6
version
"b"
"Number.Natural.natural"
typeOp
nil
opType
0
def
var
1
def
"Data.Bool.==>"
const
"->"
typeOp
2
def
"bool"
typeOp
nil
opType
3
def
2
ref
3
ref
3
ref
nil
cons
4
def
cons
opType
5
def
nil
cons
cons
opType
6
def
constTerm
7
def
"Data.Bool.!"
const
8
def
2
ref
2
ref
"A"
varType
9
def
4
ref
cons
opType
10
def
4
ref
cons
opType
11
def
constTerm
12
def
"x"
9
ref
var
13
def
12
ref
"y"
9
ref
var
14
def
8
ref
2
ref
2
ref
0
ref
4
ref
cons
opType
15
def
4
ref
cons
opType
16
def
constTerm
17
def
"s"
0
ref
var
18
def
7
ref
"Data.Bool.~"
const
5
ref
constTerm
19
def
"="
const
20
def
2
ref
9
ref
10
ref
nil
cons
21
def
cons
opType
constTerm
22
def
13
ref
varTerm
23
def
appTerm
24
def
14
ref
varTerm
25
def
appTerm
26
def
appTerm
27
def
appTerm
28
def
20
ref
2
ref
0
ref
15
ref
nil
cons
29
def
cons
opType
30
def
constTerm
31
def
13
ref
"n"
0
ref
var
32
def
"Number.Natural.suc"
const
2
ref
0
ref
0
ref
nil
cons
33
def
cons
opType
34
def
constTerm
35
def
32
ref
varTerm
36
def
appTerm
37
def
absTerm
absTerm
38
def
23
ref
appTerm
39
def
38
ref
25
ref
appTerm
40
def
18
ref
varTerm
41
def
appTerm
appTerm
appTerm
40
ref
39
ref
41
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
42
def
"Data.Bool./\\"
const
6
ref
constTerm
43
def
31
ref
"Set.fold"
const
44
def
2
ref
2
ref
9
ref
34
ref
nil
cons
45
def
cons
opType
46
def
2
ref
0
ref
2
ref
"Set.set"
typeOp
47
def
9
ref
nil
cons
48
def
opType
49
def
33
ref
cons
opType
50
def
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
51
def
38
ref
appTerm
52
def
1
ref
varTerm
53
def
appTerm
54
def
"Set.{}"
const
55
def
49
ref
constTerm
56
def
appTerm
appTerm
53
ref
appTerm
appTerm
12
ref
13
ref
8
ref
2
ref
2
ref
49
ref
4
ref
cons
opType
57
def
4
ref
cons
opType
58
def
constTerm
59
def
"s"
49
ref
var
60
def
7
ref
"Set.finite"
const
61
def
57
ref
constTerm
62
def
60
ref
varTerm
63
def
appTerm
64
def
appTerm
65
def
31
ref
54
ref
"Set.insert"
const
66
def
2
ref
9
ref
2
ref
49
ref
49
ref
nil
cons
67
def
cons
opType
68
def
nil
cons
69
def
cons
opType
constTerm
70
def
23
ref
appTerm
71
def
63
ref
appTerm
72
def
appTerm
appTerm
"Data.Bool.cond"
const
73
def
2
ref
3
ref
2
ref
0
ref
45
remove
cons
opType
74
def
nil
cons
cons
opType
constTerm
75
def
"Set.member"
const
76
def
2
ref
9
ref
57
ref
nil
cons
77
def
cons
opType
constTerm
78
def
23
ref
appTerm
79
def
63
ref
appTerm
80
def
appTerm
81
def
54
remove
63
ref
appTerm
82
def
appTerm
39
ref
82
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
83
def
"Number.Natural.zero"
const
0
ref
constTerm
84
def
appTerm
85
def
betaConv
"f"
46
ref
var
86
def
17
ref
1
ref
7
ref
12
ref
13
ref
12
ref
14
ref
17
ref
18
ref
28
ref
31
ref
86
remove
varTerm
87
def
23
ref
appTerm
88
def
87
ref
25
ref
appTerm
89
def
41
ref
appTerm
appTerm
appTerm
89
remove
88
ref
41
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
43
ref
31
ref
51
remove
87
remove
appTerm
53
ref
appTerm
90
def
56
ref
appTerm
appTerm
53
ref
appTerm
appTerm
12
ref
13
ref
59
ref
60
ref
65
ref
31
ref
90
ref
72
ref
appTerm
appTerm
81
ref
90
remove
63
ref
appTerm
91
def
appTerm
88
remove
91
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
92
def
38
ref
appTerm
93
def
betaConv
"A"
48
ref
cons
94
def
"B"
33
ref
cons
95
def
nil
cons
cons
nil
nil
cons
96
def
cons
nil
8
ref
2
ref
2
ref
2
ref
9
ref
2
ref
"B"
varType
97
def
97
ref
nil
cons
98
def
cons
opType
nil
cons
99
def
cons
opType
100
def
4
ref
cons
opType
4
ref
cons
opType
constTerm
"f"
100
ref
var
101
def
8
ref
2
ref
2
ref
97
ref
4
ref
cons
opType
102
def
4
ref
cons
opType
103
def
constTerm
104
def
"b"
97
ref
var
105
def
7
ref
12
ref
13
ref
12
ref
14
ref
104
ref
"s"
97
ref
var
106
def
28
ref
20
ref
2
ref
97
ref
102
ref
nil
cons
107
def
cons
opType
constTerm
108
def
101
remove
varTerm
109
def
23
ref
appTerm
110
def
109
ref
25
ref
appTerm
111
def
106
remove
varTerm
112
def
appTerm
appTerm
appTerm
111
remove
110
ref
112
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
43
ref
108
ref
44
remove
2
ref
100
ref
2
ref
97
ref
2
ref
49
ref
98
ref
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
109
remove
appTerm
105
ref
varTerm
113
def
appTerm
114
def
56
ref
appTerm
appTerm
113
ref
appTerm
appTerm
12
ref
13
ref
59
ref
60
ref
65
ref
108
ref
114
ref
72
ref
appTerm
appTerm
73
ref
2
ref
3
ref
2
ref
97
ref
99
remove
cons
opType
nil
cons
cons
opType
constTerm
115
def
80
ref
appTerm
114
remove
63
ref
appTerm
116
def
appTerm
110
remove
116
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
nil
"p"
3
ref
var
117
def
8
ref
2
ref
2
ref
46
ref
4
ref
cons
opType
118
def
4
ref
cons
opType
constTerm
92
ref
appTerm
nil
cons
cons
"q"
3
ref
var
119
def
93
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
20
ref
6
ref
constTerm
120
def
7
ref
117
ref
varTerm
121
def
appTerm
122
def
119
ref
varTerm
123
def
appTerm
124
def
appTerm
125
def
refl
117
ref
119
ref
120
ref
43
ref
121
ref
appTerm
126
def
123
ref
appTerm
127
def
appTerm
128
def
121
ref
appTerm
absTerm
129
def
absTerm
130
def
121
ref
appTerm
betaConv
123
ref
refl
131
def
appThm
129
remove
123
ref
appTerm
betaConv
trans
appThm
nil
20
ref
2
ref
6
ref
2
ref
6
ref
4
ref
cons
opType
132
def
nil
cons
cons
opType
constTerm
133
def
7
ref
appTerm
130
remove
appTerm
axiom
121
ref
refl
134
def
appThm
131
ref
appThm
eqMp
135
def
sym
136
def
128
remove
refl
119
ref
20
ref
2
ref
132
ref
2
ref
132
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
137
def
"f"
6
ref
var
138
def
138
ref
varTerm
139
def
121
ref
appTerm
123
ref
appTerm
absTerm
140
def
appTerm
138
ref
139
ref
"Data.Bool.T"
const
3
ref
constTerm
141
def
appTerm
141
ref
appTerm
absTerm
142
def
appTerm
absTerm
143
def
123
ref
appTerm
betaConv
appThm
20
ref
2
ref
5
ref
2
ref
5
ref
4
ref
cons
opType
144
def
nil
cons
cons
opType
constTerm
145
def
126
ref
appTerm
refl
117
ref
143
remove
absTerm
146
def
121
ref
appTerm
betaConv
appThm
nil
133
ref
43
ref
appTerm
146
ref
appTerm
axiom
147
def
134
ref
appThm
eqMp
131
ref
appThm
eqMp
148
def
sym
138
ref
139
ref
refl
nil
"t"
3
ref
var
149
def
121
ref
nil
cons
150
def
cons
nil
cons
nil
cons
cons
151
def
120
ref
149
ref
varTerm
152
def
appTerm
153
def
141
ref
appTerm
154
def
assume
sym
nil
141
ref
axiom
155
def
eqMp
152
ref
assume
155
ref
deductAntisym
deductAntisym
156
def
subst
121
ref
assume
157
def
eqMp
appThm
nil
149
ref
123
ref
nil
cons
158
def
cons
nil
cons
nil
cons
cons
159
def
156
ref
subst
123
ref
assume
160
def
eqMp
appThm
absThm
eqMp
161
def
nil
"P"
3
ref
var
162
def
150
ref
cons
163
def
"Q"
3
ref
var
164
def
158
ref
cons
nil
cons
165
def
cons
nil
cons
cons
120
ref
refl
166
def
138
ref
139
remove
162
ref
varTerm
167
def
appTerm
168
def
164
ref
varTerm
169
def
appTerm
absTerm
170
def
117
ref
119
ref
121
ref
absTerm
absTerm
171
def
appTerm
betaConv
171
ref
167
ref
appTerm
betaConv
169
ref
refl
172
def
appThm
119
ref
167
ref
absTerm
169
ref
appTerm
betaConv
trans
trans
appThm
142
ref
171
ref
appTerm
betaConv
171
ref
141
ref
appTerm
betaConv
141
ref
refl
173
def
appThm
119
ref
141
ref
absTerm
141
ref
appTerm
betaConv
trans
trans
appThm
120
ref
43
ref
167
ref
appTerm
174
def
169
ref
appTerm
175
def
appTerm
refl
119
ref
137
remove
138
remove
168
remove
123
ref
appTerm
absTerm
appTerm
142
ref
appTerm
absTerm
169
ref
appTerm
betaConv
appThm
145
ref
174
remove
appTerm
refl
146
remove
167
ref
appTerm
betaConv
appThm
147
remove
167
ref
refl
176
def
appThm
eqMp
172
ref
appThm
eqMp
175
remove
assume
eqMp
177
def
171
remove
refl
appThm
eqMp
sym
155
ref
eqMp
178
def
subst
179
def
deductAntisym
eqMp
135
remove
124
ref
assume
180
def
eqMp
sym
157
remove
eqMp
166
ref
140
remove
117
ref
119
ref
123
ref
absTerm
181
def
absTerm
182
def
appTerm
betaConv
182
ref
121
ref
appTerm
betaConv
131
ref
appThm
181
ref
123
ref
appTerm
betaConv
trans
trans
appThm
142
remove
182
ref
appTerm
betaConv
182
ref
141
ref
appTerm
betaConv
173
remove
appThm
181
ref
141
ref
appTerm
betaConv
trans
trans
183
def
appThm
148
remove
127
ref
assume
eqMp
182
ref
refl
184
def
appThm
eqMp
sym
155
ref
eqMp
185
def
proveHyp
186
def
deductAntisym
187
def
subst
proveHyp
"A"
46
ref
nil
cons
cons
nil
cons
"P"
118
remove
var
92
remove
nil
cons
cons
"x"
46
remove
var
38
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
117
ref
12
ref
"P"
10
ref
var
188
def
varTerm
189
def
appTerm
190
def
nil
cons
191
def
cons
119
ref
189
ref
23
ref
appTerm
192
def
nil
cons
193
def
cons
nil
cons
cons
nil
cons
cons
194
def
136
ref
subst
194
remove
185
remove
161
remove
deductAntisym
195
def
subst
120
ref
192
ref
appTerm
refl
13
ref
141
ref
absTerm
196
def
23
ref
appTerm
betaConv
appThm
"p"
10
ref
var
197
def
20
ref
2
ref
10
ref
11
ref
nil
cons
cons
opType
constTerm
198
def
197
ref
varTerm
199
def
appTerm
200
def
196
remove
appTerm
absTerm
201
def
189
ref
appTerm
betaConv
202
def
nil
20
ref
2
ref
11
ref
2
ref
11
ref
4
ref
cons
opType
203
def
nil
cons
cons
opType
constTerm
204
def
12
ref
appTerm
201
remove
appTerm
axiom
189
ref
refl
205
def
appThm
206
def
190
ref
assume
eqMp
eqMp
23
ref
refl
207
def
appThm
eqMp
sym
155
ref
eqMp
eqMp
nil
162
ref
191
remove
cons
164
ref
193
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
208
def
subst
eqMp
eqMp
nil
117
ref
17
ref
83
ref
appTerm
nil
cons
cons
119
ref
85
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
33
ref
cons
209
def
nil
cons
210
def
"P"
15
ref
var
211
def
83
remove
nil
cons
cons
"x"
0
ref
var
212
def
84
ref
nil
cons
213
def
cons
nil
cons
214
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
42
remove
43
ref
31
ref
52
remove
84
ref
appTerm
215
def
56
ref
appTerm
appTerm
84
ref
appTerm
appTerm
216
def
12
ref
13
ref
59
ref
60
ref
65
ref
31
ref
215
ref
72
ref
appTerm
appTerm
217
def
81
ref
215
ref
63
ref
appTerm
218
def
appTerm
219
def
39
ref
218
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
43
ref
31
ref
"Set.size"
const
220
def
50
ref
constTerm
221
def
56
ref
appTerm
222
def
appTerm
223
def
84
ref
appTerm
224
def
appTerm
12
ref
13
ref
59
ref
60
ref
65
ref
31
ref
221
ref
72
ref
appTerm
225
def
appTerm
226
def
81
ref
221
ref
63
ref
appTerm
227
def
appTerm
35
ref
227
ref
appTerm
228
def
appTerm
appTerm
229
def
appTerm
230
def
absTerm
231
def
appTerm
232
def
absTerm
233
def
appTerm
234
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
7
ref
refl
235
def
235
ref
12
ref
refl
236
def
13
ref
236
ref
14
ref
17
ref
refl
237
def
18
remove
28
remove
refl
31
ref
refl
238
def
39
remove
betaConv
239
def
40
remove
betaConv
240
def
41
ref
refl
241
def
appThm
nil
"f"
34
ref
var
35
ref
nil
cons
cons
242
def
"y"
0
ref
var
243
def
41
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
95
ref
210
ref
cons
96
ref
cons
14
ref
108
ref
13
ref
"f"
2
ref
9
ref
98
ref
cons
244
def
opType
245
def
var
246
def
varTerm
247
def
23
ref
appTerm
248
def
absTerm
25
ref
appTerm
appTerm
247
ref
25
ref
appTerm
249
def
appTerm
absTerm
250
def
25
ref
appTerm
251
def
betaConv
246
ref
12
ref
250
ref
appTerm
252
def
absTerm
253
def
247
ref
appTerm
254
def
betaConv
nil
8
ref
2
ref
2
ref
245
ref
4
ref
cons
opType
255
def
4
ref
cons
opType
256
def
constTerm
257
def
253
ref
appTerm
258
def
axiom
nil
117
ref
258
remove
nil
cons
cons
119
ref
254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
245
ref
nil
cons
259
def
cons
nil
cons
260
def
"P"
255
ref
var
261
def
253
remove
nil
cons
cons
"x"
245
ref
var
262
def
247
ref
nil
cons
cons
nil
cons
263
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
252
remove
nil
cons
cons
119
ref
251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
94
ref
nil
cons
264
def
188
ref
250
remove
nil
cons
cons
13
ref
25
ref
nil
cons
265
def
cons
nil
cons
266
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
267
def
subst
268
def
subst
269
def
trans
appThm
nil
242
ref
243
ref
35
ref
41
remove
appTerm
270
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
268
ref
subst
271
def
trans
appThm
240
remove
239
ref
241
remove
appThm
269
remove
trans
appThm
271
remove
trans
appThm
nil
212
ref
35
ref
270
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
210
ref
96
ref
cons
272
def
nil
149
ref
24
ref
23
ref
appTerm
273
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
207
ref
eqMp
274
def
subst
275
def
subst
trans
appThm
nil
149
ref
27
ref
nil
cons
276
def
cons
nil
cons
nil
cons
cons
149
ref
120
ref
7
ref
152
ref
appTerm
277
def
141
ref
appTerm
appTerm
141
ref
appTerm
absTerm
278
def
152
ref
appTerm
279
def
betaConv
nil
8
ref
144
ref
constTerm
280
def
278
ref
appTerm
281
def
axiom
nil
117
ref
281
remove
nil
cons
cons
119
ref
279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
4
ref
cons
nil
cons
282
def
"P"
5
remove
var
283
def
278
remove
nil
cons
cons
"x"
3
ref
var
284
def
152
ref
nil
cons
285
def
cons
nil
cons
286
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
287
def
subst
trans
absThm
appThm
nil
149
ref
141
ref
nil
cons
288
def
cons
nil
cons
nil
cons
cons
289
def
272
ref
149
ref
120
ref
12
ref
13
ref
152
ref
absTerm
290
def
appTerm
appTerm
152
ref
appTerm
absTerm
291
def
152
ref
appTerm
292
def
betaConv
nil
280
ref
291
ref
appTerm
293
def
axiom
nil
117
ref
293
remove
nil
cons
cons
119
ref
292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
291
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
294
def
subst
295
def
subst
296
def
trans
absThm
appThm
289
ref
294
ref
subst
297
def
trans
absThm
appThm
297
ref
trans
appThm
216
ref
refl
236
ref
13
ref
59
ref
refl
298
def
60
ref
65
ref
refl
299
def
217
ref
refl
219
ref
refl
239
remove
218
ref
refl
appThm
nil
242
remove
243
ref
218
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
268
remove
subst
trans
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
149
ref
216
remove
12
ref
13
ref
59
ref
60
ref
65
ref
217
remove
219
remove
35
ref
218
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
300
def
149
ref
120
ref
7
ref
141
ref
appTerm
301
def
152
ref
appTerm
appTerm
152
ref
appTerm
absTerm
302
def
152
ref
appTerm
303
def
betaConv
nil
280
ref
302
ref
appTerm
304
def
axiom
nil
117
ref
304
remove
nil
cons
cons
119
ref
303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
302
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
305
def
subst
trans
appThm
43
ref
refl
306
def
238
ref
nil
20
ref
2
ref
50
ref
2
ref
50
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
221
ref
appTerm
215
remove
appTerm
axiom
307
def
56
ref
refl
308
def
appThm
appThm
84
ref
refl
309
def
appThm
appThm
236
ref
13
ref
298
ref
60
ref
299
ref
238
ref
307
ref
72
ref
refl
310
def
appThm
appThm
81
ref
refl
307
remove
63
ref
refl
311
def
appThm
312
def
appThm
35
ref
refl
313
def
312
remove
appThm
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
300
remove
nil
149
ref
277
ref
152
ref
appTerm
314
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
149
ref
314
remove
absTerm
315
def
152
ref
appTerm
316
def
betaConv
nil
280
ref
315
ref
appTerm
317
def
axiom
nil
117
ref
317
remove
nil
cons
cons
119
ref
316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
315
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
318
def
subst
trans
sym
155
ref
eqMp
eqMp
319
def
nil
162
ref
224
ref
nil
cons
cons
164
ref
234
ref
nil
cons
320
def
cons
nil
cons
cons
nil
cons
cons
321
def
178
ref
subst
proveHyp
322
def
nil
224
ref
thm
"Set.hasSize"
const
323
def
2
ref
47
ref
4
ref
opType
324
def
29
ref
cons
opType
constTerm
325
def
"Set.universe"
const
326
def
324
ref
constTerm
327
def
appTerm
328
def
refl
nil
32
ref
213
ref
cons
329
def
nil
cons
330
def
nil
cons
cons
331
def
32
ref
31
ref
35
ref
"Number.Natural.bit1"
const
34
ref
constTerm
332
def
36
ref
appTerm
333
def
appTerm
appTerm
"Number.Natural.bit0"
const
34
remove
constTerm
334
def
37
ref
appTerm
335
def
appTerm
absTerm
336
def
36
ref
appTerm
337
def
betaConv
306
ref
237
ref
32
ref
nil
212
ref
37
ref
nil
cons
338
def
cons
nil
cons
nil
cons
cons
275
ref
subst
339
def
absThm
appThm
296
ref
trans
appThm
306
ref
31
ref
35
ref
84
ref
appTerm
340
def
appTerm
341
def
refl
331
ref
32
ref
31
ref
333
ref
appTerm
35
ref
334
ref
36
ref
appTerm
342
def
appTerm
343
def
appTerm
absTerm
344
def
36
ref
appTerm
345
def
betaConv
nil
17
ref
344
ref
appTerm
346
def
axiom
nil
117
ref
346
remove
nil
cons
cons
119
ref
345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
344
remove
nil
cons
cons
212
ref
36
ref
nil
cons
347
def
cons
nil
cons
348
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
313
ref
32
ref
31
ref
342
remove
appTerm
"Number.Natural.+"
const
74
ref
constTerm
349
def
36
ref
appTerm
350
def
36
ref
appTerm
351
def
appTerm
352
def
absTerm
353
def
36
ref
appTerm
354
def
betaConv
355
def
238
ref
nil
31
ref
334
ref
84
ref
appTerm
appTerm
356
def
84
ref
appTerm
axiom
appThm
331
ref
32
ref
31
ref
349
ref
84
ref
appTerm
357
def
36
ref
appTerm
appTerm
36
ref
appTerm
absTerm
358
def
36
ref
appTerm
359
def
betaConv
nil
17
ref
358
ref
appTerm
360
def
axiom
nil
117
ref
360
remove
nil
cons
cons
119
ref
359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
358
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
361
def
subst
362
def
appThm
nil
214
remove
nil
cons
cons
275
ref
subst
363
def
trans
sym
155
ref
eqMp
nil
117
ref
356
remove
357
remove
84
ref
appTerm
appTerm
364
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
352
ref
appTerm
31
ref
335
remove
appTerm
365
def
349
ref
37
ref
appTerm
37
ref
appTerm
appTerm
366
def
appTerm
367
def
absTerm
368
def
appTerm
369
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
368
remove
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
120
ref
190
remove
appTerm
refl
202
remove
appThm
206
remove
eqMp
sym
370
def
subst
371
def
subst
32
ref
nil
149
ref
367
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
352
ref
nil
cons
372
def
cons
119
ref
366
remove
nil
cons
373
def
cons
nil
cons
cons
nil
cons
cons
374
def
136
ref
subst
374
remove
195
ref
subst
238
ref
32
ref
365
remove
35
ref
343
ref
appTerm
appTerm
absTerm
375
def
36
ref
appTerm
376
def
betaConv
nil
17
ref
375
ref
appTerm
377
def
axiom
nil
117
ref
377
remove
nil
cons
cons
119
ref
376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
375
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
313
ref
313
ref
352
remove
assume
appThm
appThm
trans
appThm
nil
32
ref
338
ref
cons
378
def
"m"
0
ref
var
379
def
347
ref
cons
380
def
nil
cons
381
def
cons
nil
cons
cons
32
ref
31
ref
349
ref
35
ref
379
ref
varTerm
382
def
appTerm
383
def
appTerm
36
ref
appTerm
appTerm
35
ref
349
ref
382
ref
appTerm
384
def
36
ref
appTerm
385
def
appTerm
386
def
appTerm
absTerm
387
def
36
ref
appTerm
388
def
betaConv
379
ref
17
ref
387
ref
appTerm
389
def
absTerm
390
def
382
ref
appTerm
391
def
betaConv
nil
17
ref
390
ref
appTerm
392
def
axiom
nil
117
ref
392
remove
nil
cons
cons
119
ref
391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
390
remove
nil
cons
cons
212
ref
382
ref
nil
cons
393
def
cons
nil
cons
394
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
389
remove
nil
cons
cons
119
ref
388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
387
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
395
def
subst
396
def
313
ref
nil
381
ref
nil
cons
cons
397
def
32
ref
31
ref
384
ref
37
ref
appTerm
appTerm
386
ref
appTerm
absTerm
398
def
36
ref
appTerm
399
def
betaConv
379
ref
17
ref
398
ref
appTerm
400
def
absTerm
401
def
382
ref
appTerm
402
def
betaConv
nil
17
ref
401
ref
appTerm
403
def
axiom
nil
117
ref
403
remove
nil
cons
cons
119
ref
402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
401
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
400
remove
nil
cons
cons
119
ref
399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
398
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
404
def
subst
appThm
405
def
trans
appThm
nil
212
ref
35
ref
35
ref
351
remove
appTerm
406
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
275
ref
subst
407
def
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
372
remove
cons
164
ref
373
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
364
remove
appTerm
369
remove
appTerm
nil
cons
cons
119
ref
17
ref
353
ref
appTerm
nil
cons
408
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
353
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
355
ref
appThm
353
ref
37
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
355
remove
absThm
appThm
appThm
nil
"p"
15
ref
var
409
def
353
remove
nil
cons
410
def
cons
nil
cons
nil
cons
cons
409
ref
7
ref
43
ref
409
ref
varTerm
411
def
84
ref
appTerm
appTerm
17
ref
32
ref
7
ref
411
ref
36
ref
appTerm
412
def
appTerm
411
ref
37
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
17
ref
32
ref
412
remove
absTerm
appTerm
appTerm
absTerm
413
def
411
ref
appTerm
414
def
betaConv
nil
8
ref
2
ref
16
ref
4
ref
cons
opType
constTerm
413
ref
appTerm
415
def
axiom
nil
117
ref
415
remove
nil
cons
cons
119
ref
414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
29
ref
cons
nil
cons
"P"
16
ref
var
413
remove
nil
cons
cons
"x"
15
ref
var
411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
416
def
subst
eqMp
eqMp
nil
117
ref
408
remove
cons
119
ref
354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
410
remove
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
417
def
appThm
418
def
trans
419
def
subst
313
ref
362
remove
appThm
420
def
trans
421
def
appThm
nil
212
ref
340
ref
nil
cons
422
def
cons
nil
cons
nil
cons
cons
275
ref
subst
trans
appThm
306
ref
237
ref
32
ref
238
ref
418
remove
appThm
419
ref
appThm
nil
212
ref
406
remove
nil
cons
cons
nil
cons
nil
cons
cons
275
ref
subst
trans
absThm
appThm
296
ref
trans
appThm
237
ref
32
ref
238
ref
313
ref
419
remove
appThm
appThm
nil
378
ref
nil
cons
nil
cons
cons
423
def
417
remove
subst
396
remove
trans
405
remove
trans
appThm
407
remove
trans
absThm
appThm
296
ref
trans
appThm
289
ref
149
ref
120
ref
43
ref
141
ref
appTerm
424
def
152
ref
appTerm
appTerm
152
ref
appTerm
absTerm
425
def
152
ref
appTerm
426
def
betaConv
nil
280
ref
425
ref
appTerm
427
def
axiom
nil
117
ref
427
remove
nil
cons
cons
119
ref
426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
425
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
428
def
subst
429
def
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
162
ref
17
ref
32
ref
31
ref
37
ref
appTerm
430
def
37
ref
appTerm
absTerm
appTerm
nil
cons
cons
164
ref
43
ref
341
remove
332
remove
84
ref
appTerm
431
def
appTerm
432
def
appTerm
43
ref
17
ref
32
ref
31
ref
343
remove
appTerm
333
ref
appTerm
absTerm
appTerm
433
def
appTerm
17
ref
336
ref
appTerm
434
def
appTerm
435
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
166
ref
170
remove
182
ref
appTerm
betaConv
182
remove
167
ref
appTerm
betaConv
172
ref
appThm
181
remove
169
ref
appTerm
betaConv
trans
trans
appThm
183
remove
appThm
177
remove
184
remove
appThm
eqMp
sym
155
ref
eqMp
436
def
subst
proveHyp
437
def
nil
162
ref
432
remove
nil
cons
cons
164
ref
435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
438
def
436
ref
subst
proveHyp
nil
162
ref
433
remove
nil
cons
cons
164
ref
434
remove
nil
cons
439
def
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
proveHyp
nil
117
ref
439
remove
cons
119
ref
337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
336
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
334
ref
refl
437
remove
438
remove
178
ref
subst
proveHyp
440
def
appThm
trans
sym
appThm
nil
32
ref
431
ref
nil
cons
441
def
cons
442
def
"s"
324
ref
var
327
ref
nil
cons
443
def
cons
nil
cons
cons
nil
cons
cons
282
ref
96
ref
cons
444
def
nil
117
ref
323
ref
2
ref
49
ref
29
ref
cons
opType
445
def
constTerm
446
def
63
ref
appTerm
447
def
37
ref
appTerm
448
def
nil
cons
449
def
cons
119
ref
"Data.Bool.?"
const
450
def
11
ref
constTerm
451
def
"a"
9
ref
var
452
def
450
ref
58
ref
constTerm
453
def
"t"
49
ref
var
454
def
43
ref
446
ref
454
ref
varTerm
455
def
appTerm
456
def
36
ref
appTerm
457
def
appTerm
458
def
43
ref
19
ref
78
ref
452
ref
varTerm
459
def
appTerm
460
def
455
ref
appTerm
461
def
appTerm
462
def
appTerm
463
def
20
ref
2
ref
49
ref
77
ref
cons
opType
464
def
constTerm
465
def
63
ref
appTerm
466
def
70
ref
459
ref
appTerm
467
def
455
ref
appTerm
468
def
appTerm
469
def
appTerm
470
def
appTerm
471
def
absTerm
472
def
appTerm
absTerm
473
def
appTerm
474
def
nil
cons
475
def
cons
nil
cons
476
def
cons
nil
cons
cons
235
ref
120
ref
121
ref
appTerm
477
def
123
ref
appTerm
478
def
assume
479
def
appThm
131
ref
appThm
sym
nil
117
ref
158
ref
cons
480
def
119
ref
158
ref
cons
nil
cons
481
def
cons
nil
cons
cons
482
def
136
ref
subst
482
remove
195
ref
subst
160
remove
eqMp
nil
162
ref
158
ref
cons
165
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
483
def
eqMp
484
def
nil
117
ref
124
ref
nil
cons
485
def
cons
486
def
119
ref
7
ref
123
ref
appTerm
487
def
121
ref
appTerm
nil
cons
488
def
cons
nil
cons
489
def
cons
nil
cons
cons
195
ref
subst
proveHyp
487
ref
refl
479
remove
appThm
sym
483
remove
eqMp
490
def
eqMp
nil
480
ref
119
ref
150
ref
cons
nil
cons
491
def
cons
nil
cons
cons
187
ref
subst
nil
162
ref
485
ref
cons
492
def
164
ref
488
remove
cons
nil
cons
493
def
cons
nil
cons
cons
494
def
436
ref
subst
eqMp
187
ref
494
remove
178
ref
subst
eqMp
deductAntisym
deductAntisym
495
def
subst
235
ref
166
ref
423
remove
32
ref
120
ref
447
ref
36
ref
appTerm
496
def
appTerm
497
def
43
ref
64
ref
appTerm
498
def
31
ref
227
ref
appTerm
499
def
36
ref
appTerm
500
def
appTerm
501
def
appTerm
502
def
absTerm
503
def
36
ref
appTerm
504
def
betaConv
60
ref
17
ref
503
ref
appTerm
505
def
absTerm
506
def
63
ref
appTerm
507
def
betaConv
nil
59
ref
506
ref
appTerm
508
def
axiom
509
def
nil
117
ref
508
remove
nil
cons
cons
119
ref
507
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
67
ref
cons
510
def
nil
cons
511
def
"P"
57
ref
var
512
def
506
remove
nil
cons
cons
"x"
49
ref
var
513
def
63
ref
nil
cons
514
def
cons
nil
cons
515
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
505
remove
nil
cons
cons
119
ref
504
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
503
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
516
def
subst
517
def
appThm
43
ref
19
ref
466
ref
56
ref
appTerm
518
def
appTerm
519
def
appTerm
520
def
refl
236
ref
452
ref
7
ref
460
ref
63
ref
appTerm
521
def
appTerm
522
def
refl
523
def
nil
60
ref
"Set.delete"
const
2
ref
49
ref
2
ref
9
ref
67
ref
cons
opType
nil
cons
cons
opType
constTerm
524
def
63
ref
appTerm
525
def
459
ref
appTerm
526
def
nil
cons
cons
nil
cons
nil
cons
cons
516
ref
subst
appThm
absThm
appThm
appThm
appThm
sym
nil
117
ref
519
ref
nil
cons
527
def
cons
528
def
119
ref
120
ref
498
ref
499
ref
37
ref
appTerm
529
def
appTerm
530
def
appTerm
531
def
520
ref
12
ref
452
ref
522
ref
43
ref
62
ref
526
ref
appTerm
appTerm
31
ref
221
ref
526
ref
appTerm
appTerm
532
def
36
ref
appTerm
533
def
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
534
def
cons
nil
cons
535
def
cons
nil
cons
cons
536
def
136
ref
subst
536
remove
195
ref
subst
531
remove
refl
306
ref
19
ref
refl
537
def
nil
528
ref
119
ref
120
ref
518
ref
appTerm
538
def
"Data.Bool.F"
const
3
ref
constTerm
539
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
518
ref
nil
cons
540
def
cons
541
def
nil
cons
nil
cons
cons
nil
117
ref
19
ref
167
ref
appTerm
542
def
nil
cons
543
def
cons
119
ref
120
ref
167
ref
appTerm
539
ref
appTerm
nil
cons
544
def
cons
nil
cons
cons
nil
cons
cons
545
def
136
ref
subst
545
remove
195
ref
subst
nil
117
ref
167
ref
nil
cons
546
def
cons
547
def
119
ref
539
ref
nil
cons
548
def
cons
nil
cons
549
def
cons
nil
cons
cons
495
ref
subst
120
ref
542
ref
appTerm
refl
117
ref
122
ref
539
ref
appTerm
absTerm
550
def
167
ref
appTerm
betaConv
appThm
nil
145
ref
19
ref
appTerm
550
remove
appTerm
axiom
176
ref
appThm
eqMp
551
def
542
remove
assume
eqMp
nil
117
ref
7
ref
167
ref
appTerm
552
def
539
ref
appTerm
nil
cons
cons
119
ref
7
ref
539
ref
appTerm
553
def
167
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
548
ref
cons
554
def
119
ref
546
ref
cons
nil
cons
cons
nil
cons
cons
555
def
136
ref
subst
555
remove
195
ref
subst
117
ref
121
ref
absTerm
556
def
167
ref
appTerm
557
def
betaConv
nil
120
ref
539
ref
appTerm
558
def
280
ref
556
ref
appTerm
559
def
appTerm
axiom
539
ref
assume
eqMp
nil
117
ref
559
remove
nil
cons
cons
119
ref
557
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
556
remove
nil
cons
cons
284
ref
546
ref
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
560
def
eqMp
nil
162
ref
548
ref
cons
561
def
164
ref
546
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
543
remove
cons
164
ref
544
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
562
def
subst
eqMp
563
def
appThm
nil
120
ref
19
ref
539
ref
appTerm
564
def
appTerm
141
ref
appTerm
565
def
axiom
566
def
trans
567
def
appThm
236
ref
452
ref
523
ref
306
ref
nil
13
ref
459
ref
nil
cons
568
def
cons
nil
cons
569
def
nil
cons
cons
570
def
13
ref
120
ref
62
ref
525
ref
23
ref
appTerm
571
def
appTerm
572
def
appTerm
64
ref
appTerm
absTerm
573
def
23
ref
appTerm
574
def
betaConv
60
ref
12
ref
573
ref
appTerm
575
def
absTerm
576
def
63
ref
appTerm
577
def
betaConv
nil
59
ref
576
ref
appTerm
578
def
axiom
nil
117
ref
578
remove
nil
cons
cons
119
ref
577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
576
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
575
remove
nil
cons
cons
119
ref
574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
573
remove
nil
cons
cons
13
ref
23
ref
nil
cons
579
def
cons
nil
cons
580
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
581
def
subst
appThm
533
ref
refl
582
def
appThm
appThm
absThm
appThm
appThm
nil
149
ref
12
ref
452
ref
522
ref
498
ref
533
ref
appTerm
appTerm
absTerm
583
def
appTerm
584
def
nil
cons
585
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
appThm
sym
nil
117
ref
530
ref
nil
cons
586
def
cons
119
ref
585
ref
cons
nil
cons
cons
nil
cons
cons
587
def
495
ref
subst
587
ref
136
ref
subst
587
remove
195
ref
subst
nil
162
ref
64
ref
nil
cons
588
def
cons
589
def
164
ref
529
ref
nil
cons
590
def
cons
nil
cons
cons
nil
cons
cons
591
def
178
ref
subst
592
def
591
remove
436
ref
subst
593
def
236
ref
452
ref
523
remove
306
ref
nil
149
ref
588
ref
cons
nil
cons
nil
cons
cons
594
def
156
ref
subst
595
def
64
ref
assume
596
def
eqMp
597
def
appThm
598
def
582
ref
appThm
nil
149
ref
533
ref
nil
cons
599
def
cons
nil
cons
nil
cons
cons
600
def
428
ref
subst
trans
appThm
absThm
appThm
sym
nil
188
ref
452
ref
522
ref
533
remove
appTerm
601
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
601
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
521
ref
nil
cons
602
def
cons
603
def
119
ref
599
ref
cons
nil
cons
604
def
cons
nil
cons
cons
605
def
136
ref
subst
605
remove
195
ref
subst
60
ref
65
ref
532
ref
75
ref
521
ref
appTerm
"Number.Natural.-"
const
74
ref
constTerm
606
def
227
ref
appTerm
607
def
431
ref
appTerm
608
def
appTerm
227
ref
appTerm
appTerm
appTerm
609
def
absTerm
610
def
63
ref
appTerm
611
def
betaConv
13
ref
59
ref
60
ref
65
ref
31
ref
221
ref
571
ref
appTerm
612
def
appTerm
613
def
81
remove
608
ref
appTerm
227
ref
appTerm
614
def
appTerm
615
def
appTerm
616
def
absTerm
617
def
appTerm
618
def
absTerm
619
def
459
ref
appTerm
620
def
betaConv
nil
188
ref
619
ref
nil
cons
cons
621
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
618
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
617
remove
nil
cons
cons
nil
cons
nil
cons
cons
511
ref
96
ref
cons
622
def
370
ref
subst
623
def
subst
60
ref
nil
149
ref
616
remove
nil
cons
624
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
588
ref
cons
625
def
119
ref
615
remove
nil
cons
626
def
cons
nil
cons
cons
nil
cons
cons
627
def
136
ref
subst
627
remove
195
ref
subst
166
ref
"_11548"
0
ref
var
628
def
613
ref
628
remove
varTerm
appTerm
absTerm
629
def
614
remove
appTerm
betaConv
appThm
306
ref
7
ref
80
ref
appTerm
630
def
refl
631
def
629
ref
608
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
80
ref
appTerm
632
def
appTerm
633
def
refl
634
def
629
ref
227
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
0
ref
var
635
def
227
ref
nil
cons
636
def
cons
"_482"
0
ref
var
637
def
608
ref
nil
cons
638
def
cons
"_483"
3
ref
var
639
def
80
ref
nil
cons
640
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
15
ref
var
641
def
629
remove
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
nil
13
ref
"_482"
9
ref
var
642
def
varTerm
nil
cons
cons
"c"
3
ref
var
643
def
639
ref
varTerm
nil
cons
cons
197
ref
"_484"
10
ref
var
644
def
varTerm
nil
cons
cons
14
ref
"_485"
9
ref
var
645
def
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
14
ref
120
ref
199
ref
73
ref
2
ref
3
ref
2
ref
9
ref
2
ref
9
ref
48
ref
cons
opType
646
def
nil
cons
647
def
cons
opType
nil
cons
cons
opType
constTerm
648
def
643
ref
varTerm
649
def
appTerm
23
ref
appTerm
25
ref
appTerm
appTerm
appTerm
43
ref
7
ref
649
ref
appTerm
650
def
199
ref
23
ref
appTerm
651
def
appTerm
appTerm
7
ref
19
ref
649
ref
appTerm
appTerm
199
ref
25
ref
appTerm
652
def
appTerm
appTerm
appTerm
absTerm
653
def
25
ref
appTerm
654
def
betaConv
13
ref
12
ref
653
ref
appTerm
655
def
absTerm
656
def
23
ref
appTerm
657
def
betaConv
643
ref
12
ref
656
ref
appTerm
658
def
absTerm
659
def
649
ref
appTerm
660
def
betaConv
197
ref
280
ref
659
ref
appTerm
661
def
absTerm
662
def
199
ref
appTerm
663
def
betaConv
nil
8
ref
203
ref
constTerm
664
def
662
ref
appTerm
665
def
axiom
nil
117
ref
665
remove
nil
cons
cons
119
ref
663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
21
ref
cons
666
def
nil
cons
667
def
"P"
11
ref
var
668
def
662
remove
nil
cons
cons
"x"
10
ref
var
669
def
199
ref
nil
cons
670
def
cons
nil
cons
671
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
661
remove
nil
cons
cons
119
ref
660
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
659
remove
nil
cons
cons
284
ref
649
ref
nil
cons
672
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
658
remove
nil
cons
cons
119
ref
657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
656
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
655
remove
nil
cons
cons
119
ref
654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
653
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
673
def
subst
674
def
subst
subst
eqMp
sym
nil
117
ref
640
ref
cons
675
def
119
ref
613
ref
608
ref
appTerm
676
def
nil
cons
677
def
cons
nil
cons
678
def
cons
nil
cons
cons
679
def
136
ref
subst
679
remove
195
ref
subst
60
ref
630
ref
465
ref
71
ref
571
ref
appTerm
680
def
appTerm
63
ref
appTerm
681
def
appTerm
682
def
absTerm
683
def
63
ref
appTerm
684
def
betaConv
13
ref
59
ref
683
ref
appTerm
685
def
absTerm
686
def
23
ref
appTerm
687
def
betaConv
nil
12
ref
686
ref
appTerm
688
def
axiom
nil
117
ref
688
remove
nil
cons
cons
119
ref
687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
686
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
685
remove
nil
cons
cons
119
ref
684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
683
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
689
def
nil
117
ref
682
ref
nil
cons
cons
690
def
678
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
nil
149
ref
640
ref
cons
nil
cons
nil
cons
cons
691
def
156
ref
subst
692
def
80
ref
assume
693
def
eqMp
694
def
appThm
695
def
681
ref
refl
appThm
nil
149
ref
681
ref
nil
cons
696
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
697
def
appThm
676
ref
refl
appThm
sym
nil
117
ref
696
ref
cons
698
def
678
remove
cons
nil
cons
cons
699
def
136
ref
subst
699
remove
195
ref
subst
613
ref
refl
700
def
606
ref
refl
701
def
221
ref
refl
702
def
681
ref
assume
sym
appThm
703
def
appThm
431
ref
refl
704
def
appThm
appThm
sym
231
ref
571
ref
appTerm
705
def
betaConv
233
ref
23
ref
appTerm
706
def
betaConv
319
remove
321
remove
436
ref
subst
proveHyp
707
def
nil
117
ref
320
remove
cons
119
ref
706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
233
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
708
def
nil
117
ref
232
remove
nil
cons
cons
709
def
119
ref
705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
231
ref
nil
cons
cons
710
def
513
ref
571
ref
nil
cons
cons
nil
cons
711
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
712
def
nil
117
ref
7
ref
572
remove
appTerm
713
def
31
ref
221
ref
680
ref
appTerm
714
def
appTerm
715
def
75
ref
79
ref
571
ref
appTerm
appTerm
612
ref
appTerm
35
ref
612
ref
appTerm
716
def
appTerm
appTerm
appTerm
nil
cons
cons
717
def
119
ref
613
ref
606
ref
714
ref
appTerm
431
ref
appTerm
appTerm
718
def
nil
cons
719
def
cons
nil
cons
720
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
581
ref
597
ref
trans
appThm
721
def
715
ref
refl
75
ref
refl
722
def
nil
14
ref
579
ref
cons
723
def
nil
cons
724
def
nil
cons
cons
725
def
14
ref
120
ref
79
ref
525
remove
25
ref
appTerm
726
def
appTerm
727
def
appTerm
728
def
43
ref
80
ref
appTerm
729
def
27
ref
appTerm
730
def
appTerm
absTerm
731
def
25
ref
appTerm
732
def
betaConv
13
ref
12
ref
731
ref
appTerm
733
def
absTerm
734
def
23
ref
appTerm
735
def
betaConv
60
ref
12
ref
734
ref
appTerm
736
def
absTerm
737
def
63
ref
appTerm
738
def
betaConv
nil
59
ref
737
ref
appTerm
739
def
axiom
nil
117
ref
739
remove
nil
cons
cons
119
ref
738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
737
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
736
remove
nil
cons
cons
119
ref
735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
734
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
733
remove
nil
cons
cons
119
ref
732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
731
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
740
def
subst
306
ref
694
ref
appThm
741
def
537
ref
274
ref
appThm
nil
120
ref
19
ref
141
ref
appTerm
742
def
appTerm
539
ref
appTerm
743
def
axiom
744
def
trans
appThm
nil
149
ref
548
ref
cons
nil
cons
nil
cons
cons
745
def
428
ref
subst
746
def
trans
trans
747
def
appThm
612
ref
refl
appThm
716
ref
refl
appThm
nil
"t2"
0
ref
var
748
def
716
ref
nil
cons
cons
"t1"
0
ref
var
749
def
612
ref
nil
cons
750
def
cons
nil
cons
cons
nil
cons
cons
272
ref
"t2"
9
ref
var
751
def
22
ref
648
ref
539
ref
appTerm
752
def
"t1"
9
ref
var
753
def
varTerm
754
def
appTerm
751
ref
varTerm
755
def
appTerm
appTerm
755
ref
appTerm
absTerm
756
def
755
ref
appTerm
757
def
betaConv
753
ref
12
ref
756
ref
appTerm
758
def
absTerm
759
def
754
ref
appTerm
760
def
betaConv
nil
12
ref
759
ref
appTerm
761
def
axiom
nil
117
ref
761
remove
nil
cons
cons
119
ref
760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
759
remove
nil
cons
cons
13
ref
754
ref
nil
cons
cons
nil
cons
762
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
758
remove
nil
cons
cons
119
ref
757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
756
remove
nil
cons
cons
13
ref
755
ref
nil
cons
cons
nil
cons
763
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
764
def
subst
765
def
subst
trans
appThm
appThm
nil
149
ref
715
ref
716
ref
appTerm
766
def
nil
cons
767
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
768
def
718
remove
refl
appThm
sym
nil
117
ref
767
ref
cons
769
def
720
remove
cons
nil
cons
cons
770
def
136
ref
subst
770
remove
195
ref
subst
120
ref
"_11554"
0
ref
var
771
def
613
ref
606
ref
771
remove
varTerm
appTerm
431
ref
appTerm
appTerm
absTerm
772
def
714
ref
appTerm
773
def
appTerm
refl
772
ref
716
ref
appTerm
betaConv
appThm
166
ref
773
remove
betaConv
appThm
613
ref
606
ref
716
ref
appTerm
431
ref
appTerm
appTerm
refl
appThm
trans
772
remove
refl
766
remove
assume
774
def
appThm
eqMp
sym
700
ref
701
ref
nil
379
ref
750
ref
cons
nil
cons
775
def
nil
cons
cons
776
def
379
ref
31
ref
383
ref
appTerm
777
def
384
ref
431
ref
appTerm
appTerm
absTerm
778
def
382
ref
appTerm
779
def
betaConv
nil
17
ref
778
ref
appTerm
780
def
axiom
nil
117
ref
780
remove
nil
cons
cons
119
ref
779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
778
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
781
def
subst
appThm
704
ref
appThm
nil
442
ref
775
remove
cons
nil
cons
cons
32
ref
31
ref
606
ref
385
ref
appTerm
36
ref
appTerm
appTerm
382
ref
appTerm
absTerm
782
def
36
ref
appTerm
783
def
betaConv
379
ref
17
ref
782
ref
appTerm
784
def
absTerm
785
def
382
ref
appTerm
786
def
betaConv
nil
17
ref
785
ref
appTerm
787
def
axiom
nil
117
ref
787
remove
nil
cons
cons
119
ref
786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
785
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
784
remove
nil
cons
cons
119
ref
783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
782
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
788
def
subst
trans
appThm
nil
212
ref
750
remove
cons
nil
cons
nil
cons
cons
275
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
767
remove
cons
789
def
164
ref
719
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
696
ref
cons
790
def
164
ref
677
ref
cons
nil
cons
791
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
640
ref
cons
792
def
791
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
630
ref
676
ref
appTerm
nil
cons
cons
119
ref
633
ref
613
ref
227
ref
appTerm
793
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
632
ref
nil
cons
794
def
cons
795
def
119
ref
793
remove
nil
cons
796
def
cons
nil
cons
cons
nil
cons
cons
797
def
136
ref
subst
797
remove
195
ref
subst
702
ref
60
ref
120
ref
465
ref
571
ref
appTerm
63
ref
appTerm
appTerm
632
ref
appTerm
absTerm
798
def
63
ref
appTerm
799
def
betaConv
13
ref
59
ref
798
ref
appTerm
800
def
absTerm
801
def
23
ref
appTerm
802
def
betaConv
nil
12
ref
801
ref
appTerm
803
def
axiom
nil
117
ref
803
remove
nil
cons
cons
119
ref
802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
801
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
800
remove
nil
cons
cons
119
ref
799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
798
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
537
ref
nil
795
ref
119
ref
120
ref
80
ref
appTerm
804
def
539
ref
appTerm
805
def
nil
cons
806
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
792
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
807
def
appThm
566
ref
trans
trans
sym
155
ref
eqMp
appThm
eqMp
nil
162
ref
794
ref
cons
808
def
164
ref
796
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
589
ref
164
ref
626
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
809
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
810
def
nil
117
ref
12
ref
619
remove
appTerm
811
def
nil
cons
cons
119
ref
620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
621
remove
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
59
ref
610
ref
appTerm
nil
cons
cons
119
ref
611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
610
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
609
remove
nil
cons
cons
604
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
597
ref
appThm
812
def
532
remove
refl
722
ref
nil
149
ref
602
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
521
ref
assume
eqMp
813
def
appThm
701
ref
529
ref
assume
814
def
appThm
704
ref
appThm
32
ref
31
ref
606
ref
37
ref
appTerm
431
ref
appTerm
appTerm
36
ref
appTerm
absTerm
815
def
36
ref
appTerm
816
def
betaConv
nil
17
ref
815
ref
appTerm
817
def
axiom
nil
117
ref
817
remove
nil
cons
cons
119
ref
816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
815
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
trans
818
def
appThm
814
ref
appThm
nil
748
ref
338
ref
cons
749
ref
347
ref
cons
nil
cons
cons
nil
cons
cons
819
def
272
ref
751
ref
22
ref
648
ref
141
ref
appTerm
820
def
754
ref
appTerm
755
ref
appTerm
appTerm
754
ref
appTerm
absTerm
821
def
755
remove
appTerm
822
def
betaConv
753
ref
12
ref
821
ref
appTerm
823
def
absTerm
824
def
754
remove
appTerm
825
def
betaConv
nil
12
ref
824
ref
appTerm
826
def
axiom
nil
117
ref
826
remove
nil
cons
cons
119
ref
825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
824
remove
nil
cons
cons
762
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
823
remove
nil
cons
cons
119
ref
822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
821
remove
nil
cons
cons
763
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
827
def
subst
828
def
subst
trans
appThm
appThm
600
ref
305
ref
subst
trans
appThm
582
remove
appThm
600
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
602
ref
cons
829
def
164
ref
599
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
586
ref
cons
164
ref
585
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
530
ref
appTerm
584
ref
appTerm
nil
cons
cons
119
ref
7
ref
584
remove
appTerm
530
ref
appTerm
830
def
nil
cons
831
def
cons
nil
cons
832
def
cons
nil
cons
cons
195
ref
subst
proveHyp
60
ref
120
ref
451
ref
13
ref
80
ref
absTerm
833
def
appTerm
834
def
appTerm
835
def
519
ref
appTerm
836
def
absTerm
837
def
63
ref
appTerm
838
def
betaConv
nil
59
ref
837
ref
appTerm
839
def
axiom
840
def
nil
117
ref
839
remove
nil
cons
cons
119
ref
838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
837
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
841
def
nil
117
ref
836
ref
nil
cons
cons
832
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
835
remove
refl
567
remove
appThm
nil
149
ref
834
ref
nil
cons
842
def
cons
nil
cons
nil
cons
cons
149
ref
120
ref
154
ref
appTerm
152
ref
appTerm
absTerm
843
def
152
ref
appTerm
844
def
betaConv
nil
280
ref
843
ref
appTerm
845
def
axiom
nil
117
ref
845
remove
nil
cons
cons
119
ref
844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
843
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
846
def
subst
trans
appThm
830
ref
refl
appThm
sym
nil
188
ref
13
ref
7
ref
833
ref
23
ref
appTerm
847
def
appTerm
848
def
830
ref
appTerm
849
def
absTerm
850
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
849
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
847
ref
nil
cons
851
def
cons
852
def
832
ref
cons
nil
cons
cons
853
def
136
ref
subst
853
remove
195
ref
subst
847
ref
betaConv
854
def
847
remove
assume
eqMp
855
def
nil
675
ref
832
remove
cons
nil
cons
cons
856
def
187
ref
subst
proveHyp
856
ref
136
ref
subst
856
remove
195
ref
subst
nil
117
ref
585
ref
cons
857
def
119
ref
586
ref
cons
nil
cons
858
def
cons
nil
cons
cons
859
def
136
ref
subst
859
remove
195
ref
subst
583
ref
23
ref
appTerm
860
def
betaConv
nil
857
remove
119
ref
860
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
583
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
630
ref
498
ref
613
remove
36
ref
appTerm
861
def
appTerm
862
def
appTerm
nil
cons
cons
858
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
695
ref
862
ref
refl
appThm
nil
149
ref
862
remove
nil
cons
863
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
530
ref
refl
appThm
sym
nil
117
ref
863
ref
cons
858
remove
cons
nil
cons
cons
864
def
136
ref
subst
864
remove
195
ref
subst
nil
589
ref
164
ref
861
ref
nil
cons
865
def
cons
nil
cons
cons
nil
cons
cons
866
def
178
ref
subst
866
remove
436
ref
subst
598
ref
529
ref
refl
appThm
nil
149
ref
590
ref
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
120
ref
"_11586"
0
ref
var
867
def
499
ref
35
ref
867
remove
varTerm
appTerm
appTerm
absTerm
868
def
36
ref
appTerm
869
def
appTerm
refl
868
ref
612
ref
appTerm
betaConv
870
def
appThm
166
ref
869
remove
betaConv
871
def
appThm
499
ref
716
ref
appTerm
872
def
refl
873
def
appThm
trans
868
remove
refl
874
def
861
ref
assume
875
def
sym
appThm
eqMp
sym
809
ref
nil
117
ref
624
remove
cons
119
ref
872
remove
nil
cons
876
def
cons
nil
cons
877
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
812
ref
700
remove
722
ref
694
ref
appThm
608
ref
refl
appThm
227
ref
refl
878
def
appThm
nil
748
ref
636
ref
cons
749
ref
638
ref
cons
nil
cons
cons
nil
cons
cons
828
ref
subst
trans
appThm
appThm
nil
149
ref
677
ref
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
873
remove
appThm
sym
nil
117
ref
677
ref
cons
877
remove
cons
nil
cons
cons
879
def
136
ref
subst
879
remove
195
ref
subst
120
ref
"_11594"
0
ref
var
880
def
499
ref
35
ref
880
remove
varTerm
appTerm
appTerm
absTerm
881
def
612
remove
appTerm
appTerm
refl
881
remove
608
ref
appTerm
betaConv
appThm
166
ref
870
remove
appThm
499
ref
35
ref
608
ref
appTerm
appTerm
882
def
refl
appThm
trans
874
remove
676
remove
assume
appThm
eqMp
sym
379
ref
"Data.Bool.\\/"
const
6
remove
constTerm
883
def
31
ref
382
ref
appTerm
884
def
84
ref
appTerm
885
def
appTerm
450
ref
16
ref
constTerm
886
def
32
ref
884
ref
37
ref
appTerm
absTerm
887
def
appTerm
888
def
appTerm
889
def
absTerm
890
def
227
ref
appTerm
891
def
betaConv
nil
17
ref
890
ref
appTerm
892
def
axiom
893
def
nil
117
ref
892
remove
nil
cons
cons
894
def
119
ref
891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
890
ref
nil
cons
cons
895
def
212
ref
636
ref
cons
nil
cons
896
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
883
ref
499
ref
84
ref
appTerm
897
def
appTerm
886
ref
32
ref
529
ref
absTerm
898
def
appTerm
899
def
appTerm
nil
cons
900
def
cons
119
ref
882
ref
nil
cons
901
def
cons
nil
cons
902
def
cons
nil
cons
cons
903
def
187
ref
subst
proveHyp
903
ref
136
ref
subst
903
remove
195
ref
subst
nil
211
ref
32
ref
7
ref
898
ref
36
ref
appTerm
904
def
appTerm
882
ref
appTerm
905
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
905
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
904
ref
nil
cons
906
def
cons
902
ref
cons
nil
cons
cons
907
def
136
ref
subst
907
remove
195
ref
subst
871
remove
904
remove
assume
eqMp
nil
117
ref
590
ref
cons
902
ref
cons
nil
cons
cons
908
def
187
ref
subst
proveHyp
908
ref
136
ref
subst
908
remove
195
ref
subst
238
ref
814
remove
appThm
909
def
313
ref
818
remove
appThm
appThm
339
ref
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
590
remove
cons
164
ref
901
ref
cons
nil
cons
910
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
906
remove
cons
910
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
898
ref
212
ref
varTerm
911
def
appTerm
appTerm
882
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
899
ref
appTerm
882
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
898
remove
nil
cons
cons
910
ref
cons
nil
cons
cons
nil
117
ref
12
ref
13
ref
7
ref
192
ref
appTerm
912
def
169
ref
appTerm
913
def
absTerm
914
def
appTerm
915
def
nil
cons
916
def
cons
917
def
119
ref
7
ref
451
ref
189
ref
appTerm
918
def
appTerm
919
def
169
ref
appTerm
nil
cons
920
def
cons
nil
cons
cons
nil
cons
cons
921
def
136
ref
subst
921
remove
195
ref
subst
nil
117
ref
918
ref
nil
cons
922
def
cons
923
def
119
ref
169
ref
nil
cons
924
def
cons
nil
cons
925
def
cons
nil
cons
cons
926
def
136
ref
subst
926
remove
195
ref
subst
nil
917
ref
925
ref
cons
nil
cons
cons
927
def
187
ref
subst
119
ref
7
ref
12
ref
13
ref
912
remove
123
ref
appTerm
absTerm
appTerm
appTerm
123
ref
appTerm
absTerm
928
def
169
ref
appTerm
929
def
betaConv
nil
923
remove
119
ref
280
ref
928
ref
appTerm
930
def
nil
cons
931
def
cons
nil
cons
cons
nil
cons
cons
932
def
187
ref
subst
120
ref
918
remove
appTerm
933
def
refl
197
ref
280
ref
119
ref
7
ref
12
ref
13
ref
7
ref
651
ref
appTerm
934
def
123
ref
appTerm
absTerm
appTerm
935
def
appTerm
123
ref
appTerm
absTerm
appTerm
absTerm
936
def
189
ref
appTerm
betaConv
appThm
nil
204
ref
451
ref
appTerm
936
remove
appTerm
axiom
205
remove
appThm
eqMp
937
def
nil
117
ref
933
remove
930
ref
appTerm
nil
cons
cons
119
ref
919
remove
930
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
932
remove
nil
117
ref
478
ref
nil
cons
938
def
cons
939
def
119
ref
485
ref
cons
nil
cons
940
def
cons
nil
cons
cons
941
def
136
ref
subst
941
remove
195
ref
subst
484
remove
eqMp
nil
162
ref
938
remove
cons
942
def
164
ref
485
remove
cons
nil
cons
943
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
944
def
subst
eqMp
eqMp
nil
117
ref
931
remove
cons
119
ref
929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
928
remove
nil
cons
cons
284
ref
924
ref
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
922
remove
cons
164
ref
924
ref
cons
nil
cons
945
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
916
ref
cons
946
def
164
ref
920
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
947
def
subst
eqMp
nil
117
ref
897
ref
nil
cons
948
def
cons
902
ref
cons
nil
cons
cons
949
def
136
ref
subst
949
remove
195
ref
subst
60
ref
65
ref
120
ref
897
ref
appTerm
518
ref
appTerm
950
def
appTerm
951
def
absTerm
952
def
63
ref
appTerm
953
def
betaConv
306
ref
166
ref
238
ref
322
ref
appThm
954
def
309
ref
appThm
363
ref
trans
appThm
nil
513
ref
56
ref
nil
cons
955
def
cons
nil
cons
956
def
nil
cons
cons
622
ref
274
ref
subst
957
def
subst
958
def
appThm
289
ref
149
ref
120
ref
120
ref
141
ref
appTerm
959
def
152
ref
appTerm
appTerm
152
ref
appTerm
absTerm
960
def
152
ref
appTerm
961
def
betaConv
nil
280
ref
960
ref
appTerm
962
def
axiom
nil
117
ref
962
remove
nil
cons
cons
119
ref
961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
960
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
963
def
subst
964
def
trans
appThm
236
ref
13
ref
298
ref
60
ref
7
ref
43
ref
950
ref
appTerm
43
ref
632
ref
appTerm
64
ref
appTerm
965
def
appTerm
966
def
appTerm
967
def
refl
120
ref
226
ref
84
ref
appTerm
968
def
appTerm
969
def
refl
60
ref
19
ref
465
ref
72
ref
appTerm
56
ref
appTerm
970
def
appTerm
971
def
absTerm
972
def
63
ref
appTerm
973
def
betaConv
13
ref
59
ref
972
ref
appTerm
974
def
absTerm
975
def
23
ref
appTerm
976
def
betaConv
nil
12
ref
975
ref
appTerm
977
def
axiom
nil
117
ref
977
remove
nil
cons
cons
119
ref
976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
975
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
974
remove
nil
cons
cons
119
ref
973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
972
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
971
remove
nil
cons
cons
119
ref
120
ref
970
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
970
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
nil
149
ref
968
ref
nil
cons
978
def
cons
nil
cons
nil
cons
cons
149
ref
120
ref
153
ref
539
ref
appTerm
979
def
appTerm
19
ref
152
ref
appTerm
980
def
appTerm
absTerm
981
def
152
ref
appTerm
982
def
betaConv
nil
280
ref
981
ref
appTerm
983
def
axiom
nil
117
ref
983
remove
nil
cons
cons
119
ref
982
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
981
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
984
def
subst
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
149
ref
12
ref
13
ref
59
ref
60
ref
967
ref
19
ref
968
ref
appTerm
985
def
appTerm
986
def
absTerm
987
def
appTerm
988
def
absTerm
989
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
188
ref
989
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
988
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
987
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
986
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
966
remove
nil
cons
990
def
cons
119
ref
985
remove
nil
cons
991
def
cons
nil
cons
cons
nil
cons
cons
992
def
136
ref
subst
992
remove
195
ref
subst
nil
162
ref
950
ref
nil
cons
993
def
cons
994
def
164
ref
965
ref
nil
cons
cons
nil
cons
995
def
cons
nil
cons
cons
436
ref
subst
nil
808
remove
164
ref
588
ref
cons
nil
cons
996
def
cons
nil
cons
cons
997
def
178
ref
subst
998
def
997
remove
436
ref
subst
999
def
nil
162
ref
978
ref
cons
1000
def
nil
cons
nil
cons
cons
551
remove
sym
1001
def
subst
nil
117
ref
978
remove
cons
549
ref
cons
nil
cons
cons
1002
def
136
ref
subst
1002
remove
195
ref
subst
231
ref
63
ref
appTerm
1003
def
betaConv
708
ref
nil
709
ref
119
ref
1003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
710
ref
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1004
def
nil
117
ref
230
remove
nil
cons
1005
def
cons
1006
def
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
149
ref
1005
remove
cons
nil
cons
nil
cons
cons
149
ref
120
ref
277
remove
539
ref
appTerm
appTerm
980
ref
appTerm
absTerm
1007
def
152
ref
appTerm
1008
def
betaConv
nil
280
ref
1007
ref
appTerm
1009
def
axiom
nil
117
ref
1009
remove
nil
cons
cons
119
ref
1008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1007
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1010
def
subst
537
ref
812
ref
238
ref
968
remove
assume
appThm
722
ref
807
ref
appThm
878
ref
appThm
228
ref
refl
1011
def
appThm
nil
748
ref
228
ref
nil
cons
1012
def
cons
749
ref
636
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
1013
def
trans
1014
def
appThm
nil
32
ref
636
ref
cons
1015
def
nil
cons
nil
cons
cons
1016
def
537
ref
31
ref
84
ref
appTerm
1017
def
37
ref
appTerm
1018
def
assume
sym
430
ref
84
ref
appTerm
1019
def
assume
sym
deductAntisym
appThm
32
ref
19
ref
1019
ref
appTerm
1020
def
absTerm
1021
def
36
ref
appTerm
1022
def
betaConv
nil
17
ref
1021
ref
appTerm
1023
def
axiom
nil
117
ref
1023
remove
nil
cons
cons
119
ref
1022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
1021
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1024
def
eqMp
nil
117
ref
19
ref
1018
ref
appTerm
nil
cons
cons
119
ref
120
ref
1018
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
1018
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
1025
def
subst
trans
appThm
745
ref
305
ref
subst
1026
def
trans
appThm
566
ref
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1000
remove
164
ref
548
ref
cons
nil
cons
1027
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
990
remove
cons
164
ref
991
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
120
ref
224
remove
appTerm
465
ref
56
ref
appTerm
56
ref
appTerm
1028
def
appTerm
appTerm
12
ref
13
ref
59
ref
60
ref
967
remove
969
remove
970
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
119
ref
59
ref
952
ref
appTerm
1029
def
nil
cons
1030
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
950
ref
absTerm
1031
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
1031
ref
63
ref
appTerm
betaConv
1032
def
appThm
965
ref
refl
1033
def
appThm
appThm
1031
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
1032
remove
appThm
absThm
appThm
appThm
nil
"p"
57
ref
var
1034
def
1031
remove
nil
cons
cons
nil
cons
nil
cons
cons
1034
ref
7
ref
43
ref
1034
ref
varTerm
1035
def
56
ref
appTerm
1036
def
appTerm
1037
def
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
1035
ref
63
ref
appTerm
1038
def
appTerm
965
ref
appTerm
appTerm
1035
ref
72
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
59
ref
60
ref
65
ref
1038
ref
appTerm
1039
def
absTerm
1040
def
appTerm
1041
def
appTerm
absTerm
1042
def
1035
ref
appTerm
1043
def
betaConv
nil
8
ref
2
ref
58
ref
4
ref
cons
opType
1044
def
constTerm
1045
def
1042
ref
appTerm
1046
def
axiom
nil
117
ref
1046
remove
nil
cons
cons
119
ref
1043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
77
remove
cons
nil
cons
1047
def
"P"
58
ref
var
1048
def
1042
remove
nil
cons
cons
"x"
57
ref
var
1049
def
1035
ref
nil
cons
cons
nil
cons
1050
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1051
def
subst
eqMp
eqMp
1052
def
nil
117
ref
1030
remove
cons
119
ref
953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
952
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1053
def
nil
117
ref
951
ref
nil
cons
cons
1054
def
902
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
812
ref
166
ref
238
ref
897
ref
assume
1055
def
appThm
1056
def
309
ref
appThm
363
ref
trans
appThm
1057
def
563
remove
appThm
745
ref
963
ref
subst
1058
def
trans
appThm
1026
ref
trans
appThm
1056
remove
313
ref
701
ref
1055
remove
appThm
704
ref
appThm
appThm
appThm
appThm
nil
149
ref
1017
ref
35
ref
606
ref
84
ref
appTerm
431
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
149
ref
120
ref
553
ref
152
ref
appTerm
appTerm
141
ref
appTerm
absTerm
1059
def
152
ref
appTerm
1060
def
betaConv
nil
280
ref
1059
ref
appTerm
1061
def
axiom
nil
117
ref
1061
remove
nil
cons
cons
119
ref
1060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1059
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1062
def
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
948
ref
cons
1063
def
910
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1063
remove
164
ref
899
remove
nil
cons
cons
"R"
3
ref
var
1064
def
901
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
117
ref
7
ref
169
ref
appTerm
1065
def
1064
ref
varTerm
1066
def
appTerm
1067
def
nil
cons
cons
119
ref
1066
ref
nil
cons
1068
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
117
ref
552
ref
1066
ref
appTerm
nil
cons
cons
119
ref
7
ref
1067
remove
appTerm
1066
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
"r"
3
ref
var
1069
def
7
ref
552
ref
1069
ref
varTerm
1070
def
appTerm
appTerm
1071
def
7
ref
1065
ref
1070
ref
appTerm
appTerm
1070
ref
appTerm
appTerm
absTerm
1072
def
1066
remove
appTerm
1073
def
betaConv
120
ref
883
ref
167
ref
appTerm
1074
def
169
ref
appTerm
1075
def
appTerm
refl
119
ref
280
ref
1069
ref
1071
remove
7
ref
487
ref
1070
ref
appTerm
1076
def
appTerm
1070
ref
appTerm
1077
def
appTerm
absTerm
appTerm
absTerm
169
ref
appTerm
betaConv
appThm
145
remove
1074
remove
appTerm
refl
117
ref
119
ref
280
ref
1069
ref
7
ref
122
ref
1070
ref
appTerm
appTerm
1077
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1078
def
167
remove
appTerm
betaConv
appThm
nil
133
remove
883
ref
appTerm
1078
remove
appTerm
axiom
176
ref
appThm
eqMp
172
remove
appThm
eqMp
1079
def
1075
remove
assume
eqMp
nil
117
ref
280
ref
1072
ref
appTerm
nil
cons
cons
119
ref
1073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1072
remove
nil
cons
cons
284
ref
1068
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
1080
def
subst
proveHyp
proveHyp
eqMp
nil
162
ref
900
remove
cons
910
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
677
remove
cons
164
ref
876
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
863
remove
cons
164
ref
586
remove
cons
nil
cons
1081
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
585
remove
cons
1081
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
792
ref
164
ref
831
remove
cons
nil
cons
1082
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
851
remove
cons
1083
def
1082
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
850
remove
appTerm
nil
cons
cons
119
ref
7
ref
834
ref
appTerm
1084
def
830
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
833
ref
nil
cons
cons
1085
def
1082
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
527
ref
cons
1086
def
164
ref
534
ref
cons
nil
cons
1087
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
540
ref
cons
1088
def
535
remove
cons
nil
cons
cons
1089
def
136
ref
subst
1089
remove
195
ref
subst
166
ref
306
ref
62
ref
refl
1090
def
518
ref
assume
1091
def
appThm
nil
149
ref
62
ref
56
ref
appTerm
1092
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
1092
ref
axiom
eqMp
1093
def
trans
appThm
1094
def
238
ref
702
ref
1091
ref
appThm
322
ref
trans
appThm
1095
def
37
ref
refl
1096
def
appThm
1025
remove
trans
1097
def
appThm
746
ref
trans
appThm
306
ref
537
ref
465
ref
refl
1098
def
1091
ref
appThm
308
ref
appThm
958
ref
trans
appThm
744
ref
trans
appThm
236
ref
452
ref
235
ref
460
ref
refl
1099
def
1091
ref
appThm
appThm
306
ref
1090
ref
524
ref
refl
1091
ref
appThm
459
ref
refl
appThm
1100
def
appThm
appThm
238
ref
702
ref
1100
remove
appThm
appThm
36
ref
refl
1101
def
appThm
appThm
appThm
absThm
appThm
appThm
nil
149
ref
12
ref
452
ref
7
ref
460
ref
56
ref
appTerm
appTerm
43
ref
62
ref
524
remove
56
ref
appTerm
459
ref
appTerm
1102
def
appTerm
appTerm
31
ref
221
ref
1102
remove
appTerm
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
149
ref
120
ref
43
ref
539
ref
appTerm
1103
def
152
ref
appTerm
appTerm
539
ref
appTerm
absTerm
1104
def
152
ref
appTerm
1105
def
betaConv
nil
280
ref
1104
ref
appTerm
1106
def
axiom
nil
117
ref
1106
remove
nil
cons
cons
119
ref
1105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1104
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1107
def
subst
trans
appThm
745
ref
149
ref
120
ref
558
ref
152
ref
appTerm
appTerm
980
ref
appTerm
absTerm
1108
def
152
ref
appTerm
1109
def
betaConv
nil
280
ref
1108
ref
appTerm
1110
def
axiom
nil
117
ref
1110
remove
nil
cons
cons
119
ref
1109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1108
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1111
def
subst
566
ref
trans
1112
def
trans
sym
155
ref
eqMp
eqMp
nil
541
ref
1087
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
149
ref
883
ref
152
ref
appTerm
1113
def
980
ref
appTerm
absTerm
1114
def
518
ref
appTerm
1115
def
betaConv
nil
280
ref
1114
ref
appTerm
1116
def
axiom
1117
def
nil
117
ref
1116
remove
nil
cons
cons
1118
def
119
ref
1115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1114
ref
nil
cons
cons
1119
def
284
ref
540
ref
cons
nil
cons
1120
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1121
def
nil
541
ref
164
ref
527
ref
cons
1122
def
1064
ref
534
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
1123
def
306
ref
60
ref
120
ref
519
ref
appTerm
834
ref
appTerm
1124
def
absTerm
1125
def
63
ref
appTerm
1126
def
betaConv
298
ref
60
ref
1124
remove
assume
sym
836
remove
assume
sym
deductAntisym
absThm
appThm
840
remove
eqMp
nil
117
ref
59
ref
1125
ref
appTerm
nil
cons
cons
119
ref
1126
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1125
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1127
def
appThm
12
ref
452
ref
522
remove
446
ref
526
remove
appTerm
36
ref
appTerm
appTerm
absTerm
1128
def
appTerm
1129
def
refl
appThm
trans
appThm
1130
def
474
ref
refl
1131
def
appThm
sym
nil
117
ref
43
ref
834
remove
appTerm
1129
ref
appTerm
nil
cons
1132
def
cons
1133
def
476
ref
cons
nil
cons
cons
1134
def
136
ref
subst
1134
remove
195
ref
subst
nil
162
ref
842
ref
cons
164
ref
1129
ref
nil
cons
1135
def
cons
nil
cons
cons
nil
cons
cons
1136
def
178
ref
subst
1137
def
1136
remove
436
ref
subst
1138
def
nil
117
ref
842
remove
cons
1139
def
476
ref
cons
nil
cons
cons
187
ref
subst
nil
188
ref
13
ref
848
ref
474
ref
appTerm
1140
def
absTerm
1141
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
1140
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
852
ref
476
ref
cons
nil
cons
cons
1142
def
136
ref
subst
1142
remove
195
ref
subst
855
ref
nil
675
ref
476
remove
cons
nil
cons
cons
1143
def
187
ref
subst
proveHyp
1143
ref
136
ref
subst
1143
remove
195
ref
subst
473
ref
23
ref
appTerm
betaConv
sym
454
ref
458
ref
43
ref
19
ref
79
ref
455
ref
appTerm
1144
def
appTerm
1145
def
appTerm
1146
def
466
ref
71
ref
455
ref
appTerm
1147
def
appTerm
1148
def
appTerm
appTerm
absTerm
1149
def
571
ref
appTerm
betaConv
sym
306
ref
nil
149
ref
446
ref
571
ref
appTerm
36
ref
appTerm
1150
def
nil
cons
1151
def
cons
nil
cons
nil
cons
cons
156
ref
subst
1152
def
nil
675
ref
119
ref
1151
ref
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1153
def
nil
452
ref
579
ref
cons
nil
cons
1154
def
nil
cons
cons
1155
def
1128
ref
459
ref
appTerm
1156
def
betaConv
nil
117
ref
1135
remove
cons
119
ref
1156
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
1128
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
1157
def
eqMp
eqMp
appThm
306
ref
537
ref
747
remove
appThm
566
ref
trans
appThm
466
ref
680
ref
appTerm
1158
def
refl
appThm
nil
149
ref
1158
remove
nil
cons
1159
def
cons
nil
cons
nil
cons
cons
428
ref
subst
1160
def
trans
appThm
1160
remove
trans
sym
697
remove
689
ref
eqMp
nil
698
ref
119
ref
1159
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
513
ref
680
remove
nil
cons
cons
"y"
49
ref
var
1161
def
514
ref
cons
nil
cons
cons
nil
cons
cons
622
ref
13
ref
7
ref
26
ref
appTerm
22
ref
25
ref
appTerm
1162
def
23
ref
appTerm
1163
def
appTerm
1164
def
absTerm
1165
def
23
ref
appTerm
1166
def
betaConv
14
ref
12
ref
1165
ref
appTerm
1167
def
absTerm
1168
def
25
ref
appTerm
1169
def
betaConv
nil
12
ref
13
ref
12
ref
14
ref
1164
ref
absTerm
1170
def
appTerm
1171
def
absTerm
1172
def
appTerm
1173
def
axiom
nil
117
ref
1173
remove
nil
cons
1174
def
cons
1175
def
119
ref
12
ref
1168
ref
appTerm
nil
cons
1176
def
cons
nil
cons
cons
nil
cons
cons
1177
def
187
ref
subst
proveHyp
1177
ref
136
ref
subst
1177
remove
195
ref
subst
nil
188
ref
1168
remove
nil
cons
cons
1178
def
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
1167
remove
nil
cons
1179
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
1165
remove
nil
cons
cons
1180
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
1164
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1170
ref
25
ref
appTerm
1181
def
betaConv
1172
ref
23
ref
appTerm
1182
def
betaConv
nil
1175
remove
119
ref
1182
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
1172
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1171
remove
nil
cons
cons
119
ref
1181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
1170
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
1174
remove
cons
164
ref
1176
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
1176
remove
cons
119
ref
1169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
1178
remove
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1179
remove
cons
119
ref
1166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
1180
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1183
def
subst
subst
eqMp
eqMp
eqMp
511
ref
512
ref
1149
remove
nil
cons
cons
711
ref
cons
nil
cons
cons
937
remove
sym
nil
283
ref
164
ref
7
ref
915
ref
appTerm
1184
def
169
ref
appTerm
1185
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
444
ref
370
ref
subst
1186
def
subst
164
ref
nil
149
ref
1185
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
927
ref
136
ref
subst
927
remove
195
ref
subst
nil
117
ref
193
ref
cons
925
ref
cons
nil
cons
cons
1187
def
187
ref
subst
1188
def
914
ref
23
ref
appTerm
1189
def
betaConv
nil
917
ref
119
ref
1189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
914
remove
nil
cons
cons
1190
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1191
def
eqMp
eqMp
nil
946
ref
945
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1192
def
subst
proveHyp
eqMp
264
ref
188
ref
473
ref
nil
cons
1193
def
cons
1194
def
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
nil
792
ref
164
ref
475
ref
cons
nil
cons
1195
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1083
ref
1195
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
1141
remove
appTerm
nil
cons
cons
119
ref
1084
ref
474
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
1085
ref
1195
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
1132
remove
cons
1196
def
1195
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
7
ref
448
ref
appTerm
1197
def
474
ref
appTerm
nil
cons
cons
119
ref
7
ref
474
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
166
ref
235
ref
451
ref
refl
1198
def
452
ref
473
remove
459
ref
appTerm
betaConv
1199
def
absThm
appThm
1200
def
appThm
448
ref
refl
1201
def
appThm
appThm
236
ref
452
ref
235
ref
1199
ref
appThm
1201
ref
appThm
absThm
appThm
appThm
nil
197
ref
1193
remove
cons
1202
def
119
ref
449
remove
cons
1203
def
nil
cons
1204
def
cons
nil
cons
cons
119
ref
120
ref
7
ref
451
ref
13
ref
651
ref
absTerm
1205
def
appTerm
1206
def
appTerm
1207
def
123
ref
appTerm
appTerm
935
remove
appTerm
absTerm
1208
def
123
ref
appTerm
1209
def
betaConv
197
ref
280
ref
1208
ref
appTerm
1210
def
absTerm
1211
def
199
ref
appTerm
1212
def
betaConv
nil
664
ref
1211
ref
appTerm
1213
def
axiom
nil
117
ref
1213
remove
nil
cons
cons
119
ref
1212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1211
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1210
remove
nil
cons
cons
119
ref
1209
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1208
remove
nil
cons
cons
284
ref
158
ref
cons
nil
cons
1214
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1215
def
subst
eqMp
236
ref
452
ref
166
ref
235
ref
453
ref
refl
1216
def
454
ref
472
ref
455
ref
appTerm
betaConv
1217
def
absThm
appThm
1218
def
appThm
1201
ref
appThm
appThm
298
ref
454
ref
235
ref
1217
ref
appThm
1201
remove
appThm
absThm
appThm
appThm
nil
1034
ref
472
remove
nil
cons
1219
def
cons
1220
def
1204
remove
cons
nil
cons
cons
622
ref
1215
remove
subst
subst
eqMp
298
ref
454
ref
nil
117
ref
43
ref
43
ref
62
ref
455
ref
appTerm
1221
def
appTerm
1222
def
31
ref
221
ref
455
ref
appTerm
1223
def
appTerm
1224
def
36
ref
appTerm
1225
def
appTerm
1226
def
appTerm
1227
def
470
ref
appTerm
1228
def
nil
cons
1229
def
cons
119
ref
120
ref
448
ref
appTerm
1230
def
141
ref
appTerm
1231
def
nil
cons
1232
def
cons
nil
cons
cons
nil
cons
cons
1233
def
136
ref
subst
1233
remove
195
ref
subst
517
ref
306
ref
1090
ref
nil
162
ref
1226
ref
nil
cons
1234
def
cons
1235
def
164
ref
470
ref
nil
cons
1236
def
cons
nil
cons
cons
nil
cons
cons
1237
def
436
ref
subst
1238
def
nil
162
ref
462
remove
nil
cons
1239
def
cons
1240
def
164
ref
469
ref
nil
cons
1241
def
cons
nil
cons
cons
nil
cons
cons
1242
def
436
ref
subst
proveHyp
1243
def
appThm
nil
60
ref
455
ref
nil
cons
1244
def
cons
1245
def
569
ref
cons
nil
cons
cons
1246
def
13
ref
120
ref
62
ref
72
ref
appTerm
appTerm
64
ref
appTerm
absTerm
1247
def
23
ref
appTerm
1248
def
betaConv
60
ref
12
ref
1247
ref
appTerm
1249
def
absTerm
1250
def
63
ref
appTerm
1251
def
betaConv
nil
59
ref
1250
ref
appTerm
1252
def
axiom
nil
117
ref
1252
remove
nil
cons
cons
119
ref
1251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1250
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1249
remove
nil
cons
cons
119
ref
1248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
1247
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1253
def
subst
nil
149
ref
1221
ref
nil
cons
1254
def
cons
nil
cons
nil
cons
cons
1255
def
156
ref
subst
1256
def
1237
remove
178
ref
subst
1257
def
nil
162
ref
1254
ref
cons
1258
def
164
ref
1225
ref
nil
cons
1259
def
cons
nil
cons
1260
def
cons
nil
cons
cons
1261
def
178
ref
subst
1262
def
proveHyp
1263
def
eqMp
trans
trans
appThm
238
ref
702
ref
1243
remove
appThm
1263
remove
nil
117
ref
1254
ref
cons
1264
def
119
ref
31
ref
221
ref
468
ref
appTerm
appTerm
75
ref
461
ref
appTerm
1223
ref
appTerm
35
ref
1223
ref
appTerm
1265
def
appTerm
1266
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1246
remove
1004
ref
subst
eqMp
nil
117
ref
564
ref
nil
cons
1267
def
cons
1268
def
119
ref
31
ref
1265
ref
appTerm
1269
def
37
ref
appTerm
1270
def
nil
cons
1271
def
cons
nil
cons
cons
nil
cons
cons
1272
def
136
ref
subst
1272
remove
195
ref
subst
313
ref
1257
remove
1261
remove
436
ref
subst
1273
def
proveHyp
1274
def
appThm
eqMp
nil
162
ref
1267
remove
cons
1275
def
164
ref
1271
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
564
ref
appTerm
1276
def
1270
remove
appTerm
nil
cons
cons
119
ref
31
ref
1266
remove
appTerm
1277
def
75
ref
539
ref
appTerm
1278
def
36
ref
appTerm
1279
def
37
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"e'"
0
ref
var
1280
def
338
ref
cons
nil
cons
nil
cons
cons
nil
554
ref
119
ref
1259
remove
cons
nil
cons
cons
nil
cons
cons
1281
def
136
ref
subst
1281
remove
195
ref
subst
1274
remove
eqMp
nil
561
ref
1260
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
553
ref
1225
ref
appTerm
nil
cons
cons
119
ref
7
ref
1276
ref
1269
ref
1280
ref
varTerm
1282
def
appTerm
1283
def
appTerm
appTerm
1284
def
1277
ref
1279
remove
1282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"t'"
0
ref
var
1285
def
347
ref
cons
nil
cons
nil
cons
cons
1238
remove
1242
remove
178
ref
subst
proveHyp
nil
117
ref
1239
remove
cons
1286
def
119
ref
120
ref
461
ref
appTerm
1287
def
539
ref
appTerm
nil
cons
1288
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
461
ref
nil
cons
1289
def
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
nil
117
ref
1288
remove
cons
119
ref
7
ref
553
ref
1224
ref
1285
ref
varTerm
1290
def
appTerm
1291
def
appTerm
appTerm
1292
def
1284
ref
1277
ref
1278
ref
1290
ref
appTerm
1282
ref
appTerm
1293
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"g'"
3
ref
var
1294
def
548
ref
cons
nil
cons
nil
cons
cons
1295
def
1280
ref
7
ref
1287
remove
1294
ref
varTerm
1296
def
appTerm
appTerm
7
ref
7
ref
1296
ref
appTerm
1297
def
1291
remove
appTerm
appTerm
1298
def
7
ref
7
ref
19
ref
1296
ref
appTerm
appTerm
1299
def
1283
remove
appTerm
appTerm
1300
def
1277
remove
75
ref
1296
ref
appTerm
1290
ref
appTerm
1282
ref
appTerm
1301
def
appTerm
appTerm
appTerm
appTerm
absTerm
1302
def
1282
ref
appTerm
1303
def
betaConv
1285
ref
17
ref
1302
ref
appTerm
1304
def
absTerm
1305
def
1290
ref
appTerm
1306
def
betaConv
1294
ref
17
ref
1305
ref
appTerm
1307
def
absTerm
1308
def
1296
ref
appTerm
1309
def
betaConv
nil
"e"
0
ref
var
1310
def
1265
ref
nil
cons
1311
def
cons
1312
def
"t"
0
ref
var
1313
def
1223
ref
nil
cons
1314
def
cons
1315
def
"g"
3
ref
var
1316
def
1289
ref
cons
nil
cons
cons
cons
nil
cons
cons
272
ref
nil
283
ref
1294
ref
12
ref
"t'"
9
ref
var
1317
def
12
ref
"e'"
9
ref
var
1318
def
7
ref
120
ref
1316
ref
varTerm
1319
def
appTerm
1320
def
1296
ref
appTerm
appTerm
7
ref
1297
ref
22
ref
"t"
9
ref
var
varTerm
1321
def
appTerm
1322
def
1317
ref
varTerm
1323
def
appTerm
1324
def
appTerm
appTerm
1325
def
7
ref
1299
ref
22
ref
"e"
9
ref
var
varTerm
1326
def
appTerm
1327
def
1318
ref
varTerm
1328
def
appTerm
1329
def
appTerm
appTerm
1330
def
22
ref
648
ref
1319
ref
appTerm
1321
ref
appTerm
1326
ref
appTerm
appTerm
648
ref
1296
ref
appTerm
1323
ref
appTerm
1328
ref
appTerm
1331
def
appTerm
appTerm
appTerm
appTerm
1332
def
absTerm
1333
def
appTerm
1334
def
absTerm
1335
def
appTerm
1336
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1186
ref
subst
1294
ref
nil
149
ref
1336
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
1335
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
1317
remove
nil
149
ref
1334
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
1333
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
1318
remove
nil
149
ref
1332
remove
nil
cons
1337
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1320
ref
539
ref
appTerm
1338
def
nil
cons
1339
def
cons
119
ref
1337
ref
cons
nil
cons
1340
def
cons
nil
cons
cons
1341
def
136
ref
subst
1341
remove
195
ref
subst
120
ref
"_502"
3
ref
var
1342
def
7
ref
120
ref
1342
remove
varTerm
1343
def
appTerm
1296
ref
appTerm
appTerm
1325
ref
1330
ref
22
ref
648
ref
1343
remove
appTerm
1321
ref
appTerm
1326
ref
appTerm
appTerm
1331
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1344
def
1319
ref
appTerm
1345
def
appTerm
refl
1346
def
1344
ref
539
ref
appTerm
betaConv
appThm
166
ref
1345
remove
betaConv
appThm
1347
def
7
ref
558
ref
1296
ref
appTerm
appTerm
1325
ref
1330
ref
22
ref
752
ref
1321
ref
appTerm
1326
ref
appTerm
appTerm
1331
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1344
remove
refl
1348
def
1338
remove
assume
appThm
eqMp
sym
235
ref
nil
149
ref
1296
ref
nil
cons
1349
def
cons
nil
cons
nil
cons
cons
1350
def
1111
ref
subst
appThm
1325
ref
refl
1351
def
1330
ref
refl
1352
def
22
ref
refl
1353
def
nil
751
ref
1326
ref
nil
cons
cons
753
ref
1321
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1354
def
764
ref
subst
appThm
1331
ref
refl
1355
def
appThm
appThm
appThm
appThm
sym
nil
117
ref
120
ref
1296
ref
appTerm
1356
def
539
ref
appTerm
1357
def
nil
cons
1358
def
cons
1359
def
119
ref
1299
ref
1325
ref
1330
ref
1327
ref
1331
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
1360
def
cons
nil
cons
1361
def
cons
nil
cons
cons
1362
def
136
ref
subst
1362
remove
195
ref
subst
120
ref
"_510"
3
ref
var
1363
def
7
ref
19
ref
1363
remove
varTerm
1364
def
appTerm
appTerm
1365
def
7
ref
7
ref
1364
ref
appTerm
1324
ref
appTerm
appTerm
7
ref
1365
remove
1329
ref
appTerm
appTerm
1327
ref
648
ref
1364
remove
appTerm
1323
ref
appTerm
1328
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1366
def
1296
ref
appTerm
1367
def
appTerm
refl
1368
def
1366
ref
539
ref
appTerm
betaConv
appThm
166
ref
1367
remove
betaConv
appThm
1369
def
1276
ref
7
ref
553
ref
1324
ref
appTerm
appTerm
1370
def
7
ref
1276
ref
1329
ref
appTerm
appTerm
1371
def
1327
ref
752
remove
1323
ref
appTerm
1328
ref
appTerm
1372
def
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1366
remove
refl
1373
def
1357
remove
assume
1374
def
appThm
eqMp
sym
235
ref
566
ref
appThm
1375
def
235
ref
nil
149
ref
1324
ref
nil
cons
cons
nil
cons
nil
cons
cons
1376
def
1062
ref
subst
appThm
235
ref
1375
ref
1329
ref
refl
1377
def
appThm
nil
149
ref
1329
ref
nil
cons
cons
nil
cons
nil
cons
cons
1378
def
305
ref
subst
trans
appThm
1327
ref
refl
1379
def
nil
751
ref
1328
ref
nil
cons
cons
753
ref
1323
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1380
def
764
ref
subst
appThm
appThm
1378
ref
318
ref
subst
trans
appThm
289
ref
305
ref
subst
1381
def
trans
appThm
1381
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
1358
ref
cons
1382
def
164
ref
1360
ref
cons
nil
cons
1383
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1356
remove
141
ref
appTerm
1384
def
nil
cons
1385
def
cons
1386
def
1361
remove
cons
nil
cons
cons
1387
def
136
ref
subst
1387
remove
195
ref
subst
1368
remove
"_508"
3
ref
var
1388
def
7
ref
19
ref
1388
remove
varTerm
1389
def
appTerm
appTerm
1390
def
7
ref
7
ref
1389
ref
appTerm
1324
ref
appTerm
appTerm
7
ref
1390
remove
1329
ref
appTerm
appTerm
1327
ref
648
ref
1389
remove
appTerm
1323
ref
appTerm
1328
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
1369
remove
7
ref
742
ref
appTerm
1391
def
7
ref
301
ref
1324
ref
appTerm
appTerm
1392
def
7
ref
1391
ref
1329
ref
appTerm
appTerm
1393
def
1327
ref
820
ref
1323
ref
appTerm
1328
ref
appTerm
1394
def
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1373
remove
1384
remove
assume
1395
def
appThm
eqMp
sym
235
ref
744
ref
appThm
1396
def
235
ref
1376
ref
305
ref
subst
1397
def
appThm
1398
def
235
ref
1396
ref
1377
remove
appThm
1378
remove
1062
ref
subst
trans
appThm
1399
def
1379
remove
1380
remove
827
ref
subst
1400
def
appThm
appThm
nil
149
ref
1327
remove
1323
ref
appTerm
1401
def
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
appThm
nil
149
ref
7
ref
1324
ref
appTerm
1401
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
1385
remove
cons
1402
def
1383
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
149
ref
883
ref
154
remove
appTerm
979
remove
appTerm
absTerm
1403
def
1296
ref
appTerm
1404
def
betaConv
nil
280
ref
1403
ref
appTerm
1405
def
axiom
1406
def
nil
117
ref
1405
remove
nil
cons
cons
1407
def
119
ref
1404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1403
ref
nil
cons
cons
1408
def
284
ref
1349
remove
cons
nil
cons
1409
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1410
def
nil
1402
ref
164
ref
1358
remove
cons
1411
def
1064
ref
1360
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
1339
ref
cons
164
ref
1337
ref
cons
nil
cons
1412
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1320
remove
141
ref
appTerm
1413
def
nil
cons
1414
def
cons
1340
remove
cons
nil
cons
cons
1415
def
136
ref
subst
1415
remove
195
ref
subst
1346
remove
"_500"
3
ref
var
1416
def
7
ref
120
ref
1416
remove
varTerm
1417
def
appTerm
1296
ref
appTerm
appTerm
1325
ref
1330
ref
22
ref
648
ref
1417
remove
appTerm
1321
ref
appTerm
1326
ref
appTerm
appTerm
1331
ref
appTerm
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
1347
remove
7
ref
959
ref
1296
ref
appTerm
appTerm
1325
ref
1330
ref
22
ref
820
remove
1321
remove
appTerm
1326
remove
appTerm
appTerm
1331
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1348
remove
1413
remove
assume
appThm
eqMp
sym
235
ref
1350
remove
963
ref
subst
appThm
1351
remove
1352
remove
1353
ref
1354
remove
827
ref
subst
appThm
1355
remove
appThm
appThm
appThm
appThm
sym
nil
1359
remove
119
ref
1297
ref
1325
remove
1330
remove
1322
ref
1331
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
1418
def
cons
nil
cons
1419
def
cons
nil
cons
cons
1420
def
136
ref
subst
1420
remove
195
ref
subst
120
ref
"_506"
3
ref
var
1421
def
7
ref
1421
remove
varTerm
1422
def
appTerm
1423
def
7
ref
1423
remove
1324
ref
appTerm
appTerm
7
ref
7
ref
19
ref
1422
ref
appTerm
appTerm
1329
ref
appTerm
appTerm
1322
ref
648
ref
1422
remove
appTerm
1323
ref
appTerm
1328
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1424
def
1296
ref
appTerm
1425
def
appTerm
refl
1426
def
1424
ref
539
ref
appTerm
betaConv
appThm
166
ref
1425
remove
betaConv
appThm
1427
def
553
ref
1370
remove
1371
remove
1322
ref
1372
remove
appTerm
appTerm
appTerm
1428
def
appTerm
refl
appThm
trans
1424
remove
refl
1429
def
1374
remove
appThm
eqMp
sym
nil
149
ref
1428
remove
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
sym
155
ref
eqMp
eqMp
eqMp
nil
1382
remove
164
ref
1418
ref
cons
nil
cons
1430
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1386
remove
1419
remove
cons
nil
cons
cons
1431
def
136
ref
subst
1431
remove
195
ref
subst
1426
remove
"_504"
3
ref
var
1432
def
7
ref
1432
remove
varTerm
1433
def
appTerm
1434
def
7
ref
1434
remove
1324
remove
appTerm
appTerm
7
ref
7
ref
19
ref
1433
ref
appTerm
appTerm
1329
remove
appTerm
appTerm
1322
ref
648
ref
1433
remove
appTerm
1323
remove
appTerm
1328
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
1427
remove
301
ref
1392
remove
1393
remove
1322
ref
1394
remove
appTerm
appTerm
appTerm
1435
def
appTerm
refl
appThm
trans
1429
remove
1395
remove
appThm
eqMp
sym
nil
149
ref
1435
remove
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
1398
remove
1399
remove
1322
remove
refl
1400
remove
appThm
appThm
1397
remove
trans
appThm
1376
remove
318
ref
subst
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1402
ref
1430
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1410
remove
nil
1402
remove
1411
remove
1064
ref
1418
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
1414
remove
cons
1436
def
1412
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
1319
ref
appTerm
1437
def
betaConv
1406
ref
nil
1407
ref
119
ref
1437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
1319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
1436
remove
164
ref
1339
remove
cons
1064
ref
1337
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
1438
def
subst
nil
117
ref
280
ref
1308
ref
appTerm
nil
cons
cons
119
ref
1309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1308
remove
nil
cons
cons
1409
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1307
remove
nil
cons
cons
119
ref
1306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
1305
remove
nil
cons
cons
212
ref
1290
ref
nil
cons
cons
nil
cons
1439
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1304
remove
nil
cons
cons
119
ref
1303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
1302
remove
nil
cons
cons
212
ref
1282
ref
nil
cons
cons
nil
cons
1440
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
819
remove
765
ref
subst
trans
trans
trans
appThm
1096
ref
appThm
339
ref
trans
appThm
429
ref
trans
trans
eqMp
nil
162
ref
1229
ref
cons
164
ref
1232
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
1228
ref
appTerm
1441
def
1231
remove
appTerm
nil
cons
cons
119
ref
120
ref
7
ref
471
ref
appTerm
448
ref
appTerm
appTerm
1442
def
1441
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"q'"
3
ref
var
1443
def
288
ref
cons
nil
cons
nil
cons
cons
1444
def
306
ref
nil
1245
ref
nil
cons
1445
def
nil
cons
cons
1446
def
516
ref
subst
1447
def
appThm
1448
def
470
ref
refl
appThm
nil
117
ref
120
ref
471
ref
appTerm
1449
def
1228
remove
appTerm
nil
cons
cons
119
ref
7
ref
1441
ref
1230
ref
1443
ref
varTerm
1450
def
appTerm
1451
def
appTerm
appTerm
1442
ref
1441
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"p'"
3
ref
var
1452
def
1229
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
1449
remove
1452
ref
varTerm
1453
def
appTerm
appTerm
7
ref
7
ref
1453
ref
appTerm
1454
def
1451
remove
appTerm
appTerm
1442
remove
1454
ref
1450
ref
appTerm
1455
def
appTerm
appTerm
appTerm
absTerm
1456
def
1450
ref
appTerm
1457
def
betaConv
1452
ref
280
ref
1456
ref
appTerm
1458
def
absTerm
1459
def
1453
ref
appTerm
1460
def
betaConv
nil
1203
remove
117
ref
471
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
283
ref
1452
ref
280
ref
1443
ref
7
ref
477
ref
1453
ref
appTerm
1461
def
appTerm
7
ref
1454
ref
120
ref
123
ref
appTerm
1450
ref
appTerm
1462
def
appTerm
1463
def
appTerm
125
remove
1455
ref
appTerm
1464
def
appTerm
1465
def
appTerm
1466
def
absTerm
1467
def
appTerm
1468
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1186
ref
subst
1452
ref
nil
149
ref
1468
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
283
ref
1467
remove
nil
cons
cons
nil
cons
nil
cons
cons
1186
ref
subst
1443
ref
nil
149
ref
1466
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1461
remove
nil
cons
1469
def
cons
1470
def
119
ref
1465
remove
nil
cons
1471
def
cons
nil
cons
cons
nil
cons
cons
1472
def
136
ref
subst
1472
remove
195
ref
subst
nil
117
ref
1463
ref
nil
cons
1473
def
cons
119
ref
1464
remove
nil
cons
1474
def
cons
nil
cons
cons
nil
cons
cons
1475
def
136
ref
subst
1475
remove
195
ref
subst
nil
486
ref
119
ref
1455
ref
nil
cons
1476
def
cons
nil
cons
cons
nil
cons
cons
1477
def
495
ref
subst
1477
ref
136
ref
subst
1477
remove
195
ref
subst
nil
117
ref
1453
ref
nil
cons
1478
def
cons
1479
def
119
ref
1450
ref
nil
cons
1480
def
cons
nil
cons
1481
def
cons
nil
cons
cons
1482
def
136
ref
subst
1482
ref
195
ref
subst
nil
1470
ref
119
ref
122
ref
1453
ref
appTerm
1483
def
nil
cons
1484
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
117
ref
150
ref
cons
119
ref
1478
ref
cons
nil
cons
cons
nil
cons
cons
1485
def
944
ref
subst
eqMp
1486
def
nil
117
ref
1484
ref
cons
1487
def
1481
ref
cons
nil
cons
cons
1488
def
187
ref
subst
proveHyp
nil
1470
remove
119
ref
1454
ref
121
ref
appTerm
1489
def
nil
cons
1490
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1485
ref
nil
939
remove
489
remove
cons
nil
cons
cons
1491
def
136
ref
subst
1491
remove
195
ref
subst
490
remove
eqMp
nil
942
remove
493
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1492
def
subst
eqMp
1493
def
nil
117
ref
1490
ref
cons
1494
def
119
ref
7
ref
1483
ref
appTerm
1495
def
1450
ref
appTerm
nil
cons
1496
def
cons
nil
cons
cons
nil
cons
cons
1497
def
187
ref
subst
proveHyp
1497
ref
136
ref
subst
1497
remove
195
ref
subst
1488
ref
136
ref
subst
1488
remove
195
ref
subst
nil
1479
ref
491
remove
cons
nil
cons
cons
187
ref
subst
1489
remove
assume
eqMp
1498
def
1485
remove
187
ref
subst
1483
remove
assume
eqMp
1499
def
1498
remove
proveHyp
proveHyp
nil
1479
remove
119
ref
1462
remove
nil
cons
1500
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1463
remove
assume
eqMp
1501
def
nil
117
ref
1500
remove
cons
1502
def
119
ref
487
remove
1450
ref
appTerm
1503
def
nil
cons
1504
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
480
ref
1481
ref
cons
nil
cons
cons
1505
def
944
remove
subst
eqMp
1506
def
nil
117
ref
1504
ref
cons
1507
def
1481
remove
cons
nil
cons
cons
1508
def
187
ref
subst
proveHyp
1501
remove
nil
1502
remove
119
ref
7
ref
1450
ref
appTerm
123
ref
appTerm
1509
def
nil
cons
1510
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1505
ref
1492
remove
subst
eqMp
1511
def
nil
117
ref
1510
ref
cons
1512
def
119
ref
7
ref
1503
ref
appTerm
1513
def
1450
ref
appTerm
nil
cons
1514
def
cons
nil
cons
cons
nil
cons
cons
1515
def
187
ref
subst
proveHyp
1515
ref
136
ref
subst
1515
remove
195
ref
subst
1508
ref
136
ref
subst
1508
remove
195
ref
subst
186
remove
1505
remove
187
ref
subst
1503
remove
assume
eqMp
proveHyp
eqMp
nil
162
ref
1504
remove
cons
1516
def
164
ref
1480
ref
cons
nil
cons
1517
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
1510
remove
cons
1518
def
164
ref
1514
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
162
ref
1484
remove
cons
1519
def
1517
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
1490
remove
cons
1520
def
164
ref
1496
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
1478
ref
cons
1517
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
492
ref
164
ref
1476
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
124
ref
appTerm
1521
def
1455
ref
appTerm
nil
cons
cons
119
ref
7
ref
1455
ref
appTerm
124
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
1476
ref
cons
940
remove
cons
nil
cons
cons
1522
def
136
ref
subst
1522
remove
195
ref
subst
136
ref
195
ref
1486
remove
nil
1487
remove
481
ref
cons
nil
cons
cons
1523
def
187
ref
subst
proveHyp
1493
remove
nil
1494
remove
119
ref
1495
remove
123
ref
appTerm
nil
cons
1524
def
cons
nil
cons
cons
nil
cons
cons
1525
def
187
ref
subst
proveHyp
1525
ref
136
ref
subst
1525
remove
195
ref
subst
1523
ref
136
ref
subst
1523
remove
195
ref
subst
1499
remove
1506
remove
nil
1507
remove
481
ref
cons
nil
cons
cons
1526
def
187
ref
subst
proveHyp
1511
remove
nil
1512
remove
119
ref
1513
remove
123
ref
appTerm
nil
cons
1527
def
cons
nil
cons
cons
nil
cons
cons
1528
def
187
ref
subst
proveHyp
1528
ref
136
ref
subst
1528
remove
195
ref
subst
1526
ref
136
ref
subst
1526
remove
195
ref
subst
1482
remove
187
ref
subst
1455
ref
assume
eqMp
nil
117
ref
1480
ref
cons
481
remove
cons
nil
cons
cons
187
ref
subst
1509
remove
assume
eqMp
proveHyp
eqMp
nil
1516
remove
165
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
1518
remove
164
ref
1527
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
1519
remove
165
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
1520
remove
164
ref
1524
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
179
remove
deductAntisym
eqMp
eqMp
nil
162
ref
1476
remove
cons
943
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
1473
remove
cons
164
ref
1474
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
1469
remove
cons
164
ref
1471
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1529
def
subst
nil
117
ref
280
ref
1459
ref
appTerm
nil
cons
cons
119
ref
1460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1459
remove
nil
cons
cons
284
ref
1478
remove
cons
nil
cons
1530
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1458
remove
nil
cons
cons
119
ref
1457
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1456
remove
nil
cons
cons
284
ref
1480
remove
cons
nil
cons
1531
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
1229
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
289
ref
622
ref
294
ref
subst
subst
1532
def
trans
trans
absThm
appThm
297
ref
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
1533
def
subst
subst
trans
450
ref
144
remove
constTerm
1534
def
refl
1535
def
"a"
3
ref
var
1536
def
450
ref
2
ref
2
ref
324
ref
4
ref
cons
opType
1537
def
4
ref
cons
opType
constTerm
refl
1538
def
"t"
324
ref
var
1539
def
306
ref
325
remove
1539
ref
varTerm
1540
def
appTerm
1541
def
refl
421
ref
appThm
appThm
43
ref
19
ref
76
ref
2
ref
3
ref
1537
ref
nil
cons
1542
def
cons
opType
constTerm
1543
def
1536
ref
varTerm
1544
def
appTerm
1545
def
1540
ref
appTerm
appTerm
appTerm
20
ref
2
ref
324
ref
1542
remove
cons
opType
constTerm
1546
def
327
ref
appTerm
1547
def
66
ref
2
ref
3
ref
2
ref
324
ref
324
ref
nil
cons
1548
def
cons
opType
nil
cons
cons
opType
constTerm
1549
def
1544
ref
appTerm
1550
def
1540
ref
appTerm
appTerm
appTerm
1551
def
refl
appThm
absThm
appThm
166
ref
1538
ref
1539
ref
43
ref
1541
ref
340
ref
appTerm
appTerm
refl
1539
ref
1551
remove
absTerm
1552
def
1540
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
1535
ref
"a'"
3
ref
var
1553
def
1538
ref
1539
ref
43
ref
1541
remove
84
ref
appTerm
appTerm
refl
1554
def
43
ref
19
ref
1543
ref
1553
ref
varTerm
1555
def
appTerm
1540
ref
appTerm
appTerm
appTerm
1556
def
refl
1552
ref
1549
ref
1555
ref
appTerm
1557
def
1540
ref
appTerm
1558
def
appTerm
betaConv
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
"P"
1537
remove
var
1559
def
1552
remove
nil
cons
cons
330
ref
cons
nil
cons
cons
444
ref
306
ref
166
ref
1216
ref
60
ref
306
ref
166
ref
331
ref
516
ref
subst
appThm
518
ref
refl
1560
def
appThm
sym
nil
117
ref
498
ref
897
ref
appTerm
1561
def
nil
cons
1562
def
cons
119
ref
540
ref
cons
nil
cons
1563
def
cons
nil
cons
cons
1564
def
495
ref
subst
1564
ref
136
ref
subst
1564
remove
195
ref
subst
nil
589
ref
164
ref
948
ref
cons
nil
cons
cons
nil
cons
cons
1565
def
178
ref
subst
1565
remove
436
ref
subst
1053
ref
nil
1054
ref
1563
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
812
ref
1057
remove
1560
ref
appThm
nil
149
ref
540
ref
cons
nil
cons
nil
cons
cons
1566
def
963
ref
subst
trans
appThm
1566
ref
305
ref
subst
trans
appThm
1560
ref
appThm
1566
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
1562
ref
cons
164
ref
540
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
1561
ref
appTerm
518
ref
appTerm
nil
cons
cons
119
ref
7
ref
518
ref
appTerm
1567
def
1561
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
1088
ref
119
ref
1562
ref
cons
nil
cons
cons
nil
cons
cons
1568
def
136
ref
subst
1568
remove
195
ref
subst
1094
remove
1095
remove
309
ref
appThm
363
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
nil
541
ref
164
ref
1562
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
1569
def
appThm
1570
def
512
ref
varTerm
1571
def
63
ref
appTerm
1572
def
refl
1573
def
appThm
absThm
appThm
appThm
1571
ref
56
ref
appTerm
1574
def
refl
1575
def
appThm
appThm
166
ref
1216
ref
60
ref
306
ref
1533
ref
appThm
1573
ref
appThm
absThm
appThm
appThm
451
ref
452
ref
453
ref
60
ref
43
ref
496
ref
appTerm
1576
def
43
ref
19
ref
521
ref
appTerm
1577
def
appTerm
1571
ref
467
ref
63
ref
appTerm
1578
def
appTerm
1579
def
appTerm
1580
def
appTerm
1581
def
absTerm
1582
def
appTerm
absTerm
1583
def
appTerm
1584
def
refl
1585
def
appThm
appThm
sym
nil
117
ref
43
ref
120
ref
453
ref
60
ref
43
ref
518
ref
appTerm
1586
def
1572
ref
appTerm
1587
def
absTerm
1588
def
appTerm
1589
def
appTerm
1574
ref
appTerm
1590
def
appTerm
120
ref
453
ref
60
ref
43
ref
474
ref
appTerm
1572
ref
appTerm
absTerm
1591
def
appTerm
1592
def
appTerm
1584
ref
appTerm
1593
def
appTerm
1594
def
nil
cons
cons
nil
cons
nil
cons
cons
477
ref
refl
1595
def
nil
149
ref
19
ref
121
ref
appTerm
1596
def
nil
cons
1597
def
cons
nil
cons
nil
cons
cons
1010
ref
subst
appThm
sym
1595
remove
151
ref
149
ref
120
ref
19
ref
980
remove
appTerm
1598
def
appTerm
152
ref
appTerm
1599
def
absTerm
1600
def
152
ref
appTerm
1601
def
betaConv
nil
280
ref
1600
ref
appTerm
1602
def
axiom
1603
def
nil
117
ref
1602
remove
nil
cons
cons
1604
def
119
ref
1601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1600
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1605
def
subst
1606
def
appThm
nil
284
ref
150
ref
cons
nil
cons
1607
def
nil
cons
cons
444
ref
274
ref
subst
1608
def
subst
trans
sym
155
ref
eqMp
eqMp
1609
def
subst
sym
1610
def
32
ref
7
ref
19
ref
1594
remove
appTerm
appTerm
539
ref
appTerm
absTerm
1611
def
36
ref
appTerm
1612
def
betaConv
512
ref
17
ref
1611
ref
appTerm
1613
def
absTerm
1614
def
1571
ref
appTerm
1615
def
betaConv
1045
ref
refl
1616
def
512
ref
237
ref
32
ref
1610
remove
absThm
appThm
166
ref
237
ref
32
ref
306
ref
32
ref
1590
ref
absTerm
1617
def
36
ref
appTerm
betaConv
1618
def
appThm
32
ref
1593
remove
absTerm
1619
def
36
ref
appTerm
betaConv
1620
def
appThm
absThm
appThm
appThm
306
ref
237
ref
32
ref
1618
remove
absThm
appThm
appThm
237
ref
32
ref
1620
ref
absThm
appThm
appThm
appThm
nil
409
ref
1617
remove
nil
cons
cons
"q"
15
ref
var
1621
def
1619
ref
nil
cons
1622
def
cons
nil
cons
cons
nil
cons
cons
272
ref
"q"
10
ref
var
1623
def
120
ref
12
ref
13
ref
43
ref
651
ref
appTerm
1624
def
1623
ref
varTerm
1625
def
23
ref
appTerm
1626
def
appTerm
absTerm
appTerm
appTerm
43
ref
12
ref
1205
ref
appTerm
1627
def
appTerm
12
ref
13
ref
1626
ref
absTerm
1628
def
appTerm
1629
def
appTerm
appTerm
absTerm
1630
def
1625
ref
appTerm
1631
def
betaConv
197
ref
664
ref
1630
ref
appTerm
1632
def
absTerm
1633
def
199
ref
appTerm
1634
def
betaConv
nil
664
ref
1633
ref
appTerm
1635
def
axiom
nil
117
ref
1635
remove
nil
cons
cons
119
ref
1634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1633
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1632
remove
nil
cons
cons
119
ref
1631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1630
remove
nil
cons
cons
669
ref
1625
ref
nil
cons
1636
def
cons
nil
cons
1637
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1638
def
subst
subst
eqMp
306
ref
nil
149
ref
1590
ref
nil
cons
cons
nil
cons
nil
cons
cons
295
remove
subst
appThm
17
ref
1619
remove
appTerm
1639
def
refl
appThm
trans
trans
absThm
appThm
166
ref
1616
ref
512
ref
306
ref
512
ref
1590
remove
absTerm
1640
def
1571
ref
appTerm
betaConv
1641
def
appThm
512
ref
1639
remove
absTerm
1642
def
1571
ref
appTerm
betaConv
1643
def
appThm
absThm
appThm
appThm
306
ref
1616
ref
512
ref
1641
ref
absThm
appThm
appThm
1616
ref
512
ref
1643
ref
absThm
appThm
appThm
appThm
nil
"p"
58
ref
var
1644
def
1640
ref
nil
cons
1645
def
cons
"q"
58
remove
var
1646
def
1642
ref
nil
cons
1647
def
cons
nil
cons
cons
nil
cons
cons
1047
ref
96
ref
cons
1648
def
1638
remove
subst
subst
eqMp
trans
sym
nil
117
ref
43
ref
1045
ref
1640
remove
appTerm
1649
def
appTerm
1045
ref
1642
remove
appTerm
1650
def
appTerm
1651
def
nil
cons
cons
nil
cons
nil
cons
cons
1609
ref
subst
sym
nil
117
ref
19
ref
1651
remove
appTerm
1652
def
nil
cons
1653
def
cons
549
ref
cons
nil
cons
cons
1654
def
136
ref
subst
1654
remove
195
ref
subst
nil
117
ref
1649
remove
nil
cons
cons
119
ref
1650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
117
ref
477
ref
539
ref
appTerm
1655
def
nil
cons
1656
def
cons
1657
def
119
ref
120
ref
19
ref
127
ref
appTerm
appTerm
1658
def
883
ref
1596
ref
appTerm
19
ref
123
ref
appTerm
1659
def
appTerm
appTerm
nil
cons
1660
def
cons
nil
cons
1661
def
cons
nil
cons
cons
1662
def
136
ref
subst
1662
remove
195
ref
subst
120
ref
"_534"
3
ref
var
1663
def
120
ref
19
ref
43
ref
1663
remove
varTerm
1664
def
appTerm
123
ref
appTerm
appTerm
appTerm
883
ref
19
ref
1664
remove
appTerm
appTerm
1659
ref
appTerm
appTerm
absTerm
1665
def
121
ref
appTerm
1666
def
appTerm
refl
1667
def
1665
ref
539
ref
appTerm
betaConv
appThm
166
ref
1666
remove
betaConv
appThm
1668
def
120
ref
19
ref
1103
ref
123
ref
appTerm
appTerm
appTerm
1669
def
883
ref
564
ref
appTerm
1670
def
1659
ref
appTerm
appTerm
refl
appThm
trans
1665
remove
refl
1671
def
1655
remove
assume
1672
def
appThm
eqMp
sym
166
ref
537
ref
159
ref
1107
ref
subst
1673
def
appThm
566
ref
trans
appThm
1674
def
883
ref
refl
1675
def
566
ref
appThm
1676
def
1659
ref
refl
1677
def
appThm
nil
149
ref
1659
ref
nil
cons
1678
def
cons
nil
cons
nil
cons
cons
1679
def
149
ref
120
ref
883
ref
141
ref
appTerm
1680
def
152
ref
appTerm
appTerm
141
ref
appTerm
absTerm
1681
def
152
ref
appTerm
1682
def
betaConv
nil
280
ref
1681
ref
appTerm
1683
def
axiom
nil
117
ref
1683
remove
nil
cons
cons
119
ref
1682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1681
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1684
def
subst
trans
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
1656
ref
cons
1685
def
164
ref
1660
ref
cons
nil
cons
1686
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
477
remove
141
ref
appTerm
1687
def
nil
cons
1688
def
cons
1689
def
1661
remove
cons
nil
cons
cons
1690
def
136
ref
subst
1690
remove
195
ref
subst
1667
remove
"_532"
3
ref
var
1691
def
120
ref
19
ref
43
ref
1691
remove
varTerm
1692
def
appTerm
123
ref
appTerm
appTerm
