6
version
nil
"P"
"->"
typeOp
0
def
"Number.Natural.natural"
typeOp
nil
opType
1
def
"bool"
typeOp
nil
opType
2
def
nil
cons
3
def
cons
opType
4
def
var
5
def
"a"
1
ref
var
6
def
"="
const
7
def
0
ref
1
ref
4
ref
nil
cons
8
def
cons
opType
9
def
constTerm
10
def
"Number.Natural.gcd"
const
0
ref
1
ref
0
ref
1
ref
1
ref
nil
cons
11
def
cons
12
def
opType
13
def
nil
cons
14
def
cons
opType
15
def
constTerm
16
def
"Number.Natural.zero"
const
1
ref
constTerm
17
def
appTerm
18
def
6
ref
varTerm
19
def
appTerm
appTerm
19
ref
appTerm
20
def
absTerm
21
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
11
ref
cons
22
def
nil
cons
23
def
nil
nil
cons
24
def
cons
25
def
7
ref
0
ref
2
ref
0
ref
2
ref
3
ref
cons
opType
26
def
nil
cons
cons
opType
27
def
constTerm
28
def
"Data.Bool.!"
const
29
def
0
ref
0
ref
"A"
varType
30
def
3
ref
cons
opType
31
def
3
ref
cons
opType
32
def
constTerm
33
def
"P"
31
ref
var
34
def
varTerm
35
def
appTerm
36
def
appTerm
refl
"p"
31
ref
var
37
def
7
ref
0
ref
31
ref
32
ref
nil
cons
cons
opType
constTerm
37
ref
varTerm
38
def
appTerm
"x"
30
ref
var
39
def
"Data.Bool.T"
const
2
ref
constTerm
40
def
absTerm
41
def
appTerm
absTerm
42
def
35
ref
appTerm
betaConv
43
def
appThm
nil
7
ref
0
ref
32
ref
0
ref
32
ref
3
ref
cons
opType
44
def
nil
cons
cons
opType
constTerm
45
def
33
ref
appTerm
42
remove
appTerm
axiom
35
ref
refl
46
def
appThm
47
def
eqMp
sym
48
def
subst
49
def
subst
6
ref
nil
"t"
2
ref
var
50
def
20
remove
nil
cons
51
def
cons
nil
cons
nil
cons
cons
28
ref
50
ref
varTerm
52
def
appTerm
53
def
40
ref
appTerm
54
def
assume
sym
nil
40
ref
axiom
55
def
eqMp
52
ref
assume
55
ref
deductAntisym
deductAntisym
56
def
subst
"Data.Bool./\\"
const
27
ref
constTerm
57
def
refl
58
def
nil
50
ref
"Number.Natural.divides"
const
9
ref
constTerm
59
def
19
ref
appTerm
60
def
17
ref
appTerm
61
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
61
ref
absTerm
62
def
19
ref
appTerm
63
def
betaConv
nil
29
ref
0
ref
4
ref
3
ref
cons
opType
64
def
constTerm
65
def
62
ref
appTerm
66
def
axiom
nil
"p"
2
ref
var
67
def
66
remove
nil
cons
cons
"q"
2
ref
var
68
def
63
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
28
ref
"Data.Bool.==>"
const
27
ref
constTerm
69
def
67
ref
varTerm
70
def
appTerm
71
def
68
ref
varTerm
72
def
appTerm
73
def
appTerm
74
def
refl
67
ref
68
ref
28
ref
57
ref
70
ref
appTerm
75
def
72
ref
appTerm
76
def
appTerm
77
def
70
ref
appTerm
absTerm
78
def
absTerm
79
def
70
ref
appTerm
betaConv
72
ref
refl
80
def
appThm
78
remove
72
ref
appTerm
betaConv
trans
appThm
nil
7
ref
0
ref
27
ref
0
ref
27
ref
3
ref
cons
opType
81
def
nil
cons
cons
opType
constTerm
82
def
69
ref
appTerm
79
remove
appTerm
axiom
70
ref
refl
83
def
appThm
80
ref
appThm
eqMp
84
def
sym
85
def
77
remove
refl
68
ref
7
ref
0
ref
81
ref
0
ref
81
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
86
def
"f"
27
ref
var
87
def
87
ref
varTerm
88
def
70
ref
appTerm
72
ref
appTerm
absTerm
89
def
appTerm
87
ref
88
ref
40
ref
appTerm
40
ref
appTerm
absTerm
90
def
appTerm
absTerm
91
def
72
ref
appTerm
betaConv
appThm
7
ref
0
ref
26
ref
0
ref
26
ref
3
ref
cons
opType
92
def
nil
cons
cons
opType
constTerm
93
def
75
ref
appTerm
refl
67
ref
91
remove
absTerm
94
def
70
ref
appTerm
betaConv
appThm
nil
82
ref
57
ref
appTerm
94
ref
appTerm
axiom
95
def
83
remove
appThm
eqMp
80
ref
appThm
eqMp
96
def
sym
87
ref
88
ref
refl
nil
50
ref
70
ref
nil
cons
97
def
cons
nil
cons
nil
cons
cons
98
def
56
ref
subst
70
ref
assume
99
def
eqMp
appThm
nil
50
ref
72
ref
nil
cons
100
def
cons
nil
cons
nil
cons
cons
101
def
56
ref
subst
72
ref
assume
102
def
eqMp
appThm
absThm
eqMp
103
def
nil
"P"
2
ref
var
104
def
97
ref
cons
105
def
"Q"
2
ref
var
106
def
100
ref
cons
nil
cons
107
def
cons
nil
cons
cons
28
ref
refl
108
def
87
ref
88
remove
104
ref
varTerm
109
def
appTerm
110
def
106
ref
varTerm
111
def
appTerm
absTerm
112
def
67
ref
68
ref
70
ref
absTerm
absTerm
113
def
appTerm
betaConv
113
ref
109
ref
appTerm
betaConv
111
ref
refl
114
def
appThm
68
ref
109
ref
absTerm
111
ref
appTerm
betaConv
trans
trans
appThm
90
ref
113
ref
appTerm
betaConv
113
ref
40
ref
appTerm
betaConv
40
ref
refl
115
def
appThm
68
ref
40
ref
absTerm
40
ref
appTerm
betaConv
trans
trans
appThm
28
ref
57
ref
109
ref
appTerm
116
def
111
ref
appTerm
117
def
appTerm
refl
68
ref
86
remove
87
remove
110
remove
72
ref
appTerm
absTerm
appTerm
90
ref
appTerm
absTerm
111
ref
appTerm
betaConv
appThm
93
ref
116
remove
appTerm
refl
94
remove
109
ref
appTerm
betaConv
appThm
95
remove
109
ref
refl
118
def
appThm
eqMp
114
ref
appThm
eqMp
117
remove
assume
eqMp
119
def
113
remove
refl
appThm
eqMp
sym
55
ref
eqMp
120
def
subst
121
def
deductAntisym
eqMp
84
remove
73
ref
assume
122
def
eqMp
sym
99
remove
eqMp
108
ref
89
remove
67
ref
68
ref
72
ref
absTerm
123
def
absTerm
124
def
appTerm
betaConv
124
ref
70
ref
appTerm
betaConv
80
ref
appThm
123
ref
72
ref
appTerm
betaConv
trans
trans
appThm
90
remove
124
ref
appTerm
betaConv
124
ref
40
ref
appTerm
betaConv
115
remove
appThm
123
ref
40
ref
appTerm
betaConv
trans
trans
125
def
appThm
96
remove
76
ref
assume
eqMp
124
ref
refl
126
def
appThm
eqMp
sym
55
ref
eqMp
127
def
proveHyp
128
def
deductAntisym
129
def
subst
proveHyp
23
ref
5
ref
62
remove
nil
cons
cons
"x"
1
ref
var
130
def
19
ref
nil
cons
131
def
cons
nil
cons
132
def
cons
nil
cons
cons
nil
67
ref
36
ref
nil
cons
133
def
cons
68
ref
35
ref
39
ref
varTerm
134
def
appTerm
135
def
nil
cons
136
def
cons
nil
cons
cons
nil
cons
cons
137
def
85
ref
subst
137
remove
127
remove
103
remove
deductAntisym
138
def
subst
28
ref
135
ref
appTerm
refl
41
remove
134
ref
appTerm
betaConv
appThm
43
remove
47
remove
36
remove
assume
eqMp
eqMp
134
ref
refl
139
def
appThm
eqMp
sym
55
ref
eqMp
eqMp
nil
104
ref
133
remove
cons
106
ref
136
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
140
def
subst
eqMp
eqMp
eqMp
141
def
appThm
142
def
58
ref
nil
50
ref
60
ref
19
ref
appTerm
143
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
143
ref
absTerm
144
def
19
ref
appTerm
145
def
betaConv
nil
65
ref
144
ref
appTerm
146
def
axiom
nil
67
ref
146
remove
nil
cons
cons
68
ref
145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
144
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
147
def
appThm
148
def
65
ref
refl
149
def
"c"
1
ref
var
150
def
69
ref
refl
151
def
58
ref
nil
6
ref
150
ref
varTerm
152
def
nil
cons
153
def
cons
nil
cons
154
def
nil
cons
cons
155
def
141
ref
subst
156
def
appThm
59
ref
152
ref
appTerm
157
def
19
ref
appTerm
158
def
refl
159
def
appThm
nil
50
ref
158
ref
nil
cons
160
def
cons
nil
cons
nil
cons
cons
161
def
50
ref
28
ref
57
ref
40
ref
appTerm
162
def
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
163
def
52
ref
appTerm
164
def
betaConv
nil
29
ref
92
remove
constTerm
165
def
163
ref
appTerm
166
def
axiom
nil
67
ref
166
remove
nil
cons
cons
68
ref
164
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
3
ref
cons
nil
cons
167
def
"P"
26
ref
var
168
def
163
remove
nil
cons
cons
"x"
2
ref
var
169
def
52
ref
nil
cons
170
def
cons
nil
cons
171
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
172
def
subst
trans
appThm
159
ref
appThm
161
ref
nil
50
ref
69
ref
52
ref
appTerm
173
def
52
ref
appTerm
174
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
50
ref
174
remove
absTerm
175
def
52
ref
appTerm
176
def
betaConv
nil
165
ref
175
ref
appTerm
177
def
axiom
nil
67
ref
177
remove
nil
cons
cons
68
ref
176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
175
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
178
def
subst
179
def
trans
absThm
appThm
nil
50
ref
40
ref
nil
cons
180
def
cons
nil
cons
nil
cons
cons
181
def
25
ref
50
ref
28
ref
33
ref
39
ref
52
ref
absTerm
appTerm
appTerm
52
ref
appTerm
absTerm
182
def
52
ref
appTerm
183
def
betaConv
nil
165
ref
182
ref
appTerm
184
def
axiom
nil
67
ref
184
remove
nil
cons
cons
68
ref
183
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
182
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
185
def
trans
appThm
181
ref
172
ref
subst
186
def
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
61
remove
appTerm
187
def
57
ref
143
remove
appTerm
188
def
65
ref
150
ref
69
ref
57
ref
157
ref
17
ref
appTerm
189
def
appTerm
158
ref
appTerm
appTerm
158
ref
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
68
ref
51
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"g"
1
ref
var
190
def
131
ref
cons
191
def
"b"
1
ref
var
192
def
131
ref
cons
193
def
6
ref
17
ref
nil
cons
194
def
cons
nil
cons
195
def
cons
cons
nil
cons
cons
nil
67
ref
57
ref
59
ref
190
ref
varTerm
196
def
appTerm
197
def
19
ref
appTerm
198
def
appTerm
199
def
57
ref
197
ref
192
ref
varTerm
200
def
appTerm
201
def
appTerm
202
def
65
ref
150
ref
69
ref
57
ref
158
ref
appTerm
203
def
157
ref
200
ref
appTerm
204
def
appTerm
205
def
appTerm
206
def
157
ref
196
ref
appTerm
207
def
appTerm
208
def
absTerm
209
def
appTerm
210
def
appTerm
211
def
appTerm
212
def
nil
cons
213
def
cons
68
ref
10
ref
16
ref
19
ref
appTerm
214
def
200
ref
appTerm
215
def
appTerm
216
def
196
ref
appTerm
217
def
nil
cons
218
def
cons
nil
cons
219
def
cons
nil
cons
cons
220
def
85
ref
subst
220
ref
138
ref
subst
nil
104
ref
198
ref
nil
cons
221
def
cons
222
def
106
ref
211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
223
def
120
ref
subst
223
remove
108
ref
112
remove
124
ref
appTerm
betaConv
124
remove
109
ref
appTerm
betaConv
114
ref
appThm
123
remove
111
ref
appTerm
betaConv
trans
trans
appThm
125
remove
appThm
119
remove
126
remove
appThm
eqMp
sym
55
ref
eqMp
224
def
subst
nil
104
ref
201
ref
nil
cons
225
def
cons
106
ref
210
ref
nil
cons
226
def
cons
nil
cons
cons
nil
cons
cons
227
def
120
ref
subst
227
remove
224
ref
subst
58
ref
nil
50
ref
59
ref
215
ref
appTerm
228
def
19
ref
appTerm
229
def
nil
cons
230
def
cons
nil
cons
nil
cons
cons
56
ref
subst
192
ref
229
ref
absTerm
231
def
200
ref
appTerm
232
def
betaConv
6
ref
65
ref
231
ref
appTerm
233
def
absTerm
234
def
19
ref
appTerm
235
def
betaConv
nil
65
ref
234
ref
appTerm
236
def
axiom
nil
67
ref
236
remove
nil
cons
cons
68
ref
235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
234
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
233
remove
nil
cons
cons
68
ref
232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
231
remove
nil
cons
cons
130
ref
200
ref
nil
cons
237
def
cons
nil
cons
238
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
239
def
eqMp
240
def
appThm
241
def
nil
50
ref
228
ref
200
ref
appTerm
242
def
nil
cons
243
def
cons
nil
cons
nil
cons
cons
56
ref
subst
192
ref
242
ref
absTerm
244
def
200
ref
appTerm
245
def
betaConv
6
ref
65
ref
244
ref
appTerm
246
def
absTerm
247
def
19
ref
appTerm
248
def
betaConv
nil
65
ref
247
ref
appTerm
249
def
axiom
nil
67
ref
249
remove
nil
cons
cons
68
ref
248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
247
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
246
remove
nil
cons
cons
68
ref
245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
244
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
250
def
eqMp
251
def
appThm
186
ref
trans
sym
55
ref
eqMp
252
def
nil
67
ref
57
ref
229
ref
appTerm
253
def
242
ref
appTerm
nil
cons
cons
254
def
68
ref
228
ref
196
ref
appTerm
255
def
nil
cons
256
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
215
ref
nil
cons
257
def
cons
nil
cons
258
def
nil
cons
cons
209
ref
152
ref
appTerm
259
def
betaConv
nil
67
ref
226
ref
cons
68
ref
259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
209
remove
nil
cons
cons
260
def
130
ref
153
ref
cons
nil
cons
261
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
nil
67
ref
256
ref
cons
68
ref
197
ref
215
ref
appTerm
262
def
nil
cons
cons
nil
cons
263
def
cons
nil
cons
cons
138
ref
subst
proveHyp
58
ref
nil
50
ref
221
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
198
ref
assume
eqMp
264
def
appThm
265
def
nil
50
ref
225
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
201
ref
assume
eqMp
266
def
appThm
186
ref
trans
267
def
sym
55
ref
eqMp
nil
67
ref
199
remove
201
ref
appTerm
268
def
nil
cons
269
def
cons
263
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
196
ref
nil
cons
270
def
cons
271
def
nil
cons
nil
cons
cons
150
ref
206
ref
157
ref
215
ref
appTerm
272
def
appTerm
273
def
absTerm
274
def
152
ref
appTerm
275
def
betaConv
192
ref
65
ref
274
ref
appTerm
276
def
absTerm
277
def
200
ref
appTerm
278
def
betaConv
6
ref
65
ref
277
ref
appTerm
279
def
absTerm
280
def
19
ref
appTerm
281
def
betaConv
nil
65
ref
280
ref
appTerm
282
def
axiom
nil
67
ref
282
remove
nil
cons
cons
68
ref
281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
280
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
279
remove
nil
cons
cons
68
ref
278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
277
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
276
remove
nil
cons
cons
68
ref
275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
274
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
283
def
subst
eqMp
eqMp
nil
67
ref
57
ref
255
ref
appTerm
262
remove
appTerm
nil
cons
cons
219
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
270
ref
cons
6
ref
257
ref
cons
284
def
nil
cons
285
def
cons
nil
cons
cons
192
ref
69
ref
57
ref
60
ref
200
ref
appTerm
286
def
appTerm
287
def
59
ref
200
ref
appTerm
288
def
19
ref
appTerm
289
def
appTerm
appTerm
10
ref
19
ref
appTerm
290
def
200
ref
appTerm
291
def
appTerm
absTerm
292
def
200
ref
appTerm
293
def
betaConv
6
ref
65
ref
292
ref
appTerm
294
def
absTerm
295
def
19
ref
appTerm
296
def
betaConv
nil
65
ref
295
ref
appTerm
297
def
axiom
nil
67
ref
297
remove
nil
cons
cons
68
ref
296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
295
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
294
remove
nil
cons
cons
68
ref
293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
292
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
298
def
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
213
remove
cons
106
ref
218
remove
cons
nil
cons
299
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
300
def
subst
eqMp
301
def
eqMp
absThm
eqMp
nil
65
ref
21
remove
appTerm
thm
nil
5
ref
6
ref
10
ref
214
ref
17
ref
appTerm
302
def
appTerm
303
def
19
ref
appTerm
304
def
absTerm
305
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
304
remove
nil
cons
306
def
cons
nil
cons
nil
cons
cons
56
ref
subst
148
ref
142
remove
149
ref
150
ref
151
ref
203
ref
refl
156
remove
appThm
161
ref
50
ref
28
ref
57
ref
52
ref
appTerm
307
def
40
ref
appTerm
appTerm
52
ref
appTerm
absTerm
308
def
52
ref
appTerm
309
def
betaConv
nil
165
ref
308
ref
appTerm
310
def
axiom
nil
67
ref
310
remove
nil
cons
cons
68
ref
309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
308
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
311
def
subst
trans
appThm
159
ref
appThm
179
ref
trans
absThm
appThm
185
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
188
ref
187
remove
65
ref
150
ref
69
ref
203
ref
189
remove
appTerm
appTerm
158
ref
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
68
ref
306
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
191
ref
192
ref
194
ref
cons
312
def
nil
cons
313
def
cons
nil
cons
cons
300
ref
subst
eqMp
314
def
eqMp
absThm
eqMp
nil
65
ref
305
remove
appTerm
thm
nil
5
ref
6
ref
10
ref
214
ref
19
ref
appTerm
appTerm
19
ref
appTerm
315
def
absTerm
316
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
315
remove
nil
cons
317
def
cons
nil
cons
nil
cons
cons
56
ref
subst
148
ref
148
ref
149
ref
150
ref
151
ref
161
ref
50
ref
28
ref
307
ref
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
318
def
52
ref
appTerm
319
def
betaConv
nil
165
ref
318
ref
appTerm
320
def
axiom
nil
67
ref
320
remove
nil
cons
cons
68
ref
319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
318
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
321
def
subst
appThm
159
ref
appThm
179
remove
trans
absThm
appThm
185
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
188
ref
188
ref
65
ref
150
ref
69
ref
203
ref
158
ref
appTerm
appTerm
158
ref
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
68
ref
317
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
191
ref
193
ref
nil
cons
322
def
cons
nil
cons
cons
300
ref
subst
eqMp
eqMp
absThm
eqMp
nil
65
ref
316
remove
appTerm
thm
nil
5
ref
192
ref
10
ref
"Data.Pair.fst"
const
323
def
0
ref
"Data.Pair.*"
typeOp
324
def
1
ref
324
ref
12
remove
opType
325
def
nil
cons
326
def
cons
327
def
opType
328
def
11
ref
cons
opType
329
def
constTerm
330
def
"Number.Natural.egcd"
const
0
ref
1
ref
0
ref
1
ref
328
ref
nil
cons
331
def
cons
opType
332
def
nil
cons
cons
opType
333
def
constTerm
334
def
17
ref
appTerm
335
def
200
ref
appTerm
appTerm
appTerm
200
ref
appTerm
336
def
absTerm
337
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
336
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
10
ref
refl
338
def
330
ref
refl
339
def
nil
195
ref
nil
cons
cons
340
def
192
ref
7
ref
0
ref
328
ref
0
ref
328
ref
3
ref
cons
opType
341
def
nil
cons
342
def
cons
opType
constTerm
343
def
334
ref
19
ref
appTerm
344
def
200
ref
appTerm
345
def
appTerm
346
def
"Data.Bool.cond"
const
347
def
0
ref
2
ref
0
ref
328
ref
0
ref
328
ref
331
ref
cons
opType
348
def
nil
cons
349
def
cons
opType
nil
cons
cons
opType
constTerm
350
def
10
ref
200
ref
appTerm
351
def
17
ref
appTerm
352
def
appTerm
353
def
"Data.Pair.,"
const
354
def
0
ref
1
ref
0
ref
325
ref
331
ref
cons
opType
nil
cons
cons
opType
constTerm
355
def
19
ref
appTerm
356
def
354
ref
0
ref
1
ref
0
ref
327
remove
opType
nil
cons
cons
opType
constTerm
357
def
"Number.Natural.bit1"
const
13
ref
constTerm
358
def
17
ref
appTerm
359
def
appTerm
360
def
17
ref
appTerm
361
def
appTerm
362
def
appTerm
150
ref
350
ref
10
ref
152
ref
appTerm
363
def
17
ref
appTerm
364
def
appTerm
365
def
355
ref
200
ref
appTerm
366
def
360
ref
"Number.Natural.-"
const
15
ref
constTerm
367
def
"Number.Natural.div"
const
15
ref
constTerm
368
def
19
ref
appTerm
369
def
200
ref
appTerm
370
def
appTerm
359
ref
appTerm
371
def
appTerm
372
def
appTerm
373
def
appTerm
"select"
const
374
def
0
ref
0
ref
348
ref
3
ref
cons
opType
375
def
349
ref
cons
opType
constTerm
376
def
"f"
348
ref
var
377
def
65
ref
190
ref
65
ref
"s"
1
ref
var
378
def
65
ref
"t"
1
ref
var
379
def
343
ref
377
ref
varTerm
355
ref
196
ref
appTerm
380
def
357
ref
378
ref
varTerm
381
def
appTerm
382
def
379
ref
varTerm
383
def
appTerm
384
def
appTerm
385
def
appTerm
appTerm
386
def
"u"
1
ref
var
387
def
380
ref
357
ref
387
ref
varTerm
388
def
appTerm
389
def
"Number.Natural.+"
const
15
ref
constTerm
390
def
383
ref
appTerm
391
def
"Number.Natural.*"
const
15
ref
constTerm
392
def
370
ref
appTerm
393
def
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
394
def
390
ref
381
ref
appTerm
395
def
392
ref
368
ref
200
ref
appTerm
396
def
152
ref
appTerm
397
def
appTerm
398
def
383
ref
appTerm
appTerm
399
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
334
ref
152
ref
appTerm
400
def
"Number.Natural.mod"
const
15
ref
constTerm
401
def
200
ref
appTerm
402
def
152
ref
appTerm
403
def
appTerm
404
def
appTerm
appTerm
absTerm
405
def
401
ref
19
ref
appTerm
406
def
200
ref
appTerm
407
def
appTerm
408
def
appTerm
409
def
appTerm
absTerm
410
def
200
ref
appTerm
411
def
betaConv
6
ref
65
ref
410
ref
appTerm
412
def
absTerm
413
def
19
ref
appTerm
414
def
betaConv
nil
65
ref
413
ref
appTerm
415
def
axiom
nil
67
ref
415
remove
nil
cons
cons
68
ref
414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
413
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
412
remove
nil
cons
cons
68
ref
411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
410
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
416
def
subst
appThm
appThm
200
ref
refl
417
def
appThm
sym
nil
67
ref
"Data.Bool.~"
const
26
remove
constTerm
418
def
352
ref
appTerm
419
def
nil
cons
420
def
cons
421
def
68
ref
10
ref
330
ref
353
ref
355
ref
17
ref
appTerm
422
def
361
ref
appTerm
423
def
appTerm
150
ref
365
ref
366
ref
360
ref
367
ref
368
ref
17
ref
appTerm
424
def
200
ref
appTerm
425
def
appTerm
359
ref
appTerm
appTerm
426
def
appTerm
427
def
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
425
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
428
def
399
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
404
ref
appTerm
appTerm
absTerm
429
def
401
ref
17
ref
appTerm
430
def
200
ref
appTerm
431
def
appTerm
432
def
appTerm
appTerm
appTerm
200
ref
appTerm
nil
cons
433
def
cons
nil
cons
434
def
cons
nil
cons
cons
435
def
85
ref
subst
435
remove
138
ref
subst
"n"
1
ref
var
436
def
69
ref
418
ref
10
ref
436
ref
varTerm
437
def
appTerm
438
def
17
ref
appTerm
439
def
appTerm
440
def
appTerm
441
def
10
ref
430
ref
437
ref
appTerm
appTerm
17
ref
appTerm
appTerm
absTerm
442
def
200
ref
appTerm
443
def
betaConv
nil
65
ref
442
ref
appTerm
444
def
axiom
nil
67
ref
444
remove
nil
cons
cons
68
ref
443
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
442
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
419
ref
appTerm
445
def
10
ref
431
ref
appTerm
17
ref
appTerm
446
def
appTerm
nil
cons
cons
434
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
418
ref
refl
447
def
nil
421
ref
68
ref
28
ref
352
ref
appTerm
"Data.Bool.F"
const
2
ref
constTerm
448
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
104
ref
352
ref
nil
cons
449
def
cons
450
def
nil
cons
nil
cons
cons
nil
67
ref
418
ref
109
ref
appTerm
451
def
nil
cons
452
def
cons
68
ref
28
ref
109
ref
appTerm
448
ref
appTerm
nil
cons
453
def
cons
nil
cons
cons
nil
cons
cons
454
def
85
ref
subst
454
remove
138
ref
subst
nil
67
ref
109
ref
nil
cons
455
def
cons
68
ref
448
ref
nil
cons
456
def
cons
nil
cons
457
def
cons
nil
cons
cons
151
ref
28
ref
70
ref
appTerm
458
def
72
ref
appTerm
459
def
assume
460
def
appThm
80
remove
appThm
sym
nil
67
ref
100
ref
cons
461
def
68
ref
100
ref
cons
nil
cons
462
def
cons
nil
cons
cons
463
def
85
ref
subst
463
remove
138
ref
subst
102
remove
eqMp
nil
104
ref
100
ref
cons
107
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
464
def
eqMp
465
def
nil
67
ref
73
ref
nil
cons
466
def
cons
467
def
68
ref
69
ref
72
ref
appTerm
468
def
70
ref
appTerm
nil
cons
469
def
cons
nil
cons
470
def
cons
nil
cons
cons
138
ref
subst
proveHyp
468
ref
refl
460
remove
appThm
sym
464
remove
eqMp
471
def
eqMp
nil
461
ref
68
ref
97
ref
cons
nil
cons
472
def
cons
nil
cons
cons
129
ref
subst
nil
104
ref
466
ref
cons
473
def
106
ref
469
remove
cons
nil
cons
474
def
cons
nil
cons
cons
475
def
224
ref
subst
eqMp
129
ref
475
remove
120
ref
subst
eqMp
deductAntisym
deductAntisym
476
def
subst
28
ref
451
ref
appTerm
refl
67
ref
71
ref
448
ref
appTerm
absTerm
477
def
109
ref
appTerm
betaConv
appThm
nil
93
ref
418
ref
appTerm
477
remove
appTerm
axiom
118
ref
appThm
eqMp
478
def
451
remove
assume
eqMp
nil
67
ref
69
ref
109
ref
appTerm
479
def
448
ref
appTerm
nil
cons
cons
68
ref
69
ref
448
ref
appTerm
480
def
109
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
456
ref
cons
68
ref
455
ref
cons
nil
cons
cons
nil
cons
cons
481
def
85
ref
subst
481
remove
138
ref
subst
67
ref
70
ref
absTerm
482
def
109
ref
appTerm
483
def
betaConv
nil
28
ref
448
ref
appTerm
484
def
165
ref
482
ref
appTerm
485
def
appTerm
axiom
448
ref
assume
eqMp
nil
67
ref
485
remove
nil
cons
cons
68
ref
483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
482
remove
nil
cons
cons
169
ref
455
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
486
def
eqMp
nil
104
ref
456
ref
cons
106
ref
455
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
452
remove
cons
106
ref
453
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
487
def
subst
eqMp
488
def
appThm
nil
28
ref
418
ref
448
ref
appTerm
489
def
appTerm
40
ref
appTerm
axiom
490
def
trans
491
def
appThm
492
def
446
ref
refl
appThm
nil
50
ref
446
ref
nil
cons
493
def
cons
nil
cons
nil
cons
cons
50
ref
28
ref
69
ref
40
ref
appTerm
494
def
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
495
def
52
ref
appTerm
496
def
betaConv
nil
165
ref
495
ref
appTerm
497
def
axiom
nil
67
ref
497
remove
nil
cons
cons
68
ref
496
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
495
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
498
def
subst
trans
appThm
338
ref
339
ref
350
ref
refl
499
def
488
ref
appThm
500
def
423
ref
refl
appThm
432
ref
refl
appThm
nil
"t2"
328
ref
var
501
def
432
ref
nil
cons
cons
"t1"
328
ref
var
502
def
423
ref
nil
cons
503
def
cons
nil
cons
cons
nil
cons
cons
"A"
331
ref
cons
nil
cons
504
def
24
ref
cons
505
def
"t2"
30
ref
var
506
def
7
ref
0
ref
30
ref
31
ref
nil
cons
507
def
cons
opType
508
def
constTerm
509
def
347
ref
0
ref
2
ref
0
ref
30
ref
0
ref
30
ref
30
ref
nil
cons
510
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
511
def
448
ref
appTerm
"t1"
30
ref
var
512
def
varTerm
513
def
appTerm
506
ref
varTerm
514
def
appTerm
appTerm
514
ref
appTerm
absTerm
515
def
514
ref
appTerm
516
def
betaConv
512
ref
33
ref
515
ref
appTerm
517
def
absTerm
518
def
513
ref
appTerm
519
def
betaConv
nil
33
ref
518
ref
appTerm
520
def
axiom
nil
67
ref
520
remove
nil
cons
cons
68
ref
519
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
510
ref
cons
521
def
nil
cons
522
def
34
ref
518
remove
nil
cons
cons
39
ref
513
ref
nil
cons
cons
nil
cons
523
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
517
remove
nil
cons
cons
68
ref
516
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
515
remove
nil
cons
cons
39
ref
514
ref
nil
cons
cons
nil
cons
524
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
525
def
subst
526
def
subst
trans
appThm
appThm
417
ref
appThm
appThm
sym
nil
67
ref
493
ref
cons
68
ref
10
ref
330
ref
432
remove
appTerm
appTerm
200
ref
appTerm
nil
cons
527
def
cons
nil
cons
cons
nil
cons
cons
528
def
85
ref
subst
528
remove
138
ref
subst
28
ref
"_29610"
1
ref
var
529
def
10
ref
330
ref
429
ref
529
remove
varTerm
appTerm
appTerm
appTerm
200
ref
appTerm
absTerm
530
def
431
remove
appTerm
531
def
appTerm
refl
530
ref
17
ref
appTerm
betaConv
appThm
108
ref
531
remove
betaConv
appThm
10
ref
330
ref
429
remove
17
ref
appTerm
532
def
appTerm
appTerm
200
ref
appTerm
refl
appThm
trans
530
remove
refl
446
remove
assume
appThm
eqMp
sym
339
ref
532
remove
betaConv
nil
"z"
328
ref
var
533
def
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
428
remove
395
ref
392
ref
396
ref
17
ref
appTerm
appTerm
383
ref
appTerm
appTerm
534
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
335
ref
402
ref
17
ref
appTerm
appTerm
535
def
appTerm
nil
cons
cons
"y"
328
ref
var
536
def
427
remove
nil
cons
cons
130
ref
194
ref
cons
nil
cons
537
def
cons
cons
nil
cons
cons
22
ref
"B"
331
remove
cons
nil
cons
cons
24
ref
cons
538
def
347
ref
0
ref
2
ref
0
ref
"B"
varType
539
def
0
ref
539
ref
539
ref
nil
cons
540
def
cons
opType
nil
cons
541
def
cons
opType
nil
cons
cons
opType
constTerm
refl
nil
50
ref
509
ref
134
ref
appTerm
542
def
134
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
139
ref
eqMp
543
def
appThm
"y"
539
ref
var
544
def
varTerm
545
def
refl
appThm
"z"
539
ref
var
varTerm
546
def
refl
appThm
nil
"t2"
539
ref
var
546
remove
nil
cons
cons
"t1"
539
ref
var
545
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
540
ref
cons
nil
cons
547
def
24
ref
cons
506
remove
509
ref
511
ref
40
ref
appTerm
513
ref
appTerm
514
ref
appTerm
appTerm
513
ref
appTerm
absTerm
548
def
514
remove
appTerm
549
def
betaConv
512
remove
33
ref
548
ref
appTerm
550
def
absTerm
551
def
513
remove
appTerm
552
def
betaConv
nil
33
ref
551
ref
appTerm
553
def
axiom
nil
67
ref
553
remove
nil
cons
cons
68
ref
552
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
551
remove
nil
cons
cons
523
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
550
remove
nil
cons
cons
68
ref
549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
548
remove
nil
cons
cons
524
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
554
def
subst
subst
trans
subst
555
def
subst
trans
appThm
nil
"b"
325
ref
var
556
def
426
remove
nil
cons
cons
6
ref
237
ref
cons
557
def
nil
cons
558
def
cons
nil
cons
cons
"B"
326
ref
cons
559
def
23
ref
cons
24
ref
cons
"b"
539
ref
var
560
def
509
ref
323
remove
0
ref
324
remove
30
ref
540
ref
cons
561
def
opType
562
def
510
ref
cons
opType
563
def
constTerm
354
remove
0
ref
30
ref
0
ref
539
ref
562
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
564
def
"a"
30
ref
var
565
def
varTerm
566
def
appTerm
560
ref
varTerm
567
def
appTerm
568
def
appTerm
appTerm
566
ref
appTerm
absTerm
569
def
567
ref
appTerm
570
def
betaConv
565
ref
29
ref
0
ref
0
ref
539
ref
3
ref
cons
opType
571
def
3
ref
cons
opType
572
def
constTerm
573
def
569
ref
appTerm
574
def
absTerm
575
def
566
ref
appTerm
576
def
betaConv
nil
33
ref
575
ref
appTerm
577
def
axiom
nil
67
ref
577
remove
nil
cons
cons
68
ref
576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
575
remove
nil
cons
cons
39
ref
566
ref
nil
cons
cons
nil
cons
578
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
574
remove
nil
cons
cons
68
ref
570
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
ref
"P"
571
ref
var
579
def
569
remove
nil
cons
cons
"x"
539
ref
var
580
def
567
ref
nil
cons
cons
nil
cons
581
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
582
def
subst
trans
eqMp
eqMp
nil
104
ref
493
remove
cons
106
ref
527
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
420
ref
cons
583
def
106
ref
433
ref
cons
nil
cons
584
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
449
ref
cons
585
def
434
remove
cons
nil
cons
cons
586
def
85
ref
subst
586
remove
138
ref
subst
28
ref
"_29608"
1
ref
var
587
def
10
ref
330
ref
350
ref
10
ref
587
remove
varTerm
588
def
appTerm
17
ref
appTerm
appTerm
423
ref
appTerm
150
ref
365
ref
355
ref
588
ref
appTerm
360
ref
367
ref
424
ref
588
ref
appTerm
589
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
589
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
395
ref
392
ref
368
ref
588
ref
appTerm
152
ref
appTerm
appTerm
383
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
400
ref
401
ref
588
ref
appTerm
152
ref
appTerm
appTerm
appTerm
appTerm
absTerm
430
ref
588
ref
appTerm
appTerm
appTerm
appTerm
appTerm
588
remove
appTerm
absTerm
590
def
200
ref
appTerm
591
def
appTerm
refl
590
ref
17
ref
appTerm
betaConv
appThm
108
ref
591
remove
betaConv
appThm
10
ref
330
ref
350
ref
10
ref
17
ref
appTerm
592
def
17
ref
appTerm
appTerm
423
remove
appTerm
150
ref
365
ref
422
ref
360
ref
367
ref
424
ref
17
ref
appTerm
593
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
593
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
395
ref
392
ref
424
remove
152
ref
appTerm
appTerm
383
ref
appTerm
appTerm
594
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
400
ref
430
ref
152
ref
appTerm
appTerm
595
def
appTerm
appTerm
absTerm
430
remove
17
ref
appTerm
appTerm
596
def
appTerm
appTerm
appTerm
17
ref
appTerm
refl
appThm
trans
590
remove
refl
352
ref
assume
597
def
appThm
eqMp
sym
339
ref
nil
533
ref
596
remove
nil
cons
cons
536
ref
503
remove
cons
537
ref
cons
cons
nil
cons
cons
555
ref
subst
appThm
nil
556
ref
361
ref
nil
cons
598
def
cons
599
def
195
remove
cons
nil
cons
cons
582
ref
subst
trans
eqMp
eqMp
nil
450
ref
584
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
50
ref
"Data.Bool.\\/"
const
27
ref
constTerm
600
def
52
ref
appTerm
601
def
418
ref
52
ref
appTerm
602
def
appTerm
absTerm
603
def
352
ref
appTerm
604
def
betaConv
nil
165
ref
603
ref
appTerm
605
def
axiom
606
def
nil
67
ref
605
remove
nil
cons
cons
607
def
68
ref
604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
603
ref
nil
cons
cons
608
def
169
ref
449
ref
cons
nil
cons
609
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
610
def
nil
450
ref
106
ref
420
remove
cons
611
def
"R"
2
ref
var
612
def
433
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
67
ref
69
ref
111
ref
appTerm
613
def
612
ref
varTerm
614
def
appTerm
615
def
nil
cons
cons
68
ref
614
ref
nil
cons
616
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
67
ref
479
ref
614
ref
appTerm
nil
cons
cons
68
ref
69
ref
615
remove
appTerm
614
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
"r"
2
ref
var
617
def
69
ref
479
ref
617
ref
varTerm
618
def
appTerm
appTerm
619
def
69
ref
613
ref
618
ref
appTerm
appTerm
618
ref
appTerm
appTerm
absTerm
620
def
614
remove
appTerm
621
def
betaConv
28
ref
600
ref
109
ref
appTerm
622
def
111
ref
appTerm
623
def
appTerm
refl
68
ref
165
ref
617
ref
619
remove
69
ref
468
ref
618
ref
appTerm
624
def
appTerm
618
ref
appTerm
625
def
appTerm
absTerm
appTerm
absTerm
111
ref
appTerm
betaConv
appThm
93
remove
622
remove
appTerm
refl
67
ref
68
ref
165
ref
617
ref
69
ref
71
ref
618
ref
appTerm
appTerm
625
remove
appTerm
absTerm
appTerm
absTerm
absTerm
626
def
109
remove
appTerm
betaConv
appThm
nil
82
remove
600
ref
appTerm
626
remove
appTerm
axiom
118
remove
appThm
eqMp
114
remove
appThm
eqMp
627
def
623
remove
assume
eqMp
nil
67
ref
165
ref
620
ref
appTerm
nil
cons
cons
68
ref
621
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
620
remove
nil
cons
cons
169
ref
616
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
628
def
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
nil
65
ref
337
remove
appTerm
thm
149
ref
6
ref
338
ref
nil
192
ref
359
ref
nil
cons
629
def
cons
nil
cons
nil
cons
cons
630
def
58
ref
nil
193
ref
558
ref
cons
631
def
nil
cons
cons
632
def
251
ref
subst
appThm
58
ref
632
ref
240
ref
subst
appThm
65
ref
150
ref
206
ref
157
ref
16
ref
200
ref
appTerm
633
def
19
ref
appTerm
634
def
appTerm
635
def
appTerm
636
def
absTerm
637
def
appTerm
638
def
refl
appThm
nil
50
ref
638
ref
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
639
def
trans
appThm
639
remove
trans
sym
nil
5
ref
637
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
636
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
205
ref
nil
cons
640
def
cons
641
def
68
ref
635
remove
nil
cons
642
def
cons
nil
cons
643
def
cons
nil
cons
cons
644
def
85
ref
subst
644
remove
138
ref
subst
nil
104
ref
160
ref
cons
645
def
106
ref
204
ref
nil
cons
646
def
cons
nil
cons
cons
nil
cons
cons
647
def
120
ref
subst
648
def
647
remove
224
ref
subst
649
def
58
ref
nil
50
ref
646
ref
cons
nil
cons
nil
cons
cons
650
def
56
ref
subst
204
ref
assume
eqMp
651
def
appThm
161
remove
56
ref
subst
158
ref
assume
652
def
eqMp
653
def
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
204
ref
appTerm
654
def
158
ref
appTerm
nil
cons
cons
643
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
632
ref
283
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
640
ref
cons
655
def
106
ref
642
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
57
ref
59
ref
634
ref
appTerm
656
def
19
ref
appTerm
appTerm
57
ref
656
remove
200
ref
appTerm
appTerm
638
remove
appTerm
appTerm
nil
cons
cons
68
ref
216
ref
634
ref
appTerm
657
def
nil
cons
658
def
cons
nil
cons
659
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
190
ref
634
ref
nil
cons
660
def
cons
nil
cons
nil
cons
cons
300
ref
subst
eqMp
661
def
subst
appThm
359
ref
refl
662
def
appThm
absThm
appThm
sym
nil
5
ref
6
ref
10
ref
16
ref
359
ref
appTerm
19
ref
appTerm
appTerm
359
ref
appTerm
663
def
absTerm
664
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
663
remove
nil
cons
665
def
cons
nil
cons
nil
cons
cons
56
ref
subst
58
ref
nil
6
ref
629
ref
cons
nil
cons
666
def
nil
cons
cons
667
def
nil
50
ref
59
ref
359
ref
appTerm
668
def
19
ref
appTerm
669
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6
ref
669
ref
absTerm
670
def
19
ref
appTerm
671
def
betaConv
nil
65
ref
670
ref
appTerm
672
def
axiom
nil
67
ref
672
remove
nil
cons
cons
68
ref
671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
670
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
673
def
subst
appThm
58
ref
673
ref
appThm
674
def
149
ref
150
ref
151
ref
58
ref
155
ref
6
ref
28
ref
60
ref
359
ref
appTerm
675
def
appTerm
290
ref
359
ref
appTerm
676
def
appTerm
677
def
absTerm
678
def
19
ref
appTerm
679
def
betaConv
nil
65
ref
678
ref
appTerm
680
def
axiom
681
def
nil
67
ref
680
remove
nil
cons
cons
68
ref
679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
678
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
682
def
appThm
159
remove
appThm
appThm
682
ref
appThm
absThm
appThm
appThm
nil
50
ref
65
ref
150
ref
69
ref
57
ref
363
ref
359
ref
appTerm
683
def
appTerm
158
ref
appTerm
684
def
appTerm
683
ref
appTerm
685
def
absTerm
686
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
687
def
trans
appThm
687
remove
trans
sym
nil
5
ref
686
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
685
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
684
remove
nil
cons
688
def
cons
68
ref
683
ref
nil
cons
689
def
cons
nil
cons
690
def
cons
nil
cons
cons
691
def
85
ref
subst
691
remove
138
ref
subst
nil
104
ref
689
ref
cons
106
ref
160
ref
cons
nil
cons
692
def
cons
nil
cons
cons
120
ref
subst
eqMp
nil
104
ref
688
remove
cons
106
ref
689
remove
cons
nil
cons
693
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
57
ref
668
ref
359
ref
appTerm
appTerm
57
ref
669
remove
appTerm
694
def
65
ref
150
ref
69
ref
57
ref
157
ref
359
ref
appTerm
695
def
appTerm
158
ref
appTerm
appTerm
695
ref
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
68
ref
665
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
190
ref
629
ref
cons
696
def
193
ref
666
ref
cons
cons
nil
cons
cons
300
ref
subst
eqMp
eqMp
absThm
eqMp
697
def
eqMp
nil
65
ref
6
ref
10
ref
214
ref
359
ref
appTerm
appTerm
359
ref
appTerm
absTerm
appTerm
thm
697
remove
nil
65
ref
664
remove
appTerm
thm
149
ref
6
ref
149
ref
192
ref
59
ref
refl
698
def
192
ref
10
ref
330
ref
345
ref
appTerm
699
def
appTerm
215
ref
appTerm
700
def
absTerm
701
def
200
ref
appTerm
702
def
betaConv
703
def
6
ref
65
ref
701
ref
appTerm
704
def
absTerm
705
def
19
ref
appTerm
706
def
betaConv
149
ref
6
ref
338
ref
339
ref
343
ref
refl
707
def
nil
313
remove
nil
cons
cons
416
ref
subst
appThm
362
ref
refl
708
def
appThm
sym
nil
533
remove
150
ref
365
ref
422
remove
360
ref
367
ref
369
ref
17
ref
appTerm
709
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
709
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
594
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
595
remove
appTerm
appTerm
absTerm
406
ref
17
ref
appTerm
appTerm
nil
cons
cons
536
remove
362
ref
nil
cons
710
def
cons
537
ref
cons
cons
nil
cons
cons
555
remove
subst
eqMp
711
def
appThm
nil
599
ref
nil
cons
712
def
nil
cons
cons
582
ref
subst
trans
appThm
314
remove
appThm
nil
132
ref
nil
cons
cons
25
ref
543
ref
subst
713
def
subst
714
def
trans
absThm
appThm
185
ref
trans
sym
55
ref
eqMp
nil
67
ref
65
ref
6
ref
10
ref
330
ref
344
ref
17
ref
appTerm
715
def
appTerm
appTerm
302
remove
appTerm
absTerm
appTerm
716
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
69
ref
57
ref
419
remove
appTerm
717
def
289
ref
appTerm
718
def
appTerm
719
def
700
ref
appTerm
720
def
absTerm
721
def
appTerm
722
def
absTerm
723
def
appTerm
724
def
appTerm
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
717
ref
57
ref
363
ref
407
ref
appTerm
725
def
appTerm
726
def
57
ref
418
ref
364
ref
appTerm
727
def
appTerm
728
def
10
ref
330
ref
404
ref
appTerm
appTerm
16
ref
152
ref
appTerm
729
def
403
ref
appTerm
730
def
appTerm
731
def
appTerm
732
def
appTerm
733
def
appTerm
734
def
appTerm
700
ref
appTerm
735
def
absTerm
736
def
appTerm
737
def
absTerm
738
def
appTerm
739
def
absTerm
740
def
appTerm
741
def
appTerm
742
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
723
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
722
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
721
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
720
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
718
remove
nil
cons
743
def
cons
744
def
68
ref
700
remove
nil
cons
745
def
cons
nil
cons
746
def
cons
nil
cons
cons
747
def
85
ref
subst
747
remove
138
ref
subst
nil
583
ref
106
ref
289
ref
nil
cons
748
def
cons
nil
cons
cons
nil
cons
cons
749
def
120
ref
subst
750
def
749
remove
224
ref
subst
751
def
338
ref
339
ref
416
ref
appThm
appThm
215
ref
refl
752
def
appThm
sym
753
def
338
ref
339
ref
500
remove
708
ref
appThm
754
def
408
ref
betaConv
755
def
350
remove
10
ref
407
ref
appTerm
756
def
17
ref
appTerm
757
def
appTerm
373
ref
appTerm
758
def
refl
376
ref
refl
759
def
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
386
ref
refl
760
def
394
remove
395
ref
392
ref
396
ref
407
ref
appTerm
appTerm
383
ref
appTerm
appTerm
761
def
appTerm
betaConv
762
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
334
ref
407
ref
appTerm
402
ref
407
ref
appTerm
763
def
appTerm
764
def
refl
appThm
appThm
trans
appThm
nil
501
ref
758
remove
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
380
ref
357
ref
761
ref
appTerm
391
ref
393
ref
761
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
764
remove
appTerm
765
def
appTerm
766
def
nil
cons
cons
502
ref
710
remove
cons
nil
cons
767
def
cons
nil
cons
cons
526
ref
subst
trans
appThm
appThm
752
ref
appThm
sym
108
ref
"_29646"
328
ref
var
768
def
10
ref
330
ref
768
remove
varTerm
appTerm
appTerm
215
ref
appTerm
absTerm
769
def
766
remove
appTerm
betaConv
appThm
58
ref
69
ref
757
ref
appTerm
770
def
refl
769
ref
373
ref
appTerm
betaConv
appThm
appThm
69
ref
418
ref
757
ref
appTerm
771
def
appTerm
772
def
refl
769
ref
765
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
328
ref
var
773
def
765
ref
nil
cons
cons
"_482"
328
ref
var
774
def
373
ref
nil
cons
775
def
cons
"_483"
2
ref
var
776
def
757
ref
nil
cons
777
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
341
ref
var
778
def
769
remove
nil
cons
cons
nil
cons
nil
cons
cons
505
ref
nil
39
ref
"_482"
30
ref
var
varTerm
nil
cons
cons
"c"
2
ref
var
779
def
776
ref
varTerm
nil
cons
cons
37
ref
"_484"
31
ref
var
varTerm
nil
cons
cons
"y"
30
ref
var
780
def
"_485"
30
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
780
ref
28
ref
38
ref
511
remove
779
ref
varTerm
781
def
appTerm
134
ref
appTerm
780
ref
varTerm
782
def
appTerm
appTerm
appTerm
57
ref
69
ref
781
ref
appTerm
38
ref
134
ref
appTerm
783
def
appTerm
appTerm
69
ref
418
ref
781
ref
appTerm
appTerm
38
ref
782
ref
appTerm
784
def
appTerm
appTerm
appTerm
absTerm
785
def
782
ref
appTerm
786
def
betaConv
39
ref
33
ref
785
ref
appTerm
787
def
absTerm
788
def
134
ref
appTerm
789
def
betaConv
779
remove
33
ref
788
ref
appTerm
790
def
absTerm
791
def
781
ref
appTerm
792
def
betaConv
37
ref
165
ref
791
ref
appTerm
793
def
absTerm
794
def
38
ref
appTerm
795
def
betaConv
nil
29
ref
44
remove
constTerm
796
def
794
ref
appTerm
797
def
axiom
nil
67
ref
797
remove
nil
cons
cons
68
ref
795
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
507
remove
cons
nil
cons
798
def
"P"
32
ref
var
799
def
794
remove
nil
cons
cons
"x"
31
ref
var
38
ref
nil
cons
800
def
cons
nil
cons
801
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
793
remove
nil
cons
cons
68
ref
792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
791
remove
nil
cons
cons
169
ref
781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
790
remove
nil
cons
cons
68
ref
789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
788
remove
nil
cons
cons
39
ref
134
ref
nil
cons
cons
nil
cons
802
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
787
remove
nil
cons
cons
68
ref
786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
785
remove
nil
cons
cons
39
ref
782
ref
nil
cons
cons
nil
cons
803
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
804
def
subst
805
def
subst
subst
eqMp
sym
nil
67
ref
777
ref
cons
806
def
68
ref
10
ref
330
ref
373
ref
appTerm
807
def
appTerm
215
ref
appTerm
808
def
nil
cons
809
def
cons
nil
cons
810
def
cons
nil
cons
cons
811
def
85
ref
subst
811
remove
138
ref
subst
216
ref
refl
nil
556
ref
372
remove
nil
cons
cons
558
ref
cons
812
def
nil
cons
cons
582
ref
subst
appThm
nil
557
ref
322
ref
cons
nil
cons
cons
192
ref
28
ref
10
ref
634
ref
appTerm
813
def
19
ref
appTerm
appTerm
286
ref
appTerm
absTerm
814
def
200
ref
appTerm
815
def
betaConv
6
ref
65
ref
814
ref
appTerm
816
def
absTerm
817
def
19
ref
appTerm
818
def
betaConv
149
ref
6
ref
149
ref
192
ref
108
ref
338
ref
632
ref
661
ref
subst
819
def
appThm
820
def
19
ref
refl
821
def
appThm
appThm
286
ref
refl
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
65
ref
192
ref
28
ref
216
ref
19
ref
appTerm
822
def
appTerm
286
ref
appTerm
823
def
absTerm
824
def
appTerm
825
def
absTerm
826
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
825
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
824
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
823
ref
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
822
ref
nil
cons
827
def
cons
68
ref
286
ref
nil
cons
828
def
cons
nil
cons
cons
nil
cons
cons
829
def
476
ref
subst
829
ref
85
ref
subst
829
remove
138
ref
subst
28
ref
"_29506"
1
ref
var
830
def
59
ref
830
remove
varTerm
appTerm
200
ref
appTerm
absTerm
831
def
19
ref
appTerm
832
def
appTerm
refl
831
ref
215
ref
appTerm
betaConv
appThm
108
ref
832
remove
betaConv
appThm
242
ref
refl
appThm
trans
831
remove
refl
822
ref
assume
sym
appThm
eqMp
sym
250
ref
eqMp
eqMp
nil
104
ref
827
ref
cons
106
ref
828
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
822
ref
appTerm
286
ref
appTerm
nil
cons
cons
68
ref
69
ref
286
ref
appTerm
822
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
828
ref
cons
68
ref
827
ref
cons
nil
cons
833
def
cons
nil
cons
cons
834
def
85
ref
subst
834
remove
138
ref
subst
148
remove
58
ref
nil
50
ref
828
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
286
ref
assume
eqMp
appThm
65
ref
150
ref
206
ref
158
ref
appTerm
835
def
absTerm
836
def
appTerm
837
def
refl
appThm
nil
50
ref
837
ref
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
838
def
trans
appThm
838
remove
trans
sym
nil
5
ref
836
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
835
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
641
ref
68
ref
160
ref
cons
nil
cons
839
def
cons
nil
cons
cons
840
def
85
ref
subst
840
remove
138
ref
subst
648
ref
eqMp
nil
655
ref
692
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
188
remove
287
ref
837
remove
appTerm
appTerm
nil
cons
cons
833
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
191
remove
nil
cons
nil
cons
cons
300
ref
subst
eqMp
eqMp
nil
104
ref
828
remove
cons
106
ref
827
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
841
def
eqMp
842
def
nil
67
ref
65
ref
817
ref
appTerm
843
def
nil
cons
cons
68
ref
818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
817
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
816
remove
nil
cons
cons
68
ref
815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
814
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
50
ref
748
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
289
ref
assume
844
def
eqMp
845
def
trans
trans
sym
55
ref
eqMp
nil
67
ref
216
ref
807
ref
appTerm
nil
cons
cons
810
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
257
ref
cons
846
def
"y"
1
ref
var
847
def
807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
25
ref
39
ref
69
ref
542
ref
782
ref
appTerm
848
def
appTerm
509
ref
782
ref
appTerm
849
def
134
ref
appTerm
850
def
appTerm
851
def
absTerm
852
def
134
ref
appTerm
853
def
betaConv
780
ref
33
ref
852
ref
appTerm
854
def
absTerm
855
def
782
ref
appTerm
856
def
betaConv
nil
33
ref
39
ref
33
ref
780
ref
851
ref
absTerm
857
def
appTerm
858
def
absTerm
859
def
appTerm
860
def
axiom
nil
67
ref
860
remove
nil
cons
861
def
cons
862
def
68
ref
33
ref
855
ref
appTerm
nil
cons
863
def
cons
nil
cons
cons
nil
cons
cons
864
def
129
ref
subst
proveHyp
864
ref
85
ref
subst
864
remove
138
ref
subst
nil
34
ref
855
remove
nil
cons
cons
865
def
nil
cons
nil
cons
cons
48
ref
subst
780
ref
nil
50
ref
854
remove
nil
cons
866
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
34
ref
852
remove
nil
cons
cons
867
def
nil
cons
nil
cons
cons
48
ref
subst
39
ref
nil
50
ref
851
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
857
ref
782
ref
appTerm
868
def
betaConv
859
ref
134
ref
appTerm
869
def
betaConv
nil
862
remove
68
ref
869
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
522
ref
34
ref
859
remove
nil
cons
cons
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
858
remove
nil
cons
cons
68
ref
868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
857
remove
nil
cons
cons
803
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
861
remove
cons
106
ref
863
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
863
remove
cons
68
ref
856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
865
remove
803
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
866
remove
cons
68
ref
853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
867
remove
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
870
def
subst
eqMp
eqMp
nil
104
ref
777
ref
cons
871
def
106
ref
809
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
770
ref
808
remove
appTerm
nil
cons
cons
68
ref
772
remove
10
ref
330
ref
765
remove
appTerm
appTerm
215
ref
appTerm
872
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
771
remove
nil
cons
873
def
cons
874
def
68
ref
872
remove
nil
cons
875
def
cons
nil
cons
cons
nil
cons
cons
876
def
85
ref
subst
876
remove
138
ref
subst
"b'"
1
ref
var
877
def
445
ref
28
ref
288
ref
877
ref
varTerm
878
def
appTerm
appTerm
10
ref
401
ref
878
ref
appTerm
200
ref
appTerm
879
def
appTerm
17
ref
appTerm
appTerm
appTerm
absTerm
880
def
19
ref
appTerm
881
def
betaConv
6
ref
65
ref
192
ref
69
ref
418
ref
290
ref
17
ref
appTerm
882
def
appTerm
883
def
appTerm
884
def
28
ref
286
ref
appTerm
885
def
10
ref
402
ref
19
ref
appTerm
886
def
appTerm
17
ref
appTerm
887
def
appTerm
appTerm
absTerm
appTerm
absTerm
888
def
200
ref
appTerm
889
def
betaConv
nil
65
ref
888
ref
appTerm
890
def
axiom
nil
67
ref
890
remove
nil
cons
cons
68
ref
889
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
888
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
880
ref
appTerm
nil
cons
cons
68
ref
881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
880
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
891
def
nil
67
ref
445
ref
28
ref
289
ref
appTerm
757
ref
appTerm
892
def
appTerm
nil
cons
893
def
cons
894
def
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
50
ref
893
remove
cons
nil
cons
nil
cons
cons
50
ref
28
ref
173
ref
448
ref
appTerm
appTerm
602
ref
appTerm
absTerm
895
def
52
ref
appTerm
896
def
betaConv
nil
165
ref
895
ref
appTerm
897
def
axiom
nil
67
ref
897
remove
nil
cons
cons
68
ref
896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
895
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
898
def
subst
447
ref
492
ref
108
ref
845
ref
appThm
nil
874
ref
68
ref
28
ref
757
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
871
ref
nil
cons
nil
cons
cons
487
ref
subst
eqMp
899
def
appThm
nil
50
ref
456
ref
cons
nil
cons
nil
cons
cons
900
def
50
ref
28
ref
28
ref
40
ref
appTerm
901
def
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
902
def
52
ref
appTerm
903
def
betaConv
nil
165
ref
902
ref
appTerm
904
def
axiom
nil
67
ref
904
remove
nil
cons
cons
68
ref
903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
902
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
905
def
subst
trans
appThm
900
ref
498
ref
subst
906
def
trans
appThm
490
ref
trans
trans
sym
55
ref
eqMp
eqMp
nil
104
ref
875
ref
cons
nil
cons
nil
cons
cons
486
ref
subst
proveHyp
eqMp
nil
104
ref
873
ref
cons
907
def
106
ref
875
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
743
remove
cons
908
def
106
ref
745
ref
cons
nil
cons
909
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
724
remove
nil
cons
cons
68
ref
741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
740
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
739
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
738
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
737
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
736
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
735
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
734
remove
nil
cons
910
def
cons
746
remove
cons
nil
cons
cons
911
def
85
ref
subst
911
remove
138
ref
subst
nil
583
ref
106
ref
733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
912
def
120
ref
subst
912
remove
224
ref
subst
nil
104
ref
725
ref
nil
cons
cons
913
def
106
ref
732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
914
def
120
ref
subst
914
remove
224
ref
subst
nil
104
ref
727
ref
nil
cons
915
def
cons
916
def
106
ref
731
ref
nil
cons
917
def
cons
nil
cons
cons
nil
cons
cons
918
def
120
ref
subst
918
remove
224
ref
subst
753
remove
338
ref
339
ref
754
ref
755
ref
499
ref
338
ref
725
remove
assume
919
def
sym
920
def
appThm
17
ref
refl
921
def
appThm
nil
67
ref
915
remove
cons
922
def
68
ref
28
ref
364
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
104
ref
364
ref
nil
cons
923
def
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
924
def
trans
appThm
373
remove
refl
925
def
appThm
759
ref
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
760
ref
762
ref
380
ref
refl
926
def
357
ref
refl
927
def
395
ref
refl
928
def
392
ref
refl
929
def
396
ref
refl
930
def
920
ref
appThm
appThm
383
ref
refl
931
def
appThm
appThm
932
def
appThm
391
ref
refl
933
def
393
ref
refl
934
def
932
remove
appThm
appThm
appThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
334
ref
refl
935
def
920
ref
appThm
402
ref
refl
936
def
920
ref
appThm
appThm
appThm
appThm
nil
501
ref
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
380
ref
357
ref
399
ref
appTerm
391
ref
393
ref
399
ref
appTerm
appTerm
appTerm
937
def
appTerm
938
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
939
def
404
ref
appTerm
940
def
nil
cons
cons
941
def
502
ref
775
remove
cons
nil
cons
942
def
cons
nil
cons
cons
526
ref
subst
trans
trans
appThm
nil
941
remove
767
ref
cons
nil
cons
cons
526
ref
subst
trans
943
def
appThm
appThm
752
ref
appThm
sym
nil
67
ref
917
remove
cons
68
ref
10
ref
330
ref
940
ref
appTerm
appTerm
215
ref
appTerm
944
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
"x"
328
ref
var
945
def
"Data.Bool.?"
const
946
def
64
ref
constTerm
947
def
6
ref
946
ref
0
ref
0
ref
325
ref
3
ref
cons
opType
948
def
3
ref
cons
opType
949
def
constTerm
950
def
556
ref
343
ref
945
ref
varTerm
appTerm
356
ref
556
ref
varTerm
951
def
appTerm
952
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
953
def
404
ref
appTerm
954
def
betaConv
22
ref
559
remove
nil
cons
cons
24
ref
cons
955
def
nil
29
ref
0
ref
0
ref
562
ref
3
ref
cons
opType
956
def
3
ref
cons
opType
957
def
constTerm
958
def
"x"
562
ref
var
959
def
946
ref
32
remove
constTerm
960
def
565
ref
946
ref
572
remove
constTerm
961
def
560
ref
7
ref
0
ref
562
ref
956
ref
nil
cons
962
def
cons
opType
constTerm
963
def
959
ref
varTerm
964
def
appTerm
568
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
subst
965
def
nil
67
ref
29
ref
0
ref
341
ref
3
ref
cons
opType
966
def
constTerm
953
ref
appTerm
nil
cons
cons
967
def
68
ref
954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
504
ref
"P"
341
ref
var
953
ref
nil
cons
cons
968
def
945
ref
404
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
969
def
nil
67
ref
947
ref
6
ref
950
ref
556
ref
343
ref
404
ref
appTerm
970
def
952
ref
appTerm
absTerm
971
def
appTerm
absTerm
appTerm
nil
cons
cons
972
def
68
ref
69
ref
731
remove
appTerm
944
remove
appTerm
973
def
nil
cons
974
def
cons
nil
cons
975
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
947
ref
refl
976
def
6
ref
108
ref
950
ref
refl
977
def
556
ref
971
ref
951
ref
appTerm
betaConv
absThm
appThm
appThm
976
ref
"a'"
1
ref
var
978
def
976
ref
877
ref
971
ref
357
ref
978
ref
varTerm
979
def
appTerm
878
ref
appTerm
980
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
948
ref
var
981
def
971
remove
nil
cons
cons
nil
cons
nil
cons
cons
22
ref
"B"
11
ref
cons
982
def
nil
cons
cons
24
ref
cons
983
def
"p"
956
ref
var
984
def
28
ref
946
ref
957
ref
constTerm
959
remove
984
ref
varTerm
985
def
964
remove
appTerm
absTerm
986
def
appTerm
appTerm
960
ref
565
ref
961
remove
560
ref
985
ref
568
ref
appTerm
absTerm
987
def
appTerm
absTerm
appTerm
appTerm
absTerm
988
def
985
ref
appTerm
989
def
betaConv
nil
29
ref
0
ref
957
ref
3
ref
cons
opType
constTerm
990
def
988
ref
appTerm
991
def
axiom
nil
67
ref
991
remove
nil
cons
cons
68
ref
989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
962
remove
cons
nil
cons
992
def
"P"
957
remove
var
993
def
988
remove
nil
cons
cons
"x"
956
remove
var
985
ref
nil
cons
cons
nil
cons
994
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
995
def
subst
eqMp
absThm
appThm
appThm
996
def
973
ref
refl
appThm
sym
nil
5
ref
190
ref
69
ref
6
ref
947
ref
978
ref
947
ref
877
ref
970
ref
356
remove
980
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
997
def
196
ref
appTerm
998
def
appTerm
973
ref
appTerm
999
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
999
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
998
ref
nil
cons
1000
def
cons
975
ref
cons
nil
cons
cons
1001
def
85
ref
subst
1001
remove
138
ref
subst
998
ref
betaConv
998
remove
assume
eqMp
nil
67
ref
947
ref
978
ref
947
ref
877
ref
970
ref
380
ref
980
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1002
def
appTerm
1003
def
nil
cons
cons
975
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
378
ref
69
ref
1002
ref
381
ref
appTerm
1004
def
appTerm
973
ref
appTerm
1005
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
1005
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1004
ref
nil
cons
1006
def
cons
975
ref
cons
nil
cons
cons
1007
def
85
ref
subst
1007
remove
138
ref
subst
1004
ref
betaConv
1004
remove
assume
eqMp
nil
67
ref
947
ref
877
ref
970
ref
380
ref
382
remove
878
ref
appTerm
appTerm
1008
def
appTerm
absTerm
1009
def
appTerm
1010
def
nil
cons
cons
975
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
1009
ref
383
ref
appTerm
1011
def
appTerm
973
ref
appTerm
1012
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
1012
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1011
ref
nil
cons
1013
def
cons
975
ref
cons
nil
cons
cons
1014
def
85
ref
subst
1014
remove
138
ref
subst
1011
ref
betaConv
1011
remove
assume
eqMp
nil
67
ref
970
ref
385
ref
appTerm
1015
def
nil
cons
1016
def
cons
975
remove
cons
nil
cons
cons
1017
def
129
ref
subst
proveHyp
1017
ref
85
ref
subst
1017
remove
138
ref
subst
151
ref
338
ref
339
ref
1015
ref
assume
1018
def
appThm
nil
556
ref
384
ref
nil
cons
1019
def
cons
6
ref
270
ref
cons
1020
def
nil
cons
1021
def
cons
1022
def
nil
cons
cons
1023
def
582
ref
subst
1024
def
trans
appThm
730
ref
refl
appThm
appThm
338
ref
339
ref
939
remove
refl
1025
def
1018
remove
appThm
379
ref
343
ref
376
ref
"_29670"
348
ref
var
1026
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
343
ref
1026
remove
varTerm
385
ref
appTerm
appTerm
938
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1027
def
appTerm
1028
def
385
ref
appTerm
appTerm
938
ref
appTerm
absTerm
1029
def
383
ref
appTerm
1030
def
betaConv
378
ref
65
ref
1029
ref
appTerm
1031
def
absTerm
1032
def
381
ref
appTerm
1033
def
betaConv
190
ref
65
ref
1032
ref
appTerm
1034
def
absTerm
1035
def
196
ref
appTerm
1036
def
betaConv
1027
ref
1028
remove
appTerm
1037
def
betaConv
1027
ref
"_29668"
328
ref
var
1038
def
355
ref
374
ref
0
ref
0
ref
329
ref
3
ref
cons
opType
1039
def
329
ref
nil
cons
1040
def
cons
opType
constTerm
1041
def
"fn"
329
ref
var
1042
def
65
ref
6
ref
29
ref
949
ref
constTerm
1043
def
556
ref
10
ref
1042
remove
varTerm
952
ref
appTerm
appTerm
19
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1044
def
1038
remove
varTerm
1045
def
appTerm
appTerm
357
ref
390
ref
374
ref
0
ref
0
ref
0
ref
325
ref
11
ref
cons
opType
1046
def
3
ref
cons
opType
1046
ref
nil
cons
cons
opType
constTerm
1047
def
"fn"
1046
ref
var
1048
def
65
ref
6
ref
65
ref
192
ref
10
ref
1048
ref
varTerm
357
ref
19
ref
appTerm
1049
def
200
ref
appTerm
1050
def
appTerm
appTerm
1051
def
19
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1052
def
374
ref
0
ref
0
ref
0
ref
328
ref
326
ref
cons
opType
1053
def
3
ref
cons
opType
1053
ref
nil
cons
cons
opType
constTerm
"fn"
1053
remove
var
1054
def
65
ref
6
ref
1043
ref
556
ref
7
ref
0
ref
325
ref
948
ref
nil
cons
1055
def
cons
opType
1056
def
constTerm
1054
remove
varTerm
952
remove
appTerm
appTerm
951
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1057
def
1045
remove
appTerm
1058
def
appTerm
appTerm
398
ref
1047
remove
1048
remove
65
ref
6
ref
65
ref
192
ref
1051
remove
200
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1059
def
1058
remove
appTerm
1060
def
appTerm
appTerm
1061
def
appTerm
390
ref
1060
remove
appTerm
393
ref
1061
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1062
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
343
ref
1062
ref
385
ref
appTerm
1063
def
appTerm
938
remove
appTerm
1064
def
absTerm
1065
def
appTerm
1066
def
absTerm
1067
def
appTerm
1068
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
1068
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1067
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
1066
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1065
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
1064
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1063
remove
betaConv
343
ref
"_29664"
1
ref
var
1069
def
380
ref
357
ref
395
ref
398
ref
1069
ref
varTerm
1070
def
appTerm
1071
def
appTerm
1072
def
appTerm
390
ref
1070
remove
appTerm
1073
def
393
ref
1072
remove
appTerm
appTerm
appTerm
appTerm
absTerm
383
ref
appTerm
1074
def
appTerm
refl
1069
ref
355
ref
1044
ref
385
ref
appTerm
1075
def
appTerm
1076
def
357
ref
390
ref
1052
ref
1057
ref
385
ref
appTerm
1077
def
appTerm
1078
def
appTerm
1079
def
1071
ref
appTerm
1080
def
appTerm
1073
ref
393
ref
1080
remove
appTerm
appTerm
appTerm
appTerm
absTerm
1081
def
1059
ref
1077
ref
appTerm
1082
def
appTerm
betaConv
appThm
707
ref
1074
remove
betaConv
appThm
1076
ref
357
ref
1079
ref
398
ref
1082
ref
appTerm
appTerm
1083
def
appTerm
390
ref
1082
ref
appTerm
1084
def
393
ref
1083
remove
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
7
ref
0
ref
332
ref
0
ref
332
ref
3
ref
cons
opType
nil
cons
cons
opType
constTerm
1085
def
"_29663"
1
ref
var
1086
def
1069
ref
380
ref
357
ref
390
ref
1086
ref
varTerm
appTerm
1071
remove
appTerm
1087
def
appTerm
1073
remove
393
ref
1087
remove
appTerm
appTerm
appTerm
1088
def
appTerm
absTerm
absTerm
381
ref
appTerm
1089
def
appTerm
refl
1086
ref
1069
ref
1076
ref
1088
ref
appTerm
absTerm
absTerm
1090
def
1078
ref
appTerm
betaConv
appThm
1085
ref
refl
1091
def
1089
remove
betaConv
appThm
1081
remove
refl
appThm
trans
7
ref
0
ref
333
ref
0
ref
333
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
1092
def
"_29662"
1
ref
var
1093
def
1086
remove
1069
remove
355
ref
1093
remove
varTerm
appTerm
1088
remove
appTerm
absTerm
absTerm
absTerm
1094
def
196
ref
appTerm
1095
def
appTerm
refl
1094
ref
1075
ref
appTerm
betaConv
appThm
1092
ref
refl
1096
def
1095
remove
betaConv
appThm
1090
remove
refl
appThm
trans
1094
remove
refl
1023
ref
955
ref
560
ref
509
ref
374
ref
0
ref
0
ref
563
ref
3
ref
cons
opType
1097
def
563
ref
nil
cons
1098
def
cons
opType
constTerm
"fn"
563
remove
var
1099
def
33
ref
565
ref
573
ref
560
ref
509
ref
1099
ref
varTerm
568
ref
appTerm
appTerm
1100
def
566
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1101
def
appTerm
1102
def
568
ref
appTerm
appTerm
566
ref
appTerm
absTerm
1103
def
567
ref
appTerm
1104
def
betaConv
565
ref
573
ref
1103
ref
appTerm
1105
def
absTerm
1106
def
566
ref
appTerm
1107
def
betaConv
1101
ref
1102
remove
appTerm
1108
def
betaConv
946
ref
0
ref
1097
ref
3
ref
cons
opType
constTerm
1109
def
refl
1099
remove
33
ref
refl
1110
def
565
ref
573
ref
refl
1111
def
560
ref
1100
remove
refl
565
ref
560
ref
566
ref
absTerm
1112
def
absTerm
1113
def
566
ref
appTerm
betaConv
567
ref
refl
1114
def
appThm
1112
remove
567
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
510
ref
cons
nil
cons
"_1343"
0
ref
30
ref
0
ref
539
ref
510
ref
cons
opType
nil
cons
cons
opType
var
1113
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
0
ref
30
ref
0
ref
539
ref
"C"
varType
1115
def
nil
cons
1116
def
cons
opType
nil
cons
cons
opType
1117
def
var
1118
def
565
ref
560
ref
"_1343"
1117
ref
var
varTerm
566
ref
appTerm
567
ref
appTerm
1119
def
absTerm
1120
def
absTerm
1121
def
nil
cons
cons
nil
cons
nil
cons
cons
1118
ref
946
ref
0
ref
0
ref
0
ref
562
ref
1116
remove
cons
opType
1122
def
3
ref
cons
opType
1123
def
3
ref
cons
opType
1124
def
constTerm
1125
def
"fn"
1122
ref
var
1126
def
33
ref
565
ref
573
ref
560
ref
7
ref
0
ref
1115
ref
0
ref
1115
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
1126
ref
varTerm
1127
def
568
ref
appTerm
appTerm
1128
def
1118
remove
varTerm
1129
def
566
ref
appTerm
567
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1130
def
1129
ref
appTerm
1131
def
betaConv
nil
29
ref
0
ref
0
ref
1117
ref
3
ref
cons
opType
1132
def
3
ref
cons
opType
constTerm
1130
ref
appTerm
1133
def
axiom
nil
67
ref
1133
remove
nil
cons
cons
68
ref
1131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1117
ref
nil
cons
cons
nil
cons
"P"
1132
remove
var
1130
remove
nil
cons
cons
"x"
1117
remove
var
1129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
67
ref
1125
ref
1126
ref
33
ref
565
ref
573
ref
560
ref
1128
ref
1121
remove
566
ref
appTerm
1134
def
567
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1135
def
absTerm
1136
def
appTerm
1137
def
nil
cons
cons
68
ref
1125
remove
1126
ref
33
ref
565
ref
573
ref
560
ref
1128
ref
1119
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1138
def
appTerm
1139
def
nil
cons
1140
def
cons
nil
cons
1141
def
cons
nil
cons
cons
129
ref
subst
nil
"P"
1123
remove
var
1142
def
1126
ref
69
ref
1136
ref
1127
ref
appTerm
1143
def
appTerm
1139
ref
appTerm
1144
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1122
ref
nil
cons
cons
nil
cons
1145
def
24
ref
cons
48
ref
subst
subst
1126
remove
nil
50
ref
1144
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1143
ref
nil
cons
1146
def
cons
1141
ref
cons
nil
cons
cons
1147
def
85
ref
subst
1147
remove
138
ref
subst
1143
ref
betaConv
1143
remove
assume
eqMp
nil
67
ref
1135
ref
nil
cons
1148
def
cons
1141
remove
cons
nil
cons
cons
1149
def
129
ref
subst
proveHyp
1149
ref
85
ref
subst
1149
remove
138
ref
subst
1138
ref
1127
ref
appTerm
betaConv
sym
1110
ref
565
ref
1111
ref
560
ref
1128
remove
refl
1134
remove
betaConv
1114
ref
appThm
1120
remove
567
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
1135
remove
assume
eqMp
eqMp
1145
ref
1142
ref
1138
remove
nil
cons
cons
"x"
1122
remove
var
1150
def
1127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
28
ref
960
ref
35
ref
appTerm
1151
def
appTerm
1152
def
refl
37
ref
165
ref
68
ref
69
ref
33
ref
39
ref
69
ref
783
ref
appTerm
1153
def
72
ref
appTerm
absTerm
appTerm
appTerm
72
ref
appTerm
absTerm
appTerm
absTerm
1154
def
35
ref
appTerm
betaConv
appThm
nil
45
remove
960
ref
appTerm
1154
remove
appTerm
axiom
46
remove
appThm
eqMp
1155
def
sym
nil
168
ref
106
ref
69
ref
33
ref
39
ref
69
ref
135
ref
appTerm
1156
def
111
ref
appTerm
1157
def
absTerm
1158
def
appTerm
1159
def
appTerm
1160
def
111
ref
appTerm
1161
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
167
ref
24
ref
cons
1162
def
48
ref
subst
1163
def
subst
106
ref
nil
50
ref
1161
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1159
ref
nil
cons
1164
def
cons
1165
def
68
ref
111
ref
nil
cons
1166
def
cons
nil
cons
1167
def
cons
nil
cons
cons
1168
def
85
ref
subst
1168
ref
138
ref
subst
nil
67
ref
136
ref
cons
1167
ref
cons
nil
cons
cons
1169
def
129
ref
subst
1170
def
1158
ref
134
ref
appTerm
1171
def
betaConv
nil
1165
ref
68
ref
1171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
522
ref
34
ref
1158
remove
nil
cons
cons
1172
def
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1173
def
eqMp
eqMp
nil
104
ref
1164
ref
cons
1174
def
106
ref
1166
ref
cons
nil
cons
1175
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1176
def
subst
proveHyp
eqMp
nil
104
ref
1148
remove
cons
106
ref
1140
remove
cons
nil
cons
1177
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1146
remove
cons
1177
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
29
ref
1124
remove
constTerm
1150
ref
69
ref
1136
ref
1150
remove
varTerm
appTerm
appTerm
1139
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
1137
remove
appTerm
1139
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1145
remove
1142
remove
1136
remove
nil
cons
cons
1177
remove
cons
nil
cons
cons
nil
1165
ref
68
ref
69
ref
1151
ref
appTerm
1178
def
111
ref
appTerm
nil
cons
1179
def
cons
nil
cons
cons
nil
cons
cons
1180
def
85
ref
subst
1180
remove
138
ref
subst
nil
67
ref
1151
remove
nil
cons
1181
def
cons
1182
def
1167
ref
cons
nil
cons
cons
1183
def
85
ref
subst
1183
remove
138
ref
subst
1168
remove
129
ref
subst
68
ref
69
ref
33
ref
39
ref
1156
remove
72
ref
appTerm
absTerm
appTerm
appTerm
72
ref
appTerm
absTerm
1184
def
111
ref
appTerm
1185
def
betaConv
nil
1182
remove
68
ref
165
ref
1184
ref
appTerm
1186
def
nil
cons
1187
def
cons
nil
cons
cons
nil
cons
cons
1188
def
129
ref
subst
1155
remove
nil
67
ref
1152
remove
1186
ref
appTerm
nil
cons
cons
68
ref
1178
remove
1186
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1188
remove
nil
67
ref
459
remove
nil
cons
1189
def
cons
1190
def
68
ref
466
ref
cons
nil
cons
1191
def
cons
nil
cons
cons
1192
def
85
ref
subst
1192
remove
138
ref
subst
465
remove
eqMp
nil
104
ref
1189
remove
cons
1193
def
106
ref
466
remove
cons
nil
cons
1194
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
1195
def
subst
eqMp
eqMp
nil
67
ref
1187
remove
cons
68
ref
1185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
1184
remove
nil
cons
cons
169
ref
1166
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1181
remove
cons
1175
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1174
ref
106
ref
1179
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
1196
def
subst
eqMp
eqMp
proveHyp
1197
def
subst
eqMp
nil
67
ref
1109
remove
1101
ref
appTerm
nil
cons
cons
68
ref
1108
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1098
remove
cons
nil
cons
"p"
1097
remove
var
1101
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
67
ref
960
ref
38
ref
appTerm
1198
def
nil
cons
1199
def
cons
1200
def
68
ref
28
ref
38
ref
374
ref
0
ref
31
ref
510
remove
cons
opType
constTerm
38
ref
appTerm
appTerm
1201
def
appTerm
1202
def
40
ref
appTerm
1203
def
nil
cons
1204
def
cons
nil
cons
1205
def
cons
nil
cons
cons
1206
def
85
ref
subst
1206
remove
138
ref
subst
960
ref
refl
1207
def
nil
"t"
31
remove
var
1208
def
800
ref
cons
nil
cons
nil
cons
cons
521
remove
"B"
3
ref
cons
nil
cons
cons
24
ref
cons
1209
def
"t"
0
ref
561
remove
opType
1210
def
var
1211
def
7
ref
0
ref
1210
ref
0
ref
1210
ref
3
ref
cons
opType
1212
def
nil
cons
cons
opType
constTerm
1213
def
39
ref
1211
ref
varTerm
1214
def
134
ref
appTerm
absTerm
1215
def
appTerm
1214
ref
appTerm
1216
def
absTerm
1217
def
1214
ref
appTerm
1218
def
betaConv
nil
29
ref
0
ref
1212
ref
3
ref
cons
opType
constTerm
1219
def
1217
ref
appTerm
1220
def
axiom
1221
def
nil
67
ref
1220
remove
nil
cons
cons
68
ref
1218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1210
ref
nil
cons
cons
nil
cons
1222
def
"P"
1212
remove
var
1223
def
1217
remove
nil
cons
cons
"x"
1210
ref
var
1224
def
1214
ref
nil
cons
cons
nil
cons
1225
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
50
ref
1199
ref
cons
nil
cons
nil
cons
cons
1226
def
56
ref
subst
1198
ref
assume
eqMp
trans
sym
55
ref
eqMp
nil
67
ref
960
ref
39
ref
783
ref
absTerm
1227
def
appTerm
1228
def
nil
cons
cons
1205
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
34
ref
800
remove
cons
106
ref
1204
remove
cons
nil
cons
1229
def
cons
nil
cons
cons
nil
1165
remove
68
ref
69
ref
960
ref
39
ref
135
ref
absTerm
1230
def
appTerm
1231
def
appTerm
111
ref
appTerm
1232
def
nil
cons
1233
def
cons
nil
cons
1234
def
cons
nil
cons
cons
1235
def
476
ref
subst
1235
ref
85
ref
subst
1235
remove
138
ref
subst
nil
34
ref
39
ref
69
ref
1230
ref
134
ref
appTerm
1236
def
appTerm
111
remove
appTerm
1237
def
absTerm
1238
def
nil
cons
cons
nil
cons
nil
cons
cons
48
ref
subst
39
ref
nil
50
ref
1237
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1236
ref
nil
cons
1239
def
cons
1167
ref
cons
nil
cons
cons
1240
def
85
ref
subst
1240
remove
138
ref
subst
1236
ref
betaConv
1241
def
1236
remove
assume
eqMp
1170
remove
proveHyp
1173
remove
eqMp
eqMp
nil
104
ref
1239
remove
cons
1175
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
33
ref
1238
remove
appTerm
nil
cons
cons
1234
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1230
remove
nil
cons
cons
1242
def
1175
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
nil
1174
remove
106
ref
1233
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
1160
remove
1232
ref
appTerm
nil
cons
cons
68
ref
69
ref
1232
ref
appTerm
1159
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
1233
ref
cons
68
ref
1164
ref
cons
nil
cons
cons
nil
cons
cons
1243
def
85
ref
subst
1243
remove
138
ref
subst
nil
1172
remove
nil
cons
nil
cons
cons
48
ref
subst
39
ref
nil
50
ref
1157
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1169
ref
85
ref
subst
1169
remove
138
ref
subst
1241
remove
sym
135
ref
assume
eqMp
522
ref
1242
remove
802
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
1231
remove
nil
cons
cons
1167
remove
cons
nil
cons
cons
129
ref
subst
1232
remove
assume
eqMp
proveHyp
eqMp
nil
104
ref
136
remove
cons
1175
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
1233
remove
cons
106
ref
1164
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
34
ref
39
ref
1153
ref
1203
ref
appTerm
1244
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
48
ref
subst
39
ref
nil
50
ref
1244
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
783
ref
nil
cons
1245
def
cons
1246
def
1205
remove
cons
nil
cons
cons
1247
def
85
ref
subst
1247
remove
138
ref
subst
nil
50
ref
1201
ref
nil
cons
1248
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1246
remove
68
ref
1248
remove
cons
1249
def
nil
cons
cons
nil
cons
cons
129
ref
subst
39
ref
1153
remove
1201
ref
appTerm
absTerm
1250
def
134
ref
appTerm
1251
def
betaConv
37
ref
33
ref
1250
ref
appTerm
1252
def
absTerm
1253
def
38
ref
appTerm
1254
def
betaConv
nil
796
ref
1253
ref
appTerm
1255
def
axiom
nil
67
ref
1255
remove
nil
cons
cons
68
ref
1254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
798
ref
799
ref
1253
remove
nil
cons
cons
801
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1252
remove
nil
cons
cons
68
ref
1251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1250
remove
nil
cons
cons
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1245
remove
cons
1229
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1199
ref
cons
1229
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
1198
ref
appTerm
1256
def
1203
remove
appTerm
nil
cons
cons
68
ref
28
ref
1256
ref
1201
remove
appTerm
appTerm
1257
def
1256
ref
40
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"q'"
2
ref
var
1258
def
180
ref
cons
nil
cons
nil
cons
cons
1198
ref
refl
nil
67
ref
28
ref
1198
ref
appTerm
1259
def
1198
remove
appTerm
nil
cons
cons
68
ref
69
ref
1256
ref
1202
remove
1258
ref
varTerm
1260
def
appTerm
1261
def
appTerm
appTerm
1257
ref
1256
remove
1260
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p'"
2
ref
var
1262
def
1199
remove
cons
nil
cons
nil
cons
cons
1258
ref
69
ref
1259
remove
1262
ref
varTerm
1263
def
appTerm
appTerm
69
ref
69
ref
1263
ref
appTerm
1264
def
1261
remove
appTerm
appTerm
1257
remove
1264
ref
1260
ref
appTerm
1265
def
appTerm
appTerm
appTerm
absTerm
1266
def
1260
ref
appTerm
1267
def
betaConv
1262
ref
165
ref
1266
ref
appTerm
1268
def
absTerm
1269
def
1263
ref
appTerm
1270
def
betaConv
nil
1249
remove
1200
remove
nil
cons
cons
nil
cons
cons
nil
168
ref
1262
ref
165
ref
1258
ref
69
ref
458
ref
1263
ref
appTerm
1271
def
appTerm
69
ref
1264
ref
28
ref
72
ref
appTerm
1260
ref
appTerm
1272
def
appTerm
1273
def
appTerm
74
remove
1265
ref
appTerm
1274
def
appTerm
1275
def
appTerm
1276
def
absTerm
1277
def
appTerm
1278
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1163
ref
subst
1262
remove
nil
50
ref
1278
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
168
ref
1277
remove
nil
cons
cons
nil
cons
nil
cons
cons
1163
ref
subst
1258
remove
nil
50
ref
1276
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1271
remove
nil
cons
1279
def
cons
1280
def
68
ref
1275
remove
nil
cons
1281
def
cons
nil
cons
cons
nil
cons
cons
1282
def
85
ref
subst
1282
remove
138
ref
subst
nil
67
ref
1273
ref
nil
cons
1283
def
cons
68
ref
1274
remove
nil
cons
1284
def
cons
nil
cons
cons
nil
cons
cons
1285
def
85
ref
subst
1285
remove
138
ref
subst
nil
467
ref
68
ref
1265
ref
nil
cons
1286
def
cons
nil
cons
cons
nil
cons
cons
1287
def
476
ref
subst
1287
ref
85
ref
subst
1287
remove
138
ref
subst
nil
67
ref
1263
ref
nil
cons
1288
def
cons
1289
def
68
ref
1260
ref
nil
cons
1290
def
cons
nil
cons
1291
def
cons
nil
cons
cons
1292
def
85
ref
subst
1292
ref
138
ref
subst
nil
1280
ref
68
ref
71
ref
1263
remove
appTerm
1293
def
nil
cons
1294
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
67
ref
97
ref
cons
68
ref
1288
ref
cons
nil
cons
cons
nil
cons
cons
1295
def
1195
ref
subst
eqMp
1296
def
nil
67
ref
1294
ref
cons
1297
def
1291
ref
cons
nil
cons
cons
1298
def
129
ref
subst
proveHyp
nil
1280
remove
68
ref
1264
remove
70
ref
appTerm
1299
def
nil
cons
1300
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
1295
ref
nil
1190
remove
470
remove
cons
nil
cons
cons
1301
def
85
ref
subst
1301
remove
138
ref
subst
471
remove
eqMp
nil
1193
remove
474
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
1302
def
subst
eqMp
1303
def
nil
67
ref
1300
ref
cons
1304
def
68
ref
69
ref
1293
ref
appTerm
1305
def
1260
ref
appTerm
nil
cons
1306
def
cons
nil
cons
cons
nil
cons
cons
1307
def
129
ref
subst
proveHyp
1307
ref
85
ref
subst
1307
remove
138
ref
subst
1298
ref
85
ref
subst
1298
remove
138
ref
subst
nil
1289
ref
472
remove
cons
nil
cons
cons
129
ref
subst
1299
remove
assume
eqMp
1308
def
1295
remove
129
ref
subst
1293
remove
assume
eqMp
1309
def
1308
remove
proveHyp
proveHyp
nil
1289
remove
68
ref
1272
remove
nil
cons
1310
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
1273
remove
assume
eqMp
1311
def
nil
67
ref
1310
remove
cons
1312
def
68
ref
468
remove
1260
ref
appTerm
1313
def
nil
cons
1314
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
461
ref
1291
ref
cons
nil
cons
cons
1315
def
1195
remove
subst
eqMp
1316
def
nil
67
ref
1314
ref
cons
1317
def
1291
remove
cons
nil
cons
cons
1318
def
129
ref
subst
proveHyp
1311
remove
nil
1312
remove
68
ref
69
ref
1260
ref
appTerm
72
ref
appTerm
1319
def
nil
cons
1320
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1315
ref
1302
remove
subst
eqMp
1321
def
nil
67
ref
1320
ref
cons
1322
def
68
ref
69
ref
1313
ref
appTerm
1323
def
1260
remove
appTerm
nil
cons
1324
def
cons
nil
cons
cons
nil
cons
cons
1325
def
129
ref
subst
proveHyp
1325
ref
85
ref
subst
1325
remove
138
ref
subst
1318
ref
85
ref
subst
1318
remove
138
ref
subst
128
remove
1315
remove
129
ref
subst
1313
remove
assume
eqMp
proveHyp
eqMp
nil
104
ref
1314
remove
cons
1326
def
106
ref
1290
ref
cons
nil
cons
1327
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1320
remove
cons
1328
def
106
ref
1324
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
104
ref
1294
remove
cons
1329
def
1327
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1300
remove
cons
1330
def
106
ref
1306
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1288
ref
cons
1327
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
473
ref
106
ref
1286
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
73
ref
appTerm
1331
def
1265
ref
appTerm
nil
cons
cons
68
ref
69
ref
1265
ref
appTerm
73
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
1286
ref
cons
1191
remove
cons
nil
cons
cons
1332
def
85
ref
subst
1332
remove
138
ref
subst
85
ref
138
ref
1296
remove
nil
1297
remove
462
ref
cons
nil
cons
cons
1333
def
129
ref
subst
proveHyp
1303
remove
nil
1304
remove
68
ref
1305
remove
72
ref
appTerm
nil
cons
1334
def
cons
nil
cons
cons
nil
cons
cons
1335
def
129
ref
subst
proveHyp
1335
ref
85
ref
subst
1335
remove
138
ref
subst
1333
ref
85
ref
subst
1333
remove
138
ref
subst
1309
remove
1316
remove
nil
1317
remove
462
ref
cons
nil
cons
cons
1336
def
129
ref
subst
proveHyp
1321
remove
nil
1322
remove
68
ref
1323
remove
72
ref
appTerm
nil
cons
1337
def
cons
nil
cons
cons
nil
cons
cons
1338
def
129
ref
subst
proveHyp
1338
ref
85
ref
subst
1338
remove
138
ref
subst
1336
ref
85
ref
subst
1336
remove
138
ref
subst
1292
remove
129
ref
subst
1265
remove
assume
eqMp
nil
67
ref
1290
ref
cons
462
remove
cons
nil
cons
cons
129
ref
subst
1319
remove
assume
eqMp
proveHyp
eqMp
nil
1326
remove
107
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1328
remove
106
ref
1337
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
1329
remove
107
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1330
remove
106
ref
1334
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
121
remove
deductAntisym
eqMp
eqMp
nil
104
ref
1286
remove
cons
1194
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1283
remove
cons
106
ref
1284
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1279
remove
cons
106
ref
1281
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
67
ref
165
ref
1269
ref
appTerm
nil
cons
cons
68
ref
1270
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
1269
remove
nil
cons
cons
169
ref
1288
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1268
remove
nil
cons
cons
68
ref
1267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
1266
remove
nil
cons
cons
169
ref
1290
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
1226
remove
50
ref
28
ref
173
remove
40
ref
appTerm
appTerm
40
ref
appTerm
absTerm
1339
def
52
ref
appTerm
1340
def
betaConv
nil
165
ref
1339
ref
appTerm
1341
def
axiom
nil
67
ref
1341
remove
nil
cons
cons
68
ref
1340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
1339
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1342
def
subst
trans
sym
55
ref
eqMp
1343
def
subst
eqMp
eqMp
nil
67
ref
33
ref
1106
ref
appTerm
nil
cons
cons
68
ref
1107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1106
remove
nil
cons
cons
578
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1105
remove
nil
cons
cons
68
ref
1104
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
ref
579
ref
1103
remove
nil
cons
cons
581
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
sym
1344
def
subst
subst
1345
def
appThm
eqMp
10
ref
381
ref
appTerm
refl
10
ref
"_29632"
325
ref
var
1346
def
1052
ref
1346
remove
varTerm
appTerm
absTerm
1347
def
384
ref
appTerm
1348
def
appTerm
refl
1347
ref
1077
ref
appTerm
betaConv
appThm
338
ref
1348
remove
betaConv
appThm
1078
ref
refl
appThm
trans
1347
remove
refl
1023
remove
955
ref
560
ref
7
ref
0
ref
539
ref
571
remove
nil
cons
1349
def
cons
opType
constTerm
1350
def
374
ref
0
ref
0
ref
0
ref
562
remove
540
ref
cons
opType
1351
def
3
ref
cons
opType
1352
def
1351
ref
nil
cons
1353
def
cons
opType
constTerm
"fn"
1351
ref
var
1354
def
33
ref
565
ref
573
ref
560
ref
1350
ref
1354
ref
varTerm
568
ref
appTerm
appTerm
1355
def
567
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1356
def
appTerm
1357
def
568
ref
appTerm
appTerm
567
ref
appTerm
absTerm
1358
def
567
ref
appTerm
1359
def
betaConv
565
ref
573
ref
1358
ref
appTerm
1360
def
absTerm
1361
def
566
ref
appTerm
1362
def
betaConv
1356
ref
1357
remove
appTerm
1363
def
betaConv
946
ref
0
ref
1352
ref
3
ref
cons
opType
constTerm
1364
def
refl
1354
remove
1110
remove
565
ref
1111
remove
560
ref
1355
remove
refl
565
ref
560
ref
567
ref
absTerm
1365
def
absTerm
1366
def
566
ref
appTerm
betaConv
1114
remove
appThm
1365
remove
567
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
540
remove
cons
nil
cons
"_1343"
0
ref
30
ref
541
remove
cons
opType
var
1366
remove
nil
cons
cons
nil
cons
nil
cons
cons
1197
remove
subst
eqMp
nil
67
ref
1364
remove
1356
ref
appTerm
nil
cons
cons
68
ref
1363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1353
remove
cons
nil
cons
"p"
1352
remove
var
1356
remove
nil
cons
cons
nil
cons
nil
cons
cons
1343
ref
subst
eqMp
eqMp
nil
67
ref
33
ref
1361
ref
appTerm
nil
cons
cons
68
ref
1362
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1361
remove
nil
cons
cons
578
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1360
remove
nil
cons
cons
68
ref
1359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
ref
579
ref
1358
remove
nil
cons
cons
581
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
sym
1367
def
subst
subst
1368
def
appThm
