ref
9469
remove
varTerm
9470
def
appTerm
456
ref
9470
remove
appTerm
2912
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
9465
remove
497
ref
4853
ref
appTerm
refl
appThm
trans
9466
remove
2946
remove
appThm
eqMp
sym
nil
96
ref
4853
remove
nil
cons
cons
nil
cons
nil
cons
cons
501
ref
subst
4855
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2982
ref
9467
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2986
remove
nil
2982
remove
2987
remove
612
ref
9457
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
9445
ref
cons
nil
cons
9471
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
9446
remove
cons
nil
cons
cons
9472
def
76
ref
subst
9472
remove
107
ref
subst
9452
remove
"_652"
3
ref
var
9473
def
50
ref
456
ref
9473
remove
varTerm
9474
def
appTerm
2907
ref
appTerm
appTerm
50
ref
456
ref
419
ref
9474
remove
appTerm
appTerm
2912
ref
appTerm
appTerm
4810
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
9453
remove
50
ref
4751
ref
appTerm
9475
def
9426
remove
4810
ref
appTerm
appTerm
refl
appThm
trans
9455
remove
4752
ref
appThm
eqMp
sym
51
ref
4753
ref
appThm
9476
def
9428
remove
4826
remove
appThm
appThm
nil
96
ref
2951
remove
4810
ref
appTerm
nil
cons
9477
def
cons
nil
cons
nil
cons
cons
501
ref
subst
trans
sym
nil
2950
remove
43
ref
9477
ref
cons
nil
cons
9478
def
cons
nil
cons
cons
9479
def
76
ref
subst
9479
remove
107
ref
subst
52
ref
"_658"
3
ref
var
9480
def
50
ref
9480
remove
varTerm
9481
def
appTerm
4809
ref
9481
remove
appTerm
appTerm
absTerm
9482
def
2912
ref
appTerm
9483
def
appTerm
refl
9484
def
9482
ref
15
ref
appTerm
betaConv
appThm
77
ref
9483
remove
betaConv
appThm
9485
def
529
ref
4836
remove
appTerm
refl
appThm
trans
9482
remove
refl
9486
def
2963
remove
appThm
eqMp
sym
4839
remove
600
ref
subst
sym
94
ref
eqMp
eqMp
eqMp
nil
2965
remove
110
ref
9477
ref
cons
nil
cons
9487
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2969
remove
9478
remove
cons
nil
cons
cons
9488
def
76
ref
subst
9488
remove
107
ref
subst
9484
remove
"_656"
3
ref
var
9489
def
50
ref
9489
remove
varTerm
9490
def
appTerm
4809
remove
9490
remove
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
9485
remove
497
ref
4844
remove
appTerm
refl
appThm
trans
9486
remove
2973
remove
appThm
eqMp
sym
4846
remove
501
ref
subst
4847
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2977
ref
9487
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2980
remove
nil
2977
remove
2981
remove
612
ref
9477
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
4755
ref
9471
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
9445
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9491
def
nil
25
ref
159
ref
9442
ref
appTerm
nil
cons
cons
9492
def
43
ref
9443
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
9343
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9493
def
nil
25
ref
159
ref
9434
ref
appTerm
nil
cons
cons
9494
def
43
ref
9435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9434
ref
nil
cons
cons
9495
def
20
ref
6225
ref
cons
nil
cons
9496
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9432
ref
appTerm
nil
cons
cons
43
ref
9433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9432
remove
nil
cons
cons
20
ref
9295
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9308
remove
cons
43
ref
50
ref
9166
remove
appTerm
9139
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9291
remove
appTerm
9431
ref
9137
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
9497
def
9138
remove
appTerm
9498
def
betaConv
9434
remove
9136
remove
appTerm
9499
def
betaConv
9493
remove
nil
9494
remove
43
ref
9499
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9495
remove
20
ref
9143
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9497
ref
appTerm
nil
cons
cons
43
ref
9498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9497
remove
nil
cons
cons
20
ref
9144
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9135
remove
cons
43
ref
9096
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9019
ref
9099
ref
appTerm
9500
def
appTerm
9501
def
nil
cons
9502
def
cons
43
ref
419
ref
456
ref
9099
ref
appTerm
9503
def
9018
ref
appTerm
9504
def
appTerm
9505
def
nil
cons
9506
def
cons
nil
cons
cons
nil
cons
cons
9507
def
140
ref
subst
9507
ref
76
ref
subst
9507
remove
107
ref
subst
nil
9032
ref
2905
ref
9099
ref
nil
cons
9508
def
cons
nil
cons
9509
def
cons
nil
cons
cons
9510
def
8925
ref
subst
9511
def
9510
ref
8941
ref
subst
9512
def
nil
2906
ref
9508
ref
cons
2905
ref
9031
ref
cons
nil
cons
cons
nil
cons
cons
9513
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9502
ref
cons
110
ref
9506
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9501
ref
appTerm
9505
ref
appTerm
nil
cons
cons
43
ref
50
ref
9505
remove
appTerm
9501
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9506
ref
cons
43
ref
9502
ref
cons
nil
cons
cons
nil
cons
cons
9514
def
76
ref
subst
9514
remove
107
ref
subst
9513
ref
8925
ref
subst
9513
remove
8941
ref
subst
9510
remove
8963
ref
subst
9515
def
proveHyp
proveHyp
eqMp
nil
108
ref
9506
remove
cons
110
ref
9502
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9500
ref
nil
cons
9516
def
cons
2905
ref
9504
ref
nil
cons
9517
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9019
ref
9101
ref
9099
ref
appTerm
9518
def
appTerm
9519
def
appTerm
9520
def
nil
cons
9521
def
cons
43
ref
419
ref
9101
ref
9500
ref
appTerm
9522
def
appTerm
9523
def
nil
cons
9524
def
cons
nil
cons
cons
nil
cons
cons
9525
def
140
ref
subst
9525
ref
76
ref
subst
9525
remove
107
ref
subst
nil
9032
remove
2905
ref
9518
ref
nil
cons
9526
def
cons
nil
cons
cons
nil
cons
cons
9527
def
8925
ref
subst
9528
def
nil
9117
ref
9509
remove
cons
nil
cons
cons
9529
def
8941
ref
subst
proveHyp
9527
ref
8941
ref
subst
9528
remove
9529
ref
8925
ref
subst
proveHyp
9515
remove
proveHyp
proveHyp
nil
9117
ref
2905
ref
9516
ref
cons
nil
cons
cons
nil
cons
cons
9530
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9521
ref
cons
110
ref
9524
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9520
ref
appTerm
9523
ref
appTerm
nil
cons
cons
43
ref
50
ref
9523
remove
appTerm
9520
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9524
ref
cons
43
ref
9521
ref
cons
nil
cons
cons
nil
cons
cons
9531
def
76
ref
subst
9531
remove
107
ref
subst
9530
ref
8925
ref
subst
9532
def
9512
remove
proveHyp
9530
remove
8941
ref
subst
9532
remove
9511
remove
proveHyp
9529
remove
8963
ref
subst
proveHyp
proveHyp
9527
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9524
remove
cons
110
ref
9521
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9519
remove
nil
cons
cons
2905
ref
9522
ref
nil
cons
9533
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
9017
ref
appTerm
9534
def
2907
ref
appTerm
appTerm
9019
ref
2907
ref
appTerm
appTerm
absTerm
9535
def
9518
remove
appTerm
9536
def
betaConv
9330
ref
9017
ref
appTerm
9537
def
betaConv
9333
ref
nil
9334
ref
43
ref
9537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9017
ref
nil
cons
9538
def
cons
nil
cons
9539
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9535
ref
appTerm
nil
cons
cons
43
ref
9536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9535
remove
nil
cons
cons
20
ref
9526
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9538
ref
cons
9540
def
43
ref
9526
ref
cons
nil
cons
cons
nil
cons
cons
9541
def
76
ref
subst
9541
remove
107
ref
subst
2905
ref
52
ref
50
ref
9099
ref
appTerm
9542
def
2907
ref
appTerm
appTerm
9101
ref
2907
ref
appTerm
appTerm
absTerm
9543
def
9099
ref
appTerm
9544
def
betaConv
9330
ref
9099
ref
appTerm
9545
def
betaConv
9333
ref
nil
9334
ref
43
ref
9545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9508
ref
cons
nil
cons
9546
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9547
def
nil
25
ref
159
ref
9543
ref
appTerm
nil
cons
cons
9548
def
43
ref
9544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9543
ref
nil
cons
cons
9549
def
9546
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9508
ref
cons
9550
def
43
ref
9508
ref
cons
nil
cons
cons
nil
cons
cons
9551
def
76
ref
subst
9551
remove
107
ref
subst
9098
remove
refl
9017
ref
assume
appThm
9099
ref
assume
9552
def
eqMp
eqMp
nil
108
ref
9508
ref
cons
9553
def
110
ref
9508
remove
cons
nil
cons
9554
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
9538
remove
cons
110
ref
9526
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
9533
remove
cons
43
ref
9516
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9267
remove
9275
remove
122
ref
subst
proveHyp
9555
def
nil
108
ref
8985
ref
nil
cons
9556
def
cons
110
ref
9274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9557
def
139
ref
subst
proveHyp
9558
def
nil
108
ref
9273
remove
nil
cons
9559
def
cons
9554
remove
cons
nil
cons
cons
9560
def
139
ref
subst
proveHyp
9561
def
nil
9550
ref
43
ref
50
ref
9522
remove
appTerm
9500
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9542
remove
50
ref
9101
ref
2912
ref
appTerm
appTerm
9562
def
2912
ref
appTerm
appTerm
absTerm
9563
def
9500
remove
appTerm
9564
def
betaConv
9407
ref
9099
ref
appTerm
9565
def
betaConv
9429
ref
nil
9430
ref
43
ref
9565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9546
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9566
def
nil
25
ref
159
ref
9563
ref
appTerm
nil
cons
cons
9567
def
43
ref
9564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9563
ref
nil
cons
cons
9568
def
20
ref
9516
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
9569
def
nil
25
ref
9517
remove
cons
9570
def
43
ref
50
ref
9108
remove
appTerm
9078
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9504
remove
appTerm
9562
ref
9019
ref
2912
ref
appTerm
9571
def
appTerm
appTerm
absTerm
9572
def
9077
remove
appTerm
9573
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
9503
remove
2907
ref
appTerm
appTerm
9562
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
9574
def
9018
remove
appTerm
9575
def
betaConv
9442
ref
9099
remove
appTerm
9576
def
betaConv
9491
ref
nil
9492
ref
43
ref
9576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
9546
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9574
ref
appTerm
nil
cons
cons
43
ref
9575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9574
remove
nil
cons
cons
20
ref
9031
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9577
def
nil
25
ref
159
ref
9572
ref
appTerm
nil
cons
cons
9578
def
43
ref
9573
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9572
ref
nil
cons
cons
9579
def
20
ref
9082
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9075
remove
cons
43
ref
9042
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9044
ref
refl
9580
def
nil
9337
ref
43
ref
50
ref
9053
remove
appTerm
9021
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9325
remove
50
ref
9047
ref
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9581
def
9021
remove
appTerm
9582
def
betaConv
9407
ref
9045
remove
appTerm
9583
def
betaConv
9429
ref
nil
9430
ref
43
ref
9583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9336
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9584
def
nil
25
ref
159
ref
9581
ref
appTerm
nil
cons
cons
9585
def
43
ref
9582
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9581
ref
nil
cons
cons
9586
def
20
ref
9042
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9043
remove
cons
43
ref
9010
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9016
ref
refl
9587
def
nil
9540
ref
43
ref
50
ref
9024
remove
appTerm
8988
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9534
remove
50
ref
9571
remove
appTerm
2912
ref
appTerm
appTerm
absTerm
9588
def
8988
remove
appTerm
9589
def
betaConv
9407
ref
9017
remove
appTerm
9590
def
betaConv
9429
ref
nil
9430
ref
43
ref
9590
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9539
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9591
def
nil
25
ref
159
ref
9588
ref
appTerm
nil
cons
cons
9592
def
43
ref
9589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9588
ref
nil
cons
cons
9593
def
20
ref
9010
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9011
remove
cons
43
ref
8966
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9555
remove
9557
remove
122
ref
subst
proveHyp
9594
def
nil
25
ref
9556
ref
cons
9595
def
43
ref
50
ref
8992
remove
appTerm
8894
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
8985
ref
appTerm
50
ref
8991
ref
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9596
def
8894
remove
appTerm
9597
def
betaConv
9407
ref
8985
remove
appTerm
9598
def
betaConv
9429
ref
nil
9430
ref
43
ref
9598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
20
ref
9556
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9599
def
nil
25
ref
159
ref
9596
ref
appTerm
nil
cons
cons
9600
def
43
ref
9597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9596
ref
nil
cons
cons
9601
def
20
ref
8966
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
8967
remove
cons
43
ref
6225
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
456
ref
456
ref
419
ref
458
ref
6035
ref
1
ref
8618
remove
8646
ref
cons
opType
constTerm
9602
def
6035
ref
1
ref
8716
ref
8744
remove
cons
opType
constTerm
9603
def
8741
ref
appTerm
9604
def
1418
ref
appTerm
9605
def
appTerm
9606
def
401
ref
appTerm
9607
def
appTerm
9608
def
9607
ref
appTerm
9609
def
appTerm
9610
def
appTerm
9611
def
8892
ref
appTerm
9612
def
appTerm
9613
def
8892
ref
appTerm
9614
def
appTerm
9615
def
nil
cons
9616
def
cons
43
ref
419
ref
9612
ref
appTerm
9617
def
nil
cons
9618
def
cons
nil
cons
cons
nil
cons
cons
9619
def
140
ref
subst
9619
ref
76
ref
subst
9619
remove
107
ref
subst
nil
2906
ref
9612
ref
nil
cons
9620
def
cons
2905
ref
8892
ref
nil
cons
9621
def
cons
nil
cons
9622
def
cons
nil
cons
cons
9623
def
8941
ref
subst
eqMp
nil
108
ref
9616
ref
cons
110
ref
9618
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9615
ref
appTerm
9617
ref
appTerm
nil
cons
cons
43
ref
50
ref
9617
remove
appTerm
9615
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9618
ref
cons
43
ref
9616
ref
cons
nil
cons
cons
nil
cons
cons
9624
def
76
ref
subst
9624
remove
107
ref
subst
nil
2906
ref
9610
ref
nil
cons
9625
def
cons
9626
def
9622
ref
cons
nil
cons
cons
9627
def
8925
ref
subst
9628
def
9623
remove
8963
ref
subst
proveHyp
eqMp
nil
108
ref
9618
remove
cons
110
ref
9616
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9614
ref
nil
cons
9629
def
cons
2905
ref
9620
ref
cons
nil
cons
9630
def
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
456
ref
419
ref
9608
ref
9602
ref
9603
remove
8756
ref
appTerm
9631
def
1418
ref
appTerm
9632
def
appTerm
9633
def
401
ref
appTerm
9634
def
appTerm
9635
def
appTerm
9636
def
appTerm
9637
def
456
ref
419
ref
6035
ref
1
ref
1313
ref
1314
remove
cons
opType
constTerm
1321
ref
appTerm
9638
def
9016
remove
appTerm
9639
def
appTerm
9640
def
appTerm
9641
def
8892
ref
appTerm
9642
def
appTerm
9643
def
appTerm
9644
def
nil
cons
9645
def
cons
43
ref
419
ref
9641
ref
9637
ref
8892
ref
appTerm
9646
def
appTerm
9647
def
appTerm
9648
def
nil
cons
9649
def
cons
nil
cons
cons
nil
cons
cons
9650
def
140
ref
subst
9650
ref
76
ref
subst
9650
remove
107
ref
subst
nil
2906
ref
9636
ref
nil
cons
9651
def
cons
9652
def
2905
ref
9642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9653
def
8925
ref
subst
9654
def
nil
2906
ref
9640
remove
nil
cons
cons
9655
def
9622
ref
cons
nil
cons
cons
9656
def
8941
ref
subst
proveHyp
9653
ref
8941
ref
subst
9654
remove
9656
ref
8925
ref
subst
proveHyp
nil
9652
remove
9622
ref
cons
nil
cons
cons
9657
def
8963
ref
subst
proveHyp
proveHyp
nil
9655
remove
2905
ref
9646
ref
nil
cons
9658
def
cons
nil
cons
cons
nil
cons
cons
9659
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9645
ref
cons
110
ref
9649
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9644
ref
appTerm
9648
ref
appTerm
nil
cons
cons
43
ref
50
ref
9648
remove
appTerm
9644
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9649
ref
cons
43
ref
9645
ref
cons
nil
cons
cons
nil
cons
cons
9660
def
76
ref
subst
9660
remove
107
ref
subst
9659
ref
8925
ref
subst
9661
def
9657
ref
8941
ref
subst
proveHyp
9659
remove
8941
ref
subst
9661
remove
9657
remove
8925
ref
subst
proveHyp
9656
remove
8963
ref
subst
proveHyp
proveHyp
9653
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9649
remove
cons
110
ref
9645
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9643
remove
nil
cons
cons
2905
ref
9647
ref
nil
cons
9662
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
"__7"
28
ref
var
9663
def
448
remove
cons
"__6"
1411
ref
var
9664
def
1456
ref
cons
nil
cons
cons
nil
cons
cons
9665
def
nil
"_11290"
1411
ref
var
9666
def
9664
remove
varTerm
nil
cons
cons
"_11291"
28
ref
var
9667
def
9663
remove
varTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
9668
def
38
ref
66
ref
66
ref
66
ref
456
ref
8890
ref
9210
ref
9602
ref
9604
remove
9666
remove
varTerm
9669
def
appTerm
appTerm
9670
def
39
ref
appTerm
9671
def
appTerm
appTerm
39
ref
appTerm
appTerm
9672
def
456
ref
9638
ref
9012
remove
9013
remove
9669
ref
appTerm
appTerm
9673
def
39
ref
appTerm
appTerm
9674
def
appTerm
419
ref
8891
ref
39
ref
appTerm
9675
def
appTerm
9676
def
appTerm
9677
def
appTerm
appTerm
66
ref
456
ref
8890
ref
9210
ref
9602
ref
9631
remove
9669
ref
appTerm
appTerm
9678
def
39
ref
appTerm
9679
def
appTerm
appTerm
39
ref
appTerm
appTerm
9680
def
9677
ref
appTerm
appTerm
456
ref
1436
ref
6090
remove
9669
ref
appTerm
9681
def
9671
ref
appTerm
appTerm
9681
ref
9679
ref
appTerm
appTerm
appTerm
9682
def
9677
ref
appTerm
appTerm
appTerm
appTerm
456
ref
419
ref
458
ref
9671
remove
appTerm
9679
remove
appTerm
appTerm
appTerm
9683
def
9677
remove
appTerm
appTerm
appTerm
66
ref
66
ref
9672
remove
456
ref
419
ref
9674
remove
appTerm
appTerm
9675
ref
appTerm
9684
def
appTerm
appTerm
66
ref
9680
remove
9684
ref
appTerm
appTerm
9682
remove
9684
ref
appTerm
appTerm
appTerm
appTerm
9683
remove
9684
remove
appTerm
appTerm
appTerm
absTerm
9685
def
9667
remove
varTerm
9686
def
appTerm
9687
def
betaConv
1417
ref
200
ref
38
ref
66
ref
66
ref
66
ref
456
ref
8890
ref
9210
ref
9606
remove
39
ref
appTerm
9688
def
appTerm
9689
def
appTerm
39
ref
appTerm
9690
def
appTerm
9691
def
456
ref
9638
ref
9097
ref
appTerm
9692
def
appTerm
9676
remove
appTerm
9693
def
appTerm
9694
def
appTerm
66
ref
456
ref
8890
ref
9210
ref
9633
remove
39
ref
appTerm
9695
def
appTerm
9696
def
appTerm
39
ref
appTerm
9697
def
appTerm
9698
def
9693
ref
appTerm
appTerm
456
ref
1436
ref
6091
ref
9688
ref
appTerm
appTerm
6091
ref
9695
ref
appTerm
appTerm
9699
def
appTerm
9700
def
9693
ref
appTerm
appTerm
appTerm
appTerm
456
ref
419
ref
458
ref
9688
ref
appTerm
9695
ref
appTerm
appTerm
9701
def
appTerm
9702
def
9693
ref
appTerm
9703
def
appTerm
appTerm
66
ref
66
ref
9691
remove
456
ref
419
ref
9692
ref
appTerm
appTerm
9704
def
9675
remove
appTerm
9705
def
appTerm
9706
def
appTerm
66
ref
9698
remove
9705
ref
appTerm
appTerm
9700
remove
9705
ref
appTerm
appTerm
appTerm
appTerm
9702
remove
9705
ref
appTerm
9707
def
appTerm
appTerm
absTerm
appTerm
absTerm
9708
def
9669
ref
appTerm
9709
def