appTerm
883
ref
19
ref
1692
remove
appTerm
appTerm
1659
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
1668
remove
120
ref
19
ref
424
ref
123
ref
appTerm
appTerm
appTerm
1693
def
883
ref
742
ref
appTerm
1694
def
1659
ref
appTerm
appTerm
refl
appThm
trans
1671
remove
1687
remove
assume
1695
def
appThm
eqMp
sym
166
ref
537
ref
159
ref
428
ref
subst
1696
def
appThm
appThm
1697
def
1675
ref
744
ref
appThm
1698
def
1677
ref
appThm
1679
ref
149
ref
120
ref
883
ref
539
ref
appTerm
1699
def
152
ref
appTerm
appTerm
152
ref
appTerm
absTerm
1700
def
152
ref
appTerm
1701
def
betaConv
nil
280
ref
1700
ref
appTerm
1702
def
axiom
nil
117
ref
1702
remove
nil
cons
cons
119
ref
1701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1700
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1703
def
subst
trans
appThm
nil
284
ref
1678
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
1704
def
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
1688
remove
cons
1705
def
1686
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
121
ref
appTerm
1706
def
betaConv
1406
ref
nil
1407
ref
119
ref
1706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
1607
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1707
def
nil
1705
ref
164
ref
1656
remove
cons
1708
def
1064
ref
1660
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
1709
def
subst
1675
ref
nil
1048
ref
1645
remove
cons
nil
cons
nil
cons
cons
1648
ref
166
ref
537
ref
236
ref
nil
"t"
10
ref
var
1710
def
189
remove
nil
cons
1711
def
cons
nil
cons
nil
cons
cons
94
ref
"B"
4
ref
cons
1712
def
nil
cons
cons
96
ref
cons
1713
def
"t"
245
ref
var
1714
def
20
ref
2
ref
245
ref
255
ref
nil
cons
cons
opType
constTerm
1715
def
1714
ref
varTerm
1716
def
appTerm
13
ref
1716
ref
23
ref
appTerm
absTerm
1717
def
appTerm
1718
def
absTerm
1719
def
1716
ref
appTerm
1720
def
betaConv
257
ref
refl
1721
def
1714
ref
1718
remove
assume
sym
1715
ref
1717
remove
appTerm
1716
ref
appTerm
1722
def
assume
sym
deductAntisym
absThm
appThm
nil
257
ref
1714
remove
1722
remove
absTerm
1723
def
appTerm
1724
def
axiom
1725
def
eqMp
nil
117
ref
257
ref
1719
ref
appTerm
nil
cons
cons
119
ref
1720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
1719
remove
nil
cons
cons
262
ref
1716
ref
nil
cons
cons
nil
cons
1726
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
1727
def
appThm
appThm
appThm
451
ref
13
ref
19
ref
192
ref
appTerm
absTerm
1728
def
appTerm
refl
appThm
sym
nil
197
ref
1711
ref
cons
nil
cons
nil
cons
cons
1729
def
197
ref
120
ref
19
ref
1627
ref
appTerm
appTerm
451
ref
13
ref
19
ref
651
ref
appTerm
1730
def
absTerm
1731
def
appTerm
appTerm
absTerm
1732
def
199
ref
appTerm
1733
def
betaConv
nil
664
ref
1732
ref
appTerm
1734
def
axiom
nil
117
ref
1734
remove
nil
cons
cons
119
ref
1733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1732
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1735
def
subst
eqMp
1736
def
subst
1737
def
subst
450
ref
1044
remove
constTerm
1738
def
refl
1739
def
512
ref
537
ref
1641
remove
appThm
nil
117
ref
1589
ref
nil
cons
cons
119
ref
1574
ref
nil
cons
1740
def
cons
nil
cons
1741
def
cons
nil
cons
cons
nil
1657
ref
119
ref
120
ref
19
ref
478
remove
appTerm
appTerm
883
ref
126
ref
1659
ref
appTerm
appTerm
43
ref
1596
ref
appTerm
1742
def
123
ref
appTerm
appTerm
appTerm
nil
cons
1743
def
cons
nil
cons
1744
def
cons
nil
cons
cons
1745
def
136
ref
subst
1745
remove
195
ref
subst
120
ref
"_554"
3
ref
var
1746
def
120
ref
19
ref
120
ref
1746
remove
varTerm
1747
def
appTerm
123
ref
appTerm
appTerm
appTerm
883
ref
43
ref
1747
ref
appTerm
1659
ref
appTerm
appTerm
43
ref
19
ref
1747
remove
appTerm
appTerm
123
ref
appTerm
appTerm
appTerm
absTerm
1748
def
121
ref
appTerm
1749
def
appTerm
refl
1750
def
1748
ref
539
ref
appTerm
betaConv
appThm
166
ref
1749
remove
betaConv
appThm
1751
def
120
ref
19
ref
558
ref
123
ref
appTerm
appTerm
appTerm
883
ref
1103
ref
1659
ref
appTerm
appTerm
43
ref
564
ref
appTerm
1752
def
123
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1748
remove
refl
1753
def
1672
ref
appThm
eqMp
sym
166
ref
537
ref
159
ref
1111
ref
subst
appThm
159
ref
1605
ref
subst
trans
appThm
1675
ref
1679
ref
1107
ref
subst
1754
def
appThm
306
ref
566
ref
appThm
1755
def
131
ref
appThm
1696
remove
trans
appThm
159
ref
1703
ref
subst
1756
def
trans
appThm
nil
1214
ref
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1685
ref
164
ref
1743
ref
cons
nil
cons
1757
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1689
ref
1744
remove
cons
nil
cons
cons
1758
def
136
ref
subst
1758
remove
195
ref
subst
1750
remove
"_552"
3
ref
var
1759
def
120
ref
19
ref
120
ref
1759
remove
varTerm
1760
def
appTerm
123
ref
appTerm
appTerm
appTerm
883
ref
43
ref
1760
ref
appTerm
1659
ref
appTerm
appTerm
43
ref
19
ref
1760
remove
appTerm
appTerm
123
ref
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
1751
remove
120
ref
19
ref
959
ref
123
ref
appTerm
appTerm
appTerm
883
ref
424
ref
1659
ref
appTerm
appTerm
43
ref
742
ref
appTerm
1761
def
123
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1753
remove
1695
ref
appThm
eqMp
sym
166
ref
537
ref
159
ref
963
ref
subst
appThm
appThm
1675
ref
1679
ref
428
ref
subst
1762
def
appThm
306
ref
744
ref
appThm
1763
def
131
remove
appThm
1673
remove
trans
appThm
1679
ref
149
ref
120
ref
1113
ref
539
ref
appTerm
appTerm
152
ref
appTerm
absTerm
1764
def
152
ref
appTerm
1765
def
betaConv
nil
280
ref
1764
ref
appTerm
1766
def
axiom
nil
117
ref
1766
remove
nil
cons
cons
119
ref
1765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1764
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1767
def
subst
trans
appThm
1704
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1705
ref
1757
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1707
ref
nil
1705
ref
1708
ref
1064
ref
1743
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
1768
def
subst
1675
ref
306
ref
1216
ref
60
ref
306
ref
1560
remove
appThm
1573
ref
appThm
absThm
appThm
appThm
19
ref
1574
ref
appTerm
1769
def
refl
1770
def
appThm
appThm
306
ref
nil
512
ref
1588
ref
nil
cons
1771
def
cons
nil
cons
nil
cons
cons
622
ref
166
ref
537
ref
1198
ref
1727
remove
appThm
appThm
appThm
12
ref
1728
remove
appTerm
refl
appThm
sym
1729
remove
197
ref
120
ref
19
ref
1206
ref
appTerm
appTerm
12
ref
1731
remove
appTerm
appTerm
absTerm
1772
def
199
ref
appTerm
1773
def
betaConv
nil
664
ref
1772
ref
appTerm
1774
def
axiom
nil
117
ref
1774
remove
nil
cons
cons
119
ref
1773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1772
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
1775
def
subst
1776
def
subst
298
ref
60
ref
537
ref
1588
remove
63
ref
appTerm
betaConv
1777
def
appThm
nil
1088
ref
119
ref
1572
ref
nil
cons
1778
def
cons
nil
cons
1779
def
cons
nil
cons
cons
1709
ref
subst
trans
absThm
appThm
trans
appThm
1575
ref
appThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
1048
ref
1647
remove
cons
nil
cons
nil
cons
cons
1737
remove
subst
1739
ref
512
ref
537
ref
1643
remove
appThm
nil
211
ref
1622
remove
cons
nil
cons
nil
cons
cons
272
ref
1736
remove
subst
subst
886
ref
refl
1780
def
32
ref
537
ref
1620
remove
appThm
nil
117
ref
1592
ref
nil
cons
cons
119
ref
1584
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1768
remove
subst
1675
ref
306
ref
1216
ref
60
ref
306
ref
1131
remove
appThm
1573
ref
appThm
absThm
appThm
appThm
nil
188
ref
1583
ref
nil
cons
1781
def
cons
nil
cons
nil
cons
cons
1775
ref
subst
236
ref
452
ref
537
ref
1583
remove
459
ref
appTerm
betaConv
1782
def
appThm
nil
512
ref
1582
ref
nil
cons
1783
def
cons
nil
cons
nil
cons
cons
1776
ref
subst
298
ref
60
ref
537
ref
1582
remove
63
ref
appTerm
betaConv
1784
def
appThm
nil
117
ref
496
ref
nil
cons
1785
def
cons
1786
def
119
ref
1580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1709
ref
subst
1675
ref
19
ref
496
ref
appTerm
1787
def
refl
appThm
nil
117
ref
1577
ref
nil
cons
1788
def
cons
1789
def
119
ref
1579
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1709
ref
subst
1675
ref
nil
603
remove
nil
cons
nil
cons
cons
1606
ref
subst
1790
def
appThm
19
ref
1579
remove
appTerm
1791
def
refl
appThm
trans
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
306
ref
nil
512
ref
1591
ref
nil
cons
cons
nil
cons
nil
cons
cons
1776
ref
subst
298
ref
60
ref
537
ref
1591
remove
63
ref
appTerm
betaConv
appThm
nil
117
ref
475
remove
cons
1779
ref
cons
nil
cons
cons
1709
ref
subst
1675
ref
nil
1194
remove
nil
cons
nil
cons
cons
1775
ref
subst
236
ref
452
ref
537
ref
1199
ref
appThm
nil
512
ref
1219
remove
cons
nil
cons
nil
cons
cons
1776
remove
subst
298
ref
454
ref
537
ref
1217
ref
appThm
nil
117
ref
457
ref
nil
cons
1792
def
cons
1793
def
119
ref
1236
remove
cons
nil
cons
cons
nil
cons
cons
1709
ref
subst
1675
ref
19
ref
457
ref
appTerm
1794
def
refl
appThm
nil
1286
remove
119
ref
1241
remove
cons
nil
cons
cons
nil
cons
cons
1709
remove
subst
1675
ref
nil
117
ref
1289
ref
cons
1795
def
nil
cons
nil
cons
cons
1796
def
1606
remove
subst
appThm
19
ref
469
remove
appTerm
1797
def
refl
appThm
trans
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
19
ref
1572
ref
appTerm
1798
def
refl
1799
def
appThm
trans
trans
absThm
appThm
trans
appThm
1585
remove
appThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
1675
ref
166
ref
1739
ref
512
ref
1675
ref
512
ref
43
ref
1589
remove
appTerm
1769
ref
appTerm
absTerm
1800
def
1571
ref
appTerm
betaConv
1801
def
appThm
512
ref
43
ref
59
ref
60
ref
883
ref
519
ref
appTerm
1798
ref
appTerm
absTerm
1802
def
appTerm
1803
def
appTerm
1574
ref
appTerm
1804
def
absTerm
1805
def
1571
ref
appTerm
betaConv
1806
def
appThm
absThm
appThm
appThm
1675
ref
1739
ref
512
ref
1801
remove
absThm
appThm
appThm
1739
ref
512
ref
1806
ref
absThm
appThm
1807
def
appThm
appThm
nil
1644
ref
1800
remove
nil
cons
cons
1646
ref
1805
ref
nil
cons
cons
nil
cons
1808
def
cons
nil
cons
cons
1648
ref
1623
ref
120
ref
451
ref
13
ref
883
ref
651
ref
appTerm
1809
def
1626
ref
appTerm
absTerm
appTerm
1810
def
appTerm
883
ref
1206
ref
appTerm
1811
def
451
ref
1628
remove
appTerm
1812
def
appTerm
1813
def
appTerm
absTerm
1814
def
1625
ref
appTerm
1815
def
betaConv
197
ref
664
ref
1814
ref
appTerm
1816
def
absTerm
1817
def
199
ref
appTerm
1818
def
betaConv
nil
664
ref
1817
ref
appTerm
1819
def
axiom
nil
117
ref
1819
remove
nil
cons
cons
119
ref
1818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1817
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1816
remove
nil
cons
cons
119
ref
1815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1814
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1820
def
subst
1821
def
subst
eqMp
appThm
1739
ref
512
ref
166
ref
1780
ref
32
ref
1675
ref
32
ref
43
ref
1592
remove
appTerm
12
ref
452
ref
59
ref
60
ref
883
ref
1787
remove
appTerm
1822
def
883
ref
521
ref
appTerm
1791
remove
appTerm
appTerm
absTerm
appTerm
absTerm
1823
def
appTerm
1824
def
appTerm
absTerm
1825
def
36
ref
appTerm
betaConv
1826
def
appThm
32
ref
43
ref
59
ref
60
ref
883
ref
12
ref
452
ref
59
ref
454
ref
883
ref
1794
remove
appTerm
1827
def
883
ref
461
ref
appTerm
1828
def
1797
remove
appTerm
appTerm
1829
def
absTerm
1830
def
appTerm
absTerm
1831
def
appTerm
appTerm
1798
ref
appTerm
absTerm
appTerm
1832
def
appTerm
1833
def
1584
ref
appTerm
absTerm
1834
def
36
ref
appTerm
betaConv
1835
def
appThm
absThm
appThm
appThm
1675
ref
1780
ref
32
ref
1826
remove
absThm
appThm
appThm
1780
ref
32
ref
1835
remove
absThm
appThm
appThm
appThm
nil
409
ref
1825
ref
nil
cons
cons
1621
ref
1834
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
272
ref
1820
remove
subst
subst
eqMp
absThm
appThm
166
ref
1739
ref
512
ref
1675
ref
512
ref
886
ref
1825
remove
appTerm
absTerm
1836
def
1571
ref
appTerm
betaConv
1837
def
appThm
512
ref
886
ref
1834
remove
appTerm
absTerm
1838
def
1571
ref
appTerm
betaConv
1839
def
appThm
absThm
appThm
appThm
1675
ref
1739
ref
512
ref
1837
remove
absThm
appThm
appThm
1739
ref
512
ref
1839
remove
absThm
appThm
appThm
appThm
nil
1644
ref
1836
remove
nil
cons
cons
1646
ref
1838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1821
remove
subst
eqMp
trans
appThm
1675
ref
1675
ref
1739
ref
512
ref
166
ref
306
ref
1216
ref
60
ref
1777
ref
absThm
appThm
appThm
1770
ref
appThm
appThm
1216
ref
60
ref
306
ref
1777
remove
appThm
1770
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1771
remove
cons
119
ref
1769
ref
nil
cons
1840
def
cons
nil
cons
cons
nil
cons
cons
622
ref
119
ref
120
ref
43
ref
1206
ref
appTerm
1841
def
123
ref
appTerm
appTerm
451
ref
13
ref
1624
ref
123
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1842
def
123
ref
appTerm
1843
def
betaConv
197
ref
280
ref
1842
ref
appTerm
1844
def
absTerm
1845
def
199
ref
appTerm
1846
def
betaConv
nil
664
ref
1845
ref
appTerm
1847
def
axiom
nil
117
ref
1847
remove
nil
cons
cons
119
ref
1846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1845
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1844
remove
nil
cons
cons
119
ref
1843
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1842
remove
nil
cons
cons
1214
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1848
def
subst
1849
def
subst
eqMp
absThm
appThm
appThm
1738
ref
1805
remove
appTerm
refl
appThm
166
ref
1675
ref
1739
ref
512
ref
512
ref
453
ref
60
ref
43
ref
1587
ref
appTerm
1769
remove
appTerm
1850
def
absTerm
1851
def
appTerm
absTerm
1852
def
1571
ref
appTerm
betaConv
1853
def
absThm
appThm
appThm
1807
remove
appThm
appThm
1739
ref
512
ref
1675
ref
1853
remove
appThm
1806
remove
appThm
absThm
appThm
appThm
nil
1644
ref
1852
remove
nil
cons
cons
1808
remove
cons
nil
cons
cons
1648
ref
1623
ref
120
ref
1813
remove
appTerm
1810
remove
appTerm
absTerm
1854
def
1625
ref
appTerm
1855
def
betaConv
197
ref
664
ref
1854
ref
appTerm
1856
def
absTerm
1857
def
199
ref
appTerm
1858
def
betaConv
nil
664
ref
1857
ref
appTerm
1859
def
axiom
nil
117
ref
1859
remove
nil
cons
cons
119
ref
1858
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1857
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1856
remove
nil
cons
cons
119
ref
1855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1854
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1860
def
subst
1861
def
subst
eqMp
1739
ref
512
ref
166
ref
1675
ref
1216
ref
60
ref
1851
ref
63
ref
appTerm
betaConv
1862
def
absThm
appThm
appThm
1804
ref
refl
1863
def
appThm
appThm
1216
ref
60
ref
1675
ref
1862
remove
appThm
1863
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1851
remove
nil
cons
cons
119
ref
1804
ref
nil
cons
1864
def
cons
nil
cons
cons
nil
cons
cons
622
ref
119
ref
120
ref
1811
remove
123
ref
appTerm
appTerm
451
ref
13
ref
1809
remove
123
ref
appTerm
absTerm
1865
def
appTerm
appTerm
absTerm
1866
def
123
ref
appTerm
1867
def
betaConv
197
ref
280
ref
1866
ref
appTerm
1868
def
absTerm
1869
def
199
ref
appTerm
1870
def
betaConv
nil
664
ref
1869
ref
appTerm
1871
def
axiom
nil
117
ref
1871
remove
nil
cons
cons
119
ref
1870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1869
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1868
remove
nil
cons
cons
119
ref
1867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1866
remove
nil
cons
cons
1214
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
1872
def
subst
eqMp
absThm
appThm
trans
trans
appThm
1675
ref
1739
ref
512
ref
1780
ref
32
ref
306
ref
1216
ref
60
ref
166
ref
306
ref
1200
remove
appThm
1573
ref
appThm
appThm
1198
ref
452
ref
306
ref
1199
remove
appThm
1573
ref
appThm
absThm
appThm
appThm
nil
1202
remove
1779
ref
cons
nil
cons
cons
1848
ref
subst
eqMp
1198
ref
452
ref
166
ref
306
ref
1218
remove
appThm
1573
ref
appThm
appThm
1216
ref
454
ref
306
ref
1217
remove
appThm
1573
remove
appThm
absThm
appThm
appThm
nil
1220
remove
1779
remove
cons
nil
cons
cons
1849
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
appThm
1824
ref
refl
1873
def
appThm
166
ref
306
ref
1216
ref
60
ref
60
ref
451
ref
452
ref
453
ref
454
ref
43
ref
471
remove
appTerm
1572
ref
appTerm
1874
def
absTerm
1875
def
appTerm
absTerm
1876
def
appTerm
absTerm
1877
def
63
ref
appTerm
betaConv
1878
def
absThm
appThm
appThm
1873
ref
appThm
appThm
1216
ref
60
ref
306
ref
1878
remove
appThm
1873
ref
appThm
absThm
appThm
appThm
nil
1034
ref
1877
remove
nil
cons
cons
119
ref
1824
ref
nil
cons
1879
def
cons
nil
cons
1880
def
cons
nil
cons
cons
1849
ref
subst
eqMp
1216
ref
60
ref
166
ref
306
ref
1198
ref
452
ref
1876
ref
459
ref
appTerm
betaConv
1881
def
absThm
appThm
appThm
1873
ref
appThm
appThm
1198
ref
452
ref
306
ref
1881
remove
appThm
1873
ref
appThm
absThm
appThm
appThm
nil
197
ref
1876
remove
nil
cons
cons
1880
ref
cons
nil
cons
cons
1848
ref
subst
eqMp
1198
ref
452
ref
166
ref
306
ref
1216
ref
454
ref
1875
ref
455
ref
appTerm
betaConv
1882
def
absThm
appThm
appThm
1873
ref
appThm
appThm
1216
ref
454
ref
306
ref
1882
remove
appThm
1873
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1875
remove
nil
cons
cons
1880
remove
cons
nil
cons
cons
1849
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
absThm
appThm
absThm
appThm
appThm
1739
ref
512
ref
1780
ref
32
ref
166
ref
1833
ref
refl
1883
def
1198
ref
452
ref
1782
ref
absThm
appThm
appThm
appThm
1198
ref
452
ref
1883
ref
1782
remove
appThm
absThm
appThm
appThm
nil
1623
ref
1781
remove
cons
117
ref
1832
remove
nil
cons
1884
def
cons
nil
cons
1885
def
cons
nil
cons
cons
1623
ref
120
ref
126
ref
1812
ref
appTerm
appTerm
451
ref
13
ref
126
ref
1626
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1886
def
1625
ref
appTerm
1887
def
betaConv
117
ref
664
ref
1886
ref
appTerm
1888
def
absTerm
1889
def
121
ref
appTerm
1890
def
betaConv
nil
280
ref
1889
ref
appTerm
1891
def
axiom
nil
117
ref
1891
remove
nil
cons
cons
119
ref
1890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1889
remove
nil
cons
cons
1607
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1888
remove
nil
cons
cons
119
ref
1887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1886
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1892
def
subst
eqMp
1198
ref
452
ref
166
ref
1883
ref
1216
ref
60
ref
1784
ref
absThm
appThm
appThm
appThm
1216
ref
60
ref
1883
remove
1784
remove
appThm
absThm
appThm
appThm
nil
"q"
57
ref
var
1893
def
1783
remove
cons
1885
remove
cons
nil
cons
cons
622
ref
1892
ref
subst
1894
def
subst
eqMp
absThm
appThm
trans
absThm
appThm
absThm
appThm
appThm
166
ref
1675
ref
1739
ref
512
ref
512
ref
886
ref
32
ref
453
ref
60
ref
451
ref
452
ref
453
ref
454
ref
43
ref
1874
remove
appTerm
1824
ref
appTerm
1895
def
absTerm
1896
def
appTerm
absTerm
1897
def
appTerm
absTerm
1898
def
appTerm
absTerm
1899
def
appTerm
absTerm
1900
def
1571
ref
appTerm
betaConv
1901
def
absThm
appThm
appThm
1739
ref
512
ref
512
ref
886
ref
32
ref
451
ref
452
ref
453
ref
60
ref
1833
ref
1581
remove
appTerm
absTerm
1902
def
appTerm
absTerm
1903
def
appTerm
1904
def
absTerm
1905
def
appTerm
absTerm
1906
def
1571
ref
appTerm
betaConv
1907
def
absThm
appThm
appThm
appThm
1739
ref
512
ref
1675
ref
1901
remove
appThm
1907
remove
appThm
absThm
appThm
appThm
nil
1644
ref
1900
remove
nil
cons
cons
1646
ref
1906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1861
ref
subst
eqMp
1739
ref
512
ref
166
ref
1675
ref
1780
ref
32
ref
1899
ref
36
ref
appTerm
betaConv
1908
def
absThm
appThm
appThm
1780
ref
32
ref
1905
ref
36
ref
appTerm
betaConv
1909
def
absThm
appThm
appThm
appThm
1780
ref
32
ref
1675
ref
1908
remove
appThm
1909
remove
appThm
absThm
appThm
appThm
nil
409
ref
1899
remove
nil
cons
cons
1621
ref
1905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
272
ref
1860
ref
subst
subst
eqMp
1780
ref
32
ref
166
ref
1675
ref
1216
ref
60
ref
1898
ref
63
ref
appTerm
betaConv
1910
def
absThm
appThm
appThm
1904
ref
refl
1911
def
appThm
appThm
1216
ref
60
ref
1675
ref
1910
remove
appThm
1911
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1898
remove
nil
cons
cons
119
ref
1904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1872
ref
subst
eqMp
1216
ref
60
ref
166
ref
1675
ref
1198
ref
452
ref
1897
ref
459
ref
appTerm
betaConv
1912
def
absThm
appThm
appThm
1198
ref
452
ref
1903
ref
459
ref
appTerm
betaConv
1913
def
absThm
appThm
appThm
appThm
1198
ref
452
ref
1675
ref
1912
remove
appThm
1913
remove
appThm
absThm
appThm
appThm
nil
197
ref
1897
remove
nil
cons
cons
1623
ref
1903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1860
ref
subst
eqMp
1198
ref
452
ref
166
ref
1675
ref
1216
ref
454
ref
1896
ref
455
ref
appTerm
betaConv
1914
def
absThm
appThm
appThm
1216
ref
454
ref
1902
ref
455
ref
appTerm
betaConv
1915
def
absThm
appThm
appThm
appThm
1216
ref
454
ref
1675
ref
1914
remove
appThm
1915
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1896
remove
nil
cons
cons
1893
ref
1902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
622
ref
1860
remove
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
trans
appThm
166
ref
1675
ref
1739
ref
512
ref
512
ref
453
ref
60
ref
883
ref
1850
ref
appTerm
1804
remove
appTerm
1916
def
absTerm
1917
def
appTerm
absTerm
1918
def
1571
ref
appTerm
betaConv
1919
def
absThm
appThm
appThm
1739
ref
512
ref
512
ref
886
ref
32
ref
453
ref
60
ref
451
ref
452
ref
453
ref
454
ref
883
ref
1895
remove
appTerm
1833
remove
458
ref
463
ref
1571
ref
468
ref
appTerm
1920
def
appTerm
1921
def
appTerm
1922
def
appTerm
1923
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1924
def
appTerm
absTerm
1925
def
appTerm
1926
def
absTerm
1927
def
1571
ref
appTerm
betaConv
1928
def
absThm
appThm
appThm
appThm
1739
ref
512
ref
1675
ref
1919
remove
appThm
1928
remove
appThm
absThm
appThm
appThm
nil
1644
remove
1918
remove
nil
cons
cons
1646
remove
1927
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1861
remove
subst
eqMp
1739
remove
512
ref
166
ref
1675
ref
1216
ref
60
ref
1917
ref
63
ref
appTerm
betaConv
1929
def
absThm
appThm
appThm
1926
ref
refl
1930
def
appThm
appThm
1216
ref
60
ref
1675
ref
1929
remove
appThm
1930
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1917
remove
nil
cons
cons
119
ref
1926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1872
remove
subst
eqMp
1216
ref
60
ref
166
ref
883
ref
1916
ref
appTerm
1931
def
refl
1932
def
1780
ref
32
ref
1925
ref
36
ref
appTerm
betaConv
1933
def
absThm
appThm
appThm
appThm
1780
ref
32
ref
1932
ref
1933
remove
appThm
absThm
appThm
appThm
nil
1621
ref
1925
remove
nil
cons
cons
117
ref
1916
remove
nil
cons
1934
def
cons
1935
def
nil
cons
1936
def
cons
nil
cons
cons
272
ref
1623
ref
120
ref
883
ref
121
ref
appTerm
1937
def
1812
ref
appTerm
appTerm
451
ref
13
ref
1937
ref
1626
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1938
def
1625
ref
appTerm
1939
def
betaConv
117
ref
664
ref
1938
ref
appTerm
1940
def
absTerm
1941
def
121
ref
appTerm
1942
def
betaConv
nil
280
ref
1941
ref
appTerm
1943
def
axiom
nil
117
ref
1943
remove
nil
cons
cons
119
ref
1942
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
1941
remove
nil
cons
cons
1607
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1940
remove
nil
cons
cons
119
ref
1939
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
1938
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
1944
def
subst
subst
eqMp
1780
ref
32
ref
166
ref
1932
ref
1216
ref
60
ref
1924
ref
63
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
1216
ref
"s'"
49
ref
var
1945
def
1932
ref
1924
ref
1945
ref
varTerm
1946
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1893
ref
1924
remove
nil
cons
cons
1936
ref
cons
nil
cons
cons
622
ref
1944
ref
subst
1947
def
subst
eqMp
1216
ref
1945
ref
166
ref
1932
ref
1198
ref
452
ref
452
ref
453
ref
454
ref
883
ref
43
ref
43
ref
458
ref
463
ref
465
ref
1946
ref
appTerm
468
ref
appTerm
1948
def
appTerm
1949
def
appTerm
1950
def
appTerm
1571
ref
1946
ref
appTerm
1951
def
appTerm
1952
def
appTerm
1824
remove
appTerm
1953
def
appTerm
1923
ref
appTerm
1954
def
absTerm
1955
def
appTerm
absTerm
1956
def
459
ref
appTerm
betaConv
1957
def
absThm
appThm
appThm
appThm
1198
ref
452
ref
1932
ref
1957
remove
appThm
absThm
appThm
appThm
nil
1623
ref
1956
remove
nil
cons
cons
1936
ref
cons
nil
cons
cons
1944
remove
subst
eqMp
1198
ref
452
ref
166
ref
1932
ref
1216
ref
454
ref
1955
ref
455
ref
appTerm
betaConv
1958
def
absThm
appThm
appThm
appThm
1216
ref
454
ref
1932
remove
1958
remove
appThm
absThm
appThm
appThm
nil
1893
ref
1955
remove
nil
cons
cons
1936
remove
cons
nil
cons
cons
1947
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
absThm
appThm
trans
trans
trans
trans
1652
remove
assume
eqMp
nil
117
ref
1738
remove
512
ref
453
ref
60
ref
886
ref
32
ref
453
ref
1945
ref
451
ref
452
ref
453
ref
454
ref
1931
remove
1954
ref
appTerm
1959
def
absTerm
1960
def
appTerm
1961
def
absTerm
1962
def
appTerm
1963
def
absTerm
1964
def
appTerm
1965
def
absTerm
1966
def
appTerm
1967
def
absTerm
1968
def
appTerm
1969
def
absTerm
1970
def
appTerm
1971
def
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1048
ref
512
ref
7
ref
1970
ref
1571
ref
appTerm
1972
def
appTerm
539
ref
appTerm
1973
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1648
remove
370
ref
subst
1974
def
subst
512
ref
nil
149
ref
1973
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1972
ref
nil
cons
1975
def
cons
549
ref
cons
nil
cons
cons
1976
def
136
ref
subst
1976
remove
195
ref
subst
1972
ref
betaConv
1972
remove
assume
eqMp
nil
117
ref
1969
ref
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
60
ref
7
ref
1968
ref
63
ref
appTerm
1977
def
appTerm
539
ref
appTerm
1978
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
1978
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1977
ref
nil
cons
1979
def
cons
549
ref
cons
nil
cons
cons
1980
def
136
ref
subst
1980
remove
195
ref
subst
1977
ref
betaConv
1977
remove
assume
eqMp
nil
117
ref
1967
ref
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
211
ref
32
ref
7
ref
1966
ref
36
ref
appTerm
1981
def
appTerm
539
ref
appTerm
1982
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
1982
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1981
ref
nil
cons
1983
def
cons
549
ref
cons
nil
cons
cons
1984
def
136
ref
subst
1984
remove
195
ref
subst
1981
ref
betaConv
1981
remove
assume
eqMp
nil
117
ref
1965
ref
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
1945
ref
7
ref
1964
ref
1946
ref
appTerm
1985
def
appTerm
539
ref
appTerm
1986
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
1945
ref
nil
149
ref
1986
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1985
ref
nil
cons
1987
def
cons
549
ref
cons
nil
cons
cons
1988
def
136
ref
subst
1988
remove
195
ref
subst
1985
ref
betaConv
1985
remove
assume
eqMp
nil
117
ref
1963
ref
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
188
ref
452
ref
7
ref
1962
ref
459
ref
appTerm
1989
def
appTerm
539
ref
appTerm
1990
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
1990
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1989
ref
nil
cons
1991
def
cons
549
ref
cons
nil
cons
cons
1992
def
136
ref
subst
1992
remove
195
ref
subst
1989
ref
betaConv
1989
remove
assume
eqMp
nil
117
ref
1961
ref
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
454
ref
7
ref
1960
ref
455
ref
appTerm
1993
def
appTerm
539
ref
appTerm
1994
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
1994
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
1993
ref
nil
cons
1995
def
cons
549
ref
cons
nil
cons
cons
1996
def
136
ref
subst
1996
remove
195
ref
subst
1993
ref
betaConv
1993
remove
assume
eqMp
nil
117
ref
1959
remove
nil
cons
1997
def
cons
549
ref
cons
nil
cons
cons
1998
def
187
ref
subst
proveHyp
1998
ref
136
ref
subst
1998
remove
195
ref
subst
nil
117
ref
1954
remove
nil
cons
1999
def
cons
549
ref
cons
nil
cons
cons
2000
def
136
ref
subst
2000
remove
195
ref
subst
nil
117
ref
1923
remove
nil
cons
2001
def
cons
549
ref
cons
nil
cons
cons
2002
def
136
ref
subst
2002
remove
195
ref
subst
nil
162
ref
1884
remove
cons
164
ref
1922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2003
def
436
ref
subst
2004
def
nil
162
ref
1792
ref
cons
2005
def
164
ref
1921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2006
def
178
ref
subst
proveHyp
nil
1793
ref
119
ref
43
ref
465
ref
468
ref
appTerm
468
ref
appTerm
2007
def
appTerm
1920
ref
appTerm
2008
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
513
ref
468
ref
nil
cons
2009
def
cons
nil
cons
nil
cons
cons
622
ref
207
ref
subst
subst
nil
117
ref
2007
remove
nil
cons
cons
119
ref
1920
ref
nil
cons
2010
def
cons
nil
cons
2011
def
cons
nil
cons
cons
195
ref
subst
proveHyp
2004
remove
2006
remove
436
ref
subst
proveHyp
2012
def
nil
1240
ref
164
ref
2010
remove
cons
nil
cons
cons
nil
cons
cons
2013
def
436
ref
subst
proveHyp
eqMp
eqMp
nil
117
ref
458
ref
2008
remove
appTerm
nil
cons
cons
119
ref
1289
remove
cons
nil
cons
2014
def
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"_11649"
9
ref
var
2015
def
568
ref
cons
"_11648"
49
ref
var
2016
def
2009
remove
cons
"_11650"
49
ref
var
2017
def
1244
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
"b"
3
ref
var
2018
def
883
ref
19
ref
446
ref
2017
remove
varTerm
2019
def
appTerm
36
ref
appTerm
2020
def
appTerm
2021
def
appTerm
2022
def
883
ref
19
ref
465
ref
2016
remove
varTerm
2023
def
appTerm
2024
def
70
ref
2015
remove
varTerm
2025
def
appTerm
2026
def
2019
ref
appTerm
appTerm
2027
def
appTerm
2028
def
appTerm
19
ref
1571
ref
2023
ref
appTerm
2029
def
appTerm
2030
def
appTerm
2031
def
appTerm
nil
cons
cons
1536
ref
78
ref
2025
ref
appTerm
2032
def
2019
ref
appTerm
2033
def
nil
cons
2034
def
cons
nil
cons
cons
nil
cons
cons
nil
117
ref
120
ref
1544
ref
appTerm
2035
def
539
ref
appTerm
2036
def
nil
cons
2037
def
cons
2038
def
119
ref
120
ref
883
ref
1544
ref
appTerm
2018
ref
varTerm
2039
def
appTerm
2040
def
appTerm
7
ref
19
ref
2039
ref
appTerm
2041
def
appTerm
2042
def
1544
ref
appTerm
appTerm
nil
cons
2043
def
cons
nil
cons
2044
def
cons
nil
cons
cons
2045
def
136
ref
subst
2045
remove
195
ref
subst
120
ref
"_610"
3
ref
var
2046
def
120
ref
883
ref
2046
remove
varTerm
2047
def
appTerm
2039
ref
appTerm
appTerm
2042
ref
2047
remove
appTerm
appTerm
absTerm
2048
def
1544
ref
appTerm
2049
def
appTerm
refl
2050
def
2048
ref
539
ref
appTerm
betaConv
appThm
166
ref
2049
remove
betaConv
appThm
2051
def
120
ref
1699
ref
2039
ref
appTerm
2052
def
appTerm
2042
ref
539
ref
appTerm
appTerm
refl
appThm
trans
2048
remove
refl
2053
def
2036
remove
assume
2054
def
appThm
eqMp
sym
166
ref
nil
149
ref
2039
ref
nil
cons
2055
def
cons
nil
cons
nil
cons
cons
2056
def
1703
ref
subst
2057
def
appThm
nil
149
ref
2041
ref
nil
cons
2058
def
cons
nil
cons
nil
cons
cons
2059
def
1010
ref
subst
2056
ref
1605
ref
subst
trans
appThm
nil
284
ref
2055
remove
cons
nil
cons
2060
def
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
2037
ref
cons
2061
def
164
ref
2043
ref
cons
nil
cons
2062
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
2035
ref
141
ref
appTerm
2063
def
nil
cons
2064
def
cons
2065
def
2044
remove
cons
nil
cons
cons
2066
def
136
ref
subst
2066
remove
195
ref
subst
2050
remove
"_608"
3
ref
var
2067
def
120
ref
883
ref
2067
remove
varTerm
2068
def
appTerm
2039
ref
appTerm
appTerm
2042
ref
2068
remove
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
2051
remove
120
ref
1680
ref
2039
ref
appTerm
2069
def
appTerm
2042
remove
141
ref
appTerm
appTerm
refl
appThm
trans
2053
remove
2063
remove
assume
2070
def
appThm
eqMp
sym
166
ref
2056
ref
1684
ref
subst
2071
def
appThm
2059
ref
287
ref
subst
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
2064
remove
cons
2072
def
2062
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
1544
ref
appTerm
2073
def
betaConv
1406
ref
nil
1407
ref
119
ref
2073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
1544
ref
nil
cons
2074
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2075
def
nil
2072
ref
164
ref
2037
remove
cons
2076
def
1064
ref
2043
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
2077
def
subst
235
ref
nil
2018
ref
2031
remove
nil
cons
2078
def
cons
1536
ref
2021
remove
nil
cons
2079
def
cons
nil
cons
cons
nil
cons
cons
nil
2038
ref
119
ref
120
ref
19
ref
2040
remove
appTerm
appTerm
43
ref
19
ref
1544
ref
appTerm
2080
def
appTerm
2081
def
2041
ref
appTerm
appTerm
nil
cons
2082
def
cons
nil
cons
2083
def
cons
nil
cons
cons
2084
def
136
ref
subst
2084
remove
195
ref
subst
120
ref
"_614"
3
ref
var
2085
def
120
ref
19
ref
883
ref
2085
remove
varTerm
2086
def
appTerm
2039
ref
appTerm
appTerm
appTerm
43
ref
19
ref
2086
remove
appTerm
appTerm
2041
ref
appTerm
appTerm
absTerm
2087
def
1544
ref
appTerm
2088
def
appTerm
refl
2089
def
2087
ref
539
ref
appTerm
betaConv
appThm
166
ref
2088
remove
betaConv
appThm
2090
def
120
ref
19
ref
2052
remove
appTerm
appTerm
1752
ref
2041
ref
appTerm
appTerm
refl
appThm
trans
2087
remove
refl
2091
def
2054
ref
appThm
eqMp
sym
166
ref
537
ref
2057
remove
appThm
appThm
1755
ref
2041
ref
refl
2092
def
appThm
2059
ref
428
ref
subst
trans
appThm
nil
284
ref
2058
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
2093
def
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
ref
164
ref
2082
ref
cons
nil
cons
2094
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
ref
2083
remove
cons
nil
cons
cons
2095
def
136
ref
subst
2095
remove
195
ref
subst
2089
remove
"_612"
3
ref
var
2096
def
120
ref
19
ref
883
ref
2096
remove
varTerm
2097
def
appTerm
2039
ref
appTerm
appTerm
appTerm
43
ref
19
ref
2097
remove
appTerm
appTerm
2041
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
2090
remove
120
ref
19
ref
2069
remove
appTerm
appTerm
1761
ref
2041
ref
appTerm
appTerm
refl
appThm
trans
2091
remove
2070
ref
appThm
eqMp
sym
166
ref
537
ref
2071
remove
appThm
744
ref
trans
appThm
1763
ref
2092
ref
appThm
2059
ref
1107
ref
subst
trans
appThm
1112
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2072
ref
2094
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
ref
nil
2072
ref
2076
ref
1064
ref
2082
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
2098
def
subst
306
ref
nil
1536
ref
2020
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
149
ref
2074
remove
cons
nil
cons
nil
cons
cons
2099
def
1605
ref
subst
2100
def
subst
appThm
nil
2018
ref
2030
ref
nil
cons
2101
def
cons
1536
ref
2028
ref
nil
cons
2102
def
cons
nil
cons
cons
nil
cons
cons
2098
ref
subst
306
ref
nil
1536
ref
2027
remove
nil
cons
cons
nil
cons
nil
cons
cons
2100
ref
subst
appThm
nil
1536
ref
2029
remove
nil
cons
cons
nil
cons
nil
cons
cons
2100
ref
subst
appThm
trans
appThm
trans
appThm
2033
ref
refl
appThm
trans
nil
1069
ref
2078
remove
cons
119
ref
2034
ref
cons
117
ref
2079
ref
cons
nil
cons
cons
cons
nil
cons
cons
166
ref
nil
"t3"
3
ref
var
2103
def
1070
ref
nil
cons
2104
def
cons
2105
def
"t2"
3
ref
var
2106
def
158
ref
cons
"t1"
3
ref
var
2107
def
150
ref
cons
nil
cons
cons
2108
def
cons
nil
cons
cons
2103
ref
120
ref
883
ref
2107
ref
varTerm
2109
def
appTerm
2110
def
883
ref
2106
ref
varTerm
2111
def
appTerm
2112
def
2103
ref
varTerm
2113
def
appTerm
appTerm
2114
def
appTerm
883
ref
2110
remove
2111
ref
appTerm
2115
def
appTerm
2113
ref
appTerm
2116
def
appTerm
2117
def
absTerm
2118
def
2113
ref
appTerm
2119
def
betaConv
2106
ref
280
ref
2118
ref
appTerm
2120
def
absTerm
2121
def
2111
ref
appTerm
2122
def
betaConv
2107
ref
280
ref
2121
ref
appTerm
2123
def
absTerm
2124
def
2109
ref
appTerm
2125
def
betaConv
280
ref
refl
2126
def
2107
ref
2126
ref
2106
ref
2126
ref
2103
ref
2117
remove
assume
sym
120
ref
2116
remove
appTerm
2114
remove
appTerm
2127
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
280
ref
2107
ref
280
ref
2106
ref
280
ref
2103
ref
2127
remove
absTerm
2128
def
appTerm
2129
def
absTerm
2130
def
appTerm
2131
def
absTerm
2132
def
appTerm
2133
def
axiom
2134
def
eqMp
nil
117
ref
280
ref
2124
ref
appTerm
nil
cons
cons
119
ref
2125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2124
remove
nil
cons
cons
284
ref
2109
ref
nil
cons
cons
nil
cons
2135
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2123
remove
nil
cons
cons
119
ref
2122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2121
remove
nil
cons
cons
284
ref
2111
ref
nil
cons
cons
nil
cons
2136
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2120
remove
nil
cons
cons
119
ref
2119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2118
remove
nil
cons
cons
284
ref
2113
ref
nil
cons
cons
nil
cons
2137
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2138
def
subst
appThm
nil
2105
remove
2106
ref
150
remove
cons
2107
ref
158
remove
cons
nil
cons
cons
cons
nil
cons
cons
2138
remove
subst
appThm
sym
1675
ref
nil
2108
remove
nil
cons
cons
2106
ref
120
ref
2115
remove
appTerm
2112
remove
2109
ref
appTerm
appTerm
absTerm
2139
def
2111
ref
appTerm
2140
def
betaConv
2107
ref
280
ref
2139
ref
appTerm
2141
def
absTerm
2142
def
2109
ref
appTerm
2143
def
betaConv
nil
280
ref
2142
ref
appTerm
2144
def
axiom
nil
117
ref
2144
remove
nil
cons
cons
119
ref
2143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2142
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2141
remove
nil
cons
cons
119
ref
2140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2139
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
1070
ref
refl
appThm
eqMp
2145
def
subst
nil
2107
ref
2079
remove
cons
2106
ref
883
ref
2033
remove
appTerm
2028
remove
appTerm
nil
cons
cons
2103
ref
2101
remove
cons
nil
cons
2146
def
cons
cons
nil
cons
cons
2128
ref
2113
ref
appTerm
2147
def
betaConv
2130
ref
2111
ref
appTerm
2148
def
betaConv
2132
ref
2109
ref
appTerm
2149
def
betaConv
2134
remove
nil
117
ref
2133
remove
nil
cons
cons
119
ref
2149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2132
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2131
remove
nil
cons
cons
119
ref
2148
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2130
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2129
remove
nil
cons
cons
119
ref
2147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2128
remove
nil
cons
cons
2137
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2150
def
subst
2022
remove
refl
nil
2107
ref
2034
remove
cons
2106
ref
2102
remove
cons
2146
remove
cons
cons
nil
cons
cons
2150
remove
subst
appThm
trans
454
ref
883
ref
1827
ref
883
ref
2032
remove
455
ref
appTerm
appTerm
19
ref
2024
ref
2026
remove
455
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
2030
ref
appTerm
absTerm
2151
def
2019
ref
appTerm
2152
def
betaConv
452
ref
59
ref
454
ref
883
ref
1827
remove
1828
remove
19
ref
2024
remove
468
ref
appTerm
appTerm
appTerm
appTerm
appTerm
2030
remove
appTerm
absTerm
appTerm
absTerm
2153
def
2025
ref
appTerm
2154
def
betaConv
60
ref
12
ref
452
ref
59
ref
454
ref
883
ref
1829
remove
appTerm
1798
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2155
def
2023
ref
appTerm
2156
def
betaConv
298
ref
60
ref
166
ref
1675
ref
236
ref
452
ref
1831
ref
459
ref
appTerm
betaConv
2157
def
absThm
appThm
appThm
1799
ref
appThm
appThm
236
ref
452
ref
1675
ref
2157
remove
appThm
1799
ref
appThm
absThm
appThm
appThm
nil
197
ref
1831
remove
nil
cons
cons
119
ref
1798
remove
nil
cons
cons
nil
cons
2158
def
cons
nil
cons
cons
119
ref
120
ref
883
ref
1627
ref
appTerm
123
ref
appTerm
appTerm
12
ref
1865
remove
appTerm
appTerm
absTerm
2159
def
123
ref
appTerm
2160
def
betaConv
197
ref
280
ref
2159
ref
appTerm
2161
def
absTerm
2162
def
199
ref
appTerm
2163
def
betaConv
nil
664
ref
2162
ref
appTerm
2164
def
axiom
nil
117
ref
2164
remove
nil
cons
cons
119
ref
2163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
2162
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2161
remove
nil
cons
cons
119
ref
2160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2159
remove
nil
cons
cons
1214
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2165
def
subst
eqMp
236
ref
452
ref
166
ref
1675
ref
298
ref
454
ref
1830
ref
455
ref
appTerm
betaConv
2166
def
absThm
appThm
appThm
1799
ref
appThm
appThm
298
ref
454
ref
1675
ref
2166
remove
appThm
1799
remove
appThm
absThm
appThm
appThm
nil
1034
ref
1830
remove
nil
cons
cons
2158
remove
cons
nil
cons
cons
622
ref
2165
remove
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
2003
remove
178
ref
subst
eqMp
nil
117
ref
59
ref
2155
ref
appTerm
nil
cons
cons
119
ref
2156
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2155
remove
nil
cons
cons
513
ref
2023
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
12
ref
2153
ref
appTerm
nil
cons
cons
119
ref
2154
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2153
remove
nil
cons
cons
13
ref
2025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
59
ref
2151
ref
appTerm
nil
cons
cons
119
ref
2152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2151
remove
nil
cons
cons
513
ref
2019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
1795
remove
549
ref
cons
nil
cons
cons
187
ref
subst
2167
def
proveHyp
1796
remove
120
ref
1596
remove
appTerm
refl
151
ref
1010
ref
subst
appThm
nil
284
ref
1597
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
2168
def
subst
2169
def
2012
remove
2013
remove
178
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
2001
ref
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1953
remove
nil
cons
2170
def
cons
549
ref
cons
nil
cons
cons
2171
def
136
ref
subst
2171
remove
195
ref
subst
nil
162
ref
1952
remove
nil
cons
cons
164
ref
1879
ref
cons
nil
cons
cons
nil
cons
cons
2172
def
178
ref
subst
2173
def
nil
162
ref
1950
remove
nil
cons
cons
164
ref
1951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2174
def
178
ref
subst
proveHyp
2175
def
nil
2005
remove
164
ref
1949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2176
def
178
ref
subst
proveHyp
nil
1793
ref
2011
remove
cons
nil
cons
cons
195
ref
subst
proveHyp
120
ref
"_11661"
49
ref
var
2177
def
1571
ref
2177
remove
varTerm
appTerm
absTerm
2178
def
1946
ref
appTerm
2179
def
appTerm
refl
2178
ref
468
ref
appTerm
betaConv
appThm
166
ref
2179
remove
betaConv
appThm
1920
ref
refl
appThm
trans
2178
remove
refl
2180
def
2175
remove
2176
remove
436
ref
subst
proveHyp
2181
def
nil
1240
remove
164
ref
1948
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2182
def
436
ref
subst
proveHyp
appThm
eqMp
2173
remove
2174
remove
436
ref
subst
proveHyp
eqMp
eqMp
nil
117
ref
458
ref
1920
remove
appTerm
nil
cons
cons
2014
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"_11646"
9
ref
var
2183
def
568
ref
cons
"_11647"
49
ref
var
2184
def
1244
ref
cons
nil
cons
cons
nil
cons
cons
nil
2018
ref
883
ref
19
ref
446
ref
2184
remove
varTerm
2185
def
appTerm
36
ref
appTerm
2186
def
appTerm
2187
def
appTerm
19
ref
1571
ref
70
ref
2183
remove
varTerm
2188
def
appTerm
2189
def
2185
ref
appTerm
appTerm
2190
def
appTerm
2191
def
appTerm
nil
cons
cons
1536
ref
78
ref
2188
ref
appTerm
2192
def
2185
ref
appTerm
2193
def
nil
cons
2194
def
cons
nil
cons
cons
nil
cons
cons
2077
remove
subst
235
ref
nil
2018
ref
2191
remove
nil
cons
2195
def
cons
1536
ref
2187
remove
nil
cons
2196
def
cons
nil
cons
cons
nil
cons
cons
2098
remove
subst
306
ref
nil
1536
ref
2186
remove
nil
cons
cons
nil
cons
nil
cons
cons
2100
ref
subst
appThm
nil
1536
ref
2190
remove
nil
cons
cons
nil
cons
nil
cons
cons
2100
remove
subst
appThm
trans
appThm
2193
remove
refl
appThm
trans
nil
1069
ref
2195
remove
cons
119
ref
2194
remove
cons
117
ref
2196
remove
cons
nil
cons
cons
cons
nil
cons
cons
2145
remove
subst
60
ref
1822
remove
883
ref
2192
remove
63
ref
appTerm
appTerm
19
ref
1571
ref
2189
remove
63
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2197
def
2185
ref
appTerm
2198
def
betaConv
1823
ref
2188
ref
appTerm
2199
def
betaConv
2172
remove
436
ref
subst
nil
117
ref
1879
remove
cons
119
ref
2199
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
1823
remove
nil
cons
cons
13
ref
2188
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
59
ref
2197
ref
appTerm
nil
cons
cons
119
ref
2198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2197
remove
nil
cons
cons
513
ref
2185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
2167
remove
proveHyp
2169
remove
2181
remove
2182
remove
178
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
2170
remove
cons
2200
def
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2200
remove
164
ref
2001
remove
cons
1064
ref
548
ref
cons
nil
cons
2201
def
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
1999
ref
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1935
remove
549
ref
cons
nil
cons
cons
2202
def
136
ref
subst
2202
remove
195
ref
subst
nil
117
ref
1864
ref
cons
549
ref
cons
nil
cons
cons
2203
def
136
ref
subst
2203
remove
195
ref
subst
308
ref
nil
117
ref
1028
ref
nil
cons
cons
1741
remove
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
162
ref
1803
remove
nil
cons
2204
def
cons
164
ref
1740
ref
cons
nil
cons
cons
nil
cons
cons
2205
def
436
ref
subst
eqMp
nil
117
ref
43
ref
1028
remove
appTerm
1574
ref
appTerm
nil
cons
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"_11645"
49
ref
var
2206
def
955
ref
cons
nil
cons
nil
cons
cons
nil
2018
ref
1571
ref
2206
remove
varTerm
2207
def
appTerm
2208
def
nil
cons
cons
1536
ref
465
ref
2207
ref
appTerm
56
ref
appTerm
2209
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
2038
ref
119
ref
120
ref
883
ref
2080
remove
appTerm
2041
ref
appTerm
appTerm
19
ref
43
ref
1544
ref
appTerm
2210
def
2039
ref
appTerm
2211
def
appTerm
2212
def
appTerm
nil
cons
2213
def
cons
nil
cons
2214
def
cons
nil
cons
cons
2215
def
136
ref
subst
2215
remove
195
ref
subst
120
ref
"_618"
3
ref
var
2216
def
120
ref
883
ref
19
ref
2216
remove
varTerm
2217
def
appTerm
appTerm
2041
ref
appTerm
appTerm
19
ref
43
ref
2217
remove
appTerm
2039
ref
appTerm
appTerm
appTerm
absTerm
2218
def
1544
ref
appTerm
2219
def
appTerm
refl
2220
def
2218
ref
539
ref
appTerm
betaConv
appThm
166
ref
2219
remove
betaConv
appThm
2221
def
120
ref
1670
remove
2041
ref
appTerm
appTerm
19
ref
1103
ref
2039
ref
appTerm
2222
def
appTerm
2223
def
appTerm
refl
appThm
trans
2218
remove
refl
2224
def
2054
ref
appThm
eqMp
sym
166
ref
1676
remove
2092
ref
appThm
2059
ref
1684
ref
subst
trans
appThm
537
ref
2056
ref
1107
ref
subst
2225
def
appThm
566
ref
trans
2226
def
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
ref
164
ref
2213
ref
cons
nil
cons
2227
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
ref
2214
remove
cons
nil
cons
cons
2228
def
136
ref
subst
2228
remove
195
ref
subst
2220
remove
"_616"
3
ref
var
2229
def
120
ref
883
ref
19
ref
2229
remove
varTerm
2230
def
appTerm
appTerm
2041
ref
appTerm
appTerm
19
ref
43
ref
2230
remove
appTerm
2039
ref
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
2221
remove
120
ref
1694
remove
2041
remove
appTerm
appTerm
19
ref
424
ref
2039
ref
appTerm
2231
def
appTerm
2232
def
appTerm
refl
appThm
trans
2224
remove
2070
ref
appThm
eqMp
sym
166
ref
1698
remove
2092
remove
appThm
2059
ref
1703
ref
subst
trans
appThm
537
ref
2056
remove
428
ref
subst
2233
def
appThm
2234
def
appThm
2093
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2072
ref
2227
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
ref
nil
2072
ref
2076
ref
1064
ref
2213
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
117
ref
43
ref
2209
remove
appTerm
2208
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2168
ref
subst
trans
1802
ref
2207
ref
appTerm
2235
def
betaConv
2205
remove
178
ref
subst
nil
117
ref
2204
remove
cons
119
ref
2235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1802
remove
nil
cons
cons
513
ref
2207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
162
ref
1864
ref
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1850
remove
nil
cons
2236
def
cons
549
ref
cons
nil
cons
cons
2237
def
136
ref
subst
2237
remove
195
ref
subst
120
ref
"_11655"
49
ref
var
2238
def
1571
ref
2238
remove
varTerm
appTerm
absTerm
2239
def
63
ref
appTerm
2240
def
appTerm
refl
2239
remove
56
ref
appTerm
betaConv
appThm
166
ref
2240
remove
betaConv
appThm
1575
remove
appThm
trans
2180
remove
nil
162
ref
1587
remove
nil
cons
cons
164
ref
1840
remove
cons
nil
cons
cons
nil
cons
cons
2241
def
178
ref
subst
2242
def
nil
541
ref
164
ref
1778
remove
cons
nil
cons
cons
nil
cons
cons
2243
def
178
ref
subst
proveHyp
appThm
eqMp
2242
remove
2243
remove
436
ref
subst
proveHyp
eqMp
nil
117
ref
1740
remove
cons
2244
def
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2244
remove
nil
cons
nil
cons
cons
2168
ref
subst
2241
remove
436
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
2236
remove
cons
2245
def
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2245
remove
164
ref
1864
remove
cons
2201
ref
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
1934
remove
cons
2246
def
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2246
remove
164
ref
1999
remove
cons
2201
remove
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
1997
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
1995
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
1960
ref
513
ref
varTerm
2247
def
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1961
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1960
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1991
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
1962
ref
23
ref
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1963
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
1962
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1987
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
1964
ref
2247
ref
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1965
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1964
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1983
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
1966
ref
911
ref
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1967
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
1966
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1979
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
1968
ref
2247
ref
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1969
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
1968
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1975
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
1045
ref
1049
ref
7
ref
1970
ref
1049
ref
varTerm
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
1971
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1047
ref
1048
ref
1970
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
1653
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
1045
ref
1614
ref
appTerm
nil
cons
cons
119
ref
1615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1047
ref
1048
ref
1614
remove
nil
cons
cons
1049
remove
1571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1613
remove
nil
cons
cons
119
ref
1612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
1611
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
2248
def
nil
162
ref
120
ref
453
ref
60
ref
43
ref
447
ref
84
ref
appTerm
2249
def
appTerm
2250
def
1572
ref
appTerm
absTerm
appTerm
appTerm
1574
remove
appTerm
nil
cons
cons
164
ref
120
ref
453
ref
60
ref
43
ref
448
ref
appTerm
1572
remove
appTerm
absTerm
appTerm
appTerm
1584
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2251
def
436
ref
subst
proveHyp
subst
subst
eqMp
trans
1535
ref
1553
ref
166
ref
1538
remove
1539
ref
1554
remove
1539
ref
1556
remove
43
ref
19
ref
1545
ref
1558
ref
appTerm
appTerm
appTerm
1547
ref
1550
ref
1558
remove
appTerm
appTerm
appTerm
appTerm
absTerm
2252
def
1540
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
2252
ref
55
ref
324
ref
constTerm
2253
def
appTerm
betaConv
appThm
nil
1559
remove
2252
remove
nil
cons
cons
nil
cons
nil
cons
cons
444
ref
2248
remove
2251
remove
178
ref
subst
proveHyp
2254
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
1535
ref
1536
ref
1535
remove
1553
ref
nil
162
ref
43
ref
19
ref
1545
remove
1557
remove
2253
ref
appTerm
2255
def
appTerm
appTerm
appTerm
1547
ref
1550
remove
2255
ref
appTerm
appTerm
2256
def
appTerm
nil
cons
cons
1536
ref
1555
ref
nil
cons
2257
def
cons
nil
cons
cons
nil
cons
cons
444
ref
306
ref
537
ref
570
ref
13
ref
19
ref
79
ref
56
ref
appTerm
2258
def
appTerm
2259
def
absTerm
2260
def
23
ref
appTerm
2261
def
betaConv
nil
12
ref
2260
ref
appTerm
2262
def
axiom
nil
117
ref
2262
remove
nil
cons
cons
119
ref
2261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2260
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2259
ref
nil
cons
cons
119
ref
120
ref
2258
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
2258
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
2263
def
subst
2264
def
appThm
566
ref
trans
appThm
176
ref
appThm
nil
149
ref
546
remove
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
2265
def
subst
subst
nil
162
ref
2256
ref
nil
cons
cons
2018
ref
2257
ref
cons
nil
cons
cons
nil
cons
cons
444
ref
306
ref
537
ref
nil
60
ref
955
ref
cons
14
ref
"b"
9
ref
var
2266
def
varTerm
2267
def
nil
cons
2268
def
cons
569
ref
cons
cons
nil
cons
cons
60
ref
120
ref
79
ref
70
remove
25
ref
appTerm
2269
def
63
ref
appTerm
2270
def
appTerm
2271
def
appTerm
883
ref
26
ref
appTerm
2272
def
80
ref
appTerm
appTerm
absTerm
2273
def
63
ref
appTerm
2274
def
betaConv
14
ref
59
ref
2273
ref
appTerm
2275
def
absTerm
2276
def
25
ref
appTerm
2277
def
betaConv
13
ref
12
ref
2276
ref
appTerm
2278
def
absTerm
2279
def
23
ref
appTerm
2280
def
betaConv
nil
12
ref
2279
ref
appTerm
2281
def
axiom
nil
117
ref
2281
remove
nil
cons
cons
119
ref
2280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2279
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2278
remove
nil
cons
cons
119
ref
2277
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2276
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2275
remove
nil
cons
cons
119
ref
2274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2273
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2282
def
subst
883
ref
22
ref
459
ref
appTerm
2283
def
2267
ref
appTerm
2284
def
appTerm
refl
2264
remove
appThm
nil
149
ref
2284
remove
nil
cons
cons
nil
cons
nil
cons
cons
1767
ref
subst
trans
trans
appThm
appThm
176
remove
appThm
subst
subst
trans
absThm
appThm
absThm
appThm
trans
sym
1536
ref
1534
remove
1553
ref
43
ref
19
ref
2035
remove
1555
ref
appTerm
appTerm
appTerm
2256
remove
appTerm
absTerm
appTerm
absTerm
2285
def
141
ref
appTerm
betaConv
sym
1553
ref
43
ref
19
ref
959
ref
1555
ref
appTerm
appTerm
appTerm
1547
ref
1549
ref
141
ref
appTerm
2286
def
2255
remove
appTerm
appTerm
appTerm
absTerm
2287
def
539
ref
appTerm
betaConv
sym
306
ref
537
ref
1058
remove
appThm
566
ref
trans
appThm
1546
remove
refl
nil
1547
remove
2286
remove
1549
remove
539
ref
appTerm
2253
remove
appTerm
appTerm
2288
def
appTerm
axiom
appThm
2288
ref
refl
appThm
nil
"x"
324
remove
var
2288
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1548
remove
cons
nil
cons
96
ref
cons
274
ref
subst
subst
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
282
ref
283
ref
2287
remove
nil
cons
cons
284
ref
548
ref
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
282
ref
283
ref
2285
remove
nil
cons
cons
284
ref
288
ref
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
2289
def
nil
328
remove
334
remove
431
ref
appTerm
2290
def
appTerm
2291
def
thm
236
ref
13
ref
nil
442
ref
60
ref
71
ref
56
ref
appTerm
2292
def
nil
cons
cons
nil
cons
2293
def
cons
nil
cons
cons
516
ref
subst
306
ref
1155
ref
nil
149
ref
62
ref
467
ref
56
ref
appTerm
2294
def
appTerm
2295
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
452
ref
2295
remove
absTerm
2296
def
459
ref
appTerm
2297
def
betaConv
nil
12
ref
2296
ref
appTerm
2298
def
axiom
nil
117
ref
2298
remove
nil
cons
cons
119
ref
2297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2296
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
2299
def
subst
appThm
2300
def
nil
149
ref
31
ref
221
ref
2292
ref
appTerm
2301
def
appTerm
2302
def
431
ref
appTerm
2303
def
nil
cons
2304
def
cons
nil
cons
nil
cons
cons
156
ref
subst
231
ref
56
ref
appTerm
2305
def
betaConv
708
ref
nil
709
ref
119
ref
2305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
710
ref
956
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
1092
remove
appTerm
2306
def
2302
ref
75
ref
2258
ref
appTerm
222
ref
appTerm
35
ref
222
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
2304
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
1093
ref
appThm
2307
def
2302
ref
refl
2308
def
722
ref
2263
ref
appThm
322
ref
appThm
313
ref
322
ref
appThm
appThm
nil
748
ref
422
remove
cons
749
ref
213
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
trans
appThm
appThm
nil
149
ref
2302
remove
340
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2309
def
305
ref
subst
trans
appThm
2308
remove
421
ref
appThm
appThm
2309
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
2310
def
eqMp
2311
def
appThm
429
ref
trans
trans
2312
def
absThm
appThm
297
ref
trans
sym
155
ref
eqMp
nil
12
ref
13
ref
446
ref
2292
ref
appTerm
431
ref
appTerm
absTerm
appTerm
thm
nil
117
ref
43
ref
62
ref
326
ref
49
ref
constTerm
2313
def
appTerm
appTerm
61
ref
2
ref
47
ref
98
ref
opType
2314
def
4
ref
cons
opType
2315
def
constTerm
2316
def
326
ref
2314
ref
constTerm
2317
def
appTerm
appTerm
2318
def
nil
cons
2319
def
cons
2320
def
119
ref
61
ref
2
ref
47
ref
259
ref
opType
2321
def
4
ref
cons
opType
2322
def
constTerm
2323
def
326
remove
2321
ref
constTerm
2324
def
appTerm
2325
def
nil
cons
2326
def
cons
nil
cons
2327
def
cons
nil
cons
cons
2328
def
136
ref
subst
2328
remove
195
ref
subst
nil
2320
ref
119
ref
104
ref
"d"
97
ref
var
2329
def
2323
ref
"Set.fromPredicate"
const
2330
def
2
ref
255
ref
2321
ref
nil
cons
2331
def
cons
opType
constTerm
2332
def
"v"
245
ref
var
2333
def
450
ref
256
remove
constTerm
2334
def
246
ref
43
ref
1715
ref
2333
ref
varTerm
appTerm
2335
def
247
ref
appTerm
2336
def
appTerm
2337
def
43
ref
12
ref
13
ref
7
ref
79
ref
2313
ref
appTerm
2338
def
appTerm
76
ref
2
ref
97
ref
2315
ref
nil
cons
2339
def
cons
opType
constTerm
2340
def
248
ref
appTerm
2341
def
2317
ref
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
19
ref
2338
ref
appTerm
appTerm
108
ref
248
ref
appTerm
2342
def
2329
ref
varTerm
2343
def
appTerm
2344
def
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2345
def
appTerm
absTerm
appTerm
nil
cons
2346
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
"t"
2314
ref
var
2347
def
2317
ref
nil
cons
cons
60
ref
2313
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2348
def
2347
ref
7
ref
498
ref
2316
ref
2347
ref
varTerm
2349
def
appTerm
2350
def
appTerm
2351
def
appTerm
2352
def
104
ref
2329
ref
2323
ref
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
630
ref
2341
ref
2349
ref
appTerm
2353
def
appTerm
2354
def
absTerm
2355
def
appTerm
2356
def
appTerm
2357
def
12
ref
13
ref
633
ref
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2358
def
appTerm
2359
def
absTerm
2360
def
appTerm
2361
def
appTerm
2362
def
absTerm
2363
def
2349
ref
appTerm
2364
def
betaConv
60
ref
8
ref
2
ref
2315
ref
4
ref
cons
opType
constTerm
2365
def
2363
ref
appTerm
2366
def
absTerm
2367
def
63
ref
appTerm
2368
def
betaConv
nil
104
ref
2329
ref
59
ref
60
ref
2365
ref
2347
ref
2352
ref
2359
ref
appTerm
absTerm
2369
def
appTerm
2370
def
absTerm
2371
def
appTerm
2372
def
absTerm
2373
def
appTerm
2374
def
axiom
nil
117
ref
2374
remove
nil
cons
2375
def
cons
2376
def
119
ref
59
ref
2367
ref
appTerm
nil
cons
2377
def
cons
nil
cons
cons
nil
cons
cons
2378
def
187
ref
subst
proveHyp
2378
ref
136
ref
subst
2378
remove
195
ref
subst
nil
512
ref
2367
remove
nil
cons
cons
2379
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2366
remove
nil
cons
2380
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
"P"
2315
ref
var
2381
def
2363
remove
nil
cons
cons
2382
def
nil
cons
nil
cons
cons
"A"
2314
ref
nil
cons
2383
def
cons
nil
cons
2384
def
96
ref
cons
2385
def
370
ref
subst
2386
def
subst
2347
ref
nil
149
ref
2362
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2351
remove
nil
cons
2387
def
cons
2388
def
119
ref
2361
remove
nil
cons
2389
def
cons
nil
cons
cons
nil
cons
cons
2390
def
136
ref
subst
2390
remove
195
ref
subst
nil
"P"
102
ref
var
2391
def
2360
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
98
ref
cons
2392
def
nil
cons
2393
def
96
ref
cons
2394
def
370
ref
subst
2395
def
subst
2329
ref
nil
149
ref
2359
ref
nil
cons
2396
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2388
ref
119
ref
2396
ref
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2369
ref
2349
ref
appTerm
2397
def
betaConv
2371
ref
63
ref
appTerm
2398
def
betaConv
2373
ref
2343
ref
appTerm
2399
def
betaConv
nil
2376
remove
119
ref
2399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
2373
remove
nil
cons
cons
"x"
97
ref
var
2400
def
2343
ref
nil
cons
cons
nil
cons
2401
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2372
remove
nil
cons
cons
119
ref
2398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2371
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2370
remove
nil
cons
cons
119
ref
2397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
2369
remove
nil
cons
cons
"x"
2314
ref
var
2402
def
2349
ref
nil
cons
2403
def
cons
nil
cons
2404
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
2387
remove
cons
2405
def
164
ref
2389
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
2375
remove
cons
164
ref
2377
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
2377
remove
cons
119
ref
2368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
2379
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2380
remove
cons
119
ref
2364
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2382
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
nil
117
ref
2346
remove
cons
2327
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
104
ref
refl
2406
def
2329
ref
2323
ref
refl
2407
def
2332
ref
refl
2408
def
2333
ref
2334
ref
refl
2409
def
246
ref
2337
ref
refl
2410
def
306
ref
236
ref
13
ref
235
ref
nil
149
ref
2338
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
13
ref
2338
remove
absTerm
2411
def
23
ref
appTerm
2412
def
betaConv
nil
12
ref
2411
ref
appTerm
2413
def
axiom
nil
117
ref
2413
remove
nil
cons
cons
119
ref
2412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2411
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
2414
def
appThm
nil
2400
ref
248
ref
nil
cons
2415
def
cons
nil
cons
2416
def
nil
cons
cons
2417
def
2394
ref
2414
ref
subst
subst
appThm
1381
ref
trans
absThm
appThm
297
ref
trans
appThm
236
ref
13
ref
235
ref
537
ref
2414
remove
appThm
744
ref
trans
appThm
2344
ref
refl
appThm
nil
149
ref
2344
ref
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
appThm
nil
149
ref
2336
ref
nil
cons
cons
nil
cons
nil
cons
cons
149
ref
120
ref
43
ref
152
ref
appTerm
2418
def
141
ref
appTerm
appTerm
152
ref
appTerm
absTerm
2419
def
152
ref
appTerm
2420
def
betaConv
nil
280
ref
2419
ref
appTerm
2421
def
axiom
nil
117
ref
2421
remove
nil
cons
cons
119
ref
2420
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2419
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2422
def
subst
trans
absThm
appThm
absThm
appThm
2423
def
appThm
absThm
appThm
nil
149
ref
2323
remove
2332
ref
2333
ref
2334
ref
246
ref
2336
remove
absTerm
appTerm
absTerm
appTerm
2424
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2425
def
2394
ref
294
ref
subst
2426
def
subst
trans
appThm
2407
remove
260
ref
96
ref
cons
2427
def
nil
465
ref
2313
ref
appTerm
2330
ref
2
ref
10
ref
67
ref
cons
opType
2428
def
constTerm
2429
def
"v"
9
ref
var
2430
def
451
ref
13
ref
43
ref
22
ref
2430
ref
varTerm
2431
def
appTerm
2432
def
23
ref
appTerm
2433
def
appTerm
2434
def
141
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
axiom
2435
def
subst
2408
ref
2333
ref
2409
ref
262
ref
nil
149
ref
2335
remove
262
ref
varTerm
2436
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2422
ref
subst
absThm
appThm
absThm
appThm
trans
2437
def
appThm
appThm
2425
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
2319
remove
cons
2438
def
164
ref
2326
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
7
ref
2318
remove
appTerm
2439
def
2325
remove
appTerm
thm
nil
188
ref
13
ref
2303
remove
absTerm
2440
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
2311
remove
absThm
eqMp
nil
12
ref
2440
remove
appTerm
thm
298
ref
60
ref
120
ref
64
ref
appTerm
2441
def
refl
1016
ref
516
ref
subst
2442
def
498
ref
refl
2443
def
nil
896
ref
nil
cons
cons
275
ref
subst
2444
def
appThm
594
ref
2422
ref
subst
trans
trans
appThm
nil
284
ref
588
ref
cons
nil
cons
2445
def
nil
cons
cons
1608
ref
subst
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
nil
59
ref
60
ref
2441
ref
447
ref
227
ref
appTerm
2446
def
appTerm
absTerm
appTerm
thm
nil
512
ref
60
ref
120
ref
2249
ref
appTerm
518
ref
appTerm
2447
def
absTerm
2448
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2447
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1569
ref
eqMp
absThm
eqMp
2449
def
nil
59
ref
2448
remove
appTerm
thm
298
ref
60
ref
237
ref
32
ref
nil
117
ref
501
ref
nil
cons
2450
def
cons
119
ref
120
ref
500
ref
appTerm
2451
def
141
ref
appTerm
2452
def
nil
cons
2453
def
cons
nil
cons
cons
nil
cons
cons
2454
def
136
ref
subst
2454
remove
195
ref
subst
238
ref
nil
589
ref
164
ref
500
ref
nil
cons
2455
def
cons
nil
cons
cons
nil
cons
cons
2456
def
436
ref
subst
2457
def
appThm
1101
ref
appThm
nil
348
ref
nil
cons
cons
275
ref
subst
2458
def
trans
eqMp
nil
162
ref
2450
ref
cons
164
ref
2453
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
501
ref
appTerm
2459
def
2452
remove
appTerm
nil
cons
cons
119
ref
120
ref
7
ref
496
ref
appTerm
2460
def
500
ref
appTerm
2461
def
appTerm
2462
def
2459
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
516
ref
nil
117
ref
502
ref
nil
cons
cons
119
ref
7
ref
2459
ref
2451
remove
1450
ref
appTerm
2463
def
appTerm
appTerm
2462
ref
2459
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
2450
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
497
ref
1453
ref
appTerm
appTerm
7
ref
1454
ref
2463
remove
appTerm
appTerm
2462
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
2464
def
1450
ref
appTerm
2465
def
betaConv
1452
ref
280
ref
2464
ref
appTerm
2466
def
absTerm
2467
def
1453
ref
appTerm
2468
def
betaConv
nil
119
ref
2455
ref
cons
1786
ref
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
2467
ref
appTerm
nil
cons
cons
119
ref
2468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2467
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2466
remove
nil
cons
cons
119
ref
2465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
2464
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
2450
ref
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
296
ref
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
nil
59
ref
60
ref
17
ref
32
ref
2461
remove
absTerm
appTerm
absTerm
appTerm
thm
1052
remove
nil
1029
remove
thm
nil
261
ref
246
ref
59
ref
60
ref
65
ref
"Number.Natural.<="
const
30
ref
constTerm
2469
def
220
ref
2
ref
2314
ref
33
ref
cons
opType
constTerm
2470
def
"Set.image"
const
2471
def
2
ref
245
ref
2
ref
49
ref
2383
ref
cons
opType
nil
cons
cons
opType
constTerm
2472
def
247
ref
appTerm
2473
def
63
ref
appTerm
2474
def
appTerm
2475
def
appTerm
2476
def
227
ref
appTerm
2477
def
appTerm
absTerm
2478
def
appTerm
2479
def
absTerm
2480
def
nil
cons
cons
nil
cons
nil
cons
cons
2427
ref
370
ref
subst
2481
def
subst
246
ref
nil
149
ref
2479
remove
nil
cons
2482
def
cons
nil
cons
nil
cons
cons
156
ref
subst
2469
ref
refl
2483
def
2470
ref
refl
2484
def
246
ref
20
ref
2
ref
2314
ref
2339
remove
cons
opType
2485
def
constTerm
2486
def
2473
ref
56
ref
appTerm
2487
def
appTerm
55
ref
2314
ref
constTerm
2488
def
appTerm
absTerm
2489
def
247
ref
appTerm
2490
def
betaConv
nil
257
ref
2489
ref
appTerm
2491
def
axiom
nil
117
ref
2491
remove
nil
cons
cons
119
ref
2490
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
2489
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2492
def
appThm
2394
ref
322
ref
subst
2493
def
trans
2494
def
appThm
322
ref
appThm
331
ref
nil
149
ref
2469
ref
84
ref
appTerm
2495
def
36
ref
appTerm
2496
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
32
ref
2496
remove
absTerm
2497
def
36
ref
appTerm
2498
def
betaConv
nil
17
ref
2497
ref
appTerm
2499
def
axiom
nil
117
ref
2499
remove
nil
cons
cons
119
ref
2498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2497
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
2500
def
subst
trans
sym
155
ref
eqMp
nil
117
ref
2469
ref
2470
ref
2487
ref
appTerm
2501
def
appTerm
222
ref
appTerm
2502
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
2477
ref
appTerm
965
ref
appTerm
2503
def
appTerm
2469
ref
2470
ref
2473
ref
72
ref
appTerm
2504
def
appTerm
2505
def
appTerm
225
ref
appTerm
2506
def
appTerm
2507
def
absTerm
2508
def
appTerm
2509
def
absTerm
2510
def
appTerm
2511
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
2510
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
2509
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
2508
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2507
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2503
remove
nil
cons
2512
def
cons
119
ref
2506
remove
nil
cons
2513
def
cons
nil
cons
cons
nil
cons
cons
2514
def
136
ref
subst
2514
remove
195
ref
subst
nil
162
ref
2477
ref
nil
cons
2515
def
cons
995
ref
cons
nil
cons
cons
2516
def
178
ref
subst
2516
remove
436
ref
subst
998
ref
999
ref
2483
ref
2484
ref
60
ref
2486
ref
2504
ref
appTerm
66
ref
2
ref
97
ref
2
ref
2314
ref
2383
ref
cons
opType
nil
cons
2517
def
cons
opType
constTerm
2518
def
248
ref
appTerm
2474
ref
appTerm
2519
def
appTerm
absTerm
2520
def
63
ref
appTerm
2521
def
betaConv
13
ref
59
ref
2520
ref
appTerm
2522
def
absTerm
2523
def
23
ref
appTerm
2524
def
betaConv
246
ref
12
ref
2523
ref
appTerm
2525
def
absTerm
2526
def
247
ref
appTerm
2527
def
betaConv
nil
257
ref
2526
ref
appTerm
2528
def
axiom
nil
117
ref
2528
remove
nil
cons
cons
119
ref
2527
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
2526
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2525
remove
nil
cons
cons
119
ref
2524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2523
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2522
remove
nil
cons
cons
119
ref
2521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2520
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2529
def
appThm
2530
def
nil
625
ref
119
ref
2316
ref
2474
ref
appTerm
2531
def
nil
cons
2532
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
60
ref
65
ref
2531
ref
appTerm
absTerm
2533
def
63
ref
appTerm
2534
def
betaConv
246
ref
59
ref
2533
ref
appTerm
2535
def
absTerm
2536
def
247
ref
appTerm
2537
def
betaConv
nil
257
ref
2536
ref
appTerm
2538
def
axiom
nil
117
ref
2538
remove
nil
cons
cons
119
ref
2537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
2536
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2535
remove
nil
cons
cons
119
ref
2534
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2533
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2539
def
eqMp
2540
def
nil
117
ref
2532
ref
cons
2541
def
119
ref
31
ref
2470
ref
2519
remove
appTerm
appTerm
75
ref
2341
ref
2474
ref
appTerm
2542
def
appTerm
2475
ref
appTerm
35
ref
2475
ref
appTerm
2543
def
appTerm
2544
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"s"
2314
ref
var
2545
def
2474
ref
nil
cons
2546
def
cons
2547
def
2416
ref
cons
nil
cons
cons
2394
ref
1004
ref
subst
2548
def
subst
eqMp
2549
def
trans
appThm
nil
625
ref
119
ref
229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1004
ref
eqMp
1014
ref
trans
2550
def
appThm
sym
166
ref
"_11745"
0
ref
var
2551
def
2469
ref
2551
remove
varTerm
appTerm
228
ref
appTerm
absTerm
2552
def
2544
ref
appTerm
betaConv
appThm
306
ref
7
ref
2542
ref
appTerm
2553
def
refl
2554
def
2552
ref
2475
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
2542
ref
appTerm
2555
def
appTerm
2556
def
refl
2557
def
2552
ref
2543
ref
appTerm
betaConv
appThm
appThm
appThm
nil
635
remove
2543
ref
nil
cons
cons
637
remove
2475
ref
nil
cons
2558
def
cons
639
ref
2542
ref
nil
cons
2559
def
cons
nil
cons
cons
cons
nil
cons
cons
2560
def
nil
641
ref
2552
remove
nil
cons
cons
nil
cons
nil
cons
cons
674
ref
subst
subst
eqMp
sym
nil
117
ref
2559
ref
cons
2561
def
119
ref
2476
ref
228
ref
appTerm
2562
def
nil
cons
2563
def
cons
nil
cons
2564
def
cons
nil
cons
cons
2565
def
136
ref
subst
2565
remove
195
ref
subst
nil
32
ref
1012
ref
cons
379
ref
2558
ref
cons
nil
cons
2566
def
cons
nil
cons
cons
2567
def
32
ref
120
ref
"Number.Natural.<"
const
30
remove
constTerm
2568
def
382
ref
appTerm
2569
def
36
ref
appTerm
2570
def
appTerm
2571
def
2469
ref
383
ref
appTerm
2572
def
36
ref
appTerm
2573
def
appTerm
2574
def
absTerm
2575
def
36
ref
appTerm
2576
def
betaConv
379
ref
17
ref
2575
ref
appTerm
2577
def
absTerm
2578
def
382
ref
appTerm
2579
def
betaConv
237
ref
379
ref
237
ref
32
ref
2574
remove
assume
sym
120
ref
2573
remove
appTerm
2570
ref
appTerm
2580
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
17
ref
379
ref
17
ref
32
ref
2580
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
17
ref
2578
ref
appTerm
nil
cons
cons
119
ref
2579
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2578
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2577
remove
nil
cons
cons
119
ref
2576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2575
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2581
def
subst
nil
1015
ref
2566
ref
cons
nil
cons
cons
2582
def
32
ref
120
ref
2572
remove
37
ref
appTerm
appTerm
2469
ref
382
ref
appTerm
2583
def
36
ref
appTerm
2584
def
appTerm
absTerm
2585
def
36
ref
appTerm
2586
def
betaConv
379
ref
17
ref
2585
ref
appTerm
2587
def
absTerm
2588
def
382
ref
appTerm
2589
def
betaConv
nil
17
ref
2588
ref
appTerm
2590
def
axiom
nil
117
ref
2590
remove
nil
cons
cons
119
ref
2589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2588
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2587
remove
nil
cons
cons
119
ref
2586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2585
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2591
def
subst
nil
149
ref
2515
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
2592
def
2477
ref
assume
eqMp
trans
2593
def
trans
sym
155
ref
eqMp
nil
117
ref
2568
ref
2475
ref
appTerm
2594
def
228
ref
appTerm
nil
cons
cons
2564
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
2567
remove
32
ref
7
ref
2570
ref
appTerm
2595
def
2584
ref
appTerm
absTerm
2596
def
36
ref
appTerm
2597
def
betaConv
379
ref
17
ref
2596
ref
appTerm
2598
def
absTerm
2599
def
382
ref
appTerm
2600
def
betaConv
nil
17
ref
2599
ref
appTerm
2601
def
axiom
nil
117
ref
2601
remove
nil
cons
cons
119
ref
2600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2599
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2598
remove
nil
cons
cons
119
ref
2597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2596
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
162
ref
2559
ref
cons
2602
def
164
ref
2563
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
2553
ref
2562
remove
appTerm
nil
cons
cons
119
ref
2556
ref
2469
ref
2543
ref
appTerm
228
ref
appTerm
2603
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
2555
remove
nil
cons
2604
def
cons
2605
def
119
ref
2603
remove
nil
cons
2606
def
cons
nil
cons
cons
nil
cons
cons
2607
def
136
ref
subst
2607
remove
195
ref
subst
2593
remove
sym
155
ref
eqMp
eqMp
nil
162
ref
2604
remove
cons
2608
def
164
ref
2606
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
2512
remove
cons
164
ref
2513
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
2502
remove
appTerm
2511
remove
appTerm
nil
cons
cons
119
ref
2482
ref
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
2477
ref
absTerm
2609
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
2609
ref
63
ref
appTerm
betaConv
2610
def
appThm
1033
ref
appThm
appThm
2609
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
2610
remove
appThm
absThm
appThm
appThm
nil
1034
ref
2609
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
2611
def
eqMp
absThm
eqMp
nil
257
ref
2480
remove
appTerm
thm
nil
"s"
47
ref
33
ref
opType
2612
def
var
2613
def
2330
ref
2
ref
15
remove
2612
ref
nil
cons
2614
def
cons
opType
constTerm
2615
def
"v"
0
ref
var
2616
def
886
ref
379
ref
43
ref
31
ref
2616
ref
varTerm
appTerm
382
ref
appTerm
appTerm
2617
def
2569
ref
84
ref
appTerm
2618
def
appTerm
absTerm
appTerm
absTerm
appTerm
2619
def
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
1569
ref
subst
subst
20
ref
2
ref
2612
ref
2
ref
2612
ref
4
ref
cons
opType
2620
def
nil
cons
2621
def
cons
opType
constTerm
2622
def
refl
2623
def
nil
2622
ref
2619
ref
appTerm
55
ref
2612
ref
constTerm
2624
def
appTerm
axiom
appThm
2624
ref
refl
appThm
nil
"x"
2612
ref
var
2625
def
2624
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
2614
ref
cons
nil
cons
2626
def
96
ref
cons
274
ref
subst
2627
def
subst
trans
trans
sym
155
ref
eqMp
nil
117
ref
323
ref
2
ref
2612
ref
29
ref
cons
opType
constTerm
2628
def
2619
remove
appTerm
84
ref
appTerm
2629
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
2628
ref
2615
ref
2616
ref
886
ref
379
ref
2617
ref
2570
ref
appTerm
absTerm
appTerm
absTerm
appTerm
2630
def
appTerm
36
ref
appTerm
2631
def
appTerm
2628
ref
2615
ref
2616
ref
886
ref
379
ref
2617
ref
2569
ref
37
ref
appTerm
2632
def
appTerm
absTerm
appTerm
absTerm
appTerm
2633
def
appTerm
37
ref
appTerm
2634
def
appTerm
2635
def
absTerm
2636
def
appTerm
2637
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
2636
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
2635
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2631
ref
nil
cons
2638
def
cons
119
ref
2634
remove
nil
cons
2639
def
cons
nil
cons
cons
nil
cons
cons
2640
def
136
ref
subst
2640
remove
195
ref
subst
nil
2613
ref
2633
ref
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
1533
ref
subst
subst
1780
ref
"a"
0
ref
var
2641
def
450
ref
2
ref
2620
ref
4
ref
cons
opType
constTerm
2642
def
refl
"t"
2612
ref
var
2643
def
43
ref
2628
ref
2643
ref
varTerm
2644
def
appTerm
36
ref
appTerm
appTerm
2645
def
refl
43
ref
19
ref
76
ref
2
ref
0
ref
2621
remove
cons
opType
constTerm
2646
def
2641
ref
varTerm
2647
def
appTerm
2644
ref
appTerm
appTerm
appTerm
2648
def
refl
2623
remove
32
ref
2622
ref
2633
remove
appTerm
66
ref
2
ref
0
ref
2
ref
2612
ref
2614
remove
cons
opType
nil
cons
cons
opType
constTerm
2649
def
36
ref
appTerm
2650
def
2630
ref
appTerm
2651
def
appTerm
absTerm
2652
def
36
ref
appTerm
2653
def
betaConv
nil
17
ref
2652
ref
appTerm
2654
def
axiom
nil
117
ref
2654
remove
nil
cons
cons
119
ref
2653
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2652
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
2649
remove
2647
ref
appTerm
2644
ref
appTerm
2655
def
refl
appThm
appThm
appThm
absThm
appThm
absThm
appThm
trans
sym
2641
ref
2642
remove
2643
ref
2645
ref
2648
remove
2622
remove
2651
ref
appTerm
2656
def
2655
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2657
def
36
ref
appTerm
betaConv
sym
2643
remove
2645
remove
43
ref
19
ref
2646
remove
36
ref
appTerm
2658
def
2644
ref
appTerm
appTerm
appTerm
2656
remove
2650
remove
2644
remove
appTerm
appTerm
appTerm
appTerm
absTerm
2659
def
2630
ref
appTerm
betaConv
sym
306
ref
nil
149
ref
2638
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
2660
def
2631
ref
assume
eqMp
appThm
306
ref
537
ref
166
ref
2658
remove
refl
2615
ref
refl
2661
def
2616
ref
1780
ref
379
ref
2617
ref
refl
2662
def
379
ref
2570
ref
absTerm
2663
def
382
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2663
ref
36
ref
appTerm
betaConv
appThm
nil
409
ref
2663
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
272
ref
13
ref
120
ref
79
ref
2429
ref
2430
ref
451
ref
14
ref
43
ref
2432
ref
25
ref
appTerm
appTerm
652
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
651
ref
appTerm
absTerm
2664
def
23
ref
appTerm
2665
def
betaConv
197
ref
12
ref
2664
ref
appTerm
2666
def
absTerm
2667
def
199
ref
appTerm
2668
def
betaConv
nil
664
ref
2667
ref
appTerm
2669
def
axiom
nil
117
ref
2669
remove
nil
cons
cons
119
ref
2668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
2667
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2666
remove
nil
cons
cons
119
ref
2665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2664
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2670
def
subst
subst
eqMp
32
ref
19
ref
2568
ref
36
ref
appTerm
2671
def
36
ref
appTerm
2672
def
appTerm
2673
def
absTerm
2674
def
36
ref
appTerm
2675
def
betaConv
nil
17
ref
2674
ref
appTerm
2676
def
axiom
nil
117
ref
2676
remove
nil
cons
cons
119
ref
2675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2674
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2673
remove
nil
cons
cons
119
ref
120
ref
2672
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
2672
ref
nil
cons
2677
def
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
2678
def
trans
appThm
566
ref
trans
appThm
nil
2625
ref
2651
remove
nil
cons
cons
nil
cons
nil
cons
cons
2627
remove
subst
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
2626
remove
"P"
2620
ref
var
2659
remove
nil
cons
cons
2625
remove
2630
ref
nil
cons
2679
def
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
210
ref
211
ref
2657
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
162
ref
2638
remove
cons
164
ref
2639
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
2629
remove
appTerm
2637
remove
appTerm
nil
cons
cons
119
ref
17
ref
32
ref
2631
remove
absTerm
2680
def
appTerm
2681
def
nil
cons
2682
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
2680
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
2680
ref
36
ref
appTerm
2683
def
betaConv
2684
def
appThm
2680
ref
37
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
2684
ref
absThm
appThm
appThm
nil
409
ref
2680
remove
nil
cons
2685
def
cons
nil
cons
nil
cons
cons
416
ref
subst
eqMp
eqMp
2686
def
nil
2681
remove
thm
nil
2320
ref
119
ref
31
ref
220
ref
2
ref
2321
ref
33
ref
cons
opType
constTerm
2687
def
2324
ref
appTerm
appTerm
"Number.Natural.^"
const
74
ref
constTerm
2688
def
2470
ref
2317
ref
appTerm
appTerm
221
ref
2313
ref
appTerm
appTerm
2689
def
appTerm
2690
def
nil
cons
2691
def
cons
nil
cons
2692
def
cons
nil
cons
cons
2693
def
136
ref
subst
2693
remove
195
ref
subst
nil
2320
remove
119
ref
104
ref
2329
ref
31
ref
2687
ref
2345
ref
appTerm
appTerm
2689
remove
appTerm
absTerm
appTerm
nil
cons
2694
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2348
ref
2347
ref
2352
ref
104
ref
2329
ref
31
ref
2687
ref
2358
ref
appTerm
appTerm
2688
ref
2470
ref
2349
ref
appTerm
2695
def
appTerm
227
ref
appTerm
2696
def
appTerm
2697
def
absTerm
2698
def
appTerm
2699
def
appTerm
2700
def
absTerm
2701
def
2349
ref
appTerm
2702
def
betaConv
60
ref
2365
ref
2701
ref
appTerm
2703
def
absTerm
2704
def
63
ref
appTerm
2705
def
betaConv
nil
2391
ref
2329
ref
59
ref
60
ref
2365
ref
2347
ref
2352
ref
2697
ref
appTerm
2706
def
absTerm
2707
def
appTerm
2708
def
absTerm
2709
def
appTerm
2710
def
absTerm
2711
def
nil
cons
cons
2712
def
nil
cons
nil
cons
cons
2395
ref
subst
2329
ref
nil
149
ref
2710
remove
nil
cons
2713
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
2709
ref
nil
cons
cons
2714
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2708
remove
nil
cons
2715
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
2707
ref
nil
cons
cons
2716
def
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
2706
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2388
ref
119
ref
2697
ref
nil
cons
2717
def
cons
nil
cons
2718
def
cons
nil
cons
cons
2719
def
136
ref
subst
2719
ref
195
ref
subst
nil
589
ref
164
ref
2350
ref
nil
cons
2720
def
cons
2721
def
nil
cons
2722
def
cons
nil
cons
cons
2723
def
178
ref
subst
2724
def
2723
remove
436
ref
subst
2725
def
32
ref
7
ref
43
ref
2446
ref
appTerm
2726
def
323
ref
2
ref
2314
ref
29
ref
cons
opType
constTerm
2727
def
2349
ref
appTerm
2728
def
36
ref
appTerm
2729
def
appTerm
appTerm
323
ref
2
ref
2321
ref
29
ref
cons
opType
constTerm
2730
def
2358
ref
appTerm
2731
def
2688
ref
36
ref
appTerm
2732
def
227
ref
appTerm
appTerm
appTerm
absTerm
2733
def
2695
ref
appTerm
2734
def
betaConv
379
ref
17
ref
32
ref
7
ref
43
ref
447
ref
382
ref
appTerm
2735
def
appTerm
2736
def
2729
ref
appTerm
2737
def
appTerm
2738
def
2731
ref
2732
ref
382
ref
appTerm
2739
def
appTerm
2740
def
appTerm
2741
def
absTerm
2742
def
appTerm
2743
def
absTerm
2744
def
227
ref
appTerm
2745
def
betaConv
nil
211
ref
2744
ref
nil
cons
cons
2746
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
2743
remove
nil
cons
2747
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
2742
ref
nil
cons
cons
2748
def
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
2741
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
60
ref
2741
remove
absTerm
2749
def
63
ref
appTerm
2750
def
betaConv
2751
def
379
ref
59
ref
2749
ref
appTerm
2752
def
absTerm
2753
def
382
ref
appTerm
2754
def
betaConv
2755
def
298
ref
60
ref
235
ref
1570
remove
2729
ref
refl
2756
def
appThm
appThm
2731
ref
2732
ref
84
ref
appTerm
2757
def
appTerm
2758
def
refl
appThm
absThm
appThm
sym
nil
512
ref
60
ref
7
ref
1586
remove
2729
ref
appTerm
2759
def
appTerm
2758
ref
appTerm
2760
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2760
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2759
remove
nil
cons
2761
def
cons
119
ref
2758
ref
nil
cons
2762
def
cons
nil
cons
cons
nil
cons
cons
2763
def
136
ref
subst
2763
remove
195
ref
subst
nil
541
ref
164
ref
2729
ref
nil
cons
2764
def
cons
nil
cons
2765
def
cons
nil
cons
cons
178
ref
subst
120
ref
"_12468"
49
ref
var
2766
def
2730
ref
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
7
ref
79
ref
2766
remove
varTerm
appTerm
2767
def
appTerm
2353
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
19
ref
2767
remove
appTerm
appTerm
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2757
ref
appTerm
absTerm
2768
def
63
ref
appTerm
2769
def
appTerm
refl
2768
ref
56
ref
appTerm
betaConv
appThm
166
ref
2769
remove
betaConv
appThm
2730
ref
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
7
ref
2258
ref
appTerm
2770
def
2353
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
2259
remove
appTerm
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2771
def
appTerm
2757
remove
appTerm
refl
appThm
trans
2768
remove
refl
1091
ref
appThm
eqMp
sym
2730
ref
refl
2772
def
2347
ref
20
ref
2
ref
2321
ref
2322
remove
nil
cons
2773
def
cons
opType
constTerm
2774
def
2771
remove
appTerm
66
ref
2
ref
245
ref
2
ref
2321
ref
2331
ref
cons
opType
nil
cons
cons
opType
constTerm
13
ref
2343
ref
absTerm
2775
def
appTerm
55
ref
2321
ref
constTerm
appTerm
appTerm
absTerm
2776
def
2349
ref
appTerm
2777
def
betaConv
2329
ref
2365
ref
2776
ref
appTerm
2778
def
absTerm
2779
def
2343
ref
appTerm
2780
def
betaConv
nil
104
ref
2779
ref
appTerm
2781
def
axiom
nil
117
ref
2781
remove
nil
cons
cons
119
ref
2780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
2779
remove
nil
cons
cons
2401
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2778
remove
nil
cons
cons
119
ref
2777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
2776
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
397
ref
379
ref
31
ref
2688
ref
382
ref
appTerm
2782
def
84
ref
appTerm
appTerm
431
ref
appTerm
absTerm
2783
def
382
ref
appTerm
2784
def
betaConv
nil
17
ref
2783
ref
appTerm
2785
def
axiom
nil
117
ref
2785
remove
nil
cons
cons
119
ref
2784
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2783
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
nil
262
ref
2775
remove
nil
cons
cons
nil
cons
nil
cons
cons
2427
ref
2312
remove
subst
subst
trans
sym
155
ref
eqMp
eqMp
proveHyp
eqMp
nil
162
ref
2761
remove
cons
164
ref
2762
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
59
ref
60
ref
7
ref
2250
remove
2729
ref
appTerm
appTerm
2758
remove
appTerm
absTerm
appTerm
2786
def
nil
cons
cons
119
ref
17
ref
379
ref
7
ref
2752
ref
appTerm
59
ref
60
ref
7
ref
43
ref
447
ref
383
ref
appTerm
appTerm
2729
ref
appTerm
appTerm
2731
ref
2732
remove
383
ref
appTerm
2787
def
appTerm
2788
def
appTerm
absTerm
appTerm
2789
def
appTerm
2790
def
absTerm
2791
def
appTerm
2792
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
2791
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
2790
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2752
remove
nil
cons
2793
def
cons
2794
def
119
ref
2789
remove
nil
cons
2795
def
cons
nil
cons
cons
nil
cons
cons
2796
def
136
ref
subst
2796
remove
195
ref
subst
298
ref
60
ref
235
ref
306
ref
nil
32
ref
393
ref
cons
2797
def
nil
cons
nil
cons
cons
2798
def
1533
ref
subst
appThm
2756
remove
appThm
appThm
2788
ref
refl
appThm
absThm
appThm
sym
nil
512
ref
60
ref
7
ref
43
ref
451
ref
452
ref
453
ref
454
ref
43
ref
456
ref
382
ref
appTerm
appTerm
470
ref
appTerm
absTerm
2799
def
appTerm
2800
def
absTerm
2801
def
appTerm
2802
def
appTerm
2729
ref
appTerm
2803
def
appTerm
2788
ref
appTerm
2804
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2804
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2803
remove
nil
cons
2805
def
cons
119
ref
2788
ref
nil
cons
2806
def
cons
nil
cons
2807
def
cons
nil
cons
cons
2808
def
136
ref
subst
2808
remove
195
ref
subst
nil
162
ref
2802
ref
nil
cons
2809
def
cons
2765
ref
cons
nil
cons
cons
2810
def
178
ref
subst
2810
remove
436
ref
subst
nil
117
ref
2809
remove
cons
2807
ref
cons
nil
cons
cons
187
ref
subst
nil
188
ref
452
ref
7
ref
2801
ref
459
ref
appTerm
2811
def
appTerm
2788
ref
appTerm
2812
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
2812
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2811
ref
nil
cons
2813
def
cons
2807
ref
cons
nil
cons
cons
2814
def
136
ref
subst
2814
remove
195
ref
subst
2811
ref
betaConv
2811
remove
assume
eqMp
nil
117
ref
2800
ref
nil
cons
cons
2807
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
"u"
49
ref
var
2815
def
7
ref
2799
ref
2815
ref
varTerm
2816
def
appTerm
2817
def
appTerm
2788
ref
appTerm
2818
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
2815
ref
nil
149
ref
2818
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2817
ref
nil
cons
2819
def
cons
2807
ref
cons
nil
cons
cons
2820
def
136
ref
subst
2820
remove
195
ref
subst
2817
ref
betaConv
2817
remove
assume
eqMp
nil
117
ref
43
ref
446
ref
2816
ref
appTerm
382
ref
appTerm
2821
def
appTerm
2822
def
43
ref
19
ref
460
remove
2816
ref
appTerm
2823
def
appTerm
2824
def
appTerm
466
ref
467
remove
2816
ref
appTerm
2825
def
appTerm
2826
def
appTerm
2827
def
appTerm
nil
cons
2828
def
cons
2807
remove
cons
nil
cons
cons
2829
def
187
ref
subst
proveHyp
2829
ref
136
ref
subst
2829
remove
195
ref
subst
nil
162
ref
2821
ref
nil
cons
2830
def
cons
164
ref
2827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2831
def
178
ref
subst
2831
remove
436
ref
subst
nil
162
ref
2824
ref
nil
cons
2832
def
cons
164
ref
2826
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2833
def
178
ref
subst
2833
remove
436
ref
subst
120
ref
"_12472"
49
ref
var
2834
def
2730
ref
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
7
ref
79
ref
2834
remove
varTerm
appTerm
2835
def
appTerm
2353
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
19
ref
2835
remove
appTerm
appTerm
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2787
ref
appTerm
absTerm
2836
def
63
ref
appTerm
2837
def
appTerm
refl
2836
ref
2825
ref
appTerm
betaConv
appThm
166
ref
2837
remove
betaConv
appThm
2730
ref
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
7
ref
79
ref
2825
remove
appTerm
2838
def
appTerm
2353
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
19
ref
2838
remove
appTerm
appTerm
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2787
ref
appTerm
refl
appThm
trans
2836
remove
refl
2826
remove
assume
appThm
eqMp
sym
2772
ref
nil
60
ref
2816
ref
nil
cons
2839
def
cons
nil
cons
2840
def
nil
cons
cons
2841
def
2347
ref
2774
remove
2332
ref
2333
ref
2334
ref
246
ref
2337
ref
43
ref
12
ref
13
ref
7
ref
79
ref
1578
remove
appTerm
2842
def
appTerm
2353
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
19
ref
2842
ref
appTerm
appTerm
2344
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2471
ref
2
ref
2
ref
"Data.Pair.*"
typeOp
2843
def
97
ref
259
ref
cons
opType
2844
def
259
ref
cons
opType
2845
def
2
ref
47
ref
2844
ref
nil
cons
2846
def
opType
2847
def
2331
remove
cons
opType
nil
cons
cons
opType
constTerm
"select"
const
2848
def
2
ref
2
ref
2845
ref
4
ref
cons
opType
2849
def
2845
ref
nil
cons
2850
def
cons
opType
constTerm
2851
def
"f"
2845
ref
var
2852
def
104
ref
105
ref
257
ref
"g"
245
ref
var
2853
def
1715
ref
2852
ref
varTerm
"Data.Pair.,"
const
2854
def
2
ref
97
ref
2
ref
245
ref
2846
ref
cons
opType
nil
cons
cons
opType
constTerm
2855
def
113
ref
appTerm
2853
ref
varTerm
2856
def
appTerm
2857
def
appTerm
appTerm
13
ref
115
ref
24
ref
459
ref
appTerm
2858
def
appTerm
2859
def
113
ref
appTerm
2860
def
2856
ref
23
ref
appTerm
2861
def
appTerm
absTerm
2862
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2863
def
appTerm
2864
def
"Set.cross"
const
2865
def
2
ref
2314
ref
2
ref
2321
ref
2847
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
2349
ref
appTerm
2866
def
2358
ref
appTerm
appTerm
appTerm
absTerm
2867
def
2349
ref
appTerm
2868
def
betaConv
60
ref
2365
ref
2867
ref
appTerm
2869
def
absTerm
2870
def
63
ref
appTerm
2871
def
betaConv
452
ref
59
ref
2870
ref
appTerm
2872
def
absTerm
2873
def
459
ref
appTerm
2874
def
betaConv
2329
ref
12
ref
2873
ref
appTerm
2875
def
absTerm
2876
def
2343
ref
appTerm
2877
def
betaConv
nil
104
ref
2876
ref
appTerm
2878
def
axiom
nil
117
ref
2878
remove
nil
cons
cons
119
ref
2877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
2876
remove
nil
cons
cons
2401
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2875
remove
nil
cons
cons
119
ref
2874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2873
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2872
remove
nil
cons
cons
119
ref
2871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2870
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2869
remove
nil
cons
cons
119
ref
2868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
2867
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
2787
ref
refl
appThm
sym
166
ref
8
ref
2
ref
2
ref
2844
ref
4
ref
cons
opType
2879
def
4
ref
cons
opType
constTerm
2880
def
refl
2881
def
"x"
2844
ref
var
2882
def
2882
ref
2880
ref
"y"
2844
ref
var
2883
def
7
ref
43
ref
76
ref
2
ref
2844
ref
2
ref
2847
ref
4
ref
cons
opType
nil
cons
cons
opType
constTerm
2884
def
2882
remove
varTerm
2885
def
appTerm
2866
remove
2332
remove
2333
ref
2334
ref
246
ref
2337
remove
43
ref
12
ref
13
ref
7
ref
79
ref
2816
ref
appTerm
2886
def
appTerm
2887
def
2353
ref
appTerm
absTerm
appTerm
2888
def
appTerm
12
ref
13
ref
7
ref
19
ref
2886
remove
appTerm
appTerm
2889
def
2344
remove
appTerm
absTerm
2890
def
appTerm
2891
def
appTerm
2892
def
appTerm
absTerm
appTerm
absTerm
appTerm
2893
def
appTerm
2894
def
appTerm
appTerm
43
ref
2884
ref
2883
ref
varTerm
2895
def
appTerm
2894
ref
appTerm
appTerm
2896
def
1715
ref
2863
ref
2885
ref
appTerm
appTerm
2863
ref
2895
ref
appTerm
2897
def
appTerm
appTerm
appTerm
appTerm
20
ref
2
ref
2844
ref
2879
ref
nil
cons
cons
opType
constTerm
2898
def
2885
ref
appTerm
2895
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2899
def
2885
remove
appTerm
betaConv
absThm
appThm
appThm
2406
ref
"a"
97
ref
var
2900
def
1721
ref
"b"
245
ref
var
2901
def
2899
ref
2855
ref
2900
ref
varTerm
2902
def
appTerm
2901
ref
varTerm
2903
def
appTerm
2904
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
2879
remove
var
2905
def
2899
ref
nil
cons
cons
nil
cons
nil
cons
cons
2392
ref
"B"
259
ref
cons
nil
cons
2906
def
cons
96
ref
cons
2907
def
"p"
2
ref
2843
remove
244
remove
opType
2908
def
4
ref
cons
opType
2909
def
var
2910
def
120
ref
8
ref
2
ref
2909
ref
4
ref
cons
opType
2911
def
constTerm
2912
def
"x"
2908
ref
var
2913
def
2910
remove
varTerm
2914
def
2913
ref
varTerm
2915
def
appTerm
absTerm
appTerm
appTerm
12
ref
452
ref
104
ref
105
ref
2914
ref
2854
remove
2
ref
9
ref
2
ref
97
ref
2908
ref
nil
cons
2916
def
cons
opType
2917
def
nil
cons
cons
opType
constTerm
2918
def
459
ref
appTerm
2919
def
113
ref
appTerm
2920
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2921
def
2914
ref
appTerm
2922
def
betaConv
nil
8
ref
2
ref
2911
ref
4
ref
cons
opType
constTerm
2921
ref
appTerm
2923
def
axiom
nil
117
ref
2923
remove
nil
cons
cons
119
ref
2922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
2909
ref
nil
cons
2924
def
cons
nil
cons
"P"
2911
remove
var
2921
remove
nil
cons
cons
"x"
2909
ref
var
2914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
2925
def
subst
eqMp
2406
ref
2900
ref
1721
ref
2901
ref
166
ref
2881
remove
2883
ref
2883
remove
7
ref
43
ref
2884
remove
2904
ref
appTerm
2894
ref
appTerm
appTerm
2896
remove
1715
ref
2863
ref
2904
ref
appTerm
appTerm
2897
remove
appTerm
appTerm
appTerm
appTerm
2898
remove
2904
ref
appTerm
2895
ref
appTerm
appTerm
absTerm
2926
def
2895
remove
appTerm
betaConv
absThm
appThm
appThm
2406
ref
"a'"
97
ref
var
2927
def
1721
ref
"b'"
245
ref
var
2928
def
2926
ref
2855
remove
2927
ref
varTerm
2929
def
appTerm
2928
ref
varTerm
2930
def
appTerm
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
2905
remove
2926
remove
nil
cons
cons
nil
cons
nil
cons
cons
2925
remove
subst
eqMp
2406
ref
2927
ref
1721
ref
2928
ref
235
ref
306
ref
nil
"t"
2321
ref
var
2893
ref
nil
cons
cons
2931
def
2545
ref
2403
ref
cons
2932
def
"y"
245
ref
var
2933
def
2903
ref
nil
cons
2934
def
cons
2400
ref
2902
ref
nil
cons
2935
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
2907
ref
2347
ref
120
ref
76
ref
2
ref
2908
ref
2
ref
47
ref
2916
ref
opType
2936
def
4
ref
cons
opType
2937
def
nil
cons
2938
def
cons
opType
constTerm
2939
def
2918
ref
23
ref
appTerm
2940
def
"y"
97
ref
var
2941
def
varTerm
2942
def
appTerm
2943
def
appTerm
2865
remove
2
ref
49
ref
2
ref
2314
ref
2936
ref
nil
cons
2944
def
cons
opType
nil
cons
2945
def
cons
opType
constTerm
63
ref
appTerm
2349
ref
appTerm
2946
def
appTerm
appTerm
729
ref
2340
ref
2942
ref
appTerm
2947
def
2349
ref
appTerm
2948
def
appTerm
2949
def
appTerm
absTerm
2950
def
2349
ref
appTerm
2951
def
betaConv
60
ref
2365
ref
2950
ref
appTerm
2952
def
absTerm
2953
def
63
ref
appTerm
2954
def
betaConv
2941
ref
59
ref
2953
ref
appTerm
2955
def
absTerm
2956
def
2942
ref
appTerm
2957
def
betaConv
13
ref
104
ref
2956
ref
appTerm
2958
def
absTerm
2959
def
23
ref
appTerm
2960
def
betaConv
nil
12
ref
2959
ref
appTerm
2961
def
axiom
nil
117
ref
2961
remove
nil
cons
cons
119
ref
2960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2959
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2958
remove
nil
cons
cons
119
ref
2957
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
2956
remove
nil
cons
cons
2400
ref
2942
ref
nil
cons
2962
def
cons
nil
cons
2963
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2955
remove
nil
cons
cons
119
ref
2954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2953
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2952
remove
nil
cons
cons
119
ref
2951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
2950
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
2964
def
subst
43
ref
2340
ref
2902
ref
appTerm
2965
def
2349
ref
appTerm
appTerm
2966
def
refl
166
ref
76
ref
2
ref
245
ref
2773
remove
cons
opType
constTerm
2967
def
2903
ref
appTerm
refl
2408
remove
2333
remove
2409
ref
246
ref
2410
remove
246
ref
2892
ref
absTerm
2968
def
247
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
2969
def
appThm
appThm
2968
ref
2903
ref
appTerm
betaConv
appThm
nil
"p"
255
ref
var
2970
def
2968
ref
nil
cons
cons
2971
def
262
ref
2934
ref
cons
nil
cons
cons
nil
cons
cons
2427
ref
2670
ref
subst
2972
def
subst
eqMp
appThm
trans
appThm
306
ref
nil
2931
ref
2932
ref
2933
remove
2930
ref
nil
cons
2973
def
cons
2400
ref
2929
ref
nil
cons
2974
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
2964
remove
subst
43
ref
2340
ref
2929
ref
appTerm
2349
ref
appTerm
appTerm
2975
def
refl
166
ref
2967
remove
2930
ref
appTerm
refl
2969
remove
appThm
appThm
2968
remove
2930
ref
appTerm
betaConv
appThm
nil
2971
remove
262
ref
2973
ref
cons
nil
cons
cons
nil
cons
cons
2972
remove
subst
eqMp
appThm
trans
appThm
1715
ref
refl
2976
def
nil
2853
ref
2934
ref
cons
105
ref
2935
remove
cons
nil
cons
cons
nil
cons
cons
2853
ref
1715
ref
2851
ref
"_12492"
2845
ref
var
2977
def
104
ref
105
ref
257
ref
2853
ref
1715
ref
2977
remove
varTerm
2857
ref
appTerm
appTerm
2862
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2978
def
appTerm
2979
def
2857
ref
appTerm
appTerm
2862
ref
appTerm
absTerm
2980
def
2856
ref
appTerm
2981
def
betaConv
105
ref
257
ref
2980
ref
appTerm
2982
def
absTerm
2983
def
113
ref
appTerm
2984
def
betaConv
2978
ref
2979
remove
appTerm
2985
def
betaConv
2978
ref
"_12490"
2844
ref
var
2986
def
13
ref
2859
ref
2848
ref
2
ref
2
ref
2
ref
2844
remove
98
ref
cons
opType
2987
def
4
ref
cons
opType
2987
ref
nil
cons
cons
opType
constTerm
"fn"
2987
remove
var
2988
def
104
ref
2900
ref
257
ref
2901
ref
108
ref
2988
remove
varTerm
2904
ref
appTerm
appTerm
2902
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2989
def
2986
remove
varTerm
2990
def
appTerm
appTerm
2851
remove
"fn"
2845
ref
var
2991
def
104
ref
2900
ref
257
ref
2901
ref
1715
ref
2991
remove
varTerm
2904
remove
appTerm
appTerm
2903
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2992
def
2990
remove
appTerm
23
ref
appTerm
appTerm
absTerm
absTerm
2993
def
appTerm
betaConv
sym
nil
2391
ref
105
ref
257
ref
2853
ref
1715
ref
2993
ref
2857
ref
appTerm
2994
def
appTerm
2862
remove
appTerm
2995
def
absTerm
2996
def
appTerm
2997
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
105
ref
nil
149
ref
2997
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
2996
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
2853
ref
nil
149
ref
2995
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
2994
remove
betaConv
1715
ref
"_12487"
245
ref
var
2998
def
13
ref
2860
ref
2998
ref
varTerm
23
ref
appTerm
2999
def
appTerm
absTerm
absTerm
2856
ref
appTerm
3000
def
appTerm
refl
2998
ref
13
ref
2859
ref
2989
remove
2857
ref
appTerm
3001
def
appTerm
3002
def
2999
ref
appTerm
absTerm
absTerm
3003
def
2992
remove
2857
remove
appTerm
3004
def
appTerm
betaConv
appThm
2976
remove
3000
remove
betaConv
appThm
13
ref
3002
remove
3004
remove
23
ref
appTerm
appTerm
absTerm
refl
appThm
trans
20
ref
2
ref
2
ref
245
ref
259
remove
cons
opType
3005
def
2
ref
3005
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
3006
def
"_12486"
97
ref
var
3007
def
2998
remove
13
ref
2859
ref
3007
remove
varTerm
appTerm
2999
remove
appTerm
absTerm
absTerm
absTerm
3008
def
113
ref
appTerm
3009
def
appTerm
refl
3008
ref
3001
remove
appTerm
betaConv
appThm