eqMp
appThm
nil
192
ref
383
ref
nil
cons
1369
def
cons
1370
def
6
ref
381
ref
nil
cons
1371
def
cons
1372
def
nil
cons
cons
1373
def
nil
cons
cons
1374
def
983
ref
1344
remove
subst
1375
def
subst
eqMp
1376
def
appThm
eqMp
10
ref
383
ref
appTerm
refl
10
ref
"_29634"
325
ref
var
1377
def
1059
ref
1377
remove
varTerm
appTerm
absTerm
1378
def
384
ref
appTerm
1379
def
appTerm
refl
1378
ref
1077
remove
appTerm
betaConv
appThm
338
ref
1379
remove
betaConv
appThm
1082
ref
refl
appThm
trans
1378
remove
refl
1368
remove
appThm
eqMp
appThm
1374
ref
983
ref
1367
remove
subst
1380
def
subst
eqMp
1381
def
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
349
remove
cons
nil
cons
1382
def
"P"
375
ref
var
1383
def
1027
ref
nil
cons
1384
def
cons
"x"
348
ref
var
1385
def
1062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
946
ref
0
ref
375
ref
3
ref
cons
opType
constTerm
1386
def
1027
remove
appTerm
nil
cons
cons
68
ref
1037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p"
375
remove
var
1387
def
1384
remove
cons
nil
cons
nil
cons
cons
1382
ref
24
ref
cons
1343
ref
subst
1388
def
subst
eqMp
eqMp
nil
67
ref
65
ref
1035
ref
appTerm
nil
cons
cons
68
ref
1036
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1035
remove
nil
cons
cons
130
ref
270
ref
cons
nil
cons
1389
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1034
remove
nil
cons
cons
68
ref
1033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1032
remove
nil
cons
cons
130
ref
1371
ref
cons
nil
cons
1390
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1031
remove
nil
cons
cons
68
ref
1030
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1029
remove
nil
cons
cons
130
ref
1369
ref
cons
nil
cons
1391
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1392
def
trans
appThm
nil
556
ref
937
remove
nil
cons
cons
1021
remove
cons
nil
cons
cons
582
remove
subst
trans
appThm
752
ref
appThm
appThm
sym
nil
67
ref
10
ref
196
ref
appTerm
1393
def
730
ref
appTerm
1394
def
nil
cons
1395
def
cons
68
ref
1393
ref
215
ref
appTerm
1396
def
nil
cons
1397
def
cons
nil
cons
cons
nil
cons
cons
1398
def
85
ref
subst
1398
remove
138
ref
subst
28
ref
"_29672"
1
ref
var
1399
def
10
ref
1399
remove
varTerm
appTerm
215
ref
appTerm
absTerm
1400
def
196
ref
appTerm
1401
def
appTerm
refl
1400
ref
730
ref
appTerm
betaConv
appThm
108
ref
1401
remove
betaConv
appThm
10
ref
730
ref
appTerm
1402
def
215
ref
appTerm
1403
def
refl
appThm
trans
1400
remove
refl
1394
remove
assume
appThm
eqMp
sym
847
ref
57
ref
1402
ref
847
ref
varTerm
1404
def
appTerm
appTerm
10
ref
1404
ref
appTerm
1405
def
215
ref
appTerm
appTerm
absTerm
1406
def
729
ref
200
ref
appTerm
1407
def
appTerm
betaConv
sym
nil
922
remove
68
ref
1402
remove
1407
ref
appTerm
nil
cons
1408
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
155
ref
nil
67
ref
883
ref
nil
cons
1409
def
cons
1410
def
68
ref
10
ref
214
ref
886
ref
appTerm
appTerm
1411
def
215
ref
appTerm
1412
def
nil
cons
1413
def
cons
nil
cons
1414
def
cons
nil
cons
cons
1415
def
85
ref
subst
1415
remove
138
ref
subst
436
ref
441
ref
10
ref
390
ref
392
ref
396
ref
437
ref
appTerm
appTerm
437
ref
appTerm
appTerm
402
remove
437
ref
appTerm
1416
def
appTerm
appTerm
200
ref
appTerm
appTerm
absTerm
1417
def
19
ref
appTerm
1418
def
betaConv
"m"
1
ref
var
1419
def
65
ref
436
ref
441
ref
10
ref
390
ref
392
ref
368
ref
1419
ref
varTerm
1420
def
appTerm
437
ref
appTerm
1421
def
appTerm
437
ref
appTerm
appTerm
401
ref
1420
ref
appTerm
1422
def
437
ref
appTerm
1423
def
appTerm
appTerm
1420
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1424
def
200
ref
appTerm
1425
def
betaConv
nil
65
ref
1424
ref
appTerm
1426
def
axiom
1427
def
nil
67
ref
1426
remove
nil
cons
cons
1428
def
68
ref
1425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1424
ref
nil
cons
cons
1429
def
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1430
def
nil
67
ref
65
ref
1417
ref
appTerm
nil
cons
cons
1431
def
68
ref
1418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1417
ref
nil
cons
cons
1432
def
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
884
ref
10
ref
390
ref
392
ref
396
ref
19
ref
appTerm
1433
def
appTerm
19
ref
appTerm
1434
def
appTerm
1435
def
886
ref
appTerm
appTerm
200
ref
appTerm
1436
def
appTerm
nil
cons
cons
1414
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
447
ref
nil
1410
ref
68
ref
28
ref
882
ref
appTerm
1437
def
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
104
ref
882
ref
nil
cons
1438
def
cons
1439
def
nil
cons
nil
cons
cons
1440
def
487
ref
subst
eqMp
1441
def
appThm
490
ref
trans
1442
def
appThm
1443
def
1436
ref
refl
appThm
nil
50
ref
1436
ref
nil
cons
1444
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
1412
ref
refl
appThm
sym
nil
67
ref
1444
ref
cons
1414
remove
cons
nil
cons
cons
1445
def
85
ref
subst
1445
remove
138
ref
subst
1411
remove
refl
214
ref
refl
1446
def
1436
remove
assume
sym
appThm
appThm
sym
150
ref
10
ref
214
ref
152
ref
appTerm
1447
def
appTerm
1448
def
214
ref
1435
remove
152
ref
appTerm
appTerm
1449
def
appTerm
1450
def
absTerm
1451
def
886
ref
appTerm
1452
def
betaConv
nil
5
ref
1451
ref
nil
cons
cons
1453
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
1450
remove
nil
cons
1454
def
cons
nil
cons
nil
cons
cons
56
ref
subst
"k"
1
ref
var
1455
def
10
ref
214
ref
390
ref
392
ref
1455
ref
varTerm
1456
def
appTerm
1457
def
19
ref
appTerm
1458
def
appTerm
152
ref
appTerm
1459
def
appTerm
appTerm
1447
ref
appTerm
1460
def
absTerm
1461
def
1433
ref
appTerm
1462
def
betaConv
1446
ref
390
ref
refl
1463
def
nil
436
ref
131
ref
cons
1464
def
nil
cons
nil
cons
cons
1465
def
436
ref
10
ref
392
ref
17
ref
appTerm
1466
def
437
ref
appTerm
appTerm
17
ref
appTerm
absTerm
1467
def
437
ref
appTerm
1468
def
betaConv
nil
65
ref
1467
ref
appTerm
1469
def
axiom
nil
67
ref
1469
remove
nil
cons
cons
68
ref
1468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1467
remove
nil
cons
cons
130
ref
437
ref
nil
cons
1470
def
cons
nil
cons
1471
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1472
def
subst
appThm
152
ref
refl
1473
def
appThm
nil
436
ref
153
ref
cons
1474
def
nil
cons
nil
cons
cons
1475
def
436
ref
10
ref
390
ref
17
ref
appTerm
1476
def
437
ref
appTerm
appTerm
437
ref
appTerm
absTerm
1477
def
437
ref
appTerm
1478
def
betaConv
nil
65
ref
1477
ref
appTerm
1479
def
axiom
nil
67
ref
1479
remove
nil
cons
cons
68
ref
1478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1477
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1480
def
subst
trans
appThm
nil
67
ref
10
ref
214
ref
390
ref
1466
ref
19
ref
appTerm
appTerm
152
ref
appTerm
appTerm
appTerm
1447
ref
appTerm
1481
def
nil
cons
cons
68
ref
65
ref
1455
ref
69
ref
1460
ref
appTerm
10
ref
214
ref
390
ref
392
ref
"Number.Natural.suc"
const
13
ref
constTerm
1482
def
1456
ref
appTerm
1483
def
appTerm
19
ref
appTerm
appTerm
152
ref
appTerm
appTerm
appTerm
1447
ref
appTerm
1484
def
appTerm
1485
def
absTerm
1486
def
appTerm
1487
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
1486
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1455
ref
nil
50
ref
1485
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1460
ref
nil
cons
1488
def
cons
68
ref
1484
remove
nil
cons
1489
def
cons
nil
cons
cons
nil
cons
cons
1490
def
85
ref
subst
1490
remove
138
ref
subst
1446
ref
1463
ref
nil
1464
ref
1419
ref
1456
ref
nil
cons
1491
def
cons
nil
cons
1492
def
cons
nil
cons
cons
436
ref
10
ref
392
ref
1482
ref
1420
ref
appTerm
1493
def
appTerm
437
ref
appTerm
1494
def
appTerm
1495
def
390
ref
437
ref
appTerm
1496
def
392
ref
1420
ref
appTerm
1497
def
437
ref
appTerm
1498
def
appTerm
appTerm
absTerm
1499
def
437
ref
appTerm
1500
def
betaConv
1419
ref
65
ref
1499
ref
appTerm
1501
def
absTerm
1502
def
1420
ref
appTerm
1503
def
betaConv
149
ref
1419
ref
149
ref
436
ref
1495
ref
refl
nil
1419
ref
1498
ref
nil
cons
cons
nil
cons
nil
cons
cons
436
ref
10
ref
390
ref
1420
ref
appTerm
1504
def
437
ref
appTerm
1505
def
appTerm
1506
def
1496
ref
1420
ref
appTerm
1507
def
appTerm
1508
def
absTerm
1509
def
437
ref
appTerm
1510
def
betaConv
1419
ref
65
ref
1509
ref
appTerm
1511
def
absTerm
1512
def
1420
ref
appTerm
1513
def
betaConv
nil
65
ref
1512
ref
appTerm
1514
def
axiom
1515
def
nil
67
ref
1514
ref
nil
cons
1516
def
cons
1517
def
68
ref
1513
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1512
ref
nil
cons
cons
1518
def
130
ref
1420
ref
nil
cons
1519
def
cons
nil
cons
1520
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1511
remove
nil
cons
cons
68
ref
1510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1509
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1521
def
subst
appThm
absThm
appThm
absThm
appThm
nil
65
ref
1419
ref
65
ref
436
ref
1495
remove
390
ref
1498
ref
appTerm
1522
def
437
ref
appTerm
1523
def
appTerm
1524
def
absTerm
1525
def
appTerm
1526
def
absTerm
1527
def
appTerm
1528
def
axiom
1529
def
eqMp
nil
67
ref
65
ref
1502
ref
appTerm
nil
cons
cons
68
ref
1503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1502
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1501
remove
nil
cons
cons
68
ref
1500
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1499
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
1473
ref
appThm
nil
"p"
1
ref
var
1530
def
153
ref
cons
1531
def
436
ref
1458
ref
nil
cons
1532
def
cons
1419
ref
131
ref
cons
nil
cons
1533
def
cons
cons
nil
cons
cons
1530
ref
10
ref
390
ref
1505
ref
appTerm
1530
ref
varTerm
1534
def
appTerm
1535
def
appTerm
1504
ref
1496
ref
1534
ref
appTerm
1536
def
appTerm
1537
def
appTerm
1538
def
absTerm
1539
def
1534
ref
appTerm
1540
def
betaConv
436
ref
65
ref
1539
ref
appTerm
1541
def
absTerm
1542
def
437
ref
appTerm
1543
def
betaConv
1419
ref
65
ref
1542
ref
appTerm
1544
def
absTerm
1545
def
1420
ref
appTerm
1546
def
betaConv
149
ref
1419
ref
149
ref
436
ref
149
ref
1530
ref
1538
remove
assume
sym
10
ref
1537
remove
appTerm
1535
remove
appTerm
1547
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
1547
remove
absTerm
1548
def
appTerm
1549
def
absTerm
1550
def
appTerm
1551
def
absTerm
1552
def
appTerm
1553
def
axiom
1554
def
eqMp
nil
67
ref
65
ref
1545
ref
appTerm
nil
cons
cons
68
ref
1546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1545
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1544
remove
nil
cons
cons
68
ref
1543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1542
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1541
remove
nil
cons
cons
68
ref
1540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1539
remove
nil
cons
cons
130
ref
1534
ref
nil
cons
1555
def
cons
nil
cons
1556
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1557
def
subst
trans
appThm
nil
192
ref
1459
remove
nil
cons
cons
nil
cons
nil
cons
cons
241
ref
57
ref
228
ref
390
ref
19
ref
appTerm
1558
def
200
ref
appTerm
1559
def
appTerm
1560
def
appTerm
65
ref
150
ref
69
ref
203
ref
157
ref
1559
ref
appTerm
1561
def
appTerm
1562
def
appTerm
272
ref
appTerm
1563
def
absTerm
1564
def
appTerm
1565
def
appTerm
1566
def
refl
appThm
nil
50
ref
1566
ref
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
252
remove
nil
254
remove
68
ref
1560
remove
nil
cons
1567
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
237
ref
cons
1568
def
193
ref
285
ref
cons
1569
def
cons
nil
cons
cons
150
ref
69
ref
287
ref
60
ref
152
ref
appTerm
1570
def
appTerm
1571
def
appTerm
60
ref
390
ref
200
ref
appTerm
1572
def
152
ref
appTerm
appTerm
appTerm
absTerm
1573
def
152
ref
appTerm
1574
def
betaConv
192
ref
65
ref
1573
ref
appTerm
1575
def
absTerm
1576
def
200
ref
appTerm
1577
def
betaConv
6
ref
65
ref
1576
ref
appTerm
1578
def
absTerm
1579
def
19
ref
appTerm
1580
def
betaConv
nil
65
ref
1579
ref
appTerm
1581
def
axiom
nil
67
ref
1581
remove
nil
cons
cons
68
ref
1580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1579
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1578
remove
nil
cons
cons
68
ref
1577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1576
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1575
remove
nil
cons
cons
68
ref
1574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1573
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1582
def
subst
eqMp
nil
67
ref
1567
remove
cons
68
ref
1565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
1564
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
1563
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1562
remove
nil
cons
1583
def
cons
68
ref
272
ref
nil
cons
1584
def
cons
nil
cons
1585
def
cons
nil
cons
cons
1586
def
85
ref
subst
1586
remove
138
ref
subst
nil
645
ref
106
ref
1561
ref
nil
cons
1587
def
cons
nil
cons
cons
nil
cons
cons
1588
def
120
ref
subst
1588
remove
224
ref
subst
nil
67
ref
160
remove
cons
68
ref
646
ref
cons
nil
cons
1589
def
cons
nil
cons
cons
138
ref
subst
1590
def
58
ref
nil
436
ref
237
ref
cons
1591
def
1533
ref
cons
nil
cons
cons
1592
def
nil
50
ref
"Number.Natural.<="
const
9
ref
constTerm
1593
def
1420
ref
appTerm
1594
def
1505
ref
appTerm
1595
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
436
ref
1595
remove
absTerm
1596
def
437
ref
appTerm
1597
def
betaConv
1419
ref
65
ref
1596
ref
appTerm
1598
def
absTerm
1599
def
1420
ref
appTerm
1600
def
betaConv
nil
65
ref
1599
ref
appTerm
1601
def
axiom
1602
def
nil
67
ref
1601
ref
nil
cons
1603
def
cons
1604
def
68
ref
1600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1599
ref
nil
cons
cons
1605
def
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1598
remove
nil
cons
cons
68
ref
1597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1596
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
subst
appThm
58
ref
nil
50
ref
1587
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
1561
ref
assume
eqMp
appThm
653
ref
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
1593
ref
19
ref
appTerm
1606
def
1559
ref
appTerm
appTerm
57
ref
1561
remove
appTerm
158
ref
appTerm
appTerm
nil
cons
cons
68
ref
157
ref
367
ref
1559
ref
appTerm
19
ref
appTerm
appTerm
nil
cons
1607
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
131
ref
cons
1608
def
192
ref
1559
ref
nil
cons
1609
def
cons
1610
def
154
ref
cons
cons
nil
cons
cons
150
ref
69
ref
57
ref
1593
ref
152
ref
appTerm
200
ref
appTerm
appTerm
1571
remove
appTerm
appTerm
60
ref
367
ref
200
ref
appTerm
1611
def
152
ref
appTerm
appTerm
appTerm
absTerm
1612
def
152
ref
appTerm
1613
def
betaConv
192
ref
65
ref
1612
ref
appTerm
1614
def
absTerm
1615
def
200
ref
appTerm
1616
def
betaConv
6
ref
65
ref
1615
ref
appTerm
1617
def
absTerm
1618
def
19
ref
appTerm
1619
def
betaConv
nil
65
ref
1618
ref
appTerm
1620
def
axiom
nil
67
ref
1620
remove
nil
cons
cons
68
ref
1619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1618
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1617
remove
nil
cons
cons
68
ref
1616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1615
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1614
remove
nil
cons
cons
68
ref
1613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1612
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1621
def
subst
eqMp
nil
67
ref
1607
remove
cons
1589
ref
cons
nil
cons
cons
129
ref
subst
151
ref
157
ref
refl
1622
def
1592
ref
436
ref
10
ref
367
ref
1505
ref
appTerm
1420
ref
appTerm
appTerm
437
ref
appTerm
absTerm
1623
def
437
ref
appTerm
1624
def
betaConv
1419
ref
65
ref
1623
ref
appTerm
1625
def
absTerm
1626
def
1420
ref
appTerm
1627
def
betaConv
nil
65
ref
1626
ref
appTerm
1628
def
axiom
nil
67
ref
1628
remove
nil
cons
cons
68
ref
1627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1626
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1625
remove
nil
cons
cons
68
ref
1624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1623
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1629
def
subst
appThm
appThm
204
ref
refl
appThm
650
remove
178
ref
subst
trans
sym
55
ref
eqMp
eqMp
proveHyp
eqMp
nil
641
ref
1585
ref
cons
nil
cons
cons
129
ref
subst
1630
def
proveHyp
283
ref
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
1583
remove
cons
106
ref
1584
ref
cons
nil
cons
1631
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
253
ref
1566
remove
appTerm
nil
cons
cons
68
ref
10
ref
214
ref
1559
ref
appTerm
appTerm
215
ref
appTerm
1632
def
nil
cons
1633
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
190
ref
257
ref
cons
1634
def
1610
remove
nil
cons
cons
nil
cons
cons
300
ref
subst
eqMp
1635
def
subst
1460
remove
assume
trans
trans
eqMp
nil
104
ref
1488
remove
cons
106
ref
1489
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
57
ref
1481
remove
appTerm
1487
remove
appTerm
nil
cons
cons
68
ref
65
ref
1461
ref
appTerm
nil
cons
1636
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
1461
ref
17
ref
appTerm
betaConv
appThm
149
ref
1455
ref
151
ref
1461
ref
1456
ref
appTerm
betaConv
1637
def
appThm
1461
ref
1483
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
149
ref
1455
ref
1637
remove
absThm
appThm
appThm
nil
"p"
4
ref
var
1638
def
1461
remove
nil
cons
1639
def
cons
nil
cons
nil
cons
cons
1638
ref
69
ref
57
ref
1638
ref
varTerm
1640
def
17
ref
appTerm
appTerm
65
ref
436
ref
69
ref
1640
ref
437
ref
appTerm
1641
def
appTerm
1640
ref
1482
ref
437
ref
appTerm
1642
def
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
65
ref
436
ref
1641
remove
absTerm
appTerm
appTerm
absTerm
1643
def
1640
ref
appTerm
1644
def
betaConv
nil
29
ref
0
ref
64
ref
3
ref
cons
opType
constTerm
1643
ref
appTerm
1645
def
axiom
nil
67
ref
1645
remove
nil
cons
cons
68
ref
1644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
8
remove
cons
nil
cons
"P"
64
ref
var
1643
remove
nil
cons
cons
"x"
4
ref
var
1640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1646
def
subst
eqMp
eqMp
nil
67
ref
1636
remove
cons
68
ref
1462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1639
remove
cons
130
ref
1433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
10
ref
1449
ref
appTerm
1447
ref
appTerm
nil
cons
cons
68
ref
1454
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
1449
remove
nil
cons
cons
847
ref
1447
ref
nil
cons
1647
def
cons
nil
cons
cons
nil
cons
cons
870
ref
subst
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
1451
remove
appTerm
nil
cons
cons
68
ref
1452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1453
remove
130
ref
886
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1444
remove
cons
106
ref
1413
remove
cons
nil
cons
1648
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1409
ref
cons
1649
def
1648
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
1650
def
subst
eqMp
nil
67
ref
1408
remove
cons
68
ref
10
ref
1407
ref
appTerm
1651
def
215
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
338
ref
155
ref
661
ref
subst
appThm
661
ref
appThm
sym
28
ref
"_29674"
1
ref
var
1652
def
10
ref
633
ref
1652
remove
varTerm
appTerm
appTerm
634
ref
appTerm
absTerm
1653
def
152
ref
appTerm
1654
def
appTerm
refl
1653
ref
407
ref
appTerm
betaConv
appThm
108
ref
1654
remove
betaConv
appThm
10
ref
633
ref
407
ref
appTerm
appTerm
634
ref
appTerm
1655
def
refl
appThm
trans
1653
remove
refl
919
remove
appThm
eqMp
sym
nil
421
ref
68
ref
1655
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
632
ref
1650
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
1406
ref
nil
cons
cons
130
ref
1407
ref
nil
cons
1656
def
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
1406
remove
appTerm
nil
cons
cons
68
ref
1403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"z"
1
ref
var
1657
def
257
ref
cons
130
ref
730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
25
ref
"z"
30
ref
var
1658
def
69
ref
960
remove
780
ref
57
ref
848
ref
appTerm
849
remove
1658
ref
varTerm
1659
def
appTerm
appTerm
1660
def
absTerm
1661
def
appTerm
1662
def
appTerm
1663
def
542
remove
1659
ref
appTerm
1664
def
appTerm
1665
def
absTerm
1666
def
1659
ref
appTerm
1667
def
betaConv
39
ref
33
ref
1666
ref
appTerm
1668
def
absTerm
1669
def
134
ref
appTerm
1670
def
betaConv
nil
33
ref
39
ref
33
ref
780
ref
33
ref
1658
ref
69
ref
1660
ref
appTerm
1664
ref
appTerm
absTerm
1671
def
appTerm
1672
def
absTerm
1673
def
appTerm
1674
def
absTerm
1675
def
appTerm
1676
def
axiom
nil
67
ref
1676
ref
nil
cons
1677
def
cons
1678
def
68
ref
33
ref
1669
ref
appTerm
nil
cons
1679
def
cons
nil
cons
cons
nil
cons
cons
1680
def
129
ref
subst
proveHyp
1680
ref
85
ref
subst
1680
remove
138
ref
subst
nil
34
ref
1669
remove
nil
cons
cons
1681
def
nil
cons
nil
cons
cons
48
ref
subst
39
ref
nil
50
ref
1668
remove
nil
cons
1682
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
34
ref
1666
remove
nil
cons
cons
1683
def
nil
cons
nil
cons
cons
48
ref
subst
1658
remove
nil
50
ref
1665
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1662
remove
nil
cons
1684
def
cons
1685
def
68
ref
1664
ref
nil
cons
1686
def
cons
nil
cons
1687
def
cons
nil
cons
cons
1688
def
85
ref
subst
1688
remove
138
ref
subst
nil
1678
ref
1687
ref
cons
nil
cons
cons
1689
def
129
ref
subst
nil
1685
remove
68
ref
69
ref
1676
remove
appTerm
1664
remove
appTerm
1690
def
nil
cons
1691
def
cons
nil
cons
1692
def
cons
nil
cons
cons
129
ref
subst
nil
34
ref
780
ref
69
ref
1661
ref
782
ref
appTerm
1693
def
appTerm
1690
ref
appTerm
1694
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
48
ref
subst
780
ref
nil
50
ref
1694
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1693
ref
nil
cons
1695
def
cons
1692
ref
cons
nil
cons
cons
1696
def
85
ref
subst
1696
remove
138
ref
subst
1693
ref
betaConv
1693
remove
assume
eqMp
nil
67
ref
1660
remove
nil
cons
1697
def
cons
1698
def
1692
remove
cons
nil
cons
cons
1699
def
129
ref
subst
proveHyp
1699
ref
85
ref
subst
1699
remove
138
ref
subst
1689
ref
85
ref
subst
1689
remove
138
ref
subst
nil
1698
remove
1687
remove
cons
nil
cons
cons
129
ref
subst
1671
ref
1659
ref
appTerm
1700
def
betaConv
1673
ref
782
ref
appTerm
1701
def
betaConv
1675
ref
134
ref
appTerm
1702
def
betaConv
nil
1678
remove
68
ref
1702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
522
ref
34
ref
1675
remove
nil
cons
cons
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1674
remove
nil
cons
cons
68
ref
1701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1673
remove
nil
cons
cons
803
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1672
remove
nil
cons
cons
68
ref
1700
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1671
remove
nil
cons
cons
39
ref
1659
remove
nil
cons
cons
nil
cons
1703
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1677
remove
cons
1704
def
106
ref
1686
remove
cons
nil
cons
1705
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1697
remove
cons
106
ref
1691
remove
cons
nil
cons
1706
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1695
remove
cons
1706
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
33
ref
"x'"
30
ref
var
1707
def
69
ref
1661
ref
1707
remove
varTerm
appTerm
appTerm
1690
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
1663
remove
1690
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1661
remove
nil
cons
cons
1706
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1684
remove
cons
1705
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1704
remove
106
ref
1679
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
1679
remove
cons
68
ref
1670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
1681
remove
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1682
remove
cons
68
ref
1667
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
1683
remove
1703
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
1708
def
subst
eqMp
eqMp
eqMp
nil
104
ref
1395
remove
cons
106
ref
1397
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1016
remove
cons
106
ref
974
remove
cons
nil
cons
1709
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1013
remove
cons
1709
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
1009
ref
130
ref
varTerm
1710
def
appTerm
appTerm
973
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
1010
remove
appTerm
973
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1009
remove
nil
cons
cons
1709
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
1006
remove
cons
1709
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
1002
ref
1710
ref
appTerm
appTerm
973
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
1003
remove
appTerm
973
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1002
remove
nil
cons
cons
1709
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
1000
remove
cons
1709
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
997
ref
1710
ref
appTerm
appTerm
1711
def
973
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
997
ref
appTerm
appTerm
1712
def
973
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
997
ref
nil
cons
cons
1713
def
1709
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
910
remove
cons
909
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
716
remove
appTerm
742
remove
appTerm
nil
cons
cons
68
ref
65
ref
705
ref
appTerm
1714
def
nil
cons
1715
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
149
ref
6
ref
6
ref
701
ref
absTerm
1716
def
19
ref
appTerm
betaConv
1717
def
921
ref
appThm
701
ref
17
ref
appTerm
betaConv
trans
absThm
appThm
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
719
ref
refl
1718
def
1717
remove
417
ref
appThm
703
remove
trans
1719
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
717
ref
refl
1720
def
726
ref
refl
1721
def
728
ref
refl
1722
def
1716
ref
152
ref
appTerm
betaConv
403
ref
refl
1723
def
appThm
192
ref
10
ref
330
ref
400
ref
200
ref
appTerm
1724
def
appTerm
appTerm
1407
ref
appTerm
absTerm
403
ref
appTerm
betaConv
trans
appThm
appThm
appThm
appThm
1719
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
1719
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
9
ref
var
1725
def
1716
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
67
ref
57
ref
65
ref
6
ref
1725
ref
varTerm
1726
def
19
ref
appTerm
1727
def
17
ref
appTerm
1728
def
absTerm
1729
def
appTerm
1730
def
appTerm
57
ref
65
ref
6
ref
65
ref
192
ref
719
ref
1727
ref
200
ref
appTerm
1731
def
appTerm
1732
def
absTerm
1733
def
appTerm
1734
def
absTerm
1735
def
appTerm
1736
def
appTerm
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
717
ref
726
ref
728
ref
1726
ref
152
ref
appTerm
403
ref
appTerm
appTerm
appTerm
appTerm
1737
def
appTerm
1731
ref
appTerm
absTerm
1738
def
appTerm
1739
def
absTerm
1740
def
appTerm
1741
def
absTerm
1742
def
appTerm
1743
def
appTerm
1744
def
appTerm
1745
def
nil
cons
1746
def
cons
68
ref
65
ref
6
ref
65
ref
192
ref
1731
ref
absTerm
1747
def
appTerm
1748
def
absTerm
1749
def
appTerm
1750
def
nil
cons
1751
def
cons
nil
cons
1752
def
cons
nil
cons
cons
1753
def
85
ref
subst
1753
remove
138
ref
subst
nil
104
ref
1730
remove
nil
cons
1754
def
cons
106
ref
1744
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1755
def
120
ref
subst
1755
remove
224
ref
subst
nil
104
ref
1736
remove
nil
cons
1756
def
cons
106
ref
1743
ref
nil
cons
1757
def
cons
nil
cons
cons
nil
cons
cons
1758
def
120
ref
subst
1758
remove
224
ref
subst
"r"
1056
ref
var
1759
def
28
ref
"Relation.wellFounded"
const
1760
def
0
ref
1056
ref
3
ref
cons
opType
1761
def
constTerm
1762
def
1759
remove
varTerm
1763
def
appTerm
appTerm
29
ref
0
ref
949
ref
3
ref
cons
opType
1764
def
constTerm
1765
def
981
ref
69
ref
1043
ref
"x"
325
ref
var
1766
def
69
ref
1043
ref
"y"
325
ref
var
1767
def
69
ref
1763
remove
1767
ref
varTerm
1768
def
appTerm
1766
ref
varTerm
1769
def
appTerm
appTerm
981
ref
varTerm
1770
def
1768
ref
appTerm
1771
def
appTerm
absTerm
appTerm
appTerm
1770
remove
1769
ref
appTerm
1772
def
appTerm
absTerm
appTerm
appTerm
1043
ref
1766
ref
1772
ref
absTerm
appTerm
1773
def
appTerm
absTerm
appTerm
appTerm
absTerm
1774
def
"Relation.measure"
const
1775
def
0
ref
1046
ref
1056
ref
nil
cons
1776
def
cons
opType
constTerm
"Data.Pair.snd"
const
1777
def
1046
ref
constTerm
1778
def
appTerm
1779
def
appTerm
1780
def
betaConv
"A"
326
remove
cons
nil
cons
24
ref
cons
1781
def
nil
29
ref
0
ref
0
ref
508
ref
3
ref
cons
opType
1782
def
3
ref
cons
opType
constTerm
"r"
508
ref
var
1783
def
28
ref
1760
remove
1782
remove
constTerm
1784
def
1783
remove
varTerm
1785
def
appTerm
appTerm
796
ref
37
ref
69
ref
33
ref
39
ref
69
ref
33
ref
780
ref
69
ref
1785
remove
782
ref
appTerm
134
ref
appTerm
appTerm
784
remove
appTerm
absTerm
appTerm
appTerm
783
ref
appTerm
absTerm
appTerm
appTerm
33
ref
1227
remove
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
axiom
subst
nil
67
ref
29
ref
0
ref
1761
ref
3
ref
cons
opType
constTerm
1774
ref
appTerm
nil
cons
cons
68
ref
1780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1776
remove
cons
nil
cons
"P"
1761
remove
var
1774
remove
nil
cons
cons
"x"
1056
remove
var
1779
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
28
ref
1762
remove
1779
ref
appTerm
appTerm
1765
remove
981
ref
69
ref
1043
ref
1766
ref
69
ref
1043
ref
1767
ref
69
ref
1779
ref
1768
ref
appTerm
1786
def
1769
ref
appTerm
appTerm
1787
def
1771
remove
appTerm
absTerm
appTerm
appTerm
1772
remove
appTerm
absTerm
appTerm
appTerm
1773
remove
appTerm
absTerm
1788
def
appTerm
1789
def
appTerm
nil
cons
cons
1752
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
108
ref
nil
"m"
1046
remove
var
1778
remove
nil
cons
cons
nil
cons
1790
def
nil
cons
cons
1781
ref
nil
50
ref
1784
remove
1775
remove
0
ref
0
ref
30
ref
11
remove
cons
opType
1791
def
508
remove
nil
cons
cons
opType
constTerm
"m"
1791
ref
var
1792
def
varTerm
1793
def
appTerm
1794
def
appTerm
1795
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1792
ref
1795
remove
absTerm
1796
def
1793
ref
appTerm
1797
def
betaConv
nil
29
ref
0
ref
0
ref
1791
ref
3
ref
cons
opType
1798
def
3
ref
cons
opType
constTerm
1799
def
1796
ref
appTerm
1800
def
axiom
nil
67
ref
1800
remove
nil
cons
cons
68
ref
1797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
1791
ref
nil
cons
cons
nil
cons
1801
def
"P"
1798
remove
var
1802
def
1796
remove
nil
cons
cons
"x"
1791
remove
var
1793
ref
nil
cons
cons
nil
cons
1803
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
subst
subst
appThm
1789
ref
refl
appThm
nil
50
ref
1789
remove
nil
cons
1804
def
cons
nil
cons
nil
cons
cons
905
ref
subst
trans
appThm
149
ref
1749
ref
refl
appThm
1805
def
appThm
sym
nil
67
ref
1804
ref
cons
1806
def
1752
ref
cons
nil
cons
cons
1807
def
85
ref
subst
1807
remove
138
ref
subst
1788
ref
374
ref
0
ref
949
ref
1055
ref
cons
opType
constTerm
1808
def
"f"
948
ref
var
1809
def
65
ref
6
ref
65
ref
192
ref
28
ref
1809
remove
varTerm
1050
ref
appTerm
appTerm
1731
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1810
def
appTerm
1811
def
betaConv
nil
1806
remove
68
ref
1811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
"A"
1055
remove
cons
nil
cons
1812
def
"P"
949
ref
var
1813
def
1788
remove
nil
cons
cons
"x"
948
ref
var
1814
def
1810
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
1043
ref
1766
ref
69
ref
1043
ref
1767
ref
1787
remove
1810
ref
1768
ref
appTerm
1815
def
appTerm
absTerm
appTerm
appTerm
1810
remove
1769
ref
appTerm
1816
def
appTerm
absTerm
1817
def
appTerm
appTerm
1043
ref
1766
ref
1816
remove
absTerm
1818
def
appTerm
appTerm
nil
cons
cons
1752
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
108
ref
1043
remove
refl
1819
def
1766
ref
1817
ref
1769
ref
appTerm
betaConv
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
1817
ref
1050
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
981
ref
1817
remove
nil
cons
cons
nil
cons
nil
cons
cons
983
ref
984
remove
28
ref
958
remove
986
remove
appTerm
appTerm
33
ref
565
ref
573
ref
987
remove
appTerm
absTerm
appTerm
appTerm
absTerm
1820
def
985
remove
appTerm
1821
def
betaConv
nil
990
remove
1820
ref
appTerm
1822
def
axiom
nil
67
ref
1822
remove
nil
cons
cons
68
ref
1821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
992
remove
993
remove
1820
remove
nil
cons
cons
994
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
1823
def
subst
eqMp
149
ref
6
ref
149
ref
192
ref
151
ref
108
ref
1819
ref
1767
ref
1767
ref
69
ref
1786
remove
1050
ref
appTerm
appTerm
1815
remove
appTerm
absTerm
1824
def
1768
remove
appTerm
betaConv
absThm
appThm
appThm
149
ref
978
ref
149
ref
877
ref
1824
ref
980
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
981
ref
1824
remove
nil
cons
cons
nil
cons
nil
cons
cons
1823
ref
subst
eqMp
149
ref
978
ref
149
ref
877
ref
69
ref
1779
ref
980
ref
appTerm
1825
def
1050
ref
appTerm
appTerm
1826
def
refl
nil
192
ref
878
ref
nil
cons
1827
def
cons
6
ref
979
ref
nil
cons
1828
def
cons
nil
cons
cons
nil
cons
cons
192
ref
28
ref
1808
remove
"_29580"
948
remove
var
1829
def
65
ref
6
ref
65
ref
192
ref
28
ref
1829
remove
varTerm
1050
ref
appTerm
appTerm
1731
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
1830
def
appTerm
1831
def
1050
ref
appTerm
appTerm
1731
ref
appTerm
absTerm
1832
def
200
ref
appTerm
1833
def
betaConv
6
ref
65
ref
1832
ref
appTerm
1834
def
absTerm
1835
def
19
ref
appTerm
1836
def
betaConv
1830
ref
1831
remove
appTerm
1837
def
betaConv
1830
ref
"_29578"
325
ref
var
1838
def
1726
ref
1052
ref
1838
remove
varTerm
1839
def
appTerm
appTerm
1059
ref
1839
remove
appTerm
appTerm
absTerm
1840
def
appTerm
betaConv
sym
nil
5
ref
6
ref
65
ref
192
ref
28
ref
1840
ref
1050
ref
appTerm
1841
def
appTerm
1731
ref
appTerm
1842
def
absTerm
1843
def
appTerm
1844
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
1844
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1843
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
1842
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1841
remove
betaConv
28
ref
"_29575"
1
ref
var
1845
def
1727
ref
1845
ref
varTerm
1846
def
appTerm
absTerm
200
ref
appTerm
1847
def
appTerm
refl
1845
ref
1726
ref
1052
ref
1050
ref
appTerm
1848
def
appTerm
1849
def
1846
ref
appTerm
absTerm
1850
def
1059
ref
1050
ref
appTerm
1851
def
appTerm
betaConv
appThm
108
ref
1847
remove
betaConv
appThm
1849
remove
1851
remove
appTerm
refl
appThm
trans
7
ref
0
ref
4
ref
64
remove
nil
cons
cons
opType
constTerm
1852
def
"_29574"
1
ref
var
1853
def
1845
remove
1726
ref
1853
remove
varTerm
appTerm
1846
remove
appTerm
absTerm
absTerm
1854
def
19
ref
appTerm
1855
def
appTerm
refl
1854
ref
1848
remove
appTerm
betaConv
appThm
1852
ref
refl
1856
def
1855
remove
betaConv
appThm
1850
remove
refl
appThm
trans
1854
remove
refl
1375
remove
appThm
eqMp
1380
remove
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1812
ref
1813
remove
1830
ref
nil
cons
1857
def
cons
1814
remove
1840
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
946
ref
1764
remove
constTerm
1830
remove
appTerm
nil
cons
cons
68
ref
1837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p"
949
remove
var
1857
remove
cons
nil
cons
nil
cons
cons
1812
remove
24
ref
cons
1343
ref
subst
subst
eqMp
eqMp
nil
67
ref
65
ref
1835
ref
appTerm
nil
cons
cons
68
ref
1836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1835
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1834
remove
nil
cons
cons
68
ref
1833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1832
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1858
def
subst
appThm
absThm
appThm
absThm
appThm
trans
appThm
1858
ref
appThm
absThm
appThm
absThm
appThm
trans
appThm
108
ref
1819
remove
1766
ref
1818
ref
1769
remove
appTerm
betaConv
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
1818
ref
1050
ref
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
981
ref
1818
remove
nil
cons
cons
nil
cons
nil
cons
cons
1823
remove
subst
eqMp
149
ref
6
ref
149
ref
192
ref
1858
remove
absThm
appThm
absThm
appThm
trans
appThm
appThm
1805
remove
appThm
sym
nil
67
ref
69
ref
65
ref
6
ref
65
ref
192
ref
69
ref
65
ref
978
ref
65
ref
877
ref
1826
remove
1726
ref
979
ref
appTerm
878
ref
appTerm
1859
def
appTerm
absTerm
appTerm
absTerm
1860
def
appTerm
1861
def
appTerm
1731
ref
appTerm
1862
def
absTerm
1863
def
appTerm
1864
def
absTerm
1865
def
appTerm
1866
def
appTerm
1750
ref
appTerm
1867
def
nil
cons
1868
def
cons
1752
ref
cons
nil
cons
cons
1869
def
85
ref
subst
1869
remove
138
ref
subst
nil
5
ref
1865
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
1864
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1863
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
1862
remove
nil
cons
1870
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
421
ref
68
ref
1870
ref
cons
nil
cons
1871
def
cons
nil
cons
cons
1872
def
85
ref
subst
1872
remove
138
ref
subst
nil
874
ref
1871
ref
cons
nil
cons
cons
1873
def
85
ref
subst
1873
remove
138
ref
subst
nil
67
ref
1861
remove
nil
cons
1874
def
cons
1875
def
68
ref
1731
ref
nil
cons
1876
def
cons
nil
cons
1877
def
cons
nil
cons
cons
1878
def
85
ref
subst
1879
def
1878
remove
138
ref
subst
1880
def
877
ref
69
ref
1779
ref
357
ref
407
ref
appTerm
1881
def
878
ref
appTerm
appTerm
1050
ref
appTerm
appTerm
1726
ref
407
ref
appTerm
1882
def
878
ref
appTerm
appTerm
absTerm
1883
def
763
ref
appTerm
1884
def
betaConv
1860
ref
407
ref
appTerm
1885
def
betaConv
nil
1875
remove
68
ref
1885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
1860
remove
nil
cons
cons
130
ref
407
ref
nil
cons
1886
def
cons
1887
def
nil
cons
1888
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
1883
ref
appTerm
nil
cons
cons
68
ref
1884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1883
remove
nil
cons
cons
130
ref
763
ref
nil
cons
1889
def
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
1779
remove
1881
remove
763
ref
appTerm
1890
def
appTerm
1050
ref
appTerm
1891
def
appTerm
1882
remove
763
ref
appTerm
1892
def
appTerm
1893
def
nil
cons
cons
1877
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1767
remove
1050
remove
nil
cons
cons
1766
remove
1890
remove
nil
cons
cons
1790
remove
cons
cons
nil
cons
cons
1781
remove
780
ref
28
ref
1794
remove
134
ref
appTerm
782
ref
appTerm
appTerm
"Number.Natural.<"
const
9
ref
constTerm
1894
def
1793
ref
134
ref
appTerm
appTerm
1793
ref
782
ref
appTerm
appTerm
appTerm
absTerm
1895
def
782
ref
appTerm
1896
def
betaConv
39
ref
33
ref
1895
ref
appTerm
1897
def
absTerm
1898
def
134
ref
appTerm
1899
def
betaConv
1792
remove
33
ref
1898
ref
appTerm
1900
def
absTerm
1901
def
1793
remove
appTerm
1902
def
betaConv
nil
1799
remove
1901
ref
appTerm
1903
def
axiom
nil
67
ref
1903
remove
nil
cons
cons
68
ref
1902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1801
remove
1802
remove
1901
remove
nil
cons
cons
1803
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1900
remove
nil
cons
cons
68
ref
1899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1898
remove
nil
cons
cons
802
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1897
remove
nil
cons
cons
68
ref
1896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1895
remove
nil
cons
cons
803
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
1894
ref
refl
1904
def
nil
192
ref
1889
ref
cons
6
ref
1886
ref
cons
nil
cons
cons
nil
cons
cons
983
ref
560
ref
1350
ref
1777
remove
1351
remove
constTerm
568
ref
appTerm
appTerm
567
ref
appTerm
absTerm
1905
def
567
ref
appTerm
1906
def
betaConv
565
ref
573
ref
1905
ref
appTerm
1907
def
absTerm
1908
def
566
ref
appTerm
1909
def
betaConv
nil
33
ref
1908
ref
appTerm
1910
def
axiom
nil
67
ref
1910
remove
nil
cons
cons
68
ref
1909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
1908
remove
nil
cons
cons
578
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1907
remove
nil
cons
cons
68
ref
1906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
ref
579
ref
1905
remove
nil
cons
cons
581
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
1911
def
subst
appThm
1911
remove
appThm
trans
sym
436
ref
57
ref
1894
ref
763
remove
appTerm
1912
def
437
ref
appTerm
appTerm
1894
ref
437
ref
appTerm
1913
def
200
ref
appTerm
appTerm
absTerm
1914
def
407
ref
appTerm
betaConv
sym
nil
874
remove
68
ref
1912
ref
407
ref
appTerm
nil
cons
1915
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
436
ref
1886
remove
cons
1419
ref
237
ref
cons
nil
cons
1916
def
cons
nil
cons
cons
436
ref
441
ref
1894
ref
1423
ref
appTerm
437
ref
appTerm
appTerm
absTerm
1917
def
437
ref
appTerm
1918
def
betaConv
1419
ref
65
ref
1917
ref
appTerm
1919
def
absTerm
1920
def
1420
ref
appTerm
1921
def
betaConv
nil
65
ref
1920
ref
appTerm
1922
def
axiom
nil
67
ref
1922
remove
nil
cons
cons
68
ref
1921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1920
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1919
remove
nil
cons
cons
68
ref
1918
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1917
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1923
def
subst
eqMp
nil
67
ref
1915
remove
cons
68
ref
1894
ref
407
ref
appTerm
200
ref
appTerm
nil
cons
cons
nil
cons
1924
def
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
421
ref
1924
remove
cons
nil
cons
cons
129
ref
subst
1592
ref
1923
ref
subst
eqMp
eqMp
eqMp
23
ref
5
ref
1914
ref
nil
cons
cons
1888
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
1914
remove
appTerm
nil
cons
cons
68
ref
1912
remove
200
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1530
ref
237
ref
cons
1925
def
1419
ref
1889
remove
cons
nil
cons
cons
nil
cons
cons
1530
ref
69
ref
947
ref
436
ref
57
ref
1894
ref
1420
ref
appTerm
1926
def
437
ref
appTerm
1927
def
appTerm
1928
def
1913
ref
1534
ref
appTerm
1929
def
appTerm
1930
def
absTerm
1931
def
appTerm
1932
def
appTerm
1933
def
1926
ref
1534
ref
appTerm
1934
def
appTerm
1935
def
absTerm
1936
def
1534
ref
appTerm
1937
def
betaConv
1419
ref
65
ref
1936
ref
appTerm
1938
def
absTerm
1939
def
1420
ref
appTerm
1940
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
69
ref
1930
ref
appTerm
1934
ref
appTerm
absTerm
1941
def
appTerm
1942
def
absTerm
1943
def
appTerm
1944
def
absTerm
1945
def
appTerm
1946
def
axiom
nil
67
ref
1946
ref
nil
cons
1947
def
cons
1948
def
68
ref
65
ref
1939
ref
appTerm
nil
cons
1949
def
cons
nil
cons
cons
nil
cons
cons
1950
def
129
ref
subst
proveHyp
1950
ref
85
ref
subst
1950
remove
138
ref
subst
nil
5
ref
1939
remove
nil
cons
cons
1951
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
1938
remove
nil
cons
1952
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1936
remove
nil
cons
cons
1953
def
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
1935
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1932
remove
nil
cons
1954
def
cons
1955
def
68
ref
1934
ref
nil
cons
1956
def
cons
nil
cons
1957
def
cons
nil
cons
cons
1958
def
85
ref
subst
1958
remove
138
ref
subst
nil
1948
ref
1957
ref
cons
nil
cons
cons
1959
def
129
ref
subst
nil
1955
remove
68
ref
69
ref
1946
remove
appTerm
1934
ref
appTerm
1960
def
nil
cons
1961
def
cons
nil
cons
1962
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
436
ref
69
ref
1931
ref
437
ref
appTerm
1963
def
appTerm
1960
ref
appTerm
1964
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
1964
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1963
ref
nil
cons
1965
def
cons
1962
ref
cons
nil
cons
cons
1966
def
85
ref
subst
1966
remove
138
ref
subst
1963
ref
betaConv
1963
remove
assume
eqMp
nil
67
ref
1930
remove
nil
cons
1967
def
cons
1968
def
1962
remove
cons
nil
cons
cons
1969
def
129
ref
subst
proveHyp
1969
ref
85
ref
subst
1969
remove
138
ref
subst
1959
ref
85
ref
subst
1959
remove
138
ref
subst
nil
1968
remove
1957
ref
cons
nil
cons
cons
129
ref
subst
1941
ref
1534
ref
appTerm
1970
def
betaConv
1943
ref
437
ref
appTerm
1971
def
betaConv
1945
ref
1420
ref
appTerm
1972
def
betaConv
nil
1948
remove
68
ref
1972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
1945
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1944
remove
nil
cons
cons
68
ref
1971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1943
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1942
remove
nil
cons
cons
68
ref
1970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1941
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1947
remove
cons
1973
def
106
ref
1956
remove
cons
nil
cons
1974
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1967
remove
cons
106
ref
1961
remove
cons
nil
cons
1975
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1965
remove
cons
1975
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
1931
ref
1710
ref
appTerm
appTerm
1960
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
1933
remove
1960
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1931
remove
nil
cons
cons
1975
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1954
remove
cons
1974
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1973
remove
106
ref
1949
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
1949
remove
cons
68
ref
1940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1951
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1952
remove
cons
68
ref
1937
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1953
remove
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
67
ref
1891
ref
nil
cons
cons
1976
def
68
ref
69
ref
1892
ref
appTerm
1731
ref
appTerm
1977
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
1892
ref
nil
cons
1978
def
cons
1877
ref
cons
nil
cons
cons
1979
def
85
ref
subst
1979
remove
138
ref
subst
150
ref
1737
ref
absTerm
1980
def
407
ref
appTerm
betaConv
sym
58
ref
491
ref
appThm
58
ref
nil
1888
ref
nil
cons
cons
713
ref
subst
appThm
58
ref
447
ref
899
remove
appThm
490
ref
trans
appThm
nil
50
ref
1978
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
1892
remove
assume
eqMp
appThm
186
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
1980
ref
nil
cons
cons
1981
def
1888
remove
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
1980
ref
appTerm
1982
def
nil
cons
1983
def
cons
1984
def
1877
ref
cons
nil
cons
cons
1985
def
129
ref
subst
proveHyp
1985
ref
85
ref
subst
1985
remove
138
ref
subst
nil
67
ref
1757
ref
cons
1986
def
1877
ref
cons
nil
cons
cons
1987
def
129
ref
subst
nil
1984
remove
68
ref
69
ref
1743
remove
appTerm
1731
ref
appTerm
1988
def
nil
cons
1989
def
cons
nil
cons
1990
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
150
ref
69
ref
1980
ref
152
ref
appTerm
1991
def
appTerm
1988
ref
appTerm
1992
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
1992
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1991
ref
nil
cons
1993
def
cons
1990
ref
cons
nil
cons
cons
1994
def
85
ref
subst
1994
remove
138
ref
subst
1991
ref
betaConv
1991
remove
assume
eqMp
nil
67
ref
1737
remove
nil
cons
1995
def
cons
1996
def
1990
remove
cons
nil
cons
cons
1997
def
129
ref
subst
proveHyp
1997
ref
85
ref
subst
1997
remove
138
ref
subst
1987
ref
85
ref
subst
1987
remove
138
ref
subst
nil
1996
remove
1877
ref
cons
nil
cons
cons
129
ref
subst
1738
ref
152
ref
appTerm
1998
def
betaConv
1740
ref
200
ref
appTerm
1999
def
betaConv
1742
ref
19
ref
appTerm
2000
def
betaConv
nil
1986
remove
68
ref
2000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
1742
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1741
remove
nil
cons
cons
68
ref
1999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1740
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1739
remove
nil
cons
cons
68
ref
1998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1738
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1757
remove
cons
106
ref
1876
ref
cons
nil
cons
2001
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
1995
remove
cons
106
ref
1989
remove
cons
nil
cons
2002
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1993
remove
cons
2002
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
1980
remove
1710
ref
appTerm
appTerm
1988
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
1982
remove
appTerm
1988
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1981
remove
2002
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1983
remove
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
1978
ref
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
ref
1891
remove
appTerm
1977
remove
appTerm
nil
cons
cons
68
ref
69
ref
1893
remove
appTerm
1731
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
1876
ref
cons
2003
def
68
ref
1978
remove
cons
1976
remove
nil
cons
cons
cons
nil
cons
cons
nil
67
ref
75
ref
624
ref
appTerm
nil
cons
2004
def
cons
68
ref
1331
remove
618
ref
appTerm
nil
cons
2005
def
cons
nil
cons
cons
nil
cons
cons
2006
def
85
ref
subst
2006
remove
138
ref
subst
nil
467
remove
68
ref
618
ref
nil
cons
2007
def
cons
nil
cons
2008
def
cons
nil
cons
cons
2009
def
85
ref
subst
2009
remove
138
ref
subst
nil
105
remove
106
ref
624
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2010
def
120
ref
subst
129
ref
proveHyp
122
remove
eqMp
nil
461
remove
2008
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
2010
remove
224
ref
subst
eqMp
eqMp
nil
473
remove
106
ref
2007
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
2004
remove
cons
106
ref
2005
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2011
def
subst
eqMp
eqMp
eqMp
nil
104
ref
1874
remove
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
2012
def
deductAntisym
eqMp
eqMp
nil
907
remove
106
ref
1870
ref
cons
nil
cons
2013
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
806
ref
1871
ref
cons
nil
cons
cons
2014
def
85
ref
subst
2014
remove
138
ref
subst
1879
remove
1880
remove
nil
806
ref
1877
ref
cons
nil
cons
cons
129
ref
subst
891
remove
nil
894
remove
68
ref
770
remove
1731
ref
appTerm
2015
def
nil
cons
2016
def
cons
nil
cons
2017
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
492
ref
892
ref
refl
appThm
nil
50
ref
892
ref
nil
cons
2018
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
2015
remove
refl
appThm
sym
nil
67
ref
2018
ref
cons
2017
remove
cons
nil
cons
cons
2019
def
85
ref
subst
2019
remove
138
ref
subst
28
ref
"_29606"
2
ref
var
2020
def
69
ref
2020
remove
varTerm
appTerm
1731
ref
appTerm
absTerm
2021
def
757
ref
appTerm
2022
def
appTerm
refl
2021
ref
289
ref
appTerm
betaConv
appThm
108
ref
2022
remove
betaConv
appThm
69
ref
289
ref
appTerm
2023
def
1731
ref
appTerm
2024
def
refl
appThm
trans
2021
remove
refl
892
remove
assume
sym
appThm
eqMp
sym
nil
421
ref
68
ref
2024
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
2003
remove
68
ref
748
ref
cons
421
ref
nil
cons
cons
cons
nil
cons
cons
617
ref
28
ref
71
remove
624
remove
appTerm
appTerm
69
ref
76
remove
appTerm
618
ref
appTerm
appTerm
absTerm
2025
def
618
ref
appTerm
2026
def
betaConv
68
ref
165
ref
2025
ref
appTerm
2027
def
absTerm
2028
def
72
ref
appTerm
2029
def
betaConv
67
ref
165
ref
2028
ref
appTerm
2030
def
absTerm
2031
def
70
ref
appTerm
2032
def
betaConv
nil
165
ref
2031
ref
appTerm
2033
def
axiom
nil
67
ref
2033
remove
nil
cons
cons
68
ref
2032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2031
remove
nil
cons
cons
169
ref
97
ref
cons
nil
cons
2034
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2030
remove
nil
cons
cons
68
ref
2029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2028
remove
nil
cons
cons
169
ref
100
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2027
remove
nil
cons
cons
68
ref
2026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2025
remove
nil
cons
cons
169
ref
2007
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
50
ref
1732
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1733
ref
200
ref
appTerm
2035
def
betaConv
1735
ref
19
ref
appTerm
2036
def
betaConv
nil
67
ref
1756
remove
cons
68
ref
2036
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
1735
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1734
remove
nil
cons
cons
68
ref
2035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1733
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
nil
104
ref
2018
remove
cons
106
ref
2016
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
2012
remove
deductAntisym
eqMp
eqMp
nil
871
ref
2013
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
ref
757
ref
appTerm
2037
def
betaConv
606
ref
nil
607
ref
68
ref
2037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
777
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
871
ref
106
ref
873
remove
cons
612
ref
1870
remove
cons
nil
cons
2038
def
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
583
ref
2013
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
ref
1871
remove
cons
nil
cons
cons
2039
def
85
ref
subst
2039
remove
138
ref
subst
151
ref
149
ref
978
ref
149
ref
877
ref
151
ref
1825
ref
refl
1049
ref
refl
597
ref
appThm
appThm
appThm
1859
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
1727
remove
refl
597
ref
appThm
nil
50
ref
1728
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1729
ref
19
ref
appTerm
2040
def
betaConv
nil
67
ref
1754
remove
cons
68
ref
2040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
1729
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
trans
appThm
nil
50
ref
65
ref
978
ref
65
ref
877
ref
69
ref
1825
remove
1049
remove
17
ref
appTerm
appTerm
appTerm
1859
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1342
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
450
ref
2013
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
ref
nil
450
ref
611
ref
2038
remove
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
1866
remove
nil
cons
cons
1752
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
1867
remove
assume
eqMp
eqMp
nil
104
ref
1868
remove
cons
106
ref
1751
remove
cons
nil
cons
2041
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1804
remove
cons
2041
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
1746
remove
cons
2041
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2042
def
subst
eqMp
eqMp
2043
def
nil
67
ref
1715
remove
cons
68
ref
706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
705
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
704
remove
nil
cons
cons
68
ref
702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
701
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2044
def
appThm
2045
def
821
ref
appThm
240
ref
trans
absThm
appThm
185
ref
trans
absThm
appThm
185
ref
trans
sym
55
ref
eqMp
nil
65
ref
6
ref
65
ref
192
ref
59
ref
699
remove
appTerm
2046
def
19
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
2045
remove
417
ref
appThm
251
ref
trans
absThm
appThm
185
ref
trans
absThm
appThm
185
ref
trans
sym
55
ref
eqMp
nil
65
ref
6
ref
65
ref
192
ref
2046
remove
200
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
657
ref
absTerm
2047
def
appTerm
2048
def
absTerm
2049
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2048
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2047
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
658
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
661
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2049
remove
appTerm
thm
2043
remove
nil
1714
remove
thm
nil
5
ref
6
ref
343
ref
715
remove
appTerm
2050
def
362
remove
appTerm
2051
def
absTerm
2052
def
nil
cons
cons
2053
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2051
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
711
ref
eqMp
absThm
eqMp
2054
def
nil
65
ref
2052
ref
appTerm
2055
def
thm
841
ref
nil
65
ref
826
remove
appTerm
thm
842
remove
nil
843
remove
thm
nil
5
ref
6
ref
65
ref
192
ref
1632
remove
absTerm
2056
def
appTerm
2057
def
absTerm
2058
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2057
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2056
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
1633
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
1635
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2059
def
nil
65
ref
2058
remove
appTerm
thm
149
ref
6
ref
149
ref
192
ref
338
ref
1446
ref
nil
1464
ref
1916
ref
cons
nil
cons
cons
2060
def
1521
ref
subst
appThm
appThm
752
ref
appThm
absThm
appThm
absThm
appThm
sym
2059
remove
eqMp
2061
def
nil
65
ref
6
ref
65
ref
192
ref
10
ref
214
ref
1572
remove
19
ref
appTerm
2062
def
appTerm
2063
def
appTerm
215
ref
appTerm
absTerm
2064
def
appTerm
2065
def
absTerm
2066
def
appTerm
2067
def
thm
nil
5
ref
6
ref
65
ref
192
ref
10
ref
16
ref
1559
ref
appTerm
200
ref
appTerm
appTerm
215
ref
appTerm
2068
def
absTerm
2069
def
appTerm
2070
def
absTerm
2071
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2070
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2069
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2068
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
338
ref
nil
6
ref
1609
remove
cons
nil
cons
nil
cons
cons
661
ref
subst
appThm
661
ref
appThm
sym
632
ref
2064
ref
200
ref
appTerm
2072
def
betaConv
2066
ref
19
ref
appTerm
2073
def
betaConv
2061
remove
nil
67
ref
2067
remove
nil
cons
cons
68
ref
2073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2066
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2065
remove
nil
cons
cons
68
ref
2072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2064
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2074
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2071
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
10
ref
16
ref
2062
ref
appTerm
200
ref
appTerm
appTerm
215
ref
appTerm
2075
def
absTerm
2076
def
appTerm
2077
def
absTerm
2078
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2077
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2076
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2075
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
338
ref
nil
6
ref
2062
ref
nil
cons
cons
nil
cons
nil
cons
cons
661
ref
subst
appThm
661
ref
appThm
sym
632
ref
1635
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2078
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
2023
ref
59
ref
633
ref
152
ref
appTerm
2079
def
appTerm
2080
def
19
ref
appTerm
2081
def
appTerm
2082
def
absTerm
2083
def
appTerm
2084
def
absTerm
2085
def
appTerm
2086
def
absTerm
2087
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2086
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2085
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2084
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2083
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2082
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
748
ref
cons
2088
def
68
ref
2081
remove
nil
cons
2089
def
cons
nil
cons
2090
def
cons
nil
cons
cons
2091
def
85
ref
subst
2091
remove
138
ref
subst
877
ref
57
ref
2080
ref
878
ref
appTerm
appTerm
59
ref
878
ref
appTerm
2092
def
19
ref
appTerm
2093
def
appTerm
absTerm
2094
def
200
ref
appTerm
betaConv
sym
58
ref
nil
192
ref
153
ref
cons
2095
def
558
ref
cons
2096
def
nil
cons
cons
2097
def
240
ref
subst
2098
def
appThm
845
ref
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2094
ref
nil
cons
cons
238
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2094
remove
appTerm
nil
cons
cons
2090
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
6
ref
2079
ref
nil
cons
2099
def
cons
nil
cons
2100
def
cons
nil
cons
cons
150
ref
69
ref
947
ref
192
ref
287
remove
288
ref
152
ref
appTerm
2101
def
appTerm
2102
def
absTerm
2103
def
appTerm
2104
def
appTerm
2105
def
1570
ref
appTerm
2106
def
absTerm
2107
def
152
ref
appTerm
2108
def
betaConv
6
ref
65
ref
2107
ref
appTerm
2109
def
absTerm
2110
def
19
ref
appTerm
2111
def
betaConv
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
2102
ref
appTerm
1570
ref
appTerm
absTerm
2112
def
appTerm
2113
def
absTerm
2114
def
appTerm
2115
def
absTerm
2116
def
appTerm
2117
def
axiom
nil
67
ref
2117
ref
nil
cons
2118
def
cons
2119
def
68
ref
65
ref
2110
ref
appTerm
nil
cons
2120
def
cons
nil
cons
cons
nil
cons
cons
2121
def
129
ref
subst
proveHyp
2121
ref
85
ref
subst
2121
remove
138
ref
subst
nil
5
ref
2110
remove
nil
cons
cons
2122
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2109
remove
nil
cons
2123
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2107
remove
nil
cons
cons
2124
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2106
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2104
remove
nil
cons
2125
def
cons
2126
def
68
ref
1570
ref
nil
cons
2127
def
cons
nil
cons
2128
def
cons
nil
cons
cons
2129
def
85
ref
subst
2129
remove
138
ref
subst
nil
2119
ref
2128
ref
cons
nil
cons
cons
2130
def
129
ref
subst
nil
2126
remove
68
ref
69
ref
2117
remove
appTerm
1570
ref
appTerm
2131
def
nil
cons
2132
def
cons
nil
cons
2133
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
192
ref
69
ref
2103
ref
200
ref
appTerm
2134
def
appTerm
2131
ref
appTerm
2135
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2135
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2134
ref
nil
cons
2136
def
cons
2133
ref
cons
nil
cons
cons
2137
def
85
ref
subst
2137
remove
138
ref
subst
2134
ref
betaConv
2134
remove
assume
eqMp
nil
67
ref
2102
remove
nil
cons
2138
def
cons
2139
def
2133
remove
cons
nil
cons
cons
2140
def
129
ref
subst
proveHyp
2140
ref
85
ref
subst
2140
remove
138
ref
subst
2130
ref
85
ref
subst
2130
remove
138
ref
subst
nil
2139
remove
2128
remove
cons
nil
cons
cons
129
ref
subst
2112
ref
152
ref
appTerm
2141
def
betaConv
2114
ref
200
ref
appTerm
2142
def
betaConv
2116
ref
19
ref
appTerm
2143
def
betaConv
nil
2119
remove
68
ref
2143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
2116
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2115
remove
nil
cons
cons
68
ref
2142
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2114
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2113
remove
nil
cons
cons
68
ref
2141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2112
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
2118
remove
cons
2144
def
106
ref
2127
remove
cons
nil
cons
2145
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
2138
remove
cons
106
ref
2132
remove
cons
nil
cons
2146
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
2136
remove
cons
2146
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
2103
ref
1710
ref
appTerm
appTerm
2131
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
2105
remove
2131
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2103
remove
nil
cons
cons
2146
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
2125
remove
cons
2145
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2144
remove
106
ref
2120
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
2120
remove
cons
68
ref
2111
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2122
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2123
remove
cons
68
ref
2108
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2124
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2147
def
subst
eqMp
eqMp
nil
104
ref
748
remove
cons
2148
def
106
ref
2089
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2087
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
2023
remove
59
ref
1407
ref
appTerm
2149
def
19
ref
appTerm
2150
def
appTerm
2151
def
absTerm
2152
def
appTerm
2153
def
absTerm
2154
def
appTerm
2155
def
absTerm
2156
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2155
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2154
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2153
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2152
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2151
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
2088
ref
68
ref
2150
remove
nil
cons
2157
def
cons
nil
cons
2158
def
cons
nil
cons
cons
2159
def
85
ref
subst
2159
remove
138
ref
subst
877
ref
57
ref
2149
remove
878
ref
appTerm
appTerm
2093
ref
appTerm
absTerm
2160
def
200
ref
appTerm
betaConv
sym
58
ref
155
ref
251
ref
subst
appThm
845
remove
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2160
ref
nil
cons
cons
238
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2160
remove
appTerm
nil
cons
cons
2158
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
6
ref
1656
remove
cons
nil
cons
cons
nil
cons
cons
2147
ref
subst
eqMp
eqMp
nil
2148
ref
106
ref
2157
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2156
remove
appTerm
thm
nil
5
ref
192
ref
343
ref
334
ref
359
ref
appTerm
2161
def
200
ref
appTerm
appTerm
355
ref
359
ref
appTerm
2162
def
361
ref
appTerm
2163
def
appTerm
2164
def
absTerm
2165
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2164
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
707
ref
667
ref
416
ref
subst
appThm
2163
ref
refl
2166
def
appThm
sym
108
ref
"_29612"
328
ref
var
2167
def
343
ref
2167
remove
varTerm
appTerm
2163
ref
appTerm
absTerm
2168
def
353
remove
2163
ref
appTerm
150
ref
365
ref
366
remove
360
ref
367
ref
368
ref
359
ref
appTerm
2169
def
200
ref
appTerm
2170
def
appTerm
359
ref
appTerm
appTerm
appTerm
2171
def
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
2170
ref
appTerm
2172
def
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2173
def
399
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
404
remove
appTerm
appTerm
absTerm
2174
def
401
ref
359
ref
appTerm
2175
def
200
ref
appTerm
2176
def
appTerm
2177
def
appTerm
appTerm
betaConv
appThm
58
ref
69
ref
352
ref
appTerm
2178
def
refl
2168
ref
2163
ref
appTerm
betaConv
appThm
appThm
445
ref
refl
2168
ref
2177
ref
appTerm
betaConv
appThm
appThm
appThm
nil
773
remove
2177
ref
nil
cons
cons
774
remove
2163
ref
nil
cons
2179
def
cons
776
ref
449
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
778
remove
2168
remove
nil
cons
cons
nil
cons
nil
cons
cons
805
remove
subst
subst
eqMp
sym
nil
585
ref
68
ref
343
ref
2163
ref
appTerm
2163
ref
appTerm
2180
def
nil
cons
2181
def
cons
nil
cons
cons
nil
cons
cons
2182
def
85
ref
subst
2182
remove
138
ref
subst
2166
ref
eqMp
nil
450
ref
106
ref
2181
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
2178
remove
2180
remove
appTerm
nil
cons
cons
68
ref
445
ref
343
ref
2177
remove
appTerm
2163
ref
appTerm
2183
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
421
ref
68
ref
2183
remove
nil
cons
2184
def
cons
nil
cons
2185
def
cons
nil
cons
cons
2186
def
85
ref
subst
2186
remove
138
ref
subst
nil
67
ref
418
ref
351
ref
359
ref
appTerm
2187
def
appTerm
2188
def
nil
cons
2189
def
cons
2190
def
2185
ref
cons
nil
cons
cons
2191
def
85
ref
subst
2191
remove
138
ref
subst
nil
2190
ref
68
ref
1894
ref
359
ref
appTerm
2192
def
200
ref
appTerm
2193
def
nil
cons
2194
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
1419
ref
600
ref
10
ref
1420
ref
appTerm
2195
def
17
ref
appTerm
2196
def
appTerm
2197
def
947
ref
436
ref
2195
ref
1642
ref
appTerm
2198
def
absTerm
appTerm
appTerm
absTerm
2199
def
200
ref
appTerm
2200
def
betaConv
nil
65
ref
2199
ref
appTerm
2201
def
axiom
2202
def
nil
67
ref
2201
remove
nil
cons
cons
2203
def
68
ref
2200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2199
ref
nil
cons
cons
2204
def
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
600
ref
352
ref
appTerm
2205
def
947
ref
436
ref
351
ref
1642
ref
appTerm
2206
def
absTerm
2207
def
appTerm
2208
def
appTerm
nil
cons
cons
68
ref
69
ref
2188
remove
appTerm
2193
ref
appTerm
2209
def
nil
cons
2210
def
cons
nil
cons
2211
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
600
ref
refl
2212
def
488
ref
appThm
2213
def
2208
ref
refl
appThm
nil
50
ref
2208
ref
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
28
ref
600
ref
448
ref
appTerm
2214
def
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
2215
def
52
ref
appTerm
2216
def
betaConv
nil
165
ref
2215
ref
appTerm
2217
def
axiom
nil
67
ref
2217
remove
nil
cons
cons
68
ref
2216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2215
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2218
def
subst
trans
appThm
2209
ref
refl
appThm
sym
nil
5
ref
436
ref
69
ref
2207
ref
437
ref
appTerm
2219
def
appTerm
2209
ref
appTerm
2220
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
2220
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2219
ref
nil
cons
2221
def
cons
2211
ref
cons
nil
cons
cons
2222
def
85
ref
subst
2222
remove
138
ref
subst
2219
ref
betaConv
2219
remove
assume
eqMp
nil
67
ref
2206
ref
nil
cons
2223
def
cons
2211
remove
cons
nil
cons
cons
2224
def
129
ref
subst
proveHyp
2224
ref
85
ref
subst
2224
remove
138
ref
subst
28
ref
"_29622"
1
ref
var
2225
def
69
ref
418
ref
10
ref
2225
remove
varTerm
2226
def
appTerm
359
ref
appTerm
appTerm
appTerm
2192
ref
2226
remove
appTerm
appTerm
absTerm
2227
def
200
ref
appTerm
2228
def
appTerm
refl
2227
ref
1642
ref
appTerm
betaConv
appThm
108
ref
2228
remove
betaConv
appThm
69
ref
418
ref
10
ref
1642
ref
appTerm
2229
def
359
ref
appTerm
appTerm
appTerm
2192
ref
1642
ref
appTerm
appTerm
refl
appThm
trans
2227
remove
refl
2206
remove
assume
appThm
eqMp
sym
151
ref
447
ref
2229
ref
refl
nil
436
ref
194
ref
cons
2230
def
nil
cons
nil
cons
cons
2231
def
436
ref
10
ref
358
remove
437
ref
appTerm
2232
def
appTerm
1482
ref
"Number.Natural.bit0"
const
13
ref
constTerm
2233
def
437
ref
appTerm
2234
def
appTerm
2235
def
appTerm
absTerm
2236
def
437
ref
appTerm
2237
def
betaConv
nil
65
ref
2236
ref
appTerm
2238
def
axiom
nil
67
ref
2238
remove
nil
cons
cons
68
ref
2237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2236
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2239
def
subst
1482
ref
refl
2240
def
nil
10
ref
2233
ref
17
ref
appTerm
appTerm
2241
def
17
ref
appTerm
axiom
2242
def
appThm
2243
def
trans
2244
def
appThm
nil
2230
ref
1419
ref
1470
ref
cons
nil
cons
2245
def
cons
nil
cons
cons
436
ref
28
ref
10
ref
1493
ref
appTerm
2246
def
1642
ref
appTerm
appTerm
2195
remove
437
ref
appTerm
2247
def
appTerm
absTerm
2248
def
437
ref
appTerm
2249
def
betaConv
1419
ref
65
ref
2248
ref
appTerm
2250
def
absTerm
2251
def
1420
ref
appTerm
2252
def
betaConv
nil
65
ref
2251
ref
appTerm
2253
def
axiom
nil
67
ref
2253
remove
nil
cons
cons
68
ref
2252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2251
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2250
remove
nil
cons
cons
68
ref
2249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2248
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
appThm
1904
ref
2244
ref
appThm
1642
ref
refl
2254
def
appThm
nil
1419
ref
194
ref
cons
2255
def
nil
cons
2256
def
nil
cons
cons
436
ref
28
ref
1894
ref
1493
ref
appTerm
1642
ref
appTerm
appTerm
1927
ref
appTerm
absTerm
2257
def
437
ref
appTerm
2258
def
betaConv
1419
ref
65
ref
2257
ref
appTerm
2259
def
absTerm
2260
def
1420
ref
appTerm
2261
def
betaConv
nil
65
ref
2260
ref
appTerm
2262
def
axiom
nil
67
ref
2262
remove
nil
cons
cons
68
ref
2261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2260
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2259
remove
nil
cons
cons
68
ref
2258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2257
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
436
ref
28
ref
1894
ref
17
ref
appTerm
2263
def
437
ref
appTerm
appTerm
440
ref
appTerm
absTerm
2264
def
437
ref
appTerm
2265
def
betaConv
nil
65
ref
2264
ref
appTerm
2266
def
axiom
nil
67
ref
2266
remove
nil
cons
cons
68
ref
2265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2264
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2267
def
trans
trans
appThm
nil
50
ref
440
remove
nil
cons
cons
nil
cons
nil
cons
cons
178
ref
subst
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
2223
remove
cons
106
ref
2210
remove
cons
nil
cons
2268
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
2221
remove
cons
2268
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
2207
ref
1710
ref
appTerm
appTerm
2209
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
2208
remove
appTerm
2209
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2207
remove
nil
cons
cons
2268
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
2269
def
nil
67
ref
2194
ref
cons
2270
def
68
ref
10
ref
2176
ref
appTerm
359
ref
appTerm
2271
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1591
ref
1419
ref
629
ref
cons
2272
def
nil
cons
2273
def
cons
2274
def
nil
cons
cons
2275
def
1419
ref
69
ref
1927
ref
appTerm
2276
def
10
ref
1423
ref
appTerm
1420
ref
appTerm
appTerm
2277
def
absTerm
2278
def
1420
ref
appTerm
2279
def
betaConv
436
ref
65
ref
2278
ref
appTerm
2280
def
absTerm
2281
def
437
ref
appTerm
2282
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
2277
ref
absTerm
2283
def
appTerm
2284
def
absTerm
2285
def
appTerm
2286
def
axiom
nil
67
ref
2286
remove
nil
cons
2287
def
cons
2288
def
68
ref
65
ref
2281
ref
appTerm
nil
cons
2289
def
cons
nil
cons
cons
nil
cons
cons
2290
def
129
ref
subst
proveHyp
2290
ref
85
ref
subst
2290
remove
138
ref
subst
nil
5
ref
2281
remove
nil
cons
cons
2291
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
2280
remove
nil
cons
2292
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2278
remove
nil
cons
cons
2293
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
2277
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2283
ref
437
ref
appTerm
2294
def
betaConv
2285
ref
1420
ref
appTerm
2295
def
betaConv
nil
2288
remove
68
ref
2295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
2285
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2284
remove
nil
cons
cons
68
ref
2294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2283
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
2287
remove
cons
106
ref
2289
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
2289
remove
cons
68
ref
2282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2291
remove
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2292
remove
cons
68
ref
2279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2293
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2296
def
subst
eqMp
2297
def
28
ref
"_29624"
1
ref
var
2298
def
343
ref
2174
ref
2298
remove
varTerm
appTerm
appTerm
2163
ref
appTerm
absTerm
2299
def
2176
remove
appTerm
2300
def
appTerm
refl
2299
ref
359
ref
appTerm
betaConv
appThm
108
ref
2300
remove
betaConv
appThm
343
ref
2174
remove
359
ref
appTerm
2301
def
appTerm
2163
ref
appTerm
refl
appThm
trans
2299
remove
refl
2271
remove
assume
appThm
eqMp
sym
707
ref
2301
remove
betaConv
499
ref
2240
ref
2231
ref
1480
ref
subst
2302
def
appThm
58
ref
149
ref
436
ref
nil
130
ref
1642
ref
nil
cons
2303
def
cons
nil
cons
nil
cons
cons
713
ref
subst
absThm
appThm
185
ref
trans
appThm
58
ref
10
ref
1482
ref
17
ref
appTerm
2304
def
appTerm
2305
def
refl
2244
ref
appThm
nil
130
ref
2304
ref
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
appThm
58
ref
149
ref
436
ref
338
ref
2240
ref
436
ref
10
ref
2234
ref
appTerm
1496
ref
437
ref
appTerm
2306
def
appTerm
2307
def
absTerm
2308
def
437
ref
appTerm
2309
def
betaConv
2310
def
338
ref
2242
remove
appThm
2302
ref
appThm
nil
537
ref
nil
cons
cons
713
ref
subst
2311
def
trans
sym
55
ref
eqMp
nil
67
ref
2241
remove
1476
ref
17
ref
appTerm
appTerm
2312
def
nil
cons
cons
68
ref
65
ref
436
ref
69
ref
2307
ref
appTerm
10
ref
2233
ref
1642
ref
appTerm
2313
def
appTerm
2314
def
390
ref
1642
ref
appTerm
1642
ref
appTerm
appTerm
2315
def
appTerm
2316
def
absTerm
2317
def
appTerm
2318
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2317
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
2316
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2307
ref
nil
cons
2319
def
cons
68
ref
2315
remove
nil
cons
2320
def
cons
nil
cons
cons
nil
cons
cons
2321
def
85
ref
subst
2321
remove
138
ref
subst
338
ref
436
ref
2314
remove
1482
ref
2235
ref
appTerm
appTerm
absTerm
2322
def
437
ref
appTerm
2323
def
betaConv
nil
65
ref
2322
ref
appTerm
2324
def
axiom
nil
67
ref
2324
remove
nil
cons
cons
68
ref
2323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2322
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2325
def
2240
ref
2240
ref
2307
remove
assume
appThm
appThm
trans
appThm
nil
436
ref
2303
remove
cons
2326
def
2245
ref
cons
nil
cons
cons
436
ref
10
ref
390
ref
1493
ref
appTerm
437
ref
appTerm
appTerm
1482
ref
1505
ref
appTerm
2327
def
appTerm
absTerm
2328
def
437
ref
appTerm
2329
def
betaConv
1419
ref
65
ref
2328
ref
appTerm
2330
def
absTerm
2331
def
1420
ref
appTerm
2332
def
betaConv
nil
65
ref
2331
ref
appTerm
2333
def
axiom
nil
67
ref
2333
remove
nil
cons
cons
68
ref
2332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2331
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2330
remove
nil
cons
cons
68
ref
2329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2328
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2334
def
subst
2335
def
2240
ref
nil
2245
ref
nil
cons
cons
436
ref
10
ref
1504
ref
1642
ref
appTerm
appTerm
2327
ref
appTerm
absTerm
2336
def
437
ref
appTerm
2337
def
betaConv
1419
ref
65
ref
2336
ref
appTerm
2338
def
absTerm
2339
def
1420
ref
appTerm
2340
def
betaConv
nil
65
ref
2339
ref
appTerm
2341
def
axiom
nil
67
ref
2341
remove
nil
cons
cons
68
ref
2340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2339
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2338
remove
nil
cons
cons
68
ref
2337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2336
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2342
def
subst
appThm
2343
def
trans
appThm
nil
130
ref
1482
ref
1482
ref
2306
remove
appTerm
2344
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
2345
def
trans
sym
55
ref
eqMp
eqMp
nil
104
ref
2319
remove
cons
106
ref
2320
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
57
ref
2312
remove
appTerm
2318
remove
appTerm
nil
cons
cons
68
ref
65
ref
2308
ref
appTerm
nil
cons
2346
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
2308
ref
17
ref
appTerm
betaConv
appThm
149
ref
436
ref
151
ref
2310
ref
appThm
2308
ref
1642
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
149
ref
436
ref
2310
remove
absThm
appThm
appThm
nil
1638
remove
2308
remove
nil
cons
2347
def
cons
nil
cons
nil
cons
cons
1646
remove
subst
eqMp
eqMp
nil
67
ref
2346
remove
cons
68
ref
2309
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2347
remove
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2348
def
appThm
2349
def
appThm
2239
remove
2349
remove
trans
2350
def
appThm
nil
130
ref
2344
remove
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
absThm
appThm
185
ref
trans
appThm
149
ref
436
ref
338
ref
2240
ref
2350
remove
appThm
appThm
nil
2326
remove
nil
cons
nil
cons
cons
2348
remove
subst
2335
remove
trans
2343
remove
trans
appThm
2345
remove
trans
absThm
appThm
185
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
104
ref
65
ref
436
ref
2229
ref
1642
ref
appTerm
absTerm
appTerm
nil
cons
cons
106
ref
57
ref
2305
remove
359
ref
appTerm
2351
def
appTerm
57
ref
65
ref
436
ref
10
ref
2235
remove
appTerm
2232
ref
appTerm
absTerm
appTerm
2352
def
appTerm
65
ref
436
ref
10
ref
1482
ref
2232
ref
appTerm
appTerm
2313
remove
appTerm
absTerm
2353
def
appTerm
2354
def
appTerm
2355
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
proveHyp
2356
def
nil
104
ref
2351
remove
nil
cons
cons
106
ref
2355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2357
def
120
ref
subst
proveHyp
2358
def
trans
2359
def
nil
2255
ref
436
ref
629
ref
cons
2360
def
1530
ref
194
ref
cons
nil
cons
cons
cons
nil
cons
cons
28
ref
"_9323"
1
ref
var
2361
def
28
ref
10
ref
2361
remove
varTerm
appTerm
1534
ref
appTerm
appTerm
448
ref
appTerm
absTerm
2362
def
437
ref
appTerm
2363
def
appTerm
refl
2362
ref
1482
ref
1504
ref
1534
ref
appTerm
2364
def
appTerm
2365
def
appTerm
betaConv
appThm
108
ref
2363
remove
betaConv
appThm
28
ref
10
ref
2365
ref
appTerm
2366
def
1534
ref
appTerm
2367
def
appTerm
448
ref
appTerm
refl
appThm
trans
2362
remove
refl
2366
ref
437
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
50
ref
2367
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
28
ref
53
remove
448
ref
appTerm
2368
def
appTerm
602
ref
appTerm
absTerm
2369
def
52
ref
appTerm
2370
def
betaConv
nil
165
ref
2369
ref
appTerm
2371
def
axiom
nil
67
ref
2371
remove
nil
cons
cons
68
ref
2370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2369
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2372
def
subst
447
ref
nil
436
ref
1555
ref
cons
2373
def
1419
ref
2365
ref
nil
cons
2374
def
cons
nil
cons
cons
nil
cons
cons
2375
def
436
ref
28
ref
2247
ref
appTerm
57
ref
1594
ref
437
ref
appTerm
2376
def
appTerm
2377
def
1593
ref
437
ref
appTerm
2378
def
1420
ref
appTerm
2379
def
appTerm
2380
def
appTerm
2381
def
absTerm
2382
def
437
ref
appTerm
2383
def
betaConv
1419
ref
65
ref
2382
ref
appTerm
2384
def
absTerm
2385
def
1420
ref
appTerm
2386
def
betaConv
149
ref
1419
ref
149
ref
436
ref
2381
remove
assume
sym
28
ref
2380
remove
appTerm
2247
ref
appTerm
2387
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
65
ref
1419
ref
65
ref
436
ref
2387
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
67
ref
65
ref
2385
ref
appTerm
nil
cons
cons
68
ref
2386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2385
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2384
remove
nil
cons
cons
68
ref
2383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2382
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
nil
"t2"
2
ref
var
2388
def
1593
ref
1534
ref
appTerm
2365
ref
appTerm
nil
cons
cons
"t1"
2
ref
var
2389
def
1593
ref
2365
remove
appTerm
1534
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2388
ref
28
ref
418
ref
57
ref
2389
ref
varTerm
2390
def
appTerm
2388
ref
varTerm
2391
def
appTerm
appTerm
appTerm
600
ref
418
ref
2390
ref
appTerm
2392
def
appTerm
418
ref
2391
ref
appTerm
2393
def
appTerm
appTerm
absTerm
2394
def
2391
ref
appTerm
2395
def
betaConv
2389
ref
165
ref
2394
ref
appTerm
2396
def
absTerm
2397
def
2390
ref
appTerm
2398
def
betaConv
nil
165
ref
2397
ref
appTerm
2399
def
axiom
nil
67
ref
2399
remove
nil
cons
cons
68
ref
2398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2397
remove
nil
cons
cons
169
ref
2390
ref
nil
cons
cons
nil
cons
2400
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2396
remove
nil
cons
cons
68
ref
2395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2394
remove
nil
cons
cons
169
ref
2391
ref
nil
cons
cons
nil
cons
2401
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
trans
sym
2212
ref
2375
ref
436
ref
28
ref
418
ref
2376
ref
appTerm
appTerm
1913
ref
1420
ref
appTerm
2402
def
appTerm
absTerm
2403
def
437
ref
appTerm
2404
def
betaConv
1419
ref
65
ref
2403
ref
appTerm
2405
def
absTerm
2406
def
1420
ref
appTerm
2407
def
betaConv
nil
65
ref
2406
ref
appTerm
2408
def
axiom
nil
67
ref
2408
remove
nil
cons
cons
68
ref
2407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2406
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2405
remove
nil
cons
cons
68
ref
2404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2403
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2409
def
subst
nil
436
ref
2374
remove
cons
1419
ref
1555
ref
cons
nil
cons
2410
def
cons
nil
cons
cons
2411
def
436
ref
28
ref
1927
ref
appTerm
947
ref
"d"
1
ref
var
2412
def
438
ref
1504
ref
1482
ref
2412
ref
varTerm
2413
def
appTerm
2414
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2415
def
437
ref
appTerm
2416
def
betaConv
1419
ref
65
ref
2415
ref
appTerm
2417
def
absTerm
2418
def
1420
ref
appTerm
2419
def
betaConv
nil
65
ref
2418
ref
appTerm
2420
def
axiom
nil
67
ref
2420
remove
nil
cons
cons
68
ref
2419
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2418
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2417
remove
nil
cons
cons
68
ref
2416
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2415
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2421
def
subst
trans
976
ref
2412
ref
2366
ref
refl
nil
436
ref
2413
ref
nil
cons
2422
def
cons
2423
def
2410
ref
cons
nil
cons
cons
2342
ref
subst
appThm
absThm
appThm
trans
appThm
2411
remove
2409
ref
subst
2375
remove
2421
ref
subst
trans
976
ref
2412
ref
10
ref
1534
ref
appTerm
2424
def
refl
2425
def
nil
436
ref
2414
remove
nil
cons
cons
1419
ref
2364
ref
nil
cons
2426
def
cons
nil
cons
2427
def
cons
nil
cons
cons
2334
remove
subst
2240
ref
nil
2423
ref
2427
remove
cons
nil
cons
cons
2342
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
67
ref
600
ref
947
ref
2412
ref
2366
ref
1482
ref
390
ref
1534
ref
appTerm
2428
def
2413
ref
appTerm
appTerm
appTerm
2429
def
absTerm
2430
def
appTerm
2431
def
appTerm
947
ref
2412
ref
2424
ref
1482
ref
1482
ref
390
ref
2364
ref
appTerm
2413
ref
appTerm
appTerm
appTerm
appTerm
2432
def
absTerm
2433
def
appTerm
2434
def
appTerm
2435
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
refl
2436
def
nil
50
ref
418
ref
70
ref
appTerm
2437
def
nil
cons
2438
def
cons
nil
cons
nil
cons
cons
898
ref
subst
appThm
sym
2436
remove
98
ref
50
ref
28
ref
418
ref
602
ref
appTerm
appTerm
52
ref
appTerm
absTerm
2439
def
52
ref
appTerm
2440
def
betaConv
nil
165
ref
2439
ref
appTerm
2441
def
axiom
nil
67
ref
2441
remove
nil
cons
cons
68
ref
2440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2439
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2442
def
subst
appThm
nil
2034
ref
nil
cons
cons
1162
ref
543
ref
subst
2443
def
subst
trans
sym
55
ref
eqMp
eqMp
2444
def
subst
sym
nil
67
ref
418
ref
2435
remove
appTerm
2445
def
nil
cons
2446
def
cons
457
ref
cons
nil
cons
cons
2447
def
85
ref
subst
2447
remove
138
ref
subst
1515
ref
nil
1517
ref
457
ref
cons
nil
cons
cons
2448
def
129
ref
subst
proveHyp
2449
def
2448
ref
85
ref
subst
2450
def
2448
remove
138
ref