betaConv
1431
ref
1417
ref
205
ref
38
ref
nil
2906
ref
66
ref
66
ref
9690
ref
appTerm
66
ref
9697
ref
appTerm
9699
ref
appTerm
9710
def
appTerm
9711
def
appTerm
9701
ref
appTerm
nil
cons
cons
2905
ref
9693
remove
nil
cons
9712
def
cons
2904
ref
9705
remove
nil
cons
cons
nil
cons
9713
def
cons
cons
nil
cons
cons
4974
remove
subst
153
ref
nil
2906
ref
9711
remove
nil
cons
cons
9714
def
2905
ref
9701
remove
nil
cons
cons
9715
def
2904
ref
9712
remove
cons
nil
cons
9716
def
cons
cons
nil
cons
cons
4858
ref
subst
153
ref
nil
2906
ref
9690
remove
nil
cons
cons
9717
def
2905
ref
9710
remove
nil
cons
cons
9718
def
9716
ref
cons
cons
nil
cons
cons
4858
ref
subst
153
ref
9694
remove
refl
appThm
nil
2906
ref
9697
remove
nil
cons
cons
9719
def
2905
ref
9699
remove
nil
cons
cons
9720
def
9716
remove
cons
cons
nil
cons
cons
4858
ref
subst
appThm
trans
appThm
9703
remove
refl
appThm
trans
appThm
nil
9714
remove
9715
remove
9713
ref
cons
cons
nil
cons
cons
4858
ref
subst
153
ref
nil
9717
remove
9718
remove
9713
ref
cons
cons
nil
cons
cons
4858
ref
subst
153
ref
9706
remove
refl
appThm
nil
9719
remove
9720
remove
9713
remove
cons
cons
nil
cons
cons
4858
remove
subst
appThm
trans
appThm
9707
remove
refl
appThm
trans
appThm
trans
absThm
appThm
absThm
appThm
1431
ref
1417
ref
205
ref
38
ref
1255
ref
153
ref
153
ref
519
ref
nil
8721
ref
8741
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
1452
remove
8656
remove
nil
cons
cons
23
ref
cons
6102
ref
subst
9721
def
subst
3311
ref
appThm
nil
8622
ref
9605
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
216
remove
1277
remove
cons
23
ref
cons
6102
ref
subst
9722
def
subst
trans
9723
def
appThm
3311
ref
appThm
nil
9254
ref
35
ref
9688
remove
nil
cons
cons
nil
cons
9724
def
cons
nil
cons
cons
9255
ref
subst
3311
ref
appThm
nil
9251
ref
9689
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
9252
ref
subst
trans
trans
appThm
153
ref
519
remove
nil
8721
remove
8756
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
9721
remove
subst
3311
ref
appThm
nil
8622
remove
9632
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
9722
remove
subst
trans
9725
def
appThm
3311
ref
appThm
nil
9254
remove
35
ref
9695
remove
nil
cons
cons
nil
cons
9726
def
cons
nil
cons
cons
9255
remove
subst
3311
ref
appThm
nil
9251
remove
9696
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
9252
ref
subst
trans
trans
appThm
1618
remove
1659
ref
9723
ref
appThm
nil
9724
remove
nil
cons
cons
6102
ref
subst
trans
appThm
1659
ref
9725
ref
appThm
nil
9726
remove
nil
cons
cons
6102
ref
subst
trans
appThm
appThm
appThm
appThm
518
ref
3585
remove
9723
remove
appThm
9725
remove
appThm
appThm
appThm
appThm
153
ref
1255
ref
1432
ref
9263
remove
appThm
nil
"f"
1313
remove
var
1321
ref
nil
cons
cons
1872
remove
9097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1869
remove
2178
remove
cons
23
ref
cons
6102
remove
subst
subst
trans
9727
def
appThm
518
ref
nil
9265
remove
221
ref
cons
nil
cons
cons
9252
remove
subst
9728
def
appThm
appThm
appThm
1255
ref
518
ref
9727
ref
appThm
appThm
9728
remove
appThm
appThm
appThm
absThm
appThm
absThm
appThm
8762
remove
assume
eqMp
eqMp
nil
25
ref
1430
ref
9708
ref
appTerm
nil
cons
cons
43
ref
9709
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
9708
remove
nil
cons
cons
1455
ref
9669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
9685
ref
appTerm
nil
cons
cons
43
ref
9687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
9685
remove
nil
cons
cons
219
ref
9686
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
108
ref
66
ref
66
ref
456
ref
8890
ref
9210
ref
9670
remove
9686
ref
appTerm
9729
def
appTerm
appTerm
9686
ref
appTerm
9730
def
appTerm
9731
def
456
ref
9638
ref
9673
remove
9686
ref
appTerm
appTerm
9732
def
appTerm
419
ref
8891
remove
9686
ref
appTerm
9733
def
appTerm
appTerm
9734
def
appTerm
appTerm
66
ref
456
ref
8890
ref
9210
ref
9678
remove
9686
ref
appTerm
9735
def
appTerm
appTerm
9686
remove
appTerm
9736
def
appTerm
9737
def
9734
ref
appTerm
appTerm
456
ref
1436
ref
9681
ref
9729
ref
appTerm
appTerm
9681
remove
9735
ref
appTerm
appTerm
9738
def
appTerm
9739
def
9734
ref
appTerm
appTerm
appTerm
appTerm
456
ref
419
ref
458
ref
9729
remove
appTerm
9735
remove
appTerm
appTerm
appTerm
9740
def
9734
remove
appTerm
appTerm
nil
cons
cons
110
ref
66
ref
66
ref
9731
remove
456
ref
419
ref
9732
remove
appTerm
9741
def
appTerm
9742
def
9733
ref
appTerm
9743
def
appTerm
9744
def
appTerm
66
ref
9737
remove
9743
ref
appTerm
9745
def
appTerm
9739
ref
9743
ref
appTerm
9746
def
appTerm
9747
def
appTerm
9748
def
appTerm
9740
remove
9743
ref
appTerm
9749
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
9750
def
nil
108
ref
9748
remove
nil
cons
cons
110
ref
9749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9751
def
139
ref
subst
proveHyp
subst
subst
eqMp
nil
25
ref
9662
remove
cons
43
ref
9658
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9543
remove
9704
ref
9639
ref
appTerm
9752
def
appTerm
9753
def
betaConv
9547
remove
nil
9548
remove
43
ref
9753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9549
remove
20
ref
9752
ref
nil
cons
9754
def
cons
nil
cons
9755
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
9550
ref
43
ref
9754
ref
cons
nil
cons
9756
def
cons
nil
cons
cons
9757
def
76
ref
subst
9757
remove
107
ref
subst
2905
ref
52
ref
50
ref
9692
ref
appTerm
9758
def
2907
ref
appTerm
appTerm
9704
ref
2907
ref
appTerm
appTerm
absTerm
9759
def
9639
ref
appTerm
9760
def
betaConv
9330
ref
9692
ref
appTerm
9761
def
betaConv
9333
ref
nil
9334
ref
43
ref
9761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9692
ref
nil
cons
9762
def
cons
nil
cons
9763
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9759
ref
appTerm
nil
cons
cons
43
ref
9760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9759
remove
nil
cons
cons
20
ref
9639
ref
nil
cons
9764
def
cons
nil
cons
9765
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9762
ref
cons
9766
def
43
ref
9764
ref
cons
nil
cons
9767
def
cons
nil
cons
cons
9768
def
76
ref
subst
9768
remove
107
ref
subst
9638
remove
refl
9552
remove
appThm
9692
ref
assume
eqMp
eqMp
nil
108
ref
9762
remove
cons
110
ref
9764
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
9553
remove
110
ref
9754
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
25
ref
9101
ref
9752
ref
appTerm
9769
def
nil
cons
cons
9756
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
9561
remove
nil
9550
remove
43
ref
50
ref
9769
remove
appTerm
9752
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9563
remove
9752
ref
appTerm
9770
def
betaConv
9566
remove
nil
9567
remove
43
ref
9770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9568
remove
9755
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9754
remove
cons
9767
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
9727
remove
1421
ref
assume
eqMp
nil
9766
remove
43
ref
50
ref
9752
remove
appTerm
9639
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9758
remove
50
ref
9704
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9771
def
9639
ref
appTerm
9772
def
betaConv
9407
ref
9692
remove
appTerm
9773
def
betaConv
9429
ref
nil
9430
ref
43
ref
9773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9763
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9771
ref
appTerm
nil
cons
cons
43
ref
9772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9771
remove
nil
cons
cons
9765
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
9774
def
nil
25
ref
9764
remove
cons
9775
def
43
ref
50
ref
9647
remove
appTerm
9646
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9639
ref
appTerm
50
ref
9641
ref
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
9776
def
9646
ref
appTerm
9777
def
betaConv
9407
ref
9639
remove
appTerm
9778
def
betaConv
9429
ref
nil
9430
ref
43
ref
9778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9765
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
9779
def
nil
25
ref
159
ref
9776
ref
appTerm
nil
cons
cons
9780
def
43
ref
9777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9776
ref
nil
cons
cons
9781
def
20
ref
9658
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9658
remove
cons
43
ref
9629
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9611
ref
456
ref
9635
ref
appTerm
9782
def
8892
ref
appTerm
9783
def
appTerm
9784
def
appTerm
9785
def
nil
cons
9786
def
cons
9787
def
43
ref
419
ref
9782
ref
9612
ref
appTerm
9788
def
appTerm
9789
def
nil
cons
9790
def
cons
nil
cons
cons
nil
cons
cons
9791
def
140
ref
subst
9791
ref
76
ref
subst
9791
remove
107
ref
subst
nil
9626
ref
2905
ref
9783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9792
def
8925
ref
subst
9793
def
nil
2906
ref
9635
ref
nil
cons
9794
def
cons
9795
def
9622
ref
cons
nil
cons
cons
9796
def
8941
ref
subst
proveHyp
9797
def
9792
ref
8941
ref
subst
9798
def
9793
remove
9796
ref
8925
ref
subst
proveHyp
9799
def
9627
ref
8963
ref
subst
proveHyp
proveHyp
nil
9795
ref
9630
remove
cons
nil
cons
cons
9800
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9786
ref
cons
9801
def
110
ref
9790
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9785
ref
appTerm
9802
def
9789
ref
appTerm
nil
cons
cons
43
ref
50
ref
9789
remove
appTerm
9785
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9790
ref
cons
43
ref
9786
ref
cons
nil
cons
9803
def
cons
nil
cons
cons
9804
def
76
ref
subst
9804
remove
107
ref
subst
9800
ref
8925
ref
subst
9805
def
9627
remove
8941
ref
subst
proveHyp
9800
remove
8941
ref
subst
9805
remove
9628
remove
proveHyp
9796
remove
8963
ref
subst
9806
def
proveHyp
proveHyp
9792
remove
8963
ref
subst
9807
def
proveHyp
proveHyp
eqMp
nil
108
ref
9790
remove
cons
110
ref
9786
remove
cons
nil
cons
9808
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9784
remove
nil
cons
9809
def
cons
2905
ref
9788
ref
nil
cons
9810
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
456
ref
8892
ref
appTerm
9811
def
9611
ref
9635
ref
appTerm
9812
def
appTerm
9813
def
appTerm
9814
def
nil
cons
9815
def
cons
9803
remove
cons
nil
cons
cons
9816
def
140
ref
subst
9816
ref
76
ref
subst
9816
remove
107
ref
subst
nil
2906
ref
9621
ref
cons
9817
def
2905
ref
9812
ref
nil
cons
9818
def
cons
nil
cons
9819
def
cons
nil
cons
cons
9820
def
8925
ref
subst
9821
def
nil
9626
ref
2905
ref
9794
ref
cons
nil
cons
9822
def
cons
nil
cons
cons
9823
def
8941
ref
subst
9824
def
proveHyp
9821
remove
9823
ref
8925
ref
subst
9825
def
proveHyp
9820
ref
8941
ref
subst
9806
remove
proveHyp
proveHyp
9807
remove
proveHyp
proveHyp
eqMp
nil
108
ref
9815
ref
cons
9808
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9814
ref
appTerm
9785
remove
appTerm
nil
cons
cons
43
ref
9802
remove
9814
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
9787
remove
43
ref
9815
ref
cons
nil
cons
cons
nil
cons
cons
9826
def
76
ref
subst
9826
remove
107
ref
subst
9799
remove
9798
remove
9797
remove
9823
remove
8963
ref
subst
9827
def
proveHyp
proveHyp
9820
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
9801
remove
110
ref
9815
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9813
ref
nil
cons
9828
def
cons
2905
ref
9809
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9611
ref
456
ref
419
ref
458
ref
9634
ref
appTerm
9829
def
9607
ref
appTerm
9830
def
appTerm
9831
def
appTerm
9832
def
9635
ref
appTerm
9833
def
appTerm
9834
def
appTerm
9835
def
nil
cons
9836
def
cons
9837
def
43
ref
419
ref
9832
ref
9812
ref
appTerm
9838
def
appTerm
9839
def
nil
cons
9840
def
cons
nil
cons
cons
nil
cons
cons
9841
def
140
ref
subst
9841
ref
76
ref
subst
9841
remove
107
ref
subst
nil
9626
remove
2905
ref
9833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9842
def
8925
ref
subst
9843
def
nil
2906
ref
9831
remove
nil
cons
cons
9844
def
9822
remove
cons
nil
cons
cons
9845
def
8941
ref
subst
proveHyp
9846
def
9842
ref
8941
ref
subst
9847
def
9843
remove
9845
ref
8925
ref
subst
proveHyp
9848
def
9827
remove
proveHyp
proveHyp
nil
9844
ref
9819
remove
cons
nil
cons
cons
9849
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9836
ref
cons
9850
def
110
ref
9840
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9835
ref
appTerm
9851
def
9839
ref
appTerm
nil
cons
cons
43
ref
50
ref
9839
remove
appTerm
9835
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9840
ref
cons
43
ref
9836
ref
cons
nil
cons
9852
def
cons
nil
cons
cons
9853
def
76
ref
subst
9853
remove
107
ref
subst
9849
ref
8925
ref
subst
9854
def
9824
remove
proveHyp
9849
remove
8941
ref
subst
9854
remove
9825
remove
proveHyp
9845
remove
8963
ref
subst
9855
def
proveHyp
proveHyp
9842
remove
8963
ref
subst
9856
def
proveHyp
proveHyp
eqMp
nil
108
ref
9840
remove
cons
110
ref
9836
remove
cons
nil
cons
9857
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9834
remove
nil
cons
9858
def
cons
2905
ref
9838
ref
nil
cons
9859
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9832
ref
9782
ref
9610
ref
appTerm
9860
def
appTerm
9861
def
appTerm
9862
def
nil
cons
9863
def
cons
9852
remove
cons
nil
cons
cons
9864
def
140
ref
subst
9864
ref
76
ref
subst
9864
remove
107
ref
subst
nil
9844
remove
2905
ref
9860
ref
nil
cons
9865
def
cons
nil
cons
cons
nil
cons
cons
9866
def
8925
ref
subst
9867
def
nil
9795
remove
2905
ref
9625
ref
cons
nil
cons
cons
nil
cons
cons
9868
def
8925
ref
subst
proveHyp
9866
ref
8941
ref
subst
9867
remove
9868
ref
8941
ref
subst
proveHyp
9855
remove
proveHyp
proveHyp
9856
remove
proveHyp
proveHyp
eqMp
nil
108
ref
9863
ref
cons
9857
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9862
ref
appTerm
9835
remove
appTerm
nil
cons
cons
43
ref
9851
remove
9862
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
9837
remove
43
ref
9863
ref
cons
nil
cons
cons
nil
cons
cons
9869
def
76
ref
subst
9869
remove
107
ref
subst
9846
remove
9848
remove
9847
remove
9868
remove
8963
ref
subst
proveHyp
proveHyp
9866
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
9850
remove
110
ref
9863
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9861
remove
nil
cons
cons
2905
ref
9858
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
9830
ref
appTerm
2907
ref
appTerm
appTerm
9832
ref
2907
ref
appTerm
appTerm
absTerm
9870
def
9860
remove
appTerm
9871
def
betaConv
9330
ref
9830
ref
appTerm
9872
def
betaConv
9333
ref
nil
9334
ref
43
ref
9872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9830
ref
nil
cons
9873
def
cons
nil
cons
9874
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9870
ref
appTerm
nil
cons
cons
43
ref
9871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9870
remove
nil
cons
cons
20
ref
9865
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9873
ref
cons
43
ref
9865
ref
cons
nil
cons
cons
nil
cons
cons
9875
def
76
ref
subst
9875
remove
107
ref
subst
2905
ref
52
ref
50
ref
9636
ref
appTerm
2907
ref
appTerm
appTerm
9782
remove
2907
ref
appTerm
9876
def
appTerm
absTerm
9877
def
9610
remove
appTerm
9878
def
betaConv
2906
ref
159
ref
2905
ref
52
ref
2952
ref
2907
ref
appTerm
9879
def
appTerm
4721
remove
appTerm
9880
def
absTerm
9881
def
appTerm
9882
def
absTerm
9883
def
9635
ref
appTerm
9884
def
betaConv
nil
161
ref
9883
ref
nil
cons
cons
9885
def
nil
cons
nil
cons
cons
253
ref
subst
2906
ref
nil
96
ref
9882
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
9881
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2905
ref
nil
96
ref
9880
remove
nil
cons
9886
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
4719
ref
43
ref
9886
ref
cons
nil
cons
9887
def
cons
nil
cons
cons
9888
def
76
ref
subst
9888
remove
107
ref
subst
52
ref
"_666"
3
ref
var
9889
def
52
ref
50
ref
419
ref
9889
remove
varTerm
9890
def
appTerm
appTerm
2907
ref
appTerm
appTerm
456
ref
9890
remove
appTerm
2907
ref
appTerm
appTerm
absTerm
9891
def
2914
ref
appTerm
9892
def
appTerm
refl
9893
def
9891
ref
15
ref
appTerm
betaConv
appThm
77
ref
9892
remove
betaConv
appThm
9894
def
52
ref
558
remove
2907
ref
appTerm
9895
def
appTerm
4733
remove
appTerm
refl
appThm
trans
9891
remove
refl
9896
def
4735
ref
appThm
eqMp
sym
77
ref
562
remove
6158
ref
appThm
6163
remove
trans
9897
def
appThm
4737
remove
appThm
4742
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
ref
110
ref
9886
ref
cons
nil
cons
9898
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
ref
9887
remove
cons
nil
cons
cons
9899
def
76
ref
subst
9899
remove
107
ref
subst
9893
remove
"_664"
3
ref
var
9900
def
52
ref
50
ref
419
ref
9900
remove
varTerm
9901
def
appTerm
appTerm
2907
ref
appTerm
appTerm
456
ref
9901
remove
appTerm
2907
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
9894
remove
52
ref
586
remove
2907
ref
appTerm
9902
def
appTerm
4751
remove
appTerm
refl
appThm
trans
9896
remove
4752
ref
appThm
eqMp
sym
77
ref
591
remove
6158
remove
appThm
6157
remove
trans
9903
def
appThm
4753
remove
appThm
2386
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
9898
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
ref
nil
4755
ref
4758
ref
612
ref
9886
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
9904
def
nil
25
ref
159
ref
9883
ref
appTerm
nil
cons
cons
9905
def
43
ref
9884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9885
ref
20
ref
9794
remove
cons
nil
cons
9906
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
9877
ref
appTerm
nil
cons
cons
43
ref
9878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
9877
remove
nil
cons
cons
20
ref
9625
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
9651
ref
cons
43
ref
9625
ref
cons
nil
cons
cons
nil
cons
cons
9907
def
76
ref
subst
9907
remove
107
ref
subst
518
ref
9608
remove
refl
9830
ref
assume
appThm
appThm
9636
remove
assume
eqMp
eqMp
nil
108
ref
9651
remove
cons
110
ref
9625
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
9873
ref
cons
110
ref
9865
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9859
remove
cons
43
ref
9828
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9811
ref
456
ref
9830
ref
appTerm
9908
def
8892
ref
appTerm
9909
def
appTerm
9910
def
appTerm
9911
def
nil
cons
9912
def
cons
43
ref
419
ref
9909
ref
appTerm
9913
def
nil
cons
9914
def
cons
nil
cons
cons
nil
cons
cons
9915
def
140
ref
subst
9915
ref
76
ref
subst
9915
remove
107
ref
subst
nil
9817
ref
2905
ref
9909
ref
nil
cons
9916
def
cons
nil
cons
9917
def
cons
nil
cons
cons
9918
def
8925
ref
subst
eqMp
nil
108
ref
9912
ref
cons
110
ref
9914
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9911
ref
appTerm
9913
ref
appTerm
nil
cons
cons
43
ref
50
ref
9913
remove
appTerm
9911
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9914
ref
cons
43
ref
9912
ref
cons
nil
cons
cons
nil
cons
cons
9919
def
76
ref
subst
9919
remove
107
ref
subst
nil
2906
ref
9873
remove
cons
9622
ref
cons
nil
cons
cons
8925
ref
subst
9918
remove
8963
ref
subst
proveHyp
eqMp
nil
108
ref
9914
remove
cons
110
ref
9912
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9910
ref
nil
cons
9920
def
cons
9917
remove
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
"___85"
26
ref
var
9921
def
9607
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
25
ref
419
ref
456
ref
456
ref
419
ref
1436
ref