3006
remove
refl
3009
remove
betaConv
appThm
3003
remove
refl
appThm
trans
3008
remove
refl
nil
2901
ref
2856
ref
nil
cons
3010
def
cons
2900
ref
113
ref
nil
cons
3011
def
cons
nil
cons
cons
nil
cons
cons
3012
def
2907
ref
105
ref
22
ref
2848
ref
2
ref
2
ref
2
ref
2908
ref
48
ref
cons
opType
3013
def
4
ref
cons
opType
3014
def
3013
ref
nil
cons
3015
def
cons
opType
constTerm
"fn"
3013
remove
var
3016
def
12
ref
452
ref
104
ref
105
ref
22
ref
3016
ref
varTerm
2920
ref
appTerm
appTerm
3017
def
459
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3018
def
appTerm
3019
def
2920
ref
appTerm
appTerm
459
ref
appTerm
absTerm
3020
def
113
ref
appTerm
3021
def
betaConv
452
ref
104
ref
3020
ref
appTerm
3022
def
absTerm
3023
def
459
ref
appTerm
3024
def
betaConv
3018
ref
3019
remove
appTerm
3025
def
betaConv
450
ref
2
ref
3014
ref
4
ref
cons
opType
constTerm
3026
def
refl
3016
remove
236
ref
452
ref
2406
ref
105
ref
3017
remove
refl
452
ref
105
ref
459
ref
absTerm
3027
def
absTerm
3028
def
459
ref
appTerm
betaConv
113
ref
refl
3029
def
appThm
3027
remove
113
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
48
ref
cons
nil
cons
"_1399"
2
ref
9
ref
2
ref
97
ref
48
ref
cons
opType
3030
def
nil
cons
3031
def
cons
opType
var
3028
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
2
ref
9
ref
2
ref
97
ref
"C"
varType
3032
def
nil
cons
3033
def
cons
opType
nil
cons
cons
opType
3034
def
var
3035
def
452
ref
105
ref
"_1399"
3034
ref
var
varTerm
459
ref
appTerm
113
ref
appTerm
3036
def
absTerm
3037
def
absTerm
3038
def
nil
cons
cons
nil
cons
nil
cons
cons
3035
ref
450
ref
2
ref
2
ref
2
ref
2908
ref
3033
remove
cons
opType
3039
def
4
ref
cons
opType
3040
def
4
ref
cons
opType
3041
def
constTerm
3042
def
"fn"
3039
ref
var
3043
def
12
ref
452
ref
104
ref
105
ref
20
ref
2
ref
3032
ref
2
ref
3032
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
3043
ref
varTerm
3044
def
2920
ref
appTerm
appTerm
3045
def
3035
remove
varTerm
3046
def
459
ref
appTerm
113
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3047
def
3046
ref
appTerm
3048
def
betaConv
nil
8
ref
2
ref
2
ref
3034
ref
4
ref
cons
opType
3049
def
4
ref
cons
opType
constTerm
3047
ref
appTerm
3050
def
axiom
nil
117
ref
3050
remove
nil
cons
cons
119
ref
3048
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
3034
ref
nil
cons
cons
nil
cons
"P"
3049
remove
var
3047
remove
nil
cons
cons
"x"
3034
remove
var
3046
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
117
ref
3042
ref
3043
ref
12
ref
452
ref
104
ref
105
ref
3045
ref
3038
remove
459
ref
appTerm
3051
def
113
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3052
def
absTerm
3053
def
appTerm
3054
def
nil
cons
cons
119
ref
3042
remove
3043
ref
12
ref
452
ref
104
ref
105
ref
3045
ref
3036
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3055
def
appTerm
3056
def
nil
cons
3057
def
cons
nil
cons
3058
def
cons
nil
cons
cons
187
ref
subst
nil
"P"
3040
remove
var
3059
def
3043
ref
7
ref
3053
ref
3044
ref
appTerm
3060
def
appTerm
3056
ref
appTerm
3061
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
3039
ref
nil
cons
cons
nil
cons
3062
def
96
ref
cons
370
ref
subst
subst
3043
remove
nil
149
ref
3061
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3060
ref
nil
cons
3063
def
cons
3058
ref
cons
nil
cons
cons
3064
def
136
ref
subst
3064
remove
195
ref
subst
3060
ref
betaConv
3060
remove
assume
eqMp
nil
117
ref
3052
ref
nil
cons
3065
def
cons
3058
remove
cons
nil
cons
cons
3066
def
187
ref
subst
proveHyp
3066
ref
136
ref
subst
3066
remove
195
ref
subst
3055
ref
3044
ref
appTerm
betaConv
sym
236
ref
452
ref
2406
ref
105
ref
3045
remove
refl
3051
remove
betaConv
3029
ref
appThm
3037
remove
113
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
3052
remove
assume
eqMp
eqMp
3062
ref
3059
ref
3055
remove
nil
cons
cons
"x"
3039
remove
var
3067
def
3044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
nil
162
ref
3065
remove
cons
164
ref
3057
remove
cons
nil
cons
3068
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
3063
remove
cons
3068
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
8
ref
3041
remove
constTerm
3067
ref
7
ref
3053
ref
3067
remove
varTerm
appTerm
appTerm
3056
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
3054
remove
appTerm
3056
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3062
remove
3059
remove
3053
remove
nil
cons
cons
3068
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
3069
def
subst
eqMp
nil
117
ref
3026
remove
3018
ref
appTerm
nil
cons
cons
119
ref
3025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
3015
remove
cons
nil
cons
"p"
3014
remove
var
3018
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
117
ref
451
ref
199
ref
appTerm
3070
def
nil
cons
3071
def
cons
3072
def
119
ref
120
ref
199
ref
2848
ref
2
ref
10
ref
48
ref
cons
opType
constTerm
199
ref
appTerm
appTerm
3073
def
appTerm
3074
def
141
ref
appTerm
3075
def
nil
cons
3076
def
cons
nil
cons
3077
def
cons
nil
cons
cons
3078
def
136
ref
subst
3078
remove
195
ref
subst
1198
ref
nil
1710
remove
670
ref
cons
nil
cons
nil
cons
cons
1713
ref
1723
ref
1716
remove
appTerm
3079
def
betaConv
1725
remove
nil
117
ref
1724
remove
nil
cons
cons
119
ref
3079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
1723
remove
nil
cons
cons
1726
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
149
ref
3071
ref
cons
nil
cons
nil
cons
cons
3080
def
156
ref
subst
3070
ref
assume
eqMp
trans
sym
155
ref
eqMp
nil
117
ref
1206
remove
nil
cons
cons
3077
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
188
ref
670
ref
cons
164
ref
3076
remove
cons
nil
cons
3081
def
cons
nil
cons
cons
nil
917
remove
119
ref
7
ref
451
ref
13
ref
192
ref
absTerm
3082
def
appTerm
3083
def
appTerm
169
ref
appTerm
3084
def
nil
cons
3085
def
cons
nil
cons
3086
def
cons
nil
cons
cons
3087
def
495
ref
subst
3087
ref
136
ref
subst
3087
remove
195
ref
subst
nil
188
ref
13
ref
7
ref
3082
ref
23
ref
appTerm
3088
def
appTerm
169
remove
appTerm
3089
def
absTerm
3090
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
3089
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3088
ref
nil
cons
3091
def
cons
925
ref
cons
nil
cons
cons
3092
def
136
ref
subst
3092
remove
195
ref
subst
nil
"f"
10
ref
var
3093
def
1711
remove
cons
724
ref
cons
nil
cons
cons
1712
remove
264
ref
cons
96
ref
cons
267
remove
subst
subst
3094
def
3088
remove
assume
eqMp
1188
remove
proveHyp
1191
remove
eqMp
eqMp
nil
162
ref
3091
remove
cons
945
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3090
remove
appTerm
nil
cons
cons
3086
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3082
remove
nil
cons
cons
3095
def
945
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
nil
946
remove
164
ref
3085
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1184
remove
3084
ref
appTerm
nil
cons
cons
119
ref
7
ref
3084
ref
appTerm
915
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
3085
ref
cons
119
ref
916
ref
cons
nil
cons
cons
nil
cons
cons
3096
def
136
ref
subst
3096
remove
195
ref
subst
nil
1190
remove
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
913
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1187
ref
136
ref
subst
1187
remove
195
ref
subst
3094
remove
sym
192
remove
assume
eqMp
264
ref
3095
remove
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
3083
remove
nil
cons
cons
925
remove
cons
nil
cons
cons
187
ref
subst
3084
remove
assume
eqMp
proveHyp
eqMp
nil
162
ref
193
remove
cons
945
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
3085
remove
cons
164
ref
916
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
188
ref
13
ref
934
ref
3075
ref
appTerm
3097
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
3097
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
651
ref
nil
cons
3098
def
cons
3099
def
3077
remove
cons
nil
cons
cons
3100
def
136
ref
subst
3100
remove
195
ref
subst
nil
149
ref
3073
ref
nil
cons
3101
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
3099
remove
119
ref
3101
remove
cons
3102
def
nil
cons
cons
nil
cons
cons
187
ref
subst
13
ref
934
ref
3073
ref
appTerm
absTerm
3103
def
23
ref
appTerm
3104
def
betaConv
197
ref
12
ref
3103
ref
appTerm
3105
def
absTerm
3106
def
199
ref
appTerm
3107
def
betaConv
nil
664
ref
3106
ref
appTerm
3108
def
axiom
nil
117
ref
3108
remove
nil
cons
cons
119
ref
3107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
3106
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3105
remove
nil
cons
cons
119
ref
3104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3103
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3098
ref
cons
3081
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3071
ref
cons
3081
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
3070
ref
appTerm
3109
def
3075
remove
appTerm
nil
cons
cons
119
ref
120
ref
3109
ref
3073
remove
appTerm
appTerm
3110
def
3109
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
3070
ref
refl
nil
117
ref
120
ref
3070
ref
appTerm
3111
def
3070
ref
appTerm
nil
cons
cons
119
ref
7
ref
3109
ref
3074
remove
1450
ref
appTerm
3112
def
appTerm
appTerm
3110
ref
3109
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
3071
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
3111
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
3112
remove
appTerm
appTerm
3110
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
3113
def
1450
ref
appTerm
3114
def
betaConv
1452
ref
280
ref
3113
ref
appTerm
3115
def
absTerm
3116
def
1453
ref
appTerm
3117
def
betaConv
nil
3102
remove
3072
remove
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
3116
ref
appTerm
nil
cons
cons
119
ref
3117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3116
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3115
remove
nil
cons
cons
119
ref
3114
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3113
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
3080
remove
287
ref
subst
trans
sym
155
ref
eqMp
3118
def
subst
eqMp
eqMp
nil
117
ref
12
ref
3023
ref
appTerm
nil
cons
cons
119
ref
3024
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3023
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3022
remove
nil
cons
cons
119
ref
3021
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3020
remove
nil
cons
cons
2400
ref
3011
ref
cons
nil
cons
3119
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
3012
remove
2907
ref
105
ref
108
ref
2848
remove
2
ref
2
ref
2
ref
2908
ref
98
ref
cons
opType
3120
def
4
ref
cons
opType
3121
def
3120
ref
nil
cons
3122
def
cons
opType
constTerm
"fn"
3120
remove
var
3123
def
12
ref
452
ref
104
ref
105
ref
108
ref
3123
ref
varTerm
2920
ref
appTerm
appTerm
3124
def
113
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3125
def
appTerm
3126
def
2920
ref
appTerm
appTerm
113
ref
appTerm
absTerm
3127
def
113
ref
appTerm
3128
def
betaConv
452
ref
104
ref
3127
ref
appTerm
3129
def
absTerm
3130
def
459
ref
appTerm
3131
def
betaConv
3125
ref
3126
remove
appTerm
3132
def
betaConv
450
ref
2
ref
3121
ref
4
ref
cons
opType
constTerm
3133
def
refl
3123
remove
236
ref
452
ref
2406
ref
105
ref
3124
remove
refl
452
ref
105
ref
113
ref
absTerm
absTerm
3134
def
459
ref
appTerm
betaConv
3029
ref
appThm
"_12482"
97
ref
var
3135
def
3135
remove
varTerm
absTerm
113
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
98
remove
cons
nil
cons
"_1399"
100
remove
var
3134
remove
nil
cons
cons
nil
cons
nil
cons
cons
3069
remove
subst
eqMp
nil
117
ref
3133
remove
3125
ref
appTerm
nil
cons
cons
119
ref
3132
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
3122
remove
cons
nil
cons
"p"
3121
remove
var
3125
remove
nil
cons
cons
nil
cons
nil
cons
cons
3118
ref
subst
eqMp
eqMp
nil
117
ref
12
ref
3130
ref
appTerm
nil
cons
cons
119
ref
3131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3130
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3129
remove
nil
cons
cons
119
ref
3128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3127
remove
nil
cons
cons
3119
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
2850
remove
cons
nil
cons
3136
def
"P"
2849
ref
var
2978
ref
nil
cons
3137
def
cons
"x"
2845
remove
var
2993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
450
ref
2
ref
2849
ref
4
ref
cons
opType
constTerm
2978
remove
appTerm
nil
cons
cons
119
ref
2985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"p"
2849
remove
var
3137
remove
cons
nil
cons
nil
cons
cons
3136
remove
96
ref
cons
3118
remove
subst
subst
eqMp
eqMp
nil
117
ref
104
ref
2983
ref
appTerm
nil
cons
cons
119
ref
2984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
2983
remove
nil
cons
cons
3119
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2982
remove
nil
cons
cons
119
ref
2981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
2980
remove
nil
cons
cons
262
ref
3010
remove
cons
nil
cons
3138
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3139
def
subst
appThm
nil
2853
ref
2973
remove
cons
3140
def
105
ref
2974
remove
cons
nil
cons
cons
nil
cons
cons
3139
remove
subst
appThm
appThm
appThm
appThm
2907
ref
"b'"
97
ref
var
3141
def
120
ref
20
ref
2
ref
2908
ref
2924
remove
cons
opType
constTerm
3142
def
2920
ref
appTerm
2918
ref
"a'"
9
ref
var
3143
def
varTerm
3144
def
appTerm
3141
ref
varTerm
3145
def
appTerm
appTerm
appTerm
43
ref
2283
ref
3144
ref
appTerm
appTerm
108
ref
113
ref
appTerm
3146
def
3145
ref
appTerm
3147
def
appTerm
appTerm
absTerm
3148
def
3145
ref
appTerm
3149
def
betaConv
3143
ref
104
ref
3148
ref
appTerm
3150
def
absTerm
3151
def
3144
ref
appTerm
3152
def
betaConv
105
ref
12
ref
3151
ref
appTerm
3153
def
absTerm
3154
def
113
ref
appTerm
3155
def
betaConv
452
ref
104
ref
3154
ref
appTerm
3156
def
absTerm
3157
def
459
ref
appTerm
3158
def
betaConv
nil
12
ref
3157
ref
appTerm
3159
def
axiom
nil
117
ref
3159
remove
nil
cons
cons
119
ref
3158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3157
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3156
remove
nil
cons
cons
119
ref
3155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3154
remove
nil
cons
cons
3119
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3153
remove
nil
cons
cons
119
ref
3152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3151
remove
nil
cons
cons
13
ref
3144
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3150
remove
nil
cons
cons
119
ref
3149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3148
remove
nil
cons
cons
2400
ref
3145
ref
nil
cons
3160
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3161
def
subst
appThm
absThm
appThm
absThm
appThm
trans
absThm
appThm
absThm
appThm
trans
sym
2406
ref
2900
ref
1721
ref
2901
ref
2406
ref
2927
ref
1721
ref
2928
ref
235
ref
43
ref
2966
remove
43
ref
12
ref
13
ref
2887
ref
2340
ref
2903
remove
23
ref
appTerm
3162
def
appTerm
2349
ref
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
2889
ref
108
ref
3162
ref
appTerm
3163
def
2343
ref
appTerm
appTerm
absTerm
appTerm
appTerm
3164
def
appTerm
appTerm
refl
43
ref
2975
remove
43
ref
12
ref
13
ref
2887
ref
2340
ref
2930
remove
23
ref
appTerm
3165
def
appTerm
2349
ref
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
2889
ref
108
ref
3165
ref
appTerm
2343
ref
appTerm
appTerm
absTerm
appTerm
appTerm
3166
def
appTerm
appTerm
3167
def
refl
nil
2853
ref
13
ref
2859
ref
2929
ref
appTerm
3165
ref
appTerm
3168
def
absTerm
3169
def
nil
cons
cons
246
ref
13
ref
2859
ref
2902
ref
appTerm
3162
ref
appTerm
absTerm
3170
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
2853
ref
120
ref
1715
remove
247
ref
appTerm
2856
ref
appTerm
3171
def
appTerm
12
ref
13
ref
2342
ref
2861
remove
appTerm
absTerm
appTerm
3172
def
appTerm
absTerm
3173
def
2856
ref
appTerm
3174
def
betaConv
246
ref
257
ref
3173
ref
appTerm
3175
def
absTerm
3176
def
247
ref
appTerm
3177
def
betaConv
1721
ref
246
ref
1721
ref
2853
ref
nil
"y"
3
ref
var
3178
def
3172
ref
nil
cons
cons
284
ref
3171
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
444
remove
14
ref
120
ref
26
ref
appTerm
3179
def
1163
ref
appTerm
absTerm
3180
def
25
ref
appTerm
3181
def
betaConv
13
ref
12
ref
3180
ref
appTerm
3182
def
absTerm
3183
def
23
ref
appTerm
3184
def
betaConv
nil
12
ref
3183
ref
appTerm
3185
def
axiom
nil
117
ref
3185
remove
nil
cons
cons
119
ref
3184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3183
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3182
remove
nil
cons
cons
119
ref
3181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3180
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3186
def
subst
3187
def
subst
absThm
appThm
absThm
appThm
sym
nil
257
ref
246
ref
257
ref
2853
ref
120
ref
3172
remove
appTerm
3171
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
257
ref
3176
ref
appTerm
nil
cons
cons
119
ref
3177
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
3176
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3175
remove
nil
cons
cons
119
ref
3174
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
3173
remove
nil
cons
cons
3138
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3188
def
subst
236
ref
13
ref
108
ref
refl
3189
def
3170
remove
23
ref
appTerm
betaConv
appThm
3169
remove
23
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
appThm
appThm
43
ref
108
ref
2902
ref
appTerm
2929
ref
appTerm
appTerm
refl
nil
3140
remove
246
ref
2934
remove
cons
nil
cons
cons
nil
cons
cons
3188
ref
subst
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
2391
ref
105
ref
257
ref
2901
remove
104
ref
2927
ref
257
ref
2928
ref
7
ref
43
ref
43
ref
2340
ref
113
ref
appTerm
3190
def
2349
ref
appTerm
3191
def
appTerm
3192
def
3164
remove
appTerm
appTerm
3167
ref
12
ref
13
ref
108
ref
2860
ref
3162
remove
appTerm
appTerm
3168
ref
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
43
ref
3146
ref
2929
remove
appTerm
appTerm
3193
def
12
ref
13
ref
3163
remove
3165
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3194
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
105
ref
nil
149
ref
3194
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
246
ref
104
ref
2927
remove
257
ref
2928
ref
7
ref
43
ref
3192
remove
2892
ref
appTerm
3195
def
appTerm
3196
def
3167
remove
12
ref
13
ref
108
ref
2860
remove
248
ref
appTerm
appTerm
3197
def
3168
remove
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
3193
remove
12
ref
13
ref
2342
ref
3165
ref
appTerm
absTerm
appTerm
3198
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3199
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
3199
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2391
ref
3141
ref
257
ref
2928
remove
7
ref
3196
ref
43
ref
43
ref
2340
ref
3145
ref
appTerm
2349
ref
appTerm
3200
def
appTerm
3201
def
3166
remove
appTerm
appTerm
12
ref
13
ref
3197
ref
2859
remove
3145
ref
appTerm
3202
def
3165
remove
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
43
ref
3147
ref
appTerm
3203
def
3198
remove
appTerm
appTerm
absTerm
appTerm
3204
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
3141
ref
nil
149
ref
3204
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
"f'"
245
remove
var
3205
def
7
ref
3196
remove
43
ref
3201
remove
43
ref
12
ref
13
ref
2887
ref
2340
ref
3205
ref
varTerm
3206
def
23
ref
appTerm
3207
def
appTerm
2349
ref
appTerm
appTerm
absTerm
appTerm
3208
def
appTerm
12
ref
13
ref
2889
remove
108
ref
3207
ref
appTerm
2343
ref
appTerm
appTerm
absTerm
3209
def
appTerm
3210
def
appTerm
3211
def
appTerm
3212
def
appTerm
12
ref
13
ref
3197
remove
3202
remove
3207
ref
appTerm
appTerm
3213
def
absTerm
3214
def
appTerm
3215
def
appTerm
3216
def
appTerm
3217
def
appTerm
3203
remove
12
ref
13
ref
2342
ref
3207
ref
appTerm
3218
def
absTerm
3219
def
appTerm
3220
def
appTerm
3221
def
appTerm
3222
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
3205
ref
nil
149
ref
3222
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3217
remove
nil
cons
3223
def
cons
119
ref
3221
remove
nil
cons
3224
def
cons
nil
cons
cons
nil
cons
cons
3225
def
136
ref
subst
3225
remove
195
ref
subst
nil
162
ref
3195
remove
nil
cons
cons
164
ref
3216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3226
def
178
ref
subst
3226
remove
436
ref
subst
nil
162
ref
3191
remove
nil
cons
cons
164
ref
2892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
2888
remove
nil
cons
cons
164
ref
2891
remove
nil
cons
3227
def
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
3212
remove
nil
cons
cons
164
ref
3215
remove
nil
cons
3228
def
cons
nil
cons
cons
nil
cons
cons
3229
def
178
ref
subst
3229
remove
436
ref
subst
nil
162
ref
3200
remove
nil
cons
cons
164
ref
3211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
3208
remove
nil
cons
cons
164
ref
3210
remove
nil
cons
3230
def
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
3214
ref
459
ref
appTerm
3231
def
betaConv
nil
117
ref
3228
remove
cons
3232
def
119
ref
3231
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
3214
ref
nil
cons
cons
3233
def
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
108
ref
115
ref
2283
ref
459
ref
appTerm
appTerm
3234
def
113
ref
appTerm
247
ref
459
ref
appTerm
3235
def
appTerm
appTerm
3234
remove
3145
ref
appTerm
3206
ref
459
ref
appTerm
3236
def
appTerm
appTerm
nil
cons
cons
119
ref
3147
ref
nil
cons
3237
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
3189
ref
nil
"z"
97
ref
var
3238
def
3235
ref
nil
cons
cons
2941
ref
3011
ref
cons
569
ref
cons
cons
nil
cons
cons
115
ref
refl
3239
def
274
ref
appThm
2942
ref
refl
3240
def
appThm
3238
ref
varTerm
3241
def
refl
appThm
nil
"t2"
97
ref
var
3242
def
3241
ref
nil
cons
cons
"t1"
97
ref
var
3243
def
2962
ref
cons
nil
cons
cons
nil
cons
cons
2394
ref
827
ref
subst
subst
trans
3244
def
subst
appThm
nil
3238
ref
3236
ref
nil
cons
cons
2941
ref
3160
ref
cons
569
ref
cons
cons
nil
cons
cons
3244
ref
subst
appThm
appThm
3147
remove
refl
appThm
nil
149
ref
3237
ref
cons
nil
cons
nil
cons
cons
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
117
ref
3237
remove
cons
119
ref
3220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
3219
ref
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
3218
ref
nil
cons
3245
def
cons
nil
cons
nil
cons
cons
3246
def
156
ref
subst
nil
117
ref
19
ref
2858
ref
appTerm
nil
cons
3247
def
cons
3248
def
119
ref
3245
ref
cons
nil
cons
3249
def
cons
nil
cons
cons
3250
def
136
ref
subst
3250
remove
195
ref
subst
3214
remove
23
ref
appTerm
3251
def
betaConv
nil
3232
remove
119
ref
3251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
3233
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3213
remove
nil
cons
cons
3249
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
3189
ref
3239
remove
nil
3248
remove
119
ref
120
ref
2858
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
2858
ref
nil
cons
3252
def
cons
3253
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
3254
def
3029
ref
appThm
248
ref
refl
3255
def
appThm
nil
3242
ref
2415
ref
cons
3243
ref
3011
remove
cons
nil
cons
cons
nil
cons
cons
2394
ref
764
ref
subst
3256
def
subst
trans
appThm
3254
remove
3145
remove
refl
appThm
3207
ref
refl
appThm
nil
3242
remove
3207
remove
nil
cons
cons
3243
remove
3160
remove
cons
nil
cons
cons
nil
cons
cons
3256
remove
subst
trans
appThm
appThm
3218
remove
refl
appThm
3246
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
3247
ref
cons
164
ref
3245
ref
cons
nil
cons
3257
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
3252
ref
cons
3258
def
3249
remove
cons
nil
cons
cons
3259
def
136
ref
subst
3259
remove
195
ref
subst
120
ref
"_12506"
9
ref
var
3260
def
108
ref
247
ref
3260
remove
varTerm
3261
def
appTerm
appTerm
3206
ref
3261
remove
appTerm
appTerm
absTerm
3262
def
23
ref
appTerm
3263
def
appTerm
refl
3262
remove
459
ref
appTerm
betaConv
appThm
166
ref
3263
remove
betaConv
appThm
108
ref
3235
remove
appTerm
3264
def
3236
ref
appTerm
3265
def
refl
3266
def
appThm
trans
3219
remove
refl
2858
ref
assume
3267
def
appThm
eqMp
sym
3209
ref
459
ref
appTerm
3268
def
betaConv
nil
117
ref
3230
remove
cons
119
ref
3268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
3209
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
2824
remove
appTerm
108
ref
3236
ref
appTerm
2343
ref
appTerm
3269
def
appTerm
nil
cons
cons
119
ref
3265
remove
nil
cons
3270
def
cons
nil
cons
3271
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
537
ref
nil
117
ref
2832
remove
cons
3272
def
119
ref
120
ref
2823
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
2823
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
appThm
3269
ref
refl
appThm
nil
149
ref
3269
ref
nil
cons
3273
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
3266
remove
appThm
sym
nil
117
ref
3273
ref
cons
3271
remove
cons
nil
cons
cons
3274
def
136
ref
subst
3274
remove
195
ref
subst
120
ref
"_12530"
97
ref
var
3275
def
3264
ref
3275
remove
varTerm
appTerm
absTerm
3276
def
3236
remove
appTerm
3277
def
appTerm
refl
3276
ref
2343
ref
appTerm
betaConv
appThm
166
ref
3277
remove
betaConv
appThm
3264
remove
2343
ref
appTerm
3278
def
refl
appThm
trans
3276
remove
refl
3269
remove
assume
appThm
eqMp
sym
nil
3272
remove
119
ref
3278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
570
remove
2890
ref
23
ref
appTerm
3279
def
betaConv
nil
117
ref
3227
remove
cons
119
ref
3279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
2890
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
162
ref
3273
remove
cons
164
ref
3270
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3253
ref
3257
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
2858
ref
appTerm
3280
def
betaConv
1117
ref
nil
1118
ref
119
ref
3280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
284
ref
3252
ref
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
3253
ref
164
ref
3247
remove
cons
1064
ref
3245
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3223
remove
cons
164
ref
3224
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
2880
remove
2899
remove
appTerm
3281
def
nil
cons
cons
119
ref
323
ref
2
ref
2847
ref
29
ref
cons
opType
constTerm
2894
ref
appTerm
3282
def
2787
ref
appTerm
3283
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
3282
ref
refl
nil
2797
remove
381
ref
cons
nil
cons
cons
32
ref
31
ref
2782
ref
37
ref
appTerm
appTerm
"Number.Natural.*"
const
74
remove
constTerm
3284
def
382
ref
appTerm
3285
def
2782
remove
36
ref
appTerm
appTerm
appTerm
absTerm
3286
def
36
ref
appTerm
3287
def
betaConv
379
ref
17
ref
3286
ref
appTerm
3288
def
absTerm
3289
def
382
ref
appTerm
3290
def
betaConv
nil
17
ref
3289
ref
appTerm
3291
def
axiom
nil
117
ref
3291
remove
nil
cons
cons
119
ref
3290
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3289
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3288
remove
nil
cons
cons
119
ref
3287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3286
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
sym
306
ref
nil
149
ref
2764
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
2729
ref
assume
eqMp
3292
def
appThm
2730
ref
2893
remove
appTerm
2739
ref
appTerm
3293
def
refl
appThm
nil
149
ref
3293
ref
nil
cons
3294
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
306
ref
nil
149
ref
2830
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
2821
remove
assume
eqMp
appThm
3292
ref
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
2822
remove
2729
ref
appTerm
nil
cons
cons
119
ref
3294
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2841
ref
2751
remove
nil
2794
remove
119
ref
2750
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
3295
def
511
ref
512
ref
2749
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
3296
def
eqMp
eqMp
subst
eqMp
eqMp
nil
117
ref
43
ref
2729
ref
appTerm
3293
remove
appTerm
nil
cons
cons
119
ref
3282
remove
3284
ref
36
ref
appTerm
3297
def
2739
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
32
ref
2739
ref
nil
cons
cons
380
ref
2931
remove
2932
ref
nil
cons
3298
def
cons
cons
cons
nil
cons
cons
2907
remove
32
ref
2738
ref
323
ref
2
ref
2936
ref
29
ref
cons
opType
constTerm
3299
def
2946
ref
appTerm
3285
ref
36
ref
appTerm
3300
def
appTerm
appTerm
absTerm
3301
def
36
ref
appTerm
3302
def
betaConv
379
ref
17
ref
3301
ref
appTerm
3303
def
absTerm
3304
def
382
ref
appTerm
3305
def
betaConv
2347
ref
17
ref
3304
ref
appTerm
3306
def
absTerm
3307
def
2349
ref
appTerm
3308
def
betaConv
60
ref
2365
ref
3307
ref
appTerm
3309
def
absTerm
3310
def
63
ref
appTerm
3311
def
betaConv
298
ref
60
ref
2365
ref
refl
3312
def
2347
ref
237
ref
379
ref
237
ref
32
ref
2738
ref
refl
3299
ref
refl
3313
def
2347
ref
20
ref
2
ref
2936
ref
2938
remove
cons
opType
3314
def
constTerm
3315
def
2946
ref
appTerm
2330
ref
2
ref
2909
ref
2944
ref
cons
opType
constTerm
3316
def
"v"
2908
ref
var
3317
def
451
ref
13
ref
450
ref
103
ref
constTerm
3318
def
2941
ref
43
ref
3142
ref
3317
ref
varTerm
appTerm
3319
def
2943
ref
appTerm
appTerm
3320
def
2949
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3321
def
appTerm
absTerm
3322
def
2349
ref
appTerm
3323
def
betaConv
60
ref
2365
ref
3322
ref
appTerm
3324
def
absTerm
3325
def
63
ref
appTerm
3326
def
betaConv
nil
59
ref
3325
ref
appTerm
3327
def
axiom
nil
117
ref
3327
remove
nil
cons
cons
119
ref
3326
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3325
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3324
remove
nil
cons
cons
119
ref
3323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
3322
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3328
def
appThm
3300
ref
refl
3329
def
appThm
appThm
nil
149
ref
2738
ref
3299
ref
3321
ref
appTerm
3300
ref
appTerm
3330
def
appTerm
3331
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
2737
remove
nil
cons
3332
def
cons
3333
def
119
ref
3330
ref
nil
cons
3334
def
cons
nil
cons
3335
def
cons
nil
cons
cons
3336
def
136
ref
subst
3336
remove
195
ref
subst
nil
162
ref
2735
ref
nil
cons
3337
def
cons
2765
ref
cons
nil
cons
cons
3338
def
178
ref
subst
3338
remove
436
ref
subst
32
ref
7
ref
2736
ref
12
ref
13
ref
630
ref
2727
ref
13
ref
2349
ref
absTerm
3339
def
23
ref
appTerm
3340
def
appTerm
3341
def
36
ref
appTerm
appTerm
absTerm
appTerm
3342
def
appTerm
appTerm
3299
ref
3316
ref
3317
ref
451
ref
13
ref
3318
ref
2941
ref
3320
ref
729
ref
2947
ref
3340
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3343
def
appTerm
3344
def
3300
ref
appTerm
appTerm
3345
def
absTerm
3346
def
36
ref
appTerm
3347
def
betaConv
379
ref
17
ref
3346
ref
appTerm
3348
def
absTerm
3349
def
382
ref
appTerm
3350
def
betaConv
"t"
2
ref
9
ref
2383
ref
cons
opType
3351
def
var
3352
def
17
ref
379
ref
17
ref
32
ref
7
ref
2736
ref
12
ref
13
ref
630
ref
2727
ref
3352
ref
varTerm
3353
def
23
ref
appTerm
3354
def
appTerm
36
ref
appTerm
3355
def
appTerm
3356
def
absTerm
appTerm
3357
def
appTerm
appTerm
3299
ref
3316
ref
3317
ref
451
ref
13
ref
3318
ref
2941
ref
3320
ref
729
ref
2947
ref
3354
ref
appTerm
3358
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3359
def
appTerm
3360
def
3300
ref
appTerm
3361
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3362
def
3339
ref
appTerm
3363
def
betaConv
60
ref
8
ref
2
ref
2
ref
3351
ref
4
ref
cons
opType
3364
def
4
ref
cons
opType
constTerm
3365
def
3362
ref
appTerm
3366
def
absTerm
3367
def
63
ref
appTerm
3368
def
betaConv
298
ref
60
ref
3365
ref
refl
3369
def
3352
ref
237
ref
379
ref
237
ref
32
ref
235
ref
306
ref
2798
remove
516
ref
subst
appThm
3370
def
3357
ref
refl
appThm
appThm
3361
ref
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
nil
1069
ref
3361
ref
nil
cons
cons
119
ref
3357
ref
nil
cons
cons
117
ref
498
ref
499
ref
382
ref
appTerm
3371
def
appTerm
3372
def
nil
cons
3373
def
cons
nil
cons
cons
cons
nil
cons
cons
1069
ref
120
ref
7
ref
127
ref
appTerm
1070
ref
appTerm
3374
def
appTerm
122
ref
1076
ref
appTerm
3375
def
appTerm
3376
def
absTerm
3377
def
1070
ref
appTerm
3378
def
betaConv
119
ref
280
ref
3377
ref
appTerm
3379
def
absTerm
3380
def
123
ref
appTerm
3381
def
betaConv
117
ref
280
ref
3380
ref
appTerm
3382
def
absTerm
3383
def
121
ref
appTerm
3384
def
betaConv
2126
ref
117
ref
2126
ref
119
ref
2126
ref
1069
ref
3376
remove
assume
sym
120
ref
3375
remove
appTerm
3374
remove
appTerm
3385
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
280
ref
117
ref
280
ref
119
ref
280
ref
1069
ref
3385
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
280
ref
3383
ref
appTerm
nil
cons
cons
119
ref
3384
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3383
remove
nil
cons
cons
1607
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3382
remove
nil
cons
cons
119
ref
3381
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3380
remove
nil
cons
cons
1214
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3379
remove
nil
cons
cons
119
ref
3378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3377
remove
nil
cons
cons
284
ref
2104
ref
cons
nil
cons
3386
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3387
def
subst
nil
1069
ref
7
ref
3357
ref
appTerm
3388
def
3361
remove
appTerm
3389
def
nil
cons
cons
119
ref
3371
ref
nil
cons
3390
def
cons
625
ref
nil
cons
3391
def
cons
cons
nil
cons
cons
3387
ref
subst
trans
absThm
appThm
166
ref
237
ref
32
ref
299
ref
32
ref
7
ref
3371
ref
appTerm
3392
def
3389
ref
appTerm
absTerm
3393
def
36
ref
appTerm
betaConv
3394
def
appThm
absThm
appThm
appThm
299
ref
237
ref
32
ref
3394
remove
absThm
appThm
appThm
appThm
nil
1621
ref
3393
remove
nil
cons
cons
3391
ref
cons
nil
cons
cons
272
ref
1623
ref
120
ref
12
ref
13
ref
122
ref
1626
ref
appTerm
absTerm
appTerm
appTerm
122
ref
1629
ref
appTerm
appTerm
absTerm
3395
def
1625
ref
appTerm
3396
def
betaConv
117
ref
664
ref
3395
ref
appTerm
3397
def
absTerm
3398
def
121
ref
appTerm
3399
def
betaConv
nil
280
ref
3398
ref
appTerm
3400
def
axiom
nil
117
ref
3400
remove
nil
cons
cons
119
ref
3399
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3398
remove
nil
cons
cons
1607
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3397
remove
nil
cons
cons
119
ref
3396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
3395
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3401
def
subst
3402
def
subst
eqMp
299
ref
166
ref
237
ref
32
ref
3392
ref
refl
3403
def
32
ref
3389
remove
absTerm
3404
def
36
ref
appTerm
betaConv
3405
def
appThm
absThm
appThm
appThm
3403
remove
237
ref
32
ref
3405
remove
absThm
appThm
appThm
appThm
nil
1621
ref
3404
ref
nil
cons
cons
117
ref
3390
ref
cons
nil
cons
cons
nil
cons
cons
3402
ref
subst
eqMp
appThm
trans
trans
absThm
appThm
166
ref
237
ref
379
ref
299
ref
379
ref
3392
remove
17
ref
3404
remove
appTerm
appTerm
absTerm
3406
def
382
ref
appTerm
betaConv
3407
def
appThm
absThm
appThm
appThm
299
ref
237
ref
379
ref
3407
remove
absThm
appThm
appThm
appThm
nil
1621
ref
3406
ref
nil
cons
3408
def
cons
3391
ref
cons
nil
cons
cons
3402
ref
subst
eqMp
trans
absThm
appThm
166
ref
3369
ref
3352
ref
299
ref
3352
ref
17
ref
3406
ref
appTerm
3409
def
absTerm
3410
def
3353
ref
appTerm
3411
def
betaConv
3412
def
appThm
absThm
appThm
appThm
299
ref
3369
ref
3352
ref
3412
ref
absThm
appThm
appThm
appThm
nil
"q"
3364
ref
var
3413
def
3410
ref
nil
cons
3414
def
cons
3391
ref
cons
nil
cons
cons
"A"
3351
ref
nil
cons
cons
nil
cons
3415
def
96
ref
cons
3416
def
3401
ref
subst
3417
def
subst
eqMp
trans
absThm
appThm
sym
nil
"P"
3364
remove
var
3418
def
3352
ref
17
ref
379
ref
7
ref
223
remove
382
ref
appTerm
3419
def
appTerm
17
ref
32
ref
7
ref
12
ref
13
ref
2770
ref
3355
ref
appTerm
absTerm
appTerm
3420
def
appTerm
3421
def
3299
ref
3316
ref
3317
ref
451
ref
13
ref
3318
ref
2941
ref
3320
ref
43
ref
2258
ref
appTerm
3422
def
3358
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3423
def
appTerm
3300
ref
appTerm
appTerm
absTerm
appTerm
appTerm
3424
def
absTerm
3425
def
appTerm
3426
def
absTerm
3427
def
nil
cons
cons
nil
cons
nil
cons
cons
3416
ref
370
ref
subst
3428
def
subst
3352
ref
nil
149
ref
3426
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
3425
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
3424
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
954
remove
382
ref
refl
3429
def
appThm
3430
def
appThm
237
ref
32
ref
3421
ref
refl
3431
def
3313
ref
3352
ref
3315
ref
3423
remove
appTerm
55
ref
2936
ref
constTerm
3432
def
appTerm
absTerm
3433
def
3353
ref
appTerm
3434
def
betaConv
nil
3365
ref
3433
ref
appTerm
3435
def
axiom
nil
117
ref
3435
remove
nil
cons
cons
119
ref
3434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3415
ref
3418
ref
3433
remove
nil
cons
cons
"x"
3351
ref
var
3436
def
3353
ref
nil
cons
3437
def
cons
nil
cons
3438
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
3329
ref
appThm
appThm
absThm
appThm
appThm
sym
nil
117
ref
1017
ref
382
ref
appTerm
3439
def
nil
cons
3440
def
cons
119
ref
17
ref
32
ref
3421
ref
3299
ref
3432
ref
appTerm
3441
def
3300
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
3442
def
cons
nil
cons
cons
nil
cons
cons
3443
def
136
ref
subst
3443
remove
195
ref
subst
120
ref
"_11852"
0
ref
var
3444
def
17
ref
32
ref
3421
ref
3441
ref
3284
ref
3444
remove
varTerm
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3445
def
382
ref
appTerm
3446
def
appTerm
refl
3445
ref
84
ref
appTerm
betaConv
appThm
166
ref
3446
remove
betaConv
appThm
17
ref
32
ref
3421
remove
3441
ref
3284
ref
84
ref
appTerm
36
ref
appTerm
3447
def
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
3445
remove
refl
3439
ref
assume
sym
3448
def
appThm
eqMp
sym
237
ref
32
ref
3431
remove
3441
remove
refl
32
ref
31
ref
3447
ref
appTerm
84
ref
appTerm
absTerm
3449
def
36
ref
appTerm
3450
def
betaConv
nil
17
ref
3449
ref
appTerm
3451
def
axiom
nil
117
ref
3451
remove
nil
cons
cons
119
ref
3450
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3449
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3452
def
appThm
nil
"s"
2936
ref
var
3453
def
3432
remove
nil
cons
3454
def
cons
nil
cons
nil
cons
cons
"A"
2916
ref
cons
nil
cons
3455
def
96
ref
cons
3456
def
1569
ref
subst
subst
nil
"x"
2936
ref
var
3454
ref
cons
nil
cons
nil
cons
cons
"A"
2944
ref
cons
nil
cons
96
ref
cons
274
ref
subst
subst
trans
trans
appThm
nil
149
ref
3420
ref
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
296
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
3440
remove
cons
3457
def
164
ref
3442
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
117
ref
3365
ref
3427
remove
appTerm
3458
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
3365
ref
3410
remove
appTerm
3459
def
appTerm
965
ref
appTerm
3460
def
appTerm
3365
ref
3352
ref
17
ref
379
ref
7
ref
226
ref
382
ref
appTerm
3461
def
appTerm
17
ref
32
ref
7
ref
12
ref
"x'"
9
ref
var
3462
def
7
ref
78
ref
3462
ref
varTerm
3463
def
appTerm
3464
def
72
ref
appTerm
3465
def
appTerm
3466
def
2727
ref
3353
ref
3463
ref
appTerm
3467
def
appTerm
36
ref
appTerm
3468
def
appTerm
absTerm
3469
def
appTerm
3470
def
appTerm
3471
def
3299
ref
3316
ref
3317
ref
451
ref
3462
ref
3318
ref
2941
ref
43
ref
3319
remove
2918
remove
3463
ref
appTerm
2942
ref
appTerm
appTerm
appTerm
3472
def
43
ref
3465
ref
appTerm
3473
def
2947
ref
3467
ref
appTerm
3474
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
3475
def
3300
ref
appTerm
appTerm
absTerm
appTerm
3476
def
appTerm
3477
def
absTerm
3478
def
appTerm
3479
def
absTerm
3480
def
appTerm
3481
def
appTerm
3482
def
absTerm
3483
def
appTerm
3484
def
absTerm
3485
def
appTerm
3486
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
3485
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
3484
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
3483
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
3482
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3460
remove
nil
cons
3487
def
cons
119
ref
3481
remove
nil
cons
3488
def
cons
nil
cons
cons
nil
cons
cons
3489
def
136
ref
subst
3489
remove
195
ref
subst
nil
162
ref
3459
ref
nil
cons
3490
def
cons
995
ref
cons
nil
cons
cons
3491
def
178
ref
subst
3491
remove
436
ref
subst
998
ref
999
ref
nil
3418
ref
3480
remove
nil
cons
cons
nil
cons
nil
cons
cons
3428
ref
subst
3352
ref
nil
149
ref
3479
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
3478
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
3477
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
31
ref
228
ref
appTerm
3492
def
382
ref
appTerm
3493
def
nil
cons
3494
def
cons
119
ref
120
ref
3476
ref
appTerm
3495
def
3476
ref
appTerm
3496
def
nil
cons
3497
def
cons
nil
cons
cons
nil
cons
cons
3498
def
136
ref
subst
3498
remove
195
ref
subst
3476
ref
refl
eqMp
nil
162
ref
3494
ref
cons
3499
def
164
ref
3497
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
3493
ref
appTerm
3500
def
3496
remove
appTerm
nil
cons
cons
119
ref
120
ref
3477
remove
appTerm
3501
def
3500
ref
3476
ref
appTerm
3502
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
3476
remove
nil
cons
3503
def
cons
nil
cons
nil
cons
cons
238
ref
2550
ref
appThm
3429
ref
appThm
3504
def
nil
117
ref
120
ref
3461
ref
appTerm
3505
def
3493
ref
appTerm
nil
cons
cons
119
ref
7
ref
3500
ref
3495
remove
1450
ref
appTerm
3506
def
appTerm
appTerm
3501
ref
3500
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
3494
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
3505
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
3506
remove
appTerm
appTerm
3501
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
3507
def
1450
ref
appTerm
3508
def
betaConv
1452
ref
280
ref
3507
ref
appTerm
3509
def
absTerm
3510
def
1453
ref
appTerm
3511
def
betaConv
nil
119
ref
3503
remove
cons
117
ref
3461
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
3510
ref
appTerm
nil
cons
cons
119
ref
3511
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3510
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3509
remove
nil
cons
cons
119
ref
3508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3507
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
890
remove
382
ref
appTerm
3512
def
betaConv
893
remove
nil
894
remove
119
ref
3512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
895
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
889
remove
nil
cons
3513
def
cons
119
ref
3502
ref
nil
cons
3514
def
cons
nil
cons
3515
def
cons
nil
cons
cons
3516
def
187
ref
subst
proveHyp
3516
ref
136
ref
subst
3516
remove
195
ref
subst
nil
211
ref
"m'"
0
ref
var
3517
def
7
ref
887
ref
3517
ref
varTerm
3518
def
appTerm
3519
def
appTerm
3502
ref
appTerm
3520
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
3517
remove
nil
149
ref
3520
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3519
ref
nil
cons
3521
def
cons
3515
ref
cons
nil
cons
cons
3522
def
136
ref
subst
3522
remove
195
ref
subst
3519
ref
betaConv
3519
remove
assume
eqMp
nil
117
ref
884
ref
35
ref
3518
ref
appTerm
3523
def
appTerm
3524
def
nil
cons
3525
def
cons
3515
ref
cons
nil
cons
cons
3526
def
187
ref
subst
proveHyp
3526
ref
136
ref
subst
3526
remove
195
ref
subst
120
ref
"_11862"
0
ref
var
3527
def
7
ref
3492
ref
3527
remove
varTerm
3528
def
appTerm
appTerm
17
ref
32
ref
3471
ref
3475
ref
3284
ref
3528
remove
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3529
def
382
ref
appTerm
3530
def
appTerm
refl
3531
def
3529
ref
3523
ref
appTerm
betaConv
appThm
166
ref
3530
remove
betaConv
appThm
3532
def
7
ref
3492
ref
3523
ref
appTerm
appTerm
17
ref
32
ref
3471
ref
3475
ref
3284
ref
3523
remove
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
3533
def
appTerm
refl
appThm
trans
3529
remove
refl
3534
def
3524
remove
assume
appThm
eqMp
sym
235
ref
nil
32
ref
3518
ref
nil
cons
cons
379
ref
636
ref
cons
nil
cons
3535
def
cons
nil
cons
cons
32
ref
120
ref
777
remove
37
ref
appTerm
appTerm
884
ref
36
ref
appTerm
3536
def
appTerm
absTerm
3537
def
36
ref
appTerm
3538
def
betaConv
379
ref
17
ref
3537
ref
appTerm
3539
def
absTerm
3540
def
382
ref
appTerm
3541
def
betaConv
nil
17
ref
3540
ref
appTerm
3542
def
axiom
nil
117
ref
3542
remove
nil
cons
cons
119
ref
3541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3540
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3539
remove
nil
cons
cons
119
ref
3538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3537
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3543
def
subst
appThm
3533
ref
refl
appThm
sym
nil
117
ref
499
ref
3518
ref
appTerm
3544
def
nil
cons
3545
def
cons
119
ref
3533
remove
nil
cons
3546
def
cons
nil
cons
cons
nil
cons
cons
3547
def
136
ref
subst
3547
remove
195
ref
subst
120
ref
"_11870"
0
ref
var
3548
def
17
ref
32
ref
3471
ref
3475
ref
3284
ref
35
ref
3548
remove
varTerm
appTerm
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3549
def
3518
remove
appTerm
3550
def
appTerm
refl
3549
ref
227
ref
appTerm
betaConv
appThm
166
ref
3550
remove
betaConv
appThm
17
ref
32
ref
3471
ref
3475
ref
3284
ref
228
ref
appTerm
36
ref
appTerm
3551
def
appTerm
3552
def
appTerm
3553
def
absTerm
3554
def
appTerm
refl
appThm
trans
3549
remove
refl
3544
remove
assume
sym
appThm
eqMp
sym
nil
211
ref
3554
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
3553
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3470
ref
nil
cons
3555
def
cons
3556
def
119
ref
3552
remove
nil
cons
3557
def
cons
nil
cons
cons
nil
cons
cons
3558
def
136
ref
subst
3558
remove
195
ref
subst
3313
ref
1155
remove
452
ref
3315
remove
3316
ref
3317
ref
451
ref
13
ref
3318
ref
2941
ref
3320
ref
43
ref
2842
remove
appTerm
3358
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
"Set.union"
const
3559
def
2
ref
2936
ref
2
ref
2936
ref
2944
remove
cons
opType
nil
cons
cons
opType
3560
def
constTerm
3561
def
2471
ref
2
ref
2917
ref
2945
remove
cons
opType
constTerm
3562
def
2919
remove
appTerm
3353
ref
459
ref
appTerm
3563
def
appTerm
appTerm
3359
remove
appTerm
appTerm
absTerm
3564
def
459
ref
appTerm
3565
def
betaConv
3352
ref
12
ref
3564
ref
appTerm
3566
def
absTerm
3567
def
3353
ref
appTerm
3568
def
betaConv
60
ref
3365
ref
3567
ref
appTerm
3569
def
absTerm
3570
def
63
ref
appTerm
3571
def
betaConv
nil
59
ref
3570
ref
appTerm
3572
def
axiom
nil
117
ref
3572
remove
nil
cons
cons
119
ref
3571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3570
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3569
remove
nil
cons
cons
119
ref
3568
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3415
ref
3418
ref
3567
remove
nil
cons
cons
3438
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3566
remove
nil
cons
cons
119
ref
3565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3564
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
3551
ref
refl
3573
def
appThm
sym
3299
ref
3561
remove
3562
remove
2940
ref
appTerm
3354
ref
appTerm
3574
def
appTerm
3316
ref
3317
ref
451
ref
3462
ref
3318
ref
2941
ref
3472
ref
43
ref
3464
ref
63
ref
appTerm
3575
def
appTerm
3576
def
3474
remove
appTerm
3577
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3578
def
appTerm
appTerm
3579
def
refl
3580
def
nil
379
ref
1012
ref
cons
nil
cons
nil
cons
cons
3581
def
32
ref
31
ref
3300
ref
appTerm
3297
ref
382
ref
appTerm
appTerm
absTerm
3582
def
36
ref
appTerm
3583
def
betaConv
379
ref
17
ref
3582
ref
appTerm
3584
def
absTerm
3585
def
382
ref
appTerm
3586
def
betaConv
nil
17
ref
3585
ref
appTerm
3587
def
axiom
nil
117
ref
3587
remove
nil
cons
cons
119
ref
3586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3585
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3584
remove
nil
cons
cons
119
ref
3583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3582
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3588
def
subst
appThm
sym
3580
remove
nil
1015
ref
381
ref
cons
nil
cons
cons
3589
def
32
ref
31
ref
3285
remove
37
ref
appTerm
appTerm
384
ref
3300
ref
appTerm
appTerm
absTerm
3590
def
36
ref
appTerm
3591
def
betaConv
379
ref
17
ref
3590
ref
appTerm
3592
def
absTerm
3593
def
382
ref
appTerm
3594
def
betaConv
nil
17
ref
3593
ref
appTerm
3595
def
axiom
nil
117
ref
3595
remove
nil
cons
cons
119
ref
3594
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3593
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3592
remove
nil
cons
cons
119
ref
3591
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3590
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
sym
2406
ref
2400
ref
2406
ref
2941
ref
235
ref
43
ref
2340
ref
2400
ref
varTerm
3596
def
appTerm
3597
def
3354
ref
appTerm
3598
def
appTerm
3599
def
refl
43
ref
3358
ref
appTerm
3600
def
refl
nil
3141
ref
2962
ref
cons
3143
ref
579
ref
cons
3601
def
105
ref
3596
ref
nil
cons
3602
def
cons
1154
remove
cons
cons
cons
nil
cons
cons
3161
ref
subst
306
ref
274
ref
appThm
108
ref
3596
ref
appTerm
3603
def
2942
ref
appTerm
3604
def
refl
3605
def
appThm
nil
149
ref
3604
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
trans
appThm
appThm
appThm
3605
remove
appThm
absThm
appThm
absThm
appThm
sym
nil
2391
ref
"x'"
97
ref
var
3606
def
104
ref
2941
ref
7
ref
43
ref
2340
ref
3606
ref
varTerm
3607
def
appTerm
3608
def
3354
ref
appTerm
3609
def
appTerm
3600
ref
108
ref
3607
ref
appTerm
3610
def
2942
ref
appTerm
3611
def
appTerm
3612
def
appTerm
3613
def
appTerm
3611
ref
appTerm
3614
def
absTerm
3615
def
appTerm
3616
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
3606
ref
nil
149
ref
3616
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2391
ref
3615
remove
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2941
ref
nil
149
ref
3614
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3613
remove
nil
cons
3617
def
cons
119
ref
3611
remove
nil
cons
3618
def
cons
nil
cons
cons
nil
cons
cons
3619
def
136
ref
subst
3619
remove
195
ref
subst
nil
162
ref
3609
ref
nil
cons
3620
def
cons
164
ref
3612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
3358
remove
nil
cons
cons
164
ref
3618
remove
cons
nil
cons
3621
def
cons
nil
cons
cons
436
ref
subst
proveHyp
eqMp
nil
162
ref
3617
remove
cons
3621
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
104
ref
2400
ref
104
ref
2941
ref
7
ref
3599
remove
3600
remove
3142
ref
2940
ref
3596
ref
appTerm
appTerm
2943
remove
appTerm
appTerm
appTerm
appTerm
3604
ref
appTerm
absTerm
appTerm
absTerm
appTerm
3622
def
nil
cons
cons
119
ref
3355
ref
nil
cons
cons
3623
def
nil
cons
3624
def
cons
nil
cons
cons
195
ref
subst
proveHyp
725
remove
2282
ref
subst
3625
def
1675
ref
274
ref
appThm
3626
def
80
ref
refl
3627
def
appThm
691
ref
1684
ref
subst
trans
trans
3628
def
sym
155
ref
eqMp
nil
117
ref
79
ref
72
ref
appTerm
3629
def
nil
cons
3630
def
cons
3624
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
3462
ref
579
ref
cons
nil
cons
3631
def
nil
cons
cons
3632
def
3469
ref
3463
ref
appTerm
3633
def
betaConv
nil
3556
remove
119
ref
3633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
3469
remove
nil
cons
cons
13
ref
3463
ref
nil
cons
3634
def
cons
nil
cons
3635
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3636
def
subst
eqMp
eqMp
nil
117
ref
43
ref
3622
remove
appTerm
3355
ref
appTerm
nil
cons
cons
119
ref
3299
ref
3574
ref
appTerm
36
ref
appTerm
3637
def
nil
cons
3638
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2545
ref
3354
ref
nil
cons
3639
def
cons
3640
def
"f"
2917
remove
var
2940
remove
nil
cons
cons
3641
def
nil
cons
cons
nil
cons
cons
2392
remove
"B"
2916
remove
cons
nil
cons
cons
96
ref
cons
3642
def
32
ref
7
ref
43
ref
12
ref
13
ref
12
ref
14
ref
7
ref
729
ref
43
ref
78
ref
25
ref
appTerm
3643
def
63
ref
appTerm
3644
def
appTerm
3645
def
2342
ref
249
ref
appTerm
3646
def
appTerm
3647
def
appTerm
3648
def
appTerm
26
ref
appTerm
3649
def
absTerm
3650
def
appTerm
3651
def
absTerm
3652
def
appTerm
3653
def
appTerm
3654
def
496
ref
appTerm
3655
def
appTerm
2727
ref
2474
ref
appTerm
36
ref
appTerm
3656
def
appTerm
absTerm
3657
def
36
ref
appTerm
3658
def
betaConv
60
ref
17
ref
3657
ref
appTerm
3659
def
absTerm
3660
def
63
ref
appTerm
3661
def
betaConv
246
ref
59
ref
3660
ref
appTerm
3662
def
absTerm
3663
def
247
ref
appTerm
3664
def
betaConv
1721
ref
246
ref
298
ref
60
ref
237
ref
32
ref
235
ref
3654
ref
refl
3665
def
516
ref
appThm
appThm
nil
2547
remove
nil
cons
3666
def
nil
cons
cons
3667
def
2394
ref
516
ref
subst
3668
def
subst
3669
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
261
ref
246
ref
59
ref
60
ref
17
ref
32
ref
7
ref
3654
ref
501
ref
appTerm
3670
def
appTerm
43
ref
2531
ref
appTerm
31
ref
2475
ref
appTerm
3671
def
36
ref
appTerm
3672
def
appTerm
3673
def
appTerm
3674
def
absTerm
3675
def
appTerm
3676
def
absTerm
3677
def
appTerm
3678
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
3678
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
3677
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
3676
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
3675
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
3674
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3670
remove
nil
cons
3679
def
cons
119
ref
3673
ref
nil
cons
3680
def
cons
nil
cons
cons
nil
cons
cons
3681
def
136
ref
subst
3681
remove
195
ref
subst
nil
162
ref
3653
ref
nil
cons
3682
def
cons
3683
def
164
ref
2450
remove
cons
nil
cons
cons
nil
cons
cons
3684
def
178
ref
subst
3684
remove
436
ref
subst
2456
remove
178
ref
subst
2457
remove
2540
ref
nil
2541
remove
119
ref
3672
ref
nil
cons
3685
def
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
120
ref
"_11739"
0
ref
var
3686
def
3671
ref
3686
remove
varTerm
appTerm
absTerm
3687
def
36
ref
appTerm
3688
def
appTerm
refl
3687
ref
227
ref
appTerm
betaConv
appThm
166
ref
3688
remove
betaConv
appThm
3671
ref
227
ref
appTerm
3689
def
refl
3690
def
appThm
trans
3687
remove
refl
500
ref
assume
sym
appThm
eqMp
sym
nil
117
ref
3682
ref
cons
3691
def
119
ref
588
ref
cons
nil
cons
3692
def
cons
nil
cons
cons
195
ref
subst
596
remove
eqMp
nil
117
ref
3654
ref
64
ref
appTerm
3693
def
nil
cons
cons
119
ref
3689
ref
nil
cons
3694
def
cons
nil
cons
3695
def
cons
nil
cons
cons
187
ref
subst
3696
def
proveHyp
60
ref
7
ref
3693
remove
appTerm
3689
ref
appTerm
absTerm
3697
def
63
ref
appTerm
3698
def
betaConv
298
ref
60
ref
235
ref
nil
2106
ref
588
ref
cons
2107
ref
3682
ref
cons
nil
cons
cons
nil
cons
cons
2106
ref
120
ref
43
ref
2109
ref
appTerm
3699
def
2111
ref
appTerm
3700
def
appTerm
43
ref
2111
ref
appTerm
3701
def
2109
ref
appTerm
appTerm
absTerm
3702
def
2111
ref
appTerm
3703
def
betaConv
2107
ref
280
ref
3702
ref
appTerm
3704
def
absTerm
3705
def
2109
ref
appTerm
3706
def
betaConv
nil
280
ref
3705
ref
appTerm
3707
def
axiom
nil
117
ref
3707
remove
nil
cons
cons
119
ref
3706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3705
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3704
remove
nil
cons
cons
119
ref
3703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3702
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3708
def
subst
appThm
3690
ref
appThm
absThm
appThm
sym
298
ref
60
ref
nil
1069
ref
3694
ref
cons
119
ref
3682
ref
cons
3709
def
3391
ref
cons
cons
nil
cons
cons
3387
ref
subst
absThm
appThm
sym
7
ref
12
ref
13
ref
12
ref
14
ref
7
ref
3422
ref
43
ref
3643
ref
56
ref
appTerm
3710
def
appTerm
3711
def
3646
ref
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
appTerm
3712
def
appTerm
3713
def
refl
238
ref
2494
remove
appThm
322
ref
appThm
363
ref
trans
appThm
nil
149
ref
3712
remove
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
sym
155
ref
eqMp
nil
117
ref
3713
remove
31
ref
2501
remove
appTerm
222
ref
appTerm
appTerm
3714
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
7
ref
3653
ref
appTerm
3715
def
3689
ref
appTerm
3716
def
appTerm
965
ref
appTerm
3717
def
appTerm
7
ref
12
ref
3462
ref
12
ref
14
ref
7
ref
3473
ref
43
ref
3643
ref
72
ref
appTerm
3718
def
appTerm
3719
def
108
ref
247
ref
3463
ref
appTerm
3720
def
appTerm
3721
def
249
ref
appTerm
3722
def
appTerm
appTerm
3723
def
appTerm
22
ref
3463
ref
appTerm
3724
def
25
ref
appTerm
3725
def
appTerm
absTerm
3726
def
appTerm
3727
def
absTerm
3728
def
appTerm
3729
def
appTerm
31
ref
2505
remove
appTerm
225
ref
appTerm
3730
def
appTerm
3731
def
appTerm
3732
def
absTerm
3733
def
appTerm
3734
def
absTerm
3735
def
appTerm
3736
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
3735
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
3734
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
3733
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
3732
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3717
remove
nil
cons
3737
def
cons
119
ref
3731
remove
nil
cons
3738
def
cons
nil
cons
cons
nil
cons
cons
3739
def
136
ref
subst
3739
remove
195
ref
subst
nil
162
ref
3716
ref
nil
cons
3740
def
cons
995
ref
cons
nil
cons
cons
3741
def
178
ref
subst
3741
remove
436
ref
subst
998
ref
999
ref
nil
117
ref
3729
remove
nil
cons
3742
def
cons
3743
def
119
ref
3730
remove
nil
cons
3744
def
cons
nil
cons
cons
nil
cons
cons
3745
def
136
ref
subst
3745
remove
195
ref
subst
238
ref
2530
remove
appThm
225
ref
refl
appThm
sym
238
ref
2549
remove
appThm
2550
ref
appThm
sym
166
ref
"_11733"
0
ref
var
3746
def
31
ref
3746
remove
varTerm
appTerm
228
ref
appTerm
absTerm
3747
def
2544
remove
appTerm
betaConv
appThm
306
ref
2554
remove
3747
ref
2475
ref
appTerm
betaConv
appThm
appThm
2557
remove
3747
ref
2543
ref
appTerm
betaConv
appThm
appThm
appThm
2560
remove
nil
641
remove
3747
remove
nil
cons
cons
nil
cons
nil
cons
cons
674
remove
subst
subst
eqMp
sym
nil
2561
ref
119
ref
3671
ref
228
ref
appTerm
3748
def
nil
cons
3749
def
cons
nil
cons
cons
nil
cons
cons
3750
def
136
ref
subst
3750
remove
195
ref
subst
nil
2561
remove
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
2559
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
537
ref
nil
2941
ref
2415
ref
cons
nil
cons
nil
cons
cons
246
ref
120
ref
2947
ref
2474
ref
appTerm
3751
def
appTerm
3752
def
451
ref
13
ref
43
ref
108
ref
2942
ref
appTerm
3753
def
248
ref
appTerm
3754
def
appTerm
3755
def
80
ref
appTerm
3756
def
absTerm
3757
def
appTerm
3758
def
appTerm
absTerm
3759
def
247
ref
appTerm
3760
def
betaConv
60
ref
257
ref
3759
ref
appTerm
3761
def
absTerm
3762
def
63
ref
appTerm
3763
def
betaConv
2941
ref
59
ref
3762
ref
appTerm
3764
def
absTerm
3765
def
2942
ref
appTerm
3766
def
betaConv
nil
104
ref
3765
ref
appTerm
3767
def
axiom
nil
117
ref
3767
remove
nil
cons
cons
119
ref
3766
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3765
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3764
remove
nil
cons
cons
119
ref
3763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3762
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3761
remove
nil
cons
cons
119
ref
3760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
3759
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3768
def
subst
appThm
trans
sym
nil
162
ref
451
ref
3462
ref
43
ref
2342
ref
3720
ref
appTerm
3769
def
appTerm
3575
ref
appTerm
3770
def
absTerm
3771
def
appTerm
3772
def
nil
cons
3773
def
cons
nil
cons
nil
cons
cons
1001
ref
subst
nil
188
ref
3462
ref
7
ref
3771
ref
3463
ref
appTerm
3774
def
appTerm
539
ref
appTerm
3775
def
absTerm
3776
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
3775
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3774
ref
nil
cons
3777
def
cons
549
ref
cons
nil
cons
cons
3778
def
136
ref
subst
3778
remove
195
ref
subst
3774
ref
betaConv
3774
remove
assume
eqMp
nil
117
ref
3770
remove
nil
cons
3779
def
cons
549
ref
cons
nil
cons
cons
3780
def
187
ref
subst
proveHyp
3780
ref
136
ref
subst
3780
remove
195
ref
subst
nil
162
ref
3769
ref
nil
cons
cons
164
ref
3575
ref
nil
cons
3781
def
cons
3782
def
nil
cons
3783
def
cons
nil
cons
cons
3784
def
178
ref
subst
3784
remove
436
ref
subst
14
ref
7
ref
43
ref
3629
ref
appTerm
3785
def
3719
ref
3646
ref
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
3786
def
3463
ref
appTerm
3787
def
betaConv
3728
ref
23
ref
appTerm
3788
def
betaConv
nil
3743
ref
119
ref
3788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
3728
ref
nil
cons
cons
3789
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
12
ref
3786
ref
appTerm
nil
cons
cons
119
ref
3787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3786
remove
nil
cons
cons
3635
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
3785
remove
3473
ref
3769
ref
appTerm
appTerm
appTerm
24
ref
3463
ref
appTerm
3790
def
appTerm
nil
cons
3791
def
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
149
ref
3791
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
537
ref
235
ref
306
ref
3625
remove
3626
ref
807
ref
appThm
745
ref
1684
ref
subst
3792
def
trans
trans
appThm
306
ref
nil
723
ref
3635
ref
cons
nil
cons
cons
2282
ref
subst
883
ref
3724
ref
23
ref
appTerm
3793
def
appTerm
refl
nil
149
ref
3781
ref
cons
nil
cons
nil
cons
cons
3794
def
156
ref
subst
3575
ref
assume
eqMp
3795
def
appThm
nil
149
ref
3793
ref
nil
cons
cons
nil
cons
nil
cons
cons
149
ref
120
ref
1113
remove
141
ref
appTerm
appTerm
141
ref
appTerm
absTerm
3796
def
152
ref
appTerm
3797
def
betaConv
nil
280
ref
3796
ref
appTerm
3798
def
axiom
nil
117
ref
3798
remove
nil
cons
cons
119
ref
3797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
3796
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3799
def
subst
trans
trans
3800
def
appThm
3801
def
3189
ref
3769
remove
assume
appThm
3720
ref
refl
appThm
nil
2400
ref
3720
ref
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
274
ref
subst
3802
def
subst
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
3790
ref
refl
appThm
nil
149
ref
3790
ref
nil
cons
3803
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
trans
sym
nil
162
ref
3803
ref
cons
3804
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
3803
remove
cons
549
ref
cons
nil
cons
cons
3805
def
136
ref
subst
3805
remove
195
ref
subst
nil
795
remove
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
794
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
691
ref
1605
ref
subst
trans
78
ref
refl
3806
def
3790
ref
assume
appThm
311
ref
appThm
3795
ref
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
3804
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
3779
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
3777
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3776
remove
appTerm
nil
cons
cons
119
ref
7
ref
3772
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3771
ref
nil
cons
cons
3807
def
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3749
ref
cons
nil
cons
nil
cons
cons
560
ref
subst
proveHyp
eqMp
nil
2602
remove
164
ref
3749
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
2553
remove
3748
remove
appTerm
nil
cons
cons
119
ref
2556
remove
31
ref
2543
remove
appTerm
228
ref
appTerm
3808
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
2605
remove
119
ref
3808
remove
nil
cons
3809
def
cons
nil
cons
cons
nil
cons
cons
3810
def
136
ref
subst
3810
remove
195
ref
subst
2582
ref
3543
ref
subst
sym
nil
188
ref
3462
ref
12
ref
14
ref
7
ref
3576
ref
3645
ref
3722
ref
appTerm
3811
def
appTerm
3812
def
appTerm
3725
ref
appTerm
3813
def
absTerm
3814
def
appTerm
3815
def
absTerm
3816
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3817
def
3462
ref
nil
149
ref
3815
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
3814
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
3813
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3812
remove
nil
cons
3818
def
cons
119
ref
3725
ref
nil
cons
3819
def
cons
nil
cons
3820
def
cons
nil
cons
cons
3821
def
136
ref
subst
3821
remove
195
ref
subst
nil
162
ref
3781
ref
cons
3822
def
164
ref
3811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3823
def
178
ref
subst
3823
remove
436
ref
subst
nil
162
ref
3644
ref
nil
cons
3824
def
cons
3825
def
164
ref
3722
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3826
def
178
ref
subst
3826
remove
436
ref
subst
3801
remove
306
ref
nil
723
ref
266
ref
cons
nil
cons
cons
3827
def
2282
ref
subst
3828
def
883
ref
1163
ref
appTerm
3829
def
refl
nil
149
ref
3824
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
3644
ref
assume
3830
def
eqMp
3831
def
appThm
nil
149
ref
1163
ref
nil
cons
3832
def
cons
nil
cons
nil
cons
cons
3799
ref
subst
trans
trans
appThm
3189
ref
3722
ref
assume
appThm
249
ref
refl
3833
def
appThm
nil
2400
ref
249
ref
nil
cons
3834
def
cons
nil
cons
3835
def
nil
cons
cons
3802
ref
subst
3836
def
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
3723
remove
nil
cons
cons
3820
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
3726
ref
25
ref
appTerm
3837
def
betaConv
3728
remove
3463
ref
appTerm
3838
def
betaConv
nil
3743
remove
119
ref
3838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
3789
remove
3635
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3727
remove
nil
cons
cons
119
ref
3837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3726
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3818
remove
cons
164
ref
3819
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
3691
ref
3695
remove
cons
nil
cons
cons
3839
def
187
ref
subst
proveHyp
3716
ref
assume
eqMp
eqMp
eqMp
nil
2608
remove
164
ref
3809
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3742
remove
cons
164
ref
3744
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3737
remove
cons
164
ref
3738
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
3714
remove
appTerm
3736
remove
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
ref
3716
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
3716
remove
absTerm
3840
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
3840
ref
63
ref
appTerm
betaConv
3841
def
appThm
1033
ref
appThm
appThm
3840
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
3841
remove
appThm
absThm
appThm
appThm
nil
1034
ref
3840
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
eqMp
eqMp
3842
def
nil
117
ref
59
ref
3697
ref
appTerm
3843
def
nil
cons
3844
def
cons
119
ref
3698
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3697
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3845
def
eqMp
3846
def
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3679
remove
cons
164
ref
3680
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
3847
def
nil
117
ref
257
ref
3663
ref
appTerm
3848
def
nil
cons
cons
119
ref
3664
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
3663
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3662
remove
nil
cons
cons
119
ref
3661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3660
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3659
remove
nil
cons
cons
119
ref
3658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3657
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3849
def
subst
subst
eqMp
nil
117
ref
3638
remove
cons
119
ref
43
ref
3299
remove
3578
ref
appTerm
3850
def
3297
remove
227
ref
appTerm
3851
def
appTerm
3852
def
appTerm
"Set.disjoint"
const
3853
def
3314
remove
constTerm
3574
ref
appTerm
3578
ref
appTerm
3854
def
appTerm
3855
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
3850
ref
refl
3589
ref
3588
remove
subst
appThm
sym
3406
remove
227
ref
appTerm
3856
def
betaConv
3412
remove
nil
117
ref
3490
remove
cons
119
ref
3411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
3415
ref
3418
ref
3414
remove
cons
3438
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3409
remove
nil
cons
cons
119
ref
3856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3408
remove
cons
896
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
499
ref
227
ref
appTerm
3857
def
appTerm
3858
def
17
ref
32
ref
3388
remove
3360
remove
3284
ref
227
ref
appTerm
3859
def
36
ref
appTerm
3860
def
appTerm
appTerm
absTerm
3861
def
appTerm
3862
def
appTerm
nil
cons
cons
119
ref
3850
remove
3860
ref
appTerm
3863
def
nil
cons
3864
def
cons
nil
cons
3865
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
nil
117
ref
3862
remove
nil
cons
3866
def
cons
3867
def
896
ref
cons
nil
cons
cons
272
ref
235
ref
274
ref
appThm
134
remove
appThm
151
remove
305
ref
subst
trans
3868
def
subst
3869
def
subst
appThm
3863
remove
refl
appThm
sym
nil
3867
ref
3865
ref
cons
nil
cons
cons
3870
def
136
ref
subst
3870
remove
195
ref
subst
nil
188
ref
3462
ref
7
ref
3575
ref
appTerm
3871
def
3468
ref
appTerm
3872
def
absTerm
3873
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
3872
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3781
remove
cons
3874
def
119
ref
3468
ref
nil
cons
3875
def
cons
nil
cons
3876
def
cons
nil
cons
cons
3877
def
136
ref
subst
3877
remove
195
ref
subst
3800
ref
sym
155
ref
eqMp
nil
117
ref
3465
ref
nil
cons
cons
3876
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
3636
remove
eqMp
eqMp
nil
3822
ref
164
ref
3875
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3873
remove
appTerm
nil
cons
cons
3865
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
3861
ref
36
ref
appTerm
3878
def
betaConv
nil
3867
remove
119
ref
3878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
3861
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3866
remove
cons
164
ref
3864
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
117
ref
3852
remove
nil
cons
cons
119
ref
3854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
"t"
2936
ref
var
3879
def
3578
ref
nil
cons
cons
3453
ref
3574
ref
nil
cons
cons
nil
cons
cons
3880
def
nil
cons
cons
3881
def
3456
ref
454
ref
120
ref
3853
ref
464
ref
constTerm
3882
def
63
ref
appTerm
3883
def
455
ref
appTerm
3884
def
appTerm
3885
def
465
ref
"Set.intersect"
const
3886
def
2
ref
49
ref
69
ref
cons
opType
3887
def
constTerm
3888
def
63
ref
appTerm
455
ref
appTerm
3889
def
appTerm
56
ref
appTerm
3890
def
appTerm
absTerm
3891
def
455
ref
appTerm
3892
def
betaConv
60
ref
59
ref
3891
ref
appTerm
3893
def
absTerm
3894
def
63
ref
appTerm
3895
def
betaConv
nil
59
ref
3894
ref
appTerm
3896
def
axiom
nil
117
ref
3896
remove
nil
cons
cons
119
ref
3895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3894
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3893
remove
nil
cons
cons
119
ref
3892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3891
remove
nil
cons
cons
513
ref
1244
ref
cons
nil
cons
3897
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3898
def
subst
subst
nil
3879
remove
3454
remove
cons
3453
ref
3886
remove
3560
remove
constTerm
3574
ref
appTerm
3578
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3456
ref
454
ref
120
ref
466
ref
455
ref
appTerm
3899
def
appTerm
12
ref
13
ref
804
ref
1144
ref
appTerm
absTerm
appTerm
3900
def
appTerm
absTerm
3901
def
455
ref
appTerm
3902
def
betaConv
60
ref
59
ref
3901
ref
appTerm
3903
def
absTerm
3904
def
63
ref
appTerm
3905
def
betaConv
298
ref
60
ref
298
ref
454
ref
nil
3178
ref
3900
ref
nil
cons
cons
284
ref
3899
ref
nil
cons
3906
def
cons
nil
cons
cons
nil
cons
cons
3187
remove
subst
absThm
appThm
absThm
appThm
sym
nil
59
ref
60
ref
59
ref
454
ref
120
ref
3900
remove
appTerm
3899
ref
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
59
ref
3904
ref
appTerm
nil
cons
cons
119
ref
3905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3904
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3903
remove
nil
cons
cons
119
ref
3902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3901
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3907
def
subst
subst
trans
2912
ref
refl
2913
ref
166
ref
3881
remove
3456
ref
13
ref
120
ref
79
ref
3889
ref
appTerm
appTerm
729
ref
1144
ref
appTerm
3908
def
appTerm
absTerm
3909
def
23
ref
appTerm
3910
def
betaConv
454
ref
12
ref
3909
ref
appTerm
3911
def
absTerm
3912
def
455
ref
appTerm
3913
def
betaConv
60
ref
59
ref
3912
ref
appTerm
3914
def
absTerm
3915
def
63
ref
appTerm
3916
def
betaConv
nil
59
ref
3915
ref
appTerm
3917
def
axiom
nil
117
ref
3917
remove
nil
cons
cons
119
ref
3916
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3915
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3914
remove
nil
cons
cons
119
ref
3913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3912
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3911
remove
nil
cons
cons
119
ref
3910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3909
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3918
def
subst
subst
appThm
3456
ref
2263
ref
subst
appThm
nil
149
ref
43
ref
2939
ref
2915
ref
appTerm
3919
def
3574
ref
appTerm
appTerm
3919
remove
3578
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
trans
absThm
appThm
trans
sym
nil
"P"
2909
remove
var
3920
def
"p"
2908
ref
var
3921
def
19
ref
43
ref
2939
ref
3921
ref
varTerm
3922
def
appTerm
3923
def
3574
ref
appTerm
appTerm
3923
remove
3578
ref
appTerm
appTerm
appTerm
3924
def
absTerm
3925
def
nil
cons
cons
nil
cons
nil
cons
cons
3456
ref
370
ref
subst
subst
3921
remove
nil
149
ref
3924
ref
nil
cons
3926
def
cons
nil
cons
nil
cons
cons
156
ref
subst
2913
ref
451
ref
452
ref
3318
ref
105
ref
3142
ref
2915
remove
appTerm
2920
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
3927
def
3922
ref
appTerm
3928
def
betaConv
nil
2912
remove
3927
ref
appTerm
3929
def
axiom
nil
117
ref
3929
remove
nil
cons
cons
119
ref
3928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3455
remove
3920
remove
3927
remove
nil
cons
cons
2913
remove
3922
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
451
ref
452
ref
3318
ref
105
ref
3142
remove
3922
ref
appTerm
2920
ref
appTerm
3930
def
absTerm
3931
def
appTerm
3932
def
absTerm
3933
def
appTerm
3934
def
nil
cons
cons
119
ref
3926
ref
cons
nil
cons
3935
def
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
188
ref
452
ref
7
ref
3933
ref
459
ref
appTerm
3936
def
appTerm
3924
ref
appTerm
3937
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
3937
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3936
ref
nil
cons
3938
def
cons
3935
ref
cons
nil
cons
cons
3939
def
136
ref
subst
3939
remove
195
ref
subst
3936
ref
betaConv
3936
remove
assume
eqMp
nil
117
ref
3932
ref
nil
cons
cons
3935
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2391
ref
105
ref
7
ref
3931
ref
113
ref
appTerm
3940
def
appTerm
3924
ref
appTerm
3941
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
105
ref
nil
149
ref
3941
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3940
ref
nil
cons
3942
def
cons
3935
ref
cons
nil
cons
cons
3943
def
136
ref
subst
3943
remove
195
ref
subst
3940
ref
betaConv
3940
remove
assume
eqMp
nil
117
ref
3930
ref
nil
cons
3944
def
cons
3935
remove
cons
nil
cons
cons
3945
def
187
ref
subst
proveHyp
3945
ref
136
ref
subst
3945
remove
195
ref
subst
120
ref
"_11878"
2908
ref
var
3946
def
19
ref
43
ref
2939
ref
3946
remove
varTerm
appTerm
3947
def
3574
ref
appTerm
appTerm
3947
remove
3578
ref
appTerm
appTerm
appTerm
absTerm
3948
def
3922
remove
appTerm
3949
def
appTerm
refl
3948
remove
2920
ref
appTerm
betaConv
appThm
166
ref
3949
remove
betaConv
appThm
19
ref
43
ref
2939
remove
2920
ref
appTerm
3950
def
3574
remove
appTerm
appTerm
3950
ref
3578
remove
appTerm
appTerm
appTerm
refl
appThm
trans
3925
remove
refl
3930
remove
assume
appThm
eqMp
sym
537
ref
306
ref
nil
3640
ref
3641
remove
"y"
2908
remove
var
2920
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3642
remove
3768
ref
subst
subst
3318
ref
refl
3951
def
2400
ref
306
ref
nil
3141
remove
3602
ref
cons
3601
remove
nil
cons
cons
nil
cons
cons
3161
remove
subst
appThm
3598
ref
refl
appThm
absThm
appThm
trans
appThm
166
ref
3950
ref
refl
3316
ref
refl
3952
def
3317
ref
1198
ref
3462
ref
3951
ref
2941
ref
3472
remove
refl
3462
ref
2941
ref
3577
remove
absTerm
3953
def
absTerm
3954
def
3463
ref
appTerm
betaConv
3240
remove
appThm
3953
remove
2942
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3954
ref
459
ref
appTerm
betaConv
3029
remove
appThm
2941
ref
43
ref
521
ref
appTerm
3955
def
2947
ref
3563
ref
appTerm
appTerm
absTerm
113
ref
appTerm
betaConv
trans
appThm
nil
"p"
2
ref
9
ref
107
ref
cons
opType
3956
def
var
3957
def
3954
remove
nil
cons
cons
nil
cons
nil
cons
cons
105
remove
120
ref
3950
remove
3316
remove
3317
ref
451
ref
13
ref
3318
ref
2941
ref
3320
ref
3957
ref
varTerm
3958
def
23
ref
appTerm
2942
ref
appTerm
3959
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
3958
ref
459
ref
appTerm
113
ref
appTerm
appTerm
absTerm
3960
def
113
remove
appTerm
3961
def
betaConv
452
ref
104
ref
3960
ref
appTerm
3962
def
absTerm
3963
def
459
ref
appTerm
3964
def
betaConv
3957
ref
12
ref
3963
ref
appTerm
3965
def
absTerm
3966
def
3958
ref
appTerm
3967
def
betaConv
nil
8
ref
2
ref
2
ref
3956
ref
4
ref
cons
opType
3968
def
4
ref
cons
opType
constTerm
3969
def
3966
ref
appTerm
3970
def
axiom
nil
117
ref
3970
remove
nil
cons
cons
119
ref
3967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
3956
ref
nil
cons
cons
nil
cons
3971
def
"P"
3968
remove
var
3972
def
3966
remove
nil
cons
cons
"x"
3956
remove
var
3958
ref
nil
cons
cons
nil
cons
3973
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3965
remove
nil
cons
cons
119
ref
3964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3963
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3962
remove
nil
cons
cons
119
ref
3961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3960
remove
nil
cons
cons
3119
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
appThm
appThm
sym
nil
162
ref
43
ref
3318
ref
2400
ref
43
ref
43
ref
2283
remove
23
ref
appTerm
3974
def
appTerm
3975
def
3146
ref
3596
ref
appTerm
appTerm
appTerm
3598
ref
appTerm
absTerm
3976
def
appTerm
3977
def
appTerm
3955
remove
3190
remove
3563
remove
appTerm
3978
def
appTerm
3979
def
appTerm
nil
cons
3980
def
cons
3981
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
3980
remove
cons
549
ref
cons
nil
cons
cons
3982
def
136
ref
subst
3982
remove
195
ref
subst
nil
162
ref
3977
ref
nil
cons
3983
def
cons
164
ref
3979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3984
def
178
ref
subst
3984
remove
436
ref
subst
nil
117
ref
3983
remove
cons
549
ref
cons
nil
cons
cons
187
ref
subst
nil
2391
ref
3606
ref
7
ref
3976
ref
3607
ref
appTerm
3985
def
appTerm
539
ref
appTerm
3986
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
3606
ref
nil
149
ref
3986
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3985
ref
nil
cons
3987
def
cons
549
ref
cons
nil
cons
cons
3988
def
136
ref
subst
3988
remove
195
ref
subst
3985
ref
betaConv
3985
remove
assume
eqMp
nil
117
ref
43
ref
3975
ref
3146
remove
3607
ref
appTerm
3989
def
appTerm
3990
def
appTerm
3609
remove
appTerm
nil
cons
3991
def
cons
549
ref
cons
nil
cons
cons
3992
def
187
ref
subst
proveHyp
3992
ref
136
ref
subst
3992
remove
195
ref
subst
nil
162
ref
3990
remove
nil
cons
cons
164
ref
3620
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
nil
162
ref
3974
ref
nil
cons
cons
164
ref
3989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
nil
829
remove
164
ref
3978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
120
ref
"_11910"
9
ref
var
3993
def
19
ref
78
ref
3993
remove
varTerm
appTerm
63
ref
appTerm
appTerm
absTerm
3994
def
23
ref
appTerm
3995
def
appTerm
refl
3994
remove
459
ref
appTerm
betaConv
appThm
166
ref
3995
remove
betaConv
appThm
1577
remove
refl
appThm
trans
"_11635"
9
ref
var
3996
def
19
ref
78
ref
3996
remove
varTerm
appTerm
63
ref
appTerm
appTerm
absTerm
3997
def
refl
3998
def
3974
remove
assume
sym
appThm
eqMp
632
ref
assume
eqMp
nil
1789
remove
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
149
ref
1788
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
1790
remove
813
remove
trans
trans
sym
155
ref
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3991
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
3987
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
104
ref
2400
ref
7
ref
3976
ref
3596
ref
appTerm
appTerm
539
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
3977
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3976
remove
nil
cons
cons
1027
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
3981
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3944
remove
cons
164
ref
3926
remove
cons
nil
cons
3999
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
3942
remove
cons
3999
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
104
ref
2400
ref
7
ref
3931
ref
3596
ref
appTerm
appTerm
3924
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
3932
remove
appTerm
3924
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
3931
remove
nil
cons
cons
3999
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
3938
remove
cons
3999
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3462
ref
7
ref
3933
ref
3463
ref
appTerm
appTerm
3924
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
3934
remove
appTerm
3924
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3933
remove
nil
cons
cons
3999
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
117
ref
43
ref
3637
remove
appTerm
3855
remove
appTerm
nil
cons
cons
119
ref
3579
remove
350
ref
3851
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
32
ref
3851
remove
nil
cons
cons
380
ref
3880
remove
cons
cons
nil
cons
cons
3456
ref
32
ref
7
ref
2736
ref
458
ref
3884
ref
appTerm
appTerm
4000
def
appTerm
446
ref
3559
ref
3887
ref
constTerm
4001
def
63
ref
appTerm
4002
def
455
ref
appTerm
4003
def
appTerm
4004
def
385
ref
appTerm
4005
def
appTerm
4006
def
absTerm
4007
def
36
ref
appTerm
4008
def
betaConv
379
ref
17
ref
4007
ref
appTerm
4009
def
absTerm
4010
def
382
ref
appTerm
4011
def
betaConv
454
ref
17
ref
4010
ref
appTerm
4012
def
absTerm
4013
def
455
ref
appTerm
4014
def
betaConv
60
ref
59
ref
4013
ref
appTerm
4015
def
absTerm
4016
def
63
ref
appTerm
4017
def
betaConv
298
ref
60
ref
298
ref
454
ref
237
ref
379
ref
237
ref
32
ref
nil
117
ref
43
ref
3372
remove
appTerm
4018
def
1227
ref
3890
ref
appTerm
4019
def
appTerm
4020
def
nil
cons
4021
def
cons
119
ref
120
ref
4005
ref
appTerm
4022
def
141
ref
appTerm
4023
def
nil
cons
4024
def
cons
nil
cons
cons
nil
cons
cons
4025
def
136
ref
subst
4025
remove
195
ref
subst
nil
32
ref
385
ref
nil
cons
4026
def
cons
60
ref
4003
ref
nil
cons
4027
def
cons
nil
cons
cons
nil
cons
cons
516
ref
subst
306
ref
454
ref
120
ref
62
ref
4003
ref
appTerm
4028
def
appTerm
498
ref
1221
ref
appTerm
4029
def
appTerm
4030
def
absTerm
4031
def
455
ref
appTerm
4032
def
betaConv
60
ref
59
ref
4031
ref
appTerm
4033
def
absTerm
4034
def
63
ref
appTerm
4035
def
betaConv
nil
59
ref
4034
ref
appTerm
4036
def
axiom
4037
def
nil
117
ref
4036
remove
nil
cons
cons
119
ref
4035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4034
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4033
remove
nil
cons
cons
119
ref
4032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4031
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4038
def
306
ref
595
ref
nil
162
ref
3373
remove
cons
4039
def
164
ref
4019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4040
def
178
ref
subst
4041
def
nil
589
ref
164
ref
3390
ref
cons
nil
cons
cons
nil
cons
cons
4042
def
178
ref
subst
4043
def
proveHyp
eqMp
appThm
4044
def
1256
ref
4040
remove
436
ref
subst
4045
def
nil
1235
ref
164
ref
3890
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4046
def
178
ref
subst
proveHyp
4047
def
1262
ref
proveHyp
eqMp
4048
def
appThm
429
ref
trans
trans
appThm
238
ref
4044
remove
306
ref
4048
remove
appThm
3898
ref
1098
ref
4045
remove
4046
remove
436
ref
subst
proveHyp
appThm
308
remove
appThm
958
ref
trans
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
498
ref
1222
ref
3884
ref
appTerm
4049
def
appTerm
4050
def
nil
cons
cons
119
ref
31
ref
221
ref
4003
ref
appTerm
4051
def
appTerm
4052
def
349
ref
227
ref
appTerm
4053
def
1223
ref
appTerm
4054
def
appTerm
4055
def
nil
cons
4056
def
cons
nil
cons
4057
def
cons
nil
cons
cons
187
ref
subst
4058
def
proveHyp
454
ref
7
ref
4050
remove
appTerm
4055
ref
appTerm
absTerm
4059
def
455
ref
appTerm
4060
def
betaConv
60
ref
59
ref
4059
ref
appTerm
4061
def
absTerm
4062
def
63
ref
appTerm
4063
def
betaConv
298
ref
60
ref
298
ref
454
ref
nil
"d"
3
ref
var
4064
def
4056
ref
cons
643
ref
3884
ref
nil
cons
4065
def
cons
2018
ref
1254
ref
cons
1536
ref
588
ref
cons
4066
def
nil
cons
cons
cons
cons
nil
cons
cons
nil
2038
ref
119
ref
120
ref
7
ref
2210
ref
43
ref
2039
ref
appTerm
649
ref
appTerm
4067
def
appTerm
appTerm
4064
ref
varTerm
4068
def
appTerm
appTerm
4069
def
7
ref
1544
ref
appTerm
4070
def
7
ref
4067
ref
appTerm
4068
ref
appTerm
4071
def
appTerm
appTerm
nil
cons
4072
def
cons
nil
cons
4073
def
cons
nil
cons
cons
4074
def
136
ref
subst
4074
remove
195
ref
subst
120
ref
"_11542"
3
ref
var
4075
def
120
ref
7
ref
43
ref
4075
remove
varTerm
4076
def
appTerm
4067
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
4076
remove
appTerm
4071
ref
appTerm
appTerm
absTerm
4077
def
1544
ref
appTerm
4078
def
appTerm
refl
4079
def
4077
ref
539
ref
appTerm
betaConv
appThm
166
ref
4078
remove
betaConv
appThm
4080
def
120
ref
7
ref
1103
ref
4067
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
4081
def
553
ref
4071
ref
appTerm
appTerm
refl
appThm
trans
4077
remove
refl
4082
def
2054
ref
appThm
eqMp
sym
166
ref
235
ref
nil
149
ref
4067
ref
nil
cons
cons
nil
cons
nil
cons
cons
4083
def
1107
ref
subst
appThm
4068
ref
refl
4084
def
appThm
nil
149
ref
4068
ref
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
4085
def
trans
appThm
4086
def
nil
149
ref
4071
ref
nil
cons
4087
def
cons
nil
cons
nil
cons
cons
4088
def
1062
ref
subst
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
ref
164
ref
4072
ref
cons
nil
cons
4089
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
ref
4073
remove
cons
nil
cons
cons
4090
def
136
ref
subst
4090
remove
195
ref
subst
4079
remove
"_11540"
3
ref
var
4091
def
120
ref
7
ref
43
ref
4091
remove
varTerm
4092
def
appTerm
4067
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
4092
remove
appTerm
4071
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
4080
remove
120
ref
7
ref
424
ref
4067
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
4093
def
301
ref
4071
ref
appTerm
appTerm
refl
appThm
trans
4082
remove
2070
ref
appThm
eqMp
sym
166
ref
235
ref
4083
remove
428
ref
subst
appThm
4084
ref
appThm
appThm
4094
def
4088
remove
305
ref
subst
appThm
nil
284
ref
4087
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2072
ref
4089
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
ref
nil
2072
ref
2076
ref
1064
ref
4072
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
166
ref
298
ref
454
ref
299
ref
454
ref
7
ref
4049
ref
appTerm
4055
ref
appTerm
absTerm
4095
def
455
ref
appTerm
4096
def
betaConv
4097
def
appThm
absThm
appThm
appThm
299
ref
298
ref
454
ref
4097
ref
absThm
appThm
appThm
appThm
nil
1893
ref
4095
ref
nil
cons
4098
def
cons
3391
ref
cons
nil
cons
cons
622
ref
3401
ref
subst
subst
eqMp
absThm
appThm
sym
306
ref
298
ref
454
ref
7
ref
1222
ref
3882
ref
56
ref
appTerm
455
ref
appTerm
appTerm
4099
def
appTerm
4100
def
refl
238
ref
702
ref
1446
ref
60
ref
465
ref
4001
ref
56
ref
appTerm
4101
def
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
4102
def
63
ref
appTerm
4103
def
betaConv
nil
59
ref
4102
ref
appTerm
4104
def
axiom
nil
117
ref
4104
remove
nil
cons
cons
119
ref
4103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4102
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
appThm
349
ref
refl
4105
def
322
ref
appThm
1223
ref
refl
4106
def
appThm
nil
32
ref
1314
ref
cons
4107
def
nil
cons
nil
cons
cons
361
remove
subst
trans
appThm
nil
212
ref
1314
ref
cons
nil
cons
nil
cons
cons
275
ref
subst
4108
def
trans
appThm
nil
149
ref
4099
remove
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
1532
ref
trans
appThm
236
ref
13
ref
298
ref
60
ref
7
ref
43
ref
59
ref
4095
remove
appTerm
4109
def
appTerm
965
ref
appTerm
4110
def
appTerm
4111
def
refl
298
ref
454
ref
235
ref
1222
ref
refl
4112
def
454
ref
120
ref
3882
ref
72
ref
appTerm
455
ref
appTerm
4113
def
appTerm
1146
ref
3884
ref
appTerm
4114
def
appTerm
absTerm
4115
def
455
ref
appTerm
4116
def
betaConv
60
ref
59
ref
4115
ref
appTerm
4117
def
absTerm
4118
def
63
ref
appTerm
4119
def
betaConv
13
ref
59
ref
4118
ref
appTerm
4120
def
absTerm
4121
def
23
ref
appTerm
4122
def
betaConv
nil
12
ref
4121
ref
appTerm
4123
def
axiom
nil
117
ref
4123
remove
nil
cons
cons
119
ref
4122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4121
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4120
remove
nil
cons
cons
119
ref
4119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4118
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4117
remove
nil
cons
cons
119
ref
4116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4115
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
appThm
31
ref
221
ref
4001
ref
72
ref
appTerm
455
ref
appTerm
4124
def
appTerm
appTerm
349
ref
225
ref
appTerm
1223
ref
appTerm
4125
def
appTerm
4126
def
refl
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
149
ref
12
ref
13
ref
59
ref
60
ref
4111
ref
59
ref
454
ref
7
ref
1222
ref
4114
ref
appTerm
4127
def
appTerm
4126
ref
appTerm
4128
def
absTerm
4129
def
appTerm
4130
def
appTerm
4131
def
absTerm
4132
def
appTerm
4133
def
absTerm
4134
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
188
ref
4134
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
4133
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
4132
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
4131
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4110
remove
nil
cons
4135
def
cons
119
ref
4130
remove
nil
cons
4136
def
cons
nil
cons
cons
nil
cons
cons
4137
def
136
ref
subst
4137
remove
195
ref
subst
nil
162
ref
4109
ref
nil
cons
4138
def
cons
995
ref
cons
nil
cons
cons
4139
def
178
ref
subst
4139
remove
436
ref
subst
998
ref
999
ref
nil
512
ref
4129
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
4128
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4127
remove
nil
cons
4140
def
cons
119
ref
4126
ref
nil
cons
4141
def
cons
nil
cons
cons
nil
cons
cons
4142
def
136
ref
subst
4142
remove
195
ref
subst
nil
1258
ref
164
ref
4114
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4143
def
178
ref
subst
4143
remove
436
ref
subst
nil
162
ref
1145
ref
nil
cons
4144
def
cons
164
ref
4065
ref
cons
nil
cons
cons
nil
cons
cons
4145
def
178
ref
subst
4145
remove
436
ref
subst
238
ref
702
ref
454
ref
465
ref
4124
remove
appTerm
73
remove
2
ref
3
ref
3887
ref
nil
cons
cons
opType
constTerm
4146
def
1144
ref
appTerm
4003
ref
appTerm
71
ref
4003
ref
appTerm
4147
def
appTerm
appTerm
absTerm
4148
def
455
ref
appTerm
4149
def
betaConv
60
ref
59
ref
4148
ref
appTerm
4150
def
absTerm
4151
def
63
ref
appTerm
4152
def
betaConv
13
ref
59
ref
4151
ref
appTerm
4153
def
absTerm
4154
def
23
ref
appTerm
4155
def
betaConv
nil
12
ref
4154
ref
appTerm
4156
def
axiom
nil
117
ref
4156
remove
nil
cons
cons
119
ref
4155
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4154
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4153
remove
nil
cons
cons
119
ref
4152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4151
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4150
remove
nil
cons
cons
119
ref
4149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4148
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4146
remove
refl
nil
117
ref
4144
ref
cons
119
ref
120
ref
1144
ref
appTerm
4157
def
539
ref
appTerm
nil
cons
4158
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
1144
ref
nil
cons
4159
def
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
4160
def
appThm
4003
ref
refl
appThm
4147
ref
refl
appThm
nil
"t2"
49
ref
var
4147
ref
nil
cons
cons
"t1"
49
ref
var
4027
ref
cons
nil
cons
cons
nil
cons
cons
622
ref
764
ref
subst
subst
trans
trans
appThm
appThm
4125
ref
refl
appThm
sym
1004
ref
nil
1006
remove
119
ref
31
ref
221
ref
4147
remove
appTerm
4161
def
appTerm
4162
def
4125
remove
appTerm
4163
def
nil
cons
4164
def
cons
nil
cons
4165
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
812
ref
226
ref
refl
1014
remove
appThm
appThm
nil
149
ref
226
remove
228
ref
appTerm
4166
def
nil
cons
4167
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
4163
remove
refl
appThm
sym
nil
117
ref
4167
ref
cons
4165
remove
cons
nil
cons
cons
4168
def
136
ref
subst
4168
remove
195
ref
subst
120
ref
"_11544"
0
ref
var
4169
def
4162
ref
349
ref
4169
remove
varTerm
appTerm
1223
ref
appTerm
appTerm
absTerm
4170
def
225
ref
appTerm
4171
def
appTerm
refl
4170
ref
228
ref
appTerm
betaConv
appThm
166
ref
4171
remove
betaConv
appThm
4162
ref
349
ref
228
ref
appTerm
1223
ref
appTerm
4172
def
appTerm
4173
def
refl
4174
def
appThm
trans
4170
remove
refl
4166
remove
assume
appThm
eqMp
sym
231
remove
4003
ref
appTerm
4175
def
betaConv
708
remove
nil
709
remove
119
ref
4175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
710
remove
513
ref
4027
ref
cons
nil
cons
4176
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
4028
ref
appTerm
4162
ref
75
ref
79
ref
4003
ref
appTerm
4177
def
appTerm
4051
ref
appTerm
35
ref
4051
ref
appTerm
4178
def
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
4173
remove
nil
cons
4179
def
cons
nil
cons
4180
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
4038
remove
598
ref
1256
ref
1221
ref
assume
eqMp
4181
def
appThm
429
ref
trans
4182
def
trans
4183
def
appThm
4162
ref
refl
722
remove
13
ref
120
ref
4177
remove
appTerm
883
ref
80
ref
appTerm
4184
def
1144
ref
appTerm
4185
def
appTerm
absTerm
4186
def
23
ref
appTerm
4187
def
betaConv
454
ref
12
ref
4186
ref
appTerm
4188
def
absTerm
4189
def
455
ref
appTerm
4190
def
betaConv
60
ref
59
ref
4189
ref
appTerm
4191
def
absTerm
4192
def
63
ref
appTerm
4193
def
betaConv
nil
59
ref
4192
ref
appTerm
4194
def
axiom
nil
117
ref
4194
remove
nil
cons
cons
119
ref
4193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4192
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4191
remove
nil
cons
cons
119
ref
4190
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4189
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4188
remove
nil
cons
cons
119
ref
4187
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4186
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4195
def
1675
ref
807
remove
appThm
4160
ref
appThm
745
ref
1703
ref
subst
trans
trans
appThm
4051
ref
refl
appThm
4178
ref
refl
appThm
nil
748
ref
4178
ref
nil
cons
cons
749
ref
4051
ref
nil
cons
4196
def
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
trans
appThm
appThm
nil
149
ref
4162
remove
4178
ref
appTerm
4197
def
nil
cons
4198
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
4174
remove
appThm
sym
nil
117
ref
4198
ref
cons
4180
remove
cons
nil
cons
cons
4199
def
136
ref
subst
4199
remove
195
ref
subst
120
ref
"_11546"
0
ref
var
4200
def
31
ref
4200
remove
varTerm
appTerm
4172
ref
appTerm
absTerm
4201
def
4161
remove
appTerm
4202
def
appTerm
refl
4201
ref
4178
ref
appTerm
betaConv
appThm
166
ref
4202
remove
betaConv
appThm
31
ref
4178
remove
appTerm
4203
def
4172
remove
appTerm
refl
appThm
trans
4201
remove
refl
4197
remove
assume
appThm
eqMp
sym
4203
remove
refl
nil
4107
ref
3535
ref
cons
nil
cons
cons
395
ref
subst
appThm
sym
313
ref
306
ref
4181
ref
appThm
4204
def
nil
149
ref
4065
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
3884
ref
assume
eqMp
4205
def
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
4049
remove
nil
cons
cons
4057
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
4097
remove
nil
117
ref
4138
remove
cons
119
ref
4096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
4098
remove
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
appThm
eqMp
eqMp
eqMp
nil
162
ref
4198
remove
cons
164
ref
4179
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
4167
remove
cons
164
ref
4164
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
4140
remove
cons
164
ref
4141
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
4135
remove
cons
164
ref
4136
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
59
ref
454
ref
4100
remove
31
ref
221
ref
4101
remove
455
ref
appTerm
appTerm
appTerm
349
ref
222
ref
appTerm
1223
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
59
ref
60
ref
4111
remove
59
ref
454
ref
7
ref
1222
ref
4113
remove
appTerm
appTerm
4126
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
ref
4109
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
4109
remove
absTerm
4206
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
4206
ref
63
ref
appTerm
betaConv
4207
def
appThm
1033
ref
appThm
appThm
4206
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
4207
remove
appThm
absThm
appThm
appThm
nil
1034
ref
4206
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
eqMp
eqMp
4208
def
nil
117
ref
59
ref
4062
ref
appTerm
4209
def
nil
cons
cons
119
ref
4063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4062
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4061
remove
nil
cons
cons
119
ref
4060
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4059
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4210
def
eqMp
4105
remove
4041
remove
4042
remove
436
ref
subst
4211
def
proveHyp
appThm
4047
remove
1273
ref
proveHyp
appThm
trans
appThm
385
ref
refl
appThm
nil
212
ref
4026
ref
cons
nil
cons
nil
cons
cons
275
ref
subst
trans
appThm
429
ref
trans
trans
eqMp
nil
162
ref
4021
ref
cons
164
ref
4024
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
4020
ref
appTerm
4212
def
4023
remove
appTerm
nil
cons
cons
119
ref
120
ref
4006
remove
appTerm
4213
def
4212
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
3370
ref
1448
ref
3898
ref
appThm
appThm
nil
117
ref
120
ref
4000
ref
appTerm
4214
def
4020
remove
appTerm
nil
cons
cons
119
ref
7
ref
4212
ref
4022
remove
1450
ref
appTerm
4215
def
appTerm
appTerm
4213
ref
4212
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
4021
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
4214
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
4215
remove
appTerm
appTerm
4213
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
4216
def
1450
ref
appTerm
4217
def
betaConv
1452
ref
280
ref
4216
ref
appTerm
4218
def
absTerm
4219
def
1453
ref
appTerm
4220
def
betaConv
nil
119
ref
4005
remove
nil
cons
cons
117
ref
4000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
4219
ref
appTerm
nil
cons
cons
119
ref
4220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4219
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4218
remove
nil
cons
cons
119
ref
4217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4216
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
4021
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
296
ref
trans
absThm
appThm
296
ref
trans
absThm
appThm
1532
ref
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
4221
def
nil
117
ref
59
ref
4016
ref
appTerm
4222
def
nil
cons
cons
119
ref
4017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4016
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4015
remove
nil
cons
cons
119
ref
4014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4013
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4012
remove
nil
cons
cons
119
ref
4011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4010
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4009
remove
nil
cons
cons
119
ref
4008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4007
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4223
def
subst
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3555
remove
cons
164
ref
3557
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
162
ref
3545
remove
cons
164
ref
3546
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
3525
remove
cons
164
ref
3514
ref
cons
nil
cons
4224
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
3521
remove
cons
4224
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
887
ref
911
ref
appTerm
appTerm
3502
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
888
ref
appTerm
3502
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
887
remove
nil
cons
cons
4224
ref
cons
nil
cons
cons
947
ref
subst
eqMp
nil
117
ref
885
ref
nil
cons
4225
def
cons
3515
remove
cons
nil
cons
cons
4226
def
136
ref
subst
4226
remove
195
ref
subst
3531
remove
"_11854"
0
ref
var
4227
def
7
ref
3492
ref
4227
remove
varTerm
4228
def
appTerm
appTerm
17
ref
32
ref
3471
ref
3475
ref
3284
ref
4228
remove
appTerm
36
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
84
ref
appTerm
betaConv
appThm
3532
remove
7
ref
3492
ref
84
ref
appTerm
appTerm
17
ref
32
ref
3471
remove
3475
remove
3447
ref
appTerm
appTerm
absTerm
appTerm
4229
def
appTerm
refl
appThm
trans
3534
remove
885
ref
assume
appThm
eqMp
sym
235
ref
1016
ref
1024
remove
nil
117
ref
1020
remove
nil
cons
cons
119
ref
120
ref
1019
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
1019
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
4230
def
subst
4231
def
appThm
4229
ref
refl
appThm
nil
149
ref
4229
remove
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
4225
remove
cons
4232
def
4224
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
4232
remove
164
ref
888
remove
nil
cons
cons
1064
ref
3514
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
3513
remove
cons
4224
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
3487
remove
cons
164
ref
3488
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
3458
remove
appTerm
3486
remove
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
ref
3459
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
3459
remove
absTerm
4233
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
4233
ref
63
ref
appTerm
betaConv
4234
def
appThm
1033
ref
appThm
appThm
4233
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
4234
remove
appThm
absThm
appThm
appThm
nil
1034
ref
4233
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
eqMp
eqMp
4235
def
nil
117
ref
59
ref
3367
ref
appTerm
4236
def
nil
cons
cons
119
ref
3368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3367
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3366
remove
nil
cons
cons
119
ref
3363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3415
ref
3418
ref
3362
remove
nil
cons
cons
3436
ref
3339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4237
def
nil
117
ref
17
ref
3349
ref
appTerm
nil
cons
cons
4238
def
119
ref
3350
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3349
ref
nil
cons
cons
4239
def
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3348
remove
nil
cons
cons
119
ref
3347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3346
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3345
remove
nil
cons
cons
3335
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
306
ref
nil
149
ref
3337
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
2735
remove
assume
eqMp
appThm
236
ref
13
ref
631
ref
2727
ref
refl
4240
def
3340
ref
betaConv
4241
def
appThm
1101
ref
appThm
3292
remove
trans
appThm
691
remove
287
ref
subst
4242
def
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
appThm
3313
remove
3952
remove
3317
remove
1198
ref
13
ref
3951
ref
2941
ref
3320
remove
refl
729
ref
refl
2947
ref
refl
4243
def
4241
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
4244
def
appThm
3329
ref
appThm
appThm
nil
149
ref
3334
ref
cons
nil
cons
nil
cons
cons
4245
def
305
ref
subst
trans
appThm
3330
remove
refl
appThm
4245
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
3332
remove
cons
4246
def