subst
2451
def
nil
"_9326"
1
ref
var
2452
def
1555
remove
cons
"_9325"
1
ref
var
2453
def
1519
ref
cons
nil
cons
cons
nil
cons
cons
436
ref
10
ref
390
ref
2453
remove
varTerm
2454
def
appTerm
437
ref
appTerm
appTerm
1496
ref
2454
ref
appTerm
appTerm
absTerm
2455
def
2452
remove
varTerm
2456
def
appTerm
2457
def
betaConv
1512
ref
2454
ref
appTerm
2458
def
betaConv
nil
1517
ref
68
ref
2458
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
1518
ref
130
ref
2454
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
2455
ref
appTerm
nil
cons
cons
68
ref
2457
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2455
remove
nil
cons
cons
130
ref
2456
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
67
ref
10
ref
2364
ref
appTerm
2459
def
2428
ref
1420
ref
appTerm
2460
def
appTerm
nil
cons
cons
68
ref
2366
ref
1482
ref
2460
ref
appTerm
appTerm
nil
cons
2461
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_9330"
1
ref
var
2462
def
2460
ref
nil
cons
cons
"_9329"
1
ref
var
2463
def
2426
remove
cons
nil
cons
cons
nil
cons
cons
nil
67
ref
10
ref
2463
remove
varTerm
2464
def
appTerm
2462
remove
varTerm
2465
def
appTerm
2466
def
nil
cons
2467
def
cons
68
ref
10
ref
1482
ref
2464
remove
appTerm
appTerm
1482
ref
2465
remove
appTerm
appTerm
nil
cons
2468
def
cons
nil
cons
cons
nil
cons
cons
2469
def
85
ref
subst
2469
remove
138
ref
subst
2240
ref
2466
remove
assume
appThm
eqMp
nil
104
ref
2467
remove
cons
106
ref
2468
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
67
ref
2461
remove
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_9327"
1
ref
var
2470
def
1519
ref
cons
nil
cons
nil
cons
cons
nil
67
ref
2366
remove
1482
ref
2428
ref
2470
remove
varTerm
2471
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
28
ref
2437
ref
appTerm
refl
98
remove
898
ref
subst
appThm
nil
169
ref
2438
remove
cons
nil
cons
nil
cons
cons
2443
ref
subst
trans
sym
55
ref
eqMp
2472
def
subst
2412
ref
418
ref
2429
remove
appTerm
absTerm
2473
def
2471
ref
appTerm
2474
def
betaConv
nil
67
ref
2431
remove
nil
cons
cons
68
ref
2434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
67
ref
458
ref
448
ref
appTerm
2475
def
nil
cons
2476
def
cons
2477
def
68
ref
28
ref
418
ref
600
ref
70
ref
appTerm
72
ref
appTerm
appTerm
appTerm
57
ref
2437
remove
appTerm
418
ref
72
ref
appTerm
2478
def
appTerm
appTerm
nil
cons
2479
def
cons
nil
cons
2480
def
cons
nil
cons
cons
2481
def
85
ref
subst
2481
remove
138
ref
subst
28
ref
"_534"
2
ref
var
2482
def
28
ref
418
ref
600
ref
2482
remove
varTerm
2483
def
appTerm
72
ref
appTerm
appTerm
appTerm
57
ref
418
ref
2483
remove
appTerm
appTerm
2478
ref
appTerm
appTerm
absTerm
2484
def
70
ref
appTerm
2485
def
appTerm
refl
2486
def
2484
ref
448
ref
appTerm
betaConv
appThm
108
ref
2485
remove
betaConv
appThm
2487
def
28
ref
418
ref
2214
ref
72
ref
appTerm
appTerm
appTerm
57
ref
489
ref
appTerm
2488
def
2478
ref
appTerm
appTerm
refl
appThm
trans
2484
remove
refl
2489
def
2475
remove
assume
2490
def
appThm
eqMp
sym
108
ref
447
ref
101
ref
2218
ref
subst
appThm
appThm
58
ref
490
ref
appThm
2491
def
2478
ref
refl
2492
def
appThm
nil
50
ref
2478
ref
nil
cons
2493
def
cons
nil
cons
nil
cons
cons
2494
def
172
ref
subst
2495
def
trans
appThm
nil
169
ref
2493
remove
cons
nil
cons
nil
cons
cons
2443
ref
subst
2496
def
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
2476
ref
cons
2497
def
106
ref
2479
ref
cons
nil
cons
2498
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
458
remove
40
ref
appTerm
2499
def
nil
cons
2500
def
cons
2501
def
2480
remove
cons
nil
cons
cons
2502
def
85
ref
subst
2502
remove
138
ref
subst
2486
remove
"_532"
2
ref
var
2503
def
28
ref
418
ref
600
ref
2503
remove
varTerm
2504
def
appTerm
72
ref
appTerm
appTerm
appTerm
57
ref
418
ref
2504
remove
appTerm
appTerm
2478
ref
appTerm
appTerm
absTerm
40
ref
appTerm
betaConv
appThm
2487
remove
28
ref
418
ref
600
ref
40
ref
appTerm
2505
def
72
ref
appTerm
appTerm
appTerm
57
ref
418
ref
40
ref
appTerm
2506
def
appTerm
2507
def
2478
ref
appTerm
appTerm
refl
appThm
trans
2489
remove
2499
remove
assume
2508
def
appThm
eqMp
sym
108
ref
447
ref
101
ref
50
ref
28
ref
2505
ref
52
ref
appTerm
appTerm
40
ref
appTerm
absTerm
2509
def
52
ref
appTerm
2510
def
betaConv
nil
165
ref
2509
ref
appTerm
2511
def
axiom
nil
67
ref
2511
remove
nil
cons
cons
68
ref
2510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2509
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2512
def
subst
appThm
nil
28
ref
2506
ref
appTerm
448
ref
appTerm
axiom
2513
def
trans
appThm
58
ref
2513
ref
appThm
2514
def
2492
remove
appThm
2494
remove
50
ref
28
ref
57
ref
448
ref
appTerm
2515
def
52
ref
appTerm
appTerm
448
ref
appTerm
absTerm
2516
def
52
ref
appTerm
2517
def
betaConv
nil
165
ref
2516
ref
appTerm
2518
def
axiom
nil
67
ref
2518
remove
nil
cons
cons
68
ref
2517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2516
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2519
def
subst
2520
def
trans
appThm
900
ref
50
ref
28
ref
484
ref
52
ref
appTerm
appTerm
602
remove
appTerm
absTerm
2521
def
52
ref
appTerm
2522
def
betaConv
nil
165
ref
2521
ref
appTerm
2523
def
axiom
nil
67
ref
2523
remove
nil
cons
cons
68
ref
2522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2521
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2524
def
subst
490
ref
trans
2525
def
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
2500
remove
cons
2526
def
2498
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
50
ref
600
ref
54
ref
appTerm
2368
remove
appTerm
absTerm
2527
def
70
ref
appTerm
2528
def
betaConv
nil
165
ref
2527
ref
appTerm
2529
def
axiom
2530
def
nil
67
ref
2529
remove
nil
cons
cons
2531
def
68
ref
2528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2527
ref
nil
cons
cons
2532
def
2034
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2533
def
nil
2526
ref
106
ref
2476
remove
cons
2534
def
612
ref
2479
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
subst
58
ref
nil
5
ref
2430
ref
nil
cons
cons
nil
cons
nil
cons
cons
25
ref
108
ref
447
ref
1207
remove
nil
1208
remove
35
remove
nil
cons
2535
def
cons
nil
cons
nil
cons
cons
1209
remove
1211
ref
1213
ref
1214
ref
appTerm
1215
remove
appTerm
2536
def
absTerm
2537
def
1214
remove
appTerm
2538
def
betaConv
1219
ref
refl
2539
def
1211
remove
2536
remove
assume
sym
1216
remove
assume
sym
deductAntisym
absThm
appThm
1221
remove
eqMp
nil
67
ref
1219
ref
2537
ref
appTerm
nil
cons
cons
68
ref
2538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1222
ref
1223
ref
2537
remove
nil
cons
cons
1225
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
appThm
appThm
appThm
33
ref
39
ref
418
ref
135
remove
appTerm
absTerm
appTerm
refl
appThm
sym
nil
37
ref
2535
remove
cons
nil
cons
nil
cons
cons
37
remove
28
ref
418
ref
1228
remove
appTerm
appTerm
33
ref
39
ref
418
ref
783
remove
appTerm
absTerm
appTerm
appTerm
absTerm
2540
def
38
remove
appTerm
2541
def
betaConv
nil
796
remove
2540
ref
appTerm
2542
def
axiom
nil
67
ref
2542
remove
nil
cons
cons
68
ref
2541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
798
remove
799
remove
2540
remove
nil
cons
cons
801
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
subst
2543
def
subst
149
ref
2412
ref
447
ref
2430
remove
2413
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
5
ref
2433
ref
nil
cons
cons
nil
cons
nil
cons
cons
2543
ref
subst
149
ref
2412
ref
447
ref
2433
remove
2413
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
2445
remove
assume
eqMp
nil
104
ref
65
ref
2473
ref
appTerm
nil
cons
2544
def
cons
106
ref
65
ref
2412
ref
418
ref
2432
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
proveHyp
nil
67
ref
2544
remove
cons
68
ref
2474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2473
remove
nil
cons
cons
130
ref
2471
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
104
ref
1516
remove
cons
2545
def
106
ref
456
remove
cons
nil
cons
2546
def
cons
nil
cons
cons
120
ref
subst
2547
def
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
2446
remove
cons
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
2359
remove
eqMp
2548
def
appThm
2549
def
2171
ref
refl
appThm
759
ref
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
760
ref
2173
remove
395
ref
392
ref
396
ref
359
ref
appTerm
2550
def
appTerm
2551
def
383
ref
appTerm
appTerm
2552
def
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
2161
remove
refl
nil
1591
ref
nil
cons
nil
cons
cons
2553
def
436
ref
10
ref
401
ref
437
ref
appTerm
2554
def
359
ref
appTerm
appTerm
17
ref
appTerm
absTerm
2555
def
437
ref
appTerm
2556
def
betaConv
nil
65
ref
2555
ref
appTerm
2557
def
axiom
nil
67
ref
2557
remove
nil
cons
cons
68
ref
2556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2555
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2558
def
subst
appThm
667
remove
711
ref
subst
trans
appThm
nil
379
ref
194
ref
cons
378
ref
629
ref
cons
696
remove
nil
cons
2559
def
cons
cons
nil
cons
cons
379
ref
343
ref
376
ref
"_29644"
348
remove
var
2560
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
343
ref
2560
remove
varTerm
385
ref
appTerm
appTerm
380
ref
357
ref
2552
ref
appTerm
391
ref
2172
ref
2552
remove
appTerm
appTerm
appTerm
appTerm
2561
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2562
def
appTerm
2563
def
385
ref
appTerm
appTerm
2561
ref
appTerm
absTerm
2564
def
383
ref
appTerm
2565
def
betaConv
378
ref
65
ref
2564
ref
appTerm
2566
def
absTerm
2567
def
381
ref
appTerm
2568
def
betaConv
190
ref
65
ref
2567
ref
appTerm
2569
def
absTerm
2570
def
196
ref
appTerm
2571
def
betaConv
2562
ref
2563
remove
appTerm
2572
def
betaConv
2562
ref
"_29642"
328
ref
var
2573
def
355
ref
1044
ref
2573
remove
varTerm
2574
def
appTerm
appTerm
357
ref
390
ref
1052
ref
1057
ref
2574
remove
appTerm
2575
def
appTerm
appTerm
2551
ref
1059
ref
2575
remove
appTerm
2576
def
appTerm
appTerm
2577
def
appTerm
390
ref
2576
remove
appTerm
2172
ref
2577
remove
appTerm
appTerm
appTerm
appTerm
absTerm
2578
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
343
ref
2578
ref
385
ref
appTerm
2579
def
appTerm
2561
remove
appTerm
2580
def
absTerm
2581
def
appTerm
2582
def
absTerm
2583
def
appTerm
2584
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
2584
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2583
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
2582
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2581
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
2580
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2579
remove
betaConv
343
ref
"_29638"
1
ref
var
2585
def
380
ref
357
ref
395
ref
2551
ref
2585
ref
varTerm
2586
def
appTerm
2587
def
appTerm
2588
def
appTerm
390
ref
2586
remove
appTerm
2589
def
2172
ref
2588
remove
appTerm
appTerm
appTerm
appTerm
absTerm
383
ref
appTerm
2590
def
appTerm
refl
2585
ref
1076
ref
357
ref
1079
ref
2587
ref
appTerm
2591
def
appTerm
2589
ref
2172
ref
2591
remove
appTerm
appTerm
appTerm
appTerm
absTerm
2592
def
1082
ref
appTerm
betaConv
appThm
707
ref
2590
remove
betaConv
appThm
1076
ref
357
ref
1079
remove
2551
ref
1082
ref
appTerm
appTerm
2593
def
appTerm
1084
remove
2172
ref
2593
remove
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1085
remove
"_29637"
1
ref
var
2594
def
2585
ref
380
ref
357
ref
390
ref
2594
ref
varTerm
appTerm
2587
remove
appTerm
2595
def
appTerm
2589
remove
2172
ref
2595
remove
appTerm
appTerm
appTerm
2596
def
appTerm
absTerm
absTerm
381
ref
appTerm
2597
def
appTerm
refl
2594
ref
2585
ref
1076
remove
2596
ref
appTerm
absTerm
absTerm
2598
def
1078
ref
appTerm
betaConv
appThm
1091
remove
2597
remove
betaConv
appThm
2592
remove
refl
appThm
trans
1092
remove
"_29636"
1
ref
var
2599
def
2594
remove
2585
remove
355
ref
2599
remove
varTerm
appTerm
2596
remove
appTerm
absTerm
absTerm
absTerm
2600
def
196
ref
appTerm
2601
def
appTerm
refl
2600
ref
1075
ref
appTerm
betaConv
appThm
1096
remove
2601
remove
betaConv
appThm
2598
remove
refl
appThm
trans
2600
remove
refl
1345
ref
appThm
eqMp
1376
ref
appThm
eqMp
1381
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1382
remove
1383
remove
2562
ref
nil
cons
2602
def
cons
1385
remove
2578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
1386
remove
2562
remove
appTerm
nil
cons
cons
68
ref
2572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1387
remove
2602
remove
cons
nil
cons
nil
cons
cons
1388
remove
subst
eqMp
eqMp
nil
67
ref
65
ref
2570
ref
appTerm
nil
cons
cons
68
ref
2571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2570
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2569
remove
nil
cons
cons
68
ref
2568
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2567
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2566
remove
nil
cons
cons
68
ref
2565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2564
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2162
ref
refl
2603
def
927
ref
390
ref
359
ref
appTerm
2604
def
refl
2605
def
nil
1419
ref
2550
remove
nil
cons
cons
nil
cons
nil
cons
cons
1419
ref
10
ref
1497
ref
17
ref
appTerm
appTerm
17
ref
appTerm
absTerm
2606
def
1420
ref
appTerm
2607
def
betaConv
nil
65
ref
2606
ref
appTerm
2608
def
axiom
nil
67
ref
2608
remove
nil
cons
cons
68
ref
2607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2606
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2609
def
subst
appThm
nil
2273
ref
nil
cons
cons
2610
def
1419
ref
10
ref
1504
ref
17
ref
appTerm
appTerm
1420
ref
appTerm
absTerm
2611
def
1420
ref
appTerm
2612
def
betaConv
nil
65
ref
2611
ref
appTerm
2613
def
axiom
nil
67
ref
2613
remove
nil
cons
cons
68
ref
2612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2611
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2614
def
subst
2615
def
trans
2616
def
appThm
nil
436
ref
2172
ref
2604
ref
2551
remove
17
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1480
ref
subst
2172
remove
refl
2616
remove
appThm
nil
1419
ref
2170
ref
nil
cons
2617
def
cons
nil
cons
nil
cons
cons
1419
ref
10
ref
1497
ref
359
ref
appTerm
appTerm
1420
ref
appTerm
absTerm
2618
def
1420
ref
appTerm
2619
def
betaConv
nil
65
ref
2618
ref
appTerm
2620
def
axiom
nil
67
ref
2620
remove
nil
cons
cons
68
ref
2619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2618
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2621
def
subst
trans
trans
appThm
appThm
trans
trans
appThm
nil
501
ref
2162
ref
360
ref
2170
ref
appTerm
2622
def
appTerm
nil
cons
cons
502
ref
2171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
526
ref
subst
trans
trans
appThm
2166
remove
appThm
nil
"b'"
325
remove
var
2623
def
598
remove
cons
978
ref
629
ref
cons
2624
def
556
ref
2622
remove
nil
cons
cons
666
ref
cons
cons
cons
nil
cons
cons
955
remove
"b'"
539
remove
var
2625
def
28
ref
963
remove
568
remove
appTerm
564
remove
"a'"
30
ref
var
2626
def
varTerm
2627
def
appTerm
2625
remove
varTerm
2628
def
appTerm
appTerm
appTerm
57
ref
509
ref
566
ref
appTerm
2627
ref
appTerm
appTerm
1350
ref
567
ref
appTerm
2628
ref
appTerm
appTerm
appTerm
absTerm
2629
def
2628
ref
appTerm
2630
def
betaConv
2626
remove
573
ref
2629
ref
appTerm
2631
def
absTerm
2632
def
2627
ref
appTerm
2633
def
betaConv
560
remove
33
ref
2632
ref
appTerm
2634
def
absTerm
2635
def
567
remove
appTerm
2636
def
betaConv
565
remove
573
ref
2635
ref
appTerm
2637
def
absTerm
2638
def
566
ref
appTerm
2639
def
betaConv
nil
33
ref
2638
ref
appTerm
2640
def
axiom
nil
67
ref
2640
remove
nil
cons
cons
68
ref
2639
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
2638
remove
nil
cons
cons
578
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2637
remove
nil
cons
cons
68
ref
2636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
ref
579
ref
2635
remove
nil
cons
cons
581
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2634
remove
nil
cons
cons
68
ref
2633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
2632
remove
nil
cons
cons
39
ref
2627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2631
remove
nil
cons
cons
68
ref
2630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
547
remove
579
remove
2629
remove
nil
cons
cons
580
remove
2628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2641
def
subst
2642
def
subst
58
ref
nil
130
ref
629
ref
cons
nil
cons
2643
def
nil
cons
cons
713
ref
subst
2644
def
appThm
2645
def
nil
877
ref
194
ref
cons
2624
remove
192
ref
2617
remove
cons
666
ref
cons
cons
cons
nil
cons
cons
983
ref
2641
remove
subst
2646
def
subst
2645
remove
10
ref
2170
remove
appTerm
17
ref
appTerm
2647
def
refl
appThm
nil
50
ref
2647
remove
nil
cons
2648
def
cons
nil
cons
nil
cons
cons
172
ref
subst
2649
def
trans
trans
appThm
2649
remove
trans
trans
trans
sym
nil
2270
ref
68
ref
2648
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
2275
ref
436
ref
2276
ref
10
ref
1421
ref
appTerm
17
ref
appTerm
2650
def
appTerm
absTerm
2651
def
437
ref
appTerm
2652
def
betaConv
1419
ref
65
ref
2651
ref
appTerm
2653
def
absTerm
2654
def
1420
ref
appTerm
2655
def
betaConv
nil
65
ref
2654
ref
appTerm
2656
def
axiom
nil
67
ref
2656
remove
nil
cons
cons
68
ref
2655
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2654
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2653
remove
nil
cons
cons
68
ref
2652
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2651
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
2189
ref
cons
2657
def
106
ref
2184
ref
cons
nil
cons
2658
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
2187
ref
nil
cons
2659
def
cons
2660
def
2185
remove
cons
nil
cons
cons
2661
def
85
ref
subst
2661
remove
138
ref
subst
28
ref
"_29618"
1
ref
var
2662
def
343
ref
150
ref
365
ref
355
ref
2662
remove
varTerm
2663
def
appTerm
360
ref
367
ref
2169
ref
2663
ref
appTerm
2664
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
2664
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
395
ref
392
ref
368
ref
2663
ref
appTerm
152
ref
appTerm
appTerm
383
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
400
ref
401
ref
2663
ref
appTerm
152
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2175
ref
2663
remove
appTerm
appTerm
appTerm
2163
ref
appTerm
absTerm
2665
def
200
ref
appTerm
2666
def
appTerm
refl
2665
ref
359
ref
appTerm
betaConv
appThm
108
ref
2666
remove
betaConv
appThm
343
ref
150
ref
365
ref
2162
ref
360
ref
367
ref
2169
ref
359
ref
appTerm
2667
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
ref
380
ref
389
ref
391
ref
392
ref
2667
remove
appTerm
388
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2668
def
395
ref
392
ref
2169
ref
152
ref
appTerm
appTerm
383
ref
appTerm
appTerm
2669
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
400
ref
2175
ref
152
ref
appTerm
appTerm
2670
def
appTerm
appTerm
absTerm
2175
ref
359
ref
appTerm
2671
def
appTerm
2672
def
appTerm
2163
remove
appTerm
refl
appThm
trans
2665
remove
refl
2187
ref
assume
2673
def
appThm
eqMp
sym
2672
remove
betaConv
499
ref
338
ref
nil
2360
ref
nil
cons
nil
cons
cons
2674
def
2558
ref
subst
2675
def
appThm
921
ref
appThm
2311
ref
trans
appThm
2603
ref
360
ref
refl
2676
def
367
ref
refl
2677
def
2674
ref
436
ref
10
ref
368
ref
437
ref
appTerm
359
ref
appTerm
appTerm
437
ref
appTerm
absTerm
2678
def
437
ref
appTerm
2679
def
betaConv
nil
65
ref
2678
ref
appTerm
2680
def
axiom
nil
67
ref
2680
remove
nil
cons
cons
68
ref
2679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2678
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2681
def
subst
2682
def
appThm
662
ref
appThm
2674
ref
436
ref
10
ref
367
ref
437
ref
appTerm
437
ref
appTerm
appTerm
17
ref
appTerm
absTerm
2683
def
437
ref
appTerm
2684
def
betaConv
nil
65
ref
2683
ref
appTerm
2685
def
axiom
nil
67
ref
2685
remove
nil
cons
cons
68
ref
2684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2683
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
appThm
appThm
759
ref
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
760
ref
2668
remove
395
ref
392
ref
2169
ref
2671
remove
appTerm
appTerm
383
ref
appTerm
appTerm
appTerm
betaConv
926
ref
927
ref
928
ref
929
ref
2169
ref
refl
2686
def
2675
ref
appThm
appThm
931
ref
appThm
appThm
2687
def
appThm
933
ref
929
ref
2682
remove
appThm
2687
remove
appThm
appThm
appThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
935
ref
2675
ref
appThm
2175
ref
refl
2688
def
2675
remove
appThm
appThm
appThm
appThm
nil
501
ref
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
380
ref
357
ref
395
ref
392
ref
2169
ref
17
ref
appTerm
appTerm
383
ref
appTerm
appTerm
2689
def
appTerm
2690
def
391
ref
392
ref
359
ref
appTerm
2691
def
2689
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
335
remove
2175
remove
17
ref
appTerm
appTerm
2692
def
appTerm
nil
cons
cons
502
ref
2179
remove
cons
nil
cons
cons
nil
cons
cons
505
ref
554
ref
subst
2693
def
subst
trans
trans
eqMp
eqMp
nil
104
ref
2659
ref
cons
2694
def
2658
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
ref
2187
ref
appTerm
2695
def
betaConv
606
ref
nil
607
ref
68
ref
2695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
2659
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2696
def
nil
2694
ref
106
ref
2189
remove
cons
2697
def
612
ref
2184
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
583
ref
2658
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
65
ref
2165
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
10
ref
16
ref
215
ref
appTerm
152
ref
appTerm
2698
def
appTerm
214
ref
2079
ref
appTerm
2699
def
appTerm
2700
def
absTerm
2701
def
appTerm
2702
def
absTerm
2703
def
appTerm
2704
def
absTerm
2705
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2704
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2703
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2702
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2701
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2700
remove
nil
cons
2706
def
cons
nil
cons
nil
cons
cons
56
ref
subst
877
ref
57
ref
59
ref
2698
ref
appTerm
2707
def
878
ref
appTerm
appTerm
2708
def
2093
remove
appTerm
absTerm
2709
def
215
ref
appTerm
betaConv
sym
58
ref
nil
2095
ref
285
ref
cons
nil
cons
cons
2710
def
240
ref
subst
appThm
2711
def
240
ref
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2709
ref
nil
cons
cons
846
remove
nil
cons
2712
def
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2709
remove
appTerm
nil
cons
cons
68
ref
2707
ref
19
ref
appTerm
2713
def
nil
cons
2714
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
6
ref
2698
ref
nil
cons
2715
def
cons
nil
cons
2716
def
cons
nil
cons
cons
2147
ref
subst
eqMp
nil
67
ref
2714
remove
cons
68
ref
2707
ref
2079
ref
appTerm
2717
def
nil
cons
cons
nil
cons
2718
def
cons
nil
cons
cons
138
ref
subst
proveHyp
877
ref
2708
remove
2092
ref
200
ref
appTerm
2719
def
appTerm
absTerm
2720
def
215
ref
appTerm
betaConv
sym
2711
remove
251
ref
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2720
ref
nil
cons
cons
2712
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2720
remove
appTerm
nil
cons
cons
68
ref
2707
ref
200
ref
appTerm
2721
def
nil
cons
2722
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1568
ref
2716
ref
cons
nil
cons
cons
2147
ref
subst
eqMp
nil
67
ref
2722
remove
cons
68
ref
2707
ref
152
ref
appTerm
2723
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
2710
remove
251
ref
subst
sym
55
ref
eqMp
eqMp
nil
67
ref
57
ref
2721
remove
appTerm
2723
remove
appTerm
nil
cons
cons
2718
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2095
ref
557
ref
150
ref
2715
remove
cons
nil
cons
2724
def
cons
cons
nil
cons
cons
283
ref
subst
eqMp
eqMp
nil
67
ref
57
ref
2713
remove
appTerm
2717
remove
appTerm
nil
cons
cons
68
ref
2707
remove
2699
ref
appTerm
2725
def
nil
cons
2726
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
2099
ref
cons
2727
def
2724
remove
cons
nil
cons
cons
283
ref
subst
eqMp
nil
67
ref
2726
remove
cons
68
ref
59
ref
2699
ref
appTerm
2728
def
2698
remove
appTerm
2729
def
nil
cons
cons
nil
cons
2730
def
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
2727
remove
nil
cons
nil
cons
cons
2731
def
240
ref
subst
sym
55
ref
eqMp
nil
67
ref
2728
ref
19
ref
appTerm
2732
def
nil
cons
cons
68
ref
2728
ref
200
ref
appTerm
2733
def
nil
cons
cons
nil
cons
2734
def
cons
nil
cons
cons
138
ref
subst
proveHyp
877
ref
57
ref
2728
ref
878
ref
appTerm
appTerm
2735
def
2719
ref
appTerm
absTerm
2736
def
2079
ref
appTerm
betaConv
sym
58
ref
2731
remove
251
ref
subst
appThm
2737
def
2098
remove
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2736
ref
nil
cons
cons
130
ref
2099
ref
cons
nil
cons
2738
def
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2736
remove
appTerm
nil
cons
cons
2734
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1568
ref
6
ref
2699
remove
nil
cons
2739
def
cons
nil
cons
2740
def
cons
nil
cons
cons
2147
ref
subst
eqMp
eqMp
nil
67
ref
57
ref
2732
remove
appTerm
2733
remove
appTerm
nil
cons
cons
68
ref
2728
ref
215
ref
appTerm
2741
def
nil
cons
2742
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
2739
ref
cons
nil
cons
2743
def
nil
cons
cons
283
ref
subst
eqMp
nil
67
ref
2742
remove
cons
68
ref
2728
remove
152
ref
appTerm
2744
def
nil
cons
cons
nil
cons
2745
def
cons
nil
cons
cons
138
ref
subst
proveHyp
877
ref
2735
remove
2092
ref
152
ref
appTerm
2746
def
appTerm
absTerm
2747
def
2079
ref
appTerm
betaConv
sym
2737
remove
2097
ref
251
ref
subst
2748
def
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
2747
ref
nil
cons
cons
2738
remove
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
2747
remove
appTerm
nil
cons
cons
2745
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2740
remove
nil
cons
cons
2147
ref
subst
eqMp
eqMp
nil
67
ref
57
ref
2741
remove
appTerm
2744
remove
appTerm
nil
cons
cons
2730
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2095
ref
284
ref
2743
remove
cons
cons
nil
cons
cons
283
ref
subst
eqMp
eqMp
nil
67
ref
57
ref
2725
remove
appTerm
2729
remove
appTerm
nil
cons
cons
68
ref
2706
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
2739
remove
cons
2716
remove
cons
nil
cons
cons
298
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2705
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
69
ref
1606
ref
200
ref
appTerm
2749
def
appTerm
2750
def
10
ref
214
ref
1611
ref
19
ref
appTerm
2751
def
appTerm
2752
def
appTerm
215
ref
appTerm
2753
def
appTerm
2754
def
absTerm
2755
def
appTerm
2756
def
absTerm
2757
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2756
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2755
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2754
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2749
ref
nil
cons
2758
def
cons
2759
def
68
ref
2753
remove
nil
cons
2760
def
cons
nil
cons
2761
def
cons
nil
cons
cons
2762
def
85
ref
subst
2762
remove
138
ref
subst
241
remove
57
ref
228
ref
2751
ref
appTerm
2763
def
appTerm
65
ref
150
ref
69
ref
203
remove
157
ref
2751
ref
appTerm
2764
def
appTerm
2765
def
appTerm
272
ref
appTerm
2766
def
absTerm
2767
def
appTerm
2768
def
appTerm
2769
def
refl
appThm
nil
50
ref
2769
ref
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
58
ref
nil
50
ref
2758
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
2749
ref
assume
eqMp
appThm
58
ref
251
ref
appThm
240
ref
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
2749
ref
appTerm
57
ref
242
remove
appTerm
229
ref
appTerm
appTerm
nil
cons
cons
68
ref
2763
remove
nil
cons
2770
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
285
ref
cons
nil
cons
cons
1621
remove
subst
eqMp
nil
67
ref
2770
remove
cons
68
ref
2768
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2767
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2766
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2765
remove
nil
cons
2771
def
cons
1585
remove
cons
nil
cons
cons
2772
def
85
ref
subst
2772
remove
138
ref
subst
nil
645
remove
106
ref
2764
ref
nil
cons
2773
def
cons
nil
cons
cons
nil
cons
cons
2774
def
120
ref
subst
2774
remove
224
ref
subst
1590
ref
58
ref
nil
50
ref
2773
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
2764
ref
assume
eqMp
appThm
653
ref
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
2764
remove
appTerm
158
ref
appTerm
nil
cons
cons
68
ref
157
ref
390
ref
2751
ref
appTerm
19
ref
appTerm
2775
def
appTerm
2776
def
nil
cons
2777
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
192
ref
2751
remove
nil
cons
cons
2778
def
154
ref
cons
cons
nil
cons
cons
1582
remove
subst
eqMp
nil
67
ref
2777
ref
cons
1589
ref
cons
nil
cons
cons
129
ref
subst
1622
remove
nil
2759
ref
68
ref
10
ref
2775
remove
appTerm
200
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
2060
ref
1419
ref
69
ref
2379
ref
appTerm
2779
def
10
ref
390
ref
367
ref
1420
ref
appTerm
437
ref
appTerm
2780
def
appTerm
437
ref
appTerm
appTerm
1420
ref
appTerm
appTerm
2781
def
absTerm
2782
def
1420
ref
appTerm
2783
def
betaConv
436
ref
65
ref
2782
ref
appTerm
2784
def
absTerm
2785
def
437
ref
appTerm
2786
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
2781
ref
absTerm
2787
def
appTerm
2788
def
absTerm
2789
def
appTerm
2790
def
axiom
nil
67
ref
2790
remove
nil
cons
2791
def
cons
2792
def
68
ref
65
ref
2785
ref
appTerm
nil
cons
2793
def
cons
nil
cons
cons
nil
cons
cons
2794
def
129
ref
subst
proveHyp
2794
ref
85
ref
subst
2794
remove
138
ref
subst
nil
5
ref
2785
remove
nil
cons
cons
2795
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
2784
remove
nil
cons
2796
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2782
remove
nil
cons
cons
2797
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
2781
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2787
ref
437
ref
appTerm
2798
def
betaConv
2789
ref
1420
ref
appTerm
2799
def
betaConv
nil
2792
remove
68
ref
2799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
2789
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2788
remove
nil
cons
cons
68
ref
2798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2787
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
2791
remove
cons
106
ref
2793
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
2793
remove
cons
68
ref
2786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2795
remove
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2796
remove
cons
68
ref
2783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2797
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2800
def
subst
eqMp
appThm
nil
67
ref
28
ref
2776
ref
appTerm
204
ref
appTerm
nil
cons
cons
68
ref
69
ref
2776
remove
appTerm
204
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"b"
2
ref
var
2801
def
646
remove
cons
"a"
2
ref
var
2802
def
2777
remove
cons
nil
cons
cons
nil
cons
cons
2801
ref
69
ref
28
ref
2802
ref
varTerm
2803
def
appTerm
2804
def
2801
ref
varTerm
2805
def
appTerm
appTerm
2806
def
69
ref
2803
ref
appTerm
2805
ref
appTerm
2807
def
appTerm
absTerm
2808
def
2805
ref
appTerm
2809
def
betaConv
2802
ref
165
ref
2808
ref
appTerm
2810
def
absTerm
2811
def
2803
ref
appTerm
2812
def
betaConv
nil
165
ref
2811
ref
appTerm
2813
def
axiom
nil
67
ref
2813
remove
nil
cons
cons
68
ref
2812
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2811
remove
nil
cons
cons
169
ref
2803
ref
nil
cons
2814
def
cons
nil
cons
2815
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2810
remove
nil
cons
cons
68
ref
2809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2808
remove
nil
cons
cons
169
ref
2805
ref
nil
cons
2816
def
cons
nil
cons
2817
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
proveHyp
eqMp
1630
remove
proveHyp
283
ref
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
2771
remove
cons
1631
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
253
remove
2769
remove
appTerm
nil
cons
cons
2761
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1634
ref
2778
remove
nil
cons
cons
nil
cons
cons
300
ref
subst
eqMp
2818
def
eqMp
nil
104
ref
2758
ref
cons
2819
def
106
ref
2760
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2820
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2757
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
69
ref
1593
ref
200
ref
appTerm
2821
def
19
ref
appTerm
appTerm
2822
def
10
ref
16
ref
367
ref
19
ref
appTerm
2823
def
200
ref
appTerm
2824
def
appTerm
200
ref
appTerm
appTerm
215
ref
appTerm
appTerm
2825
def
absTerm
2826
def
appTerm
2827
def
absTerm
2828
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2827
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2826
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2825
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2822
remove
refl
338
ref
nil
6
ref
2824
remove
nil
cons
cons
nil
cons
nil
cons
cons
661
ref
subst
appThm
661
ref
appThm
appThm
sym
632
ref
2820
remove
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2828
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
28
ref
216
ref
17
ref
appTerm
2829
def
appTerm
2830
def
57
ref
882
ref
appTerm
352
ref
appTerm
2831
def
appTerm
2832
def
absTerm
2833
def
appTerm
2834
def
absTerm
2835
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2834
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2833
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2832
remove
nil
cons
2836
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1410
ref
68
ref
2836
ref
cons
nil
cons
2837
def
cons
nil
cons
cons
2838
def
85
ref
subst
2838
remove
138
ref
subst
2830
ref
refl
58
ref
1441
ref
appThm
352
ref
refl
2839
def
appThm
nil
50
ref
449
ref
cons
nil
cons
nil
cons
cons
2840
def
2519
ref
subst
trans
appThm
nil
50
ref
2829
ref
nil
cons
2841
def
cons
nil
cons
nil
cons
cons
2372
remove
subst
trans
sym
nil
1410
ref
68
ref
418
ref
2829
ref
appTerm
2842
def
nil
cons
2843
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
2388
ref
2841
ref
cons
2389
ref
1438
ref
cons
nil
cons
2844
def
cons
nil
cons
cons
2388
ref
28
ref
69
ref
2392
remove
appTerm
2393
remove
appTerm
appTerm
69
ref
2391
ref
appTerm
2390
ref
appTerm
appTerm
absTerm
2845
def
2391
ref
appTerm
2846
def
betaConv
2389
ref
165
ref
2845
ref
appTerm
2847
def
absTerm
2848
def
2390
ref
appTerm
2849
def
betaConv
nil
165
ref
2848
ref
appTerm
2850
def
axiom
nil
67
ref
2850
remove
nil
cons
cons
68
ref
2849
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2848
remove
nil
cons
cons
2400
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2847
remove
nil
cons
cons
68
ref
2846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
2845
remove
nil
cons
cons
2401
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
nil
67
ref
2841
ref
cons
68
ref
1438
ref
cons
nil
cons
cons
nil
cons
cons
2851
def
85
ref
subst
2851
remove
138
ref
subst
6
ref
1437
remove
59
ref
17
ref
appTerm
19
ref
appTerm
2852
def
appTerm
2853
def
absTerm
2854
def
19
ref
appTerm
2855
def
betaConv
149
ref
6
ref
2853
remove
assume
sym
28
ref
2852
remove
appTerm
882
ref
appTerm
2856
def
assume
sym
deductAntisym
absThm
appThm
nil
65
ref
6
ref
2856
remove
absTerm
appTerm
axiom
eqMp
nil
67
ref
65
ref
2854
ref
appTerm
nil
cons
cons
68
ref
2855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2854
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
sym
28
ref
"_29508"
1
ref
var
2857
def
59
ref
2857
remove
varTerm
appTerm
19
ref
appTerm
absTerm
2858
def
17
ref
appTerm
2859
def
appTerm
refl
2858
ref
215
ref
appTerm
betaConv
appThm
108
ref
2859
remove
betaConv
appThm
229
remove
refl
appThm
trans
2858
remove
refl
2829
ref
assume
sym
appThm
eqMp
sym
239
ref
eqMp
eqMp
eqMp
nil
104
ref
2841
ref
cons
2860
def
106
ref
1438
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1649
ref
106
ref
2836
ref
cons
nil
cons
2861
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
1438
ref
cons
2862
def
2837
remove
cons
nil
cons
cons
2863
def
85
ref
subst
2863
remove
138
ref
subst
108
ref
338
ref
16
ref
refl
2864
def
882
ref
assume
2865
def
appThm
2866
def
417
ref
appThm
2867
def
nil
558
ref
nil
cons
cons
2868
def
301
ref
subst
2869
def
trans
2870
def
appThm
2871
def
921
ref
appThm
appThm
58
ref
338
ref
2865
ref
appThm
921
ref
appThm
2311
ref
trans
appThm
2839
remove
appThm
2840
remove
172
ref
subst
trans
appThm
nil
609
remove
nil
cons
cons
2443
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
1439
ref
2861
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
ref
882
ref
appTerm
2872
def
betaConv
606
ref
nil
607
ref
68
ref
2872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
1438
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2873
def
nil
1439
ref
106
ref
1409
ref
cons
2874
def
612
ref
2836
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
2875
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
2835
remove
appTerm
thm
nil
5
ref
378
ref
65
ref
379
ref
59
ref
18
ref
17
ref
appTerm
2876
def
appTerm
2877
def
"Number.Natural.distance"
const
15
ref
constTerm
2878
def
392
ref
381
ref
appTerm
2879
def
17
ref
appTerm
appTerm
2880
def
392
ref
383
ref
appTerm
2881
def
17
ref
appTerm
2882
def
appTerm
appTerm
absTerm
2883
def
appTerm
2884
def
absTerm
2885
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
2884
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2883
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
2877
remove
refl
2878
ref
refl
2886
def
nil
1419
ref
1371
ref
cons
nil
cons
2887
def
nil
cons
cons
2609
ref
subst
appThm
nil
1419
ref
1369
ref
cons
nil
cons
2888
def
nil
cons
cons
2609
ref
subst
2889
def
appThm
2231
ref
436
ref
10
ref
2878
ref
437
ref
appTerm
2890
def
437
ref
appTerm
appTerm
17
ref
appTerm
absTerm
2891
def
437
ref
appTerm
2892
def
betaConv
nil
65
ref
2891
ref
appTerm
2893
def
axiom
nil
67
ref
2893
remove
nil
cons
cons
68
ref
2892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2891
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
6
ref
2876
ref
nil
cons
cons
nil
cons
nil
cons
cons
141
remove
subst
trans
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
2885
remove
appTerm
2894
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
69
ref
216
ref
359
ref
appTerm
2895
def
appTerm
2896
def
65
ref
378
ref
65
ref
379
ref
228
ref
2878
ref
2879
ref
19
ref
appTerm
2897
def
appTerm
2898
def
2881
ref
200
ref
appTerm
2899
def
appTerm
2900
def
appTerm
2901
def
absTerm
2902
def
appTerm
2903
def
absTerm
2904
def
appTerm
2905
def
appTerm
2906
def
absTerm
2907
def
appTerm
2908
def
absTerm
2909
def
appTerm
2910
def
appTerm
65
ref
150
ref
65
ref
6
ref
65
ref
192
ref
69
ref
728
ref
2905
ref
appTerm
2911
def
appTerm
65
ref
378
ref
65
ref
379
ref
59
ref
16
ref
392
ref
152
ref
appTerm
2912
def
19
ref
appTerm
2913
def
appTerm
2914
def
2912
ref
200
ref
appTerm
2915
def
appTerm
2916
def
appTerm
2878
ref
2879
ref
2913
ref
appTerm
appTerm
2917
def
2881
ref
2915
ref
appTerm
appTerm
appTerm
2918
def
absTerm
2919
def
appTerm
2920
def
absTerm
2921
def
appTerm
2922
def
appTerm
2923
def
absTerm
2924
def
appTerm
2925
def
absTerm
2926
def
appTerm
2927
def
absTerm
2928
def
appTerm
2929
def
appTerm
2930
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2909
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2908
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2907
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2906
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2895
ref
nil
cons
2931
def
cons
2932
def
68
ref
2905
ref
nil
cons
2933
def
cons
nil
cons
cons
nil
cons
cons
2934
def
85
ref
subst
2934
remove
138
ref
subst
nil
5
ref
2904
ref
nil
cons
cons
2935
def
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
2903
remove
nil
cons
2936
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2902
ref
nil
cons
cons
2937
def
nil
cons
nil
cons
cons
49
ref
subst
379
ref
698
ref
2895
ref
assume
2938
def
appThm
2900
ref
refl
appThm
nil
6
ref
2900
ref
nil
cons
2939
def
cons
nil
cons
nil
cons
cons
673
ref
subst
trans
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
2931
ref
cons
2940
def
106
ref
2933
ref
cons
nil
cons
2941
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
2910
remove
nil
cons
cons
68
ref
2929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2928
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2927
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2926
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
2925
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2924
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2923
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2911
remove
nil
cons
2942
def
cons
68
ref
2922
remove
nil
cons
2943
def
cons
nil
cons
cons
nil
cons
cons
2944
def
85
ref
subst
2944
remove
138
ref
subst
nil
916
ref
2941
remove
cons
nil
cons
cons
2945
def
120
ref
subst
2945
remove
224
ref
subst
nil
5
ref
2921
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
2920
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2919
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
2918
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
698
ref
nil
1568
ref
193
ref
154
ref
cons
2946
def
cons
nil
cons
cons
150
ref
10
ref
16
ref
392
ref
19
ref
appTerm
2947
def
200
ref
appTerm
2948
def
appTerm
2949
def
2947
ref
152
ref
appTerm
2950
def
appTerm
appTerm
2947
ref
2079
ref
appTerm
appTerm
2951
def
absTerm
2952
def
152
ref
appTerm
2953
def
betaConv
2954
def
192
ref
65
ref
2952
ref
appTerm
2955
def
absTerm
2956
def
200
ref
appTerm
2957
def
betaConv
nil
5
ref
150
ref
10
ref
16
ref
2947
ref
17
ref
appTerm
2958
def
appTerm
2950
ref
appTerm
appTerm
2947
ref
18
ref
152
ref
appTerm
2959
def
appTerm
appTerm
absTerm
2960
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
338
ref
2864
ref
nil
1533
ref
nil
cons
cons
2961
def
2609
ref
subst
appThm
2950
ref
refl
appThm
nil
6
ref
2950
ref
nil
cons
2962
def
cons
nil
cons
nil
cons
cons
301
ref
subst
trans
appThm
2947
ref
refl
2963
def
155
remove
301
ref
subst
2964
def
appThm
appThm
nil
130
ref
2962
ref
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
absThm
eqMp
nil
67
ref
65
ref
2960
ref
appTerm
2965
def
nil
cons
cons
68
ref
57
ref
65
ref
192
ref
65
ref
150
ref
69
ref
57
ref
1894
ref
152
ref
appTerm
200
ref
appTerm
2966
def
appTerm
2967
def
10
ref
16
ref
2950
ref
appTerm
2968
def
2948
ref
appTerm
appTerm
2947
ref
1407
remove
appTerm
appTerm
2969
def
appTerm
2970
def
appTerm
2951
ref
appTerm
2971
def
absTerm
2972
def
appTerm
2973
def
absTerm
2974
def
appTerm
2975
def
appTerm
65
ref
192
ref
65
ref
150
ref
69
ref
2951
ref
appTerm
10
ref
2949
ref
2947
ref
390
ref
152
ref
appTerm
2976
def
200
ref
appTerm
2977
def
appTerm
appTerm
appTerm
2947
ref
633
ref
2977
ref
appTerm
appTerm
appTerm
2978
def
appTerm
2979
def
absTerm
2980
def
appTerm
2981
def
absTerm
2982
def
appTerm
2983
def
appTerm
2984
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2974
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2973
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2972
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2971
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2970
remove
nil
cons
2985
def
cons
68
ref
2951
ref
nil
cons
2986
def
cons
nil
cons
cons
nil
cons
cons
2987
def
85
ref
subst
2987
remove
138
ref
subst
nil
104
ref
2966
remove
nil
cons
cons
106
ref
2969
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
338
ref
nil
192
ref
2962
remove
cons
2988
def
6
ref
2948
ref
nil
cons
2989
def
cons
2990
def
nil
cons
cons
nil
cons
cons
2991
def
661
ref
subst
appThm
2963
ref
2097
ref
661
ref
subst
2992
def
appThm
appThm
sym
2969
remove
assume
eqMp
proveHyp
eqMp
nil
104
ref
2985
remove
cons
106
ref
2986
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
2975
remove
nil
cons
cons
68
ref
2983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
2982
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
2981
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
2980
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
2979
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2986
ref
cons
68
ref
2978
remove
nil
cons
2993
def
cons
nil
cons
cons
nil
cons
cons
2994
def
85
ref
subst
2994
remove
138
ref
subst
338
ref
2949
ref
refl
nil
1925
ref
1474
ref
1533
ref
cons
cons
nil
cons
cons
1530
ref
10
ref
1497
ref
1536
ref
appTerm
appTerm
1522
ref
1497
ref
1534
ref
appTerm
2995
def
appTerm
appTerm
absTerm
2996
def
1534
ref
appTerm
2997
def
betaConv
436
ref
65
ref
2996
ref
appTerm
2998
def
absTerm
2999
def
437
ref
appTerm
3000
def
betaConv
1419
ref
65
ref
2999
ref
appTerm
3001
def
absTerm
3002
def
1420
ref
appTerm
3003
def
betaConv
nil
65
ref
3002
ref
appTerm
3004
def
axiom
nil
67
ref
3004
remove
nil
cons
cons
68
ref
3003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3002
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3001
remove
nil
cons
cons
68
ref
3000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2999
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2998
remove
nil
cons
cons
68
ref
2997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2996
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3005
def
subst
appThm
2991
remove
2074
ref
subst
trans
appThm
2963
ref
2097
ref
2074
ref
subst
appThm
appThm
sym
2951
remove
assume
eqMp
eqMp
nil
104
ref
2986
remove
cons
106
ref
2993
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
2965
remove
appTerm
2984
remove
appTerm
nil
cons
cons
68
ref
65
ref
2956
ref
appTerm
3006
def
nil
cons
3007
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
149
ref
150
ref
192
ref
2952
ref
absTerm
3008
def
17
ref
appTerm
betaConv
1473
ref
appThm
2960
remove
152
ref
appTerm
betaConv
trans
absThm
appThm
appThm
58
ref
149
ref
192
ref
149
ref
150
ref
151
ref
2967
remove
refl
3008
ref
152
ref
appTerm
betaConv
417
ref
appThm
"c'"
1
ref
var
3009
def
10
ref
2968
remove
2947
ref
3009
ref
varTerm
3010
def
appTerm
appTerm
appTerm
2947
ref
729
ref
3010
ref
appTerm
appTerm
appTerm
absTerm
200
ref
appTerm
betaConv
trans
appThm
appThm
3008
ref
200
ref
appTerm
betaConv
3011
def
1473
ref
appThm
2954
remove
trans
3012
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
192
ref
149
ref
150
ref
151
ref
3012
ref
appThm
3011
remove
2977
ref
refl
appThm
2952
ref
2977
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
192
ref
149
ref
150
ref
3012
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
3008
remove
nil
cons
cons
nil
cons
nil
cons
cons
1725
ref
69
ref
57
ref
65
ref
436
ref
1726
ref
17
ref
appTerm
3013
def
437
ref
appTerm
absTerm
appTerm
appTerm
57
ref
65
ref
1419
ref
65
ref
436
ref
69
ref
57
ref
2402
remove
appTerm
1726
ref
437
ref
appTerm
1420
ref
appTerm
appTerm
appTerm
1726
ref
1420
ref
appTerm
3014
def
437
ref
appTerm
3015
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
65
ref
1419
ref
65
ref
436
ref
69
ref
3015
ref
appTerm
3014
remove
1507
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
65
ref
1419
ref
65
ref
436
ref
3015
remove
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3016
def
1726
ref
appTerm
3017
def
betaConv
nil
29
ref
0
ref
0
ref
9
ref
3
ref
cons
opType
3018
def
3
ref
cons
opType
constTerm
3019
def
3016
ref
appTerm
3020
def
axiom
nil
67
ref
3020
remove
nil
cons
cons
68
ref
3017
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
9
ref
nil
cons
cons
nil
cons
3021
def
"P"
3018
ref
var
3022
def
3016
remove
nil
cons
cons
"x"
9
ref
var
1726
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3023
def
subst
eqMp
eqMp
3024
def
nil
67
ref
3007
ref
cons
68
ref
2957
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2956
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
2955
remove
nil
cons
cons
68
ref
2953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2952
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3025
def
subst
appThm
2886
ref
nil
1530
ref
131
ref
cons
3026
def
1474
ref
2887
ref
cons
3027
def
cons
nil
cons
cons
1530
ref
10
ref
1497
ref
392
ref
437
ref
appTerm
3028
def
1534
ref
appTerm
3029
def
appTerm
3030
def
appTerm
392
ref
1498
ref
appTerm
1534
ref
appTerm
3031
def
appTerm
3032
def
absTerm
3033
def
1534
ref
appTerm
3034
def
betaConv
436
ref
65
ref
3033
ref
appTerm
3035
def
absTerm
3036
def
437
ref
appTerm
3037
def
betaConv
1419
ref
65
ref
3036
ref
appTerm
3038
def
absTerm
3039
def
1420
ref
appTerm
3040
def
betaConv
nil
65
ref
3039
ref
appTerm
3041
def
axiom
3042
def
nil
67
ref
3041
remove
nil
cons
cons
68
ref
3040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3039
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3038
remove
nil
cons
cons
68
ref
3037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3036
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3035
remove
nil
cons
cons
68
ref
3034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3033
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3043
def
subst
appThm
nil
1925
ref
1474
ref
2888
ref
cons
3044
def
cons
nil
cons
cons
3043
ref
subst
appThm
appThm
sym
59
ref
2912
ref
215
ref
appTerm
3045
def
appTerm
3046
def
refl
3047
def
2878
ref
392
ref
2879
ref
152
ref
appTerm
3048
def
appTerm
19
ref
appTerm
appTerm
refl
929
ref
nil
3044
ref
nil
cons
cons
436
ref
10
ref
1498
ref
appTerm
3049
def
3028
ref
1420
ref
appTerm
3050
def
appTerm
absTerm
3051
def
437
ref
appTerm
3052
def
betaConv
1419
ref
65
ref
3051
ref
appTerm
3053
def
absTerm
3054
def
1420
ref
appTerm
3055
def
betaConv
nil
65
ref
3054
ref
appTerm
3056
def
axiom
nil
67
ref
3056
remove
nil
cons
cons
68
ref
3055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3054
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3053
remove
nil
cons
cons
68
ref
3052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3051
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3057
def
subst
appThm
417
ref
appThm
appThm
appThm
sym
3047
ref
2886
ref
929
ref
nil
3027
remove
nil
cons
cons
3057
ref
subst
appThm
821
ref
appThm
appThm
392
ref
2912
ref
383
ref
appTerm
appTerm
200
ref
appTerm
refl
appThm
appThm
sym
3047
ref
2886
ref
nil
3026
ref
436
ref
1371
ref
cons
3058
def
1419
ref
153
remove
cons
nil
cons
3059
def
cons
cons
nil
cons
cons
1530
ref
10
ref
3031
remove
appTerm
3030
remove
appTerm
3060
def
absTerm
3061
def
1534
ref
appTerm
3062
def
betaConv
436
ref
65
ref
3061
ref
appTerm
3063
def
absTerm
3064
def
437
ref
appTerm
3065
def
betaConv
1419
ref
65
ref
3064
ref
appTerm
3066
def
absTerm
3067
def
1420
ref
appTerm
3068
def
betaConv
149
ref
1419
ref
149
ref
436
ref
149
ref
1530
ref
3060
remove
assume
sym
3032
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
3042
remove
eqMp
nil
67
ref
65
ref
3067
ref
appTerm
nil
cons
cons
68
ref
3068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3067
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3066
remove
nil
cons
cons
68
ref
3065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3064
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3063
remove
nil
cons
cons
68
ref
3062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3061
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3069
def
subst
appThm
nil
1925
ref
436
ref
1369
ref
cons
3070
def
3059
ref
cons
3071
def
cons
nil
cons
cons
3069
ref
subst
appThm
nil
1530
ref
2899
ref
nil
cons
3072
def
cons
3073
def
436
ref
2897
ref
nil
cons
3074
def
cons
3075
def
3059
ref
cons
cons
nil
cons
cons
1530
ref
10
ref
2878
ref
1498
ref
appTerm
2995
ref
appTerm
3076
def
appTerm
1497
remove
2890
ref
1534
ref
appTerm
appTerm
3077
def
appTerm
3078
def
absTerm
3079
def
1534
ref
appTerm
3080
def
betaConv
436
ref
65
ref
3079
ref
appTerm
3081
def
absTerm
3082
def
437
ref
appTerm
3083
def
betaConv
1419
ref
65
ref
3082
ref
appTerm
3084
def
absTerm
3085
def
1420
ref
appTerm
3086
def
betaConv
149
ref
1419
ref
149
ref
436
ref
149
ref
1530
ref
3078
remove
assume
sym
10
ref
3077
remove
appTerm
3076
remove
appTerm
3087
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
3087
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
67
ref
65
ref
3085
ref
appTerm
nil
cons
cons
68
ref
3086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3085
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3084
remove
nil
cons
cons
68
ref
3083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3082
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3081
remove
nil
cons
cons
68
ref
3080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3079
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
150
ref
2939
remove
cons
192
ref
257
ref
cons
154
ref
cons
cons
nil
cons
cons
150
ref
28
ref
59
ref
2948
ref
appTerm
2950
ref
appTerm
appTerm
600
ref
882
ref
appTerm
2101
remove
appTerm
3088
def
appTerm
absTerm
3089
def
152
ref
appTerm
3090
def
betaConv
192
ref
65
ref
3089
ref
appTerm
3091
def
absTerm
3092
def
200
ref
appTerm
3093
def
betaConv
6
ref
65
ref
3092
ref
appTerm
3094
def
absTerm
3095
def
19
ref
appTerm
3096
def
betaConv
nil
65
ref
3095
ref
appTerm
3097
def
axiom
nil
67
ref
3097
remove
nil
cons
cons
68
ref
3096
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3095
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3094
remove
nil
cons
cons
68
ref
3093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3092
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3091
remove
nil
cons
cons
68
ref
3090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3089
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3098
def
subst
trans
sym
2212
ref
924
ref
appThm
3099
def
nil
50
ref
2901
ref
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
2902
remove
383
ref
appTerm
3100
def
betaConv
3101
def
2904
remove
381
ref
appTerm
3102
def
betaConv
3103
def
nil
67
ref
2933
remove
cons
68
ref
3102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
3104
def
23
ref
2935
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
3105
def
eqMp
eqMp
nil
67
ref
2936
remove
cons
68
ref
3100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
3106
def
proveHyp
23
ref
2937
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
3107
def
eqMp
eqMp
eqMp
appThm
181
ref
2218
ref
subst
3108
def
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
2942
remove
cons
106
ref
2943
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
2894
remove
appTerm
2930
remove
appTerm
nil
cons
cons
68
ref
65
ref
6
ref
65
ref
192
ref
2905
remove
absTerm
3109
def
appTerm
3110
def
absTerm
3111
def
appTerm
3112
def
nil
cons
3113
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
6
ref
3109
ref
absTerm
3114
def
17
ref
appTerm
betaConv
921
ref
appThm
192
ref
65
ref
378
ref
65
ref
379
ref
59
ref
18
ref
200
ref
appTerm
3115
def
appTerm
2880
remove
2899
ref
appTerm
3116
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
17
ref
appTerm
betaConv
trans
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
2896
ref
refl
3117
def
3114
ref
19
ref
appTerm
betaConv
417
ref
appThm
3109
ref
200
ref
appTerm
3118
def
betaConv
3119
def
trans
3120
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
150
ref
149
ref
6
ref
149
ref
192
ref
151
ref
1722
ref
3120
ref
appThm
appThm
3114
ref
2913
ref
appTerm
betaConv
2915
ref
refl
3121
def
appThm
192
ref
65
ref
378
ref
65
ref
379
ref
59
ref
2914
ref
200
ref
appTerm
3122
def
appTerm
2917
remove
2899
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2915
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
3120
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
3114
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
67
ref
57
ref
3013
remove
17
ref
appTerm
3123
def
appTerm
57
ref
65
ref
6
ref
65
ref
192
ref
2896
ref
1731
ref
appTerm
absTerm
3124
def
appTerm
3125
def
absTerm
3126
def
appTerm
3127
def
appTerm
65
ref
150
ref
65
ref
6
ref
65
ref
192
ref
69
ref
728
ref
1731
ref
appTerm
appTerm
1726
ref
2913
ref
appTerm
2915
ref
appTerm
appTerm
absTerm
3128
def
appTerm
3129
def
absTerm
3130
def
appTerm
3131
def
absTerm
3132
def
appTerm
3133
def
appTerm
3134
def
appTerm
3135
def
nil
cons
3136
def
cons
1752
remove
cons
nil
cons
cons
3137
def
85
ref
subst
3137
remove
138
ref
subst
nil
104
ref
3123
ref
nil
cons
3138
def
cons
106
ref
3134
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3139
def
120
ref
subst
3139
remove
224
ref
subst
nil
104
ref
3127
remove
nil
cons
3140
def
cons
106
ref
3133
remove
nil
cons
3141
def
cons
nil
cons
cons
nil
cons
cons
3142
def
120
ref
subst
3142
remove
224
ref
subst
nil
5
ref
1749
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
1748
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
1747
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
1876
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
2843
ref
cons
3143
def
1877
ref
cons
nil
cons
cons
3144
def
85
ref
subst
3144
remove
138
ref
subst
239
ref
nil
67
ref
230
remove
cons
3145
def
1877
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
1569
remove
nil
cons
cons
192
ref
885
ref
947
ref
150
ref
10
ref
2913
ref
appTerm
200
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3146
def
200
ref
appTerm
3147
def
betaConv
6
ref
65
ref
3146
ref
appTerm
3148
def
absTerm
3149
def
19
ref
appTerm
3150
def
betaConv
nil
65
ref
3149
ref
appTerm
3151
def
axiom
nil
67
ref
3151
remove
nil
cons
cons
68
ref
3150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3149
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3148
remove
nil
cons
cons
68
ref
3147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3146
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3152
def
subst
appThm
3153
def
1731
ref
refl
3154
def
appThm
sym
nil
5
ref
378
ref
69
ref
150
ref
10
ref
3045
ref
appTerm
3155
def
19
ref
appTerm
absTerm
3156
def
381
ref
appTerm
3157
def
appTerm
1731
ref
appTerm
3158
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
3158
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3157
ref
nil
cons
3159
def
cons
1877
ref
cons
nil
cons
cons
3160
def
85
ref
subst
3160
remove
138
ref
subst
3157
ref
betaConv
3157
remove
assume
eqMp
nil
67
ref
10
ref
2879
ref
215
ref
appTerm
3161
def
appTerm
19
ref
appTerm
3162
def
nil
cons
3163
def
cons
1877
ref
cons
nil
cons
cons
3164
def
129
ref
subst
proveHyp
3164
ref
85
ref
subst
3164
remove
138
ref
subst
28
ref
"_29532"
1
ref
var
3165
def
1726
ref
3165
remove
varTerm
appTerm
200
ref
appTerm
absTerm
3166
def
19
ref
appTerm
3167
def
appTerm
refl
3166
ref
3161
ref
appTerm
betaConv
appThm
108
ref
3167
remove
betaConv
appThm
1726
ref
3161
remove
appTerm
3168
def
200
ref
appTerm
3169
def
refl
3170
def
appThm
trans
3166
remove
refl
3162
remove
assume
sym
3171
def
appThm
eqMp
sym
250
remove
nil
67
ref
243
remove
cons
68
ref
3169
ref
nil
cons
3172
def
cons
nil
cons
3173
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
285
ref
nil
cons
cons
3174
def
3152
ref
subst
appThm
3170
remove
appThm
sym
nil
5
ref
379
ref
69
ref
150
ref
3155
remove
200
ref
appTerm
absTerm
3175
def
383
ref
appTerm
3176
def
appTerm
3169
ref
appTerm
3177
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
3177
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3176
ref
nil
cons
3178
def
cons
3173
ref
cons
nil
cons
cons
3179
def
85
ref
subst
3179
remove
138
ref
subst
3176
ref
betaConv
3176
remove
assume
eqMp
nil
67
ref
10
ref
2881
ref
215
ref
appTerm
appTerm
200
ref
appTerm
3180
def
nil
cons
3181
def
cons
3173
remove
cons
nil
cons
cons
3182
def
129
ref
subst
proveHyp
3182
ref
85
ref
subst
3182
remove
138
ref
subst
3168
remove
refl
3180
remove
assume
sym
3183
def
appThm
sym
1726
ref
refl
3184
def
nil
436
ref
257
ref
cons
3185
def
2887
ref
cons
nil
cons
cons
3057
ref
subst
appThm
nil
3185
ref
2888
ref
cons
nil
cons
cons
3057
ref
subst
appThm
sym
58
ref
447
ref
nil
3143
remove
68
ref
2830
remove
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
2860
ref
nil
cons
nil
cons
cons
487
ref
subst
eqMp
3186
def
appThm
490
ref
trans
appThm
1726
ref
381
ref
appTerm
383
ref
appTerm
3187
def
refl
appThm
nil
50
ref
3187
ref
nil
cons
3188
def
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
nil
5
ref
150
ref
69
ref
57
ref
157
ref
381
ref
appTerm
3189
def
appTerm
157
ref
383
ref
appTerm
3190
def
appTerm
3191
def
appTerm
683
ref
appTerm
3192
def
absTerm
3193
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3192
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3191
remove
nil
cons
3194
def
cons
690
remove
cons
nil
cons
cons
3195
def
85
ref
subst
3195
remove
138
ref
subst
nil
104
ref
3189
ref
nil
cons
3196
def
cons
106
ref
3190
ref
nil
cons
3197
def
cons
nil
cons
cons
nil
cons
cons
3198
def
120
ref
subst
3198
remove
224
ref
subst
682
ref
3009
ref
28
ref
3046
ref
392
ref
3010
ref
appTerm
215
ref
appTerm
appTerm
appTerm
600
ref
2829
ref
appTerm
3199
def
157
ref
3010
ref
appTerm
appTerm
appTerm
absTerm
3200
def
359
ref
appTerm
3201
def
betaConv
877
ref
65
ref
150
ref
28
ref
59
ref
392
ref
878
ref
appTerm
3202
def
215
ref
appTerm
appTerm
3045
ref
appTerm
appTerm
3199
ref
2746
remove
appTerm
appTerm
absTerm
appTerm
absTerm
3203
def
152
ref
appTerm
3204
def
betaConv
6
ref
65
ref
192
ref
65
ref
150
ref
28
ref
59
ref
392
ref
200
ref
appTerm
3205
def
19
ref
appTerm
3206
def
appTerm
2913
ref
appTerm
appTerm
3088
remove
appTerm
absTerm
3207
def
appTerm
3208
def
absTerm
3209
def
appTerm
3210
def
absTerm
3211
def
215
ref
appTerm
3212
def
betaConv
nil
65
ref
3211
ref
appTerm
3213
def
axiom
3214
def
nil
67
ref
3213
remove
nil
cons
cons
3215
def
68
ref
3212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3211
ref
nil
cons
cons
3216
def
2712
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
3203
ref
appTerm
nil
cons
cons
68
ref
3204
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3203
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
3200
ref
appTerm
nil
cons
cons
68
ref
3201
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3200
remove
nil
cons
cons
2643
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
28
ref
3046
ref
2691
ref
215
ref
appTerm
appTerm
appTerm
3199
remove
695
ref
appTerm
appTerm
nil
cons
cons
68
ref
695
ref
nil
cons
3217
def
cons
nil
cons
3218
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
108
ref
3047
ref
nil
1419
ref
257
ref
cons
nil
cons
nil
cons
cons
1419
ref
10
ref
2691
ref
1420
ref
appTerm
appTerm
1420
ref
appTerm
absTerm
3219
def
1420
ref
appTerm
3220
def
betaConv
nil
65
ref
3219
ref
appTerm
3221
def
axiom
nil
67
ref
3221
remove
nil
cons
cons
68
ref
3220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3219
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3222
def
subst
appThm
appThm
2212
ref
3186
remove
appThm
3223
def
695
ref
refl
3224
def
appThm
nil
50
ref
3217
ref
cons
nil
cons
nil
cons
cons
2218
ref
subst
trans
appThm
appThm
3224
remove
appThm
sym
nil
67
ref
28
ref
3046
ref
215
ref
appTerm
3225
def
appTerm
695
ref
appTerm
3226
def
nil
cons
3227
def
cons
3218
remove
cons
nil
cons
cons
3228
def
85
ref
subst
3228
remove
138
ref
subst
3226
remove
assume
3047
ref
3171
remove
appThm
sym
nil
150
ref
1371
ref
cons
284
remove
2095
ref
nil
cons
3229
def
cons
3230
def
cons
nil
cons
cons
3207
ref
152
ref
appTerm
3231
def
betaConv
3209
ref
200
ref
appTerm
3232
def
betaConv
3211
remove
19
ref
appTerm
3233
def
betaConv
3214
remove
nil
3215
remove
68
ref
3233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3216
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3210
remove
nil
cons
cons
68
ref
3232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3209
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3208
remove
nil
cons
cons
68
ref
3231
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3207
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3234
def
subst
3223
ref
nil
50
ref
3196
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
3189
remove
assume
eqMp
appThm
3108
ref
trans
trans
sym
55
ref
eqMp
eqMp
nil
67
ref
3046
ref
19
ref
appTerm
3235
def
nil
cons
cons
68
ref
3046
remove
200
ref
appTerm
3236
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
3047
remove
3183
remove
appThm
sym
nil
150
ref
1369
ref
cons
3230
remove
cons
nil
cons
cons
3234
remove
subst
3223
remove
nil
50
ref
3197
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
3190
remove
assume
eqMp
appThm
3108
remove
trans
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
67
ref
57
ref
3235
remove
appTerm
3236
remove
appTerm
nil
cons
cons
68
ref
3225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
3045
remove
nil
cons
cons
nil
cons
nil
cons
cons
283
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3227
remove
cons
106
ref
3217
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
3194
remove
cons
693
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
3193
remove
appTerm
nil
cons
cons
68
ref
10
ref
16
ref
381
ref
appTerm
383
ref
appTerm
appTerm
359
ref
appTerm
nil
cons
3237
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1374
ref
nil
67
ref
65
ref
150
ref
206
ref
683
ref
appTerm
3238
def
absTerm
3239
def
appTerm
3240
def
nil
cons
3241
def
cons
3242
def
68
ref
2931
ref
cons
nil
cons
3243
def
cons
nil
cons
cons
3244
def
85
ref
subst
3244
remove
138
ref
subst
674
remove
58
ref
2868
remove
673
remove
subst
appThm
149
ref
150
ref
206
ref
refl
682
remove
appThm
nil
50
ref
3238
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3239
ref
152
ref
appTerm
3245
def
betaConv
nil
3242
remove
68
ref
3245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
3239
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
trans
absThm
appThm
185
ref
trans
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
694
remove
57
ref
668
remove
200
ref
appTerm
appTerm
65
ref
150
ref
206
remove
695
remove
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
3243
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2559
remove
nil
cons
cons
3246
def
300
ref
subst
eqMp
eqMp
nil
104
ref
3241
remove
cons
106
ref
2931
ref
cons
nil
cons
3247
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
3248
def
subst
eqMp
nil
67
ref
3237
remove
cons
68
ref
3188
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1374
remove
3124
ref
200
ref
appTerm
3249
def
betaConv
3126
ref
19
ref
appTerm
3250
def
betaConv
nil
67
ref
3140
remove
cons
68
ref
3250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
3126
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3125
remove
nil
cons
cons
68
ref
3249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3124
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
67
ref
57
ref
2842
remove
appTerm
3187
remove
appTerm
nil
cons
cons
68
ref
1726
remove
392
ref
215
ref
appTerm
3251
def
381
ref
appTerm
appTerm
3251
ref
383
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1370
remove
1372
remove
258
remove
cons
cons
nil
cons
cons
3128
ref
200
ref
appTerm
3252
def
betaConv
3130
ref
19
ref
appTerm
3253
def
betaConv
3132
ref
152
ref
appTerm
3254
def
betaConv
nil
67
ref
3141
remove
cons
68
ref
3254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
3132
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3131
remove
nil
cons
cons
68
ref
3253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3130
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3129
remove
nil
cons
cons
68
ref
3252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3128
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3181
remove
cons
106
ref
3172
remove
cons
nil
cons
3255
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3178
remove
cons
3255
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3175
ref
1710
ref
appTerm
appTerm
3169
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
3175
ref
appTerm
appTerm
3169
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3175
remove
nil
cons
cons
3255
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3163
remove
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3159
remove
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3156
ref
1710
ref
appTerm
appTerm
3256
def
1731
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
3156
ref
appTerm
appTerm
3257
def
1731
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3156
ref
nil
cons
cons
3258
def
2001
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
2843
ref
cons
2001
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
151
ref
2875
ref
appThm
3154
remove
appThm
sym
nil
67
ref
2831
remove
nil
cons
3259
def
cons
1877
remove
cons
nil
cons
cons
3260
def
85
ref
subst
3260
remove
138
ref
subst
nil
1439
ref
106
ref
449
remove
cons
nil
cons
cons
nil
cons
cons
3261
def
120
ref
subst
3261
remove
224
ref
subst
3184
remove
2865
ref
appThm
597
ref
appThm
nil
50
ref
3138
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
3123
remove
assume
eqMp
trans
sym
55
ref
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
3259
remove
cons
2001
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
603
ref
2829
remove
appTerm
3262
def
betaConv
606
ref
nil
607
ref
68
ref
3262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
2841
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
2860
ref
106
ref
2843
remove
cons
612
ref
1876
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
3136
remove
cons
2041
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
3263
def
subst
eqMp
eqMp
3264
def
nil
3112
remove
thm
nil
5
ref
192
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3116
remove
appTerm
3115
ref
appTerm
absTerm
appTerm
absTerm
3265
def
appTerm
3266
def
absTerm
3267
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3266
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3265
ref
17
ref
appTerm
betaConv
sym
379
ref
10
ref
2878
ref
1466
ref
17
ref
appTerm
3268
def
appTerm
2899
ref
appTerm
appTerm
3115
ref
appTerm
absTerm
3269
def
359
ref
appTerm
betaConv
sym
338
ref
2886
ref
2231
ref
1472
ref
subst
3270
def
appThm
nil
1916
ref
nil
cons
cons
3271
def
3222
ref
subst
appThm
2553
ref
436
ref
10
ref
2878
ref
17
ref
appTerm
437
ref
appTerm
appTerm
437
ref
appTerm
absTerm
3272
def
437
ref
appTerm
3273
def
betaConv
nil
65
ref
3272
ref
appTerm
3274
def
axiom
nil
67
ref
3274
remove
nil
cons
cons
68
ref
3273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3272
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
2869
ref
appThm
nil
238
ref
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
3269
remove
nil
cons
cons
2643
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
3265
remove
nil
cons
cons
537
remove
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
absThm
eqMp
nil
67
ref
65
ref
3267
ref
appTerm
3275
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
69
ref
57
ref
1894
ref
200
ref
appTerm
19
ref
appTerm
3276
def
appTerm
3277
def
947
ref
378
ref
947
ref
379
ref
10
ref
2878
ref
2879
ref
200
ref
appTerm
3278
def
appTerm
3279
def
2881
ref
19
ref
appTerm
3280
def
appTerm
appTerm
634
ref
appTerm
3281
def
absTerm
3282
def
appTerm
3283
def
absTerm
3284
def
appTerm
3285
def
appTerm
3286
def
appTerm
947
ref
378
ref
947
ref
379
ref
10
ref
2900
ref
appTerm
3287
def
215
ref
appTerm
3288
def
absTerm
3289
def
appTerm
3290
def
absTerm
3291
def
appTerm
3292
def
appTerm
3293
def
absTerm
3294
def
appTerm
3295
def
absTerm
3296
def
appTerm
3297
def
appTerm
65
ref
6
ref
65
ref
192
ref
69
ref
3292
ref
appTerm
947
ref
378
ref
947
ref
379
ref
10
ref
2898
ref
2881
ref
2062
ref
appTerm
appTerm
appTerm
2063
ref
appTerm
absTerm
appTerm
absTerm
3298
def
appTerm
3299
def
appTerm
3300
def
absTerm
3301
def
appTerm
3302
def
absTerm
3303
def
appTerm
3304
def
appTerm
3305
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3296
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3295
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3294
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3293
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3286
remove
nil
cons
3306
def
cons
68
ref
3292
ref
nil
cons
3307
def
cons
nil
cons
3308
def
cons
nil
cons
cons
3309
def
85
ref
subst
3309
remove
138
ref
subst
nil
104
ref
3276
remove
nil
cons
cons
106
ref
3285
ref
nil
cons
3310
def
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
nil
67
ref
3310
remove
cons
3308
ref
cons
nil
cons
cons
129
ref
subst
nil
5
ref
378
ref
69
ref
3284
ref
381
ref
appTerm
3311
def
appTerm
3292
ref
appTerm
3312
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
3312
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3311
ref
nil
cons
3313
def
cons
3308
ref
cons
nil
cons
cons
3314
def
85
ref
subst
3314
remove
138
ref
subst
3311
ref
betaConv
3311
remove
assume
eqMp
nil
67
ref
3283
ref
nil
cons
cons
3308
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
3282
ref
383
ref
appTerm
3315
def
appTerm
3292
ref
appTerm
3316
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
3316
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3315
ref
nil
cons
3317
def
cons
3308
ref
cons
nil
cons
cons
3318
def
85
ref
subst
3318
remove
138
ref
subst
3315
ref
betaConv
3315
remove
assume
eqMp
nil
67
ref
3281
ref
nil
cons
3319
def
cons
3308
remove
cons
nil
cons
cons
3320
def
129
ref
subst
proveHyp
3320
ref
85
ref
subst
3320
remove
138
ref
subst
3291
ref
383
ref
appTerm
betaConv
sym
"t'"
1
ref
var
3321
def
10
ref
2878
ref
3280
ref
appTerm
392
ref
3321
ref
varTerm
3322
def
appTerm
3323
def
200
ref
appTerm
3324
def
appTerm
appTerm
215
ref
appTerm
absTerm
3325
def
381
ref
appTerm
betaConv
sym
338
ref
nil
436
ref
3278
ref
nil
cons
cons
3326
def
1419
ref
3280
ref
nil
cons
3327
def
cons
nil
cons
3328
def
cons
nil
cons
cons
436
ref
10
ref
2878
ref
1420
ref
appTerm
3329
def
437
ref
appTerm
3330
def
appTerm
3331
def
2890
remove
1420
ref
appTerm
appTerm
absTerm
3332
def
437
ref
appTerm
3333
def
betaConv
1419
ref
65
ref
3332
ref
appTerm
3334
def
absTerm
3335
def
1420
ref
appTerm
3336
def
betaConv
nil
65
ref
3335
ref
appTerm
3337
def
axiom
nil
67
ref
3337
remove
nil
cons
cons
68
ref
3336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3335
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3334
remove
nil
cons
cons
68
ref
3333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3332
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3338
def
subst
appThm
661
ref
appThm
sym
3281
remove
assume
eqMp
eqMp
23
ref
5
ref
3325
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
3291
ref
nil
cons
cons
3339
def
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
3319
remove
cons
106
ref
3307
ref
cons
nil
cons
3340
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3317
remove
cons
3340
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3282
ref
1710
ref
appTerm
appTerm
3292
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3283
remove
appTerm
3292
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3282
remove
nil
cons
cons
3340
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3313
remove
cons
3340
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3284
ref
1710
ref
appTerm
appTerm
3292
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3285
remove
appTerm
3292
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3284
remove
nil
cons
cons
3340
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
104
ref
3306
remove
cons
3340
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
3297
remove
nil
cons
cons
68
ref
3304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3303
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3302
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3301
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3300
remove
nil
cons
3341
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
378
ref
69
ref
3291
ref
381
ref
appTerm
3342
def
appTerm
3299
ref
appTerm
3343
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
3343
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3342
ref
nil
cons
3344
def
cons
68
ref
3299
ref
nil
cons
3345
def
cons
nil
cons
3346
def
cons
nil
cons
cons
3347
def
85
ref
subst
3347
remove
138
ref
subst
3342
ref
betaConv
3342
remove
assume
eqMp
nil
67
ref
3290
ref
nil
cons
cons
3346
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
3289
ref
383
ref
appTerm
3348
def
appTerm
3299
ref
appTerm
3349
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
3349
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3348
ref
nil
cons
3350
def
cons
3346
ref
cons
nil
cons
cons
3351
def
85
ref
subst
3351
remove
138
ref
subst
3348
ref
betaConv
3348
remove
assume
eqMp
nil
67
ref
3288
ref
nil
cons
3352
def
cons
3346
remove
cons
nil
cons
cons
3353
def
129
ref
subst
proveHyp
3353
ref
85
ref
subst
3353
remove
138
ref
subst
3298
ref
395
ref
383
ref
appTerm
3354
def
appTerm
betaConv
sym
3321
ref
10
ref
2878
ref
392
ref
3354
ref
appTerm
19
ref
appTerm
appTerm
3323
ref
2062
ref
appTerm
appTerm
appTerm
2063
remove
appTerm
absTerm
3355
def
383
ref
appTerm
betaConv
sym
338
ref
2886
ref
nil
3026
ref
3070
ref
2887
ref
cons
cons
nil
cons
cons
1530
ref
10
ref
392
ref
1505
ref
appTerm
1534
ref
appTerm
appTerm
390
ref
2995
ref
appTerm
3029
ref
appTerm
appTerm
absTerm
3356
def
1534
ref
appTerm
3357
def
betaConv
436
ref
65
ref
3356
ref
appTerm
3358
def
absTerm
3359
def
437
ref
appTerm
3360
def
betaConv
1419
ref
65
ref
3359
ref
appTerm
3361
def
absTerm
3362
def
1420
ref
appTerm
3363
def
betaConv
nil
65
ref
3362
ref
appTerm
3364
def
axiom
nil
67
ref
3364
remove
nil
cons
cons
68
ref
3363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3362
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3361
remove
nil
cons
cons
68
ref
3360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3359
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3358
remove
nil
cons
cons
68
ref
3357
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3356
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3365
def
subst
appThm
nil
3026
ref
1591
ref
2888
ref
cons
3366
def
cons
nil
cons
cons
3005
ref
subst
appThm
nil
436
ref
3072
ref
cons
3367
def
1530
ref
3327
ref
cons
1419
ref
3074
ref
cons
nil
cons
3368
def
cons
cons
nil
cons
cons
436
ref
10
ref
2878
ref
2364
ref
appTerm
1536
ref
appTerm
appTerm
3330
ref
appTerm
absTerm
3369
def
437
ref
appTerm
3370
def
betaConv
1419
ref
65
ref
3369
ref
appTerm
3371
def
absTerm
3372
def
1420
ref
appTerm
3373
def
betaConv
1530
ref
65
ref
3372
ref
appTerm
3374
def
absTerm
3375
def
1534
ref
appTerm
3376
def
betaConv
nil
65
ref
3375
ref
appTerm
3377
def
axiom
nil
67
ref
3377
remove
nil
cons
cons
68
ref
3376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3375
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3374
remove
nil
cons
cons
68
ref
3373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3372
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3371
remove
nil
cons
cons
68
ref
3370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3369
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3378
def
subst
3288
remove
assume
trans
trans
appThm
2074
remove
appThm
nil
2712
ref
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
3355
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
3298
remove
nil
cons
cons
130
ref
3354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
3352
remove
cons
106
ref
3345
remove
cons
nil
cons
3379
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3350
remove
cons
3379
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3289
ref
1710
ref
appTerm
appTerm
3299
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3290
remove
appTerm
3299
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3289
remove
nil
cons
cons
3379
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3344
remove
cons
3379
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3291
remove
1710
ref
appTerm
appTerm
3299
remove
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
3341
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3339
remove
3379
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
3275
remove
appTerm
3305
remove
appTerm
nil
cons
cons
68
ref
65
ref
6
ref
65
ref
192
ref
3292
remove
absTerm
3380
def
appTerm
3381
def
absTerm
3382
def
appTerm
3383
def
nil
cons
3384
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
149
ref
192
ref
6
ref
3380
ref
absTerm
3385
def
17
ref
appTerm
betaConv
417
ref
appThm
3267
remove
200
ref
appTerm
betaConv
trans
absThm
appThm
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
151
ref
3277
remove
refl
3385
ref
200
ref
appTerm
betaConv
821
ref
appThm
877
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3279
remove
2881
ref
878
ref
appTerm
3386
def
appTerm
appTerm
3387
def
633
ref
878
ref
appTerm
3388
def
appTerm
absTerm
appTerm
absTerm
appTerm
3389
def
absTerm
3390
def
19
ref
appTerm
betaConv
trans
appThm
appThm
3385
ref
19
ref
appTerm
betaConv
3391
def
417
ref
appThm
3380
ref
200
ref
appTerm
3392
def
betaConv
3393
def
trans
3394
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
151
ref
3394
ref
appThm
3391
remove
2062
ref
refl
appThm
3380
ref
2062
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
3394
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
3385
remove
nil
cons
cons
nil
cons
nil
cons
cons
3023
remove
subst
eqMp
eqMp
3395
def
nil
3383
remove
thm
nil
5
ref
6
ref
65
ref
192
ref
884
ref
1412
remove
appTerm
3396
def
absTerm
3397
def
appTerm
3398
def
absTerm
3399
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3398
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3397
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3396
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
1650
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
3399
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
28
ref
272
ref
appTerm
205
ref
appTerm
3400
def
absTerm
3401
def
appTerm
3402
def
absTerm
3403
def
appTerm
3404
def
absTerm
3405
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3404
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3403
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3402
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3401
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3400
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
1584
ref
cons
68
ref
640
ref
cons
nil
cons
cons
nil
cons
cons
3406
def
476
ref
subst
3406
ref
85
ref
subst
3406
remove
138
ref
subst
192
ref
654
ref
289
ref
appTerm
absTerm
3407
def
215
ref
appTerm
betaConv
sym
58
ref
nil
50
ref
1584
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
272
ref
assume
eqMp
appThm
3408
def
240
ref
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
3407
ref
nil
cons
cons
2712
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3407
remove
appTerm
nil
cons
cons
839
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
154
ref
cons
nil
cons
cons
2147
ref
subst
eqMp
1590
remove
proveHyp
877
ref
57
ref
157
ref
878
ref
appTerm
appTerm
2719
remove
appTerm
absTerm
3409
def
215
ref
appTerm
betaConv
sym
3408
remove
251
ref
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
3409
ref
nil
cons
cons
2712
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3409
remove
appTerm
nil
cons
cons
1589
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1568
ref
154
ref
cons
nil
cons
cons
2147
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
1584
remove
cons
106
ref
640
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
272
remove
appTerm
205
remove
appTerm
nil
cons
cons
68
ref
273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
283
ref
eqMp
eqMp
3410
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
3405
remove
appTerm
thm
149
ref
150
ref
698
ref
nil
6
ref
1466
ref
152
ref
appTerm
3411
def
nil
cons
cons
nil
cons
nil
cons
cons
301
ref
subst
1475
remove
1472
ref
subst
3412
def
trans
appThm
929
ref
340
ref
301
ref
subst
appThm
2964
ref
appThm
3412
ref
trans
appThm
340
remove
147
remove
subst
trans
absThm
appThm
185
ref
trans
sym
55
ref
eqMp
nil
67
ref
65
ref
150
ref
59
ref
18
ref
3411
ref
appTerm
appTerm
392
ref
2876
ref
appTerm
2959
ref
appTerm
appTerm
absTerm
appTerm
3413
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
2896
ref
65
ref
150
ref
59
ref
214
ref
3205
ref
152
ref
appTerm
3414
def
appTerm
3415
def
appTerm
3416
def
3251
ref
1447
ref
appTerm
3417
def
appTerm
3418
def
absTerm
3419
def
appTerm
3420
def
appTerm
3421
def
absTerm
3422
def
appTerm
3423
def
absTerm
3424
def
appTerm
3425
def
appTerm
65
ref
150
ref
65
ref
6
ref
65
ref
192
ref
69
ref
728
ref
3420
ref
appTerm
appTerm
65
ref
3009
ref
59
ref
2914
ref
392
ref
2915
ref
appTerm
3426
def
3010
ref
appTerm
3427
def
appTerm
appTerm
392
ref
2916
remove
appTerm
2914
ref
3010
ref
appTerm
3428
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
3429
def
appTerm
3430
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3424
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3423
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3422
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3421
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
2932
ref
68
ref
3420
ref
nil
cons
3431
def
cons
nil
cons
cons
nil
cons
cons
3432
def
85
ref
subst
3432
remove
138
ref
subst
nil
5
ref
3419
ref
nil
cons
cons
3433
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3418
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3434
def
3416
ref
refl
929
ref
2938
ref
appThm
1447
ref
refl
3435
def
appThm
nil
1419
ref
1647
ref
cons
nil
cons
nil
cons
cons
3222
ref
subst
trans
appThm
sym
nil
2932
ref
68
ref
10
ref
3415
ref
appTerm
3436
def
1447
ref
appTerm
3437
def
nil
cons
3438
def
cons
nil
cons
cons
nil
cons
cons
3439
def
129
ref
subst
150
ref
2896
ref
3437
remove
appTerm
3440
def
absTerm
3441
def
152
ref
appTerm
3442
def
betaConv
3443
def
6
ref
65
ref
3441
ref
appTerm
3444
def
absTerm
3445
def
19
ref
appTerm
3446
def
betaConv
nil
67
ref
10
ref
3115
ref
appTerm
359
ref
appTerm
3447
def
nil
cons
3448
def
cons
3449
def
68
ref
10
ref
18
ref
3205
ref
17