6091
ref
9607
ref
appTerm
9922
def
appTerm
9923
def
6091
ref
9921
remove
varTerm
9924
def
appTerm
9925
def
appTerm
9926
def
appTerm
9927
def
appTerm
9928
def
8892
ref
appTerm
9929
def
appTerm
9930
def
456
ref
419
ref
8890
ref
9210
ref
9924
ref
appTerm
appTerm
401
ref
appTerm
appTerm
9931
def
appTerm
456
ref
9829
ref
9924
ref
appTerm
9932
def
appTerm
8892
ref
appTerm
9933
def
appTerm
9934
def
appTerm
9935
def
appTerm
9936
def
nil
cons
9937
def
cons
43
ref
419
ref
9928
ref
9934
ref
appTerm
9938
def
appTerm
9939
def
nil
cons
9940
def
cons
nil
cons
cons
nil
cons
cons
9941
def
140
ref
subst
9941
ref
76
ref
subst
9941
remove
107
ref
subst
nil
2906
ref
9929
ref
nil
cons
9942
def
cons
2905
ref
9934
ref
nil
cons
9943
def
cons
nil
cons
9944
def
cons
nil
cons
cons
9945
def
8941
ref
subst
nil
2906
ref
9927
remove
nil
cons
cons
9946
def
9622
ref
cons
nil
cons
cons
9947
def
8941
ref
subst
9948
def
proveHyp
9945
ref
8925
ref
subst
nil
9946
ref
9944
remove
cons
nil
cons
cons
9949
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9937
ref
cons
110
ref
9940
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9936
ref
appTerm
9939
ref
appTerm
nil
cons
cons
43
ref
50
ref
9939
remove
appTerm
9936
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9940
ref
cons
43
ref
9937
ref
cons
nil
cons
cons
nil
cons
cons
9950
def
76
ref
subst
9950
remove
107
ref
subst
9949
ref
8941
ref
subst
9949
remove
8925
ref
subst
9951
def
nil
2906
ref
9931
remove
nil
cons
cons
2905
ref
9933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8925
ref
subst
proveHyp
nil
2906
ref
9932
remove
nil
cons
cons
9622
ref
cons
nil
cons
cons
8925
ref
subst
proveHyp
9947
ref
8963
ref
subst
9952
def
proveHyp
proveHyp
9951
remove
9945
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9940
remove
cons
110
ref
9937
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9935
ref
nil
cons
9953
def
cons
2905
ref
9938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
"___84"
26
ref
var
9954
def
9924
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
25
ref
419
ref
9811
ref
456
ref
419
ref
1436
ref
6091
ref
9634
ref
appTerm
9955
def
appTerm
9956
def
6091
ref
9954
remove
varTerm
9957
def
appTerm
appTerm
appTerm
9958
def
appTerm
9959
def
456
ref
419
ref
8890
ref
9210
ref
9957
ref
appTerm
appTerm
401
ref
appTerm
appTerm
9960
def
appTerm
9961
def
9829
remove
9957
ref
appTerm
9962
def
appTerm
9963
def
appTerm
9964
def
appTerm
9965
def
appTerm
9966
def
nil
cons
9967
def
cons
43
ref
419
ref
9959
ref
9961
ref
456
ref
9962
ref
appTerm
8892
ref
appTerm
9968
def
appTerm
9969
def
appTerm
9970
def
appTerm
9971
def
nil
cons
9972
def
cons
nil
cons
cons
nil
cons
cons
9973
def
140
ref
subst
9973
ref
76
ref
subst
9973
remove
107
ref
subst
nil
9817
ref
2905
ref
9964
ref
nil
cons
9974
def
cons
nil
cons
9975
def
cons
nil
cons
cons
9976
def
8925
ref
subst
9977
def
nil
2906
ref
9958
remove
nil
cons
cons
9978
def
2905
ref
9963
ref
nil
cons
cons
nil
cons
9979
def
cons
nil
cons
cons
9980
def
8941
ref
subst
9981
def
proveHyp
9977
remove
9980
ref
8925
ref
subst
9982
def
proveHyp
9983
def
nil
2906
ref
9960
remove
nil
cons
cons
9984
def
2905
ref
9962
ref
nil
cons
9985
def
cons
nil
cons
9986
def
cons
nil
cons
cons
9987
def
8941
ref
subst
9988
def
proveHyp
9983
remove
9987
ref
8925
ref
subst
9989
def
proveHyp
9976
ref
8941
ref
subst
nil
2906
ref
9985
remove
cons
9622
ref
cons
nil
cons
cons
9990
def
8963
ref
subst
proveHyp
proveHyp
nil
9984
ref
2905
ref
9968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9991
def
8963
ref
subst
proveHyp
proveHyp
nil
9978
ref
2905
ref
9969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9992
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9967
ref
cons
110
ref
9972
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
9966
ref
appTerm
9971
ref
appTerm
nil
cons
cons
43
ref
50
ref
9971
remove
appTerm
9966
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
9972
ref
cons
43
ref
9967
ref
cons
nil
cons
cons
nil
cons
cons
9993
def
76
ref
subst
9993
remove
107
ref
subst
9992
ref
8925
ref
subst
9994
def
9991
ref
8925
ref
subst
proveHyp
9995
def
9990
ref
8925
ref
subst
proveHyp
9992
remove
8941
ref
subst
9994
remove
9991
remove
8941
ref
subst
proveHyp
9995
remove
9990
remove
8941
ref
subst
proveHyp
9987
remove
8963
ref
subst
9996
def
proveHyp
proveHyp
9980
remove
8963
ref
subst
9997
def
proveHyp
proveHyp
9976
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
9972
remove
cons
110
ref
9967
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9965
ref
nil
cons
9998
def
cons
2905
ref
9970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9959
ref
9961
remove
456
ref
419
ref
8890
ref
9210
ref
9634
ref
appTerm
appTerm
401
ref
appTerm
9999
def
appTerm
10000
def
appTerm
10001
def
9962
remove
appTerm
10002
def
appTerm
10003
def
appTerm
10004
def
appTerm
10005
def
nil
cons
10006
def
cons
10007
def
43
ref
419
ref
10001
ref
9964
ref
appTerm
10008
def
appTerm
10009
def
nil
cons
10010
def
cons
nil
cons
cons
nil
cons
cons
10011
def
140
ref
subst
10011
ref
76
ref
subst
10011
remove
107
ref
subst
nil
9978
ref
2905
ref
10003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10012
def
8925
ref
subst
10013
def
nil
9984
remove
2905
ref
10002
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10014
def
8925
ref
subst
proveHyp
10015
def
nil
2906
ref
10000
remove
nil
cons
cons
10016
def
9986
remove
cons
nil
cons
cons
10017
def
8941
ref
subst
proveHyp
10018
def
10012
ref
8941
ref
subst
10019
def
10013
remove
10014
ref
8941
ref
subst
proveHyp
10015
remove
10017
ref
8925
ref
subst
proveHyp
9996
remove
proveHyp
proveHyp
10020
def
9997
remove
proveHyp
proveHyp
nil
10016
ref
9975
remove
cons
nil
cons
cons
10021
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10006
ref
cons
10022
def
110
ref
10010
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10005
ref
appTerm
10023
def
10009
ref
appTerm
nil
cons
cons
43
ref
50
ref
10009
remove
appTerm
10005
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10010
ref
cons
43
ref
10006
ref
cons
nil
cons
10024
def
cons
nil
cons
cons
10025
def
76
ref
subst
10025
remove
107
ref
subst
10021
ref
8925
ref
subst
10026
def
9981
remove
proveHyp
10026
remove
9982
remove
proveHyp
10027
def
9988
ref
proveHyp
10021
remove
8941
ref
subst
10027
remove
9989
ref
proveHyp
10017
remove
8963
ref
subst
10028
def
proveHyp
proveHyp
10014
remove
8963
ref
subst
10029
def
proveHyp
proveHyp
10012
remove
8963
ref
subst
10030
def
proveHyp
proveHyp
eqMp
nil
108
ref
10010
remove
cons
110
ref
10006
remove
cons
nil
cons
10031
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10004
remove
nil
cons
10032
def
cons
2905
ref
10008
ref
nil
cons
10033
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9959
remove
10001
ref
9963
remove
appTerm
10034
def
appTerm
10035
def
appTerm
10036
def
nil
cons
10037
def
cons
10024
remove
cons
nil
cons
cons
10038
def
140
ref
subst
10038
ref
76
ref
subst
10038
remove
107
ref
subst
nil
9978
remove
2905
ref
10034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10039
def
8941
ref
subst
10039
ref
8925
ref
subst
10040
def
nil
10016
remove
9979
remove
cons
nil
cons
cons
10041
def
8925
ref
subst
proveHyp
10042
def
9988
remove
proveHyp
10040
remove
10041
ref
8941
ref
subst
proveHyp
10042
remove
9989
remove
proveHyp
10028
remove
proveHyp
proveHyp
10029
remove
proveHyp
proveHyp
10030
remove
proveHyp
proveHyp
eqMp
nil
108
ref
10037
ref
cons
10031
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10036
ref
appTerm
10005
remove
appTerm
nil
cons
cons
43
ref
10023
remove
10036
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
10007
remove
43
ref
10037
ref
cons
nil
cons
cons
nil
cons
cons
10043
def
76
ref
subst
10043
remove
107
ref
subst
10019
remove
10018
remove
10020
remove
10041
remove
8963
ref
subst
proveHyp
proveHyp
10039
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
10022
remove
110
ref
10037
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10035
remove
nil
cons
cons
2905
ref
10032
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
"__11"
26
ref
var
10044
def
9957
remove
nil
cons
cons
"__10"
26
ref
var
10045
def
9634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
"_11295"
26
ref
var
10046
def
10044
ref
varTerm
nil
cons
cons
"_11294"
26
ref
var
10047
def
10045
ref
varTerm
10048
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
419
ref
456
ref
419
ref
8890
ref
9210
ref
10047
remove
varTerm
10049
def
appTerm
appTerm
401
ref
appTerm
appTerm
10050
def
appTerm
10051
def
456
ref
419
ref
8890
ref
9210
ref
10046
remove
varTerm
10052
def
appTerm
appTerm
401
ref
appTerm
appTerm
10053
def
appTerm
10054
def
456
ref
419
ref
1436
ref
6091
ref
10049
ref
appTerm
appTerm
10055
def
6091
ref
10052
ref
appTerm
appTerm
appTerm
10056
def
appTerm
10057
def
458
ref
10049
ref
appTerm
10058
def
10052
ref
appTerm
10059
def
appTerm
10060
def
appTerm
10061
def
appTerm
10062
def
appTerm
10063
def
nil
cons
10064
def
cons
43
ref
419
ref
10057
remove
10051
ref
10054
ref
10059
ref
appTerm
10065
def
appTerm
10066
def
appTerm
10067
def
appTerm
10068
def
nil
cons
10069
def
cons
nil
cons
cons
nil
cons
cons
10070
def
140
ref
subst
10070
ref
76
ref
subst
10070
remove
107
ref
subst
nil
2906
ref
10050
remove
nil
cons
10071
def
cons
10072
def
2905
ref
10061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10073
def
8925
ref
subst
10074
def
nil
2906
ref
10053
remove
nil
cons
10075
def
cons
10076
def
2905
ref
10060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10077
def
8925
ref
subst
proveHyp
10078
def
nil
2906
ref
10056
ref
nil
cons
10079
def
cons
10080
def
2905
ref
10059
remove
nil
cons
10081
def
cons
nil
cons
10082
def
cons
nil
cons
cons
10083
def
8941
ref
subst
proveHyp
10073
ref
8941
ref
subst
10074
remove
10077
ref
8941
ref
subst
proveHyp
10078
remove
10083
ref
8925
ref
subst
proveHyp
nil
10076
remove
10082
remove
cons
nil
cons
cons
10084
def
8963
ref
subst
proveHyp
proveHyp
nil
10072
remove
2905
ref
10065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10085
def
8963
ref
subst
proveHyp
proveHyp
nil
10080
remove
2905
ref
10066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10086
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10064
ref
cons
110
ref
10069
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10063
ref
appTerm
10068
ref
appTerm
nil
cons
cons
43
ref
50
ref
10068
remove
appTerm
10063
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10069
ref
cons
43
ref
10064
ref
cons
nil
cons
cons
nil
cons
cons
10087
def
76
ref
subst
10087
remove
107
ref
subst
10086
ref
8925
ref
subst
10088
def
10085
ref
8941
ref
subst
proveHyp
10088
remove
10085
remove
8925
ref
subst
proveHyp
10089
def
10084
ref
8941
ref
subst
proveHyp
10086
remove
8941
ref
subst
10089
remove
10084
remove
8925
ref
subst
proveHyp
10083
remove
8963
ref
subst
proveHyp
proveHyp
10077
remove
8963
ref
subst
proveHyp
proveHyp
10073
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10069
remove
cons
110
ref
10064
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10062
remove
nil
cons
cons
2905
ref
10067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
2767
ref
10071
remove
cons
2766
ref
10054
remove
10056
remove
appTerm
nil
cons
cons
4914
ref
10081
remove
cons
nil
cons
10090
def
cons
cons
nil
cons
cons
4945
ref
subst
10051
ref
refl
nil
2767
ref
10075
remove
cons
2766
ref
10079
remove
cons
10090
remove
cons
cons
nil
cons
cons
4945
remove
subst
appThm
trans
449
ref
456
ref
10051
remove
9271
ref
419
ref
10055
remove
9044
ref
appTerm
appTerm
appTerm
appTerm
appTerm
10058
remove
454
remove
appTerm
appTerm
absTerm
10091
def
10052
ref
appTerm
10092
def
betaConv
9272
ref
10049
ref
appTerm
10093
def
betaConv
9558
remove
9560
remove
122
ref
subst
proveHyp
nil
25
ref
9559
remove
cons
43
ref
10093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
9272
remove
nil
cons
cons
35
ref
10049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
166
ref
10091
ref
appTerm
nil
cons
cons
43
ref
10092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
10091
remove
nil
cons
cons
35
ref
10052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
10094
def
subst
eqMp
eqMp
nil
25
ref
10033
remove
cons
43
ref
9998
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9811
ref
9999
ref
appTerm
10095
def
appTerm
10096
def
nil
cons
10097
def
cons
43
ref
419
ref
456
ref
9999
ref
appTerm
10098
def
8892
ref
appTerm
10099
def
appTerm
10100
def
nil
cons
10101
def
cons
nil
cons
cons
nil
cons
cons
10102
def
140
ref
subst
10102
ref
76
ref
subst
10102
remove
107
ref
subst
nil
9817
ref
2905
ref
9999
ref
nil
cons
10103
def
cons
nil
cons
cons
nil
cons
cons
10104
def
8925
ref
subst
10104
ref
8941
ref
subst
nil
2906
ref
10103
ref
cons
9622
ref
cons
nil
cons
cons
10105
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10097
ref
cons
110
ref
10101
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10096
ref
appTerm
10100
ref
appTerm
nil
cons
cons
43
ref
50
ref
10100
remove
appTerm
10096
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10101
ref
cons
43
ref
10097
ref
cons
nil
cons
cons
nil
cons
cons
10106
def
76
ref
subst
10106
remove
107
ref
subst
10105
ref
8925
ref
subst
10105
remove
8941
ref
subst
10104
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10101
remove
cons
110
ref
10097
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10095
ref
nil
cons
10107
def
cons
2905
ref
10099
ref
nil
cons
10108
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9665
ref
9668
ref
nil
25
ref
419
ref
9745
ref
appTerm
10109
def
nil
cons
10110
def
cons
43
ref
419
ref
9742
ref
456
ref
9733
ref
appTerm
10111
def
9736
ref
appTerm
10112
def
appTerm
10113
def
appTerm
10114
def
nil
cons
10115
def
cons
nil
cons
cons
nil
cons
cons
10116
def
140
ref
subst
10116
ref
76
ref
subst
10116
remove
107
ref
subst
nil
2906
ref
9736
remove
nil
cons
10117
def
cons
2905
ref
9743
remove
nil
cons
cons
nil
cons
10118
def
cons
nil
cons
cons
10119
def
8925
ref
subst
10120
def
nil
2906
ref
9741
remove
nil
cons
cons
10121
def
2905
ref
9733
ref
nil
cons
10122
def
cons
nil
cons
10123
def
cons
nil
cons
cons
10124
def
8941
ref
subst
10125
def
proveHyp
10120
remove
10124
ref
8925
ref
subst
10126
def
proveHyp
10119
ref
8941
ref
subst
nil
2906
ref
10122
remove
cons
10127
def
2905
ref
10117
remove
cons
nil
cons
cons
nil
cons
cons
10128
def
8963
ref
subst
proveHyp
proveHyp
nil
10121
ref
2905
ref
10112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10129
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10110
ref
cons
110
ref
10115
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10109
ref
appTerm
10114
ref
appTerm
nil
cons
cons
43
ref
50
ref
10114
remove
appTerm
10109
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10115
ref
cons
43
ref
10110
ref
cons
nil
cons
cons
nil
cons
cons
10130
def
76
ref
subst
10130
remove
107
ref
subst
10129
ref
8925
ref
subst
10131
def
10128
ref
8925
ref
subst
proveHyp
10129
remove
8941
ref
subst
10131
remove
10128
remove
8941
ref
subst
proveHyp
10124
remove
8963
ref
subst
10132
def
proveHyp
proveHyp
10119
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10115
remove
cons
110
ref
10110
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9745
remove
nil
cons
10133
def
cons
2905
ref
10113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9750
remove
9751
remove
122
ref
subst
proveHyp
10134
def
nil
108
ref
9744
ref
nil
cons
10135
def
cons
110
ref
9747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10136
def
139
ref
subst
proveHyp
10137
def
nil
108
ref
10133
remove
cons
110
ref
9746
ref
nil
cons
10138
def
cons
nil
cons
cons
nil
cons
cons
10139
def
122
ref
subst
proveHyp
eqMp
subst
subst
nil
25
ref
9641
ref
10095
ref
appTerm
10140
def
nil
cons
cons
43
ref
10107
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9774
ref
nil
9775
ref
43
ref
50
ref
10140
remove
appTerm
10095
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9776
ref
10095
remove
appTerm
10141
def
betaConv
9779
ref
nil
9780
ref
43
ref
10141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9781
ref
20
ref
10107
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10108
remove
cons
43
ref
50
ref
10008
remove
appTerm
9965
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10099
remove
appTerm
50
ref
10001
remove
2912
ref
appTerm
appTerm
10142
def
9811
ref
2912
ref
appTerm
10143
def
appTerm
appTerm
absTerm
10144
def
9964
remove
appTerm
10145
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10098
remove
2907
ref
appTerm
appTerm
10142
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10146
def
8892
ref
appTerm
10147
def
betaConv
9442
ref
9999
remove
appTerm
10148
def
betaConv
9491
ref
nil
9492
ref
43
ref
10148
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
20
ref
10103
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10146
ref
appTerm
nil
cons
cons
43
ref
10147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10146
remove
nil
cons
cons
20
ref
9621
ref
cons
nil
cons
10149
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10144
ref
appTerm
nil
cons
cons
43
ref
10145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10144
remove
nil
cons
cons
20
ref
9974
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
subst
nil
25
ref
456
ref
419
ref
9956
ref
9925
remove
appTerm
10150
def
appTerm
appTerm
10151
def
9934
ref
appTerm
10152
def
nil
cons
cons
43
ref
9953
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9928
ref
456
ref
10150
ref
appTerm
10153
def
8892
ref
appTerm
10154
def
appTerm
10155
def
appTerm
10156
def
nil
cons
10157
def
cons
10158
def
43
ref
419
ref
10153
ref
9929
ref
appTerm
10159
def
appTerm
10160
def
nil
cons
10161
def
cons
nil
cons
cons
nil
cons
cons
10162
def
140
ref
subst
10162
ref
76
ref
subst
10162
remove
107
ref
subst
nil
9946
ref
2905
ref
10154
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10163
def
8925
ref
subst
10164
def
nil
2906
ref
10150
ref
nil
cons
10165
def
cons
10166
def
9622
ref
cons
nil
cons
cons
10167
def
8941
ref
subst
proveHyp
10168
def
10163
ref
8941
ref
subst
10169
def
10164
remove
10167
ref
8925
ref
subst
proveHyp
10170
def
9952
remove
proveHyp
proveHyp
nil
10166
remove
2905
ref
9942
ref
cons
nil
cons
cons
nil
cons
cons
10171
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10157
ref
cons
10172
def
110
ref
10161
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10156
ref
appTerm
10173
def
10160
ref
appTerm
nil
cons
cons
43
ref
50
ref
10160
remove
appTerm
10156
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10161
ref
cons
43
ref
10157
ref
cons
nil
cons
10174
def
cons
nil
cons
cons
10175
def
76
ref
subst
10175
remove
107
ref
subst
10171
ref
8925
ref
subst
10176
def
9948
remove
proveHyp
10171
remove
8941
ref
subst
10176
remove
9947
remove
8925
ref
subst
proveHyp
10167
remove
8963
ref
subst
10177
def
proveHyp
proveHyp
10163
remove
8963
ref
subst
10178
def
proveHyp
proveHyp
eqMp
nil
108
ref
10161
remove
cons
110
ref
10157
remove
cons
nil
cons
10179
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10155
remove
nil
cons
10180
def
cons
2905
ref
10159
ref
nil
cons
10181
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9811