164
ref
3334
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
4247
def
trans
absThm
appThm
296
ref
trans
absThm
appThm
296
ref
trans
absThm
appThm
289
ref
2385
ref
294
ref
subst
subst
4248
def
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
4249
def
nil
117
ref
59
ref
3310
ref
appTerm
4250
def
nil
cons
cons
119
ref
3311
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
3310
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3309
remove
nil
cons
cons
119
ref
3308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
3307
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3306
remove
nil
cons
cons
119
ref
3305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3304
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
3303
remove
nil
cons
cons
119
ref
3302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
3301
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
eqMp
nil
117
ref
43
ref
3281
remove
appTerm
3283
remove
appTerm
nil
cons
cons
119
ref
2730
ref
2864
remove
2894
ref
appTerm
appTerm
2787
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
32
ref
2787
remove
nil
cons
cons
"s"
2847
remove
var
2894
remove
nil
cons
cons
2852
remove
2863
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
"A"
2846
remove
cons
2906
remove
cons
96
ref
cons
3849
ref
subst
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
2828
remove
cons
164
ref
2806
remove
cons
nil
cons
4251
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
2819
remove
cons
4251
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
2799
ref
2247
ref
appTerm
appTerm
2788
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
2800
remove
appTerm
2788
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2799
remove
nil
cons
cons
4251
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
2813
remove
cons
4251
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
2801
ref
23
ref
appTerm
appTerm
2788
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
2802
remove
appTerm
2788
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
2801
remove
nil
cons
cons
4251
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
2805
remove
cons
4251
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
162
ref
2793
remove
cons
164
ref
2795
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
2786
remove
appTerm
2792
remove
appTerm
nil
cons
cons
119
ref
17
ref
2753
ref
appTerm
nil
cons
4252
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
2753
ref
84
ref
appTerm
betaConv
appThm
237
ref
379
ref
235
ref
2755
ref
appThm
2753
ref
383
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
379
ref
2755
remove
absThm
appThm
appThm
nil
409
ref
2753
remove
nil
cons
4253
def
cons
nil
cons
nil
cons
cons
416
ref
subst
eqMp
eqMp
nil
117
ref
4252
remove
cons
119
ref
2754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4253
remove
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
3295
remove
proveHyp
3296
remove
eqMp
eqMp
4254
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4255
def
nil
117
ref
17
ref
2744
ref
appTerm
4256
def
nil
cons
4257
def
cons
4258
def
119
ref
2745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
2746
ref
896
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
17
ref
2733
ref
appTerm
nil
cons
cons
119
ref
2734
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2733
remove
nil
cons
cons
212
ref
2695
ref
nil
cons
4259
def
cons
nil
cons
4260
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
2726
ref
2728
remove
2695
ref
appTerm
appTerm
appTerm
2731
remove
2696
ref
appTerm
appTerm
nil
cons
cons
2718
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
306
ref
2442
remove
598
ref
2444
ref
appThm
429
ref
trans
4261
def
trans
4262
def
appThm
4263
def
nil
32
ref
4259
ref
cons
4264
def
3298
ref
cons
nil
cons
cons
3668
ref
subst
306
ref
nil
149
ref
2720
ref
cons
nil
cons
nil
cons
cons
4265
def
156
ref
subst
2350
ref
assume
eqMp
4266
def
appThm
4267
def
nil
4260
ref
nil
cons
cons
275
ref
subst
4268
def
appThm
429
ref
trans
4269
def
trans
appThm
429
ref
trans
appThm
nil
32
ref
2696
remove
nil
cons
cons
"s"
2321
remove
var
2358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2427
ref
516
ref
subst
subst
appThm
nil
149
ref
43
ref
2359
remove
appTerm
2697
ref
appTerm
nil
cons
4270
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
2697
remove
refl
appThm
sym
nil
117
ref
4270
ref
cons
2718
remove
cons
nil
cons
cons
4271
def
136
ref
subst
4271
remove
195
ref
subst
nil
162
ref
2396
remove
cons
164
ref
2717
ref
cons
nil
cons
4272
def
cons
nil
cons
cons
436
ref
subst
eqMp
nil
162
ref
4270
remove
cons
4272
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2405
ref
4272
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4273
def
nil
117
ref
104
ref
2711
ref
appTerm
4274
def
nil
cons
4275
def
cons
4276
def
119
ref
59
ref
2704
ref
appTerm
nil
cons
4277
def
cons
nil
cons
cons
nil
cons
cons
4278
def
187
ref
subst
proveHyp
4278
ref
136
ref
subst
4278
remove
195
ref
subst
nil
512
ref
2704
remove
nil
cons
cons
4279
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
2703
remove
nil
cons
4280
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
2701
remove
nil
cons
cons
4281
def
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
2700
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2388
ref
119
ref
2699
remove
nil
cons
4282
def
cons
nil
cons
cons
nil
cons
cons
4283
def
136
ref
subst
4283
remove
195
ref
subst
nil
2391
ref
2698
remove
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2329
ref
nil
149
ref
2717
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
2719
remove
187
ref
subst
2707
remove
2349
ref
appTerm
4284
def
betaConv
2709
remove
63
ref
appTerm
4285
def
betaConv
2711
remove
2343
ref
appTerm
4286
def
betaConv
nil
4276
remove
119
ref
4286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2712
remove
2401
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2713
remove
cons
119
ref
4285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
2714
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2715
remove
cons
119
ref
4284
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2716
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
2405
ref
164
ref
4282
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
4275
remove
cons
164
ref
4277
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
4277
remove
cons
119
ref
2705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
4279
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4280
remove
cons
119
ref
2702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
4281
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
nil
117
ref
2694
remove
cons
2692
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
2406
ref
2329
ref
238
ref
2687
ref
refl
4287
def
2423
ref
appThm
appThm
2688
ref
refl
2484
ref
2394
ref
2435
ref
subst
2330
ref
2
ref
102
ref
2383
ref
cons
opType
constTerm
4288
def
refl
4289
def
"v"
97
ref
var
4290
def
3951
ref
2400
ref
nil
149
ref
108
ref
4290
ref
varTerm
appTerm
4291
def
3596
ref
appTerm
4292
def
nil
cons
cons
nil
cons
nil
cons
cons
2422
ref
subst
absThm
appThm
absThm
appThm
trans
appThm
appThm
702
ref
2435
remove
2429
ref
refl
4293
def
2430
ref
1198
ref
13
ref
nil
149
ref
2433
ref
nil
cons
cons
nil
cons
nil
cons
cons
2422
ref
subst
absThm
appThm
absThm
appThm
trans
appThm
appThm
4294
def
appThm
absThm
appThm
nil
149
ref
31
ref
2687
remove
2424
ref
appTerm
appTerm
2688
ref
2470
ref
4288
ref
4290
ref
3318
ref
2400
ref
4292
ref
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
221
ref
2429
ref
2430
ref
451
ref
13
ref
2433
remove
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
4295
def
2426
ref
subst
trans
appThm
238
ref
4287
remove
2437
ref
appThm
appThm
4294
remove
appThm
appThm
4295
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2438
remove
164
ref
2691
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2439
remove
2690
remove
appTerm
thm
237
ref
32
ref
238
ref
32
ref
43
ref
61
ref
2620
remove
constTerm
4296
def
2630
ref
appTerm
4297
def
appTerm
31
ref
220
ref
2
ref
2612
remove
33
ref
cons
opType
constTerm
4298
def
2630
remove
appTerm
appTerm
36
ref
appTerm
4299
def
appTerm
absTerm
4300
def
36
ref
appTerm
4301
def
betaConv
237
ref
32
ref
nil
2613
ref
2679
remove
cons
nil
cons
nil
cons
cons
272
ref
516
ref
subst
4302
def
subst
absThm
appThm
2686
ref
eqMp
nil
117
ref
17
ref
4300
ref
appTerm
nil
cons
cons
119
ref
4301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4300
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
162
ref
4297
remove
nil
cons
cons
164
ref
4299
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
proveHyp
appThm
1101
ref
appThm
2458
ref
trans
absThm
appThm
296
ref
trans
sym
155
ref
eqMp
nil
17
ref
32
ref
4299
remove
absTerm
appTerm
thm
298
ref
"a"
49
ref
var
4303
def
298
ref
"b"
49
ref
var
4304
def
235
ref
306
ref
nil
454
ref
4304
ref
varTerm
4305
def
nil
cons
4306
def
cons
60
ref
4303
ref
varTerm
4307
def
nil
cons
4308
def
cons
nil
cons
4309
def
cons
nil
cons
cons
4310
def
454
ref
120
ref
"Set.properSubset"
const
464
ref
constTerm
4311
def
63
ref
appTerm
455
ref
appTerm
appTerm
43
ref
"Set.subset"
const
4312
def
464
ref
constTerm
4313
def
63
ref
appTerm
4314
def
455
ref
appTerm
4315
def
appTerm
4316
def
19
ref
3899
ref
appTerm
appTerm
appTerm
absTerm
4317
def
455
ref
appTerm
4318
def
betaConv
60
ref
59
ref
4317
ref
appTerm
4319
def
absTerm
4320
def
63
ref
appTerm
4321
def
betaConv
nil
59
ref
4320
ref
appTerm
4322
def
axiom
nil
117
ref
4322
remove
nil
cons
cons
119
ref
4321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4320
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4319
remove
nil
cons
cons
119
ref
4318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4317
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4323
def
subst
appThm
62
ref
4305
ref
appTerm
4324
def
refl
appThm
appThm
nil
32
ref
221
ref
4305
ref
appTerm
4325
def
nil
cons
cons
4326
def
379
ref
221
ref
4307
ref
appTerm
4327
def
nil
cons
cons
nil
cons
4328
def
cons
nil
cons
cons
4329
def
32
ref
2571
ref
43
ref
2584
ref
appTerm
4330
def
19
ref
3536
ref
appTerm
4331
def
appTerm
appTerm
absTerm
4332
def
36
ref
appTerm
4333
def
betaConv
379
ref
17
ref
4332
ref
appTerm
4334
def
absTerm
4335
def
382
ref
appTerm
4336
def
betaConv
nil
17
ref
4335
ref
appTerm
4337
def
axiom
nil
117
ref
4337
remove
nil
cons
cons
119
ref
4336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4335
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4334
remove
nil
cons
cons
119
ref
4333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4332
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
absThm
appThm
absThm
appThm
sym
nil
512
ref
4303
ref
59
ref
4304
ref
7
ref
43
ref
43
ref
4313
ref
4307
ref
appTerm
4338
def
4305
ref
appTerm
4339
def
appTerm
4340
def
19
ref
465
ref
4307
ref
appTerm
4305
ref
appTerm
4341
def
appTerm
4342
def
appTerm
4343
def
appTerm
4324
ref
appTerm
4344
def
appTerm
43
ref
2469
ref
4327
ref
appTerm
4345
def
4325
ref
appTerm
4346
def
appTerm
4347
def
19
ref
31
ref
4327
ref
appTerm
4325
ref
appTerm
4348
def
appTerm
4349
def
appTerm
4350
def
appTerm
4351
def
absTerm
4352
def
appTerm
4353
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4303
ref
nil
149
ref
4353
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
4352
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4304
ref
nil
149
ref
4351
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4344
remove
nil
cons
4354
def
cons
119
ref
4350
remove
nil
cons
4355
def
cons
nil
cons
cons
nil
cons
cons
4356
def
136
ref
subst
4356
remove
195
ref
subst
nil
162
ref
4343
remove
nil
cons
cons
164
ref
4324
ref
nil
cons
4357
def
cons
nil
cons
4358
def
cons
nil
cons
cons
4359
def
178
ref
subst
4359
remove
436
ref
subst
nil
162
ref
4339
ref
nil
cons
4360
def
cons
4361
def
164
ref
4342
remove
nil
cons
4362
def
cons
nil
cons
cons
nil
cons
cons
4363
def
178
ref
subst
4363
remove
436
ref
subst
4310
ref
454
ref
120
ref
465
ref
4002
ref
"Set.difference"
const
3887
remove
constTerm
4364
def
455
ref
appTerm
4365
def
63
ref
appTerm
4366
def
appTerm
4367
def
appTerm
4368
def
455
ref
appTerm
appTerm
4315
ref
appTerm
absTerm
4369
def
455
ref
appTerm
4370
def
betaConv
60
ref
59
ref
4369
ref
appTerm
4371
def
absTerm
4372
def
63
ref
appTerm
4373
def
betaConv
nil
59
ref
4372
ref
appTerm
4374
def
axiom
nil
117
ref
4374
remove
nil
cons
cons
119
ref
4373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4372
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4371
remove
nil
cons
cons
119
ref
4370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4369
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
149
ref
4360
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
4339
ref
assume
eqMp
4375
def
trans
sym
155
ref
eqMp
120
ref
"_11683"
49
ref
var
4376
def
4345
ref
221
ref
4376
remove
varTerm
appTerm
appTerm
absTerm
4377
def
4305
ref
appTerm
4378
def
appTerm
refl
4377
ref
4001
ref
4307
ref
appTerm
4364
ref
4305
ref
appTerm
4307
ref
appTerm
4379
def
appTerm
4380
def
appTerm
betaConv
appThm
166
ref
4378
remove
betaConv
appThm
4345
remove
221
ref
4380
ref
appTerm
4381
def
appTerm
refl
appThm
trans
4377
remove
refl
465
ref
4380
remove
appTerm
4305
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
32
ref
4381
ref
nil
cons
cons
4328
remove
cons
nil
cons
cons
32
ref
120
ref
2584
ref
appTerm
4382
def
886
ref
"d"
0
ref
var
4383
def
31
ref
36
ref
appTerm
4384
def
384
ref
4383
ref
varTerm
4385
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4386
def
36
ref
appTerm
4387
def
betaConv
379
ref
17
ref
4386
ref
appTerm
4388
def
absTerm
4389
def
382
ref
appTerm
4390
def
betaConv
nil
17
ref
4389
ref
appTerm
4391
def
axiom
nil
117
ref
4391
remove
nil
cons
cons
119
ref
4390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4389
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4388
remove
nil
cons
cons
119
ref
4387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4386
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4392
def
subst
sym
4383
ref
31
ref
4381
remove
appTerm
4393
def
349
ref
4327
ref
appTerm
4394
def
4385
ref
appTerm
appTerm
absTerm
4395
def
221
ref
4379
ref
appTerm
4396
def
appTerm
betaConv
sym
43
ref
62
ref
4307
ref
appTerm
4397
def
appTerm
4398
def
refl
43
ref
62
ref
4379
ref
appTerm
4399
def
appTerm
4400
def
refl
4310
ref
nil
149
ref
3883
ref
4366
ref
appTerm
4401
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
454
ref
4401
ref
absTerm
4402
def
455
ref
appTerm
4403
def
betaConv
60
ref
59
ref
4402
ref
appTerm
4404
def
absTerm
4405
def
63
ref
appTerm
4406
def
betaConv
nil
59
ref
4405
ref
appTerm
4407
def
axiom
nil
117
ref
4407
remove
nil
cons
cons
119
ref
4406
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4405
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4404
remove
nil
cons
cons
119
ref
4403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4402
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
4408
def
subst
appThm
nil
149
ref
4399
ref
nil
cons
4409
def
cons
nil
cons
nil
cons
cons
4410
def
2422
ref
subst
trans
appThm
sym
454
ref
1222
ref
4338
remove
455
ref
appTerm
appTerm
absTerm
4411
def
4305
ref
appTerm
betaConv
sym
306
ref
nil
149
ref
4357
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
4324
ref
assume
eqMp
appThm
4412
def
4375
ref
appThm
429
ref
trans
sym
155
ref
eqMp
4413
def
eqMp
511
ref
512
ref
4411
ref
nil
cons
cons
513
ref
4306
ref
cons
nil
cons
4414
def
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
453
ref
4411
remove
appTerm
nil
cons
cons
119
ref
4397
remove
nil
cons
4415
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4309
ref
nil
cons
cons
60
ref
7
ref
453
ref
454
ref
1222
ref
4315
ref
appTerm
4416
def
absTerm
4417
def
appTerm
4418
def
appTerm
4419
def
64
ref
appTerm
4420
def
absTerm
4421
def
63
ref
appTerm
4422
def
betaConv
nil
59
ref
60
ref
59
ref
454
ref
7
ref
4416
ref
appTerm
4423
def
64
ref
appTerm
absTerm
4424
def
appTerm
4425
def
absTerm
4426
def
appTerm
4427
def
axiom
nil
117
ref
4427
ref
nil
cons
4428
def
cons
4429
def
119
ref
59
ref
4421
ref
appTerm
nil
cons
4430
def
cons
nil
cons
cons
nil
cons
cons
4431
def
187
ref
subst
proveHyp
4431
ref
136
ref
subst
4431
remove
195
ref
subst
nil
512
ref
4421
remove
nil
cons
cons
4432
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
4420
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4418
remove
nil
cons
4433
def
cons
4434
def
3692
ref
cons
nil
cons
cons
4435
def
136
ref
subst
4435
ref
195
ref
subst
nil
4429
ref
3692
ref
cons
nil
cons
cons
4436
def
187
ref
subst
nil
4434
remove
119
ref
7
ref
4427
remove
appTerm
64
ref
appTerm
4437
def
nil
cons
4438
def
cons
nil
cons
4439
def
cons
nil
cons
cons
187
ref
subst
nil
512
ref
454
ref
7
ref
4417
ref
455
ref
appTerm
4440
def
appTerm
4437
ref
appTerm
4441
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
4441
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4440
ref
nil
cons
4442
def
cons
4439
ref
cons
nil
cons
cons
4443
def
136
ref
subst
4443
remove
195
ref
subst
4440
ref
betaConv
4440
remove
assume
eqMp
nil
117
ref
4416
remove
nil
cons
4444
def
cons
4445
def
4439
remove
cons
nil
cons
cons
4446
def
187
ref
subst
proveHyp
4446
ref
136
ref
subst
4446
remove
195
ref
subst
4436
ref
136
ref
subst
4436
remove
195
ref
subst
nil
4445
ref
3692
remove
cons
nil
cons
cons
187
ref
subst
4424
ref
455
ref
appTerm
4447
def
betaConv
4426
ref
63
ref
appTerm
4448
def
betaConv
nil
4429
remove
119
ref
4448
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
4426
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4425
remove
nil
cons
cons
119
ref
4447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4424
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
4428
remove
cons
4449
def
996
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
4444
remove
cons
4450
def
164
ref
4438
remove
cons
nil
cons
4451
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
4442
remove
cons
4451
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
4417
ref
2247
ref
appTerm
appTerm
4437
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
4419
remove
4437
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4417
ref
nil
cons
cons
4452
def
4451
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
4433
remove
cons
996
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
4449
remove
164
ref
4430
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
4430
remove
cons
119
ref
4422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
4432
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4453
def
subst
eqMp
nil
117
ref
4415
remove
cons
119
ref
4409
remove
cons
nil
cons
4454
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
4357
ref
cons
4454
remove
cons
nil
cons
cons
187
ref
subst
nil
454
ref
4308
ref
cons
60
ref
4306
remove
cons
nil
cons
cons
nil
cons
cons
4455
def
454
ref
65
ref
62
ref
4364
ref
63
ref
appTerm
455
ref
appTerm
4456
def
appTerm
4457
def
appTerm
absTerm
4458
def
455
ref
appTerm
4459
def
betaConv
60
ref
59
ref
4458
ref
appTerm
4460
def
absTerm
4461
def
63
ref
appTerm
4462
def
betaConv
nil
59
ref
4461
ref
appTerm
4463
def
axiom
nil
117
ref
4463
remove
nil
cons
cons
119
ref
4462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4461
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4460
remove
nil
cons
cons
119
ref
4459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4458
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4464
def
subst
eqMp
4465
def
eqMp
eqMp
nil
117
ref
4398
remove
4400
remove
3882
ref
4307
ref
appTerm
4379
ref
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
4393
remove
4394
remove
4396
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
454
ref
4379
remove
nil
cons
4466
def
cons
4309
remove
cons
nil
cons
cons
4210
ref
subst
eqMp
eqMp
210
ref
211
ref
4395
remove
nil
cons
cons
212
ref
4396
ref
nil
cons
cons
nil
cons
4467
def
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
proveHyp
4468
def
nil
117
ref
4346
ref
nil
cons
4469
def
cons
119
ref
4349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
162
ref
4348
ref
nil
cons
4470
def
cons
4471
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
4470
ref
cons
549
ref
cons
nil
cons
cons
4472
def
136
ref
subst
4472
remove
195
ref
subst
nil
117
ref
4362
ref
cons
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
4362
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
nil
149
ref
4341
ref
nil
cons
4473
def
cons
nil
cons
nil
cons
cons
1605
ref
subst
trans
sym
306
ref
4375
remove
appThm
4474
def
4313
ref
4305
ref
appTerm
4307
ref
appTerm
4475
def
refl
appThm
nil
149
ref
4475
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
4455
ref
454
ref
120
ref
4315
ref
appTerm
4476
def
465
ref
4456
ref
appTerm
4477
def
56
ref
appTerm
4478
def
appTerm
4479
def
absTerm
4480
def
455
ref
appTerm
4481
def
betaConv
60
ref
59
ref
4480
ref
appTerm
4482
def
absTerm
4483
def
63
ref
appTerm
4484
def
betaConv
298
ref
60
ref
298
ref
454
ref
4479
remove
assume
sym
120
ref
4478
remove
appTerm
4315
ref
appTerm
4485
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
59
ref
60
ref
59
ref
454
ref
4485
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
59
ref
4483
ref
appTerm
nil
cons
cons
119
ref
4484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4483
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4482
remove
nil
cons
cons
119
ref
4481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4480
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
60
ref
4466
remove
cons
nil
cons
4486
def
nil
cons
cons
60
ref
538
remove
2249
ref
appTerm
4487
def
absTerm
4488
def
63
ref
appTerm
4489
def
betaConv
298
ref
60
ref
4487
remove
assume
sym
2447
remove
assume
sym
deductAntisym
absThm
appThm
2449
remove
eqMp
nil
117
ref
59
ref
4488
ref
appTerm
nil
cons
cons
119
ref
4489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4488
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
329
ref
4486
remove
cons
nil
cons
cons
516
ref
subst
trans
trans
sym
4465
remove
306
ref
4410
remove
156
ref
subst
4399
remove
assume
eqMp
appThm
31
ref
4396
remove
appTerm
4490
def
84
ref
appTerm
4491
def
refl
appThm
nil
149
ref
4491
remove
nil
cons
4492
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
243
ref
43
ref
4490
ref
243
ref
varTerm
4493
def
appTerm
appTerm
31
ref
4493
remove
appTerm
84
ref
appTerm
appTerm
absTerm
4494
def
606
ref
4325
ref
appTerm
4495
def
4327
ref
appTerm
4496
def
appTerm
betaConv
sym
4413
remove
nil
117
ref
43
ref
4324
ref
appTerm
4497
def
4339
remove
appTerm
nil
cons
cons
119
ref
4490
remove
4496
ref
appTerm
nil
cons
4498
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
4455
remove
nil
117
ref
498
ref
4313
ref
455
ref
appTerm
4499
def
63
ref
appTerm
4500
def
appTerm
4501
def
nil
cons
4502
def
cons
119
ref
31
ref
221
ref
4456
ref
appTerm
4503
def
appTerm
607
remove
1223
ref
appTerm
appTerm
4504
def
nil
cons
4505
def
cons
nil
cons
4506
def
cons
nil
cons
cons
4507
def
136
ref
subst
4507
ref
195
ref
subst
nil
589
ref
164
ref
4500
ref
nil
cons
4508
def
cons
nil
cons
4509
def
cons
nil
cons
cons
4510
def
178
ref
subst
4510
remove
436
ref
subst
nil
211
ref
2641
ref
17
ref
1
ref
17
ref
"c"
0
ref
var
4511
def
7
ref
31
ref
349
ref
2647
ref
appTerm
53
ref
appTerm
4512
def
appTerm
4511
ref
varTerm
4513
def
appTerm
4514
def
appTerm
31
ref
2647
ref
appTerm
4515
def
606
ref
4513
ref
appTerm
53
ref
appTerm
appTerm
4516
def
appTerm
4517
def
absTerm
4518
def
appTerm
4519
def
absTerm
4520
def
appTerm
4521
def
absTerm
4522
def
nil
cons
cons
4523
def
nil
cons
nil
cons
cons
371
ref
subst
2641
ref
nil
149
ref
4521
remove
nil
cons
4524
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
4520
ref
nil
cons
cons
4525
def
nil
cons
nil
cons
cons
371
ref
subst
1
ref
nil
149
ref
4519
remove
nil
cons
4526
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
4518
ref
nil
cons
cons
4527
def
nil
cons
nil
cons
cons
371
ref
subst
4511
ref
nil
149
ref
4517
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4514
ref
nil
cons
4528
def
cons
119
ref
4516
remove
nil
cons
4529
def
cons
nil
cons
cons
nil
cons
cons
4530
def
136
ref
subst
4530
remove
195
ref
subst
120
ref
"_11562"
0
ref
var
4531
def
4515
ref
606
ref
4531
remove
varTerm
appTerm
53
ref
appTerm
appTerm
absTerm
4532
def
4513
ref
appTerm
4533
def
appTerm
refl
4532
ref
4512
ref
appTerm
betaConv
appThm
166
ref
4533
remove
betaConv
appThm
4515
ref
606
ref
4512
remove
appTerm
53
ref
appTerm
appTerm
refl
appThm
trans
4532
remove
refl
4514
remove
assume
sym
appThm
eqMp
sym
4515
remove
refl
nil
32
ref
53
ref
nil
cons
4534
def
cons
379
ref
2647
ref
nil
cons
4535
def
cons
nil
cons
cons
nil
cons
cons
788
ref
subst
appThm
nil
212
ref
4535
remove
cons
nil
cons
4536
def
nil
cons
cons
275
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
4528
remove
cons
164
ref
4529
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
598
ref
306
ref
nil
60
ref
4456
ref
nil
cons
4537
def
cons
nil
cons
4538
def
nil
cons
cons
454
ref
3885
ref
4477
remove
63
ref
appTerm
4539
def
appTerm
4540
def
absTerm
4541
def
455
ref
appTerm
4542
def
betaConv
60
ref
59
ref
4541
ref
appTerm
4543
def
absTerm
4544
def
63
ref
appTerm
4545
def
betaConv
298
ref
60
ref
298
ref
454
ref
4540
remove
assume
sym
120
ref
4539
remove
appTerm
3884
ref
appTerm
4546
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
59
ref
60
ref
59
ref
454
ref
4546
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
59
ref
4544
ref
appTerm
nil
cons
cons
119
ref
4545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4544
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4543
remove
nil
cons
cons
119
ref
4542
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4541
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
1098
ref
454
ref
465
ref
4364
ref
4456
ref
appTerm
455
ref
appTerm
appTerm
4456
ref
appTerm
absTerm
4547
def
455
ref
appTerm
4548
def
betaConv
60
ref
59
ref
4547
ref
appTerm
4549
def
absTerm
4550
def
63
ref
appTerm
4551
def
betaConv
nil
59
ref
4550
ref
appTerm
4552
def
axiom
nil
117
ref
4552
remove
nil
cons
cons
119
ref
4551
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4550
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4549
remove
nil
cons
cons
119
ref
4548
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4547
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
4456
ref
refl
appThm
nil
513
ref
4537
remove
cons
nil
cons
nil
cons
cons
957
ref
subst
trans
trans
appThm
1098
ref
454
ref
465
ref
4001
ref
4456
ref
appTerm
455
ref
appTerm
appTerm
4553
def
4003
ref
appTerm
absTerm
4554
def
455
ref
appTerm
4555
def
betaConv
60
ref
59
ref
4554
ref
appTerm
4556
def
absTerm
4557
def
63
ref
appTerm
4558
def
betaConv
nil
59
ref
4557
ref
appTerm
4559
def
axiom
nil
117
ref
4559
remove
nil
cons
cons
119
ref
4558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4557
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4556
remove
nil
cons
cons
119
ref
4555
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4554
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
311
ref
appThm
appThm
nil
149
ref
465
ref
4003
ref
appTerm
4560
def
63
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
4561
def
trans
appThm
4561
remove
trans
sym
1098
ref
454
ref
4560
ref
4001
ref
455
ref
appTerm
63
ref
appTerm
4562
def
appTerm
absTerm
4563
def
455
ref
appTerm
4564
def
betaConv
60
ref
59
ref
4563
ref
appTerm
4565
def
absTerm
4566
def
63
ref
appTerm
4567
def
betaConv
nil
59
ref
4566
ref
appTerm
4568
def
axiom
nil
117
ref
4568
remove
nil
cons
cons
119
ref
4567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4566
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4565
remove
nil
cons
cons
119
ref
4564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4563
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4569
def
appThm
311
ref
appThm
sym
nil
454
ref
514
ref
cons
4570
def
1445
ref
cons
4571
def
nil
cons
cons
4572
def
454
ref
120
ref
4560
ref
455
ref
appTerm
4573
def
appTerm
4315
ref
appTerm
4574
def
absTerm
4575
def
455
ref
appTerm
4576
def
betaConv
60
ref
59
ref
4575
ref
appTerm
4577
def
absTerm
4578
def
63
ref
appTerm
4579
def
betaConv
298
ref
60
ref
298
ref
454
ref
4574
remove
assume
sym
4476
ref
4573
remove
appTerm
4580
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
59
ref
60
ref
59
ref
454
ref
4580
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
59
ref
4578
ref
appTerm
nil
cons
cons
119
ref
4579
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4578
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4577
remove
nil
cons
cons
119
ref
4576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4575
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
149
ref
4508
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
4581
def
4500
ref
assume
eqMp
4582
def
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
117
ref
498
ref
43
ref
3882
ref
4456
ref
appTerm
455
ref
appTerm
appTerm
4553
remove
63
ref
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
31
ref
349
ref
4503
ref
appTerm
1223
ref
appTerm
appTerm
227
ref
appTerm
nil
cons
4583
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2815
ref
514
ref
cons
4584
def
4538
ref
cons
nil
cons
cons
nil
117
ref
43
ref
62
ref
2816
ref
appTerm
4585
def
appTerm
4586
def
43
ref
3884
ref
appTerm
4560
remove
2816
ref
appTerm
4587
def
appTerm
4588
def
appTerm
4589
def
nil
cons
4590
def
cons
119
ref
31
ref
4054
ref
appTerm
4591
def
221
ref
2816
ref
appTerm
4592
def
appTerm
4593
def
nil
cons
4594
def
cons
nil
cons
cons
nil
cons
cons
4595
def
136
ref
subst
4595
remove
195
ref
subst
nil
162
ref
4585
ref
nil
cons
4596
def
cons
4597
def
164
ref
4588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4598
def
178
ref
subst
4598
remove
436
ref
subst
nil
162
ref
4065
remove
cons
164
ref
4587
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4599
def
178
ref
subst
4599
remove
436
ref
subst
120
ref
"_11556"
49
ref
var
4600
def
4591
ref
221
ref
4600
remove
varTerm
appTerm
appTerm
absTerm
4601
def
2816
ref
appTerm
4602
def
appTerm
refl
4601
ref
4003
ref
appTerm
betaConv
appThm
166
ref
4602
remove
betaConv
appThm
4591
ref
4051
ref
appTerm
4603
def
refl
appThm
trans
4601
remove
refl
4587
remove
assume
sym
4604
def
appThm
eqMp
sym
2443
ref
4112
remove
4205
remove
appThm
1255
remove
2422
ref
subst
trans
appThm
454
ref
120
ref
4029
ref
appTerm
4028
ref
appTerm
4605
def
absTerm
4606
def
455
ref
appTerm
4607
def
betaConv
60
ref
59
ref
4606
ref
appTerm
4608
def
absTerm
4609
def
63
ref
appTerm
4610
def
betaConv
298
ref
60
ref
298
ref
454
ref
4605
remove
assume
sym
4030
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
4037
remove
eqMp
nil
117
ref
59
ref
4609
ref
appTerm
nil
cons
cons
119
ref
4610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4609
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4608
remove
nil
cons
cons
119
ref
4607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4606
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
149
ref
4028
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
120
ref
"_11558"
49
ref
var
4611
def
62
ref
4611
remove
varTerm
appTerm
absTerm
4612
def
2816
ref
appTerm
4613
def
appTerm
refl
4612
ref
4003
ref
appTerm
betaConv
appThm
166
ref
4613
remove
betaConv
appThm
4028
ref
refl
appThm
trans
4612
remove
refl
4604
remove
appThm
eqMp
4585
ref
assume
4614
def
eqMp
eqMp
trans
trans
sym
155
ref
eqMp
4058
remove
proveHyp
4210
remove
eqMp
nil
117
ref
4056
ref
cons
4615
def
119
ref
4603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
212
ref
4196
ref
cons
4616
def
243
ref
4054
ref
nil
cons
4617
def
cons
nil
cons
4618
def
cons
nil
cons
cons
272
ref
1183
remove
subst
4619
def
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
4590
remove
cons
164
ref
4594
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
4620
def
subst
eqMp
nil
117
ref
4583
remove
cons
4506
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1
remove
1314
ref
cons
4511
remove
636
ref
cons
2641
remove
4503
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4518
remove
4513
ref
appTerm
4621
def
betaConv
4520
remove
53
remove
appTerm
4622
def
betaConv
4522
ref
2647
remove
appTerm
4623
def
betaConv
nil
117
ref
17
ref
4522
remove
appTerm
nil
cons
cons
119
ref
4623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
4523
remove
4536
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4524
remove
cons
119
ref
4622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4525
remove
212
ref
4534
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4526
remove
cons
119
ref
4621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4527
remove
212
ref
4513
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
4502
remove
cons
164
ref
4505
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
4624
def
subst
eqMp
nil
117
ref
4498
remove
cons
119
ref
31
ref
4496
ref
appTerm
84
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
4495
remove
refl
4348
ref
assume
appThm
nil
4326
remove
nil
cons
nil
cons
cons
32
ref
31
ref
606
ref
36
ref
appTerm
4625
def
36
ref
appTerm
appTerm
84
ref
appTerm
absTerm
4626
def
36
ref
appTerm
4627
def
betaConv
nil
17
ref
4626
ref
appTerm
4628
def
axiom
nil
117
ref
4628
remove
nil
cons
cons
119
ref
4627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4626
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
trans
eqMp
eqMp
210
ref
211
ref
4494
ref
nil
cons
cons
212
ref
4496
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
ref
4494
remove
appTerm
nil
cons
cons
119
ref
4492
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"z"
0
ref
var
213
ref
cons
4467
remove
cons
nil
cons
cons
272
ref
"z"
9
ref
var
4629
def
7
ref
451
ref
14
ref
43
ref
26
ref
appTerm
1162
ref
4629
ref
varTerm
4630
def
appTerm
appTerm
4631
def
absTerm
4632
def
appTerm
4633
def
appTerm
4634
def
24
ref
4630
ref
appTerm
4635
def
appTerm
4636
def
absTerm
4637
def
4630
ref
appTerm
4638
def
betaConv
13
ref
12
ref
4637
ref
appTerm
4639
def
absTerm
4640
def
23
ref
appTerm
4641
def
betaConv
nil
12
ref
13
ref
12
ref
14
ref
12
ref
4629
ref
7
ref
4631
ref
appTerm
4635
ref
appTerm
absTerm
4642
def
appTerm
4643
def
absTerm
4644
def
appTerm
4645
def
absTerm
4646
def
appTerm
4647
def
axiom
nil
117
ref
4647
ref
nil
cons
4648
def
cons
4649
def
119
ref
12
ref
4640
ref
appTerm
nil
cons
4650
def
cons
nil
cons
cons
nil
cons
cons
4651
def
187
ref
subst
proveHyp
4651
ref
136
ref
subst
4651
remove
195
ref
subst
nil
188
ref
4640
remove
nil
cons
cons
4652
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
4639
remove
nil
cons
4653
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
4637
remove
nil
cons
cons
4654
def
nil
cons
nil
cons
cons
370
ref
subst
4629
ref
nil
149
ref
4636
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4633
remove
nil
cons
4655
def
cons
4656
def
119
ref
4635
ref
nil
cons
4657
def
cons
nil
cons
4658
def
cons
nil
cons
cons
4659
def
136
ref
subst
4659
remove
195
ref
subst
nil
4649
ref
4658
ref
cons
nil
cons
cons
4660
def
187
ref
subst
nil
4656
remove
119
ref
7
ref
4647
remove
appTerm
4635
ref
appTerm
4661
def
nil
cons
4662
def
cons
nil
cons
4663
def
cons
nil
cons
cons
187
ref
subst
nil
188
ref
14
ref
7
ref
4632
ref
25
ref
appTerm
4664
def
appTerm
4661
ref
appTerm
4665
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
4665
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4664
ref
nil
cons
4666
def
cons
4663
ref
cons
nil
cons
cons
4667
def
136
ref
subst
4667
remove
195
ref
subst
4664
ref
betaConv
4664
remove
assume
eqMp
nil
117
ref
4631
remove
nil
cons
4668
def
cons
4669
def
4663
remove
cons
nil
cons
cons
4670
def
187
ref
subst
proveHyp
4670
ref
136
ref
subst
4670
remove
195
ref
subst
4660
ref
136
ref
subst
4660
remove
195
ref
subst
nil
4669
remove
4658
remove
cons
nil
cons
cons
187
ref
subst
4642
ref
4630
ref
appTerm
4671
def
betaConv
4644
ref
25
ref
appTerm
4672
def
betaConv
4646
ref
23
ref
appTerm
4673
def
betaConv
nil
4649
remove
119
ref
4673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
4646
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4645
remove
nil
cons
cons
119
ref
4672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4644
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4643
remove
nil
cons
cons
119
ref
4671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4642
remove
nil
cons
cons
13
ref
4630
ref
nil
cons
cons
nil
cons
4674
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
4648
remove
cons
4675
def
164
ref
4657
ref
cons
nil
cons
4676
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
4668
remove
cons
164
ref
4662
remove
cons
nil
cons
4677
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
4666
remove
cons
4677
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3462
ref
7
ref
4632
ref
3463
ref
appTerm
appTerm
4661
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
4634
remove
4661
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4632
remove
nil
cons
cons
4677
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
4655
remove
cons
4676
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4675
remove
164
ref
4650
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
4650
remove
cons
119
ref
4641
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
4652
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4653
remove
cons
119
ref
4638
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
4654
remove
4674
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
117
ref
4340
ref
4475
remove
appTerm
nil
cons
cons
119
ref
4473
ref
cons
nil
cons
4678
def
cons
nil
cons
cons
187
ref
subst
proveHyp
4310
remove
454
ref
7
ref
4316
ref
4500
ref
appTerm
appTerm
3899
ref
appTerm
absTerm
4679
def
455
ref
appTerm
4680
def
betaConv
60
ref
59
ref
4679
ref
appTerm
4681
def
absTerm
4682
def
63
ref
appTerm
4683
def
betaConv
nil
59
ref
4682
ref
appTerm
4684
def
axiom
nil
117
ref
4684
remove
nil
cons
cons
119
ref
4683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4682
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4681
remove
nil
cons
cons
119
ref
4680
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4679
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
4685
def
eqMp
eqMp
eqMp
nil
4471
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
4354
remove
cons
164
ref
4355
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
4686
def
nil
59
ref
4303
ref
59
ref
4304
ref
7
ref
43
ref
4311
ref
4307
ref
appTerm
4305
ref
appTerm
appTerm
4324
ref
appTerm
appTerm
2568
ref
4327
ref
appTerm
4325
ref
appTerm
appTerm
absTerm
4687
def
appTerm
4688
def
absTerm
4689
def
appTerm
4690
def
thm
nil
512
ref
4303
ref
59
ref
4304
ref
7
ref
4340
ref
4324
remove
appTerm
4691
def
appTerm
4346
remove
appTerm
4692
def
absTerm
4693
def
appTerm
4694
def
absTerm
4695
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4303
ref
nil
149
ref
4694
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
4693
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4304
ref
nil
149
ref
4692
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4691
remove
nil
cons
4696
def
cons
119
ref
4469
ref
cons
nil
cons
cons
nil
cons
cons
4697
def
136
ref
subst
4697
remove
195
ref
subst
nil
4361
ref
4358
remove
cons
nil
cons
cons
4698
def
178
ref
subst
4698
remove
436
ref
subst
4468
ref
proveHyp
proveHyp
eqMp
nil
162
ref
4696
remove
cons
164
ref
4469
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
4699
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
4695
remove
appTerm
thm
nil
211
ref
379
ref
17
ref
32
ref
7
ref
43
ref
446
ref
2313
remove
appTerm
382
ref
appTerm
appTerm
2727
ref
2317
remove
appTerm
36
ref
appTerm
appTerm
4700
def
appTerm
2730
ref
2324
remove
appTerm
2739
ref
appTerm
4701
def
appTerm
4702
def
absTerm
4703
def
appTerm
4704
def
absTerm
4705
def
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
4704
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
4703
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
4702
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4700
remove
nil
cons
4706
def
cons
4707
def
119
ref
4701
remove
nil
cons
4708
def
cons
nil
cons
4709
def
cons
nil
cons
cons
4710
def
136
ref
subst
4710
remove
195
ref
subst
nil
4707
remove
119
ref
104
ref
2329
ref
2730
ref
2345
remove
appTerm
2739
ref
appTerm
absTerm
appTerm
nil
cons
4711
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2348
remove
32
ref
2738
remove
104
ref
2329
ref
2740
ref
absTerm
4712
def
appTerm
4713
def
appTerm
4714
def
absTerm
4715
def
36
ref
appTerm
4716
def
betaConv
379
ref
17
ref
4715
ref
appTerm
4717
def
absTerm
4718
def
382
ref
appTerm
4719
def
betaConv
2347
ref
17
ref
4718
ref
appTerm
4720
def
absTerm
4721
def
2349
ref
appTerm
4722
def
betaConv
60
ref
2365
ref
4721
ref
appTerm
4723
def
absTerm
4724
def
63
ref
appTerm
4725
def
betaConv
nil
2391
ref
2329
ref
59
ref
60
ref
2365
ref
2347
ref
4256
remove
absTerm
4726
def
appTerm
4727
def
absTerm
4728
def
appTerm
4729
def
absTerm
4730
def
nil
cons
cons
4731
def
nil
cons
nil
cons
cons
2395
ref
subst
2329
ref
nil
149
ref
4729
remove
nil
cons
4732
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
4728
ref
nil
cons
cons
4733
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
4727
remove
nil
cons
4734
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
4726
ref
nil
cons
cons
4735
def
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
4257
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
4255
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4736
def
nil
117
ref
104
ref
4730
ref
appTerm
4737
def
nil
cons
4738
def
cons
4739
def
119
ref
59
ref
4724
ref
appTerm
nil
cons
4740
def
cons
nil
cons
cons
nil
cons
cons
4741
def
187
ref
subst
proveHyp
4741
ref
136
ref
subst
4741
remove
195
ref
subst
nil
512
ref
4724
remove
nil
cons
cons
4742
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
4723
remove
nil
cons
4743
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
4721
remove
nil
cons
cons
4744
def
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
4720
remove
nil
cons
4745
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
4718
remove
nil
cons
cons
4746
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
4717
remove
nil
cons
4747
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
4715
remove
nil
cons
cons
4748
def
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
4714
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
3333
ref
119
ref
4713
remove
nil
cons
4749
def
cons
nil
cons
cons
nil
cons
cons
4750
def
136
ref
subst
4750
remove
195
ref
subst
nil
2391
ref
4712
remove
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2329
ref
nil
149
ref
2740
remove
nil
cons
4751
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
3333
remove
119
ref
4751
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2742
remove
36
ref
appTerm
4752
def
betaConv
2744
remove
382
ref
appTerm
4753
def
betaConv
4726
remove
2349
ref
appTerm
4754
def
betaConv
4728
remove
63
ref
appTerm
4755
def
betaConv
4730
remove
2343
remove
appTerm
4756
def
betaConv
nil
4739
remove
119
ref
4756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
4731
remove
2401
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4732
remove
cons
119
ref
4755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
4733
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4734
remove
cons
119
ref
4754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
4735
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
4258
remove
119
ref
4753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
2746
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
2747
remove
cons
119
ref
4752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
2748
remove
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
4246
remove
164
ref
4749
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
4738
remove
cons
164
ref
4740
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
4740
remove
cons
119
ref
4725
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
4742
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4743
remove
cons
119
ref
4722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
4744
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4745
remove
cons
119
ref
4719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4746
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4747
remove
cons
119
ref
4716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4748
remove
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
nil
117
ref
4711
remove
cons
4709
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
2406
ref
2329
remove
2772
ref
2423
remove
appThm
2739
ref
refl
4757
def
appThm
absThm
appThm
nil
149
ref
2730
remove
2424
remove
appTerm
2739
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
4758
def
2426
ref
subst
trans
appThm
2772
remove
2437
remove
appThm
4757
remove
appThm
appThm
4758
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
4706
remove
cons
164
ref
4708
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
17
ref
4705
remove
appTerm
thm
237
ref
32
ref
2628
ref
refl
2661
remove
2616
ref
1780
ref
379
ref
2662
remove
32
ref
4382
remove
2632
ref
appTerm
4759
def
absTerm
4760
def
36
ref
appTerm
4761
def
betaConv
379
ref
17
ref
4760
ref
appTerm
4762
def
absTerm
4763
def
382
ref
appTerm
4764
def
betaConv
237
ref
379
ref
237
ref
32
ref
4759
remove
assume
sym
120
ref
2632
ref
appTerm
4765
def
2584
ref
appTerm
4766
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
17
ref
379
ref
17
ref
32
ref
4766
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
17
ref
4763
ref
appTerm
nil
cons
cons
119
ref
4764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4763
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4762
remove
nil
cons
cons
119
ref
4761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4760
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
2569
ref
refl
397
ref
781
remove
subst
appThm
trans
appThm
absThm
appThm
absThm
appThm
appThm
350
ref
431
ref
appTerm
4767
def
refl
4768
def
appThm
nil
32
ref
4767
ref
nil
cons
4769
def
cons
4770
def
nil
cons
nil
cons
cons
2660
remove
2684
remove
2686
remove
nil
117
ref
2682
remove
cons
119
ref
2683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
2685
remove
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
trans
absThm
appThm
296
ref
trans
sym
155
ref
eqMp
4771
def
nil
17
ref
32
ref
2628
remove
2615
remove
2616
remove
886
ref
379
ref
2617
remove
2584
ref
appTerm
absTerm
appTerm
absTerm
appTerm
4772
def
appTerm
4767
ref
appTerm
absTerm
appTerm
thm
nil
512
ref
60
ref
120
ref
498
ref
2469
ref
227
ref
appTerm
4773
def
431
ref
appTerm
appTerm
appTerm
451
ref
452
ref
4314
ref
2294
ref
appTerm
absTerm
appTerm
4774
def
appTerm
4775
def
absTerm
4776
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
4775
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
166
ref
331
ref
nil
379
ref
333
remove
nil
cons
cons
nil
cons
nil
cons
cons
379
ref
31
ref
384
ref
84
ref
appTerm
appTerm
382
ref
appTerm
absTerm
4777
def
382
ref
appTerm
4778
def
betaConv
nil
17
ref
4777
ref
appTerm
4779
def
axiom
nil
117
ref
4779
remove
nil
cons
cons
119
ref
4778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4777
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
4780
def
nil
379
ref
441
ref
cons
329
ref
"p"
0
ref
var
4781
def
441
remove
cons
nil
cons
cons
4782
def
cons
nil
cons
cons
120
ref
"_10100"
0
ref
var
4783
def
120
ref
2469
ref
36
ref
appTerm
4784
def
4783
remove
varTerm
appTerm
appTerm
141
ref
appTerm
absTerm
4785
def
4781
ref
varTerm
4786
def
appTerm
4787
def
appTerm
refl
4785
ref
385
ref
appTerm
betaConv
appThm
166
ref
4787
remove
betaConv
appThm
120
ref
4784
ref
385
ref
appTerm
4788
def
appTerm
141
ref
appTerm
refl
appThm
trans
4785
remove
refl
31
ref
385
ref
appTerm
4789
def
4786
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
149
ref
4788
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
32
ref
4788
remove
absTerm
4790
def
36
ref
appTerm
4791
def
betaConv
379
ref
17
ref
4790
ref
appTerm
4792
def
absTerm
4793
def
382
ref
appTerm
4794
def
betaConv
nil
17
ref
4793
ref
appTerm
4795
def
axiom
nil
117
ref
4795
remove
nil
cons
cons
119
ref
4794
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4793
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4792
remove
nil
cons
cons
119
ref
4791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4790
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
4796
def
eqMp
subst
deductAntisym
4780
remove
eqMp
appThm
1675
ref
363
ref
appThm
420
remove
440
remove
trans
4797
def
nil
379
ref
213
remove
cons
4782
remove
cons
nil
cons
cons
120
ref
"_10125"
0
ref
var
4798
def
120
ref
4384
ref
4798
remove
varTerm
appTerm
appTerm
539
ref
appTerm
absTerm
4799
def
4786
ref
appTerm
4800
def
appTerm
refl
4799
ref
386
ref
appTerm
betaConv
appThm
166
ref
4800
remove
betaConv
appThm
120
ref
4384
ref
386
ref
appTerm
4801
def
appTerm
539
ref
appTerm
refl
appThm
trans
4799
remove
refl
31
ref
386
ref
appTerm
4802
def
4786
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
149
ref
4801
remove
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
537
ref
nil
32
ref
386
ref
nil
cons
4803
def
cons
381
ref
cons
nil
cons
cons
4804
def
32
ref
120
ref
3536
ref
appTerm
4805
def
4330
ref
4784
ref
382
ref
appTerm
4806
def
appTerm
4807
def
appTerm
4808
def
absTerm
4809
def
36
ref
appTerm
4810
def
betaConv
379
ref
17
ref
4809
ref
appTerm
4811
def
absTerm
4812
def
382
ref
appTerm
4813
def
betaConv
237
ref
379
ref
237
ref
32
ref
4808
remove
assume
sym
120
ref
4807
remove
appTerm
3536
ref
appTerm
4814
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
17
ref
379
ref
17
ref
32
ref
4814
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
17
ref
4812
ref
appTerm
nil
cons
cons
119
ref
4813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4812
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4811
remove
nil
cons
cons
119
ref
4810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4809
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4815
def
subst
appThm
nil
2106
ref
2469
ref
386
ref
appTerm
36
ref
appTerm
nil
cons
cons
2107
ref
4784
ref
386
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2106
ref
120
ref
19
ref
3700
ref
appTerm
appTerm
883
ref
19
ref
2109
ref
appTerm
4816
def
appTerm
19
ref
2111
ref
appTerm
4817
def
appTerm
appTerm
absTerm
4818
def
2111
ref
appTerm
4819
def
betaConv
2107
ref
280
ref
4818
ref
appTerm
4820
def
absTerm
4821
def
2109
ref
appTerm
4822
def
betaConv
nil
280
ref
4821
ref
appTerm
4823
def
axiom
nil
117
ref
4823
remove
nil
cons
cons
119
ref
4822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4821
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4820
remove
nil
cons
cons
119
ref
4819
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4818
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4824
def
subst
trans
trans
sym
1675
ref
4804
ref
32
ref
120
ref
19
ref
2584
ref
appTerm
4825
def
appTerm
2671
ref
382
ref
appTerm
4826
def
appTerm
4827
def
absTerm
4828
def
36
ref
appTerm
4829
def
betaConv
379
ref
17
ref
4828
ref
appTerm
4830
def
absTerm
4831
def
382
ref
appTerm
4832
def
betaConv
nil
17
ref
4831
ref
appTerm
4833
def
axiom
4834
def
nil
117
ref
4833
remove
nil
cons
cons
119
ref
4832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4831
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4830
remove
nil
cons
cons
119
ref
4829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4828
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4835
def
subst
nil
379
ref
4803
remove
cons
nil
cons
nil
cons
cons
4836
def
32
ref
2571
remove
886
ref
4383
ref
4384
ref
384
ref
35
ref
4385
ref
appTerm
4837
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4838
def
36
ref
appTerm
4839
def
betaConv
379
ref
17
ref
4838
ref
appTerm
4840
def
absTerm
4841
def
382
ref
appTerm
4842
def
betaConv
nil
17
ref
4841
ref
appTerm
4843
def
axiom
nil
117
ref
4843
remove
nil
cons
cons
119
ref
4842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4841
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4840
remove
nil
cons
cons
119
ref
4839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4838
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4844
def
subst
trans
1780
ref
4383
ref
4384
ref
refl
4845
def
nil
32
ref
4837
remove
nil
cons
cons
379
ref
4026
ref
cons
nil
cons
4846
def
cons
nil
cons
cons
395
remove
subst
313
ref
nil
32
ref
4385
ref
nil
cons
4847
def
cons
4848
def
4846
remove
cons
nil
cons
cons
404
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
4836
remove
4835
ref
subst
4804
remove
4844
remove
subst
trans
1780
ref
4383
ref
4802
ref
refl
nil
4848
ref
381
ref
cons
nil
cons
cons
4849
def
404
remove
subst
appThm
absThm
appThm
trans
appThm
sym
nil
117
ref
883
ref
886
ref
4383
ref
4384
ref
35
ref
35
ref
349
ref
385
ref
appTerm
4850
def
4385
ref
appTerm
appTerm
appTerm
appTerm
4851
def
absTerm
4852
def
appTerm
4853
def
appTerm
886
ref
4383
ref
4802
ref
35
ref
350
ref
4385
ref
appTerm
4854
def
appTerm
appTerm
4855
def
absTerm
4856
def
appTerm
4857
def
appTerm
4858
def
nil
cons
cons
nil
cons
nil
cons
cons
1609
remove
subst
sym
nil
117
ref
19
ref
4858
remove
appTerm
4859
def
nil
cons
4860
def
cons
549
ref
cons
nil
cons
cons
4861
def
136
ref
subst
4861
remove
195
ref
subst
nil
17
ref
379
ref
17
ref
32
ref
4789
ref
350
ref
382
ref
appTerm
4862
def
appTerm
4863
def
absTerm
4864
def
appTerm
4865
def
absTerm
4866
def
appTerm
4867
def
axiom
4868
def
nil
117
ref
4867
remove
nil
cons
4869
def
cons
4870
def
549
ref
cons
nil
cons
cons
4871
def
187
ref
subst
proveHyp
4871
ref
136
ref
subst
4871
remove
195
ref
subst
nil
"_2286"
0
ref
var
4872
def
347
ref
cons
"_2285"
0
ref
var
4873
def
393
ref
cons
nil
cons
cons
nil
cons
cons
32
ref
31
ref
349
ref
4873
remove
varTerm
4874
def
appTerm
36
ref
appTerm
appTerm
350
ref
4874
ref
appTerm
appTerm
absTerm
4875
def
4872
remove
varTerm
4876
def
appTerm
4877
def
betaConv
4866
ref
4874
ref
appTerm
4878
def
betaConv
nil
4870
ref
119
ref
4878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
4866
ref
nil
cons
cons
4879
def
212
ref
4874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
17
ref
4875
ref
appTerm
nil
cons
cons
119
ref
4877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4875
remove
nil
cons
cons
212
ref
4876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
nil
117
ref
4863
remove
nil
cons
cons
119
ref
4802
ref
35
ref
4862
ref
appTerm
appTerm
nil
cons
4880
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"_10132"
0
ref
var
4881
def
4862
remove
nil
cons
cons
"_10131"
0
ref
var
4882
def
4026
remove
cons
nil
cons
cons
nil
cons
cons
nil
117
ref
31
ref
4882
remove
varTerm
4883
def
appTerm
4881
remove
varTerm
4884
def
appTerm
4885
def
nil
cons
4886
def
cons
119
ref
31
ref
35
ref
4883
remove
appTerm
appTerm
35
ref
4884
remove
appTerm
appTerm
nil
cons
4887
def
cons
nil
cons
cons
nil
cons
cons
4888
def
136
ref
subst
4888
remove
195
ref
subst
313
ref
4885
remove
assume
appThm
eqMp
nil
162
ref
4886
remove
cons
164
ref
4887
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
117
ref
4880
remove
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"_10130"
0
ref
var
4889
def
393
remove
cons
nil
cons
nil
cons
cons
nil
117
ref
4802
remove
35
ref
350
ref
4889
remove
varTerm
4890
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2168
remove
subst
4383
ref
19
ref
4855
remove
appTerm
absTerm
4891
def
4890
ref
appTerm
4892
def
betaConv
nil
117
ref
4853
remove
nil
cons
cons
119
ref
4857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1657
ref
119
ref
120
ref
19
ref
1937
remove
123
ref
appTerm
appTerm
appTerm
1742
remove
1659
ref
appTerm
appTerm
nil
cons
4893
def
cons
nil
cons
4894
def
cons
nil
cons
cons
4895
def
136
ref
subst
4895
remove
195
ref
subst
120
ref
"_538"
3
ref
var
4896
def
120
ref
19
ref
883
ref
4896
remove
varTerm
4897
def
appTerm
123
ref
appTerm
appTerm
appTerm
43
ref
19
ref
4897
remove
appTerm
appTerm
1659
ref
appTerm
appTerm
absTerm
4898
def
121
ref
appTerm
4899
def
appTerm
refl
4900
def
4898
ref
539
ref
appTerm
betaConv
appThm
166
ref
4899
remove
betaConv
appThm
4901
def
120
ref
19
ref
1699
ref
123
ref
appTerm
appTerm
appTerm
1752
ref
1659
ref
appTerm
appTerm
refl
appThm
trans
4898
remove
refl
4902
def
1672
ref
appThm
eqMp
sym
166
ref
537
ref
1756
remove
appThm
appThm
1755
ref
1677
ref
appThm
1762
remove
trans
appThm
1704
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1685
ref
164
ref
4893
ref
cons
nil
cons
4903
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1689
ref
4894
remove
cons
nil
cons
cons
4904
def
136
ref
subst
4904
remove
195
ref
subst
4900
remove
"_536"
3
ref
var
4905
def
120
ref
19
ref
883
ref
4905
remove
varTerm
4906
def
appTerm
123
ref
appTerm
appTerm
appTerm
43
ref
19
ref
4906
remove
appTerm
appTerm
1659
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
4901
remove
120
ref
19
ref
1680
ref
123
ref
appTerm
appTerm
appTerm
1761
ref
1659
ref
appTerm
appTerm
refl
appThm
trans
4902
remove
1695
ref
appThm
eqMp
sym
166
ref
537
ref
159
remove
1684
ref
subst
appThm
744
ref
trans
appThm
1763
ref
1677
remove
appThm
1754
remove
trans
appThm
1112
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1705
ref
4903
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1707
ref
nil
1705
ref
1708
ref
1064
ref
4893
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
306
ref
nil
211
ref
4852
ref
nil
cons
cons
nil
cons
nil
cons
cons
272
ref
1775
remove
subst
4907
def
subst
237
ref
4383
ref
537
ref
4852
remove
4385
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
211
ref
4856
ref
nil
cons
cons
nil
cons
nil
cons
cons
4907
remove
subst
237
ref
4383
ref
537
ref
4856
remove
4385
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
4859
remove
assume
eqMp
nil
162
ref
17
ref
4383
ref
19
ref
4851
remove
appTerm
absTerm
appTerm
nil
cons
cons
164
ref
17
ref
4891
ref
appTerm
nil
cons
4908
def
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
proveHyp
nil
117
ref
4908
remove
cons
119
ref
4892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4891
remove
nil
cons
cons
212
ref
4890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
162
ref
4869
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
4860
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
4797
remove
eqMp
appThm
3792
ref
trans
appThm
964
ref
trans
sym
155
ref
eqMp
nil
117
ref
120
ref
2495
ref
431
ref
appTerm
appTerm
883
ref
1017
ref
84
ref
appTerm
appTerm
1017
remove
431
ref
appTerm
appTerm
appTerm
4909
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
120
ref
4784
ref
431
ref
appTerm
appTerm
883
ref
4384
ref
84
ref
appTerm
4910
def
appTerm
4911
def
4384
ref
431
ref
appTerm
appTerm
appTerm
4912
def
appTerm
120
ref
2469
ref
37
ref
appTerm
4913
def
431
ref
appTerm
appTerm
883
ref
1019
remove
appTerm
430
ref
431
ref
appTerm
appTerm
appTerm
4914
def
appTerm
4915
def
absTerm
4916
def
appTerm
4917
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
4916
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
4915
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4912
ref
nil
cons
4918
def
cons
119
ref
4914
remove
nil
cons
4919
def
cons
nil
cons
cons
nil
cons
cons
4920
def
136
ref
subst
4920
remove
195
ref
subst
166
ref
4913
ref
refl
4921
def
421
ref
appThm
nil
329
ref
381
ref
cons
nil
cons
cons
4922
def
2591
ref
subst
397
ref
379
ref
120
ref
2583
ref
84
ref
appTerm
appTerm
885
remove
appTerm
absTerm
4923
def
382
ref
appTerm
4924
def
betaConv
nil
17
ref
4923
ref
appTerm
4925
def
axiom
nil
117
ref
4925
remove
nil
cons
cons
119
ref
4924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4923
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4926
def
subst
trans
trans
appThm
1675
ref
4230
ref
appThm
430
remove
refl
421
ref
appThm
4922
ref
3543
ref
subst
trans
appThm
nil
149
ref
4910
ref
nil
cons
4927
def
cons
nil
cons
nil
cons
cons
4928
def
1703
ref
subst
trans
appThm
nil
284
ref
4927
ref
cons
nil
cons
4929
def
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
4918
remove
cons
164
ref
4919
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
4909
remove
appTerm
4917
remove
appTerm
nil
cons
cons
119
ref
17
ref
32
ref
4912
remove
absTerm
4930
def
appTerm
nil
cons
4931
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
4930
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
4930
ref
36
ref
appTerm
4932
def
betaConv
4933
def
appThm
4930
ref
37
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
4933
ref
absThm
appThm
appThm
nil
409
ref
4930
remove
nil
cons
4934
def
cons
nil
cons
nil
cons
cons
416
ref
subst
eqMp
eqMp
166
ref
2443
ref
1016
remove
4933
remove
nil
117
ref
4931
remove
cons
119
ref
4932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
4934
remove
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
appThm
4774
remove
refl
4935
def
appThm
sym
166
ref
nil
1069
ref
499
ref
431
ref
appTerm
nil
cons
cons
119
ref
948
remove
cons
3391
ref
cons
cons
nil
cons
cons
1069
ref
120
ref
126
ref
883
ref
123
ref
appTerm
1070
ref
appTerm
appTerm
appTerm
883
ref
127
remove
appTerm
126
ref
1070
ref
appTerm
appTerm
appTerm
absTerm
4936
def
1070
ref
appTerm
4937
def
betaConv
119
ref
280
ref
4936
ref
appTerm
4938
def
absTerm
4939
def
123
ref
appTerm
4940
def
betaConv
117
ref
280
ref
4939
ref
appTerm
4941
def
absTerm
4942
def
121
ref
appTerm
4943
def
betaConv
nil
280
ref
4942
ref
appTerm
4944
def
axiom
nil
117
ref
4944
remove
nil
cons
cons
119
ref
4943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4942
remove
nil
cons
cons
1607
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4941
remove
nil
cons
cons
119
ref
4940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4939
remove
nil
cons
cons
1214
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4938
remove
nil
cons
cons
119
ref
4937
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
4936
remove
nil
cons
cons
3386
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
1675
ref
331
ref
32
ref
120
ref
501
ref
appTerm
4945
def
496
ref
appTerm
4946
def
absTerm
4947
def
36
ref
appTerm
4948
def
betaConv
60
ref
17
ref
4947
ref
appTerm
4949
def
absTerm
4950
def
63
ref
appTerm
4951
def
betaConv
298
ref
60
ref
237
ref
32
ref
4946
remove
assume
sym
502
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
509
remove
eqMp
nil
117
ref
59
ref
4950
ref
appTerm
nil
cons
cons
119
ref
4951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4950
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4949
remove
nil
cons
cons
119
ref
4948
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4947
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4952
def
subst
appThm
nil
442
remove
nil
cons
4953
def
nil
cons
cons
4952
remove
subst
appThm
trans
appThm
4935
ref
appThm
sym
166
ref
1675
ref
1569
ref
appThm
447
remove
refl
421
ref
appThm
331
remove
1533
ref
subst
trans
1198
ref
452
ref
166
ref
1216
ref
454
ref
43
ref
456
ref
84
ref
appTerm
4954
def
appTerm
refl
454
ref
470
remove
absTerm
4955
def
455
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
4955
ref
56
ref
appTerm
betaConv
appThm
nil
512
ref
4955
remove
nil
cons
cons
nil
cons
nil
cons
cons
2254
remove
subst
eqMp
absThm
appThm
trans
1198
ref
452
ref
nil
162
ref
466
remove
2294
ref
appTerm
4956
def
nil
cons
4957
def
cons
4958
def
nil
cons
nil
cons
cons
2265
remove
subst
absThm
appThm
trans
appThm
appThm
4935
remove
appThm
sym
120
ref
883
ref
518
ref
appTerm
4959
def
451
ref
452
ref
4956
ref
absTerm
4960
def
appTerm
4961
def
appTerm
4962
def
appTerm
refl
1198
ref
452
ref
nil
454
ref
2294
remove
nil
cons
cons
nil
cons
nil
cons
cons
4963
def
454
ref
4476
remove
12
ref
13
ref
630
ref
1144
ref
appTerm
absTerm
appTerm
appTerm
absTerm
4964
def
455
ref
appTerm
4965
def
betaConv
60
ref
59
ref
4964
ref
appTerm
4966
def
absTerm
4967
def
63
ref
appTerm
4968
def
betaConv
nil
59
ref
4967
ref
appTerm
4969
def
axiom
nil
117
ref
4969
remove
nil
cons
cons
119
ref
4968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4967
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4966
remove
nil
cons
cons
119
ref
4965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4964
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4970
def
subst
236
ref
13
ref
631
ref
nil
14
ref
568
remove
cons
nil
cons
nil
cons
cons
14
ref
120
ref
79
ref
2269
remove
56
ref
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
4971
def
25
ref
appTerm
4972
def
betaConv
13
ref
12
ref
4971
ref
appTerm
4973
def
absTerm
4974
def
23
ref
appTerm
4975
def
betaConv
nil
12
ref
4974
ref
appTerm
4976
def
axiom
nil
117
ref
4976
remove
nil
cons
cons
119
ref
4975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4974
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4973
remove
nil
cons
cons
119
ref
4972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4971
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
4977
def
subst
4978
def
appThm
absThm
appThm
trans
absThm
appThm
appThm
sym
nil
117
ref
4962
ref
nil
cons
4979
def
cons
119
ref
451
ref
452
ref
12
ref
13
ref
630
ref
2858
ref
appTerm
4980
def
absTerm
4981
def
appTerm
4982
def
absTerm
4983
def
appTerm
4984
def
nil
cons
4985
def
cons
nil
cons
4986
def
cons
nil
cons
cons
4987
def
495
ref
subst
4987
ref
136
ref
subst
4987
remove
195
ref
subst
nil
188
ref
452
ref
7
ref
4960
ref
459
ref
appTerm
4988
def
appTerm
451
ref
3143
ref
12
ref
13
ref
630
ref
24
ref
3144
ref
appTerm
4989
def
appTerm
absTerm
appTerm
absTerm
appTerm
4990
def
appTerm
4991
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
4991
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4988
ref
nil
cons
4992
def
cons
119
ref
4990
ref
nil
cons
4993
def
cons
nil
cons
4994
def
cons
nil
cons
cons
4995
def
136
ref
subst
4995
remove
195
ref
subst
4988
ref
betaConv
4988
remove
assume
eqMp
nil
117
ref
4957
remove
cons
4994
remove
cons
nil
cons
cons
4996
def
187
ref
subst
proveHyp
4996
ref
136
ref
subst
4996
remove
195
ref
subst
1198
ref
"_11831"
9
ref
var
4997
def
236
ref
13
ref
235
ref
79
ref
refl
4998
def
4956
remove
assume
appThm
4978
ref
trans
appThm
24
ref
4997
remove
varTerm
appTerm
refl
appThm
absThm
appThm
absThm
appThm
sym
3143
ref
12
ref
13
ref
7
ref
2858
ref
appTerm
4999
def
4989
remove
appTerm
absTerm
appTerm
absTerm
5000
def
459
ref
appTerm
betaConv
sym
236
ref
13
ref
nil
149
ref
3252
ref
cons
nil
cons
nil
cons
cons
5001
def
318
ref
subst
absThm
appThm
297
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
5000
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
4958
remove
164
ref
4993
remove
cons
nil
cons
5002
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
4992
remove
cons
5002
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
4960
ref
23
ref
appTerm
appTerm
4990
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
4961
ref
appTerm
4990
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4960
remove
nil
cons
cons
5002
remove
cons
nil
cons
cons
947
ref
subst
eqMp
nil
1088
ref
4986
remove
cons
nil
cons
cons
5003
def
136
ref
subst
5003
remove
195
ref
subst
1198
ref
452
ref
236
ref
13
ref
235
ref
4998
ref
1091
ref
appThm
2263
ref
trans
appThm
2858
ref
refl
appThm
5001
remove
1062
ref
subst
trans
absThm
appThm
297
ref
trans
absThm
appThm
289
ref
149
ref
120
ref
451
ref
290
remove
appTerm
appTerm
152
ref
appTerm
absTerm
5004
def
152
ref
appTerm
5005
def
betaConv
nil
280
ref
5004
ref
appTerm
5006
def
axiom
nil
117
ref
5006
remove
nil
cons
cons
119
ref
5005
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5004
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5007
def
subst
trans
sym
155
ref
eqMp
eqMp
nil
541
ref
164
ref
4985
ref
cons
nil
cons
5008
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
541
ref
164
ref
4961
ref
nil
cons
5009
def
cons
5010
def
1064
ref
4985
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
4979
ref
cons
5008
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
4962
ref
appTerm
4984
ref
appTerm
nil
cons
cons
119
ref
7
ref
4984
remove
appTerm
4962
ref
appTerm
nil
cons
cons
nil
cons
5011
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
452
ref
7
ref
4983
ref
459
ref
appTerm
5012
def
appTerm
4962
ref
appTerm
5013
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
452
ref
nil
149
ref
5013
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5012
ref
nil
cons
5014
def
cons
119
ref
4979
ref
cons
nil
cons
5015
def
cons
nil
cons
cons
5016
def
136
ref
subst
5016
remove
195
ref
subst
5012
ref
betaConv
5012
remove
assume
eqMp
nil
117
ref
4982
remove
nil
cons
5017
def
cons
5018
def
5015
ref
cons
nil
cons
cons
5019
def
187
ref
subst
proveHyp
5019
ref
136
ref
subst
5019
remove
195
ref
subst
235
ref
1127
remove
appThm
4961
ref
refl
appThm
sym
nil
188
ref
2266
ref
7
ref
833
remove
2267
ref
appTerm
5020
def
appTerm
4961
ref
appTerm
5021
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
2266
remove
nil
149
ref
5021
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5020
ref
nil
cons
5022
def
cons
119
ref
5009
ref
cons
nil
cons
5023
def
cons
nil
cons
cons
5024
def
136
ref
subst
5024
remove
195
ref
subst
5020
ref
betaConv
5025
def
5020
remove
assume
eqMp
nil
117
ref
78
ref
2267
ref
appTerm
63
ref
appTerm
5026
def
nil
cons
5027
def
cons
5023
remove
cons
nil
cons
cons
5028
def
187
ref
subst
proveHyp
5028
ref
136
ref
subst
5028
remove
195
ref
subst
1198
ref
452
ref
4963
remove
3907
ref
subst
236
ref
13
ref
804
ref
refl
4978
remove
appThm
absThm
appThm
trans
absThm
appThm
sym
452
ref
12
ref
13
ref
804
ref
2858
remove
appTerm
5029
def
absTerm
5030
def
appTerm
absTerm
5031
def
459
ref
appTerm
betaConv
sym
nil
188
ref
5030
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5029
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
675
ref
119
ref
3252
remove
cons
nil
cons
cons
nil
cons
cons
495
ref
subst
4981
ref
23
ref
appTerm
5032
def
betaConv
nil
5018
ref
119
ref
5032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
4981
ref
nil
cons
cons
5033
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4980
remove
nil
cons
cons
119
ref
4999
remove
80
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
3258
remove
119
ref
640
ref
cons
nil
cons
cons
nil
cons
cons
5034
def
136
ref
subst
5034
remove
195
ref
subst
120
ref
"_11832"
9
ref
var
5035
def
78
ref
5035
remove
varTerm
appTerm
63
ref
appTerm
absTerm
5036
def
23
ref
appTerm
appTerm
refl
5036
ref
459
ref
appTerm
betaConv
5037
def
appThm
166
ref
854
ref
appThm
521
remove
refl
5038
def
appThm
trans
5036
remove
refl
5039
def
3267
remove
appThm
eqMp
sym
4981
remove
2267
ref
appTerm
5040
def
betaConv
nil
5018
remove
119
ref
5040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
5033
remove
13
ref
2268
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
5026
ref
appTerm
22
ref
2267
remove
appTerm
459
ref
appTerm
5041
def
appTerm
nil
cons
cons
119
ref
602
ref
cons
nil
cons
5042
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
nil
149
ref
5027
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
5026
ref
assume
5043
def
eqMp
appThm
5041
ref
refl
appThm
nil
149
ref
5041
ref
nil
cons
5044
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5038
remove
appThm
sym
nil
117
ref
5044
ref
cons
5042
remove
cons
nil
cons
cons
5045
def
136
ref
subst
5045
remove
195
ref
subst
120
ref
"_11834"
9
ref
var
5046
def
78
ref
5046
remove
varTerm
appTerm
63
ref
appTerm
absTerm
459
ref
appTerm
appTerm
refl
5025
remove
appThm
166
ref
5037
remove
appThm
5026
remove
refl
appThm
trans
5039
ref
5041
remove
assume
sym
appThm
eqMp
sym
5043
remove
eqMp
eqMp
nil
162
ref
5044
remove
cons
164
ref
602
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3253
remove
164
ref
640
ref
cons
nil
cons
5047
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
264
ref
188
ref
5031
remove
nil
cons
cons
569
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
162
ref
5027
remove
cons
5010
remove
nil
cons
5048
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5022
remove
cons
5048
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
848
ref
4961
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
1084
ref
4961
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
1085
ref
5048
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
519
ref
appTerm
4961
remove
appTerm
nil
cons
cons
5015
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
3178
ref
5009
remove
cons
1120
remove
cons
nil
cons
cons
nil
117
ref
120
ref
284
ref
varTerm
5049
def
appTerm
5050
def
539
ref
appTerm
5051
def
nil
cons
5052
def
cons
5053
def
119
ref
7
ref
7
ref
19
ref
5049
ref
appTerm
appTerm
3178
ref
varTerm
5054
def
appTerm
appTerm
883
ref
5049
ref
appTerm
5054
ref
appTerm
appTerm
nil
cons
5055
def
cons
nil
cons
5056
def
cons
nil
cons
cons
5057
def
136
ref
subst
5057
remove
195
ref
subst
120
ref
"_11829"
3
ref
var
5058
def
7
ref
7
ref
19
ref
5058
remove
varTerm
5059
def
appTerm
appTerm
5054
ref
appTerm
appTerm
883
ref
5059
remove
appTerm
5054
ref
appTerm
appTerm
absTerm
5060
def
5049
ref
appTerm
5061
def
appTerm
refl
5062
def
5060
ref
539
ref
appTerm
betaConv
appThm
166
ref
5061
remove
betaConv
appThm
5063
def
7
ref
1276
ref
5054
ref
appTerm
appTerm
1699
ref
5054
ref
appTerm
appTerm
refl
appThm
trans
5060
remove
refl
5064
def
5051
remove
assume
5065
def
appThm
eqMp
sym
235
ref
1375
ref
5054
ref
refl
5066
def
appThm
nil
149
ref
5054
ref
nil
cons
cons
nil
cons
nil
cons
cons
5067
def
305
ref
subst
5068
def
trans
appThm
5067
ref
1703
ref
subst
appThm
5067
ref
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
5052
ref
cons
5069
def
164
ref
5055
ref
cons
nil
cons
5070
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
5050
remove
141
ref
appTerm
5071
def
nil
cons
5072
def
cons
5073
def
5056
remove
cons
nil
cons
cons
5074
def
136
ref
subst
5074
remove
195
ref
subst
5062
remove
"_11827"
3
ref
var
5075
def
7
ref
7
ref
19
ref
5075
remove
varTerm
5076
def
appTerm
appTerm
5054
ref
appTerm
appTerm
883
ref
5076
remove
appTerm
5054
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
5063
remove
7
ref
1391
ref
5054
ref
appTerm
appTerm
1680
ref
5054
ref
appTerm
appTerm
refl
appThm
trans
5064
remove
5071
remove
assume
5077
def
appThm
eqMp
sym
235
ref
1396
ref
5066
remove
appThm
5067
ref
1062
ref
subst
5078
def
trans
appThm
5067
remove
1684
ref
subst
appThm
1381
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
5072
remove
cons
5079
def
5070
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
5049
ref
appTerm
5080
def
betaConv
1406
ref
nil
1407
ref
119
ref
5080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
5049
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5081
def
nil
5079
ref
164
ref
5052
remove
cons
5082
def
1064
ref
5055
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
162
ref
5017
remove
cons
164
ref
4979
remove
cons
nil
cons
5083
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5014
remove
cons
5083
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
4983
ref
23
ref
appTerm
appTerm
4962
remove
appTerm
absTerm
appTerm
nil
cons
cons
5011
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
4983
remove
nil
cons
cons
5083
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
nil
59
ref
4776
remove
appTerm
thm
237
ref
32
ref
238
ref
32
ref
43
ref
4296
remove
4772
ref
appTerm
5084
def
appTerm
31
ref
4298
remove
4772
ref
appTerm
appTerm
4767
remove
appTerm
5085
def
appTerm
absTerm
5086
def
36
ref
appTerm
5087
def
betaConv
237
ref
32
ref
nil
4770
remove
2613
remove
4772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4302
remove
subst
absThm
appThm
4771
remove
eqMp
nil
117
ref
17
ref
5086
ref
appTerm
nil
cons
cons
119
ref
5087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5086
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
162
ref
5084
remove
nil
cons
cons
164
ref
5085
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
proveHyp
appThm
4768
remove
appThm
nil
212
ref
4769
remove
cons
nil
cons
nil
cons
cons
275
ref
subst
trans
absThm
appThm
296
ref
trans
sym
155
ref
eqMp
nil
17
ref
32
ref
5085
remove
absTerm
appTerm
thm
nil
261
ref
246
ref
2365
ref
2545
ref
59
ref
454
ref
7
ref
1222
ref
4312
ref
2485
ref
constTerm
5088
def
2545
ref
varTerm
5089
def
appTerm
2473
ref
455
ref
appTerm
5090
def
appTerm
5091
def
appTerm
5092
def
appTerm
2469
ref
2470
ref
5089
ref
appTerm
5093
def
appTerm
5094
def
1223
ref
appTerm
5095
def
appTerm
5096
def
absTerm
5097
def
appTerm
5098
def
absTerm
5099
def
appTerm
5100
def
absTerm
5101
def
nil
cons
cons
5102
def
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
5100
remove
nil
cons
5103
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
5099
ref
nil
cons
cons
5104
def
nil
cons
nil
cons
cons
2386
ref
subst
2545
ref
nil
149
ref
5098
remove
nil
cons
5105
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5097
ref
nil
cons
cons
5106
def
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5096
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5092
ref
nil
cons
5107
def
cons
5108
def
119
ref
5095
ref
nil
cons
5109
def
cons
nil
cons
5110
def
cons
nil
cons
cons
5111
def
136
ref
subst
5111
ref
195
ref
subst
nil
1258
ref
164
ref
5091
ref
nil
cons
5112
def
cons
nil
cons
cons
nil
cons
cons
5113
def
178
ref
subst
5113
remove
436
ref
subst
32
ref
43
ref
5094
ref
36
ref
appTerm
appTerm
4784
ref
1223
ref
appTerm
5114
def
appTerm
absTerm
5115
def
2470
ref
5090
ref
appTerm
5116
def
appTerm
betaConv
sym
306
ref
nil
149
ref
5112
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5091
ref
assume
eqMp
appThm
2316
ref
5090
ref
appTerm
5117
def
refl
appThm
nil
149
ref
5117
ref
nil
cons
5118
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
1264
ref
119
ref
5118
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1446
ref
2539
remove
subst
eqMp
eqMp
nil
117
ref
43
ref
5091
remove
appTerm
5117
remove
appTerm
nil
cons
cons
119
ref
5094
remove
5116
ref
appTerm
nil
cons
5119
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"b"
2314
ref
var
5120
def
5090
remove
nil
cons
cons
"a"
2314
ref
var
5121
def
5089
ref
nil
cons
5122
def
cons
nil
cons
cons
nil
cons
cons
2394
ref
4699
ref
subst
5123
def
subst
eqMp
nil
117
ref
5119
remove
cons
119
ref
2469
ref
5116
ref
appTerm
1223
ref
appTerm
nil
cons
cons
nil
cons
5124
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
1264
ref
5124
remove
cons
nil
cons
cons
187
ref
subst
1446
ref
2478
ref
63
ref
appTerm
5125
def
betaConv
2611
remove
nil
117
ref
2482
remove
cons
119
ref
5125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
2478
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5126
def
subst
eqMp
eqMp
eqMp
210
ref
211
ref
5115
ref
nil
cons
cons
212
ref
5116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
ref
5115
remove
appTerm
nil
cons
cons
5110
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4781
ref
1314
ref
cons
5127
def
379
ref
5093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4781
ref
7
ref
886
ref
32
ref
4330
ref
4784
ref
4786
ref
appTerm
appTerm
5128
def
absTerm
5129
def
appTerm
5130
def
appTerm
5131
def
2583
remove
4786
ref
appTerm
5132
def
appTerm
5133
def
absTerm
5134
def
4786
ref
appTerm
5135
def
betaConv
379
ref
17
ref
5134
ref
appTerm
5136
def
absTerm
5137
def
382
ref
appTerm
5138
def
betaConv
nil
17
ref
379
ref
17
ref
32
ref
17
ref
4781
ref
7
ref
5128
ref
appTerm
5132
ref
appTerm
absTerm
5139
def
appTerm
5140
def
absTerm
5141
def
appTerm
5142
def
absTerm
5143
def
appTerm
5144
def
axiom
nil
117
ref
5144
ref
nil
cons
5145
def
cons
5146
def
119
ref
17
ref
5137
ref
appTerm
nil
cons
5147
def
cons
nil
cons
cons
nil
cons
cons
5148
def
187
ref
subst
proveHyp
5148
ref
136
ref
subst
5148
remove
195
ref
subst
nil
211
ref
5137
remove
nil
cons
cons
5149
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
5136
remove
nil
cons
5150
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
5134
remove
nil
cons
cons
5151
def
nil
cons
nil
cons
cons
371
ref
subst
4781
ref
nil
149
ref
5133
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5130
remove
nil
cons
5152
def
cons
5153
def
119
ref
5132
ref
nil
cons
5154
def
cons
nil
cons
5155
def
cons
nil
cons
cons
5156
def
136
ref
subst
5156
remove
195
ref
subst
nil
5146
ref
5155
ref
cons
nil
cons
cons
5157
def
187
ref
subst
nil
5153
remove
119
ref
7
ref
5144
remove
appTerm
5132
ref
appTerm
5158
def
nil
cons
5159
def
cons
nil
cons
5160
def
cons
nil
cons
cons
187
ref
subst
nil
211
ref
32
ref
7
ref
5129
ref
36
ref
appTerm
5161
def
appTerm
5158
ref
appTerm
5162
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5162
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5161
ref
nil
cons
5163
def
cons
5160
ref
cons
nil
cons
cons
5164
def
136
ref
subst
5164
remove
195
ref
subst
5161
ref
betaConv
5161
remove
assume
eqMp
nil
117
ref
5128
remove
nil
cons
5165
def
cons
5166
def
5160
remove
cons
nil
cons
cons
5167
def
187
ref
subst
proveHyp
5167
ref
136
ref
subst
5167
remove
195
ref
subst
5157
ref
136
ref
subst
5157
remove
195
ref
subst
nil
5166
remove
5155
remove
cons
nil
cons
cons
187
ref
subst
5139
ref
4786
ref
appTerm
5168
def
betaConv
5141
ref
36
ref
appTerm
5169
def
betaConv
5143
ref
382
ref
appTerm
5170
def
betaConv
nil
5146
remove
119
ref
5170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
5143
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5142
remove
nil
cons
cons
119
ref
5169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5141
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5140
remove
nil
cons
cons
119
ref
5168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5139
remove
nil
cons
cons
212
ref
4786
ref
nil
cons
cons
nil
cons
5171
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
5145
remove
cons
5172
def
164
ref
5154
remove
cons
nil
cons
5173
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
5165
remove
cons
164
ref
5159
remove
cons
nil
cons
5174
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5163
remove
cons
5174
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
5129
ref
911
ref
appTerm
appTerm
5158
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
5131
remove
5158
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5129
remove
nil
cons
cons
5174
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
5152
remove
cons
5173
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
5172
remove
164
ref
5147
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
5147
remove
cons
119
ref
5138
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
5149
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5150
remove
cons
119
ref
5135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
5151
remove
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5175
def
subst
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
5107
remove
cons
5176
def
164
ref
5109
remove
cons
nil
cons
5177
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5178
def
nil
257
ref
5101
ref
appTerm
5179
def
thm
nil
512
ref
60
ref
59
ref
454
ref
7
ref
4029
ref
appTerm
5180
def
2469
ref
4051
ref
appTerm
4054
ref
appTerm
5181
def
appTerm
5182
def
absTerm
5183
def
appTerm
5184
def
absTerm
5185
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5184
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5183
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5182
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4029
remove
nil
cons
5186
def
cons
5187
def
119
ref
5181
remove
nil
cons
5188
def
cons
nil
cons
cons
nil
cons
cons
5189
def
136
ref
subst
5189
remove
195
ref
subst
nil
589
ref
164
ref
1254
ref
cons
nil
cons
cons
nil
cons
cons
5190
def
178
ref
subst
5191
def
5190
remove
436
ref
subst
5192
def
nil
32
ref
4617
remove
cons
5193
def
379
ref
4196
ref
cons
nil
cons
5194
def
cons
nil
cons
cons
4392
ref
subst
sym
4383
ref
4591
ref
349
ref
4051
ref
appTerm
5195
def
4385
ref
appTerm
appTerm
absTerm
5196
def
221
ref
3889
ref
appTerm
5197
def
appTerm
betaConv
sym
nil
5187
ref
119
ref
4052
ref
4053
remove
221
ref
4366
ref
appTerm
5198
def
appTerm
5199
def
appTerm
5200
def
nil
cons
5201
def
cons
nil
cons
5202
def
cons
nil
cons
cons
5203
def
136
ref
subst
5203
remove
195
ref
subst
5191
ref
5192
ref
306
ref
4183
remove
appThm
306
ref
4408
remove
appThm
4368
remove
4003
ref
appTerm
5204
def
refl
appThm
nil
149
ref
5204
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
5205
def
trans
appThm
5205
remove
trans
sym
nil
454
ref
4027
ref
cons
60
ref
4367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3907
ref
subst
236
ref
13
ref
166
ref
nil
454
ref
4366
ref
nil
cons
5206
def
cons
nil
cons
5207
def
nil
cons
cons
4195
ref
subst
4184
ref
refl
4572
ref
13
ref
120
ref
79
ref
4456
ref
appTerm
appTerm
729
ref
1145
ref
appTerm
appTerm
absTerm
5208
def
23
ref
appTerm
5209
def
betaConv
454
ref
12
ref
5208
ref
appTerm
5210
def
absTerm
5211
def
455
ref
appTerm
5212
def
betaConv
60
ref
59
ref
5211
ref
appTerm
5213
def
absTerm
5214
def
63
ref
appTerm
5215
def
betaConv
nil
59
ref
5214
ref
appTerm
5216
def
axiom
nil
117
ref
5216
remove
nil
cons
cons
119
ref
5215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5214
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5213
remove
nil
cons
cons
119
ref
5212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5211
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5210
remove
nil
cons
cons
119
ref
5209
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
5208
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
5217
def
appThm
trans
appThm
4195
ref
appThm
absThm
appThm
trans
sym
nil
188
ref
13
ref
120
ref
4184
remove
43
ref
1144
ref
appTerm
5218
def
632
remove
appTerm
5219
def
appTerm
appTerm
4185
remove
appTerm
5220
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5220
remove
nil
cons
5221
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
806
ref
cons
5222
def
119
ref
5221
ref
cons
nil
cons
5223
def
cons
nil
cons
cons
5224
def
136
ref
subst
5224
remove
195
ref
subst
120
ref
"_11687"
3
ref
var
5225
def
120
ref
883
ref
5225
remove
varTerm
5226
def
appTerm
5227
def
5218
ref
19
ref
5226
remove
appTerm
appTerm
appTerm
appTerm
5227
remove
1144
ref
appTerm
appTerm
absTerm
5228
def
80
ref
appTerm
5229
def
appTerm
refl
5230
def
5228
ref
539
ref
appTerm
betaConv
appThm
166
ref
5229
remove
betaConv
appThm
5231
def
120
ref
1699
ref
5218
ref
564
ref
appTerm
5232
def
appTerm
appTerm
1699
ref
1144
ref
appTerm
appTerm
refl
appThm
trans
5228
remove
refl
5233
def
805
remove
assume
5234
def
appThm
eqMp
sym
166
ref
nil
149
ref
5232
ref
nil
cons
cons
nil
cons
nil
cons
cons
1703
ref
subst
5218
ref
refl
5235
def
566
ref
appThm
nil
149
ref
4159
ref
cons
nil
cons
nil
cons
cons
5236
def
2422
ref
subst
trans
5237
def
trans
appThm
5236
ref
1703
ref
subst
5238
def
appThm
nil
284
ref
4159
ref
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
806
ref
cons
5239
def
164
ref
5221
ref
cons
nil
cons
5240
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
804
ref
141
ref
appTerm
5241
def
nil
cons
5242
def
cons
5243
def
5223
remove
cons
nil
cons
cons
5244
def
136
ref
subst
5244
remove
195
ref
subst
5230
remove
"_11685"
3
ref
var
5245
def
120
ref
883
ref
5245
remove
varTerm
5246
def
appTerm
5247
def
5218
ref
19
ref
5246
remove
appTerm
appTerm
appTerm
appTerm
5247
remove
1144
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
5231
remove
120
ref
1680
ref
5218
ref
742
ref
appTerm
5248
def
appTerm
appTerm
1680
ref
1144
ref
appTerm
appTerm
refl
appThm
trans
5233
remove
5241
remove
assume
5249
def
appThm
eqMp
sym
166
ref
nil
149
ref
5248
ref
nil
cons
cons
nil
cons
nil
cons
cons
1684
ref
subst
appThm
5236
ref
1684
ref
subst
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
5242
remove
cons
5250
def
5240
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
80
ref
appTerm
5251
def
betaConv
1406
ref
nil
1407
ref
119
ref
5251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
640
ref
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5252
def
nil
5250
ref
164
ref
806
remove
cons
5253
def
1064
ref
5221
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
43
ref
4028
remove
appTerm
43
ref
4401
remove
appTerm
5204
remove
appTerm
appTerm
nil
cons
cons
119
ref
31
ref
5199
ref
appTerm
4051
ref
appTerm
nil
cons
5254
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2815
ref
4027
remove
cons
5207
remove
cons
nil
cons
cons
4620
ref
subst
eqMp
nil
117
ref
5254
remove
cons
5202
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
212
ref
5199
ref
nil
cons
cons
243
ref
4196
remove
cons
nil
cons
cons
nil
cons
cons
4619
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
5186
remove
cons
5255
def
164
ref
5201
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5256
def
nil
117
ref
5180
ref
5200
ref
appTerm
5257
def
nil
cons
5258
def
cons
119
ref
31
ref
5195
remove
5197
ref
appTerm
5259
def
appTerm
4054
ref
appTerm
5260
def
nil
cons
5261
def
cons
nil
cons
5262
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
4182
ref
appThm
5263
def
5200
ref
refl
appThm
nil
149
ref
5201
ref
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5260
ref
refl
5264
def
appThm
sym
nil
117
ref
5201
ref
cons
5262
ref
cons
nil
cons
cons
5265
def
136
ref
subst
5265
remove
195
ref
subst
120
ref
"_11689"
0
ref
var
5266
def
31
ref
349
ref
5266
remove
varTerm
appTerm
5197
ref
appTerm
appTerm
4054
ref
appTerm
absTerm
5267
def
4051
ref
appTerm
5268
def
appTerm
refl
5267
ref
5199
ref
appTerm
betaConv
appThm
166
ref
5268
remove
betaConv
appThm
31
ref
349
ref
5199
remove
appTerm
5197
ref
appTerm
appTerm
4054
ref
appTerm
refl
appThm
trans
5267
remove
refl
5200
remove
assume
appThm
eqMp
sym
238
ref
nil
4781
ref
5197
ref
nil
cons
5269
def
cons
32
ref
5198
ref
nil
cons
cons
3535
ref
cons
cons
nil
cons
cons
4781
ref
31
ref
4850
remove
4786
ref
appTerm
5270
def
appTerm
384
ref
350
ref
4786
ref
appTerm
appTerm
5271
def
appTerm
5272
def
absTerm
5273
def
4786
ref
appTerm
5274
def
betaConv
32
ref
17
ref
5273
ref
appTerm
5275
def
absTerm
5276
def
36
ref
appTerm
5277
def
betaConv
379
ref
17
ref
5276
ref
appTerm
5278
def
absTerm
5279
def
382
ref
appTerm
5280
def
betaConv
237
ref
379
ref
237
ref
32
ref
237
ref
4781
ref
5272
remove
assume
sym
31
ref
5271
remove
appTerm
5270
remove
appTerm
5281
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
17
ref
379
ref
17
ref
32
ref
17
ref
4781
ref
5281
remove
absTerm
5282
def
appTerm
5283
def
absTerm
5284
def
appTerm
5285
def
absTerm
5286
def
appTerm
5287
def
axiom
5288
def
eqMp
nil
117
ref
17
ref
5279
ref
appTerm
nil
cons
cons
119
ref
5280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5279
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5278
remove
nil
cons
cons
119
ref
5277
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5276
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5275
remove
nil
cons
cons
119
ref
5274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5273
remove
nil
cons
cons
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
4054
ref
refl
5289
def
appThm
nil
5127
remove
32
ref
349
ref
5198
remove
appTerm
5197
ref
appTerm
5290
def
nil
cons
cons
3535
ref
cons
cons
nil
cons
cons
4781
ref
120
ref
4789
ref
384
remove
4786
ref
appTerm
appTerm
appTerm
4384
ref
4786
ref
appTerm
appTerm
absTerm
5291
def
4786
ref
appTerm
5292
def
betaConv
32
ref
17
ref
5291
ref
appTerm
5293
def
absTerm
5294
def
36
ref
appTerm
5295
def
betaConv
379
ref
17
ref
5294
ref
appTerm
5296
def
absTerm
5297
def
382
ref
appTerm
5298
def
betaConv
nil
17
ref
5297
ref
appTerm
5299
def
axiom
nil
117
ref
5299
remove
nil
cons
cons
119
ref
5298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5297
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5296
remove
nil
cons
cons
119
ref
5295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5294
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5293
remove
nil
cons
cons
119
ref
5292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5291
remove
nil
cons
cons
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
trans
sym
4204
ref
43
ref
3882
ref
4366
ref
appTerm
3889
ref
appTerm
5300
def
appTerm
465
ref
4001
remove
4366
ref
appTerm
3889
ref
appTerm
5301
def
appTerm
455
ref
appTerm
5302
def
appTerm
5303
def
refl
appThm
nil
149
ref
5303
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
454
ref
3889
ref
nil
cons
5304
def
cons
60
ref
5206
remove
cons
nil
cons
cons
5305
def
nil
cons
cons
5306
def
3898
ref
subst
nil
454
ref
955
ref
cons
60
ref
3888
remove
4366
remove
appTerm
3889
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3907
ref
subst
trans
236
ref
13
ref
166
ref
5306
ref
3918
ref
subst
306
ref
5217
ref
appThm
3918
ref
appThm
trans
appThm
2263
ref
appThm
nil
149
ref
43
ref
5219
ref
appTerm
3908
ref
appTerm
5307
def
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
trans
absThm
appThm
trans
sym
nil
188
ref
13
ref
19
ref
5307
remove
appTerm
5308
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5308
remove
nil
cons
5309
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
5222
ref
119
ref
5309
ref
cons
nil
cons
5310
def
cons
nil
cons
cons
5311
def
136
ref
subst
5311
remove
195
ref
subst
120
ref
"_11693"
3
ref
var
5312
def
19
ref
43
ref
5218
ref
19
ref
5312
remove
varTerm
5313
def
appTerm
appTerm
appTerm
43
ref
5313
remove
appTerm
1144
ref
appTerm
appTerm
appTerm
absTerm
5314
def
80
ref
appTerm
5315
def
appTerm
refl
5316
def
5314
ref
539
ref
appTerm
betaConv
appThm
166
ref
5315
remove
betaConv
appThm
5317
def
19
ref
43
ref
5232
ref
appTerm
1103
ref
1144
ref
appTerm
5318
def
appTerm
appTerm
refl
appThm
trans
5314
remove
refl
5319
def
5234
ref
appThm
eqMp
sym
537
ref
306
ref
5237
ref
appThm
5236
ref
1107
ref
subst
5320
def
appThm
5236
ref
149
ref
120
ref
2418
ref
539
ref
appTerm
appTerm
539
ref
appTerm
absTerm
5321
def
152
ref
appTerm
5322
def
betaConv
nil
280
ref
5321
ref
appTerm
5323
def
axiom
nil
117
ref
5323
remove
nil
cons
cons
119
ref
5322
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5321
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5324
def
subst
5325
def
trans
appThm
566
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
5239
ref
164
ref
5309
ref
cons
nil
cons
5326
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
5243
ref
5310
remove
cons
nil
cons
cons
5327
def
136
ref
subst
5327
remove
195
ref
subst
5316
remove
"_11691"
3
ref
var
5328
def
19
ref
43
ref
5218
ref
19
ref
5328
remove
varTerm
5329
def
appTerm
appTerm
appTerm
43
ref
5329
remove
appTerm
1144
ref
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
5317
remove
19
ref
43
ref
5248
ref
appTerm
424
ref
1144
ref
appTerm
5330
def
appTerm
appTerm
refl
appThm
trans
5319
remove
5249
ref
appThm
eqMp
sym
537
ref
306
ref
5235
remove
744
ref
appThm
5325
remove
trans
5331
def
appThm
5236
ref
428
ref
subst
5332
def
appThm
5320
ref
trans
appThm
566
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
5250
ref
5326
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5252
ref
nil
5250
ref
5253
ref
1064
ref
5309
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
nil
117
ref
5300
remove
nil
cons
cons
119
ref
5302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
60
ref
5301
remove
nil
cons
cons
nil
cons
nil
cons
cons
3907
ref
subst
236
ref
13
ref
166
ref
5306
remove
4195
remove
subst
1675
ref
5217
remove
appThm
3918
remove
appThm
trans
appThm
1144
ref
refl
appThm
absThm
appThm
trans
sym
nil
188
ref
13
ref
120
ref
883
ref
5219
remove
appTerm
3908
remove
appTerm
appTerm
1144
ref
appTerm
5333
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5333
remove
nil
cons
5334
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
5222
remove
119
ref
5334
ref
cons
nil
cons
5335
def
cons
nil
cons
cons
5336
def
136
ref
subst
5336
remove
195
ref
subst
120
ref
"_11697"
3
ref
var
5337
def
120
ref
883
ref
5218
ref
19
ref
5337
remove
varTerm
5338
def
appTerm
appTerm
appTerm
43
ref
5338
remove
appTerm
1144
ref
appTerm
appTerm
appTerm
1144
ref
appTerm
absTerm
5339
def
80
ref
appTerm
5340
def
appTerm
refl
5341
def
5339
ref
539
ref
appTerm
betaConv
appThm
166
ref
5340
remove
betaConv
appThm
5342
def
120
ref
883
ref
5232
remove
appTerm
5318
remove
appTerm
appTerm
1144
ref
appTerm
refl
appThm
trans
5339
remove
refl
5343
def
5234
remove
appThm
eqMp
sym
1675
ref
5237
remove
appThm
5320
remove
appThm
5236
remove
1767
ref
subst
trans
eqMp
eqMp
nil
5239
remove
164
ref
5334
ref
cons
nil
cons
5344
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
5243
remove
5335
remove
cons
nil
cons
cons
5345
def
136
ref
subst
5345
remove
195
ref
subst
5341
remove
"_11695"
3
ref
var
5346
def
120
ref
883
ref
5218
ref
19
ref
5346
remove
varTerm
5347
def
appTerm
appTerm
appTerm
43
ref
5347
remove
appTerm
1144
ref
appTerm
appTerm
appTerm
1144
ref
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
5342
remove
120
ref
883
ref
5248
remove
appTerm
5330
remove
appTerm
appTerm
1144
ref
appTerm
refl
appThm
trans
5343
remove
5249
remove
appThm
eqMp
sym
1675
ref
5331
remove
appThm
5332
remove
appThm
5238
remove
trans
eqMp
eqMp
nil
5250
ref
5344
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5252
remove
nil
5250
remove
5253
remove
1064
ref
5334
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
117
ref
1222
ref
5303
remove
appTerm
nil
cons
cons
119
ref
31
ref
5290
remove
appTerm
1223
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2815
ref
1244
ref
cons
5305
remove
cons
nil
cons
cons
4620
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
5201
remove
cons
164
ref
5261
ref
cons
nil
cons
5348
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
5349
def
nil
117
ref
5261
ref
cons
5350
def
119
ref
4591
remove
5259
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
212
ref
5259
ref
nil
cons
5351
def
cons
4618
remove
cons
nil
cons
cons
4619
remove
subst
eqMp
5352
def
eqMp
210
ref
211
ref
5196
remove
nil
cons
cons
212
ref
5269
ref
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
5255
ref
164
ref
5188
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5353
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5185
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
4423
remove
120
ref
499
ref
1223
ref
appTerm
5354
def
appTerm
3899
ref
appTerm
5355
def
appTerm
5356
def
absTerm
5357
def
appTerm
5358
def
absTerm
5359
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5358
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5357
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5356
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
4445
remove
119
ref
5355
remove
nil
cons
5360
def
cons
nil
cons
cons
nil
cons
cons
5361
def
136
ref
subst
5361
remove
195
ref
subst
nil
1258
ref
164
ref
4315
ref
nil
cons
5362
def
cons
nil
cons
cons
nil
cons
cons
5363
def
178
ref
subst
5363
remove
436
ref
subst
nil
117
ref
5354
ref
nil
cons
5364
def
cons
119
ref
3906
ref
cons
nil
cons
5365
def
cons
nil
cons
cons
5366
def
495
ref
subst
5366
ref
136
ref
subst
5366
remove
195
ref
subst
4204
remove
306
ref
nil
149
ref
5362
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
4315
ref
assume
eqMp
appThm
238
ref
5354
ref
assume
appThm
4106
ref
appThm
4108
remove
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
1222
ref
4316
ref
5354
ref
appTerm
appTerm
nil
cons
cons
5365
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4304
ref
1244
ref
cons
4303
ref
514
ref
cons
nil
cons
cons
nil
cons
cons
nil
117
ref
4497
ref
4340
ref
4348
remove
appTerm
5367
def
appTerm
5368
def
nil
cons
5369
def
cons
4678
ref
cons
nil
cons
cons
5370
def
136
ref
subst
5370
ref
195
ref
subst
nil
162
ref
4357
remove
cons
5371
def
164
ref
5367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5372
def
178
ref
subst
5372
remove
436
ref
subst
nil
4361
ref
164
ref
4470
remove
cons
nil
cons
cons
nil
cons
cons
5373
def
178
ref
subst
5373
remove
436
ref
subst
4685
remove
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
5369
remove
cons
164
ref
4473
remove
cons
nil
cons
5374
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5375
def
subst
eqMp
eqMp
nil
162
ref
5364
ref
cons
164
ref
3906
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
5354
ref
appTerm
3899
ref
appTerm
nil
cons
cons
119
ref
7
ref
3899
ref
appTerm
5354
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
3906
ref
cons
119
ref
5364
ref
cons
nil
cons
cons
nil
cons
cons
5376
def
136
ref
subst
5376
remove
195
ref
subst
702
ref
3899
remove
assume
appThm
eqMp
nil
162
ref
3906
remove
cons
164
ref
5364
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
4450
remove
164
ref
5360
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5359
remove
appTerm
thm
nil
512
ref
4303
ref
59
ref
4304
ref
7
ref
5368
remove
appTerm
4341
ref
appTerm
5377
def
absTerm
5378
def
appTerm
5379
def
absTerm
5380
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4303
ref
nil
149
ref
5379
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5378
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4304
ref
nil
149
ref
5377
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
5375
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5380
remove
appTerm
thm
nil
512
ref
4303
ref
59
ref
4304
ref
7
ref
4497
remove
4340
remove
2469
ref
4325
remove
appTerm
4327
remove
appTerm
5381
def
appTerm
5382
def
appTerm
5383
def
appTerm
4341
remove
appTerm
5384
def
absTerm
5385
def
appTerm
5386
def
absTerm
5387
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4303
ref
nil
149
ref
5386
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5385
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
4304
ref
nil
149
ref
5384
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5383
remove
nil
cons
5388
def
cons
4678
remove
cons
nil
cons
cons
5389
def
136
ref
subst
5389
remove
195
ref
subst
nil
5371
remove
164
ref
5382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5390
def
178
ref
subst
5390
remove
436
ref
subst
nil
4361
remove
164
ref
5381
ref
nil
cons
5391
def
cons
nil
cons
cons
nil
cons
cons
5392
def
178
ref
subst
5392
remove
436
ref
subst
4412
remove
4474
remove
4329
remove
4815
ref
subst
4347
remove
refl
nil
149
ref
5391
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5381
remove
assume
eqMp
appThm
nil
149
ref
4469
remove
cons
nil
cons
nil
cons
cons
5393
def
2422
ref
subst
trans
trans
appThm
5393
remove
428
ref
subst
5394
def
trans
appThm
5394
remove
trans
sym
4468
remove
eqMp
5370
remove
187
ref
subst
proveHyp
5375
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
5388
remove
cons
5374
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5387
remove
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
2352
ref
31
ref
220
ref
2
ref
2936
remove
33
ref
cons
opType
constTerm
5395
def
2946
remove
appTerm
appTerm
3859
remove
2695
ref
appTerm
5396
def
appTerm
5397
def
appTerm
5398
def
absTerm
5399
def
appTerm
5400
def
absTerm
5401
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5400
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
5399
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
5398
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2388
ref
119
ref
5397
remove
nil
cons
5402
def
cons
nil
cons
cons
nil
cons
cons
5403
def
136
ref
subst
5403
remove
195
ref
subst
2724
ref
2725
ref
238
ref
5395
ref
refl
5404
def
3328
remove
appThm
appThm
5396
ref
refl
5405
def
appThm
sym
32
ref
7
ref
2726
ref
3342
remove
appTerm
appTerm
3344
ref
3860
ref
appTerm