ref
appTerm
appTerm
appTerm
2876
remove
appTerm
3450
def
nil
cons
3451
def
cons
nil
cons
cons
nil
cons
cons
3452
def
85
ref
subst
3452
remove
138
ref
subst
18
ref
refl
3271
remove
2609
ref
subst
3453
def
appThm
eqMp
nil
104
ref
3448
ref
cons
106
ref
3451
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
3447
remove
appTerm
3454
def
3450
remove
appTerm
3455
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
150
ref
69
ref
1448
remove
359
ref
appTerm
3456
def
appTerm
3457
def
3440
ref
appTerm
3458
def
absTerm
3459
def
appTerm
3460
def
absTerm
3461
def
appTerm
3462
def
appTerm
65
ref
150
ref
65
ref
6
ref
65
ref
3009
ref
69
ref
728
ref
2896
ref
10
ref
214
ref
3205
ref
3010
ref
appTerm
3463
def
appTerm
appTerm
214
ref
3010
ref
appTerm
3464
def
appTerm
3465
def
appTerm
3466
def
appTerm
3467
def
appTerm
69
ref
10
ref
3122
ref
appTerm
359
ref
appTerm
3468
def
appTerm
3469
def
10
ref
2914
ref
3205
ref
2912
ref
3010
ref
appTerm
3470
def
appTerm
appTerm
appTerm
2914
ref
3470
ref
appTerm
3471
def
appTerm
3472
def
appTerm
3473
def
appTerm
3474
def
absTerm
3475
def
appTerm
3476
def
absTerm
3477
def
appTerm
3478
def
absTerm
3479
def
appTerm
3480
def
appTerm
3481
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3461
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3460
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3459
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3458
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3456
ref
nil
cons
3482
def
cons
68
ref
3440
remove
nil
cons
3483
def
cons
nil
cons
cons
nil
cons
cons
3484
def
85
ref
subst
3484
remove
138
ref
subst
3439
ref
85
ref
subst
3439
remove
138
ref
subst
3436
ref
refl
3456
ref
assume
3485
def
appThm
nil
67
ref
3436
remove
359
ref
appTerm
3486
def
nil
cons
3487
def
cons
68
ref
57
ref
2895
ref
appTerm
3488
def
3456
ref
appTerm
3489
def
nil
cons
3490
def
cons
nil
cons
cons
nil
cons
cons
3491
def
476
remove
subst
3491
ref
85
ref
subst
3491
remove
138
ref
subst
978
ref
10
ref
214
ref
3205
ref
979
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
3492
def
152
ref
appTerm
betaConv
sym
3486
ref
assume
3493
def
eqMp
23
ref
5
ref
3492
ref
nil
cons
cons
261
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3492
remove
appTerm
nil
cons
cons
3243
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1568
ref
322
ref
cons
3494
def
nil
cons
cons
3495
def
150
ref
69
ref
947
ref
6
ref
10
ref
633
ref
2913
ref
appTerm
appTerm
359
ref
appTerm
3496
def
absTerm
3497
def
appTerm
3498
def
appTerm
3499
def
10
ref
2079
ref
appTerm
359
ref
appTerm
3500
def
appTerm
3501
def
absTerm
3502
def
152
ref
appTerm
3503
def
betaConv
192
ref
65
ref
3502
ref
appTerm
3504
def
absTerm
3505
def
200
ref
appTerm
3506
def
betaConv
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
338
ref
633
ref
refl
3507
def
nil
1464
ref
3059
ref
cons
nil
cons
cons
3057
ref
subst
3508
def
appThm
appThm
662
ref
appThm
appThm
3500
ref
refl
3509
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
10
ref
633
ref
2950
remove
appTerm
appTerm
359
ref
appTerm
3510
def
appTerm
3500
ref
appTerm
3511
def
absTerm
3512
def
appTerm
3513
def
absTerm
3514
def
appTerm
3515
def
absTerm
3516
def
nil
cons
cons
3517
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3515
remove
nil
cons
3518
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3514
ref
nil
cons
cons
3519
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3513
remove
nil
cons
3520
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3512
ref
nil
cons
cons
3521
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3511
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
151
ref
338
ref
nil
2988
remove
558
ref
cons
nil
cons
cons
661
ref
subst
appThm
662
ref
appThm
appThm
338
ref
2992
remove
appThm
662
ref
appThm
3522
def
appThm
sym
nil
1568
ref
3229
ref
cons
nil
cons
cons
nil
67
ref
10
ref
2949
remove
152
ref
appTerm
3523
def
appTerm
359
ref
appTerm
3524
def
nil
cons
3525
def
cons
3526
def
68
ref
3500
ref
nil
cons
3527
def
cons
nil
cons
3528
def
cons
nil
cons
cons
3529
def
85
ref
subst
3529
ref
138
ref
subst
nil
2100
ref
nil
cons
cons
6
ref
28
ref
676
remove
appTerm
675
remove
appTerm
3530
def
absTerm
3531
def
19
ref
appTerm
3532
def
betaConv
149
ref
6
ref
3530
remove
assume
sym
677
remove
assume
sym
deductAntisym
absThm
appThm
681
remove
eqMp
nil
67
ref
65
ref
3531
ref
appTerm
nil
cons
cons
68
ref
3532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3531
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3533
def
subst
sym
28
ref
"_29530"
1
ref
var
3534
def
2080
ref
3534
remove
varTerm
appTerm
absTerm
3535
def
359
ref
appTerm
3536
def
appTerm
refl
3535
ref
3523
ref
appTerm
betaConv
appThm
108
ref
3536
remove
betaConv
appThm
2080
ref
3523
remove
appTerm
3537
def
refl
appThm
trans
3535
remove
refl
3524
ref
assume
sym
appThm
eqMp
sym
57
ref
2080
ref
2948
ref
appTerm
3538
def
appTerm
3539
def
refl
2748
remove
appThm
nil
50
ref
3538
remove
nil
cons
3540
def
cons
nil
cons
nil
cons
cons
311
ref
subst
trans
sym
2097
remove
239
ref
subst
nil
67
ref
2080
ref
200
ref
appTerm
nil
cons
cons
68
ref
3540
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1568
ref
193
ref
2100
remove
cons
cons
nil
cons
cons
150
ref
69
ref
1570
remove
appTerm
60
remove
3414
ref
appTerm
appTerm
absTerm
3541
def
152
ref
appTerm
3542
def
betaConv
192
ref
65
ref
3541
ref
appTerm
3543
def
absTerm
3544
def
200
ref
appTerm
3545
def
betaConv
6
ref
65
ref
3544
ref
appTerm
3546
def
absTerm
3547
def
19
ref
appTerm
3548
def
betaConv
nil
65
ref
3547
ref
appTerm
3549
def
axiom
nil
67
ref
3549
remove
nil
cons
cons
68
ref
3548
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3547
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3546
remove
nil
cons
cons
68
ref
3545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3544
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3543
remove
nil
cons
cons
68
ref
3542
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3541
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3550
def
subst
eqMp
eqMp
nil
67
ref
3539
remove
2080
remove
152
ref
appTerm
appTerm
nil
cons
cons
68
ref
3537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2095
ref
2990
remove
150
ref
2099
ref
cons
nil
cons
cons
cons
nil
cons
cons
283
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3525
remove
cons
3551
def
106
ref
3527
ref
cons
nil
cons
3552
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
3553
def
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3554
def
eqMp
3555
def
nil
67
ref
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
3496
ref
appTerm
3500
ref
appTerm
absTerm
3556
def
appTerm
3557
def
absTerm
3558
def
appTerm
3559
def
absTerm
3560
def
appTerm
3561
def
nil
cons
3562
def
cons
3563
def
68
ref
65
ref
3505
ref
appTerm
nil
cons
3564
def
cons
nil
cons
cons
nil
cons
cons
3565
def
129
ref
subst
proveHyp
3565
ref
85
ref
subst
3565
remove
138
ref
subst
nil
5
ref
3505
remove
nil
cons
cons
3566
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3504
remove
nil
cons
3567
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3502
remove
nil
cons
cons
3568
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3501
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3498
remove
nil
cons
3569
def
cons
3570
def
3528
ref
cons
nil
cons
cons
3571
def
85
ref
subst
3571
remove
138
ref
subst
nil
3563
ref
3528
ref
cons
nil
cons
cons
3572
def
129
ref
subst
nil
3570
remove
68
ref
69
ref
3561
ref
appTerm
3500
ref
appTerm
3573
def
nil
cons
3574
def
cons
nil
cons
3575
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
6
ref
69
ref
3497
ref
19
ref
appTerm
3576
def
appTerm
3573
ref
appTerm
3577
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3577
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3576
ref
nil
cons
3578
def
cons
3575
ref
cons
nil
cons
cons
3579
def
85
ref
subst
3579
remove
138
ref
subst
3576
ref
betaConv
3576
remove
assume
eqMp
nil
67
ref
3496
remove
nil
cons
3580
def
cons
3581
def
3575
remove
cons
nil
cons
cons
3582
def
129
ref
subst
proveHyp
3582
ref
85
ref
subst
3582
remove
138
ref
subst
3572
ref
85
ref
subst
3572
remove
138
ref
subst
nil
3581
remove
3528
ref
cons
nil
cons
cons
129
ref
subst
3556
ref
152
ref
appTerm
3583
def
betaConv
3558
ref
200
ref
appTerm
3584
def
betaConv
3560
ref
19
ref
appTerm
3585
def
betaConv
nil
3563
remove
68
ref
3585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
3560
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3559
remove
nil
cons
cons
68
ref
3584
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3558
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3557
remove
nil
cons
cons
68
ref
3583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3556
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3562
remove
cons
3586
def
3552
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
3580
remove
cons
106
ref
3574
remove
cons
nil
cons
3587
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3578
remove
cons
3587
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3497
ref
1710
ref
appTerm
appTerm
3573
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
3499
remove
3573
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3497
remove
nil
cons
cons
3587
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3569
remove
cons
3552
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3586
remove
106
ref
3564
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
3564
remove
cons
68
ref
3506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3566
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3567
remove
cons
68
ref
3503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3568
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3588
def
subst
eqMp
nil
2932
ref
68
ref
3482
ref
cons
nil
cons
3589
def
cons
nil
cons
cons
138
ref
subst
proveHyp
978
ref
10
ref
214
ref
392
ref
979
ref
appTerm
3590
def
152
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
3591
def
200
ref
appTerm
betaConv
sym
3493
remove
eqMp
23
ref
5
ref
3591
ref
nil
cons
cons
238
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3591
remove
appTerm
nil
cons
cons
3589
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
322
ref
nil
cons
cons
3592
def
150
ref
69
ref
947
ref
6
ref
3510
ref
absTerm
3593
def
appTerm
3594
def
appTerm
3595
def
3500
ref
appTerm
3596
def
absTerm
3597
def
152
ref
appTerm
3598
def
betaConv
192
ref
65
ref
3597
ref
appTerm
3599
def
absTerm
3600
def
200
ref
appTerm
3601
def
betaConv
3554
ref
nil
67
ref
65
ref
3516
ref
appTerm
3602
def
nil
cons
3603
def
cons
3604
def
68
ref
65
ref
3600
ref
appTerm
nil
cons
3605
def
cons
nil
cons
cons
nil
cons
cons
3606
def
129
ref
subst
proveHyp
3606
ref
85
ref
subst
3606
remove
138
ref
subst
nil
5
ref
3600
remove
nil
cons
cons
3607
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3599
remove
nil
cons
3608
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3597
remove
nil
cons
cons
3609
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3596
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3594
remove
nil
cons
3610
def
cons
3611
def
3528
ref
cons
nil
cons
cons
3612
def
85
ref
subst
3612
remove
138
ref
subst
nil
3604
ref
3528
ref
cons
nil
cons
cons
3613
def
129
ref
subst
nil
3611
remove
68
ref
69
ref
3602
ref
appTerm
3500
ref
appTerm
3614
def
nil
cons
3615
def
cons
nil
cons
3616
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
6
ref
69
ref
3593
ref
19
ref
appTerm
3617
def
appTerm
3614
ref
appTerm
3618
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3618
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3617
ref
nil
cons
3619
def
cons
3616
ref
cons
nil
cons
cons
3620
def
85
ref
subst
3620
remove
138
ref
subst
3617
ref
betaConv
3617
remove
assume
eqMp
nil
67
ref
3510
remove
nil
cons
3621
def
cons
3622
def
3616
remove
cons
nil
cons
cons
3623
def
129
ref
subst
proveHyp
3623
ref
85
ref
subst
3623
remove
138
ref
subst
3613
ref
85
ref
subst
3613
remove
138
ref
subst
nil
3622
remove
3528
ref
cons
nil
cons
cons
129
ref
subst
3512
remove
152
ref
appTerm
3624
def
betaConv
3514
remove
200
ref
appTerm
3625
def
betaConv
3516
remove
19
ref
appTerm
3626
def
betaConv
nil
3604
remove
68
ref
3626
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
3517
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3518
remove
cons
68
ref
3625
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3519
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3520
remove
cons
68
ref
3624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3521
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3603
remove
cons
3627
def
3552
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
3621
remove
cons
106
ref
3615
remove
cons
nil
cons
3628
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3619
remove
cons
3628
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3593
ref
1710
ref
appTerm
appTerm
3614
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
3595
remove
3614
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3593
remove
nil
cons
cons
3628
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3610
remove
cons
3552
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3627
remove
106
ref
3605
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
3605
remove
cons
68
ref
3601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3607
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3608
remove
cons
68
ref
3598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3609
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3629
def
subst
eqMp
eqMp
eqMp
nil
104
ref
3487
remove
cons
106
ref
3490
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
3486
ref
appTerm
3489
ref
appTerm
nil
cons
cons
68
ref
69
ref
3489
ref
appTerm
3486
ref
appTerm
3630
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
150
ref
3630
remove
absTerm
3631
def
152
ref
appTerm
3632
def
betaConv
192
ref
65
ref
3631
ref
appTerm
3633
def
absTerm
3634
def
200
ref
appTerm
3635
def
betaConv
nil
1410
ref
68
ref
65
ref
3634
ref
appTerm
3636
def
nil
cons
3637
def
cons
nil
cons
3638
def
cons
nil
cons
cons
3639
def
85
ref
subst
3639
remove
138
ref
subst
nil
67
ref
57
ref
303
remove
359
ref
appTerm
3640
def
appTerm
3641
def
3640
ref
appTerm
3642
def
nil
cons
3643
def
cons
68
ref
10
ref
214
ref
3268
remove
appTerm
appTerm
359
ref
appTerm
3644
def
nil
cons
3645
def
cons
nil
cons
cons
nil
cons
cons
3646
def
85
ref
subst
3646
remove
138
ref
subst
nil
104
ref
3640
ref
nil
cons
3647
def
cons
3648
def
106
ref
3647
ref
cons
nil
cons
3649
def
cons
nil
cons
cons
224
ref
subst
1446
ref
3270
ref
appThm
3640
ref
assume
3650
def
trans
proveHyp
eqMp
nil
104
ref
3643
remove
cons
106
ref
3645
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
69
ref
3642
remove
appTerm
3644
remove
appTerm
3651
def
nil
cons
cons
68
ref
57
ref
65
ref
192
ref
65
ref
877
ref
69
ref
10
ref
3388
ref
appTerm
359
ref
appTerm
3652
def
appTerm
3653
def
69
ref
3488
ref
10
ref
214
ref
878
ref
appTerm
3654
def
appTerm
359
ref
appTerm
3655
def
appTerm
3656
def
appTerm
10
ref
214
ref
3205
ref
878
ref
appTerm
3657
def
appTerm
3658
def
appTerm
359
ref
appTerm
3659
def
appTerm
3660
def
appTerm
3661
def
absTerm
3662
def
appTerm
3663
def
absTerm
3664
def
appTerm
3665
def
appTerm
65
ref
150
ref
65
ref
192
ref
65
ref
877
ref
69
ref
728
ref
3660
ref
appTerm
3666
def
appTerm
69
ref
57
ref
10
ref
214
ref
2915
ref
appTerm
appTerm
3667
def
359
ref
appTerm
3668
def
appTerm
3669
def
10
ref
214
ref
2912
ref
878
ref
appTerm
3670
def
appTerm
appTerm
359
ref
appTerm
3671
def
appTerm
3672
def
appTerm
10
ref
214
ref
3426
remove
3670
ref
appTerm
3673
def
appTerm
appTerm
359
ref
appTerm
3674
def
appTerm
3675
def
appTerm
3676
def
absTerm
3677
def
appTerm
3678
def
absTerm
3679
def
appTerm
3680
def
absTerm
3681
def
appTerm
3682
def
appTerm
3683
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3664
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3663
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3662
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
877
ref
nil
50
ref
3661
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3652
ref
nil
cons
3684
def
cons
3685
def
68
ref
3660
ref
nil
cons
3686
def
cons
nil
cons
cons
nil
cons
cons
3687
def
85
ref
subst
3687
remove
138
ref
subst
nil
67
ref
3656
ref
nil
cons
3688
def
cons
3689
def
68
ref
3659
ref
nil
cons
3690
def
cons
3691
def
nil
cons
3692
def
cons
nil
cons
cons
3693
def
85
ref
subst
3693
remove
138
ref
subst
nil
2940
ref
106
ref
3655
ref
nil
cons
3694
def
cons
nil
cons
cons
nil
cons
cons
3695
def
120
ref
subst
3695
remove
224
ref
subst
nil
67
ref
3694
ref
cons
3696
def
3692
ref
cons
nil
cons
cons
3697
def
129
ref
subst
nil
2932
ref
68
ref
69
ref
3655
ref
appTerm
3698
def
3659
ref
appTerm
3699
def
nil
cons
3700
def
cons
nil
cons
cons
nil
cons
cons
3701
def
129
ref
subst
nil
3685
remove
68
ref
2896
ref
3699
remove
appTerm
3702
def
nil
cons
3703
def
cons
nil
cons
cons
nil
cons
cons
3704
def
129
ref
subst
nil
1410
ref
68
ref
3653
ref
3702
remove
appTerm
3705
def
nil
cons
3706
def
cons
nil
cons
cons
nil
cons
cons
3707
def
129
ref
subst
nil
67
ref
418
ref
10
ref
878
ref
appTerm
17
ref
appTerm
3708
def
appTerm
3709
def
nil
cons
3710
def
cons
3711
def
68
ref
884
ref
3705
remove
appTerm
nil
cons
3712
def
cons
nil
cons
3713
def
cons
nil
cons
cons
3714
def
85
ref
subst
3714
remove
138
ref
subst
nil
421
ref
3713
ref
cons
nil
cons
cons
3715
def
85
ref
subst
3715
remove
138
ref
subst
3707
ref
85
ref
subst
3707
remove
138
ref
subst
3704
ref
85
ref
subst
3704
remove
138
ref
subst
3701
ref
85
ref
subst
3701
remove
138
ref
subst
3697
ref
85
ref
subst
3697
remove
138
ref
subst
192
ref
69
ref
3709
remove
appTerm
3716
def
947
ref
378
ref
947
ref
379
ref
10
ref
390
ref
2899
ref
appTerm
3717
def
3388
remove
appTerm
appTerm
2879
ref
878
ref
appTerm
3718
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3719
def
19
ref
appTerm
3720
def
betaConv
6
ref
65
ref
192
ref
884
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3717
ref
634
ref
appTerm
appTerm
2897
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3721
def
878
ref
appTerm
3722
def
betaConv
149
ref
6
ref
149
ref
192
ref
884
ref
refl
3723
def
976
ref
378
ref
976
ref
379
ref
338
ref
3717
ref
refl
3724
def
819
remove
appThm
appThm
2897
ref
refl
3725
def
appThm
absThm
appThm
absThm
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
65
ref
192
ref
884
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3717
ref
215
ref
appTerm
3726
def
appTerm
3727
def
2897
ref
appTerm
3728
def
absTerm
3729
def
appTerm
absTerm
3730
def
appTerm
3731
def
appTerm
3732
def
absTerm
3733
def
appTerm
3734
def
absTerm
3735
def
nil
cons
cons
3736
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3734
remove
nil
cons
3737
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3733
ref
nil
cons
cons
3738
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3732
remove
nil
cons
3739
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1410
ref
68
ref
3731
ref
nil
cons
3740
def
cons
nil
cons
3741
def
cons
nil
cons
cons
3742
def
85
ref
subst
3742
remove
138
ref
subst
3393
remove
3382
ref
19
ref
appTerm
3743
def
betaConv
3395
ref
nil
67
ref
3384
remove
cons
3744
def
68
ref
3743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3382
ref
nil
cons
cons
3745
def
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3381
remove
nil
cons
cons
68
ref
3392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3380
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3307
remove
cons
3741
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
976
ref
378
ref
976
ref
379
ref
nil
1530
ref
257
ref
cons
3746
def
3367
ref
3368
ref
cons
cons
nil
cons
cons
1530
ref
28
ref
3331
remove
1534
ref
appTerm
appTerm
600
ref
2459
ref
437
ref
appTerm
appTerm
10
ref
1536
ref
appTerm
1420
ref
appTerm
appTerm
appTerm
absTerm
3747
def
1534
ref
appTerm
3748
def
betaConv
436
ref
65
ref
3747
ref
appTerm
3749
def
absTerm
3750
def
437
ref
appTerm
3751
def
betaConv
1419
ref
65
ref
3750
ref
appTerm
3752
def
absTerm
3753
def
1420
ref
appTerm
3754
def
betaConv
nil
65
ref
3753
ref
appTerm
3755
def
axiom
nil
67
ref
3755
remove
nil
cons
cons
68
ref
3754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3753
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3752
remove
nil
cons
cons
68
ref
3751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3750
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3749
remove
nil
cons
cons
68
ref
3748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3747
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3756
def
subst
absThm
appThm
absThm
appThm
appThm
3731
ref
refl
3757
def
appThm
sym
nil
5
ref
378
ref
69
ref
378
ref
947
ref
379
ref
600
ref
10
ref
390
ref
2897
ref
appTerm
3758
def
215
ref
appTerm
3759
def
appTerm
2899
ref
appTerm
3760
def
appTerm
3728
ref
appTerm
3761
def
absTerm
3762
def
appTerm
3763
def
absTerm
3764
def
381
ref
appTerm
3765
def
appTerm
3731
ref
appTerm
3766
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
3766
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3765
ref
nil
cons
3767
def
cons
3741
ref
cons
nil
cons
cons
3768
def
85
ref
subst
3768
remove
138
ref
subst
3765
ref
betaConv
3765
remove
assume
eqMp
nil
67
ref
3763
ref
nil
cons
cons
3741
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
3762
ref
383
ref
appTerm
3769
def
appTerm
3731
ref
appTerm
3770
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
3770
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3769
ref
nil
cons
3771
def
cons
3741
ref
cons
nil
cons
cons
3772
def
85
ref
subst
3772
remove
138
ref
subst
3769
ref
betaConv
3769
remove
assume
eqMp
nil
67
ref
3761
remove
nil
cons
3773
def
cons
3741
ref
cons
nil
cons
cons
3774
def
129
ref
subst
proveHyp
3774
ref
85
ref
subst
3774
remove
138
ref
subst
nil
67
ref
3728
ref
nil
cons
3775
def
cons
3741
ref
cons
nil
cons
cons
3776
def
85
ref
subst
3776
remove
138
ref
subst
3730
ref
381
ref
appTerm
betaConv
sym
3729
ref
383
ref
appTerm
betaConv
sym
3728
ref
assume
3777
def
eqMp
23
ref
5
ref
3729
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
3730
ref
nil
cons
cons
3778
def
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
3775
ref
cons
106
ref
3740
ref
cons
nil
cons
3779
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
3760
ref
nil
cons
3780
def
cons
3741
ref
cons
nil
cons
cons
3781
def
85
ref
subst
3781
remove
138
ref
subst
239
ref
nil
3145
remove
3741
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
3153
remove
3757
ref
appThm
sym
nil
5
ref
1455
ref
69
ref
3156
remove
1456
ref
appTerm
3782
def
appTerm
3731
ref
appTerm
3783
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1455
ref
nil
50
ref
3783
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3782
ref
nil
cons
3784
def
cons
3741
ref
cons
nil
cons
cons
3785
def
85
ref
subst
3785
remove
138
ref
subst
3782
ref
betaConv
3782
remove
assume
eqMp
nil
67
ref
10
ref
1457
ref
215
ref
appTerm
appTerm
19
ref
appTerm
3786
def
nil
cons
cons
3741
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
2199
ref
1456
ref
appTerm
3787
def
betaConv
2202
ref
nil
2203
ref
68
ref
3787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2204
ref
130
ref
1491
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
600
ref
10
ref
1456
ref
appTerm
3788
def
17
ref
appTerm
3789
def
appTerm
947
ref
436
ref
3788
remove
1642
ref
appTerm
3790
def
absTerm
3791
def
appTerm
3792
def
appTerm
nil
cons
3793
def
cons
68
ref
69
ref
3786
remove
appTerm
3731
ref
appTerm
3794
def
nil
cons
3795
def
cons
nil
cons
3796
def
cons
nil
cons
cons
3797
def
129
ref
subst
proveHyp
3797
ref
85
ref
subst
3797
remove
138
ref
subst
nil
5
ref
436
ref
69
ref
3791
ref
437
ref
appTerm
3798
def
appTerm
3794
ref
appTerm
3799
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
3799
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3798
ref
nil
cons
3800
def
cons
3796
ref
cons
nil
cons
cons
3801
def
85
ref
subst
3801
remove
138
ref
subst
3798
ref
betaConv
3798
remove
assume
eqMp
nil
67
ref
3790
ref
nil
cons
3802
def
cons
3796
ref
cons
nil
cons
cons
3803
def
129
ref
subst
proveHyp
3803
ref
85
ref
subst
3803
remove
138
ref
subst
28
ref
"_29522"
1
ref
var
3804
def
69
ref
10
ref
392
ref
3804
remove
varTerm
appTerm
215
ref
appTerm
appTerm
19
ref
appTerm
appTerm
3731
ref
appTerm
absTerm
3805
def
1456
ref
appTerm
3806
def
appTerm
refl
3805
ref
1642
ref
appTerm
betaConv
appThm
108
ref
3806
remove
betaConv
appThm
69
ref
10
ref
392
ref
1642
ref
appTerm
215
ref
appTerm
appTerm
19
ref
appTerm
3807
def
appTerm
3731
ref
appTerm
refl
appThm
trans
3805
remove
refl
3790
remove
assume
appThm
eqMp
sym
nil
67
ref
3807
ref
nil
cons
3808
def
cons
3741
remove
cons
nil
cons
cons
3809
def
85
ref
subst
3809
remove
138
ref
subst
3730
remove
1482
ref
2879
ref
437
ref
appTerm
3810
def
appTerm
3811
def
appTerm
betaConv
sym
379
ref
3727
remove
392
ref
3811
ref
appTerm
19
ref
appTerm
appTerm
absTerm
3812
def
3028
ref
383
ref
appTerm
3813
def
appTerm
betaConv
sym
10
ref
390
ref
392
ref
3813
ref
appTerm
200
ref
appTerm
3814
def
appTerm
215
ref
appTerm
appTerm
refl
3815
def
nil
1464
ref
1419
ref
3810
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1525
ref
437
ref
appTerm
3816
def
betaConv
1527
ref
1420
ref
appTerm
3817
def
betaConv
1529
ref
nil
67
ref
1528
remove
nil
cons
cons
68
ref
3817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1527
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1526
remove
nil
cons
cons
68
ref
3816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1525
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3818
def
subst
appThm
sym
3815
ref
390
ref
392
ref
3810
remove
appTerm
19
ref
appTerm
3819
def
appTerm
3820
def
refl
3821
def
3807
remove
assume
sym
appThm
appThm
sym
3815
ref
3821
remove
nil
3185
ref
2245
ref
cons
nil
cons
cons
3818
remove
subst
appThm
appThm
sym
3815
remove
nil
3746
ref
436
ref
3028
ref
215
ref
appTerm
3822
def
nil
cons
3823
def
cons
1419
ref
3819
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1548
ref
1534
ref
appTerm
3824
def
betaConv
1550
ref
437
ref
appTerm
3825
def
betaConv
1552
ref
1420
ref
appTerm
3826
def
betaConv
1554
remove
nil
67
ref
1553
remove
nil
cons
cons
68
ref
3826
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1552
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1551
remove
nil
cons
cons
68
ref
3825
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1550
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
1549
remove
nil
cons
cons
68
ref
3824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
1548
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3827
def
subst
appThm
nil
436
ref
3820
remove
3822
ref
appTerm
nil
cons
cons
3746
ref
1419
ref
3814
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
436
ref
28
ref
2459
remove
1536
ref
appTerm
appTerm
2247
ref
appTerm
absTerm
3828
def
437
ref
appTerm
3829
def
betaConv
1419
ref
65
ref
3828
ref
appTerm
3830
def
absTerm
3831
def
1420
ref
appTerm
3832
def
betaConv
1530
ref
65
ref
3831
ref
appTerm
3833
def
absTerm
3834
def
1534
ref
appTerm
3835
def
betaConv
nil
65
ref
3834
ref
appTerm
3836
def
axiom
nil
67
ref
3836
remove
nil
cons
cons
68
ref
3835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3834
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3833
remove
nil
cons
cons
68
ref
3832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3831
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3830
remove
nil
cons
cons
68
ref
3829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3828
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3837
def
subst
trans
sym
338
ref
nil
1925
ref
3070
ref
2245
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
1463
ref
nil
3026
ref
2887
ref
cons
3838
def
nil
cons
cons
3839
def
3069
ref
subst
appThm
3822
ref
refl
appThm
appThm
sym
28
ref
"_29528"
1
ref
var
3840
def
10
ref
3028
ref
3840
remove
varTerm
appTerm
appTerm
390
ref
2879
ref
3028
ref
19
ref
appTerm
3841
def
appTerm
3842
def
appTerm
3822
remove
appTerm
3843
def
appTerm
absTerm
3844
def
2899
ref
appTerm
3845
def
appTerm
refl
3844
ref
3759
ref
appTerm
betaConv
appThm
108
ref
3845
remove
betaConv
appThm
10
ref
3028
ref
3759
remove
appTerm
appTerm
3843
ref
appTerm
refl
appThm
trans
3844
remove
refl
3760
remove
assume
sym
appThm
eqMp
sym
338
ref
nil
3746
ref
3075
remove
2245
ref
cons
cons
nil
cons
cons
3005
ref
subst
appThm
3843
remove
refl
appThm
nil
436
ref
3842
remove
nil
cons
cons
1530
ref
3823
remove
cons
1419
ref
3028
ref
2897
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3837
ref
subst
trans
sym
338
ref
nil
3026
ref
3058
ref
2245
ref
cons
3846
def
cons
nil
cons
cons
3043
ref
subst
appThm
3839
remove
3043
ref
subst
appThm
sym
929
ref
nil
3846
remove
nil
cons
cons
3057
ref
subst
appThm
821
ref
appThm
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
3812
remove
nil
cons
cons
130
ref
3813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
3778
remove
130
ref
3811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
3808
remove
cons
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3802
remove
cons
106
ref
3795
ref
cons
nil
cons
3847
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3800
remove
cons
3847
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3791
ref
1710
ref
appTerm
appTerm
3794
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3792
ref
appTerm
3794
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3791
remove
nil
cons
cons
3847
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
nil
67
ref
3789
ref
nil
cons
3848
def
cons
3796
remove
cons
nil
cons
cons
3849
def
85
ref
subst
3849
remove
138
ref
subst
151
ref
338
ref
929
ref
3789
ref
assume
appThm
752
ref
appThm
nil
3185
ref
nil
cons
nil
cons
cons
1472
ref
subst
trans
appThm
821
ref
appThm
447
ref
592
ref
19
ref
appTerm
3850
def
assume
sym
2865
ref
sym
deductAntisym
appThm
883
ref
assume
eqMp
nil
67
ref
418
ref
3850
ref
appTerm
nil
cons
cons
68
ref
28
ref
3850
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
3850
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
3851
def
trans
appThm
3757
remove
appThm
nil
50
ref
3740
ref
cons
nil
cons
nil
cons
cons
50
ref
28
ref
480
ref
52
ref
appTerm
appTerm
40
ref
appTerm
absTerm
3852
def
52
ref
appTerm
3853
def
betaConv
nil
165
ref
3852
ref
appTerm
3854
def
axiom
nil
67
ref
3854
remove
nil
cons
cons
68
ref
3853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
3852
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3855
def
subst
trans
sym
55
ref
eqMp
eqMp
nil
104
ref
3848
remove
cons
3856
def
3847
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
3856
ref
106
ref
3792
remove
nil
cons
cons
612
ref
3795
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
eqMp
nil
104
ref
3793
remove
cons
3847
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3784
remove
cons
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
3256
remove
3731
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
3257
remove
3731
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3258
remove
3779
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3780
remove
cons
3857
def
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
3857
remove
106
ref
3775
remove
cons
3858
def
612
ref
3740
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
eqMp
nil
104
ref
3773
remove
cons
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3771
remove
cons
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3762
ref
1710
ref
appTerm
appTerm
3731
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3763
remove
appTerm
3731
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3762
remove
nil
cons
cons
3779
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3767
remove
cons
3779
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3764
ref
1710
ref
appTerm
appTerm
3731
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
3764
ref
appTerm
appTerm
3731
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3764
remove
nil
cons
cons
3779
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1649
ref
3779
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
3859
def
eqMp
absThm
eqMp
3860
def
eqMp
absThm
eqMp
3861
def
eqMp
3862
def
nil
67
ref
65
ref
3721
ref
appTerm
3863
def
nil
cons
cons
3864
def
68
ref
3722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3721
ref
nil
cons
cons
3865
def
130
ref
1827
ref
cons
nil
cons
3866
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
3719
ref
appTerm
nil
cons
cons
68
ref
3720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3719
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3716
remove
947
ref
378
ref
947
ref
379
ref
10
ref
390
ref
3280
ref
appTerm
3867
def
3654
remove
appTerm
appTerm
3718
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
3692
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
447
ref
nil
3711
remove
68
ref
28
ref
3708
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
104
ref
3708
ref
nil
cons
3868
def
cons
3869
def
nil
cons
nil
cons
cons
487
ref
subst
eqMp
appThm
490
ref
trans
appThm
976
ref
378
ref
976
ref
379
ref
338
ref
3867
ref
refl
3870
def
3655
remove
assume
appThm
appThm
3718
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3867
ref
359
ref
appTerm
3871
def
appTerm
3872
def
3718
remove
appTerm
absTerm
appTerm
absTerm
3873
def
appTerm
3874
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
3659
ref
refl
appThm
sym
877
ref
445
ref
947
ref
378
ref
947
ref
379
ref
10
ref
390
ref
3386
ref
appTerm
16
ref
878
ref
appTerm
200
ref
appTerm
appTerm
appTerm
3278
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
3875
def
19
ref
appTerm
3876
def
betaConv
3721
remove
200
ref
appTerm
3877
def
betaConv
3862
ref
nil
3864
remove
68
ref
3877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3865
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
3875
ref
appTerm
nil
cons
cons
68
ref
3876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3875
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
445
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3867
ref
215
ref
appTerm
appTerm
3278
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
68
ref
69
ref
3874
remove
appTerm
3659
ref
appTerm
3878
def
nil
cons
3879
def
cons
nil
cons
3880
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
492
ref
976
ref
378
ref
976
ref
379
ref
338
ref
3870
ref
2938
ref
appThm
appThm
3278
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
3872
ref
3278
ref
appTerm
3881
def
absTerm
3882
def
appTerm
3883
def
absTerm
3884
def
appTerm
3885
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
3878
ref
refl
appThm
sym
3390
ref
878
ref
appTerm
3886
def
betaConv
3382
remove
200
ref
appTerm
3887
def
betaConv
3395
remove
nil
3744
remove
68
ref
3887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3745
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
3390
ref
appTerm
nil
cons
cons
68
ref
3886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3390
remove
nil
cons
cons
3866
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3389
remove
nil
cons
cons
68
ref
69
ref
3885
remove
appTerm
3878
ref
appTerm
3888
def
nil
cons
3889
def
cons
nil
cons
3890
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
976
ref
378
ref
976
ref
379
ref
3387
ref
refl
3652
remove
assume
appThm
absThm
appThm
absThm
appThm
appThm
3888
ref
refl
appThm
sym
nil
5
ref
130
ref
69
ref
378
ref
947
ref
379
ref
3387
remove
359
ref
appTerm
absTerm
appTerm
absTerm
3891
def
1710
ref
appTerm
3892
def
appTerm
3888
ref
appTerm
3893
def
absTerm
3894
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
3893
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3892
ref
nil
cons
3895
def
cons
3890
ref
cons
nil
cons
cons
3896
def
85
ref
subst
3896
remove
138
ref
subst
3892
ref
betaConv
3892
remove
assume
eqMp
nil
67
ref
947
ref
379
ref
10
ref
2878
ref
392
ref
1710
ref
appTerm
3897
def
200
ref
appTerm
3898
def
appTerm
3899
def
3386
remove
appTerm
appTerm
359
ref
appTerm
absTerm
3900
def
appTerm
3901
def
nil
cons
cons
3890
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
847
ref
69
ref
3900
ref
1404
ref
appTerm
3902
def
appTerm
3888
ref
appTerm
3903
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
3903
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3902
ref
nil
cons
3904
def
cons
3890
ref
cons
nil
cons
cons
3905
def
85
ref
subst
3905
remove
138
ref
subst
3902
ref
betaConv
3902
remove
assume
eqMp
nil
67
ref
10
ref
3899
remove
392
ref
1404
ref
appTerm
3906
def
878
ref
appTerm
3907
def
appTerm
appTerm
359
ref
appTerm
3908
def
nil
cons
3909
def
cons
3890
ref
cons
nil
cons
cons
3910
def
129
ref
subst
proveHyp
3910
ref
85
ref
subst
3910
remove
138
ref
subst
nil
5
ref
378
ref
69
ref
3884
ref
381
ref
appTerm
3911
def
appTerm
3878
ref
appTerm
3912
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
3912
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3911
ref
nil
cons
3913
def
cons
3880
ref
cons
nil
cons
cons
3914
def
85
ref
subst
3914
remove
138
ref
subst
3911
ref
betaConv
3911
remove
assume
eqMp
nil
67
ref
3883
ref
nil
cons
cons
3880
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
3882
ref
383
ref
appTerm
3915
def
appTerm
3878
ref
appTerm
3916
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
3916
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3915
ref
nil
cons
3917
def
cons
3880
ref
cons
nil
cons
cons
3918
def
85
ref
subst
3918
remove
138
ref
subst
3915
ref
betaConv
3915
remove
assume
eqMp
nil
67
ref
3881
ref
nil
cons
3919
def
cons
3880
ref
cons
nil
cons
cons
3920
def
129
ref
subst
proveHyp
3920
ref
85
ref
subst
3920
remove
138
ref
subst
nil
5
ref
1530
ref
69
ref
3873
ref
1534
ref
appTerm
3921
def
appTerm
3659
ref
appTerm
3922
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
3922
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3921
ref
nil
cons
3923
def
cons
3692
ref
cons
nil
cons
cons
3924
def
85
ref
subst
3924
remove
138
ref
subst
3921
ref
betaConv
3921
remove
assume
eqMp
nil
67
ref
947
ref
379
ref
3872
ref
392
ref
1534
ref
appTerm
3925
def
878
ref
appTerm
3926
def
appTerm
absTerm
3927
def
appTerm
3928
def
nil
cons
cons
3692
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
"q"
1
ref
var
3929
def
69
ref
3927
ref
3929
ref
varTerm
3930
def
appTerm
3931
def
appTerm
3659
ref
appTerm
3932
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
3929
ref
nil
50
ref
3932
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3931
ref
nil
cons
3933
def
cons
3692
ref
cons
nil
cons
cons
3934
def
85
ref
subst
3934
remove
138
ref
subst
3931
ref
betaConv
3931
remove
assume
eqMp
nil
67
ref
10
ref
390
ref
392
ref
3930
ref
appTerm
3935
def
19
ref
appTerm
3936
def
appTerm
359
ref
appTerm
3937
def
appTerm
3938
def
3926
ref
appTerm
3939
def
nil
cons
3940
def
cons
3692
ref
cons
nil
cons
cons
3941
def
129
ref
subst
proveHyp
3941
ref
85
ref
subst
3941
remove
138
ref
subst
378
ref
947
ref
379
ref
10
ref
2898
ref
2881
ref
3657
ref
appTerm
3942
def
appTerm
appTerm
359
ref
appTerm
absTerm
appTerm
absTerm
3943
def
2878
ref
3897
ref
3205
ref
3930
ref
appTerm
3944
def
appTerm
3945
def
appTerm
3906
ref
3202
ref
383
ref
appTerm
3946
def
appTerm
3947
def
appTerm
3948
def
appTerm
betaConv
sym
3321
ref
10
ref
2878
ref
392
ref
3948
ref
appTerm
19
ref
appTerm
appTerm
3323
ref
3657
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
3949
def
2878
ref
3897
ref
1534
ref
appTerm
3950
def
appTerm
3906
ref
381
ref
appTerm
3951
def
appTerm
3952
def
appTerm
betaConv
sym
338
ref
2886
ref
nil
3026
ref
436
ref
3947
ref
nil
cons
cons
1419
ref
3945
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
436
ref
10
ref
392
ref
3330
ref
appTerm
1534
ref
appTerm
appTerm
2878
ref
2995
ref
appTerm
3029
ref
appTerm
appTerm
absTerm
3953
def
437
ref
appTerm
3954
def
betaConv
1419
ref
65
ref
3953
ref
appTerm
3955
def
absTerm
3956
def
1420
ref
appTerm
3957
def
betaConv
1530
ref
65
ref
3956
ref
appTerm
3958
def
absTerm
3959
def
1534
ref
appTerm
3960
def
betaConv
nil
65
ref
3959
ref
appTerm
3961
def
axiom
nil
67
ref
3961
remove
nil
cons
cons
68
ref
3960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3959
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3958
remove
nil
cons
cons
68
ref
3957
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3956
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3955
remove
nil
cons
cons
68
ref
3954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3953
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3962
def
subst
appThm
nil
1530
ref
3657
ref
nil
cons
3963
def
cons
3964
def
436
ref
3951
ref
nil
cons
3965
def
cons
3966
def
1419
ref
3950
ref
nil
cons
cons
nil
cons
3967
def
cons
cons
nil
cons
cons
3962
remove
subst
appThm
appThm
662
ref
appThm
sym
847
ref
57
ref
10
ref
392
ref
3950
remove
appTerm
3657
ref
appTerm
3968
def
appTerm
3969
def
1404
ref
appTerm
appTerm
1405
ref
390
ref
392
ref
3945
remove
appTerm
19
ref
appTerm
3970
def
appTerm
3971
def
3898
ref
appTerm
3972
def
appTerm
appTerm
absTerm
3973
def
392
ref
3898
ref
appTerm
3974
def
3926
ref
appTerm
3975
def
appTerm
betaConv
sym
338
ref
nil
1530
ref
1827
ref
cons
3976
def
1591
ref
3967
remove
cons
cons
nil
cons
cons
3043
ref
subst
appThm
nil
3976
ref
2373
ref
1419
ref
3898
ref
nil
cons
3977
def
cons
nil
cons
3978
def
cons
cons
nil
cons
cons
3043
ref
subst
appThm
sym
929
ref
338
ref
nil
1925
ref
2373
ref
1419
ref
1710
ref
nil
cons
3979
def
cons
nil
cons
3980
def
cons
cons
nil
cons
cons
3069
ref
subst
appThm
nil
1591
ref
3980
ref
cons
3981
def
nil
cons
cons
3069
ref
subst
appThm
sym
3897
ref
refl
3982
def
nil
1591
ref
2410
ref
cons
nil
cons
cons
3057
ref
subst
appThm
eqMp
appThm
878
ref
refl
3983
def
appThm
eqMp
nil
67
ref
3969
ref
3975
ref
appTerm
nil
cons
cons
68
ref
10
ref
3975
ref
appTerm
3972
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
28
ref
"_29548"
1
ref
var
3984
def
10
ref
3974
ref
3984
remove
varTerm
appTerm
appTerm
3972
ref
appTerm
absTerm
3985
def
3926
remove
appTerm
3986
def
appTerm
refl
3985
ref
3937
ref
appTerm
betaConv
appThm
108
ref
3986
remove
betaConv
appThm
10
ref
3974
ref
3937
ref
appTerm
appTerm
3972
ref
appTerm
refl
appThm
trans
3985
remove
refl
3939
remove
assume
sym
appThm
eqMp
sym
338
ref
nil
1530
ref
629
remove
cons
3987
def
436
ref
3936
ref
nil
cons
3988
def
cons
3978
ref
cons
cons
nil
cons
cons
3005
ref
subst
390
ref
3974
remove
3936
ref
appTerm
3989
def
appTerm
refl
nil
3978
ref
nil
cons
cons
2621
ref
subst
appThm
trans
appThm
3972
ref
refl
appThm
sym
nil
436
ref
3970
ref
nil
cons
3990
def
cons
3991
def
1530
ref
3977
remove
cons
3992
def
1419
ref
3989
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3837
ref
subst
338
ref
nil
1530
ref
3988
ref
cons
3981
remove
cons
nil
cons
cons
3069
ref
subst
appThm
nil
3026
ref
436
ref
3944
remove
nil
cons
cons
3980
ref
cons
cons
nil
cons
cons
3069
ref
subst
3982
remove
nil
3026
ref
436
ref
3930
ref
nil
cons
3993
def
cons
1916
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
trans
appThm
nil
130
ref
3897
ref
3205
ref
3936
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
3973
ref
nil
cons
cons
130
ref
3975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3973
remove
appTerm
nil
cons
cons
68
ref
3969
remove
3972
ref
appTerm
3994
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
ref
3972
ref
nil
cons
cons
130
ref
3968
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1708
ref
subst
eqMp
28
ref
"_29546"
1
ref
var
3995
def
10
ref
2878
ref
2878
ref
3970
ref
appTerm
392
ref
3947
remove
appTerm
19
ref
appTerm
3996
def
appTerm
appTerm
3997
def
2878
ref
3995
remove
varTerm
appTerm
392
ref
3951
remove
appTerm
3998
def
3657
ref
appTerm
3999
def
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4000
def
3968
remove
appTerm
4001
def
appTerm
refl
4000
ref
3972
ref
appTerm
betaConv
appThm
108
ref
4001
remove
betaConv
appThm
10
ref
3997
ref
2878
ref
3972
remove
appTerm
4002
def
3999
ref
appTerm
appTerm
appTerm
359
ref
appTerm
refl
appThm
trans
4000
remove
refl
3994
remove
assume
appThm
eqMp
sym
"y'"
1
ref
var
4003
def
57
ref
10
ref
3999
ref
appTerm
4004
def
4003
remove
varTerm
4005
def
appTerm
appTerm
10
ref
4005
remove
appTerm
390
ref
3996
ref
appTerm
4006
def
3907
ref
appTerm
4007
def
appTerm
appTerm
absTerm
4008
def
3906
ref
392
ref
3278
ref
appTerm
878
ref
appTerm
appTerm
4009
def
appTerm
betaConv
sym
338
ref
nil
3976
ref
1591
ref
1419
ref
3965
remove
cons
nil
cons
cons
cons
nil
cons
cons
3043
ref
subst
appThm
nil
3976
ref
3326
remove
1419
ref
1404
ref
nil
cons
4010
def
cons
nil
cons
4011
def
cons
cons
nil
cons
cons
3043
ref
subst
929
ref
nil
1925
ref
3058
ref
4011
ref
cons
4012
def
cons
nil
cons
cons
3043
ref
subst
appThm
3983
ref
appThm
trans
appThm
nil
130
ref
392
ref
3998
ref
200
ref
appTerm
appTerm
878
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
nil
67
ref
4004
ref
4009
ref
appTerm
nil
cons
cons
68
ref
10
ref
4009
ref
appTerm
4007
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
28
ref
"_29552"
1
ref
var
4013
def
10
ref
3906
ref
392
ref
4013
remove
varTerm
appTerm
878
ref
appTerm
appTerm
appTerm
4007
ref
appTerm
absTerm
4014
def
3278
ref
appTerm
4015
def
appTerm
refl
4014
ref
3871
ref
appTerm
betaConv
appThm
108
ref
4015
remove
betaConv
appThm
10
ref
3906
ref
392
ref
3871
remove
appTerm
878
ref
appTerm
appTerm
appTerm
4007
ref
appTerm
refl
appThm
trans
4014
remove
refl
3881
remove
assume
sym
appThm
eqMp
sym
338
ref
3906
ref
refl
4016
def
nil
3976
ref
2360
ref
3328
remove
cons
cons
nil
cons
cons
3365
ref
subst
390
ref
392
ref
3280
remove
appTerm
878
ref
appTerm
4017
def
appTerm
refl
nil
1419
ref
1827
ref
cons
nil
cons
4018
def
nil
cons
cons
3222
ref
subst
appThm
trans
appThm
nil
3976
ref
436
ref
4017
ref
nil
cons
cons
4011
ref
cons
cons
nil
cons
cons
3005
ref
subst
trans
appThm
4007
ref
refl
4019
def
appThm
sym
nil
436
ref
3996
ref
nil
cons
4020
def
cons
4021
def
1530
ref
3907
ref
nil
cons
4022
def
cons
4023
def
1419
ref
3906
ref
4017
remove
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3837
ref
subst
338
ref
4016
ref
nil
3976
ref
1464
ref
2888
ref
cons
4024
def
cons
nil
cons
cons
4025
def
3069
ref
subst
appThm
appThm
nil
3026
ref
436
ref
3946
remove
nil
cons
cons
4011
ref
cons
cons
nil
cons
cons
3069
ref
subst
4016
ref
nil
3026
ref
3070
ref
4018
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
trans
appThm
trans
sym
4016
remove
10
ref
2881
ref
2947
ref
878
ref
appTerm
appTerm
appTerm
refl
nil
436
ref
3327
remove
cons
4018
remove
cons
nil
cons
cons
3057
ref
subst
appThm
sym
4025
remove
3043
ref
subst
eqMp
appThm
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
4008
ref
nil
cons
cons
130
ref
4009
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4008
remove
appTerm
nil
cons
cons
68
ref
4004
remove
4007
ref
appTerm
4026
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
ref
4007
ref
nil
cons
cons
130
ref
3999
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1708
ref
subst
eqMp
28
ref
"_29550"
1
ref
var
4027
def
10
ref
3997
ref
4002
ref
4027
remove
varTerm
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4028
def
3999
remove
appTerm
4029
def
appTerm
refl
4028
ref
4007
ref
appTerm
betaConv
appThm
108
ref
4029
remove
betaConv
appThm
10
ref
3997
ref
4002
ref
4007
ref
appTerm
appTerm
appTerm
359
ref
appTerm
4030
def
refl
appThm
trans
4028
remove
refl
4026
remove
assume
appThm
eqMp
sym
nil
67
ref
10
ref
2604
ref
3907
ref
appTerm
4031
def
appTerm
3898
ref
appTerm
4032
def
nil
cons
4033
def
cons
68
ref
4030
remove
nil
cons
4034
def
cons
nil
cons
4035
def
cons
nil
cons
cons
4036
def
85
ref
subst
4036
remove
138
ref
subst
28
ref
"_29556"
1
ref
var
4037
def
10
ref
3997
ref
2878
ref
3971
ref
4037
remove
varTerm
appTerm
appTerm
4007
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4038
def
3898
ref
appTerm
4039
def
appTerm
refl
4038
ref
4031
ref
appTerm
betaConv
appThm
108
ref
4039
remove
betaConv
appThm
10
ref
3997
ref
2878
ref
3971
ref
4031
remove
appTerm
appTerm
4007
remove
appTerm
appTerm
appTerm
359
ref
appTerm
refl
appThm
trans
4038
remove
refl
4032
remove
assume
sym
appThm
eqMp
sym
338
ref
3997
ref
refl
4040
def
2886
ref
nil
4023
ref
2360
ref
1419
ref
3990
remove
cons
nil
cons
4041
def
cons
cons
nil
cons
cons
3827
ref
subst
appThm
4019
remove
appThm
nil
4021
ref
4023
remove
1419
ref
3971
remove
359
ref
appTerm
4042
def
nil
cons
cons
nil
cons
4043
def
cons
cons
nil
cons
cons
3378
ref
subst
trans
appThm
appThm
662
ref
appThm
sym
338
ref
2886
remove
nil
4021
ref
4041
ref
cons
nil
cons
cons
4044
def
3338
ref
subst
appThm
2878
ref
4042
remove
appTerm
3996
ref
appTerm
refl
appThm
appThm
662
ref
appThm
sym
338
ref
2878
ref
2878
ref
3996
remove
appTerm
3970
remove
appTerm
appTerm
refl
nil
4021
remove
4043
remove
cons
nil
cons
cons
3338
remove
subst
appThm
appThm
662
ref
appThm
sym
nil
3991
remove
1419
ref
4020
remove
cons
nil
cons
4045
def
cons
nil
cons
cons
436
ref
10
ref
2878
ref
3330
remove
appTerm
3329
remove
1496
ref
359
ref
appTerm
4046
def
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4047
def
437
ref
appTerm
4048
def
betaConv
1419
ref
65
ref
4047
ref
appTerm
4049
def
absTerm
4050
def
1420
ref
appTerm
4051
def
betaConv
nil
65
ref
4050
ref
appTerm
4052
def
axiom
nil
67
ref
4052
remove
nil
cons
cons
68
ref
4051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4050
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4049
remove
nil
cons
cons
68
ref
4048
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4047
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4053
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4033
ref
cons
106
ref
4034
ref
cons
nil
cons
4054
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
10
ref
2604
ref
3898
ref
appTerm
4055
def
appTerm
3907
ref
appTerm
4056
def
nil
cons
4057
def
cons
4035
remove
cons
nil
cons
cons
4058
def
85
ref
subst
4058
remove
138
ref
subst
28
ref
"_29554"
1
ref
var
4059
def
10
ref
3997
ref
4002
ref
4006
ref
4059
remove
varTerm
appTerm
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4060
def
3907
ref
appTerm
4061
def
appTerm
refl
4060
ref
4055
ref
appTerm
betaConv
appThm
108
ref
4061
remove
betaConv
appThm
10
ref
3997
remove
4002
ref
4006
ref
4055
remove
appTerm
appTerm
appTerm
appTerm
359
ref
appTerm
refl
appThm
trans
4060
remove
refl
4056
remove
assume
sym
appThm
eqMp
sym
4040
remove
4002
remove
refl
nil
3992
ref
2360
ref
4045
remove
cons
cons
nil
cons
cons
3827
ref
subst
appThm
nil
436
ref
4006
remove
359
ref
appTerm
nil
cons
cons
3992
remove
4041
remove
cons
cons
nil
cons
cons
3378
remove
subst
trans
appThm
4044
remove
4053
remove
subst
trans
eqMp
eqMp
nil
104
ref
4057
remove
cons
4062
def
4054
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2212
ref
338
ref
nil
2360
ref
3978
ref
cons
nil
cons
cons
1521
ref
subst
appThm
3907
remove
refl
appThm
appThm
338
ref
nil
2360
ref
1419
ref
4022
ref
cons
nil
cons
cons
nil
cons
cons
1521
ref
subst
appThm
3898
remove
refl
appThm
appThm
nil
3987
ref
436
ref
4022
remove
cons
3978
remove
cons
cons
nil
cons
cons
3756
ref
subst
3908
remove
assume
eqMp
eqMp
nil
4062
remove
106
ref
4033
remove
cons
612
ref
4034
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
proveHyp
eqMp
proveHyp
eqMp
eqMp
23
ref
5
ref
3949
remove
nil
cons
cons
130
ref
3952
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
3943
ref
nil
cons
cons
130
ref
3948
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
3943
remove
appTerm
nil
cons
cons
3692
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
3963
ref
cons
nil
cons
nil
cons
cons
192
ref
69
ref
947
ref
378
ref
947
ref
379
ref
3287
ref
359
ref
appTerm
4063
def
absTerm
4064
def
appTerm
4065
def
absTerm
4066
def
appTerm
4067
def
appTerm
4068
def
2895
ref
appTerm
4069
def
absTerm
4070
def
200
ref
appTerm
4071
def
betaConv
6
ref
65
ref
4070
ref
appTerm
4072
def
absTerm
4073
def
19
ref
appTerm
4074
def
betaConv
nil
5
ref
6
ref
65
ref
192
ref
65
ref
378
ref
65
ref
379
ref
69
ref
4063
ref
appTerm
2895
ref
appTerm
4075
def
absTerm
4076
def
appTerm
4077
def
absTerm
4078
def
appTerm
4079
def
absTerm
4080
def
appTerm
4081
def
absTerm
4082
def
nil
cons
cons
4083
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4081
remove
nil
cons
4084
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4080
ref
nil
cons
cons
4085
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4079
remove
nil
cons
4086
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4078
ref
nil
cons
cons
4087
def
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4077
remove
nil
cons
4088
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4076
ref
nil
cons
cons
4089
def
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4075
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4063
ref
nil
cons
4090
def
cons
4091
def
3243
ref
cons
nil
cons
cons
4092
def
85
ref
subst
4092
ref
138
ref
subst
3174
remove
3533
remove
subst
sym
28
ref
"_29540"
1
ref
var
4093
def
228
ref
4093
remove
varTerm
appTerm
absTerm
359
ref
appTerm
4094
def
appTerm
refl
"_29536"
1
ref
var
4095
def
228
remove
4095
remove
varTerm
appTerm
absTerm
4096
def
2900
remove
appTerm
betaConv
4097
def
appThm
108
ref
4094
remove
betaConv
appThm
2901
remove
refl
4098
def
appThm
trans
4096
ref
refl
4099
def
4063
remove
assume
sym
appThm
eqMp
sym
3101
remove
3103
remove
3119
remove
3111
ref
19
ref
appTerm
4100
def
betaConv
3264
remove
nil
67
ref
3113
remove
cons
68
ref
4100
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3111
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3110
remove
nil
cons
cons
68
ref
3118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3109
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3104
remove
proveHyp
3105
remove
eqMp
eqMp
3106
remove
proveHyp
3107
remove
eqMp
eqMp
4101
def
eqMp
eqMp
eqMp
nil
104
ref
4090
remove
cons
4102
def
3247
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4103
def
nil
67
ref
65
ref
4082
ref
appTerm
4104
def
nil
cons
4105
def
cons
4106
def
68
ref
65
ref
4073
ref
appTerm
nil
cons
4107
def
cons
nil
cons
cons
nil
cons
cons
4108
def
129
ref
subst
proveHyp
4108
ref
85
ref
subst
4108
remove
138
ref
subst
nil
5
ref
4073
remove
nil
cons
cons
4109
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4072
remove
nil
cons
4110
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4070
remove
nil
cons
cons
4111
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4069
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4067
remove
nil
cons
4112
def
cons
4113
def
3243
ref
cons
nil
cons
cons
4114
def
85
ref
subst
4114
remove
138
ref
subst
nil
4106
ref
3243
ref
cons
nil
cons
cons
4115
def
129
ref
subst
nil
4113
remove
68
ref
69
ref
4104
ref
appTerm
2895
ref
appTerm
4116
def
nil
cons
4117
def
cons
nil
cons
4118
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
378
ref
69
ref
4066
ref
381
ref
appTerm
4119
def
appTerm
4116
ref
appTerm
4120
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4120
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4119
ref
nil
cons
4121
def
cons
4118
ref
cons
nil
cons
cons
4122
def
85
ref
subst
4122
remove
138
ref
subst
4119
ref
betaConv
4119
remove
assume
eqMp
nil
67
ref
4065
ref
nil
cons
cons
4118
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
4064
ref
383
ref
appTerm
4123
def
appTerm
4116
ref
appTerm
4124
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4124
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4123
ref
nil
cons
4125
def
cons
4118
ref
cons
nil
cons
cons
4126
def
85
ref
subst
4126
remove
138
ref
subst
4123
ref
betaConv
4123
remove
assume
eqMp
nil
4091
remove
4118
remove
cons
nil
cons
cons
4127
def
129
ref
subst
proveHyp
4127
ref
85
ref
subst
4127
remove
138
ref
subst
4115
ref
85
ref
subst
4115
remove
138
ref
subst
4092
remove
129
ref
subst
4076
remove
383
ref
appTerm
4128
def
betaConv
4078
remove
381
ref
appTerm
4129
def
betaConv
4080
remove
200
ref
appTerm
4130
def
betaConv
4082
remove
19
ref
appTerm
4131
def
betaConv
nil
4106
remove
68
ref
4131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
4083
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4084
remove
cons
68
ref
4130
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4085
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4086
remove
cons
68
ref
4129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4087
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4088
remove
cons
68
ref
4128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4089
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4105
remove
cons
4132
def
3247
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
4102
remove
106
ref
4117
remove
cons
nil
cons
4133
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4125
remove
cons
4133
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4064
ref
1710
ref
appTerm
appTerm
4116
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4065
remove
appTerm
4116
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4064
remove
nil
cons
cons
4133
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4121
remove
cons
4133
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4066
ref
1710
ref
appTerm
appTerm
4116
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
4068
remove
4116
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4066
remove
nil
cons
cons
4133
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4112
remove
cons
3247
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4132
remove
106
ref
4107
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
4107
remove
cons
68
ref
4074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4109
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4110
remove
cons
68
ref
4071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4111
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4134
def
subst
eqMp
eqMp
nil
104
ref
3940
remove
cons
106
ref
3690
ref
cons
nil
cons
4135
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3933
remove
cons
4135
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3927
ref
1710
ref
appTerm
appTerm
3659
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3928
remove
appTerm
3659
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3927
remove
nil
cons
cons
4135
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3923
remove
cons
4135
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3873
ref
1710
ref
appTerm
appTerm
3659
ref
appTerm
absTerm
appTerm
nil
cons
cons
3880
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3873
remove
nil
cons
cons
4135
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
nil
104
ref
3919
remove
cons
106
ref
3879
remove
cons
nil
cons
4136
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3917
remove
cons
4136
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3882
ref
1710
ref
appTerm
appTerm
3878
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3883
remove
appTerm
3878
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3882
remove
nil
cons
cons
4136
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3913
remove
cons
4136
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
3884
ref
1710
ref
appTerm
appTerm
3878
remove
appTerm
absTerm
appTerm
nil
cons
cons
3890
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3884
remove
nil
cons
cons
4136
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
nil
104
ref
3909
remove
cons
106
ref
3889
remove
cons
nil
cons
4137
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
3904
remove
cons
4137
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
"x'"
1
ref
var
4138
def
69
ref
3900
ref
4138
ref
varTerm
4139
def
appTerm
appTerm
3888
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
3901
remove
appTerm
3888
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3900
remove
nil
cons
cons
4137
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
3895
remove
cons
4137
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
3894
remove
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
3891
ref
appTerm
appTerm
3888
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3891
remove
nil
cons
cons
4137
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3694
ref
cons
4140
def
4135
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
2940
ref
106
ref
3700
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
3684
remove
cons
4141
def
106
ref
3703
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1649
ref
106
ref
3706
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
583
ref
106
ref
3712
ref
cons
nil
cons
4142
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
ref
3713
ref
cons
nil
cons
cons
4143
def
85
ref
subst
4143
remove
138
ref
subst
3723
ref
151
ref
338
ref
2864
ref
597
ref
appThm
3983
ref
appThm
appThm
662
ref
appThm
appThm
151
ref
338
ref
1446
ref
597
ref
appThm
appThm
662
ref
appThm
4144
def
appThm
3698
ref
refl
338
ref
1446
ref
929
ref
597
ref
appThm
3983
ref
appThm
nil
436
ref
1827
ref
cons
4145
def
nil
cons
nil
cons
cons
1472
ref
subst
trans
appThm
appThm
662
ref
appThm
appThm
appThm
appThm
appThm
sym
nil
1410
ref
68
ref
69
ref
10
ref
18
ref
878
ref
appTerm
appTerm
359
ref
appTerm
4146
def
appTerm
69
ref
3640
ref
appTerm
3698
remove
3640
remove
appTerm
4147
def
appTerm
4148
def
appTerm
nil
cons
4149
def
cons
nil
cons
cons
nil
cons
cons
4150
def
85
ref
subst
4150
remove
138
ref
subst
nil
67
ref
4146
remove
nil
cons
4151
def
cons
68
ref
4148
remove
nil
cons
4152
def
cons
nil
cons
cons
nil
cons
cons
4153
def
85
ref
subst
4153
remove
138
ref
subst
nil
67
ref
3647
ref
cons
68
ref
4147
remove
nil
cons
4154
def
cons
nil
cons
cons
nil
cons
cons
4155
def
85
ref
subst
4155
remove
138
ref
subst
nil
3696
remove
68
ref
3647
ref
cons
nil
cons
cons
nil
cons
cons
4156
def
85
ref
subst
4156
remove
138
ref
subst
3650
remove
eqMp
nil
4140
remove
3649
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
3648
remove
106
ref
4154
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
4151
remove
cons
106
ref
4152
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1649
ref
106
ref
4149
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
450
ref
4142
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
ref
nil
450
ref
611
ref
612
ref
3712
remove
cons
nil
cons
4157
def
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
3710
ref
cons
4142
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
3868
ref
cons
3713
remove
cons
nil
cons
cons
4158
def
85
ref
subst
4158
remove
138
ref
subst
3723
ref
151
ref
338
ref
3507
remove
3708
ref
assume
4159
def
appThm
appThm
662
ref
appThm
appThm
3117
ref
151
ref
338
ref
1446
ref
4159
ref
appThm
appThm
662
ref
appThm
appThm
338
ref
1446
ref
3205
ref
refl
4159
remove
appThm
3453
remove
trans
appThm
appThm
662
ref
appThm
appThm
nil
50
ref
3647
remove
cons
nil
cons
nil
cons
cons
4160
def
178
ref
subst
trans
appThm
nil
50
ref
2931
ref
cons
nil
cons
nil
cons
cons
4161
def
1342
ref
subst
trans
appThm
nil
50
ref
10
ref
633
ref
17
ref
appTerm
appTerm
359
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1342
ref
subst
trans
appThm
nil
50
ref
1409
remove
cons
nil
cons
nil
cons
cons
1342
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
3869
ref
4142
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
ref
3708
remove
appTerm
4162
def
betaConv
606
ref
nil
607
ref
68
ref
4162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
3868
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
3869
remove
106
ref
3710
remove
cons
4157
remove
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
3688
remove
cons
4135
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
4141
remove
106
ref
3686
ref
cons
nil
cons
4163
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
3665
remove
nil
cons
cons
68
ref
3682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3681
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3680
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3679
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
3678
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3677
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
877
ref
nil
50
ref
3676
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3666
remove
nil
cons
4164
def
cons
68
ref
3675
remove
nil
cons
4165
def
cons
nil
cons
cons
nil
cons
cons
4166
def
85
ref
subst
4166
remove
138
ref
subst
nil
916
ref
4163
remove
cons
nil
cons
cons
4167
def
120
ref
subst
4167
remove
224
ref
subst
nil
67
ref
3672
remove
nil
cons
4168
def
cons
68
ref
3674
ref
nil
cons
4169
def
cons
nil
cons
4170
def
cons
nil
cons
cons
4171
def
85
ref
subst
4171
remove
138
ref
subst
nil
104
ref
3668
ref
nil
cons
cons
106
ref
3671
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4172
def
120
ref
subst
4172
remove
224
ref
subst
nil
67
ref
3686
remove
cons
4170
ref
cons
nil
cons
cons
129
ref
subst
978
ref
10
ref
214
ref
3590
ref
200
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4173
def
152
ref
appTerm
betaConv
sym
3668
remove
assume
4174
def
eqMp
23
ref
5
ref
4173
ref
nil
cons
cons
261
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4173
remove
appTerm
nil
cons
cons
3243
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
3495
ref
3629
ref
subst
eqMp
nil
2932
ref
68
ref
3694
remove
cons
nil
cons
4175
def
cons
nil
cons
cons
138
ref
subst
proveHyp
978
ref
10
ref
214
ref
3590
ref
878
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4176
def
152
ref
appTerm
betaConv
sym
3671
remove
assume
eqMp
23
ref
5
ref
4176
ref
nil
cons
cons
261
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4176
remove
appTerm
nil
cons
cons
4175
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
150
ref
1827
ref
cons
322
ref
cons
nil
cons
cons
3629
remove
subst
eqMp
eqMp
nil
3689
ref
68
ref
69
ref
3659
ref
appTerm
3674
ref
appTerm
4177
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
338
ref
nil
2946
ref
nil
cons
cons
4178
def
661
ref
subst
4179
def
appThm
662
ref
appThm
4180
def
sym
978
ref
10
ref
214
ref
2912
ref
979
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4181
def
200
ref
appTerm
betaConv
sym
4174
remove
eqMp
23
ref
5
ref
4181
ref
nil
cons
cons
238
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4181
remove
appTerm
nil
cons
cons
3589
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
3592
remove
3588
remove
subst
eqMp
eqMp
nil
67
ref
10
ref
729
ref
19
ref
appTerm
4182
def
appTerm
359
ref
appTerm
4183
def
nil
cons
cons
68
ref
10
ref
16
ref
2912
ref
152
ref
appTerm
4184
def
appTerm
4185
def
19
ref
appTerm
4186
def
appTerm
359
ref
appTerm
4187
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
4178
remove
nil
1410
ref
68
ref
2896
ref
10
ref
16
ref
2947
ref
19
ref
appTerm
4188
def
appTerm
200
ref
appTerm
appTerm
359
ref
appTerm
4189
def
appTerm
4190
def
nil
cons
4191
def
cons
nil
cons
4192
def
cons
nil
cons
cons
4193
def
85
ref
subst
4193
remove
138
ref
subst
nil
2932
ref
68
ref
4189
ref
nil
cons
4194
def
cons
nil
cons
4195
def
cons
nil
cons
cons
4196
def
85
ref
subst
4196
remove
138
ref
subst
3859
remove
nil
67
ref
3739
remove
cons
4195
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
1443
ref
976
ref
378
ref
976
ref
379
ref
338
ref
3724
ref
2938
ref
appThm
appThm
3725
ref
appThm
4197
def
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
10
ref
3717
ref
359
ref
appTerm
4198
def
appTerm
2897
ref
appTerm
4199
def
absTerm
4200
def
appTerm
4201
def
absTerm
4202
def
appTerm
4203
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
4189
ref
refl
appThm
sym
nil
5
ref
378
ref
69
ref
4202
ref
381
ref
appTerm
4204
def
appTerm
4189
ref
appTerm
4205
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4205
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4204
ref
nil
cons
4206
def
cons
4195
ref
cons
nil
cons
cons
4207
def
85
ref
subst
4207
remove
138
ref
subst
4204
ref
betaConv
4204
remove
assume
eqMp
nil
67
ref
4201
ref
nil
cons
cons
4195
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
4200
ref
383
ref
appTerm
4208
def
appTerm
4189
ref
appTerm
4209
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4209
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4208
ref
nil
cons
4210
def
cons
4195
ref
cons
nil
cons
cons
4211
def
85
ref
subst
4211
remove
138
ref
subst
4208
ref
betaConv
4208
remove
assume
eqMp
nil
67
ref
4199
ref
nil
cons
4212
def
cons
4195
ref
cons
nil
cons
cons
4213
def
129
ref
subst
proveHyp
4213
ref
85
ref
subst
4213
remove
138
ref
subst
378
ref
947
ref
379
ref
10
ref
2878
ref
2879
ref
4188
ref
appTerm
appTerm
2899
ref
appTerm
appTerm
359
ref
appTerm
absTerm
appTerm
absTerm
4214
def
2879
ref
381
ref
appTerm
4215
def
appTerm
betaConv
sym
379
ref
10
ref
2878
ref
392
ref
4215
ref
appTerm
4188
ref
appTerm
4216
def
appTerm
2899
ref
appTerm
appTerm
359
ref
appTerm
absTerm
4217
def
390
ref
392
ref
2899
ref
appTerm
4218
def
383
ref
appTerm
4219
def
appTerm
391
ref
383
ref
appTerm
4220
def
appTerm
4221
def
appTerm
betaConv
sym
nil
3987
ref
436
ref
392
ref
4221
ref
appTerm
200
ref
appTerm
4222
def
nil
cons
cons
1419
ref
4216
ref
nil
cons
4223
def
cons
nil
cons
cons
cons
nil
cons
cons
3756
ref
subst
sym
847
ref
57
ref
10
ref
4216
ref
appTerm
4224
def
1404
ref
appTerm
appTerm
1405
ref
390
ref
4222
ref
appTerm
359
ref
appTerm
4225
def
appTerm
appTerm
absTerm
4226
def
392
ref
2897
ref
appTerm
2897
ref
appTerm
4227
def
appTerm
betaConv
sym
338
ref
nil
1530
ref
4188
ref
nil
cons
4228
def
cons
3058
ref
2887
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
nil
1530
ref
3074
remove
cons
1464
ref
2887
ref
cons
4229
def
cons
nil
cons
cons
3069
ref
subst
appThm
sym
2879
ref
refl
4230
def
338
ref
nil
3026
ref
4229
ref
cons
nil
cons
cons
3043
ref
subst
appThm
nil
3026
ref
3058
ref
1533
ref
cons
4231
def
cons
nil
cons
cons
3043
ref
subst
appThm
sym
929
ref
nil
4229
remove
nil
cons
cons
3057
ref
subst
4232
def
appThm
821
ref
appThm
eqMp
appThm
eqMp
nil
67
ref
4224
ref
4227
ref
appTerm
nil
cons
cons
68
ref
10
ref
4227
ref
appTerm
4225
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
28
ref
"_29542"
1
ref
var
4233
def
10
ref
392
ref
4233
remove
varTerm
4234
def
appTerm
4234
remove
appTerm
appTerm
4225
ref
appTerm
absTerm
4235
def
2897
ref
appTerm
4236
def
appTerm
refl
4235
ref
4198
ref
appTerm
betaConv
appThm
108
ref
4236
remove
betaConv
appThm
10
ref
392
ref
4198
ref
appTerm
4198
ref
appTerm
appTerm
4225
ref
appTerm
refl
appThm
trans
4235
remove
refl
4199
ref
assume
4237
def
sym
4238
def
appThm
eqMp
sym
338
ref
nil
1530
ref
4198
ref
nil
cons
4239
def
cons
2360
ref
1419
ref
3072
ref
cons
nil
cons
4240
def
cons
cons
nil
cons
cons
3365
ref
subst
1463
ref
nil
3987
ref
3367
ref
4240
ref
cons
cons
nil
cons
cons
3005
ref
subst
390
ref
4218
ref
2899
ref
appTerm
appTerm
4241
def
refl
nil
4240
ref
nil
cons
cons
2621
ref
subst
appThm
trans
appThm
nil
1419
ref
4239
remove
cons
nil
cons
nil
cons
cons
3222
ref
subst
appThm
trans
appThm
1463
ref
nil
1925
ref
436
ref
4220
remove
nil
cons
cons
1419
ref
4219
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3365
ref
subst
390
ref
392
ref
4219
remove
appTerm
200
ref
appTerm
4242
def
appTerm
4243
def
refl
nil
1925
ref
3070
ref
2888
ref
cons
cons
nil
cons
cons
3365
ref
subst
appThm
trans
appThm
662
ref
appThm
appThm
sym
338
ref
nil
3987
ref
3367
ref
1419
ref
4241
remove
2899
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3827
ref
subst
1463
ref
1463
ref
1463
ref
nil
1925
ref
3070
ref
4240
ref
cons
cons
nil
cons
cons
3043
ref
subst
appThm
2899
ref
refl
4244
def
appThm
appThm
4244
ref
appThm
appThm
662
ref
appThm
trans
appThm
1463
ref
nil
3073
remove
3367
ref
1419
ref
4242
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3827
ref
subst
appThm
662
ref
appThm
appThm
nil
130
ref
390
ref
390
ref
4243
remove
2899
ref
appTerm
appTerm
2899
ref
appTerm
appTerm
359
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
4226
ref
nil
cons
cons
130
ref
4227
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4226
remove
appTerm
nil
cons
cons
68
ref
4224
remove
4225
ref
appTerm
nil
cons
4245
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
ref
4225
ref
nil
cons
4246
def
cons
130
ref
4223
remove
cons
4247
def
nil
cons
cons
nil
cons
cons
1708
ref
subst
eqMp
nil
67
ref
4245
remove
cons
68
ref
10
ref
4225
remove
appTerm
4216
ref
appTerm
nil
cons
4248
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
4247
remove
847
ref
4246
remove
cons
nil
cons
cons
nil
cons
cons
870
ref
subst
eqMp
nil
104
ref
10
ref
390
ref
4216
remove
appTerm
359
ref
appTerm
appTerm
4222
remove
appTerm
nil
cons
cons
106
ref
4248
remove
cons
nil
cons
cons
nil
cons
cons
627
remove
sym
nil
168
ref
50
ref
69
ref
479
remove
52
ref
appTerm
4249
def
appTerm
69
ref
613
remove
52
ref
appTerm
4250
def
appTerm
52
ref
appTerm
4251
def
appTerm
4252
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1163
remove
subst
50
ref
nil
50
ref
4252
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4249
remove
nil
cons
4253
def
cons
68
ref
4251
remove
nil
cons
4254
def
cons
nil
cons
cons
nil
cons
cons
4255
def
85
ref
subst
4255
remove
138
ref
subst
nil
67
ref
4250
ref
nil
cons
4256
def
cons
68
ref
170
ref
cons
nil
cons
4257
def
cons
nil
cons
cons
4258
def
85
ref
subst
4258
remove
138
ref
subst
nil
67
ref
1166
remove
cons
4257
remove
cons
nil
cons
cons
129
ref
subst
4250
remove
assume
eqMp
eqMp
nil
104
ref
4256
remove
cons
106
ref
170
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
4253
remove
cons
106
ref
4254
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
4259
def
subst
proveHyp
eqMp
eqMp
23
ref
5
ref
4217
remove
nil
cons
cons
130
ref
4221
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
4214
ref
nil
cons
cons
130
ref
4215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4214
remove
appTerm
nil
cons
cons
4195
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
6
ref
4228
ref
cons
nil
cons
nil
cons
cons
4134
ref
subst
eqMp
eqMp
nil
104
ref
4212
ref
cons
106
ref
4194
remove
cons
nil
cons
4260
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4210
remove
cons
4260
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4200
ref
1710
ref
appTerm
appTerm
4189
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4201
remove
appTerm
4189
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4200
remove
nil
cons
cons
4260
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4206
remove
cons
4260
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4202
ref
1710
ref
appTerm
appTerm
4189
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4203
remove
appTerm
4189
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4202
remove
nil
cons
cons
4260
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2940
ref
4260
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1649
ref
106
ref
4191
ref
cons
nil
cons
4261
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2862
ref
4192
remove
cons
nil
cons
cons
4262
def
85
ref
subst
4262
remove
138
ref
subst
151
ref
338
ref
2867
remove
appThm
662
ref
appThm
4263
def
appThm
338
ref
2864
ref
929
ref
2865
ref
appThm
4264
def
2865
ref
appThm
3270
remove
trans
appThm
417
ref
appThm
appThm
662
ref
appThm
appThm
nil
50
ref
3448
remove
cons
nil
cons
nil
cons
cons
4265
def
178
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
1439
ref
4261
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2873
ref
nil
1439
ref
2874
ref
612
ref
4191
ref
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
4266
def
subst
eqMp
nil
67
ref
3690
ref
cons
4170
ref
cons
nil
cons
cons
4267
def
85
ref
subst
4267
remove
138
ref
subst
3733
remove
3657
remove
appTerm
4268
def
betaConv
3860
remove
nil
67
ref
3737
remove
cons
68
ref
4268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3738
remove
130
ref
3963
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
884
ref
947
ref
378
ref
947
ref
379
ref
10
ref
390
ref
3942
ref
appTerm
4269
def
3658
remove
appTerm
appTerm
2897
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
4170
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
1443
ref
976
ref
378
ref
976
ref
379
ref
338
ref
4269
ref
refl
3659
remove
assume
appThm
appThm
3725
ref
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
10
ref
4269
remove
359
ref
appTerm
4270
def
appTerm
2897
ref
appTerm
4271
def
absTerm
4272
def
appTerm
4273
def
absTerm
4274
def
appTerm
4275
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
3674
ref
refl
appThm
sym
192
ref
69
ref
418
ref
10
ref
4184
ref
appTerm
17
ref
appTerm
appTerm
appTerm
4276
def
947
ref
378
ref
947
ref
379
ref
10
ref
3717
ref
4185
remove
200
ref
appTerm
appTerm
appTerm
2879
ref
4184
ref
appTerm
4277
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4278
def
19
ref
appTerm
4279
def
betaConv
3735
ref
4184
ref
appTerm
4280
def
betaConv
3861
ref
nil
67
ref
65
ref
3735
remove
appTerm
4281
def
nil
cons
cons
68
ref
4280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
3736
remove
130
ref
4184
ref
nil
cons
4282
def
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
4278
ref
appTerm
nil
cons
cons
68
ref
4279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4278
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4276
remove
947
ref
378
ref
947
ref
379
ref
10
ref
3867
ref
4186
remove
appTerm
appTerm
4277
ref
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
68
ref
69
ref
4275
remove
appTerm
3674
ref
appTerm
4283
def
nil
cons
4284
def
cons
nil
cons
4285
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
447
ref
nil
1474
ref
3059
ref
cons
4286
def
nil
cons
cons
436
ref
28
ref
3049
remove
17
ref
appTerm
appTerm
2197
ref
439
ref
appTerm
appTerm
absTerm
4287
def
437
ref
appTerm
4288
def
betaConv
1419
ref
65
ref
4287
ref
appTerm
4289
def
absTerm
4290
def
1420
ref
appTerm
4291
def
betaConv
nil
65
ref
4290
ref
appTerm
4292
def
axiom
nil
67
ref
4292
remove
nil
cons
cons
68
ref
4291
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4290
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4289
remove
nil
cons
cons
68
ref
4288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4287
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4293
def
subst
nil
50
ref
923
remove
cons
nil
cons
nil
cons
cons
50
ref
28
ref
601
ref
52
ref
appTerm
appTerm
52
ref
appTerm
absTerm
4294
def
52
ref
appTerm
4295
def
betaConv
nil
165
ref
4294
ref
appTerm
4296
def
axiom
nil
67
ref
4296
remove
nil
cons
cons
68
ref
4295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
4294
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
924
ref
trans
trans
appThm
490
ref
trans
appThm
976
ref
378
ref
976
ref
379
ref
338
ref
3870
remove
4187
remove
assume
appThm
appThm
4277
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
3872
ref
4277
remove
appTerm
absTerm
appTerm
absTerm
4297
def
appTerm
4298
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
4283
ref
refl
appThm
sym
nil
5
ref
1530
ref
69
ref
4297
ref
1534
ref
appTerm
4299
def
appTerm
4283
ref
appTerm
4300
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
4300
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4299
ref
nil
cons
4301
def
cons
4285
ref
cons
nil
cons
cons
4302
def
85
ref
subst
4302
remove
138
ref
subst
4299
ref
betaConv
4299
remove
assume
eqMp
nil
67
ref
947
ref
379
ref
3872
remove
3925
ref
4184
ref
appTerm
4303
def
appTerm
absTerm
4304
def
appTerm
4305
def
nil
cons
cons
4285
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
3929
ref
69
ref
4304
ref
3930
remove
appTerm
4306
def
appTerm
4283
ref
appTerm
4307
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
3929
remove
nil
50
ref
4307
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4306
ref
nil
cons
4308
def
cons
4285
ref
cons
nil
cons
cons
4309
def
85
ref
subst
4309
remove
138
ref
subst
4306
ref
betaConv
4306
remove
assume
eqMp
nil
67
ref
3938
remove
4303
ref
appTerm
4310
def
nil
cons
4311
def
cons
4285
ref
cons
nil
cons
cons
4312
def
129
ref
subst
proveHyp
4312
ref
85
ref
subst
4312
remove
138
ref
subst
nil
5
ref
378
ref
69
ref
4274
ref
381
ref
appTerm
4313
def
appTerm
3674
ref
appTerm
4314
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4314
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4313
ref
nil
cons
4315
def
cons
4170
ref
cons
nil
cons
cons
4316
def
85
ref
subst
4316
remove
138
ref
subst
4313
ref
betaConv
4313
remove
assume
eqMp
nil
67
ref
4273
ref
nil
cons
cons
4170
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
4272
ref
383
ref
appTerm
4317
def
appTerm
3674
ref
appTerm
4318
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4318
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4317
ref
nil
cons
4319
def
cons
4170
ref
cons
nil
cons
cons
4320
def
85
ref
subst
4320
remove
138
ref
subst
4317
ref
betaConv
4317
remove
assume
eqMp
nil
67
ref
4271
ref
nil
cons
4321
def
cons
4170
ref
cons
nil
cons
cons
4322
def
129
ref
subst
proveHyp
4322
ref
85
ref
subst
4322
remove
138
ref
subst
378
ref
947
ref
379
ref
10
ref
2898
remove
2881
ref
3673
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
appTerm
absTerm
4323
def
390
ref
3935
ref
3942
ref
appTerm
4324
def
appTerm
381
ref
appTerm
4325
def
appTerm
betaConv
sym
3321
ref
10
ref
2878
ref
392
ref
4325
ref
appTerm
19
ref
appTerm
4326
def
appTerm
3323
ref
3673
ref
appTerm
appTerm
appTerm
359
ref
appTerm
absTerm
4327
def
3925
ref
383
ref
appTerm
4328
def
appTerm
betaConv
sym
nil
3987
ref
436
ref
392
ref
4328
ref
appTerm
3673
ref
appTerm
4329
def
nil
cons
4330
def
cons
4331
def
1419
ref
4326
ref
nil
cons
4332
def
cons
nil
cons
cons
cons
nil
cons
cons
3756
remove
subst
sym
338
ref
nil
3026
ref
3058
ref
1419
ref
4324
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3365
ref
subst
appThm
390
ref
4329
ref
appTerm
359
ref
appTerm
4333
def
refl
4334
def
appThm
sym
28
ref
"_29558"
1
ref
var
4335
def
10
ref
390
ref
392
ref
4324
remove
appTerm
19
ref
appTerm
4336
def
appTerm
4337
def
4335
remove
varTerm
appTerm
appTerm
4333
ref
appTerm
absTerm
4338
def
2897
ref
appTerm
4339
def
appTerm
refl
4338
ref
4270
ref
appTerm
betaConv
appThm
108
ref
4339
remove
betaConv
appThm
10
ref
4337
ref
4270
remove
appTerm
appTerm
4333
ref
appTerm
refl
appThm
trans
4338
remove
refl
4271
remove
assume
sym
appThm
eqMp
sym
338
ref
nil
3987
ref
436
ref
3942
ref
nil
cons
4340
def
cons
4341
def
1419
ref
4336
remove
nil
cons
cons
nil
cons
4342
def
cons
cons
nil
cons
cons
3827
remove
subst
appThm
4334
remove
appThm
nil
4331
remove
3987
ref
1419
ref
4337
remove
3942
ref
appTerm
4343
def
nil
cons
4344
def
cons
nil
cons
cons
cons
nil
cons
cons
3837
ref
subst
trans
sym
847
ref
57
ref
10
ref
4343
remove
appTerm
4345
def
1404
ref
appTerm
appTerm
1405
ref
4329
ref
appTerm
appTerm
absTerm
4346
def
392
ref
3937
ref
appTerm
3942
ref
appTerm
4347
def
appTerm
betaConv
sym
4345
ref
refl
nil
1530
ref
4340
ref
cons
4348
def
2360
ref
1419
ref
3988
remove
cons
nil
cons
cons
cons
nil
cons
cons
3365
ref
subst
390
ref
392
ref
3936
remove
appTerm
3942
ref
appTerm
4349
def
appTerm
refl
nil
1419
ref
4340
remove
cons
nil
cons
nil
cons
cons
3222
ref
subst
appThm
trans
appThm
nil
436
ref
4349
remove
nil
cons
cons
4348
ref
4342
remove
cons
cons
nil
cons
cons
3837
remove
subst
trans
sym
338
ref
nil
3026
ref
4341
ref
1419
ref
3993
remove
cons
nil
cons
4350
def
cons
cons
nil
cons
cons
3069
ref
subst
3935
remove
refl
4351
def
nil
3026
ref
436
ref
3963
remove
cons
2888
ref
cons
cons
nil
cons
cons
3069
ref
subst
2881
ref
refl
4352
def
nil
3026
ref
4145
ref
1916
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
trans
appThm
trans
appThm
nil
4348
ref
1464
ref
4350
remove
cons
cons
nil
cons
cons
3069
ref
subst
appThm
sym
4351
remove
10
ref
2881
ref
3205
ref
3202
remove
19
ref
appTerm
4353
def
appTerm
appTerm
appTerm
refl
nil
4341
remove
1533
ref
cons
nil
cons
cons
3057
ref
subst
appThm
sym
338
ref
nil
1530
ref
4353
remove
nil
cons
cons
3366
ref
cons
nil
cons
cons
3043
ref
subst
nil
3026
ref
4145
remove
4240
ref
cons
cons
nil
cons
cons
3043
ref
subst
trans
appThm
929
ref
nil
3976
ref
3366
ref
cons
nil
cons
cons
3043
ref
subst
appThm
821
ref
appThm
appThm
nil
130
ref
392
ref
4218
remove
878
ref
appTerm
appTerm
19
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
eqMp
appThm
eqMp
eqMp
nil
67
ref
4345
ref
4347
ref
appTerm
nil
cons
cons
68
ref
10
ref
4347
ref
appTerm
4329
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
28
ref
"_29560"
1
ref
var
4354
def
10
ref
392
ref
4354
remove
varTerm
appTerm
3942
ref
appTerm
appTerm
4329
ref
appTerm
absTerm
4355
def
3937
remove
appTerm
4356
def
appTerm
refl
4355
ref
4303
ref
appTerm
betaConv
appThm
108
ref
4356
remove
betaConv
appThm
10
ref
392
ref
4303
remove
appTerm
3942
remove
appTerm
appTerm
4329
ref
appTerm
refl
appThm
trans
4355
remove
refl
4310
remove
assume
appThm
eqMp
sym
338
ref
nil
4348
ref
436
ref
4282
ref
cons
2410
ref
cons
cons
nil
cons
cons
3069
ref
subst
3925
ref
refl
4357
def
nil
4348
remove
4286
ref
cons
nil
cons
cons
4358
def
3069
ref
subst
appThm
trans
appThm
nil
1530
ref
3673
remove
nil
cons
4359
def
cons
3070
ref
2410
remove
cons
cons
nil
cons
cons
3069
ref
subst
4357
ref
4352
remove
nil
1530
ref
3670
ref
nil
cons
cons
4360
def
1591
ref
3059
ref
cons
4361
def
cons
nil
cons
cons
3069
ref
subst
appThm
appThm
trans
appThm
sym
4357
remove
338
ref
4358
remove
3043
ref
subst
nil
3964
remove
3070
ref
1419
ref
4282
remove
cons
nil
cons
cons
cons
nil
cons
cons
3043
ref
subst
nil
3976
ref
1591