ref
9928
ref
10150
ref
appTerm
10182
def
appTerm
10183
def
appTerm
10184
def
nil
cons
10185
def
cons
10174
remove
cons
nil
cons
cons
10186
def
140
ref
subst
10186
ref
76
ref
subst
10186
remove
107
ref
subst
nil
9817
ref
2905
ref
10182
ref
nil
cons
10187
def
cons
nil
cons
10188
def
cons
nil
cons
cons
10189
def
8925
ref
subst
10190
def
nil
9946
ref
2905
ref
10165
ref
cons
nil
cons
10191
def
cons
nil
cons
cons
10192
def
8941
ref
subst
10193
def
proveHyp
10190
remove
10192
ref
8925
ref
subst
10194
def
proveHyp
10189
ref
8941
ref
subst
10177
remove
proveHyp
proveHyp
10178
remove
proveHyp
proveHyp
eqMp
nil
108
ref
10185
ref
cons
10179
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10184
ref
appTerm
10156
remove
appTerm
nil
cons
cons
43
ref
10173
remove
10184
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
10158
remove
43
ref
10185
ref
cons
nil
cons
cons
nil
cons
cons
10195
def
76
ref
subst
10195
remove
107
ref
subst
10170
remove
10169
remove
10168
remove
10192
remove
8963
ref
subst
10196
def
proveHyp
proveHyp
10189
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
10172
remove
110
ref
10185
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10183
ref
nil
cons
10197
def
cons
2905
ref
10180
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9928
ref
456
ref
419
ref
9956
ref
9922
ref
appTerm
10198
def
appTerm
10199
def
appTerm
10200
def
10150
ref
appTerm
10201
def
appTerm
10202
def
appTerm
10203
def
nil
cons
10204
def
cons
43
ref
419
ref
10200
ref
10182
ref
appTerm
10205
def
appTerm
10206
def
nil
cons
10207
def
cons
nil
cons
cons
nil
cons
cons
10208
def
140
ref
subst
10208
ref
76
ref
subst
10208
remove
107
ref
subst
nil
9946
remove
2905
ref
10201
ref
nil
cons
10209
def
cons
nil
cons
cons
nil
cons
cons
10210
def
8925
ref
subst
10211
def
nil
2906
ref
10199
remove
nil
cons
cons
10212
def
10191
remove
cons
nil
cons
cons
10213
def
8941
ref
subst
proveHyp
10210
ref
8941
ref
subst
10211
remove
10213
ref
8925
ref
subst
proveHyp
10196
remove
proveHyp
proveHyp
nil
10212
remove
10188
remove
cons
nil
cons
cons
10214
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10204
ref
cons
110
ref
10207
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10203
ref
appTerm
10206
ref
appTerm
nil
cons
cons
43
ref
50
ref
10206
remove
appTerm
10203
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10207
ref
cons
43
ref
10204
ref
cons
nil
cons
cons
nil
cons
cons
10215
def
76
ref
subst
10215
remove
107
ref
subst
10214
ref
8925
ref
subst
10216
def
10193
remove
proveHyp
10214
remove
8941
ref
subst
10216
remove
10194
remove
proveHyp
10213
remove
8963
ref
subst
proveHyp
proveHyp
10210
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10207
remove
cons
110
ref
10204
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10202
remove
nil
cons
cons
2905
ref
10205
ref
nil
cons
10217
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
9926
ref
appTerm
2907
ref
appTerm
appTerm
9928
remove
2907
ref
appTerm
appTerm
absTerm
10218
def
10201
remove
appTerm
10219
def
betaConv
9330
ref
9926
ref
appTerm
10220
def
betaConv
9333
ref
nil
9334
ref
43
ref
10220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
9926
ref
nil
cons
10221
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10218
ref
appTerm
nil
cons
cons
43
ref
10219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10218
remove
nil
cons
cons
20
ref
10209
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10221
ref
cons
43
ref
10209
ref
cons
nil
cons
cons
nil
cons
cons
10222
def
76
ref
subst
10222
remove
107
ref
subst
2905
ref
52
ref
50
ref
10198
ref
appTerm
2907
ref
appTerm
appTerm
10200
ref
2907
ref
appTerm
appTerm
absTerm
10223
def
10150
ref
appTerm
10224
def
betaConv
9330
ref
10198
ref
appTerm
10225
def
betaConv
9333
ref
nil
9334
ref
43
ref
10225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
10198
ref
nil
cons
10226
def
cons
nil
cons
10227
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10223
ref
appTerm
nil
cons
cons
43
ref
10224
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10223
remove
nil
cons
cons
20
ref
10165
ref
cons
nil
cons
10228
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10226
ref
cons
43
ref
10165
ref
cons
nil
cons
cons
nil
cons
cons
10229
def
76
ref
subst
10229
remove
107
ref
subst
9956
remove
refl
9926
remove
assume
appThm
10198
ref
assume
eqMp
eqMp
nil
108
ref
10226
ref
cons
110
ref
10165
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
10221
remove
cons
110
ref
10209
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
10217
remove
cons
43
ref
10197
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9811
ref
10198
ref
appTerm
10230
def
appTerm
10231
def
nil
cons
10232
def
cons
43
ref
419
ref
456
ref
10198
ref
appTerm
10233
def
8892
ref
appTerm
10234
def
appTerm
10235
def
nil
cons
10236
def
cons
nil
cons
cons
nil
cons
cons
10237
def
140
ref
subst
10237
ref
76
ref
subst
10237
remove
107
ref
subst
nil
9817
ref
2905
ref
10226
ref
cons
nil
cons
cons
nil
cons
cons
10238
def
8925
ref
subst
10238
ref
8941
ref
subst
nil
2906
ref
10226
remove
cons
9622
ref
cons
nil
cons
cons
10239
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10232
ref
cons
110
ref
10236
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10231
ref
appTerm
10235
ref
appTerm
nil
cons
cons
43
ref
50
ref
10235
remove
appTerm
10231
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10236
ref
cons
43
ref
10232
ref
cons
nil
cons
cons
nil
cons
cons
10240
def
76
ref
subst
10240
remove
107
ref
subst
10239
ref
8925
ref
subst
10239
remove
8941
ref
subst
10238
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10236
remove
cons
110
ref
10232
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10230
ref
nil
cons
10241
def
cons
2905
ref
10234
ref
nil
cons
10242
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
"?35763"
1280
remove
cons
nil
cons
23
ref
cons
nil
"__y"
"?35763"
varType
10243
def
var
10244
def
6035
ref
1
ref
1
ref
26
remove
10243
ref
nil
cons
cons
opType
10245
def
10245
ref
nil
cons
cons
opType
constTerm
"f"
10245
ref
var
varTerm
10246
def
appTerm
10247
def
9602
ref
6035
remove
1
ref
1
ref
10245
remove
8646
remove
cons
opType
10248
def
10248
ref
nil
cons
cons
opType
constTerm
10249
def
"f''''''''"
10248
ref
var
varTerm
appTerm
10246
ref
appTerm
appTerm
401
ref
appTerm
appTerm
nil
cons
cons
"__x"
10243
ref
var
10250
def
10247
remove
9602
remove
10249
remove
"f'''''''"
10248
remove
var
varTerm
appTerm
10246
remove
appTerm
appTerm
401
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
419
ref
456
ref
419
ref
8
ref
1
ref
10243
ref
1
ref
10243
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
10251
def
10250
remove
varTerm
10252
def
appTerm
10253
def
10244
remove
varTerm
10254
def
appTerm
10255
def
appTerm
10256
def
appTerm
10257
def
456
ref
419
ref
10253
remove
10252
ref
appTerm
10258
def
appTerm
10259
def
appTerm
10260
def
10251
ref
10254
remove
appTerm
10252
ref
appTerm
10261
def
appTerm
10262
def
appTerm
10263
def
appTerm
10264
def
nil
cons
10265
def
cons
43
ref
419
ref
10260
ref
10257
ref
10261
ref
appTerm
10266
def
appTerm
10267
def
appTerm
10268
def
nil
cons
10269
def
cons
nil
cons
cons
nil
cons
cons
10270
def
140
ref
subst
10270
ref
76
ref
subst
10270
remove
107
ref
subst
nil
2906
ref
10256
remove
nil
cons
cons
10271
def
2905
ref
10262
ref
nil
cons
10272
def
cons
nil
cons
cons
nil
cons
cons
10273
def
8925
ref
subst
10274
def
nil
2906
ref
10259
remove
nil
cons
cons
10275
def
2905
ref
10261
ref
nil
cons
10276
def
cons
nil
cons
10277
def
cons
nil
cons
cons
10278
def
8941
ref
subst
proveHyp
10273
ref
8941
ref
subst
10274
remove
10278
ref
8925
ref
subst
proveHyp
nil
10271
remove
10277
remove
cons
nil
cons
cons
10279
def
8963
ref
subst
proveHyp
proveHyp
nil
10275
remove
2905
ref
10266
ref
nil
cons
10280
def
cons
nil
cons
cons
nil
cons
cons
10281
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10265
ref
cons
110
ref
10269
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10264
ref
appTerm
10268
ref
appTerm
nil
cons
cons
43
ref
50
ref
10268
remove
appTerm
10264
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10269
ref
cons
43
ref
10265
ref
cons
nil
cons
cons
nil
cons
cons
10282
def
76
ref
subst
10282
remove
107
ref
subst
10281
ref
8925
ref
subst
10283
def
10279
ref
8941
ref
subst
proveHyp
10281
remove
8941
ref
subst
10283
remove
10279
remove
8925
ref
subst
proveHyp
10278
remove
8963
ref
subst
proveHyp
proveHyp
10273
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10269
remove
cons
110
ref
10265
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10263
remove
nil
cons
cons
2905
ref
10267
ref
nil
cons
10284
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
10255
ref
appTerm
2907
ref
appTerm
appTerm
10257
remove
2907
ref
appTerm
appTerm
absTerm
10285
def
10262
remove
appTerm
10286
def
betaConv
9330
ref
10255
ref
appTerm
10287
def
betaConv
9333
ref
nil
9334
ref
43
ref
10287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
10255
ref
nil
cons
10288
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10285
ref
appTerm
nil
cons
cons
43
ref
10286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10285
remove
nil
cons
cons
20
ref
10272
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10288
ref
cons
43
ref
10272
ref
cons
nil
cons
cons
nil
cons
cons
10289
def
76
ref
subst
10289
remove
107
ref
subst
2905
ref
52
ref
50
ref
10258
ref
appTerm
10290
def
2907
ref
appTerm
appTerm
10260
ref
2907
ref
appTerm
appTerm
absTerm
10291
def
10261
remove
appTerm
10292
def
betaConv
9330
ref
10258
ref
appTerm
10293
def
betaConv
9333
ref
nil
9334
ref
43
ref
10293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
10258
ref
nil
cons
10294
def
cons
nil
cons
10295
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10291
ref
appTerm
nil
cons
cons
43
ref
10292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10291
remove
nil
cons
cons
20
ref
10276
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10294
ref
cons
10296
def
43
ref
10276
ref
cons
nil
cons
cons
nil
cons
cons
10297
def
76
ref
subst
10297
remove
107
ref
subst
10251
remove
refl
10255
remove
assume
appThm
10252
remove
refl
10298
def
appThm
10258
ref
assume
eqMp
eqMp
nil
108
ref
10294
remove
cons
110
ref
10276
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
10288
remove
cons
110
ref
10272
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
10284
remove
cons
43
ref
10280
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10298
remove
nil
10296
remove
43
ref
50
ref
10267
remove
appTerm
10266
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
10290
remove
50
ref
10260
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10299
def
10266
remove
appTerm
10300
def
betaConv
9407
ref
10258
remove
appTerm
10301
def
betaConv
9429
ref
nil
9430
ref
43
ref
10301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
10295
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10299
ref
appTerm
nil
cons
cons
43
ref
10300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10299
remove
nil
cons
cons
20
ref
10280
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
subst
nil
25
ref
456
ref
419
ref
9923
ref
9955
remove
appTerm
10302
def
appTerm
appTerm
10303
def
10198
ref
appTerm
10304
def
nil
cons
cons
43
ref
10241
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9665
ref
9668
ref
nil
25
ref
419
ref
9746
remove
appTerm
10305
def
nil
cons
10306
def
cons
43
ref
419
ref
9742
ref
9739
remove
9733
remove
appTerm
10307
def
appTerm
10308
def
appTerm
10309
def
nil
cons
10310
def
cons
nil
cons
cons
nil
cons
cons
10311
def
140
ref
subst
10311
ref
76
ref
subst
10311
remove
107
ref
subst
nil
2906
ref
9738
remove
nil
cons
cons
10312
def
10118
ref
cons
nil
cons
cons
10313
def
8925
ref
subst
10314
def
10125
ref
proveHyp
10313
ref
8941
ref
subst
10314
remove
10126
ref
proveHyp
nil
10312
remove
10123
remove
cons
nil
cons
cons
10315
def
8963
ref
subst
proveHyp
proveHyp
nil
10121
ref
2905
ref
10307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10316
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10306
ref
cons
110
ref
10310
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10305
ref
appTerm
10309
ref
appTerm
nil
cons
cons
43
ref
50
ref
10309
remove
appTerm
10305
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10310
ref
cons
43
ref
10306
ref
cons
nil
cons
cons
nil
cons
cons
10317
def
76
ref
subst
10317
remove
107
ref
subst
10316
ref
8925
ref
subst
10318
def
10315
ref
8941
ref
subst
proveHyp
10316
remove
8941
ref
subst
10318
remove
10315
remove
8925
ref
subst
proveHyp
10132
ref
proveHyp
proveHyp
10313
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10310
remove
cons
110
ref
10306
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10138
remove
cons
2905
ref
10308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
10137
remove
10139
remove
139
ref
subst
proveHyp
eqMp
subst
subst
nil
25
ref
9641
ref
456
ref
10302
ref
appTerm
10319
def
8892
ref
appTerm
10320
def
appTerm
10321
def
nil
cons
cons
43
ref
10320
ref
nil
cons
10322
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9774
ref
nil
9775
ref
43
ref
50
ref
10321
remove
appTerm
10320
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9776
ref
10320
ref
appTerm
10323
def
betaConv
9779
ref
nil
9780
ref
43
ref
10323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9781
ref
20
ref
10322
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10322
remove
cons
43
ref
50
ref
10304
remove
appTerm
10230
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10320
remove
appTerm
50
ref
10303
remove
2912
ref
appTerm
appTerm
10324
def
10143
ref
appTerm
appTerm
absTerm
10325
def
10198
ref
appTerm
10326
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10319
remove
2907
ref
appTerm
appTerm
10324
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10327
def
8892
ref
appTerm
10328
def
betaConv
9442
ref
10302
ref
appTerm
10329
def
betaConv
9491
ref
nil
9492
ref
43
ref
10329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
20
ref
10302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10327
ref
appTerm
nil
cons
cons
43
ref
10328
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10327
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10325
ref
appTerm
nil
cons
cons
43
ref
10326
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10325
remove
nil
cons
cons
10227
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10242
remove
cons
43
ref
50
ref
10205
remove
appTerm
10183
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10234
remove
appTerm
50
ref
10200
remove
2912
ref
appTerm
appTerm
10330
def
10143
ref
appTerm
appTerm
absTerm
10331
def
10182
remove
appTerm
10332
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10233
remove
2907
ref
appTerm
appTerm
10330
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10333
def
8892
ref
appTerm
10334
def
betaConv
9442
ref
10198
remove
appTerm
10335
def
betaConv
9491
ref
nil
9492
ref
43
ref
10335
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
10227
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10333
ref
appTerm
nil
cons
cons
43
ref
10334
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10333
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10331
ref
appTerm
nil
cons
cons
43
ref
10332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10331
remove
nil
cons
cons
20
ref
10187
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10181
remove
cons
43
ref
50
ref
10152
remove
appTerm
9935
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10159
remove
appTerm
50
ref
10151
remove
2912
ref
appTerm
appTerm
10336
def
9930
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
10337
def
9934
remove
appTerm
10338
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10153
remove
2907
ref
appTerm
appTerm
10336
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10339
def
9929
remove
appTerm
10340
def
betaConv
9442
ref
10150
remove
appTerm
10341
def
betaConv
9491
ref
nil
9492
ref
43
ref
10341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
10228
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10339
ref
appTerm
nil
cons
cons
43
ref
10340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10339
remove
nil
cons
cons
20
ref
9942
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10337
ref
appTerm
nil
cons
cons
43
ref
10338
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10337
remove
nil
cons
cons
20
ref
9943
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
subst
nil
25
ref
456
ref
419
ref
9923
remove
9922
ref
appTerm
10342
def
appTerm
appTerm
10343
def
456
ref
419
ref
8890
ref
9210
ref
9607
ref
appTerm
appTerm
401
ref
appTerm
10344
def
appTerm
appTerm
10345
def
9909
ref
appTerm
10346
def
appTerm
10347
def
nil
cons
cons
43
ref
10346
ref
nil
cons
10348
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9922
remove
refl
nil
25
ref
10342
ref
nil
cons
10349
def
cons
43
ref
50
ref
10347
remove
appTerm
10346
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10342
ref
appTerm
50
ref
10343
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10350
def
10346
ref
appTerm
10351
def
betaConv
9407
ref
10342
remove
appTerm
10352
def
betaConv
9429
ref
nil
9430
ref
43
ref
10352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
20
ref
10349
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10350
ref
appTerm
nil
cons
cons
43
ref
10351
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10350
remove
nil
cons
cons
20
ref
10348
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10348
remove
cons
43
ref
9920
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9811
remove
10344
ref
appTerm
10353
def
appTerm
10354
def
nil
cons
10355
def
cons
43
ref
419
ref
456
ref
10344
ref
appTerm
10356
def
8892
ref
appTerm
10357
def
appTerm
10358
def
nil
cons
10359
def
cons
nil
cons
cons
nil
cons
cons
10360
def
140
ref
subst
10360
ref
76
ref
subst
10360
remove
107
ref
subst
nil
9817
remove
2905
ref
10344
ref
nil
cons
10361
def
cons
nil
cons
cons
nil
cons
cons
10362
def
8925
ref
subst
10362
ref
8941
ref
subst
nil
2906
ref
10361
ref
cons
9622
remove
cons
nil
cons
cons
10363
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10355
ref
cons
110
ref
10359
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10354
ref
appTerm
10358
ref
appTerm
nil
cons
cons
43
ref
50
ref
10358
remove
appTerm
10354
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10359
ref
cons
43
ref
10355
ref
cons
nil
cons
cons
nil
cons
cons
10364
def
76
ref
subst
10364
remove
107
ref
subst
10363
ref
8925
ref
subst
10363
remove
8941
ref
subst
10362
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10359
remove
cons
110
ref
10355
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10353
ref
nil
cons
10365
def
cons
2905
ref
10357
ref
nil
cons
10366
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9665
remove
9668
remove
nil
25
ref
419
ref
9744
remove
appTerm
10367
def
nil
cons
10368
def
cons
43
ref
419
ref
9742
remove
10111
remove
9730
ref
appTerm
10369
def
appTerm
10370
def
appTerm
10371
def
nil
cons
10372
def
cons
nil
cons
cons
nil
cons
cons
10373
def
140
ref
subst