appTerm
absTerm
5406
def
2695
ref
appTerm
5407
def
betaConv
3349
remove
227
ref
appTerm
5408
def
betaConv
4237
remove
nil
4238
remove
119
ref
5408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4239
remove
896
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
17
ref
5406
ref
appTerm
nil
cons
cons
119
ref
5407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5406
remove
nil
cons
cons
4260
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
2726
ref
12
ref
13
ref
630
ref
3341
remove
2695
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
3344
remove
5396
ref
appTerm
appTerm
nil
cons
cons
119
ref
31
ref
5395
remove
3321
ref
appTerm
appTerm
5396
ref
appTerm
5409
def
nil
cons
5410
def
cons
nil
cons
5411
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
4263
remove
236
ref
13
ref
631
ref
nil
4264
ref
2545
ref
3340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3668
ref
subst
306
ref
2316
ref
refl
5412
def
4241
ref
appThm
4266
ref
trans
appThm
238
ref
2484
ref
4241
remove
appThm
appThm
2695
ref
refl
5413
def
appThm
4268
ref
trans
appThm
429
ref
trans
trans
appThm
4242
ref
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
appThm
nil
32
ref
5396
remove
nil
cons
cons
3453
remove
3343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3456
remove
516
ref
subst
subst
306
ref
61
ref
2937
remove
constTerm
5414
def
refl
4244
ref
appThm
appThm
238
ref
5404
remove
4244
remove
appThm
appThm
5405
remove
appThm
appThm
trans
appThm
nil
149
ref
43
ref
5414
remove
3321
remove
appTerm
5415
def
appTerm
5409
ref
appTerm
nil
cons
5416
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5409
ref
refl
appThm
sym
nil
117
ref
5416
ref
cons
5411
ref
cons
nil
cons
cons
5417
def
136
ref
subst
5417
remove
195
ref
subst
nil
162
ref
5415
remove
nil
cons
cons
164
ref
5410
remove
cons
nil
cons
5418
def
cons
nil
cons
cons
436
ref
subst
eqMp
nil
162
ref
5416
remove
cons
5418
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
5419
def
eqMp
proveHyp
proveHyp
eqMp
nil
2405
ref
164
ref
5402
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5401
remove
appTerm
thm
nil
211
ref
32
ref
59
ref
60
ref
120
ref
65
ref
4784
ref
227
ref
appTerm
5420
def
appTerm
5421
def
appTerm
453
ref
454
ref
43
ref
4500
ref
appTerm
5422
def
457
ref
appTerm
5423
def
absTerm
5424
def
appTerm
5425
def
appTerm
5426
def
absTerm
5427
def
appTerm
5428
def
absTerm
5429
def
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5428
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5427
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5426
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5421
ref
nil
cons
5430
def
cons
119
ref
5425
ref
nil
cons
5431
def
cons
nil
cons
5432
def
cons
nil
cons
cons
495
ref
subst
32
ref
7
ref
5421
ref
appTerm
5425
ref
appTerm
5433
def
absTerm
5434
def
36
ref
appTerm
5435
def
betaConv
5436
def
60
ref
17
ref
5434
ref
appTerm
5437
def
absTerm
5438
def
63
ref
appTerm
5439
def
betaConv
166
ref
298
ref
60
ref
237
ref
32
ref
60
ref
5434
ref
absTerm
5440
def
63
ref
appTerm
betaConv
1101
ref
appThm
5436
remove
trans
5441
def
absThm
appThm
absThm
appThm
appThm
237
ref
32
ref
298
ref
60
ref
5441
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
445
remove
var
5442
def
5440
remove
nil
cons
cons
nil
cons
nil
cons
cons
95
remove
511
ref
cons
96
ref
cons
3957
ref
120
ref
12
ref
13
ref
104
ref
2941
ref
3959
ref
absTerm
5443
def
appTerm
absTerm
appTerm
appTerm
104
ref
2941
ref
12
ref
13
ref
3959
remove
absTerm
5444
def
appTerm
absTerm
appTerm
appTerm
absTerm
5445
def
3958
ref
appTerm
5446
def
betaConv
nil
3969
ref
5445
ref
appTerm
5447
def
axiom
nil
117
ref
5447
remove
nil
cons
cons
119
ref
5446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3971
ref
3972
ref
5445
remove
nil
cons
cons
3973
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
5448
def
subst
eqMp
sym
nil
512
ref
60
ref
7
ref
65
ref
2495
remove
227
ref
appTerm
appTerm
5449
def
appTerm
453
ref
454
ref
5422
ref
4954
remove
appTerm
5450
def
absTerm
appTerm
5451
def
appTerm
5452
def
absTerm
5453
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5452
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5449
remove
nil
cons
5454
def
cons
119
ref
5451
remove
nil
cons
5455
def
cons
nil
cons
cons
nil
cons
cons
5456
def
136
ref
subst
5456
remove
195
ref
subst
1216
ref
454
ref
5422
ref
refl
5457
def
1446
ref
1569
ref
subst
appThm
5458
def
absThm
appThm
sym
454
ref
5422
ref
465
ref
455
ref
appTerm
56
ref
appTerm
5459
def
appTerm
5460
def
absTerm
5461
def
56
ref
appTerm
betaConv
sym
306
ref
nil
149
ref
4313
ref
56
ref
appTerm
63
ref
appTerm
5462
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
60
ref
5462
remove
absTerm
5463
def
63
ref
appTerm
5464
def
betaConv
nil
59
ref
5463
ref
appTerm
5465
def
axiom
nil
117
ref
5465
remove
nil
cons
cons
119
ref
5464
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5463
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
5466
def
appThm
958
remove
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
511
ref
512
ref
5461
remove
nil
cons
cons
956
remove
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
162
ref
5454
remove
cons
164
ref
5455
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
5453
remove
appTerm
5467
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
59
ref
60
ref
5433
ref
absTerm
5468
def
appTerm
5469
def
appTerm
59
ref
60
ref
7
ref
65
ref
4913
ref
227
ref
appTerm
appTerm
5470
def
appTerm
453
ref
454
ref
5422
ref
456
ref
37
ref
appTerm
5471
def
appTerm
absTerm
appTerm
5472
def
appTerm
5473
def
absTerm
5474
def
appTerm
5475
def
appTerm
5476
def
absTerm
5477
def
appTerm
5478
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
5477
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5476
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5469
ref
nil
cons
5479
def
cons
5480
def
119
ref
5475
remove
nil
cons
5481
def
cons
nil
cons
cons
nil
cons
cons
5482
def
136
ref
subst
5482
remove
195
ref
subst
nil
512
ref
5474
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5473
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5470
ref
nil
cons
5483
def
cons
119
ref
5472
ref
nil
cons
5484
def
cons
nil
cons
5485
def
cons
nil
cons
cons
5486
def
136
ref
subst
5486
remove
195
ref
subst
60
ref
4959
remove
451
ref
13
ref
453
ref
454
ref
43
ref
1148
ref
appTerm
1145
remove
appTerm
5487
def
absTerm
5488
def
appTerm
5489
def
absTerm
5490
def
appTerm
5491
def
appTerm
5492
def
absTerm
5493
def
63
ref
appTerm
5494
def
betaConv
nil
59
ref
5493
ref
appTerm
5495
def
axiom
nil
117
ref
5495
remove
nil
cons
cons
119
ref
5494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5493
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5492
remove
nil
cons
5496
def
cons
5485
ref
cons
nil
cons
cons
5497
def
187
ref
subst
proveHyp
5497
ref
136
ref
subst
5497
remove
195
ref
subst
nil
188
ref
13
ref
7
ref
5490
ref
23
ref
appTerm
5498
def
appTerm
5472
ref
appTerm
5499
def
absTerm
5500
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5499
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5498
ref
nil
cons
5501
def
cons
5485
ref
cons
nil
cons
cons
5502
def
136
ref
subst
5502
remove
195
ref
subst
5498
ref
betaConv
5498
remove
assume
eqMp
nil
117
ref
5489
ref
nil
cons
cons
5485
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
454
ref
7
ref
5488
ref
455
ref
appTerm
5503
def
appTerm
5472
ref
appTerm
5504
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5504
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5503
ref
nil
cons
5505
def
cons
5485
ref
cons
nil
cons
cons
5506
def
136
ref
subst
5506
remove
195
ref
subst
5503
ref
betaConv
5503
remove
assume
eqMp
nil
117
ref
5487
remove
nil
cons
5507
def
cons
5485
ref
cons
nil
cons
cons
5508
def
187
ref
subst
proveHyp
5508
ref
136
ref
subst
5508
remove
195
ref
subst
nil
162
ref
1148
ref
nil
cons
cons
164
ref
4144
remove
cons
nil
cons
cons
nil
cons
cons
5509
def
178
ref
subst
5509
remove
436
ref
subst
120
ref
"_11799"
49
ref
var
5510
def
453
ref
454
ref
43
ref
4499
ref
5510
remove
varTerm
appTerm
appTerm
5471
ref
appTerm
absTerm
appTerm
absTerm
5511
def
63
ref
appTerm
5512
def
appTerm
refl
5513
def
5511
ref
1147
ref
appTerm
betaConv
appThm
166
ref
5512
remove
betaConv
appThm
5514
def
453
ref
"t'"
49
ref
var
5515
def
43
ref
4313
ref
5515
ref
varTerm
5516
def
appTerm
5517
def
1147
ref
appTerm
5518
def
appTerm
446
ref
5516
ref
appTerm
5519
def
37
ref
appTerm
5520
def
appTerm
absTerm
5521
def
appTerm
5522
def
refl
appThm
trans
5511
remove
refl
5523
def
1148
remove
assume
5524
def
appThm
eqMp
sym
5468
ref
455
ref
appTerm
5525
def
betaConv
nil
5480
remove
119
ref
5525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
5468
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
7
ref
1221
ref
appTerm
5526
def
5114
ref
appTerm
5527
def
appTerm
453
ref
5515
ref
43
ref
5517
ref
455
ref
appTerm
5528
def
appTerm
5529
def
5519
remove
36
ref
appTerm
5530
def
appTerm
5531
def
absTerm
5532
def
appTerm
5533
def
appTerm
5534
def
nil
cons
cons
119
ref
5522
ref
nil
cons
5535
def
cons
nil
cons
5536
def
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1264
ref
119
ref
5114
ref
nil
cons
5537
def
cons
5538
def
nil
cons
5539
def
cons
nil
cons
cons
5540
def
136
ref
subst
5540
remove
195
ref
subst
120
ref
"_11803"
49
ref
var
5541
def
7
ref
62
ref
5541
remove
varTerm
5542
def
appTerm
appTerm
4913
ref
221
ref
5542
remove
appTerm
appTerm
appTerm
absTerm
5543
def
63
ref
appTerm
5544
def
appTerm
refl
5545
def
5543
ref
1147
ref
appTerm
betaConv
appThm
166
ref
5544
remove
betaConv
appThm
5546
def
7
ref
62
ref
1147
ref
appTerm
appTerm
4913
ref
221
ref
1147
ref
appTerm
5547
def
appTerm
5548
def
appTerm
5549
def
refl
appThm
trans
5543
remove
refl
5550
def
5524
remove
appThm
eqMp
5470
remove
assume
5551
def
eqMp
nil
117
ref
5549
remove
nil
cons
cons
5539
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
1446
ref
1253
remove
subst
4181
ref
trans
appThm
5548
ref
refl
appThm
nil
149
ref
5548
ref
nil
cons
5552
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5114
ref
refl
5553
def
appThm
sym
nil
117
ref
4913
ref
1265
ref
appTerm
5554
def
nil
cons
5555
def
cons
119
ref
120
ref
5114
ref
appTerm
5556
def
5114
ref
appTerm
5557
def
nil
cons
5558
def
cons
nil
cons
cons
nil
cons
cons
5559
def
136
ref
subst
5559
remove
195
ref
subst
5553
ref
eqMp
nil
162
ref
5555
ref
cons
164
ref
5558
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
5554
ref
appTerm
5560
def
5557
remove
appTerm
nil
cons
cons
119
ref
120
ref
7
ref
5548
ref
appTerm
5114
ref
appTerm
appTerm
5561
def
5560
ref
5114
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
5537
ref
cons
nil
cons
nil
cons
cons
4921
ref
nil
1264
ref
119
ref
31
ref
5547
remove
appTerm
75
ref
1144
ref
appTerm
1223
ref
appTerm
1265
ref
appTerm
5562
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1446
ref
1004
ref
subst
eqMp
nil
1268
ref
119
ref
1269
remove
1265
ref
appTerm
5563
def
nil
cons
5564
def
cons
nil
cons
cons
nil
cons
cons
5565
def
136
ref
subst
5565
remove
195
ref
subst
1265
ref
refl
eqMp
nil
1275
ref
164
ref
5564
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1276
ref
5563
remove
appTerm
nil
cons
cons
119
ref
31
ref
5562
remove
appTerm
5566
def
1278
ref
1223
ref
appTerm
5567
def
1265
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1280
ref
1311
ref
cons
nil
cons
nil
cons
cons
nil
554
ref
119
ref
1224
remove
1223
ref
appTerm
5568
def
nil
cons
5569
def
cons
nil
cons
cons
nil
cons
cons
5570
def
136
ref
subst
5570
remove
195
ref
subst
4106
remove
eqMp
nil
561
ref
164
ref
5569
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
553
ref
5568
remove
appTerm
nil
cons
cons
119
ref
1284
ref
5566
ref
5567
remove
1282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1285
ref
1314
ref
cons
nil
cons
nil
cons
cons
4160
ref
nil
117
ref
4158
remove
cons
119
ref
1292
remove
1284
remove
5566
ref
1293
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1295
ref
1280
ref
7
ref
4157
remove
1296
ref
appTerm
appTerm
1298
remove
1300
remove
5566
remove
1301
ref
appTerm
appTerm
appTerm
appTerm
absTerm
5571
def
1282
ref
appTerm
5572
def
betaConv
1285
ref
17
ref
5571
ref
appTerm
5573
def
absTerm
5574
def
1290
ref
appTerm
5575
def
betaConv
1294
ref
17
ref
5574
ref
appTerm
5576
def
absTerm
5577
def
1296
ref
appTerm
5578
def
betaConv
nil
1312
remove
1315
remove
1316
ref
4159
remove
cons
nil
cons
cons
cons
nil
cons
cons
1438
ref
subst
nil
117
ref
280
ref
5577
ref
appTerm
nil
cons
cons
119
ref
5578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5577
remove
nil
cons
cons
1409
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5576
remove
nil
cons
cons
119
ref
5575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5574
remove
nil
cons
cons
1439
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5573
remove
nil
cons
cons
119
ref
5572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5571
remove
nil
cons
cons
1440
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
nil
748
ref
1311
remove
cons
749
ref
1314
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
trans
trans
appThm
nil
117
ref
120
ref
5548
remove
appTerm
5579
def
5554
remove
appTerm
nil
cons
cons
119
ref
7
ref
5560
ref
5556
remove
1450
ref
appTerm
5580
def
appTerm
appTerm
5561
ref
5560
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
5555
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
5579
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
5580
remove
appTerm
appTerm
5561
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
5581
def
1450
ref
appTerm
5582
def
betaConv
1452
ref
280
ref
5581
ref
appTerm
5583
def
absTerm
5584
def
1453
ref
appTerm
5585
def
betaConv
nil
5538
remove
117
ref
5552
remove
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
5584
ref
appTerm
nil
cons
cons
119
ref
5585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5584
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5583
remove
nil
cons
cons
119
ref
5582
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5581
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
235
ref
nil
4107
remove
381
ref
cons
nil
cons
cons
5586
def
2591
ref
subst
appThm
5553
remove
appThm
nil
149
ref
5537
ref
cons
nil
cons
nil
cons
cons
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1258
ref
164
ref
5537
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
5527
ref
nil
cons
5587
def
cons
119
ref
7
ref
5533
ref
appTerm
5522
ref
appTerm
5588
def
nil
cons
cons
nil
cons
5589
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
512
ref
5515
ref
7
ref
5532
ref
5516
ref
appTerm
5590
def
appTerm
5522
ref
appTerm
5591
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
5515
ref
nil
149
ref
5591
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5590
ref
nil
cons
5592
def
cons
5536
ref
cons
nil
cons
cons
5593
def
136
ref
subst
5593
remove
195
ref
subst
5590
ref
betaConv
5590
remove
assume
eqMp
nil
117
ref
5531
remove
nil
cons
5594
def
cons
5536
remove
cons
nil
cons
cons
5595
def
187
ref
subst
proveHyp
5595
ref
136
ref
subst
5595
remove
195
ref
subst
nil
162
ref
5528
remove
nil
cons
5596
def
cons
164
ref
5530
ref
nil
cons
5597
def
cons
nil
cons
cons
nil
cons
cons
5598
def
178
ref
subst
5598
remove
436
ref
subst
5521
ref
71
remove
5516
ref
appTerm
5599
def
appTerm
betaConv
sym
nil
454
ref
1147
ref
nil
cons
cons
60
ref
5516
ref
nil
cons
5600
def
cons
nil
cons
5601
def
cons
nil
cons
cons
454
ref
120
ref
4313
ref
72
ref
appTerm
455
ref
appTerm
appTerm
5218
remove
4315
ref
appTerm
appTerm
absTerm
5602
def
455
ref
appTerm
5603
def
betaConv
60
ref
59
ref
5602
ref
appTerm
5604
def
absTerm
5605
def
63
ref
appTerm
5606
def
betaConv
13
ref
59
ref
5605
ref
appTerm
5607
def
absTerm
5608
def
23
ref
appTerm
5609
def
betaConv
nil
12
ref
5608
ref
appTerm
5610
def
axiom
nil
117
ref
5610
remove
nil
cons
cons
119
ref
5609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
5608
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5607
remove
nil
cons
cons
119
ref
5606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5605
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5604
remove
nil
cons
cons
119
ref
5603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5602
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
306
ref
nil
1245
remove
724
remove
cons
nil
cons
cons
2282
ref
subst
3626
remove
4160
ref
appThm
3792
ref
trans
trans
appThm
5518
ref
refl
appThm
nil
149
ref
5518
remove
nil
cons
5611
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
trans
sym
nil
117
ref
5596
ref
cons
5612
def
119
ref
5611
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
5601
remove
nil
cons
cons
5613
def
454
ref
7
ref
4315
ref
appTerm
4314
ref
1147
ref
appTerm
appTerm
5614
def
absTerm
5615
def
455
ref
appTerm
5616
def
betaConv
13
ref
59
ref
5615
ref
appTerm
5617
def
absTerm
5618
def
23
ref
appTerm
5619
def
betaConv
60
ref
12
ref
5618
ref
appTerm
5620
def
absTerm
5621
def
63
ref
appTerm
5622
def
betaConv
nil
59
ref
60
ref
59
ref
454
ref
12
ref
13
ref
5614
ref
absTerm
5623
def
appTerm
5624
def
absTerm
5625
def
appTerm
5626
def
absTerm
5627
def
appTerm
5628
def
axiom
nil
117
ref
5628
remove
nil
cons
5629
def
cons
5630
def
119
ref
59
ref
5621
ref
appTerm
nil
cons
5631
def
cons
nil
cons
cons
nil
cons
cons
5632
def
187
ref
subst
proveHyp
5632
ref
136
ref
subst
5632
remove
195
ref
subst
nil
512
ref
5621
remove
nil
cons
cons
5633
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5620
remove
nil
cons
5634
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
5618
remove
nil
cons
cons
5635
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5617
remove
nil
cons
5636
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5615
remove
nil
cons
cons
5637
def
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5614
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
5623
ref
23
ref
appTerm
5638
def
betaConv
5625
ref
455
ref
appTerm
5639
def
betaConv
5627
ref
63
ref
appTerm
5640
def
betaConv
nil
5630
remove
119
ref
5640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
5627
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5626
remove
nil
cons
cons
119
ref
5639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5625
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5624
remove
nil
cons
cons
119
ref
5638
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
5623
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
5629
remove
cons
164
ref
5631
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
5631
remove
cons
119
ref
5622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
5633
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5634
remove
cons
119
ref
5619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
5635
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5636
remove
cons
119
ref
5616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
5637
remove
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
117
ref
4313
ref
5599
ref
appTerm
1147
ref
appTerm
nil
cons
cons
119
ref
446
ref
5599
ref
appTerm
37
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
60
ref
5599
ref
nil
cons
5641
def
cons
nil
cons
nil
cons
cons
1533
ref
subst
sym
452
ref
453
ref
454
ref
458
ref
463
remove
465
ref
5599
remove
appTerm
5642
def
468
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
5643
def
23
ref
appTerm
betaConv
sym
454
ref
458
ref
1146
remove
5642
remove
1147
remove
appTerm
appTerm
appTerm
absTerm
5644
def
5516
ref
appTerm
betaConv
sym
306
ref
nil
149
ref
5597
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5530
remove
assume
eqMp
appThm
43
ref
19
ref
79
ref
5516
ref
appTerm
5645
def
appTerm
5646
def
appTerm
refl
nil
513
ref
5641
remove
cons
nil
cons
5647
def
nil
cons
cons
957
ref
subst
appThm
nil
149
ref
5646
remove
nil
cons
cons
nil
cons
nil
cons
cons
5648
def
2422
ref
subst
trans
appThm
5648
remove
428
ref
subst
trans
sym
nil
162
ref
5645
ref
nil
cons
5649
def
cons
5650
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
5649
ref
cons
549
ref
cons
nil
cons
cons
5651
def
136
ref
subst
5651
remove
195
ref
subst
nil
5612
remove
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
5596
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
537
ref
5613
remove
4970
ref
subst
appThm
166
ref
537
ref
236
ref
13
ref
13
ref
7
ref
5645
ref
appTerm
1144
ref
appTerm
5652
def
absTerm
5653
def
23
ref
appTerm
betaConv
5654
def
absThm
appThm
appThm
appThm
1198
ref
13
ref
537
ref
5654
remove
appThm
absThm
appThm
appThm
nil
197
ref
5653
remove
nil
cons
cons
nil
cons
nil
cons
cons
1735
ref
subst
eqMp
trans
trans
sym
13
ref
19
ref
5652
remove
appTerm
absTerm
5655
def
23
ref
appTerm
betaConv
sym
537
ref
235
ref
nil
149
ref
5649
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5645
remove
assume
eqMp
appThm
4160
remove
appThm
1026
ref
trans
appThm
566
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
5655
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
5650
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
511
ref
512
ref
5644
remove
nil
cons
cons
513
ref
5600
ref
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
264
ref
188
ref
5643
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
eqMp
511
ref
512
ref
5521
remove
nil
cons
cons
5647
remove
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
5594
remove
cons
164
ref
5535
ref
cons
nil
cons
5656
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5592
remove
cons
5656
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
5532
ref
2247
ref
appTerm
appTerm
5522
ref
appTerm
absTerm
appTerm
nil
cons
cons
5589
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5532
remove
nil
cons
cons
5656
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
nil
117
ref
43
ref
5527
remove
appTerm
5588
remove
appTerm
nil
cons
cons
119
ref
7
ref
5534
remove
appTerm
5522
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"z"
3
ref
var
5657
def
5535
remove
cons
3178
ref
5533
remove
nil
cons
cons
284
ref
5587
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
5053
remove
119
ref
7
ref
43
ref
5049
ref
appTerm
7
ref
5054
ref
appTerm
5657
ref
varTerm
5658
def
appTerm
5659
def
appTerm
appTerm
7
ref
7
ref
5049
ref
appTerm
5054
ref
appTerm
appTerm
5658
ref
appTerm
appTerm
nil
cons
5660
def
cons
nil
cons
5661
def
cons
nil
cons
cons
5662
def
136
ref
subst
5662
remove
195
ref
subst
120
ref
"_11753"
3
ref
var
5663
def
7
ref
43
ref
5663
remove
varTerm
5664
def
appTerm
5659
ref
appTerm
appTerm
7
ref
7
ref
5664
remove
appTerm
5054
ref
appTerm
appTerm
5658
ref
appTerm
appTerm
absTerm
5665
def
5049
remove
appTerm
5666
def
appTerm
refl
5667
def
5665
ref
539
ref
appTerm
betaConv
appThm
166
ref
5666
remove
betaConv
appThm
5668
def
7
ref
1103
ref
5659
ref
appTerm
appTerm
7
ref
553
ref
5054
ref
appTerm
appTerm
5658
ref
appTerm
appTerm
refl
appThm
trans
5665
remove
refl
5669
def
5065
remove
appThm
eqMp
sym
235
ref
nil
149
ref
5659
ref
nil
cons
cons
nil
cons
nil
cons
cons
5670
def
1107
ref
subst
appThm
235
ref
5078
remove
appThm
5658
ref
refl
5671
def
appThm
nil
149
ref
5658
ref
nil
cons
cons
nil
cons
nil
cons
cons
5672
def
305
ref
subst
trans
appThm
5672
remove
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
5069
remove
164
ref
5660
ref
cons
nil
cons
5673
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
5073
remove
5661
remove
cons
nil
cons
cons
5674
def
136
ref
subst
5674
remove
195
ref
subst
5667
remove
"_11751"
3
ref
var
5675
def
7
ref
43
ref
5675
remove
varTerm
5676
def
appTerm
5659
ref
appTerm
appTerm
7
ref
7
ref
5676
remove
appTerm
5054
ref
appTerm
appTerm
5658
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
5668
remove
7
ref
424
ref
5659
remove
appTerm
appTerm
7
ref
301
ref
5054
remove
appTerm
appTerm
5658
remove
appTerm
appTerm
refl
appThm
trans
5669
remove
5077
remove
appThm
eqMp
sym
235
ref
5670
ref
428
ref
subst
appThm
235
ref
5068
remove
appThm
5671
remove
appThm
appThm
5670
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
5079
ref
5673
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5081
remove
nil
5079
remove
5082
remove
1064
ref
5660
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
5677
def
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
5507
remove
cons
164
ref
5484
ref
cons
nil
cons
5678
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5505
remove
cons
5678
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
5488
ref
2247
ref
appTerm
appTerm
5472
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
5489
remove
appTerm
5472
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5488
remove
nil
cons
cons
5678
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
5501
remove
cons
5678
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
5500
remove
appTerm
nil
cons
cons
119
ref
7
ref
5491
ref
appTerm
5472
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
5490
remove
nil
cons
cons
5678
ref
cons
nil
cons
cons
947
ref
subst
eqMp
nil
1088
ref
5485
remove
cons
nil
cons
cons
5679
def
136
ref
subst
5679
remove
195
ref
subst
5513
remove
"_11793"
49
ref
var
5680
def
453
ref
454
ref
43
ref
4499
ref
5680
remove
varTerm
appTerm
appTerm
5471
ref
appTerm
absTerm
appTerm
absTerm
56
ref
appTerm
betaConv
appThm
5514
remove
453
ref
454
ref
43
ref
4499
ref
56
ref
appTerm
appTerm
5471
ref
appTerm
absTerm
appTerm
5681
def
refl
appThm
trans
5523
remove
1091
ref
appThm
eqMp
sym
5545
remove
"_11797"
49
ref
var
5682
def
7
ref
62
ref
5682
remove
varTerm
5683
def
appTerm
appTerm
4913
ref
221
ref
5683
remove
appTerm
appTerm
appTerm
absTerm
56
ref
appTerm
betaConv
appThm
5546
remove
2306
remove
4913
remove
222
ref
appTerm
appTerm
5684
def
refl
appThm
trans
5550
remove
1091
ref
appThm
eqMp
5551
remove
eqMp
nil
117
ref
5684
remove
nil
cons
5685
def
cons
549
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
149
ref
5685
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
537
ref
2307
remove
4921
remove
322
ref
appThm
nil
379
ref
338
ref
cons
nil
cons
nil
cons
cons
4926
ref
subst
4230
remove
trans
trans
appThm
1026
ref
trans
appThm
566
ref
trans
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
5681
remove
nil
cons
cons
nil
cons
nil
cons
cons
560
ref
subst
proveHyp
eqMp
eqMp
nil
541
ref
5678
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
541
ref
164
ref
5491
remove
nil
cons
cons
1064
ref
5484
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
162
ref
5496
remove
cons
5678
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5483
remove
cons
5678
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
5479
remove
cons
164
ref
5481
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
5467
remove
appTerm
5478
remove
appTerm
nil
cons
cons
119
ref
17
ref
32
ref
5469
remove
absTerm
5686
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
5686
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
5686
ref
36
ref
appTerm
betaConv
5687
def
appThm
5686
ref
37
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
5687
remove
absThm
appThm
appThm
nil
409
ref
5686
remove
nil
cons
cons
nil
cons
nil
cons
cons
416
ref
subst
eqMp
eqMp
eqMp
5688
def
nil
117
ref
59
ref
5438
ref
appTerm
5689
def
nil
cons
cons
5690
def
119
ref
5439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5438
ref
nil
cons
cons
5691
def
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5437
remove
nil
cons
cons
119
ref
5435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5434
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
5692
def
nil
117
ref
5433
remove
nil
cons
cons
5693
def
119
ref
7
ref
5425
ref
appTerm
5421
ref
appTerm
nil
cons
cons
nil
cons
5694
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
512
ref
454
ref
7
ref
5424
ref
455
ref
appTerm
5695
def
appTerm
5421
ref
appTerm
5696
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5696
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5695
ref
nil
cons
5697
def
cons
119
ref
5430
ref
cons
nil
cons
5698
def
cons
nil
cons
cons
5699
def
136
ref
subst
5699
remove
195
ref
subst
5695
ref
betaConv
5700
def
5695
remove
assume
eqMp
nil
117
ref
5423
ref
nil
cons
5701
def
cons
5702
def
5698
remove
cons
nil
cons
cons
5703
def
187
ref
subst
proveHyp
5703
ref
136
ref
subst
5703
remove
195
ref
subst
nil
162
ref
4508
remove
cons
5704
def
164
ref
1792
remove
cons
nil
cons
cons
nil
cons
cons
5705
def
178
ref
subst
5705
remove
436
ref
subst
nil
625
ref
119
ref
5420
ref
nil
cons
5706
def
cons
nil
cons
5707
def
cons
nil
cons
cons
5708
def
136
ref
subst
5708
remove
195
ref
subst
nil
1793
remove
5707
ref
cons
nil
cons
cons
187
ref
subst
235
ref
1447
ref
appThm
5420
ref
refl
5709
def
appThm
sym
nil
117
ref
1234
ref
cons
5707
remove
cons
nil
cons
cons
5710
def
136
ref
subst
5710
remove
195
ref
subst
1273
ref
120
ref
"_11807"
0
ref
var
5711
def
2469
ref
5711
remove
varTerm
appTerm
227
ref
appTerm
absTerm
5712
def
36
ref
appTerm
5713
def
appTerm
refl
5712
ref
1223
ref
appTerm
betaConv
appThm
166
ref
5713
remove
betaConv
appThm
2469
ref
1223
remove
appTerm
5714
def
227
ref
appTerm
5715
def
refl
appThm
trans
5712
remove
refl
1225
remove
assume
sym
appThm
eqMp
sym
306
ref
4582
remove
appThm
597
ref
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
5422
ref
64
ref
appTerm
nil
cons
cons
119
ref
5715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4304
remove
514
remove
cons
5716
def
4303
ref
1244
remove
cons
nil
cons
cons
nil
cons
cons
4699
remove
subst
eqMp
eqMp
proveHyp
eqMp
nil
1235
ref
164
ref
5706
ref
cons
nil
cons
5717
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
589
ref
5717
remove
cons
nil
cons
cons
5718
def
178
ref
subst
5719
def
deductAntisym
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
5701
ref
cons
164
ref
5430
remove
cons
nil
cons
5720
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
5697
remove
cons
5720
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
5424
ref
2247
ref
appTerm
appTerm
5421
ref
appTerm
absTerm
appTerm
nil
cons
cons
5694
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5424
remove
nil
cons
5721
def
cons
5720
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
5722
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
17
ref
5429
remove
appTerm
thm
nil
512
ref
60
ref
17
ref
32
ref
7
ref
498
ref
5420
ref
appTerm
5723
def
appTerm
5425
ref
appTerm
5724
def
absTerm
5725
def
appTerm
5726
def
absTerm
5727
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5726
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
5725
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5724
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5723
remove
nil
cons
5728
def
cons
5432
ref
cons
nil
cons
cons
5729
def
136
ref
subst
5729
remove
195
ref
subst
5719
remove
5718
remove
436
ref
subst
5692
remove
nil
5693
remove
5432
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
812
remove
nil
149
ref
5706
remove
cons
nil
cons
nil
cons
cons
5730
def
156
ref
subst
5420
remove
assume
eqMp
appThm
1381
ref
trans
appThm
5425
remove
refl
5731
def
appThm
nil
149
ref
5431
ref
cons
nil
cons
nil
cons
cons
5732
def
305
ref
subst
trans
appThm
5731
remove
appThm
5732
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
5728
remove
cons
164
ref
5431
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5727
remove
appTerm
thm
5688
ref
nil
5689
remove
thm
707
remove
nil
234
remove
thm
nil
512
ref
60
ref
59
ref
454
ref
7
ref
4501
remove
appTerm
4504
remove
appTerm
5733
def
absTerm
5734
def
appTerm
5735
def
absTerm
5736
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5735
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5734
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5733
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
4624
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5736
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
5257
remove
absTerm
5737
def
appTerm
5738
def
absTerm
5739
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5738
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5737
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5258
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5256
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5739
remove
appTerm
thm
4249
remove
nil
4250
remove
thm
810
remove
nil
811
remove
thm
nil
512
ref
60
ref
65
ref
31
ref
220
remove
2
ref
47
ref
67
ref
opType
5740
def
33
remove
cons
opType
constTerm
2330
ref
2
ref
57
ref
5740
ref
nil
cons
5741
def
cons
opType
constTerm
5742
def
"v"
49
ref
var
5743
def
453
ref
454
ref
43
ref
465
ref
5743
ref
varTerm
appTerm
5744
def
455
ref
appTerm
appTerm
5745
def
4500
ref
appTerm
absTerm
appTerm
absTerm
appTerm
5746
def
appTerm
appTerm
2688
remove
2290
ref
appTerm
5747
def
227
ref
appTerm
5748
def
appTerm
5749
def
appTerm
5750
def
absTerm
5751
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5750
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
625
ref
119
ref
5749
ref
nil
cons
5752
def
cons
nil
cons
5753
def
cons
nil
cons
cons
5754
def
136
ref
subst
5754
remove
195
ref
subst
32
ref
2460
ref
323
ref
2
ref
5740
ref
29
ref
cons
opType
constTerm
5755
def
5746
ref
appTerm
5756
def
5747
remove
36
ref
appTerm
5757
def
appTerm
5758
def
appTerm
5759
def
absTerm
5760
def
227
ref
appTerm
5761
def
betaConv
nil
211
ref
5760
ref
nil
cons
cons
5762
def
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5759
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
1786
ref
119
ref
5758
remove
nil
cons
5763
def
cons
nil
cons
cons
nil
cons
cons
5764
def
136
ref
subst
5764
remove
195
ref
subst
5755
ref
refl
60
ref
20
ref
2
ref
5740
ref
2
ref
5740
ref
4
ref
cons
opType
5765
def
nil
cons
5766
def
cons
opType
5767
def
constTerm
5768
def
5746
ref
appTerm
2471
ref
2
ref
2428
ref
2
ref
47
ref
21
remove
opType
5769
def
5741
ref
cons
opType
nil
cons
cons
opType
constTerm
197
ref
2429
ref
2430
ref
451
ref
13
ref
2434
ref
651
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5770
def
appTerm
2330
ref
2
ref
11
ref
5769
ref
nil
cons
cons
opType
constTerm
5771
def
"v"
10
ref
var
5772
def
450
ref
203
remove
constTerm
5773
def
197
ref
43
ref
198
ref
5772
ref
varTerm
appTerm
199
ref
appTerm
appTerm
5774
def
43
ref
12
ref
13
ref
630
ref
1543
ref
651
ref
appTerm
327
ref
appTerm
appTerm
absTerm
appTerm
appTerm
5775
def
12
ref
13
ref
633
ref
120
ref
651
ref
appTerm
5776
def
539
ref
appTerm
appTerm
absTerm
appTerm
appTerm
5777
def
appTerm
absTerm
appTerm
absTerm
appTerm
5778
def
appTerm
5779
def
appTerm
absTerm
5780
def
63
ref
appTerm
5781
def
betaConv
nil
59
ref
5780
ref
appTerm
5782
def
axiom
nil
117
ref
5782
remove
nil
cons
cons
119
ref
5781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5780
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
5757
ref
refl
appThm
sym
nil
668
ref
197
ref
664
ref
"y"
10
ref
var
5783
def
7
ref
43
ref
76
ref
2
ref
10
ref
2
ref
5769
ref
4
ref
cons
opType
nil
cons
cons
opType
constTerm
5784
def
199
ref
appTerm
5785
def
5778
ref
appTerm
appTerm
5786
def
43
ref
5784
ref
5783
ref
varTerm
5787
def
appTerm
5778
ref
appTerm
appTerm
5788
def
465
ref
5770
ref
199
ref
appTerm
5789
def
appTerm
5790
def
5770
ref
5787
ref
appTerm
5791
def
appTerm
appTerm
appTerm
appTerm
200
ref
5787
ref
appTerm
appTerm
absTerm
appTerm
5792
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
667
ref
96
ref
cons
5793
def
370
ref
subst
5794
def
subst
197
ref
nil
149
ref
5792
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
668
ref
1623
ref
7
ref
5786
remove
43
ref
5784
ref
1625
ref
appTerm
5795
def
5778
ref
appTerm
appTerm
5790
remove
5770
ref
1625
ref
appTerm
5796
def
appTerm
appTerm
appTerm
appTerm
200
remove
1625
ref
appTerm
appTerm
5797
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
5794
remove
subst
1623
ref
nil
149
ref
5797
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
306
ref
166
ref
5785
remove
refl
5771
remove
refl
5772
remove
5773
remove
refl
197
ref
5774
remove
refl
197
ref
5777
remove
absTerm
5798
def
199
ref
appTerm
betaConv
5799
def
appThm
absThm
appThm
absThm
appThm
5800
def
appThm
appThm
5799
remove
appThm
nil
"p"
11
ref
var
5798
ref
nil
cons
cons
5801
def
671
ref
cons
nil
cons
cons
5793
remove
2670
ref
subst
5802
def
subst
eqMp
5775
ref
refl
236
ref
13
ref
634
ref
nil
149
ref
3098
remove
cons
nil
cons
nil
cons
cons
984
ref
subst
appThm
absThm
appThm
appThm
trans
appThm
306
ref
166
ref
5795
remove
refl
5800
remove
appThm
appThm
5798
remove
1625
ref
appTerm
betaConv
appThm
nil
5801
remove
1637
ref
cons
nil
cons
cons
5802
remove
subst
eqMp
43
ref
12
ref
13
ref
630
ref
1543
remove
1626
ref
appTerm
327
remove
appTerm
appTerm
absTerm
appTerm
appTerm
5803
def
refl
236
ref
13
ref
634
remove
nil
149
ref
1626
ref
nil
cons
cons
nil
cons
nil
cons
cons
984
ref
subst
appThm
absThm
appThm
appThm
trans
appThm
nil
454
ref
5796
ref
nil
cons
cons
60
ref
5789
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3907
ref
subst
236
ref
13
ref
166
ref
4998
ref
5789
remove
betaConv
appThm
2670
ref
trans
appThm
4998
ref
5796
remove
betaConv
appThm
nil
197
ref
1636
ref
cons
nil
cons
nil
cons
cons
2670
ref
subst
trans
appThm
absThm
appThm
trans
appThm
appThm
appThm
nil
"g"
10
remove
var
1636
remove
cons
3093
remove
670
remove
cons
nil
cons
cons
nil
cons
cons
1713
ref
3188
remove
subst
subst
appThm
sym
nil
117
ref
43
ref
5775
remove
12
ref
13
ref
633
ref
1730
remove
appTerm
absTerm
appTerm
appTerm
5804
def
appTerm
43
ref
5803
remove
12
ref
13
ref
633
remove
19
ref
1626
ref
appTerm
appTerm
absTerm
appTerm
appTerm
5805
def
appTerm
12
ref
13
ref
5776
remove
1626
ref
appTerm
absTerm
appTerm
5806
def
appTerm
5807
def
appTerm
nil
cons
5808
def
cons
119
ref
5806
remove
nil
cons
5809
def
cons
nil
cons
cons
nil
cons
cons
5810
def
136
ref
subst
5810
remove
195
ref
subst
nil
162
ref
5804
remove
nil
cons
cons
164
ref
5807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
5805
remove
nil
cons
cons
164
ref
5809
remove
cons
nil
cons
5811
def
cons
nil
cons
cons
436
ref
subst
proveHyp
eqMp
nil
162
ref
5808
remove
cons
5811
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
117
ref
664
ref
669
ref
664
ref
5783
remove
7
ref
43
ref
5784
remove
669
remove
varTerm
5812
def
appTerm
5778
ref
appTerm
appTerm
5788
remove
465
ref
5770
ref
5812
ref
appTerm
appTerm
5791
remove
appTerm
appTerm
appTerm
appTerm
198
remove
5812
remove
appTerm
5787
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
5813
def
nil
cons
cons
119
ref
323
remove
2
ref
5769
ref
29
remove
cons
opType
constTerm
5778
ref
appTerm
5757
ref
appTerm
5814
def
nil
cons
cons
nil
cons
5815
def
cons
nil
cons
cons
195
ref
subst
proveHyp
306
ref
nil
149
ref
1785
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
496
ref
assume
eqMp
5816
def
appThm
nil
149
ref
2291
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
2289
remove
eqMp
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
1576
remove
2291
remove
appTerm
nil
cons
cons
5815
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
380
ref
32
ref
2290
remove
nil
cons
cons
4064
ref
548
remove
cons
1539
remove
443
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
1713
remove
4254
remove
subst
subst
eqMp
eqMp
nil
117
ref
43
ref
5813
remove
appTerm
5814
remove
appTerm
nil
cons
cons
119
ref
5755
remove
5779
remove
appTerm
5757
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
32
ref
5757
remove
nil
cons
cons
"s"
5769
remove
var
5778
remove
nil
cons
cons
"f"
2428
remove
var
5770
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
666
remove
"B"
67
ref
cons
5817
def
nil
cons
5818
def
cons
96
ref
cons
3849
ref
subst
subst
eqMp
eqMp
eqMp
nil
162
ref
1785
ref
cons
164
ref
5763
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
5819
def
nil
117
ref
17
ref
5760
remove
appTerm
5820
def
nil
cons
5821
def
cons
119
ref
5761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
5762
remove
896
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
2446
ref
appTerm
5756
remove
5748
ref
appTerm
appTerm
nil
cons
cons
5753
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
4262
ref
appThm
nil
32
ref
5748
remove
nil
cons
cons
"s"
5740
ref
var
5822
def
5746
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
622
ref
516
ref
subst
subst
appThm
nil
149
ref
43
ref
61
ref
5765
ref
constTerm
5823
def
5746
remove
appTerm
5824
def
appTerm
5749
ref
appTerm
nil
cons
5825
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5749
remove
refl
appThm
sym
nil
117
ref
5825
ref
cons
5753
remove
cons
nil
cons
cons
5826
def
136
ref
subst
5826
remove
195
ref
subst
nil
162
ref
5824
ref
nil
cons
5827
def
cons
164
ref
5752
remove
cons
nil
cons
5828
def
cons
nil
cons
cons
436
ref
subst
eqMp
nil
162
ref
5825
remove
cons
5828
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
589
ref
5828
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
59
ref
5751
remove
appTerm
thm
nil
512
ref
60
ref
5820
remove
absTerm
5829
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5821
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5819
remove
eqMp
absThm
eqMp
nil
59
ref
5829
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
5180
ref
120
ref
4055
ref
appTerm
3884
ref
appTerm
5830
def
appTerm
5831
def
absTerm
5832
def
appTerm
5833
def
absTerm
5834
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5833
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5832
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5831
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
5187
ref
119
ref
5830
ref
nil
cons
5835
def
cons
nil
cons
cons
nil
cons
cons
5836
def
136
ref
subst
5836
remove
195
ref
subst
5191
ref
5192
ref
166
ref
4052
ref
refl
5837
def
5352
remove
appThm
appThm
3884
ref
refl
5838
def
appThm
sym
166
ref
nil
243
remove
5351
remove
cons
4616
remove
nil
cons
5839
def
cons
nil
cons
cons
272
ref
3186
ref
subst
subst
appThm
5838
remove
appThm
sym
166
ref
nil
32
ref
5269
remove
cons
5194
remove
cons
nil
cons
cons
5840
def
32
ref
120
ref
4789
remove
382
ref
appTerm
appTerm
4910
ref
appTerm
absTerm
5841
def
36
ref
appTerm
5842
def
betaConv
379
ref
17
ref
5841
ref
appTerm
5843
def
absTerm
5844
def
382
ref
appTerm
5845
def
betaConv
nil
17
ref
5844
ref
appTerm
5846
def
axiom
nil
117
ref
5846
remove
nil
cons
cons
119
ref
5845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5844
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5843
remove
nil
cons
cons
119
ref
5842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5841
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
3898
remove
appThm
sym
1675
ref
597
ref
appThm
4181
remove
appThm
289
ref
1684
ref
subst
trans
sym
155
ref
eqMp
nil
117
ref
883
ref
64
ref
appTerm
5847
def
1221
ref
appTerm
5848
def
nil
cons
cons
119
ref
62
ref
3889
remove
appTerm
5849
def
nil
cons
5850
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
454
ref
7
ref
5848
remove
appTerm
5849
remove
appTerm
absTerm
5851
def
455
ref
appTerm
5852
def
betaConv
60
ref
59
ref
5851
ref
appTerm
5853
def
absTerm
5854
def
63
ref
appTerm
5855
def
betaConv
nil
59
ref
5854
ref
appTerm
5856
def
axiom
nil
117
ref
5856
remove
nil
cons
cons
119
ref
5855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5854
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5853
remove
nil
cons
cons
119
ref
5852
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5851
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
nil
117
ref
5850
remove
cons
119
ref
120
ref
31
ref
5197
ref
appTerm
84
ref
appTerm
appTerm
3890
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
60
ref
5304
remove
cons
nil
cons
nil
cons
cons
1053
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
5255
ref
164
ref
5835
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5857
def
nil
59
ref
5834
remove
appTerm
thm
4208
remove
nil
4209
remove
thm
nil
512
ref
60
ref
17
ref
32
ref
1230
ref
520
remove
1129
remove
appTerm
appTerm
5858
def
absTerm
5859
def
appTerm
5860
def
absTerm
5861
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5860
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
5859
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5858
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1123
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5861
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
5180
ref
4052
ref
606
ref
4054
ref
appTerm
5197
ref
appTerm
appTerm
5862
def
appTerm
5863
def
absTerm
5864
def
appTerm
5865
def
absTerm
5866
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5865
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5864
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5863
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
5187
ref
119
ref
5862
ref
nil
cons
5867
def
cons
nil
cons
5868
def
cons
nil
cons
cons
5869
def
136
ref
subst
5869
remove
195
ref
subst
5191
ref
5192
ref
nil
5187
ref
5262
remove
cons
nil
cons
cons
5870
def
136
ref
subst
5870
remove
195
ref
subst
5191
remove
5192
remove
5349
remove
proveHyp
proveHyp
eqMp
nil
5255
ref
5348
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
5871
def
nil
117
ref
5180
ref
5260
ref
appTerm
5872
def
nil
cons
5873
def
cons
5868
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
5263
remove
5264
remove
appThm
nil
149
ref
5261
ref
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
5862
remove
refl
appThm
sym
nil
5350
remove
5868
remove
cons
nil
cons
cons
5874
def
136
ref
subst
5874
remove
195
ref
subst
120
ref
"_11719"
0
ref
var
5875
def
4052
ref
606
ref
5875
remove
varTerm
appTerm
5197
ref
appTerm
appTerm
absTerm
5876
def
4054
ref
appTerm
5877
def
appTerm
refl
5876
ref
5259
ref
appTerm
betaConv
appThm
166
ref
5877
remove
betaConv
appThm
4052
remove
606
ref
5259
remove
appTerm
5197
remove
appTerm
appTerm
refl
appThm
trans
5876
remove
refl
5260
remove
assume
sym
appThm
eqMp
sym
5837
remove
5840
remove
788
ref
subst
appThm
nil
5839
remove
nil
cons
cons
275
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
5261
remove
cons
164
ref
5867
remove
cons
nil
cons
5878
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
5255
remove
5878
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5866
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
5872
remove
absTerm
5879
def
appTerm
5880
def
absTerm
5881
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5880
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5879
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5873
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
5871
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5881
remove
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
7
ref
498
ref
1222
ref
2568
ref
4051
remove
appTerm
4054
remove
appTerm
5882
def
appTerm
5883
def
appTerm
5884
def
appTerm
19
ref
3884
remove
appTerm
5885
def
appTerm
5886
def
absTerm
5887
def
appTerm
5888
def
absTerm
5889
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5888
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
5887
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
5886
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
5884
remove
nil
cons
5890
def
cons
119
ref
5885
remove
nil
cons
5891
def
cons
nil
cons
cons
nil
cons
cons
5892
def
136
ref
subst
5892
remove
195
ref
subst
nil
589
ref
164
ref
5883
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5893
def
178
ref
subst
5893
remove
436
ref
subst
nil
1258
remove
164
ref
5882
remove
nil
cons
5894
def
cons
nil
cons
cons
nil
cons
cons
5895
def
178
ref
subst
5895
remove
436
ref
subst
537
ref
4182
remove
sym
155
ref
eqMp
nil
5187
remove
119
ref
3885
remove
4055
ref
appTerm
5896
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
454
ref
5180
ref
5896
ref
appTerm
absTerm
5897
def
455
ref
appTerm
5898
def
betaConv
60
ref
59
ref
5897
ref
appTerm
5899
def
absTerm
5900
def
63
ref
appTerm
5901
def
betaConv
298
ref
60
ref
298
ref
454
ref
5180
remove
refl
5896
remove
assume
sym
5830
remove
assume
sym
deductAntisym
appThm
absThm
appThm
absThm
appThm
5857
remove
eqMp
nil
117
ref
59
ref
5900
ref
appTerm
nil
cons
cons
119
ref
5901
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5900
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5899
remove
nil
cons
cons
119
ref
5898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
5897
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
appThm
sym
nil
162
ref
4056
remove
cons
5902
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
4615
remove
549
ref
cons
nil
cons
cons
5903
def
136
ref
subst
5903
remove
195
ref
subst
nil
117
ref
5894
ref
cons
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
5894
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
537
ref
2568
ref
refl
5904
def
4055
remove
assume
appThm
5289
remove
appThm
nil
5193
remove
nil
cons
nil
cons
cons
2678
ref
subst
trans
appThm
566
ref
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
5902
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
5890
remove
cons
164
ref
5891
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5889
remove
appTerm
thm
nil
512
ref
60
ref
17
ref
32
ref
1230
remove
474
remove
appTerm
5905
def
absTerm
5906
def
appTerm
5907
def
absTerm
5908
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5907
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
5906
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5905
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1533
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5908
remove
appTerm
thm
nil
512
ref
60
ref
17
ref
32
ref
120
ref
5823
ref
5742
ref
5743
ref
453
ref
454
ref
5745
ref
5423
ref
appTerm
absTerm
appTerm
absTerm
appTerm
5909
def
appTerm
5910
def
appTerm
5911
def
5847
ref
4910
ref
appTerm
appTerm
5912
def
absTerm
5913
def
appTerm
5914
def
absTerm
5915
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
5914
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
5913
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
5912
remove
nil
cons
5916
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
19
ref
4910
ref
appTerm
5917
def
nil
cons
5918
def
cons
5919
def
119
ref
5916
ref
cons
nil
cons
5920
def
cons
nil
cons
cons
5921
def
136
ref
subst
5921
remove
195
ref
subst
5911
ref
refl
5922
def
5847
ref
refl
5923
def
nil
5919
ref
119
ref
120
ref
4910
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
4927
ref
cons
5924
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
594
ref
1767
ref
subst
trans
appThm
sym
nil
117
ref
19
ref
64
ref
appTerm
5925
def
nil
cons
5926
def
cons
5927
def
119
ref
5911
remove
64
ref
appTerm
nil
cons
5928
def
cons
nil
cons
5929
def
cons
nil
cons
cons
5930
def
136
ref
subst
5930
remove
195
ref
subst
5922
ref
nil
5927
remove
119
ref
2441
remove
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
589
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
5931
def
appThm
nil
149
ref
5910
ref
nil
cons
5932
def
cons
nil
cons
nil
cons
cons
5933
def
984
ref
subst
trans
sym
nil
162
ref
5932
ref
cons
5934
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
5932
ref
cons
549
ref
cons
nil
cons
cons
5935
def
136
ref
subst
5935
remove
195
ref
subst
4417
remove
"Set.bigUnion"
const
5936
def
2
ref
5740
ref
67
remove
cons
opType
constTerm
5937
def
5909
ref
appTerm
5938
def
appTerm
betaConv
sym
nil
5822
ref
5909
remove
nil
cons
cons
nil
cons
nil
cons
cons
5822
ref
120
ref
62
ref
5937
ref
5822
ref
varTerm
5939
def
appTerm
5940
def
appTerm
appTerm
5941
def
43
ref
5823
ref
5939
ref
appTerm
5942
def
appTerm
59
ref
454
ref
7
ref
76
ref
2
ref
49
ref
5766
remove
cons
opType
constTerm
5943
def
455
ref
appTerm
5944
def
5939
ref
appTerm
appTerm
5945
def
1221
ref
appTerm
absTerm
appTerm
5946
def
appTerm
appTerm
absTerm
5947
def
5939
ref
appTerm
5948
def
betaConv
nil
8
ref
2
ref
5765
ref
4
ref
cons
opType
5949
def
constTerm
5950
def
5947
ref
appTerm
5951
def
axiom
nil
117
ref
5951
remove
nil
cons
cons
119
ref
5948
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
5741
ref
cons
nil
cons
5952
def
"P"
5765
remove
var
5953
def
5947
remove
nil
cons
cons
"x"
5740
ref
var
5954
def
5939
ref
nil
cons
cons
nil
cons
5955
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
306
ref
5933
ref
156
ref
subst
5910
ref
assume
eqMp
appThm
166
ref
298
ref
454
ref
235
ref
5944
ref
refl
5956
def
5742
ref
refl
5957
def
5743
ref
1216
ref
454
ref
306
ref
5744
ref
refl
454
ref
455
ref
absTerm
5958
def
455
ref
appTerm
betaConv
5959
def
appThm
appThm
5700
ref
appThm
absThm
appThm
absThm
appThm
5960
def
appThm
appThm
1221
ref
refl
appThm
absThm
appThm
appThm
298
ref
454
ref
235
ref
5700
ref
appThm
1090
ref
5959
ref
appThm
appThm
absThm
appThm
appThm
nil
"f"
68
remove
var
5958
remove
nil
cons
cons
5961
def
1034
ref
5721
remove
cons
5962
def
1893
ref
62
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
510
ref
5818
remove
cons
96
ref
cons
"q"
102
ref
var
5963
def
120
ref
104
ref
3238
ref
7
ref
2340
ref
3241
ref
appTerm
5964
def
4288
ref
4290
ref
451
ref
13
ref
43
ref
4291
ref
248
ref
appTerm
appTerm
5965
def
651
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
5963
remove
varTerm
5966
def
3241
ref
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
934
ref
5966
ref
248
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5967
def
5966
ref
appTerm
5968
def
betaConv
246
ref
8
ref
2
ref
103
ref
4
ref
cons
opType
constTerm
5969
def
5967
ref
appTerm
5970
def
absTerm
5971
def
247
ref
appTerm
5972
def
betaConv
197
ref
257
ref
5971
ref
appTerm
5973
def
absTerm
5974
def
199
ref
appTerm
5975
def
betaConv
nil
664
ref
5974
ref
appTerm
5976
def
axiom
nil
117
ref
5976
remove
nil
cons
cons
119
ref
5975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
5974
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5973
remove
nil
cons
cons
119
ref
5972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
5971
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5970
remove
nil
cons
cons
119
ref
5968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
"A"
107
remove
cons
nil
cons
5977
def
"P"
103
remove
var
5978
def
5967
remove
nil
cons
cons
"x"
102
ref
var
5979
def
5966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
appThm
nil
149
ref
59
ref
454
ref
7
ref
5423
ref
appTerm
1221
ref
appTerm
5980
def
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
trans
sym
298
ref
454
ref
nil
117
ref
5422
remove
1226
remove
appTerm
5981
def
nil
cons
5982
def
cons
119
ref
120
ref
1221
ref
appTerm
5983
def
141
ref
appTerm
5984
def
nil
cons
5985
def
cons
nil
cons
cons
nil
cons
cons
5986
def
136
ref
subst
5986
remove
195
ref
subst
1256
remove
nil
5704
remove
164
ref
1234
remove
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
1262
remove
proveHyp
eqMp
eqMp
nil
162
ref
5982
ref
cons
164
ref
5985
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
5981
ref
appTerm
5987
def
5984
remove
appTerm
nil
cons
cons
119
ref
120
ref
5980
remove
appTerm
5988
def
5987
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
5457
ref
1447
remove
appThm
nil
117
ref
120
ref
5423
ref
appTerm
5989
def
5981
remove
appTerm
nil
cons
cons
119
ref
7
ref
5987
ref
5983
remove
1450
ref
appTerm
5990
def
appTerm
appTerm
5988
ref
5987
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
5982
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
5989
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
5990
remove
appTerm
appTerm
5988
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
5991
def
1450
ref
appTerm
5992
def
betaConv
1452
ref
280
ref
5991
ref
appTerm
5993
def
absTerm
5994
def
1453
ref
appTerm
5995
def
betaConv
nil
119
ref
1254
remove
cons
5702
remove
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
5994
ref
appTerm
nil
cons
cons
119
ref
5995
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5994
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5993
remove
nil
cons
cons
119
ref
5992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
5991
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
5982
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
eqMp
nil
117
ref
62
ref
5938
ref
appTerm
nil
cons
cons
119
ref
4314
ref
5938
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
454
ref
5938
ref
nil
cons
5996
def
cons
nil
cons
nil
cons
cons
4970
ref
subst
sym
nil
188
ref
13
ref
630
ref
79
ref
5938
remove
appTerm
5997
def
appTerm
5998
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
5998
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
675
ref
119
ref
5997
remove
nil
cons
5999
def
cons
nil
cons
cons
nil
cons
cons
6000
def
136
ref
subst
6000
remove
195
ref
subst
4998
ref
1098
ref
5937
ref
refl
6001
def
5960
remove
appThm
appThm
4293
ref
2430
ref
1198
ref
452
ref
43
ref
2432
ref
459
ref
appTerm
appTerm
refl
1216
ref
454
ref
306
ref
5700
remove
appThm
1099
remove
5959
remove
appThm
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
5961
remove
5962
remove
nil
cons
cons
nil
cons
cons
510
remove
"B"
48
ref
cons
6002
def
nil
cons
6003
def
cons
96
ref
cons
"f"
3351
ref
var
6004
def
2486
ref
5936
remove
2
ref
47
remove
2383
ref
opType
6005
def
2383
ref
cons
opType
constTerm
6006
def
2330
remove
2
ref
2315
ref
6005
ref
nil
cons
6007
def
cons
opType
constTerm
6008
def
"v"
2314
ref
var
6009
def
451
ref
13
ref
43
ref
2486
ref
6009
ref
varTerm
appTerm
6010
def
6004
ref
varTerm
6011
def
23
ref
appTerm
6012
def
appTerm
appTerm
651
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
4288
ref
4290
ref
3318
ref
2900
remove
43
ref
4291
remove
2902
remove
appTerm
appTerm
451
ref
13
ref
1624
ref
2965
remove
6012
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
6013
def
6011
ref
appTerm
6014
def
betaConv
197
ref
3365
ref
6013
ref
appTerm
6015
def
absTerm
6016
def
199
ref
appTerm
6017
def
betaConv
nil
664
ref
6016
ref
appTerm
6018
def
axiom
nil
117
ref
6018
remove
nil
cons
cons
119
ref
6017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
6016
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6015
remove
nil
cons
cons
119
ref
6014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3415
ref
3418
ref
6013
remove
nil
cons
cons
3436
remove
6011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
4293
ref
2430
ref
166
ref
1198
ref
3143
remove
43
ref
2432
remove
3144
ref
appTerm
appTerm
refl
452
ref
453
ref
454
ref
43
ref
5423
ref
appTerm
6019
def
461
remove
appTerm
absTerm
appTerm
absTerm
6020
def
3144
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
6020
ref
2431
ref
appTerm
betaConv
appThm
nil
197
ref
6020
remove
nil
cons
cons
452
ref
2431
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
452
remove
120
ref
451
ref
13
ref
3975
remove
651
ref
appTerm
absTerm
appTerm
appTerm
199
ref
459
ref
appTerm
appTerm
absTerm
6021
def
459
remove
appTerm
6022
def
betaConv
197
ref
12
ref
6021
ref
appTerm
6023
def
absTerm
6024
def
199
ref
appTerm
6025
def
betaConv
nil
664
ref
6024
ref
appTerm
6026
def
axiom
nil
117
ref
6026
remove
nil
cons
cons
119
ref
6025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
6024
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6023
remove
nil
cons
cons
119
ref
6022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
6021
remove
nil
cons
cons
569
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
absThm
appThm
trans
appThm
nil
197
ref
2430
ref
453
ref
454
ref
6019
ref
78
ref
2431
remove
appTerm
455
ref
appTerm
appTerm
absTerm
appTerm
absTerm
6027
def
nil
cons
cons
nil
cons
nil
cons
cons
13
ref
120
ref
79
ref
2429
ref
199
ref
appTerm
appTerm
appTerm
651
ref
appTerm
absTerm
6028
def
23
ref
appTerm
6029
def
betaConv
197
ref
12
ref
6028
ref
appTerm
6030
def
absTerm
6031
def
199
ref
appTerm
6032
def
betaConv
nil
664
ref
6031
ref
appTerm
6033
def
axiom
nil
117
ref
6033
remove
nil
cons
cons
119
ref
6032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
6031
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6030
remove
nil
cons
cons
119
ref
6029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
6028
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6034
def
subst
6027
remove
23
ref
appTerm
betaConv
trans
trans
sym
1216
ref
454
ref
6019
remove
refl
1446
remove
13
ref
804
ref
4313
ref
2292
ref
appTerm
6035
def
63
ref
appTerm
6036
def
appTerm
6037
def
absTerm
6038
def
23
ref
appTerm
6039
def
betaConv
60
ref
12
ref
6038
ref
appTerm
6040
def
absTerm
6041
def
63
ref
appTerm
6042
def
betaConv
298
ref
60
ref
236
ref
13
ref
6037
remove
assume
sym
120
ref
6036
ref
appTerm
80
ref
appTerm
6043
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
59
ref
60
ref
12
ref
13
ref
6043
remove
absTerm
6044
def
appTerm
6045
def
absTerm
6046
def
appTerm
6047
def
axiom
6048
def
eqMp
nil
117
ref
59
ref
6041
ref
appTerm
nil
cons
cons
119
ref
6042
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6041
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6040
remove
nil
cons
cons
119
ref
6039
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
6038
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
absThm
appThm
sym
1216
ref
454
ref
nil
2106
ref
6035
remove
455
ref
appTerm
6049
def
nil
cons
cons
2107
ref
5701
remove
cons
nil
cons
cons
nil
cons
cons
3708
ref
subst
absThm
appThm
sym
306
ref
6044
ref
23
ref
appTerm
6050
def
betaConv
6046
ref
63
ref
appTerm
6051
def
betaConv
6048
remove
nil
117
ref
6047
remove
nil
cons
cons
119
ref
6051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6046
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6045
remove
nil
cons
cons
119
ref
6050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
6044
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
694
ref
trans
appThm
2300
remove
306
ref
2483
ref
2310
remove
appThm
1101
ref
appThm
appThm
235
ref
5931
ref
appThm
5709
remove
appThm
5730
remove
1062
ref
subst
trans
appThm
nil
149
ref
2469
ref
431
ref
appTerm
36
ref
appTerm
6052
def
nil
cons
6053
def
cons
nil
cons
nil
cons
cons
6054
def
2422
ref
subst
trans
appThm
6054
remove
428
ref
subst
6055
def
trans
appThm
6055
remove
trans
sym
nil
5919
remove
119
ref
6053
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
32
ref
7
ref
5917
ref
appTerm
6056
def
6052
ref
appTerm
absTerm
6057
def
36
ref
appTerm
6058
def
betaConv
306
ref
237
ref
32
ref
6056
ref
refl
6059
def
32
ref
120
ref
2568
ref
84
ref
appTerm
6060
def
36
ref
appTerm
6061
def
appTerm
5917
ref
appTerm
absTerm
6062
def
36
ref
appTerm
6063
def
betaConv
nil
17
ref
6062
ref
appTerm
6064
def
axiom
nil
117
ref
6064
remove
nil
cons
cons
119
ref
6063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6062
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6065
def
appThm
nil
149
ref
5918
ref
cons
nil
cons
nil
cons
cons
318
ref
subst
6066
def
trans
absThm
appThm
296
ref
trans
appThm
306
ref
237
ref
32
ref
6059
remove
nil
380
ref
4953
remove
cons
nil
cons
cons
32
ref
120
ref
4806
ref
appTerm
19
ref
2570
ref
appTerm
6067
def
appTerm
6068
def
absTerm
6069
def
36
ref
appTerm
6070
def
betaConv
379
ref
17
ref
6069
ref
appTerm
6071
def
absTerm
6072
def
382
ref
appTerm
6073
def
betaConv
237
ref
379
ref
237
ref
32
ref
6068
remove
assume
sym
120
ref
6067
remove
appTerm
4806
ref
appTerm
6074
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
17
ref
379
ref
17
ref
32
ref
6074
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
17
ref
6072
ref
appTerm
nil
cons
cons
119
ref
6073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6072
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6071
remove
nil
cons
cons
119
ref
6070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6069
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
537
ref
2671
ref
refl
421
ref
appThm
4922
remove
32
ref
4765
remove
883
ref
3536
ref
appTerm
2570
ref
appTerm
appTerm
absTerm
6075
def
36
ref
appTerm
6076
def
betaConv
379
ref
17
ref
6075
ref
appTerm
6077
def
absTerm
6078
def
382
ref
appTerm
6079
def
betaConv
nil
17
ref
6078
ref
appTerm
6080
def
axiom
nil
117
ref
6080
remove
nil
cons
cons
119
ref
6079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6078
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6077
remove
nil
cons
cons
119
ref
6076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6075
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6081
def
subst
4911
remove
refl
397
remove
379
ref
19
ref
2618
ref
appTerm
6082
def
absTerm
6083
def
382
ref
appTerm
6084
def
betaConv
nil
17
ref
6083
ref
appTerm
6085
def
axiom
nil
117
ref
6085
remove
nil
cons
cons
119
ref
6084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6083
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6082
remove
nil
cons
cons
119
ref
120
ref
2618
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
2618
ref
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
6086
def
subst
appThm
4928
remove
1767
ref
subst
trans
trans
trans
appThm
trans
6087
def
appThm
6066
ref
trans
absThm
appThm
296
ref
trans
appThm
306
ref
237
ref
32
ref
235
ref
6065
ref
appThm
6088
def
5917
ref
refl
6089
def
appThm
6066
ref
trans
absThm
appThm
296
ref
trans
appThm
306
ref
237
ref
32
ref
6088
remove
6087
ref
appThm
6066
ref
trans
absThm
appThm
296
ref
trans
appThm
306
ref
237
ref
32
ref
235
ref
6087
remove
appThm
6090
def
6065
remove
appThm
6066
ref
trans
absThm
appThm
296
ref
trans
appThm
237
ref
32
ref
6090
remove
6089
remove
appThm
6066
remove
trans
absThm
appThm
296
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
162
ref
17
ref
32
ref
6056
remove
6061
ref
appTerm
absTerm
appTerm
nil
cons
cons
164
ref
43
ref
17
ref
6057
ref
appTerm
6091
def
appTerm
43
ref
17
ref
32
ref
7
ref
6061
ref
appTerm
6092
def
5917
ref
appTerm
absTerm
appTerm
appTerm
43
ref
17
ref
32
ref
6092
remove
6052
ref
appTerm
absTerm
appTerm
appTerm
43
ref
17
ref
32
ref
7
ref
6052
remove
appTerm
6093
def
6061
remove
appTerm
absTerm
appTerm
appTerm
17
ref
32
ref
6093
remove
5917
remove
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
6094
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
proveHyp
nil
162
ref
6091
remove
nil
cons
6095
def
cons
164
ref
6094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
proveHyp
nil
117
ref
6095
remove
cons
119
ref
6058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6057
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
117
ref
43
ref
6036
remove
appTerm
43
ref
62
ref
2292
remove
appTerm
appTerm
43
ref
2469
ref
2301
remove
appTerm
36
ref
appTerm
appTerm
5421
remove
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
453
ref
454
ref
43
ref
6049
remove
appTerm
5423
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4584
ref
2293
remove
cons
nil
cons
cons
nil
117
ref
43
ref
4314
ref
2816
ref
appTerm
6096
def
appTerm
6097
def
498
ref
43
ref
4773
ref
36
ref
appTerm
6098
def
appTerm
7
ref
4585
ref
appTerm
4784
ref
4592
ref
appTerm
6099
def
appTerm
6100
def
appTerm
6101
def
appTerm
6102
def
appTerm
6103
def
nil
cons
6104
def
cons
119
ref
453
ref
454
ref
4316
ref
43
ref
4499
ref
2816
ref
appTerm
6105
def
appTerm
457
ref
appTerm
appTerm
absTerm
6106
def
appTerm
6107
def
nil
cons
6108
def
cons
nil
cons
6109
def
cons
nil
cons
cons
6110
def
136
ref
subst
6110
remove
195
ref
subst
nil
162
ref
6096
ref
nil
cons
6111
def
cons
164
ref
6102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6112
def
178
ref
subst
6112
remove
436
ref
subst
nil
589
ref
164
ref
6101
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6113
def
178
ref
subst
6113
remove
436
ref
subst
nil
162
ref
6098
ref
nil
cons
6114
def
cons
164
ref
6100
remove
nil
cons
6115
def
cons
nil
cons
cons
nil
cons
cons
6116
def
178
ref
subst
6116
remove
436
ref
subst
32
ref
7
ref
7
ref
62
ref
4364
remove
2816
ref
appTerm
63
ref
appTerm
6117
def
appTerm
6118
def
appTerm
6119
def
4784
ref
221
ref
6117
ref
appTerm
6120
def
appTerm
appTerm
appTerm
453
ref
454
ref
43
ref
4499
ref
6117
ref
appTerm
6121
def
appTerm
6122
def
457
ref
appTerm
absTerm
appTerm
appTerm
absTerm
6123
def
4625
remove
227
ref
appTerm
6124
def
appTerm
6125
def
betaConv
5438
remove
6117
ref
appTerm
6126
def
betaConv
5688
remove
nil
5690
remove
119
ref
6126
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
5691
remove
513
ref
6117
ref
nil
cons
6127
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
17
ref
6123
ref
appTerm
nil
cons
cons
119
ref
6125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6123
remove
nil
cons
cons
212
ref
6124
ref
nil
cons
6128
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
6119
remove
2469
ref
6124
ref
appTerm
6129
def
6120
ref
appTerm
6130
def
appTerm
6131
def
appTerm
453
ref
454
ref
6122
remove
456
ref
6124
ref
appTerm
6132
def
appTerm
6133
def
absTerm
6134
def
appTerm
6135
def
appTerm
6136
def
nil
cons
cons
6109
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
117
ref
19
ref
4585
ref
appTerm
nil
cons
6137
def
cons
6138
def
119
ref
6131
ref
nil
cons
6139
def
cons
nil
cons
6140
def
cons
nil
cons
cons
6141
def
136
ref
subst
6141
remove
195
ref
subst
nil
117
ref
6118
remove
nil
cons
6142
def
cons
6143
def
119
ref
6130
remove
nil
cons
6144
def
cons
nil
cons
cons
nil
cons
cons
6145
def
136
ref
subst
6146
def
6145
remove
195
ref
subst
6147
def
nil
6143
remove
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
6142
ref
cons
nil
cons
nil
cons
cons
1010
ref
subst
nil
60
ref
6127
remove
cons
nil
cons
nil
cons
cons
60
ref
120
ref
5925
ref
appTerm
"Set.infinite"
const
57
remove
constTerm
6148
def
63
ref
appTerm
6149
def
appTerm
6150
def
absTerm
6151
def
63
ref
appTerm
6152
def
betaConv
298
ref
60
ref
6150
remove
assume
sym
120
ref
6149
ref
appTerm
5925
remove
appTerm
6153
def
assume
sym
deductAntisym
absThm
appThm
nil
59
ref
60
ref
6153
remove
absTerm
6154
def
appTerm
6155
def
axiom
6156
def
eqMp
nil
117
ref
59
ref
6151
ref
appTerm
nil
cons
cons
119
ref
6152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6151
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
trans
sym
306
ref
2841
remove
6154
ref
63
ref
appTerm
6157
def
betaConv
6156
remove
nil
117
ref
6155
remove
nil
cons
cons
119
ref
6157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6154
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
537
ref
nil
6138
remove
119
ref
120
ref
4585
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
4597
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
trans
appThm
597
ref
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
43
ref
6148
ref
2816
ref
appTerm
appTerm
64
ref
appTerm
nil
cons
cons
119
ref
6148
ref
6117
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4570
ref
2840
remove
cons
nil
cons
cons
6158
def
454
ref
7
ref
43
ref
6149
remove
appTerm
1221
remove
appTerm
appTerm
6148
remove
4456
ref
appTerm
appTerm
absTerm
6159
def
455
ref
appTerm
6160
def
betaConv
60
ref
59
ref
6159
ref
appTerm
6161
def
absTerm
6162
def
63
ref
appTerm
6163
def
betaConv
nil
59
ref
6162
ref
appTerm
6164
def
axiom
nil
117
ref
6164
remove
nil
cons
cons
119
ref
6163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6162
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6161
remove
nil
cons
cons
119
ref
6160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6159
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
162
ref
6144
ref
cons
nil
cons
nil
cons
cons
560
ref
subst
proveHyp
eqMp
nil
162
ref
6142
remove
cons
164
ref
6144
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
6165
def
deductAntisym
eqMp
eqMp
nil
162
ref
6137
ref
cons
164
ref
6139
ref
cons
nil
cons
6166
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
4596
ref
cons
6140
remove
cons
nil
cons
cons
6167
def
136
ref
subst
6167
remove
195
ref
subst
6146
remove
6147
remove
6129
ref
refl
6168
def
306
ref
nil
149
ref
4596
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
4614
remove
eqMp
6169
def
appThm
nil
149
ref
6111
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6096
ref
assume
eqMp
6170
def
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
4586
remove
6096
remove
appTerm
nil
cons
cons
119
ref
31
ref
6120
remove
appTerm
606
ref
4592
ref
appTerm
227
ref
appTerm
6171
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
6158
remove
4624
ref
subst
eqMp
appThm
sym
nil
117
ref
6115
remove
cons
119
ref
6129
ref
6171
remove
appTerm
6172
def
nil
cons
6173
def
cons
nil
cons
6174
def
cons
nil
cons
cons
187
ref
subst
235
ref
235
ref
6169
remove
appThm
6099
ref
refl
appThm
nil
149
ref
6099
ref
nil
cons
6175
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
6172
ref
refl
appThm
sym
nil
117
ref
6175
ref
cons
6174
ref
cons
nil
cons
cons
6176
def
136
ref
subst
6176
remove
195
ref
subst
nil
32
ref
4592
ref
nil
cons
cons
381
ref
cons
nil
cons
cons
4392
ref
subst
6099
remove
assume
eqMp
nil
117
ref
886
ref
4383
ref
31
ref
4592
ref
appTerm
4854
ref
appTerm
6177
def
absTerm
6178
def
appTerm
6179
def
nil
cons
cons
6174
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
211
ref
4383
ref
7
ref
6178
ref
4385
ref
appTerm
6180
def
appTerm
6172
ref
appTerm
6181
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
4383
ref
nil
149
ref
6181
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6180
ref
nil
cons
6182
def
cons
6174
ref
cons
nil
cons
cons
6183
def
136
ref
subst
6183
remove
195
ref
subst
6180
ref
betaConv
6180
remove
assume
eqMp
nil
117
ref
6177
ref
nil
cons
6184
def
cons
6174
remove
cons
nil
cons
cons
6185
def
187
ref
subst
proveHyp
6185
ref
136
ref
subst
6185
remove
195
ref
subst
120
ref
"_11815"
0
ref
var
6186
def
6129
ref
606
ref
6186
remove
varTerm
appTerm
227
ref
appTerm
appTerm
absTerm
6187
def
4592
remove
appTerm
6188
def
appTerm
refl
6187
ref
4854
ref
appTerm
betaConv
appThm
166
ref
6188
remove
betaConv
appThm
6129
ref
606
ref
4854
remove
appTerm
227
ref
appTerm
appTerm
refl
appThm
trans
6187
remove
refl
6177
remove
assume
appThm
eqMp
sym
6168
remove
701
ref
4849
remove
4864
ref
36
ref
appTerm
6189
def
betaConv
4866
remove
382
ref
appTerm
6190
def
betaConv
4868
remove
nil
4870
remove
119
ref
6190
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
4879
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4865
remove
nil
cons
cons
119
ref
6189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
4864
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6191
def
subst
appThm
878
ref
appThm
appThm
sym
1780
ref
4383
ref
4845
remove
nil
4848
remove
3535
ref
cons
nil
cons
cons
6191
ref
subst
appThm
absThm
appThm
nil
3535
ref
nil
cons
cons
6192
def
4392
remove
subst
6098
remove
assume
eqMp
eqMp
nil
117
ref
886
ref
4383
remove
4384
ref
349
ref
4385
remove
appTerm
6193
def
227
ref
appTerm
appTerm
absTerm
6194
def
appTerm
6195
def
nil
cons
cons
119
ref
6129
remove
606
ref
6193
ref
36
ref
appTerm
appTerm
227
ref
appTerm
appTerm
6196
def
nil
cons
6197
def
cons
nil
cons
6198
def
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
211
ref
1310
ref
7
ref
6194
ref
1310
ref
varTerm
6199
def
appTerm
6200
def
appTerm
6196
ref
appTerm
6201
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
1310
ref
nil
149
ref
6201
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6200
ref
nil
cons
6202
def
cons
6198
ref
cons
nil
cons
cons
6203
def
136
ref
subst
6203
remove
195
ref
subst
6200
ref
betaConv
6200
remove
assume
eqMp
nil
117
ref
4384
ref
349
ref
6199
ref
appTerm
227
ref
appTerm
6204
def
appTerm
6205
def
nil
cons
6206
def
cons
6198
remove
cons
nil
cons
cons
6207
def
187
ref
subst
proveHyp
6207
ref
136
ref
subst
6207
remove
195
ref
subst
120
ref
"_11817"
0
ref
var
6208
def
2469
ref
606
ref
6208
remove
varTerm
6209
def
appTerm
227
ref
appTerm
appTerm
606
ref
6193
ref
6209
remove
appTerm
appTerm
227
ref
appTerm
appTerm
absTerm
6210
def
36
ref
appTerm
6211
def
appTerm
refl
6210
ref
6204
ref
appTerm
betaConv
appThm
166
ref
6211
remove
betaConv
appThm
2469
ref
606
ref
6204
ref
appTerm
227
ref
appTerm
appTerm
606
ref
6193
ref
6204
remove
appTerm
appTerm
227
ref
appTerm
appTerm
refl
appThm
trans
6210
remove
refl
6205
remove
assume
appThm
eqMp
sym
2483
ref
nil
1015
ref
379
ref
6199
ref
nil
cons
6212
def
cons
nil
cons
cons
nil
cons
cons
788
ref
subst
appThm
701
ref
nil
4781
ref
636
ref
cons
6213
def
32
ref
6212
remove
cons
6214
def
379
ref
4847
remove
cons
6215
def
nil
cons
cons
cons
nil
cons
cons
5282
ref
4786
ref
appTerm
6216
def
betaConv
5284
ref
36
ref
appTerm
6217
def
betaConv
5286
ref
382
ref
appTerm
6218
def
betaConv
5288
remove
nil
117
ref
5287
remove
nil
cons
cons
119
ref
6218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5286
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5285
remove
nil
cons
cons
119
ref
6217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5284
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5283
remove
nil
cons
cons
119
ref
6216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
5282
remove
nil
cons
cons
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
878
ref
appThm
nil
1015
ref
379
ref
6193
remove
6199
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
788
remove
subst
trans
appThm
nil
6215
remove
6214
remove
nil
cons
cons
nil
cons
cons
4796
remove
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
6206
remove
cons
164
ref
6197
remove
cons
nil
cons
6219
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6202
remove
cons
6219
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
6194
ref
911
ref
appTerm
appTerm
6196
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
6195
remove
appTerm
6196
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6194
remove
nil
cons
cons
6219
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6184
remove
cons
164
ref
6173
remove
cons
nil
cons
6220
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6182
remove
cons
6220
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
6178
ref
911
ref
appTerm
appTerm
6172
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
6179
remove
appTerm
6172
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6178
remove
nil
cons
cons
6220
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
6175
remove
cons
6220
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
6165
remove
deductAntisym
eqMp
eqMp
nil
4597
ref
6166
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
4585
remove
appTerm
6221
def
betaConv
1117
ref
nil
1118
ref
119
ref
6221
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
284
ref
4596
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
4597
remove
164
ref
6137
remove
cons
1064
ref
6139
ref
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
nil
117
ref
6139
remove
cons
6222
def
119
ref
7
ref
6135
ref
appTerm
6107
ref
appTerm
6223
def
nil
cons
cons
nil
cons
6224
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
512
ref
454
ref
7
ref
6134
ref
455
ref
appTerm
6225
def
appTerm
6107
ref
appTerm
6226
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
6226
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6225
ref
nil
cons
6227
def
cons
6109
ref
cons
nil
cons
cons
6228
def
136
ref
subst
6228
remove
195
ref
subst
6225
ref
betaConv
6225
remove
assume
eqMp
nil
117
ref
6133
remove
nil
cons
6229
def
cons
6109
remove
cons
nil
cons
cons
6230
def
187
ref
subst
proveHyp
6230
ref
136
ref
subst
6230
remove
195
ref
subst
nil
162
ref
6121
ref
nil
cons
cons
164
ref
6132
ref
nil
cons
6231
def
cons
nil
cons
cons
nil
cons
cons
6232
def
178
ref
subst
6232
remove
436
ref
subst
6106
ref
4003
ref
appTerm
betaConv
sym
nil
4584
remove
454
ref
2839
ref
cons
1445
ref
cons
cons
nil
cons
cons
2815
ref
120
ref
4314
ref
4365
remove
2816
ref
appTerm
appTerm
appTerm
4316
remove
3883
ref
2816
ref
appTerm
appTerm
appTerm
absTerm
6233
def
2816
ref
appTerm
6234
def
betaConv
454
ref
59
ref
6233
ref
appTerm
6235
def
absTerm
6236
def
455
ref
appTerm
6237
def
betaConv
60
ref
59
ref
6236
ref
appTerm
6238
def
absTerm
6239
def
63
ref
appTerm
6240
def
betaConv
nil
59
ref
6239
ref
appTerm
6241
def
axiom
nil
117
ref
6241
remove
nil
cons
cons
119
ref
6240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6239
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6238
remove
nil
cons
cons
119
ref
6237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6236
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6235
remove
nil
cons
cons
119
ref
6234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6233
remove
nil
cons
cons
513
ref
2839
remove
cons
nil
cons
6242
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
6121
remove
assume
eqMp
6243
def
nil
162
ref
6105
ref
nil
cons
6244
def
cons
164
ref
3882
remove
455
ref
appTerm
63
ref
appTerm
6245
def
nil
cons
6246
def
cons
nil
cons
cons
nil
cons
cons
6247
def
178
ref
subst
proveHyp
6243
remove
6247
remove
436
ref
subst
proveHyp
306
ref
nil
149
ref
4314
ref
4003
ref
appTerm
6248
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
454
ref
6248
remove
absTerm
6249
def
455
ref
appTerm
6250
def
betaConv
60
ref
59
ref
6249
ref
appTerm
6251
def
absTerm
6252
def
63
ref
appTerm
6253
def
betaConv
nil
59
ref
6252
ref
appTerm
6254
def
axiom
nil
117
ref
6254
remove
nil
cons
cons
119
ref
6253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6252
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6251
remove
nil
cons
cons
119
ref
6250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6249
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
appThm
306
ref
2815
ref
120
ref
4313
ref
4003
remove
appTerm
2816
ref
appTerm
appTerm
6097
remove
6105
ref
appTerm
appTerm
absTerm
6255
def
2816
ref
appTerm
6256
def
betaConv
454
ref
59
ref
6255
ref
appTerm
6257
def
absTerm
6258
def
455
ref
appTerm
6259
def
betaConv
60
ref
59
ref
6258
ref
appTerm
6260
def
absTerm
6261
def
63
ref
appTerm
6262
def
betaConv
nil
59
ref
6261
ref
appTerm
6263
def
axiom
nil
117
ref
6263
remove
nil
cons
cons
119
ref
6262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6261
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6260
remove
nil
cons
cons
119
ref
6259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6258
remove
nil
cons
cons
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6257
remove
nil
cons
cons
119
ref
6256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6255
remove
nil
cons
cons
6242
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
306
ref
6170
remove
appThm
nil
149
ref
6244
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6105
ref
assume
eqMp
appThm
429
ref
trans
trans
appThm
4004
remove
36
ref
appTerm
6264
def
refl
appThm
nil
149
ref
6264
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
6265
def
trans
appThm
6265
remove
trans
sym
446
ref
refl
4569
remove
appThm
1101
ref
appThm
sym
nil
117
ref
6114
remove
cons
119
ref
31
ref
349
ref
6124
remove
appTerm
227
ref
appTerm
6266
def
appTerm
36
ref
appTerm
6267
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
3589
remove
379
ref
7
ref
4806
remove
appTerm
31
ref
349
ref
606
ref
382
ref
appTerm
6268
def
36
ref
appTerm
6269
def
appTerm
36
ref
appTerm
appTerm
382
ref
appTerm
appTerm
6270
def
absTerm
6271
def
382
ref
appTerm
6272
def
betaConv
32
ref
17
ref
6271
ref
appTerm
6273
def
absTerm
6274
def
36
ref
appTerm
6275
def
betaConv
nil
17
ref
379
ref
17
ref
32
ref
6270
ref
absTerm
6276
def
appTerm
6277
def
absTerm
6278
def
appTerm
6279
def
axiom
nil
117
ref
6279
remove
nil
cons
6280
def
cons
6281
def
119
ref
17
ref
6274
ref
appTerm
nil
cons
6282
def
cons
nil
cons
cons
nil
cons
cons
6283
def
187
ref
subst
proveHyp
6283
ref
136
ref
subst
6283
remove
195
ref
subst
nil
211
ref
6274
remove
nil
cons
cons
6284
def
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
6273
remove
nil
cons
6285
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
6271
remove
nil
cons
cons
6286
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
6270
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
6276
ref
36
ref
appTerm
6287
def
betaConv
6278
ref
382
ref
appTerm
6288
def
betaConv
nil
6281
remove
119
ref
6288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
6278
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6277
remove
nil
cons
cons
119
ref
6287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6276
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
6280
remove
cons
164
ref
6282
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
6282
remove
cons
119
ref
6275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
6284
remove
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6285
remove
cons
119
ref
6272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
6286
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
120
ref
"_11819"
0
ref
var
6289
def
446
ref
4562
remove
appTerm
6290
def
6289
remove
varTerm
appTerm
absTerm
6291
def
36
ref
appTerm
6292
def
appTerm
refl
6291
ref
6266
ref
appTerm
betaConv
appThm
166
ref
6292
remove
betaConv
appThm
6290
remove
6266
remove
appTerm
6293
def
refl
appThm
trans
6291
remove
refl
6267
remove
assume
sym
appThm
eqMp
sym
306
ref
nil
149
ref
6231
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6132
ref
assume
eqMp
appThm
2726
ref
refl
nil
149
ref
6246
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6245
ref
assume
eqMp
appThm
nil
149
ref
2446
remove
nil
cons
cons
nil
cons
nil
cons
cons
6294
def
2422
ref
subst
trans
appThm
6294
remove
428
ref
subst
trans
sym
4262
remove
sym
155
ref
eqMp
eqMp
nil
117
ref
43
ref
6132
remove
appTerm
2726
remove
6245
remove
appTerm
appTerm
nil
cons
cons
119
ref
6293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1015
remove
379
ref
6128
remove
cons
4571
remove
cons
cons
nil
cons
cons
4223
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
proveHyp
proveHyp
eqMp
511
ref
512
ref
6106
remove
nil
cons
cons
4176
remove
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6229
remove
cons
164
ref
6108
ref
cons
nil
cons
6295
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6227
remove
cons
6295
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
513
ref
7
ref
6134
ref
2247
ref
appTerm
appTerm
6107
ref
appTerm
absTerm
appTerm
nil
cons
cons
6224
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6134
remove
nil
cons
cons
6295
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
nil
117
ref
43
ref
6131
remove
appTerm
6223
remove
appTerm
nil
cons
cons
119
ref
7
ref
6136
remove
appTerm
6107
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1069
ref
6108
remove
cons
119
ref
6135
remove
nil
cons
cons
6222
remove
nil
cons
cons
cons
nil
cons
cons
nil
117
ref
126
remove
1076
ref
appTerm
nil
cons
6296
def
cons
119
ref
1521
remove
1070
remove
appTerm
nil
cons
6297
def
cons
nil
cons
cons
nil
cons
cons
6298
def
136
ref
subst
6298
remove
195
ref
subst
nil
486
remove
119
ref
2104
ref
cons
nil
cons
6299
def
cons
nil
cons
cons
6300
def
136
ref
subst
6300
remove
195
ref
subst
nil
163
remove
164
ref
1076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6301
def
178
ref
subst
187
ref
proveHyp
180
remove
eqMp
nil
480
remove
6299
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
6301
remove
436
ref
subst
eqMp
eqMp
nil
492
remove
164
ref
2104
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
6296
remove
cons
164
ref
6297
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
6302
def
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6104
remove
cons
6295
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
6303
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
792
ref
164
ref
5999
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
511
ref
4452
remove
513
ref
5996
remove
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
4435
remove
187
ref
subst
proveHyp
4453
ref
eqMp
nil
625
ref
549
ref
cons
nil
cons
cons
187
ref
subst
594
ref
1010
ref
subst
537
ref
5931
remove
appThm
566
ref
trans
trans
sym
155
ref
eqMp
eqMp
proveHyp
eqMp
nil
5934
remove
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
5926
ref
cons
164
ref
5928
ref
cons
nil
cons
6304
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
625
ref
5929
remove
cons
nil
cons
cons
6305
def
136
ref
subst
6305
remove
195
ref
subst
5922
remove
597
ref
appThm
5933
remove
846
ref
subst
trans
sym
5822
ref
1045
ref
1034
ref
7
ref
5942
remove
appTerm
6306
def
5823
ref
5742
ref
5743
ref
453
ref
513
ref
43
ref
5744
remove
2247
ref
appTerm
appTerm
6307
def
43
ref
5943
ref
2247
ref
appTerm
6308
def
5939
ref
appTerm
appTerm
1035
ref
2247
ref
appTerm
6309
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6310
def
5742
ref
5743
ref
453
ref
513
ref
6307
ref
4313
ref
2247
ref
appTerm
63
ref
appTerm
6311
def
appTerm
absTerm
appTerm
absTerm
appTerm
6312
def
appTerm
6313
def
betaConv
622
ref
nil
59
ref
60
ref
664
ref
197
ref
65
ref
62
ref
2429
ref
2430
ref
451
ref
13
ref
2434
ref
729
ref
651
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
nil
117
ref
5950
ref
6310
ref
appTerm
nil
cons
cons
119
ref
6313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
ref
5953
ref
6310
remove
nil
cons
cons
5954
ref
6312
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
1045
ref
1034
ref
7
ref
5823
ref
6312
ref
appTerm
appTerm
6314
def
5823
ref
5742
ref
5743
ref
453
ref
513
ref
6307
ref
43
ref
6308
ref
6312
remove
appTerm
appTerm
6309
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
5932
ref
cons
nil
cons
6315
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
1616
remove
1034
ref
6314
ref
refl
6316
def
5823
ref
refl
6317
def
5957
ref
5743
ref
1216
ref
513
ref
6307
ref
refl
6318
def
306
ref
166
ref
6308
ref
refl
6319
def
5957
ref
5743
ref
1216
ref
513
ref
6318
remove
513
ref
6311
ref
absTerm
6320
def
2247
ref
appTerm
betaConv
6321
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
6321
remove
appThm
nil
1034
ref
6320
remove
nil
cons
cons
nil
cons
nil
cons
cons
622
ref
2670
ref
subst
6322
def
subst
eqMp
appThm
6309
ref
refl
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
absThm
appThm
appThm
5910
remove
refl
appThm
sym
nil
117
ref
1045
ref
1034
ref
6314
remove
5823
ref
5742
ref
5743
ref
453
ref
513
ref
6307
remove
43
ref
6311
remove
appTerm
6309
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
6323
def
appTerm
nil
cons
6324
def
cons
6325
def
6315
ref
cons
nil
cons
cons
6326
def
136
ref
subst
6326
remove
195
ref
subst
nil
625
ref
119
ref
5827
ref
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
60
ref
65
ref
5824
remove
appTerm
absTerm
6327
def
63
ref
appTerm
6328
def
betaConv
nil
59
ref
6327
ref
appTerm
6329
def
axiom
nil
117
ref
6329
remove
nil
cons
cons
119
ref
6328
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6327
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
nil
117
ref
5827
remove
cons
6315
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
6316
remove
6317
ref
5957
ref
5743
ref
1216
ref
454
ref
5745
ref
refl
6330
def
5457
ref
454
ref
457
remove
absTerm
6331
def
455
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
1034
ref
6331
remove
nil
cons
cons
nil
cons
nil
cons
cons
6323
ref
1035
ref
appTerm
6332
def
betaConv
nil
6325
remove
119
ref
6332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
1047
remove
1048
ref
6323
remove
nil
cons
cons
1050
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
162
ref
6324
remove
cons
164
ref
5932
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
589
ref
6304
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
64
ref
appTerm
6333
def
betaConv
1117
ref
nil
1118
ref
119
ref
6333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
2445
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
589
ref
164
ref
5926
remove
cons
1064
ref
5928
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
162
ref
5918
ref
cons
164
ref
5916
ref
cons
nil
cons
6334
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
4927
remove
cons
5920
remove
cons
nil
cons
cons
6335
def
136
ref
subst
6335
remove
195
ref
subst
166
ref
6317
ref
5957
ref
5743
ref
1216
ref
454
ref
6330
ref
5457
remove
456
remove
refl
4910
ref
assume
6336
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
5923
remove
238
ref
6336
remove
appThm
309
ref
appThm
363
remove
trans
appThm
594
remove
3799
ref
subst
trans
appThm
nil
149
ref
5823
ref
5742
ref
5743
ref
453
ref
454
ref
5745
ref
5450
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
846
ref
subst
trans
sym
6317
remove
5957
ref
5743
ref
1216
ref
454
ref
6330
ref
5458
remove
appThm
absThm
appThm
absThm
appThm
appThm
sym
"t"
5740
ref
var
6337
def
43
ref
5823
ref
6337
ref
varTerm
6338
def
appTerm
appTerm
4312
remove
5767
remove
constTerm
5742
ref
5743
ref
453
ref
454
ref
5745
ref
5460
remove
appTerm
absTerm
appTerm
absTerm
appTerm
6339
def
appTerm
6338
ref
appTerm
appTerm
absTerm
6340
def
66
ref
2
ref
49
ref
2
ref
5740
ref
5741
remove
cons
opType
nil
cons
cons
opType
constTerm
6341
def
56
ref
appTerm
55
remove
5740
ref
constTerm
6342
def
appTerm
6343
def
appTerm
betaConv
sym
306
ref
nil
4303
ref
955
ref
cons
nil
cons
nil
cons
cons
622
ref
2299
remove
subst
subst
appThm
nil
6337
ref
6343
ref
nil
cons
6344
def
cons
5822
ref
6339
ref
nil
cons
cons
nil
cons
6345
def
cons
nil
cons
cons
622
ref
4970
ref
subst
subst
298
ref
513
ref
235
ref
6319
remove
5957
ref
5743
ref
1216
ref
454
ref
6330
ref
306
ref
4572
remove
4970
ref
subst
appThm
5459
ref
refl
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
6308
ref
6343
ref
appTerm
6346
def
refl
appThm
absThm
appThm
trans
appThm
nil
149
ref
59
ref
513
ref
7
ref
6308
ref
5742
remove
5743
ref
453
ref
454
ref
5745
remove
43
ref
12
ref
13
ref
7
ref
1144
remove
appTerm
80
ref
appTerm
absTerm
appTerm
appTerm
5459
ref
appTerm
6347
def
appTerm
absTerm
appTerm
absTerm
appTerm
6348
def
appTerm
appTerm
6346
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
512
ref
2815
ref
7
ref
5943
ref
2816
ref
appTerm
6349
def
6348
remove
appTerm
appTerm
6349
ref
6343
remove
appTerm
appTerm
6350
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
2815
ref
nil
149
ref
6350
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
166
ref
6349
ref
refl
6351
def
5957
remove
5743
remove
1216
ref
454
ref
6330
remove
454
ref
6347
remove
absTerm
6352
def
455
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
6352
ref
2816
ref
appTerm
betaConv
appThm
nil
1034
ref
6352
remove
nil
cons
cons
6242
ref
cons
nil
cons
cons
6322
remove
subst
eqMp
appThm
nil
1161
remove
955
remove
cons
6242
ref
cons
nil
cons
cons
622
ref
4977
remove
subst
subst
appThm
sym
nil
117
ref
43
ref
12
ref
13
ref
2887
remove
80
ref
appTerm
absTerm
appTerm
6353
def
appTerm
465
ref
2816
ref
appTerm
56
ref
appTerm
6354
def
appTerm
nil
cons
6355
def
cons
119
ref
6354
remove
nil
cons
6356
def
cons
nil
cons
cons
nil
cons
cons
6357
def
136
ref
subst
6357
remove
195
ref
subst
nil
162
ref
6353
remove
nil
cons
cons
164
ref
6356
remove
cons
nil
cons
6358
def
cons
nil
cons
cons
436
ref
subst
eqMp
nil
162
ref
6355
remove
cons
6358
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
5952
ref
5953
ref
6340
ref
nil
cons
cons
5954
ref
6344
remove
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
450
ref
5949
remove
constTerm
6340
remove
appTerm
nil
cons
cons
119
ref
5823
remove
6339
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
6345
remove
nil
cons
cons
622
ref
4453
remove
subst
subst
eqMp
eqMp
eqMp
eqMp
nil
5924
ref
6334
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
4910
remove
appTerm
6359
def
betaConv
1117
ref
nil
1118
ref
119
ref
6359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
4929
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
5924
remove
164
ref
5918
remove
cons
1064
ref
5916
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
5915
remove
appTerm
thm
4221
remove
nil
4222
remove
thm
298
ref
60
ref
298
ref
454
ref
237
ref
379
ref
237
ref
32
ref
nil
117
ref
4018
remove
1227
remove
4500
ref
appTerm
6360
def
appTerm
6361
def
nil
cons
6362
def
cons
119
ref
120
ref
446
ref
4456
remove
appTerm
6269
ref
appTerm
6363
def
appTerm
6364
def
141
ref
appTerm
6365
def
nil
cons
6366
def
cons
nil
cons
cons
nil
cons
cons
6367
def
136
ref
subst
6367
remove
195
ref
subst
nil
32
ref
6269
ref
nil
cons
6368
def
cons
4538
remove
cons
nil
cons
cons
516
ref
subst
306
ref
nil
4039
remove
164
ref
6360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6369
def
178
ref
subst
6370
def
4043
remove
proveHyp
6371
def
nil
625
ref
119
ref
120
ref
4457
ref
appTerm
141
ref
appTerm
nil
cons
6372
def
cons
nil
cons
cons
nil
cons
cons
6373
def
187
ref
subst
proveHyp
6373
ref
136
ref
subst
6373
remove
195
ref
subst
nil
149
ref
4457
remove
nil
cons
6374
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
625
ref
119
ref
6374
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
4464
remove
eqMp
eqMp
eqMp
nil
589
ref
164
ref
6372
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
appThm
238
ref
306
ref
595
ref
6371
remove
eqMp
appThm
4581
remove
6369
remove
436
ref
subst
6375
def
nil
1235
remove
4509
remove
cons
nil
cons
cons
6376
def
436
ref
subst
proveHyp
eqMp
appThm
429
ref
trans
sym
155
ref
eqMp
4507
remove
187
ref
subst
proveHyp
4624
remove
eqMp
701
ref
6370
remove
4211
remove
proveHyp
appThm
6375
remove
6376
remove
178
ref
subst
proveHyp
1273
remove
proveHyp
appThm
trans
appThm
6269
ref
refl
appThm
nil
212
ref
6368
remove
cons
nil
cons
nil
cons
cons
275
remove
subst
trans
appThm
429
ref
trans
trans
eqMp
nil
162
ref
6362
ref
cons
164
ref
6366
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
6361
ref
appTerm
6377
def
6365
remove
appTerm
nil
cons
cons
119
ref
120
ref
7
ref
2736
ref
458
remove
4500
ref
appTerm
appTerm
6378
def
appTerm
6363
ref
appTerm
6379
def
appTerm
6380
def
6377
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
3370
ref
1448
remove
4500
remove
refl
appThm
appThm
nil
117
ref
120
ref
6378
ref
appTerm
6381
def
6361
remove
appTerm
nil
cons
cons
119
ref
7
ref
6377
ref
6364
remove
1450
ref
appTerm
6382
def
appTerm
appTerm
6380
ref
6377
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
6362
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
6381
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
6382
remove
appTerm
appTerm
6380
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
6383
def
1450
ref
appTerm
6384
def
betaConv
1452
ref
280
ref
6383
ref
appTerm
6385
def
absTerm
6386
def
1453
ref
appTerm
6387
def
betaConv
nil
119
ref
6363
remove
nil
cons
cons
117
ref
6378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
6386
ref
appTerm
nil
cons
cons
119
ref
6387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6386
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6385
remove
nil
cons
cons
119
ref
6384
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6383
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
6362
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
296
ref
trans
absThm
appThm
296
ref
trans
absThm
appThm
1532
ref
trans
absThm
appThm
1532
ref
trans
sym
155
ref
eqMp
nil
59
ref
60
ref
59
ref
454
ref
17
ref
379
ref
17
ref
32
ref
6379
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
512
ref
60
ref
59
ref
454
ref
59
ref
2815
ref
7
ref
4589
remove
appTerm
4593
remove
appTerm
6388
def
absTerm
6389
def
appTerm
6390
def
absTerm
6391
def
appTerm
6392
def
absTerm
6393
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6392
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
6391
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
6390
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
6389
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
2815
ref
nil
149
ref
6388
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
4620
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
6393
remove
appTerm
thm
nil
512
ref
60
ref
8
ref
2
ref
2
ref
646
ref
4
ref
cons
opType
6394
def
4
ref
cons
opType
constTerm
6395
def
"f"
646
ref
var
6396
def
7
ref
498
ref
465
ref
2471
ref
2
ref
646
ref
69
remove
cons
opType
constTerm
6396
ref
varTerm
6397
def
appTerm
63
ref
appTerm
6398
def
appTerm
6399
def
63
ref
appTerm
6400
def
appTerm
6401
def
appTerm
12
ref
13
ref
12
ref
14
ref
7
ref
729
ref
3645
ref
22
ref
6397
ref
23
ref
appTerm
appTerm
6402
def
6397
ref
25
ref
appTerm
6403
def
appTerm
6404
def
appTerm
6405
def
appTerm
6406
def
appTerm
26
ref
appTerm
6407
def
absTerm
6408
def
appTerm
6409
def
absTerm
6410
def
appTerm
6411
def
appTerm
6412
def
absTerm
6413
def
appTerm
6414
def
absTerm
6415
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6414
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
"P"
6394
remove
var
6416
def
6413
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
647
remove
cons
nil
cons
6417
def
96
ref
cons
6418
def
370
ref
subst
subst
6396
ref
nil
149
ref
6412
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6401
remove
nil
cons
6419
def
cons
119
ref
6411
ref
nil
cons
6420
def
cons
nil
cons
cons
nil
cons
cons
6421
def
136
ref
subst
6421
remove
195
ref
subst
nil
589
ref
164
ref
6400
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6422
def
178
ref
subst
6422
remove
436
ref
subst
nil
188
ref
6410
ref
nil
cons
cons
6423
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
6409
remove
nil
cons
6424
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
6408
ref
nil
cons
cons
6425
def
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
6407
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6406
remove
nil
cons
6426
def
cons
119
ref
26
ref
nil
cons
6427
def
cons
nil
cons
6428
def
cons
nil
cons
cons
6429
def
136
ref
subst
6429
ref
195
ref
subst
nil
792
ref
164
ref
6405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6430
def
178
ref
subst
6430
remove
436
ref
subst
nil
3825
ref
164
ref
6404
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6431
def
178
ref
subst
6431
remove
436
ref
subst
6396
ref
7
ref
498
ref
43
ref
3857
ref
appTerm
6432
def
6400
ref
appTerm
appTerm
appTerm
6411
ref
appTerm
6433
def
absTerm
6434
def
6397
ref
appTerm
6435
def
betaConv
454
ref
6395
ref
6396
ref
7
ref
498
ref
43
ref
5354
remove
appTerm
6399
remove
455
ref
appTerm
appTerm
appTerm
appTerm
6411
ref
appTerm
absTerm
appTerm
absTerm
6436
def
63
ref
appTerm
6437
def
betaConv
60
ref
59
ref
6436
ref
appTerm
6438
def
absTerm
6439
def
63
ref
appTerm
6440
def
betaConv
94
ref
6003
ref
cons
96
ref
cons
6441
def
nil
512
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
7
ref
498
ref
43
ref
499
ref
2695
ref
appTerm
6442
def
appTerm
6443
def
2486
ref
2474
ref
appTerm
6444
def
2349
ref
appTerm
6445
def
appTerm
appTerm
6446
def
appTerm
3653
ref
appTerm
6447
def
absTerm
6448
def
appTerm
6449
def
absTerm
6450
def
appTerm
6451
def
absTerm
6452
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6451
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
6450
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
6449
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
6448
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
6447
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6446
ref
nil
cons
6453
def
cons
3709
ref
nil
cons
6454
def
cons
nil
cons
cons
6455
def
136
ref
subst
6455
remove
195
ref
subst
nil
117
ref
498
ref
43
ref
2350
ref
appTerm
6456
def
6443
ref
5088
ref
2474
ref
appTerm
6457
def
2349
ref
appTerm
6458
def
appTerm
6459
def
appTerm
6460
def
appTerm
6461
def
nil
cons
6462
def
cons
6463
def
119
ref
120
ref
104
ref
2941
ref
7
ref
2948
ref
appTerm
6464
def
451
ref
13
ref
729
ref
2342
ref
2942
ref
appTerm
6465
def
appTerm
6466
def
absTerm
6467
def
appTerm
6468
def
appTerm
6469
def
absTerm
6470
def
appTerm
6471
def
appTerm
6472
def
3653
ref
appTerm
6473
def
nil
cons
6474
def
cons
6475
def
nil
cons
cons
nil
cons
cons
6476
def
136
ref
subst
6476
ref
195
ref
subst
nil
589
ref
164
ref
6460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6477
def
178
ref
subst
6477
remove
436
ref
subst
nil
162
ref
2720
ref
cons
6478
def
164
ref
6459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6479