ref
1419
ref
392
ref
4184
remove
appTerm
383
ref
appTerm
4362
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3043
ref
subst
trans
trans
appThm
nil
1530
ref
3205
ref
3670
ref
appTerm
nil
cons
cons
3044
remove
cons
nil
cons
cons
3043
ref
subst
nil
4360
remove
1591
ref
1419
ref
2881
ref
152
ref
appTerm
4363
def
nil
cons
4364
def
cons
nil
cons
cons
cons
nil
cons
cons
3043
ref
subst
nil
3976
remove
1474
ref
1419
ref
392
ref
4363
remove
appTerm
200
ref
appTerm
nil
cons
cons
nil
cons
cons
4365
def
cons
nil
cons
cons
3043
ref
subst
trans
trans
appThm
sym
929
ref
10
ref
392
ref
4362
remove
appTerm
200
ref
appTerm
appTerm
refl
4366
def
nil
4365
remove
nil
cons
cons
3057
ref
subst
appThm
sym
4366
remove
nil
1925
ref
436
ref
4364
remove
cons
3059
ref
cons
cons
nil
cons
cons
3043
ref
subst
929
ref
nil
1531
ref
3071
ref
cons
nil
cons
cons
4367
def
3043
ref
subst
appThm
417
ref
appThm
trans
appThm
sym
929
ref
338
ref
nil
1530
ref
1369
ref
cons
4286
remove
cons
nil
cons
cons
3069
ref
subst
appThm
4367
remove
3069
ref
subst
appThm
sym
2912
remove
refl
4368
def
nil
3071
remove
nil
cons
cons
3057
ref
subst
appThm
eqMp
appThm
417
ref
appThm
eqMp
eqMp
appThm
3983
ref
appThm
eqMp
appThm
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
4346
ref
nil
cons
cons
130
ref
4347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4346
remove
appTerm
nil
cons
cons
68
ref
4345
remove
4329
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
ref
4330
remove
cons
130
ref
4344
remove
cons
nil
cons
cons
nil
cons
cons
1708
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
67
ref
10
ref
4326
ref
appTerm
4333
ref
appTerm
nil
cons
cons
68
ref
10
ref
4333
ref
appTerm
4326
ref
appTerm
nil
cons
4369
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
4332
remove
cons
847
ref
4333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
870
ref
subst
eqMp
nil
104
ref
10
ref
390
ref
4326
remove
appTerm
359
ref
appTerm
appTerm
4329
remove
appTerm
nil
cons
cons
106
ref
4369
remove
cons
nil
cons
cons
nil
cons
cons
4259
ref
subst
proveHyp
eqMp
eqMp
23
ref
5
ref
4327
remove
nil
cons
cons
130
ref
4328
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
4323
ref
nil
cons
cons
130
ref
4325
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4323
remove
appTerm
nil
cons
cons
4170
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
4359
remove
cons
nil
cons
nil
cons
cons
4134
remove
subst
eqMp
eqMp
nil
104
ref
4321
remove
cons
106
ref
4169
ref
cons
nil
cons
4370
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4319
remove
cons
4370
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4272
ref
1710
ref
appTerm
appTerm
3674
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4273
remove
appTerm
3674
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4272
remove
nil
cons
cons
4370
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4315
remove
cons
4370
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4274
ref
1710
ref
appTerm
appTerm
3674
ref
appTerm
absTerm
appTerm
nil
cons
cons
4285
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4274
remove
nil
cons
cons
4370
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
nil
104
ref
4311
remove
cons
106
ref
4284
remove
cons
nil
cons
4371
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4308
remove
cons
4371
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4304
ref
1710
ref
appTerm
appTerm
4283
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4305
remove
appTerm
4283
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4304
remove
nil
cons
cons
4371
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4301
remove
cons
4371
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4297
ref
1710
ref
appTerm
appTerm
4283
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4298
remove
appTerm
4283
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4297
remove
nil
cons
cons
4371
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
3690
remove
cons
4370
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
proveHyp
eqMp
nil
67
ref
57
ref
3656
remove
appTerm
4177
remove
appTerm
nil
cons
cons
68
ref
69
ref
3660
remove
appTerm
3674
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
4169
remove
cons
3691
remove
3689
remove
nil
cons
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
4168
remove
cons
4370
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
4164
remove
cons
106
ref
4165
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
3651
remove
appTerm
3683
remove
appTerm
nil
cons
cons
3638
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
192
ref
3631
ref
absTerm
4372
def
17
ref
appTerm
betaConv
921
ref
appThm
150
ref
69
ref
3641
remove
3456
remove
appTerm
appTerm
10
ref
214
ref
3411
ref
appTerm
appTerm
359
ref
appTerm
appTerm
absTerm
17
ref
appTerm
betaConv
trans
appThm
58
ref
149
ref
192
ref
149
ref
877
ref
3653
remove
refl
4372
ref
200
ref
appTerm
betaConv
3983
remove
appThm
3631
ref
878
ref
appTerm
betaConv
trans
4373
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
150
ref
149
ref
192
ref
149
ref
877
ref
151
ref
1722
ref
4373
ref
appThm
appThm
4372
ref
2915
ref
appTerm
betaConv
3670
ref
refl
appThm
3009
ref
69
ref
3669
remove
10
ref
3464
remove
appTerm
359
ref
appTerm
appTerm
appTerm
10
ref
214
remove
3427
remove
appTerm
appTerm
359
ref
appTerm
appTerm
absTerm
3670
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
192
ref
149
ref
877
ref
4373
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
4372
remove
nil
cons
cons
nil
cons
nil
cons
cons
3263
ref
subst
eqMp
eqMp
eqMp
nil
1649
ref
106
ref
3637
ref
cons
nil
cons
4374
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2862
ref
3638
remove
cons
nil
cons
cons
4375
def
85
ref
subst
4375
remove
138
ref
subst
149
ref
192
ref
149
ref
150
ref
151
ref
58
ref
2871
remove
662
ref
appThm
appThm
338
ref
2866
ref
1473
ref
appThm
2964
remove
trans
appThm
662
ref
appThm
appThm
appThm
338
ref
2866
remove
3414
ref
refl
appThm
nil
6
ref
3414
ref
nil
cons
4376
def
cons
nil
cons
4377
def
nil
cons
cons
301
remove
subst
trans
appThm
662
ref
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
192
ref
65
ref
150
ref
69
ref
57
ref
2187
remove
appTerm
683
ref
appTerm
4378
def
appTerm
10
ref
3414
ref
appTerm
4379
def
359
ref
appTerm
4380
def
appTerm
4381
def
absTerm
4382
def
appTerm
4383
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4383
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4382
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4381
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4378
remove
nil
cons
4384
def
cons
68
ref
4380
remove
nil
cons
4385
def
cons
nil
cons
cons
nil
cons
cons
4386
def
85
ref
subst
4386
remove
138
ref
subst
nil
2694
ref
693
remove
cons
nil
cons
cons
4387
def
120
ref
subst
4387
remove
224
ref
subst
929
ref
2673
ref
appThm
683
remove
assume
appThm
2610
remove
2621
ref
subst
trans
proveHyp
proveHyp
eqMp
nil
104
ref
4384
remove
cons
106
ref
4385
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
1439
ref
4374
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2873
ref
nil
1439
ref
2874
ref
612
ref
3637
ref
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
4388
def
nil
67
ref
3637
ref
cons
68
ref
3635
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3634
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3633
remove
nil
cons
cons
68
ref
3632
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3631
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
4389
def
58
ref
338
ref
2938
ref
appThm
662
ref
appThm
2644
ref
trans
appThm
338
ref
3485
remove
appThm
662
ref
appThm
2644
remove
trans
appThm
186
ref
trans
trans
trans
sym
55
ref
eqMp
eqMp
nil
2940
ref
106
ref
3438
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
3482
remove
cons
106
ref
3483
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
3462
remove
nil
cons
cons
68
ref
3480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
3479
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
3478
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3477
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3476
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
3475
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
3009
ref
nil
50
ref
3474
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
3467
remove
nil
cons
4390
def
cons
68
ref
3473
remove
nil
cons
4391
def
cons
nil
cons
cons
nil
cons
cons
4392
def
85
ref
subst
4392
remove
138
ref
subst
nil
916
ref
106
ref
3466
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
nil
67
ref
3468
ref
nil
cons
4393
def
cons
68
ref
3472
remove
nil
cons
4394
def
cons
nil
cons
cons
nil
cons
cons
4395
def
85
ref
subst
4395
remove
138
ref
subst
338
ref
2914
ref
refl
4396
def
nil
1530
ref
3010
ref
nil
cons
4397
def
cons
4398
def
1474
ref
1916
ref
cons
4399
def
cons
nil
cons
cons
3043
ref
subst
appThm
appThm
3471
remove
refl
4400
def
appThm
sym
338
ref
4396
ref
929
ref
nil
4399
remove
nil
cons
cons
3057
ref
subst
appThm
3010
ref
refl
4401
def
appThm
appThm
appThm
4400
remove
appThm
sym
338
ref
4396
remove
nil
4398
remove
4361
ref
cons
nil
cons
cons
3069
ref
subst
appThm
nil
150
ref
3463
ref
nil
cons
cons
2946
ref
cons
nil
cons
cons
3025
ref
subst
trans
appThm
nil
150
ref
4397
remove
cons
2946
remove
cons
nil
cons
cons
3025
ref
subst
appThm
sym
4368
remove
978
ref
10
ref
16
ref
3590
remove
19
ref
appTerm
appTerm
200
ref
appTerm
appTerm
359
ref
appTerm
absTerm
4402
def
152
ref
appTerm
betaConv
sym
3468
remove
assume
eqMp
23
ref
5
ref
4402
ref
nil
cons
cons
261
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4402
remove
appTerm
nil
cons
cons
3243
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
3495
remove
150
ref
69
ref
947
ref
6
ref
3524
ref
absTerm
4403
def
appTerm
4404
def
appTerm
4405
def
3500
ref
appTerm
4406
def
absTerm
4407
def
152
ref
appTerm
4408
def
betaConv
192
ref
65
ref
4407
ref
appTerm
4409
def
absTerm
4410
def
200
ref
appTerm
4411
def
betaConv
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
3524
remove
appTerm
3500
ref
appTerm
4412
def
absTerm
4413
def
appTerm
4414
def
absTerm
4415
def
appTerm
4416
def
absTerm
4417
def
nil
cons
cons
4418
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4416
remove
nil
cons
4419
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4415
ref
nil
cons
cons
4420
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4414
remove
nil
cons
4421
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4413
ref
nil
cons
cons
4422
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4412
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3553
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4423
def
nil
67
ref
65
ref
4417
ref
appTerm
4424
def
nil
cons
4425
def
cons
4426
def
68
ref
65
ref
4410
ref
appTerm
nil
cons
4427
def
cons
nil
cons
cons
nil
cons
cons
4428
def
129
ref
subst
proveHyp
4428
ref
85
ref
subst
4428
remove
138
ref
subst
nil
5
ref
4410
remove
nil
cons
cons
4429
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4409
remove
nil
cons
4430
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4407
remove
nil
cons
cons
4431
def
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4406
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4404
remove
nil
cons
4432
def
cons
4433
def
3528
ref
cons
nil
cons
cons
4434
def
85
ref
subst
4434
remove
138
ref
subst
nil
4426
ref
3528
remove
cons
nil
cons
cons
4435
def
129
ref
subst
nil
4433
remove
68
ref
69
ref
4424
ref
appTerm
3500
ref
appTerm
4436
def
nil
cons
4437
def
cons
nil
cons
4438
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
6
ref
69
ref
4403
ref
19
ref
appTerm
4439
def
appTerm
4436
ref
appTerm
4440
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4440
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4439
ref
nil
cons
4441
def
cons
4438
ref
cons
nil
cons
cons
4442
def
85
ref
subst
4442
remove
138
ref
subst
4439
ref
betaConv
4439
remove
assume
eqMp
nil
3526
remove
4438
remove
cons
nil
cons
cons
4443
def
129
ref
subst
proveHyp
4443
ref
85
ref
subst
4443
remove
138
ref
subst
4435
ref
85
ref
subst
4435
remove
138
ref
subst
3529
remove
129
ref
subst
4413
remove
152
ref
appTerm
4444
def
betaConv
4415
remove
200
ref
appTerm
4445
def
betaConv
4417
remove
19
ref
appTerm
4446
def
betaConv
nil
4426
remove
68
ref
4446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
4418
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4419
remove
cons
68
ref
4445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4420
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4421
remove
cons
68
ref
4444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4422
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4425
remove
cons
4447
def
3552
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
3551
remove
106
ref
4437
remove
cons
nil
cons
4448
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4441
remove
cons
4448
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4403
ref
1710
ref
appTerm
appTerm
4436
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
4405
remove
4436
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4403
remove
nil
cons
cons
4448
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4432
remove
cons
3552
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
4447
remove
106
ref
4427
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
4427
remove
cons
68
ref
4411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4429
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4430
remove
cons
68
ref
4408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4431
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
nil
2932
ref
68
ref
3465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
3466
remove
assume
eqMp
appThm
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4393
remove
cons
106
ref
4394
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
proveHyp
eqMp
nil
104
ref
4390
remove
cons
106
ref
4391
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
3455
remove
appTerm
3481
remove
appTerm
nil
cons
cons
68
ref
65
ref
3445
ref
appTerm
4449
def
nil
cons
4450
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
6
ref
3441
ref
absTerm
4451
def
17
ref
appTerm
betaConv
921
ref
appThm
150
ref
3454
remove
10
ref
18
remove
3414
ref
appTerm
4452
def
appTerm
2959
ref
appTerm
appTerm
absTerm
17
ref
appTerm
betaConv
trans
appThm
58
ref
149
ref
6
ref
149
ref
150
ref
3457
remove
refl
4451
ref
19
ref
appTerm
betaConv
4453
def
1473
ref
appThm
3443
remove
trans
4454
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
150
ref
149
ref
6
ref
149
ref
3009
ref
151
ref
1722
ref
4453
remove
4401
remove
appThm
3441
ref
3010
ref
appTerm
betaConv
trans
appThm
appThm
4451
ref
2913
ref
appTerm
betaConv
3470
ref
refl
appThm
3009
ref
3469
remove
10
ref
2914
remove
3463
remove
appTerm
4455
def
appTerm
3428
ref
appTerm
appTerm
absTerm
3470
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
150
ref
4454
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
4451
remove
nil
cons
cons
nil
cons
nil
cons
cons
3263
ref
subst
eqMp
eqMp
4456
def
nil
67
ref
4450
ref
cons
68
ref
3446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3445
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
3444
ref
nil
cons
cons
68
ref
3442
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
3441
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4457
def
eqMp
nil
67
ref
3438
remove
cons
68
ref
3416
ref
1447
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
1647
ref
cons
4458
def
6
ref
3415
remove
nil
cons
4459
def
cons
nil
cons
4460
def
cons
nil
cons
cons
192
ref
69
ref
291
remove
appTerm
286
ref
appTerm
absTerm
4461
def
200
ref
appTerm
4462
def
betaConv
6
ref
65
ref
4461
ref
appTerm
4463
def
absTerm
4464
def
19
ref
appTerm
4465
def
betaConv
nil
65
ref
4464
ref
appTerm
4466
def
axiom
nil
67
ref
4466
remove
nil
cons
cons
68
ref
4465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4464
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4463
remove
nil
cons
cons
68
ref
4462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4461
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
2940
ref
106
ref
3431
ref
cons
nil
cons
4467
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
3425
remove
nil
cons
cons
68
ref
3429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
1455
ref
65
ref
6
ref
65
ref
192
ref
69
ref
57
ref
418
ref
3789
ref
appTerm
4468
def
appTerm
3420
ref
appTerm
4469
def
appTerm
65
ref
3009
ref
59
ref
16
ref
1458
ref
appTerm
4470
def
392
ref
1457
remove
200
ref
appTerm
4471
def
appTerm
4472
def
3010
ref
appTerm
appTerm
appTerm
392
ref
4470
ref
4471
remove
appTerm
appTerm
4473
def
4470
ref
3010
remove
appTerm
appTerm
appTerm
absTerm
appTerm
4474
def
appTerm
4475
def
absTerm
4476
def
appTerm
4477
def
absTerm
4478
def
appTerm
4479
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1455
ref
nil
50
ref
4479
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4478
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4477
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4476
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4475
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4469
remove
nil
cons
4480
def
cons
68
ref
4474
remove
nil
cons
4481
def
cons
nil
cons
cons
nil
cons
cons
4482
def
85
ref
subst
4482
remove
138
ref
subst
nil
104
ref
4468
remove
nil
cons
4483
def
cons
4467
remove
cons
nil
cons
cons
4484
def
120
ref
subst
4484
remove
224
ref
subst
nil
5
ref
150
ref
59
ref
4470
ref
4472
remove
152
ref
appTerm
appTerm
appTerm
4473
remove
4470
ref
152
ref
appTerm
4485
def
appTerm
appTerm
4486
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4486
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
698
remove
4470
remove
refl
nil
1531
ref
1591
ref
1492
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
nil
150
ref
4376
remove
cons
193
ref
6
ref
1491
ref
cons
nil
cons
4487
def
cons
4488
def
cons
nil
cons
cons
3025
ref
subst
trans
appThm
929
ref
nil
1568
remove
4488
remove
cons
nil
cons
cons
3025
remove
subst
appThm
4485
ref
refl
appThm
nil
1530
ref
4485
ref
nil
cons
4489
def
cons
3185
remove
1492
remove
cons
cons
nil
cons
cons
3069
ref
subst
trans
appThm
nil
150
ref
3251
ref
4485
ref
appTerm
4490
def
nil
cons
cons
4491
def
192
ref
4459
remove
cons
4487
remove
cons
cons
nil
cons
cons
3098
ref
subst
2212
ref
nil
67
ref
4483
remove
cons
68
ref
28
ref
3789
remove
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
3856
remove
nil
cons
nil
cons
cons
487
ref
subst
eqMp
appThm
3416
ref
4490
ref
appTerm
4492
def
refl
appThm
nil
50
ref
4492
remove
nil
cons
4493
def
cons
nil
cons
nil
cons
cons
2218
ref
subst
trans
trans
trans
sym
877
ref
57
ref
3416
remove
878
ref
appTerm
appTerm
2092
remove
4490
ref
appTerm
appTerm
absTerm
4494
def
3417
ref
appTerm
betaConv
sym
58
ref
3434
remove
3419
remove
152
ref
appTerm
4495
def
betaConv
nil
67
ref
3431
remove
cons
68
ref
4495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
3433
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
appThm
59
ref
3417
ref
appTerm
4490
remove
appTerm
4496
def
refl
appThm
nil
50
ref
4496
remove
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
nil
150
ref
4489
remove
cons
4458
remove
285
remove
cons
cons
nil
cons
cons
3098
ref
subst
sym
nil
2095
remove
6
ref
1532
remove
cons
150
ref
1647
ref
cons
nil
cons
cons
cons
nil
cons
cons
3410
ref
subst
57
ref
59
ref
1447
ref
appTerm
4497
def
1458
remove
appTerm
4498
def
appTerm
refl
nil
3229
remove
nil
cons
cons
4499
def
251
ref
subst
appThm
nil
50
ref
4498
remove
nil
cons
4500
def
cons
nil
cons
nil
cons
cons
311
ref
subst
trans
trans
sym
4499
remove
239
remove
subst
nil
67
ref
4497
ref
19
ref
appTerm
nil
cons
cons
68
ref
4500
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1608
ref
192
ref
1491
ref
cons
4501
def
6
ref
1647
remove
cons
nil
cons
cons
cons
nil
cons
cons
3550
remove
subst
eqMp
eqMp
nil
2860
remove
106
ref
4497
remove
4485
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
4259
ref
subst
proveHyp
eqMp
eqMp
eqMp
23
ref
5
ref
4494
ref
nil
cons
cons
130
ref
3417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4494
remove
appTerm
nil
cons
cons
68
ref
4493
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
4491
remove
4460
remove
cons
nil
cons
cons
2147
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
4480
remove
cons
106
ref
4481
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
3413
remove
appTerm
3430
remove
appTerm
nil
cons
cons
68
ref
65
ref
6
ref
65
ref
192
ref
3420
remove
absTerm
4502
def
appTerm
absTerm
appTerm
4503
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
6
ref
4502
ref
absTerm
4504
def
17
ref
appTerm
betaConv
921
ref
appThm
192
ref
65
ref
150
ref
59
ref
4452
remove
appTerm
392
ref
3115
remove
appTerm
2959
remove
appTerm
appTerm
absTerm
appTerm
absTerm
17
ref
appTerm
betaConv
trans
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
3117
ref
4504
ref
19
ref
appTerm
betaConv
417
ref
appThm
4502
remove
200
ref
appTerm
betaConv
trans
4505
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
150
ref
149
ref
6
ref
149
ref
192
ref
151
ref
1722
ref
4505
ref
appThm
appThm
4504
ref
2913
ref
appTerm
betaConv
3121
remove
appThm
192
ref
65
ref
3009
remove
59
ref
4455
remove
appTerm
392
ref
3122
remove
appTerm
3428
remove
appTerm
appTerm
absTerm
appTerm
absTerm
2915
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
4505
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
4504
remove
nil
cons
cons
nil
cons
nil
cons
cons
3263
ref
subst
eqMp
eqMp
nil
4503
remove
thm
nil
5
ref
6
ref
3006
remove
absTerm
4506
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3007
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
3024
remove
eqMp
absThm
eqMp
4507
def
nil
65
ref
4506
remove
appTerm
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
338
ref
2864
ref
2060
remove
3057
ref
subst
4508
def
appThm
4509
def
3508
remove
appThm
appThm
nil
1464
ref
1419
ref
2099
remove
cons
nil
cons
cons
nil
cons
cons
3057
ref
subst
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
4507
remove
eqMp
4510
def
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
10
ref
16
ref
3206
ref
appTerm
4511
def
2913
remove
appTerm
4512
def
appTerm
392
ref
2079
remove
appTerm
19
ref
appTerm
4513
def
appTerm
4514
def
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
4190
remove
absTerm
4515
def
appTerm
4516
def
absTerm
4517
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4516
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4515
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4191
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
4266
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4518
def
nil
65
ref
4517
remove
appTerm
thm
149
ref
6
ref
149
ref
192
ref
151
ref
820
remove
662
ref
appThm
4519
def
appThm
4520
def
338
ref
nil
192
ref
4228
remove
cons
558
remove
cons
nil
cons
cons
661
ref
subst
appThm
662
ref
appThm
appThm
absThm
appThm
absThm
appThm
sym
4518
remove
eqMp
nil
65
ref
6
ref
65
ref
192
ref
69
ref
813
ref
359
ref
appTerm
4521
def
appTerm
4522
def
10
ref
633
remove
4188
remove
appTerm
appTerm
359
ref
appTerm
4523
def
appTerm
absTerm
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
108
ref
nil
1608
ref
631
remove
cons
nil
cons
cons
4389
ref
subst
nil
50
ref
4521
ref
nil
cons
4524
def
cons
nil
cons
nil
cons
cons
321
ref
subst
trans
appThm
4521
ref
refl
appThm
nil
169
ref
4524
remove
cons
nil
cons
nil
cons
cons
2443
ref
subst
trans
absThm
appThm
185
ref
trans
absThm
appThm
185
ref
trans
sym
55
ref
eqMp
nil
65
ref
6
ref
65
ref
192
ref
28
ref
4523
remove
appTerm
4521
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
108
ref
nil
557
remove
1608
remove
322
remove
cons
cons
nil
cons
cons
150
ref
28
ref
10
ref
16
ref
3414
ref
appTerm
19
ref
appTerm
appTerm
4525
def
359
ref
appTerm
4526
def
appTerm
57
ref
4521
remove
appTerm
4183
remove
appTerm
4527
def
appTerm
absTerm
4528
def
152
ref
appTerm
4529
def
betaConv
192
ref
65
ref
4528
ref
appTerm
4530
def
absTerm
4531
def
200
ref
appTerm
4532
def
betaConv
6
ref
65
ref
4531
ref
appTerm
4533
def
absTerm
4534
def
19
ref
appTerm
4535
def
betaConv
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
108
ref
338
ref
nil
193
ref
4377
remove
cons
nil
cons
cons
661
ref
subst
appThm
4536
def
662
ref
appThm
4537
def
appThm
58
ref
4519
remove
appThm
4180
remove
appThm
4538
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
28
ref
3486
remove
appTerm
3489
remove
appTerm
4539
def
absTerm
4540
def
appTerm
4541
def
absTerm
4542
def
appTerm
4543
def
absTerm
4544
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4543
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4542
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4541
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4540
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4539
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
4389
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4545
def
eqMp
4546
def
nil
67
ref
65
ref
4534
ref
appTerm
4547
def
nil
cons
cons
68
ref
4535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4534
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4533
remove
nil
cons
cons
68
ref
4532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4531
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4530
remove
nil
cons
cons
68
ref
4529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4528
remove
nil
cons
cons
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4161
ref
321
remove
subst
trans
appThm
2895
ref
refl
4548
def
appThm
nil
169
ref
2931
remove
cons
nil
cons
nil
cons
cons
2443
ref
subst
trans
absThm
appThm
185
ref
trans
absThm
appThm
185
remove
trans
sym
55
ref
eqMp
nil
65
ref
6
ref
65
ref
192
ref
28
ref
4189
remove
appTerm
2895
ref
appTerm
absTerm
appTerm
absTerm
appTerm
thm
3554
remove
nil
3602
remove
thm
3555
remove
nil
3561
remove
thm
4423
ref
nil
4424
remove
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
338
ref
4509
remove
1473
ref
appThm
appThm
662
ref
appThm
appThm
3509
remove
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
4423
remove
eqMp
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
10
ref
4511
remove
152
ref
appTerm
appTerm
359
ref
appTerm
appTerm
3500
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
108
ref
149
ref
6
ref
149
ref
192
ref
6
ref
192
ref
3444
remove
absTerm
4549
def
absTerm
4550
def
19
ref
appTerm
betaConv
417
ref
appThm
4549
ref
200
ref
appTerm
betaConv
trans
4551
def
absThm
appThm
absThm
appThm
appThm
149
ref
192
ref
149
ref
6
ref
4551
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
4550
remove
nil
cons
cons
nil
cons
nil
cons
cons
982
remove
23
ref
cons
24
ref
cons
"p"
0
ref
30
ref
1349
remove
cons
opType
4552
def
var
4553
def
28
ref
33
ref
39
ref
573
ref
544
ref
4553
remove
varTerm
4554
def
134
ref
appTerm
545
remove
appTerm
4555
def
absTerm
appTerm
absTerm
appTerm
appTerm
573
remove
544
remove
33
ref
39
ref
4555
remove
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4556
def
4554
ref
appTerm
4557
def
betaConv
nil
29
remove
0
ref
0
ref
4552
ref
3
ref
cons
opType
4558
def
3
ref
cons
opType
constTerm
4556
ref
appTerm
4559
def
axiom
nil
67
ref
4559
remove
nil
cons
cons
68
ref
4557
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
"A"
4552
ref
nil
cons
cons
nil
cons
"P"
4558
remove
var
4556
remove
nil
cons
cons
"x"
4552
remove
var
4554
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
eqMp
sym
nil
5
ref
192
ref
4449
remove
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4450
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
4456
remove
eqMp
absThm
eqMp
eqMp
4560
def
nil
65
ref
6
ref
65
ref
4549
remove
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
3117
remove
338
ref
1446
remove
nil
4361
remove
nil
cons
cons
3057
ref
subst
4561
def
appThm
appThm
3435
remove
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
4560
ref
eqMp
4562
def
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
2896
remove
3667
remove
1447
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
4520
ref
4536
remove
4179
ref
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
4560
remove
eqMp
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
4522
ref
4525
remove
4182
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
4520
remove
338
ref
nil
193
remove
6
ref
2915
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
661
ref
subst
appThm
4179
remove
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
4562
remove
eqMp
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
4522
remove
10
ref
16
ref
2915
remove
appTerm
19
ref
appTerm
appTerm
4182
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
5
ref
6
ref
884
ref
343
ref
344
remove
359
ref
appTerm
appTerm
2162
ref
360
ref
2823
ref
359
ref
appTerm
appTerm
appTerm
4563
def
appTerm
4564
def
appTerm
4565
def
absTerm
4566
def
nil
cons
cons
4567
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4565
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1410
ref
68
ref
4564
remove
nil
cons
4568
def
cons
nil
cons
cons
nil
cons
cons
4569
def
85
ref
subst
4569
remove
138
ref
subst
707
ref
630
remove
416
ref
subst
appThm
4563
ref
refl
appThm
sym
2549
remove
708
remove
appThm
150
ref
365
remove
2162
ref
360
ref
367
ref
369
ref
359
ref
appTerm
4570
def
appTerm
359
ref
appTerm
appTerm
appTerm
appTerm
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
387
remove
380
ref
389
remove
391
ref
392
ref
4570
remove
appTerm
388
remove
appTerm
appTerm
appTerm
appTerm
absTerm
4571
def
2669
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2670
remove
appTerm
appTerm
absTerm
406
ref
359
ref
appTerm
4572
def
appTerm
betaConv
499
ref
338
ref
1465
ref
2558
remove
subst
4573
def
appThm
921
ref
appThm
2311
ref
trans
appThm
2603
remove
2676
remove
2677
ref
1465
ref
2681
remove
subst
4574
def
appThm
662
ref
appThm
appThm
appThm
appThm
759
ref
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
760
ref
4571
remove
395
ref
392
ref
2169
remove
4572
remove
appTerm
appTerm
383
ref
appTerm
appTerm
appTerm
betaConv
926
ref
927
ref
928
ref
929
ref
2686
remove
4573
ref
appThm
appThm
931
ref
appThm
appThm
4575
def
appThm
933
ref
929
ref
4574
remove
appThm
4575
remove
appThm
appThm
appThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
935
ref
4573
ref
appThm
2688
remove
4573
ref
appThm
appThm
appThm
appThm
nil
501
ref
376
ref
377
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
ref
380
ref
2690
remove
391
ref
2947
ref
2689
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2692
remove
appTerm
nil
cons
cons
502
remove
4563
remove
nil
cons
4576
def
cons
nil
cons
cons
nil
cons
cons
2693
ref
subst
trans
trans
appThm
nil
501
ref
4576
remove
cons
767
ref
cons
nil
cons
cons
526
ref
subst
trans
eqMp
eqMp
nil
1649
ref
106
ref
4568
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
4577
def
nil
65
ref
4566
ref
appTerm
4578
def
thm
3861
remove
nil
4281
remove
thm
3862
remove
nil
3863
remove
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
130
ref
65
ref
847
ref
69
ref
57
ref
1894
ref
1710
ref
appTerm
4579
def
19
ref
appTerm
4580
def
appTerm
4581
def
1894
ref
1404
ref
appTerm
4582
def
200
ref
appTerm
4583
def
appTerm
4584
def
appTerm
1894
ref
"Number.Natural.chineseRemainder"
const
0
ref
1
ref
0
ref
1
ref
15
ref
nil
cons
4585
def
cons
opType
4586
def
nil
cons
cons
opType
constTerm
4587
def
19
ref
appTerm
4588
def
200
ref
appTerm
4589
def
1710
ref
appTerm
4590
def
1404
ref
appTerm
4591
def
appTerm
2948
ref
appTerm
4592
def
appTerm
4593
def
absTerm
4594
def
appTerm
4595
def
absTerm
4596
def
appTerm
4597
def
absTerm
4598
def
appTerm
4599
def
absTerm
4600
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4599
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4598
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4597
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4596
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
4595
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4594
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
4593
ref
nil
cons
4601
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1410
ref
68
ref
4601
ref
cons
nil
cons
4602
def
cons
nil
cons
cons
4603
def
85
ref
subst
4603
remove
138
ref
subst
nil
421
ref
4602
ref
cons
nil
cons
cons
4604
def
85
ref
subst
4604
remove
138
ref
subst
nil
67
ref
4584
ref
nil
cons
4605
def
cons
4606
def
68
ref
4592
ref
nil
cons
4607
def
cons
4608
def
nil
cons
4609
def
cons
nil
cons
cons
4610
def
85
ref
subst
4610
remove
138
ref
subst
1904
ref
847
ref
10
ref
4591
ref
appTerm
4611
def
1041
ref
"f"
329
ref
var
4612
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
10
ref
4612
remove
varTerm
385
ref
appTerm
appTerm
401
ref
390
ref
3897
ref
392
ref
2823
ref
383
ref
appTerm
4613
def
appTerm
4614
def
200
ref
appTerm
4615
def
appTerm
4616
def
appTerm
3906
ref
2897
ref
appTerm
4617
def
appTerm
4618
def
appTerm
4619
def
2948
ref
appTerm
4620
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4621
def
345
ref
appTerm
4622
def
appTerm
absTerm
4623
def
1404
ref
appTerm
4624
def
betaConv
130
ref
65
ref
4623
ref
appTerm
4625
def
absTerm
4626
def
1710
ref
appTerm
4627
def
betaConv
192
ref
65
ref
4626
ref
appTerm
4628
def
absTerm
4629
def
200
ref
appTerm
4630
def
betaConv
6
ref
65
ref
4629
ref
appTerm
4631
def
absTerm
4632
def
19
ref
appTerm
4633
def
betaConv
nil
65
ref
4632
ref
appTerm
4634
def
axiom
nil
67
ref
4634
remove
nil
cons
cons
68
ref
4633
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4632
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4631
remove
nil
cons
cons
68
ref
4630
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4629
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4628
remove
nil
cons
cons
68
ref
4627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4626
remove
nil
cons
cons
130
ref
3979
ref
cons
nil
cons
4635
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4625
remove
nil
cons
cons
68
ref
4624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4623
remove
nil
cons
cons
130
ref
4010
ref
cons
nil
cons
4636
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4637
def
appThm
2948
ref
refl
4638
def
appThm
sym
nil
1410
ref
68
ref
947
ref
378
ref
947
ref
379
ref
57
ref
346
ref
355
ref
215
ref
appTerm
384
ref
appTerm
4639
def
appTerm
4640
def
appTerm
3728
ref
appTerm
4641
def
absTerm
4642
def
appTerm
4643
def
absTerm
4644
def
appTerm
4645
def
nil
cons
4646
def
cons
4647
def
nil
cons
4648
def
cons
nil
cons
cons
4649
def
85
ref
subst
4649
remove
138
ref
subst
953
remove
345
ref
appTerm
4650
def
betaConv
965
remove
nil
967
remove
68
ref
4650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
504
remove
968
remove
945
ref
345
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4651
def
nil
67
ref
947
ref
978
ref
950
remove
556
ref
346
ref
355
ref
979
ref
appTerm
4652
def
951
ref
appTerm
appTerm
absTerm
4653
def
appTerm
absTerm
appTerm
nil
cons
cons
4654
def
4648
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
976
ref
978
ref
108
ref
977
remove
556
ref
4653
ref
951
remove
appTerm
betaConv
absThm
appThm
appThm
976
ref
"a''"
1
ref
var
4655
def
976
ref
877
ref
4653
ref
357
ref
4655
ref
varTerm
4656
def
appTerm
878
ref
appTerm
4657
def
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
981
remove
4653
remove
nil
cons
cons
nil
cons
nil
cons
cons
995
remove
subst
eqMp
absThm
appThm
appThm
4658
def
4645
ref
refl
4659
def
appThm
sym
nil
5
ref
190
ref
69
ref
978
ref
947
ref
4655
ref
947
ref
877
ref
346
ref
4652
remove
4657
ref
appTerm
appTerm
4660
def
absTerm
4661
def
appTerm
4662
def
absTerm
4663
def
appTerm
4664
def
absTerm
4665
def
196
ref
appTerm
4666
def
appTerm
4645
ref
appTerm
4667
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
4667
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4666
ref
nil
cons
4668
def
cons
4648
ref
cons
nil
cons
cons
4669
def
85
ref
subst
4669
remove
138
ref
subst
4666
ref
betaConv
4666
remove
assume
eqMp
nil
67
ref
947
ref
4655
ref
947
ref
877
ref
346
ref
380
ref
4657
remove
appTerm
appTerm
absTerm
appTerm
absTerm
4670
def
appTerm
4671
def
nil
cons
cons
4648
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
378
ref
69
ref
4670
ref
381
ref
appTerm
4672
def
appTerm
4645
ref
appTerm
4673
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4673
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4672
ref
nil
cons
4674
def
cons
4648
ref
cons
nil
cons
cons
4675
def
85
ref
subst
4675
remove
138
ref
subst
4672
ref
betaConv
4672
remove
assume
eqMp
nil
67
ref
947
ref
877
ref
346
ref
1008
remove
appTerm
absTerm
4676
def
appTerm
4677
def
nil
cons
cons
4648
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
4676
ref
383
ref
appTerm
4678
def
appTerm
4645
ref
appTerm
4679
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4679
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4678
ref
nil
cons
4680
def
cons
4648
ref
cons
nil
cons
cons
4681
def
85
ref
subst
4681
remove
138
ref
subst
4678
ref
betaConv
4678
remove
assume
eqMp
nil
67
ref
346
ref
385
ref
appTerm
4682
def
nil
cons
4683
def
cons
4648
remove
cons
nil
cons
cons
4684
def
129
ref
subst
proveHyp
4684
ref
85
ref
subst
4684
remove
138
ref
subst
4644
ref
381
ref
appTerm
4685
def
betaConv
4686
def
sym
4642
ref
383
ref
appTerm
4687
def
betaConv
4688
def
sym
58
ref
707
ref
4682
ref
assume
4689
def
appThm
4690
def
4639
remove
refl
appThm
nil
2623
ref
1019
remove
cons
4691
def
978
ref
257
ref
cons
1022
remove
cons
cons
nil
cons
cons
2642
ref
subst
57
ref
1396
ref
appTerm
4692
def
refl
nil
877
ref
1369
remove
cons
4693
def
978
ref
1371
remove
cons
4694
def
1373
remove
cons
cons
nil
cons
cons
2646
ref
subst
58
ref
nil
1390
ref
nil
cons
cons
713
ref
subst
appThm
nil
1391
ref
nil
cons
cons
713
ref
subst
appThm
186
ref
trans
trans
appThm
nil
50
ref
1397
ref
cons
nil
cons
nil
cons
cons
311
ref
subst
trans
trans
trans
appThm
3728
ref
refl
appThm
sym
2044
ref
nil
67
ref
745
remove
cons
68
ref
4692
remove
3728
remove
appTerm
4695
def
nil
cons
4696
def
cons
nil
cons
4697
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
338
ref
339
remove
4689
remove
appThm
1024
remove
trans
appThm
752
remove
appThm
appThm
4695
remove
refl
appThm
sym
nil
67
ref
1397
ref
cons
4697
remove
cons
nil
cons
cons
4698
def
85
ref
subst
4698
remove
138
ref
subst
28
ref
"_29930"
1
ref
var
4699
def
57
ref
1393
ref
4699
remove
varTerm
4700
def
appTerm
appTerm
10
ref
3717
ref
4700
remove
appTerm
appTerm
2897
ref
appTerm
appTerm
absTerm
4701
def
215
ref
appTerm
4702
def
appTerm
refl
4701
ref
196
ref
appTerm
betaConv
appThm
108
ref
4702
remove
betaConv
appThm
57
ref
1393
ref
196
ref
appTerm
appTerm
10
ref
3717
ref
196
ref
appTerm
4703
def
appTerm
4704
def
2897
ref
appTerm
4705
def
appTerm
refl
appThm
trans
4701
remove
refl
1396
remove
assume
sym
appThm
eqMp
sym
58
ref
nil
1389
ref
nil
cons
cons
713
ref
subst
appThm
4705
ref
refl
4706
def
appThm
nil
50
ref
4705
ref
nil
cons
4707
def
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
58
ref
1442
ref
appThm
4708
def
4690
remove
385
ref
refl
4709
def
appThm
nil
945
ref
385
ref
nil
cons
cons
nil
cons
nil
cons
cons
505
remove
543
remove
subst
4710
def
subst
trans
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
883
remove
appTerm
4711
def
4682
remove
appTerm
4712
def
nil
cons
cons
68
ref
4707
ref
cons
nil
cons
4713
def
cons
nil
cons
cons
129
ref
subst
proveHyp
6
ref
69
ref
4712
remove
appTerm
4714
def
4705
ref
appTerm
4715
def
absTerm
4716
def
19
ref
appTerm
4717
def
betaConv
378
ref
65
ref
4716
ref
appTerm
4718
def
absTerm
4719
def
381
ref
appTerm
4720
def
betaConv
190
ref
65
ref
4719
ref
appTerm
4721
def
absTerm
4722
def
196
ref
appTerm
4723
def
betaConv
192
ref
65
ref
4722
ref
appTerm
4724
def
absTerm
4725
def
200
ref
appTerm
4726
def
betaConv
379
ref
65
ref
4725
ref
appTerm
4727
def
absTerm
4728
def
383
ref
appTerm
4729
def
betaConv
nil
5
ref
6
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
69
ref
4711
ref
2050
remove
385
ref
appTerm
appTerm
appTerm
4730
def
10
ref
390
ref
2882
remove
appTerm
196
ref
appTerm
appTerm
2897
ref
appTerm
appTerm
4731
def
absTerm
4732
def
appTerm
4733
def
absTerm
4734
def
appTerm
4735
def
absTerm
4736
def
appTerm
4737
def
absTerm
4738
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4737
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4736
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
4735
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4734
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4733
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4732
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4731
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
151
ref
4711
ref
refl
4739
def
707
ref
711
remove
appThm
4709
ref
appThm
nil
4691
ref
978
ref
270
ref
cons
4740
def
712
remove
cons
cons
nil
cons
cons
2642
ref
subst
57
ref
290
ref
196
ref
appTerm
4741
def
appTerm
4742
def
refl
nil
4693
ref
4694
ref
312
remove
666
ref
cons
4743
def
cons
cons
nil
cons
cons
2646
ref
subst
appThm
trans
trans
appThm
appThm
4744
def
338
ref
1463
ref
2889
remove
appThm
196
ref
refl
4745
def
appThm
nil
436
ref
270
ref
cons
4746
def
nil
cons
nil
cons
cons
1480
ref
subst
trans
appThm
3725
ref
appThm
appThm
sym
nil
67
ref
4711
ref
4742
remove
57
ref
10
ref
359
ref
appTerm
4747
def
381
ref
appTerm
4748
def
appTerm
4749
def
592
ref
383
ref
appTerm
4750
def
appTerm
4751
def
appTerm
4752
def
appTerm
nil
cons
4753
def
cons
4754
def
68
ref
1393
ref
2897
ref
appTerm
nil
cons
4755
def
cons
nil
cons
cons
nil
cons
cons
4756
def
85
ref
subst
4756
remove
138
ref
subst
nil
1649
ref
106
ref
4752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4757
def
224
ref
subst
4758
def
nil
104
ref
4741
ref
nil
cons
cons
106
ref
4751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4759
def
120
ref
subst
4759
remove
224
ref
subst
4760
def
nil
104
ref
4748
ref
nil
cons
cons
4761
def
106
ref
4750
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4762
def
120
ref
subst
4763
def
28
ref
"_29688"
1
ref
var
4764
def
1393
ref
392
ref
4764
remove
varTerm
appTerm
19
ref
appTerm
appTerm
absTerm
4765
def
381
ref
appTerm
4766
def
appTerm
refl
4765
ref
359
ref
appTerm
betaConv
appThm
108
ref
4766
remove
betaConv
appThm
1393
ref
2691
ref
19
ref
appTerm
4767
def
appTerm
refl
appThm
trans
4765
remove
refl
4748
remove
assume
sym
4768
def
appThm
eqMp
sym
28
ref
"_29694"
1
ref
var
4769
def
10
ref
4769
remove
varTerm
appTerm
4767
ref
appTerm
absTerm
4770
def
196
ref
appTerm
4771
def
appTerm
refl
4770
ref
19
ref
appTerm
betaConv
appThm
108
ref
4771
remove
betaConv
appThm
290
ref
4767
ref
appTerm
refl
appThm
trans
4770
remove
refl
4741
remove
assume
sym
appThm
eqMp
sym
290
ref
refl
2961
ref
3222
ref
subst
4772
def
appThm
714
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
4753
remove
cons
4773
def
106
ref
4755
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4738
remove
appTerm
4774
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
719
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
4715
ref
absTerm
4775
def
appTerm
4776
def
absTerm
4777
def
appTerm
4778
def
absTerm
4779
def
appTerm
4780
def
appTerm
4781
def
absTerm
4782
def
appTerm
4783
def
absTerm
4784
def
appTerm
4785
def
appTerm
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
717
ref
726
ref
728
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
69
ref
728
ref
1015
remove
appTerm
appTerm
4786
def
10
ref
390
ref
2881
ref
403
ref
appTerm
appTerm
4787
def
196
ref
appTerm
appTerm
3048
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4788
def
appTerm
4789
def
appTerm
4790
def
appTerm
4791
def
appTerm
4792
def
appTerm
4780
ref
appTerm
4793
def
absTerm
4794
def
appTerm
4795
def
absTerm
4796
def
appTerm
4797
def
absTerm
4798
def
appTerm
4799
def
appTerm
4800
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
4784
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4783
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4782
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4781
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
744
ref
68
ref
4780
ref
nil
cons
4801
def
cons
nil
cons
4802
def
cons
nil
cons
cons
4803
def
85
ref
subst
4803
remove
138
ref
subst
750
ref
751
ref
nil
5
ref
4779
ref
nil
cons
cons
4804
def
nil
cons
nil
cons
cons
49
ref
subst
4805
def
190
ref
nil
50
ref
4778
remove
nil
cons
4806
def
cons
nil
cons
nil
cons
cons
56
ref
subst
4807
def
nil
5
ref
4777
ref
nil
cons
cons
4808
def
nil
cons
nil
cons
cons
49
ref
subst
4809
def
378
ref
nil
50
ref
4776
remove
nil
cons
4810
def
cons
nil
cons
nil
cons
cons
56
ref
subst
4811
def
nil
5
ref
4775
ref
nil
cons
cons
4812
def
nil
cons
nil
cons
cons
49
ref
subst
4813
def
379
ref
nil
50
ref
4715
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
4814
def
151
ref
4739
ref
707
ref
416
remove
appThm
4709
ref
appThm
appThm
appThm
4815
def
4706
ref
appThm
sym
4816
def
nil
2088
ref
68
ref
69
ref
4711
ref
343
ref
409
remove
appTerm
385
ref
appTerm
appTerm
appTerm
4817
def
4705
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
151
ref
632
ref
192
ref
885
ref
347
ref
0
ref
2
ref
27
remove
nil
cons
cons
opType
constTerm
4818
def
882
ref
appTerm
352
remove
appTerm
887
remove
appTerm
appTerm
absTerm
4819
def
200
ref
appTerm
4820
def
betaConv
6
ref
65
ref
4819
ref
appTerm
4821
def
absTerm
4822
def
19
ref
appTerm
4823
def
betaConv
nil
65
ref
4822
ref
appTerm
4824
def
axiom
nil
67
ref
4824
remove
nil
cons
cons
68
ref
4823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4822
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4821
remove
nil
cons
cons
68
ref
4820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4819
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4818
remove
refl
488
ref
appThm
882
ref
refl
appThm
757
ref
refl
appThm
nil
2388
ref
777
remove
cons
2844
remove
cons
nil
cons
cons
1162
ref
525
remove
subst
subst
trans
trans
appThm
4825
def
151
ref
4739
ref
707
ref
754
remove
nil
1887
remove
"f"
332
remove
var
405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
538
remove
"f"
1210
ref
var
4826
def
varTerm
4827
def
134
ref
appTerm
4828
def
refl
subst
subst
appThm
nil
501
ref
408
ref
nil
cons
cons
767
remove
cons
nil
cons
cons
526
remove
subst
trans
appThm
4709
ref
appThm
appThm
appThm
4829
def
4706
ref
appThm
appThm
sym
nil
806
ref
68
ref
69
ref
4711
ref
343
ref
408
remove
appTerm
385
ref
appTerm
appTerm
appTerm
4830
def
4705
ref
appTerm
nil
cons
4831
def
cons
nil
cons
cons
nil
cons
cons
4832
def
85
ref
subst
4832
remove
138
ref
subst
151
ref
4739
ref
707
ref
755
remove
499
remove
338
ref
757
remove
assume
4833
def
appThm
921
ref
appThm
2311
ref
trans
appThm
925
remove
appThm
759
remove
377
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
760
remove
762
remove
926
remove
927
remove
928
remove
929
ref
930
remove
4833
ref
appThm
appThm
931
remove
appThm
appThm
4834
def
appThm
933
remove
934
ref
4834
remove
appThm
appThm
appThm
appThm
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
935
ref
4833
ref
appThm
936
remove
4833
ref
appThm
appThm
appThm
appThm
nil
501
remove
376
remove
377
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
386
remove
380
ref
357
ref
534
ref
appTerm
391
remove
393
ref
534
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
535
remove
appTerm
nil
cons
cons
942
remove
cons
nil
cons
cons
2693
remove
subst
trans
trans
appThm
4709
ref
appThm
nil
4691
ref
4740
ref
812
remove
cons
cons
nil
cons
cons
2642
ref
subst
57
ref
351
ref
196
ref
appTerm
4835
def
appTerm
4836
def
refl
nil
4693
ref
4694
ref
192
ref
371
ref
nil
cons
4837
def
cons
666
ref
cons
cons
cons
nil
cons
cons
2646
ref
subst
appThm
trans
trans
appThm
appThm
4838
def
4706
ref
appThm
sym
nil
67
ref
4711
ref
4836
remove
4749
remove
10
ref
371
ref
appTerm
383
ref
appTerm
4839
def
appTerm
4840
def
appTerm
4841
def
appTerm
nil
cons
4842
def
cons
4843
def
4713
ref
cons
nil
cons
cons
4844
def
85
ref
subst
4844
remove
138
ref
subst
nil
1649
ref
106
ref
4841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4845
def
120
ref
subst
4846
def
4845
remove
224
ref
subst
4847
def
nil
104
ref
4835
ref
nil
cons
cons
106
ref
4840
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4848
def
120
ref
subst
4848
remove
224
ref
subst
4849
def
nil
4761
remove
106
ref
4839
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4850
def
120
ref
subst
4851
def
4850
remove
224
ref
subst
4852
def
28
ref
"_29698"
1
ref
var
4853
def
10
ref
390
ref
392
ref
4853
remove
varTerm
appTerm
200
ref
appTerm
appTerm
196
ref
appTerm
appTerm
2897
ref
appTerm
absTerm
4854
def
383
ref
appTerm
4855
def
appTerm
refl
4856
def
4854
ref
371
ref
appTerm
betaConv
appThm
108
ref
4855
remove
betaConv
appThm
4857
def
10
ref
390
ref
392
ref
371
ref
appTerm
200
ref
appTerm
appTerm
4858
def
196
ref
appTerm
appTerm
4859
def
2897
ref
appTerm
refl
appThm
trans
4854
remove
refl
4860
def
4839
remove
assume
sym
4861
def
appThm
eqMp
sym
28
ref
"_29710"
1
ref
var
4862
def
4859
ref
392
ref
4862
remove
varTerm
appTerm
19
ref
appTerm
appTerm
absTerm
4863
def
381
ref
appTerm
4864
def
appTerm
refl
4863
ref
359
ref
appTerm
betaConv
appThm
108
ref
4864
remove
betaConv
appThm
4859
remove
4767
ref
appTerm
refl
appThm
trans
4863
remove
refl
4768
ref
appThm
eqMp
sym
28
ref
"_29720"
1
ref
var
4865
def
10
ref
4858
ref
4865
remove
varTerm
appTerm
appTerm
4767
ref
appTerm
absTerm
4866
def
196
ref
appTerm
4867
def
appTerm
refl
4866
ref
200
ref
appTerm
betaConv
appThm
108
ref
4867
remove
betaConv
appThm
10
ref
4858
remove
200
ref
appTerm
4868
def
appTerm
4869
def
4767
remove
appTerm
refl
appThm
trans
4866
remove
refl
4835
remove
assume
sym
appThm
eqMp
sym
4869
ref
refl
4772
remove
appThm
sym
847
ref
57
ref
4869
ref
1404
ref
appTerm
appTerm
1405
ref
19
ref
appTerm
appTerm
absTerm
4870
def
393
ref
200
ref
appTerm
4871
def
appTerm
betaConv
sym
338
ref
nil
1591
ref
1419
ref
4837
ref
cons
nil
cons
4872
def
cons
nil
cons
cons
436
ref
10
ref
1523
remove
appTerm
1494
remove
appTerm
4873
def
absTerm
4874
def
437
ref
appTerm
4875
def
betaConv
1419
ref
65
ref
4874
ref
appTerm
4876
def
absTerm
4877
def
1420
ref
appTerm
4878
def
betaConv
149
ref
1419
ref
149
ref
436
ref
4873
remove
assume
sym
1524
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1529
remove
eqMp
nil
67
ref
65
ref
4877
ref
appTerm
nil
cons
cons
68
ref
4878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4877
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4876
remove
nil
cons
cons
68
ref
4875
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4874
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
929
ref
nil
4872
remove
nil
cons
cons
1419
ref
2246
remove
1504
ref
359
ref
appTerm
4879
def
appTerm
4880
def
absTerm
4881
def
1420
ref
appTerm
4882
def
betaConv
nil
65
ref
4881
ref
appTerm
4883
def
axiom
4884
def
nil
67
ref
4883
remove
nil
cons
cons
68
ref
4882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4881
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4885
def
subst
appThm
417
ref
appThm
trans
appThm
4871
ref
refl
appThm
nil
436
ref
370
ref
nil
cons
4886
def
cons
4887
def
1925
ref
1419
ref
390
ref
371
ref
appTerm
359
ref
appTerm
4888
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1530
ref
28
ref
10
ref
2995
ref
appTerm
3029
ref
appTerm
appTerm
600
ref
2247
remove
appTerm
2424
ref
17
ref
appTerm
4889
def
appTerm
appTerm
absTerm
4890
def
1534
ref
appTerm
4891
def
betaConv
436
ref
65
ref
4890
ref
appTerm
4892
def
absTerm
4893
def
437
ref
appTerm
4894
def
betaConv
1419
ref
65
ref
4893
ref
appTerm
4895
def
absTerm
4896
def
1420
ref
appTerm
4897
def
betaConv
nil
65
ref
4896
ref
appTerm
4898
def
axiom
4899
def
nil
67
ref
4898
remove
nil
cons
cons
4900
def
68
ref
4897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4896
ref
nil
cons
cons
4901
def
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4895
remove
nil
cons
cons
68
ref
4894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4893
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4892
remove
nil
cons
cons
68
ref
4891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4890
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4902
def
subst
600
ref
10
ref
4888
ref
appTerm
370
ref
appTerm
4903
def
appTerm
refl
488
ref
appThm
nil
50
ref
4903
ref
nil
cons
4904
def
cons
nil
cons
nil
cons
cons
50
ref
28
ref
601
ref
448
ref
appTerm
appTerm
52
ref
appTerm
absTerm
4905
def
52
ref
appTerm
4906
def
betaConv
nil
165
ref
4905
ref
appTerm
4907
def
axiom
nil
67
ref
4907
remove
nil
cons
cons
68
ref
4906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
4905
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4908
def
subst
trans
trans
trans
sym
1593
ref
refl
4909
def
2244
ref
appThm
370
ref
refl
appThm
nil
4887
ref
2256
ref
cons
nil
cons
cons
436
ref
28
ref
1593
ref
1493
ref
appTerm
437
ref
appTerm
appTerm
1927
ref
appTerm
absTerm
4910
def
437
ref
appTerm
4911
def
betaConv
1419
ref
65
ref
4910
ref
appTerm
4912
def
absTerm
4913
def
1420
ref
appTerm
4914
def
betaConv
nil
65
ref
4913
ref
appTerm
4915
def
axiom
nil
67
ref
4915
remove
nil
cons
cons
68
ref
4914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4913
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4912
remove
nil
cons
cons
68
ref
4911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4910
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4916
def
subst
nil
4887
ref
nil
cons
nil
cons
cons
2267
ref
subst
trans
trans
sym
nil
104
ref
10
ref
370
ref
appTerm
17
ref
appTerm
4917
def
nil
cons
4918
def
cons
4919
def
nil
cons
nil
cons
cons
478
remove
sym
4920
def
subst
nil
67
ref
4918
remove
cons
457
ref
cons
nil
cons
cons
4921
def
85
ref
subst
4921
remove
138
ref
subst
436
ref
441
ref
10
ref
390
ref
392
ref
369
remove
437
ref
appTerm
appTerm
437
ref
appTerm
appTerm
406
ref
437
ref
appTerm
4922
def
appTerm
appTerm
19
ref
appTerm
appTerm
absTerm
4923
def
200
ref
appTerm
4924
def
betaConv
1424
remove
19
ref
appTerm
4925
def
betaConv
1427
remove
nil
1428
remove
68
ref
4925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1429
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
4923
ref
appTerm
nil
cons
cons
68
ref
4924
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4923
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4926
def
nil
67
ref
445
ref
10
ref
390
ref
4871
ref
appTerm
4927
def
407
ref
appTerm
appTerm
19
ref
appTerm
appTerm
nil
cons
4928
def
cons
4929
def
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
50
ref
4928
remove
cons
nil
cons
nil
cons
cons
898
ref
subst
447
ref
492
ref
338
ref
1463
ref
929
ref
4917
remove
assume
appThm
417
ref
appThm
2553
remove
1472
remove
subst
trans
appThm
4833
ref
appThm
2302
remove
trans
appThm
821
ref
appThm
3851
remove
trans
appThm
906
remove
trans
appThm
490
ref
trans
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
4919
ref
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
4930
def
nil
67
ref
1593
ref
359
ref
appTerm
370
ref
appTerm
4931
def
nil
cons
cons
4932
def
68
ref
4904
ref
cons
4933
def
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2360
ref
1419
ref
4886
remove
cons
nil
cons
4934
def
cons
nil
cons
cons
2800
remove
subst
4935
def
eqMp
eqMp
nil
67
ref
4869
ref
4871
ref
appTerm
nil
cons
cons
68
ref
10
ref
4871
ref
appTerm
19
ref
appTerm
4936
def
nil
cons
4937
def
cons
nil
cons
4938
def
cons
nil
cons
cons
138
ref
subst
proveHyp
4926
ref
nil
4929
ref
4938
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
492
ref
338
ref
4927
ref
refl
4939
def
4833
remove
appThm
nil
1419
ref
4871
ref
nil
cons
4940
def
cons
nil
cons
nil
cons
cons
2614
ref
subst
trans
appThm
821
ref
appThm
appThm
nil
50
ref
4937
remove
cons
nil
cons
nil
cons
cons
4941
def
498
ref
subst
trans
appThm
4936
remove
refl
appThm
4941
remove
178
ref
subst
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
4870
ref
nil
cons
cons
130
ref
4940
ref
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
4870
remove
appTerm
nil
cons
cons
68
ref
4869
remove
19
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
ref
131
remove
cons
130
ref
4868
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1708
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
4842
remove
cons
4942
def
106
ref
4707
ref
cons
nil
cons
4943
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
871
ref
106
ref
4831
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
908
ref
106
ref
4801
ref
cons
nil
cons
4944
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
4785
remove
nil
cons
cons
68
ref
4799
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
4798
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
4797
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4796
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4795
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4794
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
4793
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4792
remove
nil
cons
4945
def
cons
4802
remove
cons
nil
cons
cons
4946
def
85
ref
subst
4946
remove
138
ref
subst
nil
583
ref
106
ref
4791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4947
def
120
ref
subst
4947
remove
224
ref
subst
nil
913
ref
106
ref
4790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4948
def
120
ref
subst
4948
remove
224
ref
subst
nil
916
ref
106
ref
4789
remove
nil
cons
4949
def
cons
nil
cons
cons
nil
cons
cons
4950
def
120
ref
subst
4950
remove
224
ref
subst
4805
remove
190
ref
4807
remove
4809
remove
378
ref
4811
remove
4813
remove
379
ref
4814
ref
4816
remove
151
ref
4739
ref
707
ref
943
remove
appThm
4709
ref
appThm
appThm
appThm
4951
def
4706
ref
appThm
sym
969
ref
nil
972
ref
68
ref
69
ref
4711
ref
343
ref
940
remove
appTerm
385
ref
appTerm
appTerm
appTerm
4952
def
4705
ref
appTerm
4953
def
nil
cons
4954
def
cons
nil
cons
4955
def
cons
nil
cons
cons
129
ref
subst
proveHyp
996
ref
4953
ref
refl
appThm
sym
nil
5
ref
"g'"
1
ref
var
4956
def
69
ref
997
remove
4956
ref
varTerm
4957
def
appTerm
4958
def
appTerm
4959
def
4953
ref
appTerm
4960
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
4956
ref
nil
50
ref
4960
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4958
ref
nil
cons
4961
def
cons
4962
def
4955
ref
cons
nil
cons
cons
4963
def
85
ref
subst
4963
remove
138
ref
subst
4958
ref
betaConv
4958
remove
assume
eqMp
4964
def
nil
67
ref
947
ref
978
ref
947
ref
877
ref
970
ref
355
ref
4957
ref
appTerm
4965
def
980
remove
appTerm
appTerm
absTerm
appTerm
absTerm
4966
def
appTerm
4967
def
nil
cons
cons
4968
def
4955
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
"s'"
1
ref
var
4969
def
69
ref
4966
ref
4969
ref
varTerm
4970
def
appTerm
4971
def
appTerm
4972
def
4953
ref
appTerm
4973
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
4969
ref
nil
50
ref
4973
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4971
ref
nil
cons
4974
def
cons
4975
def
4955
ref
cons
nil
cons
cons
4976
def
85
ref
subst
4976
remove
138
ref
subst
4971
ref
betaConv
4971
remove
assume
eqMp
4977
def
nil
67
ref
947
ref
877
ref
970
ref
4965
ref
357
ref
4970
ref
appTerm
4978
def
878
ref
appTerm
appTerm
appTerm
absTerm
4979
def
appTerm
4980
def
nil
cons
cons
4981
def
4955
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
3321
ref
69
ref
4979
ref
3322
ref
appTerm
4982
def
appTerm
4983
def
4953
ref
appTerm
4984
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
3321
ref
nil
50
ref
4984
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4982
ref
nil
cons
4985
def
cons
4986
def
4955
ref
cons
nil
cons
cons
4987
def
85
ref
subst
4987
remove
138
ref
subst
4982
ref
betaConv
4982
remove
assume
eqMp
4988
def
nil
67
ref
970
ref
4965
ref
4978
ref
3322
ref
appTerm
4989
def
appTerm
4990
def
appTerm
4991
def
nil
cons
4992
def
cons
4993
def
4955
ref
cons
nil
cons
cons
4994
def
129
ref
subst
proveHyp
4994
ref
85
ref
subst
4994
remove
138
ref
subst
379
ref
69
ref
728
ref
970
ref
4965
ref
4978
remove
383
ref
appTerm
appTerm
appTerm
appTerm
appTerm
4995
def
10
ref
4787
remove
4957
ref
appTerm
appTerm
4996
def
392
ref
4970
ref
appTerm
152
ref
appTerm
4997
def
appTerm
appTerm
absTerm
4998
def
3322
ref
appTerm
4999
def
betaConv
378
ref
65
ref
379
ref
69
ref
728
ref
970
ref
4965
remove
384
ref
appTerm
appTerm
appTerm
appTerm
5000
def
4996
remove
3048
ref
appTerm
appTerm
absTerm
appTerm
absTerm
5001
def
4970
ref
appTerm
5002
def
betaConv
4788
ref
4957
ref
appTerm
5003
def
betaConv
nil
67
ref
4949
remove
cons
68
ref
5003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
4788
remove
nil
cons
cons
130
ref
4957
ref
nil
cons
5004
def
cons
nil
cons
5005
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5001
ref
appTerm
nil
cons
cons
68
ref
5002
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5001
remove
nil
cons
cons
130
ref
4970
ref
nil
cons
5006
def
cons
nil
cons
5007
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
4998
ref
appTerm
nil
cons
cons
68
ref
4999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4998
remove
nil
cons
cons
130
ref
3322
ref
nil
cons
5008
def
cons
nil
cons
5009
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
728
ref
4991
ref
appTerm
appTerm
5010
def
10
ref
390
ref
3323
ref
403
ref
appTerm
5011
def
appTerm
5012
def
4957
ref
appTerm
appTerm
4997
ref
appTerm
5013
def
appTerm
nil
cons
cons
4955
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
58
ref
447
ref
924
ref
appThm
490
ref
trans
5014
def
appThm
707
ref
4991
remove
assume
5015
def
appThm
4990
remove
refl
appThm
nil
2623
remove
4989
ref
nil
cons
5016
def
cons
5017
def
978
ref
5004
ref
cons
556
ref
5016
remove
cons
6
ref
5004
ref
cons
nil
cons
5018
def
cons
cons
cons
nil
cons
cons
2642
ref
subst
58
ref
nil
5005
ref
nil
cons
cons
713
ref
subst
appThm
nil
877
ref
5008
ref
cons
5019
def
978
ref
5006
ref
cons
5020
def
192
ref
5008
ref
cons
6
ref
5006
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
2646
ref
subst
58
ref
nil
5007
ref
nil
cons
cons
713
ref
subst
appThm
nil
5009
ref
nil
cons
cons
713
ref
subst
appThm
186
ref
trans
trans
appThm
186
ref
trans
trans
trans
appThm
186
ref
trans
appThm
5021
def
5013
ref
refl
appThm
nil
50
ref
5013
ref
nil
cons
5022
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
151
ref
4739
remove
707
ref
1025
remove
5015
ref
appThm
nil
379
ref
5008
ref
cons
378
ref
5006
ref
cons
190
ref
5004
remove
cons
nil
cons
cons
cons
nil
cons
cons
1392
remove
subst
trans
appThm
4709
remove
appThm
nil
4691
remove
4740
ref
556
ref
357
remove
390
ref
4970
ref
appTerm
398
ref
3322
ref
appTerm
5023
def
appTerm
5024
def
appTerm
390
ref
3322
ref
appTerm
5025
def
393
ref
5024
ref
appTerm
appTerm
5026
def
appTerm
nil
cons
cons
5018
remove
cons
cons
cons
nil
cons
cons
2642
ref
subst
57
ref
10
ref
4957
ref
appTerm
196
ref
appTerm
5027
def
appTerm
5028
def
refl
nil
4693
remove
4694
remove
192
ref
5026
ref
nil
cons
cons
6
ref
5024
ref
nil
cons
5029
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
2646
ref
subst
appThm
trans
trans
appThm
appThm
5030
def
4706
remove
appThm
appThm
sym
nil
67
ref
5022
ref
cons
68
ref
69
ref
4711
ref
5028
remove
57
ref
10
ref
5024
ref
appTerm
381
ref
appTerm
5031
def
appTerm
10
ref
5026
ref
appTerm
383
ref
appTerm
5032
def
appTerm
5033
def
appTerm
5034
def
appTerm
5035
def
appTerm
5036
def
4705
ref
appTerm
nil
cons
5037
def
cons
nil
cons
cons
nil
cons
cons
5038
def
85
ref
subst
5038
remove
138
ref
subst
nil
67
ref
5035
remove
nil
cons
5039
def
cons
5040
def
4713
remove
cons
nil
cons
cons
5041
def
85
ref
subst
5041
remove
138
ref
subst
nil
1649
ref
106
ref
5034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
5042
def
nil
104
ref
5027
ref
nil
cons
cons
106
ref
5033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5043
def
120
ref
subst
5044
def
5043
remove
224
ref
subst
5045
def
nil
104
ref
5031
ref
nil
cons
cons
106
ref
5032
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5046
def
120
ref
subst
5047
def
5046
remove
224
ref
subst
5048
def
4856
remove
"_29748"
1
ref
var
5049
def
10
ref
390
ref
392
ref
5049
remove
varTerm
appTerm
200
ref
appTerm
appTerm
196
ref
appTerm
appTerm
2897
ref
appTerm
absTerm
5026
ref
appTerm
betaConv
appThm
4857
remove
10
ref
390
ref
392
ref
5026
ref
appTerm
200
ref
appTerm
appTerm
196
ref
appTerm
appTerm
2897
ref
appTerm
refl
appThm
trans
4860
remove
5032
remove
assume
sym
5050
def
appThm
eqMp
sym
338
ref
1463
ref
929
ref
5025
ref
refl
934
remove
5031
remove
assume
5051
def
appThm
appThm
5052
def
appThm
417
ref
appThm
appThm
4745
ref
appThm
appThm
3725
ref
appThm
sym
338
ref
1463
ref
929
ref
nil
436
ref
393
remove
381
ref
appTerm
5053
def
nil
cons
5054
def
cons
5055
def
1419
ref
5008
ref
cons
nil
cons
5056
def
cons
nil
cons
cons
1521
ref
subst
appThm
417
ref
appThm
appThm
4745
ref
appThm
appThm
3725
ref
appThm
sym
338
ref
1463
ref
nil
1925
ref
436
ref
5008
remove
cons
5057
def
1419
ref
5054
remove
cons
5058
def
nil
cons
cons
cons
nil
cons
cons
3365
ref
subst
appThm
4745
ref
appThm
nil
1530
ref
270
ref
cons
5059
def
436
ref
3324
ref
nil
cons
cons
1419
ref
392
ref
5053
ref
appTerm
200
ref
appTerm
5060
def
nil
cons
cons
nil
cons
5061
def
cons
cons
nil
cons
cons
1557
ref
subst
trans
appThm
3725
ref
appThm
sym
1417
remove
152
ref
appTerm
5062
def
betaConv
1430
remove
nil
1431
remove
68
ref
5062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1432
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5063
def
nil
67
ref
69
ref
727
ref
appTerm
5064
def
10
ref
390
ref
398
ref
152
ref
appTerm
5065
def
appTerm
5066
def
403
ref
appTerm
appTerm
200
ref
appTerm
5067
def
appTerm
nil
cons
cons
5068
def
68
ref
10
ref
390
ref
5060
remove
appTerm
5069
def
390
ref
3324
remove
appTerm
196
ref
appTerm
appTerm
appTerm
2897
ref
appTerm
5070
def
nil
cons
5071
def
cons
nil
cons
5072
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
5014
remove
appThm
5073
def
5067
ref
refl
appThm
nil
50
ref
5067
ref
nil
cons
5074
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5075
def
5070
remove
refl
appThm
sym
nil
67
ref
5074
ref
cons
5076
def
5072
remove
cons
nil
cons
cons
5077
def
85
ref
subst
5077
remove
138
ref
subst
338
ref
5069
ref
refl
5078
def
1463
ref
3323
ref
refl
5067
remove
assume
sym
5079
def
appThm
appThm
4745
ref
appThm
appThm
appThm
3725
ref
appThm
sym
338
ref
5078
ref
1463
ref
nil
1530
ref
403
ref
nil
cons
5080
def
cons
5081
def
436
ref
5065
ref
nil
cons
5082
def
cons
5083
def
5056
ref
cons
cons
nil
cons
cons
3005
ref
subst
appThm
4745
ref
appThm
nil
5059
remove
436
ref
5011
remove
nil
cons
cons
1419
ref
3323
ref
5065
ref
appTerm
5084
def
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
1557
ref
subst
390
ref
5084
remove
appTerm
5085
def
refl
28
ref
"_29776"
1
ref
var
5086
def
10
ref
5012
ref
5086
remove
varTerm
appTerm
appTerm
4997
ref
appTerm
absTerm
5087
def
4957
ref
appTerm
5088
def
appTerm
refl
5087
ref
196
ref
appTerm
betaConv
appThm
108
ref
5088
remove
betaConv
appThm
10
ref
5012
remove
196
ref
appTerm
appTerm
4997
ref
appTerm
refl
appThm
trans
5087
remove
refl
5027
remove
assume
5089
def
appThm
eqMp
5013
remove
assume
eqMp
appThm
trans
trans
appThm
appThm
3725
ref
appThm
sym
4926
ref
nil
4929
ref
68
ref
10
ref
5069
ref
5085
remove
4997
ref
appTerm
appTerm
appTerm
5090
def
2897
ref
appTerm
5091
def
nil
cons
5092
def
cons
nil
cons
5093
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
492
ref
338
ref
4939
remove
920
ref
appThm
appThm
821
ref
appThm
appThm
nil
50
ref
10
ref
4927
remove
152
ref
appTerm
5094
def
appTerm
19
ref
appTerm
5095
def
nil
cons
5096
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5097
def
5091
remove
refl
appThm
sym
nil
67
ref
5096
ref
cons
5098
def
5093
remove
cons
nil
cons
cons
5099
def
85
ref
subst
5099
remove
138
ref
subst
5090
remove
refl
4230
ref
5095
remove
assume
5100
def
sym
appThm
appThm
sym
338
ref
5078
remove
1463
ref
nil
1531
ref
436
ref
397
ref
nil
cons
5101
def
cons
5056
ref
cons
5102
def
cons
nil
cons
cons
3043
ref
subst
appThm
4997
ref
refl
appThm
appThm
appThm
nil
1531
ref
436
ref
4940
ref
cons
5103
def
2887
ref
cons
cons
nil
cons
cons
3005
ref
subst
1463
ref
nil
1925
ref
4887
remove
2887
ref
cons
5104
def
cons
nil
cons
cons
3043
ref
subst
appThm
3048
ref
refl
5105
def
appThm
trans
appThm
sym
10
ref
5069
remove
390
ref
392
ref
3323
ref
397
ref
appTerm
5106
def
appTerm
152
ref
appTerm
5107
def
appTerm
4997
ref
appTerm
5108
def
appTerm
appTerm
refl
1463
ref
929
ref
nil
5104
remove
nil
cons
cons
3057
ref
subst
appThm
417
ref
appThm
appThm
5105
ref
appThm
appThm
sym
nil
1530
ref
3048
ref
nil
cons
cons
436
ref
5108
remove
nil
cons
cons
5061
remove
cons
cons
nil
cons
cons
1530
ref
28
ref
1506
ref
2364
ref
appTerm
appTerm
438
ref
1534
ref
appTerm
appTerm
absTerm
5109
def
1534
ref
appTerm
5110
def
betaConv
436
ref
65
ref
5109
ref
appTerm
5111
def
absTerm
5112
def
437
ref
appTerm
5113
def
betaConv
1419
ref
65
ref
5112
ref
appTerm
5114
def
absTerm
5115
def
1420
ref
appTerm
5116
def
betaConv
nil
65
ref
5115
ref
appTerm
5117
def
axiom
nil
67
ref
5117
remove
nil
cons
cons
68
ref
5116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5115
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5114
remove
nil
cons
cons
68
ref
5113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5112
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5111
remove
nil
cons
cons
68
ref
5110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5109
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5118
def
subst
sym
338
ref
nil
436
ref
4997
ref
nil
cons
5119
def
cons
1419
ref
5107
ref
nil
cons
5120
def
cons
nil
cons
cons
nil
cons
cons
1521
ref
subst
appThm
5105
remove
appThm
sym
28
ref
"_29780"
1
ref
var
5121
def
10
ref
390
ref
4997
remove
appTerm
5107
remove
appTerm
appTerm
5122
def
392
ref
5121
remove
varTerm
appTerm
152
ref
appTerm
appTerm
absTerm
5123
def
381
ref
appTerm
5124
def
appTerm
refl
5123
ref
5024
ref
appTerm
betaConv
appThm
108
ref
5124
remove
betaConv
appThm
5122
ref
392
ref
5024
ref
appTerm
152
ref
appTerm
appTerm
refl
appThm
trans
5123
remove
refl
5051
remove
sym
5125
def
appThm
eqMp
sym
5122
remove
refl
nil
1531
ref
436
ref
5023
ref
nil
cons
5126
def
cons
5127
def
1419
ref
5006
ref
cons
nil
cons
cons
cons
nil
cons
cons
3365
remove
subst
appThm
nil
1530
ref
392
ref
5023
ref
appTerm
152
ref
appTerm
nil
cons
cons
436
ref
5120
remove
cons
1419
ref
5119
remove
cons
nil
cons
cons
cons
nil
cons
cons
5118
remove
subst
nil
5127
ref
1531
ref
1419
ref
5106
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4902
remove
subst
600
ref
10
ref
5106
remove
appTerm
5023
ref
appTerm
5128
def
appTerm
refl
924
remove
appThm
nil
50
ref
5128
remove
nil
cons
cons
nil
cons
nil
cons
cons
4908
ref
subst
trans
trans
trans
trans
sym
nil
5102
remove
nil
cons
cons
3057
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
5096
remove
cons
5129
def
106
ref
5092
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
5074
remove
cons
5130
def
106
ref
5071
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
5039
remove
cons
5131
def
4943
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
5022
remove
cons
106
ref
5037
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4992
remove
cons
5132
def
106
ref
4954
remove
cons
nil
cons
5133
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4985
remove
cons
5134
def
5133
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4979
ref
1710
ref
appTerm
appTerm
5135
def
4953
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4980
remove
appTerm
5136
def
4953
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4979
remove
nil
cons
cons
5137
def
5133
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4974
remove
cons
5138
def
5133
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4966
ref
1710
ref
appTerm
appTerm
5139
def
4953
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4967
remove
appTerm
5140
def
4953
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4966
remove
nil
cons
cons
5141
def
5133
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4961
remove
cons
5142
def
5133
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
1711
ref
4953
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
1712
ref
4953
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1713
ref
5133
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
4945
remove
cons
4944
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
4774
remove
appTerm
4800
remove
appTerm
nil
cons
cons
68
ref
65
ref
6
ref
65
ref
192
ref
4780
remove
absTerm
5143
def
appTerm
5144
def
absTerm
5145
def
appTerm
5146
def
nil
cons
5147
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
149
ref
6
ref
6
ref
5143
ref
absTerm
5148
def
19
ref
appTerm
betaConv
5149
def
921
ref
appThm
5143
ref
17
ref
appTerm
betaConv
trans
absThm
appThm
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
1718
ref
5149
remove
417
ref
appThm
5143
ref
200
ref
appTerm
5150
def
betaConv
5151
def
trans
5152
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
1720
ref
1721
ref
1722
ref
5148
ref
152
ref
appTerm
betaConv
1723
ref
appThm
192
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
69
ref
728
ref
343
ref
1724
remove
appTerm
385
ref
appTerm
appTerm
appTerm
5153
def
4704
ref
3048
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
403
ref
appTerm
betaConv
trans
appThm
appThm
appThm
appThm
5152
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
5152
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
5148
remove
nil
cons
cons
nil
cons
nil
cons
cons
2042
ref
subst
eqMp
eqMp
5154
def
nil
67
ref
5147
ref
cons
5155
def
68
ref
65
ref
4728
ref
appTerm
nil
cons
5156
def
cons
nil
cons
cons
nil
cons
cons
5157
def
129
ref
subst
proveHyp
5157
ref
85
ref
subst
5157
remove
138
ref
subst
nil
5
ref
4728
remove
nil
cons
cons
5158
def
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
4727
remove
nil
cons
5159
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4725
remove
nil
cons
cons
5160
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
4724
remove
nil
cons
5161
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4722
remove
nil
cons
cons
5162
def
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
4721
remove
nil
cons
5163
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4719
remove
nil
cons
cons
5164
def
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
4718
remove
nil
cons
5165
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
4716
remove
nil
cons
cons
5166
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
4814
remove
4775
remove
383
ref
appTerm
5167
def
betaConv
4777
remove
381
ref
appTerm
5168
def
betaConv
4779
remove
196
ref
appTerm
5169
def
betaConv
5151
remove
5145
ref
19
ref
appTerm
5170
def
betaConv
nil
5155
remove
68
ref
5170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
5145
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5144
remove
nil
cons
cons
68
ref
5150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5143
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4801
remove
cons
68
ref
5169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4804
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4806
remove
cons
68
ref
5168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4808
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
4810
remove
cons
68
ref
5167
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4812
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
5147
remove
cons
106
ref
5156
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
5156
remove
cons
68
ref
4729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5158
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5159
remove
cons
68
ref
4726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5160
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5161
remove
cons
68
ref
4723
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5162
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5163
remove
cons
68
ref
4720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5164
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5165
remove
cons
68
ref
4717
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5166
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
1397
remove
cons
106
ref
4696
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
4642
ref
nil
cons
cons
5171
def
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
4644
ref
nil
cons
cons
5172
def
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
4683
remove
cons
106
ref
4646
ref
cons
nil
cons
5173
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
4680
remove
cons
5173
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4676
ref
1710
ref
appTerm
appTerm
4645
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4677
remove
appTerm
4645
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4676
remove
nil
cons
cons
5173
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4674
remove
cons
5173
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4670
ref
1710
ref
appTerm
appTerm
4645
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4671
remove
appTerm
4645
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4670
remove
nil
cons
cons
5173
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
4668
remove
cons
5173
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4665
ref
1710
ref
appTerm
appTerm
4645
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
947
ref
4665
ref
appTerm
appTerm
5174
def
4645
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4665
ref
nil
cons
cons
5175
def
5173
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1649
ref
5173
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
5176
def
nil
67
ref
884
ref
4645
ref
appTerm
5177
def
nil
cons
5178
def
cons
5179
def
68
ref
1894
ref
4622
ref
appTerm
2948
ref
appTerm
5180
def
nil
cons
5181
def
cons
nil
cons
5182
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
1443
ref
4659
remove
appThm
nil
50
ref
4646
remove
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5180
ref
refl
appThm
sym
nil
5
ref
378
ref
69
ref
4685
ref
appTerm
5183
def
5180
ref
appTerm
5184
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5184
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4685
ref
nil
cons
5185
def
cons
5186
def
5182
ref
cons
nil
cons
cons
5187
def
85
ref
subst
5187
remove
138
ref
subst
4686
remove
4685
remove
assume
eqMp
5188
def
nil
67
ref
4643
ref
nil
cons
cons
5189
def
5182
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
4687
ref
appTerm
5190
def
5180
ref
appTerm
5191
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5191
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
4687
ref
nil
cons
5192
def
cons
5193
def
5182
ref
cons
nil
cons
cons
5194
def
85
ref
subst
5194
remove
138
ref
subst
4688
remove
4687
remove
assume
eqMp
5195
def
nil
67
ref
4641
remove
nil
cons
5196
def
cons
5197
def
5182
remove
cons
nil
cons
cons
5198
def
129
ref
subst
proveHyp
5198
ref
85
ref
subst
5198
remove
138
ref
subst
nil
104
ref
4640
ref
nil
cons
cons
3858
remove
nil
cons
cons
nil
cons
cons
5199
def
120
ref
subst
1904
ref
4621
remove
refl
5200
def
4640
remove
assume
appThm
nil
1634
remove
nil
cons
nil
cons
cons
379
ref
10
ref
1041
remove
"_29962"
329
ref
var
5201
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
10
ref
5201
remove
varTerm
385
ref
appTerm
appTerm
4620
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5202
def
appTerm
5203
def
385
ref
appTerm
appTerm
4620
ref
appTerm
absTerm
5204
def
383
ref
appTerm
5205
def
betaConv
378
ref
65
ref
5204
ref
appTerm
5206
def
absTerm
5207
def
381
ref
appTerm
5208
def
betaConv
190
ref
65
ref
5207
ref
appTerm
5209
def
absTerm
5210
def
196
ref
appTerm
5211
def
betaConv
5202
ref
5203
remove
appTerm
5212
def
betaConv
5202
ref
"_29960"
328
ref
var
5213
def
401
ref
390
ref
3897
ref
392
ref
2823
ref
1059
ref
1057
ref
5213
remove
varTerm
appTerm
5214
def
appTerm
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
3906
ref
392
ref
1052
ref
5214
remove
appTerm
appTerm
19
ref
appTerm
appTerm
appTerm
appTerm
2948
ref
appTerm
absTerm
5215
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
10
ref
5215
ref
385
ref
appTerm
5216
def
appTerm
4620
ref
appTerm
5217
def
absTerm
5218
def
appTerm
5219
def
absTerm
5220
def
appTerm
5221
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
5221
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5220
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5219
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5218
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5217
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
5216
remove
betaConv
10
ref
"_29956"
1
ref
var
5222
def
401
ref
390
ref
3897
ref
392
ref
2823
ref
5222
ref
varTerm
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
5223
def
4617
ref
appTerm
appTerm
2948
ref
appTerm
absTerm
383
ref
appTerm
5224
def
appTerm
refl
5222
ref
401
ref
5223
ref
3906
ref
392
ref
1078
ref
appTerm
5225
def
19
ref
appTerm
appTerm
5226
def
appTerm
appTerm
2948
ref
appTerm
absTerm
5227
def
1082
ref
appTerm
betaConv
appThm
338
ref
5224
remove
betaConv
appThm
401
ref
390
ref
3897
ref
392
ref
2823
ref
1082
ref
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
5226
ref
appTerm
appTerm
2948
ref
appTerm
5228
def
refl
appThm
trans
7
ref
0
ref
13
ref
0
ref
13
ref
3
ref
cons
opType
nil
cons
cons
opType
constTerm
5229
def
"_29955"
1
ref
var
5230
def
5222
remove
401
ref
5223
remove
3906
ref
392
ref
5230
remove
varTerm
appTerm
19
ref
appTerm
appTerm
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
5231
def
381
ref
appTerm
5232
def
appTerm
refl
5231
ref
1078
ref
appTerm
betaConv
appThm
5229
remove
refl
5232
remove
betaConv
appThm
5227
remove
refl
appThm
trans
5231
remove
refl
1376
ref
appThm
eqMp
1381
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
1040
remove
cons
nil
cons
5233
def
"P"
1039
ref
var
5202
ref
nil
cons
5234
def
cons
"x"
329
remove
var
5215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
946
ref
0
ref
1039
ref
3
ref
cons
opType
constTerm
5202
remove
appTerm
nil
cons
cons
68
ref
5212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p"
1039
remove
var
5234
remove
cons
nil
cons
nil
cons
cons
5233
remove
24
ref
cons
1343
ref
subst
subst
eqMp
eqMp
nil
67
ref
65
ref
5210
ref
appTerm
nil
cons
cons
68
ref
5211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5210
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5209
remove
nil
cons
cons
68
ref
5208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5207
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5206
remove
nil
cons
cons
68
ref
5205
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5204
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5235
def
subst
trans
appThm
4638
remove
appThm
sym
447
ref
1592
ref
4293
remove
subst
2212
ref
1441
ref
appThm
488
remove
appThm
900
ref
2218
ref
subst
trans
trans
appThm
490
ref
trans
sym
55
ref
eqMp
5236
def
nil
67
ref
418
ref
10
ref
2948
ref
appTerm
17
ref
appTerm
appTerm
5237
def
nil
cons
cons
5238
def
68
ref
1894
ref
4620
ref
appTerm
2948
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
436
ref
2989
ref
cons
5239
def
1419
ref
4618
ref
nil
cons
5240
def
cons
nil
cons
cons
nil
cons
cons
1923
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
104
ref
5196
remove
cons
5241
def
106
ref
5181
remove
cons
nil
cons
5242
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
5192
remove
cons
5243
def
5242
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
4642
ref
4139
ref
appTerm
appTerm
5180
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4643
remove
appTerm
5244
def
5180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5171
ref
5242
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
5185
remove
cons
5245
def
5242
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
4644
ref
4139
ref
appTerm
appTerm
5180
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4645
remove
appTerm
5246
def
5180
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5172
ref
5242
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
4605
ref
cons
5247
def
106
ref
4607
ref
cons
nil
cons
5248
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
583
ref
106
ref
4601
ref
cons
nil
cons
5249
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
ref
4602
ref
cons
nil
cons
cons
5250
def
85
ref
subst
5250
remove
138
ref
subst
151
ref
4581
ref
refl
5251
def
4582
remove
refl
597
ref
appThm
nil
4011
ref
nil
cons
cons
5252
def
1419
ref
418
ref
1926
ref
17
ref
appTerm
5253
def
appTerm
5254
def
absTerm
5255
def
1420
ref
appTerm
5256
def
betaConv
nil
65
ref
5255
ref
appTerm
5257
def
axiom
nil
67
ref
5257
remove
nil
cons
cons
68
ref
5256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5255
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5254
remove
nil
cons
cons
68
ref
28
ref
5253
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
5253
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
5258
def
subst
trans
5259
def
appThm
nil
50
ref
4580
remove
nil
cons
5260
def
cons
nil
cons
nil
cons
cons
50
ref
28
ref
307
remove
448
ref
appTerm
appTerm
448
ref
appTerm
absTerm
5261
def
52
ref
appTerm
5262
def
betaConv
nil
165
ref
5261
ref
appTerm
5263
def
axiom
nil
67
ref
5263
remove
nil
cons