10373
ref
76
ref
subst
10373
remove
107
ref
subst
nil
2906
ref
9730
remove
nil
cons
10374
def
cons
10118
remove
cons
nil
cons
cons
10375
def
8925
ref
subst
10376
def
10125
remove
proveHyp
10376
remove
10126
remove
proveHyp
10375
ref
8941
ref
subst
nil
10127
remove
2905
ref
10374
remove
cons
nil
cons
cons
nil
cons
cons
10377
def
8963
ref
subst
proveHyp
proveHyp
nil
10121
remove
2905
ref
10369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10378
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10368
ref
cons
110
ref
10372
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10367
ref
appTerm
10371
ref
appTerm
nil
cons
cons
43
ref
50
ref
10371
remove
appTerm
10367
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10372
ref
cons
43
ref
10368
ref
cons
nil
cons
cons
nil
cons
cons
10379
def
76
ref
subst
10379
remove
107
ref
subst
10378
ref
8925
ref
subst
10380
def
10377
ref
8925
ref
subst
proveHyp
10378
remove
8941
ref
subst
10380
remove
10377
remove
8941
ref
subst
proveHyp
10132
remove
proveHyp
proveHyp
10375
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10372
remove
cons
110
ref
10368
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10135
remove
cons
2905
ref
10370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
10134
remove
10136
remove
122
ref
subst
proveHyp
eqMp
subst
subst
nil
25
ref
9641
remove
10353
ref
appTerm
10381
def
nil
cons
cons
43
ref
10365
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9774
remove
nil
9775
remove
43
ref
50
ref
10381
remove
appTerm
10353
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9776
remove
10353
remove
appTerm
10382
def
betaConv
9779
remove
nil
9780
remove
43
ref
10382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9781
remove
20
ref
10365
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10366
remove
cons
43
ref
50
ref
10346
remove
appTerm
9910
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10357
remove
appTerm
50
ref
10345
remove
2912
ref
appTerm
appTerm
10383
def
10143
ref
appTerm
appTerm
absTerm
10384
def
9909
ref
appTerm
10385
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10356
remove
2907
ref
appTerm
appTerm
10383
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10386
def
8892
ref
appTerm
10387
def
betaConv
9442
ref
10344
remove
appTerm
10388
def
betaConv
9491
ref
nil
9492
ref
43
ref
10388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
20
ref
10361
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10386
ref
appTerm
nil
cons
cons
43
ref
10387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10386
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10384
ref
appTerm
nil
cons
cons
43
ref
10385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10384
remove
nil
cons
cons
20
ref
9916
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9916
remove
cons
43
ref
50
ref
9838
remove
appTerm
9813
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9909
remove
appTerm
50
ref
9832
remove
2912
ref
appTerm
appTerm
10389
def
10143
remove
appTerm
appTerm
absTerm
10390
def
9812
remove
appTerm
10391
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
9908
remove
2907
ref
appTerm
appTerm
10389
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10392
def
8892
ref
appTerm
10393
def
betaConv
9442
ref
9830
remove
appTerm
10394
def
betaConv
9491
ref
nil
9492
ref
43
ref
10394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
9874
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10392
ref
appTerm
nil
cons
cons
43
ref
10393
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10392
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10390
ref
appTerm
nil
cons
cons
43
ref
10391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10390
remove
nil
cons
cons
20
ref
9818
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9810
remove
cons
43
ref
50
ref
9646
remove
appTerm
9614
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9788
remove
appTerm
50
ref
9637
remove
2912
ref
appTerm
appTerm
10395
def
9613
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
10396
def
8892
ref
appTerm
10397
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
9876
remove
appTerm
10395
remove
4810
ref
appTerm
appTerm
absTerm
appTerm
absTerm
10398
def
9612
ref
appTerm
10399
def
betaConv
9442
ref
9635
remove
appTerm
10400
def
betaConv
9491
ref
nil
9492
ref
43
ref
10400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
ref
9906
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10398
ref
appTerm
nil
cons
cons
43
ref
10399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10398
remove
nil
cons
cons
20
ref
9620
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10396
ref
appTerm
nil
cons
cons
43
ref
10397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10396
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9620
remove
cons
43
ref
9621
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9607
remove
refl
nil
25
ref
9609
ref
nil
cons
10401
def
cons
43
ref
50
ref
9612
remove
appTerm
8892
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9609
ref
appTerm
50
ref
9611
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10402
def
8892
ref
appTerm
10403
def
betaConv
9407
ref
9609
remove
appTerm
10404
def
betaConv
9429
ref
nil
9430
ref
43
ref
10404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
20
ref
10401
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10402
ref
appTerm
nil
cons
cons
43
ref
10403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10402
remove
nil
cons
cons
10149
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
10405
def
nil
25
ref
9621
remove
cons
10406
def
43
ref
50
ref
8898
remove
appTerm
6224
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
8892
ref
appTerm
50
ref
8897
ref
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10407
def
6224
ref
appTerm
10408
def
betaConv
9407
ref
8892
remove
appTerm
10409
def
betaConv
9429
ref
nil
9430
ref
43
ref
10409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
10149
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
10410
def
nil
25
ref
159
ref
10407
ref
appTerm
nil
cons
cons
10411
def
43
ref
10408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10407
ref
nil
cons
cons
10412
def
9496
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
10413
def
nil
6226
ref
43
ref
419
ref
1519
ref
appTerm
10414
def
nil
cons
10415
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
456
ref
10414
ref
appTerm
460
ref
appTerm
10416
def
appTerm
10417
def
nil
cons
10418
def
cons
43
ref
419
ref
461
ref
10414
ref
appTerm
10419
def
appTerm
10420
def
nil
cons
10421
def
cons
nil
cons
cons
nil
cons
cons
10422
def
140
ref
subst
10422
ref
76
ref
subst
10422
remove
107
ref
subst
nil
2906
ref
10415
ref
cons
2905
ref
3377
ref
cons
nil
cons
10423
def
cons
nil
cons
cons
10424
def
8925
ref
subst
10424
ref
8941
ref
subst
nil
2906
ref
3377
remove
cons
10425
def
2905
ref
10415
ref
cons
nil
cons
cons
nil
cons
cons
10426
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10418
ref
cons
110
ref
10421
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10417
ref
appTerm
10420
ref
appTerm
nil
cons
cons
43
ref
50
ref
10420
remove
appTerm
10417
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10421
ref
cons
43
ref
10418
ref
cons
nil
cons
cons
nil
cons
cons
10427
def
76
ref
subst
10427
remove
107
ref
subst
10426
ref
8925
ref
subst
10426
remove
8941
ref
subst
10424
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10421
remove
cons
110
ref
10418
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10416
remove
nil
cons
cons
2905
ref
10419
remove
nil
cons
10428
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
"?35570"
27
remove
cons
nil
cons
23
remove
cons
nil
"__y"
"?35570"
varType
10429
def
var
10430
def
"x"
10429
ref
var
varTerm
nil
cons
cons
"__x"
10429
ref
var
10431
def
"y"
10429
ref
var
varTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
25
ref
419
ref
456
ref
419
ref
8
remove
1
ref
10429
ref
1
ref
10429
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
10432
def
10431
remove
varTerm
10433
def
appTerm
10434
def
10430
remove
varTerm
10435
def
appTerm
10436
def
appTerm
10437
def
appTerm
10438
def
456
ref
419
ref
10434
remove
10433
ref
appTerm
10439
def
appTerm
10440
def
appTerm
10441
def
10432
ref
10435
remove
appTerm
10433
ref
appTerm
10442
def
appTerm
10443
def
appTerm
10444
def
appTerm
10445
def
nil
cons
10446
def
cons
43
ref
419
ref
10441
ref
10438
ref
10442
ref
appTerm
10447
def
appTerm
10448
def
appTerm
10449
def
nil
cons
10450
def
cons
nil
cons
cons
nil
cons
cons
10451
def
140
ref
subst
10451
ref
76
ref
subst
10451
remove
107
ref
subst
nil
2906
ref
10437
remove
nil
cons
cons
10452
def
2905
ref
10443
ref
nil
cons
10453
def
cons
nil
cons
cons
nil
cons
cons
10454
def
8925
ref
subst
10455
def
nil
2906
ref
10440
remove
nil
cons
cons
10456
def
2905
ref
10442
ref
nil
cons
10457
def
cons
nil
cons
10458
def
cons
nil
cons
cons
10459
def
8941
ref
subst
proveHyp
10454
ref
8941
ref
subst
10455
remove
10459
ref
8925
ref
subst
proveHyp
nil
10452
remove
10458
remove
cons
nil
cons
cons
10460
def
8963
ref
subst
proveHyp
proveHyp
nil
10456
remove
2905
ref
10447
ref
nil
cons
10461
def
cons
nil
cons
cons
nil
cons
cons
10462
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10446
ref
cons
110
ref
10450
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10445
ref
appTerm
10449
ref
appTerm
nil
cons
cons
43
ref
50
ref
10449
remove
appTerm
10445
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10450
ref
cons
43
ref
10446
ref
cons
nil
cons
cons
nil
cons
cons
10463
def
76
ref
subst
10463
remove
107
ref
subst
10462
ref
8925
ref
subst
10464
def
10460
ref
8941
ref
subst
proveHyp
10462
remove
8941
ref
subst
10464
remove
10460
remove
8925
ref
subst
proveHyp
10459
remove
8963
ref
subst
proveHyp
proveHyp
10454
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10450
remove
cons
110
ref
10446
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10444
remove
nil
cons
cons
2905
ref
10448
ref
nil
cons
10465
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
2905
ref
52
ref
50
ref
10436
ref
appTerm
2907
ref
appTerm
appTerm
10438
remove
2907
ref
appTerm
appTerm
absTerm
10466
def
10443
remove
appTerm
10467
def
betaConv
9330
ref
10436
ref
appTerm
10468
def
betaConv
9333
ref
nil
9334
ref
43
ref
10468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
ref
20
ref
10436
ref
nil
cons
10469
def
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10466
ref
appTerm
nil
cons
cons
43
ref
10467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10466
remove
nil
cons
cons
20
ref
10453
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10469
ref
cons
43
ref
10453
ref
cons
nil
cons
cons
nil
cons
cons
10470
def
76
ref
subst
10470
remove
107
ref
subst
2905
ref
52
ref
50
ref
10439
ref
appTerm
10471
def
2907
ref
appTerm
appTerm
10441
ref
2907
ref
appTerm
appTerm
absTerm
10472
def
10442
remove
appTerm
10473
def
betaConv
9330
remove
10439
ref
appTerm
10474
def
betaConv
9333
remove
nil
9334
remove
43
ref
10474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9332
remove
20
ref
10439
ref
nil
cons
10475
def
cons
nil
cons
10476
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10472
ref
appTerm
nil
cons
cons
43
ref
10473
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10472
remove
nil
cons
cons
20
ref
10457
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10475
ref
cons
10477
def
43
ref
10457
ref
cons
nil
cons
cons
nil
cons
cons
10478
def
76
ref
subst
10478
remove
107
ref
subst
10432
remove
refl
10436
remove
assume
appThm
10433
remove
refl
10479
def
appThm
10439
ref
assume
eqMp
eqMp
nil
108
ref
10475
remove
cons
110
ref
10457
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
10469
remove
cons
110
ref
10453
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
25
ref
10465
remove
cons
43
ref
10461
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10479
remove
nil
10477
remove
43
ref
50
ref
10448
remove
appTerm
10447
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
10471
remove
50
ref
10441
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10480
def
10447
remove
appTerm
10481
def
betaConv
9407
ref
10439
remove
appTerm
10482
def
betaConv
9429
ref
nil
9430
ref
43
ref
10482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
10476
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10480
ref
appTerm
nil
cons
cons
43
ref
10481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10480
remove
nil
cons
cons
20
ref
10461
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
subst
eqMp
nil
25
ref
10428
remove
cons
43
ref
50
ref
6224
ref
appTerm
10483
def
10414
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2905
ref
50
ref
461
ref
2907
ref
appTerm
appTerm
10483
ref
2907
ref
appTerm
appTerm
absTerm
10484
def
10414
ref
appTerm
10485
def
betaConv
2906
ref
159
ref
2905
ref
9436
remove
9879
remove
appTerm
10486
def
absTerm
10487
def
appTerm
10488
def
absTerm
10489
def
460
ref
appTerm
10490
def
betaConv
nil
161
ref
10489
ref
nil
cons
cons
10491
def
nil
cons
nil
cons
cons
253
ref
subst
2906
ref
nil
96
ref
10488
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
161
ref
10487
remove
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
2905
ref
nil
96
ref
10486
remove
nil
cons
10492
def
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
4719
remove
43
ref
10492
ref
cons
nil
cons
10493
def
cons
nil
cons
cons
10494
def
76
ref
subst
10494
remove
107
ref
subst
52
ref
"_646"
3
ref
var
10495
def
50
ref
456
ref
10495
remove
varTerm
10496
def
appTerm
2907
ref
appTerm
appTerm
50
ref
419
ref
10496
remove
appTerm
appTerm
2907
ref
appTerm
appTerm
absTerm
10497
def
2914
remove
appTerm
10498
def
appTerm
refl
10499
def
10497
ref
15
ref
appTerm
betaConv
appThm
77
ref
10498
remove
betaConv
appThm
10500
def
9454
remove
9895
remove
appTerm
refl
appThm
trans
10497
remove
refl
10501
def
4735
remove
appThm
eqMp
sym
9456
remove
9897
remove
appThm
6188
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4743
remove
110
ref
10492
ref
cons
nil
cons
10502
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
4747
remove
10493
remove
cons
nil
cons
cons
10503
def
76
ref
subst
10503
remove
107
ref
subst
10499
remove
"_644"
3
ref
var
10504
def
50
ref
456
ref
10504
remove
varTerm
10505
def
appTerm
2907
ref
appTerm
appTerm
50
ref
419
ref
10505
remove
appTerm
appTerm
2907
ref
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
10500
remove
9475
remove
9902
remove
appTerm
refl
appThm
trans
10501
remove
4752
remove
appThm
eqMp
sym
9476
remove
9903
remove
appThm
576
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
4755
ref
10502
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
4757
remove
nil
4755
remove
4758
remove
612
ref
10492
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
25
ref
159
ref
10489
remove
appTerm
nil
cons
cons
43
ref
10490
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10491
remove
6265
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
10506
def
nil
25
ref
159
ref
10484
ref
appTerm
nil
cons
cons
10507
def
43
ref
10485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10484
ref
nil
cons
cons
10508
def
20
ref
10415
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10415
remove
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
9047
ref
9271
ref
1519
ref
appTerm
10509
def
appTerm
10510
def
appTerm
10511
def
nil
cons
10512
def
cons
43
ref
419
ref
9271
ref
9047
remove
1519
ref
appTerm
10513
def
appTerm
10514
def
appTerm
10515
def
nil
cons
10516
def
cons
nil
cons
cons
nil
cons
cons
10517
def
140
ref
subst
10517
ref
76
ref
subst
10517
remove
107
ref
subst
nil
9060
ref
2905
ref
10509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10518
def
8925
ref
subst
10519
def
nil
2906
ref
9270
remove
nil
cons
cons
10520
def
2905
ref
6835
ref
cons
nil
cons
10521
def
cons
nil
cons
cons
10522
def
8941
ref
subst
proveHyp
10518
ref
8941
ref
subst
10519
remove
10522
ref
8925
ref
subst
proveHyp
nil
9060
remove
10521
remove
cons
nil
cons
cons
10523
def
8963
ref
subst
proveHyp
proveHyp
nil
10520
remove
2905
ref
10513
ref
nil
cons
10524
def
cons
nil
cons
cons
nil
cons
cons
10525
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10512
ref
cons
110
ref
10516
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10511
ref
appTerm
10515
ref
appTerm
nil
cons
cons
43
ref
50
ref
10515
remove
appTerm
10511
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10516
ref
cons
43
ref
10512
ref
cons
nil
cons
cons
nil
cons
cons
10526
def
76
ref
subst
10526
remove
107
ref
subst
10525
ref
8925
ref
subst
10527
def
10523
ref
8941
ref
subst
proveHyp
10525
remove
8941
ref
subst
10527
remove
10523
remove
8925
ref
subst
proveHyp
10522
remove
8963
ref
subst
proveHyp
proveHyp
10518
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10516
remove
cons
110
ref
10512
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10510
remove
nil
cons
cons
2905
ref
10514
ref
nil
cons
10528
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
10045
remove
471
remove
cons
nil
cons
nil
cons
cons
nil
25
ref
419
ref
456
ref
419
ref
1436
remove
6091
remove
10048
ref
appTerm
appTerm
10529
def
6092
remove
appTerm
10530
def
appTerm
10531
def
appTerm
10532
def
456
ref
419
ref
8890
remove
9210
remove
10048
ref
appTerm
appTerm
401
ref
appTerm
appTerm
10533
def
appTerm
10534
def
9269
ref
458
remove
10048
remove
appTerm
36
remove
appTerm
10535
def
appTerm
10536
def
appTerm
10537
def
appTerm
10538
def
appTerm
10539
def
nil
cons
10540
def
cons
43
ref
419
ref
9269
ref
10532
ref
10534
remove
10535
ref
appTerm
10541
def
appTerm
10542
def
appTerm
10543
def
appTerm
10544
def
nil
cons
10545
def
cons
nil
cons
cons
nil
cons
cons
10546
def
140
ref
subst
10546
ref
76
ref
subst
10546
remove
107
ref
subst
nil
2906
ref
10531
ref
nil
cons
10547
def
cons
10548
def
2905
ref
10537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10549
def
8925
ref
subst
10550
def
nil
2906
ref
10533
remove
nil
cons
cons
10551
def
2905
ref
10536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10552
def
8925
ref
subst
proveHyp
10553
def
nil
2906
ref
9268
remove
nil
cons
cons
10554
def
2905
ref
10535
remove
nil
cons
cons
nil
cons
10555
def
cons
nil
cons
cons
10556
def
8941
ref
subst
proveHyp
10549
ref
8941
ref
subst
10550
remove
10552
ref
8941
ref
subst
proveHyp
10553
remove
10556
ref
8925
ref
subst
proveHyp
nil
10551
remove
10555
remove
cons
nil
cons
cons
10557
def
8963
ref
subst
proveHyp
proveHyp
nil
10548
remove
2905
ref
10541
ref
nil
cons
10558
def
cons
nil
cons
cons
nil
cons
cons
10559
def
8963
ref
subst
proveHyp
proveHyp
nil
10554
remove
2905
ref
10542
ref
nil
cons
10560
def
cons
nil
cons
cons
nil
cons
cons
10561
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10540
ref
cons
110
ref
10545
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10539
ref
appTerm
10544
ref
appTerm
nil
cons
cons
43
ref
50
ref
10544
remove
appTerm
10539
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10545
ref
cons
43
ref
10540
ref
cons
nil
cons
cons
nil
cons
cons
10562
def
76
ref
subst
10562
remove
107
ref
subst
10561
ref
8925
ref
subst