def
178
ref
subst
6479
remove
436
ref
subst
nil
162
ref
6442
ref
nil
cons
6480
def
cons
6481
def
164
ref
6458
ref
nil
cons
6482
def
cons
nil
cons
cons
nil
cons
cons
6483
def
178
ref
subst
6483
remove
436
ref
subst
nil
117
ref
6471
ref
nil
cons
6484
def
cons
6485
def
6454
ref
cons
nil
cons
cons
6486
def
495
ref
subst
6486
ref
136
ref
subst
6486
remove
195
ref
subst
3817
ref
13
ref
nil
149
ref
3651
remove
nil
cons
6487
def
cons
nil
cons
nil
cons
cons
156
ref
subst
6488
def
nil
188
ref
3650
ref
nil
cons
cons
6489
def
nil
cons
nil
cons
cons
370
ref
subst
6490
def
14
ref
nil
149
ref
3649
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
6491
def
nil
117
ref
3648
remove
nil
cons
6492
def
cons
6428
ref
cons
nil
cons
cons
6493
def
136
ref
subst
6494
def
6493
ref
195
ref
subst
6495
def
nil
792
ref
164
ref
3647
remove
nil
cons
6496
def
cons
nil
cons
cons
nil
cons
cons
6497
def
178
ref
subst
6498
def
6497
remove
436
ref
subst
6499
def
nil
3825
ref
164
ref
3646
ref
nil
cons
6500
def
cons
nil
cons
6501
def
cons
nil
cons
cons
6502
def
178
ref
subst
6503
def
6502
remove
436
ref
subst
6504
def
nil
149
ref
6427
ref
cons
nil
cons
nil
cons
cons
6505
def
149
ref
153
remove
1598
remove
appTerm
6506
def
absTerm
6507
def
152
ref
appTerm
6508
def
betaConv
306
ref
2126
ref
149
ref
6506
remove
assume
sym
1599
remove
assume
sym
deductAntisym
absThm
appThm
appThm
306
ref
558
ref
742
ref
appTerm
6509
def
assume
sym
743
ref
assume
sym
deductAntisym
appThm
959
ref
564
remove
appTerm
6510
def
assume
sym
565
ref
assume
sym
deductAntisym
appThm
appThm
1603
remove
nil
1604
remove
119
ref
43
ref
743
ref
appTerm
565
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
744
ref
nil
117
ref
743
remove
nil
cons
cons
119
ref
565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
566
ref
eqMp
eqMp
eqMp
nil
162
ref
280
ref
6507
ref
appTerm
nil
cons
6511
def
cons
164
ref
43
ref
6509
remove
appTerm
6510
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
proveHyp
nil
117
ref
6511
remove
cons
119
ref
6508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6507
remove
nil
cons
cons
286
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
sym
nil
162
ref
276
ref
cons
6512
def
nil
cons
nil
cons
cons
1001
ref
subst
nil
117
ref
276
remove
cons
6513
def
549
ref
cons
nil
cons
cons
6514
def
136
ref
subst
6514
remove
195
ref
subst
2483
ref
6442
ref
assume
6515
def
appThm
6516
def
2470
ref
2473
ref
726
ref
appTerm
6517
def
appTerm
6518
def
refl
appThm
sym
43
ref
5088
ref
2349
ref
appTerm
6517
ref
appTerm
6519
def
appTerm
6520
def
refl
nil
266
ref
nil
cons
cons
6521
def
581
remove
subst
597
ref
trans
6522
def
sym
155
ref
eqMp
6523
def
nil
117
ref
62
ref
726
ref
appTerm
6524
def
nil
cons
cons
6525
def
119
ref
120
ref
2316
ref
6517
ref
appTerm
6526
def
appTerm
141
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
60
ref
726
ref
nil
cons
6527
def
cons
6528
def
nil
cons
6529
def
nil
cons
cons
6530
def
nil
625
ref
119
ref
120
ref
2531
remove
appTerm
6531
def
141
ref
appTerm
nil
cons
6532
def
cons
nil
cons
cons
nil
cons
cons
6533
def
136
ref
subst
6533
ref
195
ref
subst
nil
149
ref
2532
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
2540
remove
eqMp
eqMp
nil
589
ref
164
ref
6532
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
6534
def
subst
eqMp
appThm
nil
149
ref
6519
remove
nil
cons
cons
nil
cons
nil
cons
cons
2422
ref
subst
trans
sym
nil
2347
ref
6517
ref
nil
cons
6535
def
cons
6536
def
3298
ref
cons
nil
cons
cons
2394
ref
4970
remove
subst
6537
def
subst
2406
ref
2400
ref
7
ref
3597
ref
2349
ref
appTerm
6538
def
appTerm
6539
def
refl
nil
6528
ref
2941
ref
3602
ref
cons
nil
cons
6540
def
cons
nil
cons
cons
3768
ref
subst
1198
ref
13
ref
43
ref
3603
ref
248
ref
appTerm
appTerm
6541
def
refl
740
ref
appThm
absThm
appThm
trans
appThm
absThm
appThm
trans
sym
nil
2391
ref
3606
ref
7
ref
3608
remove
2349
ref
appTerm
6542
def
appTerm
6543
def
451
ref
13
ref
43
ref
3610
remove
248
ref
appTerm
appTerm
730
ref
appTerm
absTerm
appTerm
6544
def
appTerm
6545
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
3606
remove
nil
149
ref
6545
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6542
ref
nil
cons
6546
def
cons
119
ref
6544
ref
nil
cons
6547
def
cons
nil
cons
6548
def
cons
nil
cons
cons
6549
def
136
ref
subst
6549
remove
195
ref
subst
6470
ref
3607
ref
appTerm
6550
def
betaConv
nil
6485
ref
119
ref
6550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
6470
ref
nil
cons
cons
6551
def
2400
ref
3607
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6543
remove
451
ref
13
ref
729
ref
2342
ref
3607
ref
appTerm
appTerm
absTerm
6552
def
appTerm
6553
def
appTerm
nil
cons
cons
6548
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
nil
149
ref
6546
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
6542
remove
assume
eqMp
appThm
6553
ref
refl
appThm
nil
149
ref
6553
ref
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
6544
ref
refl
appThm
sym
nil
188
ref
4629
ref
7
ref
6552
ref
4630
ref
appTerm
6554
def
appTerm
6544
ref
appTerm
6555
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
4629
ref
nil
149
ref
6555
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6554
ref
nil
cons
6556
def
cons
6548
ref
cons
nil
cons
cons
6557
def
136
ref
subst
6557
remove
195
ref
subst
6554
ref
betaConv
6554
remove
assume
eqMp
nil
117
ref
43
ref
78
ref
4630
ref
appTerm
6558
def
63
ref
appTerm
6559
def
appTerm
6560
def
108
ref
247
ref
4630
ref
appTerm
6561
def
appTerm
6562
def
3607
ref
appTerm
6563
def
appTerm
nil
cons
6564
def
cons
6548
remove
cons
nil
cons
cons
6565
def
187
ref
subst
proveHyp
6565
ref
136
ref
subst
6565
remove
195
ref
subst
nil
162
ref
6559
ref
nil
cons
6566
def
cons
6567
def
164
ref
6563
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6568
def
178
ref
subst
6568
remove
436
ref
subst
120
ref
"_12862"
97
ref
var
6569
def
451
ref
13
ref
43
ref
108
ref
6569
remove
varTerm
appTerm
248
ref
appTerm
appTerm
730
ref
appTerm
absTerm
appTerm
absTerm
6570
def
3607
remove
appTerm
6571
def
appTerm
refl
6570
ref
6561
ref
appTerm
betaConv
appThm
166
ref
6571
remove
betaConv
appThm
451
ref
13
ref
43
ref
6562
ref
248
ref
appTerm
appTerm
6572
def
730
ref
appTerm
absTerm
6573
def
appTerm
6574
def
refl
appThm
trans
6570
remove
refl
6563
remove
assume
sym
appThm
eqMp
sym
nil
117
ref
19
ref
22
ref
4630
ref
appTerm
6575
def
25
ref
appTerm
6576
def
appTerm
6577
def
nil
cons
6578
def
cons
6579
def
119
ref
6574
remove
nil
cons
6580
def
cons
nil
cons
6581
def
cons
nil
cons
cons
6582
def
136
ref
subst
6582
remove
195
ref
subst
6573
ref
4630
ref
appTerm
betaConv
sym
306
ref
nil
2400
ref
6561
ref
nil
cons
6583
def
cons
nil
cons
6584
def
nil
cons
cons
3802
ref
subst
appThm
6585
def
306
ref
nil
149
ref
6566
ref
cons
nil
cons
nil
cons
cons
6586
def
156
ref
subst
6559
ref
assume
eqMp
6587
def
appThm
537
ref
nil
6579
ref
119
ref
120
ref
6576
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
6576
ref
nil
cons
6588
def
cons
6589
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
6573
ref
nil
cons
cons
6590
def
4674
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
6591
def
eqMp
nil
162
ref
6578
ref
cons
6592
def
164
ref
6580
ref
cons
nil
cons
6593
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6588
ref
cons
6594
def
6581
remove
cons
nil
cons
cons
6595
def
136
ref
subst
6595
remove
195
ref
subst
6573
remove
23
ref
appTerm
betaConv
sym
306
ref
3189
ref
247
ref
refl
6576
ref
assume
6596
def
appThm
appThm
3646
ref
assume
6597
def
appThm
3836
ref
trans
appThm
741
ref
537
ref
nil
6513
ref
119
ref
3179
remove
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
6598
def
nil
162
ref
6427
ref
cons
nil
cons
nil
cons
cons
562
ref
subst
6599
def
eqMp
appThm
566
ref
trans
appThm
429
ref
trans
6600
def
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
6590
remove
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
nil
6589
ref
6593
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
6576
remove
appTerm
6601
def
betaConv
1117
ref
nil
1118
ref
119
ref
6601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
284
ref
6588
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6602
def
nil
6589
ref
164
ref
6578
remove
cons
6603
def
1064
ref
6580
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
6564
remove
cons
164
ref
6547
remove
cons
nil
cons
6604
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6556
remove
cons
6604
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
6552
ref
23
ref
appTerm
appTerm
6544
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
6553
remove
appTerm
6544
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
6552
remove
nil
cons
cons
6604
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6546
remove
cons
6604
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
6520
remove
6526
remove
appTerm
nil
cons
cons
119
ref
2469
ref
2695
ref
appTerm
6518
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
5120
ref
6535
ref
cons
5121
ref
2403
ref
cons
nil
cons
cons
nil
cons
cons
5123
remove
subst
eqMp
eqMp
nil
117
ref
4773
ref
6518
ref
appTerm
nil
cons
6605
def
cons
549
ref
cons
nil
cons
cons
187
ref
subst
nil
149
ref
6605
remove
cons
nil
cons
nil
cons
cons
1010
ref
subst
nil
32
ref
6518
ref
nil
cons
6606
def
cons
3535
ref
cons
nil
cons
cons
4835
ref
subst
trans
sym
32
ref
43
ref
2469
ref
6518
ref
appTerm
6607
def
36
ref
appTerm
appTerm
2671
ref
227
ref
appTerm
6608
def
appTerm
absTerm
6609
def
221
ref
726
ref
appTerm
6610
def
appTerm
betaConv
sym
306
ref
6523
remove
nil
6525
remove
119
ref
120
ref
6607
remove
6610
ref
appTerm
6611
def
appTerm
141
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
6530
remove
nil
625
ref
119
ref
120
ref
2477
remove
appTerm
141
ref
appTerm
nil
cons
6612
def
cons
nil
cons
cons
nil
cons
cons
6613
def
136
ref
subst
6613
remove
195
ref
subst
2592
remove
nil
625
ref
119
ref
2515
ref
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
5126
remove
eqMp
eqMp
eqMp
nil
589
ref
164
ref
6612
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
subst
eqMp
appThm
2568
ref
6610
ref
appTerm
6614
def
refl
6515
ref
appThm
appThm
nil
149
ref
6614
ref
2695
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
5904
ref
nil
625
ref
119
ref
31
ref
6610
ref
appTerm
75
ref
3644
ref
appTerm
6615
def
608
ref
appTerm
227
ref
appTerm
6616
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
6521
ref
809
remove
subst
eqMp
nil
117
ref
742
remove
nil
cons
6617
def
cons
119
ref
6480
ref
cons
nil
cons
6618
def
cons
nil
cons
cons
6619
def
136
ref
subst
6619
remove
195
ref
subst
6515
ref
eqMp
nil
162
ref
6617
remove
cons
164
ref
6480
ref
cons
nil
cons
6620
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1391
ref
6442
ref
appTerm
nil
cons
cons
119
ref
31
ref
6616
remove
appTerm
6621
def
75
ref
141
ref
appTerm
6622
def
606
remove
2695
ref
appTerm
6623
def
431
remove
appTerm
6624
def
appTerm
6625
def
2695
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1280
ref
4259
ref
cons
nil
cons
nil
cons
cons
nil
117
ref
288
ref
cons
6626
def
119
ref
31
ref
608
remove
appTerm
6627
def
6624
ref
appTerm
6628
def
nil
cons
6629
def
cons
nil
cons
cons
nil
cons
cons
6630
def
136
ref
subst
6630
remove
195
ref
subst
701
remove
6515
ref
appThm
704
remove
appThm
eqMp
nil
162
ref
288
ref
cons
6631
def
164
ref
6629
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
301
ref
6628
remove
appTerm
nil
cons
cons
119
ref
7
ref
1391
ref
499
ref
1282
ref
appTerm
6632
def
appTerm
appTerm
6633
def
6621
ref
6625
remove
1282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1285
ref
6624
ref
nil
cons
6634
def
cons
nil
cons
nil
cons
cons
3831
ref
nil
117
ref
120
ref
3644
ref
appTerm
6635
def
141
ref
appTerm
nil
cons
cons
119
ref
7
ref
301
ref
6627
remove
1290
ref
appTerm
6636
def
appTerm
appTerm
6633
remove
6621
ref
6622
remove
1290
ref
appTerm
1282
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1294
ref
288
ref
cons
nil
cons
nil
cons
cons
1280
ref
7
ref
6635
ref
1296
ref
appTerm
appTerm
6637
def
7
ref
1297
ref
6636
remove
appTerm
appTerm
7
ref
1299
ref
6632
remove
appTerm
appTerm
6621
remove
1301
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6638
def
1282
ref
appTerm
6639
def
betaConv
1285
ref
17
ref
6638
ref
appTerm
6640
def
absTerm
6641
def
1290
ref
appTerm
6642
def
betaConv
1294
ref
17
ref
6641
ref
appTerm
6643
def
absTerm
6644
def
1296
ref
appTerm
6645
def
betaConv
nil
1310
ref
636
ref
cons
1313
ref
638
remove
cons
1316
ref
3824
ref
cons
nil
cons
6646
def
cons
cons
nil
cons
cons
1438
ref
subst
nil
117
ref
280
ref
6644
ref
appTerm
nil
cons
cons
119
ref
6645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6644
remove
nil
cons
cons
1409
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6643
remove
nil
cons
cons
119
ref
6642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6641
remove
nil
cons
cons
1439
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6640
remove
nil
cons
cons
119
ref
6639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6638
remove
nil
cons
cons
1440
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
nil
748
ref
4259
ref
cons
749
ref
6634
ref
cons
nil
cons
cons
nil
cons
cons
828
remove
subst
trans
trans
appThm
5413
ref
appThm
sym
nil
4264
ref
379
ref
6634
remove
cons
nil
cons
cons
nil
cons
cons
2581
ref
subst
sym
238
ref
313
remove
6623
ref
refl
421
remove
appThm
appThm
appThm
5413
ref
appThm
sym
31
ref
35
ref
6623
ref
340
remove
appTerm
appTerm
appTerm
6647
def
refl
nil
379
ref
4259
ref
cons
6648
def
nil
cons
6649
def
nil
cons
cons
6650
def
379
ref
884
ref
6268
ref
84
ref
appTerm
6651
def
appTerm
6652
def
absTerm
6653
def
382
ref
appTerm
6654
def
betaConv
237
ref
379
ref
6652
remove
assume
sym
31
ref
6651
remove
appTerm
382
ref
appTerm
6655
def
assume
sym
deductAntisym
absThm
appThm
nil
17
ref
379
ref
6655
remove
absTerm
appTerm
axiom
eqMp
nil
117
ref
17
ref
6653
ref
appTerm
nil
cons
cons
119
ref
6654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6653
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
appThm
sym
nil
6648
remove
330
remove
cons
nil
cons
cons
32
ref
120
ref
4826
ref
appTerm
4825
remove
appTerm
6656
def
absTerm
6657
def
36
ref
appTerm
6658
def
betaConv
379
ref
17
ref
6657
ref
appTerm
6659
def
absTerm
6660
def
382
ref
appTerm
6661
def
betaConv
237
ref
379
ref
237
ref
32
ref
6656
remove
assume
sym
4827
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
4834
remove
eqMp
nil
117
ref
17
ref
6660
ref
appTerm
nil
cons
cons
119
ref
6661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6660
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6659
remove
nil
cons
cons
119
ref
6658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6657
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
537
ref
6650
remove
4926
ref
subst
appThm
trans
sym
537
ref
238
ref
6515
ref
sym
6662
def
appThm
309
remove
appThm
appThm
sym
537
ref
nil
625
ref
119
ref
993
ref
cons
6663
def
nil
cons
cons
nil
cons
cons
187
ref
subst
1053
ref
eqMp
appThm
sym
841
remove
854
ref
sym
693
remove
eqMp
264
ref
1085
ref
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
117
ref
6060
remove
2695
ref
appTerm
nil
cons
cons
119
ref
6647
remove
6623
remove
84
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
329
remove
6649
remove
cons
nil
cons
cons
32
ref
7
ref
4826
remove
appTerm
31
ref
35
ref
6268
remove
37
ref
appTerm
appTerm
appTerm
6269
remove
appTerm
appTerm
absTerm
6664
def
36
ref
appTerm
6665
def
betaConv
379
ref
17
ref
6664
ref
appTerm
6666
def
absTerm
6667
def
382
ref
appTerm
6668
def
betaConv
nil
17
ref
6667
ref
appTerm
6669
def
axiom
nil
117
ref
6669
remove
nil
cons
cons
119
ref
6668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6667
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6666
remove
nil
cons
cons
119
ref
6665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6664
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
117
ref
31
ref
35
ref
6624
remove
appTerm
6670
def
appTerm
2695
ref
appTerm
nil
cons
cons
119
ref
2469
ref
6670
ref
appTerm
2695
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4264
ref
379
ref
6670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
32
ref
7
ref
3536
ref
appTerm
6671
def
2584
remove
appTerm
absTerm
6672
def
36
ref
appTerm
6673
def
betaConv
379
ref
17
ref
6672
ref
appTerm
6674
def
absTerm
6675
def
382
ref
appTerm
6676
def
betaConv
nil
17
ref
6675
ref
appTerm
6677
def
axiom
nil
117
ref
6677
remove
nil
cons
cons
119
ref
6676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6675
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6674
remove
nil
cons
cons
119
ref
6673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6672
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
eqMp
210
ref
211
ref
6609
ref
nil
cons
cons
212
ref
6610
ref
nil
cons
cons
nil
cons
6678
def
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
ref
6609
remove
appTerm
nil
cons
cons
119
ref
2568
ref
6518
remove
appTerm
227
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
6213
ref
379
ref
6606
remove
cons
nil
cons
cons
nil
cons
cons
4781
ref
7
ref
886
ref
32
ref
4330
remove
2671
ref
4786
ref
appTerm
6679
def
appTerm
6680
def
absTerm
6681
def
appTerm
6682
def
appTerm
6683
def
2569
ref
4786
ref
appTerm
6684
def
appTerm
6685
def
absTerm
6686
def
4786
ref
appTerm
6687
def
betaConv
379
ref
17
ref
6686
ref
appTerm
6688
def
absTerm
6689
def
382
ref
appTerm
6690
def
betaConv
nil
17
ref
379
ref
17
ref
32
ref
17
ref
4781
ref
7
ref
6680
ref
appTerm
6684
ref
appTerm
absTerm
6691
def
appTerm
6692
def
absTerm
6693
def
appTerm
6694
def
absTerm
6695
def
appTerm
6696
def
axiom
nil
117
ref
6696
ref
nil
cons
6697
def
cons
6698
def
119
ref
17
ref
6689
ref
appTerm
nil
cons
6699
def
cons
nil
cons
cons
nil
cons
cons
6700
def
187
ref
subst
proveHyp
6700
ref
136
ref
subst
6700
remove
195
ref
subst
nil
211
ref
6689
remove
nil
cons
cons
6701
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
6688
remove
nil
cons
6702
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
6686
remove
nil
cons
cons
6703
def
nil
cons
nil
cons
cons
371
ref
subst
4781
ref
nil
149
ref
6685
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6682
remove
nil
cons
6704
def
cons
6705
def
119
ref
6684
ref
nil
cons
6706
def
cons
nil
cons
6707
def
cons
nil
cons
cons
6708
def
136
ref
subst
6708
remove
195
ref
subst
nil
6698
ref
6707
ref
cons
nil
cons
cons
6709
def
187
ref
subst
nil
6705
remove
119
ref
7
ref
6696
remove
appTerm
6684
ref
appTerm
6710
def
nil
cons
6711
def
cons
nil
cons
6712
def
cons
nil
cons
cons
187
ref
subst
nil
211
ref
32
ref
7
ref
6681
ref
36
ref
appTerm
6713
def
appTerm
6710
ref
appTerm
6714
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
6714
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6713
ref
nil
cons
6715
def
cons
6712
ref
cons
nil
cons
cons
6716
def
136
ref
subst
6716
remove
195
ref
subst
6713
ref
betaConv
6713
remove
assume
eqMp
nil
117
ref
6680
remove
nil
cons
6717
def
cons
6718
def
6712
remove
cons
nil
cons
cons
6719
def
187
ref
subst
proveHyp
6719
ref
136
ref
subst
6719
remove
195
ref
subst
6709
ref
136
ref
subst
6709
remove
195
ref
subst
nil
6718
remove
6707
ref
cons
nil
cons
cons
187
ref
subst
6691
ref
4786
ref
appTerm
6720
def
betaConv
6693
ref
36
ref
appTerm
6721
def
betaConv
6695
ref
382
ref
appTerm
6722
def
betaConv
nil
6698
remove
119
ref
6722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
6695
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6694
remove
nil
cons
cons
119
ref
6721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6693
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6692
remove
nil
cons
cons
119
ref
6720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6691
remove
nil
cons
cons
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6697
remove
cons
6723
def
164
ref
6706
remove
cons
nil
cons
6724
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
6717
remove
cons
164
ref
6711
remove
cons
nil
cons
6725
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6715
remove
cons
6725
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
6681
ref
911
ref
appTerm
appTerm
6710
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
6683
remove
6710
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
6681
remove
nil
cons
cons
6725
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6704
remove
cons
6724
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6723
remove
164
ref
6699
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
6699
remove
cons
119
ref
6690
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
6701
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6702
remove
cons
119
ref
6687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
6703
remove
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
6726
def
subst
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
6512
ref
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6492
remove
cons
164
ref
6427
ref
cons
nil
cons
6727
def
cons
nil
cons
cons
178
ref
subst
6728
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
6484
ref
cons
6729
def
164
ref
3682
ref
cons
nil
cons
6730
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
6471
ref
appTerm
3653
ref
appTerm
nil
cons
cons
119
ref
3715
ref
6471
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
3691
ref
119
ref
6484
ref
cons
nil
cons
cons
nil
cons
cons
6731
def
136
ref
subst
6731
remove
195
ref
subst
nil
6551
ref
nil
cons
nil
cons
cons
2395
ref
subst
2941
ref
nil
149
ref
6469
ref
nil
cons
6732
def
cons
nil
cons
nil
cons
cons
156
ref
subst
4267
ref
306
ref
nil
149
ref
6482
ref
cons
nil
cons
nil
cons
cons
6733
def
156
ref
subst
6734
def
6458
ref
assume
eqMp
6735
def
appThm
3671
ref
2695
ref
appTerm
6736
def
refl
appThm
nil
149
ref
6736
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
6737
def
trans
appThm
6737
remove
trans
sym
3671
remove
refl
6662
ref
appThm
sym
3846
ref
eqMp
eqMp
nil
117
ref
6456
ref
43
ref
6458
remove
appTerm
6738
def
6736
remove
appTerm
appTerm
nil
cons
cons
119
ref
6445
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
5120
remove
2403
remove
cons
5121
remove
2546
ref
cons
nil
cons
cons
nil
cons
cons
2394
ref
5375
remove
subst
subst
eqMp
120
ref
"_12884"
2314
ref
var
6739
def
7
ref
2947
ref
6739
remove
varTerm
appTerm
appTerm
6468
ref
appTerm
absTerm
6740
def
2349
ref
appTerm
6741
def
appTerm
refl
6740
ref
2474
ref
appTerm
betaConv
appThm
166
ref
6741
remove
betaConv
appThm
7
ref
3751
ref
appTerm
6742
def
6468
ref
appTerm
6743
def
refl
appThm
trans
6740
remove
refl
6445
remove
assume
sym
6744
def
appThm
eqMp
sym
235
ref
3768
ref
appThm
6468
ref
refl
6745
def
appThm
6746
def
sym
nil
188
ref
13
ref
7
ref
3757
ref
23
ref
appTerm
6747
def
appTerm
6748
def
6468
ref
appTerm
6749
def
absTerm
6750
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
6749
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6747
ref
nil
cons
6751
def
cons
6752
def
119
ref
6468
ref
nil
cons
6753
def
cons
6754
def
nil
cons
6755
def
cons
nil
cons
cons
6756
def
136
ref
subst
6756
remove
195
ref
subst
6747
ref
betaConv
6747
remove
assume
eqMp
6757
def
nil
117
ref
3756
remove
nil
cons
6758
def
cons
6759
def
6755
ref
cons
nil
cons
cons
6760
def
187
ref
subst
proveHyp
6760
ref
136
ref
subst
6760
remove
195
ref
subst
nil
162
ref
3754
ref
nil
cons
cons
6761
def
5047
remove
cons
nil
cons
cons
6762
def
178
ref
subst
6763
def
6762
remove
436
ref
subst
6764
def
6467
ref
23
ref
appTerm
6765
def
betaConv
6766
def
sym
741
ref
2342
ref
refl
3754
remove
assume
6767
def
appThm
2417
ref
3802
ref
subst
6768
def
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
6467
ref
nil
cons
cons
6769
def
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6758
remove
cons
6770
def
164
ref
6753
ref
cons
nil
cons
6771
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6751
remove
cons
6772
def
6771
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
6750
remove
appTerm
nil
cons
cons
119
ref
7
ref
3758
ref
appTerm
6773
def
6468
ref
appTerm
6774
def
nil
cons
6775
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
3757
ref
nil
cons
cons
6776
def
6771
remove
cons
nil
cons
cons
947
ref
subst
eqMp
6777
def
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
eqMp
nil
3683
ref
164
ref
6484
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6462
remove
cons
164
ref
6474
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
6778
def
nil
117
ref
7
ref
6461
ref
appTerm
6473
ref
appTerm
6779
def
nil
cons
6780
def
cons
6781
def
6454
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
117
ref
120
ref
104
ref
2941
ref
6743
ref
absTerm
appTerm
appTerm
3653
ref
appTerm
6782
def
nil
cons
6783
def
cons
6784
def
119
ref
120
ref
3653
ref
appTerm
6785
def
3653
ref
appTerm
6786
def
nil
cons
6787
def
cons
nil
cons
cons
nil
cons
cons
6788
def
136
ref
subst
6788
remove
195
ref
subst
236
ref
3816
remove
refl
appThm
6789
def
eqMp
nil
162
ref
6783
ref
cons
6790
def
164
ref
6787
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
6782
ref
appTerm
6791
def
6786
remove
appTerm
nil
cons
cons
119
ref
120
ref
7
ref
6779
ref
appTerm
3653
ref
appTerm
appTerm
6792
def
6791
ref
3653
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
3682
ref
cons
nil
cons
nil
cons
cons
nil
6626
remove
119
ref
120
ref
6473
remove
appTerm
6793
def
6782
ref
appTerm
6794
def
nil
cons
6795
def
cons
nil
cons
cons
nil
cons
cons
6796
def
136
ref
subst
6796
remove
195
ref
subst
166
ref
2406
ref
2941
ref
nil
117
ref
3751
ref
nil
cons
6797
def
cons
6798
def
119
ref
120
ref
6468
ref
appTerm
6799
def
6468
ref
appTerm
6800
def
nil
cons
6801
def
cons
nil
cons
cons
nil
cons
cons
6802
def
136
ref
subst
6802
remove
195
ref
subst
6745
remove
eqMp
nil
162
ref
6797
ref
cons
164
ref
6801
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6742
ref
6800
remove
appTerm
nil
cons
cons
119
ref
120
ref
6469
remove
appTerm
6803
def
6743
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
6753
remove
cons
nil
cons
nil
cons
cons
4243
ref
2443
remove
306
ref
31
ref
2695
ref
appTerm
6804
def
227
ref
appTerm
6805
def
assume
sym
6806
def
6662
remove
deductAntisym
appThm
2486
ref
2349
ref
appTerm
6807
def
2474
ref
appTerm
6808
def
assume
6809
def
sym
6744
remove
deductAntisym
appThm
appThm
6446
remove
assume
eqMp
6810
def
nil
589
ref
164
ref
43
ref
6805
ref
appTerm
6808
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
6811
def
436
ref
subst
proveHyp
6812
def
nil
162
ref
6805
ref
nil
cons
6813
def
cons
164
ref
6808
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6814
def
436
ref
subst
proveHyp
6815
def
appThm
nil
117
ref
120
ref
2948
ref
appTerm
6816
def
3751
ref
appTerm
nil
cons
cons
119
ref
7
ref
6742
ref
6799
remove
1450
ref
appTerm
6817
def
appTerm
appTerm
6803
ref
6742
ref
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
6797
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
6816
ref
1453
ref
appTerm
appTerm
7
ref
1454
ref
6817
remove
appTerm
appTerm
6803
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
6818
def
1450
ref
appTerm
6819
def
betaConv
1452
ref
280
ref
6818
ref
appTerm
6820
def
absTerm
6821
def
1453
ref
appTerm
6822
def
betaConv
nil
6754
remove
117
ref
2948
ref
nil
cons
6823
def
cons
6824
def
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
6821
ref
appTerm
nil
cons
cons
119
ref
6822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6821
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6820
remove
nil
cons
cons
119
ref
6819
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6818
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
absThm
appThm
appThm
6789
ref
appThm
eqMp
nil
6631
remove
164
ref
6795
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
301
ref
6794
remove
appTerm
nil
cons
cons
119
ref
120
ref
6779
ref
appTerm
6825
def
301
ref
6782
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
6783
ref
cons
nil
cons
nil
cons
cons
306
ref
595
ref
6810
remove
6811
remove
178
ref
subst
proveHyp
6826
def
eqMp
appThm
306
ref
5412
remove
6815
ref
appThm
6826
remove
6533
remove
187
ref
subst
proveHyp
6534
ref
eqMp
trans
appThm
306
ref
499
ref
refl
6812
remove
6814
remove
178
ref
subst
proveHyp
appThm
2444
ref
trans
appThm
6457
remove
refl
6815
remove
appThm
3667
ref
2394
ref
nil
149
ref
4314
ref
63
ref
appTerm
6827
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
60
ref
6827
remove
absTerm
6828
def
63
ref
appTerm
6829
def
betaConv
nil
59
ref
6828
ref
appTerm
6830
def
axiom
nil
117
ref
6830
remove
nil
cons
cons
119
ref
6829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6828
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
6831
def
subst
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
nil
117
ref
120
ref
6461
remove
appTerm
6832
def
141
ref
appTerm
nil
cons
cons
119
ref
7
ref
301
ref
6793
remove
1450
ref
appTerm
6833
def
appTerm
appTerm
6825
ref
301
ref
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
288
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
6832
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
6833
remove
appTerm
appTerm
6825
ref
1455
ref
appTerm
appTerm
appTerm
absTerm
6834
def
1450
ref
appTerm
6835
def
betaConv
1452
ref
280
ref
6834
ref
appTerm
6836
def
absTerm
6837
def
1453
ref
appTerm
6838
def
betaConv
nil
6475
remove
6463
remove
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
6837
ref
appTerm
nil
cons
cons
119
ref
6838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6837
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6836
remove
nil
cons
cons
119
ref
6835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6834
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
6783
ref
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
nil
117
ref
6825
ref
6782
ref
appTerm
nil
cons
cons
119
ref
7
ref
6791
ref
6785
remove
1450
ref
appTerm
6839
def
appTerm
appTerm
6792
ref
6791
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
6783
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
6825
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
6839
remove
appTerm
appTerm
6792
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
6840
def
1450
ref
appTerm
6841
def
betaConv
1452
ref
280
ref
6840
ref
appTerm
6842
def
absTerm
6843
def
1453
ref
appTerm
6844
def
betaConv
nil
3709
remove
6781
ref
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
6843
ref
appTerm
nil
cons
cons
119
ref
6844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6843
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6842
remove
nil
cons
cons
119
ref
6841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
6840
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
nil
6784
remove
6454
ref
cons
nil
cons
cons
6845
def
136
ref
subst
6845
remove
195
ref
subst
6782
remove
assume
2406
ref
2941
ref
6746
remove
absThm
appThm
sym
nil
2391
ref
2941
ref
6774
remove
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2941
ref
nil
149
ref
6775
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6777
remove
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
6790
remove
6730
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6453
remove
cons
6730
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6846
def
subst
nil
117
ref
59
ref
6439
ref
appTerm
nil
cons
cons
119
ref
6440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6439
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6438
remove
nil
cons
cons
119
ref
6437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
6436
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6395
ref
6434
ref
appTerm
nil
cons
cons
119
ref
6435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
6417
remove
6416
remove
6434
remove
nil
cons
cons
"x"
646
remove
var
6397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6433
remove
nil
cons
cons
6428
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
598
ref
306
ref
2444
remove
appThm
6847
def
1098
remove
6400
remove
assume
appThm
311
ref
appThm
nil
515
ref
nil
cons
cons
957
remove
subst
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
6411
ref
refl
6848
def
appThm
nil
149
ref
6420
ref
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
26
ref
refl
6849
def
appThm
sym
nil
117
ref
6420
ref
cons
6850
def
6428
ref
cons
nil
cons
cons
6851
def
136
ref
subst
6851
remove
195
ref
subst
741
ref
306
ref
3831
ref
appThm
6852
def
1353
ref
6404
remove
assume
appThm
6403
ref
refl
appThm
nil
13
ref
6403
remove
nil
cons
cons
nil
cons
nil
cons
cons
274
ref
subst
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
6429
remove
187
ref
subst
proveHyp
6408
remove
25
ref
appTerm
6853
def
betaConv
6410
remove
23
ref
appTerm
6854
def
betaConv
nil
6850
remove
119
ref
6854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
6423
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6424
remove
cons
119
ref
6853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
6425
remove
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6420
ref
cons
6727
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6426
remove
cons
6727
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
6419
remove
cons
164
ref
6420
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
6415
remove
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
2352
remove
5409
remove
appTerm
6855
def
absTerm
6856
def
appTerm
6857
def
absTerm
6858
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6857
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
6856
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
6855
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2388
remove
5411
remove
cons
nil
cons
cons
6859
def
136
ref
subst
6859
remove
195
ref
subst
2724
remove
2725
remove
5419
remove
proveHyp
proveHyp
eqMp
nil
2405
remove
5418
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
6858
remove
appTerm
thm
166
ref
298
ref
60
ref
237
ref
32
ref
60
ref
32
ref
2460
ref
450
ref
2
ref
2
ref
2
ref
0
ref
48
remove
cons
opType
6860
def
4
ref
cons
opType
6861
def
4
ref
cons
opType
6862
def
constTerm
6863
def
"f"
6860
ref
var
6864
def
43
ref
17
ref
379
ref
2595
ref
78
ref
6864
ref
varTerm
6865
def
382
ref
appTerm
6866
def
appTerm
6867
def
63
ref
appTerm
6868
def
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
630
ref
"Data.Bool.?!"
const
6869
def
16
remove
constTerm
6870
def
379
ref
43
ref
2570
ref
appTerm
6871
def
22
ref
6866
ref
appTerm
6872
def
23
ref
appTerm
6873
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
6874
def
absTerm
6875
def
absTerm
6876
def
63
ref
appTerm
betaConv
1101
ref
appThm
6875
ref
36
ref
appTerm
betaConv
trans
6877
def
absThm
appThm
absThm
appThm
appThm
237
ref
32
ref
298
ref
60
ref
6877
remove
absThm
appThm
absThm
appThm
appThm
nil
5442
remove
6876
remove
nil
cons
cons
nil
cons
nil
cons
cons
5448
remove
subst
eqMp
sym
nil
512
ref
60
ref
7
ref
2249
remove
appTerm
6863
ref
6864
ref
43
ref
17
ref
379
ref
7
ref
2618
ref
appTerm
6878
def
6868
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
630
ref
6870
ref
379
ref
43
ref
2618
remove
appTerm
6873
ref
appTerm
absTerm
appTerm
6879
def
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
6880
def
appTerm
6881
def
absTerm
6882
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6881
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
1569
ref
appThm
6880
ref
refl
appThm
sym
nil
1088
ref
119
ref
6880
remove
nil
cons
6883
def
cons
nil
cons
cons
nil
cons
cons
6884
def
136
ref
subst
6884
remove
195
ref
subst
120
ref
"_12777"
49
ref
var
6885
def
6863
ref
6864
ref
43
ref
17
ref
379
ref
6878
ref
6867
ref
6885
remove
varTerm
6886
def
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
7
ref
79
ref
6886
remove
appTerm
appTerm
6879
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6887
def
63
ref
appTerm
6888
def
appTerm
refl
6887
ref
56
ref
appTerm
betaConv
appThm
166
ref
6888
remove
betaConv
appThm
6863
ref
6864
ref
43
ref
17
ref
379
ref
6878
remove
6867
ref
56
ref
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
2770
ref
6879
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
6887
remove
refl
1091
ref
appThm
eqMp
sym
6863
ref
refl
6864
ref
306
ref
237
ref
379
ref
235
ref
6086
ref
appThm
nil
13
ref
6866
ref
nil
cons
6889
def
cons
nil
cons
6890
def
nil
cons
cons
2263
ref
subst
appThm
745
ref
1062
ref
subst
6891
def
trans
absThm
appThm
296
ref
trans
appThm
236
ref
13
ref
235
ref
2263
ref
appThm
6892
def
6870
ref
refl
6893
def
379
ref
306
ref
6086
remove
appThm
6873
ref
refl
appThm
nil
149
ref
6873
ref
nil
cons
cons
nil
cons
nil
cons
cons
1107
ref
subst
trans
absThm
appThm
appThm
nil
149
ref
6870
ref
379
ref
539
ref
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
absThm
appThm
289
ref
"A"
6860
ref
nil
cons
cons
nil
cons
6894
def
96
ref
cons
6895
def
5007
ref
subst
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
541
ref
164
ref
6883
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
6882
remove
appTerm
6896
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
59
ref
60
ref
6874
remove
absTerm
6897
def
appTerm
6898
def
appTerm
59
ref
60
ref
1197
remove
6863
ref
6864
ref
43
ref
17
ref
379
ref
7
ref
2632
ref
appTerm
6899
def
6868
ref
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
630
ref
6870
ref
379
ref
43
ref
2632
ref
appTerm
6900
def
6873
ref
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
6901
def
appTerm
6902
def
appTerm
6903
def
absTerm
6904
def
appTerm
6905
def
appTerm
6906
def
absTerm
6907
def
appTerm
6908
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
6907
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
6906
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6898
ref
nil
cons
6909
def
cons
6910
def
119
ref
6905
remove
nil
cons
6911
def
cons
nil
cons
cons
nil
cons
cons
6912
def
136
ref
subst
6912
remove
195
ref
subst
nil
512
ref
6904
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
6903
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
1130
remove
6902
ref
refl
6913
def
appThm
sym
nil
1133
remove
119
ref
6902
ref
nil
cons
6914
def
cons
nil
cons
6915
def
cons
nil
cons
cons
6916
def
136
ref
subst
6916
remove
195
ref
subst
1137
remove
1138
remove
nil
1139
remove
6915
ref
cons
nil
cons
cons
187
ref
subst
nil
188
ref
13
ref
848
remove
6902
ref
appTerm
6917
def
absTerm
6918
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
6917
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
852
remove
6915
ref
cons
nil
cons
cons
6919
def
136
ref
subst
6919
remove
195
ref
subst
855
remove
nil
675
ref
6915
ref
cons
nil
cons
cons
6920
def
187
ref
subst
proveHyp
6920
ref
136
ref
subst
6920
remove
195
ref
subst
1157
remove
nil
117
ref
630
ref
1150
ref
appTerm
nil
cons
cons
6915
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
1153
remove
appThm
6913
ref
appThm
sym
nil
117
ref
1151
ref
cons
6915
ref
cons
nil
cons
cons
6921
def
136
ref
subst
6921
remove
195
ref
subst
6897
ref
571
ref
appTerm
6922
def
betaConv
nil
6910
remove
119
ref
6922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
6897
remove
nil
cons
cons
711
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
1150
ref
appTerm
6863
remove
6864
ref
43
ref
17
ref
379
ref
2595
remove
6867
remove
571
ref
appTerm
appTerm
6923
def
absTerm
6924
def
appTerm
6925
def
appTerm
12
ref
3462
ref
7
ref
3464
ref
571
ref
appTerm
appTerm
6870
ref
379
ref
6871
ref
6872
ref
3463
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
6926
def
appTerm
6927
def
appTerm
6928
def
absTerm
6929
def
appTerm
6930
def
appTerm
nil
cons
cons
6915
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
1152
remove
1150
remove
assume
eqMp
appThm
6930
ref
refl
appThm
nil
149
ref
6930
ref
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
6913
remove
appThm
sym
nil
"P"
6861
remove
var
6931
def
6864
ref
7
ref
6929
ref
6865
ref
appTerm
6932
def
appTerm
6902
ref
appTerm
6933
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
6895
remove
370
ref
subst
subst
6864
remove
nil
149
ref
6933
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6932
ref
nil
cons
6934
def
cons
6915
ref
cons
nil
cons
cons
6935
def
136
ref
subst
6935
remove
195
ref
subst
6932
ref
betaConv
6932
remove
assume
eqMp
nil
117
ref
6928
remove
nil
cons
6936
def
cons
6915
remove
cons
nil
cons
cons
6937
def
187
ref
subst
proveHyp
6937
ref
136
ref
subst
6937
remove
195
ref
subst
nil
162
ref
6925
remove
nil
cons
6938
def
cons
164
ref
6927
remove
nil
cons
6939
def
cons
nil
cons
cons
nil
cons
cons
6940
def
178
ref
subst
6940
remove
436
ref
subst
6901
ref
379
ref
648
ref
3536
ref
appTerm
23
ref
appTerm
6866
ref
appTerm
6941
def
absTerm
6942
def
appTerm
betaConv
sym
nil
211
ref
379
ref
6899
remove
78
ref
6942
ref
382
ref
appTerm
6943
def
appTerm
63
ref
appTerm
appTerm
6944
def
absTerm
6945
def
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
6944
remove
nil
cons
6946
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
4331
ref
nil
cons
6947
def
cons
6948
def
119
ref
6946
ref
cons
nil
cons
6949
def
cons
nil
cons
cons
6950
def
136
ref
subst
6950
remove
195
ref
subst
235
ref
6081
ref
1675
ref
nil
6948
ref
119
ref
4805
remove
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
3536
ref
nil
cons
6951
def
cons
6952
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
6953
def
appThm
2570
ref
refl
appThm
nil
149
ref
2570
ref
nil
cons
6954
def
cons
nil
cons
nil
cons
cons
6955
def
1703
ref
subst
trans
trans
appThm
3806
ref
6943
ref
betaConv
6956
def
648
ref
refl
6957
def
6953
remove
appThm
207
ref
appThm
6866
ref
refl
appThm
nil
751
ref
6889
ref
cons
753
remove
579
ref
cons
nil
cons
6958
def
cons
nil
cons
cons
764
remove
subst
trans
trans
appThm
311
ref
appThm
appThm
sym
nil
117
ref
6954
ref
cons
6959
def
119
ref
6868
ref
nil
cons
6960
def
cons
nil
cons
6961
def
cons
nil
cons
cons
6962
def
136
ref
subst
6962
remove
195
ref
subst
6924
ref
382
ref
appTerm
6963
def
betaConv
nil
117
ref
6938
remove
cons
6964
def
119
ref
6963
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
6924
ref
nil
cons
cons
6965
def
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6923
remove
nil
cons
cons
6961
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
6955
remove
156
ref
subst
2570
remove
assume
eqMp
6966
def
appThm
nil
723
ref
6890
remove
cons
nil
cons
cons
740
ref
subst
appThm
nil
149
ref
43
ref
6868
ref
appTerm
19
ref
6873
remove
appTerm
6967
def
appTerm
nil
cons
6968
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
6868
remove
refl
appThm
sym
nil
117
ref
6968
ref
cons
6961
remove
cons
nil
cons
cons
6969
def
136
ref
subst
6969
remove
195
ref
subst
nil
162
ref
6960
ref
cons
164
ref
6967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
eqMp
nil
162
ref
6968
remove
cons
164
ref
6960
remove
cons
nil
cons
6970
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
6954
remove
cons
6971
def
6970
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6947
ref
cons
6972
def
164
ref
6946
ref
cons
nil
cons
6973
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6951
ref
cons
6974
def
6949
remove
cons
nil
cons
cons
6975
def
136
ref
subst
6975
remove
195
ref
subst
235
ref
5904
remove
3536
ref
assume
6976
def
appThm
6977
def
1096
ref
appThm
appThm
3806
ref
6956
ref
6957
remove
238
ref
6976
ref
appThm
1101
ref
appThm
2458
ref
trans
appThm
207
ref
appThm
6865
ref
refl
6976
remove
appThm
appThm
nil
751
remove
6865
ref
36
ref
appTerm
nil
cons
6978
def
cons
6958
remove
cons
nil
cons
cons
827
remove
subst
trans
trans
appThm
311
ref
appThm
694
ref
trans
appThm
nil
149
ref
2671
remove
37
ref
appTerm
6979
def
nil
cons
cons
nil
cons
nil
cons
cons
6980
def
287
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
6952
ref
6973
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
3536
remove
appTerm
6981
def
betaConv
1117
ref
nil
1118
ref
119
ref
6981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
284
ref
6951
ref
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
6952
ref
164
ref
6947
remove
cons
1064
ref
6946
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
117
ref
17
ref
6945
remove
appTerm
nil
cons
cons
119
ref
12
ref
3462
ref
3871
ref
6870
ref
379
ref
6900
ref
22
ref
6943
remove
appTerm
3463
ref
appTerm
appTerm
absTerm
6982
def
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
236
ref
3462
ref
3871
ref
refl
166
ref
6893
ref
379
ref
6982
ref
382
ref
appTerm
betaConv
6983
def
absThm
6984
def
appThm
appThm
306
ref
1780
ref
6984
remove
appThm
appThm
237
ref
379
ref
237
ref
"x'"
0
ref
var
6985
def
235
ref
306
ref
6983
remove
appThm
6982
ref
6985
ref
varTerm
6986
def
appTerm
betaConv
appThm
appThm
884
remove
6986
ref
appTerm
6987
def
refl
6988
def
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
409
ref
6982
remove
nil
cons
cons
nil
cons
nil
cons
cons
272
remove
197
ref
120
ref
6869
remove
11
remove
constTerm
6989
def
1205
remove
appTerm
appTerm
1841
remove
12
ref
13
ref
12
ref
3462
ref
7
ref
1624
ref
199
ref
3463
ref
appTerm
appTerm
appTerm
3790
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
6990
def
199
ref
appTerm
6991
def
betaConv
nil
664
ref
6990
ref
appTerm
6992
def
axiom
nil
117
ref
6992
remove
nil
cons
cons
119
ref
6991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
6990
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
6993
def
subst
eqMp
306
ref
1780
ref
379
ref
6900
ref
refl
1353
ref
6956
remove
appThm
3463
ref
refl
6994
def
appThm
appThm
6995
def
absThm
appThm
appThm
237
ref
379
ref
237
ref
6985
ref
235
ref
306
ref
6995
remove
appThm
43
ref
2568
ref
6986
ref
appTerm
6996
def
37
ref
appTerm
appTerm
6997
def
refl
1353
ref
6942
ref
6986
ref
appTerm
betaConv
appThm
6994
remove
appThm
appThm
appThm
appThm
6988
ref
appThm
absThm
appThm
absThm
appThm
appThm
trans
appThm
absThm
appThm
sym
nil
188
ref
14
ref
7
ref
3644
ref
appTerm
6998
def
43
ref
886
ref
379
ref
6900
ref
22
ref
6941
ref
appTerm
6999
def
25
ref
appTerm
7000
def
appTerm
7001
def
absTerm
7002
def
appTerm
7003
def
appTerm
17
ref
379
ref
17
ref
6985
ref
7
ref
43
ref
7001
remove
appTerm
6997
ref
22
ref
648
ref
31
ref
6986
ref
appTerm
36
ref
appTerm
appTerm
23
ref
appTerm
6865
ref
6986
ref
appTerm
7004
def
appTerm
appTerm
7005
def
25
ref
appTerm
appTerm
7006
def
appTerm
appTerm
6987
ref
appTerm
absTerm
appTerm
absTerm
appTerm
7007
def
appTerm
7008
def
appTerm
7009
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
7009
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
3824
remove
cons
7010
def
119
ref
7008
remove
nil
cons
7011
def
cons
nil
cons
cons
nil
cons
cons
7012
def
136
ref
subst
7012
remove
195
ref
subst
nil
117
ref
19
ref
1163
ref
appTerm
7013
def
nil
cons
7014
def
cons
7015
def
119
ref
7003
ref
nil
cons
7016
def
cons
nil
cons
7017
def
cons
nil
cons
cons
7018
def
136
ref
subst
7018
remove
195
ref
subst
6926
ref
25
ref
appTerm
7019
def
betaConv
nil
117
ref
6939
remove
cons
119
ref
7019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
6926
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7020
def
nil
117
ref
7
ref
3643
ref
571
ref
appTerm
appTerm
6870
remove
379
ref
6871
ref
6872
remove
25
ref
appTerm
7021
def
appTerm
7022
def
absTerm
7023
def
appTerm
appTerm
nil
cons
cons
7024
def
7017
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
3827
ref
740
ref
subst
6852
ref
537
ref
nil
7015
ref
119
ref
120
ref
1163
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
3832
ref
cons
7025
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
appThm
429
ref
trans
trans
appThm
166
ref
6893
remove
379
ref
7023
ref
382
ref
appTerm
7026
def
betaConv
7027
def
absThm
7028
def
appThm
appThm
306
ref
1780
remove
7028
remove
appThm
appThm
237
ref
379
ref
237
ref
6985
ref
235
ref
306
ref
7027
ref
appThm
7023
ref
6986
ref
appTerm
betaConv
appThm
appThm
6988
remove
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
409
ref
7023
ref
nil
cons
7029
def
cons
nil
cons
nil
cons
cons
6993
remove
subst
eqMp
appThm
nil
149
ref
43
ref
886
ref
7023
ref
appTerm
7030
def
appTerm
17
ref
379
ref
17
ref
6985
ref
7
ref
43
ref
7022
ref
appTerm
43
ref
6996
remove
36
ref
appTerm
appTerm
22
ref
7004
remove
appTerm
25
ref
appTerm
appTerm
appTerm
appTerm
6987
ref
appTerm
absTerm
7031
def
appTerm
7032
def
absTerm
7033
def
appTerm
7034
def
appTerm
nil
cons
7035
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
7036
def
7003
ref
refl
appThm
sym
nil
117
ref
7035
ref
cons
7037
def
7017
ref
cons
nil
cons
cons
7038
def
136
ref
subst
7038
remove
195
ref
subst
nil
162
ref
7030
ref
nil
cons
7039
def
cons
164
ref
7034
remove
nil
cons
7040
def
cons
nil
cons
cons
nil
cons
cons
7041
def
178
ref
subst
nil
117
ref
7039
remove
cons
7017
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
211
ref
379
ref
7
ref
7026
ref
appTerm
7003
ref
appTerm
7042
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
7042
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7026
ref
nil
cons
7043
def
cons
7017
ref
cons
nil
cons
cons
7044
def
136
ref
subst
7044
remove
195
ref
subst
7027
remove
7026
remove
assume
eqMp
nil
117
ref
7022
remove
nil
cons
7045
def
cons
7017
ref
cons
nil
cons
cons
7046
def
187
ref
subst
proveHyp
7046
ref
136
ref
subst
7046
remove
195
ref
subst
nil
6971
remove
164
ref
7021
ref
nil
cons
7047
def
cons
nil
cons
7048
def
cons
nil
cons
cons
7049
def
178
ref
subst
7049
remove
436
ref
subst
7002
ref
382
ref
appTerm
betaConv
sym
"n'"
0
ref
var
7050
def
43
ref
2569
remove
7050
ref
varTerm
7051
def
appTerm
appTerm
2568
ref
7051
ref
appTerm
37
ref
appTerm
appTerm
absTerm
7052
def
36
ref
appTerm
betaConv
sym
306
ref
6966
remove
appThm
6980
remove
156
ref
subst
32
ref
6979
remove
absTerm
7053
def
36
ref
appTerm
7054
def
betaConv
nil
17
ref
7053
ref
appTerm
7055
def
axiom
nil
117
ref
7055
remove
nil
cons
cons
119
ref
7054
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7053
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
7056
def
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
210
ref
211
ref
7052
ref
nil
cons
cons
348
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
ref
7052
remove
appTerm
nil
cons
cons
119
ref
2632
remove
nil
cons
7057
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4781
ref
338
remove
cons
nil
cons
nil
cons
cons
4781
ref
7
ref
886
ref
32
ref
6871
remove
6679
remove
appTerm
7058
def
absTerm
7059
def
appTerm
7060
def
appTerm
7061
def
6684
ref
appTerm
7062
def
absTerm
7063
def
4786
ref
appTerm
7064
def
betaConv
379
ref
17
ref
7063
ref
appTerm
7065
def
absTerm
7066
def
382
ref
appTerm
7067
def
betaConv
nil
17
ref
379
ref
17
ref
32
ref
17
ref
4781
ref
7
ref
7058
ref
appTerm
6684
ref
appTerm
absTerm
7068
def
appTerm
7069
def
absTerm
7070
def
appTerm
7071
def
absTerm
7072
def
appTerm
7073
def
axiom
nil
117
ref
7073
ref
nil
cons
7074
def
cons
7075
def
119
ref
17
ref
7066
ref
appTerm
nil
cons
7076
def
cons
nil
cons
cons
nil
cons
cons
7077
def
187
ref
subst
proveHyp
7077
ref
136
ref
subst
7077
remove
195
ref
subst
nil
211
ref
7066
remove
nil
cons
cons
7078
def
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
7065
remove
nil
cons
7079
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
7063
remove
nil
cons
cons
7080
def
nil
cons
nil
cons
cons
371
ref
subst
4781
ref
nil
149
ref
7062
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7060
remove
nil
cons
7081
def
cons
7082
def
6707
ref
cons
nil
cons
cons
7083
def
136
ref
subst
7083
remove
195
ref
subst
nil
7075
ref
6707
ref
cons
nil
cons
cons
7084
def
187
ref
subst
nil
7082
remove
119
ref
7
ref
7073
remove
appTerm
6684
remove
appTerm
7085
def
nil
cons
7086
def
cons
nil
cons
7087
def
cons
nil
cons
cons
187
ref
subst
nil
211
ref
32
ref
7
ref
7059
ref
36
ref
appTerm
7088
def
appTerm
7085
ref
appTerm
7089
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
7089
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7088
ref
nil
cons
7090
def
cons
7087
ref
cons
nil
cons
cons
7091
def
136
ref
subst
7091
remove
195
ref
subst
7088
ref
betaConv
7088
remove
assume
eqMp
nil
117
ref
7058
remove
nil
cons
7092
def
cons
7093
def
7087
remove
cons
nil
cons
cons
7094
def
187
ref
subst
proveHyp
7094
ref
136
ref
subst
7094
remove
195
ref
subst
7084
ref
136
ref
subst
7084
remove
195
ref
subst
nil
7093
remove
6707
remove
cons
nil
cons
cons
187
ref
subst
7068
ref
4786
ref
appTerm
7095
def
betaConv
7070
ref
36
ref
appTerm
7096
def
betaConv
7072
ref
382
ref
appTerm
7097
def
betaConv
nil
7075
remove
119
ref
7097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
7072
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7071
remove
nil
cons
cons
119
ref
7096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7070
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7069
remove
nil
cons
cons
119
ref
7095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7068
remove
nil
cons
cons
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7074
remove
cons
7098
def
6724
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
7092
remove
cons
164
ref
7086
remove
cons
nil
cons
7099
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7090
remove
cons
7099
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
7059
ref
911
ref
appTerm
appTerm
7085
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7061
remove
7085
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7059
remove
nil
cons
cons
7099
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7081
remove
cons
6724
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7098
remove
164
ref
7076
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
7076
remove
cons
119
ref
7067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
7078
remove
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7079
remove
cons
119
ref
7064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
7080
remove
5171
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
nil
117
ref
7057
remove
cons
119
ref
7000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
166
ref
"_12793"
9
ref
var
7100
def
22
ref
7100
remove
varTerm
appTerm
25
ref
appTerm
absTerm
7101
def
6941
remove
appTerm
betaConv
appThm
306
ref
6671
ref
refl
7101
ref
23
ref
appTerm
betaConv
appThm
appThm
7
ref
4331
remove
appTerm
7102
def
refl
7101
ref
6866
remove
appTerm
betaConv
appThm
appThm
appThm
nil
645
ref
6889
remove
cons
642
remove
579
remove
cons
7103
def
639
ref
6951
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
644
ref
7101
remove
nil
cons
cons
nil
cons
nil
cons
cons
673
ref
subst
subst
eqMp
sym
nil
6974
remove
6428
ref
cons
nil
cons
cons
7104
def
136
ref
subst
7104
remove
195
ref
subst
nil
6959
remove
6428
ref
cons
nil
cons
cons
187
ref
subst
235
ref
6977
remove
1101
ref
appThm
2678
remove
trans
appThm
537
ref
3827
remove
3186
ref
subst
appThm
7013
remove
assume
eqMp
6598
remove
proveHyp
6599
remove
eqMp
7105
def
appThm
6891
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
6952
remove
6727
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6671
remove
26
ref
appTerm
nil
cons
cons
119
ref
7102
remove
7021
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
6948
remove
119
ref
7047
remove
cons
nil
cons
cons
nil
cons
cons
7106
def
136
ref
subst
7106
remove
195
ref
subst
7021
remove
assume
eqMp
nil
6972
remove
7048
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
210
ref
211
ref
7002
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7045
remove
cons
164
ref
7016
ref
cons
nil
cons
7107
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7043
remove
cons
7107
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
17
ref
212
ref
7
ref
7023
remove
911
remove
appTerm
appTerm
7003
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
7030
remove
appTerm
7003
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7029
remove
cons
7107
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
7035
remove
cons
7108
def
7107
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7014
ref
cons
7109
def
7107
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
3832
ref
cons
7110
def
7017
remove
cons
nil
cons
cons
7111
def
136
ref
subst
7111
remove
195
ref
subst
120
ref
"_12781"
9
ref
var
7112
def
886
ref
379
ref
6900
ref
6999
ref
7112
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7113
def
25
ref
appTerm
7114
def
appTerm
refl
7113
ref
23
ref
appTerm
betaConv
appThm
166
ref
7114
remove
betaConv
appThm
886
ref
379
ref
6900
ref
6999
ref
23
ref
appTerm
appTerm
7115
def
absTerm
7116
def
appTerm
refl
appThm
trans
7113
remove
refl
1163
ref
assume
7117
def
appThm
eqMp
sym
7116
ref
36
ref
appTerm
betaConv
sym
306
ref
7056
remove
appThm
1353
ref
nil
4629
ref
6978
remove
cons
723
ref
348
ref
cons
cons
nil
cons
cons
209
remove
6003
remove
cons
96
ref
cons
3244
ref
subst
subst
appThm
207
ref
appThm
274
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
210
ref
211
ref
7116
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
7025
ref
7107
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
ref
1163
ref
appTerm
7118
def
betaConv
1117
ref
nil
1118
ref
119
ref
7118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
ref
284
ref
3832
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7119
def
nil
7025
ref
164
ref
7014
remove
cons
7120
def
1064
ref
7016
ref
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
nil
117
ref
7016
remove
cons
119
ref
7007
remove
nil
cons
7121
def
cons
nil
cons
7122
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
7015
remove
7122
ref
cons
nil
cons
cons
7123
def
136
ref
subst
7123
remove
195
ref
subst
nil
211
ref
"m1"
0
ref
var
7124
def
17
ref
6985
ref
7
ref
43
ref
43
ref
2568
ref
7124
ref
varTerm
7125
def
appTerm
7126
def
37
ref
appTerm
appTerm
7127
def
22
ref
648
ref
31
ref
7125
ref
appTerm
7128
def
36
ref
appTerm
7129
def
appTerm
23
ref
appTerm
6865
ref
7125
ref
appTerm
7130
def
appTerm
7131
def
appTerm
7132
def
25
ref
appTerm
7133
def
appTerm
appTerm
7134
def
7006
remove
appTerm
appTerm
7128
ref
6986
ref
appTerm
7135
def
appTerm
absTerm
appTerm
7136
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
7124
ref
nil
149
ref
7136
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
"m2"
0
ref
var
7137
def
7
ref
7134
remove
43
ref
2568
ref
7137
ref
varTerm
7138
def
appTerm
7139
def
37
ref
appTerm
appTerm
7140
def
22
ref
648
remove
31
ref
7138
ref
appTerm
36
ref
appTerm
7141
def
appTerm
23
ref
appTerm
6865
remove
7138
ref
appTerm
7142
def
appTerm
7143
def
appTerm
7144
def
25
ref
appTerm
7145
def
appTerm
appTerm
appTerm
7128
ref
7138
ref
appTerm
7146
def
appTerm
7147
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
7137
ref
nil
149
ref
7147
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
306
ref
306
ref
nil
379
ref
7125
ref
nil
cons
7148
def
cons
nil
cons
7149
def
nil
cons
cons
6081
ref
subst
appThm
7150
def
7133
remove
refl
appThm
appThm
306
ref
nil
379
ref
7138
ref
nil
cons
7151
def
cons
nil
cons
nil
cons
cons
6081
remove
subst
appThm
7152
def
7145
ref
refl
appThm
appThm
appThm
7146
ref
refl
7153
def
appThm
sym
166
ref
"_12847"
9
ref
var
7154
def
7
ref
43
ref
43
ref
883
ref
7129
ref
appTerm
7126
remove
36
ref
appTerm
7155
def
appTerm
appTerm
7156
def
22
ref
7154
remove
varTerm
appTerm
25
ref
appTerm
appTerm
appTerm
43
ref
883
ref
7141
ref
appTerm
7139
remove
36
ref
appTerm
7157
def
appTerm
7158
def
appTerm
7159
def
7145
remove
appTerm
7160
def
appTerm
appTerm
7146
ref
appTerm
absTerm
7161
def
7131
ref
appTerm
betaConv
appThm
306
ref
7
ref
7129
ref
appTerm
7162
def
refl
7163
def
7161
ref
23
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
7129
ref
appTerm
7164
def
appTerm
7165
def
refl
7166
def
7161
ref
7130
ref
appTerm
betaConv
appThm
appThm
appThm
nil
645
ref
7130
ref
nil
cons
7167
def
cons
7103
ref
639
ref
7129
ref
nil
cons
7168
def
cons
nil
cons
cons
cons
nil
cons
cons
7169
def
nil
644
ref
7161
remove
nil
cons
cons
nil
cons
nil
cons
cons
673
ref
subst
subst
eqMp
sym
nil
117
ref
7168
ref
cons
7170
def
119
ref
7
ref
43
ref
7156
ref
26
ref
appTerm
appTerm
7160
ref
appTerm
appTerm
7146
ref
appTerm
7171
def
nil
cons
7172
def
cons
nil
cons
cons
nil
cons
cons
7173
def
136
ref
subst
7173
remove
195
ref
subst
120
ref
"_12849"
3
ref
var
7174
def
7
ref
43
ref
43
ref
883
ref
7174
remove
varTerm
appTerm
7155
ref
appTerm
appTerm
26
ref
appTerm
appTerm
7160
ref
appTerm
appTerm
7146
ref
appTerm
absTerm
7175
def
7129
ref
appTerm
7176
def
appTerm
refl
7175
ref
141
ref
appTerm
betaConv
appThm
166
ref
7176
remove
betaConv
appThm
7
ref
43
ref
43
ref
1680
ref
7155
ref
appTerm
appTerm
7177
def
26
ref
appTerm
appTerm
7160
ref
appTerm
appTerm
7146
ref
appTerm
refl
appThm
trans
7175
remove
refl
nil
149
ref
7168
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
7129
ref
assume
7178
def
eqMp
7179
def
appThm
eqMp
sym
235
ref
306
ref
306
ref
nil
149
ref
7155
ref
nil
cons
7180
def
cons
nil
cons
nil
cons
cons
7181
def
1684
ref
subst
appThm
7105
ref
appThm
746
ref
trans
appThm
7160
ref
refl
appThm
nil
149
ref
7160
ref
nil
cons
cons
nil
cons
nil
cons
cons
1107
ref
subst
trans
appThm
238
ref
7178
ref
appThm
7138
ref
refl
appThm
appThm
nil
149
ref
4384
ref
7138
ref
appTerm
7182
def
nil
cons
7183
def
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
7168
remove
cons
7184
def
164
ref
7172
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7162
ref
7171
remove
appTerm
nil
cons
cons
119
ref
7165
ref
7
ref
43
ref
7156
ref
22
ref
7130
ref
appTerm
7185
def
25
ref
appTerm
7186
def
appTerm
appTerm
7160
ref
appTerm
appTerm
7146
ref
appTerm
7187
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
7164
remove
nil
cons
7188
def
cons
7189
def
119
ref
7187
remove
nil
cons
7190
def
cons
nil
cons
cons
nil
cons
cons
7191
def
136
ref
subst
7191
remove
195
ref
subst
120
ref
"_12851"
3
ref
var
7192
def
7
ref
43
ref
43
ref
883
ref
7192
remove
varTerm
appTerm
7155
ref
appTerm
appTerm
7186
ref
appTerm
appTerm
7160
ref
appTerm
appTerm
7146
ref
appTerm
absTerm
7193
def
7129
ref
appTerm
7194
def
appTerm
refl
7193
ref
539
ref
appTerm
betaConv
appThm
166
ref
7194
remove
betaConv
appThm
7
ref
43
ref
43
ref
1699
ref
7155
ref
appTerm
appTerm
7195
def
7186
ref
appTerm
appTerm
7196
def
7160
remove
appTerm
appTerm
7146
ref
appTerm
refl
appThm
trans
7193
remove
refl
nil
7189
ref
119
ref
120
ref
7129
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
7184
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
7197
def
appThm
eqMp
sym
166
ref
"_12853"
9
ref
var
7198
def
7
ref
7196
ref
7159
ref
22
ref
7198
remove
varTerm
appTerm
25
ref
appTerm
appTerm
appTerm
appTerm
7146
ref
appTerm
absTerm
7199
def
7143
ref
appTerm
betaConv
appThm
306
ref
7
ref
7141
ref
appTerm
7200
def
refl
7201
def
7199
ref
23
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
7141
ref
appTerm
7202
def
appTerm
7203
def
refl
7204
def
7199
ref
7142
ref
appTerm
betaConv
appThm
appThm
appThm
nil
645
remove
7142
ref
nil
cons
7205
def
cons
7103
remove
639
ref
7141
ref
nil
cons
7206
def
cons
nil
cons
cons
cons
nil
cons
cons
7207
def
nil
644
ref
7199
remove
nil
cons
cons
nil
cons
nil
cons
cons
673
ref
subst
subst
eqMp
sym
nil
117
ref
7206
ref
cons
7208
def
119
ref
7
ref
7196
ref
7159
ref
26
ref
appTerm
appTerm
appTerm
7146
ref
appTerm
7209
def
nil
cons
7210
def
cons
nil
cons
cons
nil
cons
cons
7211
def
136
ref
subst
7211
remove
195
ref
subst
120
ref
"_12855"
3
ref
var
7212
def
7
ref
7196
ref
43
ref
883
ref
7212
remove
varTerm
appTerm
7157
ref
appTerm
appTerm
26
ref
appTerm
appTerm
appTerm
7146
ref
appTerm
absTerm
7213
def
7141
ref
appTerm
7214
def
appTerm
refl
7213
ref
141
ref
appTerm
betaConv
appThm
166
ref
7214
remove
betaConv
appThm
7
ref
7196
ref
43
ref
1680
ref
7157
ref
appTerm
appTerm
7215
def
26
ref
appTerm
appTerm
appTerm
7146
ref
appTerm
refl
appThm
trans
7213
remove
refl
nil
149
ref
7206
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
7141
ref
assume
7216
def
eqMp
7217
def
appThm
eqMp
sym
235
ref
306
ref
306
ref
7181
ref
1703
ref
subst
appThm
7218
def
7186
ref
refl
appThm
appThm
7219
def
306
ref
nil
149
ref
7157
ref
nil
cons
7220
def
cons
nil
cons
nil
cons
cons
7221
def
1684
ref
subst
appThm
7105
remove
appThm
746
ref
trans
appThm
nil
149
ref
43
ref
7155
ref
appTerm
7222
def
7186
ref
appTerm
7223
def
nil
cons
7224
def
cons
nil
cons
nil
cons
cons
5324
ref
subst
trans
appThm
7128
remove
refl
7216
ref
appThm
7197
ref
trans
7225
def
appThm
6891
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
7206
remove
cons
7226
def
164
ref
7210
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7200
ref
7209
remove
appTerm
nil
cons
cons
119
ref
7203
ref
7
ref
7196
ref
7159
ref
22
ref
7142
ref
appTerm
7227
def
25
ref
appTerm
7228
def
appTerm
appTerm
appTerm
7146
ref
appTerm
7229
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
7202
ref
nil
cons
7230
def
cons
7231
def
119
ref
7229
remove
nil
cons
7232
def
cons
nil
cons
cons
nil
cons
cons
7233
def
136
ref
subst
7233
remove
195
ref
subst
120
ref
"_12857"
3
ref
var
7234
def
7
ref
7196
ref
43
ref
883
ref
7234
remove
varTerm
appTerm
7157
ref
appTerm
appTerm
7228
ref
appTerm
appTerm
appTerm
7146
ref
appTerm
absTerm
7235
def
7141
ref
appTerm
7236
def
appTerm
refl
7235
ref
539
ref
appTerm
betaConv
appThm
166
ref
7236
remove
betaConv
appThm
7
ref
7196
remove
43
ref
1699
ref
7157
ref
appTerm
appTerm
7237
def
7228
ref
appTerm
appTerm
appTerm
7146
ref
appTerm
refl
appThm
trans
7235
remove
refl
nil
7231
ref
119
ref
120
ref
7141
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
7226
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
7238
def
appThm
eqMp
sym
235
ref
7219
remove
306
ref
7221
ref
1703
ref
subst
appThm
7239
def
7228
ref
refl
appThm
appThm
appThm
7153
ref
appThm
sym
nil
117
ref
43
ref
7223
remove
appTerm
43
ref
7157
ref
appTerm
7240
def
7228
ref
appTerm
7241
def
appTerm
nil
cons
7242
def
cons
119
ref
7146
ref
nil
cons
7243
def
cons
nil
cons
7244
def
cons
nil
cons
cons
7245
def
136
ref
subst
7245
ref
195
ref
subst
nil
162
ref
7224
remove
cons
164
ref
7241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7246
def
178
ref
subst
7246
remove
436
ref
subst
nil
162
ref
7180
remove
cons
7247
def
164
ref
7186
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7248
def
178
ref
subst
7248
remove
436
ref
subst
nil
162
ref
7220
ref
cons
7249
def
164
ref
7228
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7250
def
178
ref
subst
7250
remove
436
ref
subst
7020
remove
nil
7024
remove
7244
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
7036
remove
7153
ref
appThm
sym
nil
7037
remove
7244
ref
cons
nil
cons
cons
7251
def
136
ref
subst
7251
remove
195
ref
subst
306
ref
306
ref
7181
remove
156
ref
subst
7155
ref
assume
eqMp
7252
def
appThm
1353
ref
7186
remove
assume
appThm
25
ref
refl
7253
def
appThm
6521
ref
274
ref
subst
7254
def
trans
appThm
429
ref
trans
appThm
306
ref
7221
remove
156
ref
subst
7157
ref
assume
eqMp
7255
def
appThm
1353
ref
7228
remove
assume
appThm
7253
remove
appThm
7254
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
7245
remove
187
ref
subst
proveHyp
nil
6985
ref
7151
ref
cons
7149
remove
cons
nil
cons
cons
7031
ref
6986
ref
appTerm
7256
def
betaConv
7033
ref
382
ref
appTerm
7257
def
betaConv
7041
remove
436
ref
subst
nil
117
ref
7040
remove
cons
119
ref
7257
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7033
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7032
remove
nil
cons
cons
119
ref
7256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7031
remove
nil
cons
cons
212
ref
6986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
7108
remove
164
ref
7243
ref
cons
nil
cons
7258
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7242
remove
cons
7258
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7230
remove
cons
7259
def
164
ref
7232
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7188
remove
cons
7260
def
164
ref
7190
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7109
remove
164
ref
7121
ref
cons
nil
cons
7261
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
7110
remove
7122
remove
cons
nil
cons
cons
7262
def
136
ref
subst
7262
remove
195
ref
subst
120
ref
"_12799"
9
ref
var
7263
def
17
ref
379
ref
17
ref
6985
ref
7
ref
43
ref
6900
remove
6999
remove
7263
remove
varTerm
7264
def
appTerm
appTerm
appTerm
6997
ref
7005
ref
7264
remove
appTerm
appTerm
appTerm
appTerm
6987
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7265
def
25
ref
appTerm
7266
def
appTerm
refl
7265
ref
23
ref
appTerm
betaConv
appThm
166
ref
7266
remove
betaConv
appThm
17
ref
379
ref
17
ref
6985
ref
7
ref
43
ref
7115
remove
appTerm
6997
remove
7005
remove
23
ref
appTerm
appTerm
7267
def
appTerm
appTerm
6987
remove
appTerm
absTerm
appTerm
absTerm
appTerm
refl
appThm
trans
7265
remove
refl
7117
ref
appThm
eqMp
sym
120
ref
"_12809"
9
ref
var
7268
def
78
ref
7268
remove
varTerm
appTerm
63
ref
appTerm
absTerm
25
ref
appTerm
7269
def
appTerm
refl
854
remove
appThm
166
ref
7269
remove
betaConv
appThm
3627
ref
appThm
trans
5039
remove
7117
remove
appThm
eqMp
3830
remove
eqMp
7270
def
nil
211
ref
7124
ref
17
ref
6985
remove
7
ref
43
ref
7127
remove
7132
remove
23
ref
appTerm
7271
def
appTerm
appTerm
7272
def
7267
remove
appTerm
appTerm
7135
remove
appTerm
absTerm
appTerm
7273
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
7124
remove
nil
149
ref
7273
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
7137
ref
7
ref
7272
remove
7140
remove
7144
remove
23
ref
appTerm
7274
def
appTerm
appTerm
appTerm
7146
ref
appTerm
7275
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
7137
remove
nil
149
ref
7275
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
306
ref
7150
remove
7271
remove
refl
appThm
appThm
7152
remove
7274
ref
refl
appThm
appThm
appThm
7153
ref
appThm
sym
166
ref
"_12811"
9
ref
var
7276
def
7
ref
43
ref
7156
ref
22
ref
7276
remove
varTerm
appTerm
23
ref
appTerm
appTerm
appTerm
7159
ref
7274
ref
appTerm
7277
def
appTerm
appTerm
7146
ref
appTerm
absTerm
7278
def
7131
remove
appTerm
betaConv
appThm
306
ref
7163
remove
7278
ref
23
ref
appTerm
betaConv
appThm
appThm
7166
remove
7278
ref
7130
ref
appTerm
betaConv
appThm
appThm
appThm
7169
remove
nil
644
ref
7278
remove
nil
cons
cons
nil
cons
nil
cons
cons
673
ref
subst
subst
eqMp
sym
nil
7170
remove
119
ref
7
ref
43
ref
7156
ref
273
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
ref
appTerm
7279
def
nil
cons
7280
def
cons
nil
cons
cons
nil
cons
cons
7281
def
136
ref
subst
7281
remove
195
ref
subst
120
ref
"_12813"
3
ref
var
7282
def
7
ref
43
ref
43
ref
883
ref
7282
remove
varTerm
appTerm
7155
ref
appTerm
appTerm
273
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
ref
appTerm
absTerm
7283
def
7129
ref
appTerm
7284
def
appTerm
refl
7283
ref
141
ref
appTerm
betaConv
appThm
166
ref
7284
remove
betaConv
appThm
7
ref
43
ref
7177
remove
273
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
ref
appTerm
refl
appThm
trans
7283
remove
refl
7179
remove
appThm
eqMp
sym
120
ref
"_12817"
0
ref
var
7285
def
7
ref
43
ref
43
ref
1680
ref
2568
ref
7285
remove
varTerm
7286
def
appTerm
36
ref
appTerm
appTerm
appTerm
273
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
31
ref
7286
remove
appTerm
7138
ref
appTerm
appTerm
absTerm
7287
def
7125
ref
appTerm
7288
def
appTerm
refl
7287
ref
36
ref
appTerm
betaConv
appThm
166
ref
7288
remove
betaConv
appThm
7
ref
43
ref
43
ref
1680
ref
2672
remove
appTerm
appTerm
273
ref
appTerm
7289
def
appTerm
7290
def
7277
ref
appTerm
appTerm
7182
ref
appTerm
refl
appThm
trans
7287
remove
refl
7178
remove
appThm
eqMp
sym
7270
remove
166
ref
"_12829"
9
ref
var
7291
def
7
ref
7290
ref
7159
ref
22
ref
7291
remove
varTerm
appTerm
23
ref
appTerm
appTerm
appTerm
appTerm
7182
ref
appTerm
absTerm
7292
def
7143
remove
appTerm
betaConv
appThm
306
ref
7201
remove
7292
ref
23
ref
appTerm
betaConv
appThm
appThm
7204
remove
7292
ref
7142
ref
appTerm
betaConv
appThm
appThm
appThm
7207
remove
nil
644
remove
7292
remove
nil
cons
cons
nil
cons
nil
cons
cons
673
ref
subst
subst
eqMp
sym
nil
7208
ref
119
ref
7
ref
7290
ref
7159
ref
273
ref
appTerm
appTerm
appTerm
7182
ref
appTerm
7293
def
nil
cons
7294
def
cons
nil
cons
cons
nil
cons
cons
7295
def
136
ref
subst
7295
remove
195
ref
subst
120
ref
"_12831"
3
ref
var
7296
def
7
ref
7290
ref
43
ref
883
ref
7296
remove
varTerm
appTerm
7157
ref
appTerm
appTerm
273
ref
appTerm
appTerm
appTerm
7182
ref
appTerm
absTerm
7297
def
7141
ref
appTerm
7298
def
appTerm
refl
7297
ref
141
ref
appTerm
betaConv
appThm
166
ref
7298
remove
betaConv
appThm
7
ref
7290
ref
7215
remove
273
ref
appTerm
appTerm
appTerm
7182
ref
appTerm
refl
appThm
trans
7297
remove
refl
7217
remove
appThm
eqMp
sym
120
ref
"_12835"
0
ref
var
7299
def
7
ref
7290
ref
43
ref
1680
ref
2568
ref
7299
remove
varTerm
7300
def
appTerm
36
ref
appTerm
appTerm
appTerm
273
remove
appTerm
appTerm
appTerm
4384
ref
7300
remove
appTerm
appTerm
absTerm
7301
def
7138
ref
appTerm
7302
def
appTerm
refl
7301
ref
36
ref
appTerm
betaConv
appThm
166
ref
7302
remove
betaConv
appThm
7
ref
7290
ref
7289
ref
appTerm
appTerm
4384
remove
36
ref
appTerm
appTerm
refl
appThm
trans
7301
remove
refl
7216
ref
appThm
eqMp
sym
235
ref
nil
149
ref
7289
remove
nil
cons
cons
nil
cons
nil
cons
cons
149
ref
120
ref
2418
remove
152
ref
appTerm
appTerm
152
ref
appTerm
absTerm
7303
def
152
ref
appTerm
7304
def
betaConv
nil
280
ref
7303
ref
appTerm
7305
def
axiom
nil
117
ref
7305
remove
nil
cons
cons
119
ref
7304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7303
remove
nil
cons
cons
286
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7306
def
subst
306
ref
nil
149
ref
2677
remove
cons
nil
cons
nil
cons
cons
1684
ref
subst
appThm
274
ref
appThm
429
ref
trans
7307
def
trans
appThm
2458
ref
appThm
1381
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
eqMp
nil
7226
ref
164
ref
7294
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7200
remove
7293
remove
appTerm
nil
cons
cons
119
ref
7203
remove
7
ref
7290
ref
7159
remove
7227
remove
23
ref
appTerm
7308
def
appTerm
appTerm
appTerm
7182
ref
appTerm
7309
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
7231
remove
119
ref
7309
remove
nil
cons
7310
def
cons
nil
cons
cons
nil
cons
cons
7311
def
136
ref
subst
7311
remove
195
ref
subst
120
ref
"_12833"
3
ref
var
7312
def
7
ref
7290
ref
43
ref
883
ref
7312
remove
varTerm
appTerm
7157
ref
appTerm
appTerm
7308
ref
appTerm
appTerm
appTerm
7182
ref
appTerm
absTerm
7313
def
7141
remove
appTerm
7314
def
appTerm
refl
7313
ref
539
ref
appTerm
betaConv
appThm
166
ref
7314
remove
betaConv
appThm
7
ref
7290
remove
7237
remove
7308
ref
appTerm
appTerm
appTerm
7182
ref
appTerm
refl
appThm
trans
7313
remove
refl
7238
remove
appThm
eqMp
sym
235
ref
306
ref
7307
remove
appThm
7239
remove
7308
ref
refl
appThm
appThm
nil
149
ref
7240
remove
7308
ref
appTerm
nil
cons
7315
def
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
appThm
7182
ref
refl
appThm
sym
nil
117
ref
7315
ref
cons
119
ref
7183
ref
cons
nil
cons
7316
def
cons
nil
cons
cons
7317
def
136
ref
subst
7317
remove
195
ref
subst
nil
7249
ref
164
ref
7308
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7318
def
178
ref
subst
7318
remove
436
ref
subst
6924
ref
7138
remove
appTerm
7319
def
betaConv
nil
6964
ref
119
ref
7319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
6965
ref
212
ref
7151
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
7157
remove
appTerm
78
ref
7142
remove
appTerm
571
ref
appTerm
appTerm
nil
cons
cons
7316
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
7255
remove
appThm
nil
723
ref
13
ref
7205
remove
cons
nil
cons
cons
nil
cons
cons
740
ref
subst
306
ref
3806
ref
7308
remove
assume
7320
def
appThm
311
ref
appThm
694
ref
trans
appThm
537
ref
1353
ref
7320
remove
appThm
207
ref
appThm
274
ref
trans
appThm
744
ref
trans
appThm
746
ref
trans
trans
appThm
1026
ref
trans
appThm
537
ref
7182
ref
assume
sym
7216
remove
sym
deductAntisym
appThm
7202
remove
assume
eqMp
nil
117
ref
19
ref
7182
ref
appTerm
nil
cons
cons
119
ref
120
ref
7182
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
7183
ref
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
6891
ref
trans
sym
155
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
7315
remove
cons
164
ref
7183
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
7259
remove
164
ref
7310
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
7184
remove
164
ref
7280
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7162
remove
7279
remove
appTerm
nil
cons
cons
119
ref
7165
remove
7
ref
43
ref
7156
remove
7185
remove
23
ref
appTerm
7321
def
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
ref
appTerm
7322
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
7189
remove
119
ref
7322
remove
nil
cons
7323
def
cons
nil
cons
cons
nil
cons
cons
7324
def
136
ref
subst
7324
remove
195
ref
subst
120
ref
"_12815"
3
ref
var
7325
def
7
ref
43
ref
43
ref
883
ref
7325
remove
varTerm
appTerm
7155
ref
appTerm
appTerm
7321
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
ref
appTerm
absTerm
7326
def
7129
remove
appTerm
7327
def
appTerm
refl
7326
ref
539
ref
appTerm
betaConv
appThm
166
ref
7327
remove
betaConv
appThm
7
ref
43
ref
7195
remove
7321
ref
appTerm
appTerm
7277
ref
appTerm
appTerm
7146
remove
appTerm
refl
appThm
trans
7326
remove
refl
7197
remove
appThm
eqMp
sym
235
ref
306
ref
7218
remove
7321
ref
refl
appThm
appThm
7277
ref
refl
appThm
appThm
7153
ref
appThm
sym
nil
117
ref
43
ref
7222
remove
7321
ref
appTerm
7328
def
appTerm
7277
ref
appTerm
nil
cons
7329
def
cons
7244
ref
cons
nil
cons
cons
7330
def
136
ref
subst
7330
remove
195
ref
subst
nil
162
ref
7328
remove
nil
cons
cons
164
ref
7277
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7331
def
178
ref
subst
7331
remove
436
ref
subst
nil
7247
remove
164
ref
7321
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7332
def
178
ref
subst
7332
remove
436
ref
subst
nil
162
ref
7158
remove
nil
cons
cons
164
ref
7274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
nil
117
ref
7220
ref
cons
7244
ref
cons
nil
cons
cons
7333
def
136
ref
subst
7333
remove
195
ref
subst
6924
remove
7125
remove
appTerm
7334
def
betaConv
nil
6964
remove
119
ref
7334
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
6965
remove
212
ref
7148
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
7155
remove
appTerm
78
ref
7130
remove
appTerm
571
ref
appTerm
appTerm
nil
cons
cons
7244
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
7335
def
235
ref
235
ref
7252
remove
appThm
nil
723
ref
13
ref
7167
remove
cons
nil
cons
cons
nil
cons
cons
740
ref
subst
306
ref
3806
ref
7321
remove
assume
7336
def
appThm
311
remove
appThm
694
ref
trans
appThm
537
ref
1353
ref
7336
remove
appThm
207
ref
appThm
274
ref
trans
appThm
744
ref
trans
appThm
746
ref
trans
trans
appThm
1026
remove
trans
appThm
7337
def
7153
remove
appThm
nil
149
ref
7243
ref
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
7249
remove
7258
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
7208
remove
7244
remove
cons
nil
cons
cons
7338
def
136
ref
subst
7338
remove
195
ref
subst
7335
remove
7337
remove
7225
remove
appThm
6891
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
7226
ref
7258
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
7226
remove
164
ref
7220
remove
cons
1064
ref
7243
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7329
remove
cons
7258
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
7260
remove
164
ref
7323
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
eqMp
eqMp
nil
7025
ref
7261
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
7119
remove
nil
7025
remove
7120
remove
1064
ref
7121
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
3825
ref
164
ref
7011
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
6894
ref
6931
ref
6901
remove
nil
cons
cons
"x"
6860
remove
var
7339
def
6942
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
6936
remove
cons
164
ref
6914
remove
cons
nil
cons
7340
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
6934
remove
cons
7340
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
8
ref
6862
remove
constTerm
7339
ref
7
ref
6929
ref
7339
remove
varTerm
appTerm
appTerm
6902
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
6930
remove
appTerm
6902
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
6894
remove
6931
remove
6929
remove
nil
cons
cons
7340
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
1151
remove
cons
7340
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
792
ref
7340
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1083
remove
7340
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
6918
remove
appTerm
nil
cons
cons
119
ref
1084
remove
6902
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
1085
remove
7340
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
1196
remove
7340
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
6909
remove
cons
164
ref
6911
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
6896
remove
appTerm
6908
remove
appTerm
nil
cons
cons
119
ref
17
ref
32
ref
6898
remove
absTerm
7341
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
7341
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
7341
ref
36
ref
appTerm
betaConv
7342
def
appThm
7341
ref
37
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
7342
remove
absThm
appThm
appThm
nil
409
ref
7341
remove
nil
cons
cons
nil
cons
nil
cons
cons
416
ref
subst
eqMp
eqMp
eqMp
nil
59
ref
60
ref
17
ref
6875
remove
appTerm
absTerm
appTerm
thm
nil
261
ref
246
ref
59
ref
60
ref
65
ref
120
ref
3689
ref
appTerm
3653
ref
appTerm
7343
def
appTerm
7344
def
absTerm
7345
def
appTerm
7346
def
absTerm
7347
def
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
7346
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7345
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7344
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
625
ref
119
ref
7343
remove
nil
cons
7348
def
cons
nil
cons
cons
nil
cons
cons
7349
def
136
ref
subst
7349
remove
195
ref
subst
nil
117
ref
3694
ref
cons
7350
def
6454
ref
cons
nil
cons
cons
7351
def
495
ref
subst
7351
ref
136
ref
subst
7351
remove
195
ref
subst
3817
ref
13
ref
6488
ref
6490
ref
14
ref
6491
ref
6494
ref
6495
ref
6498
ref
6499
ref
6503
ref
6504
ref
nil
7350
remove
6428
ref
cons
nil
cons
cons
187
ref
subst
nil
2107
ref
6427
ref
cons
2106
ref
3694
ref
cons
nil
cons
cons
nil
cons
cons
2106
ref
120
ref
7
ref
2111
ref
appTerm
2109
ref
appTerm
7352
def
appTerm
7
ref
4816
remove
appTerm
4817
ref
appTerm
7353
def
appTerm
7354
def
absTerm
7355
def
2111
ref
appTerm
7356
def
betaConv
2107
ref
280
ref
7355
ref
appTerm
7357
def
absTerm
7358
def
2109
ref
appTerm
7359
def
betaConv
2126
ref
2107
ref
2126
remove
2106
ref
7354
remove
assume
sym
120
ref
7353
remove
appTerm
7352
remove
appTerm
7360
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
280
ref
2107
ref
280
ref
2106
ref
7360
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
117
ref
280
ref
7358
ref
appTerm
nil
cons
cons
119
ref
7359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7358
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7357
remove
nil
cons
cons
119
ref
7356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7355
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7361
def
subst
sym
nil
6513
remove
119
ref
19
ref
3689
ref
appTerm
nil
cons
7362
def
cons
nil
cons
cons
nil
cons
cons
7363
def
136
ref
subst
7363
remove
195
ref
subst
537
ref
2582
ref
4815
remove
subst
appThm
nil
2106
ref
4773
ref
2475
ref
appTerm
nil
cons
cons
2107
ref
2515
remove
cons
nil
cons
cons
nil
cons
cons
4824
remove
subst
1675
ref
2582
remove
4835
ref
subst
appThm
nil
32
ref
2558
remove
cons
3535
ref
cons
nil
cons
cons
4835
ref
subst
appThm
trans
trans
sym
32
ref
43
ref
2476
ref
36
ref
appTerm
appTerm
6608
remove
appTerm
absTerm
7364
def
6610
ref
appTerm
betaConv
sym
nil
6536
remove
3666
remove
cons
nil
cons
cons
2394
ref
3907
ref
subst
7365
def
subst
sym
nil
2391
ref
2941
ref
3752
remove
2947
ref
6517
ref
appTerm
7366
def
appTerm
7367
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2941
ref
nil
149
ref
7367
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
6798
remove
119
ref
7366
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
495
ref
subst
2941
ref
6742
ref
7366
ref
appTerm
7368
def
absTerm
7369
def
2942
ref
appTerm
7370
def
betaConv
166
ref
2406
ref
2941
ref
6742
ref
refl
2941
ref
7366
ref
absTerm
7371
def
2942
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
236
ref
13
ref
631
ref
7371
ref
248
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
"p"
102
ref
var
7372
def
7371
remove
nil
cons
cons
nil
cons
nil
cons
cons
60
ref
120
ref
104
ref
2941
ref
6742
ref
7372
ref
varTerm
7373
def
2942
ref
appTerm
7374
def
appTerm
absTerm
appTerm
appTerm
12
ref
13
ref
630
ref
7373
ref
248
ref
appTerm
7375
def
appTerm
absTerm
appTerm
appTerm
absTerm
7376
def
63
ref
appTerm
7377
def
betaConv
246
ref
59
ref
7376
ref
appTerm
7378
def
absTerm
7379
def
247
ref
appTerm
7380
def
betaConv
7372
ref
257
ref
7379
ref
appTerm
7381
def
absTerm
7382
def
7373
ref
appTerm
7383
def
betaConv
nil
5969
ref
7382
ref
appTerm
7384
def
axiom
nil
117
ref
7384
remove
nil
cons
cons
119
ref
7383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5977
ref
5978
ref
7382
remove
nil
cons
cons
5979
remove
7373
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7381
remove
nil
cons
cons
119
ref
7380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
7379
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7378
remove
nil
cons
cons
119
ref
7377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
7376
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7385
def
subst
eqMp
sym
nil
188
ref
4629
ref
7
ref
6559
ref
appTerm
7386
def
2340
ref
6561
ref
appTerm
7387
def
6517
ref
appTerm
7388
def
appTerm
7389
def
absTerm
7390
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
4629
ref
nil
149
ref
7389
remove
nil
cons
7391
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
6579
remove
119
ref
7391
ref
cons
nil
cons
7392
def
cons
nil
cons
cons
7393
def
136
ref
subst
7393
remove
195
ref
subst
nil
117
ref
6566
remove
cons
7394
def
119
ref
7388
remove
nil
cons
7395
def
cons
nil
cons
cons
nil
cons
cons
7396
def
136
ref
subst
7396
remove
195
ref
subst
nil
6528
ref
2941
ref
6583
ref
cons
nil
cons
7397
def
cons
nil
cons
cons
3768
ref
subst
1198
ref
13
ref
6572
ref
refl
740
ref
appThm
absThm
appThm
trans
sym
6591
remove
eqMp
eqMp
nil
6567
ref
164
ref
7395
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
6592
remove
164
ref
7391
ref
cons
nil
cons
7398
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
6594
remove
7392
remove
cons
nil
cons
cons
7399
def
136
ref
subst
7399
remove
195
ref
subst
120
ref
"_11787"
9
ref
var
7400
def
7
ref
78
ref
7400
remove
varTerm
7401
def
appTerm
63
ref
appTerm
appTerm
2340
ref
247
ref
7401
remove
appTerm
appTerm
6517
ref
appTerm
appTerm
absTerm
7402
def
4630
ref
appTerm
7403
def
appTerm
refl
7402
remove
25
ref
appTerm
betaConv
appThm
166
ref
7403
remove
betaConv
appThm
6998
ref
2340
ref
249
ref
appTerm
7404
def
6517
ref
appTerm
7405
def
appTerm
refl
appThm
trans
7390
remove
refl
6596
remove
appThm
eqMp
sym
nil
7010
ref
119
ref
7405
remove
nil
cons
7406
def
cons
nil
cons
cons
nil
cons
cons
7407
def
136
ref
subst
7407
remove
195
ref
subst
nil
6528
remove
2941
ref
3834
remove
cons
nil
cons
cons
nil
cons
cons
3768
ref
subst
1198
ref
13
ref
43
ref
108
ref
249
ref
appTerm
7408
def
248
ref
appTerm
appTerm
7409
def
refl
740
ref
appThm
absThm
appThm
trans
sym
13
ref
7409
remove
730
remove
appTerm
absTerm
7410
def
23
ref
appTerm
betaConv
sym
306
ref
7408
ref
refl
6597
ref
appThm
3836
ref
trans
appThm
6600
remove
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
7410
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
3825
ref
164
ref
7406
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6589
ref
7398
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
6602
remove
nil
6589
remove
6603
ref
1064
ref
7391
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
nil
117
ref
104
ref
7369
ref
appTerm
nil
cons
cons
119
ref
7370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
7369
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7368
remove
nil
cons
cons
119
ref
7
ref
7366
remove
appTerm
7411
def
3751
ref
appTerm
7412
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
2941
ref
7412
remove
absTerm
7413
def
2942
ref
appTerm
7414
def
betaConv
166
ref
2406
ref
2941
ref
7411
remove
refl
2941
ref
3751
remove
absTerm
7415
def
2942
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
236
ref
13
ref
7
ref
727
remove
appTerm
refl
7415
ref
248
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
7372
ref
7415
remove
nil
cons
cons
6529
ref
cons
nil
cons
cons
7385
remove
subst
eqMp
236
ref
13
ref
235
ref
740
ref
appThm
2542
ref
refl
appThm
absThm
appThm
trans
sym
nil
188
ref
4629
ref
7
ref
6560
remove
6577
remove
appTerm
7416
def
appTerm
7387
remove
2474
ref
appTerm
7417
def
appTerm
7418
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
4629
ref
nil
149
ref
7418
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7416
remove
nil
cons
7419
def
cons
119
ref
7417
remove
nil
cons
7420
def
cons
nil
cons
cons
nil
cons
cons
7421
def
136
ref
subst
7421
remove
195
ref
subst
nil
6567
ref
6603
remove
nil
cons
cons
nil
cons
cons
178
ref
subst
nil
7397
remove
nil
cons
cons
3768
ref
subst
sym
13
ref
6572
remove
80
ref
appTerm
absTerm
7422
def
4630
ref
appTerm
betaConv
sym
6585
remove
6587
ref
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
7422
ref
nil
cons
cons
4674
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
7423
def
eqMp
proveHyp
eqMp
nil
162
ref
7419
remove
cons
164
ref
7420
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
104
ref
7413
ref
appTerm
nil
cons
cons
119
ref
7414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
7413
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
120
ref
"_11785"
2314
ref
var
7424
def
2469
ref
2470
ref
7424
remove
varTerm
appTerm
appTerm
6610
ref
appTerm
absTerm
7425
def
2474
ref
appTerm
7426
def
appTerm
refl
7425
ref
6517
ref
appTerm
betaConv
appThm
166
ref
7426
remove
betaConv
appThm
6611
ref
refl
appThm
trans
7425
remove
refl
6444
remove
6517
ref
appTerm
assume
appThm
eqMp
sym
3205
remove
43
ref
6524
remove
appTerm
5088
ref
6517
remove
appTerm
2472
ref
3206
remove
appTerm
726
ref
appTerm
appTerm
appTerm
absTerm
7427
def
247
ref
appTerm
betaConv
sym
306
ref
6522
remove
appThm
nil
2545
ref
6535
remove
cons
nil
cons
7428
def
nil
cons
cons
6831
remove
subst
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
260
ref
261
ref
7427
ref
nil
cons
cons
263
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
2334
ref
7427
remove
appTerm
nil
cons
cons
119
ref
6611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
454
ref
6527
ref
cons
7428
remove
cons
nil
cons
cons
454
ref
7
ref
2334
ref
246
ref
5092
remove
absTerm
7429
def
appTerm
7430
def
appTerm
7431
def
5095
ref
appTerm
7432
def
absTerm
7433
def
455
ref
appTerm
7434
def
betaConv
2545
ref
59
ref
7433
ref
appTerm
7435
def
absTerm
7436
def
5089
ref
appTerm
7437
def
betaConv
5178
remove
nil
117
ref
5179
ref
nil
cons
7438
def
cons
7439
def
119
ref
2365
ref
7436
ref
appTerm
nil
cons
7440
def
cons
nil
cons
cons
nil
cons
cons
7441
def
187
ref
subst
proveHyp
7441
ref
136
ref
subst
7441
remove
195
ref
subst
nil
2381
ref
7436
remove
nil
cons
cons
7442
def
nil
cons
nil
cons
cons
2386
ref
subst
2545
ref
nil
149
ref
7435
remove
nil
cons
7443
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7433
remove
nil
cons
cons
7444
def
nil
cons
nil
cons
cons
623
ref
subst
454
ref
nil
149
ref
7432
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7430
remove
nil
cons
7445
def
cons
7446
def
5110
ref
cons
nil
cons
cons
7447
def
136
ref
subst
7447
remove
195
ref
subst
nil
7439
ref
5110
remove
cons
nil
cons
cons
7448
def
187
ref
subst
nil
7446
remove
119
ref
7
ref
5179
remove
appTerm
5095
remove
appTerm
7449
def
nil
cons
7450
def
cons
nil
cons
7451
def
cons
nil
cons
cons
187
ref
subst
nil
261
ref
246
ref
7
ref
7429
ref
247
ref
appTerm
7452
def
appTerm
7449
ref
appTerm
7453
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
7453
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7452
ref
nil
cons
7454
def
cons
7451
ref
cons
nil
cons
cons
7455
def
136
ref
subst
7455
remove
195
ref
subst
7452
ref
betaConv
7452
remove
assume
eqMp
nil
5108
remove
7451
remove
cons
nil
cons
cons
7456
def
187
ref
subst
proveHyp
7456
ref
136
ref
subst
7456
remove
195
ref
subst
7448
ref
136
ref
subst
7448
remove
195
ref
subst
5111
remove
187
ref
subst
5097
remove
455
ref
appTerm
7457
def
betaConv
5099
remove
5089
remove
appTerm
7458
def
betaConv
5101
remove
247
ref
appTerm
7459
def
betaConv
nil
7439
remove
119
ref
7459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
260
ref
5102
remove
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5103
remove
cons
119
ref
7458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
5104
remove
2402
ref
5122
remove
cons
nil
cons
7460
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
5105
remove
cons
119
ref
7457
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
5106
remove
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7438
remove
cons
7461
def
5177
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
5176
remove
164
ref
7450
remove
cons
nil
cons
7462
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7454
remove
cons
7462
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
257
ref
262
ref
7
ref
7429
ref
2436
ref
appTerm
appTerm
7449
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7431
remove
7449
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
7429
remove
nil
cons
cons
7462
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7445
remove
cons
5177
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7461
remove
164
ref
7440
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
7440
remove
cons
119
ref
7437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
7442
remove
7460
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7443
remove
cons
119
ref
7434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
7444
remove
3897
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
proveHyp
nil
117
ref
2476
remove
6610
remove
appTerm
nil
cons
cons
119
ref
6614
remove
227
ref
appTerm
nil
cons
cons
nil
cons
7463
def
cons
nil
cons
cons
195
ref
subst
proveHyp
306
ref
nil
4570
ref
6529
remove
cons
nil
cons
cons
7464
def
4323
remove
subst
306
ref
6521
ref
nil
149
ref
4313
ref
571
ref
appTerm
63
ref
appTerm
7465
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
60
ref
7465
remove
absTerm
7466
def
63
ref
appTerm
7467
def
betaConv
13
ref
59
ref
7466
ref
appTerm
7468
def
absTerm
7469
def
23
ref
appTerm
7470
def
betaConv
nil
12
ref
7469
ref
appTerm
7471
def
axiom
nil
117
ref
7471
remove
nil
cons
cons
119
ref
7470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7469
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7468
remove
nil
cons
cons
119
ref
7467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
7466
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
appThm
19
ref
465
ref
726
ref
appTerm
63
ref
appTerm
appTerm
7472
def
refl
appThm
nil
149
ref
7472
remove
nil
cons
cons
nil
cons
nil
cons
cons
7473
def
428
ref
subst
trans
trans
appThm
597
ref
appThm
7473
remove
2422
ref
subst
trans
sym
537
ref
7464
remove
3907
ref
subst
appThm
166
ref
537
ref
236
ref
13
ref
13
ref
728
remove
80
ref
appTerm
7474
def
absTerm
7475
def
23
ref
appTerm
betaConv
7476
def
absThm
appThm
appThm
appThm
1198
ref
13
ref
537
ref
7476
remove
appThm
absThm
appThm
appThm
nil
197
ref
7475
remove
nil
cons
cons
nil
cons
nil
cons
cons
1735
ref
subst
eqMp
trans
sym
13
ref
19
ref
7474
remove
appTerm
absTerm
7477
def
25
ref
appTerm
betaConv
sym
537
ref
166
ref
6521
ref
740
remove
subst
6852
ref
537
ref
7254
ref
appThm
744
ref
trans
appThm
746
remove
trans
trans
appThm
3831
ref
appThm
289
ref
1111
ref
subst
744
ref
trans
trans
appThm
566
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
7477
remove
nil
cons
cons
266
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
nil
117
ref
43
ref
4311
remove
726
remove
appTerm
63
ref
appTerm
appTerm
64
ref
appTerm
nil
cons
cons
7463
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
5716
remove
4303
remove
6527
remove
cons
nil
cons
cons
nil
cons
cons
4687
ref
4305
remove
appTerm
7478
def
betaConv
4689
ref
4307
remove
appTerm
7479
def
betaConv
4686
remove
nil
117
ref
4690
remove
nil
cons
cons
119
ref
7479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4689
remove
nil
cons
cons
513
ref
4308
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
4688
remove
nil
cons
cons
119
ref
7478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
4687
remove
nil
cons
cons
4414
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
210
ref
211
ref
7364
ref
nil
cons
cons
6678
remove
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
ref
7364
remove
appTerm
nil
cons
cons
119
ref
2594
remove
227
ref
appTerm
nil
cons
7480
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
6213
remove
2566
remove
cons
nil
cons
cons
6726
remove
subst
eqMp
nil
162
ref
2568
remove
227
ref
appTerm
2475
remove
appTerm
nil
cons
cons
164
ref
7480
remove
cons
nil
cons
cons
nil
cons
cons
1079
remove
sym
7481
def
nil
283
ref
149
ref
7
ref
552
remove
152
ref
appTerm
7482
def
appTerm
7
ref
1065
remove
152
ref
appTerm
7483
def
appTerm
152
remove
appTerm
7484
def
appTerm
7485
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1186
remove
subst
7486
def
149
ref
nil
149
ref
7485
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
7487
def
nil
117
ref
7482
ref
nil
cons
7488
def
cons
119
ref
7484
remove
nil
cons
7489
def
cons
nil
cons
cons
nil
cons
cons
7490
def
136
ref
subst
7491
def
7490
remove
195
ref
subst
7492
def
nil
117
ref
7483
ref
nil
cons
7493
def
cons
119
ref
285
ref
cons
nil
cons
7494
def
cons
nil
cons
cons
7495
def
136
ref
subst
7496
def
7495
remove
195
ref
subst
7497
def
nil
117
ref
924
remove
cons
7494
ref
cons
nil
cons
cons
187
ref
subst
7483
remove
assume
eqMp
eqMp
nil
162
ref
7493
remove
cons
164
ref
285
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
7498
def
deductAntisym
eqMp
eqMp
nil
162
ref
7488
remove
cons
164
ref
7489
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
7499
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
7500
def
subst
proveHyp
eqMp
eqMp
nil
6512
remove
164
ref
7362
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
6728
ref
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
3694
ref
cons
6730
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
3689
remove
appTerm
3653
ref
appTerm
nil
cons
cons
119
ref
3740
remove
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
3839
ref
136
ref
subst
3839
remove
195
ref
subst
3846
ref
eqMp
nil
3683
ref
164
ref
3694
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
589
ref
164
ref
7348
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
257
ref
7347
remove
appTerm
thm
nil
261
ref
246
ref
3843
remove
absTerm
7501
def
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
3844
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
3842
remove
eqMp
absThm
eqMp
nil
257
ref
7501
remove
appTerm
thm
nil
1048
remove
1034
ref
7
ref
1037
remove
59
ref
60
ref
7
ref
498
ref
519
ref
appTerm
7502
def
appTerm
451
ref
13
ref
729
ref
7
ref
1035
ref
571
ref
appTerm
7503
def
appTerm
1038
ref
appTerm
7504
def
appTerm
7505
def
absTerm
7506
def
appTerm
7507
def
appTerm
7508
def
absTerm
7509
def
appTerm
7510
def
appTerm
7511
def
appTerm
1041
ref
appTerm
7512
def
absTerm
7513
def
nil
cons
cons
nil
cons
nil
cons
cons
1974
remove
subst
1034
ref
nil
149
ref
7512
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7511
remove
nil
cons
7514
def
cons
119
ref
1041
remove
nil
cons
7515
def
cons
nil
cons
cons
nil
cons
cons
7516
def
136
ref
subst
7516
remove
195
ref
subst
nil
162
ref
1036
ref
nil
cons
7517
def
cons
164
ref
7510
remove
nil
cons
7518
def
cons
nil
cons
cons
nil
cons
cons
7519
def
178
ref
subst
7519
remove
436
ref
subst
nil
512
ref
1040
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
1039
ref
nil
cons
7520
def
cons
nil
cons
nil
cons
cons
7521
def
156
ref
subst
nil
512
ref
60
ref
65
ref
7
ref
897
ref
appTerm
1038
ref
appTerm
7522
def
appTerm
7523
def
absTerm
7524
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7523
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
625
ref
119
ref
7522
ref
nil
cons
7525
def
cons
nil
cons
7526
def
cons
nil
cons
cons
7527
def
136
ref
subst
7527
remove
195
ref
subst
1053
remove
nil
1054
remove
7526
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
625
ref
119
ref
7
ref
950
ref
appTerm
7522
ref
appTerm
7528
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
nil
117
ref
993
remove
cons
7526
remove
cons
nil
cons
cons
7529
def
136
ref
subst
7529
remove
195
ref
subst
120
ref
"_11568"
3
ref
var
7530
def
7
ref
7530
remove
varTerm
appTerm
1038
ref
appTerm
absTerm
7531
def
897
remove
appTerm
7532
def
appTerm
refl
7531
ref
518
remove
appTerm
betaConv
appThm
166
ref
7532
remove
betaConv
appThm
1567
remove
1038
ref
appTerm
refl
appThm
trans
7531
remove
refl
950
remove
assume
appThm
eqMp
sym
nil
1088
ref
119
ref
1038
ref
nil
cons
7533
def
cons
nil
cons
7534
def
cons
nil
cons
cons
7535
def
136
ref
subst
7535
remove
195
ref
subst
120
ref
"_11570"
49
ref
var
7536
def
1035
ref
7536
remove
varTerm
appTerm
absTerm
7537
def
63
ref
appTerm
7538
def
appTerm
refl
7537
ref
56
ref
appTerm
betaConv
appThm
166
ref
7538
remove
betaConv
appThm
1036
ref
refl
appThm
trans
7537
remove
refl
1091
remove
appThm
eqMp
7539
def
sym
1036
remove
assume
7540
def
eqMp
eqMp
nil
541
ref
164
ref
7533
ref
cons
nil
cons
7541
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
994
remove
164
ref
7525
ref
cons
nil
cons
7542
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
498
ref
7528
remove
appTerm
nil
cons
cons
119
ref
7
ref
951
remove
appTerm
7522
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1069
ref
7525
remove
cons
6663
remove
3391
ref
cons
cons
nil
cons
cons
6302
ref
subst
eqMp
eqMp
eqMp
nil
589
ref
7542
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
7524
remove
appTerm
7543
def
nil
cons
cons
119
ref
17
ref
32
ref
7
ref
59
ref
60
ref
65
ref
7
ref
500
ref
appTerm
1038
ref
appTerm
appTerm
absTerm
7544
def
appTerm
7545
def
appTerm
59
ref
60
ref
65
ref
7
ref
529
remove
appTerm
1038
ref
appTerm
7546
def
appTerm
7547
def
absTerm
7548
def
appTerm
7549
def
appTerm
7550
def
absTerm
7551
def
appTerm
7552
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
211
ref
7551
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
7550
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7545
ref
nil
cons
7553
def
cons
7554
def
119
ref
7549
remove
nil
cons
7555
def
cons
nil
cons
cons
nil
cons
cons
7556
def
136
ref
subst
7556
remove
195
ref
subst
nil
512
ref
7548
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7547
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
625
ref
119
ref
7546
ref
nil
cons
7557
def
cons
nil
cons
7558
def
cons
nil
cons
cons
7559
def
136
ref
subst
7559
remove
195
ref
subst
nil
528
remove
7558
ref
cons
nil
cons
cons
7560
def
136
ref
subst
7560
remove
195
ref
subst
7509
ref
63
ref
appTerm
7561
def
betaConv
nil
117
ref
7518
remove
cons
119
ref