cons
68
ref
5262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5261
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5264
def
subst
5265
def
trans
appThm
1904
ref
4588
ref
refl
597
ref
appThm
25
ref
139
remove
subst
5266
def
appThm
1404
ref
refl
5267
def
appThm
5268
def
appThm
2963
ref
597
ref
appThm
appThm
appThm
nil
50
ref
1894
ref
4588
remove
17
ref
appTerm
1710
ref
appTerm
1404
ref
appTerm
5269
def
appTerm
2958
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3855
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
450
ref
5249
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
ref
nil
450
ref
611
ref
612
ref
4601
ref
cons
nil
cons
5270
def
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1649
ref
5249
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2862
ref
4602
remove
cons
nil
cons
cons
5271
def
85
ref
subst
5271
remove
138
ref
subst
151
ref
58
ref
4579
remove
refl
2865
ref
appThm
nil
3980
ref
nil
cons
cons
5272
def
5258
remove
subst
trans
appThm
5273
def
4583
ref
refl
appThm
nil
50
ref
4583
ref
nil
cons
5274
def
cons
nil
cons
nil
cons
cons
5275
def
2519
ref
subst
trans
appThm
1904
ref
4587
ref
refl
2865
ref
appThm
417
ref
appThm
5266
ref
appThm
5267
ref
appThm
5276
def
appThm
4264
remove
417
ref
appThm
appThm
appThm
nil
50
ref
1894
ref
4587
remove
17
ref
appTerm
200
ref
appTerm
1710
ref
appTerm
1404
ref
appTerm
5277
def
appTerm
1466
remove
200
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3855
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
1439
ref
5249
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2873
ref
nil
1439
ref
2874
ref
5270
remove
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
5278
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
4600
remove
appTerm
thm
4103
remove
nil
4104
remove
thm
nil
5
ref
6
ref
65
ref
192
ref
69
ref
3240
remove
appTerm
2895
ref
appTerm
5279
def
absTerm
5280
def
appTerm
5281
def
absTerm
5282
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5281
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5280
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5279
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3248
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
5282
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
216
ref
347
remove
0
ref
2
ref
4585
ref
cons
opType
constTerm
5283
def
882
ref
appTerm
200
ref
appTerm
5283
ref
2749
ref
appTerm
2752
ref
appTerm
634
ref
appTerm
5284
def
appTerm
5285
def
appTerm
5286
def
absTerm
5287
def
appTerm
5288
def
absTerm
5289
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5288
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5287
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5286
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
108
ref
"_29510"
1
ref
var
5290
def
216
ref
5290
remove
varTerm
appTerm
absTerm
5291
def
5285
remove
appTerm
betaConv
appThm
58
ref
69
ref
882
remove
appTerm
5292
def
refl
5291
ref
200
ref
appTerm
betaConv
appThm
appThm
3723
remove
5291
ref
5284
ref
appTerm
betaConv
5293
def
appThm
appThm
appThm
nil
"_485"
1
ref
var
5294
def
5284
ref
nil
cons
cons
"_482"
1
ref
var
5295
def
237
ref
cons
776
ref
1438
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
4
remove
var
5296
def
5291
remove
nil
cons
cons
nil
cons
nil
cons
cons
25
ref
804
remove
subst
5297
def
subst
5298
def
subst
eqMp
sym
nil
2862
ref
68
ref
216
ref
200
ref
appTerm
5299
def
nil
cons
5300
def
cons
nil
cons
cons
nil
cons
cons
5301
def
85
ref
subst
5301
remove
138
ref
subst
2870
remove
eqMp
nil
1439
ref
106
ref
5300
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
5292
remove
5299
remove
appTerm
nil
cons
cons
68
ref
884
ref
216
ref
5284
remove
appTerm
5302
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
1410
ref
68
ref
5302
remove
nil
cons
5303
def
cons
nil
cons
cons
nil
cons
cons
5304
def
85
ref
subst
5304
remove
138
ref
subst
108
ref
5293
remove
appThm
58
ref
2750
ref
refl
"_29516"
1
ref
var
5305
def
216
ref
5305
remove
varTerm
appTerm
absTerm
5306
def
2752
ref
appTerm
betaConv
appThm
appThm
69
ref
418
ref
2749
ref
appTerm
5307
def
appTerm
5308
def
refl
5306
remove
634
remove
appTerm
betaConv
appThm
appThm
appThm
nil
5294
ref
660
remove
cons
5295
ref
2752
ref
nil
cons
5309
def
cons
776
ref
2758
remove
cons
nil
cons
cons
cons
nil
cons
cons
5298
remove
subst
eqMp
sym
nil
2759
remove
68
ref
216
ref
2752
remove
appTerm
5310
def
nil
cons
5311
def
cons
nil
cons
5312
def
cons
nil
cons
cons
5313
def
85
ref
subst
5313
remove
138
ref
subst
2818
remove
nil
67
ref
2760
remove
cons
5312
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
5309
remove
cons
847
ref
257
remove
cons
nil
cons
cons
nil
cons
cons
870
ref
subst
eqMp
eqMp
nil
2819
remove
106
ref
5311
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
2750
remove
5310
remove
appTerm
nil
cons
cons
68
ref
5308
remove
657
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
5307
remove
nil
cons
5314
def
cons
659
remove
cons
nil
cons
cons
5315
def
85
ref
subst
5315
remove
138
ref
subst
661
ref
eqMp
nil
104
ref
5314
remove
cons
106
ref
658
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1649
ref
106
ref
5303
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
5289
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
57
ref
3500
ref
appTerm
57
ref
289
remove
appTerm
158
remove
appTerm
5316
def
appTerm
5317
def
appTerm
59
ref
3414
remove
appTerm
5318
def
19
ref
appTerm
5319
def
appTerm
5320
def
absTerm
5321
def
appTerm
5322
def
absTerm
5323
def
appTerm
5324
def
absTerm
5325
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5324
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5323
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5322
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5321
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
5320
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5317
remove
nil
cons
5326
def
cons
68
ref
5319
ref
nil
cons
5327
def
cons
nil
cons
5328
def
cons
nil
cons
cons
5329
def
85
ref
subst
5329
remove
138
ref
subst
nil
104
ref
3527
remove
cons
106
ref
5316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
5330
def
120
ref
subst
5330
remove
224
ref
subst
nil
2148
remove
692
remove
cons
nil
cons
cons
5331
def
120
ref
subst
5331
remove
224
ref
subst
976
ref
150
ref
338
ref
4561
remove
appThm
821
ref
appThm
absThm
appThm
632
ref
3152
remove
subst
844
remove
eqMp
eqMp
nil
67
ref
947
ref
150
ref
4379
remove
19
ref
appTerm
absTerm
5332
def
appTerm
5333
def
nil
cons
cons
5328
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
1455
ref
69
ref
5332
ref
1456
ref
appTerm
5334
def
appTerm
5319
ref
appTerm
5335
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1455
remove
nil
50
ref
5335
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5334
ref
nil
cons
5336
def
cons
5328
ref
cons
nil
cons
cons
5337
def
85
ref
subst
5337
remove
138
ref
subst
5334
ref
betaConv
5334
remove
assume
eqMp
nil
67
ref
10
ref
3205
ref
1456
ref
appTerm
5338
def
appTerm
19
ref
appTerm
5339
def
nil
cons
5340
def
cons
5328
remove
cons
nil
cons
cons
5341
def
129
ref
subst
proveHyp
5341
ref
85
ref
subst
5341
remove
138
ref
subst
28
ref
"_29562"
1
ref
var
5342
def
5318
ref
5342
remove
varTerm
appTerm
absTerm
5343
def
19
ref
appTerm
5344
def
appTerm
refl
5343
ref
5338
ref
appTerm
betaConv
appThm
108
ref
5344
remove
betaConv
appThm
5318
remove
5338
ref
appTerm
refl
appThm
trans
5343
remove
refl
5339
remove
assume
sym
5345
def
appThm
eqMp
sym
nil
150
ref
1491
remove
cons
5346
def
2096
remove
cons
nil
cons
cons
3098
remove
subst
sym
nil
421
ref
68
ref
2205
remove
157
ref
1456
ref
appTerm
5347
def
appTerm
nil
cons
5348
def
cons
nil
cons
5349
def
cons
nil
cons
cons
5350
def
85
ref
subst
5350
remove
138
ref
subst
2213
remove
5347
ref
refl
5351
def
appThm
nil
50
ref
5347
remove
nil
cons
5352
def
cons
nil
cons
nil
cons
cons
5353
def
2218
ref
subst
trans
sym
28
ref
"_29566"
1
ref
var
5354
def
157
ref
5354
remove
varTerm
appTerm
absTerm
5355
def
19
ref
appTerm
5356
def
appTerm
refl
5355
ref
5338
ref
appTerm
betaConv
appThm
108
ref
5356
remove
betaConv
appThm
157
remove
5338
ref
appTerm
5357
def
refl
appThm
trans
5355
remove
refl
5345
remove
appThm
eqMp
652
remove
eqMp
nil
67
ref
5357
remove
nil
cons
cons
68
ref
5352
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
192
ref
5338
ref
nil
cons
cons
154
ref
cons
nil
cons
cons
192
ref
885
ref
822
remove
appTerm
5358
def
absTerm
5359
def
200
ref
appTerm
5360
def
betaConv
6
ref
65
ref
5359
ref
appTerm
5361
def
absTerm
5362
def
19
ref
appTerm
5363
def
betaConv
149
ref
6
ref
149
ref
192
ref
5358
remove
assume
sym
823
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
841
remove
eqMp
nil
67
ref
65
ref
5362
ref
appTerm
nil
cons
cons
68
ref
5363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5362
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5361
remove
nil
cons
cons
68
ref
5360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5359
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5364
def
subst
appThm
nil
4501
remove
154
ref
cons
nil
cons
cons
5364
remove
subst
appThm
sym
nil
67
ref
10
ref
729
ref
5338
remove
appTerm
5365
def
appTerm
5366
def
152
ref
appTerm
5367
def
nil
cons
5368
def
cons
68
ref
10
ref
729
remove
1456
remove
appTerm
5369
def
appTerm
5370
def
152
ref
appTerm
nil
cons
5371
def
cons
nil
cons
cons
nil
cons
cons
5372
def
85
ref
subst
5372
remove
138
ref
subst
5370
ref
refl
5367
remove
assume
sym
appThm
sym
3522
remove
3500
remove
assume
eqMp
nil
67
ref
1651
remove
359
ref
appTerm
nil
cons
cons
68
ref
5366
remove
5369
ref
appTerm
nil
cons
5373
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5346
remove
154
ref
cons
nil
cons
cons
4457
remove
subst
eqMp
nil
67
ref
5373
remove
cons
68
ref
5370
remove
5365
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
5365
remove
nil
cons
cons
847
ref
5369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
870
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
5368
remove
cons
106
ref
5371
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
583
ref
106
ref
5348
ref
cons
nil
cons
5374
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
ref
5349
remove
cons
nil
cons
cons
5375
def
85
ref
subst
5375
remove
138
ref
subst
2212
ref
338
ref
597
ref
appThm
921
ref
appThm
2311
remove
trans
appThm
5351
remove
appThm
5353
remove
2512
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
450
ref
5374
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
ref
nil
450
ref
611
ref
612
ref
5348
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
104
ref
5340
remove
cons
106
ref
5327
remove
cons
nil
cons
5376
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
5336
remove
cons
5376
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
5332
ref
1710
ref
appTerm
appTerm
5319
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
5333
remove
appTerm
5319
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5332
remove
nil
cons
cons
5376
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
5326
remove
cons
5376
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
5325
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
69
ref
57
ref
2193
ref
appTerm
2895
ref
appTerm
5377
def
appTerm
947
ref
378
ref
10
ref
401
ref
2897
ref
appTerm
200
ref
appTerm
appTerm
359
ref
appTerm
absTerm
5378
def
appTerm
5379
def
appTerm
5380
def
absTerm
5381
def
appTerm
5382
def
absTerm
5383
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5382
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5381
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5380
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5377
remove
nil
cons
5384
def
cons
68
ref
5379
ref
nil
cons
5385
def
cons
nil
cons
5386
def
cons
nil
cons
cons
5387
def
85
ref
subst
5387
remove
138
ref
subst
nil
104
ref
2194
ref
cons
3247
ref
cons
nil
cons
cons
5388
def
120
ref
subst
5388
remove
224
ref
subst
5176
ref
nil
5179
ref
5386
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
1440
remove
4920
ref
subst
nil
2862
ref
457
ref
cons
nil
cons
cons
5389
def
85
ref
subst
5389
remove
138
ref
subst
4263
ref
2938
ref
eqMp
nil
3449
remove
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
4265
ref
898
ref
subst
447
ref
338
ref
2869
remove
appThm
662
ref
appThm
appThm
trans
sym
nil
2694
ref
nil
cons
nil
cons
cons
4920
remove
subst
nil
2660
ref
457
ref
cons
nil
cons
cons
5390
def
85
ref
subst
5390
remove
138
ref
subst
28
ref
"_29940"
1
ref
var
5391
def
2192
ref
5391
remove
varTerm
appTerm
absTerm
5392
def
200
ref
appTerm
5393
def
appTerm
refl
5392
ref
359
ref
appTerm
betaConv
appThm
108
ref
5393
remove
betaConv
5394
def
appThm
2192
ref
359
ref
appTerm
5395
def
refl
appThm
trans
5392
remove
refl
5396
def
2673
ref
appThm
eqMp
2193
ref
assume
5397
def
eqMp
nil
67
ref
5395
remove
nil
cons
5398
def
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
50
ref
5398
remove
cons
nil
cons
nil
cons
cons
898
ref
subst
447
ref
2674
ref
436
ref
418
ref
1913
ref
437
ref
appTerm
5399
def
appTerm
5400
def
absTerm
5401
def
437
ref
appTerm
5402
def
betaConv
nil
65
ref
5401
ref
appTerm
5403
def
axiom
nil
67
ref
5403
remove
nil
cons
cons
68
ref
5402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5401
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5400
remove
nil
cons
cons
68
ref
28
ref
5399
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
5399
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
subst
appThm
490
ref
trans
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
2694
ref
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1439
ref
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
1410
ref
68
ref
5246
remove
5379
ref
appTerm
5404
def
nil
cons
cons
nil
cons
5405
def
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
378
ref
5183
remove
5379
ref
appTerm
5406
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5406
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5186
remove
5386
ref
cons
nil
cons
cons
5407
def
85
ref
subst
5407
remove
138
ref
subst
5188
remove
nil
5189
remove
5386
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
5190
remove
5379
ref
appTerm
5408
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5408
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5193
remove
5386
ref
cons
nil
cons
cons
5409
def
85
ref
subst
5409
remove
138
ref
subst
5195
remove
nil
5197
remove
5386
remove
cons
nil
cons
cons
5410
def
129
ref
subst
proveHyp
5410
ref
85
ref
subst
5410
remove
138
ref
subst
5199
remove
224
ref
subst
5378
ref
381
ref
appTerm
betaConv
sym
28
ref
"_29942"
1
ref
var
5411
def
10
ref
401
ref
5411
remove
varTerm
appTerm
200
ref
appTerm
appTerm
359
ref
appTerm
absTerm
5412
def
2897
ref
appTerm
5413
def
appTerm
refl
5412
ref
3726
ref
appTerm
betaConv
appThm
108
ref
5413
remove
betaConv
appThm
10
ref
401
ref
3726
remove
appTerm
200
ref
appTerm
appTerm
359
ref
appTerm
refl
appThm
trans
5412
remove
refl
3777
remove
sym
appThm
eqMp
sym
338
ref
nil
3746
remove
3366
remove
cons
nil
cons
cons
1530
ref
10
ref
401
ref
1522
remove
1534
ref
appTerm
appTerm
437
ref
appTerm
appTerm
401
ref
1534
ref
appTerm
437
ref
appTerm
appTerm
absTerm
5414
def
1534
ref
appTerm
5415
def
betaConv
436
ref
65
ref
5414
ref
appTerm
5416
def
absTerm
5417
def
437
ref
appTerm
5418
def
betaConv
1419
ref
65
ref
5417
ref
appTerm
5419
def
absTerm
5420
def
1420
ref
appTerm
5421
def
betaConv
nil
65
ref
5420
ref
appTerm
5422
def
axiom
nil
67
ref
5422
remove
nil
cons
cons
68
ref
5421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5420
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5419
remove
nil
cons
cons
68
ref
5418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5417
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5416
remove
nil
cons
cons
68
ref
5415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5414
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
401
ref
refl
5423
def
2938
ref
appThm
417
ref
appThm
trans
appThm
662
ref
appThm
sym
2297
remove
eqMp
eqMp
eqMp
23
ref
5
ref
5378
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
proveHyp
eqMp
nil
5241
remove
106
ref
5385
ref
cons
nil
cons
5424
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
5243
remove
5424
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4642
remove
1710
ref
appTerm
appTerm
5379
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
5244
remove
5379
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5171
remove
5424
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
5245
remove
5424
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
4644
remove
1710
ref
appTerm
appTerm
5379
ref
appTerm
absTerm
appTerm
nil
cons
cons
5405
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5172
remove
5424
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
nil
67
ref
4711
ref
5404
remove
appTerm
nil
cons
cons
68
ref
69
ref
5177
ref
appTerm
5379
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
5385
remove
cons
4647
remove
1410
ref
nil
cons
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
5384
remove
cons
5424
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
5383
remove
appTerm
thm
4545
remove
nil
65
ref
4544
remove
appTerm
thm
4546
remove
nil
4547
remove
thm
nil
5
ref
6
ref
3636
remove
absTerm
5425
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
3637
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
4388
remove
eqMp
absThm
eqMp
5426
def
nil
65
ref
5425
remove
appTerm
thm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
4538
remove
appThm
4537
remove
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
5426
remove
eqMp
nil
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
4527
remove
appTerm
4526
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
5
ref
"ap"
1
ref
var
5427
def
65
ref
192
ref
6
ref
374
ref
0
ref
966
ref
342
ref
cons
opType
constTerm
5428
def
"f"
341
ref
var
5429
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
5429
ref
varTerm
385
ref
appTerm
appTerm
5430
def
1894
ref
383
ref
appTerm
5431
def
19
ref
appTerm
5432
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
345
ref
appTerm
absTerm
5433
def
390
ref
5427
ref
varTerm
5434
def
appTerm
359
ref
appTerm
5435
def
appTerm
5436
def
absTerm
5437
def
appTerm
5438
def
absTerm
5439
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
ref
nil
50
ref
5438
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5437
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5436
remove
nil
cons
5440
def
cons
nil
cons
nil
cons
cons
56
ref
subst
192
ref
69
ref
418
ref
10
ref
5435
ref
appTerm
17
ref
appTerm
5441
def
appTerm
5442
def
appTerm
947
ref
378
ref
947
ref
379
ref
57
ref
343
ref
334
ref
5435
ref
appTerm
200
ref
appTerm
appTerm
355
ref
16
ref
5435
ref
appTerm
5443
def
200
ref
appTerm
5444
def
appTerm
384
ref
appTerm
appTerm
appTerm
10
ref
3717
ref
5444
remove
appTerm
appTerm
2879
ref
5435
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
5445
def
absTerm
5446
def
200
ref
appTerm
5447
def
betaConv
6
ref
65
ref
192
ref
5177
remove
absTerm
5448
def
appTerm
5449
def
absTerm
5450
def
5435
ref
appTerm
5451
def
betaConv
nil
5
ref
5450
ref
nil
cons
cons
5452
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5449
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5448
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5178
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
5176
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
5453
def
nil
67
ref
65
ref
5450
remove
appTerm
5454
def
nil
cons
cons
68
ref
5451
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5452
remove
130
ref
5435
ref
nil
cons
5455
def
cons
nil
cons
5456
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5446
ref
appTerm
nil
cons
cons
68
ref
5447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5446
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5457
def
nil
67
ref
5445
remove
nil
cons
cons
5458
def
68
ref
5440
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
447
ref
338
ref
nil
1419
ref
5434
ref
nil
cons
5459
def
cons
nil
cons
nil
cons
cons
1419
ref
10
ref
4879
remove
appTerm
1493
remove
appTerm
5460
def
absTerm
5461
def
1420
ref
appTerm
5462
def
betaConv
149
ref
1419
ref
5460
remove
assume
sym
4880
remove
assume
sym
deductAntisym
absThm
appThm
4884
remove
eqMp
nil
67
ref
65
ref
5461
ref
appTerm
nil
cons
cons
68
ref
5462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5461
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5463
def
subst
5464
def
appThm
921
ref
appThm
nil
436
ref
5459
remove
cons
nil
cons
nil
cons
cons
436
ref
418
ref
2229
remove
17
ref
appTerm
5465
def
appTerm
5466
def
absTerm
5467
def
437
ref
appTerm
5468
def
betaConv
nil
65
ref
5467
ref
appTerm
5469
def
axiom
nil
67
ref
5469
remove
nil
cons
cons
68
ref
5468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5467
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5466
remove
nil
cons
cons
68
ref
28
ref
5465
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
5465
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
subst
5470
def
trans
5471
def
appThm
490
ref
trans
5472
def
appThm
976
ref
378
ref
976
ref
379
ref
58
ref
707
ref
935
remove
5464
ref
appThm
417
ref
appThm
appThm
355
ref
refl
5473
def
2864
remove
5464
ref
appThm
417
ref
appThm
5474
def
appThm
384
ref
refl
5475
def
appThm
appThm
appThm
338
ref
3724
remove
5474
remove
appThm
appThm
4230
remove
5464
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
57
ref
343
ref
334
ref
1482
ref
5434
remove
appTerm
5476
def
appTerm
200
ref
appTerm
appTerm
5477
def
355
ref
16
ref
5476
ref
appTerm
200
ref
appTerm
5478
def
appTerm
384
ref
appTerm
5479
def
appTerm
5480
def
appTerm
10
ref
3717
remove
5478
ref
appTerm
appTerm
2879
remove
5476
ref
appTerm
5481
def
appTerm
5482
def
appTerm
5483
def
absTerm
5484
def
appTerm
5485
def
absTerm
5486
def
appTerm
5487
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5488
def
5433
ref
refl
5464
ref
appThm
appThm
sym
nil
5
ref
378
ref
69
ref
5486
ref
381
ref
appTerm
5489
def
appTerm
5490
def
5433
remove
5476
ref
appTerm
5491
def
appTerm
5492
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5492
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5489
ref
nil
cons
5493
def
cons
5494
def
68
ref
5491
ref
nil
cons
5495
def
cons
nil
cons
5496
def
cons
nil
cons
cons
5497
def
85
ref
subst
5497
remove
138
ref
subst
5489
ref
betaConv
5489
remove
assume
eqMp
5498
def
nil
67
ref
5485
ref
nil
cons
cons
5499
def
5496
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
5484
ref
383
ref
appTerm
5500
def
appTerm
5501
def
5491
ref
appTerm
5502
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5502
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5500
ref
nil
cons
5503
def
cons
5504
def
5496
ref
cons
nil
cons
cons
5505
def
85
ref
subst
5505
remove
138
ref
subst
5500
ref
betaConv
5500
remove
assume
eqMp
5506
def
nil
67
ref
5483
remove
nil
cons
5507
def
cons
5508
def
5496
remove
cons
nil
cons
cons
5509
def
129
ref
subst
proveHyp
5509
ref
85
ref
subst
5509
remove
138
ref
subst
nil
104
ref
5480
ref
nil
cons
cons
106
ref
5482
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5510
def
120
ref
subst
5511
def
5491
ref
betaConv
5428
ref
refl
5512
def
"_30098"
341
ref
var
5513
def
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
nil
2801
ref
5431
ref
5476
ref
appTerm
5514
def
nil
cons
5515
def
cons
2802
ref
5513
ref
varTerm
385
ref
appTerm
5516
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1162
ref
509
remove
refl
566
remove
refl
appThm
"b"
30
ref
var
varTerm
refl
appThm
subst
5517
def
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
5480
ref
assume
5518
def
appThm
nil
190
ref
5478
ref
nil
cons
5519
def
cons
nil
cons
nil
cons
cons
5520
def
379
ref
28
ref
5428
ref
5513
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
5516
remove
appTerm
5514
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5521
def
appTerm
5522
def
385
ref
appTerm
appTerm
5514
ref
appTerm
absTerm
5523
def
383
ref
appTerm
5524
def
betaConv
378
ref
65
ref
5523
ref
appTerm
5525
def
absTerm
5526
def
381
ref
appTerm
5527
def
betaConv
190
ref
65
ref
5526
ref
appTerm
5528
def
absTerm
5529
def
196
ref
appTerm
5530
def
betaConv
5521
ref
5522
remove
appTerm
5531
def
betaConv
5521
ref
"_30096"
328
ref
var
5532
def
1894
ref
1059
ref
1057
ref
5532
remove
varTerm
appTerm
appTerm
appTerm
5476
ref
appTerm
absTerm
5533
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
5533
ref
385
ref
appTerm
5534
def
appTerm
5514
ref
appTerm
5535
def
absTerm
5536
def
appTerm
5537
def
absTerm
5538
def
appTerm
5539
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
5539
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5538
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5537
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5536
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5535
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
5534
remove
betaConv
28
ref
"_30092"
1
ref
var
5540
def
1894
ref
5540
remove
varTerm
appTerm
5476
ref
appTerm
absTerm
5541
def
383
ref
appTerm
5542
def
appTerm
refl
5541
ref
1082
ref
appTerm
betaConv
appThm
108
ref
5542
remove
betaConv
appThm
1894
ref
1082
ref
appTerm
5476
ref
appTerm
refl
appThm
trans
5541
remove
refl
1381
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
342
remove
cons
nil
cons
5543
def
"P"
966
ref
var
5544
def
5521
ref
nil
cons
5545
def
cons
"x"
341
ref
var
5546
def
5533
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
946
ref
0
ref
966
ref
3
ref
cons
opType
constTerm
5547
def
5521
remove
appTerm
nil
cons
cons
68
ref
5531
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p"
966
remove
var
5548
def
5545
remove
cons
nil
cons
nil
cons
cons
5543
ref
24
ref
cons
1343
ref
subst
5549
def
subst
eqMp
eqMp
nil
67
ref
65
ref
5529
ref
appTerm
nil
cons
cons
68
ref
5530
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5529
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5528
remove
nil
cons
cons
68
ref
5527
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5526
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5525
remove
nil
cons
cons
68
ref
5524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5523
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
trans
sym
379
ref
69
ref
57
ref
418
ref
10
ref
5476
ref
appTerm
17
ref
appTerm
appTerm
appTerm
5550
def
5480
remove
appTerm
appTerm
57
ref
1894
ref
381
ref
appTerm
5551
def
"Number.Natural.max"
const
15
ref
constTerm
5552
def
200
ref
appTerm
2233
ref
359
ref
appTerm
5553
def
appTerm
5554
def
appTerm
5555
def
appTerm
5556
def
5514
ref
appTerm
5557
def
appTerm
5558
def
absTerm
5559
def
383
ref
appTerm
5560
def
betaConv
378
ref
65
ref
5559
ref
appTerm
5561
def
absTerm
5562
def
381
ref
appTerm
5563
def
betaConv
190
ref
65
ref
378
ref
65
ref
379
ref
69
ref
5550
remove
5477
remove
385
ref
appTerm
appTerm
appTerm
5557
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5564
def
5478
remove
appTerm
5565
def
betaConv
192
ref
65
ref
5564
ref
appTerm
5566
def
absTerm
5567
def
200
ref
appTerm
5568
def
betaConv
6
ref
65
ref
192
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
4714
remove
5556
ref
5432
ref
appTerm
5569
def
appTerm
5570
def
absTerm
5571
def
appTerm
5572
def
absTerm
5573
def
appTerm
5574
def
absTerm
5575
def
appTerm
5576
def
absTerm
5577
def
appTerm
5578
def
absTerm
5579
def
5476
ref
appTerm
5580
def
betaConv
nil
5
ref
6
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
4730
remove
57
ref
5551
ref
5552
ref
17
ref
appTerm
5553
ref
appTerm
5581
def
appTerm
appTerm
5582
def
5432
ref
appTerm
5583
def
appTerm
5584
def
absTerm
5585
def
appTerm
5586
def
absTerm
5587
def
appTerm
5588
def
absTerm
5589
def
appTerm
5590
def
absTerm
5591
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5590
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5589
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
5588
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5587
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
5586
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5585
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
5584
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
4744
remove
5583
ref
refl
appThm
sym
nil
4754
remove
68
ref
5583
remove
nil
cons
5592
def
cons
nil
cons
cons
nil
cons
cons
5593
def
85
ref
subst
5593
remove
138
ref
subst
4757
remove
120
ref
subst
4758
remove
4760
remove
4763
remove
4762
remove
224
ref
subst
28
ref
"_29794"
1
ref
var
5594
def
5582
ref
1894
ref
5594
remove
varTerm
appTerm
19
ref
appTerm
appTerm
absTerm
5595
def
383
ref
appTerm
5596
def
appTerm
refl
5595
ref
17
ref
appTerm
betaConv
appThm
108
ref
5596
remove
betaConv
appThm
5582
remove
2263
remove
19
ref
appTerm
5597
def
appTerm
refl
appThm
trans
5595
remove
refl
4750
remove
assume
sym
appThm
eqMp
sym
28
ref
"_29802"
1
ref
var
5598
def
57
ref
1894
ref
5598
remove
varTerm
appTerm
5581
ref
appTerm
appTerm
5597
ref
appTerm
absTerm
5599
def
381
ref
appTerm
5600
def
appTerm
refl
5599
ref
359
ref
appTerm
betaConv
appThm
108
ref
5600
remove
betaConv
appThm
57
ref
2192
ref
5581
remove
appTerm
appTerm
5597
ref
appTerm
refl
appThm
trans
5599
remove
refl
4768
ref
appThm
eqMp
sym
58
ref
2192
ref
refl
nil
436
ref
5553
ref
nil
cons
5601
def
cons
5602
def
2256
remove
cons
nil
cons
cons
436
ref
10
ref
5552
ref
1420
ref
appTerm
437
ref
appTerm
appTerm
5603
def
5283
ref
2376
ref
appTerm
437
ref
appTerm
1420
ref
appTerm
appTerm
absTerm
5604
def
437
ref
appTerm
5605
def
betaConv
1419
ref
65
ref
5604
ref
appTerm
5606
def
absTerm
5607
def
1420
ref
appTerm
5608
def
betaConv
nil
65
ref
5607
ref
appTerm
5609
def
axiom
nil
67
ref
5609
remove
nil
cons
cons
68
ref
5608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5607
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5606
remove
nil
cons
cons
68
ref
5605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5604
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5610
def
subst
5283
ref
refl
5611
def
2674
remove
nil
1419
ref
2234
remove
nil
cons
cons
nil
cons
nil
cons
cons
2614
ref
subst
subst
5612
def
nil
1419
ref
5601
ref
cons
5613
def
2230
ref
1530
ref
5601
ref
cons
5614
def
nil
cons
5615
def
cons
cons
nil
cons
cons
28
ref
"_9286"
1
ref
var
5616
def
28
ref
2378
ref
5616
remove
varTerm
appTerm
appTerm
40
ref
appTerm
absTerm
5617
def
1534
ref
appTerm
5618
def
appTerm
refl
5617
ref
1505
ref
appTerm
betaConv
appThm
108
ref
5618
remove
betaConv
appThm
28
ref
2378
ref
1505
ref
appTerm
5619
def
appTerm
40
ref
appTerm
refl
appThm
trans
5617
remove
refl
1506
ref
1534
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
50
ref
5619
ref
nil
cons
5620
def
cons
nil
cons
nil
cons
cons
50
ref
28
ref
54
remove
appTerm
52
ref
appTerm
absTerm
5621
def
52
ref
appTerm
5622
def
betaConv
nil
165
ref
5621
ref
appTerm
5623
def
axiom
nil
67
ref
5623
remove
nil
cons
cons
68
ref
5622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5621
remove
nil
cons
cons
171
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5624
def
subst
sym
nil
67
ref
5620
ref
cons
5625
def
nil
cons
nil
cons
cons
5626
def
2444
ref
subst
sym
nil
67
ref
418
ref
5619
remove
appTerm
5627
def
nil
cons
5628
def
cons
5629
def
457
ref
cons
nil
cons
cons
5630
def
85
ref
subst
5630
remove
138
ref
subst
1602
remove
nil
1604
ref
457
ref
cons
nil
cons
cons
5631
def
129
ref
subst
proveHyp
1515
remove
nil
1517
ref
68
ref
69
ref
1601
ref
appTerm
448
ref
appTerm
5632
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5629
ref
68
ref
69
ref
1514
remove
appTerm
5633
def
5632
remove
appTerm
5634
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
1419
ref
69
ref
5627
ref
appTerm
5635
def
5634
remove
appTerm
absTerm
5636
def
1420
ref
appTerm
5637
def
betaConv
436
ref
65
ref
5636
ref
appTerm
5638
def
absTerm
5639
def
437
ref
appTerm
5640
def
betaConv
149
ref
436
ref
149
ref
1419
ref
5635
ref
refl
5633
ref
refl
nil
50
ref
1603
ref
cons
nil
cons
nil
cons
cons
898
ref
subst
5641
def
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
436
ref
65
ref
1419
ref
5635
remove
5633
remove
418
ref
1601
remove
appTerm
5642
def
appTerm
5643
def
appTerm
5644
def
absTerm
5645
def
appTerm
5646
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
5646
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5645
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
5644
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5629
remove
68
ref
5643
remove
nil
cons
5647
def
cons
nil
cons
cons
nil
cons
cons
5648
def
85
ref
subst
5648
remove
138
ref
subst
nil
1517
ref
68
ref
5642
remove
nil
cons
5649
def
cons
nil
cons
cons
nil
cons
cons
5650
def
85
ref
subst
5650
remove
138
ref
subst
5641
remove
5631
ref
85
ref
subst
5631
remove
138
ref
subst
437
ref
refl
5651
def
nil
67
ref
438
ref
437
ref
appTerm
5652
def
nil
cons
cons
68
ref
57
ref
10
ref
1507
ref
appTerm
1505
ref
appTerm
5653
def
appTerm
2378
ref
1507
ref
appTerm
5654
def
appTerm
5655
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
"_9289"
1
ref
var
5656
def
1519
ref
cons
"_9288"
1
ref
var
5657
def
1470
ref
cons
nil
cons
cons
nil
cons
cons
436
ref
10
ref
390
ref
5657
remove
varTerm
5658
def
appTerm
437
ref
appTerm
appTerm
1496
ref
5658
ref
appTerm
appTerm
absTerm
5659
def
5656
remove
varTerm
5660
def
appTerm
5661
def
betaConv
1512
ref
5658
ref
appTerm
5662
def
betaConv
nil
1517
ref
68
ref
5662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
1518
ref
130
ref
5658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5659
ref
appTerm
nil
cons
cons
68
ref
5661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5659
remove
nil
cons
cons
130
ref
5660
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
67
ref
5653
remove
nil
cons
cons
68
ref
5654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
"_9291"
1
ref
var
5663
def
1519
ref
cons
"_9290"
1
ref
var
5664
def
1470
ref
cons
nil
cons
cons
nil
cons
cons
436
ref
1593
ref
5664
remove
varTerm
5665
def
appTerm
390
ref
5665
ref
appTerm
437
ref
appTerm
appTerm
absTerm
5666
def
5663
remove
varTerm
5667
def
appTerm
5668
def
betaConv
1599
remove
5665
ref
appTerm
5669
def
betaConv
nil
1604
remove
68
ref
5669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
1605
remove
130
ref
5665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5666
ref
appTerm
nil
cons
cons
68
ref
5668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5666
remove
nil
cons
cons
130
ref
5667
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
67
ref
57
ref
5652
remove
appTerm
5655
remove
appTerm
nil
cons
cons
68
ref
5620
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_9295"
1
ref
var
5670
def
1505
ref
nil
cons
5671
def
cons
"_9293"
1
ref
var
5672
def
1507
ref
nil
cons
5673
def
cons
"_9294"
1
ref
var
5674
def
1470
ref
cons
"_9292"
1
ref
var
5675
def
1470
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
2801
ref
600
ref
418
ref
10
ref
5675
remove
varTerm
5676
def
appTerm
5674
remove
varTerm
5677
def
appTerm
5678
def
appTerm
5679
def
appTerm
5680
def
600
ref
418
ref
10
ref
5672
remove
varTerm
5681
def
appTerm
5670
remove
varTerm
5682
def
appTerm
5683
def
appTerm
5684
def
appTerm
5685
def
418
ref
1593
ref
5676
remove
appTerm
5681
remove
appTerm
5686
def
appTerm
5687
def
appTerm
5688
def
appTerm
nil
cons
cons
2802
ref
1593
ref
5677
remove
appTerm
5682
remove
appTerm
5689
def
nil
cons
5690
def
cons
nil
cons
cons
nil
cons
cons
nil
67
ref
2804
ref
448
ref
appTerm
5691
def
nil
cons
5692
def
cons
5693
def
68
ref
28
ref
600
ref
2803
ref
appTerm
2805
ref
appTerm
5694
def
appTerm
69
ref
418
ref
2805
ref
appTerm
5695
def
appTerm
5696
def
2803
ref
appTerm
appTerm
nil
cons
5697
def
cons
nil
cons
5698
def
cons
nil
cons
cons
5699
def
85
ref
subst
5699
remove
138
ref
subst
28
ref
"_606"
2
ref
var
5700
def
28
ref
600
ref
5700
remove
varTerm
5701
def
appTerm
2805
ref
appTerm
appTerm
5696
ref
5701
remove
appTerm
appTerm
absTerm
5702
def
2803
ref
appTerm
5703
def
appTerm
refl
5704
def
5702
ref
448
ref
appTerm
betaConv
appThm
108
ref
5703
remove
betaConv
appThm
5705
def
28
ref
2214
remove
2805
ref
appTerm
5706
def
appTerm
5696
ref
448
ref
appTerm
appTerm
refl
appThm
trans
5702
remove
refl
5707
def
5691
remove
assume
5708
def
appThm
eqMp
sym
108
ref
nil
50
ref
2816
remove
cons
nil
cons
nil
cons
cons
5709
def
2218
ref
subst
5710
def
appThm
nil
50
ref
5695
ref
nil
cons
5711
def
cons
nil
cons
nil
cons
cons
5712
def
898
ref
subst
5709
ref
2442
ref
subst
trans
appThm
nil
2817
remove
nil
cons
cons
2443
ref
subst
5713
def
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
5692
ref
cons
5714
def
106
ref
5697
ref
cons
nil
cons
5715
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
2804
remove
40
ref
appTerm
5716
def
nil
cons
5717
def
cons
5718
def
5698
remove
cons
nil
cons
cons
5719
def
85
ref
subst
5719
remove
138
ref
subst
5704
remove
"_604"
2
ref
var
5720
def
28
ref
600
ref
5720
remove
varTerm
5721
def
appTerm
2805
ref
appTerm
appTerm
5696
ref
5721
remove
appTerm
appTerm
absTerm
40
ref
appTerm
betaConv
appThm
5705
remove
28
ref
2505
remove
2805
ref
appTerm
5722
def
appTerm
5696
remove
40
ref
appTerm
appTerm
refl
appThm
trans
5707
remove
5716
remove
assume
5723
def
appThm
eqMp
sym
108
ref
5709
ref
2512
remove
subst
5724
def
appThm
5712
ref
1342
remove
subst
5725
def
appThm
181
remove
905
ref
subst
5726
def
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
5717
remove
cons
5727
def
5715
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2527
remove
2803
ref
appTerm
5728
def
betaConv
2530
remove
nil
2531
remove
68
ref
5728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
2532
remove
2815
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5729
def
nil
5727
ref
106
ref
5692
remove
cons
5730
def
612
ref
5697
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
subst
151
ref
nil
2801
ref
5688
remove
nil
cons
cons
2802
ref
5679
remove
nil
cons
5731
def
cons
nil
cons
cons
nil
cons
cons
nil
5693
ref
68
ref
28
ref
418
ref
5694
remove
appTerm
appTerm
57
ref
418
ref
2803
ref
appTerm
5732
def
appTerm
5695
ref
appTerm
appTerm
nil
cons
5733
def
cons
nil
cons
5734
def
cons
nil
cons
cons
5735
def
85
ref
subst
5735
remove
138
ref
subst
28
ref
"_610"
2
ref
var
5736
def
28
ref
418
ref
600
ref
5736
remove
varTerm
5737
def
appTerm
2805
ref
appTerm
appTerm
appTerm
57
ref
418
ref
5737
remove
appTerm
appTerm
5695
ref
appTerm
appTerm
absTerm
5738
def
2803
ref
appTerm
5739
def
appTerm
refl
5740
def
5738
ref
448
ref
appTerm
betaConv
appThm
108
ref
5739
remove
betaConv
appThm
5741
def
28
ref
418
ref
5706
remove
appTerm
appTerm
2488
remove
5695
ref
appTerm
appTerm
refl
appThm
trans
5738
remove
refl
5742
def
5708
ref
appThm
eqMp
sym
108
ref
447
ref
5710
ref
appThm
appThm
2491
remove
5695
ref
refl
5743
def
appThm
5712
ref
172
ref
subst
trans
appThm
nil
169
ref
5711
remove
cons
nil
cons
nil
cons
cons
2443
ref
subst
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5714
ref
106
ref
5733
ref
cons
nil
cons
5744
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
5718
ref
5734
remove
cons
nil
cons
cons
5745
def
85
ref
subst
5745
remove
138
ref
subst
5740
remove
"_608"
2
ref
var
5746
def
28
ref
418
ref
600
ref
5746
remove
varTerm
5747
def
appTerm
2805
ref
appTerm
appTerm
appTerm
57
ref
418
ref
5747
remove
appTerm
appTerm
5695
ref
appTerm
appTerm
absTerm
40
ref
appTerm
betaConv
appThm
5741
remove
28
ref
418
ref
5722
remove
appTerm
appTerm
2507
remove
5695
remove
appTerm
appTerm
refl
appThm
trans
5742
remove
5723
ref
appThm
eqMp
sym
108
ref
447
ref
5724
ref
appThm
2513
ref
trans
appThm
2514
remove
5743
remove
appThm
5712
remove
2519
ref
subst
trans
appThm
2525
ref
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5727
ref
5744
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
5729
ref
nil
5727
ref
5730
ref
612
ref
5733
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
5748
def
subst
58
ref
nil
2802
ref
5678
ref
nil
cons
5749
def
cons
nil
cons
5750
def
nil
cons
cons
nil
50
ref
2814
remove
cons
nil
cons
nil
cons
cons
2442
remove
subst
5751
def
subst
appThm
nil
2801
ref
5687
ref
nil
cons
5752
def
cons
2802
ref
5684
ref
nil
cons
5753
def
cons
nil
cons
cons
nil
cons
cons
5748
remove
subst
58
ref
nil
2802
ref
5683
ref
nil
cons
5754
def
cons
nil
cons
5755
def
nil
cons
cons
5751
ref
subst
appThm
nil
2802
ref
5686
ref
nil
cons
cons
nil
cons
5756
def
nil
cons
cons
5751
remove
subst
appThm
trans
appThm
trans
appThm
5689
ref
refl
appThm
trans
108
ref
5680
ref
refl
5757
def
nil
617
ref
5752
ref
cons
68
ref
5690
ref
cons
5758
def
67
ref
5753
ref
cons
nil
cons
5759
def
cons
cons
nil
cons
cons
108
ref
nil
"t3"
2
ref
var
5760
def
2007
remove
cons
5761
def
2388
ref
100
ref
cons
2389
ref
97
ref
cons
nil
cons
cons
5762
def
cons
nil
cons
cons
5760
ref
28
ref
600
ref
2390
ref
appTerm
5763
def
600
ref
2391
ref
appTerm
5764
def
5760
ref
varTerm
5765
def
appTerm
appTerm
5766
def
appTerm
600
ref
5763
remove
2391
ref
appTerm
5767
def
appTerm
5765
ref
appTerm
5768
def
appTerm
5769
def
absTerm
5770
def
5765
ref
appTerm
5771
def
betaConv
2388
ref
165
ref
5770
ref
appTerm
5772
def
absTerm
5773
def
2391
ref
appTerm
5774
def
betaConv
2389
ref
165
ref
5773
ref
appTerm
5775
def
absTerm
5776
def
2390
ref
appTerm
5777
def
betaConv
165
ref
refl
5778
def
2389
ref
5778
ref
2388
ref
5778
remove
5760
ref
5769
remove
assume
sym
28
ref
5768
remove
appTerm
5766
remove
appTerm
5779
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
165
ref
2389
ref
165
ref
2388
ref
165
ref
5760
remove
5779
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
67
ref
165
ref
5776
ref
appTerm
nil
cons
cons
68
ref
5777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5776
remove
nil
cons
cons
2400
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5775
remove
nil
cons
cons
68
ref
5774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5773
remove
nil
cons
cons
2401
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5772
remove
nil
cons
cons
68
ref
5771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5770
remove
nil
cons
cons
169
ref
5765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5780
def
subst
appThm
nil
5761
remove
2388
ref
97
remove
cons
2389
ref
100
remove
cons
nil
cons
cons
cons
nil
cons
cons
5780
remove
subst
appThm
sym
2212
ref
nil
5762
remove
nil
cons
cons
2388
remove
28
ref
5767
remove
appTerm
5764
remove
2390
ref
appTerm
appTerm
absTerm
5781
def
2391
remove
appTerm
5782
def
betaConv
2389
remove
165
ref
5781
ref
appTerm
5783
def
absTerm
5784
def
2390
remove
appTerm
5785
def
betaConv
nil
165
ref
5784
ref
appTerm
5786
def
axiom
nil
67
ref
5786
remove
nil
cons
cons
68
ref
5785
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5784
remove
nil
cons
cons
2400
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5783
remove
nil
cons
cons
68
ref
5782
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
ref
5781
remove
nil
cons
cons
2401
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5787
def
appThm
618
remove
refl
appThm
eqMp
5788
def
subst
600
ref
5689
ref
appTerm
5789
def
refl
5790
def
nil
68
ref
5752
remove
cons
5791
def
5759
remove
cons
nil
cons
cons
5787
remove
subst
5792
def
appThm
trans
appThm
nil
617
ref
600
ref
5687
ref
appTerm
5793
def
5684
ref
appTerm
nil
cons
cons
5758
remove
67
ref
5731
remove
cons
nil
cons
5794
def
cons
cons
nil
cons
cons
5788
ref
subst
5790
ref
nil
617
ref
5753
remove
cons
5791
remove
5794
remove
cons
cons
nil
cons
cons
5788
remove
subst
5795
def
appThm
trans
trans
appThm
5790
remove
5757
remove
5792
remove
appThm
5795
remove
trans
appThm
appThm
nil
169
ref
5789
ref
5793
remove
5680
remove
5684
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2443
remove
subst
trans
sym
55
ref
eqMp
nil
2801
ref
5685
remove
5789
remove
5687
remove
appTerm
5796
def
appTerm
nil
cons
5797
def
cons
5750
remove
cons
nil
cons
cons
nil
5693
ref
68
ref
28
ref
2807
remove
appTerm
600
ref
5732
ref
appTerm
2805
ref
appTerm
appTerm
nil
cons
5798
def
cons
nil
cons
5799
def
cons
nil
cons
cons
5800
def
85
ref
subst
5800
remove
138
ref
subst
28
ref
"_630"
2
ref
var
5801
def
28
ref
69
ref
5801
remove
varTerm
5802
def
appTerm
2805
ref
appTerm
appTerm
600
ref
418
ref
5802
remove
appTerm
appTerm
2805
ref
appTerm
appTerm
absTerm
5803
def
2803
ref
appTerm
5804
def
appTerm
refl
5805
def
5803
ref
448
ref
appTerm
betaConv
appThm
108
ref
5804
remove
betaConv
appThm
5806
def
28
ref
480
ref
2805
ref
appTerm
appTerm
600
ref
489
ref
appTerm
2805
ref
appTerm
appTerm
refl
appThm
trans
5803
remove
refl
5807
def
5708
ref
appThm
eqMp
sym
108
ref
5709
ref
3855
ref
subst
appThm
2212
ref
490
ref
appThm
2805
ref
refl
5808
def
appThm
5724
remove
trans
appThm
5726
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5714
ref
106
ref
5798
ref
cons
nil
cons
5809
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
5718
ref
5799
remove
cons
nil
cons
cons
5810
def
85
ref
subst
5810
remove
138
ref
subst
5805
remove
"_628"
2
ref
var
5811
def
28
ref
69
ref
5811
remove
varTerm
5812
def
appTerm
2805
ref
appTerm
appTerm
600
ref
418
ref
5812
remove
appTerm
appTerm
2805
ref
appTerm
appTerm
absTerm
40
ref
appTerm
betaConv
appThm
5806
remove
28
ref
494
ref
2805
ref
appTerm
appTerm
600
ref
2506
ref
appTerm
2805
ref
appTerm
appTerm
refl
appThm
trans
5807
remove
5723
ref
appThm
eqMp
sym
108
ref
5709
ref
498
ref
subst
appThm
2212
ref
2513
ref
appThm
5808
remove
appThm
5710
remove
trans
appThm
5713
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5727
ref
5809
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
5729
ref
nil
5727
ref
5730
ref
612
ref
5798
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
5813
def
subst
nil
67
ref
5749
ref
cons
68
ref
5797
ref
cons
nil
cons
cons
nil
cons
cons
5814
def
85
ref
subst
5814
remove
138
ref
subst
nil
2801
ref
5796
remove
nil
cons
5815
def
cons
5755
remove
cons
nil
cons
cons
5813
remove
subst
nil
67
ref
5754
ref
cons
68
ref
5815
ref
cons
nil
cons
5816
def
cons
nil
cons
cons
5817
def
85
ref
subst
5817
remove
138
ref
subst
4909
ref
5678
remove
assume
appThm
5683
remove
assume
appThm
nil
67
ref
28
ref
5686
remove
appTerm
5689
remove
appTerm
nil
cons
cons
5816
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2801
ref
5690
remove
cons
5756
remove
cons
nil
cons
cons
nil
5693
remove
68
ref
2806
remove
600
ref
2805
ref
appTerm
5818
def
5732
remove
appTerm
appTerm
nil
cons
5819
def
cons
nil
cons
5820
def
cons
nil
cons
cons
5821
def
85
ref
subst
5821
remove
138
ref
subst
28
ref
"_634"
2
ref
var
5822
def
69
ref
28
ref
5822
remove
varTerm
5823
def
appTerm
2805
ref
appTerm
appTerm
5818
ref
418
ref
5823
remove
appTerm
appTerm
appTerm
absTerm
5824
def
2803
remove
appTerm
5825
def
appTerm
refl
5826
def
5824
ref
448
ref
appTerm
betaConv
appThm
108
ref
5825
remove
betaConv
appThm
5827
def
69
ref
484
remove
2805
ref
appTerm
appTerm
5818
ref
489
remove
appTerm
appTerm
refl
appThm
trans
5824
remove
refl
5828
def
5708
remove
appThm
eqMp
sym
151
ref
5709
ref
2524
remove
subst
appThm
5818
ref
refl
5829
def
490
ref
appThm
5709
ref
50
ref
28
ref
601
remove
40
ref
appTerm
appTerm
40
ref
appTerm
absTerm
5830
def
52
remove
appTerm
5831
def
betaConv
nil
165
remove
5830
ref
appTerm
5832
def
axiom
nil
67
ref
5832
remove
nil
cons
cons
68
ref
5831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
168
remove
5830
remove
nil
cons
cons
171
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5833
def
subst
trans
appThm
5725
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5714
remove
106
ref
5819
ref
cons
nil
cons
5834
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
5718
remove
5820
remove
cons
nil
cons
cons
5835
def
85
ref
subst
5835
remove
138
ref
subst
5826
remove
"_632"
2
ref
var
5836
def
69
ref
28
ref
5836
remove
varTerm
5837
def
appTerm
2805
ref
appTerm
appTerm
5818
ref
418
ref
5837
remove
appTerm
appTerm
appTerm
absTerm
40
ref
appTerm
betaConv
appThm
5827
remove
69
ref
901
remove
2805
remove
appTerm
appTerm
5818
remove
2506
remove
appTerm
appTerm
refl
appThm
trans
5828
remove
5723
remove
appThm
eqMp
sym
151
ref
5709
ref
905
ref
subst
appThm
5829
remove
2513
ref
appThm
5709
ref
4908
ref
subst
trans
appThm
5709
remove
178
remove
subst
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
5727
ref
5834
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
5729
remove
nil
5727
remove
5730
remove
612
ref
5819
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
104
ref
5754
remove
cons
106
ref
5815
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
5749
remove
cons
106
ref
5797
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
5625
remove
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
5626
remove
2472
ref
subst
5627
remove
assume
eqMp
eqMp
eqMp
nil
104
ref
1603
remove
cons
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2545
remove
106
ref
5649
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
5628
remove
cons
5838
def
106
ref
5647
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
67
ref
65
ref
5639
ref
appTerm
nil
cons
cons
68
ref
5640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5639
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5638
remove
nil
cons
cons
68
ref
5637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5636
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
5838
remove
2546
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
5612
remove
eqMp
appThm
5553
ref
refl
appThm
921
ref
appThm
trans
nil
"t2"
1
ref
var
5839
def
194
remove
cons
"t1"
1
ref
var
5840
def
5601
ref
cons
nil
cons
cons
nil
cons
cons
25
remove
554
remove
subst
5841
def
subst
trans
appThm
2240
ref
2231
ref
nil
436
ref
2232
remove
nil
cons
cons
nil
cons
nil
cons
cons
1480
ref
subst
subst
appThm
2231
ref
2353
ref
437
ref
appTerm
5842
def
betaConv
2356
remove
2357
remove
224
ref
subst
proveHyp
nil
104
ref
2352
remove
nil
cons
cons
106
ref
2354
remove
nil
cons
5843
def
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
proveHyp
nil
67
ref
5843
remove
cons
68
ref
5842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
2353
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2233
remove
refl
5844
def
2358
ref
appThm
trans
trans
5845
def
nil
2255
remove
2360
ref
5615
remove
cons
cons
nil
cons
cons
nil
67
ref
10
ref
2327
ref
appTerm
5846
def
1534
ref
appTerm
5847
def
nil
cons
5848
def
cons
5849
def
68
ref
28
ref
1929
ref
appTerm
5850
def
40
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
69
ref
5847
ref
appTerm
5851
def
refl
nil
50
ref
1929
ref
nil
cons
cons
nil
cons
nil
cons
cons
5624
remove
subst
nil
2373
remove
2245
ref
cons
nil
cons
cons
5852
def
2421
remove
subst
trans
976
ref
2412
ref
2425
remove
nil
2423
ref
2245
remove
cons
nil
cons
cons
2342
remove
subst
appThm
absThm
appThm
trans
appThm
sym
nil
67
ref
5851
remove
947
ref
2412
ref
2424
remove
1482
ref
1496
ref
2413
ref
appTerm
appTerm
appTerm
5853
def
absTerm
5854
def
appTerm
5855
def
appTerm
5856
def
nil
cons
cons
nil
cons
nil
cons
cons
2444
remove
subst
sym
nil
67
ref
418
ref
5856
remove
appTerm
5857
def
nil
cons
5858
def
cons
457
ref
cons
nil
cons
cons
5859
def
85
ref
subst
5859
remove
138
ref
subst
2449
remove
2450
remove
2451
remove
nil
"_2195"
1
ref
var
5860
def
1470
remove
cons
"_2194"
1
ref
var
5861
def
1519
ref
cons
nil
cons
cons
nil
cons
cons
436
ref
10
ref
390
ref
5861
remove
varTerm
5862
def
appTerm
437
ref
appTerm
appTerm
1496
ref
5862
ref
appTerm
appTerm
absTerm
5863
def
5860
remove
varTerm
5864
def
appTerm
5865
def
betaConv
1512
remove
5862
ref
appTerm
5866
def
betaConv
nil
1517
remove
68
ref
5866
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
1518
remove
130
ref
5862
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5863
ref
appTerm
nil
cons
cons
68
ref
5865
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5863
remove
nil
cons
cons
130
ref
5864
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
67
ref
1508
remove
nil
cons
cons
68
ref
5846
ref
1482
ref
1507
ref
appTerm
appTerm
nil
cons
5867
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_9266"
1
ref
var
5868
def
5673
remove
cons
"_9265"
1
ref
var
5869
def
5671
remove
cons
nil
cons
cons
nil
cons
cons
nil
67
ref
10
ref
5869
remove
varTerm
5870
def
appTerm
5868
remove
varTerm
5871
def
appTerm
5872
def
nil
cons
5873
def
cons
68
ref
10
ref
1482
ref
5870
remove
appTerm
appTerm
1482
ref
5871
remove
appTerm
appTerm
nil
cons
5874
def
cons
nil
cons
cons
nil
cons
cons
5875
def
85
ref
subst
5875
remove
138
ref
subst
2240
ref
5872
remove
assume
appThm
eqMp
nil
104
ref
5873
remove
cons
106
ref
5874
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
67
ref
5867
remove
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_9258"
1
ref
var
5876
def
1519
remove
cons
nil
cons
nil
cons
cons
nil
67
ref
5846
remove
1482
ref
1496
remove
5876
remove
varTerm
5877
def
appTerm
appTerm
5878
def
appTerm
5879
def
nil
cons
cons
nil
cons
nil
cons
cons
2472
remove
subst
28
ref
"_9263"
1
ref
var
5880
def
418
ref
10
ref
5880
remove
varTerm
appTerm
5878
remove
appTerm
appTerm
absTerm
5881
def
1534
ref
appTerm
5882
def
appTerm
refl
5881
ref
2327
remove
appTerm
betaConv
appThm
108
ref
5882
remove
betaConv
appThm
418
ref
5879
remove
appTerm
refl
appThm
trans
5881
remove
refl
nil
5849
remove
68
ref
5855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
2477
remove
68
ref
28
ref
418
ref
73
remove
appTerm
appTerm
75
remove
2478
ref
appTerm
appTerm
nil
cons
5883
def
cons
nil
cons
5884
def
cons
nil
cons
cons
5885
def
85
ref
subst
5885
remove
138
ref
subst
28
ref
"_542"
2
ref
var
5886
def
28
ref
418
ref
69
ref
5886
remove
varTerm
5887
def
appTerm
72
ref
appTerm
appTerm
appTerm
57
ref
5887
remove
appTerm
2478
ref
appTerm
appTerm
absTerm
5888
def
70
remove
appTerm
5889
def
appTerm
refl
5890
def
5888
ref
448
ref
appTerm
betaConv
appThm
108
ref
5889
remove
betaConv
appThm
5891
def
28
ref
418
ref
480
remove
72
ref
appTerm
appTerm
appTerm
2515
remove
2478
ref
appTerm
appTerm
refl
appThm
trans
5888
remove
refl
5892
def
2490
remove
appThm
eqMp
sym
108
ref
447
ref
101
ref
3855
ref
subst
appThm
2513
remove
trans
appThm
2520
remove
appThm
2525
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
2497
remove
106
ref
5883
ref
cons
nil
cons
5893
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2501
remove
5884
remove
cons
nil
cons
cons
5894
def
85
ref
subst
5894
remove
138
ref
subst
5890
remove
"_540"
2
ref
var
5895
def
28
ref
418
ref
69
ref
5895
remove
varTerm
5896
def
appTerm
72
ref
appTerm
appTerm
appTerm
57
ref
5896
remove
appTerm
2478
ref
appTerm
appTerm
absTerm
40
remove
appTerm
betaConv
appThm
5891
remove
28
ref
418
ref
494
remove
72
remove
appTerm
appTerm
appTerm
162
remove
2478
remove
appTerm
appTerm
refl
appThm
trans
5892
remove
2508
remove
appThm
eqMp
sym
108
ref
447
ref
101
remove
498
ref
subst
appThm
appThm
2495
remove
appThm
2496
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
2526
ref
5893
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2533
remove
nil
2526
remove
2534
remove
612
ref
5883
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
subst
58
ref
5847
remove
refl
appThm
nil
5
ref
5854
ref
nil
cons
cons
nil
cons
nil
cons
cons
2543
remove
subst
149
ref
2412
ref
447
ref
5854
remove
2413
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
5857
remove
assume
eqMp
5897
def
nil
104
ref
5848
remove
cons
106
ref
65
ref
2412
ref
418
ref
5853
remove
appTerm
absTerm
5898
def
appTerm
nil
cons
5899
def
cons
nil
cons
cons
nil
cons
cons
5900
def
120
ref
subst
proveHyp
sym
appThm
eqMp
5898
ref
5877
ref
appTerm
5901
def
betaConv
5897
remove
5900
remove
224
ref
subst
proveHyp
nil
67
ref
5899
remove
cons
68
ref
5901
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5898
remove
nil
cons
cons
130
ref
5877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
2547
remove
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
5858
remove
cons
2546
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
5845
remove
eqMp
5902
def
trans
appThm
5597
ref
refl
appThm
nil
50
ref
5597
remove
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
1465
ref
2267
remove
subst
1442
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
4773
remove
106
ref
5592
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
5591
remove
appTerm
5903
def
nil
cons
cons
68
ref
57
ref
65
ref
6
ref
65
ref
192
ref
719
remove
5576
ref
appTerm
5904
def
absTerm
5905
def
appTerm
5906
def
absTerm
5907
def
appTerm
5908
def
appTerm
65
ref
6
ref
65
ref
192
ref
65
ref
150
ref
69
ref
717
ref
726
remove
728
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
4786
remove
57
ref
5551
ref
5552
ref
403
ref
appTerm
5553
ref
appTerm
5909
def
appTerm
appTerm
5431
remove
152
ref
appTerm
5910
def
appTerm
5911
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5912
def
appTerm
5913
def
appTerm
5914
def
appTerm
5915
def
appTerm
5916
def
appTerm
5576
ref
appTerm
5917
def
absTerm
5918
def
appTerm
5919
def
absTerm
5920
def
appTerm
5921
def
absTerm
5922
def
appTerm
5923
def
appTerm
5924
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
5907
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5906
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5905
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5904
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
744
remove
68
ref
5576
remove
nil
cons
5925
def
cons
nil
cons
5926
def
cons
nil
cons
cons
5927
def
85
ref
subst
5927
remove
138
ref
subst
750
remove
751
remove
nil
5
ref
5575
ref
nil
cons
cons
5928
def
nil
cons
nil
cons
cons
49
ref
subst
5929
def
190
ref
nil
50
ref
5574
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
5930
def
nil
5
ref
5573
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5931
def
378
ref
nil
50
ref
5572
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
5932
def
nil
5
ref
5571
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5933
def
379
ref
nil
50
ref
5570
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
5934
def
4815
remove
5569
ref
refl
5935
def
appThm
sym
5936
def
nil
2088
remove
68
ref
4817
remove
5569
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
4825
remove
4829
remove
5935
ref
appThm
appThm
sym
nil
806
remove
68
ref
4830
remove
5569
ref
appTerm
nil
cons
5937
def
cons
nil
cons
cons
nil
cons
cons
5938
def
85
ref
subst
5938
remove
138
ref
subst
4838
remove
5935
ref
appThm
sym
nil
4843
remove
68
ref
5569
ref
nil
cons
5939
def
cons
nil
cons
5940
def
cons
nil
cons
cons
5941
def
85
ref
subst
5941
remove
138
ref
subst
4846
remove
4847
remove
4849
remove
4851
remove
4852
remove
28
ref
"_29812"
1
ref
var
5942
def
5556
ref
1894
ref
5942
remove
varTerm
appTerm
19
ref
appTerm
appTerm
absTerm
5943
def
383
ref
appTerm
5944
def
appTerm
refl
5945
def
5943
ref
371
ref
appTerm
betaConv
appThm
108
ref
5944
remove
betaConv
appThm
5946
def
5556
ref
1894
ref
371
remove
appTerm
19
ref
appTerm
5947
def
appTerm
refl
appThm
trans
5943
remove
refl
5948
def
4861
remove
appThm
eqMp
sym
28
ref
"_29824"
1
ref
var
5949
def
57
ref
1894
ref
5949
remove
varTerm
appTerm
5554
ref
appTerm
appTerm
5947
ref
appTerm
absTerm
5950
def
381
ref
appTerm
5951
def
appTerm
refl
5950
ref
359
ref
appTerm
betaConv
appThm
108
ref
5951
remove
betaConv
appThm
57
ref
2192
ref
5554
ref
appTerm
5952
def
appTerm
5947
ref
appTerm
refl
appThm
trans
5950
remove
refl
4768
remove
appThm
eqMp
sym
nil
5614
remove
2274
remove
cons
nil
cons
cons
1530
ref
28
ref
1926
ref
5552
remove
437
ref
appTerm
5953
def
1534
ref
appTerm
appTerm
appTerm
600
ref
1927
ref
appTerm
1934
ref
appTerm
appTerm
absTerm
5954
def
1534
ref
appTerm
5955
def
betaConv
436
ref
65
ref
5954
ref
appTerm
5956
def
absTerm
5957
def
437
ref
appTerm
5958
def
betaConv
1419
ref
65
ref
5957
ref
appTerm
5959
def
absTerm
5960
def
1420
ref
appTerm
5961
def
betaConv
nil
65
ref
5960
ref
appTerm
5962
def
axiom
nil
67
ref
5962
remove
nil
cons
cons
68
ref
5961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5960
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5959
remove
nil
cons
cons
68
ref
5958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5957
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5956
remove
nil
cons
cons
68
ref
5955
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5954
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
600
ref
2193
ref
appTerm
refl
5902
remove
appThm
nil
50
ref
2194
remove
cons
nil
cons
nil
cons
cons
5963
def
5833
remove
subst
trans
sym
55
ref
eqMp
eqMp
nil
67
ref
5952
remove
nil
cons
cons
68
ref
5947
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
3026
ref
436
ref
4837
remove
cons
nil
cons
cons
nil
cons
cons
1530
ref
5850
remove
1894
ref
4046
remove
appTerm
2428
remove
359
ref
appTerm
appTerm
5964
def
appTerm
5965
def
absTerm
5966
def
1534
ref
appTerm
5967
def
betaConv
436
ref
65
ref
5966
ref
appTerm
5968
def
absTerm
5969
def
437
ref
appTerm
5970
def
betaConv
149
ref
436
ref
149
ref
1530
ref
5965
remove
assume
sym
28
ref
5964
remove
appTerm
1929
ref
appTerm
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1419
ref
65
ref
436
ref
65
ref
1530
ref
28
ref
1894
ref
1507
remove
appTerm
2460
remove
appTerm
appTerm
1929
ref
appTerm
absTerm
5971
def
appTerm
5972
def
absTerm
5973
def
appTerm
5974
def
absTerm
5975
def
359
ref
appTerm
5976
def
betaConv
nil
65
ref
5975
ref
appTerm
5977
def
axiom
5978
def
nil
67
ref
5977
remove
nil
cons
cons
5979
def
68
ref
5976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5975
ref
nil
cons
cons
5980
def
2643
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
nil
67
ref
65
ref
5969
ref
appTerm
nil
cons
cons
68
ref
5970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5969
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5968
remove
nil
cons
cons
68
ref
5967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5966
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
4935
remove
nil
67
ref
69
ref
4931
ref
appTerm
4903
ref
appTerm
5981
def
nil
cons
cons
68
ref
1894
ref
4888
ref
appTerm
1558
ref
359
ref
appTerm
5982
def
appTerm
5983
def
nil
cons
5984
def
cons
nil
cons
5985
def
cons
nil
cons
cons
129
ref
subst
proveHyp
4930
remove
nil
4932
ref
68
ref
69
ref
4903
ref
appTerm
5983
ref
appTerm
5986
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
4904
ref
cons
5985
remove
cons
nil
cons
cons
5987
def
85
ref
subst
5987
remove
138
ref
subst
28
ref
"_29842"
1
ref
var
5988
def
1894
ref
5988
remove
varTerm
appTerm
5982
ref
appTerm
absTerm
5989
def
4888
remove
appTerm
5990
def
appTerm
refl
5989
ref
370
ref
appTerm
betaConv
appThm
108
ref
5990
remove
betaConv
appThm
1894
ref
370
ref
appTerm
5982
ref
appTerm
5991
def
refl
appThm
trans
5989
remove
refl
4903
remove
assume
appThm
eqMp
sym
436
ref
57
ref
1593
ref
370
remove
appTerm
5992
def
437
ref
appTerm
appTerm
1913
ref
5982
ref
appTerm
appTerm
absTerm
5993
def
19
ref
appTerm
betaConv
sym
57
ref
5992
remove
19
ref
appTerm
5994
def
appTerm
refl
1894
ref
19
ref
appTerm
refl
2961
remove
5463
ref
subst
appThm
1465
ref
nil
50
ref
1913
remove
1642
ref
appTerm
5995
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
436
ref
5995
remove
absTerm
5996
def
437
ref
appTerm
5997
def
betaConv
nil
65
ref
5996
ref
appTerm
5998
def
axiom
nil
67
ref
5998
remove
nil
cons
cons
68
ref
5997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5996
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
5999
def
subst
trans
appThm
nil
50
ref
5994
remove
nil
cons
6000
def
cons
nil
cons
nil
cons
cons
311
ref
subst
trans
sym
nil
421
ref
68
ref
6000
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
1592
remove
1419
ref
441
ref
1593
ref
1421
remove
appTerm
1420
ref
appTerm
appTerm
6001
def
absTerm
6002
def
1420
ref
appTerm
6003
def
betaConv
436
ref
65
ref
6002
ref
appTerm
6004
def
absTerm
6005
def
437
ref
appTerm
6006
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
6001
ref
absTerm
6007
def
appTerm
6008
def
absTerm
6009
def
appTerm
6010
def
axiom
nil
67
ref
6010
remove
nil
cons
6011
def
cons
6012
def
68
ref
65
ref
6005
ref
appTerm
nil
cons
6013
def
cons
nil
cons
cons
nil
cons
cons
6014
def
129
ref
subst
proveHyp
6014
ref
85
ref
subst
6014
remove
138
ref
subst
nil
5
ref
6005
remove
nil
cons
cons
6015
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6004
remove
nil
cons
6016
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6002
remove
nil
cons
cons
6017
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
6001
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6007
ref
437
ref
appTerm
6018
def
betaConv
6009
ref
1420
ref
appTerm
6019
def
betaConv
nil
6012
remove
68
ref
6019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6009
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6008
remove
nil
cons
cons
68
ref
6018
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6007
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
6011
remove
cons
106
ref
6013
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6013
remove
cons
68
ref
6006
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6015
remove
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6016
remove
cons
68
ref
6003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6017
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
23
ref
5
ref
5993
ref
nil
cons
cons
132
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
5993
remove
appTerm
nil
cons
cons
68
ref
5991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1530
ref
5982
remove
nil
cons
cons
4934
ref
cons
nil
cons
cons
1530
ref
69
ref
947
ref
436
ref
2377
ref
1929
ref
appTerm
6020
def
absTerm
6021
def
appTerm
6022
def
appTerm
6023
def
1934
ref
appTerm
6024
def
absTerm
6025
def
1534
ref
appTerm
6026
def
betaConv
1419
ref
65
ref
6025
ref
appTerm
6027
def
absTerm
6028
def
1420
ref
appTerm
6029
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
69
ref
6020
ref
appTerm
1934
ref
appTerm
absTerm
6030
def
appTerm
6031
def
absTerm
6032
def
appTerm
6033
def
absTerm
6034
def
appTerm
6035
def
axiom
nil
67
ref
6035
ref
nil
cons
6036
def
cons
6037
def
68
ref
65
ref
6028
ref
appTerm
nil
cons
6038
def
cons
nil
cons
cons
nil
cons
cons
6039
def
129
ref
subst
proveHyp
6039
ref
85
ref
subst
6039
remove
138
ref
subst
nil
5
ref
6028
remove
nil
cons
cons
6040
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
6027
remove
nil
cons
6041
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6025
remove
nil
cons
cons
6042
def
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
6024
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6022
remove
nil
cons
6043
def
cons
6044
def
1957
ref
cons
nil
cons
cons
6045
def
85
ref
subst
6045
remove
138
ref
subst
nil
6037
ref
1957
ref
cons
nil
cons
cons
6046
def
129
ref
subst
nil
6044
remove
68
ref
69
ref
6035
remove
appTerm
1934
ref
appTerm
6047
def
nil
cons
6048
def
cons
nil
cons
6049
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
436
ref
69
ref
6021
ref
437
ref
appTerm
6050
def
appTerm
6047
ref
appTerm
6051
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6051
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6050
ref
nil
cons
6052
def
cons
6049
ref
cons
nil
cons
cons
6053
def
85
ref
subst
6053
remove
138
ref
subst
6050
ref
betaConv
6050
remove
assume
eqMp
nil
67
ref
6020
remove
nil
cons
6054
def
cons
6055
def
6049
remove
cons
nil
cons
cons
6056
def
129
ref
subst
proveHyp
6056
ref
85
ref
subst
6056
remove
138
ref
subst
6046
ref
85
ref
subst
6046
remove
138
ref
subst
nil
6055
remove
1957
ref
cons
nil
cons
cons
129
ref
subst
6030
ref
1534
ref
appTerm
6057
def
betaConv
6032
ref
437
ref
appTerm
6058
def
betaConv
6034
ref
1420
ref
appTerm
6059
def
betaConv
nil
6037
remove
68
ref
6059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6034
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6033
remove
nil
cons
cons
68
ref
6058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6032
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6031
remove
nil
cons
cons
68
ref
6057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6030
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6036
remove
cons
6060
def
1974
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
6054
remove
cons
106
ref
6048
remove
cons
nil
cons
6061
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6052
remove
cons
6061
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6021
ref
1710
ref
appTerm
appTerm
6047
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6023
remove
6047
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6021
remove
nil
cons
cons
6061
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6043
remove
cons
1974
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6060
remove
106
ref
6038
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6038
remove
cons
68
ref
6029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6040
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6041
remove
cons
68
ref
6026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6042
remove
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
104
ref
4904
remove
cons
106
ref
5984
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
ref
4931
remove
appTerm
5986
remove
appTerm
nil
cons
cons
68
ref
69
ref
5981
remove
appTerm
5983
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
5984
remove
cons
4933
remove
4932
remove
nil
cons
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
4942
remove
106
ref
5939
ref
cons
nil
cons
6062
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
871
remove
106
ref
5937
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
908
remove
106
ref
5925
ref
cons
nil
cons
6063
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
67
ref
5908
remove
nil
cons
cons
68
ref
5923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
5
ref
5922
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
5921
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5920
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
5919
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
5918
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
5917
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
5916
remove
nil
cons
6064
def
cons
5926
remove
cons
nil
cons
cons
6065
def
85
ref
subst
6065
remove
138
ref
subst
nil
583
ref
106
ref
5915
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6066
def
120
ref
subst
6066
remove
224
ref
subst
nil
913
remove
106
ref
5914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6067
def
120
ref
subst
6067
remove
224
ref
subst
nil
916
remove
106
ref
5913
remove
nil
cons
6068
def
cons
nil
cons
cons
nil
cons
cons
6069
def
120
ref
subst
6069
remove
224
ref
subst
5929
remove
190
ref
5930
remove
5931
remove
378
ref
5932
remove
5933
remove
379
ref
5934
remove
5936
remove
4951
remove
5935
ref
appThm
sym
969
remove
nil
972
remove
68
ref
4952
remove
5569
ref
appTerm
6070
def
nil
cons
6071
def
cons
nil
cons
6072
def
cons
nil
cons
cons
129
ref
subst
proveHyp
996
remove
6070
ref
refl
appThm
sym
nil
5
ref
4956
ref
4959
remove
6070
ref
appTerm
6073
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
4956
remove
nil
50
ref
6073
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
4962
remove
6072
ref
cons
nil
cons
cons
6074
def
85
ref
subst
6074
remove
138
ref
subst
4964
remove
nil
4968
remove
6072
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
4969
ref
4972
remove
6070
ref
appTerm
6075
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
4969
remove
nil
50
ref
6075
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
4975
remove
6072
ref
cons
nil
cons
cons
6076
def
85
ref
subst
6076
remove
138
ref
subst
4977
remove
nil
4981
remove
6072
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
3321
ref
4983
remove
6070
ref
appTerm
6077
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
3321
ref
nil
50
ref
6077
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
4986
remove
6072
ref
cons
nil
cons
cons
6078
def
85
ref
subst
6078
remove
138
ref
subst
4988
remove
nil
4993
remove
6072
ref
cons
nil
cons
cons
6079
def
129
ref
subst
proveHyp
6079
ref
85
ref
subst
6079
remove
138
ref
subst
379
ref
4995
remove
57
ref
1894
ref
4970
ref
appTerm
6080
def
5909
remove
appTerm
6081
def
appTerm
6082
def
5910
ref
appTerm
appTerm
absTerm
6083
def
3322
ref
appTerm
6084
def
betaConv
378
ref
65
ref
379
ref
5000
remove
5911
remove
appTerm
absTerm
appTerm
absTerm
6085
def
4970
ref
appTerm
6086
def
betaConv
5912
ref
4957
ref
appTerm
6087
def
betaConv
nil
67
ref
6068
remove
cons
68
ref
6087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
5912
remove
nil
cons
cons
5005
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6085
ref
appTerm
nil
cons
cons
68
ref
6086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6085
remove
nil
cons
cons
5007
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6083
ref
appTerm
nil
cons
cons
68
ref
6084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6083
remove
nil
cons
cons
5009
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5010
remove
6082
remove
1894
ref
3322
ref
appTerm
152
ref
appTerm
6088
def
appTerm
6089
def
appTerm
nil
cons
cons
6072
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
5021
remove
6089
ref
refl
appThm
nil
50
ref
6089
remove
nil
cons
6090
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5030
remove
5935
ref
appThm
appThm
sym
nil
67
ref
6090
ref
cons
68
ref
5036
remove
5569
ref
appTerm
nil
cons
6091
def
cons
nil
cons
cons
nil
cons
cons
6092
def
85
ref
subst
6092
remove
138
ref
subst
nil
104
ref
6081
remove
nil
cons
6093
def
cons
106
ref
6088
ref
nil
cons
6094
def
cons
nil
cons
cons
nil
cons
cons
6095
def
120
ref
subst
6095
remove
224
ref
subst
nil
5040
remove
5940
remove
cons
nil
cons
cons
6096
def
85
ref
subst
6096
remove
138
ref
subst
5042
remove
5044
remove
5045
remove
5047
remove
5048
remove
5945
remove
"_29864"
1
ref
var
6097
def
5556
ref
1894
ref
6097
remove
varTerm
appTerm
19
ref
appTerm
appTerm
absTerm
5026
ref
appTerm
betaConv
appThm
5946
remove
5556
ref
1894
ref
5026
remove
appTerm
19
ref
appTerm
appTerm
refl
appThm
trans
5948
remove
5050
remove
appThm
eqMp
sym
5556
ref
refl
1904
ref
5052
remove
appThm
821
ref
appThm
appThm
sym
nil
2190
remove
68
ref
5556
ref
1894
ref
5025
remove
5053
ref
appTerm
6098
def
appTerm
6099
def
19
ref
appTerm
6100
def
appTerm
nil
cons
6101
def
cons
nil
cons
6102
def
cons
nil
cons
cons
6103
def
85
ref
subst
6103
remove
138
ref
subst
2269
remove
338
ref
nil
5602
ref
1916
remove
cons
nil
cons
cons
436
ref
5603
remove
5953
remove
1420
ref
appTerm
appTerm
absTerm
6104
def
437
ref
appTerm
6105
def
betaConv
1419
ref
65
ref
6104
ref
appTerm
6106
def
absTerm
6107
def
1420
ref
appTerm
6108
def
betaConv
nil
65
ref
6107
ref
appTerm
6109
def
axiom
nil
67
ref
6109
remove
nil
cons
cons
68
ref
6108
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6107
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6106
remove
nil
cons
cons
68
ref
6105
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6104
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6110
def
subst
appThm
417
ref
appThm
sym
nil
1591
ref
5613
remove
nil
cons
6111
def
cons
nil
cons
cons
5610
ref
subst
5611
remove
4909
ref
338
ref
5844
remove
2244
ref
appThm
2231
remove
2325
remove
subst
2240
ref
2243
remove
appThm
trans
trans
appThm
2240
remove
2244
ref
appThm
appThm
nil
130
ref
1482
ref
2304
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
sym
55
ref
eqMp
6112
def
appThm
417
ref
appThm
2275
ref
4916
remove
subst
5963
ref
56
ref
subst
5397
ref
eqMp
trans
trans
appThm
417
ref
appThm
6112
ref
appThm
nil
5839
remove
1482
ref
359
ref
appTerm
nil
cons
cons
5840
remove
237
remove
cons
nil
cons
cons
nil
cons
cons
5841
remove
subst
trans
trans
eqMp
28
ref
"_29902"
1
ref
var
6113
def
57
ref
5551
ref
6113
remove
varTerm
appTerm
appTerm
6100
ref
appTerm
absTerm
6114
def
5554
ref
appTerm
6115
def
appTerm
refl
6114
ref
200
ref
appTerm
betaConv
appThm
108
ref
6115
remove
betaConv
appThm
57
ref
5551
ref
200
ref
appTerm
6116
def
appTerm
6100
ref
appTerm
refl
appThm
trans
6114
remove
refl
10
ref
5554
ref
appTerm
200
ref
appTerm
assume
appThm
eqMp
sym
5063
ref
nil
5068
ref
68
ref
6116
ref
nil
cons
6117
def
cons
nil
cons
6118
def
cons
nil
cons
cons
129
ref
subst
proveHyp
5075
remove
6116
ref
refl
appThm
sym
nil
5076
remove
6118
remove
cons
nil
cons
cons
6119
def
85
ref
subst
6119
remove
138
ref
subst
5551
remove
refl
6120
def
5079
remove
appThm
sym
6120
remove
nil
436
ref
5080
ref
cons
6121
def
1419
ref
5082
ref
cons
nil
cons
6122
def
cons
nil
cons
cons
1521
ref
subst
appThm
sym
28
ref
"_29904"
1
ref
var
6123
def
1894
ref
6123
remove
varTerm
appTerm
390
ref
403
ref
appTerm
6124
def
5065
ref
appTerm
6125
def
appTerm
absTerm
6126
def
381
ref
appTerm
6127
def
appTerm
refl
6126
ref
5024
ref
appTerm
betaConv
appThm
108
ref
6127
remove
betaConv
appThm
1894
ref
5024
remove
appTerm
6128
def
6125
ref
appTerm
6129
def
refl
6130
def
appThm
trans
6126
remove
refl
5125
remove
appThm
eqMp
sym
nil
67
ref
6093
remove
cons
68
ref
6129
ref
nil
cons
6131
def
cons
nil
cons
6132
def
cons
nil
cons
cons
129
ref
subst
151
ref
6080
ref
refl
6133
def
nil
5602
remove
1419
ref
5080
ref
cons
nil
cons
6134
def
cons
nil
cons
cons
6110
remove
subst
appThm
appThm
6130
ref
appThm
sym
151
ref
6133
remove
nil
6121
ref
6111
remove
cons
nil
cons
cons
6135
def
5610
remove
subst
appThm
appThm
6130
remove
appThm
sym
108
ref
"_29906"
1
ref
var
6136
def
69
ref
6080
ref
6136
remove
varTerm
appTerm
appTerm
6129
ref
appTerm
absTerm
6137
def
5283
remove
1593
ref
5553
ref
appTerm
403
ref
appTerm
6138
def
appTerm
403
ref
appTerm
5553
ref
appTerm
appTerm
betaConv
appThm
58
ref
69
ref
6138
ref
appTerm
6139
def
refl
6137
ref
403
ref
appTerm
betaConv
appThm
appThm
69
ref
418
ref
6138
ref
appTerm
6140
def
appTerm
6141
def
refl
6137
ref
5553
ref
appTerm
betaConv
appThm
appThm
appThm
nil
5294
remove
5601
remove
cons
5295
remove
5080
remove
cons
776
remove
6138
remove
nil
cons
6142
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
5296
remove
6137
remove
nil
cons
cons
nil
cons
nil
cons
cons
5297
remove
subst
subst
eqMp
sym
nil
67
ref
6142
ref
cons
68
ref
69
ref
6080
ref
403
ref
appTerm
6143
def
appTerm
6129
ref
appTerm
6144
def
nil
cons
6145
def
cons
nil
cons
cons
nil
cons
cons
6146
def
85
ref
subst
6146
remove
138
ref
subst
nil
67
ref
6143
ref
nil
cons
6147
def
cons
6132
ref
cons
nil
cons
cons
6148
def
85
ref
subst
6148
remove
138
ref
subst
436
ref
57
ref
6128
ref
437
ref
appTerm
appTerm
2378
ref
6125
ref
appTerm
appTerm
absTerm
6149
def
6124
remove
5023
ref
appTerm
6150
def
appTerm
betaConv
sym
58
ref
nil
5081
remove
1419
ref
5126
remove
cons
436
ref
5006
remove
cons
nil
cons
cons
cons
nil
cons
cons
5971
ref
1534
ref
appTerm
6151
def
betaConv
5973
ref
437
ref
appTerm
6152
def
betaConv
5975
remove
1420
ref
appTerm
6153
def
betaConv
5978
remove
nil
5979
remove
68
ref
6153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5980
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5974
remove
nil
cons
cons
68
ref
6152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5973
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5972
remove
nil
cons
cons
68
ref
6151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5971
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6154
def
subst
nil
50
ref
6147
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
6143
remove
assume
eqMp
trans
appThm
nil
1530
ref
5082
remove
cons
6155
def
5127
remove
6134
ref
cons
cons
nil
cons
cons
1530
ref
28
ref
1593
ref
1505
ref
appTerm
2364
ref
appTerm
appTerm
2378
ref
1534
ref
appTerm
6156
def
appTerm
absTerm
6157
def
1534
ref
appTerm
6158
def
betaConv
436
ref
65
ref
6157
ref
appTerm
6159
def
absTerm
6160
def
437
ref
appTerm
6161
def
betaConv
1419
ref
65
ref
6160
ref
appTerm
6162
def
absTerm
6163
def
1420
ref
appTerm
6164
def
betaConv
nil
65
ref
6163
ref
appTerm
6165
def
axiom
nil
67
ref
6165
remove
nil
cons
cons
68
ref
6164
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6163
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6162
remove
nil
cons
cons
68
ref
6161
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6160
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6159
remove
nil
cons
cons
68
ref
6158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6157
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6166
def
subst
nil
1531
ref
5057
ref
1419
ref
5101
remove
cons
nil
cons
6167
def
cons
cons
nil
cons
cons
1530
ref
28
ref
1593
ref
1498
ref
appTerm
2995
ref
appTerm
appTerm
2197
remove
6156
ref
appTerm
appTerm
absTerm
6168
def
1534
ref
appTerm
6169
def
betaConv
436
ref
65
ref
6168
ref
appTerm
6170
def
absTerm
6171
def
437
ref
appTerm
6172
def
betaConv
1419
ref
65
ref
6171
ref
appTerm
6173
def
absTerm
6174
def
1420
ref
appTerm
6175
def
betaConv
nil
65
ref
6174
ref
appTerm
6176
def
axiom
nil
67
ref
6176
remove
nil
cons
cons
68
ref
6175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6174
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6173
remove
nil
cons
cons
68
ref
6172
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6171
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6170
remove
nil
cons
cons
68
ref
6169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6168
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6177
def
subst
trans
appThm
nil
50
ref
600
ref
10
ref
397
remove
appTerm
17
ref
appTerm
6178
def
appTerm
1593
ref
3322
ref
appTerm
152
ref
appTerm
6179
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
nil
67
ref
6094
ref
cons
68
ref
6179
remove
nil
cons
6180
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1474
remove
5056
remove
cons
nil
cons
cons
436
ref
2276
remove
2376
ref
appTerm
absTerm
6181
def
437
ref
appTerm
6182
def
betaConv
1419
ref
65
ref
6181
ref
appTerm
6183
def
absTerm
6184
def
1420
ref
appTerm
6185
def
betaConv
nil
65
ref
6184
ref
appTerm
6186
def
axiom
nil
67
ref
6186
remove
nil
cons
cons
68
ref
6185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6184
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6183
remove
nil
cons
cons
68
ref
6182
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6181
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6187
def
subst
eqMp
nil
104
ref
6178
ref
nil
cons
6188
def
cons
6189
def
106
ref
6180
remove
cons
nil
cons
cons
nil
cons
cons
4259
ref
subst
proveHyp
eqMp
eqMp
23
ref
5
ref
6149
ref
nil
cons
cons
130
ref
6150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6149
remove
appTerm
nil
cons
cons
6132
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1530
ref
6125
remove
nil
cons
cons
1419
ref
5029
remove
cons
nil
cons
cons
nil
cons
cons
1530
ref
69
ref
947
ref
436
ref
1928
ref
6156
ref
appTerm
6190
def
absTerm
6191
def
appTerm
6192
def
appTerm
6193
def
1934
ref
appTerm
6194
def
absTerm
6195
def
1534
ref
appTerm
6196
def
betaConv
1419
ref
65
ref
6195
ref
appTerm
6197
def
absTerm
6198
def
1420
ref
appTerm
6199
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
69
ref
6190
ref
appTerm
1934
ref
appTerm
absTerm
6200
def
appTerm
6201
def
absTerm
6202
def
appTerm
6203
def
absTerm
6204
def
appTerm
6205
def
axiom
nil
67
ref
6205
ref
nil
cons
6206
def
cons
6207
def
68
ref
65
ref
6198
ref
appTerm
nil
cons
6208
def
cons
nil
cons
cons
nil
cons
cons
6209
def
129
ref
subst
proveHyp
6209
ref
85
ref
subst
6209
remove
138
ref
subst
nil
5
ref
6198
remove
nil
cons
cons
6210
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
6197
remove
nil
cons
6211
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6195
remove
nil
cons
cons
6212
def
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
6194
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6192
remove
nil
cons
6213
def
cons
6214
def
1957
ref
cons
nil
cons
cons
6215
def
85
ref
subst
6215
remove
138
ref
subst
nil
6207
ref
1957
ref
cons
nil
cons
cons
6216
def
129
ref
subst
nil
6214
remove
68
ref
69
ref
6205
remove
appTerm
1934
remove
appTerm
6217
def
nil
cons
6218
def
cons
nil
cons
6219
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
436
ref
69
ref
6191
ref
437
ref
appTerm
6220
def
appTerm
6217
ref
appTerm
6221
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6221
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6220
ref
nil
cons
6222
def
cons
6219
ref
cons
nil
cons
cons
6223
def
85
ref
subst
6223
remove
138
ref
subst
6220
ref
betaConv
6220
remove
assume
eqMp
nil
67
ref
6190
remove
nil
cons
6224
def
cons
6225
def
6219
remove
cons
nil
cons
cons
6226
def
129
ref
subst
proveHyp
6226
ref
85
ref
subst
6226
remove
138
ref
subst
6216
ref
85
ref
subst
6216
remove
138
ref
subst
nil
6225
remove
1957
remove
cons
nil
cons
cons
129
ref
subst
6200
ref
1534
ref
appTerm
6227
def
betaConv
6202
ref
437
ref
appTerm
6228
def
betaConv
6204
ref
1420
ref
appTerm
6229
def
betaConv
nil
6207
remove
68
ref
6229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6204
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6203
remove
nil
cons
cons
68
ref
6228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6202
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6201
remove
nil
cons
cons
68
ref
6227
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6200
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6206
remove
cons
6230
def
1974
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
6224
remove
cons
106
ref
6218
remove
cons
nil
cons
6231
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6222
remove
cons
6231