10563
def
10559
ref
8941
ref
subst
proveHyp
10563
remove
10559
remove
8925
ref
subst
proveHyp
10564
def
10557
ref
8941
ref
subst
proveHyp
10561
remove
8941
ref
subst
10564
remove
10557
remove
8925
ref
subst
proveHyp
10556
remove
8963
ref
subst
proveHyp
proveHyp
10552
remove
8963
ref
subst
proveHyp
proveHyp
10549
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10545
remove
cons
110
ref
10540
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10538
remove
nil
cons
cons
2905
ref
10543
ref
nil
cons
10565
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
10044
remove
214
remove
cons
nil
cons
nil
cons
cons
10094
remove
subst
eqMp
nil
25
ref
10565
remove
cons
43
ref
10560
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
8897
ref
8991
ref
9212
ref
appTerm
10566
def
appTerm
10567
def
appTerm
10568
def
nil
cons
10569
def
cons
43
ref
419
ref
8991
ref
8897
ref
9212
ref
appTerm
10570
def
appTerm
10571
def
appTerm
10572
def
nil
cons
10573
def
cons
nil
cons
cons
nil
cons
cons
10574
def
140
ref
subst
10574
ref
76
ref
subst
10574
remove
107
ref
subst
nil
8943
ref
2905
ref
10566
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10575
def
8925
ref
subst
10576
def
nil
9004
ref
9227
remove
nil
cons
10577
def
cons
nil
cons
cons
10578
def
8941
ref
subst
10579
def
proveHyp
10575
ref
8941
ref
subst
10580
def
10576
ref
10578
ref
8925
ref
subst
10581
def
proveHyp
nil
8943
ref
10577
ref
cons
nil
cons
cons
10582
def
8963
ref
subst
proveHyp
proveHyp
nil
9004
ref
2905
ref
10570
ref
nil
cons
10583
def
cons
nil
cons
cons
nil
cons
cons
10584
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10569
ref
cons
110
ref
10573
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10568
ref
appTerm
10572
ref
appTerm
nil
cons
cons
43
ref
50
ref
10572
remove
appTerm
10568
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10573
ref
cons
43
ref
10569
ref
cons
nil
cons
cons
nil
cons
cons
10585
def
76
ref
subst
10585
remove
107
ref
subst
10584
ref
8925
ref
subst
10586
def
10582
ref
8941
ref
subst
proveHyp
10584
remove
8941
ref
subst
10586
remove
10582
remove
8925
ref
subst
proveHyp
10578
remove
8963
ref
subst
10587
def
proveHyp
proveHyp
10575
remove
8963
ref
subst
10588
def
proveHyp
proveHyp
eqMp
nil
108
ref
10573
remove
cons
110
ref
10569
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10567
ref
nil
cons
10589
def
cons
2905
ref
10571
ref
nil
cons
10590
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9277
ref
appTerm
10591
def
nil
cons
10592
def
cons
43
ref
419
ref
9101
ref
10567
ref
appTerm
10593
def
appTerm
10594
def
nil
cons
10595
def
cons
nil
cons
cons
nil
cons
cons
10596
def
140
ref
subst
10596
ref
76
ref
subst
10596
remove
107
ref
subst
nil
8943
ref
9247
remove
nil
cons
cons
nil
cons
cons
10597
def
8925
ref
subst
10598
def
nil
9004
ref
9237
remove
nil
cons
cons
nil
cons
cons
10599
def
8925
ref
subst
proveHyp
10600
def
nil
9117
ref
10577
remove
cons
nil
cons
cons
10601
def
8941
ref
subst
proveHyp
10597
ref
8941
ref
subst
10598
remove
10599
ref
8941
ref
subst
proveHyp
10600
remove
10601
ref
8925
ref
subst
proveHyp
10587
remove
proveHyp
proveHyp
10588
remove
proveHyp
proveHyp
nil
9117
ref
2905
ref
10589
ref
cons
nil
cons
cons
nil
cons
cons
10602
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10592
ref
cons
110
ref
10595
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10591
ref
appTerm
10594
ref
appTerm
nil
cons
cons
43
ref
50
ref
10594
remove
appTerm
10591
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10595
ref
cons
43
ref
10592
ref
cons
nil
cons
cons
nil
cons
cons
10603
def
76
ref
subst
10603
remove
107
ref
subst
10602
ref
8925
ref
subst
10604
def
10580
remove
proveHyp
10604
remove
10576
remove
proveHyp
10605
def
10579
remove
proveHyp
10602
remove
8941
ref
subst
10605
remove
10581
remove
proveHyp
10601
remove
8963
ref
subst
proveHyp
proveHyp
10599
remove
8963
ref
subst
proveHyp
proveHyp
10597
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10595
remove
cons
110
ref
10592
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9277
remove
nil
cons
10606
def
cons
2905
ref
10593
ref
nil
cons
10607
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9276
remove
9284
remove
122
ref
subst
proveHyp
10608
def
nil
108
ref
10606
remove
cons
110
ref
9278
ref
nil
cons
10609
def
cons
nil
cons
cons
nil
cons
cons
10610
def
122
ref
subst
proveHyp
eqMp
nil
25
ref
10607
remove
cons
43
ref
9019
ref
10567
ref
appTerm
10611
def
nil
cons
10612
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9569
ref
nil
9570
ref
43
ref
50
ref
10593
remove
appTerm
10611
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9572
ref
10567
ref
appTerm
10613
def
betaConv
9577
ref
nil
9578
ref
43
ref
10613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9579
ref
20
ref
10589
ref
cons
nil
cons
10614
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10612
remove
cons
43
ref
10589
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9587
ref
nil
9540
ref
43
ref
50
ref
10611
remove
appTerm
10567
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9588
ref
10567
remove
appTerm
10615
def
betaConv
9591
ref
nil
9592
ref
43
ref
10615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9593
ref
10614
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10590
remove
cons
43
ref
10583
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9594
ref
nil
9595
ref
43
ref
50
ref
10571
remove
appTerm
10570
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9596
ref
10570
ref
appTerm
10616
def
betaConv
9599
ref
nil
9600
ref
43
ref
10616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9601
ref
20
ref
10583
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10583
remove
cons
43
ref
9226
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10405
ref
nil
10406
ref
43
ref
50
ref
10570
remove
appTerm
9212
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10407
ref
9212
ref
appTerm
10617
def
betaConv
10410
ref
nil
10411
ref
43
ref
10617
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10412
ref
20
ref
9226
ref
cons
nil
cons
10618
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9226
remove
cons
43
ref
50
ref
10543
remove
appTerm
10542
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
9212
ref
appTerm
50
ref
9269
remove
2912
ref
appTerm
appTerm
2912
ref
appTerm
appTerm
absTerm
10619
def
10542
ref
appTerm
10620
def
betaConv
9407
ref
9212
remove
appTerm
10621
def
betaConv
9429
ref
nil
9430
ref
43
ref
10621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
10618
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10619
ref
appTerm
nil
cons
cons
43
ref
10620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10619
remove
nil
cons
cons
20
ref
10560
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10560
remove
cons
43
ref
456
ref
419
ref
10529
ref
9044
remove
appTerm
appTerm
10622
def
appTerm
10623
def
10541
ref
appTerm
10624
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
10623
ref
10530
ref
appTerm
10625
def
appTerm
10626
def
nil
cons
10627
def
cons
43
ref
419
ref
456
ref
10530
ref
appTerm
10628
def
10622
ref
appTerm
10629
def
appTerm
10630
def
nil
cons
10631
def
cons
nil
cons
cons
nil
cons
cons
10632
def
140
ref
subst
10632
ref
76
ref
subst
10632
remove
107
ref
subst
nil
2906
ref
10622
ref
nil
cons
10633
def
cons
10634
def
2905
ref
10530
ref
nil
cons
10635
def
cons
nil
cons
10636
def
cons
nil
cons
cons
10637
def
8925
ref
subst
10638
def
10637
ref
8941
ref
subst
10639
def
nil
2906
ref
10635
ref
cons
2905
ref
10633
ref
cons
nil
cons
cons
nil
cons
cons
10640
def
8963
ref
subst
10641
def
proveHyp
proveHyp
eqMp
nil
108
ref
10627
ref
cons
110
ref
10631
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10626
ref
appTerm
10630
ref
appTerm
nil
cons
cons
43
ref
50
ref
10630
remove
appTerm
10626
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10631
ref
cons
43
ref
10627
ref
cons
nil
cons
cons
nil
cons
cons
10642
def
76
ref
subst
10642
remove
107
ref
subst
10640
ref
8925
ref
subst
10643
def
10640
remove
8941
ref
subst
10644
def
10637
remove
8963
ref
subst
10645
def
proveHyp
proveHyp
eqMp
nil
108
ref
10631
remove
cons
110
ref
10627
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10625
ref
nil
cons
10646
def
cons
2905
ref
10629
ref
nil
cons
10647
def
cons
nil
cons
10648
def
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
10623
ref
9160
ref
10530
ref
appTerm
10649
def
appTerm
10650
def
appTerm
10651
def
nil
cons
10652
def
cons
10653
def
43
ref
419
ref
9160
ref
10625
ref
appTerm
10654
def
appTerm
10655
def
nil
cons
10656
def
cons
nil
cons
cons
nil
cons
cons
10657
def
140
ref
subst
10657
ref
76
ref
subst
10657
remove
107
ref
subst
nil
10634
remove
2905
ref
10649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10658
def
8925
ref
subst
10659
def
nil
9173
ref
10636
remove
cons
nil
cons
cons
10660
def
8941
ref
subst
proveHyp
10661
def
10658
ref
8941
ref
subst
10662
def
10659
remove
10660
ref
8925
ref
subst
proveHyp
10663
def
10645
remove
proveHyp
proveHyp
nil
9173
ref
2905
ref
10646
ref
cons
nil
cons
cons
nil
cons
cons
10664
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10652
ref
cons
10665
def
110
ref
10656
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10651
ref
appTerm
10666
def
10655
ref
appTerm
nil
cons
cons
43
ref
50
ref
10655
remove
appTerm
10651
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10656
ref
cons
43
ref
10652
ref
cons
nil
cons
10667
def
cons
nil
cons
cons
10668
def
76
ref
subst
10668
remove
107
ref
subst
10664
ref
8925
ref
subst
10669
def
10639
remove
proveHyp
10664
remove
8941
ref
subst
10669
remove
10638
remove
proveHyp
10660
remove
8963
ref
subst
10670
def
proveHyp
proveHyp
10658
remove
8963
ref
subst
10671
def
proveHyp
proveHyp
eqMp
nil
108
ref
10656
remove
cons
110
ref
10652
remove
cons
nil
cons
10672
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10650
remove
nil
cons
10673
def
cons
2905
ref
10654
ref
nil
cons
10674
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9160
ref
10629
ref
appTerm
10675
def
appTerm
10676
def
nil
cons
10677
def
cons
10667
remove
cons
nil
cons
cons
10678
def
140
ref
subst
10678
ref
76
ref
subst
10678
remove
107
ref
subst
nil
9173
remove
10648
remove
cons
nil
cons
cons
10679
def
8925
ref
subst
10680
def
10643
remove
proveHyp
10679
ref
8941
ref
subst
10680
remove
10644
remove
proveHyp
10670
remove
proveHyp
proveHyp
10671
remove
proveHyp
proveHyp
eqMp
nil
108
ref
10677
ref
cons
10672
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10676
ref
appTerm
10651
remove
appTerm
nil
cons
cons
43
ref
10666
remove
10676
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
10653
remove
43
ref
10677
ref
cons
nil
cons
cons
nil
cons
cons
10681
def
76
ref
subst
10681
remove
107
ref
subst
10661
remove
10663
remove
10662
remove
10641
remove
proveHyp
proveHyp
10679
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
10665
remove
110
ref
10677
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10675
remove
nil
cons
cons
2905
ref
10673
remove
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9340
remove
10629
ref
appTerm
10682
def
betaConv
9344
remove
nil
9345
remove
43
ref
10682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9346
remove
20
ref
10647
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
9347
ref
43
ref
10647
ref
cons
nil
cons
cons
nil
cons
cons
10683
def
76
ref
subst
10683
remove
107
ref
subst
2905
ref
52
ref
50
ref
10531
ref
appTerm
2907
ref
appTerm
appTerm
10628
remove
2907
remove
appTerm
10684
def
appTerm
absTerm
10685
def
10622
ref
appTerm
10686
def
betaConv
9883
remove
10530
ref
appTerm
10687
def
betaConv
9904
remove
nil
9905
remove
43
ref
10687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9885
remove
20
ref
10635
remove
cons
nil
cons
10688
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10685
ref
appTerm
nil
cons
cons
43
ref
10686
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10685
remove
nil
cons
cons
20
ref
10633
ref
cons
nil
cons
10689
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10547
ref
cons
43
ref
10633
ref
cons
nil
cons
cons
nil
cons
cons
10690
def
76
ref
subst
10690
remove
107
ref
subst
518
ref
10529
remove
refl
9351
remove
appThm
appThm
10531
remove
assume
eqMp
eqMp
nil
108
ref
10547
remove
cons
110
ref
10633
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
9352
remove
110
ref
10647
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10674
remove
cons
43
ref
10646
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10413
remove
nil
6226
remove
9348
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
8897
ref
8991
ref
461
remove
9158
ref
appTerm
10691
def
appTerm
10692
def
appTerm
10693
def
appTerm
10694
def
nil
cons
10695
def
cons
43
ref
419
ref
8991
ref
8897
ref
10691
ref
appTerm
10696
def
appTerm
10697
def
appTerm
10698
def
nil
cons
10699
def
cons
nil
cons
cons
nil
cons
cons
10700
def
140
ref
subst
10700
ref
76
ref
subst
10700
remove
107
ref
subst
nil
8943
ref
2905
ref
10692
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10701
def
8925
ref
subst
10702
def
nil
9004
ref
2905
ref
10691
ref
nil
cons
10703
def
cons
nil
cons
10704
def
cons
nil
cons
cons
10705
def
8941
ref
subst
10706
def
proveHyp
10701
ref
8941
ref
subst
10707
def
10702
ref
10705
ref
8925
ref
subst
10708
def
proveHyp
nil
8943
ref
10704
remove
cons
nil
cons
cons
10709
def
8963
ref
subst
proveHyp
proveHyp
nil
9004
ref
2905
ref
10696
ref
nil
cons
10710
def
cons
nil
cons
cons
nil
cons
cons
10711
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10695
ref
cons
110
ref
10699
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10694
ref
appTerm
10698
ref
appTerm
nil
cons
cons
43
ref
50
ref
10698
remove
appTerm
10694
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10699
ref
cons
43
ref
10695
ref
cons
nil
cons
cons
nil
cons
cons
10712
def
76
ref
subst
10712
remove
107
ref
subst
10711
ref
8925
ref
subst
10713
def
10709
ref
8941
ref
subst
proveHyp
10711
remove
8941
ref
subst
10713
remove
10709
remove
8925
ref
subst
proveHyp
10705
remove
8963
ref
subst
10714
def
proveHyp
proveHyp
10701
remove
8963
ref
subst
10715
def
proveHyp
proveHyp
eqMp
nil
108
ref
10699
remove
cons
110
ref
10695
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10693
ref
nil
cons
10716
def
cons
2905
ref
10697
ref
nil
cons
10717
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9281
ref
appTerm
10718
def
nil
cons
10719
def
cons
43
ref
419
ref
9101
ref
10693
ref
appTerm
10720
def
appTerm
10721
def
nil
cons
10722
def
cons
nil
cons
cons
nil
cons
cons
10723
def
140
ref
subst
10723
ref
76
ref
subst
10723
remove
107
ref
subst
nil
8943
ref
9249
remove
nil
cons
cons
nil
cons
cons
10724
def
8925
ref
subst
10725
def
nil
9004
ref
9239
remove
nil
cons
cons
nil
cons
cons
10726
def
8925
ref
subst
proveHyp
10727
def
nil
9117
ref
9229
remove
nil
cons
cons
nil
cons
cons
10728
def
8941
ref
subst
proveHyp
10724
ref
8941
ref
subst
10725
remove
10726
ref
8941
ref
subst
proveHyp
10727
remove
10728
ref
8925
ref
subst
proveHyp
10729
def
nil
9218
remove
10423
remove
cons
nil
cons
cons
10730
def
8925
ref
subst
proveHyp
10729
remove
10730
ref
8941
ref
subst
proveHyp
nil
10425
remove
9299
remove
cons
nil
cons
cons
10731
def
8963
ref
subst
proveHyp
proveHyp
10714
remove
proveHyp
proveHyp
10715
remove
proveHyp
proveHyp
nil
9117
ref
2905
ref
10716
ref
cons
nil
cons
cons
nil
cons
cons
10732
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10719
ref
cons
110
ref
10722
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10718
ref
appTerm
10721
ref
appTerm
nil
cons
cons
43
ref
50
ref
10721
remove
appTerm
10718
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10722
ref
cons
43
ref
10719
ref
cons
nil
cons
cons
nil
cons
cons
10733
def
76
ref
subst
10733
remove
107
ref
subst
10732
ref
8925
ref
subst
10734
def
10707
remove
proveHyp
10734
remove
10702
remove
proveHyp
10735
def
10706
remove
proveHyp
10732
remove
8941
ref
subst
10735
remove
10708
remove
proveHyp
10736
def
10731
ref
8925
ref
subst
proveHyp
10736
remove
10731
remove
8941
ref
subst
proveHyp
10730
remove
8963
ref
subst
proveHyp
proveHyp
10728
remove
8963
ref
subst
proveHyp
proveHyp
10726
remove
8963
ref
subst
proveHyp
proveHyp
10724
remove
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10722
remove
cons
110
ref
10719
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
9281
remove
nil
cons
10737
def
cons
2905
ref
10720
ref
nil
cons
10738
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
9285
remove
9286
remove
139
ref
subst
proveHyp
nil
108
ref
10737
remove
cons
110
ref
9282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
proveHyp
eqMp
nil
25
ref
10738
remove
cons
43
ref
9019
ref
10693
ref
appTerm
10739
def
nil
cons
10740
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9569
ref
nil
9570
ref
43
ref
50
ref
10720
remove
appTerm
10739
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9572
ref
10693
ref
appTerm
10741
def
betaConv
9577
ref
nil
9578
ref
43
ref
10741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9579
ref
20
ref
10716
ref
cons
nil
cons
10742
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10740
remove
cons
43
ref
10716
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9587
ref
nil
9540
ref
43
ref
50
ref
10739
remove
appTerm
10693
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9588
ref
10693
remove
appTerm
10743
def
betaConv
9591
ref
nil
9592
ref
43
ref
10743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9593
ref
10742
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10717
remove
cons
43
ref
10710
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9594
ref
nil
9595
ref
43
ref
50
ref
10697
remove
appTerm
10696
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9596
ref
10696
ref
appTerm
10744
def
betaConv
9599
ref
nil
9600
ref
43
ref
10744
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9601
ref
20
ref
10710
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10710
remove
cons
43
ref
10703
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10405
ref
nil
10406
ref
43
ref
50
ref
10696
remove
appTerm
10691
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10407
ref
10691
remove
appTerm
10745
def
betaConv
10410
ref
nil
10411
ref
43
ref
10745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10412
ref
20
ref
10703
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10703
remove
cons
43
ref
10483
remove
9158
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10484
remove
9158
ref
appTerm
10746
def
betaConv
10506
remove
nil
10507
remove
43
ref
10746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10508
remove
9343
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
9347
remove
43
ref
50
ref
10654
remove
appTerm
10625
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
9339
remove
9431
remove
2912
ref
appTerm
appTerm
absTerm
10747
def
10625
remove
appTerm
10748
def
betaConv
9407
ref
9158
remove
appTerm
10749
def
betaConv
9429
ref
nil
9430
ref
43
ref
10749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
ref
9343
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10747
ref
appTerm
nil
cons
cons
43
ref