7561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
7509
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7508
ref
nil
cons
cons
7558
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
625
ref
119
ref
527
remove
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
519
remove
assume
eqMp
nil
117
ref
7502
ref
nil
cons
cons
7562
def
119
ref
7
ref
7507
ref
appTerm
7546
ref
appTerm
7563
def
nil
cons
cons
nil
cons
7564
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
13
ref
7
ref
7506
ref
23
ref
appTerm
7565
def
appTerm
7546
ref
appTerm
7566
def
absTerm
7567
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
7566
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7565
ref
nil
cons
7568
def
cons
7558
ref
cons
nil
cons
cons
7569
def
136
ref
subst
7569
remove
195
ref
subst
7565
ref
betaConv
7565
remove
assume
eqMp
nil
117
ref
7505
remove
nil
cons
7570
def
cons
7558
ref
cons
nil
cons
cons
7571
def
187
ref
subst
proveHyp
7571
ref
136
ref
subst
7571
remove
195
ref
subst
nil
792
ref
164
ref
7504
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7572
def
178
ref
subst
7572
remove
436
ref
subst
689
remove
nil
690
remove
7558
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
675
ref
119
ref
7
ref
681
remove
appTerm
7546
ref
appTerm
7573
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
nil
698
remove
7558
ref
cons
nil
cons
cons
7574
def
136
ref
subst
7574
remove
195
ref
subst
235
ref
238
ref
703
remove
appThm
1096
ref
appThm
appThm
1038
ref
refl
7575
def
appThm
sym
712
remove
nil
717
remove
119
ref
7
ref
715
remove
37
ref
appTerm
appTerm
1038
ref
appTerm
7576
def
nil
cons
7577
def
cons
nil
cons
7578
def
cons
nil
cons
cons
187
ref
subst
proveHyp
768
remove
7576
remove
refl
appThm
sym
nil
769
remove
7578
remove
cons
nil
cons
cons
7579
def
136
ref
subst
7579
remove
195
ref
subst
120
ref
"_11572"
0
ref
var
7580
def
7
ref
31
ref
7580
remove
varTerm
appTerm
37
ref
appTerm
appTerm
1038
ref
appTerm
absTerm
7581
def
714
remove
appTerm
7582
def
appTerm
refl
7581
ref
716
ref
appTerm
betaConv
appThm
166
ref
7582
remove
betaConv
appThm
7
ref
31
ref
716
remove
appTerm
37
ref
appTerm
appTerm
1038
ref
appTerm
refl
appThm
trans
7581
remove
refl
774
remove
appThm
eqMp
sym
235
ref
776
remove
3543
remove
subst
appThm
7575
remove
appThm
sym
nil
117
ref
865
ref
cons
7534
ref
cons
nil
cons
cons
7583
def
136
ref
subst
7583
remove
195
ref
subst
7544
ref
571
remove
appTerm
7584
def
betaConv
nil
7554
remove
119
ref
7584
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
7544
remove
nil
cons
cons
711
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
713
remove
7
ref
861
remove
appTerm
7503
ref
appTerm
appTerm
nil
cons
cons
119
ref
7503
ref
nil
cons
7585
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
721
remove
235
ref
238
ref
875
remove
appThm
1101
ref
appThm
2458
remove
trans
appThm
7503
remove
refl
7586
def
appThm
nil
149
ref
7585
ref
cons
nil
cons
nil
cons
cons
7587
def
305
ref
subst
7588
def
trans
appThm
7588
remove
trans
appThm
7586
remove
appThm
7587
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
117
ref
7585
remove
cons
7534
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
7504
remove
assume
eqMp
eqMp
nil
162
ref
865
remove
cons
7541
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
789
remove
164
ref
7577
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
790
remove
164
ref
7557
ref
cons
nil
cons
7589
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
729
ref
7573
remove
appTerm
nil
cons
cons
119
ref
7
ref
682
remove
appTerm
7546
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1069
ref
7557
ref
cons
7590
def
119
ref
696
remove
cons
675
ref
nil
cons
7591
def
cons
cons
nil
cons
cons
6302
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
7570
remove
cons
7589
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7568
remove
cons
7589
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
7567
remove
appTerm
nil
cons
cons
7564
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7506
remove
nil
cons
cons
7589
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
nil
117
ref
43
ref
7502
remove
appTerm
7563
remove
appTerm
nil
cons
cons
119
ref
7
ref
7508
remove
appTerm
7546
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
7590
remove
119
ref
7507
remove
nil
cons
cons
7562
remove
nil
cons
cons
cons
nil
cons
cons
6302
remove
subst
eqMp
eqMp
eqMp
nil
1086
remove
7589
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1088
remove
7558
remove
cons
nil
cons
cons
7592
def
136
ref
subst
7592
remove
195
ref
subst
235
ref
1097
remove
appThm
7539
remove
nil
149
ref
7517
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
7540
remove
eqMp
trans
appThm
289
ref
1062
ref
subst
7593
def
trans
sym
155
ref
eqMp
eqMp
nil
541
ref
7589
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1121
remove
nil
541
remove
1122
remove
1064
ref
7557
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
589
ref
7589
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
7553
remove
cons
164
ref
7555
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
7543
remove
appTerm
7552
remove
appTerm
nil
cons
cons
119
ref
17
ref
32
ref
7545
remove
absTerm
7594
def
appTerm
nil
cons
7595
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
7594
ref
84
ref
appTerm
betaConv
appThm
237
ref
32
ref
235
ref
7594
ref
36
ref
appTerm
betaConv
7596
def
appThm
7594
ref
37
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
237
ref
32
ref
7596
remove
absThm
appThm
appThm
nil
409
remove
7594
ref
nil
cons
7597
def
cons
nil
cons
nil
cons
cons
416
remove
subst
eqMp
eqMp
1945
remove
7
ref
62
ref
1946
ref
appTerm
appTerm
7
ref
31
ref
221
ref
1946
ref
appTerm
appTerm
227
ref
appTerm
appTerm
1035
remove
1946
remove
appTerm
appTerm
appTerm
absTerm
7598
def
63
ref
appTerm
7599
def
betaConv
7594
remove
227
ref
appTerm
7600
def
betaConv
nil
117
ref
7595
remove
cons
119
ref
7600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
7597
remove
cons
896
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
59
ref
7598
ref
appTerm
nil
cons
cons
119
ref
7599
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
7598
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
65
ref
3858
remove
1038
remove
appTerm
appTerm
nil
cons
cons
119
ref
7520
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
299
ref
nil
117
ref
7533
remove
cons
896
ref
cons
nil
cons
cons
3869
remove
subst
appThm
appThm
1039
remove
refl
appThm
7521
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
7514
remove
cons
164
ref
7515
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
1045
remove
7513
remove
appTerm
thm
nil
261
ref
246
ref
59
ref
60
ref
17
ref
32
ref
3715
ref
120
ref
3656
ref
appTerm
496
ref
appTerm
7601
def
appTerm
7602
def
absTerm
7603
def
appTerm
7604
def
absTerm
7605
def
appTerm
7606
def
absTerm
7607
def
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
7606
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7605
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7604
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
7603
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
7602
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
3691
ref
119
ref
7601
remove
nil
cons
7608
def
cons
nil
cons
cons
nil
cons
cons
7609
def
136
ref
subst
7609
remove
195
ref
subst
166
ref
3669
remove
appThm
516
ref
appThm
sym
nil
3691
ref
119
ref
6531
remove
64
ref
appTerm
7610
def
nil
cons
7611
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
60
ref
3715
remove
7610
ref
appTerm
absTerm
7612
def
63
ref
appTerm
7613
def
betaConv
246
ref
59
ref
7612
ref
appTerm
7614
def
absTerm
7615
def
247
ref
appTerm
7616
def
betaConv
nil
257
ref
7615
ref
appTerm
7617
def
axiom
nil
117
ref
7617
remove
nil
cons
cons
119
ref
7616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
7615
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7614
remove
nil
cons
cons
119
ref
7613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
7612
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
nil
117
ref
7611
remove
cons
119
ref
65
ref
120
ref
3672
remove
appTerm
500
remove
appTerm
7618
def
appTerm
7619
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
625
ref
119
ref
7618
remove
nil
cons
7620
def
cons
nil
cons
cons
nil
cons
cons
7621
def
136
ref
subst
7621
remove
195
ref
subst
238
ref
3846
remove
appThm
1101
ref
appThm
eqMp
nil
589
ref
164
ref
7620
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
43
ref
7610
remove
appTerm
7619
remove
appTerm
nil
cons
cons
119
ref
120
ref
3673
remove
appTerm
501
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2018
ref
2455
remove
cons
4066
remove
"b'"
3
ref
var
7622
def
3685
remove
cons
1553
remove
2532
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
117
ref
120
ref
1555
ref
appTerm
7623
def
539
ref
appTerm
7624
def
nil
cons
7625
def
cons
119
ref
7
ref
43
ref
7623
ref
1544
ref
appTerm
appTerm
4070
remove
120
ref
7622
remove
varTerm
7626
def
appTerm
7627
def
2039
ref
appTerm
7628
def
appTerm
7629
def
appTerm
appTerm
120
ref
43
ref
1555
ref
appTerm
7626
ref
appTerm
appTerm
2211
ref
appTerm
appTerm
nil
cons
7630
def
cons
nil
cons
7631
def
cons
nil
cons
cons
7632
def
136
ref
subst
7632
remove
195
ref
subst
120
ref
"_11775"
3
ref
var
7633
def
7
ref
43
ref
120
ref
7633
remove
varTerm
7634
def
appTerm
1544
ref
appTerm
appTerm
7629
ref
appTerm
appTerm
120
ref
43
ref
7634
remove
appTerm
7626
ref
appTerm
appTerm
2211
ref
appTerm
appTerm
absTerm
7635
def
1555
ref
appTerm
7636
def
appTerm
refl
7637
def
7635
ref
539
ref
appTerm
betaConv
appThm
166
ref
7636
remove
betaConv
appThm
7638
def
7
ref
43
ref
558
remove
1544
ref
appTerm
appTerm
7629
ref
appTerm
appTerm
120
ref
1103
ref
7626
ref
appTerm
appTerm
2211
ref
appTerm
appTerm
refl
appThm
trans
7635
remove
refl
7639
def
7624
remove
assume
appThm
eqMp
sym
235
ref
306
ref
2099
ref
1111
ref
subst
appThm
7629
ref
refl
7640
def
appThm
appThm
166
ref
nil
149
ref
7626
ref
nil
cons
cons
nil
cons
nil
cons
cons
7641
def
1107
ref
subst
appThm
2211
ref
refl
7642
def
appThm
nil
149
ref
2211
ref
nil
cons
cons
nil
cons
nil
cons
cons
1111
remove
subst
trans
appThm
sym
nil
2038
ref
119
ref
7
ref
2081
remove
7629
ref
appTerm
appTerm
2212
remove
appTerm
nil
cons
7643
def
cons
nil
cons
7644
def
cons
nil
cons
cons
7645
def
136
ref
subst
7645
remove
195
ref
subst
120
ref
"_11783"
3
ref
var
7646
def
7
ref
43
ref
19
ref
7646
remove
varTerm
7647
def
appTerm
appTerm
7
ref
7647
ref
appTerm
7628
ref
appTerm
appTerm
appTerm
19
ref
43
ref
7647
remove
appTerm
2039
ref
appTerm
appTerm
appTerm
absTerm
7648
def
1544
ref
appTerm
7649
def
appTerm
refl
7650
def
7648
ref
539
ref
appTerm
betaConv
appThm
166
ref
7649
remove
betaConv
appThm
7651
def
7
ref
1752
remove
553
ref
7628
ref
appTerm
7652
def
appTerm
appTerm
2223
remove
appTerm
refl
appThm
trans
7648
remove
refl
7653
def
2054
ref
appThm
eqMp
sym
235
ref
1755
remove
nil
149
ref
7628
ref
nil
cons
cons
nil
cons
nil
cons
cons
7654
def
1062
ref
subst
appThm
429
ref
trans
appThm
2226
remove
appThm
1381
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
ref
164
ref
7643
ref
cons
nil
cons
7655
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
ref
7644
remove
cons
nil
cons
cons
7656
def
136
ref
subst
7656
remove
195
ref
subst
7650
remove
"_11781"
3
ref
var
7657
def
7
ref
43
ref
19
ref
7657
remove
varTerm
7658
def
appTerm
appTerm
7
ref
7658
ref
appTerm
7628
ref
appTerm
appTerm
appTerm
19
ref
43
ref
7658
remove
appTerm
2039
ref
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
7651
remove
7
ref
1761
remove
301
ref
7628
ref
appTerm
7659
def
appTerm
appTerm
2232
remove
appTerm
refl
appThm
trans
7653
remove
2070
ref
appThm
eqMp
sym
235
ref
1763
remove
7654
ref
305
ref
subst
7660
def
appThm
7654
ref
1107
ref
subst
trans
appThm
2234
remove
appThm
2059
remove
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2072
ref
7655
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
ref
nil
2072
ref
2076
ref
1064
ref
7643
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
7625
ref
cons
164
ref
7630
ref
cons
nil
cons
7661
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7623
remove
141
ref
appTerm
7662
def
nil
cons
7663
def
cons
7631
remove
cons
nil
cons
cons
7664
def
136
ref
subst
7664
remove
195
ref
subst
7637
remove
"_11773"
3
ref
var
7665
def
7
ref
43
ref
120
ref
7665
remove
varTerm
7666
def
appTerm
1544
ref
appTerm
appTerm
7629
ref
appTerm
appTerm
120
ref
43
ref
7666
remove
appTerm
7626
ref
appTerm
appTerm
2211
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
7638
remove
7
ref
43
ref
959
remove
1544
ref
appTerm
appTerm
7629
ref
appTerm
appTerm
120
ref
424
ref
7626
ref
appTerm
appTerm
2211
ref
appTerm
appTerm
refl
appThm
trans
7639
remove
7662
remove
assume
appThm
eqMp
sym
235
ref
306
ref
2099
remove
963
ref
subst
appThm
7640
remove
appThm
appThm
166
ref
7641
ref
428
ref
subst
appThm
7642
remove
appThm
appThm
sym
nil
2038
ref
119
ref
7
ref
2210
remove
7629
remove
appTerm
appTerm
7627
ref
2211
ref
appTerm
appTerm
nil
cons
7667
def
cons
nil
cons
7668
def
cons
nil
cons
cons
7669
def
136
ref
subst
7669
remove
195
ref
subst
120
ref
"_11779"
3
ref
var
7670
def
7
ref
43
ref
7670
remove
varTerm
7671
def
appTerm
7672
def
7
ref
7671
remove
appTerm
7628
ref
appTerm
appTerm
appTerm
7627
ref
7672
remove
2039
ref
appTerm
appTerm
appTerm
absTerm
7673
def
1544
ref
appTerm
7674
def
appTerm
refl
7675
def
7673
ref
539
ref
appTerm
betaConv
appThm
166
ref
7674
remove
betaConv
appThm
7676
def
7
ref
1103
ref
7652
ref
appTerm
appTerm
7627
ref
2222
ref
appTerm
appTerm
refl
appThm
trans
7673
remove
refl
7677
def
2054
ref
appThm
eqMp
sym
235
ref
nil
149
ref
7652
remove
nil
cons
cons
nil
cons
nil
cons
cons
1107
ref
subst
appThm
7627
ref
refl
7678
def
2225
ref
appThm
7641
remove
984
remove
subst
trans
appThm
nil
149
ref
19
ref
7626
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
ref
164
ref
7667
ref
cons
nil
cons
7679
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
ref
7668
remove
cons
nil
cons
cons
7680
def
136
ref
subst
7680
remove
195
ref
subst
7675
remove
"_11777"
3
ref
var
7681
def
7
ref
43
ref
7681
remove
varTerm
7682
def
appTerm
7683
def
7
ref
7682
remove
appTerm
7628
remove
appTerm
appTerm
appTerm
7627
ref
7683
remove
2039
ref
appTerm
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
7676
remove
7
ref
424
ref
7659
ref
appTerm
appTerm
7627
remove
2231
ref
appTerm
appTerm
refl
appThm
trans
7677
remove
2070
ref
appThm
eqMp
sym
235
ref
nil
149
ref
7659
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
7660
remove
trans
appThm
7678
remove
2233
ref
appThm
appThm
7654
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2072
ref
7679
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
ref
nil
2072
ref
2076
ref
1064
ref
7667
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
7663
remove
cons
7684
def
7661
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
1555
remove
appTerm
7685
def
betaConv
1406
ref
nil
1407
ref
119
ref
7685
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
2257
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
7684
remove
164
ref
7625
remove
cons
1064
ref
7630
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
nil
3683
ref
164
ref
7608
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
257
ref
7607
remove
appTerm
thm
3847
remove
nil
3848
remove
thm
nil
512
ref
60
ref
2365
ref
2347
ref
17
ref
379
ref
17
ref
32
ref
3331
remove
absTerm
7686
def
appTerm
7687
def
absTerm
7688
def
appTerm
7689
def
absTerm
7690
def
appTerm
7691
def
absTerm
7692
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7691
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
7690
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
7689
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
7688
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
7687
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
7686
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
4247
remove
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
7692
remove
appTerm
thm
nil
211
ref
32
ref
59
ref
60
ref
59
ref
2815
ref
7
ref
6103
remove
appTerm
6107
remove
appTerm
7693
def
absTerm
7694
def
appTerm
7695
def
absTerm
7696
def
appTerm
7697
def
absTerm
7698
def
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
7697
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7696
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7695
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7694
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
2815
ref
nil
149
ref
7693
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
6303
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
17
ref
7698
remove
appTerm
thm
nil
261
ref
246
ref
59
ref
60
ref
2365
ref
2347
ref
7
ref
498
ref
2357
ref
104
ref
2941
ref
6464
ref
6989
ref
6467
remove
appTerm
7699
def
appTerm
absTerm
7700
def
appTerm
7701
def
appTerm
7702
def
appTerm
7703
def
appTerm
6805
ref
appTerm
7704
def
absTerm
7705
def
appTerm
7706
def
absTerm
7707
def
appTerm
7708
def
absTerm
7709
def
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
7708
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7707
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7706
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
7705
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
7704
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7703
remove
nil
cons
7710
def
cons
119
ref
6813
ref
cons
nil
cons
cons
nil
cons
cons
7711
def
136
ref
subst
7711
remove
195
ref
subst
nil
589
ref
164
ref
7702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
7712
def
178
ref
subst
7712
remove
436
ref
subst
nil
162
ref
2356
remove
nil
cons
7713
def
cons
7714
def
164
ref
7701
ref
nil
cons
7715
def
cons
nil
cons
cons
nil
cons
cons
7716
def
178
ref
subst
7716
remove
436
ref
subst
nil
2347
ref
2546
remove
cons
3298
ref
cons
nil
cons
cons
7365
ref
subst
2406
ref
2400
ref
120
ref
6538
ref
appTerm
7717
def
refl
nil
6540
ref
nil
cons
cons
3768
ref
subst
7718
def
appThm
absThm
appThm
trans
sym
7719
def
nil
2391
ref
2400
ref
7717
remove
451
ref
13
ref
6541
remove
80
ref
appTerm
absTerm
7720
def
appTerm
7721
def
appTerm
7722
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
7723
def
2400
ref
nil
149
ref
7722
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6538
ref
nil
cons
7724
def
cons
119
ref
7721
ref
nil
cons
7725
def
cons
nil
cons
7726
def
cons
nil
cons
cons
7727
def
495
ref
subst
7727
ref
136
ref
subst
7727
remove
195
ref
subst
7700
ref
3596
ref
appTerm
7728
def
betaConv
nil
117
ref
7715
remove
cons
119
ref
7728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
7700
remove
nil
cons
cons
2400
ref
3602
remove
cons
nil
cons
7729
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6539
ref
6989
ref
13
ref
729
ref
2342
remove
3596
ref
appTerm
appTerm
7730
def
absTerm
7731
def
appTerm
appTerm
nil
cons
cons
7726
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
nil
149
ref
7724
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
6538
ref
assume
eqMp
appThm
nil
204
remove
6989
ref
appTerm
197
ref
43
ref
3070
remove
appTerm
12
ref
13
ref
12
ref
14
ref
7
ref
1624
remove
652
remove
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
7732
def
appTerm
axiom
7733
def
7731
ref
refl
appThm
7732
ref
7731
ref
appTerm
betaConv
43
ref
451
ref
7731
ref
appTerm
7734
def
appTerm
7735
def
refl
236
ref
13
ref
236
ref
14
ref
235
ref
306
ref
7731
ref
23
ref
appTerm
7736
def
betaConv
appThm
7731
ref
25
ref
appTerm
betaConv
appThm
appThm
6849
ref
appThm
absThm
appThm
absThm
appThm
appThm
trans
trans
appThm
nil
149
ref
7735
remove
12
ref
13
ref
12
ref
14
ref
7
ref
43
ref
7730
remove
appTerm
3645
ref
7408
ref
3596
ref
appTerm
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
appTerm
7737
def
appTerm
nil
cons
7738
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
7721
ref
refl
appThm
sym
nil
117
ref
7738
ref
cons
7726
ref
cons
nil
cons
cons
7739
def
136
ref
subst
7739
remove
195
ref
subst
nil
162
ref
7734
ref
nil
cons
7740
def
cons
164
ref
7737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
nil
117
ref
7740
remove
cons
7726
ref
cons
nil
cons
cons
187
ref
subst
nil
188
ref
3462
ref
7
ref
7731
ref
3463
ref
appTerm
7741
def
appTerm
7721
ref
appTerm
7742
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
7742
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7741
ref
nil
cons
7743
def
cons
7726
ref
cons
nil
cons
cons
7744
def
136
ref
subst
7744
remove
195
ref
subst
7741
ref
betaConv
7741
remove
assume
eqMp
nil
117
ref
3576
remove
3721
remove
3596
ref
appTerm
7745
def
appTerm
nil
cons
7746
def
cons
7726
remove
cons
nil
cons
cons
7747
def
187
ref
subst
proveHyp
7747
ref
136
ref
subst
7747
remove
195
ref
subst
nil
3822
ref
164
ref
7745
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7748
def
178
ref
subst
7748
remove
436
ref
subst
7720
ref
3463
ref
appTerm
7749
def
betaConv
7750
def
sym
306
ref
3603
ref
refl
7751
def
7745
remove
assume
appThm
3802
ref
trans
appThm
3795
ref
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
7720
ref
nil
cons
cons
7752
def
3635
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7746
remove
cons
164
ref
7725
remove
cons
nil
cons
7753
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7743
remove
cons
7753
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
7736
remove
appTerm
7721
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
7734
remove
appTerm
7721
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7731
remove
nil
cons
cons
7753
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
162
ref
7738
remove
cons
7753
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7724
ref
cons
7753
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6539
ref
7721
ref
appTerm
nil
cons
cons
119
ref
7
ref
7721
remove
appTerm
6538
ref
appTerm
7754
def
nil
cons
cons
nil
cons
7755
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
3462
ref
7
ref
7749
ref
appTerm
6538
ref
appTerm
7756
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
7756
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7749
ref
nil
cons
7757
def
cons
119
ref
7724
ref
cons
nil
cons
7758
def
cons
nil
cons
cons
7759
def
136
ref
subst
7759
remove
195
ref
subst
7750
remove
7749
remove
assume
eqMp
nil
117
ref
43
ref
3603
ref
3720
ref
appTerm
7760
def
appTerm
3575
ref
appTerm
nil
cons
7761
def
cons
7758
remove
cons
nil
cons
cons
7762
def
187
ref
subst
proveHyp
7762
ref
136
ref
subst
7762
remove
195
ref
subst
nil
162
ref
7760
ref
nil
cons
cons
3783
ref
cons
nil
cons
cons
7763
def
178
ref
subst
7763
remove
436
ref
subst
120
ref
"_11763"
97
ref
var
7764
def
2340
ref
7764
remove
varTerm
appTerm
2349
ref
appTerm
absTerm
7765
def
3596
ref
appTerm
7766
def
appTerm
refl
7765
ref
3720
ref
appTerm
betaConv
appThm
166
ref
7766
remove
betaConv
appThm
2340
ref
3720
ref
appTerm
2349
ref
appTerm
7767
def
refl
appThm
trans
7765
remove
refl
7760
remove
assume
appThm
eqMp
sym
nil
3874
ref
119
ref
7767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
3635
ref
nil
cons
cons
7768
def
2355
ref
23
ref
appTerm
7769
def
betaConv
nil
117
ref
7713
remove
cons
7770
def
119
ref
7769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
2355
remove
nil
cons
cons
7771
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
7772
def
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
7761
remove
cons
164
ref
7724
remove
cons
nil
cons
7773
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
7757
remove
cons
7773
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
7720
remove
23
ref
appTerm
appTerm
6538
ref
appTerm
absTerm
appTerm
nil
cons
cons
7755
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
7752
remove
7773
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
120
ref
"_11755"
2314
ref
var
7774
def
31
ref
2470
ref
7774
remove
varTerm
appTerm
appTerm
227
ref
appTerm
absTerm
7775
def
2349
ref
appTerm
7776
def
appTerm
refl
7775
ref
2474
ref
appTerm
betaConv
appThm
166
ref
7776
remove
betaConv
appThm
3690
remove
appThm
trans
7775
remove
refl
6809
ref
appThm
eqMp
sym
3665
ref
597
remove
appThm
nil
149
ref
3682
remove
cons
nil
cons
nil
cons
cons
7777
def
2422
ref
subst
7778
def
trans
sym
3817
ref
13
ref
6488
ref
6490
ref
14
ref
6491
ref
6494
ref
6495
ref
6498
ref
6499
ref
6503
ref
6504
ref
2941
ref
6742
remove
7699
ref
appTerm
absTerm
7779
def
249
ref
appTerm
7780
def
betaConv
120
ref
"_11761"
2314
ref
var
7781
def
104
ref
2941
ref
7
ref
2947
ref
7781
remove
varTerm
appTerm
appTerm
7699
remove
appTerm
absTerm
appTerm
absTerm
7782
def
2349
ref
appTerm
7783
def
appTerm
refl
7782
ref
2474
ref
appTerm
betaConv
appThm
166
ref
7783
remove
betaConv
appThm
104
ref
7779
ref
appTerm
7784
def
refl
appThm
trans
7782
remove
refl
6809
ref
appThm
eqMp
7701
remove
assume
eqMp
nil
117
ref
7784
remove
nil
cons
cons
119
ref
7780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2393
ref
2391
ref
7779
remove
nil
cons
cons
3835
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
7404
remove
2474
ref
appTerm
7785
def
appTerm
6989
remove
13
ref
729
ref
3646
ref
appTerm
7786
def
absTerm
7787
def
appTerm
7788
def
appTerm
7789
def
nil
cons
cons
6428
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
7010
ref
119
ref
7785
ref
nil
cons
7790
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
6521
ref
60
ref
630
ref
2542
ref
appTerm
7791
def
absTerm
7792
def
63
ref
appTerm
7793
def
betaConv
246
ref
59
ref
7792
ref
appTerm
7794
def
absTerm
7795
def
247
ref
appTerm
7796
def
betaConv
13
ref
257
ref
7795
ref
appTerm
7797
def
absTerm
7798
def
23
ref
appTerm
7799
def
betaConv
nil
257
ref
246
ref
59
ref
60
ref
12
ref
13
ref
7791
ref
absTerm
7800
def
appTerm
7801
def
absTerm
7802
def
appTerm
7803
def
absTerm
7804
def
appTerm
7805
def
axiom
nil
117
ref
7805
remove
nil
cons
7806
def
cons
7807
def
119
ref
12
ref
7798
ref
appTerm
nil
cons
7808
def
cons
nil
cons
cons
nil
cons
cons
7809
def
187
ref
subst
proveHyp
7809
ref
136
ref
subst
7809
remove
195
ref
subst
nil
188
ref
7798
remove
nil
cons
cons
7810
def
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
7797
remove
nil
cons
7811
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
7795
remove
nil
cons
cons
7812
def
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
7794
remove
nil
cons
7813
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7792
remove
nil
cons
cons
7814
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7791
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
7800
ref
23
ref
appTerm
7815
def
betaConv
7802
ref
63
ref
appTerm
7816
def
betaConv
7804
ref
247
ref
appTerm
7817
def
betaConv
nil
7807
remove
119
ref
7817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
260
ref
261
ref
7804
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7803
remove
nil
cons
cons
119
ref
7816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
7802
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7801
remove
nil
cons
cons
119
ref
7815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7800
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
7806
remove
cons
164
ref
7808
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
7808
remove
cons
119
ref
7799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
7810
remove
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7811
remove
cons
119
ref
7796
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
7812
remove
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7813
remove
cons
119
ref
7793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
7814
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
nil
117
ref
7790
ref
cons
119
ref
7
ref
7788
ref
appTerm
26
ref
appTerm
7818
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
235
ref
7733
remove
7787
ref
refl
appThm
7732
remove
7787
ref
appTerm
betaConv
43
ref
451
ref
7787
ref
appTerm
7819
def
appTerm
7820
def
refl
236
ref
13
ref
236
ref
"y'"
9
ref
var
7821
def
235
ref
306
ref
7787
ref
23
ref
appTerm
betaConv
appThm
7787
remove
7821
ref
varTerm
7822
def
appTerm
betaConv
appThm
appThm
24
ref
7822
ref
appTerm
7823
def
refl
appThm
absThm
appThm
absThm
appThm
appThm
trans
trans
appThm
6849
ref
appThm
sym
nil
117
ref
7820
remove
12
ref
13
ref
12
ref
7821
ref
7
ref
43
ref
7786
remove
appTerm
7824
def
43
ref
78
ref
7822
ref
appTerm
7825
def
63
ref
appTerm
appTerm
108
ref
247
ref
7822
ref
appTerm
appTerm
249
ref
appTerm
appTerm
appTerm
appTerm
7823
remove
appTerm
absTerm
7826
def
appTerm
7827
def
absTerm
7828
def
appTerm
7829
def
appTerm
nil
cons
7830
def
cons
6428
ref
cons
nil
cons
cons
7831
def
136
ref
subst
7831
remove
195
ref
subst
306
ref
741
ref
3189
ref
6597
ref
appThm
3833
ref
appThm
3836
ref
trans
7832
def
appThm
429
ref
trans
appThm
6852
ref
3836
remove
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
7824
remove
3645
ref
7408
remove
249
ref
appTerm
appTerm
appTerm
nil
cons
cons
6428
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
7821
ref
265
ref
cons
nil
cons
nil
cons
cons
7826
ref
7822
ref
appTerm
7833
def
betaConv
7828
ref
23
ref
appTerm
7834
def
betaConv
nil
162
ref
7819
remove
nil
cons
cons
164
ref
7829
remove
nil
cons
7835
def
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
117
ref
7835
remove
cons
119
ref
7834
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7828
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7827
remove
nil
cons
cons
119
ref
7833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
7826
remove
nil
cons
cons
13
ref
7822
ref
nil
cons
cons
nil
cons
7836
def
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
162
ref
7830
remove
cons
6727
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
43
ref
7785
remove
appTerm
7837
def
7818
remove
appTerm
nil
cons
cons
119
ref
7
ref
7789
remove
appTerm
26
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
5657
remove
6427
ref
cons
3178
remove
7788
remove
nil
cons
cons
284
ref
7790
ref
cons
nil
cons
cons
cons
nil
cons
cons
5677
remove
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
6728
ref
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
3696
remove
proveHyp
3845
remove
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7710
remove
cons
164
ref
6813
remove
cons
nil
cons
7838
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
257
ref
7709
remove
appTerm
thm
6846
remove
nil
59
ref
6452
remove
appTerm
thm
298
ref
60
ref
3312
ref
2347
ref
nil
1069
ref
2334
ref
246
ref
6738
ref
3653
ref
appTerm
7839
def
absTerm
7840
def
appTerm
7841
def
nil
cons
7842
def
cons
7843
def
119
ref
6456
ref
4773
remove
2695
ref
appTerm
7844
def
appTerm
7845
def
nil
cons
cons
3391
ref
cons
cons
nil
cons
cons
3387
ref
subst
299
ref
nil
7843
remove
119
ref
7844
ref
nil
cons
7846
def
cons
117
ref
2720
ref
cons
7847
def
nil
cons
7848
def
cons
cons
nil
cons
cons
3387
ref
subst
7
ref
2350
ref
appTerm
7849
def
refl
7850
def
7
ref
7844
ref
appTerm
7851
def
refl
7852
def
2409
ref
246
ref
6738
ref
refl
7853
def
236
ref
13
ref
236
ref
14
ref
nil
1069
ref
6427
remove
cons
7854
def
119
ref
6496
remove
cons
7591
ref
cons
cons
nil
cons
cons
3387
ref
subst
631
ref
nil
7854
remove
119
ref
6500
remove
cons
7010
remove
nil
cons
cons
cons
nil
cons
cons
3387
ref
subst
appThm
trans
absThm
appThm
absThm
appThm
appThm
absThm
appThm
appThm
appThm
trans
appThm
trans
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
166
ref
3312
ref
2347
ref
299
ref
2347
ref
7849
ref
7851
ref
2334
ref
246
ref
6738
ref
12
ref
13
ref
12
ref
14
ref
630
ref
6998
ref
7
ref
3646
ref
appTerm
26
ref
appTerm
7855
def
appTerm
7856
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
7857
def
2349
ref
appTerm
betaConv
7858
def
appThm
absThm
appThm
appThm
299
ref
3312
ref
2347
ref
7858
remove
absThm
appThm
appThm
appThm
nil
"q"
2315
ref
var
7859
def
7857
remove
nil
cons
cons
3391
ref
cons
nil
cons
cons
2385
ref
3401
ref
subst
subst
eqMp
299
ref
3312
ref
2347
ref
7850
ref
7852
remove
2409
ref
246
ref
7853
remove
236
ref
13
ref
166
ref
236
ref
14
ref
631
ref
14
ref
7856
remove
absTerm
7860
def
25
ref
appTerm
betaConv
7861
def
appThm
absThm
appThm
appThm
631
remove
236
ref
14
ref
7861
remove
absThm
appThm
appThm
appThm
nil
1623
ref
7860
ref
nil
cons
cons
7591
ref
cons
nil
cons
cons
3401
remove
subst
eqMp
absThm
appThm
appThm
absThm
appThm
appThm
appThm
absThm
appThm
appThm
trans
absThm
appThm
sym
3312
ref
2347
ref
7850
ref
7
ref
2469
ref
222
remove
appTerm
2695
ref
appTerm
7862
def
appTerm
7863
def
refl
2409
ref
246
ref
306
ref
5088
ref
refl
7864
def
2492
ref
appThm
2349
ref
refl
7865
def
appThm
nil
3298
ref
nil
cons
cons
7866
def
2394
ref
5466
remove
subst
subst
trans
appThm
236
ref
13
ref
6892
remove
236
ref
14
ref
235
ref
6521
ref
2263
ref
subst
appThm
7855
ref
refl
appThm
nil
149
ref
7855
ref
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
absThm
appThm
297
ref
trans
appThm
7593
remove
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
absThm
appThm
289
ref
2427
ref
5007
ref
subst
subst
trans
appThm
nil
149
ref
7862
remove
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
appThm
4265
remove
287
ref
subst
trans
absThm
appThm
4248
ref
trans
sym
155
ref
eqMp
nil
117
ref
2365
ref
2347
ref
7849
ref
7863
remove
2334
ref
246
ref
43
ref
5088
ref
2487
remove
appTerm
2349
ref
appTerm
appTerm
12
ref
13
ref
2770
ref
12
ref
14
ref
7
ref
3710
remove
appTerm
7855
remove
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
7867
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
2365
ref
2347
ref
7849
ref
7851
remove
2334
ref
246
ref
6738
ref
12
ref
13
ref
630
ref
12
ref
7860
remove
appTerm
appTerm
absTerm
7868
def
appTerm
7869
def
appTerm
7870
def
absTerm
7871
def
appTerm
7872
def
appTerm
appTerm
7873
def
absTerm
7874
def
appTerm
7875
def
appTerm
965
ref
appTerm
7876
def
appTerm
2365
ref
2347
ref
7849
ref
7
ref
2469
ref
225
remove
appTerm
2695
ref
appTerm
7877
def
appTerm
2334
ref
246
ref
43
ref
5088
ref
2504
remove
appTerm
7878
def
2349
ref
appTerm
appTerm
12
ref
3462
ref
3466
ref
12
ref
14
ref
7
ref
3718
remove
appTerm
7879
def
7
ref
3722
remove
appTerm
3725
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
7880
def
appTerm
absTerm
appTerm
7881
def
appTerm
7882
def
appTerm
7883
def
absTerm
appTerm
7884
def
appTerm
7885
def
absTerm
7886
def
appTerm
7887
def
absTerm
7888
def
appTerm
7889
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
7888
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
7887
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
7886
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
7885
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7876
remove
nil
cons
7890
def
cons
119
ref
7884
remove
nil
cons
7891
def
cons
nil
cons
cons
nil
cons
cons
7892
def
136
ref
subst
7892
remove
195
ref
subst
nil
162
ref
7875
ref
nil
cons
7893
def
cons
995
ref
cons
nil
cons
cons
7894
def
178
ref
subst
7894
remove
436
ref
subst
998
ref
999
ref
3312
ref
2347
ref
nil
7847
ref
119
ref
120
ref
7882
ref
appTerm
7895
def
7
ref
2469
ref
228
ref
appTerm
7896
def
2695
ref
appTerm
7897
def
appTerm
7898
def
7881
ref
appTerm
7899
def
appTerm
7900
def
nil
cons
7901
def
cons
nil
cons
7902
def
cons
nil
cons
cons
7903
def
136
ref
subst
7903
remove
195
ref
subst
nil
117
ref
7897
ref
nil
cons
7904
def
cons
119
ref
120
ref
7881
ref
appTerm
7905
def
7881
ref
appTerm
7906
def
nil
cons
7907
def
cons
nil
cons
cons
nil
cons
cons
7908
def
136
ref
subst
7908
remove
195
ref
subst
7881
ref
refl
eqMp
nil
162
ref
7904
ref
cons
164
ref
7907
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7898
ref
7906
remove
appTerm
nil
cons
cons
7902
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
7881
remove
nil
cons
7909
def
cons
nil
cons
nil
cons
cons
2483
ref
2550
remove
appThm
5413
ref
appThm
nil
117
ref
120
ref
7877
ref
appTerm
7910
def
7897
remove
appTerm
nil
cons
cons
119
ref
7
ref
7898
ref
7905
remove
1450
ref
appTerm
7911
def
appTerm
appTerm
7895
ref
7898
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
7904
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
7910
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
7911
remove
appTerm
appTerm
7895
ref
1455
ref
appTerm
appTerm
appTerm
absTerm
7912
def
1450
ref
appTerm
7913
def
betaConv
1452
ref
280
ref
7912
ref
appTerm
7914
def
absTerm
7915
def
1453
ref
appTerm
7916
def
betaConv
nil
119
ref
7909
remove
cons
117
ref
7877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
7915
ref
appTerm
nil
cons
cons
119
ref
7916
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7915
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7914
remove
nil
cons
cons
119
ref
7913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7912
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
eqMp
nil
6478
ref
164
ref
7901
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7849
ref
7900
remove
appTerm
nil
cons
cons
119
ref
120
ref
7883
remove
appTerm
7917
def
7849
ref
7899
ref
appTerm
7918
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
7899
ref
nil
cons
7919
def
cons
nil
cons
nil
cons
cons
2350
ref
refl
nil
117
ref
120
ref
2350
ref
appTerm
7920
def
2350
ref
appTerm
nil
cons
cons
119
ref
7
ref
7849
ref
7895
remove
1450
ref
appTerm
7921
def
appTerm
appTerm
7917
ref
7849
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
2720
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
7920
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
7921
remove
appTerm
appTerm
7917
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
7922
def
1450
ref
appTerm
7923
def
betaConv
1452
ref
280
ref
7922
ref
appTerm
7924
def
absTerm
7925
def
1453
ref
appTerm
7926
def
betaConv
nil
119
ref
7882
remove
nil
cons
cons
7848
remove
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
7925
ref
appTerm
nil
cons
cons
119
ref
7926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7925
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7924
remove
nil
cons
cons
119
ref
7923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7922
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
absThm
appThm
sym
235
ref
7896
ref
refl
7927
def
2493
ref
appThm
3581
remove
4926
remove
subst
4231
remove
trans
trans
appThm
2334
ref
246
ref
43
ref
7878
ref
2488
ref
appTerm
appTerm
7880
ref
appTerm
absTerm
appTerm
7928
def
refl
appThm
nil
149
ref
7928
ref
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
nil
117
ref
7
ref
7896
ref
2470
ref
2488
ref
appTerm
appTerm
appTerm
7928
remove
appTerm
7929
def
nil
cons
cons
119
ref
104
ref
2400
ref
2365
ref
2347
ref
7
ref
43
ref
7899
ref
appTerm
7930
def
43
ref
19
ref
6538
ref
appTerm
appTerm
2350
ref
appTerm
7931
def
appTerm
appTerm
7
ref
7896
ref
2470
ref
2518
ref
3596
ref
appTerm
2349
ref
appTerm
7932
def
appTerm
appTerm
appTerm
2334
ref
246
ref
43
ref
7878
ref
7932
ref
appTerm
appTerm
7880
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
7933
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
2391
ref
2941
ref
2365
ref
2347
ref
7
ref
7930
remove
43
ref
19
ref
2948
ref
appTerm
7934
def
appTerm
2350
ref
appTerm
7935
def
appTerm
7936
def
appTerm
7
ref
7896
ref
2470
ref
2518
ref
2942
ref
appTerm
7937
def
2349
ref
appTerm
7938
def
appTerm
7939
def
appTerm
7940
def
appTerm
2334
ref
246
ref
43
ref
7878
remove
7938
ref
appTerm
appTerm
7880
remove
appTerm
absTerm
7941
def
appTerm
7942
def
appTerm
7943
def
appTerm
7944
def
absTerm
7945
def
appTerm
7946
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
2941
ref
nil
149
ref
7946
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
7945
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
7944
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
7936
remove
nil
cons
7947
def
cons
119
ref
7943
ref
nil
cons
7948
def
cons
nil
cons
cons
nil
cons
cons
7949
def
136
ref
subst
7949
remove
195
ref
subst
nil
162
ref
7919
remove
cons
164
ref
7935
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
nil
162
ref
7934
remove
nil
cons
7950
def
cons
2722
remove
cons
nil
cons
cons
7951
def
178
ref
subst
7951
remove
436
ref
subst
nil
117
ref
7896
remove
35
remove
2695
ref
appTerm
7952
def
appTerm
7953
def
nil
cons
7954
def
cons
119
ref
120
ref
7942
ref
appTerm
7955
def
7942
ref
appTerm
7956
def
nil
cons
7957
def
cons
nil
cons
cons
nil
cons
cons
7958
def
136
ref
subst
7958
remove
195
ref
subst
7942
ref
refl
7959
def
eqMp
nil
162
ref
7954
ref
cons
164
ref
7957
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
7953
ref
appTerm
7960
def
7956
remove
appTerm
nil
cons
cons
119
ref
120
ref
7943
remove
appTerm
7961
def
7960
ref
7942
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
7942
ref
nil
cons
7962
def
cons
nil
cons
nil
cons
cons
7927
remove
nil
7847
ref
119
ref
31
ref
7939
remove
appTerm
75
remove
2948
ref
appTerm
2695
ref
appTerm
7952
ref
appTerm
7963
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
2932
remove
2963
ref
cons
nil
cons
cons
2548
remove
subst
eqMp
nil
1268
ref
119
ref
31
ref
7952
ref
appTerm
7964
def
7952
ref
appTerm
7965
def
nil
cons
7966
def
cons
nil
cons
cons
nil
cons
cons
7967
def
136
ref
subst
7967
remove
195
ref
subst
7952
ref
refl
eqMp
nil
1275
ref
164
ref
7966
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1276
ref
7965
remove
appTerm
nil
cons
cons
119
ref
31
ref
7963
remove
appTerm
7968
def
1278
ref
2695
ref
appTerm
7969
def
7952
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1280
ref
7952
remove
nil
cons
7970
def
cons
nil
cons
nil
cons
cons
nil
554
ref
119
ref
6804
ref
2695
ref
appTerm
7971
def
nil
cons
7972
def
cons
nil
cons
cons
nil
cons
cons
7973
def
136
ref
subst
7973
remove
195
ref
subst
5413
ref
eqMp
nil
561
ref
164
ref
7972
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
553
ref
7971
ref
appTerm
nil
cons
cons
119
ref
7
ref
1276
ref
7964
remove
1282
ref
appTerm
7974
def
appTerm
appTerm
7975
def
7968
ref
7969
remove
1282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1285
ref
4259
ref
cons
nil
cons
nil
cons
cons
nil
117
ref
7950
remove
cons
119
ref
6816
ref
539
ref
appTerm
nil
cons
7976
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
6823
ref
cons
7977
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
7978
def
nil
117
ref
7976
remove
cons
119
ref
7
ref
553
ref
6804
ref
1290
ref
appTerm
7979
def
appTerm
appTerm
7975
remove
7968
ref
1293
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1295
ref
1280
ref
7
ref
6816
ref
1296
ref
appTerm
appTerm
7
ref
1297
ref
7979
remove
appTerm
appTerm
7
ref
1299
ref
7974
remove
appTerm
appTerm
7968
remove
1301
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7980
def
1282
ref
appTerm
7981
def
betaConv
1285
ref
17
ref
7980
ref
appTerm
7982
def
absTerm
7983
def
1290
ref
appTerm
7984
def
betaConv
1294
ref
17
ref
7983
ref
appTerm
7985
def
absTerm
7986
def
1296
ref
appTerm
7987
def
betaConv
nil
1310
ref
7970
ref
cons
1313
ref
4259
ref
cons
1316
remove
6823
ref
cons
nil
cons
cons
cons
nil
cons
cons
1438
ref
subst
nil
117
ref
280
ref
7986
ref
appTerm
nil
cons
cons
119
ref
7987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7986
remove
nil
cons
cons
1409
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7985
remove
nil
cons
cons
119
ref
7984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7983
remove
nil
cons
cons
1439
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7982
remove
nil
cons
cons
119
ref
7981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
7980
remove
nil
cons
cons
1440
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
nil
748
remove
7970
remove
cons
749
remove
4259
remove
cons
nil
cons
cons
nil
cons
cons
765
remove
subst
trans
trans
appThm
nil
117
ref
120
ref
7940
ref
appTerm
7988
def
7953
remove
appTerm
nil
cons
cons
119
ref
7
ref
7960
ref
7955
remove
1450
ref
appTerm
7989
def
appTerm
appTerm
7961
ref
7960
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
7954
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
7988
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
7989
remove
appTerm
appTerm
7961
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
7990
def
1450
ref
appTerm
7991
def
betaConv
1452
ref
280
ref
7990
ref
appTerm
7992
def
absTerm
7993
def
1453
ref
appTerm
7994
def
betaConv
nil
119
ref
7962
ref
cons
7995
def
117
ref
7940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
7993
ref
appTerm
nil
cons
cons
119
ref
7994
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7993
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7992
remove
nil
cons
cons
119
ref
7991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
7990
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
235
ref
nil
4264
ref
3535
remove
cons
nil
cons
cons
2591
remove
subst
appThm
7959
ref
appThm
sym
nil
117
ref
7846
ref
cons
7995
remove
nil
cons
7996
def
cons
nil
cons
cons
7997
def
136
ref
subst
7997
remove
195
ref
subst
7874
ref
2349
ref
appTerm
7998
def
betaConv
nil
117
ref
7893
remove
cons
119
ref
7998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2384
ref
2381
ref
7874
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7873
remove
nil
cons
cons
7996
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
4266
remove
appThm
235
ref
nil
149
ref
7846
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
7844
remove
assume
eqMp
appThm
7872
ref
refl
appThm
nil
149
ref
7872
ref
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
7999
def
trans
appThm
7999
remove
trans
appThm
7959
remove
appThm
sym
nil
261
ref
246
ref
7
ref
7871
ref
247
ref
appTerm
8000
def
appTerm
7942
ref
appTerm
8001
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
8001
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8000
ref
nil
cons
8002
def
cons
7996
ref
cons
nil
cons
cons
8003
def
136
ref
subst
8003
remove
195
ref
subst
8000
ref
betaConv
8000
remove
assume
eqMp
nil
117
ref
7870
remove
nil
cons
8004
def
cons
7996
remove
cons
nil
cons
cons
8005
def
187
ref
subst
proveHyp
8005
ref
136
ref
subst
8005
remove
195
ref
subst
nil
162
ref
6482
ref
cons
8006
def
164
ref
7869
remove
nil
cons
8007
def
cons
nil
cons
cons
nil
cons
cons
8008
def
178
ref
subst
8008
remove
436
ref
subst
7941
ref
4629
ref
115
ref
6575
remove
23
ref
appTerm
8009
def
appTerm
2942
ref
appTerm
6561
ref
appTerm
8010
def
absTerm
8011
def
appTerm
betaConv
sym
306
ref
7864
remove
nil
246
ref
8011
ref
nil
cons
8012
def
cons
8013
def
nil
cons
nil
cons
cons
2529
ref
subst
2518
remove
refl
8011
ref
23
ref
appTerm
betaConv
nil
3238
ref
2415
remove
cons
nil
cons
nil
cons
cons
3244
remove
subst
trans
appThm
2472
remove
8011
ref
appTerm
63
ref
appTerm
8014
def
refl
appThm
trans
appThm
7938
ref
refl
appThm
appThm
236
ref
3462
ref
3466
ref
refl
236
ref
14
ref
7879
ref
refl
235
ref
3189
ref
8011
ref
3463
ref
appTerm
betaConv
8015
def
appThm
8011
remove
25
ref
appTerm
betaConv
appThm
appThm
3725
ref
refl
appThm
appThm
absThm
appThm
appThm
absThm
appThm
appThm
sym
nil
117
ref
6482
remove
cons
8016
def
119
ref
5088
remove
7937
remove
8014
ref
appTerm
8017
def
appTerm
7938
ref
appTerm
nil
cons
8018
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
235
ref
3667
remove
6537
ref
subst
2406
ref
2400
ref
235
ref
7718
remove
appThm
6538
ref
refl
appThm
absThm
appThm
trans
8019
def
appThm
8020
def
nil
2347
ref
7938
remove
nil
cons
cons
2545
ref
8017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6537
remove
subst
2406
ref
2400
ref
235
ref
nil
2545
ref
8014
remove
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
2282
ref
subst
8021
def
subst
883
ref
3604
remove
appTerm
8022
def
refl
nil
8013
remove
6540
remove
cons
nil
cons
cons
3768
ref
subst
1198
ref
3462
ref
306
ref
7751
remove
8015
remove
appThm
appThm
3575
ref
refl
appThm
absThm
appThm
trans
appThm
trans
appThm
7866
ref
8021
remove
subst
appThm
absThm
appThm
trans
appThm
sym
nil
117
ref
104
ref
2400
ref
7754
ref
absTerm
8023
def
appTerm
8024
def
nil
cons
8025
def
cons
8026
def
119
ref
104
ref
2400
ref
7
ref
8022
ref
451
ref
3462
ref
43
ref
3603
remove
115
ref
3793
remove
appTerm
2942
ref
appTerm
3720
remove
appTerm
8027
def
appTerm
appTerm
3575
ref
appTerm
absTerm
appTerm
appTerm
appTerm
8022
remove
6538
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
8028
def
cons
nil
cons
cons
nil
cons
cons
8029
def
136
ref
subst
8029
remove
195
ref
subst
nil
2391
ref
3238
ref
7
ref
883
ref
108
ref
3241
ref
appTerm
8030
def
2942
ref
appTerm
8031
def
appTerm
8032
def
451
ref
3462
ref
43
ref
8030
ref
8027
ref
appTerm
appTerm
3575
ref
appTerm
absTerm
8033
def
appTerm
8034
def
appTerm
appTerm
8032
remove
5964
remove
2349
ref
appTerm
8035
def
appTerm
appTerm
8036
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
ref
subst
3238
remove
nil
149
ref
8036
remove
nil
cons
8037
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
"w"
9
ref
var
8038
def
7
ref
8033
ref
8038
ref
varTerm
8039
def
appTerm
8040
def
appTerm
7
ref
19
ref
8031
ref
appTerm
appTerm
8035
ref
appTerm
8041
def
appTerm
8042
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
8038
ref
nil
149
ref
8042
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8040
ref
nil
cons
8043
def
cons
119
ref
8041
ref
nil
cons
8044
def
cons
nil
cons
8045
def
cons
nil
cons
cons
8046
def
136
ref
subst
8046
remove
195
ref
subst
8040
ref
betaConv
8040
remove
assume
eqMp
nil
117
ref
43
ref
8030
remove
115
ref
22
ref
8039
ref
appTerm
8047
def
23
ref
appTerm
8048
def
appTerm
2942
ref
appTerm
247
ref
8039
ref
appTerm
8049
def
appTerm
8050
def
appTerm
8051
def
appTerm
78
ref
8039
ref
appTerm
8052
def
63
ref
appTerm
8053
def
appTerm
nil
cons
8054
def
cons
8045
remove
cons
nil
cons
cons
8055
def
187
ref
subst
proveHyp
8055
ref
136
ref
subst
8055
remove
195
ref
subst
nil
162
ref
8051
ref
nil
cons
cons
164
ref
8053
ref
nil
cons
8056
def
cons
nil
cons
cons
nil
cons
cons
8057
def
178
ref
subst
8057
remove
436
ref
subst
120
ref
"_12912"
97
ref
var
8058
def
7
ref
19
ref
108
ref
8058
remove
varTerm
8059
def
appTerm
2942
ref
appTerm
appTerm
appTerm
2340
ref
8059
remove
appTerm
2349
ref
appTerm
appTerm
absTerm
8060
def
3241
remove
appTerm
8061
def
appTerm
refl
8060
ref
8050
ref
appTerm
betaConv
8062
def
appThm
166
ref
8061
remove
betaConv
appThm
7
ref
19
ref
108
ref
8050
ref
appTerm
8063
def
2942
ref
appTerm
appTerm
appTerm
2340
ref
8050
ref
appTerm
2349
ref
appTerm
appTerm
refl
appThm
trans
8060
remove
refl
8051
remove
assume
appThm
eqMp
sym
166
ref
8062
remove
appThm
306
ref
7
ref
8048
ref
appTerm
8064
def
refl
8065
def
"_12928"
97
ref
var
8066
def
7
ref
19
ref
108
ref
8066
remove
varTerm
8067
def
appTerm
2942
ref
appTerm
appTerm
appTerm
2340
ref
8067
remove
appTerm
2349
ref
appTerm
appTerm
absTerm
8068
def
2942
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
8048
ref
appTerm
8069
def
appTerm
8070
def
refl
8071
def
8068
ref
8049
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
97
ref
var
8072
def
8049
ref
nil
cons
8073
def
cons
"_482"
97
ref
var
2962
remove
cons
8074
def
639
ref
8048
ref
nil
cons
8075
def
cons
nil
cons
cons
cons
nil
cons
cons
8076
def
nil
"_484"
102
remove
var
8077
def
8068
remove
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
673
remove
subst
8078
def
subst
subst
eqMp
sym
nil
117
ref
8075
ref
cons
8079
def
119
ref
7
ref
19
ref
3753
ref
2942
ref
appTerm
8080
def
appTerm
appTerm
2948
ref
appTerm
8081
def
nil
cons
8082
def
cons
nil
cons
cons
nil
cons
cons
8083
def
136
ref
subst
8083
remove
195
ref
subst
235
ref
537
ref
nil
2963
ref
nil
cons
cons
3802
ref
subst
8084
def
appThm
744
remove
trans
appThm
2948
ref
refl
appThm
nil
149
ref
6823
ref
cons
nil
cons
nil
cons
cons
1062
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
8075
remove
cons
8085
def
164
ref
8082
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8064
ref
8081
remove
appTerm
nil
cons
cons
119
ref
8070
ref
7
ref
19
ref
108
ref
8049
ref
appTerm
8086
def
2942
ref
appTerm
8087
def
appTerm
8088
def
appTerm
2340
ref
8049
ref
appTerm
2349
ref
appTerm
8089
def
appTerm
8090
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
8069
remove
nil
cons
8091
def
cons
8092
def
119
ref
8090
remove
nil
cons
8093
def
cons
nil
cons
cons
nil
cons
cons
8094
def
136
ref
subst
8094
remove
195
ref
subst
nil
117
ref
8088
remove
nil
cons
8095
def
cons
119
ref
8089
remove
nil
cons
8096
def
cons
nil
cons
8097
def
cons
nil
cons
cons
8098
def
136
ref
subst
8098
remove
195
ref
subst
13
ref
43
ref
8086
ref
248
ref
appTerm
appTerm
80
ref
appTerm
absTerm
8099
def
8039
ref
appTerm
betaConv
sym
306
ref
nil
2400
ref
8073
remove
cons
nil
cons
nil
cons
cons
8100
def
3802
remove
subst
appThm
nil
149
ref
8056
ref
cons
nil
cons
nil
cons
cons
8101
def
156
ref
subst
8053
ref
assume
eqMp
8102
def
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
8099
ref
nil
cons
cons
13
ref
8039
ref
nil
cons
cons
nil
cons
8103
def
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
451
ref
8099
remove
appTerm
nil
cons
cons
8097
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
8100
remove
8023
ref
3596
ref
appTerm
8104
def
betaConv
8105
def
nil
8026
ref
119
ref
8104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
8023
remove
nil
cons
8106
def
cons
7729
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8107
def
subst
eqMp
eqMp
nil
162
ref
8095
remove
cons
164
ref
8096
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
8091
remove
cons
8108
def
164
ref
8093
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
8054
remove
cons
164
ref
8044
remove
cons
nil
cons
8109
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
8043
remove
cons
8109
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
3462
ref
7
ref
8033
ref
3463
ref
appTerm
appTerm
8041
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
8034
ref
appTerm
8041
remove
appTerm
nil
cons
8110
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
8033
remove
nil
cons
cons
8109
remove
cons
nil
cons
cons
947
ref
subst
eqMp
nil
117
ref
8110
remove
cons
119
ref
8037
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"Z"
3
ref
var
8111
def
8035
remove
nil
cons
cons
"Y"
3
ref
var
8112
def
8034
remove
nil
cons
cons
"X"
3
ref
var
8113
def
8031
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
117
ref
120
ref
8112
ref
varTerm
8114
def
appTerm
8115
def
539
ref
appTerm
8116
def
nil
cons
8117
def
cons
119
ref
7
ref
7
ref
8114
ref
appTerm
8118
def
7
ref
19
ref
8113
ref
varTerm
8119
def
appTerm
appTerm
8111
ref
varTerm
8120
def
appTerm
8121
def
appTerm
appTerm
7
ref
883
ref
8119
ref
appTerm
8122
def
8114
ref
appTerm
appTerm
8122
ref
8120
ref
appTerm
8123
def
appTerm
appTerm
nil
cons
8124
def
cons
nil
cons
8125
def
cons
nil
cons
cons
8126
def
136
ref
subst
8126
remove
195
ref
subst
120
ref
"_12899"
3
ref
var
8127
def
7
ref
7
ref
8127
remove
varTerm
8128
def
appTerm
8121
ref
appTerm
appTerm
7
ref
8122
ref
8128
remove
appTerm
appTerm
8123
ref
appTerm
appTerm
absTerm
8129
def
8114
ref
appTerm
8130
def
appTerm
refl
8131
def
8129
ref
539
ref
appTerm
betaConv
appThm
166
ref
8130
remove
betaConv
appThm
8132
def
7
ref
553
ref
8121
ref
appTerm
appTerm
7
ref
8122
ref
539
ref
appTerm
appTerm
8123
ref
appTerm
appTerm
refl
appThm
trans
8129
remove
refl
8133
def
8116
remove
assume
appThm
eqMp
sym
235
ref
nil
149
ref
8121
ref
nil
cons
cons
nil
cons
nil
cons
cons
8134
def
1062
ref
subst
appThm
235
ref
nil
149
ref
8119
ref
nil
cons
8135
def
cons
nil
cons
nil
cons
cons
8136
def
1767
remove
subst
appThm
8123
ref
refl
8137
def
appThm
appThm
nil
149
ref
7
ref
8119
ref
appTerm
8138
def
8123
ref
appTerm
nil
cons
8139
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
sym
nil
117
ref
120
ref
8119
ref
appTerm
8140
def
539
ref
appTerm
8141
def
nil
cons
8142
def
cons
8143
def
119
ref
8139
ref
cons
nil
cons
8144
def
cons
nil
cons
cons
8145
def
136
ref
subst
8145
remove
195
ref
subst
120
ref
"_12907"
3
ref
var
8146
def
7
ref
8146
remove
varTerm
8147
def
appTerm
883
ref
8147
remove
appTerm
8120
ref
appTerm
appTerm
absTerm
8148
def
8119
ref
appTerm
8149
def
appTerm
refl
8150
def
8148
ref
539
ref
appTerm
betaConv
appThm
166
ref
8149
remove
betaConv
appThm
8151
def
553
ref
1699
ref
8120
ref
appTerm
8152
def
appTerm
refl
appThm
trans
8148
remove
refl
8153
def
8141
remove
assume
8154
def
appThm
eqMp
sym
nil
149
ref
8152
ref
nil
cons
cons
nil
cons
nil
cons
cons
1062
ref
subst
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
8142
ref
cons
8155
def
164
ref
8139
ref
cons
nil
cons
8156
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8140
remove
141
ref
appTerm
8157
def
nil
cons
8158
def
cons
8159
def
8144
remove
cons
nil
cons
cons
8160
def
136
ref
subst
8160
remove
195
ref
subst
8150
remove
"_12905"
3
ref
var
8161
def
7
ref
8161
remove
varTerm
8162
def
appTerm
883
ref
8162
remove
appTerm
8120
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8151
remove
301
ref
1680
ref
8120
ref
appTerm
8163
def
appTerm
refl
appThm
trans
8153
remove
8157
remove
assume
8164
def
appThm
eqMp
sym
nil
149
ref
8163
ref
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
nil
149
ref
8120
ref
nil
cons
cons
nil
cons
nil
cons
cons
8165
def
1684
remove
subst
8166
def
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
8158
remove
cons
8167
def
8156
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
8119
ref
appTerm
8168
def
betaConv
1406
ref
nil
1407
ref
119
ref
8168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
8135
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8169
def
nil
8167
ref
164
ref
8142
remove
cons
8170
def
1064
ref
8139
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
8117
ref
cons
164
ref
8124
ref
cons
nil
cons
8171
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8115
remove
141
ref
appTerm
8172
def
nil
cons
8173
def
cons
8125
remove
cons
nil
cons
cons
8174
def
136
ref
subst
8174
remove
195
ref
subst
8131
remove
"_12897"
3
ref
var
8175
def
7
ref
7
ref
8175
remove
varTerm
8176
def
appTerm
8121
ref
appTerm
appTerm
7
ref
8122
ref
8176
remove
appTerm
appTerm
8123
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8132
remove
7
ref
301
ref
8121
ref
appTerm
appTerm
7
ref
8122
remove
141
ref
appTerm
appTerm
8123
ref
appTerm
appTerm
refl
appThm
trans
8133
remove
8172
remove
assume
appThm
eqMp
sym
235
ref
8134
remove
305
ref
subst
appThm
235
ref
8136
remove
3799
ref
subst
appThm
8137
remove
appThm
nil
149
ref
8123
ref
nil
cons
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
sym
nil
8143
ref
119
ref
7
ref
8121
remove
appTerm
8123
remove
appTerm
nil
cons
8177
def
cons
nil
cons
8178
def
cons
nil
cons
cons
8179
def
136
ref
subst
8179
remove
195
ref
subst
120
ref
"_12903"
3
ref
var
8180
def
7
ref
7
ref
19
ref
8180
remove
varTerm
8181
def
appTerm
appTerm
8120
ref
appTerm
appTerm
883
ref
8181
remove
appTerm
8120
ref
appTerm
appTerm
absTerm
8182
def
8119
ref
appTerm
8183
def
appTerm
refl
8184
def
8182
ref
539
ref
appTerm
betaConv
appThm
166
ref
8183
remove
betaConv
appThm
8185
def
7
ref
1276
ref
8120
ref
appTerm
appTerm
8152
remove
appTerm
refl
appThm
trans
8182
remove
refl
8186
def
8154
ref
appThm
eqMp
sym
235
ref
1375
remove
8120
ref
refl
8187
def
appThm
8165
ref
305
ref
subst
8188
def
trans
appThm
8165
ref
1703
ref
subst
appThm
8165
ref
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
8155
ref
164
ref
8177
ref
cons
nil
cons
8189
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
8159
ref
8178
remove
cons
nil
cons
cons
8190
def
136
ref
subst
8190
remove
195
ref
subst
8184
remove
"_12901"
3
ref
var
8191
def
7
ref
7
ref
19
ref
8191
remove
varTerm
8192
def
appTerm
appTerm
8120
ref
appTerm
appTerm
883
ref
8192
remove
appTerm
8120
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8185
remove
7
ref
1391
remove
8120
ref
appTerm
appTerm
8163
remove
appTerm
refl
appThm
trans
8186
remove
8164
ref
appThm
eqMp
sym
235
ref
1396
remove
8187
ref
appThm
8165
remove
1062
ref
subst
8193
def
trans
appThm
8166
remove
appThm
1381
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
8167
ref
8189
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
8169
ref
nil
8167
ref
8170
ref
1064
ref
8177
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
8173
remove
cons
8194
def
8171
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
ref
8114
ref
appTerm
8195
def
betaConv
1406
ref
nil
1407
ref
119
ref
8195
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
ref
284
ref
8114
ref
nil
cons
8196
def
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
8194
remove
164
ref
8117
remove
cons
1064
ref
8124
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
8025
remove
cons
8197
def
164
ref
8028
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
8018
remove
cons
119
ref
12
ref
3462
ref
3466
ref
12
ref
14
ref
7879
ref
7
ref
108
ref
8027
remove
appTerm
115
remove
1163
remove
appTerm
2942
ref
appTerm
249
ref
appTerm
8198
def
appTerm
appTerm
3725
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
8038
ref
7
ref
8052
remove
72
ref
appTerm
8199
def
appTerm
8200
def
12
ref
14
ref
7879
ref
7
ref
8063
remove
8198
ref
appTerm
appTerm
8047
ref
25
ref
appTerm
8201
def
appTerm
appTerm
absTerm
appTerm
appTerm
8202
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
8038
remove
nil
149
ref
8202
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
166
ref
"_12934"
97
ref
var
8203
def
8200
ref
12
ref
14
ref
7879
ref
7
ref
108
ref
8203
remove
varTerm
appTerm
8198
ref
appTerm
appTerm
8201
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
8204
def
8050
remove
appTerm
betaConv
appThm
306
ref
8065
remove
8204
ref
2942
ref
appTerm
betaConv
appThm
appThm
8071
remove
8204
ref
8049
remove
appTerm
betaConv
appThm
appThm
appThm
8076
remove
nil
8077
ref
8204
remove
nil
cons
cons
nil
cons
nil
cons
cons
8078
ref
subst
subst
eqMp
sym
nil
8079
remove
119
ref
8200
ref
12
ref
14
ref
7879
ref
7
ref
3753
ref
8198
ref
appTerm
appTerm
8205
def
8201
ref
appTerm
appTerm
absTerm
appTerm
8206
def
appTerm
8207
def
nil
cons
8208
def
cons
nil
cons
cons
nil
cons
cons
8209
def
136
ref
subst
8209
remove
195
ref
subst
nil
117
ref
8199
remove
nil
cons
8210
def
cons
119
ref
8206
remove
nil
cons
8211
def
cons
nil
cons
cons
nil
cons
cons
8212
def
136
ref
subst
8212
remove
195
ref
subst
120
ref
"_12940"
9
ref
var
8213
def
12
ref
14
ref
7879
ref
8205
ref
22
ref
8213
remove
varTerm
appTerm
25
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
8214
def
8039
ref
appTerm
8215
def
appTerm
refl
8214
ref
23
ref
appTerm
betaConv
appThm
166
ref
8215
remove
betaConv
appThm
12
ref
14
ref
7879
ref
8205
remove
26
ref
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
8214
remove
refl
8048
ref
assume
appThm
eqMp
sym
nil
188
ref
4629
ref
7
ref
6558
remove
72
ref
appTerm
appTerm
8216
def
7
ref
3753
ref
8010
ref
appTerm
appTerm
4635
ref
appTerm
appTerm
8217
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
4629
ref
nil
149
ref
8217
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
166
ref
"_12956"
97
ref
var
8218
def
8216
ref
7
ref
3753
ref
8218
remove
varTerm
appTerm
appTerm
4635
ref
appTerm
appTerm
absTerm
8219
def
8010
ref
appTerm
betaConv
appThm
306
ref
7
ref
8009
ref
appTerm
8220
def
refl
8221
def
8219
ref
2942
ref
appTerm
betaConv
appThm
appThm
7
ref
19
ref
8009
ref
appTerm
8222
def
appTerm
8223
def
refl
8224
def
8219
ref
6561
ref
appTerm
betaConv
appThm
appThm
appThm
nil
8072
remove
6583
remove
cons
8074
remove
639
remove
8009
ref
nil
cons
8225
def
cons
nil
cons
cons
cons
nil
cons
cons
8226
def
nil
8077
ref
8219
remove
nil
cons
cons
nil
cons
nil
cons
cons
8078
ref
subst
subst
eqMp
sym
nil
117
ref
8225
ref
cons
8227
def
119
ref
8216
ref
7
ref
8080
remove
appTerm
4635
ref
appTerm
appTerm
8228
def
nil
cons
8229
def
cons
nil
cons
cons
nil
cons
cons
8230
def
136
ref
subst
8230
remove
195
ref
subst
235
ref
3806
remove
8009
ref
assume
8231
def
appThm
310
remove
appThm
appThm
nil
117
ref
4657
ref
cons
2963
ref
cons
nil
cons
cons
2394
ref
3868
remove
subst
8232
def
subst
24
ref
refl
8233
def
8231
ref
appThm
274
remove
trans
trans
appThm
nil
149
ref
3630
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
162
ref
8225
ref
cons
8234
def
164
ref
8229
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8220
ref
8228
remove
appTerm
nil
cons
cons
119
ref
8223
ref
8216
remove
7
ref
3753
ref
6561
ref
appTerm
8235
def
appTerm
8236
def
4635
ref
appTerm
appTerm
8237
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
8222
ref
nil
cons
8238
def
cons
8239
def
119
ref
8237
remove
nil
cons
8240
def
cons
nil
cons
cons
nil
cons
cons
8241
def
136
ref
subst
8241
remove
195
ref
subst
235
ref
nil
723
ref
4674
ref
cons
nil
cons
cons
2282
ref
subst
1675
ref
nil
8239
ref
119
ref
120
ref
8009
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
8234
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
8242
def
appThm
6559
ref
refl
appThm
6586
remove
1703
ref
subst
8243
def
trans
trans
appThm
8236
remove
refl
537
ref
4635
ref
assume
sym
8231
ref
sym
deductAntisym
appThm
8222
remove
assume
eqMp
nil
117
ref
19
ref
4635
ref
appTerm
nil
cons
cons
119
ref
120
ref
4635
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
4657
remove
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
nil
149
ref
8235
ref
nil
cons
8244
def
cons
nil
cons
nil
cons
cons
1010
ref
subst
8245
def
trans
appThm
sym
nil
7394
ref
119
ref
19
ref
8235
ref
appTerm
nil
cons
8246
def
cons
nil
cons
cons
nil
cons
cons
8247
def
136
ref
subst
8247
remove
195
ref
subst
8245
remove
nil
117
ref
8244
ref
cons
549
ref
cons
nil
cons
cons
8248
def
136
ref
subst
8248
remove
195
ref
subst
nil
8016
ref
549
ref
cons
nil
cons
cons
187
ref
subst
8249
def
6733
remove
1010
ref
subst
537
ref
8019
ref
appThm
166
ref
537
ref
2406
ref
2400
ref
8105
ref
absThm
appThm
appThm
appThm
3951
ref
2400
ref
537
ref
8105
remove
appThm
absThm
appThm
appThm
nil
7372
ref
8106
remove
cons
nil
cons
nil
cons
cons
2394
ref
1735
ref
subst
subst
eqMp
trans
trans
sym
8250
def
2400
ref
19
ref
7754
remove
appTerm
absTerm
8251
def
2942
ref
appTerm
betaConv
sym
8252
def
537
ref
235
ref
1198
ref
"_12962"
9
ref
var
8253
def
306
ref
3189
ref
8235
remove
assume
appThm
247
ref
8253
remove
varTerm
8254
def
appTerm
refl
appThm
appThm
78
ref
8254
remove
appTerm
63
ref
appTerm
refl
appThm
absThm
appThm
appThm
7978
ref
appThm
nil
149
ref
451
ref
7422
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
8255
def
1010
ref
subst
trans
appThm
8255
remove
1605
ref
subst
trans
sym
7423
remove
eqMp
eqMp
2393
ref
2391
ref
8251
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
1192
ref
subst
8256
def
proveHyp
eqMp
eqMp
eqMp
nil
162
ref
8244
remove
cons
1027
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6567
ref
164
ref
8246
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
8238
remove
cons
8257
def
164
ref
8240
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
162
ref
8210
remove
cons
164
ref
8211
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
8085
ref
164
ref
8208
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8064
remove
8207
remove
appTerm
nil
cons
cons
119
ref
8070
remove
8200
remove
12
ref
14
ref
7879
remove
7
ref
8086
ref
8198
remove
appTerm
appTerm
8201
ref
appTerm
8258
def
appTerm
absTerm
appTerm
appTerm
8259
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
8092
ref
119
ref
8259
remove
nil
cons
8260
def
cons
nil
cons
cons
nil
cons
cons
8261
def
136
ref
subst
8261
remove
195
ref
subst
235
ref
nil
723
ref
8103
ref
cons
nil
cons
cons
2282
ref
subst
1675
ref
nil
8092
remove
119
ref
120
ref
8048
remove
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
8085
remove
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
8053
ref
refl
appThm
8101
remove
1703
remove
subst
trans
trans
appThm
236
ref
14
ref
235
ref
3828
remove
appThm
8258
ref
refl
appThm
absThm
appThm
appThm
sym
nil
117
ref
8056
ref
cons
119
ref
12
ref
14
ref
7
ref
3829
remove
3644
ref
appTerm
appTerm
8258
remove
appTerm
absTerm
appTerm
nil
cons
8262
def
cons
nil
cons
cons
nil
cons
cons
8263
def
136
ref
subst
8263
remove
195
ref
subst
nil
188
ref
4629
ref
7
ref
883
ref
8009
ref
appTerm
6559
ref
appTerm
appTerm
8264
def
7
ref
8086
ref
8010
ref
appTerm
appTerm
8047
remove
4630
ref
appTerm
8265
def
appTerm
appTerm
8266
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
4629
remove
nil
149
ref
8266
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
166
ref
"_12965"
97
remove
var
8267
def
8264
ref
7
ref
8086
ref
8267
remove
varTerm
appTerm
appTerm
8265
ref
appTerm
appTerm
absTerm
8268
def
8010
remove
appTerm
betaConv
appThm
306
ref
8221
remove
8268
ref
2942
ref
appTerm
betaConv
appThm
appThm
8224
remove
8268
ref
6561
ref
appTerm
betaConv
appThm
appThm
appThm
8226
remove
nil
8077
remove
8268
remove
nil
cons
cons
nil
cons
nil
cons
cons
8078
remove
subst
subst
eqMp
sym
nil
8227
remove
119
ref
8264
ref
7
ref
8087
ref
appTerm
8265
ref
appTerm
8269
def
appTerm
8270
def
nil
cons
8271
def
cons
nil
cons
cons
nil
cons
cons
8272
def
136
ref
subst
8272
remove
195
ref
subst
120
ref
"_12967"
3
ref
var
8273
def
7
ref
883
ref
8273
remove
varTerm
appTerm
6559
ref
appTerm
appTerm
8269
ref
appTerm
absTerm
8274
def
8009
ref
appTerm
8275
def
appTerm
refl
8274
ref
141
ref
appTerm
betaConv
appThm
166
ref
8275
remove
betaConv
appThm
7
ref
1680
remove
6559
ref
appTerm
8276
def
appTerm
8269
ref
appTerm
refl
appThm
trans
8274
remove
refl
nil
149
ref
8225
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
8231
remove
eqMp
appThm
eqMp
sym
nil
117
ref
8276
remove
nil
cons
8277
def
cons
119
ref
8269
remove
nil
cons
8278
def
cons
nil
cons
cons
nil
cons
cons
8279
def
136
ref
subst
8279
remove
195
ref
subst
nil
117
ref
8087
ref
nil
cons
8280
def
cons
119
ref
8265
ref
nil
cons
8281
def
cons
nil
cons
8282
def
cons
nil
cons
cons
8283
def
136
ref
subst
8283
remove
195
ref
subst
8249
remove
8250
remove
8252
remove
537
ref
6773
ref
refl
7978
remove
appThm
nil
149
ref
3758
ref
nil
cons
8284
def
cons
nil
cons
nil
cons
cons
8285
def
1010
ref
subst
trans
appThm
8285
remove
1605
remove
subst
trans
sym
3757
ref
8039
ref
appTerm
betaConv
sym
306
ref
3753
remove
refl
8286
def
8087
remove
assume
appThm
8084
ref
trans
appThm
8102
ref
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
6776
ref
8103
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
eqMp
8256
remove
proveHyp
eqMp
eqMp
nil
162
ref
8281
ref
cons
nil
cons
nil
cons
cons
560
remove
subst
proveHyp
eqMp
nil
162
ref
8280
remove
cons
164
ref
8281
ref
cons
nil
cons
8287
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
8277
remove
cons
164
ref
8278
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
8234
remove
164
ref
8271
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8220
remove
8270
remove
appTerm
nil
cons
cons
119
ref
8223
remove
8264
remove
7
ref
8086
ref
6561
ref
appTerm
8288
def
appTerm
8265
ref
appTerm
8289
def
appTerm
8290
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
8239
remove
119
ref
8290
remove
nil
cons
8291
def
cons
nil
cons
cons
nil
cons
cons
8292
def
136
ref
subst
8292
remove
195
ref
subst
120
ref
"_12969"
3
ref
var
8293
def
7
ref
883
ref
8293
remove
varTerm
appTerm
6559
ref
appTerm
appTerm
8289
ref
appTerm
absTerm
8294
def
8009
remove
appTerm
8295
def
appTerm
refl
8294
ref
539
ref
appTerm
betaConv
appThm
166
ref
8295
remove
betaConv
appThm
7
ref
1699
remove
6559
remove
appTerm
appTerm
8289
ref
appTerm
refl
appThm
trans
8294
remove
refl
8242
remove
appThm
eqMp
sym
235
ref
8243
remove
appThm
8289
ref
refl
appThm
sym
nil
7394
remove
119
ref
8289
remove
nil
cons
8296
def
cons
nil
cons
cons
nil
cons
cons
8297
def
136
ref
subst
8297
remove
195
ref
subst
nil
117
ref
8288
ref
nil
cons
8298
def
cons
8282
ref
cons
nil
cons
cons
8299
def
136
ref
subst
8299
remove
195
ref
subst
7868
ref
8039
remove
appTerm
8300
def
betaConv
nil
117
ref
8007
remove
cons
119
ref
8300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
7868
remove
nil
cons
cons
8103
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
8053
remove
appTerm
12
ref
14
ref
6998
ref
7
ref
8086
remove
249
ref
appTerm
appTerm
8201
ref
appTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
8282
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
8102
remove
appThm
236
ref
14
ref
6998
ref
refl
235
ref
3189
ref
8288
remove
assume
appThm
3833
remove
appThm
appThm
8201
ref
refl
appThm
appThm
absThm
appThm
appThm
nil
149
ref
12
ref
14
ref
6998
ref
7
ref
6562
ref
249
ref
appTerm
appTerm
8201
remove
appTerm
appTerm
absTerm
8301
def
appTerm
nil
cons
8302
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
8265
ref
refl
8303
def
appThm
sym
nil
117
ref
8302
ref
cons
8304
def
8282
ref
cons
nil
cons
cons
8305
def
136
ref
subst
8305
remove
195
ref
subst
8301
ref
4630
remove
appTerm
8306
def
betaConv
nil
8304
remove
119
ref
8306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
8301
remove
nil
cons
cons
4674
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7386
remove
7
ref
6562
remove
6561
remove
appTerm
appTerm
8265
remove
appTerm
appTerm
nil
cons
cons
8282
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
6587
remove
appThm
nil
117
ref
8281
ref
cons
6584
remove
cons
nil
cons
cons
8232
remove
subst
appThm
nil
149
ref
8281
remove
cons
nil
cons
nil
cons
cons
8307
def
305
ref
subst
trans
appThm
8303
remove
appThm
8307
remove
318
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
8302
remove
cons
8287
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
162
ref
8298
remove
cons
8287
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
6567
remove
164
ref
8296
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
8257
remove
164
ref
8291
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
162
ref
8056
remove
cons
164
ref
8262
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
8108
remove
164
ref
8260
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
260
ref
261
ref
7941
remove
nil
cons
cons
262
ref
8012
remove
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
8004
remove
cons
164
ref
7962
remove
cons
nil
cons
8308
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
8002
remove
cons
8308
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
257
ref
262
ref
7
ref
7871
ref
2436
ref
appTerm
appTerm
7942
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
7872
remove
appTerm
7942
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
7871
remove
nil
cons
cons
8308
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
7846
remove
cons
8308
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7947
remove
cons
164
ref
7948
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
7929
remove
appTerm
7933
remove
appTerm
nil
cons
cons
119
ref
2365
ref
2347
ref
7918
remove
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
2347
ref
7899
remove
absTerm
8309
def
2488
ref
appTerm
betaConv
appThm
2406
ref
2400
ref
3312
ref
2347
ref
235
ref
306
ref
8309
ref
2349
ref
appTerm
betaConv
8310
def
appThm
7931
remove
refl
appThm
appThm
8309
ref
7932
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
3312
ref
2347
ref
7850
remove
8310
remove
appThm
absThm
appThm
appThm
nil
"p"
2315
remove
var
8311
def
8309
remove
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
1051
ref
subst
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
7890
remove
cons
164
ref
7891
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
7867
remove
appTerm
7889
remove
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
ref
7875
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
7875
remove
absTerm
8312
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
8312
ref
63
ref
appTerm
betaConv
8313
def
appThm
1033
ref
appThm
appThm
8312
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
8313
remove
appThm
absThm
appThm
appThm
nil
1034
ref
8312
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
eqMp
eqMp
8314
def
nil
59
ref
60
ref
2365
ref
2347
ref
7
ref
498
ref
7845
remove
appTerm
appTerm
7841
ref
appTerm
8315
def
absTerm
8316
def
appTerm
8317
def
absTerm
8318
def
appTerm
8319
def
thm
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
235
ref
3370
ref
12
ref
13
ref
630
ref
43
ref
2316
ref
3354
ref
appTerm
8320
def
appTerm
8321
def
2469
ref
2470
ref
3354
ref
appTerm
8322
def
appTerm
36
ref
appTerm
8323
def
appTerm
8324
def
appTerm
absTerm
appTerm
8325
def
refl
8326
def
appThm
nil
2103
ref
8325
ref
nil
cons
8327
def
cons
2106
ref
3390
remove
cons
2107
ref
588
remove
cons
nil
cons
cons
8328
def
cons
nil
cons
cons
2103
ref
120
ref
43
ref
3700
remove
appTerm
2113
ref
appTerm
appTerm
3699
ref
3701
remove
2113
ref
appTerm
appTerm
appTerm
absTerm
8329
def
2113
remove
appTerm
8330
def
betaConv
2106
ref
280
ref
8329
ref
appTerm
8331
def
absTerm
8332
def
2111
ref
appTerm
8333
def
betaConv
2107
ref
280
ref
8332
ref
appTerm
8334
def
absTerm
8335
def
2109
ref
appTerm
8336
def
betaConv
nil
280
ref
8335
ref
appTerm
8337
def
axiom
nil
117
ref
8337
remove
nil
cons
cons
119
ref
8336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8335
remove
nil
cons
cons
2135
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8334
remove
nil
cons
cons
119
ref
8333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8332
remove
nil
cons
cons
2136
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8331
remove
nil
cons
cons
119
ref
8330
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8329
remove
nil
cons
cons
2137
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8338
def
subst
trans
appThm
2483
ref
2484
ref
6006
ref
refl
8339
def
nil
6004
remove
3437
remove
cons
nil
cons
nil
cons
cons
8340
def
94
remove
"B"
2383
remove
cons
nil
cons
cons
96
ref
cons
8341
def
60
ref
2486
ref
4288
ref
4290
ref
451
ref
13
ref
5965
remove
80
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2474
ref
appTerm
absTerm
8342
def
63
ref
appTerm
8343
def
betaConv
246
ref
59
ref
8342
ref
appTerm
8344
def
absTerm
8345
def
247
ref
appTerm
8346
def
betaConv
nil
257
ref
8345
ref
appTerm
8347
def
axiom
nil
117
ref
8347
remove
nil
cons
cons
119
ref
8346
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
8345
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8344
remove
nil
cons
cons
119
ref
8343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
8342
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
appThm
appThm
appThm
3329
ref
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
nil
1069
ref
2469
ref
2470
ref
6006
ref
2471
remove
2
ref
3351
remove
2
ref
49
remove
6007
ref
cons
opType
nil
cons
cons
opType
constTerm
3353
ref
appTerm
8348
def
63
ref
appTerm
8349
def
appTerm
8350
def
appTerm
8351
def
appTerm
8352
def
3300
ref
appTerm
8353
def
nil
cons
cons
119
ref
43
ref
3371
remove
appTerm
8354
def
8325
ref
appTerm
8355
def
nil
cons
cons
3391
ref
cons
cons
nil
cons
cons
3387
ref
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
166
ref
237
ref
32
ref
299
ref
32
ref
7
ref
8355
remove
appTerm
8353
remove
appTerm
absTerm
8356
def
36
ref
appTerm
8357
def
betaConv
8358
def
appThm
absThm
appThm
appThm
299
ref
237
ref
32
ref
8358
ref
absThm
appThm
appThm
appThm
nil
1621
ref
8356
ref
nil
cons
8359
def
cons
3391
ref
cons
nil
cons
cons
3402
ref
subst
eqMp
absThm
appThm
166
ref
237
ref
379
ref
299
ref
379
ref
17
ref
8356
remove
appTerm
8360
def
absTerm
8361
def
382
ref
appTerm
8362
def
betaConv
8363
def
appThm
absThm
appThm
appThm
299
ref
237
ref
379
ref
8363
ref
absThm
appThm
appThm
appThm
nil
1621
ref
8361
ref
nil
cons
8364
def
cons
3391
ref
cons
nil
cons
cons
3402
ref
subst
eqMp
trans
absThm
appThm
166
ref
3369
ref
3352
ref
299
ref
3352
ref
17
ref
8361
remove
appTerm
8365
def
absTerm
8366
def
3353
ref
appTerm
8367
def
betaConv
8368
def
appThm
absThm
appThm
appThm
299
ref
3369
ref
3352
ref
8368
ref
absThm
appThm
appThm
appThm
nil
3413
ref
8366
ref
nil
cons
8369
def
cons
3391
ref
cons
nil
cons
cons
3417
ref
subst
eqMp
trans
absThm
appThm
sym
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
235
ref
306
ref
3430
remove
appThm
8370
def
12
ref
13
ref
2770
remove
8324
ref
appTerm
absTerm
appTerm
8371
def
refl
appThm
appThm
2483
ref
2484
ref
8339
ref
8340
ref
8341
ref
2492
remove
subst
subst
appThm
2394
ref
nil
465
ref
5937
ref
6342
ref
appTerm
appTerm
56
ref
appTerm
axiom
8372
def
subst
trans
appThm
2493
remove
trans
appThm
3329
remove
appThm
nil
32
ref
3300
ref
nil
cons
cons
nil
cons
nil
cons
cons
2500
ref
subst
trans
appThm
nil
149
ref
43
ref
3439
remove
appTerm
8373
def
8371
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
296
ref
trans
absThm
appThm
296
remove
trans
absThm
appThm
289
ref
3416
remove
294
ref
subst
subst
trans
sym
155
ref
eqMp
nil
117
ref
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
43
ref
3419
remove
appTerm
8374
def
8371
remove
appTerm
appTerm
2469
ref
2470
ref
6006
ref
8348
ref
56
ref
appTerm
appTerm
appTerm
appTerm
3300
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
8375
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
3365
ref
8366
remove
appTerm
8376
def
appTerm
965
ref
appTerm
8377
def
appTerm
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
43
ref
3461
remove
appTerm
8378
def
12
ref
3462
ref
3466
remove
43
ref
2316
ref
3467
ref
appTerm
8379
def
appTerm
2469
ref
2470
ref
3467
ref
appTerm
appTerm
36
ref
appTerm
8380
def
appTerm
8381
def
appTerm
8382
def
absTerm
8383
def
appTerm
8384
def
appTerm
8385
def
appTerm
2469
ref
2470
ref
6006
ref
8348
remove
72
ref
appTerm
appTerm
appTerm
appTerm
8386
def
3300
ref
appTerm
8387
def
appTerm
8388
def
absTerm
8389
def
appTerm
8390
def
absTerm
8391
def
appTerm
8392
def
absTerm
8393
def
appTerm
8394
def
appTerm
8395
def
absTerm
8396
def
appTerm
8397
def
absTerm
8398
def
appTerm
8399
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
8398
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
8397
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
8396
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8395
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8377
remove
nil
cons
8400
def
cons
119
ref
8394
remove
nil
cons
8401
def
cons
nil
cons
cons
nil
cons
cons
8402
def
136
ref
subst
8402
remove
195
ref
subst
nil
162
ref
8376
ref
nil
cons
8403
def
cons
995
remove
cons
nil
cons
cons
8404
def
178
ref
subst
8404
remove
436
ref
subst
998
remove
999
remove
nil
3418
ref
8393
remove
nil
cons
cons
nil
cons
nil
cons
cons
3428
ref
subst
3352
ref
nil
149
ref
8392
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
8391
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
8390
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
8389
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
8388
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
43
ref
3493
ref
appTerm
8405
def
8384
ref
appTerm
8406
def
nil
cons
8407
def
cons
8408
def
119
ref
120
ref
8387
ref
appTerm
8409
def
8387
ref
appTerm
8410
def
nil
cons
8411
def
cons
nil
cons
cons
nil
cons
cons
8412
def
136
ref
subst
8412
remove
195
ref
subst
8387
ref
refl
eqMp
nil
162
ref
8407
ref
cons
8413
def
164
ref
8411
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
8406
ref
appTerm
8414
def
8410
remove
appTerm
nil
cons
cons
119
ref
120
ref
8388
remove
appTerm
8415
def
8414
ref
8387
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
8387
remove
nil
cons
8416
def
cons
nil
cons
nil
cons
cons
306
ref
3504
remove
appThm
8384
ref
refl
appThm
nil
117
ref
120
ref
8385
ref
appTerm
8417
def
8406
remove
appTerm
nil
cons
cons
119
ref
7
ref
8414
ref
8409
remove
1450
ref
appTerm
8418
def
appTerm
appTerm
8415
ref
8414
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
8407
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
8417
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
8418
remove
appTerm
appTerm
8415
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
8419
def
1450
ref
appTerm
8420
def
betaConv
1452
ref
280
ref
8419
ref
appTerm
8421
def
absTerm
8422
def
1453
ref
appTerm
8423
def
betaConv
nil
119
ref
8416
ref
cons
8424
def
117
ref
8385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
8422
ref
appTerm
nil
cons
cons
119
ref
8423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8422
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8421
remove
nil
cons
cons
119
ref
8420
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8419
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
nil
8408
remove
8424
remove
nil
cons
cons
nil
cons
cons
8425
def
136
ref
subst
8425
remove
195
ref
subst
nil
3499
ref
164
ref
8384
remove
nil
cons
8426
def
cons
nil
cons
cons
nil
cons
cons
8427
def
178
ref
subst
8427
remove
436
ref
subst
120
ref
"_11699"
0
ref
var
8428
def
8386
ref
3284
ref
8428
remove
varTerm
appTerm
36
ref
appTerm
appTerm
absTerm
8429
def
382
ref
appTerm
8430
def
appTerm
refl
8429
ref
228
ref
appTerm
betaConv
appThm
166
ref
8430
remove
betaConv
appThm
8386
remove
3551
ref
appTerm
refl
appThm
trans
8429
remove
refl
3493
remove
assume
sym
8431
def
appThm
eqMp
sym
2483
ref
2484
remove
8339
remove
8340
ref
8341
ref
2529
remove
subst
subst
appThm
nil
"u"
6005
ref
var
8432
def
8349
ref
nil
cons
8433
def
cons
3640
remove
nil
cons
8434
def
cons
nil
cons
cons
2394
ref
"u"
5740
ref
var
8435
def
465
ref
5937
ref
6341
remove
63
ref
appTerm
8435
remove
varTerm
8436
def
appTerm
appTerm
appTerm
4002
remove
5937
ref
8436
ref
appTerm
appTerm
appTerm
absTerm
8437
def
8436
ref
appTerm
8438
def
betaConv
60
ref
5950
ref
8437
ref
appTerm
8439
def
absTerm
8440
def
63
ref
appTerm
8441
def
betaConv
nil
59
ref
8440
ref
appTerm
8442
def
axiom
nil
117
ref
8442
remove
nil
cons
cons
119
ref
8441
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
8440
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8439
remove
nil
cons
cons
119
ref
8438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
ref
5953
ref
8437
remove
nil
cons
cons
5954
ref
8436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
8443
def
subst
trans
appThm
appThm
6192
ref
32
ref
31
ref
3284
ref
383
remove
appTerm
36
ref
appTerm
appTerm
349
ref
3300
ref
appTerm
36
ref
appTerm
appTerm
absTerm
8444
def
36
ref
appTerm
8445
def
betaConv
379
ref
17
ref
8444
ref
appTerm
8446
def
absTerm
8447
def
382
ref
appTerm
8448
def
betaConv
nil
17
ref
8447
ref
appTerm
8449
def
axiom
nil
117
ref
8449
remove
nil
cons
cons
119
ref
8448
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8447
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8446
remove
nil
cons
cons
119
ref
8445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8444
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
8450
def
appThm
sym
2469
ref
2470
ref
3559
remove
2
ref
2314
ref
2517
remove
cons
opType
constTerm
8451
def
3354
ref
appTerm
8350
ref
appTerm
appTerm
8452
def
appTerm
8453
def
refl
nil
379
ref
3860
ref
nil
cons
8454
def
cons
nil
cons
nil
cons
cons
6191
remove
subst
8455
def
appThm
sym
7050
remove
43
ref
8453
ref
7051
ref
appTerm
appTerm
2469
ref
7051
remove
appTerm
350
remove
3860
ref
appTerm
8456
def
appTerm
appTerm
absTerm
8457
def
349
ref
8322
ref
appTerm
8351
ref
appTerm
8458
def
appTerm
betaConv
sym
8383
ref
23
ref
appTerm
8459
def
betaConv
nil
117
ref
8426
remove
cons
8460
def
119
ref
8459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
8383
ref
nil
cons
cons
8461
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8462
def
nil
117
ref
7
ref
3629
remove
appTerm
8324
ref
appTerm
nil
cons
cons
8463
def
119
ref
8320
ref
nil
cons
8464
def
cons
nil
cons
8465
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
3628
remove
appThm
8324
ref
refl
appThm
nil
149
ref
8324
remove
nil
cons
8466
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
8467
def
8320
remove
refl
appThm
sym
nil
117
ref
8466
ref
cons
8468
def
8465
remove
cons
nil
cons
cons
8469
def
136
ref
subst
8469
remove
195
ref
subst
nil
162
ref
8464
ref
cons
164
ref
8323
ref
nil
cons
8470
def
cons
nil
cons
8471
def
cons
nil
cons
cons
8472
def
178
ref
subst
eqMp
nil
162
ref
8466
remove
cons
8473
def
164
ref
8464
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
8464
remove
cons
119
ref
2316
ref
8350
ref
appTerm
8474
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
625
ref
119
ref
120
ref
61
remove
2
ref
6005
ref
4
ref
cons
opType
8475
def
constTerm
8349
ref
appTerm
8476
def
appTerm
141
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
8340
ref
8341
ref
6534
remove
subst
subst
eqMp
sym
155
ref
eqMp
nil
117
ref
8476
remove
nil
cons
cons
119
ref
120
ref
8474
ref
appTerm
2365
ref
2347
ref
7
ref
76
remove
2
ref
2314
ref
8475
remove
nil
cons
8477
def
cons
opType
constTerm
8478
def
2349
ref
appTerm
8349
ref
appTerm
appTerm
2350
ref
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"s"
6005
ref
var
8479
def
8433
remove
cons
nil
cons
nil
cons
cons
2394
ref
5822
ref
6306
remove
5941
remove
5946
remove
appTerm
appTerm
absTerm
8480
def
5939
ref
appTerm
8481
def
betaConv
nil
5950
ref
8480
ref
appTerm
8482
def
axiom
nil
117
ref
8482
remove
nil
cons
cons
119
ref
8481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
ref
5953
ref
8480
remove
nil
cons
cons
5955
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
sym
nil
2381
ref
"y"
2314
ref
var
8483
def
7
ref
8478
remove
8483
ref
varTerm
8484
def
appTerm
8349
remove
appTerm
appTerm
2316
ref
8484
ref
appTerm
8485
def
appTerm
8486
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
8483
ref
nil
149
ref
8486
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
8340
remove
8341
remove
3768
ref
subst
subst
appThm
8485
ref
refl
appThm
sym
nil
188
ref
3462
ref
7
ref
13
ref
43
ref
2486
ref
8484
ref
appTerm
8487
def
3354
ref
appTerm
appTerm
80
ref
appTerm
absTerm
8488
def
3463
ref
appTerm
8489
def
appTerm
8485
ref
appTerm
8490
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
8490
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8489
ref
nil
cons
8491
def
cons
119
ref
8485
ref
nil
cons
8492
def
cons
nil
cons
8493
def
cons
nil
cons
cons
8494
def
136
ref
subst
8494
remove
195
ref
subst
8489
ref
betaConv
8489
remove
assume
eqMp
nil
117
ref
43
ref
8487
remove
3467
ref
appTerm
8495
def
appTerm
3575
ref
appTerm
nil
cons
8496
def
cons
8493
remove
cons
nil
cons
cons
8497
def
187
ref
subst
proveHyp
8497
ref
136
ref
subst
8497
remove
195
ref
subst
nil
162
ref
8495
ref
nil
cons
cons
3783
ref
cons
nil
cons
cons
8498
def
178
ref
subst
8498
remove
436
ref
subst
120
ref
"_11707"
2314
ref
var
8499
def
2316
remove
8499
remove
varTerm
appTerm
absTerm
8500
def
8484
remove
appTerm
8501
def
appTerm
refl
8500
ref
3467
ref
appTerm
betaConv
appThm
166
ref
8501
remove
betaConv
appThm
8379
ref
refl
8502
def
appThm
trans
8500
remove
refl
8495
remove
assume
appThm
eqMp
sym
8383
remove
3463
ref
appTerm
8503
def
betaConv
nil
8460
remove
119
ref
8503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
8461
remove
3635
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8504
def
nil
117
ref
8382
remove
nil
cons
cons
119
ref
8379
remove
nil
cons
8505
def
cons
nil
cons
8506
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
3800
remove
appThm
8381
ref
refl
appThm
nil
149
ref
8381
ref
nil
cons
8507
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
8508
def
appThm
8502
remove
appThm
sym
nil
117
ref
8507
ref
cons
8506
remove
cons
nil
cons
cons
8509
def
136
ref
subst
8509
remove
195
ref
subst
nil
162
ref
8505
ref
cons
164
ref
8380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
eqMp
nil
162
ref
8507
ref
cons
164
ref
8505
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
8496
remove
cons
164
ref
8492
remove
cons
nil
cons
8510
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
8491
remove
cons
8510
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
8488
ref
23
ref
appTerm
appTerm
8485
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
451
ref
8488
ref
appTerm
appTerm
8485
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
8488
remove
nil
cons
cons
8510
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
8321
remove
8474
remove
appTerm
nil
cons
cons
119
ref
8453
ref
8458
ref
appTerm
nil
cons
8511
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
2347
ref
8350
remove
nil
cons
cons
8434
remove
cons
nil
cons
cons
2394
ref
5353
remove
subst
subst
eqMp
nil
117
ref
8511
remove
cons
119
ref
2469
ref
8458
ref
appTerm
8456
ref
appTerm
nil
cons
cons
nil
cons
8512
def
cons
nil
cons
cons
195
ref
subst
proveHyp
8462
remove
nil
8463
remove
119
ref
8470
ref
cons
nil
cons
8513
def
cons
nil
cons
cons
187
ref
subst
proveHyp
8467
remove
8323
ref
refl
appThm
sym
nil
8468
remove
8513
remove
cons
nil
cons
cons
8514
def
136
ref
subst
8514
remove
195
ref
subst
8472
remove
436
ref
subst
eqMp
nil
8473
remove
8471
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
8470
remove
cons
119
ref
8352
remove
3860
ref
appTerm
8515
def
nil
cons
cons
nil
cons
8516
def
cons
nil
cons
cons
195
ref
subst
proveHyp
6847
ref
8326
remove
appThm
nil
149
ref
8327
remove
cons
nil
cons
nil
cons
cons
428
ref
subst
trans
sym
nil
188
ref
3462
ref
3871
remove
8381
remove
appTerm
8517
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
8517
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
3874
ref
119
ref
8507
ref
cons
nil
cons
cons
nil
cons
cons
8518
def
136
ref
subst
8518
remove
195
ref
subst
8508
remove
8504
remove
eqMp
eqMp
nil
3822
ref
164
ref
8507
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
6432
ref
8325
ref
appTerm
nil
cons
cons
8516
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
6192
ref
8358
remove
8363
remove
8368
remove
nil
117
ref
8403
remove
cons
119
ref
8367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
3415
ref
3418
ref
8369
remove
cons
3438
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8365
remove
nil
cons
cons
119
ref
8362
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8364
remove
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8360
remove
nil
cons
cons
119
ref
8357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8359
remove
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
117
ref
43
ref
8323
remove
appTerm
8515
remove
appTerm
nil
cons
cons
8512
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
"q"
0
ref
var
8519
def
8454
ref
cons
4781
ref
347
remove
cons
32
ref
8351
remove
nil
cons
cons
379
ref
8322
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
8519
ref
7
ref
43
ref
5132
remove
appTerm
4784
ref
8519
remove
varTerm
8520
def
appTerm
appTerm
appTerm
2469
ref
385
remove
appTerm
349
remove
4786
ref
appTerm
8520
ref
appTerm
appTerm
appTerm
absTerm
8521
def
8520
ref
appTerm
8522
def
betaConv
4781
ref
17
ref
8521
ref
appTerm
8523
def
absTerm
8524
def
4786
remove
appTerm
8525
def
betaConv
32
ref
17
ref
8524
ref
appTerm
8526
def
absTerm
8527
def
36
ref
appTerm
8528
def
betaConv
379
ref
17
ref
8527
ref
appTerm
8529
def
absTerm
8530
def
382
ref
appTerm
8531
def
betaConv
nil
17
ref
8530
ref
appTerm
8532
def
axiom
nil
117
ref
8532
remove
nil
cons
cons
119
ref
8531
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8530
remove
nil
cons
cons
394
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8529
remove
nil
cons
cons
119
ref
8528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8527
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8526
remove
nil
cons
cons
119
ref
8525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8524
remove
nil
cons
cons
5171
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8523
remove
nil
cons
cons
119
ref
8522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8521
remove
nil
cons
cons
212
ref
8520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
210
ref
211
ref
8457
ref
nil
cons
cons
212
remove
8458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
886
remove
8457
remove
appTerm
nil
cons
cons
119
ref
8453
remove
8456
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4781
remove
8456
ref
nil
cons
cons
379
ref
8452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5175
remove
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
8413
remove
164
ref
8416
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
8400
remove
cons
164
ref
8401
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
8375
remove
appTerm
8399
remove
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
ref
8376
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
8376
remove
absTerm
8533
def
56
ref
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
8533
ref
63
ref
appTerm
betaConv
8534
def
appThm
1033
ref
appThm
appThm
8533
ref
72
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
ref
60
ref
299
ref
8534
remove
appThm
absThm
appThm
appThm
nil
1034
ref
8533
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
59
ref
60
ref
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
2736
ref
8325
remove
appTerm
appTerm
2469
ref
2470
remove
6006
ref
6008
ref
6009
ref
451
ref
13
ref
43
ref
6010
ref
3354
ref
appTerm
appTerm
8535
def
80
ref
appTerm
absTerm
appTerm
absTerm
8536
def
appTerm
8537
def
appTerm
8538
def
appTerm
appTerm
3300
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
4235
remove
nil
4236
remove
thm
nil
5953
ref
"f"
5740
remove
var
8539
def
17
ref
32
ref
7
ref
43
ref
59
ref
454
ref
59
ref
2815
ref
7
ref
43
ref
5944
ref
8539
ref
varTerm
8540
def
appTerm
8541
def
appTerm
8542
def
6349
ref
8540
ref
appTerm
8543
def
appTerm
appTerm
883
ref
6105
remove
appTerm
4313
ref
2816
ref
appTerm
8544
def
455
ref
appTerm
appTerm
8545
def
appTerm
8546
def
absTerm
8547
def
appTerm
8548
def
absTerm
8549
def
appTerm
8550
def
appTerm
59
ref
454
ref
7
ref
8541
ref
appTerm
1222
remove
5714
remove
36
ref
appTerm
8551
def
appTerm
8552
def
appTerm
absTerm
8553
def
appTerm
8554
def
appTerm
8555
def
appTerm
43
ref
62
remove
5937
ref
8540
ref
appTerm
8556
def
appTerm
8557
def
appTerm
2469
remove
221
ref
8556
ref
appTerm
8558
def
appTerm
36
ref
appTerm
8559
def
appTerm
8560
def
appTerm
8561
def
absTerm
8562
def
appTerm
8563
def
absTerm
8564
def
nil
cons
cons
nil
cons
nil
cons
cons
5952
ref
96
ref
cons
370
ref
subst
subst
8539
ref
nil
149
ref
8563
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
8562
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
8561
remove
nil
cons
8565
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
19
ref
5768
remove
8540
ref
appTerm
6342
ref
appTerm
8566
def
appTerm
8567
def
nil
cons
8568
def
cons
8569
def
119
ref
8565
ref
cons
nil
cons
8570
def
cons
nil
cons
cons
8571
def
136
ref
subst
8571
remove
195
ref
subst
nil
117
ref
8555
remove
nil
cons
8572
def
cons
119
ref
8560
remove
nil
cons
8573
def
cons
nil
cons
8574
def
cons
nil
cons
cons
8575
def
136
ref
subst
8575
remove
195
ref
subst
nil
162
ref
8550
ref
nil
cons
8576
def
cons
164
ref
8554
remove
nil
cons
8577
def
cons
nil
cons
cons
nil
cons
cons
8578
def
178
ref
subst
8578
remove
436
ref
subst
nil
117
ref
8577
ref
cons
8574
remove
cons
nil
cons
cons
187
ref
subst
nil
2107
ref
8573
ref
cons
2106
ref
8577
remove
cons
nil
cons
cons
nil
cons
cons
7361
remove
subst
sym
235
ref
nil
119
ref
8559
remove
nil
cons
cons
117
ref
8557
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1657
remove
119
ref
1658
remove
122
remove
1659
ref
appTerm
appTerm
nil
cons
8579
def
cons
nil
cons
8580
def
cons
nil
cons
cons
8581
def
136
ref
subst
8581
remove
195
ref
subst
120
ref
"_11823"
3
ref
var
8582
def
120
ref
19
ref
43
ref
8582
remove
varTerm
8583
def
appTerm
123
ref
appTerm
appTerm
appTerm
7
ref
8583
remove
appTerm
1659
ref
appTerm
appTerm
absTerm
8584
def
121
remove
appTerm
8585
def
appTerm
refl
8586
def
8584
ref
539
ref
appTerm
betaConv
appThm
166
ref
8585
remove
betaConv
appThm
8587
def
1669
remove
553
ref
1659
ref
appTerm
appTerm
refl
appThm
trans
8584
remove
refl
8588
def
1672
remove
appThm
eqMp
sym
1674
remove
1679
ref
1062
ref
subst
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1685
remove
164
ref
8579
ref
cons
nil
cons
8589
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
1689
remove
8580
remove
cons
nil
cons
cons
8590
def
136
ref
subst
8590
remove
195
ref
subst
8586
remove
"_11821"
3
ref
var
8591
def
120
ref
19
ref
43
ref
8591
remove
varTerm
8592
def
appTerm
123
remove
appTerm
appTerm
appTerm
7
ref
8592
remove
appTerm
1659
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8587
remove
1693
remove
301
ref
1659
remove
appTerm
appTerm
refl
appThm
trans
8588
remove
1695
remove
appThm
eqMp
sym
1697
remove
1679
remove
305
ref
subst
appThm
1704
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
1705
ref
8589
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1707
remove
nil
1705
remove
1708
remove
1064
ref
8579
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
8593
def
subst
appThm
166
ref
537
ref
298
ref
454
ref
8553
ref
455
ref
appTerm
betaConv
8594
def
absThm
appThm
appThm
appThm
1216
ref
454
ref
537
ref
8594
remove
appThm
absThm
appThm
appThm
nil
1034
ref
8553
remove
nil
cons
cons
nil
cons
nil
cons
cons
622
ref
1735
remove
subst
subst
eqMp
1216
ref
454
ref
nil
2106
ref
8552
ref
nil
cons
cons
2107
ref
8541
remove
nil
cons
8595
def
cons
nil
cons
cons
nil
cons
cons
2106
ref
120
ref
19
ref
7
ref
2109
ref
appTerm
2111
ref
appTerm
appTerm
appTerm
3699
remove
4817
remove
appTerm
appTerm
absTerm
8596
def
2111
remove
appTerm
8597
def
betaConv
2107
ref
280
ref
8596
ref
appTerm
8598
def
absTerm
8599
def
2109
remove
appTerm
8600
def
betaConv
nil
280
ref
8599
ref
appTerm
8601
def
axiom
nil
117
ref
8601
remove
nil
cons
cons
119
ref
8600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8599
remove
nil
cons
cons
2135
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8598
remove
nil
cons
cons
119
ref
8597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8596
remove
nil
cons
cons
2136
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
8542
ref
refl
8602
def
nil
119
ref
8551
remove
nil
cons
cons
1264
remove
nil
cons
cons
nil
cons
cons
8593
remove
subst
appThm
trans
absThm
appThm
trans
appThm
sym
235
ref
7
ref
8557
remove
appTerm
refl
nil
379
ref
8558
remove
nil
cons
8603
def
cons
nil
cons
nil
cons
cons
4835
ref
subst
nil
32
ref
8603
remove
cons
381
remove
cons
nil
cons
cons
2581
ref
subst
trans
appThm
appThm
1216
ref
454
ref
8602
ref
5526
remove
refl
nil
379
ref
1314
remove
cons
nil
cons
nil
cons
cons
4835
remove
subst
5586
remove
2581
remove
subst
trans
appThm
appThm
absThm
appThm
appThm
sym
235
ref
nil
378
ref
60
ref
8556
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5722
ref
subst
appThm
1216
ref
454
ref
8602
ref
nil
378
remove
1445
remove
cons
nil
cons
cons
5722
remove
subst
appThm
absThm
appThm
appThm
sym
7
ref
453
ref
454
ref
43
ref
4499
ref
8556
ref
appTerm
appTerm
5471
ref
appTerm
8604
def
absTerm
8605
def
appTerm
appTerm
8606
def
refl
8607
def
1216
ref
454
ref
166
ref
8602
ref
1216
ref
5515
ref
5515
ref
5529
remove
5520
remove
appTerm
8608
def
absTerm
8609
def
5516
ref
appTerm
betaConv
8610
def
absThm
appThm
appThm
appThm
1216
ref
5515
ref
8602
remove
8610
remove
appThm
absThm
appThm
appThm
nil
1893
ref
8609
remove
nil
cons
cons
117
ref
8595
remove
cons
nil
cons
cons
nil
cons
cons
1894
remove
subst
eqMp
absThm
appThm
appThm
sym
8607
remove
166
ref
1216
ref
454
ref
1216
ref
5515
ref
454
ref
5515
ref
8542
ref
8608
remove
appTerm
8611
def
absTerm
8612
def
absTerm
8613
def
455
ref
appTerm
betaConv
5516
ref
refl
appThm
8612
remove
5516
ref
appTerm
betaConv
trans
8614
def
absThm
appThm
absThm
appThm
appThm
1216
ref
5515
ref
1216
ref
454
ref
8614
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
464
remove
var
8613
remove
nil
cons
cons
nil
cons
nil
cons
cons
5817
remove
511
ref
cons
96
ref
cons
3957
remove
120
ref
451
ref
13
ref
3318
ref
5443
remove
appTerm
absTerm
appTerm
appTerm
3318
ref
2941
ref
451
ref
5444
remove
appTerm