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6191
ref
1710
ref
appTerm
appTerm
6217
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6193
remove
6217
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6191
remove
nil
cons
cons
6231
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6213
remove
cons
1974
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6230
remove
106
ref
6208
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6208
remove
cons
68
ref
6199
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6210
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6211
remove
cons
68
ref
6196
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6212
remove
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6232
def
subst
eqMp
eqMp
nil
104
ref
6147
remove
cons
106
ref
6131
ref
cons
nil
cons
6233
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
6142
remove
cons
106
ref
6145
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
6139
remove
6144
remove
appTerm
nil
cons
cons
68
ref
6141
remove
69
ref
6080
remove
5553
remove
appTerm
6234
def
appTerm
6129
ref
appTerm
6235
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
6140
ref
nil
cons
6236
def
cons
68
ref
6235
remove
nil
cons
6237
def
cons
nil
cons
cons
nil
cons
cons
6238
def
85
ref
subst
6238
remove
138
ref
subst
nil
67
ref
6234
remove
nil
cons
6239
def
cons
6132
ref
cons
nil
cons
cons
6240
def
85
ref
subst
6240
remove
138
ref
subst
nil
67
ref
418
ref
6178
ref
appTerm
nil
cons
6241
def
cons
6242
def
6132
ref
cons
nil
cons
cons
6243
def
85
ref
subst
6243
remove
138
ref
subst
28
ref
"_29892"
1
ref
var
6244
def
970
ref
355
ref
6244
remove
varTerm
appTerm
4989
ref
appTerm
appTerm
absTerm
6245
def
4957
remove
appTerm
6246
def
appTerm
refl
6245
ref
196
ref
appTerm
betaConv
appThm
108
ref
6246
remove
betaConv
appThm
970
remove
380
remove
4989
remove
appTerm
6247
def
appTerm
6248
def
refl
appThm
trans
6245
remove
refl
5089
remove
appThm
eqMp
5015
remove
eqMp
nil
67
ref
6248
ref
nil
cons
cons
6132
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
67
ref
10
ref
403
ref
appTerm
6249
def
17
ref
appTerm
6250
def
nil
cons
6251
def
cons
68
ref
69
ref
6248
remove
appTerm
6129
remove
appTerm
nil
cons
6252
def
cons
nil
cons
6253
def
cons
nil
cons
cons
6254
def
85
ref
subst
6254
remove
138
ref
subst
2052
remove
152
ref
appTerm
6255
def
betaConv
2054
remove
nil
67
ref
2055
remove
nil
cons
cons
68
ref
6255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2053
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
343
ref
400
ref
17
ref
appTerm
6256
def
appTerm
6257
def
355
remove
152
ref
appTerm
361
remove
appTerm
6258
def
appTerm
6259
def
nil
cons
6260
def
cons
6261
def
6253
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
69
ref
6259
ref
appTerm
refl
151
ref
707
ref
400
ref
refl
6262
def
6250
ref
assume
6263
def
appThm
appThm
6247
ref
refl
6264
def
appThm
appThm
6128
ref
refl
6265
def
1463
ref
6263
ref
appThm
5065
ref
refl
6266
def
appThm
appThm
appThm
appThm
sym
nil
6261
remove
68
ref
69
ref
6257
remove
6247
ref
appTerm
appTerm
6128
ref
1476
ref
5065
ref
appTerm
6267
def
appTerm
6268
def
appTerm
nil
cons
6269
def
cons
nil
cons
cons
nil
cons
cons
6270
def
85
ref
subst
6270
remove
138
ref
subst
28
ref
"_29920"
328
ref
var
6271
def
69
ref
343
ref
6271
remove
varTerm
appTerm
6247
ref
appTerm
appTerm
6268
ref
appTerm
absTerm
6272
def
6256
remove
appTerm
6273
def
appTerm
refl
6272
ref
6258
ref
appTerm
betaConv
appThm
108
ref
6273
remove
betaConv
appThm
69
ref
343
ref
6258
remove
appTerm
6247
ref
appTerm
appTerm
6268
ref
appTerm
refl
appThm
trans
6272
remove
refl
6259
remove
assume
appThm
eqMp
sym
151
ref
nil
5017
ref
4740
ref
599
remove
154
ref
cons
cons
cons
nil
cons
cons
2642
ref
subst
57
ref
363
ref
196
ref
appTerm
6274
def
appTerm
6275
def
refl
nil
5019
ref
5020
ref
4743
remove
cons
cons
nil
cons
cons
2646
ref
subst
appThm
trans
appThm
6268
ref
refl
appThm
sym
nil
67
ref
6275
remove
57
ref
4747
ref
4970
ref
appTerm
6276
def
appTerm
6277
def
592
ref
3322
ref
appTerm
6278
def
appTerm
6279
def
appTerm
nil
cons
6280
def
cons
68
ref
6268
remove
nil
cons
6281
def
cons
nil
cons
cons
nil
cons
cons
6282
def
85
ref
subst
6282
remove
138
ref
subst
nil
104
ref
6274
remove
nil
cons
cons
106
ref
6279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
nil
104
ref
6276
ref
nil
cons
cons
6283
def
106
ref
6278
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6284
def
120
ref
subst
6284
remove
224
ref
subst
28
ref
"_29922"
1
ref
var
6285
def
1894
ref
390
ref
6285
remove
varTerm
appTerm
5023
ref
appTerm
appTerm
6267
ref
appTerm
absTerm
6286
def
4970
ref
appTerm
6287
def
appTerm
refl
6286
ref
359
ref
appTerm
betaConv
appThm
108
ref
6287
remove
betaConv
appThm
1894
ref
2604
ref
5023
ref
appTerm
appTerm
6288
def
6267
ref
appTerm
refl
appThm
trans
6286
remove
refl
6276
remove
assume
sym
6289
def
appThm
eqMp
sym
28
ref
"_29924"
1
ref
var
6290
def
1894
ref
2604
ref
398
ref
6290
remove
varTerm
appTerm
appTerm
appTerm
6267
ref
appTerm
absTerm
6291
def
3322
ref
appTerm
6292
def
appTerm
refl
6291
ref
17
ref
appTerm
betaConv
appThm
108
ref
6292
remove
betaConv
appThm
1894
ref
2604
ref
398
ref
17
ref
appTerm
appTerm
appTerm
6267
remove
appTerm
refl
appThm
trans
6291
remove
refl
6278
remove
assume
sym
appThm
eqMp
sym
1904
ref
2605
ref
nil
6167
ref
nil
cons
cons
2609
remove
subst
appThm
2615
remove
trans
appThm
nil
5083
remove
nil
cons
nil
cons
cons
1480
ref
subst
appThm
sym
5063
ref
nil
5068
ref
68
ref
2192
ref
5065
ref
appTerm
6293
def
nil
cons
6294
def
cons
nil
cons
6295
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
5073
ref
338
ref
5066
remove
refl
6263
remove
appThm
nil
6122
remove
nil
cons
cons
2614
ref
subst
trans
appThm
417
ref
appThm
appThm
nil
50
ref
10
ref
5065
ref
appTerm
200
ref
appTerm
6296
def
nil
cons
6297
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
6293
remove
refl
appThm
sym
nil
67
ref
6297
ref
cons
6295
remove
cons
nil
cons
cons
6298
def
85
ref
subst
6298
remove
138
ref
subst
28
ref
"_29926"
1
ref
var
6299
def
2192
remove
6299
remove
varTerm
appTerm
absTerm
5065
ref
appTerm
6300
def
appTerm
refl
5394
remove
appThm
108
ref
6300
remove
betaConv
appThm
2193
remove
refl
appThm
trans
5396
remove
6296
remove
assume
appThm
eqMp
sym
5397
remove
eqMp
eqMp
nil
104
ref
6297
remove
cons
106
ref
6294
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6280
remove
cons
106
ref
6281
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6260
remove
cons
106
ref
6269
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6251
ref
cons
106
ref
6252
ref
cons
nil
cons
6301
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
6249
ref
359
ref
appTerm
6302
def
nil
cons
6303
def
cons
6253
ref
cons
nil
cons
cons
6304
def
85
ref
subst
6304
remove
138
ref
subst
4566
remove
152
ref
appTerm
6305
def
betaConv
4577
remove
nil
67
ref
4578
remove
nil
cons
cons
68
ref
6305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4567
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5064
remove
343
ref
400
remove
359
ref
appTerm
6306
def
appTerm
6307
def
2162
ref
360
remove
367
ref
152
ref
appTerm
359
ref
appTerm
6308
def
appTerm
6309
def
appTerm
6310
def
appTerm
6311
def
appTerm
nil
cons
cons
6253
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
5073
ref
6311
ref
refl
appThm
nil
50
ref
6311
ref
nil
cons
6312
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
151
ref
707
ref
6262
remove
6302
remove
assume
6313
def
appThm
appThm
6264
remove
appThm
appThm
6265
remove
1463
ref
6313
remove
appThm
6266
remove
appThm
appThm
appThm
appThm
sym
nil
67
ref
6312
ref
cons
68
ref
69
ref
6307
remove
6247
ref
appTerm
appTerm
6128
remove
2604
ref
5065
remove
appTerm
6314
def
appTerm
6315
def
appTerm
nil
cons
6316
def
cons
nil
cons
cons
nil
cons
cons
6317
def
85
ref
subst
6317
remove
138
ref
subst
28
ref
"_29912"
328
ref
var
6318
def
69
ref
343
ref
6318
remove
varTerm
appTerm
6247
ref
appTerm
appTerm
6315
ref
appTerm
absTerm
6319
def
6306
remove
appTerm
6320
def
appTerm
refl
6319
ref
6310
ref
appTerm
betaConv
appThm
108
ref
6320
remove
betaConv
appThm
69
ref
343
remove
6310
remove
appTerm
6247
remove
appTerm
appTerm
6315
ref
appTerm
refl
appThm
trans
6319
remove
refl
6311
remove
assume
appThm
eqMp
sym
151
ref
nil
5017
remove
4740
remove
556
remove
6309
remove
nil
cons
cons
666
ref
cons
cons
cons
nil
cons
cons
2642
remove
subst
57
ref
4747
remove
196
ref
appTerm
6321
def
appTerm
6322
def
refl
nil
5019
remove
5020
remove
192
ref
6308
ref
nil
cons
6323
def
cons
666
remove
cons
cons
cons
nil
cons
cons
2646
remove
subst
appThm
trans
appThm
6315
ref
refl
appThm
sym
nil
67
ref
6322
remove
6277
remove
10
ref
6308
ref
appTerm
3322
ref
appTerm
6324
def
appTerm
6325
def
appTerm
nil
cons
6326
def
cons
68
ref
6315
remove
nil
cons
6327
def
cons
nil
cons
cons
nil
cons
cons
6328
def
85
ref
subst
6328
remove
138
ref
subst
nil
104
ref
6321
remove
nil
cons
cons
106
ref
6325
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
224
ref
subst
nil
6283
remove
106
ref
6324
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
6329
def
120
ref
subst
6329
remove
224
ref
subst
28
ref
"_29914"
1
ref
var
6330
def
1894
ref
390
ref
6330
remove
varTerm
appTerm
5023
remove
appTerm
appTerm
6314
ref
appTerm
absTerm
6331
def
4970
remove
appTerm
6332
def
appTerm
refl
6331
ref
359
ref
appTerm
betaConv
appThm
108
ref
6332
remove
betaConv
appThm
6288
remove
6314
ref
appTerm
refl
appThm
trans
6331
remove
refl
6289
remove
appThm
eqMp
sym
28
ref
"_29916"
1
ref
var
6333
def
1894
ref
2604
ref
398
ref
6333
remove
varTerm
appTerm
appTerm
appTerm
6314
ref
appTerm
absTerm
6334
def
3322
remove
appTerm
6335
def
appTerm
refl
6334
ref
6308
ref
appTerm
betaConv
appThm
108
ref
6335
remove
betaConv
appThm
1894
ref
2604
ref
398
remove
6308
ref
appTerm
6336
def
appTerm
appTerm
6314
remove
appTerm
refl
appThm
trans
6334
remove
refl
6324
remove
assume
sym
appThm
eqMp
sym
nil
6155
remove
436
ref
6336
remove
nil
cons
cons
2273
remove
cons
cons
nil
cons
cons
1530
ref
28
ref
1894
ref
1505
ref
appTerm
2364
ref
appTerm
appTerm
1929
ref
appTerm
absTerm
6337
def
1534
ref
appTerm
6338
def
betaConv
436
ref
65
ref
6337
ref
appTerm
6339
def
absTerm
6340
def
437
ref
appTerm
6341
def
betaConv
1419
ref
65
ref
6340
ref
appTerm
6342
def
absTerm
6343
def
1420
ref
appTerm
6344
def
betaConv
nil
65
ref
6343
ref
appTerm
6345
def
axiom
nil
67
ref
6345
remove
nil
cons
cons
68
ref
6344
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6343
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6342
remove
nil
cons
cons
68
ref
6341
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6340
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6339
remove
nil
cons
cons
68
ref
6338
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6337
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
1531
ref
436
ref
6323
remove
cons
6167
remove
cons
cons
nil
cons
cons
1530
ref
28
ref
1894
ref
1498
ref
appTerm
2995
ref
appTerm
appTerm
57
ref
418
ref
2196
ref
appTerm
6346
def
appTerm
1929
remove
appTerm
appTerm
absTerm
6347
def
1534
ref
appTerm
6348
def
betaConv
436
ref
65
ref
6347
ref
appTerm
6349
def
absTerm
6350
def
437
ref
appTerm
6351
def
betaConv
1419
ref
65
ref
6350
ref
appTerm
6352
def
absTerm
6353
def
1420
ref
appTerm
6354
def
betaConv
nil
65
ref
6353
ref
appTerm
6355
def
axiom
nil
67
ref
6355
remove
nil
cons
cons
68
ref
6354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6353
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6352
remove
nil
cons
cons
68
ref
6351
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6350
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6349
remove
nil
cons
cons
68
ref
6348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6347
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
58
ref
447
ref
nil
6242
remove
68
ref
28
ref
6178
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
6189
ref
nil
cons
nil
cons
cons
487
ref
subst
eqMp
appThm
490
ref
trans
appThm
1894
ref
6308
remove
appTerm
152
ref
appTerm
6356
def
refl
6357
def
appThm
nil
50
ref
6356
ref
nil
cons
6358
def
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
trans
sym
2199
remove
152
ref
appTerm
6359
def
betaConv
2202
remove
nil
2203
remove
68
ref
6359
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
2204
remove
261
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
600
ref
364
ref
appTerm
947
ref
436
ref
363
remove
1642
ref
appTerm
6360
def
absTerm
6361
def
appTerm
6362
def
appTerm
nil
cons
cons
68
ref
6358
ref
cons
nil
cons
6363
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
3099
remove
6362
ref
refl
appThm
nil
50
ref
6362
ref
nil
cons
cons
nil
cons
nil
cons
cons
2218
remove
subst
trans
appThm
6357
remove
appThm
sym
nil
5
ref
436
ref
69
ref
6361
ref
437
ref
appTerm
6364
def
appTerm
6356
ref
appTerm
6365
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6365
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6364
ref
nil
cons
6366
def
cons
6363
ref
cons
nil
cons
cons
6367
def
85
ref
subst
6367
remove
138
ref
subst
6364
ref
betaConv
6364
remove
assume
eqMp
nil
67
ref
6360
ref
nil
cons
6368
def
cons
6363
remove
cons
nil
cons
cons
6369
def
129
ref
subst
proveHyp
6369
ref
85
ref
subst
6369
remove
138
ref
subst
28
ref
"_29918"
1
ref
var
6370
def
1894
ref
367
ref
6370
remove
varTerm
6371
def
appTerm
359
ref
appTerm
appTerm
6371
remove
appTerm
absTerm
6372
def
152
ref
appTerm
6373
def
appTerm
refl
6372
ref
1642
ref
appTerm
betaConv
appThm
108
ref
6373
remove
betaConv
appThm
1894
ref
367
ref
1642
ref
appTerm
359
ref
appTerm
6374
def
appTerm
1642
ref
appTerm
refl
appThm
trans
6372
remove
refl
6360
remove
assume
appThm
eqMp
sym
1904
ref
436
ref
10
ref
6374
remove
appTerm
437
ref
appTerm
absTerm
6375
def
437
ref
appTerm
6376
def
betaConv
nil
65
ref
6375
ref
appTerm
6377
def
axiom
nil
67
ref
6377
remove
nil
cons
cons
68
ref
6376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6375
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
appThm
2254
remove
appThm
5999
remove
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
6368
remove
cons
106
ref
6358
remove
cons
nil
cons
6378
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6366
remove
cons
6378
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6361
ref
1710
ref
appTerm
appTerm
6356
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
6362
remove
appTerm
6356
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6361
remove
nil
cons
cons
6378
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6326
remove
cons
106
ref
6327
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6312
remove
cons
106
ref
6316
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6303
remove
cons
6379
def
6301
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2212
remove
6249
ref
refl
2358
remove
appThm
appThm
6250
remove
refl
appThm
1593
ref
403
ref
appTerm
6380
def
refl
2244
remove
appThm
nil
2230
remove
6134
ref
cons
nil
cons
cons
436
ref
28
ref
1594
ref
1642
ref
appTerm
appTerm
600
ref
2198
remove
appTerm
2376
ref
appTerm
appTerm
absTerm
6381
def
437
ref
appTerm
6382
def
betaConv
1419
ref
65
ref
6381
ref
appTerm
6383
def
absTerm
6384
def
1420
ref
appTerm
6385
def
betaConv
nil
65
ref
6384
ref
appTerm
6386
def
axiom
nil
67
ref
6386
remove
nil
cons
cons
68
ref
6385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6384
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6383
remove
nil
cons
cons
68
ref
6382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6381
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
600
ref
6249
remove
2304
remove
appTerm
appTerm
refl
nil
6134
ref
nil
cons
cons
1419
ref
28
ref
1594
ref
17
ref
appTerm
appTerm
2196
ref
appTerm
absTerm
6387
def
1420
ref
appTerm
6388
def
betaConv
nil
65
ref
6387
ref
appTerm
6389
def
axiom
nil
67
ref
6389
remove
nil
cons
cons
68
ref
6388
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6387
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
trans
trans
6135
remove
2409
remove
subst
1894
ref
403
ref
appTerm
refl
6112
remove
appThm
nil
2360
ref
6134
remove
cons
nil
cons
cons
436
ref
28
ref
1926
remove
1642
remove
appTerm
appTerm
2376
ref
appTerm
absTerm
6390
def
437
ref
appTerm
6391
def
betaConv
1419
ref
65
ref
6390
ref
appTerm
6392
def
absTerm
6393
def
1420
ref
appTerm
6394
def
betaConv
nil
65
ref
6393
ref
appTerm
6395
def
axiom
nil
67
ref
6395
remove
nil
cons
cons
68
ref
6394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6393
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6392
remove
nil
cons
cons
68
ref
6391
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6390
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6396
def
subst
trans
trans
6140
remove
assume
eqMp
6397
def
eqMp
eqMp
nil
6379
remove
106
ref
6251
remove
cons
612
ref
6252
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
104
ref
6241
ref
cons
6233
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
6188
ref
cons
6132
remove
cons
nil
cons
cons
6398
def
85
ref
subst
6398
remove
138
ref
subst
nil
2270
remove
457
ref
cons
nil
cons
cons
129
ref
subst
5963
remove
898
ref
subst
2275
remove
436
ref
28
ref
418
ref
1927
ref
appTerm
appTerm
2379
remove
appTerm
absTerm
6399
def
437
ref
appTerm
6400
def
betaConv
1419
ref
65
ref
6399
ref
appTerm
6401
def
absTerm
6402
def
1420
ref
appTerm
6403
def
betaConv
nil
65
ref
6402
ref
appTerm
6404
def
axiom
nil
67
ref
6404
remove
nil
cons
cons
68
ref
6403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6402
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6401
remove
nil
cons
cons
68
ref
6400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6399
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6405
def
subst
trans
sym
5063
remove
nil
5068
remove
68
ref
2821
remove
359
ref
appTerm
6406
def
nil
cons
6407
def
cons
nil
cons
6408
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
5073
remove
338
ref
1463
ref
929
remove
6178
ref
assume
appThm
1473
ref
appThm
appThm
1723
ref
appThm
appThm
417
ref
appThm
appThm
nil
50
ref
10
ref
390
ref
3411
remove
appTerm
403
ref
appTerm
appTerm
200
ref
appTerm
6409
def
nil
cons
6410
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
6406
remove
refl
appThm
sym
nil
67
ref
6410
ref
cons
6408
remove
cons
nil
cons
cons
6411
def
85
ref
subst
6411
remove
138
ref
subst
4909
ref
6409
remove
assume
sym
appThm
662
ref
appThm
sym
4909
ref
1463
ref
3412
remove
appThm
1723
ref
appThm
nil
6121
remove
nil
cons
nil
cons
cons
1480
ref
subst
trans
appThm
662
ref
appThm
nil
50
ref
6380
remove
359
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6397
remove
eqMp
trans
sym
55
ref
eqMp
eqMp
eqMp
nil
104
ref
6410
remove
cons
106
ref
6407
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6131
ref
cons
nil
cons
nil
cons
cons
486
ref
subst
proveHyp
eqMp
nil
6189
ref
6233
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
ref
6178
remove
appTerm
6412
def
betaConv
606
ref
nil
607
ref
68
ref
6412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
ref
608
ref
169
ref
6188
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
6189
remove
106
ref
6241
remove
cons
612
ref
6131
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6239
remove
cons
6233
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
6236
remove
cons
106
ref
6237
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
5130
remove
106
ref
6117
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
58
ref
nil
50
ref
6117
ref
cons
nil
cons
nil
cons
cons
56
ref
subst
6116
remove
assume
eqMp
appThm
6100
ref
refl
appThm
nil
50
ref
6100
remove
nil
cons
6413
def
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
436
ref
57
ref
6099
remove
437
ref
appTerm
appTerm
2378
ref
19
ref
appTerm
6414
def
appTerm
absTerm
6415
def
2976
ref
5053
remove
appTerm
6416
def
appTerm
betaConv
sym
58
ref
nil
1531
remove
5058
remove
5057
remove
nil
cons
cons
cons
nil
cons
cons
6154
ref
subst
nil
50
ref
6094
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
6088
remove
assume
eqMp
trans
appThm
1593
ref
6416
ref
appTerm
6417
def
19
ref
appTerm
6418
def
refl
appThm
nil
50
ref
6418
remove
nil
cons
6419
def
cons
nil
cons
nil
cons
cons
172
ref
subst
trans
sym
436
ref
57
ref
6417
ref
437
ref
appTerm
appTerm
6414
ref
appTerm
absTerm
6420
def
2976
remove
4871
remove
appTerm
6421
def
appTerm
betaConv
sym
nil
1530
ref
4940
remove
cons
5055
remove
3059
ref
cons
cons
nil
cons
cons
6166
remove
subst
nil
1925
ref
3058
remove
4934
remove
cons
cons
nil
cons
cons
6177
remove
subst
trans
sym
nil
67
ref
6117
remove
cons
68
ref
1593
ref
381
ref
appTerm
200
ref
appTerm
6422
def
nil
cons
6423
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1591
ref
2887
ref
cons
nil
cons
cons
6424
def
6187
ref
subst
eqMp
nil
4919
remove
106
ref
6423
ref
cons
nil
cons
cons
nil
cons
cons
4259
remove
subst
proveHyp
eqMp
nil
67
ref
6417
remove
6421
ref
appTerm
nil
cons
cons
68
ref
1593
ref
6421
ref
appTerm
19
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
4909
remove
nil
5103
remove
3059
remove
cons
nil
cons
cons
1521
ref
subst
appThm
821
ref
appThm
sym
4926
remove
nil
4929
remove
68
ref
1593
ref
5094
ref
appTerm
19
ref
appTerm
6425
def
nil
cons
6426
def
cons
nil
cons
6427
def
cons
nil
cons
cons
129
ref
subst
proveHyp
5097
remove
6425
remove
refl
appThm
sym
nil
5098
remove
6427
remove
cons
nil
cons
cons
6428
def
85
ref
subst
6428
remove
138
ref
subst
28
ref
"_29928"
1
ref
var
6429
def
1593
ref
6429
remove
varTerm
appTerm
19
ref
appTerm
absTerm
6430
def
5094
remove
appTerm
6431
def
appTerm
refl
6430
ref
19
ref
appTerm
betaConv
appThm
108
ref
6431
remove
betaConv
appThm
1606
remove
19
ref
appTerm
refl
appThm
trans
6430
remove
refl
5100
remove
appThm
eqMp
sym
1465
remove
nil
50
ref
2378
remove
437
ref
appTerm
6432
def
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
436
ref
6432
remove
absTerm
6433
def
437
ref
appTerm
6434
def
betaConv
nil
65
ref
6433
ref
appTerm
6435
def
axiom
nil
67
ref
6435
remove
nil
cons
cons
68
ref
6434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6433
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
subst
sym
55
ref
eqMp
eqMp
eqMp
nil
5129
remove
106
ref
6426
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
23
ref
5
ref
6420
ref
nil
cons
cons
130
ref
6421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6420
remove
appTerm
nil
cons
cons
68
ref
6419
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
3026
ref
1419
ref
6416
remove
nil
cons
6436
def
cons
nil
cons
cons
nil
cons
cons
1530
ref
69
ref
947
ref
436
ref
2377
remove
6156
remove
appTerm
6437
def
absTerm
6438
def
appTerm
6439
def
appTerm
6440
def
1594
remove
1534
ref
appTerm
6441
def
appTerm
6442
def
absTerm
6443
def
1534
ref
appTerm
6444
def
betaConv
1419
ref
65
ref
6443
ref
appTerm
6445
def
absTerm
6446
def
1420
ref
appTerm
6447
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
69
ref
6437
ref
appTerm
6441
ref
appTerm
absTerm
6448
def
appTerm
6449
def
absTerm
6450
def
appTerm
6451
def
absTerm
6452
def
appTerm
6453
def
axiom
nil
67
ref
6453
ref
nil
cons
6454
def
cons
6455
def
68
ref
65
ref
6446
ref
appTerm
nil
cons
6456
def
cons
nil
cons
cons
nil
cons
cons
6457
def
129
ref
subst
proveHyp
6457
ref
85
ref
subst
6457
remove
138
ref
subst
nil
5
ref
6446
remove
nil
cons
cons
6458
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
6445
remove
nil
cons
6459
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6443
remove
nil
cons
cons
6460
def
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
6442
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6439
remove
nil
cons
6461
def
cons
6462
def
68
ref
6441
ref
nil
cons
6463
def
cons
nil
cons
6464
def
cons
nil
cons
cons
6465
def
85
ref
subst
6465
remove
138
ref
subst
nil
6455
ref
6464
ref
cons
nil
cons
cons
6466
def
129
ref
subst
nil
6462
remove
68
ref
69
ref
6453
remove
appTerm
6441
remove
appTerm
6467
def
nil
cons
6468
def
cons
nil
cons
6469
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
436
ref
69
ref
6438
ref
437
ref
appTerm
6470
def
appTerm
6467
ref
appTerm
6471
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6471
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6470
ref
nil
cons
6472
def
cons
6469
ref
cons
nil
cons
cons
6473
def
85
ref
subst
6473
remove
138
ref
subst
6470
ref
betaConv
6470
remove
assume
eqMp
nil
67
ref
6437
remove
nil
cons
6474
def
cons
6475
def
6469
remove
cons
nil
cons
cons
6476
def
129
ref
subst
proveHyp
6476
ref
85
ref
subst
6476
remove
138
ref
subst
6466
ref
85
ref
subst
6466
remove
138
ref
subst
nil
6475
remove
6464
remove
cons
nil
cons
cons
129
ref
subst
6448
ref
1534
ref
appTerm
6477
def
betaConv
6450
ref
437
ref
appTerm
6478
def
betaConv
6452
ref
1420
ref
appTerm
6479
def
betaConv
nil
6455
remove
68
ref
6479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6452
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6451
remove
nil
cons
cons
68
ref
6478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6450
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6449
remove
nil
cons
cons
68
ref
6477
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6448
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6454
remove
cons
6480
def
106
ref
6463
remove
cons
nil
cons
6481
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
104
ref
6474
remove
cons
106
ref
6468
remove
cons
nil
cons
6482
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6472
remove
cons
6482
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6438
ref
1710
ref
appTerm
appTerm
6467
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6440
remove
6467
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6438
remove
nil
cons
cons
6482
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6461
remove
cons
6481
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6480
remove
106
ref
6456
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6456
remove
cons
68
ref
6447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6458
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6459
remove
cons
68
ref
6444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6460
remove
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
23
ref
5
ref
6415
ref
nil
cons
cons
130
ref
6436
remove
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6415
remove
appTerm
nil
cons
cons
68
ref
6413
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
3026
ref
1419
ref
6098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6232
remove
subst
eqMp
eqMp
proveHyp
eqMp
proveHyp
proveHyp
eqMp
nil
2657
remove
106
ref
6101
ref
cons
nil
cons
6483
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2660
remove
6102
remove
cons
nil
cons
cons
6484
def
85
ref
subst
6484
remove
138
ref
subst
920
remove
nil
67
ref
756
remove
152
ref
appTerm
nil
cons
6485
def
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
50
ref
6485
remove
cons
nil
cons
nil
cons
cons
898
ref
subst
447
ref
338
ref
406
remove
refl
2673
remove
appThm
4573
remove
trans
appThm
1473
remove
appThm
447
ref
592
remove
152
ref
appTerm
6486
def
assume
sym
364
remove
assume
sym
deductAntisym
appThm
727
remove
assume
eqMp
nil
67
ref
418
ref
6486
ref
appTerm
nil
cons
cons
68
ref
28
ref
6486
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
6486
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
ref
subst
eqMp
trans
appThm
490
ref
trans
trans
sym
55
ref
eqMp
eqMp
nil
104
ref
6101
ref
cons
nil
cons
nil
cons
cons
486
ref
subst
proveHyp
eqMp
nil
2694
ref
6483
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2696
remove
nil
2694
remove
2697
remove
612
ref
6101
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
5131
remove
6062
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
6090
remove
cons
106
ref
6091
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
5132
remove
106
ref
6071
remove
cons
nil
cons
6487
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
5134
remove
6487
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
5135
remove
6070
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
5136
remove
6070
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5137
remove
6487
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
5138
remove
6487
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
5139
remove
6070
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
5140
remove
6070
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5141
remove
6487
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
5142
remove
6487
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
1711
remove
6070
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
1712
remove
6070
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
1713
remove
6487
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6064
remove
cons
6063
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
67
ref
57
ref
5903
remove
appTerm
5924
remove
appTerm
nil
cons
cons
68
ref
65
ref
5579
ref
appTerm
6488
def
nil
cons
6489
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
58
ref
149
ref
6
ref
6
ref
5577
ref
absTerm
6490
def
19
ref
appTerm
betaConv
6491
def
921
ref
appThm
5577
ref
17
ref
appTerm
betaConv
trans
absThm
appThm
appThm
58
ref
149
ref
6
ref
149
ref
192
ref
1718
remove
6491
remove
417
ref
appThm
5577
ref
200
ref
appTerm
6492
def
betaConv
6493
def
trans
6494
def
appThm
absThm
appThm
absThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
149
ref
150
ref
151
ref
1720
remove
1721
remove
1722
remove
6490
ref
152
ref
appTerm
betaConv
1723
remove
appThm
192
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
5153
remove
5556
remove
5910
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
403
remove
appTerm
betaConv
trans
appThm
appThm
appThm
appThm
6494
ref
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
149
ref
6
ref
149
ref
192
ref
6494
remove
absThm
appThm
absThm
appThm
appThm
nil
1725
ref
6490
remove
nil
cons
cons
nil
cons
nil
cons
cons
2042
ref
subst
eqMp
eqMp
6495
def
nil
67
ref
6489
remove
cons
6496
def
68
ref
5580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5579
ref
nil
cons
cons
6497
def
130
ref
5476
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5567
ref
appTerm
nil
cons
cons
68
ref
5568
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5567
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5566
remove
nil
cons
cons
68
ref
5565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5564
remove
nil
cons
cons
130
ref
5519
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
5562
ref
appTerm
nil
cons
cons
68
ref
5563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5562
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5561
remove
nil
cons
cons
68
ref
5560
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5559
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6498
def
nil
67
ref
5558
remove
nil
cons
cons
6499
def
68
ref
5515
ref
cons
nil
cons
6500
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
58
ref
447
ref
5470
remove
appThm
490
ref
trans
appThm
707
ref
5518
ref
appThm
5479
ref
refl
appThm
nil
945
ref
5479
remove
nil
cons
cons
nil
cons
nil
cons
cons
4710
ref
subst
trans
appThm
186
ref
trans
appThm
5557
ref
refl
appThm
nil
50
ref
5557
remove
nil
cons
6501
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
6502
def
5514
remove
refl
appThm
sym
nil
67
ref
6501
ref
cons
6503
def
6500
remove
cons
nil
cons
cons
6504
def
85
ref
subst
6504
remove
138
ref
subst
nil
104
ref
5555
ref
nil
cons
6505
def
cons
6506
def
106
ref
5515
remove
cons
nil
cons
6507
def
cons
nil
cons
cons
6508
def
224
ref
subst
eqMp
nil
104
ref
6501
remove
cons
6509
def
6507
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
104
ref
5507
remove
cons
6510
def
106
ref
5495
remove
cons
nil
cons
6511
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
5503
remove
cons
6512
def
6511
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
5484
ref
1710
ref
appTerm
appTerm
6513
def
5491
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
5485
remove
appTerm
6514
def
5491
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5484
remove
nil
cons
cons
6515
def
6511
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
5493
remove
cons
6516
def
6511
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
5486
ref
1710
ref
appTerm
appTerm
6517
def
5491
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
5487
remove
appTerm
6518
def
5491
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5486
remove
nil
cons
cons
6519
def
6511
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
5439
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
378
ref
65
ref
379
ref
65
ref
190
ref
69
ref
57
ref
10
ref
3758
remove
196
ref
appTerm
appTerm
2899
ref
appTerm
6520
def
appTerm
268
ref
appTerm
6521
def
appTerm
217
ref
appTerm
6522
def
absTerm
6523
def
appTerm
6524
def
absTerm
6525
def
appTerm
6526
def
absTerm
6527
def
appTerm
6528
def
absTerm
6529
def
appTerm
6530
def
absTerm
6531
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6530
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6529
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6528
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6527
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6526
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6525
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6524
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6523
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6522
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6521
remove
nil
cons
6532
def
cons
219
ref
cons
nil
cons
cons
6533
def
85
ref
subst
6533
remove
138
ref
subst
nil
104
ref
6520
ref
nil
cons
cons
106
ref
269
remove
cons
nil
cons
6534
def
cons
nil
cons
cons
6535
def
120
ref
subst
6535
remove
224
ref
subst
nil
222
remove
106
ref
225
remove
cons
nil
cons
cons
nil
cons
cons
6536
def
120
ref
subst
6537
def
6536
remove
224
ref
subst
6538
def
338
ref
661
remove
appThm
4745
ref
appThm
sym
378
ref
947
ref
379
ref
57
ref
10
ref
3867
remove
196
ref
appTerm
appTerm
3278
remove
appTerm
appTerm
202
remove
198
remove
appTerm
6539
def
appTerm
absTerm
appTerm
absTerm
6540
def
383
ref
appTerm
betaConv
sym
3321
remove
57
ref
10
ref
390
ref
3323
remove
19
ref
appTerm
appTerm
196
ref
appTerm
appTerm
2899
ref
appTerm
appTerm
6539
remove
appTerm
absTerm
6541
def
381
ref
appTerm
betaConv
sym
58
ref
338
ref
6520
remove
assume
appThm
4244
remove
appThm
nil
130
ref
3072
remove
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
appThm
58
ref
266
remove
appThm
6542
def
264
remove
appThm
186
ref
trans
appThm
186
ref
trans
sym
55
ref
eqMp
eqMp
23
ref
5
ref
6541
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
6540
ref
nil
cons
cons
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6540
remove
appTerm
nil
cons
cons
68
ref
813
remove
196
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
632
remove
190
ref
69
ref
947
ref
378
ref
947
ref
379
ref
57
ref
4705
ref
appTerm
268
ref
appTerm
6543
def
absTerm
6544
def
appTerm
6545
def
absTerm
6546
def
appTerm
6547
def
appTerm
6548
def
217
ref
appTerm
6549
def
absTerm
6550
def
196
ref
appTerm
6551
def
betaConv
192
ref
65
ref
6550
ref
appTerm
6552
def
absTerm
6553
def
200
ref
appTerm
6554
def
betaConv
6
ref
65
ref
6553
ref
appTerm
6555
def
absTerm
6556
def
19
ref
appTerm
6557
def
betaConv
nil
5
ref
6
ref
65
ref
192
ref
65
ref
378
ref
65
ref
379
ref
65
ref
190
ref
69
ref
6543
ref
appTerm
217
ref
appTerm
6558
def
absTerm
6559
def
appTerm
6560
def
absTerm
6561
def
appTerm
6562
def
absTerm
6563
def
appTerm
6564
def
absTerm
6565
def
appTerm
6566
def
absTerm
6567
def
nil
cons
cons
6568
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6566
remove
nil
cons
6569
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6565
ref
nil
cons
cons
6570
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6564
remove
nil
cons
6571
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6563
ref
nil
cons
cons
6572
def
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6562
remove
nil
cons
6573
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6561
ref
nil
cons
cons
6574
def
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6560
remove
nil
cons
6575
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6559
ref
nil
cons
cons
6576
def
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6558
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6543
remove
nil
cons
6577
def
cons
6578
def
219
ref
cons
nil
cons
cons
6579
def
85
ref
subst
6579
ref
138
ref
subst
nil
104
ref
4707
remove
cons
6534
ref
cons
nil
cons
cons
6580
def
120
ref
subst
6580
remove
224
ref
subst
6537
ref
6538
ref
378
ref
947
ref
379
ref
57
ref
3287
remove
196
ref
appTerm
6581
def
appTerm
6582
def
268
remove
appTerm
6583
def
absTerm
6584
def
appTerm
6585
def
absTerm
6586
def
381
ref
appTerm
6587
def
betaConv
6588
def
sym
6584
ref
383
ref
appTerm
6589
def
betaConv
6590
def
sym
6582
remove
refl
267
remove
appThm
nil
50
ref
6581
ref
nil
cons
6591
def
cons
nil
cons
nil
cons
cons
311
ref
subst
trans
sym
28
ref
"_29538"
1
ref
var
6592
def
10
ref
2878
ref
6592
remove
varTerm
appTerm
2899
ref
appTerm
appTerm
196
ref
appTerm
absTerm
6593
def
2897
ref
appTerm
6594
def
appTerm
refl
6593
ref
4703
ref
appTerm
betaConv
appThm
108
ref
6594
remove
betaConv
appThm
10
ref
2878
ref
4703
remove
appTerm
2899
ref
appTerm
appTerm
196
ref
appTerm
refl
appThm
trans
6593
remove
refl
4705
ref
assume
sym
appThm
eqMp
sym
nil
4746
remove
4240
ref
cons
nil
cons
cons
436
ref
10
ref
2878
remove
1505
remove
appTerm
1420
ref
appTerm
appTerm
437
ref
appTerm
absTerm
6595
def
437
ref
appTerm
6596
def
betaConv
1419
ref
65
ref
6595
ref
appTerm
6597
def
absTerm
6598
def
1420
ref
appTerm
6599
def
betaConv
nil
65
ref
6598
ref
appTerm
6600
def
axiom
nil
67
ref
6600
remove
nil
cons
cons
68
ref
6599
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6598
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6597
remove
nil
cons
cons
68
ref
6596
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6595
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
23
ref
5
ref
6584
ref
nil
cons
cons
6601
def
1391
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
23
ref
5
ref
6586
ref
nil
cons
cons
6602
def
1390
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6586
ref
appTerm
6603
def
nil
cons
6604
def
cons
6605
def
219
ref
cons
nil
cons
cons
6606
def
129
ref
subst
proveHyp
190
ref
69
ref
6603
remove
appTerm
6607
def
217
ref
appTerm
6608
def
absTerm
6609
def
196
ref
appTerm
6610
def
betaConv
192
ref
65
ref
6609
ref
appTerm
6611
def
absTerm
6612
def
200
ref
appTerm
6613
def
betaConv
6
ref
65
ref
6612
ref
appTerm
6614
def
absTerm
6615
def
19
ref
appTerm
6616
def
betaConv
nil
5
ref
6
ref
65
ref
192
ref
65
ref
378
ref
65
ref
379
ref
65
ref
190
ref
69
ref
6583
ref
appTerm
217
ref
appTerm
6617
def
absTerm
6618
def
appTerm
6619
def
absTerm
6620
def
appTerm
6621
def
absTerm
6622
def
appTerm
6623
def
absTerm
6624
def
appTerm
6625
def
absTerm
6626
def
nil
cons
cons
6627
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6625
remove
nil
cons
6628
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6624
ref
nil
cons
cons
6629
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6623
remove
nil
cons
6630
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6622
ref
nil
cons
cons
6631
def
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6621
remove
nil
cons
6632
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6620
ref
nil
cons
cons
6633
def
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6619
remove
nil
cons
6634
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6618
ref
nil
cons
cons
6635
def
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6617
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6583
remove
nil
cons
6636
def
cons
6637
def
219
ref
cons
nil
cons
cons
6638
def
85
ref
subst
6638
ref
138
ref
subst
nil
104
ref
6591
remove
cons
6534
remove
cons
nil
cons
cons
6639
def
120
ref
subst
6639
remove
224
ref
subst
6537
remove
6538
remove
265
remove
6542
remove
210
remove
refl
appThm
nil
50
ref
226
remove
cons
nil
cons
nil
cons
cons
172
ref
subst
6640
def
trans
appThm
6640
remove
trans
sym
nil
260
remove
nil
cons
nil
cons
cons
49
ref
subst
150
ref
nil
50
ref
208
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
641
remove
68
ref
207
remove
nil
cons
6641
def
cons
nil
cons
6642
def
cons
nil
cons
cons
6643
def
85
ref
subst
6643
remove
138
ref
subst
648
remove
649
remove
192
ref
654
remove
288
remove
196
ref
appTerm
appTerm
absTerm
6644
def
215
ref
appTerm
betaConv
sym
58
ref
3410
remove
58
ref
653
remove
appThm
651
remove
appThm
186
ref
trans
trans
appThm
255
remove
refl
appThm
nil
50
ref
256
remove
cons
nil
cons
nil
cons
cons
172
remove
subst
trans
sym
28
ref
4096
remove
196
ref
appTerm
6645
def
appTerm
refl
4097
remove
appThm
108
ref
6645
remove
betaConv
appThm
4098
remove
appThm
trans
4099
remove
6581
remove
assume
sym
appThm
eqMp
sym
4101
remove
eqMp
eqMp
eqMp
23
ref
5
ref
6644
ref
nil
cons
cons
2712
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
6644
remove
appTerm
nil
cons
cons
6642
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
271
remove
154
remove
cons
nil
cons
cons
2147
remove
subst
eqMp
proveHyp
proveHyp
eqMp
nil
655
remove
106
ref
6641
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
220
remove
129
ref
subst
proveHyp
300
ref
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6636
remove
cons
6646
def
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6647
def
nil
67
ref
65
ref
6626
ref
appTerm
6648
def
nil
cons
6649
def
cons
6650
def
68
ref
65
ref
6615
ref
appTerm
nil
cons
6651
def
cons
nil
cons
cons
nil
cons
cons
6652
def
129
ref
subst
proveHyp
6652
ref
85
ref
subst
6652
remove
138
ref
subst
nil
5
ref
6615
remove
nil
cons
cons
6653
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6614
remove
nil
cons
6654
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6612
remove
nil
cons
cons
6655
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6611
remove
nil
cons
6656
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6609
remove
nil
cons
cons
6657
def
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6608
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6606
ref
85
ref
subst
6606
remove
138
ref
subst
nil
6650
ref
219
ref
cons
nil
cons
cons
6658
def
129
ref
subst
nil
6605
remove
68
ref
69
ref
6648
ref
appTerm
217
ref
appTerm
6659
def
nil
cons
6660
def
cons
nil
cons
6661
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
378
ref
69
ref
6587
ref
appTerm
6659
ref
appTerm
6662
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6662
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6587
ref
nil
cons
6663
def
cons
6661
ref
cons
nil
cons
cons
6664
def
85
ref
subst
6664
remove
138
ref
subst
6588
remove
6587
remove
assume
eqMp
nil
67
ref
6585
ref
nil
cons
cons
6661
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
6589
ref
appTerm
6659
ref
appTerm
6665
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6665
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6589
ref
nil
cons
6666
def
cons
6661
ref
cons
nil
cons
cons
6667
def
85
ref
subst
6667
remove
138
ref
subst
6590
remove
6589
remove
assume
eqMp
nil
6637
remove
6661
remove
cons
nil
cons
cons
6668
def
129
ref
subst
proveHyp
6668
ref
85
ref
subst
6668
remove
138
ref
subst
6658
ref
85
ref
subst
6658
remove
138
ref
subst
6638
remove
129
ref
subst
6618
remove
196
ref
appTerm
6669
def
betaConv
6620
remove
383
ref
appTerm
6670
def
betaConv
6622
remove
381
ref
appTerm
6671
def
betaConv
6624
remove
200
ref
appTerm
6672
def
betaConv
6626
remove
19
ref
appTerm
6673
def
betaConv
nil
6650
remove
68
ref
6673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
6627
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6628
remove
cons
68
ref
6672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6629
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6630
remove
cons
68
ref
6671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6631
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6632
remove
cons
68
ref
6670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6633
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6634
remove
cons
68
ref
6669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6635
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6649
remove
cons
6674
def
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
6646
remove
106
ref
6660
remove
cons
nil
cons
6675
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6666
remove
cons
6675
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6584
remove
1710
ref
appTerm
appTerm
6659
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
6585
remove
appTerm
6659
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6601
remove
6675
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
6663
remove
cons
6675
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6586
remove
1710
ref
appTerm
appTerm
6659
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6607
remove
6659
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6602
remove
6675
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6604
remove
cons
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6674
remove
106
ref
6651
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6651
remove
cons
68
ref
6616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6653
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6654
remove
cons
68
ref
6613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6655
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6656
remove
cons
68
ref
6610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6657
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6577
remove
cons
6676
def
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
6677
def
nil
67
ref
65
ref
6567
ref
appTerm
6678
def
nil
cons
6679
def
cons
6680
def
68
ref
65
ref
6556
ref
appTerm
nil
cons
6681
def
cons
nil
cons
cons
nil
cons
cons
6682
def
129
ref
subst
proveHyp
6682
ref
85
ref
subst
6682
remove
138
ref
subst
nil
5
ref
6556
remove
nil
cons
cons
6683
def
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6555
remove
nil
cons
6684
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6553
remove
nil
cons
cons
6685
def
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6552
remove
nil
cons
6686
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6550
remove
nil
cons
cons
6687
def
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6549
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6547
remove
nil
cons
6688
def
cons
6689
def
219
ref
cons
nil
cons
cons
6690
def
85
ref
subst
6690
remove
138
ref
subst
nil
6680
ref
219
remove
cons
nil
cons
cons
6691
def
129
ref
subst
nil
6689
remove
68
ref
69
ref
6678
ref
appTerm
217
ref
appTerm
6692
def
nil
cons
6693
def
cons
nil
cons
6694
def
cons
nil
cons
cons
129
ref
subst
nil
5
ref
378
ref
69
ref
6546
ref
381
ref
appTerm
6695
def
appTerm
6692
ref
appTerm
6696
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6696
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6695
ref
nil
cons
6697
def
cons
6694
ref
cons
nil
cons
cons
6698
def
85
ref
subst
6698
remove
138
ref
subst
6695
ref
betaConv
6695
remove
assume
eqMp
nil
67
ref
6545
ref
nil
cons
cons
6694
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
6544
ref
383
ref
appTerm
6699
def
appTerm
6692
ref
appTerm
6700
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6700
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6699
ref
nil
cons
6701
def
cons
6694
ref
cons
nil
cons
cons
6702
def
85
ref
subst
6702
remove
138
ref
subst
6699
ref
betaConv
6699
remove
assume
eqMp
nil
6578
remove
6694
remove
cons
nil
cons
cons
6703
def
129
ref
subst
proveHyp
6703
ref
85
ref
subst
6703
remove
138
ref
subst
6691
ref
85
ref
subst
6691
remove
138
ref
subst
6579
remove
129
ref
subst
6559
remove
196
ref
appTerm
6704
def
betaConv
6561
remove
383
ref
appTerm
6705
def
betaConv
6563
remove
381
ref
appTerm
6706
def
betaConv
6565
remove
200
ref
appTerm
6707
def
betaConv
6567
remove
19
ref
appTerm
6708
def
betaConv
nil
6680
remove
68
ref
6708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
6568
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6569
remove
cons
68
ref
6707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6570
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6571
remove
cons
68
ref
6706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6572
remove
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6573
remove
cons
68
ref
6705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6574
remove
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6575
remove
cons
68
ref
6704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6576
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6679
remove
cons
6709
def
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
6676
remove
106
ref
6693
remove
cons
nil
cons
6710
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6701
remove
cons
6710
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6544
ref
1710
ref
appTerm
appTerm
6692
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
6545
remove
appTerm
6692
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6544
remove
nil
cons
cons
6710
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
6697
remove
cons
6710
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
6546
ref
1710
ref
appTerm
appTerm
6692
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6548
remove
6692
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6546
remove
nil
cons
cons
6710
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6688
remove
cons
299
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
6709
remove
106
ref
6681
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
6681
remove
cons
68
ref
6557
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6683
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6684
remove
cons
68
ref
6554
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6685
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6686
remove
cons
68
ref
6551
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6687
remove
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6532
remove
cons
299
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
6531
remove
appTerm
thm
6677
remove
nil
6678
remove
thm
6647
remove
nil
6648
remove
thm
nil
5
ref
5427
ref
65
ref
192
ref
6
ref
5428
ref
5429
ref
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
5430
ref
5555
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
345
ref
appTerm
absTerm
6711
def
5435
ref
appTerm
6712
def
absTerm
6713
def
appTerm
6714
def
absTerm
6715
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
ref
nil
50
ref
6714
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6713
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6712
remove
nil
cons
6716
def
cons
nil
cons
nil
cons
cons
56
ref
subst
5457
ref
nil
5458
ref
68
ref
6716
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
5488
ref
6711
ref
refl
5464
ref
appThm
appThm
sym
nil
5
ref
378
ref
5490
ref
6711
remove
5476
ref
appTerm
6717
def
appTerm
6718
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6718
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5494
ref
68
ref
6717
ref
nil
cons
6719
def
cons
nil
cons
6720
def
cons
nil
cons
cons
6721
def
85
ref
subst
6721
remove
138
ref
subst
5498
ref
nil
5499
ref
6720
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
5501
ref
6717
ref
appTerm
6722
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6722
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5504
ref
6720
ref
cons
nil
cons
cons
6723
def
85
ref
subst
6723
remove
138
ref
subst
5506
ref
nil
5508
ref
6720
remove
cons
nil
cons
cons
6724
def
129
ref
subst
proveHyp
6724
ref
85
ref
subst
6724
remove
138
ref
subst
5511
ref
6717
ref
betaConv
5512
ref
5429
ref
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
5430
ref
refl
nil
50
ref
6505
ref
cons
nil
cons
nil
cons
cons
1162
ref
"t"
30
remove
var
varTerm
refl
subst
subst
6725
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
5518
ref
appThm
5520
ref
379
ref
28
ref
5428
ref
"_30078"
341
ref
var
6726
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
6726
remove
varTerm
385
ref
appTerm
appTerm
5555
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6727
def
appTerm
6728
def
385
ref
appTerm
appTerm
5555
ref
appTerm
absTerm
6729
def
383
ref
appTerm
6730
def
betaConv
378
ref
65
ref
6729
ref
appTerm
6731
def
absTerm
6732
def
381
ref
appTerm
6733
def
betaConv
190
ref
65
ref
6732
ref
appTerm
6734
def
absTerm
6735
def
196
ref
appTerm
6736
def
betaConv
6727
ref
6728
remove
appTerm
6737
def
betaConv
6727
ref
"_30076"
328
ref
var
6738
def
1894
ref
1052
ref
1057
ref
6738
remove
varTerm
appTerm
appTerm
appTerm
5554
ref
appTerm
absTerm
6739
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
6739
ref
385
ref
appTerm
6740
def
appTerm
5555
ref
appTerm
6741
def
absTerm
6742
def
appTerm
6743
def
absTerm
6744
def
appTerm
6745
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6745
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6744
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6743
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6742
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6741
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6740
remove
betaConv
28
ref
"_30072"
1
ref
var
6746
def
5555
remove
absTerm
383
ref
appTerm
6747
def
appTerm
refl
6746
ref
1894
ref
1078
ref
appTerm
5554
ref
appTerm
6748
def
absTerm
6749
def
1082
ref
appTerm
betaConv
appThm
108
ref
6747
remove
betaConv
appThm
6748
remove
refl
appThm
trans
1852
ref
"_30071"
1
ref
var
6750
def
6746
remove
1894
ref
6750
remove
varTerm
appTerm
5554
remove
appTerm
absTerm
absTerm
6751
def
381
ref
appTerm
6752
def
appTerm
refl
6751
ref
1078
ref
appTerm
betaConv
appThm
1856
ref
6752
remove
betaConv
appThm
6749
remove
refl
appThm
trans
6751
remove
refl
1376
ref
appThm
eqMp
1381
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
5543
ref
5544
ref
6727
ref
nil
cons
6753
def
cons
5546
ref
6739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
5547
ref
6727
remove
appTerm
nil
cons
cons
68
ref
6737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5548
ref
6753
remove
cons
nil
cons
nil
cons
cons
5549
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6735
ref
appTerm
nil
cons
cons
68
ref
6736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6735
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6734
remove
nil
cons
cons
68
ref
6733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6732
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6731
remove
nil
cons
cons
68
ref
6730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6729
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
trans
sym
6498
remove
nil
6499
remove
68
ref
6505
ref
cons
nil
cons
6754
def
cons
nil
cons
cons
129
ref
subst
proveHyp
6502
remove
6725
remove
appThm
sym
nil
6503
remove
6754
remove
cons
nil
cons
cons
6755
def
85
ref
subst
6755
remove
138
ref
subst
6508
remove
120
ref
subst
eqMp
nil
6509
remove
106
ref
6505
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
6510
ref
106
ref
6719
remove
cons
nil
cons
6756
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6512
ref
6756
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
6513
ref
6717
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6514
ref
6717
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6515
ref
6756
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
6516
ref
6756
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
6517
ref
6717
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6518
ref
6717
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6519
ref
6756
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
6715
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
190
ref
69
ref
212
remove
appTerm
217
remove
appTerm
6757
def
absTerm
6758
def
appTerm
6759
def
absTerm
6760
def
appTerm
6761
def
absTerm
6762
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6761
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6760
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6759
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6758
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6757
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
300
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
6762
remove
appTerm
thm
5154
remove
nil
5146
remove
thm
nil
5
ref
5427
ref
65
ref
192
ref
6
ref
5428
ref
5429
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
5430
remove
4705
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
345
ref
appTerm
absTerm
6763
def
5435
ref
appTerm
6764
def
absTerm
6765
def
appTerm
6766
def
absTerm
6767
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
ref
nil
50
ref
6766
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6765
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6764
remove
nil
cons
6768
def
cons
nil
cons
nil
cons
cons
56
ref
subst
5457
remove
nil
5458
remove
68
ref
6768
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
5488
remove
6763
ref
refl
5464
remove
appThm
appThm
sym
nil
5
ref
378
ref
5490
remove
6763
remove
5476
ref
appTerm
6769
def
appTerm
6770
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6770
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5494
remove
68
ref
6769
ref
nil
cons
6771
def
cons
nil
cons
6772
def
cons
nil
cons
cons
6773
def
85
ref
subst
6773
remove
138
ref
subst
5498
remove
nil
5499
remove
6772
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
5501
remove
6769
ref
appTerm
6774
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6774
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5504
remove
6772
ref
cons
nil
cons
cons
6775
def
85
ref
subst
6775
remove
138
ref
subst
5506
remove
nil
5508
remove
6772
remove
cons
nil
cons
cons
6776
def
129
ref
subst
proveHyp
6776
ref
85
ref
subst
6776
remove
138
ref
subst
5511
remove
5510
remove
224
ref
subst
6769
ref
betaConv
5512
remove
"_30058"
341
remove
var
6777
def
149
ref
190
ref
149
ref
378
ref
149
ref
379
ref
nil
2801
remove
4704
remove
5481
ref
appTerm
6778
def
nil
cons
cons
2802
remove
6777
ref
varTerm
385
ref
appTerm
6779
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
5517
remove
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
5518
remove
appThm
5520
remove
379
ref
28
ref
5428
remove
6777
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
6779
remove
appTerm
6778
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6780
def
appTerm
6781
def
385
ref
appTerm
appTerm
6778
ref
appTerm
absTerm
6782
def
383
ref
appTerm
6783
def
betaConv
378
ref
65
ref
6782
ref
appTerm
6784
def
absTerm
6785
def
381
ref
appTerm
6786
def
betaConv
190
ref
65
ref
6785
ref
appTerm
6787
def
absTerm
6788
def
196
ref
appTerm
6789
def
betaConv
6780
ref
6781
remove
appTerm
6790
def
betaConv
6780
ref
"_30056"
328
ref
var
6791
def
10
ref
390
ref
392
ref
1059
ref
1057
ref
6791
remove
varTerm
6792
def
appTerm
6793
def
appTerm
appTerm
200
ref
appTerm
appTerm
1044
remove
6792
remove
appTerm
appTerm
appTerm
392
ref
1052
ref
6793
remove
appTerm
appTerm
5476
ref
appTerm
appTerm
absTerm
6794
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
28
ref
6794
ref
385
ref
appTerm
6795
def
appTerm
6778
remove
appTerm
6796
def
absTerm
6797
def
appTerm
6798
def
absTerm
6799
def
appTerm
6800
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
6800
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6799
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6798
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6797
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6796
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6795
remove
betaConv
28
ref
"_30052"
1
ref
var
6801
def
10
ref
390
ref
392
ref
6801
ref
varTerm
appTerm
200
ref
appTerm
appTerm
6802
def
196
ref
appTerm
appTerm
6803
def
5481
ref
appTerm
absTerm
383
ref
appTerm
6804
def
appTerm
refl
6801
ref
10
ref
6802
ref
1075
ref
appTerm
appTerm
6805
def
5225
remove
5476
ref
appTerm
6806
def
appTerm
absTerm
6807
def
1082
ref
appTerm
betaConv
appThm
108
ref
6804
remove
betaConv
appThm
10
ref
390
ref
392
ref
1082
ref
appTerm
200
ref
appTerm
appTerm
1075
ref
appTerm
appTerm
6806
remove
appTerm
refl
appThm
trans
1852
remove
"_30051"
1
ref
var
6808
def
6801
ref
6803
remove
392
ref
6808
ref
varTerm
appTerm
5476
remove
appTerm
6809
def
appTerm
absTerm
absTerm
381
ref
appTerm
6810
def
appTerm
refl
6808
ref
6801
ref
6805
remove
6809
ref
appTerm
absTerm
absTerm
6811
def
1078
ref
appTerm
betaConv
appThm
1856
remove
6810
remove
betaConv
appThm
6807
remove
refl
appThm
trans
7
ref
0
ref
9
remove
3018
remove
nil
cons
cons
opType
constTerm
6812
def
"_30050"
1
ref
var
6813
def
6808
remove
6801
remove
10
ref
6802
remove
6813
remove
varTerm
appTerm
appTerm
6809
remove
appTerm
absTerm
absTerm
absTerm
6814
def
196
ref
appTerm
6815
def
appTerm
refl
6814
ref
1075
remove
appTerm
betaConv
appThm
6812
remove
refl
6815
remove
betaConv
appThm
6811
remove
refl
appThm
trans
6814
remove
refl
1345
remove
appThm
eqMp
1376
ref
appThm
eqMp
1381
ref
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
5543
remove
5544
remove
6780
ref
nil
cons
6816
def
cons
5546
remove
6794
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
5547
remove
6780
remove
appTerm
nil
cons
cons
68
ref
6790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5548
remove
6816
remove
cons
nil
cons
nil
cons
cons
5549
remove
subst
eqMp
eqMp
nil
67
ref
65
ref
6788
ref
appTerm
nil
cons
cons
68
ref
6789
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6788
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6787
remove
nil
cons
cons
68
ref
6786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6785
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6784
remove
nil
cons
cons
68
ref
6783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6782
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
338
ref
5482
remove
assume
appThm
5481
ref
refl
appThm
nil
130
ref
5481
remove
nil
cons
cons
nil
cons
nil
cons
cons
713
ref
subst
trans
trans
trans
trans
sym
55
ref
eqMp
proveHyp
proveHyp
eqMp
nil
6510
remove
106
ref
6771
remove
cons
nil
cons
6817
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
6512
remove
6817
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
6513
remove
6769
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6514
remove
6769
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6515
remove
6817
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
6516
remove
6817
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
6517
remove
6769
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
6518
remove
6769
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6519
remove
6817
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
6767
remove
appTerm
thm
6495
ref
nil
6488
remove
thm
5453
remove
nil
5454
remove
thm
nil
5
ref
6
ref
65
ref
192
ref
65
ref
130
ref
65
ref
847
ref
65
ref
436
ref
69
ref
3488
ref
4581
ref
57
ref
4583
remove
appTerm
6818
def
4611
ref
437
ref
appTerm
6819
def
appTerm
6820
def
appTerm
6821
def
appTerm
6822
def
appTerm
57
ref
10
ref
2554
ref
19
ref
appTerm
appTerm
1710
ref
appTerm
appTerm
6823
def
10
ref
2554
ref
200
ref
appTerm
appTerm
1404
ref
appTerm
6824
def
appTerm
6825
def
appTerm
6826
def
absTerm
6827
def
appTerm
6828
def
absTerm
6829
def
appTerm
6830
def
absTerm
6831
def
appTerm
6832
def
absTerm
6833
def
appTerm
6834
def
absTerm
6835
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
6834
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6833
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
6832
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6831
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
6830
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6829
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
6828
remove
nil
cons
6836
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
6827
ref
nil
cons
cons
6837
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
6826
remove
nil
cons
6838
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
1410
ref
68
ref
6838
ref
cons
nil
cons
6839
def
cons
nil
cons
cons
6840
def
85
ref
subst
6840
remove
138
ref
subst
nil
421
ref
6839
ref
cons
nil
cons
cons
6841
def
85
ref
subst
6841
remove
138
ref
subst
nil
67
ref
6822
remove
nil
cons
6842
def
cons
68
ref
6825
ref
nil
cons
6843
def
cons
nil
cons
6844
def
cons
nil
cons
cons
6845
def
85
ref
subst
6845
remove
138
ref
subst
nil
2940
remove
106
ref
6821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6846
def
120
ref
subst
6846
remove
224
ref
subst
nil
104
ref
5260
ref
cons
106
ref
6820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
6847
def
120
ref
subst
6847
remove
224
ref
subst
nil
104
ref
5274
ref
cons
106
ref
6819
remove
nil
cons
6848
def
cons
nil
cons
cons
nil
cons
cons
6849
def
120
ref
subst
6849
remove
224
ref
subst
nil
67
ref
6848
remove
cons
6844
ref
cons
nil
cons
cons
129
ref
subst
151
ref
338
ref
4637
remove
appThm
6850
def
5651
ref
appThm
appThm
6825
ref
refl
6851
def
appThm
sym
5176
remove
nil
5179
remove
68
ref
69
ref
10
ref
4622
remove
appTerm
6852
def
437
ref
appTerm
appTerm
6825
remove
appTerm
6853
def
nil
cons
6854
def
cons
nil
cons
6855
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
1443
ref
976
ref
378
ref
976
remove
379
ref
58
ref
346
ref
refl
5473
remove
2938
remove
appThm
5475
remove
appThm
appThm
appThm
4197
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
50
ref
947
ref
378
ref
947
ref
379
ref
57
ref
346
remove
2162
remove
384
remove
appTerm
6856
def
appTerm
6857
def
appTerm
4199
remove
appTerm
6858
def
absTerm
6859
def
appTerm
6860
def
absTerm
6861
def
appTerm
6862
def
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
6853
ref
refl
appThm
sym
nil
5
ref
378
ref
69
ref
6861
ref
381
ref
appTerm
6863
def
appTerm
6853
ref
appTerm
6864
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
ref
nil
50
ref
6864
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6863
ref
nil
cons
6865
def
cons
6855
ref
cons
nil
cons
cons
6866
def
85
ref
subst
6866
remove
138
ref
subst
6863
ref
betaConv
6863
remove
assume
eqMp
nil
67
ref
6860
ref
nil
cons
cons
6855
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
379
ref
69
ref
6859
ref
383
ref
appTerm
6867
def
appTerm
6853
ref
appTerm
6868
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
379
ref
nil
50
ref
6868
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
6867
ref
nil
cons
6869
def
cons
6855
ref
cons
nil
cons
cons
6870
def
85
ref
subst
6870
remove
138
ref
subst
6867
ref
betaConv
6867
remove
assume
eqMp
nil
67
ref
6858
remove
nil
cons
6871
def
cons
6855
remove
cons
nil
cons
cons
6872
def
129
ref
subst
proveHyp
6872
ref
85
ref
subst
6872
remove
138
ref
subst
nil
104
ref
6857
ref
nil
cons
cons
106
ref
4212
remove
cons
nil
cons
cons
nil
cons
cons
6873
def
120
ref
subst
6873
remove
224
ref
subst
151
ref
338
ref
5200
ref
6857
ref
assume
6874
def
appThm
3246
remove
5235
ref
subst
trans
appThm
5651
ref
appThm
appThm
6851
remove
appThm
sym
nil
67
ref
10
ref
4620
ref
appTerm
437
ref
appTerm
6875
def
nil
cons
6876
def
cons
6844
remove
cons
nil
cons
cons
6877
def
85
ref
subst
6877
remove
138
ref
subst
28
ref
"_29964"
1
ref
var
6878
def
57
ref
10
ref
401
ref
6878
remove
varTerm
appTerm
6879
def
19
ref
appTerm
appTerm
1710
ref
appTerm
appTerm
10
ref
6879
remove
200
ref
appTerm
appTerm
1404
ref
appTerm
appTerm
absTerm
6880
def
437
ref
appTerm
6881
def
appTerm
refl
6880
ref
4620
ref
appTerm
betaConv
appThm
108
ref
6881
remove
betaConv
appThm
57
ref
10
ref
401
ref
4620
ref
appTerm
6882
def
19
ref
appTerm
6883
def
appTerm
6884
def
1710
ref
appTerm
6885
def
appTerm
10
ref
6882
remove
200
ref
appTerm
6886
def
appTerm
6887
def
1404
ref
appTerm
6888
def
appTerm
refl
appThm
trans
6880
remove
refl
6875
remove
assume
sym
appThm
eqMp
sym
1530
ref
69
ref
418
ref
10
ref
2947
ref
1534
ref
appTerm
6889
def
appTerm
17
ref
appTerm
appTerm
appTerm
10
ref
401
ref
4619
ref
6889
ref
appTerm
appTerm
19
ref
appTerm
appTerm
4619
ref
19
ref
appTerm
6890
def
appTerm
appTerm
absTerm
6891
def
200
ref
appTerm
6892
def
betaConv
436
ref
65
ref
1530
ref
69
ref
418
ref
10
ref
3029
ref
appTerm
17
ref
appTerm
appTerm
appTerm
6893
def
10
ref
401
ref
4619
ref
3029
ref
appTerm
appTerm
437
ref
appTerm
appTerm
4619
ref
437
ref
appTerm
6894
def
appTerm
appTerm
absTerm
appTerm
absTerm
6895
def
19
ref
appTerm
6896
def
betaConv
1419
ref
65
ref
436
ref
65
ref
1530
ref
6893
remove
10
ref
401
ref
1422
ref
3029
ref
appTerm
appTerm
437
ref
appTerm
appTerm
1423
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6897
def
4618
ref
appTerm
6898
def
betaConv
nil
65
ref
6897
ref
appTerm
6899
def
axiom
6900
def
nil
67
ref
6899
remove
nil
cons
cons
68
ref
6898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6897
remove
nil
cons
cons
130
ref
5240
remove
cons
nil
cons
6901
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6895
ref
appTerm
nil
cons
cons
68
ref
6896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6895
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6891
ref
appTerm
nil
cons
cons
68
ref
6892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6891
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
5237
ref
appTerm
6902
def
6884
remove
6890
ref
appTerm
6903
def
appTerm
6904
def
nil
cons
cons
68
ref
6885
ref
nil
cons
6905
def
cons
nil
cons
6906
def
cons
nil
cons
cons
129
ref
subst
proveHyp
5236
ref
nil
5238
ref
68
ref
69
ref
6903
ref
appTerm
6885
ref
appTerm
6907
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
6903
ref
nil
cons
6908
def
cons
6906
remove
cons
nil
cons
cons
6909
def
85
ref
subst
6909
remove
138
ref
subst
28
ref
"_29966"
1
ref
var
6910
def
10
ref
6910
remove
varTerm
appTerm
1710
ref
appTerm
absTerm
6911
def
6883
remove
appTerm
6912
def
appTerm
refl
6911
ref
6890
ref
appTerm
betaConv
appThm
108
ref
6912
remove
betaConv
appThm
10
ref
6890
remove
appTerm
1710
ref
appTerm
6913
def
refl
6914
def
appThm
trans
6911
remove
refl
6903
remove
assume
appThm
eqMp
sym
436
ref
65
ref
6
ref
65
ref
192
ref
441
ref
10
ref
401
ref
390
ref
4922
remove
appTerm
1416
remove
appTerm
appTerm
437
ref
appTerm
appTerm
401
ref
1559
remove
appTerm
437
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6915
def
19
ref
appTerm
6916
def
betaConv
nil
65
ref
6915
ref
appTerm
6917
def
axiom
6918
def
nil
67
ref
6917
remove
nil
cons
cons
6919
def
68
ref
6916
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6915
ref
nil
cons
cons
6920
def
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6921
def
nil
67
ref
65
ref
978
ref
65
ref
192
ref
884
ref
10
ref
401
ref
390
ref
401
ref
979
ref
appTerm
19
ref
appTerm
appTerm
886
remove
appTerm
appTerm
19
ref
appTerm
6922
def
appTerm
401
ref
390
ref
979
ref
appTerm
200
ref
appTerm
appTerm
19
ref
appTerm
6923
def
appTerm
6924
def
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
6925
def
68
ref
6913
remove
nil
cons
6926
def
cons
nil
cons
6927
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
978
ref
149
ref
192
ref
1443
ref
6924
ref
refl
appThm
nil
50
ref
6924
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
absThm
appThm
appThm
6928
def
6914
remove
appThm
sym
nil
67
ref
65
ref
978
ref
65
ref
192
ref
6924
ref
absTerm
appTerm
absTerm
appTerm
6929
def
nil
cons
6930
def
cons
6931
def
6927
remove
cons
nil
cons
cons
6932
def
85
ref
subst
6932
remove
138
ref
subst
338
ref
nil
192
ref
4617
ref
nil
cons
6933
def
cons
978
ref
4616
ref
nil
cons
6934
def
cons
nil
cons
cons
nil
cons
cons
192
ref
10
ref
6923
remove
appTerm
6922
remove
appTerm
6935
def
absTerm
6936
def
200
ref
appTerm
6937
def
betaConv
978
ref
65
ref
6936
ref
appTerm
6938
def
absTerm
6939
def
979
ref
appTerm
6940
def
betaConv
149
ref
978
ref
149
ref
192
ref
6935
remove
assume
sym
6924
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
6929
remove
assume
eqMp
nil
67
ref
65
ref
6939
ref
appTerm
nil
cons
cons
68
ref
6940
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6939
remove
nil
cons
cons
130
ref
1828
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6938
remove
nil
cons
cons
68
ref
6937
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6936
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
6941
def
subst
appThm
5266
ref
appThm
sym
1419
ref
65
ref
436
ref
69
ref
6346
remove
appTerm
6942
def
10
ref
401
ref
3050
remove
appTerm
1420
ref
appTerm
appTerm
17
ref
appTerm
appTerm
absTerm
appTerm
absTerm
6943
def
19
ref
appTerm
6944
def
betaConv
149
ref
1419
ref
149
ref
436
ref
6942
ref
refl
338
ref
5423
ref
3057
ref
appThm
1420
ref
refl
appThm
appThm
921
ref
appThm
appThm
absThm
appThm
absThm
appThm
nil
65
ref
1419
ref
65
ref
436
ref
6942
remove
10
ref
401
ref
1498
remove
appTerm
1420
ref
appTerm
appTerm
17
ref
appTerm
appTerm
6945
def
absTerm
6946
def
appTerm
6947
def
absTerm
6948
def
appTerm
6949
def
axiom
6950
def
eqMp
6951
def
nil
67
ref
65
ref
6943
ref
appTerm
nil
cons
cons
6952
def
68
ref
6944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6943
ref
nil
cons
cons
6953
def
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
436
ref
884
ref
10
ref
401
ref
3841
remove
appTerm
19
ref
appTerm
appTerm
17
ref
appTerm
6954
def
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
10
ref
401
ref
390
ref
401
ref
4616
remove
appTerm
6955
def
19
ref
appTerm
appTerm
401
ref
4617
ref
appTerm
6956
def
19
ref
appTerm
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
6957
def
nil
cons
6958
def
cons
nil
cons
6959
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
436
ref
1443
ref
6954
ref
refl
appThm
nil
50
ref
6954
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
appThm
6957
remove
refl
appThm
sym
nil
67
ref
65
ref
436
ref
6954
remove
absTerm
6960
def
appTerm
nil
cons
6961
def
cons
6962
def
6959
remove
cons
nil
cons
cons
6963
def
85
ref
subst
6963
remove
138
ref
subst
338
ref
5423
ref
1463
ref
5423
ref
nil
1925
ref
436
ref
4613
ref
nil
cons
cons
3980
ref
cons
cons
nil
cons
cons
6964
def
3043
ref
subst
appThm
6965
def
821
ref
appThm
appThm
5423
ref
nil
3026
remove
4012
remove
cons
nil
cons
cons
6966
def
3043
ref
subst
appThm
6967
def
821
ref
appThm
nil
3966
remove
nil
cons
nil
cons
cons
6960
ref
437
ref
appTerm
6968
def
betaConv
nil
6962
remove
68
ref
6968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6960
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
appThm
821
ref
appThm
appThm
5266
ref
appThm
sym
338
ref
5423
ref
nil
1419
ref
401
ref
392
ref
3897
ref
4613
remove
appTerm
6969
def
appTerm
200
ref
appTerm
appTerm
19
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2614
ref
subst
5423
ref
6964
remove
3069
ref
subst
appThm
821
ref
appThm
trans
appThm
821
ref
appThm
appThm
5266
ref
appThm
sym
379
ref
69
ref
4711
remove
6857
remove
appTerm
appTerm
5569
remove
appTerm
6970
def
absTerm
6971
def
383
ref
appTerm
6972
def
betaConv
378
ref
65
ref
6971
ref
appTerm
6973
def
absTerm
6974
def
381
ref
appTerm
6975
def
betaConv
5575
remove
359
ref
appTerm
6976
def
betaConv
6493
remove
5579
remove
19
ref
appTerm
6977
def
betaConv
6495
remove
nil
6496
remove
68
ref
6977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6497
remove
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5578
remove
nil
cons
cons
68
ref
6492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
5577
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
5925
remove
cons
68
ref
6976
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5928
remove
2643
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6974
ref
appTerm
nil
cons
cons
68
ref
6975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6974
remove
nil
cons
cons
1390
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6973
remove
nil
cons
cons
68
ref
6972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6971
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6970
remove
nil
cons
cons
68
ref
5432
ref
nil
cons
6978
def
cons
nil
cons
6979
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
4708
remove
707
remove
6874
remove
appThm
6856
ref
refl
appThm
nil
945
remove
6856
remove
nil
cons
cons
nil
cons
nil
cons
cons
4710
remove
subst
trans
appThm
186
ref
trans
appThm
5935
remove
appThm
nil
50
ref
5939
ref
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
5432
ref
refl
appThm
sym
nil
67
ref
5939
ref
cons
6979
remove
cons
nil
cons
cons
6980
def
85
ref
subst
6980
remove
138
ref
subst
nil
6506
remove
106
ref
6978
ref
cons
nil
cons
6981
def
cons
nil
cons
cons
224
ref
subst
eqMp
nil
104
ref
5939
remove
cons
6981
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1530
ref
69
ref
1593
ref
383
ref
appTerm
19
ref
appTerm
6982
def
appTerm
6983
def
10
ref
4614
remove
1534
ref
appTerm
appTerm
367
ref
6889
remove
appTerm
6984
def
2881
remove
1534
ref
appTerm
appTerm
appTerm
appTerm
absTerm
6985
def
200
ref
appTerm
6986
def
betaConv
436
ref
65
ref
1530
ref
69
ref
6414
remove
appTerm
10
ref
392
ref
2823
ref
437
ref
appTerm
appTerm
1534
ref
appTerm
appTerm
6984
remove
3029
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
6987
def
383
ref
appTerm
6988
def
betaConv
1419
ref
65
ref
436
ref
65
ref
1530
ref
2779
ref
10
ref
392
ref
2780
ref
appTerm
1534
ref
appTerm
appTerm
367
ref
2995
ref
appTerm
3029
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
6989
def
19
ref
appTerm
6990
def
betaConv
nil
65
ref
6989
ref
appTerm
6991
def
axiom
nil
67
ref
6991
remove
nil
cons
cons
68
ref
6990
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6989
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6987
ref
appTerm
nil
cons
cons
68
ref
6988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6987
remove
nil
cons
cons
1391
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
6985
ref
appTerm
nil
cons
cons
68
ref
6986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6985
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6983
remove
10
ref
4615
ref
appTerm
6992
def
367
ref
2948
ref
appTerm
2899
ref
appTerm
6993
def
appTerm
6994
def
appTerm
6995
def
nil
cons
cons
68
ref
6992
remove
2604
ref
2947
ref
1611
remove
381
ref
appTerm
6996
def
appTerm
6997
def
appTerm
6998
def
appTerm
6999
def
nil
cons
7000
def
cons
nil
cons
7001
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
67
ref
6978
ref
cons
68
ref
6982
ref
nil
cons
7002
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
4024
remove
nil
cons
cons
6187
ref
subst
eqMp
nil
67
ref
7002
remove
cons
7003
def
68
ref
69
ref
6994
ref
appTerm
6999
ref
appTerm
7004
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
6994
ref
nil
cons
7005
def
cons
7001
remove
cons
nil
cons
cons
7006
def
85
ref
subst
7006
remove
138
ref
subst
28
ref
"_29970"
1
ref
var
7007
def
10
ref
7007
remove
varTerm
appTerm
6998
ref
appTerm
absTerm
7008
def
4615
ref
appTerm
7009
def
appTerm
refl
7008
ref
6993
ref
appTerm
betaConv
appThm
108
ref
7009
remove
betaConv
appThm
10
ref
6993
ref
appTerm
7010
def
6998
ref
appTerm
7011
def
refl
appThm
trans
7008
remove
refl
6994
remove
assume
appThm
eqMp
sym
nil
1464
ref
1925
ref
2888
remove
cons
cons
nil
cons
cons
1530
ref
28
ref
1894
ref
2995
ref
appTerm
3029
ref
appTerm
appTerm
1928
remove
418
ref
4889
ref
appTerm
appTerm
appTerm
absTerm
7012
def
1534
ref
appTerm
7013
def
betaConv
436
ref
65
ref
7012
ref
appTerm
7014
def
absTerm
7015
def
437
ref
appTerm
7016
def
betaConv
1419
ref
65
ref
7015
ref
appTerm
7017
def
absTerm
7018
def
1420
ref
appTerm
7019
def
betaConv
nil
65
ref
7018
ref
appTerm
7020
def
axiom
nil
67
ref
7020
remove
nil
cons
cons
68
ref
7019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7018
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7017
remove
nil
cons
cons
68
ref
7016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7015
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7014
remove
nil
cons
cons
68
ref
7013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7012
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
58
ref
nil
50
ref
6978
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
5432
remove
assume
eqMp
appThm
491
remove
appThm
186
ref
trans
trans
sym
55
ref
eqMp
847
ref
57
ref
7010
ref
1404
ref
appTerm
appTerm
1405
ref
6998
ref
appTerm
appTerm
absTerm
7021
def
367
ref
390
ref
2948
ref
appTerm
359
ref
appTerm
appTerm
7022
def
4198
ref
appTerm
7023
def
appTerm
betaConv
sym
nil
67
ref
1894
ref
2899
ref
appTerm
2948
ref
appTerm
7024
def
nil
cons
7025
def
cons
68
ref
1593
ref
2899
ref
appTerm
2948
ref
appTerm
nil
cons
7026
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
5239
remove
4240
remove
cons
nil
cons
cons
6187
remove
subst
eqMp
nil
67
ref
7026
remove
cons
68
ref
10
ref
7023
ref
appTerm
7027
def
6993
ref
appTerm
nil
cons
7028
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
3367
ref
3987
ref
1419
ref
2989
ref
cons
nil
cons
7029
def
cons
cons
nil
cons
cons
436
ref
2779
remove
10
ref
367
ref
2364
remove
appTerm
1536
remove
appTerm
appTerm
2780
remove
appTerm
appTerm
7030
def
absTerm
7031
def
437
ref
appTerm
7032
def
betaConv
1419
ref
65
ref
7031
ref
appTerm
7033
def
absTerm
7034
def
1420
ref
appTerm
7035
def
betaConv
1530
ref
65
ref
7034
ref
appTerm
7036
def
absTerm
7037
def
1534
ref
appTerm
7038
def
betaConv
nil
65
ref
1419
ref
65
ref
436
ref
65
ref
1530
ref
7030
ref
absTerm
7039
def
appTerm
7040
def
absTerm
7041
def
appTerm
7042
def
absTerm
7043
def
appTerm
7044
def
axiom
nil
67
ref
7044
remove
nil
cons
7045
def
cons
7046
def
68
ref
65
ref
7037
ref
appTerm
nil
cons
7047
def
cons
nil
cons
cons
nil
cons
cons
7048
def
129
ref
subst
proveHyp
7048
ref
85
ref
subst
7048
remove
138
ref
subst
nil
5
ref
7037
remove
nil
cons
cons
7049
def
nil
cons
nil
cons
cons
49
ref
subst
1530
ref
nil
50
ref
7036
remove
nil
cons
7050
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7034
remove
nil
cons
cons
7051
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
7033
remove
nil
cons
7052
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7031
remove
nil
cons
cons
7053
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
7030
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
7039
ref
1534
ref
appTerm
7054
def
betaConv
7041
ref
437
ref
appTerm
7055
def
betaConv
7043
ref
1420
ref
appTerm
7056
def
betaConv
nil
7046
remove
68
ref
7056
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
7043
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7042
remove
nil
cons
cons
68
ref
7055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7041
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7040
remove
nil
cons
cons
68
ref
7054
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7039
remove
nil
cons
cons
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
7045
remove
cons
106
ref
7047
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
7047
remove
cons
68
ref
7038
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7049
remove
1556
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7050
remove
cons
68
ref
7035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7051
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7052
remove
cons
68
ref
7032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7053
remove
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
nil
67
ref
7028
remove
cons
68
ref
7010
remove
7023
ref
appTerm
nil
cons
7057
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
130
ref
7023
remove
nil
cons
cons
7058
def
847
ref
6993
remove
nil
cons
7059
def
cons
nil
cons
cons
nil
cons
cons
870
remove
subst
eqMp
nil
67
ref
7057
remove
cons
68
ref
7027
remove
6998
ref
appTerm
nil
cons
cons
nil
cons
7060
def
cons
nil
cons
cons
138
ref
subst
proveHyp
1894
ref
4198
ref
appTerm
7061
def
refl
1463
ref
4508
remove
appThm
662
ref
appThm
appThm
sym
nil
1530
ref
2989
remove
cons
2272
remove
3367
ref
nil
cons
cons
cons
nil
cons
cons
6154
remove
subst
nil
50
ref
7025
remove
cons
nil
cons
nil
cons
cons
56
ref
subst
7024
remove
assume
eqMp
trans
sym
55
ref
eqMp
eqMp
nil
67
ref
7061
remove
390
ref
3206
ref
appTerm
359
ref
appTerm
7062
def
appTerm
nil
cons
cons
7060
remove
cons
nil
cons
cons
129
ref
subst
151
ref
1904
remove
4237
ref
appThm
7062
remove
refl
appThm
appThm
338
ref
7022
remove
refl
4237
remove
appThm
appThm
6998
ref
refl
7063
def
appThm
appThm
sym
151
ref
1894
ref
2897
ref
appTerm
refl
nil
1419
ref
3206
remove
nil
cons
7064
def
cons
nil
cons
nil
cons
cons
5463
ref
subst
appThm
nil
436
ref
7064
remove
cons
3368
remove
cons
nil
cons
cons
6396
remove
subst
nil
1591
ref
3838
remove
cons
nil
cons
cons
1530
ref
28
ref
1593
ref
2995
remove
appTerm
3029
ref
appTerm
appTerm
600
ref
2376
ref
appTerm
4889
ref
appTerm
appTerm
absTerm
7065
def
1534
ref
appTerm
7066
def
betaConv
436
ref
65
ref
7065
ref
appTerm
7067
def
absTerm
7068
def
437
ref
appTerm
7069
def
betaConv
1419
ref
65
ref
7068
ref
appTerm
7070
def
absTerm
7071
def
1420
ref
appTerm
7072
def
betaConv
nil
65
ref
7071
ref
appTerm
7073
def
axiom
nil
67
ref
7073
remove
nil
cons
cons
68
ref
7072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7071
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7070
remove
nil
cons
cons
68
ref
7069
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7068