10748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10747
remove
nil
cons
cons
20
ref
10646
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10647
remove
cons
43
ref
50
ref
10542
remove
appTerm
10624
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
ref
50
ref
10629
remove
appTerm
50
ref
10532
remove
2912
ref
appTerm
appTerm
10750
def
10623
remove
2912
ref
appTerm
appTerm
appTerm
absTerm
10751
def
10541
remove
appTerm
10752
def
betaConv
2905
ref
159
ref
2904
ref
50
ref
10684
remove
appTerm
10750
remove
4810
remove
appTerm
appTerm
absTerm
appTerm
absTerm
10753
def
10622
remove
appTerm
10754
def
betaConv
9442
remove
10530
remove
appTerm
10755
def
betaConv
9491
remove
nil
9492
remove
43
ref
10755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9444
remove
10688
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10753
ref
appTerm
nil
cons
cons
43
ref
10754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10753
remove
nil
cons
cons
10689
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10751
ref
appTerm
nil
cons
cons
43
ref
10752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10751
remove
nil
cons
cons
20
ref
10558
remove
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
25
ref
10528
remove
cons
43
ref
10524
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
25
ref
419
ref
8897
ref
8991
ref
9214
ref
appTerm
10756
def
appTerm
10757
def
appTerm
10758
def
nil
cons
10759
def
cons
43
ref
419
ref
8991
remove
8897
remove
9214
ref
appTerm
10760
def
appTerm
10761
def
appTerm
10762
def
nil
cons
10763
def
cons
nil
cons
cons
nil
cons
cons
10764
def
140
ref
subst
10764
ref
76
ref
subst
10764
remove
107
ref
subst
nil
8943
ref
2905
ref
10756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10765
def
8925
ref
subst
10766
def
nil
9004
ref
2905
ref
9228
ref
cons
nil
cons
10767
def
cons
nil
cons
cons
10768
def
8941
ref
subst
10769
def
proveHyp
10765
ref
8941
ref
subst
10770
def
10766
ref
10768
ref
8925
ref
subst
10771
def
proveHyp
nil
8943
ref
10767
ref
cons
nil
cons
cons
10772
def
8963
ref
subst
proveHyp
proveHyp
nil
9004
ref
2905
ref
10760
ref
nil
cons
10773
def
cons
nil
cons
cons
nil
cons
cons
10774
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10759
ref
cons
110
ref
10763
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10758
ref
appTerm
10762
ref
appTerm
nil
cons
cons
43
ref
50
ref
10762
remove
appTerm
10758
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10763
ref
cons
43
ref
10759
ref
cons
nil
cons
cons
nil
cons
cons
10775
def
76
ref
subst
10775
remove
107
ref
subst
10774
ref
8925
ref
subst
10776
def
10772
ref
8941
ref
subst
proveHyp
10774
remove
8941
ref
subst
10776
remove
10772
remove
8925
ref
subst
proveHyp
10768
remove
8963
ref
subst
10777
def
proveHyp
proveHyp
10765
remove
8963
ref
subst
10778
def
proveHyp
proveHyp
eqMp
nil
108
ref
10763
remove
cons
110
ref
10759
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10757
ref
nil
cons
10779
def
cons
2905
ref
10761
ref
nil
cons
10780
def
cons
nil
cons
cons
nil
cons
cons
8983
ref
subst
proveHyp
nil
25
ref
419
ref
9278
remove
appTerm
10781
def
nil
cons
10782
def
cons
43
ref
419
ref
9101
remove
10757
ref
appTerm
10783
def
appTerm
10784
def
nil
cons
10785
def
cons
nil
cons
cons
nil
cons
cons
10786
def
140
remove
subst
10786
ref
76
ref
subst
10786
remove
107
ref
subst
nil
8943
remove
2905
ref
9248
remove
cons
nil
cons
cons
nil
cons
cons
10787
def
8925
ref
subst
10788
def
nil
9004
remove
2905
ref
9238
remove
cons
nil
cons
cons
nil
cons
cons
10789
def
8925
ref
subst
proveHyp
10790
def
nil
9117
ref
10767
remove
cons
nil
cons
cons
10791
def
8941
ref
subst
proveHyp
10787
ref
8941
ref
subst
10788
remove
10789
ref
8941
ref
subst
proveHyp
10790
remove
10791
ref
8925
ref
subst
proveHyp
10777
remove
proveHyp
proveHyp
10778
remove
proveHyp
proveHyp
nil
9117
remove
2905
ref
10779
ref
cons
nil
cons
cons
nil
cons
cons
10792
def
8963
ref
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10782
ref
cons
110
ref
10785
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
50
ref
10781
ref
appTerm
10784
ref
appTerm
nil
cons
cons
43
ref
50
ref
10784
remove
appTerm
10781
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10785
ref
cons
43
ref
10782
ref
cons
nil
cons
cons
nil
cons
cons
10793
def
76
ref
subst
10793
remove
107
ref
subst
10792
ref
8925
remove
subst
10794
def
10770
remove
proveHyp
10794
remove
10766
remove
proveHyp
10795
def
10769
remove
proveHyp
10792
remove
8941
remove
subst
10795
remove
10771
remove
proveHyp
10791
remove
8963
ref
subst
proveHyp
proveHyp
10789
remove
8963
ref
subst
proveHyp
proveHyp
10787
remove
8963
remove
subst
proveHyp
proveHyp
eqMp
nil
108
ref
10785
remove
cons
110
ref
10782
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2906
ref
10609
remove
cons
2905
ref
10783
ref
nil
cons
10796
def
cons
nil
cons
cons
nil
cons
cons
8983
remove
subst
proveHyp
10608
remove
10610
remove
139
ref
subst
proveHyp
eqMp
nil
25
ref
10796
remove
cons
43
ref
9019
remove
10757
ref
appTerm
10797
def
nil
cons
10798
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9569
remove
nil
9570
remove
43
ref
50
ref
10783
remove
appTerm
10797
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9572
remove
10757
ref
appTerm
10799
def
betaConv
9577
remove
nil
9578
remove
43
ref
10799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9579
remove
20
ref
10779
ref
cons
nil
cons
10800
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10798
remove
cons
43
ref
10779
remove
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9587
remove
nil
9540
remove
43
ref
50
ref
10797
remove
appTerm
10757
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9588
remove
10757
remove
appTerm
10801
def
betaConv
9591
remove
nil
9592
remove
43
ref
10801
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9593
remove
10800
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10780
remove
cons
43
ref
10773
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9594
remove
nil
9595
remove
43
ref
50
ref
10761
remove
appTerm
10760
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9596
remove
10760
ref
appTerm
10802
def
betaConv
9599
remove
nil
9600
remove
43
ref
10802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9601
remove
20
ref
10773
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10773
remove
cons
43
ref
9228
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10405
remove
nil
10406
remove
43
ref
50
ref
10760
remove
appTerm
9214
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
10407
remove
9214
ref
appTerm
10803
def
betaConv
10410
remove
nil
10411
remove
43
ref
10803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10412
remove
20
ref
9228
ref
cons
nil
cons
10804
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
9228
remove
cons
43
ref
50
ref
10514
remove
appTerm
10513
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2904
remove
50
ref
9214
ref
appTerm
50
ref
9271
remove
2912
ref
appTerm
appTerm
2912
remove
appTerm
appTerm
absTerm
10805
def
10513
ref
appTerm
10806
def
betaConv
9407
remove
9214
remove
appTerm
10807
def
betaConv
9429
remove
nil
9430
remove
43
ref
10807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9409
remove
10804
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
159
ref
10805
ref
appTerm
nil
cons
cons
43
ref
10806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
161
ref
10805
remove
nil
cons
cons
20
ref
10524
ref
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
25
ref
10524
remove
cons
43
ref
6835
ref
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9580
remove
nil
9337
remove
43
ref
50
ref
10513
remove
appTerm
1519
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
9581
remove
1519
ref
appTerm
10808
def
betaConv
9584
remove
nil
9585
remove
43
ref
10808
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
9586
remove
20
ref
6835
remove
cons
nil
cons
10809
def
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
6836
remove
43
ref
50
ref
10414
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
2906
ref
3766
ref
2952
remove
15
ref
appTerm
appTerm
absTerm
10810
def
1519
remove
appTerm
10811
def
betaConv
nil
161
ref
10810
ref
nil
cons
cons
10812
def
nil
cons
nil
cons
cons
253
remove
subst
2906
ref
3766
remove
refl
2975
remove
appThm
2976
remove
trans
absThm
eqMp
nil
25
ref
159
ref
10810
remove
appTerm
nil
cons
cons
43
ref
10811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
ref
10812
remove
10809
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
108
ref
8888
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8886
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
443
remove
50
ref
8869
ref
444
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8870
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
ref
167
ref
8869
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8882
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
166
ref
8881
remove
appTerm
nil
cons
cons
43
ref
50
ref
8872
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
213
remove
167
remove
8871
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8877
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
ref
50
ref
8873
ref
734
ref
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8874
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
8873
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8830
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8827
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
8787
remove
constTerm
10813
def
"x"
8785
remove
var
10814
def
50
ref
8821
ref
10814
ref
varTerm
10815
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8822
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8813
ref
8808
ref
8821
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8815
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
10813
remove
10814
remove
50
ref
8806
ref
10815
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8807
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8813
remove
8808
remove
8806
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8763
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8759
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
8718
remove
constTerm
10816
def
"x"
8716
remove
var
10817
def
50
ref
8753
ref
10817
ref
varTerm
10818
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8754
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8745
ref
8739
ref
8753
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8747
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
10816
remove
10817
remove
50
ref
8737
ref
10818
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8738
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8745
remove
8739
remove
8737
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8695
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8692
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
8649
remove
constTerm
10819
def
"x"
8647
remove
var
10820
def
50
ref
8686
ref
10820
ref
varTerm
10821
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8687
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8678
ref
8673
ref
8686
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8680
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
10819
remove
10820
remove
50
ref
8671
ref
10821
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8672
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8678
remove
8673
remove
8671
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8604
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8601
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
8561
remove
constTerm
10822
def
"x"
8559
remove
var
10823
def
50
ref
8595
ref
10823
ref
varTerm
10824
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8596
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8587
ref
8582
ref
8595
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8589
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
10822
remove
10823
remove
50
ref
8580
ref
10824
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8581
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8587
remove
8582
remove
8580
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8523
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8521
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
158
ref
8483
remove
constTerm
10825
def
"x"
8357
remove
var
10826
def
50
ref
8517
ref
10826
ref
varTerm
10827
def
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8518
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8509
ref
8506
ref
8517
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8511
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
10825
remove
10826
remove
50
ref
8504
ref
10827
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
8505
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
8509
remove
8506
remove
8504
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
ref
subst
eqMp
eqMp
eqMp
nil
108
ref
8363
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
8373
remove
cons
110
ref
8433
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
8385
remove
cons
110
ref
8431
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
8389
remove
cons
110
ref
8429
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
8400
remove
cons
110
ref
8427
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
ref
8332
remove
cons
10828
def
110
ref
8425
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
7886
ref
110
ref
8423
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
1430
ref
8411
ref
appTerm
nil
cons
cons
43
ref
8412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
8411
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
8410
remove
nil
cons
cons
43
ref
8409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
8408
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
10828
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
8330
remove
43
ref
50
ref
8319
remove
appTerm
8289
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
51
ref
205
ref
400
ref
51
ref
8318
ref
401
ref
appTerm
betaConv
10829
def
appThm
8288
ref
401
remove
appTerm
betaConv
10830
def
appThm
absThm
appThm
appThm
51
ref
2486
ref
400
ref
10829
remove
absThm
appThm
appThm
2486
ref
400
remove
10830
remove
absThm
appThm
appThm
appThm
nil
694
ref
8318
remove
nil
cons
cons
344
remove
8288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
345
ref
5853
remove
subst
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7886
remove
110
ref
8294
ref
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
25
ref
3405
remove
8289
ref
appTerm
nil
cons
cons
43
ref
50
ref
8289
remove
appTerm
1421
ref
appTerm
10831
def
nil
cons
10832
def
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
25
ref
10832
remove
cons
nil
cons
nil
cons
cons
2452
remove
subst
sym
nil
25
ref
419
ref
10831
remove
appTerm
10833
def
nil
cons
10834
def
cons
10835
def
510
ref
cons
nil
cons
cons
10836
def
76
ref
subst
10836
remove
107
ref
subst
4263
remove
nil
4268
remove
510
ref
cons
nil
cons
cons
10837
def
135
ref
subst
proveHyp
1790
remove
nil
1793
ref
43
ref
4271
remove
15
ref
appTerm
10838
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
4273
remove
nil
4277
ref
43
ref
4278
ref
10838
remove
appTerm
10839
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
10835
ref
43
ref
4285
ref
10839
remove
appTerm
10840
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
1417
ref
50
ref
10833
ref
appTerm
10841
def
10840
remove
appTerm
absTerm
10842
def
1418
ref
appTerm
10843
def
betaConv
38
ref
1430
ref
10842
ref
appTerm
10844
def
absTerm
10845
def
39
ref
appTerm
10846
def
betaConv
205
ref
38
ref
1431
ref
1417
ref
10841
ref
refl
4290
remove
4291
remove
nil
96
ref
4267
remove
cons
nil
cons
nil
cons
cons
517
remove
subst
10847
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
218
ref
38
ref
1430
ref
1417
ref
10841
remove
4285
remove
4278
remove
419
ref
4266
remove
appTerm
10848
def
appTerm
10849
def
appTerm
10850
def
appTerm
10851
def
absTerm
10852
def
appTerm
10853
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
10853
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
10852
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
10851
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
10835
remove
43
ref
10850
remove
nil
cons
10854
def
cons
nil
cons
cons
nil
cons
cons
10855
def
76
ref
subst
10855
remove
107
ref
subst
nil
4277
remove
43
ref
10849
remove
nil
cons
10856
def
cons
nil
cons
cons
nil
cons
cons
10857
def
76
ref
subst
10857
remove
107
ref
subst
nil
1793
remove
43
ref
10848
remove
nil
cons
10858
def
cons
nil
cons
cons
nil
cons
cons
10859
def
76
ref
subst
10859
remove
107
ref
subst
10847
remove
10837
ref
76
ref
subst
10837
remove
107
ref
subst
nil
25
ref
8294
remove
cons
5109
ref
cons
nil
cons
cons
5949
remove
subst
153
ref
2486
ref
141
ref
4530
ref
4609
ref
153
ref
4610
remove
appThm
10860
def
204
ref
35
ref
204
ref
449
ref
nil
25
ref
8286
ref
nil
cons
cons
8839
remove
cons
nil
cons
cons
5967
ref
subst
1255
ref
nil
634
remove
43
ref
8285
ref
nil
cons
10861
def
cons
nil
cons
cons
nil
cons
cons
2592
remove
subst
appThm
3984
remove
4336
remove
subst
appThm
trans
absThm
appThm
absThm
appThm
appThm
appThm
appThm
absThm
appThm
appThm
4607
ref
appThm
trans
77
ref
153
ref
2486
ref
141
ref
141
ref
144
ref
3988
ref
8283
ref
166
ref
35
ref
166
ref
449
ref
456
ref
456
ref
425
ref
appTerm
419
ref
8285
ref
appTerm
10862
def
appTerm
appTerm
10863
def
66
ref
456
ref
3388
ref
appTerm
6224
remove
appTerm
appTerm
456
ref
8840
remove
appTerm
460
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
10864
def
absTerm
10865
def
142
ref
appTerm
betaConv
10866
def
absThm
appThm
appThm
4607
ref
appThm
appThm
2486
ref
141
ref
153
ref
10866
remove
appThm
4607
ref
appThm
absThm
appThm
appThm
nil
694
ref
10865
remove
nil
cons
cons
6510
remove
cons
nil
cons
cons
345
remove
43
ref
52
ref
66
ref
2192
remove
appTerm
55
ref
appTerm
appTerm
238
remove
35
ref
4349
remove
55
ref
appTerm
absTerm
appTerm
appTerm
absTerm
10867
def
55
remove
appTerm
10868
def
betaConv
175
remove
159
remove
10867
ref
appTerm
10869
def
absTerm
10870
def
177
remove
appTerm
10871
def
betaConv
nil
354
remove
10870
ref
appTerm
10872
def
axiom
nil
25
ref
10872
remove
nil
cons
cons
43
ref
10871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
361
remove
362
remove
10870
remove
nil
cons
cons
1213
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10869
remove
nil
cons
cons
43
ref
10868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
22
remove
161
remove
10867
remove
nil
cons
cons
335
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
subst
subst
eqMp
trans
10833
remove
assume
eqMp
nil
25
ref
267
ref
141
ref
66
ref
10864
remove
appTerm
4606
remove
appTerm
10873
def
absTerm
10874
def
appTerm
10875
def
nil
cons
cons
510
ref
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
218
ref
141
ref
50
ref
10874
ref
142
ref
appTerm
10876
def
appTerm
15
ref
appTerm
10877
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
141
ref
nil
96
ref
10877
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