absTerm
appTerm
appTerm
absTerm
8615
def
3958
remove
appTerm
8616
def
betaConv
nil
3969
remove
8615
ref
appTerm
8617
def
axiom
nil
117
ref
8617
remove
nil
cons
cons
119
ref
8616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3971
remove
3972
remove
8615
remove
nil
cons
cons
3973
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
eqMp
appThm
sym
nil
512
ref
60
ref
7
ref
43
ref
4314
ref
8556
remove
appTerm
8618
def
appTerm
8619
def
448
ref
appTerm
appTerm
453
ref
5515
ref
43
ref
5943
remove
5516
ref
appTerm
8540
ref
appTerm
appTerm
8620
def
43
ref
4314
remove
5516
ref
appTerm
8621
def
appTerm
8622
def
448
remove
appTerm
appTerm
absTerm
appTerm
appTerm
8623
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8623
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
8619
ref
refl
517
ref
appThm
appThm
1216
ref
5515
ref
8620
ref
refl
8624
def
8622
ref
refl
8625
def
517
remove
appThm
appThm
absThm
appThm
appThm
sym
nil
117
ref
8619
ref
530
ref
appTerm
nil
cons
8626
def
cons
119
ref
453
ref
5515
ref
8620
ref
8622
remove
530
remove
appTerm
appTerm
absTerm
appTerm
nil
cons
8627
def
cons
nil
cons
cons
nil
cons
cons
8628
def
136
ref
subst
8628
remove
195
ref
subst
nil
162
ref
8618
ref
nil
cons
8629
def
cons
1081
remove
cons
nil
cons
cons
8630
def
178
ref
subst
8630
remove
436
ref
subst
592
remove
593
remove
1216
ref
5515
ref
8624
remove
8625
remove
598
ref
909
remove
1096
remove
appThm
339
remove
trans
appThm
429
ref
trans
appThm
nil
149
ref
8621
ref
nil
cons
cons
nil
cons
nil
cons
cons
2422
ref
subst
trans
appThm
absThm
appThm
sym
598
ref
306
ref
nil
149
ref
8629
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
8618
remove
assume
eqMp
appThm
306
ref
537
ref
nil
8569
remove
119
ref
120
ref
8566
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
162
ref
8566
ref
nil
cons
8631
def
cons
8632
def
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
appThm
298
ref
5515
ref
298
ref
2815
ref
nil
454
ref
5600
remove
cons
nil
cons
nil
cons
cons
nil
149
ref
8546
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
8547
ref
2816
ref
appTerm
8633
def
betaConv
8549
ref
455
ref
appTerm
8634
def
betaConv
nil
117
ref
8576
remove
cons
119
ref
8634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
8549
remove
nil
cons
cons
3897
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8548
remove
nil
cons
cons
119
ref
8633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
8547
remove
nil
cons
cons
6242
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
absThm
appThm
1532
ref
trans
absThm
appThm
1532
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
498
ref
8619
ref
43
ref
8567
remove
appTerm
8635
def
59
ref
5515
ref
59
ref
2815
ref
7
ref
8620
ref
8543
remove
appTerm
appTerm
883
ref
5517
remove
2816
remove
appTerm
appTerm
8544
remove
5516
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
453
ref
5515
ref
8620
ref
8621
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
60
ref
7
ref
498
ref
8619
remove
8635
remove
8550
remove
appTerm
appTerm
appTerm
appTerm
453
ref
454
ref
8542
remove
4315
remove
appTerm
absTerm
appTerm
appTerm
absTerm
8636
def
63
ref
appTerm
8637
def
betaConv
8539
remove
59
ref
8636
ref
appTerm
8638
def
absTerm
8639
def
8540
ref
appTerm
8640
def
betaConv
nil
5950
ref
8639
ref
appTerm
8641
def
axiom
nil
117
ref
8641
remove
nil
cons
cons
119
ref
8640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
ref
5953
ref
8639
remove
nil
cons
cons
5954
ref
8540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8638
remove
nil
cons
cons
119
ref
8637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
8636
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
8626
remove
cons
164
ref
8627
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
454
ref
7
ref
8604
remove
appTerm
453
ref
5515
ref
8620
remove
43
ref
4499
remove
5516
remove
appTerm
appTerm
5471
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
8606
remove
453
ref
5515
remove
453
remove
454
ref
8611
remove
absTerm
appTerm
absTerm
8642
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
298
ref
454
ref
235
ref
8605
ref
455
ref
appTerm
betaConv
8643
def
appThm
8642
ref
455
remove
appTerm
betaConv
8644
def
appThm
absThm
appThm
appThm
235
ref
1216
ref
454
ref
8643
remove
absThm
appThm
appThm
1216
remove
454
ref
8644
remove
absThm
appThm
appThm
appThm
nil
1034
ref
8605
remove
nil
cons
cons
1893
ref
8642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
622
ref
1623
ref
7
ref
12
ref
13
ref
934
remove
1626
remove
appTerm
absTerm
appTerm
appTerm
8645
def
1207
remove
1812
remove
appTerm
appTerm
absTerm
8646
def
1625
ref
appTerm
8647
def
betaConv
197
ref
664
ref
8646
ref
appTerm
8648
def
absTerm
8649
def
199
ref
appTerm
8650
def
betaConv
nil
664
ref
8649
ref
appTerm
8651
def
axiom
nil
117
ref
8651
remove
nil
cons
cons
119
ref
8650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
8649
remove
nil
cons
cons
671
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8648
remove
nil
cons
cons
119
ref
8647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
8646
remove
nil
cons
cons
1637
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8652
def
subst
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
8572
remove
cons
164
ref
8573
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
8568
ref
cons
164
ref
8565
ref
cons
nil
cons
8653
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8631
ref
cons
8570
remove
cons
nil
cons
cons
8654
def
136
ref
subst
8654
remove
195
ref
subst
235
ref
306
ref
298
ref
454
ref
298
ref
2815
ref
235
ref
306
ref
5956
remove
8566
ref
assume
8655
def
appThm
8656
def
appThm
6351
remove
8655
ref
appThm
appThm
appThm
8545
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
298
ref
454
ref
235
ref
8656
remove
appThm
8552
ref
refl
appThm
absThm
appThm
appThm
appThm
306
ref
1090
remove
6001
remove
8655
remove
appThm
8372
remove
trans
8657
def
appThm
1093
remove
trans
appThm
2483
remove
702
remove
8657
remove
appThm
322
remove
trans
appThm
1101
remove
appThm
2500
remove
trans
appThm
429
ref
trans
appThm
nil
149
ref
43
ref
59
ref
454
ref
59
ref
2815
remove
7
ref
43
ref
5944
remove
6342
ref
appTerm
8658
def
appTerm
6349
remove
6342
remove
appTerm
appTerm
appTerm
8545
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
59
ref
454
ref
7
ref
8658
remove
appTerm
8552
remove
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
sym
155
ref
eqMp
eqMp
nil
8632
ref
8653
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1114
remove
8566
remove
appTerm
8659
def
betaConv
1117
remove
nil
1118
remove
119
ref
8659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1119
remove
284
ref
8631
remove
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
8632
remove
164
ref
8568
remove
cons
1064
ref
8565
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
5950
ref
8564
remove
appTerm
thm
4273
remove
nil
4274
remove
thm
4736
remove
nil
4737
remove
thm
nil
512
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
8
remove
2
ref
2
ref
3030
ref
4
ref
cons
opType
8660
def
4
remove
cons
opType
8661
def
constTerm
8662
def
"g"
3030
ref
var
8663
def
17
ref
32
ref
7
ref
43
ref
12
ref
13
ref
630
ref
43
ref
2353
ref
appTerm
8664
def
22
ref
8663
ref
varTerm
8665
def
248
ref
appTerm
8666
def
appTerm
23
ref
appTerm
8667
def
appTerm
8668
def
appTerm
8669
def
absTerm
8670
def
appTerm
8671
def
appTerm
8672
def
43
ref
104
ref
2941
ref
6464
ref
43
ref
78
ref
8665
ref
2942
ref
appTerm
8673
def
appTerm
63
ref
appTerm
8674
def
appTerm
108
ref
247
ref
8673
ref
appTerm
8675
def
appTerm
2942
ref
appTerm
8676
def
appTerm
8677
def
appTerm
absTerm
8678
def
appTerm
8679
def
appTerm
8680
def
496
ref
appTerm
8681
def
appTerm
8682
def
appTerm
2729
ref
appTerm
8683
def
absTerm
8684
def
appTerm
8685
def
absTerm
8686
def
appTerm
8687
def
absTerm
8688
def
appTerm
8689
def
absTerm
8690
def
appTerm
8691
def
absTerm
8692
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8691
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
8690
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8689
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
8688
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
8687
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
"P"
8660
ref
var
8693
def
8686
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
3031
remove
cons
nil
cons
8694
def
96
ref
cons
8695
def
370
ref
subst
8696
def
subst
8663
ref
nil
149
ref
8685
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
8684
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
8683
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8682
remove
nil
cons
8697
def
cons
119
ref
2764
ref
cons
nil
cons
8698
def
cons
nil
cons
cons
8699
def
136
ref
subst
8699
remove
195
ref
subst
nil
162
ref
8671
ref
nil
cons
8700
def
cons
8701
def
164
ref
8681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
8702
def
178
ref
subst
8702
remove
436
ref
subst
nil
162
ref
8679
ref
nil
cons
8703
def
cons
8704
def
164
ref
1785
ref
cons
nil
cons
cons
nil
cons
cons
8705
def
178
ref
subst
8705
remove
436
ref
subst
7719
remove
7723
remove
2941
ref
nil
149
ref
6816
remove
3758
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
6824
ref
119
ref
8284
ref
cons
nil
cons
cons
nil
cons
cons
8706
def
495
ref
subst
8706
ref
136
ref
subst
8706
remove
195
ref
subst
3757
remove
8673
ref
appTerm
betaConv
sym
306
ref
nil
2941
ref
8675
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
2394
ref
3186
remove
subst
subst
appThm
8674
ref
refl
appThm
sym
nil
2106
remove
8674
remove
nil
cons
cons
2107
remove
8676
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3708
remove
subst
sym
nil
6824
ref
119
ref
8677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
8678
ref
2942
ref
appTerm
8707
def
betaConv
nil
117
ref
8703
ref
cons
8708
def
119
ref
8707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
8678
ref
nil
cons
cons
8709
def
2963
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
264
ref
6776
ref
13
ref
8673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
nil
7977
ref
164
ref
8284
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
6464
remove
3758
remove
appTerm
nil
cons
cons
119
ref
6773
remove
2948
ref
appTerm
nil
cons
cons
nil
cons
8710
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
13
ref
6748
remove
2948
ref
appTerm
8711
def
absTerm
8712
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
8711
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
6752
remove
119
ref
6823
ref
cons
nil
cons
8713
def
cons
nil
cons
cons
8714
def
136
ref
subst
8714
remove
195
ref
subst
6757
remove
nil
6759
remove
8713
remove
cons
nil
cons
cons
8715
def
187
ref
subst
proveHyp
8715
ref
136
ref
subst
8715
remove
195
ref
subst
6763
remove
6764
remove
2340
ref
refl
8716
def
6767
ref
appThm
7865
remove
appThm
8717
def
sym
8670
ref
23
ref
appTerm
8718
def
betaConv
nil
117
ref
8700
ref
cons
8719
def
119
ref
8718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
8670
remove
nil
cons
cons
8720
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8669
remove
nil
cons
8721
def
cons
119
ref
2353
ref
nil
cons
8722
def
cons
nil
cons
8723
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
695
ref
8668
ref
refl
appThm
nil
149
ref
8668
remove
nil
cons
8724
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
2353
ref
refl
8725
def
appThm
sym
nil
117
ref
8724
ref
cons
8723
ref
cons
nil
cons
cons
8726
def
136
ref
subst
8726
remove
195
ref
subst
nil
162
ref
8722
ref
cons
164
ref
8667
ref
nil
cons
8727
def
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
eqMp
nil
162
ref
8724
ref
cons
164
ref
8722
ref
cons
nil
cons
8728
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
6770
remove
164
ref
6823
remove
cons
nil
cons
8729
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6772
remove
8729
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
8712
remove
appTerm
nil
cons
cons
8710
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
6776
remove
8729
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
120
ref
"_13207"
2314
ref
var
8730
def
2727
ref
8730
remove
varTerm
appTerm
36
ref
appTerm
absTerm
8731
def
2349
ref
appTerm
8732
def
appTerm
refl
8731
remove
2474
ref
appTerm
betaConv
appThm
166
ref
8732
remove
betaConv
appThm
3656
ref
refl
appThm
trans
"_12894"
2314
ref
var
8733
def
2727
ref
8733
remove
varTerm
appTerm
36
ref
appTerm
absTerm
8734
def
refl
8735
def
6809
ref
appThm
eqMp
sym
3665
remove
5816
remove
appThm
7778
remove
trans
sym
3817
remove
13
ref
6488
remove
6490
remove
14
ref
6491
ref
6494
remove
6495
remove
6498
remove
6499
remove
6503
remove
6504
remove
13
ref
630
ref
43
ref
2542
remove
appTerm
8667
ref
appTerm
appTerm
8736
def
absTerm
8737
def
23
ref
appTerm
8738
def
betaConv
120
ref
"_13209"
2314
ref
var
8739
def
12
ref
13
ref
630
ref
43
ref
2341
remove
8739
remove
varTerm
appTerm
appTerm
8667
remove
appTerm
appTerm
absTerm
appTerm
absTerm
8740
def
2349
ref
appTerm
8741
def
appTerm
refl
8740
ref
2474
ref
appTerm
betaConv
appThm
166
ref
8741
remove
betaConv
appThm
12
ref
8737
ref
appTerm
8742
def
refl
appThm
trans
8740
remove
refl
6809
remove
appThm
eqMp
8671
remove
assume
8743
def
eqMp
8744
def
nil
117
ref
8742
remove
nil
cons
cons
8745
def
119
ref
8738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
8737
ref
nil
cons
cons
8746
def
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8736
ref
nil
cons
cons
6428
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
8737
remove
25
ref
appTerm
8747
def
betaConv
8744
remove
nil
8745
remove
119
ref
8747
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
8746
remove
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6998
ref
7837
ref
22
ref
8665
ref
249
ref
appTerm
8748
def
appTerm
8749
def
25
ref
appTerm
8750
def
appTerm
8751
def
appTerm
nil
cons
cons
119
ref
7
ref
8736
remove
appTerm
26
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
3831
remove
appThm
8751
ref
refl
appThm
nil
149
ref
8751
remove
nil
cons
8752
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
235
ref
695
remove
306
ref
8716
remove
6597
ref
appThm
2474
remove
refl
appThm
appThm
1353
remove
8665
ref
refl
6597
remove
appThm
appThm
207
remove
appThm
appThm
appThm
nil
149
ref
7837
remove
8749
remove
23
ref
appTerm
8753
def
appTerm
8754
def
nil
cons
8755
def
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
6849
ref
appThm
appThm
sym
nil
117
ref
8752
ref
cons
119
ref
7
ref
8754
remove
appTerm
8756
def
26
ref
appTerm
nil
cons
8757
def
cons
nil
cons
cons
nil
cons
cons
8758
def
136
ref
subst
8758
remove
195
ref
subst
nil
162
ref
7790
remove
cons
8759
def
164
ref
8750
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
8756
remove
refl
8233
remove
8750
remove
assume
sym
appThm
appThm
sym
nil
117
ref
8755
ref
cons
119
ref
24
ref
8748
remove
appTerm
nil
cons
8760
def
cons
nil
cons
cons
nil
cons
cons
8761
def
136
ref
subst
8761
remove
195
ref
subst
nil
8759
remove
164
ref
8753
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
subst
8753
remove
assume
sym
proveHyp
eqMp
nil
162
ref
8755
remove
cons
164
ref
8760
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
nil
162
ref
8752
remove
cons
164
ref
8757
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
6728
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
3655
remove
nil
cons
cons
119
ref
3656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
3849
ref
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
8697
remove
cons
2765
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
8762
def
nil
59
ref
8692
remove
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
8662
ref
8663
ref
7
ref
8672
remove
8679
ref
appTerm
8763
def
appTerm
8764
def
17
ref
32
ref
497
remove
2729
ref
appTerm
8765
def
absTerm
8766
def
appTerm
8767
def
appTerm
8768
def
absTerm
8769
def
appTerm
8770
def
absTerm
8771
def
appTerm
8772
def
absTerm
8773
def
appTerm
8774
def
absTerm
8775
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8774
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
8773
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8772
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
8771
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
8770
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
8693
ref
8769
remove
nil
cons
cons
nil
cons
nil
cons
cons
8696
ref
subst
8663
ref
nil
149
ref
8768
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8763
ref
nil
cons
8776
def
cons
8777
def
119
ref
8767
remove
nil
cons
8778
def
cons
nil
cons
cons
nil
cons
cons
8779
def
136
ref
subst
8779
remove
195
ref
subst
nil
8701
remove
164
ref
8703
ref
cons
nil
cons
cons
nil
cons
cons
8780
def
178
ref
subst
8780
remove
436
ref
subst
nil
211
ref
8766
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
8765
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
1786
remove
8698
remove
cons
nil
cons
cons
495
ref
subst
246
ref
450
remove
8661
remove
constTerm
8781
def
8663
ref
8763
ref
absTerm
8782
def
appTerm
8783
def
absTerm
8784
def
247
ref
appTerm
8785
def
betaConv
8786
def
sym
8782
ref
8665
ref
appTerm
8787
def
betaConv
8788
def
sym
nil
8719
remove
119
ref
8703
ref
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
8789
def
8679
ref
assume
8790
def
eqMp
eqMp
8694
ref
8693
ref
8782
ref
nil
cons
8791
def
cons
8792
def
"x"
3030
ref
var
8793
def
8665
ref
nil
cons
cons
nil
cons
8794
def
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
260
ref
261
ref
8784
ref
nil
cons
8795
def
cons
8796
def
263
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
2334
ref
8784
ref
appTerm
8797
def
nil
cons
8798
def
cons
8799
def
119
ref
2460
remove
2729
ref
appTerm
8800
def
nil
cons
8801
def
cons
nil
cons
8802
def
cons
nil
cons
cons
8803
def
187
ref
subst
proveHyp
32
ref
7
ref
8797
ref
appTerm
8804
def
8800
ref
appTerm
8805
def
absTerm
8806
def
36
ref
appTerm
8807
def
betaConv
2347
ref
17
ref
8806
ref
appTerm
8808
def
absTerm
8809
def
2349
ref
appTerm
8810
def
betaConv
60
ref
2365
ref
8809
ref
appTerm
8811
def
absTerm
8812
def
63
ref
appTerm
8813
def
betaConv
298
ref
60
ref
3312
ref
2347
ref
1721
ref
246
ref
8662
ref
refl
8814
def
8663
ref
237
ref
32
ref
nil
4064
remove
2764
remove
cons
643
remove
1785
remove
cons
2018
remove
8703
remove
cons
1536
remove
8700
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2038
remove
119
ref
4069
remove
7
ref
2211
remove
appTerm
650
remove
4068
ref
appTerm
8815
def
appTerm
appTerm
nil
cons
8816
def
cons
nil
cons
8817
def
cons
nil
cons
cons
8818
def
136
ref
subst
8818
remove
195
ref
subst
120
ref
"_13235"
3
ref
var
8819
def
120
ref
7
ref
43
ref
8819
remove
varTerm
appTerm
8820
def
4067
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
8820
remove
2039
ref
appTerm
appTerm
8815
ref
appTerm
appTerm
absTerm
8821
def
1544
remove
appTerm
8822
def
appTerm
refl
8823
def
8821
ref
539
ref
appTerm
betaConv
appThm
166
ref
8822
remove
betaConv
appThm
8824
def
4081
remove
7
ref
2222
remove
appTerm
8815
ref
appTerm
appTerm
refl
appThm
trans
8821
remove
refl
8825
def
2054
remove
appThm
eqMp
sym
4086
remove
235
ref
2225
remove
appThm
8815
ref
refl
8826
def
appThm
nil
149
ref
8815
ref
nil
cons
8827
def
cons
nil
cons
nil
cons
cons
8828
def
1062
ref
subst
8829
def
trans
appThm
964
ref
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
2061
remove
164
ref
8816
ref
cons
nil
cons
8830
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
2065
remove
8817
remove
cons
nil
cons
cons
8831
def
136
ref
subst
8831
remove
195
ref
subst
8823
remove
"_13233"
3
ref
var
8832
def
120
ref
7
ref
43
ref
8832
remove
varTerm
appTerm
8833
def
4067
remove
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
8833
remove
2039
ref
appTerm
appTerm
8815
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8824
remove
4093
remove
7
ref
2231
remove
appTerm
8815
ref
appTerm
appTerm
refl
appThm
trans
8825
remove
2070
remove
appThm
eqMp
sym
4094
remove
235
ref
2233
remove
appThm
8826
remove
appThm
appThm
sym
nil
117
ref
120
ref
2039
ref
appTerm
8834
def
539
ref
appTerm
8835
def
nil
cons
8836
def
cons
119
ref
120
ref
4071
remove
appTerm
7
ref
2039
ref
appTerm
8815
ref
appTerm
appTerm
nil
cons
8837
def
cons
nil
cons
8838
def
cons
nil
cons
cons
8839
def
136
ref
subst
8839
remove
195
ref
subst
120
ref
"_13239"
3
ref
var
8840
def
120
ref
7
ref
43
ref
8840
remove
varTerm
8841
def
appTerm
649
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
8841
remove
appTerm
8815
ref
appTerm
appTerm
absTerm
8842
def
2039
ref
appTerm
8843
def
appTerm
refl
8844
def
8842
ref
539
ref
appTerm
betaConv
appThm
166
ref
8843
remove
betaConv
appThm
8845
def
120
ref
7
ref
1103
ref
649
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
553
ref
8815
ref
appTerm
appTerm
refl
appThm
trans
8842
remove
refl
8846
def
8835
remove
assume
appThm
eqMp
sym
166
ref
235
ref
nil
149
ref
672
remove
cons
nil
cons
nil
cons
cons
8847
def
1107
ref
subst
appThm
4084
ref
appThm
4085
remove
trans
appThm
8829
remove
appThm
964
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
8836
ref
cons
164
ref
8837
ref
cons
nil
cons
8848
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
8834
remove
141
ref
appTerm
8849
def
nil
cons
8850
def
cons
8838
remove
cons
nil
cons
cons
8851
def
136
ref
subst
8851
remove
195
ref
subst
8844
remove
"_13237"
3
ref
var
8852
def
120
ref
7
ref
43
ref
8852
remove
varTerm
8853
def
appTerm
649
ref
appTerm
appTerm
4068
ref
appTerm
appTerm
7
ref
8853
remove
appTerm
8815
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
8845
remove
120
ref
7
ref
424
ref
649
remove
appTerm
appTerm
4068
remove
appTerm
appTerm
301
ref
8815
remove
appTerm
appTerm
refl
appThm
trans
8846
remove
8849
remove
assume
appThm
eqMp
sym
166
ref
235
ref
8847
remove
428
ref
subst
appThm
4084
remove
appThm
appThm
8828
remove
305
ref
subst
appThm
nil
284
ref
8827
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
162
ref
8850
remove
cons
8854
def
8848
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
1403
remove
2039
remove
appTerm
8855
def
betaConv
1406
remove
nil
1407
remove
119
ref
8855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
1408
remove
2060
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
8854
remove
164
ref
8836
remove
cons
1064
ref
8837
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
2072
ref
8830
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
2075
remove
nil
2072
remove
2076
remove
1064
ref
8816
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
8762
remove
eqMp
nil
117
ref
59
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
8662
ref
8663
ref
17
ref
32
ref
8764
remove
8800
ref
appTerm
absTerm
8856
def
appTerm
8857
def
absTerm
8858
def
appTerm
8859
def
absTerm
8860
def
appTerm
8861
def
absTerm
8862
def
appTerm
8863
def
absTerm
8864
def
appTerm
8865
def
nil
cons
8866
def
cons
8867
def
119
ref
59
ref
8812
ref
appTerm
nil
cons
8868
def
cons
nil
cons
cons
nil
cons
cons
8869
def
187
ref
subst
proveHyp
8869
ref
136
ref
subst
8869
remove
195
ref
subst
nil
512
ref
8812
remove
nil
cons
cons
8870
def
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8811
remove
nil
cons
8871
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
8809
remove
nil
cons
cons
8872
def
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8808
remove
nil
cons
8873
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
8806
remove
nil
cons
cons
8874
def
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
8805
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
8803
ref
136
ref
subst
8803
remove
195
ref
subst
nil
8867
ref
8802
ref
cons
nil
cons
cons
8875
def
187
ref
subst
nil
8799
remove
119
ref
7
ref
8865
remove
appTerm
8800
remove
appTerm
8876
def
nil
cons
8877
def
cons
nil
cons
8878
def
cons
nil
cons
cons
187
ref
subst
nil
261
ref
246
ref
7
ref
8785
ref
appTerm
8876
ref
appTerm
8879
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
8879
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8785
ref
nil
cons
8880
def
cons
8878
ref
cons
nil
cons
cons
8881
def
136
ref
subst
8881
remove
195
ref
subst
8786
ref
8785
remove
assume
eqMp
nil
117
ref
8783
ref
nil
cons
cons
8878
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
8693
ref
8663
ref
7
ref
8787
ref
appTerm
8876
ref
appTerm
8882
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
8696
ref
subst
8663
ref
nil
149
ref
8882
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8787
ref
nil
cons
8883
def
cons
8878
ref
cons
nil
cons
cons
8884
def
136
ref
subst
8884
remove
195
ref
subst
8788
ref
8787
remove
assume
eqMp
nil
8777
ref
8878
remove
cons
nil
cons
cons
8885
def
187
ref
subst
proveHyp
8885
ref
136
ref
subst
8885
remove
195
ref
subst
8875
ref
136
ref
subst
8875
remove
195
ref
subst
nil
8777
remove
8802
remove
cons
nil
cons
cons
187
ref
subst
8856
ref
36
ref
appTerm
8886
def
betaConv
8858
ref
8665
ref
appTerm
8887
def
betaConv
8860
ref
247
ref
appTerm
8888
def
betaConv
8862
ref
2349
ref
appTerm
8889
def
betaConv
8864
ref
63
ref
appTerm
8890
def
betaConv
nil
8867
remove
119
ref
8890
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
511
ref
512
ref
8864
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8863
remove
nil
cons
cons
119
ref
8889
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
8862
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8861
remove
nil
cons
cons
119
ref
8888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
261
ref
8860
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8859
remove
nil
cons
cons
119
ref
8887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
8694
ref
8693
ref
8858
remove
nil
cons
cons
8794
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8857
remove
nil
cons
cons
119
ref
8886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
8856
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
8866
remove
cons
8891
def
164
ref
8801
ref
cons
nil
cons
8892
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
8776
ref
cons
8893
def
164
ref
8877
remove
cons
nil
cons
8894
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
8883
remove
cons
8894
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
8662
ref
8793
ref
7
ref
8782
remove
8793
remove
varTerm
appTerm
appTerm
8876
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
8783
ref
appTerm
8876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
8694
ref
8792
remove
8894
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
nil
162
ref
8880
remove
cons
8894
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
257
ref
262
remove
7
ref
8784
remove
2436
remove
appTerm
appTerm
8876
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
8804
remove
8876
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
ref
8796
remove
8894
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
162
ref
8798
ref
cons
8892
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
8891
remove
164
ref
8868
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
8868
remove
cons
119
ref
8813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
8870
remove
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8871
remove
cons
119
ref
8810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
8872
remove
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8873
remove
cons
119
ref
8807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
8874
remove
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
8895
def
eqMp
nil
117
ref
8801
remove
cons
119
ref
7
ref
2729
remove
appTerm
496
remove
appTerm
nil
cons
cons
nil
cons
8896
def
cons
nil
cons
cons
195
ref
subst
proveHyp
"f"
3030
remove
var
8897
def
2334
ref
2853
ref
43
ref
104
ref
2400
ref
6539
ref
43
ref
78
ref
8897
remove
varTerm
8898
def
3596
ref
appTerm
8899
def
appTerm
63
ref
appTerm
appTerm
108
ref
2856
ref
8899
remove
appTerm
appTerm
3596
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
14
ref
6998
ref
43
ref
2340
remove
2856
ref
25
ref
appTerm
8900
def
appTerm
2349
ref
appTerm
appTerm
8901
def
22
ref
8898
remove
8900
ref
appTerm
appTerm
25
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
8902
def
8665
ref
appTerm
betaConv
sym
2853
remove
43
ref
104
ref
2400
ref
6539
remove
43
ref
78
ref
8665
ref
3596
ref
appTerm
8903
def
appTerm
63
ref
appTerm
appTerm
108
ref
2856
remove
8903
remove
appTerm
appTerm
3596
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
12
ref
14
ref
6998
ref
8901
remove
22
ref
8665
ref
8900
remove
appTerm
appTerm
25
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
8904
def
247
ref
appTerm
betaConv
sym
nil
8708
ref
119
ref
8700
remove
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
8743
remove
eqMp
eqMp
260
ref
261
ref
8904
remove
nil
cons
cons
263
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
8694
remove
8693
ref
8902
ref
nil
cons
cons
8794
remove
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
8781
ref
8902
remove
appTerm
nil
cons
cons
8896
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4570
ref
3298
remove
cons
nil
cons
cons
6002
remove
2393
ref
cons
96
ref
cons
8895
remove
subst
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
8905
def
eqMp
nil
8893
remove
164
ref
8778
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
8775
remove
appTerm
thm
298
ref
60
ref
6395
ref
refl
6396
ref
nil
117
ref
498
ref
4313
remove
6398
remove
appTerm
63
ref
appTerm
8906
def
appTerm
8907
def
nil
cons
8908
def
cons
8909
def
119
ref
120
ref
120
ref
12
ref
14
ref
6998
remove
451
ref
13
ref
729
ref
6402
remove
25
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
6411
remove
appTerm
8910
def
appTerm
8911
def
141
ref
appTerm
8912
def
nil
cons
8913
def
cons
nil
cons
cons
nil
cons
cons
8914
def
136
ref
subst
8914
remove
195
ref
subst
166
ref
306
ref
595
remove
nil
589
ref
164
ref
8906
ref
nil
cons
8915
def
cons
nil
cons
cons
nil
cons
cons
8916
def
178
ref
subst
eqMp
appThm
8917
def
8917
remove
6847
ref
nil
149
ref
8915
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
8916
remove
436
ref
subst
eqMp
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
498
ref
498
ref
6432
ref
8906
remove
appTerm
appTerm
appTerm
nil
cons
cons
119
ref
8910
ref
nil
cons
cons
8918
def
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
4570
remove
nil
cons
nil
cons
cons
6441
remove
6778
ref
subst
subst
eqMp
appThm
6848
remove
appThm
nil
284
ref
6420
remove
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
eqMp
nil
162
ref
8908
ref
cons
164
ref
8913
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
8907
ref
appTerm
8919
def
8912
remove
appTerm
nil
cons
cons
119
ref
120
ref
8919
ref
8910
remove
appTerm
8920
def
appTerm
8921
def
8919
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
8907
ref
refl
nil
117
ref
120
ref
8907
ref
appTerm
8922
def
8907
remove
appTerm
nil
cons
cons
119
ref
7
ref
8919
ref
8911
remove
1450
ref
appTerm
8923
def
appTerm
appTerm
8921
ref
8919
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
8908
ref
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
8922
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
8923
remove
appTerm
appTerm
8921
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
8924
def
1450
ref
appTerm
8925
def
betaConv
1452
ref
280
ref
8924
ref
appTerm
8926
def
absTerm
8927
def
1453
ref
appTerm
8928
def
betaConv
nil
8918
remove
8909
remove
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
8927
ref
appTerm
nil
cons
cons
119
ref
8928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8927
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8926
remove
nil
cons
cons
119
ref
8925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
8924
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
8908
remove
cons
nil
cons
nil
cons
cons
287
ref
subst
trans
absThm
appThm
289
ref
6418
remove
294
remove
subst
subst
trans
absThm
appThm
1532
remove
trans
sym
155
ref
eqMp
nil
59
ref
60
ref
6395
remove
6396
remove
8920
remove
absTerm
appTerm
absTerm
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
8662
ref
8663
ref
7
ref
43
ref
5847
remove
2350
remove
appTerm
8929
def
appTerm
8763
ref
appTerm
8930
def
appTerm
6442
ref
appTerm
8931
def
absTerm
8932
def
appTerm
8933
def
absTerm
8934
def
appTerm
8935
def
absTerm
8936
def
appTerm
8937
def
absTerm
8938
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8937
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
8936
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8935
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
8934
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
8933
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
8693
ref
8932
remove
nil
cons
cons
nil
cons
nil
cons
cons
8696
ref
subst
8663
ref
nil
149
ref
8931
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8930
remove
nil
cons
8939
def
cons
6618
ref
cons
nil
cons
cons
8940
def
136
ref
subst
8940
remove
195
ref
subst
nil
162
ref
8929
ref
nil
cons
8941
def
cons
8942
def
164
ref
8776
ref
cons
nil
cons
8943
def
cons
nil
cons
cons
8944
def
178
ref
subst
8944
remove
436
ref
subst
nil
117
ref
8941
remove
cons
6618
ref
cons
nil
cons
cons
8945
def
187
ref
subst
8905
remove
nil
117
ref
8778
remove
cons
119
ref
7
ref
8929
remove
appTerm
6442
ref
appTerm
8946
def
nil
cons
8947
def
cons
nil
cons
8948
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
237
ref
32
ref
166
ref
516
remove
appThm
7866
remove
3668
remove
subst
appThm
absThm
appThm
appThm
8946
remove
refl
appThm
sym
nil
117
ref
17
ref
32
ref
4945
remove
6456
ref
6804
remove
36
ref
appTerm
appTerm
appTerm
absTerm
8949
def
appTerm
nil
cons
8950
def
cons
8951
def
8948
remove
cons
nil
cons
cons
8952
def
136
ref
subst
8952
remove
195
ref
subst
8945
ref
136
ref
subst
8945
remove
195
ref
subst
nil
7847
remove
6618
ref
cons
nil
cons
cons
8953
def
136
ref
subst
8953
remove
195
ref
subst
8949
ref
2695
remove
appTerm
8954
def
betaConv
nil
8951
ref
119
ref
8954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
211
ref
8949
ref
nil
cons
cons
8955
def
4260
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
120
ref
498
ref
6442
ref
appTerm
8956
def
appTerm
8957
def
6456
ref
7971
remove
appTerm
appTerm
nil
cons
cons
6618
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
8957
remove
refl
4269
remove
appThm
nil
149
ref
8956
remove
nil
cons
8958
def
cons
nil
cons
nil
cons
cons
846
ref
subst
trans
appThm
6442
ref
refl
8959
def
appThm
sym
nil
117
ref
8958
ref
cons
6618
ref
cons
nil
cons
cons
8960
def
136
ref
subst
8960
remove
195
ref
subst
nil
589
ref
6620
ref
cons
nil
cons
cons
8961
def
436
ref
subst
eqMp
nil
162
ref
8958
remove
cons
6620
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
6478
ref
6620
ref
cons
nil
cons
cons
8962
def
178
ref
subst
8963
def
deductAntisym
eqMp
nil
625
ref
6618
ref
cons
nil
cons
cons
8964
def
136
ref
subst
8964
remove
195
ref
subst
8949
remove
227
ref
appTerm
8965
def
betaConv
nil
8951
remove
119
ref
8965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
210
ref
8955
remove
896
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
120
ref
498
ref
3857
ref
appTerm
appTerm
6456
ref
6805
remove
appTerm
8966
def
appTerm
nil
cons
cons
6618
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
166
ref
4261
remove
appThm
8966
ref
refl
appThm
nil
149
ref
8966
remove
nil
cons
8967
def
cons
nil
cons
nil
cons
cons
963
remove
subst
trans
appThm
8959
remove
appThm
sym
nil
117
ref
8967
ref
cons
6618
remove
cons
nil
cons
cons
8968
def
136
ref
subst
8968
remove
195
ref
subst
nil
6478
ref
7838
remove
cons
nil
cons
cons
436
ref
subst
6806
remove
proveHyp
eqMp
nil
162
ref
8967
remove
cons
6620
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
8961
remove
178
ref
subst
deductAntisym
eqMp
nil
589
ref
2721
remove
1064
ref
6480
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
eqMp
nil
8942
remove
6620
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
8950
remove
cons
164
ref
8947
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
8939
remove
cons
6620
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
8938
remove
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
7
ref
498
ref
6456
ref
6442
remove
appTerm
8969
def
appTerm
8970
def
appTerm
8971
def
8797
ref
appTerm
8972
def
absTerm
8973
def
appTerm
8974
def
absTerm
8975
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8974
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
8973
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8972
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8970
remove
nil
cons
8976
def
cons
8977
def
119
ref
8798
ref
cons
nil
cons
8978
def
cons
nil
cons
cons
8979
def
136
ref
subst
8979
remove
195
ref
subst
nil
8977
remove
119
ref
2334
remove
246
ref
2357
ref
43
ref
6471
remove
appTerm
3653
ref
appTerm
appTerm
8980
def
absTerm
8981
def
appTerm
8982
def
nil
cons
8983
def
cons
nil
cons
8984
def
cons
nil
cons
cons
8985
def
187
ref
subst
2347
ref
8971
remove
8982
ref
appTerm
8986
def
absTerm
8987
def
2349
ref
appTerm
8988
def
betaConv
8989
def
60
ref
2365
ref
8987
ref
appTerm
8990
def
absTerm
8991
def
63
ref
appTerm
8992
def
betaConv
8993
def
8314
remove
nil
117
ref
8319
ref
nil
cons
cons
119
ref
59
ref
8991
ref
appTerm
8994
def
nil
cons
8995
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
512
ref
60
ref
7
ref
8317
remove
appTerm
8990
ref
appTerm
8996
def
absTerm
8997
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
8996
remove
nil
cons
8998
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
2347
ref
7
ref
8315
ref
appTerm
8986
ref
appTerm
8999
def
absTerm
9000
def
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
8999
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8315
remove
nil
cons
9001
def
cons
9002
def
119
ref
8986
remove
nil
cons
9003
def
cons
nil
cons
cons
nil
cons
cons
9004
def
136
ref
subst
9004
remove
195
ref
subst
8985
ref
136
ref
subst
8985
remove
195
ref
subst
nil
589
ref
164
ref
8969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9005
def
178
ref
subst
9005
remove
436
ref
subst
8963
remove
8962
remove
436
ref
subst
nil
9002
remove
8984
remove
cons
nil
cons
cons
187
ref
subst
235
ref
235
ref
598
ref
4267
ref
6516
remove
5413
ref
appThm
nil
4264
remove
nil
cons
nil
cons
cons
nil
149
ref
4784
remove
36
ref
appTerm
9006
def
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
32
ref
9006
remove
absTerm
9007
def
36
ref
appTerm
9008
def
betaConv
nil
17
ref
9007
ref
appTerm
9009
def
axiom
nil
117
ref
9009
remove
nil
cons
cons
119
ref
9008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
9007
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
subst
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
7841
ref
refl
appThm
nil
149
ref
7842
remove
cons
nil
cons
nil
cons
cons
305
ref
subst
trans
appThm
8982
ref
refl
appThm
sym
1721
ref
246
ref
nil
117
ref
7839
ref
nil
cons
9010
def
cons
9011
def
119
ref
120
ref
8980
ref
appTerm
9012
def
2357
ref
3653
ref
appTerm
9013
def
appTerm
9014
def
nil
cons
9015
def
cons
nil
cons
cons
nil
cons
cons
9016
def
136
ref
subst
9016
remove
195
ref
subst
2357
ref
refl
9017
def
306
ref
598
ref
4267
ref
306
ref
238
ref
6515
remove
appThm
5413
remove
appThm
4268
remove
trans
appThm
9018
def
6734
remove
nil
8006
ref
6730
ref
cons
nil
cons
cons
178
ref
subst
eqMp
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
6476
remove
187
ref
subst
proveHyp
6778
ref
eqMp
appThm
6789
ref
appThm
7777
remove
7306
remove
subst
trans
appThm
eqMp
nil
162
ref
9010
ref
cons
164
ref
9015
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
7839
ref
appTerm
9019
def
9014
remove
appTerm
nil
cons
cons
119
ref
120
ref
9019
ref
8980
ref
appTerm
9020
def
appTerm
9021
def
9019
ref
9013
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
9013
ref
nil
cons
9022
def
cons
nil
cons
nil
cons
cons
7839
ref
refl
nil
117
ref
120
ref
7839
ref
appTerm
9023
def
7839
remove
appTerm
nil
cons
cons
119
ref
7
ref
9019
ref
9012
remove
1450
ref
appTerm
9024
def
appTerm
appTerm
9021
ref
9019
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
9010
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
9023
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
9024
remove
appTerm
appTerm
9021
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
9025
def
1450
ref
appTerm
9026
def
betaConv
1452
ref
280
ref
9025
ref
appTerm
9027
def
absTerm
9028
def
1453
ref
appTerm
9029
def
betaConv
nil
119
ref
8980
ref
nil
cons
cons
9011
remove
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
9028
ref
appTerm
nil
cons
cons
119
ref
9029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9028
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9027
remove
nil
cons
cons
119
ref
9026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9025
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
absThm
appThm
sym
1721
ref
246
ref
235
ref
306
ref
8019
remove
appThm
6789
ref
appThm
appThm
9013
ref
refl
appThm
absThm
appThm
sym
nil
261
ref
246
ref
7
ref
43
ref
8024
remove
appTerm
3653
ref
appTerm
9030
def
appTerm
9013
remove
appTerm
9031
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
9031
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9030
remove
nil
cons
9032
def
cons
119
ref
9022
ref
cons
nil
cons
cons
nil
cons
cons
9033
def
136
ref
subst
9033
remove
195
ref
subst
nil
8197
ref
6730
ref
cons
nil
cons
cons
9034
def
178
ref
subst
9034
remove
436
ref
subst
nil
7771
remove
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
2354
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
675
ref
8723
ref
cons
nil
cons
cons
9035
def
136
ref
subst
9035
ref
195
ref
subst
3771
remove
23
ref
appTerm
betaConv
sym
306
ref
6768
ref
appThm
694
ref
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
3807
remove
580
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
117
ref
3773
remove
cons
8723
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
2417
remove
8107
remove
subst
eqMp
9036
def
eqMp
nil
792
ref
8728
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
7770
ref
6454
ref
cons
nil
cons
cons
195
ref
subst
proveHyp
3653
ref
assume
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
9032
remove
cons
164
ref
9022
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
257
ref
246
ref
9020
remove
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
7841
remove
appTerm
8982
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
1721
ref
246
ref
235
ref
7840
ref
247
ref
appTerm
betaConv
9037
def
appThm
8981
ref
247
ref
appTerm
betaConv
9038
def
appThm
absThm
appThm
appThm
235
ref
2409
ref
246
ref
9037
remove
absThm
appThm
appThm
2409
ref
246
ref
9038
ref
absThm
appThm
9039
def
appThm
appThm
nil
2970
ref
7840
remove
nil
cons
cons
"q"
255
remove
var
9040
def
8981
remove
nil
cons
9041
def
cons
nil
cons
cons
nil
cons
cons
2427
remove
8652
ref
subst
9042
def
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
8976
remove
cons
9043
def
164
ref
8983
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
162
ref
9001
remove
cons
164
ref
9003
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
2365
ref
9000
remove
appTerm
nil
cons
cons
119
ref
8998
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
3312
ref
2347
ref
235
ref
8316
ref
2349
ref
appTerm
betaConv
9044
def
appThm
8989
ref
appThm
absThm
appThm
appThm
235
ref
3312
ref
2347
ref
9044
remove
absThm
appThm
appThm
3312
ref
2347
ref
8989
remove
absThm
appThm
appThm
appThm
nil
8311
ref
8316
remove
nil
cons
cons
7859
remove
8987
remove
nil
cons
9045
def
cons
nil
cons
cons
nil
cons
cons
2385
ref
1623
remove
8645
remove
7
ref
1627
remove
appTerm
1629
remove
appTerm
appTerm
absTerm
9046
def
1625
remove
appTerm
9047
def
betaConv
197
ref
664
ref
9046
ref
appTerm
9048
def
absTerm
9049
def
199
remove
appTerm
9050
def
betaConv
nil
664
remove
9049
ref
appTerm
9051
def
axiom
nil
117
ref
9051
remove
nil
cons
cons
119
ref
9050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
ref
668
ref
9049
remove
nil
cons
cons
671
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9048
remove
nil
cons
cons
119
ref
9047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
667
remove
668
remove
9046
remove
nil
cons
cons
1637
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
9052
def
subst
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
117
ref
59
ref
8997
remove
appTerm
nil
cons
cons
119
ref
7
ref
8319
remove
appTerm
8994
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
298
ref
60
ref
235
ref
8318
ref
63
ref
appTerm
betaConv
9053
def
appThm
8993
ref
appThm
absThm
appThm
appThm
235
ref
298
ref
60
ref
9053
remove
absThm
appThm
appThm
298
ref
60
ref
8993
remove
absThm
appThm
appThm
appThm
nil
1034
ref
8318
remove
nil
cons
cons
1893
remove
8991
remove
nil
cons
9054
def
cons
nil
cons
cons
nil
cons
cons
622
remove
9052
remove
subst
subst
eqMp
eqMp
eqMp
9055
def
nil
117
ref
8995
remove
cons
119
ref
8992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
9054
remove
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
8990
remove
nil
cons
cons
119
ref
8988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
ref
2381
ref
9045
remove
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
nil
117
ref
8983
remove
cons
8978
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
1721
ref
246
ref
235
ref
9017
ref
306
ref
2347
ref
6472
ref
8781
ref
8663
ref
8679
remove
absTerm
9056
def
appTerm
9057
def
appTerm
absTerm
9058
def
2349
ref
appTerm
9059
def
betaConv
60
ref
2365
ref
9058
ref
appTerm
9060
def
absTerm
9061
def
63
ref
appTerm
9062
def
betaConv
246
ref
59
ref
9061
ref
appTerm
9063
def
absTerm
9064
def
247
ref
appTerm
9065
def
betaConv
nil
257
ref
9064
ref
appTerm
9066
def
axiom
nil
117
ref
9066
remove
nil
cons
cons
119
ref
9065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
260
remove
261
ref
9064
remove
nil
cons
cons
263
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9063
remove
nil
cons
cons
119
ref
9062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
ref
512
ref
9061
remove
nil
cons
cons
515
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9060
remove
nil
cons
cons
119
ref
9059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
2384
remove
2381
ref
9058
remove
nil
cons
cons
2404
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
6789
ref
appThm
appThm
appThm
8783
ref
refl
9067
def
appThm
absThm
appThm
sym
nil
261
ref
246
ref
7
ref
2357
ref
43
ref
9057
remove
appTerm
3653
ref
appTerm
appTerm
appTerm
8783
ref
appTerm
9068
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
9068
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
9017
ref
166
ref
306
ref
8781
ref
refl
9069
def
8663
ref
9056
ref
8665
ref
appTerm
betaConv
9070
def
absThm
appThm
appThm
6789
ref
appThm
appThm
9069
ref
8663
ref
306
ref
9070
remove
appThm
6789
remove
appThm
absThm
appThm
appThm
nil
"p"
8660
ref
var
9071
def
9056
remove
nil
cons
cons
6454
remove
cons
nil
cons
cons
8695
ref
1848
remove
subst
subst
eqMp
appThm
166
ref
9017
ref
9069
ref
8663
ref
8663
ref
8680
remove
3653
remove
appTerm
9072
def
absTerm
9073
def
8665
ref
appTerm
betaConv
9074
def
absThm
appThm
appThm
appThm
9069
ref
8663
ref
9017
remove
9074
remove
appThm
absThm
appThm
appThm
nil
"q"
8660
remove
var
9075
def
9073
remove
nil
cons
cons
7770
remove
nil
cons
cons
nil
cons
cons
8695
ref
1892
remove
subst
subst
eqMp
trans
appThm
9067
remove
appThm
sym
nil
8693
remove
8663
ref
7
ref
2357
remove
9072
ref
appTerm
9076
def
appTerm
8763
remove
appTerm
9077
def
absTerm
9078
def
nil
cons
cons
nil
cons
nil
cons
cons
8696
remove
subst
8663
ref
nil
149
ref
9077
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9076
ref
nil
cons
9079
def
cons
119
ref
8776
remove
cons
nil
cons
cons
nil
cons
cons
9080
def
136
ref
subst
9080
remove
195
ref
subst
nil
7714
remove
164
ref
9072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9081
def
178
ref
subst
9081
remove
436
ref
subst
nil
8704
remove
6730
remove
cons
nil
cons
cons
9082
def
178
ref
subst
9082
remove
436
ref
subst
nil
8720
remove
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
8721
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
675
ref
119
ref
8724
ref
cons
nil
cons
cons
nil
cons
cons
9083
def
136
ref
subst
9083
remove
195
ref
subst
9035
remove
187
ref
subst
7772
remove
eqMp
9084
def
nil
117
ref
8722
ref
cons
9085
def
119
ref
8727
remove
cons
nil
cons
9086
def
cons
nil
cons
cons
195
ref
subst
proveHyp
8678
remove
248
ref
appTerm
9087
def
betaConv
nil
8708
remove
119
ref
9087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
8709
remove
2416
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
7
ref
2353
remove
appTerm
43
ref
78
ref
8666
ref
appTerm
63
ref
appTerm
9088
def
appTerm
9089
def
108
remove
247
remove
8666
ref
appTerm
appTerm
248
remove
appTerm
9090
def
appTerm
9091
def
appTerm
9092
def
nil
cons
cons
119
ref
9089
remove
729
ref
9090
ref
appTerm
appTerm
9093
def
nil
cons
9094
def
cons
nil
cons
9095
def
cons
nil
cons
cons
187
ref
subst
proveHyp
9084
remove
nil
9085
remove
119
ref
7
ref
9091
ref
appTerm
9093
ref
appTerm
9096
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
9091
remove
nil
cons
9097
def
cons
9095
remove
cons
nil
cons
cons
9098
def
136
ref
subst
9098
remove
195
ref
subst
nil
162
ref
9088
ref
nil
cons
9099
def
cons
164
ref
9090
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
9100
def
178
ref
subst
9100
remove
436
ref
subst
306
ref
nil
149
ref
9099
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
9088
remove
assume
eqMp
appThm
741
ref
3189
remove
9090
remove
assume
appThm
3255
remove
appThm
6768
remove
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
9097
ref
cons
164
ref
9094
ref
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
nil
117
ref
8664
remove
9096
remove
appTerm
nil
cons
cons
119
ref
7
ref
9092
remove
appTerm
9093
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
8111
remove
9094
ref
cons
8112
remove
9097
remove
cons
8113
remove
8722
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
8143
remove
119
ref
7
ref
43
ref
8119
ref
appTerm
8118
remove
8120
ref
appTerm
9101
def
appTerm
appTerm
7
ref
8138
remove
8114
ref
appTerm
appTerm
8120
ref
appTerm
appTerm
nil
cons
9102
def
cons
nil
cons
9103
def
cons
nil
cons
cons
9104
def
136
ref
subst
9104
remove
195
ref
subst
120
ref
"_13205"
3
ref
var
9105
def
7
ref
43
ref
9105
remove
varTerm
9106
def
appTerm
9101
ref
appTerm
appTerm
7
ref
7
ref
9106
remove
appTerm
8114
ref
appTerm
appTerm
8120
ref
appTerm
appTerm
absTerm
9107
def
8119
remove
appTerm
9108
def
appTerm
refl
9109
def
9107
ref
539
ref
appTerm
betaConv
appThm
166
ref
9108
remove
betaConv
appThm
9110
def
7
ref
1103
remove
9101
ref
appTerm
appTerm
7
ref
553
ref
8114
ref
appTerm
appTerm
8120
ref
appTerm
appTerm
refl
appThm
trans
9107
remove
refl
9111
def
8154
remove
appThm
eqMp
sym
235
ref
nil
149
ref
9101
ref
nil
cons
cons
nil
cons
nil
cons
cons
9112
def
1107
remove
subst
appThm
235
ref
nil
149
ref
8196
remove
cons
nil
cons
nil
cons
cons
9113
def
1062
ref
subst
appThm
8187
ref
appThm
8188
remove
trans
appThm
8193
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
8155
remove
164
ref
9102
ref
cons
nil
cons
9114
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
8159
remove
9103
remove
cons
nil
cons
cons
9115
def
136
ref
subst
9115
remove
195
ref
subst
9109
remove
"_13203"
3
remove
var
9116
def
7
ref
43
ref
9116
remove
varTerm
9117
def
appTerm
9101
ref
appTerm
appTerm
7
ref
7
ref
9117
remove
appTerm
8114
ref
appTerm
appTerm
8120
ref
appTerm
appTerm
absTerm
141
ref
appTerm
betaConv
appThm
9110
remove
7
ref
424
remove
9101
remove
appTerm
appTerm
7
ref
301
remove
8114
remove
appTerm
appTerm
8120
remove
appTerm
appTerm
refl
appThm
trans
9111
remove
8164
remove
appThm
eqMp
sym
235
ref
9112
ref
428
ref
subst
appThm
235
ref
9113
remove
305
ref
subst
appThm
8187
remove
appThm
appThm
9112
remove
318
remove
subst
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
8167
ref
9114
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
8169
remove
nil
8167
remove
8170
remove
1064
ref
9102
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
117
ref
9094
remove
cons
9086
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
723
remove
13
ref
8666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3650
remove
25
ref
appTerm
9118
def
betaConv
3652
ref
23
ref
appTerm
9119
def
betaConv
nil
3691
remove
119
ref
9119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
3652
remove
nil
cons
cons
580
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
6487
remove
cons
119
ref
9118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
6489
remove
266
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
9120
def
subst
eqMp
eqMp
eqMp
nil
792
ref
164
ref
8724
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
8789
remove
proveHyp
8790
remove
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9079
remove
cons
8943
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
8662
remove
9078
remove
appTerm
nil
cons
cons
119
ref
7
ref
8781
remove
8663
ref
9076
remove
absTerm
9121
def
appTerm
appTerm
8783
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
8814
remove
8663
ref
235
ref
9121
ref
8665
remove
appTerm
betaConv
9122
def
appThm
8788
ref
appThm
absThm
appThm
appThm
235
ref
9069
ref
8663
ref
9122
remove
absThm
appThm
appThm
9069
remove
8663
remove
8788
remove
absThm
appThm
appThm
appThm
nil
9071
remove
9121
remove
nil
cons
cons
9075
remove
8791
remove
cons
nil
cons
cons
nil
cons
cons
8695
remove
8652
remove
subst
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
257
ref
246
ref
7
ref
8980
remove
appTerm
8783
remove
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
8982
remove
appTerm
8797
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
1721
remove
246
ref
235
ref
9038
remove
appThm
8786
ref
appThm
absThm
appThm
appThm
235
ref
9039
remove
appThm
2409
remove
246
ref
8786
remove
absThm
appThm
appThm
appThm
nil
2970
remove
9041
remove
cons
9040
remove
8795
remove
cons
nil
cons
cons
nil
cons
cons
9042
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
9043
remove
164
ref
8798
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
8975
remove
appTerm
thm
nil
512
ref
60
ref
2365
ref
2347
ref
257
ref
246
ref
6779
remove
absTerm
9123
def
appTerm
9124
def
absTerm
9125
def
appTerm
9126
def
absTerm
9127
def
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
9126
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
ref
9125
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2347
ref
nil
149
ref
9124
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
261
ref
9123
remove
nil
cons
cons
nil
cons
nil
cons
cons
2481
ref
subst
246
ref
nil
149
ref
6780
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
6778
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
59
ref
9127
remove
appTerm
thm
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
235
ref
3370
remove
43
ref
3357
remove
appTerm
12
ref
13
ref
12
ref
14
ref
7
ref
729
ref
3645
ref
27
ref
appTerm
appTerm
appTerm
3853
remove
2485
remove
constTerm
9128
def
3354
ref
appTerm
9129
def
3353
ref
25
ref
appTerm
9130
def
appTerm
9131
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
9132
def
refl
appThm
appThm
2727
ref
8538
ref
appTerm
9133
def
3300
ref
appTerm
9134
def
refl
9135
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
235
ref
nil
2103
remove
9132
ref
nil
cons
cons
8328
remove
cons
nil
cons
cons
8338
remove
subst
appThm
9135
remove
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
237
ref
32
ref
nil
1069
remove
9134
ref
nil
cons
9136
def
cons
119
ref
8354
remove
9132
ref
appTerm
9137
def
nil
cons
9138
def
cons
3391
ref
cons
cons
nil
cons
cons
3387
remove
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
298
ref
60
ref
3369
ref
3352
ref
237
ref
379
ref
166
ref
237
ref
32
ref
299
ref
32
ref
7
ref
9137
remove
appTerm
9134
ref
appTerm
absTerm
9139
def
36
ref
appTerm
9140
def
betaConv
9141
def
appThm
absThm
appThm
appThm
299
ref
237
ref
32
ref
9141
ref
absThm
appThm
appThm
appThm
nil
1621
ref
9139
ref
nil
cons
9142
def
cons
3391
ref
cons
nil
cons
cons
3402
ref
subst
eqMp
absThm
appThm
166
ref
237
ref
379
ref
299
ref
379
ref
17
ref
9139
remove
appTerm
9143
def
absTerm
9144
def
382
ref
appTerm
9145
def
betaConv
9146
def
appThm
absThm
appThm
appThm
299
ref
237
remove
379
ref
9146
ref
absThm
appThm
appThm
appThm
nil
1621
remove
9144
ref
nil
cons
9147
def
cons
3391
ref
cons
nil
cons
cons
3402
remove
subst
eqMp
trans
absThm
appThm
166
ref
3369
ref
3352
ref
299
ref
3352
ref
17
ref
9144
remove
appTerm
9148
def
absTerm
9149
def
3353
ref
appTerm
9150
def
betaConv
9151
def
appThm
absThm
appThm
appThm
299
ref
3369
remove
3352
ref
9151
ref
absThm
appThm
appThm
appThm
nil
3413
remove
9149
ref
nil
cons
9152
def
cons
3391
remove
cons
nil
cons
cons
3417
remove
subst
eqMp
trans
absThm
appThm
sym
nil
3418
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
8374
remove
43
ref
3420
remove
appTerm
12
ref
13
ref
12
ref
14
ref
7
ref
3422
remove
3711
remove
27
remove
appTerm
appTerm
appTerm
9131
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
9153
def
appTerm
appTerm
2727
ref
6006
ref
6008
ref
6009
ref
451
ref
13
ref
8535
remove
2258
remove
appTerm
absTerm
appTerm
absTerm
9154
def
appTerm
9155
def
appTerm
9156
def
appTerm
9157
def
3300
ref
appTerm
9158
def
appTerm
9159
def
absTerm
9160
def
appTerm
9161
def
absTerm
9162
def
appTerm
9163
def
absTerm
9164
def
nil
cons
cons
nil
cons
nil
cons
cons
3428
ref
subst
3352
ref
nil
149
ref
9163
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
9162
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
9161
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
9160
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
9159
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
235
ref
8370
remove
9153
ref
refl
appThm
appThm
9158
ref
refl
appThm
sym
nil
117
ref
8373
remove
9153
ref
appTerm
nil
cons
9165
def
cons
119
ref
9158
remove
nil
cons
9166
def
cons
nil
cons
cons
nil
cons
cons
9167
def
136
ref
subst
9167
remove
195
ref
subst
nil
3457
remove
164
ref
9153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
120
ref
"_11596"
0
ref
var
9168
def
9157
ref
3284
ref
9168
remove
varTerm
appTerm
36
ref
appTerm
appTerm
absTerm
9169
def
382
ref
appTerm
9170
def
appTerm
refl
9169
ref
84
remove
appTerm
betaConv
appThm
166
ref
9170
remove
betaConv
appThm
9157
ref
3447
remove
appTerm
refl
appThm
trans
9169
remove
refl
3448
remove
appThm
eqMp
sym
9157
remove
refl
3452
remove
appThm
nil
2545
ref
9156
remove
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
1569
remove
subst
subst
nil
8479
ref
9155
remove
nil
cons
cons
nil
cons
nil
cons
cons
2394
ref
5822
remove
120
ref
465
remove
5940
remove
appTerm
56
ref
appTerm
appTerm
59
ref
454
remove
5945
remove
5459
remove
appTerm
absTerm
appTerm
appTerm
absTerm
9171
def
5939
remove
appTerm
9172
def
betaConv
nil
5950
ref
9171
ref
appTerm
9173
def
axiom
nil
117
ref
9173
remove
nil
cons
cons
119
ref
9172
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
ref
5953
ref
9171
remove
nil
cons
cons
5955
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
trans
trans
sym
3312
ref
2347
ref
235
ref
nil
8311
ref
9154
ref
nil
cons
cons
2404
remove
cons
nil
cons
cons
2385
ref
6034
remove
subst
9174
def
subst
9154
remove
2349
remove
appTerm
betaConv
trans
1198
ref
13
ref
43
ref
6807
ref
3354
ref
appTerm
9175
def
appTerm
refl
2263
remove
appThm
nil
149
ref
9175
remove
nil
cons
cons
nil
cons
nil
cons
cons
5324
remove
subst
trans
absThm
appThm
745
remove
5007
remove
subst
trans
trans
appThm
6807
remove
2488
remove
appTerm
9176
def
refl
appThm
nil
149
ref
9176
remove
nil
cons
cons
nil
cons
nil
cons
cons
1062
remove
subst
trans
absThm
appThm
4248
remove
trans
sym
155
ref
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
162
ref
9165
remove
cons
164
ref
9166
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
117
ref
3365
ref
9164
remove
appTerm
9177
def
nil
cons
cons
119
ref
12
ref
13
ref
59
ref
60
ref
7
ref
43
ref
3365
ref
9149
remove
appTerm
9178
def
appTerm
9179
def
965
remove
appTerm
appTerm
9180
def
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
8378
ref
43
ref
3470
remove
appTerm
9181
def
12
ref
3462
ref
12
ref
7821
ref
7
ref
3473
ref
43
ref
7825
ref
72
ref
appTerm
appTerm
19
ref
3724
remove
7822
ref
appTerm
appTerm
9182
def
appTerm
appTerm
appTerm
9128
ref
3467
ref
appTerm
9183
def
3353
ref
7822
ref
appTerm
appTerm
9184
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
2727
ref
6006
ref
6008
ref
6009
ref
451
ref
3462
ref
43
ref
6010
remove
3467
ref
appTerm
appTerm
9185
def
3465
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
3300
ref
appTerm
9186
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
14
ref
59
ref
60
ref
7
ref
9179
remove
43
ref
19
ref
3644
remove
appTerm
9187
def
appTerm
64
remove
appTerm
9188
def
appTerm
9189
def
appTerm
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
43
ref
31
ref
221
remove
2270
ref
appTerm
appTerm
9190
def
382
ref
appTerm
appTerm
43
ref
12
ref
3462
ref
7
ref
3464
remove
2270
ref
appTerm
9191
def
appTerm
3468
ref
appTerm
absTerm
9192
def
appTerm
9193
def
appTerm
12
ref
3462
ref
12
ref
7821
ref
7
ref
43
ref
9191
ref
appTerm
9194
def
43
ref
7825
remove
2270
ref
appTerm
appTerm
9182
remove
appTerm
appTerm
9195
def
appTerm
9184
ref
appTerm
absTerm
9196
def
appTerm
9197
def
absTerm
9198
def
appTerm
9199
def
appTerm
9200
def
appTerm
9201
def
appTerm
2727
ref
6006
ref
6008
remove
6009
remove
451
ref
3462
ref
9185
remove
9191
ref
appTerm
absTerm
appTerm
absTerm
9202
def
appTerm
9203
def
appTerm
appTerm
9204
def
3300
remove
appTerm
9205
def
appTerm
9206
def
absTerm
9207
def
appTerm
9208
def
absTerm
9209
def
appTerm
9210
def
absTerm
9211
def
appTerm
9212
def
appTerm
9213
def
absTerm
9214
def
appTerm
9215
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
14
ref
nil
149
ref
9215
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
ref
9214
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
ref
subst
60
ref
nil
149
ref
9213
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9189
remove
nil
cons
9216
def
cons
119
ref
9212
remove
nil
cons
9217
def
cons
nil
cons
cons
nil
cons
cons
9218
def
136
ref
subst
9218
remove
195
ref
subst
nil
162
ref
9178
ref
nil
cons
9219
def
cons
164
ref
9188
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9220
def
178
ref
subst
9220
remove
436
ref
subst
nil
162
ref
9187
ref
nil
cons
9221
def
cons
996
remove
cons
nil
cons
cons
9222
def
178
ref
subst
9222
remove
436
ref
subst
nil
3418
ref
9211
remove
nil
cons
cons
nil
cons
nil
cons
cons
3428
remove
subst
3352
ref
nil
149
ref
9210
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
9209
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
379
ref
nil
149
ref
9208
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
ref
9207
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
ref
subst
32
ref
nil
149
ref
9206
ref
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
8405
remove
9200
ref
appTerm
9223
def
nil
cons
9224
def
cons
9225
def
119
ref
120
ref
9205
ref
appTerm
9226
def
9205
ref
appTerm
9227
def
nil
cons
9228
def
cons
nil
cons
cons
nil
cons
cons
9229
def
136
ref
subst
9229
remove
195
ref
subst
9205
ref
refl
eqMp
nil
162
ref
9224
ref
cons
9230
def
164
ref
9228
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
9223
ref
appTerm
9231
def
9227
remove
appTerm
nil
cons
cons
119
ref
120
ref
9206
remove
appTerm
9232
def
9231
ref
9205
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1443
ref
9205
remove
nil
cons
9233
def
cons
nil
cons
nil
cons
cons
306
ref
238
remove
nil
625
remove
119
ref
9190
remove
6615
remove
227
ref
appTerm
228
ref
appTerm
9234
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
6521
ref
1004
remove
subst
eqMp
nil
1268
remove
119
ref
3492
ref
228
ref
appTerm
9235
def
nil
cons
9236
def
cons
nil
cons
cons
nil
cons
cons
9237
def
136
ref
subst
9237
remove
195
ref
subst
1011
remove
eqMp
nil
1275
remove
164
ref
9236
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
1276
ref
9235
remove
appTerm
nil
cons
cons
119
ref
31
remove
9234
remove
appTerm
9238
def
1278
remove
227
remove
appTerm
9239
def
228
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1280
ref
1012
ref
cons
nil
cons
nil
cons
cons
nil
554
remove
119
ref
3857
ref
nil
cons
9240
def
cons
nil
cons
cons
nil
cons
cons
9241
def
136
ref
subst
9241
remove
195
ref
subst
878
remove
eqMp
nil
561
remove
164
ref
9240
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
553
ref
3857
remove
appTerm
nil
cons
cons
119
ref
7
ref
1276
remove
3492
remove
1282
ref
appTerm
9242
def
appTerm
appTerm
9243
def
9238
ref
9239
remove
1282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1285
ref
636
ref
cons
nil
cons
nil
cons
cons
nil
117
ref
9221
remove
cons
119
ref
6635
remove
539
ref
appTerm
nil
cons
9244
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
nil
3825
ref
nil
cons
nil
cons
cons
562
ref
subst
eqMp
9245
def
nil
117
ref
9244
remove
cons
119
ref
7
ref
553
remove
499
remove
1290
ref
appTerm
9246
def
appTerm
appTerm
9243
remove
9238
ref
1293
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1295
remove
1280
remove
6637
remove
7
ref
1297
remove
9246
remove
appTerm
appTerm
7
ref
1299
remove
9242
remove
appTerm
appTerm
9238
remove
1301
remove
appTerm
appTerm
appTerm
appTerm
absTerm
9247
def
1282
remove
appTerm
9248
def
betaConv
1285
remove
17
ref
9247
ref
appTerm
9249
def
absTerm
9250
def
1290
remove
appTerm
9251
def
betaConv
1294
remove
17
ref
9250
ref
appTerm
9252
def
absTerm
9253
def
1296
remove
appTerm
9254
def
betaConv
nil
1310
remove
1012
remove
cons
1313
remove
636
remove
cons
6646
remove
cons
cons
nil
cons
cons
1438
remove
subst
nil
117
ref
280
ref
9253
ref
appTerm
nil
cons
cons
119
ref
9254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9253
remove
nil
cons
cons
1409
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9252
remove
nil
cons
cons
119
ref
9251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
9250
remove
nil
cons
cons
1439
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9249
remove
nil
cons
cons
119
ref
9248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
9247
remove
nil
cons
cons
1440
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
1013
remove
trans
trans
appThm
3429
remove
appThm
appThm
9200
ref
refl
appThm
nil
117
ref
120
ref
9201
ref
appTerm
9255
def
9223
remove
appTerm
nil
cons
cons
119
ref
7
ref
9231
ref
9226
remove
1450
ref
appTerm
9256
def
appTerm
appTerm
9232
ref
9231
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
9224
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
9255
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
9256
remove
appTerm
appTerm
9232
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
9257
def
1450
ref
appTerm
9258
def
betaConv
1452
ref
280
ref
9257
ref
appTerm
9259
def
absTerm
9260
def
1453
ref
appTerm
9261
def
betaConv
nil
119
ref
9233
ref
cons
9262
def
117
ref
9201
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
9260
ref
appTerm
nil
cons
cons
119
ref
9261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9260
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9259
remove
nil
cons
cons
119
ref
9258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9257
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
sym
nil
9225
remove
9262
remove
nil
cons
cons
nil
cons
cons
9263
def
136
ref
subst
9263
remove
195
ref
subst
nil
3499
remove
164
ref
9200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9264
def
178
ref
subst
9264
remove
436
ref
subst
120
ref
"_11598"
0
remove
var
9265
def
9204
ref
3284
remove
9265
remove
varTerm
appTerm
36
ref
appTerm
appTerm
absTerm
9266
def
382
remove
appTerm
9267
def
appTerm
refl
9266
ref
228
remove
appTerm
betaConv
appThm
166
ref
9267
remove
betaConv
appThm
9204
remove
3551
ref
appTerm
refl
appThm
trans
9266
remove
refl
8431
remove
appThm
eqMp
sym
nil
162
ref
9193
remove
nil
cons
9268
def
cons
164
ref
9199
remove
nil
cons
9269
def
cons
nil
cons
cons
nil
cons
cons
9270
def
178
ref
subst
9270
remove
436
ref
subst
nil
"t"
6005
ref
var
9271
def
66
remove
2
ref
2314
ref
2
ref
6005
ref
6007
remove
cons
opType
nil
cons
cons
opType
constTerm
9130
ref
appTerm
8537
ref
appTerm
9272
def
nil
cons
cons
8479
ref
9203
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2385
ref
3907
remove
subst
subst
3312
ref
2402
ref
166
ref
nil
8311
ref
9202
ref
nil
cons
cons
nil
cons
nil
cons
cons
9174
ref
subst
9202
remove
2402
ref
varTerm
9273
def
appTerm
betaConv
trans
1198
ref
3462
ref
306
ref
nil
2347
ref
3467
ref
nil
cons
cons
2545
ref
9273
ref
nil
cons
cons
nil
cons
9274
def
cons
nil
cons
cons
7365
ref
subst
appThm
7768
remove
2282
ref
subst
9275
def
appThm
absThm
appThm
trans
appThm
nil
8479
remove
8537
remove
nil
cons
9276
def
cons
8483
remove
9130
ref
nil
cons
9277
def
cons
nil
cons
cons
nil
cons
cons
2385
remove
2282
ref
subst
subst
1675
ref
nil
2347
ref
9277
ref
cons
9274
ref
cons
nil
cons
cons
7365
ref
subst
appThm
nil
8311
remove
8536
ref
nil
cons
cons
nil
cons
nil
cons
cons
9174
remove
subst
8536
remove
9273
ref
appTerm
betaConv
trans
9278
def
1198
ref
13
ref
306
ref
nil
2347
ref
3639
remove
cons
9274
remove
cons
nil
cons
cons
7365
ref
subst
appThm
3627
ref
appThm
absThm
appThm
trans
appThm
trans
appThm
absThm
appThm
trans
sym
nil
2381
ref
2402
ref
120
ref
451
ref
3462
ref
43
ref
104
ref
2400
ref
120
ref
3597
ref
9273
ref
appTerm
appTerm
9279
def
3597
ref
3467
ref
appTerm
9280
def
appTerm
absTerm
9281
def
appTerm
9282
def
appTerm
9283
def
883
ref
3725
ref
appTerm
9284
def
3575
ref
appTerm
9285
def
appTerm
9286
def
absTerm
9287
def
appTerm
9288
def
appTerm
883
ref
104
ref
2400
ref
9279
ref
3597
ref
9130
ref
appTerm
9289
def
appTerm
absTerm
9290
def
appTerm
9291
def
appTerm
451
ref
13
ref
43
ref
104
ref
2400
ref
9279
ref
3598
remove
appTerm
absTerm
appTerm
appTerm
80
ref
appTerm
absTerm
9292
def
appTerm
9293
def
appTerm
9294
def
appTerm
9295
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2402
ref
nil
149
ref
9295
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9288
ref
nil
cons
9296
def
cons
119
ref
9294
ref
nil
cons
9297
def
cons
nil
cons
9298
def
cons
nil
cons
cons
495
ref
subst
nil
188
ref
3462
ref
7
ref
9287
ref
3463
ref
appTerm
9299
def
appTerm
9294
ref
appTerm
9300
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
9300
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9299
ref
nil
cons
9301
def
cons
9298
ref
cons
nil
cons
cons
9302
def
136
ref
subst
9302
remove
195
ref
subst
9299
ref
betaConv
9303
def
9299
remove
assume
eqMp
nil
117
ref
9286
remove
nil
cons
9304
def
cons
9298
ref
cons
nil
cons
cons
9305
def
187
ref
subst
proveHyp
9305
ref
136
ref
subst
9305
remove
195
ref
subst
nil
162
ref
9282
ref
nil
cons
9306
def
cons
9307
def
164
ref
9285
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9308
def
178
ref
subst
9308
remove
436
ref
subst
nil
3874
ref
9298
ref
cons
nil
cons
cons
9309
def
136
ref
subst
9309
remove
195
ref
subst
9292
ref
3463
ref
appTerm
9310
def
betaConv
9311
def
sym
306
ref
2406
ref
2400
ref
166
ref
9281
ref
3596
ref
appTerm
9312
def
betaConv
nil
117
ref
9306
remove
cons
119
ref
9312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
9281
remove
nil
cons
cons
7729
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
9280
ref
refl
appThm
nil
284
ref
9280
remove
nil
cons
cons
nil
cons
nil
cons
cons
1608
ref
subst
trans
absThm
appThm
289
remove
2426
remove
subst
9313
def
trans
appThm
9314
def
3795
ref
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
9292
ref
nil
cons
cons
9315
def
3635
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
nil
162
ref
9291
remove
nil
cons
9316
def
cons
9317
def
164
ref
9293
ref
nil
cons
cons
9318
def
nil
cons
cons
nil
cons
cons
9319
def
7500
remove
subst
proveHyp
eqMp
nil
3822
ref
164
ref
9297
ref
cons
nil
cons
9320
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
3819
ref
cons
9298
remove
cons
nil
cons
cons
9321
def
136
ref
subst
9321
remove
195
ref
subst
120
ref
"_11602"
9
ref
var
9322
def
104
remove
2400
ref
9279
remove
3597
remove
3353
ref
9322
remove
varTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
9323
def
25
ref
appTerm
9324
def
appTerm
refl
9323
ref
3463
ref
appTerm
betaConv
appThm
166
ref
9324
remove
betaConv
appThm
9282
ref
refl
appThm
trans
9323
remove
refl
3725
ref
assume
sym
appThm
eqMp
sym
9282
remove
assume
eqMp
9319
remove
7481
remove
7486
remove
149
ref
7487
remove
7491
remove
7492
remove
7496
remove
7497
remove
nil
547
remove
7494
remove
cons
nil
cons
cons
187
ref
subst
7482
remove
assume
eqMp
eqMp
7498
remove
deductAntisym
eqMp
eqMp
7499
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
nil
162
ref
3819
ref
cons
9325
def
9320
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
9325
remove
3782
remove
1064
ref
9297
ref
cons
nil
cons
cons
cons
nil
cons
cons
1080
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9304
remove
cons
9320
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
9301
remove
cons
9320
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
9287
ref
23
ref
appTerm
appTerm
9294
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
9288
ref
appTerm
9294
ref
appTerm
nil
cons
9326
def
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
9287
ref
nil
cons
cons
9327
def
9320
remove
cons
nil
cons
cons
947
ref
subst
eqMp
nil
117
ref
9326
remove
cons
119
ref
7
ref
9294
remove
appTerm
9288
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
117
ref
9297
ref
cons
119
ref
9296
ref
cons
nil
cons
9328
def
cons
nil
cons
cons
9329
def
136
ref
subst
9329
remove
195
ref
subst
nil
188
ref
3462
ref
7
ref
9310
ref
appTerm
9288
ref
appTerm
9330
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
9330
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9310
ref
nil
cons
9331
def
cons
9328
ref
cons
nil
cons
cons
9332
def
136
ref
subst
9332
remove
195
ref
subst
9311
remove
9310
remove
assume
eqMp
nil
117
ref
9283
remove
3575
ref
appTerm
nil
cons
9333
def
cons
9328
ref
cons
nil
cons
cons
9334
def
187
ref
subst
proveHyp
9334
ref
136
ref
subst
9334
remove
195
ref
subst
nil
9307
remove
3783
ref
cons
nil
cons
cons
9335
def
178
ref
subst
9335
remove
436
ref
subst
9303
remove
sym
9314
remove
9284
remove
refl
3795
remove
appThm
nil
149
ref
3819
remove
cons
nil
cons
nil
cons
cons
3799
ref
subst
trans
9336
def
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
9327
ref
3635
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9333
remove
cons
164
ref
9296
ref
cons
nil
cons
9337
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
9331
remove
cons
9337
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
9292
remove
23
ref
appTerm
appTerm
9288
ref
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
7
ref
9293
remove
appTerm
9288
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
9315
remove
9337
ref
cons
nil
cons
cons
947
ref
subst
eqMp
nil
117
ref
9316
remove
cons
9338
def
9328
remove
cons
nil
cons
cons
9339
def
136
ref
subst
9339
remove
195
ref
subst
9287
remove
25
ref
appTerm
betaConv
sym
306
ref
2406
remove
2400
ref
166
ref
9290
ref
3596
ref
appTerm
9340
def
betaConv
nil
9338
remove
119
ref
9340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
ref
2391
ref
9290
remove
nil
cons
cons
7729
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
appThm
9289
ref
refl
appThm
nil
284
remove
9289
remove
nil
cons
cons
nil
cons
nil
cons
cons
1608
remove
subst
trans
absThm
appThm
9313
remove
trans
appThm
1675
remove
7254
remove
appThm
9245
remove
appThm
3792
remove
trans
9341
def
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
9327
remove
266
ref
cons
nil
cons
cons
1192
ref
subst
proveHyp
eqMp
nil
9317
ref
9337
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
9317
remove
9318
remove
1064
remove
9296
remove
cons
nil
cons
cons
cons
nil
cons
cons
1080
remove
subst
proveHyp
proveHyp
eqMp
nil
162
ref
9297
remove
cons
9337
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
120
ref
"_11600"
6005
ref
var
9342
def
2727
ref
6006
ref
9342
remove
varTerm
appTerm
appTerm
3551
ref
appTerm
absTerm
9343
def
9203
ref
appTerm
9344
def
appTerm
refl
9343
ref
9272
ref
appTerm
betaConv
appThm
166
ref
9344
remove
betaConv
appThm
2727
ref
6006
remove
9272
ref
appTerm
appTerm
3551
remove
appTerm
refl
appThm
trans
9343
remove
refl
20
remove
2
remove
6005
remove
8477
remove
cons
opType
constTerm
9203
remove
appTerm
9272
remove
appTerm
assume
appThm
eqMp
sym
4240
remove
nil
8432
remove
9276
ref
cons
2545
ref
9277
remove
cons
nil
cons
9345
def
cons
nil
cons
cons
8443
remove
subst
appThm
3573
remove
appThm
sym
2727
ref
8451
remove
9130
ref
appTerm
8538
ref
appTerm
appTerm
9346
def
refl
9347
def
8450
remove
appThm
sym
9347
remove
8455
remove
appThm
sym
306
ref
6521
remove
2282
ref
subst
9341
remove
trans
9348
def
sym
155
ref
eqMp
nil
117
ref
3643
ref
2270
ref
appTerm
9349
def
nil
cons
cons
119
ref
120
ref
2727
ref
9130
ref
appTerm
36
ref
appTerm
9350
def
appTerm
141
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
3462
ref
265
remove
cons
nil
cons
9351
def
nil
cons
cons
nil
117
ref
9191
remove
nil
cons
9352
def
cons
9353
def
119
ref
120
ref
3468
remove
appTerm
141
ref
appTerm
nil
cons
9354
def
cons
nil
cons
cons
nil
cons
cons
9355
def
136
ref
subst
9355
remove
195
ref
subst
nil
149
ref
3875
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
9353
remove
3876
remove
cons
nil
cons
cons
187
ref
subst
9192
ref
3463
ref
appTerm
9356
def
betaConv
nil
117
ref
9268
remove
cons
119
ref
9356
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
9192
remove
nil
cons
cons
3635
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
9352
remove
cons
164
ref
9354
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
9357
def
subst
eqMp
appThm
306
ref
6847
remove
306
ref
236
ref
13
ref
nil
675
remove
119
ref
120
ref
3355
remove
appTerm
9358
def
141
ref
appTerm
9359
def
nil
cons
9360
def
cons
nil
cons
9361
def
cons
nil
cons
cons
9362
def
136
ref
subst
9362
remove
195
ref
subst
2282
ref
2272
remove
refl
9363
def
694
remove
appThm
6505
remove
3799
ref
subst
9364
def
trans
trans
sym
155
ref
eqMp
nil
117
ref
2271
ref
nil
cons
cons
9361
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
3632
remove
9357
remove
subst
eqMp
eqMp
nil
792
ref
164
ref
9360
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
630
ref
9359
remove
appTerm
nil
cons
cons
119
ref
120
ref
3356
remove
appTerm
9365
def
630
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
ref
3627
remove
nil
117
ref
804
ref
80
ref
appTerm
nil
cons
cons
119
ref
7
ref
630
ref
9358
remove
1450
ref
appTerm
9366
def
appTerm
appTerm
9365
ref
630
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
640
remove
cons
nil
cons
nil
cons
cons
1443
ref
7
ref
804
remove
1453
ref
appTerm
appTerm
7
ref
1454
ref
9366
remove
appTerm
appTerm
9365
remove
1455
ref
appTerm
appTerm
appTerm
absTerm
9367
def
1450
ref
appTerm
9368
def
betaConv
1452
ref
280
ref
9367
ref
appTerm
9369
def
absTerm
9370
def
1453
ref
appTerm
9371
def
betaConv
nil
3623
remove
7591
remove
cons
nil
cons
cons
1529
ref
subst
nil
117
ref
280
ref
9370
ref
appTerm
nil
cons
cons
119
ref
9371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9370
remove
nil
cons
cons
1530
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9369
remove
nil
cons
cons
119
ref
9368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9367
remove
nil
cons
cons
1531
ref
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
4242
remove
trans
absThm
appThm
297
ref
trans
appThm
236
ref
13
ref
236
ref
"_11616"
9
remove
var
9372
def
nil
117
ref
729
ref
43
ref
78
remove
9372
remove
varTerm
9373
def
appTerm
9374
def
63
ref
appTerm
9375
def
appTerm
19
ref
24
remove
9373
ref
appTerm
9376
def
appTerm
9377
def
appTerm
9378
def
appTerm
9379
def
nil
cons
9380
def
cons
9381
def
119
ref
120
ref
9129
remove
3353
remove
9373
ref
appTerm
appTerm
9382
def
appTerm
9383
def
141
ref
appTerm
9384
def
nil
cons
9385
def
cons
nil
cons
9386
def
cons
nil
cons
cons
9387
def
136
ref
subst
9387
remove
195
ref
subst
306
ref
2282
ref
9363
remove
692
remove
nil
792
ref
164
ref
9378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9388
def
178
ref
subst
eqMp
appThm
9364
remove
trans
trans
appThm
306
ref
nil
13
ref
9373
ref
nil
cons
9389
def
cons
nil
cons
nil
cons
cons
2282
remove
subst
883
remove
22
remove
9373
remove
appTerm
25
ref
appTerm
9390
def
appTerm
refl
nil
149
ref
9375
remove
nil
cons
9391
def
cons
nil
cons
nil
cons
cons
156
ref
subst
9388
remove
436
ref
subst
9392
def
nil
162
ref
9391
remove
cons
164
ref
9377
ref
nil
cons
9393
def
cons
nil
cons
cons
nil
cons
cons
9394
def
178
ref
subst
proveHyp
eqMp
appThm
nil
149
ref
9390
remove
nil
cons
cons
nil
cons
nil
cons
cons
3799
remove
subst
trans
trans
appThm
537
ref
9392
remove
9394
remove
436
ref
subst
proveHyp
nil
117
ref
9393
remove
cons
119
ref
120
ref
9376
ref
appTerm
539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
162
ref
9376
remove
nil
cons
cons
nil
cons
nil
cons
cons
562
ref
subst
eqMp
appThm
566
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
43
ref
2271
remove
appTerm
43
ref
9374
remove
2270
remove
appTerm
appTerm
9377
remove
appTerm
appTerm
nil
cons
cons
9386
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
7821
ref
9389
remove
cons
3631
remove
cons
nil
cons
cons
nil
117
ref
9195
remove
nil
cons
9395
def
cons
9396
def
119
ref
120
ref
9184
ref
appTerm
141
ref
appTerm
nil
cons
9397
def
cons
nil
cons
cons
nil
cons
cons
9398
def
136
ref
subst
9398
remove
195
ref
subst
nil
149
ref
9184
remove
nil
cons
9399
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
9396
remove
119
ref
9399
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
9196
ref
7822
remove
appTerm
9400
def
betaConv
9198
ref
3463
ref
appTerm
9401
def
betaConv
nil
117
ref
9269
remove
cons
119
ref
9401
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
264
ref
188
ref
9198
remove
nil
cons
cons
3635
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9197
remove
nil
cons
cons
119
ref
9400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
9196
remove
nil
cons
cons
7836
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
9402
def
eqMp
eqMp
eqMp
nil
162
ref
9395
remove
cons
164
ref
9397
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
162
ref
9380
ref
cons
164
ref
9385
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
9379
ref
appTerm
9403
def
9384
remove
appTerm
nil
cons
cons
119
ref
120
ref
9403
ref
9382
ref
appTerm
appTerm
9404
def
9403
ref
141
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
1444
remove
9379
ref
refl
nil
117
ref
120
ref
9379
ref
appTerm
9405
def
9379
remove
appTerm
nil
cons
cons
119
ref
7
ref
9403
ref
9383
remove
1450
ref
appTerm
9406
def
appTerm
appTerm
9404
ref
9403
remove
1450
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
1452
ref
9380
ref
cons
nil
cons
nil
cons
cons
1443
remove
7
ref
9405
remove
1453
ref
appTerm
appTerm
7
ref
1454
remove
9406
remove
appTerm
appTerm
9404
remove
1455
remove
appTerm
appTerm
appTerm
absTerm
9407
def
1450
remove
appTerm
9408
def
betaConv
1452
remove
280
ref
9407
ref
appTerm
9409
def
absTerm
9410
def
1453
remove
appTerm
9411
def
betaConv
nil
119
ref
9382
remove
nil
cons
cons
9381
remove
nil
cons
cons
nil
cons
cons
1529
remove
subst
nil
117
ref
280
remove
9410
ref
appTerm
nil
cons
cons
119
ref
9411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
ref
283
ref
9410
remove
nil
cons
cons
1530
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9409
remove
nil
cons
cons
119
ref
9408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
282
remove
283
remove
9407
remove
nil
cons
cons
1531
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
nil
149
ref
9380
remove
cons
nil
cons
nil
cons
cons
287
remove
subst
trans
absThm
appThm
297
ref
trans
absThm
appThm
297
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
nil
117
ref
6432
remove
9132
ref
appTerm
nil
cons
cons
119
ref
120
ref
9133
remove
3860
remove
appTerm
9412
def
appTerm
141
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
6192
remove
nil
117
ref
9138
ref
cons
9413
def
119
ref
120
ref
9134
ref
appTerm
141
remove
appTerm
nil
cons
9414
def
cons
nil
cons
cons
nil
cons
cons
9415
def
136
ref
subst
9415
remove
195
ref
subst
nil
149
ref
9136
ref
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
9413
remove
119
ref
9136
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
9141
remove
9146
remove
9151
remove
nil
117
ref
9219
remove
cons
119
ref
9150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
3415
remove
3418
remove
9152
remove
cons
3438
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9148
remove
nil
cons
cons
119
ref
9145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
ref
211
ref
9147
remove
cons
394
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9143
remove
nil
cons
cons
119
ref
9140
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
210
remove
211
ref
9142
remove
cons
348
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
162
ref
9138
remove
cons
164
ref
9414
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
subst
eqMp
appThm
9128
remove
9130
ref
appTerm
9416
def
8538
ref
appTerm
9417
def
refl
appThm
nil
149
ref
9417
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
9418
def
trans
appThm
9418
remove
trans
sym
nil
9271
remove
9276
remove
cons
9345
ref
cons
nil
cons
cons
2394
ref
6337
remove
120
ref
3883
ref
5937
remove
6338
ref
appTerm
appTerm
appTerm
59
ref
513
remove
7
ref
6308
remove
6338
ref
appTerm
appTerm
3883
remove
2247
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
9419
def
6338
ref
appTerm
9420
def
betaConv
60
ref
5950
remove
9419
ref
appTerm
9421
def
absTerm
9422
def
63
ref
appTerm
9423
def
betaConv
nil
59
ref
9422
ref
appTerm
9424
def
axiom
nil
117
ref
9424
remove
nil
cons
cons
119
ref
9423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
511
remove
512
ref
9422
remove
nil
cons
cons
515
remove
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
nil
117
ref
9421
remove
nil
cons
cons
119
ref
9420
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
5952
remove
5953
remove
9419
remove
nil
cons
cons
5954
remove
6338
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
208
ref
subst
eqMp
eqMp
subst
subst
3312
remove
2402
ref
235
ref
9278
remove
appThm
9416
ref
9273
ref
appTerm
9425
def
refl
appThm
absThm
appThm
trans
sym
nil
2381
ref
2402
ref
7
ref
451
ref
13
ref
43
ref
2486
ref
9273
ref
appTerm
9426
def
3354
remove
appTerm
appTerm
80
remove
appTerm
absTerm
9427
def
appTerm
appTerm
9425
ref
appTerm
9428
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2386
ref
subst
2402
remove
nil
149
ref
9428
remove
nil
cons
9429
def
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
ref
3462
ref
7
ref
9427
ref
3463
ref
appTerm
9430
def
appTerm
9425
ref
appTerm
9431
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
3462
ref
nil
149
ref
9431
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9430
ref
nil
cons
9432
def
cons
119
ref
9425
ref
nil
cons
9433
def
cons
nil
cons
9434
def
cons
nil
cons
cons
9435
def
136
ref
subst
9435
remove
195
ref
subst
9430
ref
betaConv
9430
remove
assume
eqMp
nil
117
ref
43
ref
9426
remove
3467
ref
appTerm
9436
def
appTerm
3575
ref
appTerm
nil
cons
9437
def
cons
9434
remove
cons
nil
cons
cons
9438
def
187
ref
subst
proveHyp
9438
ref
136
ref
subst
9438
remove
195
ref
subst
nil
162
ref
9436
ref
nil
cons
cons
3783
remove
cons
nil
cons
cons
9439
def
178
ref
subst
9439
remove
436
ref
subst
120
ref
"_11617"
2314
remove
var
9440
def
9416
ref
9440
remove
varTerm
appTerm
absTerm
9441
def
9273
remove
appTerm
9442
def
appTerm
refl
9441
ref
3467
ref
appTerm
betaConv
appThm
166
ref
9442
remove
betaConv
appThm
9416
remove
3467
remove
appTerm
9443
def
refl
appThm
trans
9441
remove
refl
9436
remove
assume
appThm
eqMp
sym
306
ref
9348
remove
appThm
306
ref
9275
remove
9336
remove
trans
appThm
19
ref
1162
remove
3463
ref
appTerm
9444
def
appTerm
9445
def
refl
appThm
nil
149
ref
9445
ref
nil
cons
cons
nil
cons
nil
cons
cons
428
remove
subst
9446
def
trans
appThm
9446
remove
trans
sym
nil
162
ref
9444
ref
nil
cons
9447
def
cons
9448
def
nil
cons
nil
cons
cons
1001
remove
subst
nil
117
ref
9447
remove
cons
549
ref
cons
nil
cons
cons
9449
def
136
ref
subst
9449
remove
195
ref
subst
nil
3874
remove
549
remove
cons
nil
cons
cons
187
ref
subst
3794
remove
1010
remove
subst
537
remove
120
ref
3997
ref
25
ref
appTerm
9450
def
appTerm
refl
3997
remove
3463
remove
appTerm
betaConv
appThm
166
ref
9450
remove
betaConv
appThm
19
ref
3575
ref
appTerm
9451
def
refl
appThm
trans
3998
remove
9444
remove
assume
appThm
eqMp
9187
remove
assume
eqMp
nil
117
ref
9451
remove
nil
cons
cons
119
ref
120
ref
3575
remove
appTerm
539
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
3822
remove
nil
cons
nil
cons
cons
562
remove
subst
eqMp
appThm
566
remove
trans
trans
sym
155
ref
eqMp
eqMp
eqMp
nil
9448
remove
1027
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
117
ref
43
ref
9349
remove
appTerm
9194
remove
9445
remove
appTerm
appTerm
nil
cons
cons
119
ref
9443
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
7821
remove
3634
remove
cons
9351
remove
cons
nil
cons
cons
9402
remove
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
9437
remove
cons
164
ref
9433
remove
cons
nil
cons
9452
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
9432
remove
cons
9452
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
13
ref
7
ref
9427
ref
23
ref
appTerm
appTerm
9425
remove
appTerm
absTerm
appTerm
nil
cons
cons
119
ref
9429
remove
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
188
ref
9427
remove
nil
cons
cons
9452
remove
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
117
ref
43
ref
9350
remove
appTerm
43
ref
9412
remove
appTerm
9417
remove
appTerm
appTerm
nil
cons
cons
119
ref
9346
remove
8456
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
nil
32
ref
8454
remove
cons
380
remove
2347
ref
8538
remove
nil
cons
cons
9345
remove
cons
cons
cons
nil
cons
cons
2394
ref
4223
remove
subst
subst
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
9230
remove
164
ref
9233
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9216
remove
cons
164
ref
9217
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
ref
43
ref
9177
remove
appTerm
12
ref
13
ref
59
ref
60
ref
9180
remove
3365
ref
3352
ref
17
ref
379
ref
17
ref
32
ref
7
ref
8378
remove
9181
remove
12
ref
3462
remove
12
ref
14
ref
7
ref
3473
remove
3719
remove
19
remove
3725
remove
appTerm
appTerm
appTerm
appTerm
9183
remove
9130
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
9186
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
119
ref
59
ref
60
ref
65
remove
9178
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
306
ref
60
ref
9178
remove
absTerm
9453
def
56
remove
appTerm
betaConv
appThm
236
ref
13
ref
298
ref
60
ref
235
ref
306
ref
9453
ref
63
remove
appTerm
betaConv
9454
def
appThm
1033
remove
appThm
appThm
9453
ref
72
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
298
remove
60
ref
299
remove
9454
remove
appThm
absThm
appThm
appThm
nil
1034
remove
9453
remove
nil
cons
cons
nil
cons
nil
cons
cons
1051
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
59
ref
60
ref
3365
remove
3352
remove
17
ref
379
remove
17
ref
32
ref
7
ref
2736
remove
9132
remove
appTerm
appTerm
9134
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
9055
remove
nil
8994
remove
thm
nil
261
remove
246
ref
59
remove
60
ref
2365
remove
2347
ref
5969
remove
7372
ref
17
remove
32
ref
7
ref
498
remove
6456
remove
6443
remove
6738
remove
3654
remove
446
remove
2429
remove
2430
ref
451
ref
13
ref
2434
ref
729
remove
7375
ref
appTerm
9455
def
appTerm
absTerm
appTerm
absTerm
appTerm
9456
def
appTerm
36
ref
appTerm
9457
def
appTerm
9458
def
appTerm
9459
def
appTerm
9460
def
appTerm
9461
def
appTerm
9462
def
appTerm
2727
ref
4288
remove
4290
ref
3318
remove
2400
ref
43
ref
4292
remove
appTerm
9463
def
43
ref
6538
remove
appTerm
7373
ref
3596
ref
appTerm
appTerm
9464
def
appTerm
absTerm
appTerm
absTerm
appTerm
9465
def
appTerm
36
ref
appTerm
9466
def
appTerm
9467
def
absTerm
9468
def
appTerm
9469
def
absTerm
9470
def
appTerm
9471
def
absTerm
9472
def
appTerm
9473
def
absTerm
9474
def
appTerm
9475
def
absTerm
9476
def
nil
cons
cons
nil
cons
nil
cons
cons
2481
remove
subst
246
remove
nil
149
ref
9475
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
512
remove
9474
remove
nil
cons
cons
nil
cons
nil
cons
cons
623
remove
subst
60
ref
nil
149
ref
9473
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
2381
remove
9472
remove
nil
cons
cons
nil
cons
nil
cons
cons
2386
remove
subst
2347
ref
nil
149
ref
9471
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
5978
remove
9470
remove
nil
cons
cons
nil
cons
nil
cons
cons
5977
remove
96
remove
cons
370
ref
subst
subst
7372
ref
nil
149
ref
9469
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
211
remove
9468
remove
nil
cons
cons
nil
cons
nil
cons
cons
371
remove
subst
32
remove
nil
149
ref
9467
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9462
remove
nil
cons
9477
def
cons
119
ref
9466
remove
nil
cons
9478
def
cons
nil
cons
cons
nil
cons
cons
9479
def
136
ref
subst
9479
remove
195
ref
subst
nil
589
remove
164
ref
9461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9480
def
178
ref
subst
9480
remove
436
ref
subst
nil
6478
remove
164
ref
9460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9481
def
178
ref
subst
9481
remove
436
ref
subst
nil
6481
remove
164
ref
9459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9482
def
178
ref
subst
9482
remove
436
ref
subst
nil
8006
remove
164
ref
9458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9483
def
178
ref
subst
9483
remove
436
ref
subst
nil
3683
remove
164
ref
9457
ref
nil
cons
9484
def
cons
nil
cons
cons
nil
cons
cons
9485
def
178
ref
subst
9485
remove
436
ref
subst
6778
remove
nil
6781
remove
119
ref
2486
remove
9465
ref
appTerm
2473
remove
9456
ref
appTerm
9486
def
appTerm
9487
def
nil
cons
9488
def
cons
nil
cons
9489
def
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
235
ref
598
remove
4267
remove
9018
remove
6735
remove
appThm
429
ref
trans
appThm
429
ref
trans
appThm
429
ref
trans
appThm
6472
remove
refl
236
ref
13
ref
236
ref
14
ref
6491
remove
9120
ref
eqMp
absThm
appThm
297
ref
trans
absThm
appThm
297
remove
trans
appThm
nil
149
ref
6484
remove
cons
nil
cons
nil
cons
cons
9490
def
846
remove
subst
trans
appThm
9490
remove
305
remove
subst
trans
appThm
9487
ref
refl
appThm
sym
nil
6485
ref
9489
remove
cons
nil
cons
cons
9491
def
136
ref
subst
9491
remove
195
ref
subst
nil
2347
remove
9486
ref
nil
cons
cons
2545
remove
9465
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7365
remove
subst
sym
nil
2391
remove
2941
ref
120
ref
2947
ref
9465
ref
appTerm
appTerm
2947
remove
9486
ref
appTerm
appTerm
9492
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2395
remove
subst
2941
remove
nil
149
ref
9492
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
166
ref
166
ref
4243
remove
4289
remove
4290
remove
3951
remove
2400
ref
9463
remove
refl
2400
remove
9464
remove
absTerm
9493
def
3596
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
9493
ref
2942
ref
appTerm
betaConv
appThm
nil
7372
remove
9493
remove
nil
cons
cons
2963
ref
cons
nil
cons
cons
2394
remove
2670
ref
subst
subst
eqMp
appThm
nil
60
remove
9456
ref
nil
cons
cons
nil
cons
nil
cons
cons
9494
def
3768
remove
subst
1198
ref
13
ref
3755
ref
refl
166
ref
4998
remove
4293
remove
2430
remove
1198
remove
13
ref
2434
remove
refl
13
ref
9455
ref
absTerm
9495
def
23
ref
appTerm
betaConv
9496
def
appThm
absThm
appThm
absThm
appThm
9497
def
appThm
appThm
9496
remove
appThm
nil
197
remove
9495
ref
nil
cons
cons
9498
def
nil
cons
nil
cons
cons
2670
ref
subst
eqMp
9499
def
appThm
absThm
appThm
trans
appThm
sym
nil
117
ref
43
ref
2948
remove
appTerm
7374
ref
appTerm
9500
def
nil
cons
9501
def
cons
119
ref
451
remove
13
ref
3755
remove
9455
ref
appTerm
9502
def
absTerm
9503
def
appTerm
9504
def
nil
cons
9505
def
cons
nil
cons
9506
def
cons
nil
cons
cons
9507
def
495
remove
subst
9507
ref
136
ref
subst
9507
remove
195
ref
subst
nil
7977
remove
164
ref
7374
ref
nil
cons
9508
def
cons
nil
cons
cons
nil
cons
cons
9509
def
178
ref
subst
9509
remove
436
ref
subst
6470
remove
2942
remove
appTerm
9510
def
betaConv
nil
6485
remove
119
ref
9510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
2393
remove
6551
remove
2963
remove
cons
nil
cons
cons
208
remove
subst
eqMp
eqMp
nil
117
ref
6732
remove
cons
9506
ref
cons
nil
cons
cons
187
ref
subst
proveHyp
235
ref
nil
6824
remove
6755
remove
cons
nil
cons
cons
187
ref
subst
appThm
9504
ref
refl
appThm
sym
nil
188
ref
13
ref
7
ref
6765
ref
appTerm
9504
ref
appTerm
9511
def
absTerm
9512
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
9511
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
6765
ref
nil
cons
9513
def
cons
9506
ref
cons
nil
cons
cons
9514
def
136
ref
subst
9514
remove
195
ref
subst
6766
remove
6765
remove
assume
eqMp
nil
117
ref
6466
remove
nil
cons
9515
def
cons
9506
remove
cons
nil
cons
cons
9516
def
187
ref
subst
proveHyp
9516
ref
136
ref
subst
9516
remove
195
ref
subst
nil
792
ref
164
ref
6465
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
9517
def
178
ref
subst
9517
remove
436
ref
subst
9503
ref
23
remove
appTerm
9518
def
betaConv
9519
def
sym
306
ref
8286
remove
6465
remove
assume
9520
def
appThm
8084
remove
trans
appThm
741
ref
7373
ref
refl
9521
def
9520
remove
appThm
nil
149
ref
9508
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
7374
remove
assume
eqMp
trans
appThm
429
ref
trans
appThm
429
ref
trans
sym
155
ref
eqMp
eqMp
264
ref
188
ref
9503
remove
nil
cons
cons
9522
def
580
remove
cons
nil
cons
cons
1192
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9515
remove
cons
164
ref
9505
remove
cons
nil
cons
9523
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
9513
remove
cons
9523
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
9512
remove
appTerm
nil
cons
cons
119
ref
7
ref
6468
remove
appTerm
9504
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
ref
subst
proveHyp
264
ref
6769
remove
9523
ref
cons
nil
cons
cons
947
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
162
ref
9501
ref
cons
9523
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
nil
117
ref
7
ref
9500
ref
appTerm
9504
ref
appTerm
nil
cons
cons
119
ref
7
ref
9504
remove
appTerm
9500
ref
appTerm
nil
cons
cons
nil
cons
9524
def
cons
nil
cons
cons
195
ref
subst
proveHyp
nil
188
ref
13
ref
7
ref
9518
ref
appTerm
9500
remove
appTerm
9525
def
absTerm
9526
def
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
9525
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
117
ref
9518
ref
nil
cons
9527
def
cons
119
ref
9501
ref
cons
nil
cons
9528
def
cons
nil
cons
cons
9529
def
136
ref
subst
9529
remove
195
ref
subst
9519
remove
9518
remove
assume
eqMp
nil
117
ref
9502
remove
nil
cons
9530
def
cons
9528
remove
cons
nil
cons
cons
9531
def
187
ref
subst
proveHyp
9531
ref
136
ref
subst
9531
remove
195
ref
subst
nil
6761
remove
164
ref
9455
ref
nil
cons
9532
def
cons
nil
cons
cons
nil
cons
cons
9533
def
178
ref
subst
9533
remove
436
ref
subst
nil
792
remove
164
ref
7375
ref
nil
cons
9534
def
cons
nil
cons
cons
nil
cons
cons
9535
def
178
ref
subst
9536
def
9535
remove
436
ref
subst
306
ref
8717
remove
appThm
9521
remove
6767
remove
appThm
nil
149
ref
9534
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
7375
remove
assume
eqMp
trans
appThm
nil
149
ref
8722
remove
cons
nil
cons
nil
cons
cons
2422
ref
subst
trans
sym
nil
8016
remove
8723
ref
cons
nil
cons
cons
187
ref
subst
8020
remove
8725
remove
appThm
sym
nil
8026
remove
8723
remove
cons
nil
cons
cons
9537
def
136
ref
subst
9537
remove
195
ref
subst
9036
remove
eqMp
nil
8197
remove
8728
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9530
remove
cons
164
ref
9501
remove
cons
nil
cons
9538
def
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
162
ref
9527
remove
cons
9538
ref
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
117
ref
12
ref
9526
remove
appTerm
nil
cons
cons
9524
remove
cons
nil
cons
cons
187
ref
subst
proveHyp
264
remove
9522
remove
9538
remove
cons
nil
cons
cons
947
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
6729
remove
164
ref
9488
remove
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
eqMp
120
remove
8734
ref
9465
remove
appTerm
9539
def
appTerm
refl
8734
remove
9486
ref
appTerm
betaConv
appThm
166
ref
9539
remove
betaConv
appThm
2727
remove
9486
remove
appTerm
36
remove
appTerm
9540
def
refl
appThm
trans
8735
remove
9487
remove
assume
appThm
eqMp
sym
306
ref
236
ref
13
ref
236
remove
14
ref
235
remove
306
ref
9499
remove
appThm
306
remove
166
remove
3643
ref
refl
9497
remove
appThm
appThm
9495
remove
25
remove
appTerm
betaConv
appThm
nil
9498
remove
266
remove
cons
nil
cons
cons
2670
remove
subst
eqMp
appThm
3646
ref
refl
appThm
appThm
appThm
6849
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
149
ref
9484
remove
cons
nil
cons
nil
cons
cons
156
ref
subst
9457
ref
assume
eqMp
appThm
nil
149
ref
12
ref
13
ref
12
ref
14
ref
7
ref
43
ref
9455
remove
appTerm
43
ref
3645
remove
7373
remove
249
remove
appTerm
9541
def
appTerm
9542
def
appTerm
3646
ref
appTerm
9543
def
appTerm
9544
def
appTerm
26
ref
appTerm
9545
def
absTerm
9546
def
appTerm
9547
def
absTerm
9548
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2422
remove
subst
trans
sym
nil
188
ref
9548
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
ref
subst
13
ref
nil
149
ref
9547
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
ref
subst
nil
188
remove
9546
remove
nil
cons
cons
nil
cons
nil
cons
cons
370
remove
subst
14
ref
nil
149
remove
9545
remove
nil
cons
cons
nil
cons
nil
cons
cons
156
remove
subst
nil
117
ref
9544
remove
nil
cons
9549
def
cons
6428
remove
cons
nil
cons
cons
9550
def
136
remove
subst
9550
remove
195
remove
subst
nil
162
ref
9532
remove
cons
164
ref
9543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9551
def
178
ref
subst
9551
remove
436
ref
subst
9536
remove
nil
162
ref
9542
remove
nil
cons
cons
6501
remove
cons
nil
cons
cons
9552
def
178
ref
subst
9552
remove
436
remove
subst
nil
3825
remove
164
ref
9541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
178
ref
subst
741
remove
6852
remove
7832
remove
appThm
429
ref
trans
appThm
429
remove
trans
sym
155
remove
eqMp
6493
remove
187
ref
subst
proveHyp
9120
remove
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
ref
9549
remove
cons
6727
remove
cons
nil
cons
cons
178
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
117
remove
43
ref
12
ref
13
remove
12
remove
14
remove
7
remove
43
ref
79
remove
9456
ref
appTerm
appTerm
43
remove
3643
remove
9456
remove
appTerm
appTerm
3646
remove
appTerm
appTerm
appTerm
26
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
9457
remove
appTerm
nil
cons
cons
119
remove
9540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
187
remove
subst
proveHyp
9494
remove
3849
remove
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
162
remove
9477
remove
cons
164
remove
9478
remove
cons
nil
cons
cons
nil
cons
cons
178
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
257
remove
9476
remove
appTerm
thm