25
ref
10876
ref
nil
cons
10878
def
cons
510
ref
cons
nil
cons
cons
10879
def
76
ref
subst
10879
remove
107
ref
subst
10876
ref
betaConv
10876
remove
assume
eqMp
nil
25
ref
10873
ref
nil
cons
10880
def
cons
510
ref
cons
nil
cons
cons
10881
def
135
ref
subst
proveHyp
10881
ref
76
ref
subst
10881
remove
107
ref
subst
153
ref
4530
ref
4609
ref
10860
remove
204
ref
35
ref
204
ref
449
ref
1255
ref
1255
ref
425
remove
refl
appThm
10862
remove
refl
appThm
appThm
153
ref
1255
ref
9258
remove
appThm
9266
remove
appThm
appThm
1255
remove
9259
remove
appThm
3366
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
4607
remove
appThm
10873
remove
assume
eqMp
10882
def
nil
108
ref
144
ref
3988
ref
8283
ref
166
ref
35
ref
166
ref
449
ref
10863
remove
66
ref
9357
remove
appTerm
9160
remove
460
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
10883
def
appTerm
10884
def
appTerm
10885
def
appTerm
nil
cons
cons
6520
remove
cons
nil
cons
cons
10886
def
122
ref
subst
proveHyp
10887
def
nil
1777
remove
110
ref
10885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10888
def
139
ref
subst
proveHyp
nil
108
ref
4604
ref
cons
110
ref
10884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
proveHyp
nil
108
ref
4605
ref
cons
110
ref
10883
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
proveHyp
nil
25
ref
4605
remove
cons
43
ref
1433
remove
1420
ref
appTerm
10889
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
1416
ref
refl
1659
remove
appThm
3311
remove
appThm
eqMp
nil
25
ref
8283
remove
10889
remove
appTerm
nil
cons
cons
43
ref
7233
remove
1420
remove
appTerm
10890
def
nil
cons
10891
def
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"z"
1293
ref
var
10892
def
3422
ref
cons
8343
remove
7236
ref
cons
8314
remove
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
8438
ref
appTerm
10893
def
419
ref
8351
remove
10892
remove
varTerm
10894
def
appTerm
10895
def
appTerm
10896
def
appTerm
nil
cons
cons
2906
ref
1316
ref
8346
remove
appTerm
10894
remove
appTerm
10897
def
nil
cons
10898
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2905
ref
10896
remove
nil
cons
10899
def
cons
2906
ref
8438
remove
nil
cons
10900
def
cons
nil
cons
cons
nil
cons
cons
4781
ref
subst
153
ref
nil
2906
ref
8437
remove
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
nil
2906
ref
10895
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
trans
appThm
10897
remove
refl
appThm
trans
10893
remove
refl
nil
43
ref
10898
remove
cons
10901
def
25
ref
10899
ref
cons
nil
cons
cons
nil
cons
cons
4911
ref
subst
appThm
nil
306
ref
10899
remove
cons
10901
remove
25
ref
10900
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
ref
subst
trans
2370
remove
6266
remove
subst
eqMp
eqMp
subst
eqMp
nil
25
ref
10891
remove
cons
43
ref
1321
ref
3989
ref
appTerm
10902
def
nil
cons
10903
def
cons
nil
cons
cons
nil
cons
cons
107
ref
subst
proveHyp
nil
"_11248"
1411
remove
var
10904
def
1456
remove
cons
nil
cons
nil
cons
cons
10887
remove
10888
remove
122
ref
subst
proveHyp
nil
310
remove
43
ref
1321
ref
1416
remove
10904
remove
varTerm
10905
def
appTerm
10906
def
142
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11249"
28
remove
var
10907
def
233
remove
cons
nil
cons
nil
cons
cons
nil
2905
ref
419
ref
30
remove
10907
remove
varTerm
10908
def
appTerm
10909
def
appTerm
nil
cons
10910
def
cons
2906
ref
1321
ref
10906
ref
10908
ref
appTerm
appTerm
10911
def
nil
cons
10912
def
cons
nil
cons
cons
nil
cons
cons
4759
ref
subst
51
ref
nil
2906
ref
10909
remove
nil
cons
cons
nil
cons
nil
cons
cons
2974
ref
subst
appThm
10911
remove
refl
appThm
trans
nil
43
ref
10912
remove
cons
25
ref
10910
remove
cons
nil
cons
cons
nil
cons
cons
4911
remove
subst
38
ref
2605
ref
1321
ref
10906
remove
39
ref
appTerm
appTerm
appTerm
absTerm
10913
def
10908
ref
appTerm
10914
def
betaConv
1417
ref
200
ref
38
ref
2605
remove
1421
remove
appTerm
absTerm
appTerm
absTerm
10915
def
10905
ref
appTerm
10916
def
betaConv
1431
remove
1417
ref
205
ref
38
ref
5110
remove
5967
remove
subst
absThm
appThm
absThm
appThm
1791
remove
assume
eqMp
nil
25
ref
1430
ref
10915
ref
appTerm
nil
cons
cons
43
ref
10916
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
10915
remove
nil
cons
cons
1455
remove
10905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
200
ref
10913
ref
appTerm
nil
cons
cons
43
ref
10914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
10913
remove
nil
cons
cons
219
ref
10908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
25
ref
66
ref
10890
remove
appTerm
10902
ref
appTerm
nil
cons
cons
5109
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"_11263"
1293
ref
var
10917
def
3422
remove
cons
"_11262"
1293
remove
var
10918
def
7236
remove
cons
nil
cons
cons
nil
cons
cons
nil
2905
ref
456
ref
419
ref
1316
remove
10918
remove
varTerm
10919
def
appTerm
10917
remove
varTerm
10920
def
appTerm
10921
def
appTerm
10922
def
appTerm
419
ref
1321
ref
10919
remove
appTerm
10923
def
appTerm
10924
def
appTerm
nil
cons
cons
2906
ref
1321
remove
10920
remove
appTerm
10925
def
nil
cons
10926
def
cons
nil
cons
cons
nil
cons
cons
4759
remove
subst
51
ref
nil
2905
ref
10924
ref
nil
cons
10927
def
cons
2906
ref
10922
remove
nil
cons
10928
def
cons
nil
cons
cons
nil
cons
cons
4781
remove
subst
153
ref
nil
2906
ref
10921
ref
nil
cons
10929
def
cons
nil
cons
10930
def
nil
cons
cons
2974
ref
subst
appThm
nil
2906
remove
10923
ref
nil
cons
cons
nil
cons
10931
def
nil
cons
cons
2974
remove
subst
appThm
trans
appThm
10925
ref
refl
appThm
trans
nil
306
ref
10927
remove
cons
43
ref
10926
ref
cons
25
ref
10928
remove
cons
nil
cons
cons
cons
nil
cons
cons
4939
remove
subst
nil
2905
ref
456
remove
10925
ref
appTerm
10924
remove
appTerm
nil
cons
10932
def
cons
10930
remove
cons
nil
cons
cons
6164
remove
subst
nil
25
ref
10929
ref
cons
43
ref
10932
ref
cons
nil
cons
10933
def
cons
nil
cons
cons
10934
def
76
ref
subst
10934
remove
107
ref
subst
1432
remove
10921
remove
assume
appThm
nil
25
ref
52
ref
10923
remove
appTerm
10925
remove
appTerm
nil
cons
cons
10933
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
2905
remove
10926
remove
cons
10931
remove
cons
nil
cons
cons
6189
remove
subst
eqMp
eqMp
nil
108
ref
10929
remove
cons
110
ref
10932
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
3403
ref
510
remove
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
3403
remove
nil
cons
nil
cons
cons
2642
remove
subst
10882
remove
10886
remove
139
remove
subst
proveHyp
eqMp
eqMp
eqMp
nil
108
ref
10880
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
108
ref
10878
remove
cons
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
25
ref
200
ref
219
remove
50
ref
10874
ref
734
remove
appTerm
appTerm
15
ref
appTerm
absTerm
appTerm
nil
cons
cons
43
ref
50
ref
10875
remove
appTerm
15
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
10874
remove
nil
cons
cons
540
ref
cons
nil
cons
cons
754
remove
subst
eqMp
eqMp
eqMp
nil
5021
remove
540
ref
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
5022
remove
110
ref
10858
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
5023
remove
110
ref
10856
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
nil
108
remove
10834
remove
cons
10935
def
110
ref
10854
remove
cons
nil
cons
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
25
ref
200
ref
10845
ref
appTerm
nil
cons
cons
43
ref
10846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
ref
218
ref
10845
remove
nil
cons
cons
221
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10844
remove
nil
cons
cons
43
ref
10843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
ref
1454
ref
10842
remove
nil
cons
cons
1457
ref
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
10935
remove
540
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
1430
ref
8293
remove
appTerm
thm
nil
1454
ref
1417
ref
3715
remove
absTerm
10936
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
3716
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
3714
remove
eqMp
absThm
eqMp
nil
1430
ref
10936
remove
appTerm
thm
nil
1454
ref
1417
ref
7986
remove
absTerm
10937
def
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
7987
remove
cons
nil
cons
nil
cons
cons
102
ref
subst
7985
remove
eqMp
absThm
eqMp
nil
1430
ref
10937
remove
appTerm
thm
6844
remove
nil
158
remove
1
remove
6662
remove
4
remove
cons
opType
constTerm
6685
remove
appTerm
thm
nil
7109
ref
3713
ref
1430
ref
1417
ref
200
ref
38
ref
7114
remove
200
ref
141
ref
50
ref
144
ref
3988
ref
166
ref
35
ref
166
ref
449
ref
50
ref
8284
remove
66
ref
8285
remove
appTerm
3388
ref
appTerm
appTerm
appTerm
460
ref
appTerm
absTerm
appTerm
absTerm
appTerm
10938
def
appTerm
10939
def
appTerm
10940
def
appTerm
7116
ref
appTerm
absTerm
10941
def
appTerm
10942
def
appTerm
10943
def
absTerm
10944
def
appTerm
10945
def
absTerm
10946
def
appTerm
10947
def
absTerm
10948
def
nil
cons
cons
nil
cons
nil
cons
cons
7126
ref
subst
3713
ref
nil
96
ref
10947
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
ref
10946
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
ref
subst
1417
ref
nil
96
ref
10945
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
ref
10944
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
ref
subst
38
ref
nil
96
ref
10943
remove
nil
cons
10949
def
cons
nil
cons
nil
cons
cons
102
ref
subst
77
ref
7129
remove
7147
remove
7151
remove
2486
ref
141
ref
4530
ref
4609
ref
66
ref
10938
ref
appTerm
10950
def
refl
10951
def
7152
remove
appThm
appThm
appThm
absThm
appThm
appThm
7153
remove
77
ref
2488
ref
1301
ref
nil
306
ref
7130
remove
cons
4444
remove
2598
remove
cons
cons
nil
cons
cons
nil
2492
remove
43
ref
52
ref
67
ref
5293
ref
appTerm
appTerm
5292
ref
67
remove
312
ref
appTerm
appTerm
appTerm
nil
cons
10952
def
cons
nil
cons
10953
def
cons
nil
cons
cons
10954
def
76
ref
subst
10954
remove
107
ref
subst
52
ref
"_11087"
3
ref
var
10955
def
52
ref
66
ref
10955
remove
varTerm
appTerm
10956
def
5293
ref
appTerm
appTerm
5292
ref
10956
remove
312
ref
appTerm
appTerm
appTerm
absTerm
10957
def
53
remove
appTerm
10958
def
appTerm
refl
10959
def
10957
ref
15
ref
appTerm
betaConv
appThm
77
ref
10958
remove
betaConv
appThm
10960
def
52
ref
1464
remove
5293
ref
appTerm
appTerm
5292
ref
5327
remove
appTerm
appTerm
refl
appThm
trans
10957
remove
refl
10961
def
2509
remove
appThm
eqMp
sym
77
ref
7397
ref
1468
remove
subst
appThm
5292
ref
refl
10962
def
5330
remove
appThm
5307
remove
trans
appThm
2562
ref
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2522
remove
110
ref
10952
ref
cons
nil
cons
10963
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
2526
remove
10953
remove
cons
nil
cons
cons
10964
def
76
ref
subst
10964
remove
107
ref
subst
10959
remove
"_11085"
3
ref
var
10965
def
52
ref
66
ref
10965
remove
varTerm
appTerm
10966
def
5293
ref
appTerm
appTerm
5292
ref
10966
remove
312
remove
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
10960
remove
52
ref
155
remove
5293
remove
appTerm
appTerm
5292
remove
5337
remove
appTerm
appTerm
refl
appThm
trans
10961
remove
2533
remove
appThm
eqMp
sym
77
ref
7397
remove
186
remove
subst
appThm
10962
remove
5338
remove
appThm
appThm
7402
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
2539
ref
10963
remove
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
2541
remove
nil
2539
remove
2542
remove
612
ref
10952
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
ref
subst
proveHyp
proveHyp
proveHyp
10967
def
subst
absThm
appThm
appThm
2486
ref
141
ref
nil
306
remove
10950
ref
7116
ref
appTerm
10968
def
nil
cons
cons
43
ref
4604
ref
cons
311
remove
cons
cons
nil
cons
cons
10967
remove
subst
absThm
appThm
appThm
sym
77
ref
77
ref
2488
remove
1301
ref
7149
remove
1301
ref
3243
remove
7111
remove
appTerm
absTerm
10969
def
1308
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
2486
ref
141
ref
4609
ref
10951
remove
10969
ref
3989
remove
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
nil
3713
ref
10969
remove
nil
cons
cons
nil
cons
nil
cons
cons
38
ref
52
ref
1923
remove
1301
remove
7154
remove
absTerm
appTerm
appTerm
267
ref
141
ref
3988
ref
10968
ref
appTerm
10970
def
absTerm
appTerm
appTerm
absTerm
10971
def
39
remove
appTerm
10972
def
betaConv
1417
ref
200
ref
10971
ref
appTerm
10973
def
absTerm
10974
def
1418
remove
appTerm
10975
def
betaConv
3713
ref
1430
ref
10974
ref
appTerm
10976
def
absTerm
10977
def
7110
remove
appTerm
10978
def
betaConv
nil
7164
ref
10977
ref
appTerm
10979
def
axiom
nil
25
ref
10979
remove
nil
cons
cons
43
ref
10978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
7125
remove
7109
ref
10977
remove
nil
cons
cons
7241
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10976
remove
nil
cons
cons
43
ref
10975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
1453
remove
1454
ref
10974
remove
nil
cons
cons
1457
remove
cons
nil
cons
cons
185
ref
subst
eqMp
eqMp
nil
25
ref
10973
remove
nil
cons
cons
43
ref
10972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
217
remove
218
ref
10971
remove
nil
cons
cons
221
remove
cons
nil
cons
cons
185
remove
subst
eqMp
eqMp
subst
eqMp
appThm
267
ref
141
ref
3988
ref
144
ref
10968
remove
appTerm
appTerm
absTerm
appTerm
refl
appThm
sym
2486
ref
141
ref
4609
remove
77
ref
nil
7176
ref
2766
ref
10903
ref
cons
2767
ref
10938
remove
nil
cons
10980
def
cons
nil
cons
cons
cons
nil
cons
cons
7174
ref
subst
153
ref
153
ref
204
ref
35
ref
204
ref
449
ref
51
ref
nil
4914
remove
3443
remove
cons
2766
ref
10861
remove
cons
2767
ref
521
remove
cons
nil
cons
cons
cons
nil
cons
cons
10981
def
7174
ref
subst
appThm
3366
ref
appThm
absThm
appThm
absThm
appThm
10982
def
appThm
10902
ref
refl
appThm
appThm
7116
remove
refl
10983
def
appThm
trans
appThm
nil
7176
remove
2766
ref
10980
remove
cons
10984
def
7177
ref
cons
cons
nil
cons
cons
7174
remove
subst
153
ref
4530
ref
10982
remove
appThm
appThm
10983
ref
appThm
trans
appThm
sym
153
remove
51
ref
204
ref
35
ref
204
remove
449
ref
51
ref
10981
remove
7146
ref
subst
appThm
3366
remove
appThm
absThm
appThm
absThm
appThm
appThm
52
ref
10902
ref
appTerm
143
remove
appTerm
10985
def
refl
appThm
sym
1729
remove
3776
remove
subst
eqMp
nil
25
ref
50
ref
166
ref
35
remove
166
remove
449
remove
50
ref
66
ref
8286
remove
appTerm
3388
remove
appTerm
appTerm
460
remove
appTerm
absTerm
appTerm
absTerm
appTerm
10986
def
appTerm
10985
remove
appTerm
nil
cons
cons
43
ref
52
ref
66
ref
10986
ref
appTerm
10902
remove
appTerm
appTerm
144
ref
10986
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
135
ref
subst
proveHyp
nil
"z"
3
ref
var
10987
def
309
remove
cons
541
ref
10903
remove
cons
20
ref
10986
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
546
remove
43
ref
50
ref
3736
remove
52
ref
548
ref
appTerm
10987
remove
varTerm
10988
def
appTerm
10989
def
appTerm
appTerm
3737
remove
66
ref
10988
ref
appTerm
10990
def
542
ref
appTerm
appTerm
appTerm
10991
def
nil
cons
10992
def
cons
nil
cons
10993
def
cons
nil
cons
cons
10994
def
76
ref
subst
10994
remove
107
ref
subst
52
ref
"_11083"
3
ref
var
10995
def
50
ref
50
ref
10995
remove
varTerm
10996
def
appTerm
10989
ref
appTerm
appTerm
52
ref
66
ref
10996
ref
appTerm
548
ref
appTerm
appTerm
10990
ref
10996
remove
appTerm
appTerm
appTerm
absTerm
10997
def
542
ref
appTerm
appTerm
refl
10998
def
10997
ref
15
ref
appTerm
betaConv
appThm
77
ref
20
ref
10991
remove
absTerm
542
remove
appTerm
betaConv
appThm
10999
def
50
ref
529
remove
10989
ref
appTerm
appTerm
3748
remove
10990
ref
15
remove
appTerm
appTerm
appTerm
refl
appThm
trans
10997
remove
refl
11000
def
561
remove
appThm
eqMp
sym
51
ref
nil
96
ref
10989
ref
nil
cons
cons
nil
cons
nil
cons
cons
11001
def
600
remove
subst
appThm
77
ref
3754
remove
appThm
nil
96
ref
10988
remove
nil
cons
cons
nil
cons
nil
cons
cons
11002
def
1473
remove
subst
appThm
2562
remove
trans
appThm
576
remove
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
577
remove
110
remove
10992
ref
cons
nil
cons
11003
def
cons
nil
cons
cons
122
ref
subst
deductAntisym
eqMp
nil
581
remove
10993
remove
cons
nil
cons
cons
11004
def
76
remove
subst
11004
remove
107
remove
subst
10998
remove
"_11081"
3
remove
var
11005
def
50
ref
50
ref
11005
remove
varTerm
11006
def
appTerm
10989
ref
appTerm
appTerm
52
remove
66
remove
11006
ref
appTerm
548
remove
appTerm
appTerm
10990
ref
11006
remove
appTerm
appTerm
appTerm
absTerm
14
ref
appTerm
betaConv
appThm
10999
remove
50
remove
497
remove
10989
remove
appTerm
appTerm
3760
remove
10990
remove
14
remove
appTerm
appTerm
appTerm
refl
appThm
trans
11000
remove
588
remove
appThm
eqMp
sym
51
remove
11001
ref
501
remove
subst
appThm
77
ref
3761
remove
appThm
11002
remove
936
remove
subst
appThm
appThm
11001
remove
573
remove
subst
trans
sym
94
ref
eqMp
eqMp
eqMp
nil
602
ref
11003
remove
cons
nil
cons
cons
122
remove
subst
deductAntisym
eqMp
610
remove
nil
602
remove
611
remove
612
remove
10992
remove
cons
nil
cons
cons
cons
nil
cons
cons
626
remove
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
appThm
10983
remove
appThm
eqMp
appThm
absThm
appThm
eqMp
eqMp
11007
def
subst
eqMp
trans
trans
appThm
77
remove
518
ref
205
remove
141
ref
10941
ref
142
remove
appTerm
betaConv
11008
def
absThm
appThm
appThm
appThm
2486
ref
141
ref
518
remove
11008
remove
appThm
absThm
appThm
appThm
nil
694
remove
10941
remove
nil
cons
cons
nil
cons
nil
cons
cons
6998
remove
subst
eqMp
2486
remove
141
ref
nil
7243
remove
2767
ref
10940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3057
remove
subst
nil
7245
ref
2766
remove
10939
remove
nil
cons
cons
7177
remove
cons
cons
nil
cons
cons
7146
ref
subst
trans
4530
remove
nil
7245
remove
10984
remove
2767
remove
4604
remove
cons
nil
cons
cons
cons
nil
cons
cons
7146
remove
subst
appThm
trans
absThm
appThm
trans
appThm
nil
20
remove
267
ref
141
ref
144
ref
3988
remove
10950
remove
7244
remove
appTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2450
remove
subst
trans
sym
94
remove
eqMp
nil
25
remove
7246
remove
419
remove
10942
ref
appTerm
appTerm
nil
cons
cons
43
remove
10949
remove
cons
nil
cons
cons
nil
cons
cons
135
remove
subst
proveHyp
nil
541
remove
10942
remove
nil
cons
cons
7247
remove
cons
nil
cons
cons
7267
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7164
ref
10948
remove
appTerm
thm
nil
7109
remove
3713
ref
1430
remove
1417
ref
200
remove
38
ref
7155
remove
267
remove
141
remove
144
remove
10970
remove
appTerm
absTerm
appTerm
appTerm
11009
def
absTerm
11010
def
appTerm
11011
def
absTerm
11012
def
appTerm
11013
def
absTerm
11014
def
nil
cons
cons
nil
cons
nil
cons
cons
7126
remove
subst
3713
remove
nil
96
ref
11013
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
1454
remove
11012
remove
nil
cons
cons
nil
cons
nil
cons
cons
3967
remove
subst
1417
remove
nil
96
ref
11011
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
ref
subst
nil
218
remove
11010
remove
nil
cons
cons
nil
cons
nil
cons
cons
376
remove
subst
38
remove
nil
96
remove
11009
remove
nil
cons
cons
nil
cons
nil
cons
cons
102
remove
subst
11007
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7164
remove
11014
remove
appTerm
thm