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7067
remove
nil
cons
cons
68
ref
7066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7065
remove
nil
cons
cons
1556
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
600
ref
6422
ref
appTerm
refl
1441
remove
appThm
nil
50
ref
6423
ref
cons
nil
cons
nil
cons
cons
4908
ref
subst
trans
trans
trans
trans
appThm
338
ref
2677
ref
nil
7029
remove
nil
cons
cons
5463
remove
subst
appThm
3725
remove
appThm
appThm
7063
remove
appThm
appThm
sym
nil
67
ref
6423
ref
cons
68
ref
10
ref
367
ref
1482
ref
2948
ref
appTerm
appTerm
2897
ref
appTerm
appTerm
6998
ref
appTerm
7074
def
nil
cons
7075
def
cons
nil
cons
7076
def
cons
nil
cons
cons
7077
def
85
ref
subst
7077
remove
138
ref
subst
6424
remove
436
ref
28
ref
2376
remove
appTerm
947
ref
2412
ref
438
remove
1504
remove
2413
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
7078
def
437
ref
appTerm
7079
def
betaConv
1419
ref
65
ref
7078
ref
appTerm
7080
def
absTerm
7081
def
1420
ref
appTerm
7082
def
betaConv
nil
65
ref
7081
ref
appTerm
7083
def
axiom
nil
67
ref
7083
remove
nil
cons
cons
68
ref
7082
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7081
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7080
remove
nil
cons
cons
68
ref
7079
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7078
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
6422
remove
assume
eqMp
nil
67
ref
947
ref
2412
ref
351
ref
395
remove
2413
ref
appTerm
7084
def
appTerm
7085
def
absTerm
7086
def
appTerm
7087
def
nil
cons
cons
7076
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
2412
ref
69
ref
7086
ref
2413
ref
appTerm
7088
def
appTerm
7074
ref
appTerm
7089
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
2412
remove
nil
50
ref
7089
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7088
ref
nil
cons
7090
def
cons
7076
ref
cons
nil
cons
cons
7091
def
85
ref
subst
7091
remove
138
ref
subst
7088
ref
betaConv
7088
remove
assume
eqMp
nil
67
ref
7085
ref
nil
cons
7092
def
cons
7076
remove
cons
nil
cons
cons
7093
def
129
ref
subst
proveHyp
7093
ref
85
ref
subst
7093
remove
138
ref
subst
28
ref
"_29972"
1
ref
var
7094
def
10
ref
367
ref
1482
ref
2947
ref
7094
remove
varTerm
7095
def
appTerm
appTerm
appTerm
2897
ref
appTerm
appTerm
2604
ref
2947
ref
367
ref
7095
remove
appTerm
381
ref
appTerm
appTerm
appTerm
appTerm
absTerm
7096
def
200
ref
appTerm
7097
def
appTerm
refl
7096
ref
7084
ref
appTerm
betaConv
appThm
108
ref
7097
remove
betaConv
appThm
10
ref
367
ref
1482
remove
2947
ref
7084
ref
appTerm
7098
def
appTerm
appTerm
7099
def
2897
ref
appTerm
appTerm
2604
remove
2947
ref
367
remove
7084
remove
appTerm
381
ref
appTerm
appTerm
appTerm
7100
def
appTerm
refl
appThm
trans
7096
remove
refl
7085
remove
assume
appThm
eqMp
sym
338
ref
7099
remove
refl
4232
remove
appThm
appThm
7100
remove
refl
appThm
sym
338
ref
2677
remove
nil
1419
ref
7098
remove
nil
cons
cons
nil
cons
nil
cons
cons
4885
remove
subst
1463
ref
nil
1530
ref
2422
remove
cons
4231
remove
cons
nil
cons
cons
3005
ref
subst
appThm
662
remove
appThm
nil
3987
ref
436
ref
2947
ref
2413
remove
appTerm
7101
def
nil
cons
7102
def
cons
1419
ref
2947
ref
381
ref
appTerm
7103
def
nil
cons
cons
nil
cons
7104
def
cons
cons
nil
cons
cons
1557
remove
subst
trans
trans
appThm
7103
remove
refl
appThm
nil
436
ref
390
ref
7101
remove
appTerm
359
ref
appTerm
nil
cons
cons
7104
remove
cons
nil
cons
cons
1629
ref
subst
trans
appThm
2605
remove
2963
remove
nil
2423
remove
2887
remove
cons
nil
cons
cons
1629
remove
subst
appThm
appThm
appThm
sym
nil
2360
ref
1419
ref
7102
remove
cons
nil
cons
cons
nil
cons
cons
1521
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7092
remove
cons
106
ref
7075
remove
cons
nil
cons
7105
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7090
remove
cons
7105
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7086
ref
1710
ref
appTerm
appTerm
7074
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7087
remove
appTerm
7074
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7086
remove
nil
cons
cons
7105
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
6423
remove
cons
7105
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
23
ref
5
ref
7021
ref
nil
cons
cons
7058
remove
nil
cons
cons
nil
cons
cons
1176
ref
subst
proveHyp
nil
67
ref
947
ref
7021
remove
appTerm
nil
cons
cons
68
ref
7011
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1657
remove
6998
ref
nil
cons
cons
130
ref
7059
remove
cons
nil
cons
cons
nil
cons
cons
1708
remove
subst
eqMp
proveHyp
eqMp
eqMp
nil
104
ref
7005
ref
cons
106
ref
7000
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
ref
6982
remove
appTerm
7004
remove
appTerm
nil
cons
cons
68
ref
69
ref
6995
remove
appTerm
6999
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
7000
remove
cons
68
ref
7005
remove
cons
7003
remove
nil
cons
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
proveHyp
28
ref
"_29968"
1
ref
var
7106
def
10
ref
401
ref
401
ref
3897
ref
7106
remove
varTerm
appTerm
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
absTerm
7107
def
4615
ref
appTerm
7108
def
appTerm
refl
7107
ref
6998
ref
appTerm
betaConv
appThm
108
ref
7108
remove
betaConv
appThm
10
ref
401
ref
401
ref
3897
ref
6998
remove
appTerm
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
refl
appThm
trans
7107
remove
refl
6999
remove
assume
appThm
eqMp
sym
338
ref
5423
ref
5423
ref
nil
1530
ref
6997
ref
nil
cons
7109
def
cons
2360
ref
3980
ref
cons
cons
nil
cons
cons
3005
ref
subst
1463
ref
5272
ref
2621
ref
subst
appThm
3897
ref
6997
remove
appTerm
7110
def
refl
appThm
trans
appThm
821
ref
appThm
appThm
821
ref
appThm
appThm
5266
ref
appThm
sym
6921
remove
nil
6925
remove
68
ref
10
ref
401
ref
401
ref
390
ref
1710
ref
appTerm
7110
ref
appTerm
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
7111
def
nil
cons
7112
def
cons
nil
cons
7113
def
cons
nil
cons
cons
129
ref
subst
proveHyp
6928
remove
7111
remove
refl
appThm
sym
nil
6931
remove
7113
remove
cons
nil
cons
cons
7114
def
85
ref
subst
7114
remove
138
ref
subst
338
ref
5423
ref
nil
192
ref
7110
ref
nil
cons
cons
978
ref
3979
ref
cons
nil
cons
cons
nil
cons
cons
6941
remove
subst
appThm
821
ref
appThm
appThm
5266
ref
appThm
sym
338
ref
5423
ref
nil
436
ref
7109
remove
cons
3980
ref
cons
nil
cons
cons
3057
ref
subst
appThm
821
ref
appThm
appThm
921
ref
appThm
sym
338
ref
5423
ref
nil
1530
ref
3979
remove
cons
436
ref
6996
ref
nil
cons
cons
1533
ref
cons
cons
nil
cons
cons
3069
ref
subst
appThm
821
ref
appThm
appThm
921
ref
appThm
sym
nil
1410
ref
68
ref
10
ref
401
ref
2947
ref
392
ref
6996
remove
appTerm
1710
ref
appTerm
7115
def
appTerm
appTerm
19
ref
appTerm
appTerm
17
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
436
ref
7115
remove
nil
cons
cons
1533
remove
cons
nil
cons
cons
1419
ref
6945
ref
absTerm
7116
def
1420
ref
appTerm
7117
def
betaConv
436
ref
65
ref
7116
ref
appTerm
7118
def
absTerm
7119
def
437
ref
appTerm
7120
def
betaConv
6950
remove
nil
67
ref
6949
remove
nil
cons
7121
def
cons
7122
def
68
ref
65
ref
7119
ref
appTerm
nil
cons
7123
def
cons
nil
cons
cons
nil
cons
cons
7124
def
129
ref
subst
proveHyp
7124
ref
85
ref
subst
7124
remove
138
ref
subst
nil
5
ref
7119
remove
nil
cons
cons
7125
def
nil
cons
nil
cons
cons
49
ref
subst
436
ref
nil
50
ref
7118
remove
nil
cons
7126
def
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7116
remove
nil
cons
cons
7127
def
nil
cons
nil
cons
cons
49
ref
subst
1419
ref
nil
50
ref
6945
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6946
ref
437
ref
appTerm
7128
def
betaConv
6948
ref
1420
ref
appTerm
7129
def
betaConv
nil
7122
remove
68
ref
7129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
6948
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6947
remove
nil
cons
cons
68
ref
7128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6946
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
104
ref
7121
remove
cons
106
ref
7123
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
7123
remove
cons
68
ref
7120
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7125
remove
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7126
remove
cons
68
ref
7117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7127
remove
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
28
ref
"_29974"
1
ref
var
7130
def
10
ref
401
ref
401
ref
390
ref
401
ref
1710
ref
appTerm
19
ref
appTerm
7131
def
appTerm
7132
def
7130
remove
varTerm
appTerm
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
absTerm
7133
def
401
ref
7110
remove
appTerm
19
ref
appTerm
7134
def
appTerm
7135
def
appTerm
refl
7133
ref
17
ref
appTerm
betaConv
appThm
108
ref
7135
remove
betaConv
appThm
10
ref
401
ref
401
ref
7132
remove
17
ref
appTerm
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
7136
def
refl
appThm
trans
7133
remove
refl
10
ref
7134
remove
appTerm
17
ref
appTerm
assume
appThm
eqMp
sym
436
ref
65
ref
1419
ref
441
ref
10
ref
401
ref
1423
ref
appTerm
437
ref
appTerm
appTerm
1423
ref
appTerm
appTerm
absTerm
appTerm
absTerm
7137
def
19
ref
appTerm
7138
def
betaConv
nil
65
ref
7137
ref
appTerm
7139
def
axiom
7140
def
nil
67
ref
7139
remove
nil
cons
cons
7141
def
68
ref
7138
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7137
ref
nil
cons
cons
7142
def
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
1419
ref
884
ref
10
ref
401
ref
1422
ref
19
ref
appTerm
7143
def
appTerm
19
ref
appTerm
appTerm
7143
remove
appTerm
7144
def
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7136
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
1419
ref
1443
remove
7144
ref
refl
appThm
nil
50
ref
7144
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
appThm
338
ref
5423
ref
5423
ref
nil
1419
ref
7131
ref
nil
cons
cons
nil
cons
nil
cons
cons
7145
def
2614
remove
subst
appThm
821
ref
appThm
appThm
821
remove
appThm
appThm
5266
ref
appThm
appThm
sym
nil
67
ref
65
ref
1419
ref
7144
remove
absTerm
7146
def
appTerm
nil
cons
7147
def
cons
7148
def
68
ref
10
ref
401
ref
401
ref
7131
ref
appTerm
19
ref
appTerm
appTerm
19
ref
appTerm
appTerm
1710
ref
appTerm
nil
cons
7149
def
cons
nil
cons
cons
nil
cons
cons
7150
def
85
ref
subst
7150
remove
138
ref
subst
338
ref
7145
remove
7146
ref
1420
ref
appTerm
7151
def
betaConv
nil
7148
remove
68
ref
7151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
7146
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7152
def
subst
5272
remove
7152
remove
subst
trans
appThm
5266
ref
appThm
sym
nil
67
ref
5260
remove
cons
7153
def
68
ref
10
ref
7131
remove
appTerm
1710
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1464
ref
3980
remove
cons
nil
cons
cons
2296
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
7147
remove
cons
106
ref
7149
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
104
ref
6930
remove
cons
7154
def
106
ref
7112
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
104
ref
6961
remove
cons
106
ref
6958
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7154
remove
106
ref
6926
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6908
ref
cons
106
ref
6905
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
ref
5237
remove
appTerm
7155
def
6907
remove
appTerm
nil
cons
cons
68
ref
69
ref
6904
remove
appTerm
6885
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
6905
ref
cons
68
ref
6908
remove
cons
5238
ref
nil
cons
7156
def
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
nil
67
ref
6905
remove
cons
68
ref
6888
ref
nil
cons
7157
def
cons
nil
cons
7158
def
cons
nil
cons
cons
138
ref
subst
proveHyp
1530
ref
69
ref
418
ref
10
ref
3925
ref
200
ref
appTerm
7159
def
appTerm
17
ref
appTerm
appTerm
appTerm
10
ref
401
ref
4619
ref
7159
remove
appTerm
appTerm
200
ref
appTerm
appTerm
4619
ref
200
ref
appTerm
7160
def
appTerm
appTerm
absTerm
7161
def
19
ref
appTerm
7162
def
betaConv
436
ref
65
ref
1530
ref
69
ref
418
ref
10
ref
3925
remove
437
ref
appTerm
7163
def
appTerm
17
ref
appTerm
appTerm
appTerm
7164
def
10
ref
401
ref
4619
remove
7163
ref
appTerm
appTerm
437
ref
appTerm
appTerm
6894
remove
appTerm
appTerm
absTerm
appTerm
absTerm
7165
def
200
ref
appTerm
7166
def
betaConv
1419
ref
65
ref
436
ref
65
ref
1530
ref
7164
remove
10
ref
401
ref
1422
ref
7163
remove
appTerm
appTerm
437
ref
appTerm
appTerm
1423
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
7167
def
4618
remove
appTerm
7168
def
betaConv
149
ref
1419
ref
149
ref
436
ref
149
ref
1530
ref
151
ref
447
ref
338
ref
5852
remove
3057
remove
subst
7169
def
appThm
921
remove
appThm
appThm
appThm
338
ref
5423
ref
1422
ref
refl
7169
remove
appThm
appThm
5651
ref
appThm
appThm
1423
remove
refl
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
6900
remove
eqMp
nil
67
ref
65
ref
7167
ref
appTerm
nil
cons
cons
68
ref
7168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7167
remove
nil
cons
cons
6901
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7165
ref
appTerm
nil
cons
cons
68
ref
7166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7165
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7161
ref
appTerm
nil
cons
cons
68
ref
7162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7161
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
6902
remove
6887
remove
7160
ref
appTerm
7170
def
appTerm
7171
def
nil
cons
cons
7158
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
5236
remove
nil
5238
remove
68
ref
69
ref
7170
ref
appTerm
6888
ref
appTerm
7172
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
7170
ref
nil
cons
7173
def
cons
7158
remove
cons
nil
cons
cons
7174
def
85
ref
subst
7174
remove
138
ref
subst
28
ref
"_29976"
1
ref
var
7175
def
10
ref
7175
remove
varTerm
appTerm
1404
ref
appTerm
absTerm
7176
def
6886
remove
appTerm
7177
def
appTerm
refl
7176
ref
7160
ref
appTerm
betaConv
appThm
108
ref
7177
remove
betaConv
appThm
10
ref
7160
remove
appTerm
1404
ref
appTerm
7178
def
refl
7179
def
appThm
trans
7176
remove
refl
7170
remove
assume
appThm
eqMp
sym
6915
remove
200
ref
appTerm
7180
def
betaConv
6918
remove
nil
6919
remove
68
ref
7180
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6920
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7181
def
nil
67
ref
65
ref
6
ref
65
ref
877
ref
445
ref
10
ref
401
ref
390
ref
407
remove
appTerm
879
remove
appTerm
appTerm
200
ref
appTerm
7182
def
appTerm
401
ref
1558
remove
878
ref
appTerm
appTerm
200
ref
appTerm
7183
def
appTerm
7184
def
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
7185
def
68
ref
7178
remove
nil
cons
7186
def
cons
nil
cons
7187
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
6
ref
149
ref
877
ref
492
ref
7184
ref
refl
appThm
nil
50
ref
7184
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
absThm
appThm
appThm
7188
def
7179
remove
appThm
sym
nil
67
ref
65
ref
6
ref
65
ref
877
ref
7184
ref
absTerm
appTerm
absTerm
appTerm
7189
def
nil
cons
7190
def
cons
7191
def
7187
remove
cons
nil
cons
cons
7192
def
85
ref
subst
7192
remove
138
ref
subst
338
ref
nil
877
ref
6933
remove
cons
6
ref
6934
remove
cons
nil
cons
cons
nil
cons
cons
877
ref
10
ref
7183
remove
appTerm
7182
remove
appTerm
7193
def
absTerm
7194
def
878
ref
appTerm
7195
def
betaConv
6
ref
65
ref
7194
ref
appTerm
7196
def
absTerm
7197
def
19
ref
appTerm
7198
def
betaConv
149
ref
6
ref
149
ref
877
ref
7193
remove
assume
sym
7184
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
7189
remove
assume
eqMp
nil
67
ref
65
ref
7197
ref
appTerm
nil
cons
cons
68
ref
7198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7197
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7196
remove
nil
cons
cons
68
ref
7195
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7194
remove
nil
cons
cons
3866
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7199
def
subst
appThm
5267
ref
appThm
sym
6943
remove
200
ref
appTerm
7200
def
betaConv
6951
remove
nil
6952
remove
68
ref
7200
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6953
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7201
def
nil
67
ref
65
ref
436
ref
445
ref
10
ref
401
ref
3028
remove
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
17
ref
appTerm
7202
def
appTerm
absTerm
appTerm
nil
cons
cons
7203
def
68
ref
10
ref
401
ref
390
ref
6955
remove
200
ref
appTerm
appTerm
6956
remove
200
ref
appTerm
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
7204
def
nil
cons
7205
def
cons
nil
cons
7206
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
436
ref
492
ref
7202
ref
refl
appThm
nil
50
ref
7202
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
appThm
7207
def
7204
remove
refl
appThm
sym
nil
67
ref
65
ref
436
ref
7202
remove
absTerm
7208
def
appTerm
nil
cons
7209
def
cons
7210
def
7206
remove
cons
nil
cons
cons
7211
def
85
ref
subst
7211
remove
138
ref
subst
338
ref
5423
ref
1463
ref
6965
remove
417
ref
appThm
nil
436
ref
6969
remove
nil
cons
cons
nil
cons
nil
cons
cons
7208
ref
437
ref
appTerm
7212
def
betaConv
nil
7210
ref
68
ref
7212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
7208
remove
nil
cons
cons
1471
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7213
def
subst
trans
appThm
6967
remove
417
ref
appThm
appThm
appThm
417
ref
appThm
appThm
5267
ref
appThm
sym
338
ref
5423
ref
nil
436
ref
401
ref
3998
remove
19
ref
appTerm
appTerm
200
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1480
ref
subst
5423
ref
6966
remove
3069
remove
subst
appThm
417
ref
appThm
trans
appThm
417
ref
appThm
appThm
5267
ref
appThm
sym
28
ref
"_29978"
1
ref
var
7214
def
10
ref
401
ref
401
ref
3906
ref
7214
remove
varTerm
appTerm
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
absTerm
7215
def
2897
ref
appTerm
7216
def
appTerm
refl
7215
ref
4198
ref
appTerm
betaConv
appThm
108
ref
7216
remove
betaConv
appThm
10
ref
401
ref
401
ref
3906
ref
4198
remove
appTerm
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
refl
appThm
trans
7215
remove
refl
4238
remove
appThm
eqMp
sym
338
ref
5423
ref
5423
ref
nil
3987
remove
3367
remove
4011
ref
cons
cons
nil
cons
cons
3005
remove
subst
390
ref
3906
ref
2899
remove
appTerm
7217
def
appTerm
7218
def
refl
5252
ref
2621
remove
subst
appThm
trans
appThm
417
ref
appThm
appThm
417
ref
appThm
appThm
5267
ref
appThm
sym
7181
remove
nil
7185
remove
68
ref
10
ref
401
ref
401
ref
7218
remove
1404
ref
appTerm
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
7219
def
nil
cons
7220
def
cons
nil
cons
7221
def
cons
nil
cons
cons
129
ref
subst
proveHyp
7188
remove
7219
remove
refl
appThm
sym
nil
7191
remove
7221
remove
cons
nil
cons
cons
7222
def
85
ref
subst
7222
remove
138
ref
subst
338
ref
5423
ref
nil
877
ref
4010
remove
cons
6
ref
7217
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
7199
remove
subst
appThm
417
ref
appThm
appThm
5267
ref
appThm
sym
7201
remove
nil
7203
remove
68
ref
10
ref
401
ref
401
ref
390
ref
401
ref
7217
remove
appTerm
200
ref
appTerm
appTerm
401
ref
1404
ref
appTerm
200
ref
appTerm
7223
def
appTerm
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
7224
def
nil
cons
7225
def
cons
nil
cons
7226
def
cons
nil
cons
cons
129
ref
subst
proveHyp
7207
remove
7224
remove
refl
appThm
sym
nil
7210
remove
7226
remove
cons
nil
cons
cons
7227
def
85
ref
subst
7227
remove
138
ref
subst
338
ref
5423
ref
5423
ref
1463
remove
5423
ref
nil
1925
remove
3070
remove
4011
ref
cons
cons
nil
cons
cons
3043
remove
subst
appThm
417
ref
appThm
nil
436
ref
3906
ref
383
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
7213
remove
subst
trans
appThm
7223
ref
refl
appThm
appThm
417
ref
appThm
appThm
417
ref
appThm
appThm
5267
ref
appThm
sym
7137
remove
200
ref
appTerm
7228
def
betaConv
7140
remove
nil
7141
remove
68
ref
7228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7142
remove
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
1419
ref
445
remove
10
ref
401
ref
1422
remove
200
ref
appTerm
7229
def
appTerm
200
ref
appTerm
appTerm
7229
remove
appTerm
7230
def
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
10
ref
401
ref
401
ref
1476
remove
7223
ref
appTerm
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
149
ref
1419
ref
492
remove
7230
ref
refl
appThm
nil
50
ref
7230
ref
nil
cons
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
absThm
appThm
appThm
338
ref
5423
ref
5423
remove
nil
436
ref
7223
ref
nil
cons
7231
def
cons
nil
cons
nil
cons
cons
1480
remove
subst
appThm
417
ref
appThm
appThm
417
remove
appThm
appThm
5267
ref
appThm
appThm
sym
nil
67
ref
65
ref
1419
ref
7230
remove
absTerm
7232
def
appTerm
nil
cons
7233
def
cons
7234
def
68
ref
10
ref
401
ref
401
ref
7223
ref
appTerm
200
ref
appTerm
appTerm
200
ref
appTerm
appTerm
1404
ref
appTerm
nil
cons
7235
def
cons
nil
cons
cons
nil
cons
cons
7236
def
85
ref
subst
7236
remove
138
ref
subst
338
ref
nil
1419
ref
7231
remove
cons
nil
cons
nil
cons
cons
7232
ref
1420
ref
appTerm
7237
def
betaConv
nil
7234
remove
68
ref
7237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
23
ref
5
ref
7232
remove
nil
cons
cons
1520
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7238
def
subst
5252
remove
7238
remove
subst
trans
appThm
5267
ref
appThm
sym
nil
67
ref
5274
ref
cons
68
ref
10
ref
7223
remove
appTerm
1404
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1591
ref
4011
remove
cons
nil
cons
cons
2296
remove
subst
eqMp
eqMp
eqMp
nil
104
ref
7233
remove
cons
106
ref
7235
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7209
remove
cons
7239
def
106
ref
7225
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7190
remove
cons
7240
def
106
ref
7220
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7239
remove
106
ref
7205
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7240
remove
106
ref
7186
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7173
ref
cons
106
ref
7157
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
7155
remove
7172
remove
appTerm
nil
cons
cons
68
ref
69
ref
7171
remove
appTerm
6888
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
7157
remove
cons
68
ref
7173
remove
cons
7156
remove
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
6876
remove
cons
106
ref
6843
remove
cons
nil
cons
7241
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
104
ref
6871
remove
cons
106
ref
6854
remove
cons
nil
cons
7242
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
6869
remove
cons
7242
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
6859
ref
4139
ref
appTerm
appTerm
6853
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
6860
remove
appTerm
6853
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6859
remove
nil
cons
cons
7242
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
6865
remove
cons
7242
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
6861
ref
4139
ref
appTerm
appTerm
6853
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
6862
remove
appTerm
6853
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
6861
remove
nil
cons
cons
7242
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
104
ref
6842
remove
cons
7241
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
583
ref
106
ref
6838
ref
cons
nil
cons
7243
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
ref
6839
ref
cons
nil
cons
cons
7244
def
85
ref
subst
7244
remove
138
ref
subst
151
ref
58
ref
4144
remove
appThm
5251
ref
58
ref
5259
remove
appThm
338
ref
5268
remove
appThm
5651
ref
appThm
appThm
nil
50
ref
10
ref
5269
remove
appTerm
437
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2519
ref
subst
trans
appThm
5265
remove
trans
appThm
4160
remove
5264
ref
subst
trans
appThm
6823
ref
refl
338
ref
2554
ref
refl
7245
def
597
ref
appThm
appThm
5267
ref
appThm
appThm
appThm
nil
50
ref
6823
remove
10
ref
2554
remove
17
ref
appTerm
appTerm
7246
def
1404
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3855
ref
subst
trans
sym
55
ref
eqMp
eqMp
nil
450
ref
7243
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
ref
nil
450
ref
611
ref
612
ref
6838
remove
cons
nil
cons
7247
def
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1649
ref
7243
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2862
ref
6839
remove
cons
nil
cons
cons
7248
def
85
ref
subst
7248
remove
138
ref
subst
151
ref
58
ref
4263
remove
appThm
5273
remove
6818
ref
refl
7249
def
338
ref
5276
remove
appThm
5651
remove
appThm
appThm
appThm
nil
50
ref
6818
ref
10
ref
5277
remove
appTerm
437
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2519
ref
subst
trans
appThm
4265
remove
5264
ref
subst
trans
appThm
58
ref
338
ref
7245
remove
2865
ref
appThm
appThm
5266
ref
appThm
appThm
6824
ref
refl
appThm
appThm
nil
50
ref
57
ref
7246
remove
1710
ref
appTerm
appTerm
6824
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3855
remove
subst
trans
sym
55
ref
eqMp
eqMp
nil
1439
ref
7243
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2873
ref
nil
1439
ref
2874
ref
7247
remove
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
7250
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
6835
remove
appTerm
thm
nil
5
ref
5427
ref
65
ref
"bp"
1
ref
var
7251
def
65
ref
"xp"
1
ref
var
7252
def
65
ref
"yp"
1
ref
var
7253
def
"aq"
1
ref
var
7254
def
"bq"
1
ref
var
7255
def
190
ref
6
ref
192
ref
130
ref
847
ref
4592
ref
absTerm
7256
def
401
ref
7253
ref
varTerm
7257
def
appTerm
200
ref
appTerm
7258
def
appTerm
7259
def
absTerm
7260
def
401
ref
7252
ref
varTerm
7261
def
appTerm
19
ref
appTerm
7262
def
appTerm
7263
def
absTerm
7264
def
368
ref
7255
ref
varTerm
7265
def
appTerm
7266
def
196
ref
appTerm
7267
def
appTerm
7268
def
absTerm
7269
def
368
ref
7254
ref
varTerm
7270
def
appTerm
7271
def
196
ref
appTerm
7272
def
appTerm
7273
def
absTerm
7274
def
330
remove
334
remove
7270
ref
appTerm
7265
ref
appTerm
appTerm
7275
def
appTerm
absTerm
390
ref
7251
ref
varTerm
7276
def
appTerm
359
ref
appTerm
7277
def
appTerm
absTerm
5435
ref
appTerm
7278
def
absTerm
7279
def
appTerm
7280
def
absTerm
7281
def
appTerm
7282
def
absTerm
7283
def
appTerm
7284
def
absTerm
7285
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
ref
nil
50
ref
7284
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7283
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7251
ref
nil
50
ref
7282
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7281
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7252
ref
nil
50
ref
7280
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7279
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7253
ref
nil
50
ref
7278
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
7254
ref
7255
ref
7274
ref
refl
nil
192
ref
7265
ref
nil
cons
7286
def
cons
6
ref
7270
ref
nil
cons
7287
def
cons
nil
cons
cons
nil
cons
cons
7288
def
2044
remove
subst
7289
def
appThm
absThm
7277
ref
refl
7290
def
appThm
absThm
5435
ref
refl
7291
def
appThm
sym
55
ref
nil
67
ref
180
remove
cons
7292
def
68
ref
947
ref
7254
ref
10
ref
7270
ref
appTerm
7293
def
5435
ref
appTerm
7294
def
absTerm
7295
def
appTerm
7296
def
nil
cons
7297
def
cons
nil
cons
7298
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
5456
remove
nil
cons
cons
713
ref
subst
appThm
7296
ref
refl
appThm
nil
7254
ref
5455
ref
cons
nil
cons
nil
cons
cons
nil
67
ref
7294
ref
nil
cons
7299
def
cons
7300
def
7298
remove
cons
nil
cons
cons
7301
def
85
ref
subst
7301
remove
138
ref
subst
7295
ref
7270
ref
appTerm
7302
def
betaConv
7303
def
sym
7294
remove
assume
7304
def
eqMp
23
ref
5
ref
7295
ref
nil
cons
cons
7305
def
130
ref
7287
remove
cons
nil
cons
7306
def
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7299
remove
cons
7307
def
106
ref
7297
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7308
def
nil
67
ref
7297
remove
cons
7309
def
68
ref
7254
ref
7255
ref
7274
ref
16
ref
7270
ref
appTerm
7310
def
7265
ref
appTerm
7311
def
appTerm
7312
def
absTerm
7313
def
7277
ref
appTerm
7314
def
absTerm
7315
def
5435
ref
appTerm
7316
def
nil
cons
7317
def
cons
nil
cons
7318
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7254
ref
69
ref
7302
ref
appTerm
7319
def
7316
ref
appTerm
7320
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7254
ref
nil
50
ref
7320
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7302
ref
nil
cons
7321
def
cons
7322
def
7318
ref
cons
nil
cons
cons
7323
def
85
ref
subst
7323
remove
138
ref
subst
7303
remove
7302
remove
assume
eqMp
7324
def
nil
7300
ref
7318
remove
cons
nil
cons
cons
7325
def
129
ref
subst
proveHyp
7325
ref
85
ref
subst
7325
remove
138
ref
subst
28
ref
"_30800"
1
ref
var
7326
def
7315
ref
7326
remove
varTerm
appTerm
absTerm
7327
def
5435
ref
appTerm
7328
def
appTerm
refl
7327
ref
7270
ref
appTerm
betaConv
appThm
108
ref
7328
remove
betaConv
appThm
7315
remove
7270
ref
appTerm
7329
def
refl
appThm
trans
7327
remove
refl
7304
ref
sym
7330
def
appThm
eqMp
sym
7329
remove
betaConv
sym
55
ref
nil
7292
ref
68
ref
947
ref
7255
ref
10
ref
7265
ref
appTerm
7277
ref
appTerm
7331
def
absTerm
7332
def
appTerm
7333
def
nil
cons
7334
def
cons
nil
cons
7335
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7277
ref
nil
cons
7336
def
cons
nil
cons
nil
cons
cons
713
ref
subst
appThm
7333
ref
refl
appThm
nil
7255
ref
7336
ref
cons
nil
cons
nil
cons
cons
nil
67
ref
7331
ref
nil
cons
7337
def
cons
7338
def
7335
remove
cons
nil
cons
cons
7339
def
85
ref
subst
7339
remove
138
ref
subst
7332
ref
7265
ref
appTerm
7340
def
betaConv
7341
def
sym
7331
remove
assume
7342
def
eqMp
23
ref
5
ref
7332
ref
nil
cons
cons
7343
def
130
ref
7286
remove
cons
nil
cons
7344
def
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7337
remove
cons
7345
def
106
ref
7334
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7346
def
nil
67
ref
7334
remove
cons
7347
def
68
ref
7314
ref
nil
cons
7348
def
cons
nil
cons
7349
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7255
ref
69
ref
7340
ref
appTerm
7350
def
7314
ref
appTerm
7351
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7255
ref
nil
50
ref
7351
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7340
ref
nil
cons
7352
def
cons
7353
def
7349
ref
cons
nil
cons
cons
7354
def
85
ref
subst
7354
remove
138
ref
subst
7341
remove
7340
remove
assume
eqMp
7355
def
nil
7338
ref
7349
remove
cons
nil
cons
cons
7356
def
129
ref
subst
proveHyp
7356
ref
85
ref
subst
7356
remove
138
ref
subst
28
ref
"_30802"
1
ref
var
7357
def
7313
ref
7357
remove
varTerm
appTerm
absTerm
7358
def
7277
ref
appTerm
7359
def
appTerm
refl
7358
ref
7265
ref
appTerm
betaConv
appThm
108
ref
7359
remove
betaConv
appThm
7313
remove
7265
ref
appTerm
7360
def
refl
appThm
trans
7358
remove
refl
7342
ref
sym
7361
def
appThm
eqMp
sym
7360
remove
betaConv
sym
55
ref
nil
7292
ref
68
ref
947
ref
190
ref
1393
ref
7311
ref
appTerm
7362
def
absTerm
7363
def
appTerm
7364
def
nil
cons
7365
def
cons
nil
cons
7366
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7311
ref
nil
cons
7367
def
cons
nil
cons
nil
cons
cons
713
ref
subst
appThm
7364
ref
refl
appThm
nil
190
ref
7367
remove
cons
nil
cons
nil
cons
cons
nil
67
ref
7362
ref
nil
cons
7368
def
cons
7369
def
7366
remove
cons
nil
cons
cons
7370
def
85
ref
subst
7370
remove
138
ref
subst
7363
ref
196
ref
appTerm
7371
def
betaConv
7372
def
sym
7362
remove
assume
7373
def
eqMp
23
ref
5
ref
7363
ref
nil
cons
cons
7374
def
1389
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7368
remove
cons
7375
def
106
ref
7365
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7376
def
nil
67
ref
7365
remove
cons
7377
def
68
ref
7312
ref
nil
cons
7378
def
cons
nil
cons
7379
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
190
ref
69
ref
7371
ref
appTerm
7380
def
7312
ref
appTerm
7381
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
7381
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7371
ref
nil
cons
7382
def
cons
7383
def
7379
ref
cons
nil
cons
cons
7384
def
85
ref
subst
7384
remove
138
ref
subst
7372
remove
7371
remove
assume
eqMp
7385
def
nil
7369
ref
7379
remove
cons
nil
cons
cons
7386
def
129
ref
subst
proveHyp
7386
ref
85
ref
subst
7386
remove
138
ref
subst
28
ref
"_30806"
1
ref
var
7387
def
7274
ref
7387
remove
varTerm
appTerm
absTerm
7388
def
7311
ref
appTerm
7389
def
appTerm
refl
7388
ref
196
ref
appTerm
betaConv
appThm
108
ref
7389
remove
betaConv
appThm
7274
remove
196
ref
appTerm
7390
def
refl
appThm
trans
7388
remove
refl
7373
ref
sym
7391
def
appThm
eqMp
sym
7390
remove
betaConv
sym
55
ref
nil
7292
ref
68
ref
947
ref
6
ref
290
remove
7272
ref
appTerm
7392
def
absTerm
7393
def
appTerm
7394
def
nil
cons
7395
def
cons
nil
cons
7396
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7272
ref
nil
cons
7397
def
cons
nil
cons
nil
cons
cons
713
ref
subst
appThm
7394
ref
refl
appThm
nil
6
ref
7397
remove
cons
nil
cons
nil
cons
cons
nil
67
ref
7392
ref
nil
cons
7398
def
cons
7399
def
7396
remove
cons
nil
cons
cons
7400
def
85
ref
subst
7400
remove
138
ref
subst
7393
ref
19
ref
appTerm
7401
def
betaConv
7402
def
sym
7392
remove
assume
7403
def
eqMp
23
ref
5
ref
7393
ref
nil
cons
cons
7404
def
132
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7398
remove
cons
7405
def
106
ref
7395
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7406
def
nil
67
ref
7395
remove
cons
7407
def
68
ref
7273
ref
nil
cons
7408
def
cons
nil
cons
7409
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
6
ref
69
ref
7401
ref
appTerm
7410
def
7273
ref
appTerm
7411
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
7411
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7401
ref
nil
cons
7412
def
cons
7413
def
7409
ref
cons
nil
cons
cons
7414
def
85
ref
subst
7414
remove
138
ref
subst
7402
remove
7401
remove
assume
eqMp
7415
def
nil
7399
ref
7409
remove
cons
nil
cons
cons
7416
def
129
ref
subst
proveHyp
7416
ref
85
ref
subst
7416
remove
138
ref
subst
28
ref
"_30812"
1
ref
var
7417
def
7269
ref
7417
remove
varTerm
appTerm
absTerm
7418
def
7272
ref
appTerm
7419
def
appTerm
refl
7418
ref
19
ref
appTerm
betaConv
appThm
108
ref
7419
remove
betaConv
appThm
7269
remove
19
ref
appTerm
7420
def
refl
appThm
trans
7418
remove
refl
7403
ref
sym
7421
def
appThm
eqMp
sym
7420
remove
betaConv
sym
55
ref
nil
7292
ref
68
ref
947
ref
192
ref
351
remove
7267
ref
appTerm
7422
def
absTerm
7423
def
appTerm
7424
def
nil
cons
7425
def
cons
nil
cons
7426
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7267
ref
nil
cons
7427
def
cons
nil
cons
nil
cons
cons
713
ref
subst
appThm
7424
ref
refl
appThm
nil
192
ref
7427
remove
cons
nil
cons
nil
cons
cons
nil
67
ref
7422
ref
nil
cons
7428
def
cons
7429
def
7426
remove
cons
nil
cons
cons
7430
def
85
ref
subst
7430
remove
138
ref
subst
7423
ref
200
ref
appTerm
7431
def
betaConv
7432
def
sym
7422
remove
assume
7433
def
eqMp
23
ref
5
ref
7423
ref
nil
cons
cons
7434
def
238
ref
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7428
remove
cons
7435
def
106
ref
7425
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7436
def
nil
67
ref
7425
remove
cons
7437
def
68
ref
7268
ref
nil
cons
7438
def
cons
nil
cons
7439
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
192
ref
69
ref
7431
ref
appTerm
7440
def
7268
ref
appTerm
7441
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
7441
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7431
ref
nil
cons
7442
def
cons
7443
def
7439
ref
cons
nil
cons
cons
7444
def
85
ref
subst
7444
remove
138
ref
subst
7432
remove
7431
remove
assume
eqMp
7445
def
nil
7429
ref
7439
remove
cons
nil
cons
cons
7446
def
129
ref
subst
proveHyp
7446
ref
85
ref
subst
7446
remove
138
ref
subst
28
ref
"_30820"
1
ref
var
7447
def
7264
ref
7447
remove
varTerm
appTerm
absTerm
7448
def
7267
ref
appTerm
7449
def
appTerm
refl
7448
ref
200
ref
appTerm
betaConv
appThm
108
ref
7449
remove
betaConv
appThm
7264
remove
200
ref
appTerm
7450
def
refl
appThm
trans
7448
remove
refl
7433
ref
sym
7451
def
appThm
eqMp
sym
7450
remove
betaConv
sym
55
ref
nil
7292
ref
68
ref
947
ref
130
ref
10
ref
1710
ref
appTerm
7262
ref
appTerm
7452
def
absTerm
7453
def
appTerm
7454
def
nil
cons
7455
def
cons
nil
cons
7456
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7262
ref
nil
cons
cons
nil
cons
nil
cons
cons
7457
def
713
ref
subst
appThm
7454
ref
refl
appThm
7457
remove
nil
67
ref
7452
ref
nil
cons
7458
def
cons
7459
def
7456
remove
cons
nil
cons
cons
7460
def
85
ref
subst
7460
remove
138
ref
subst
7453
ref
1710
ref
appTerm
7461
def
betaConv
7462
def
sym
7452
remove
assume
7463
def
eqMp
23
ref
5
ref
7453
remove
nil
cons
cons
7464
def
4635
remove
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7458
remove
cons
7465
def
106
ref
7455
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7466
def
nil
67
ref
7455
remove
cons
7467
def
68
ref
7263
ref
nil
cons
7468
def
cons
nil
cons
7469
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
130
ref
69
ref
7461
ref
appTerm
7470
def
7263
ref
appTerm
7471
def
absTerm
7472
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
7471
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7461
ref
nil
cons
7473
def
cons
7474
def
7469
ref
cons
nil
cons
cons
7475
def
85
ref
subst
7475
remove
138
ref
subst
7462
remove
7461
remove
assume
eqMp
7476
def
nil
7459
ref
7469
remove
cons
nil
cons
cons
7477
def
129
ref
subst
proveHyp
7477
ref
85
ref
subst
7477
remove
138
ref
subst
28
ref
"_30830"
1
ref
var
7478
def
7260
ref
7478
remove
varTerm
appTerm
absTerm
7479
def
7262
ref
appTerm
7480
def
appTerm
refl
7479
ref
1710
ref
appTerm
betaConv
appThm
108
ref
7480
remove
betaConv
appThm
7260
remove
1710
ref
appTerm
7481
def
refl
appThm
trans
7479
remove
refl
7463
ref
sym
7482
def
appThm
eqMp
sym
7481
remove
betaConv
sym
55
ref
nil
7292
remove
68
ref
947
remove
847
ref
1405
remove
7258
ref
appTerm
7483
def
absTerm
7484
def
appTerm
7485
def
nil
cons
7486
def
cons
nil
cons
7487
def
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
nil
130
ref
7258
ref
nil
cons
7488
def
cons
nil
cons
nil
cons
cons
713
ref
subst
appThm
7485
ref
refl
appThm
nil
847
ref
7488
remove
cons
nil
cons
nil
cons
cons
nil
67
ref
7483
ref
nil
cons
7489
def
cons
7490
def
7487
remove
cons
nil
cons
cons
7491
def
85
ref
subst
7491
remove
138
ref
subst
7484
ref
1404
ref
appTerm
7492
def
betaConv
7493
def
sym
7483
remove
assume
7494
def
eqMp
23
ref
5
ref
7484
ref
nil
cons
cons
7495
def
4636
remove
cons
nil
cons
cons
1176
ref
subst
proveHyp
eqMp
nil
104
ref
7489
remove
cons
7496
def
106
ref
7486
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
7497
def
nil
67
ref
7486
remove
cons
7498
def
68
ref
7259
ref
nil
cons
7499
def
cons
nil
cons
7500
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
847
ref
69
ref
7492
ref
appTerm
7501
def
7259
ref
appTerm
7502
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
7502
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
7492
ref
nil
cons
7503
def
cons
7504
def
7500
ref
cons
nil
cons
cons
7505
def
85
ref
subst
7505
remove
138
ref
subst
7493
remove
7492
remove
assume
eqMp
7506
def
nil
7490
ref
7500
remove
cons
nil
cons
cons
7507
def
129
ref
subst
proveHyp
7507
ref
85
ref
subst
7507
remove
138
ref
subst
28
ref
"_30842"
1
ref
var
7508
def
7256
ref
7508
remove
varTerm
appTerm
absTerm
7509
def
7258
ref
appTerm
7510
def
appTerm
refl
7509
ref
1404
ref
appTerm
betaConv
appThm
108
ref
7510
remove
betaConv
appThm
7256
remove
1404
ref
appTerm
7511
def
refl
appThm
trans
7509
remove
refl
7494
ref
sym
7512
def
appThm
eqMp
sym
7511
remove
betaConv
sym
5278
remove
nil
67
ref
4601
remove
cons
4609
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
67
ref
418
ref
1393
remove
17
ref
appTerm
7513
def
appTerm
7514
def
nil
cons
7515
def
cons
7516
def
68
ref
4605
ref
cons
nil
cons
7517
def
cons
nil
cons
cons
7518
def
85
ref
subst
7518
remove
138
ref
subst
nil
1410
ref
7517
ref
cons
nil
cons
cons
7519
def
85
ref
subst
7519
remove
138
ref
subst
nil
421
ref
7517
ref
cons
nil
cons
cons
7520
def
85
ref
subst
7520
remove
138
ref
subst
28
ref
"_30446"
1
ref
var
7521
def
1894
ref
7521
remove
varTerm
appTerm
19
ref
appTerm
absTerm
7522
def
1710
ref
appTerm
7523
def
appTerm
refl
7522
ref
7262
ref
appTerm
betaConv
appThm
108
ref
7523
remove
betaConv
appThm
1894
ref
7262
ref
appTerm
19
ref
appTerm
7524
def
refl
appThm
trans
7522
remove
refl
7463
remove
appThm
eqMp
sym
nil
1410
remove
68
ref
7524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1464
remove
1419
ref
7261
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1923
ref
subst
eqMp
eqMp
nil
7153
remove
68
ref
5274
remove
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
28
ref
"_30448"
1
ref
var
7525
def
1894
ref
7525
remove
varTerm
appTerm
200
ref
appTerm
absTerm
7526
def
1404
ref
appTerm
7527
def
appTerm
refl
7526
ref
7258
ref
appTerm
betaConv
appThm
108
ref
7527
remove
betaConv
appThm
1894
ref
7258
ref
appTerm
200
ref
appTerm
7528
def
refl
appThm
trans
7526
remove
refl
7494
remove
appThm
eqMp
sym
nil
421
remove
68
ref
7528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
1591
remove
1419
ref
7257
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1923
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
583
remove
106
ref
4605
ref
cons
nil
cons
7529
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
585
remove
7517
ref
cons
nil
cons
cons
7530
def
85
ref
subst
7530
remove
138
ref
subst
7451
ref
nil
67
ref
10
ref
7267
ref
appTerm
7531
def
200
ref
appTerm
7532
def
nil
cons
7533
def
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
436
ref
441
ref
28
ref
10
ref
7266
ref
437
ref
appTerm
appTerm
17
ref
appTerm
appTerm
1894
ref
7265
ref
appTerm
7534
def
437
ref
appTerm
appTerm
appTerm
absTerm
7535
def
196
ref
appTerm
7536
def
betaConv
1419
ref
65
ref
436
ref
441
ref
28
ref
2650
remove
appTerm
1927
remove
appTerm
appTerm
absTerm
appTerm
absTerm
7537
def
7265
ref
appTerm
7538
def
betaConv
nil
65
ref
7537
ref
appTerm
7539
def
axiom
7540
def
nil
67
ref
7539
remove
nil
cons
cons
7541
def
68
ref
7538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7537
ref
nil
cons
cons
7542
def
7344
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7535
ref
appTerm
nil
cons
cons
68
ref
7536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7535
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
69
ref
7514
ref
appTerm
7543
def
28
ref
7531
ref
17
ref
appTerm
7544
def
appTerm
7534
ref
196
ref
appTerm
7545
def
appTerm
7546
def
appTerm
nil
cons
cons
68
ref
69
ref
7532
remove
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
151
ref
447
ref
nil
7516
ref
68
ref
28
ref
7513
ref
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
104
ref
7513
ref
nil
cons
7547
def
cons
7548
def
nil
cons
nil
cons
cons
487
ref
subst
eqMp
7549
def
appThm
490
ref
trans
appThm
7550
def
7546
ref
refl
appThm
nil
50
ref
7546
ref
nil
cons
7551
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
nil
50
ref
7533
remove
cons
nil
cons
nil
cons
cons
898
ref
subst
447
ref
7531
remove
refl
597
remove
appThm
appThm
trans
appThm
sym
nil
67
ref
7551
ref
cons
68
ref
418
ref
7544
ref
appTerm
nil
cons
7552
def
cons
nil
cons
cons
nil
cons
cons
7553
def
85
ref
subst
7553
remove
138
ref
subst
28
ref
"_30360"
2
ref
var
7554
def
418
ref
7554
remove
varTerm
appTerm
absTerm
7555
def
7544
remove
appTerm
7556
def
appTerm
refl
7555
ref
7545
ref
appTerm
betaConv
appThm
108
ref
7556
remove
betaConv
appThm
418
ref
7545
remove
appTerm
refl
appThm
trans
7555
remove
refl
7557
def
7546
remove
assume
appThm
eqMp
sym
28
ref
"_30422"
1
ref
var
7558
def
418
ref
7534
ref
7558
remove
varTerm
appTerm
appTerm
absTerm
7559
def
196
ref
appTerm
7560
def
appTerm
refl
7559
ref
7311
ref
appTerm
betaConv
appThm
108
ref
7560
remove
betaConv
appThm
418
ref
7534
remove
7311
ref
appTerm
appTerm
refl
appThm
trans
7559
remove
refl
7373
ref
appThm
eqMp
sym
28
ref
"_30432"
1
ref
var
7561
def
418
ref
1894
ref
7561
remove
varTerm
7562
def
appTerm
7310
ref
7562
remove
appTerm
appTerm
appTerm
absTerm
7563
def
7265
ref
appTerm
7564
def
appTerm
refl
7563
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7564
remove
betaConv
appThm
418
ref
1894
ref
7277
ref
appTerm
7565
def
7310
ref
7277
ref
appTerm
7566
def
appTerm
appTerm
refl
appThm
trans
7563
remove
refl
7342
ref
appThm
eqMp
sym
28
ref
"_30440"
1
ref
var
7567
def
418
ref
7565
ref
16
ref
7567
remove
varTerm
appTerm
7277
ref
appTerm
appTerm
appTerm
absTerm
7568
def
7270
ref
appTerm
7569
def
appTerm
refl
7568
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7569
remove
betaConv
appThm
418
ref
7565
remove
5443
remove
7277
ref
appTerm
7570
def
appTerm
appTerm
refl
appThm
trans
7568
remove
refl
7304
ref
appThm
eqMp
sym
nil
436
ref
7570
ref
nil
cons
7571
def
cons
7572
def
1419
ref
7336
ref
cons
nil
cons
cons
nil
cons
cons
6405
ref
subst
sym
58
ref
447
ref
nil
2360
remove
1419
ref
7276
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
436
ref
28
ref
1506
remove
17
ref
appTerm
appTerm
57
ref
2196
remove
appTerm
439
remove
appTerm
appTerm
absTerm
7573
def
437
ref
appTerm
7574
def
betaConv
1419
ref
65
ref
7573
ref
appTerm
7575
def
absTerm
7576
def
1420
remove
appTerm
7577
def
betaConv
nil
65
ref
7576
ref
appTerm
7578
def
axiom
nil
67
ref
7578
remove
nil
cons
cons
68
ref
7577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7576
remove
nil
cons
cons
1520
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7575
remove
nil
cons
cons
68
ref
7574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7573
remove
nil
cons
cons
1471
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
57
ref
10
ref
7276
remove
appTerm
17
ref
appTerm
7579
def
appTerm
refl
2548
remove
appThm
nil
50
ref
7579
remove
nil
cons
cons
nil
cons
nil
cons
cons
5264
remove
subst
trans
trans
7580
def
appThm
490
ref
trans
appThm
nil
192
ref
7336
remove
cons
7581
def
6
ref
5455
ref
cons
nil
cons
cons
nil
cons
cons
7582
def
251
remove
subst
7583
def
appThm
186
ref
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
418
ref
10
ref
7277
ref
appTerm
17
ref
appTerm
7584
def
appTerm
appTerm
59
ref
7570
ref
appTerm
7585
def
7277
ref
appTerm
7586
def
appTerm
nil
cons
cons
68
ref
1593
remove
7570
ref
appTerm
7587
def
7277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
7581
remove
6
ref
7571
remove
cons
nil
cons
7588
def
cons
nil
cons
cons
192
ref
69
ref
717
remove
286
remove
appTerm
appTerm
2749
remove
appTerm
absTerm
7589
def
200
ref
appTerm
7590
def
betaConv
6
ref
65
ref
7589
ref
appTerm
7591
def
absTerm
7592
def
19
ref
appTerm
7593
def
betaConv
nil
65
ref
7592
ref
appTerm
7594
def
axiom
nil
67
ref
7594
remove
nil
cons
cons
68
ref
7593
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7592
remove
nil
cons
cons
132
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7591
remove
nil
cons
cons
68
ref
7590
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7589
remove
nil
cons
cons
238
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7595
def
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7551
remove
cons
106
ref
7552
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
5247
remove
nil
cons
nil
cons
cons
486
ref
subst
7596
def
proveHyp
eqMp
nil
450
ref
7529
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
610
remove
nil
450
remove
611
remove
612
ref
4605
remove
cons
nil
cons
7597
def
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1649
remove
7529
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
2862
remove
7517
ref
cons
nil
cons
cons
7598
def
85
ref
subst
7598
remove
138
ref
subst
7421
ref
nil
67
ref
10
ref
7272
ref
appTerm
7599
def
19
ref
appTerm
7600
def
nil
cons
7601
def
cons
457
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
436
ref
441
remove
28
ref
10
ref
7271
ref
437
ref
appTerm
appTerm
17
ref
appTerm
appTerm
1894
ref
7270
ref
appTerm
7602
def
437
ref
appTerm
appTerm
appTerm
absTerm
7603
def
196
ref
appTerm
7604
def
betaConv
7537
remove
7270
ref
appTerm
7605
def
betaConv
7540
remove
nil
7541
remove
68
ref
7605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7542
remove
7306
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7603
ref
appTerm
nil
cons
cons
68
ref
7604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7603
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7543
ref
28
ref
7599
ref
17
ref
appTerm
7606
def
appTerm
7602
ref
196
ref
appTerm
7607
def
appTerm
7608
def
appTerm
nil
cons
cons
68
ref
69
ref
7600
remove
appTerm
448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
7550
remove
7608
ref
refl
appThm
nil
50
ref
7608
ref
nil
cons
7609
def
cons
nil
cons
nil
cons
cons
498
ref
subst
trans
appThm
nil
50
ref
7601
remove
cons
nil
cons
nil
cons
cons
898
ref
subst
447
ref
7599
remove
refl
2865
remove
appThm
appThm
trans
appThm
sym
nil
67
ref
7609
ref
cons
68
ref
418
ref
7606
ref
appTerm
nil
cons
7610
def
cons
nil
cons
cons
nil
cons
cons
7611
def
85
ref
subst
7611
remove
138
ref
subst
28
ref
"_30288"
2
ref
var
7612
def
418
ref
7612
remove
varTerm
appTerm
absTerm
7613
def
7606
remove
appTerm
7614
def
appTerm
refl
7613
remove
7607
ref
appTerm
betaConv
appThm
108
ref
7614
remove
betaConv
appThm
418
ref
7607
remove
appTerm
refl
appThm
trans
7557
remove
7608
remove
assume
appThm
eqMp
sym
28
ref
"_30342"
1
ref
var
7615
def
418
ref
7602
ref
7615
remove
varTerm
appTerm
appTerm
absTerm
7616
def
196
ref
appTerm
7617
def
appTerm
refl
7616
ref
7311
ref
appTerm
betaConv
appThm
108
ref
7617
remove
betaConv
appThm
418
ref
7602
ref
7311
ref
appTerm
appTerm
refl
appThm
trans
7616
remove
refl
7373
ref
appThm
eqMp
sym
28
ref
"_30350"
1
ref
var
7618
def
418
ref
7602
ref
7310
ref
7618
remove
varTerm
appTerm
appTerm
appTerm
absTerm
7619
def
7265
ref
appTerm
7620
def
appTerm
refl
7619
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7620
remove
betaConv
appThm
418
ref
7602
remove
7566
ref
appTerm
appTerm
refl
appThm
trans
7619
remove
refl
7342
ref
appThm
eqMp
sym
28
ref
"_30356"
1
ref
var
7621
def
418
ref
1894
ref
7621
remove
varTerm
7622
def
appTerm
16
ref
7622
remove
appTerm
7277
ref
appTerm
appTerm
appTerm
absTerm
7623
def
7270
ref
appTerm
7624
def
appTerm
refl
7623
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7624
remove
betaConv
appThm
418
ref
1894
remove
5435
ref
appTerm
7570
ref
appTerm
appTerm
refl
appThm
trans
7623
remove
refl
7304
ref
appThm
eqMp
sym
nil
7572
remove
1419
ref
5455
ref
cons
nil
cons
cons
nil
cons
cons
6405
remove
subst
sym
58
ref
5472
remove
appThm
7582
remove
240
remove
subst
7625
def
appThm
186
remove
trans
sym
55
ref
eqMp
nil
67
ref
57
ref
5442
remove
appTerm
7585
remove
5435
ref
appTerm
7626
def
appTerm
nil
cons
cons
68
ref
7587
remove
5435
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
192
ref
5455
remove
cons
7588
remove
cons
nil
cons
cons
7595
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7609
remove
cons
106
ref
7610
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
7596
ref
proveHyp
eqMp
nil
1439
ref
7529
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
2873
remove
nil
1439
remove
2874
remove
7597
ref
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
7627
def
eqMp
nil
104
ref
7515
ref
cons
7628
def
7529
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
67
ref
7547
ref
cons
7629
def
7517
ref
cons
nil
cons
cons
7630
def
85
ref
subst
7630
remove
138
ref
subst
7391
ref
nil
67
ref
10
ref
7311
ref
appTerm
7631
def
196
ref
appTerm
nil
cons
7632
def
cons
457
remove
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
50
ref
7632
remove
cons
nil
cons
nil
cons
cons
898
remove
subst
447
ref
7631
ref
refl
7513
ref
assume
appThm
7288
remove
2875
remove
subst
trans
appThm
trans
sym
28
ref
"_30206"
1
ref
var
7633
def
418
ref
57
ref
7293
remove
17
ref
appTerm
appTerm
7634
def
10
ref
7633
remove
varTerm
appTerm
17
ref
appTerm
appTerm
appTerm
absTerm
7635
def
7265
ref
appTerm
7636
def
appTerm
refl
7635
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7636
remove
betaConv
appThm
418
ref
7634
remove
7584
ref
appTerm
appTerm
refl
appThm
trans
7635
remove
refl
7342
ref
appThm
eqMp
sym
28
ref
"_30210"
1
ref
var
7637
def
418
ref
57
ref
10
ref
7637
remove
varTerm
appTerm
17
ref
appTerm
appTerm
7584
ref
appTerm
appTerm
absTerm
7638
def
7270
ref
appTerm
7639
def
appTerm
refl
7638
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7639
remove
betaConv
appThm
418
ref
57
ref
5441
remove
appTerm
7584
remove
appTerm
appTerm
refl
appThm
trans
7638
remove
refl
7304
ref
appThm
eqMp
sym
447
ref
58
remove
5471
remove
appThm
7580
remove
appThm
900
remove
2519
remove
subst
trans
appThm
490
ref
trans
sym
55
ref
eqMp
eqMp
eqMp
eqMp
eqMp
7640
def
7596
remove
proveHyp
eqMp
nil
7548
ref
7529
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
603
remove
7513
ref
appTerm
7641
def
betaConv
606
remove
nil
607
remove
68
ref
7641
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
167
remove
608
remove
169
ref
7547
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7642
def
nil
7548
ref
106
ref
7515
remove
cons
7643
def
7597
remove
cons
cons
nil
cons
cons
628
ref
subst
proveHyp
proveHyp
proveHyp
nil
4606
ref
68
ref
69
ref
4592
ref
appTerm
4592
ref
appTerm
7644
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
4607
ref
cons
4609
remove
cons
nil
cons
cons
7645
def
85
ref
subst
7645
remove
138
ref
subst
4592
ref
assume
eqMp
nil
104
ref
4607
ref
cons
5248
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
ref
4584
ref
appTerm
7644
remove
appTerm
nil
cons
cons
68
ref
69
ref
4593
remove
appTerm
4592
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
4607
remove
cons
4608
remove
4606
remove
nil
cons
cons
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7496
ref
106
ref
7499
remove
cons
nil
cons
7646
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7503
remove
cons
7647
def
7646
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
7484
remove
4139
ref
appTerm
appTerm
7648
def
7259
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7485
remove
appTerm
7649
def
7259
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7495
ref
7646
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7465
ref
106
ref
7468
remove
cons
nil
cons
7650
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7473
remove
cons
7651
def
7650
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
7472
remove
appTerm
nil
cons
cons
68
ref
69
ref
7454
remove
appTerm
7652
def
7263
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7464
ref
7650
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7435
ref
106
ref
7438
remove
cons
nil
cons
7653
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7442
remove
cons
7654
def
7653
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7423
remove
1710
ref
appTerm
appTerm
7655
def
7268
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7424
remove
appTerm
7656
def
7268
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7434
ref
7653
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7405
ref
106
ref
7408
remove
cons
nil
cons
7657
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7412
remove
cons
7658
def
7657
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7393
remove
1710
ref
appTerm
appTerm
7659
def
7273
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7394
remove
appTerm
7660
def
7273
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7404
ref
7657
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7375
ref
106
ref
7378
remove
cons
nil
cons
7661
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7382
remove
cons
7662
def
7661
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7363
remove
1710
ref
appTerm
appTerm
7663
def
7312
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7364
remove
appTerm
7664
def
7312
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7374
ref
7661
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7345
ref
106
ref
7348
remove
cons
nil
cons
7665
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7352
remove
cons
7666
def
7665
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7332
remove
1710
ref
appTerm
appTerm
7667
def
7314
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7333
remove
appTerm
7668
def
7314
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7343
ref
7665
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7307
ref
106
ref
7317
remove
cons
nil
cons
7669
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7321
remove
cons
7670
def
7669
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
69
ref
7295
remove
1710
ref
appTerm
appTerm
7671
def
7316
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
7296
remove
appTerm
7672
def
7316
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7305
ref
7669
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
7285
remove
appTerm
thm
nil
5
ref
5427
ref
65
ref
7251
ref
65
ref
7252
ref
65
ref
7253
ref
7254
ref
7255
ref
190
ref
6
ref
192
ref
130
ref
847
ref
10
ref
401
ref
4591
ref
appTerm
7673
def
19
ref
appTerm
appTerm
1710
ref
appTerm
7674
def
absTerm
7675
def
7258
ref
appTerm
7676
def
absTerm
7677
def
7262
ref
appTerm
7678
def
absTerm
7679
def
7267
ref
appTerm
7680
def
absTerm
7681
def
7272
ref
appTerm
7682
def
absTerm
7683
def
7275
ref
appTerm
absTerm
7277
ref
appTerm
absTerm
5435
ref
appTerm
7684
def
absTerm
7685
def
appTerm
7686
def
absTerm
7687
def
appTerm
7688
def
absTerm
7689
def
appTerm
7690
def
absTerm
7691
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
ref
nil
50
ref
7690
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7689
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7251
ref
nil
50
ref
7688
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7687
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7252
ref
nil
50
ref
7686
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7685
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7253
ref
nil
50
ref
7684
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
7254
ref
7255
ref
7683
ref
refl
7289
ref
appThm
absThm
7290
ref
appThm
absThm
7291
ref
appThm
sym
7308
ref
nil
7309
ref
68
ref
7254
ref
7255
ref
7683
ref
7311
ref
appTerm
7692
def
absTerm
7693
def
7277
ref
appTerm
7694
def
absTerm
7695
def
5435
ref
appTerm
7696
def
nil
cons
7697
def
cons
nil
cons
7698
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7254
ref
7319
ref
7696
ref
appTerm
7699
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7254
ref
nil
50
ref
7699
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7322
ref
7698
ref
cons
nil
cons
cons
7700
def
85
ref
subst
7700
remove
138
ref
subst
7324
ref
nil
7300
ref
7698
remove
cons
nil
cons
cons
7701
def
129
ref
subst
proveHyp
7701
ref
85
ref
subst
7701
remove
138
ref
subst
28
ref
"_30100"
1
ref
var
7702
def
7695
ref
7702
remove
varTerm
appTerm
absTerm
7703
def
5435
ref
appTerm
7704
def
appTerm
refl
7703
ref
7270
ref
appTerm
betaConv
appThm
108
ref
7704
remove
betaConv
appThm
7695
remove
7270
ref
appTerm
7705
def
refl
appThm
trans
7703
remove
refl
7330
ref
appThm
eqMp
sym
7705
remove
betaConv
sym
7346
ref
nil
7347
ref
68
ref
7694
ref
nil
cons
7706
def
cons
nil
cons
7707
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7255
ref
7350
ref
7694
ref
appTerm
7708
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7255
ref
nil
50
ref
7708
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7353
ref
7707
ref
cons
nil
cons
cons
7709
def
85
ref
subst
7709
remove
138
ref
subst
7355
ref
nil
7338
ref
7707
remove
cons
nil
cons
cons
7710
def
129
ref
subst
proveHyp
7710
ref
85
ref
subst
7710
remove
138
ref
subst
28
ref
"_30102"
1
ref
var
7711
def
7693
ref
7711
remove
varTerm
appTerm
absTerm
7712
def
7277
ref
appTerm
7713
def
appTerm
refl
7712
ref
7265
ref
appTerm
betaConv
appThm
108
ref
7713
remove
betaConv
appThm
7693
remove
7265
ref
appTerm
7714
def
refl
appThm
trans
7712
remove
refl
7361
ref
appThm
eqMp
sym
7714
remove
betaConv
sym
7376
ref
nil
7377
ref
68
ref
7692
ref
nil
cons
7715
def
cons
nil
cons
7716
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
190
ref
7380
ref
7692
ref
appTerm
7717
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
7717
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7383
ref
7716
ref
cons
nil
cons
cons
7718
def
85
ref
subst
7718
remove
138
ref
subst
7385
ref
nil
7369
ref
7716
remove
cons
nil
cons
cons
7719
def
129
ref
subst
proveHyp
7719
ref
85
ref
subst
7719
remove
138
ref
subst
28
ref
"_30106"
1
ref
var
7720
def
7683
ref
7720
remove
varTerm
appTerm
absTerm
7721
def
7311
ref
appTerm
7722
def
appTerm
refl
7721
ref
196
ref
appTerm
betaConv
appThm
108
ref
7722
remove
betaConv
appThm
7683
remove
196
ref
appTerm
7723
def
refl
appThm
trans
7721
remove
refl
7391
ref
appThm
eqMp
sym
7723
remove
betaConv
sym
7406
ref
nil
7407
ref
68
ref
7682
ref
nil
cons
7724
def
cons
nil
cons
7725
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
6
ref
7410
ref
7682
ref
appTerm
7726
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
7726
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7413
ref
7725
ref
cons
nil
cons
cons
7727
def
85
ref
subst
7727
remove
138
ref
subst
7415
ref
nil
7399
ref
7725
remove
cons
nil
cons
cons
7728
def
129
ref
subst
proveHyp
7728
ref
85
ref
subst
7728
remove
138
ref
subst
28
ref
"_30112"
1
ref
var
7729
def
7681
ref
7729
remove
varTerm
appTerm
absTerm
7730
def
7272
ref
appTerm
7731
def
appTerm
refl
7730
ref
19
ref
appTerm
betaConv
appThm
108
ref
7731
remove
betaConv
appThm
7681
remove
19
ref
appTerm
7732
def
refl
appThm
trans
7730
remove
refl
7421
ref
appThm
eqMp
sym
7732
remove
betaConv
sym
7436
ref
nil
7437
ref
68
ref
7680
ref
nil
cons
7733
def
cons
nil
cons
7734
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
192
ref
7440
ref
7680
ref
appTerm
7735
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
7735
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7443
ref
7734
ref
cons
nil
cons
cons
7736
def
85
ref
subst
7736
remove
138
ref
subst
7445
ref
nil
7429
ref
7734
remove
cons
nil
cons
cons
7737
def
129
ref
subst
proveHyp
7737
ref
85
ref
subst
7737
remove
138
ref
subst
28
ref
"_30120"
1
ref
var
7738
def
7679
ref
7738
remove
varTerm
appTerm
absTerm
7739
def
7267
ref
appTerm
7740
def
appTerm
refl
7739
ref
200
ref
appTerm
betaConv
appThm
108
ref
7740
remove
betaConv
appThm
7679
remove
200
ref
appTerm
7741
def
refl
appThm
trans
7739
remove
refl
7451
ref
appThm
eqMp
sym
7741
remove
betaConv
sym
7466
ref
nil
7467
ref
68
ref
7678
ref
nil
cons
7742
def
cons
nil
cons
7743
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
130
ref
7470
ref
7678
ref
appTerm
7744
def
absTerm
7745
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
7744
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7474
ref
7743
ref
cons
nil
cons
cons
7746
def
85
ref
subst
7746
remove
138
ref
subst
7476
ref
nil
7459
ref
7743
remove
cons
nil
cons
cons
7747
def
129
ref
subst
proveHyp
7747
ref
85
ref
subst
7747
remove
138
ref
subst
28
ref
"_30130"
1
ref
var
7748
def
7677
ref
7748
remove
varTerm
appTerm
absTerm
7749
def
7262
ref
appTerm
7750
def
appTerm
refl
7749
ref
1710
ref
appTerm
betaConv
appThm
108
ref
7750
remove
betaConv
appThm
7677
remove
1710
ref
appTerm
7751
def
refl
appThm
trans
7749
remove
refl
7482
ref
appThm
eqMp
sym
7751
remove
betaConv
sym
7497
ref
nil
7498
ref
68
ref
7676
ref
nil
cons
7752
def
cons
nil
cons
7753
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
847
ref
7501
ref
7676
ref
appTerm
7754
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
7754
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7504
ref
7753
ref
cons
nil
cons
cons
7755
def
85
ref
subst
7755
remove
138
ref
subst
7506
ref
nil
7490
ref
7753
remove
cons
nil
cons
cons
7756
def
129
ref
subst
proveHyp
7756
ref
85
ref
subst
7756
remove
138
ref
subst
28
ref
"_30142"
1
ref
var
7757
def
7675
ref
7757
remove
varTerm
appTerm
absTerm
7758
def
7258
ref
appTerm
7759
def
appTerm
refl
7758
ref
1404
ref
appTerm
betaConv
appThm
108
ref
7759
remove
betaConv
appThm
7675
remove
1404
ref
appTerm
7760
def
refl
appThm
trans
7758
remove
refl
7512
ref
appThm
eqMp
sym
7760
remove
betaConv
sym
6827
remove
4591
ref
appTerm
7761
def
betaConv
7250
remove
nil
67
ref
6836
remove
cons
68
ref
7761
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
6837
remove
130
ref
4591
ref
nil
cons
cons
nil
cons
7762
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7763
def
nil
67
ref
69
ref
3488
ref
4581
remove
6818
remove
4611
ref
4591
remove
appTerm
appTerm
appTerm
appTerm
7764
def
appTerm
57
ref
7674
ref
appTerm
10
ref
7673
remove
200
ref
appTerm
appTerm
1404
ref
appTerm
7765
def
appTerm
7766
def
appTerm
7767
def
nil
cons
cons
7768
def
68
ref
7674
ref
nil
cons
7769
def
cons
nil
cons
7770
def
cons
nil
cons
cons
129
ref
subst
proveHyp
3488
ref
refl
5251
remove
7249
remove
nil
7762
remove
nil
cons
cons
713
ref
subst
appThm
5275
remove
311
remove
subst
trans
appThm
appThm
sym
nil
7516
remove
68
ref
3488
remove
4584
remove
appTerm
nil
cons
7771
def
cons
nil
cons
7772
def
cons
nil
cons
cons
7773
def
85
ref
subst
7773
remove
138
ref
subst
1530
ref
28
ref
10
ref
3251
ref
1534
ref
appTerm
appTerm
7774
def
2691
ref
1534
remove
appTerm
appTerm
appTerm
600
ref
2895
ref
appTerm
7775
def
4889
ref
appTerm
appTerm
absTerm
7776
def
196
ref
appTerm
7777
def
betaConv
436
remove
65
ref
1530
remove
28
ref
7774
remove
3029
remove
appTerm
appTerm
600
remove
216
remove
437
remove
appTerm
appTerm
4889
remove
appTerm
appTerm
absTerm
appTerm
absTerm
7778
def
359
remove
appTerm
7779
def
betaConv
4896
remove
215
remove
appTerm
7780
def
betaConv
4899
remove
nil
4900
remove
68
ref
7780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
4901
remove
2712
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7778
ref
appTerm
nil
cons
cons
68
ref
7779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7778
remove
nil
cons
cons
2643
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
65
ref
7776
ref
appTerm
nil
cons
cons
68
ref
7777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7776
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
28
ref
10
ref
3251
remove
196
ref
appTerm
appTerm
7781
def
2691
remove
196
ref
appTerm
appTerm
appTerm
7775
ref
7513
remove
appTerm
appTerm
nil
cons
cons
3243
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
151
ref
108
ref
7781
ref
refl
nil
1419
remove
270
remove
cons
nil
cons
nil
cons
cons
3222
remove
subst
appThm
appThm
7775
remove
refl
7549
remove
appThm
4161
remove
4908
remove
subst
trans
appThm
appThm
4548
remove
appThm
sym
nil
67
ref
28
ref
7781
remove
196
ref
appTerm
appTerm
2895
remove
appTerm
7782
def
nil
cons
7783
def
cons
3243
remove
cons
nil
cons
cons
7784
def
85
ref
subst
7784
remove
138
ref
subst
7782
remove
assume
338
ref
nil
1020
remove
3494
remove
cons
nil
cons
cons
150
ref
10
ref
4513
remove
appTerm
4512
remove
appTerm
7785
def
absTerm
7786
def
152
remove
appTerm
7787
def
betaConv
192
ref
65
ref
7786
ref
appTerm
7788
def
absTerm
7789
def
200
ref
appTerm
7790
def
betaConv
6
ref
65
ref
7789
ref
appTerm
7791
def
absTerm
7792
def
19
ref
appTerm
7793
def
betaConv
149
ref
6
ref
149
ref
192
ref
149
ref
150
remove
7785
remove
assume
sym
4514
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
4510
remove
eqMp
nil
67
ref
65
ref
7792
ref
appTerm
nil
cons
cons
68
ref
7793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7792
remove
nil
cons
cons
132
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7791
remove
nil
cons
cons
68
ref
7790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7789
remove
nil
cons
cons
238
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7788
remove
nil
cons
cons
68
ref
7787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7786
remove
nil
cons
cons
261
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
4745
remove
appThm
sym
192
ref
7543
ref
28
ref
201
remove
appTerm
10
ref
392
ref
396
remove
196
ref
appTerm
appTerm
196
ref
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
absTerm
7794
def
7270
ref
appTerm
7795
def
betaConv
6
ref
65
ref
192
ref
884
remove
885
remove
10
ref
1434
remove
appTerm
200
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
7796
def
196
ref
appTerm
7797
def
betaConv
nil
65
ref
7796
ref
appTerm
7798
def
axiom
nil
67
ref
7798
remove
nil
cons
cons
68
ref
7797
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7796
remove
nil
cons
cons
1389
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
7799
def
nil
67
ref
65
ref
7794
ref
appTerm
nil
cons
cons
7800
def
68
ref
7795
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
7794
ref
nil
cons
cons
7801
def
7306
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7543
ref
28
ref
197
ref
7270
ref
appTerm
appTerm
10
ref
392
ref
7272
ref
appTerm
196
ref
appTerm
7802
def
appTerm
7270
ref
appTerm
appTerm
appTerm
7803
def
nil
cons
cons
68
ref
10
ref
16
ref
2947
remove
196
ref
appTerm
appTerm
7804
def
3205
remove
196
ref
appTerm
appTerm
appTerm
196
ref
appTerm
7805
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
7794
remove
7265
ref
appTerm
7806
def
betaConv
7799
remove
nil
7800
remove
68
ref
7806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7801
remove
7344
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
7543
remove
28
ref
197
remove
7265
ref
appTerm
appTerm
10
ref
392
ref
7267
ref
appTerm
196
ref
appTerm
7807
def
appTerm
7265
ref
appTerm
appTerm
appTerm
7808
def
nil
cons
cons
68
ref
69
ref
7803
remove
appTerm
7809
def
7805
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
28
ref
"_30244"
1
ref
var
7810
def
69
ref
7808
remove
appTerm
7811
def
7809
ref
10
ref
7804
ref
392
ref
7810
remove
varTerm
appTerm
196
ref
appTerm
appTerm
appTerm
196
ref
appTerm
appTerm
appTerm
absTerm
7812
def
200
ref
appTerm
7813
def
appTerm
refl
7812
ref
7267
ref
appTerm
betaConv
appThm
108
ref
7813
remove
betaConv
appThm
7811
ref
7809
ref
10
ref
7804
remove
7807
ref
appTerm
appTerm
196
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7812
remove
refl
7433
remove
appThm
eqMp
sym
28
ref
"_30256"
1
ref
var
7814
def
7811
ref
7809
ref
10
ref
16
ref
392
ref
7814
remove
varTerm
appTerm
196
ref
appTerm
appTerm
7807
ref
appTerm
appTerm
196
ref
appTerm
appTerm
appTerm
absTerm
7815
def
19
ref
appTerm
7816
def
appTerm
refl
7815
ref
7272
ref
appTerm
betaConv
appThm
108
ref
7816
remove
betaConv
appThm
7811
remove
7809
remove
10
ref
16
ref
7802
remove
appTerm
7807
remove
appTerm
appTerm
196
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7815
remove
refl
7403
remove
appThm
eqMp
sym
28
ref
"_30266"
1
ref
var
7817
def
69
ref
69
ref
418
ref
10
ref
7817
remove
varTerm
7818
def
appTerm
17
ref
appTerm
appTerm
appTerm
7819
def
28
ref
59
ref
7818
ref
appTerm
7820
def
7265
ref
appTerm
appTerm
10
ref
392
ref
7266
ref
7818
ref
appTerm
appTerm
7818
ref
appTerm
7821
def
appTerm
7265
ref
appTerm
appTerm
appTerm
appTerm
69
ref
7819
remove
28
ref
7820
remove
7270
ref
appTerm
appTerm
10
ref
392
ref
7271
ref
7818
ref
appTerm
appTerm
7818
ref
appTerm
7822
def
appTerm
7270
ref
appTerm
appTerm
appTerm
appTerm
10
ref
16
ref
7822
remove
appTerm
7821
remove
appTerm
appTerm
7818
remove
appTerm
appTerm
appTerm
absTerm
7823
def
196
ref
appTerm
7824
def
appTerm
refl
7823
ref
7311
ref
appTerm
betaConv
appThm
108
ref
7824
remove
betaConv
appThm
69
ref
69
ref
418
ref
7631
remove
17
ref
appTerm
appTerm
7825
def
appTerm
7826
def
28
ref
59
ref
7311
ref
appTerm
7827
def
7265
ref
appTerm
appTerm
10
ref
392
ref
7266
remove
7311
ref
appTerm
appTerm
7311
ref
appTerm
7828
def
appTerm
7265
ref
appTerm
appTerm
appTerm
appTerm
69
ref
7826
remove
28
ref
7827
remove
7270
ref
appTerm
appTerm
10
ref
392
ref
7271
ref
7311
ref
appTerm
appTerm
7311
ref
appTerm
7829
def
appTerm
7270
ref
appTerm
appTerm
appTerm
appTerm
10
ref
16
ref
7829
remove
appTerm
7828
remove
appTerm
appTerm
7311
ref
appTerm
appTerm
appTerm
refl
appThm
trans
7823
remove
refl
7373
ref
appThm
eqMp
sym
28
ref
"_30274"
1
ref
var
7830
def
69
ref
69
ref
418
ref
10
ref
7310
ref
7830
remove
varTerm
7831
def
appTerm
7832
def
appTerm
17
ref
appTerm
appTerm
appTerm
7833
def
28
ref
59
ref
7832
ref
appTerm
7834
def
7831
ref
appTerm
appTerm
10
ref
392
ref
368
ref
7831
ref
appTerm
7832
ref
appTerm
appTerm
7832
ref
appTerm
7835
def
appTerm
7831
remove
appTerm
appTerm
appTerm
appTerm
69
ref
7833
remove
28
ref
7834
remove
7270
ref
appTerm
appTerm
10
ref
392
ref
7271
ref
7832
ref
appTerm
appTerm
7832
ref
appTerm
7836
def
appTerm
7270
ref
appTerm
appTerm
appTerm
appTerm
10
ref
16
ref
7836
remove
appTerm
7835
remove
appTerm
appTerm
7832
remove
appTerm
appTerm
appTerm
absTerm
7837
def
7265
ref
appTerm
7838
def
appTerm
refl
7837
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7838
remove
betaConv
appThm
69
ref
69
ref
418
ref
10
ref
7566
ref
appTerm
17
ref
appTerm
appTerm
7839
def
appTerm
7840
def
28
ref
59
ref
7566
ref
appTerm
7841
def
7277
ref
appTerm
appTerm
10
ref
392
ref
368
ref
7277
ref
appTerm
7842
def
7566
ref
appTerm
appTerm
7566
ref
appTerm
7843
def
appTerm
7277
ref
appTerm
appTerm
appTerm
appTerm
69
ref
7840
remove
28
ref
7841
remove
7270
ref
appTerm
appTerm
10
ref
392
ref
7271
remove
7566
ref
appTerm
appTerm
7566
ref
appTerm
7844
def
appTerm
7270
ref
appTerm
appTerm
appTerm
appTerm
10
ref
16
ref
7844
remove
appTerm
7843
remove
appTerm
appTerm
7566
remove
appTerm
appTerm
appTerm
refl
appThm
trans
7837
remove
refl
7342
ref
appThm
eqMp
sym
28
ref
"_30280"
1
ref
var
7845
def
69
ref
69
ref
418
ref
10
ref
16
ref
7845
remove
varTerm
7846
def
appTerm
7277
ref
appTerm
7847
def
appTerm
17
ref
appTerm
appTerm
appTerm
7848
def
28
ref
59
remove
7847
ref
appTerm
7849
def
7277
ref
appTerm
appTerm
10
ref
392
ref
7842
ref
7847
ref
appTerm
appTerm
7847
ref
appTerm
7850
def
appTerm
7277
ref
appTerm
appTerm
appTerm
appTerm
69
ref
7848
remove
28
ref
7849
remove
7846
ref
appTerm
appTerm
10
ref
392
ref
368
ref
7846
ref
appTerm
7847
ref
appTerm
appTerm
7847
ref
appTerm
7851
def
appTerm
7846
remove
appTerm
appTerm
appTerm
appTerm
10
ref
16
ref
7851
remove
appTerm
7850
remove
appTerm
appTerm
7847
remove
appTerm
appTerm
appTerm
absTerm
7852
def
7270
ref
appTerm
7853
def
appTerm
refl
7852
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7853
remove
betaConv
appThm
69
ref
69
ref
418
ref
10
ref
7570
ref
appTerm
7854
def
17
ref
appTerm
7855
def
appTerm
7856
def
appTerm
7857
def
28
ref
7586
remove
appTerm
10
ref
392
ref
7842
remove
7570
ref
appTerm
appTerm
7570
ref
appTerm
7858
def
appTerm
7277
ref
appTerm
7859
def
appTerm
appTerm
appTerm
69
ref
7857
remove
28
ref
7626
remove
appTerm
10
ref
392
ref
368
remove
5435
ref
appTerm
7570
ref
appTerm
appTerm
7570
ref
appTerm
7860
def
appTerm
5435
ref
appTerm
7861
def
appTerm
appTerm
appTerm
10
ref
16
ref
7860
ref
appTerm
7862
def
7858
ref
appTerm
appTerm
7570
ref
appTerm
7863
def
appTerm
appTerm
refl
appThm
trans
7852
remove
refl
7304
ref
appThm
eqMp
sym
151
ref
151
ref
447
remove
28
ref
"_30282"
1
ref
var
7864
def
418
ref
10
ref
16
ref
7864
remove
varTerm
appTerm
7277
ref
appTerm
appTerm
17
ref
appTerm
appTerm
absTerm
7865
def
7270
ref
appTerm
7866
def
appTerm
refl
7865
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7866
remove
betaConv
appThm
7856
ref
refl
appThm
trans
7865
remove
refl
7304
remove
appThm
eqMp
28
ref
"_30278"
1
ref
var
7867
def
418
ref
10
ref
7310
remove
7867
remove
varTerm
appTerm
appTerm
17
ref
appTerm
appTerm
absTerm
7868
def
7265
ref
appTerm
7869
def
appTerm
refl
7868
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7869
remove
betaConv
appThm
7839
remove
refl
appThm
trans
7868
remove
refl
7342
remove
appThm
eqMp
28
ref
"_30272"
1
ref
var
7870
def
418
remove
10
ref
7870
remove
varTerm
appTerm
17
remove
appTerm
appTerm
absTerm
7871
def
196
ref
appTerm
7872
def
appTerm
refl
7871
ref
7311
ref
appTerm
betaConv
appThm
108
ref
7872
remove
betaConv
appThm
7825
remove
refl
appThm
trans
7871
remove
refl
7373
remove
appThm
eqMp
7514
remove
assume
eqMp
eqMp
eqMp
nil
67
ref
7856
remove
nil
cons
cons
68
ref
28
ref
7855
ref
appTerm
448
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
104
ref
7855
remove
nil
cons
cons
nil
cons
nil
cons
cons
487
remove
subst
eqMp
appThm
490
remove
trans
appThm
7873
def
108
ref
7583
remove
appThm
7859
ref
refl
appThm
nil
50
ref
7859
ref
nil
cons
7874
def
cons
nil
cons
nil
cons
cons
7875
def
905
ref
subst
trans
appThm
7875
remove
498
ref
subst
trans
appThm
151
remove
7873
remove
108
ref
7625
remove
appThm
7861
ref
refl
appThm
nil
50
ref
7861
ref
nil
cons
7876
def
cons
nil
cons
nil
cons
cons
7877
def
905
remove
subst
trans
appThm
7877
remove
498
remove
subst
trans
appThm
7863
ref
refl
appThm
appThm
sym
nil
67
ref
7874
ref
cons
68
ref
69
ref
7861
ref
appTerm
7878
def
7863
remove
appTerm
nil
cons
7879
def
cons
nil
cons
cons
nil
cons
cons
7880
def
85
ref
subst
7880
remove
138
ref
subst
28
ref
"_30284"
1
ref
var
7881
def
7878
ref
10
ref
7862
ref
7881
remove
varTerm
appTerm
appTerm
7570
ref
appTerm
appTerm
absTerm
7882
def
7858
remove
appTerm
7883
def
appTerm
refl
7882
ref
7277
ref
appTerm
betaConv
appThm
108
ref
7883
remove
betaConv
appThm
7878
remove
10
ref
7862
remove
7277
ref
appTerm
appTerm
7570
ref
appTerm
7884
def
appTerm
refl
appThm
trans
7882
remove
refl
7859
remove
assume
appThm
eqMp
sym
nil
67
ref
7876
ref
cons
68
ref
7884
remove
nil
cons
7885
def
cons
nil
cons
cons
nil
cons
cons
7886
def
85
ref
subst
7886
remove
138
ref
subst
28
ref
"_30286"
1
ref
var
7887
def
10
ref
16
remove
7887
remove
varTerm
appTerm
7277
ref
appTerm
appTerm
7570
ref
appTerm
absTerm
7888
def
7860
remove
appTerm
7889
def
appTerm
refl
7888
ref
5435
ref
appTerm
betaConv
appThm
108
ref
7889
remove
betaConv
appThm
7854
remove
7570
ref
appTerm
refl
appThm
trans
7888
remove
refl
7861
remove
assume
appThm
eqMp
sym
7570
remove
refl
eqMp
eqMp
nil
104
ref
7876
remove
cons
106
ref
7885
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
7874
remove
cons
106
ref
7879
remove
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
104
ref
7783
remove
cons
3247
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2932
remove
7517
remove
cons
nil
cons
cons
138
ref
subst
proveHyp
7627
remove
eqMp
eqMp
nil
7628
remove
106
ref
7771
ref
cons
nil
cons
7890
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
nil
7629
remove
7772
remove
cons
nil
cons
cons
7891
def
85
ref
subst
7891
remove
138
ref
subst
7640
remove
nil
104
ref
7771
ref
cons
nil
cons
nil
cons
cons
486
remove
subst
proveHyp
eqMp
nil
7548
ref
7890
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
7642
remove
nil
7548
remove
7643
remove
612
remove
7771
remove
cons
nil
cons
cons
cons
nil
cons
cons
628
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
7892
def
nil
67
ref
7764
ref
nil
cons
cons
7893
def
68
ref
69
ref
7766
ref
appTerm
7894
def
7674
ref
appTerm
7895
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
67
ref
7766
remove
nil
cons
7896
def
cons
7897
def
7770
remove
cons
nil
cons
cons
7898
def
85
ref
subst
7898
remove
138
ref
subst
nil
104
ref
7769
ref
cons
106
ref
7765
ref
nil
cons
7899
def
cons
nil
cons
7900
def
cons
nil
cons
cons
7901
def
120
ref
subst
eqMp
nil
104
ref
7896
ref
cons
7902
def
106
ref
7769
ref
cons
nil
cons
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
57
remove
7764
remove
appTerm
7903
def
7895
remove
appTerm
nil
cons
cons
68
ref
69
ref
7767
remove
appTerm
7904
def
7674
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
ref
7769
remove
cons
68
ref
7896
remove
cons
7893
ref
nil
cons
cons
7905
def
cons
nil
cons
cons
2011
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7496
ref
106
ref
7752
remove
cons
nil
cons
7906
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7647
ref
7906
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
7648
ref
7676
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7649
ref
7676
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7495
ref
7906
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7465
ref
106
ref
7742
remove
cons
nil
cons
7907
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7651
ref
7907
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
7745
remove
appTerm
nil
cons
cons
68
ref
7652
ref
7678
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7464
ref
7907
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7435
ref
106
ref
7733
remove
cons
nil
cons
7908
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7654
ref
7908
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7655
ref
7680
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7656
ref
7680
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7434
ref
7908
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7405
ref
106
ref
7724
remove
cons
nil
cons
7909
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7658
ref
7909
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7659
ref
7682
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7660
ref
7682
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7404
ref
7909
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7375
ref
106
ref
7715
remove
cons
nil
cons
7910
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7662
ref
7910
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7663
ref
7692
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7664
ref
7692
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7374
ref
7910
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7345
ref
106
ref
7706
remove
cons
nil
cons
7911
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7666
ref
7911
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7667
ref
7694
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7668
ref
7694
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7343
ref
7911
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7307
ref
106
ref
7697
remove
cons
nil
cons
7912
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7670
ref
7912
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7671
ref
7696
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7672
ref
7696
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7305
ref
7912
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
7691
remove
appTerm
thm
nil
5
ref
5427
ref
65
ref
7251
ref
65
ref
7252
ref
65
ref
7253
ref
7254
ref
7255
ref
190
ref
6
ref
192
ref
130
ref
847
ref
7765
ref
absTerm
7913
def
7258
ref
appTerm
7914
def
absTerm
7915
def
7262
ref
appTerm
7916
def
absTerm
7917
def
7267
ref
appTerm
7918
def
absTerm
7919
def
7272
ref
appTerm
7920
def
absTerm
7921
def
7275
remove
appTerm
absTerm
7277
ref
appTerm
absTerm
5435
ref
appTerm
7922
def
absTerm
7923
def
appTerm
7924
def
absTerm
7925
def
appTerm
7926
def
absTerm
7927
def
appTerm
7928
def
absTerm
7929
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
5427
remove
nil
50
ref
7928
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7927
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7251
remove
nil
50
ref
7926
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7925
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7252
remove
nil
50
ref
7924
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
7923
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7253
remove
nil
50
ref
7922
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
7254
ref
7255
ref
7921
ref
refl
7289
remove
appThm
absThm
7290
remove
appThm
absThm
7291
remove
appThm
sym
7308
remove
nil
7309
remove
68
ref
7254
ref
7255
ref
7921
ref
7311
ref
appTerm
7930
def
absTerm
7931
def
7277
ref
appTerm
7932
def
absTerm
7933
def
5435
ref
appTerm
7934
def
nil
cons
7935
def
cons
nil
cons
7936
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7254
ref
7319
remove
7934
ref
appTerm
7937
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7254
remove
nil
50
ref
7937
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7322
remove
7936
ref
cons
nil
cons
cons
7938
def
85
ref
subst
7938
remove
138
ref
subst
7324
remove
nil
7300
remove
7936
remove
cons
nil
cons
cons
7939
def
129
ref
subst
proveHyp
7939
ref
85
ref
subst
7939
remove
138
ref
subst
28
ref
"_30450"
1
ref
var
7940
def
7933
ref
7940
remove
varTerm
appTerm
absTerm
7941
def
5435
remove
appTerm
7942
def
appTerm
refl
7941
ref
7270
ref
appTerm
betaConv
appThm
108
ref
7942
remove
betaConv
appThm
7933
remove
7270
remove
appTerm
7943
def
refl
appThm
trans
7941
remove
refl
7330
remove
appThm
eqMp
sym
7943
remove
betaConv
sym
7346
remove
nil
7347
remove
68
ref
7932
ref
nil
cons
7944
def
cons
nil
cons
7945
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
7255
ref
7350
remove
7932
ref
appTerm
7946
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
7255
remove
nil
50
ref
7946
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7353
remove
7945
ref
cons
nil
cons
cons
7947
def
85
ref
subst
7947
remove
138
ref
subst
7355
remove
nil
7338
remove
7945
remove
cons
nil
cons
cons
7948
def
129
ref
subst
proveHyp
7948
ref
85
ref
subst
7948
remove
138
ref
subst
28
ref
"_30452"
1
ref
var
7949
def
7931
ref
7949
remove
varTerm
appTerm
absTerm
7950
def
7277
remove
appTerm
7951
def
appTerm
refl
7950
ref
7265
ref
appTerm
betaConv
appThm
108
ref
7951
remove
betaConv
appThm
7931
remove
7265
remove
appTerm
7952
def
refl
appThm
trans
7950
remove
refl
7361
remove
appThm
eqMp
sym
7952
remove
betaConv
sym
7376
remove
nil
7377
remove
68
ref
7930
ref
nil
cons
7953
def
cons
nil
cons
7954
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
190
ref
7380
remove
7930
ref
appTerm
7955
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
ref
nil
50
ref
7955
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7383
remove
7954
ref
cons
nil
cons
cons
7956
def
85
ref
subst
7956
remove
138
ref
subst
7385
remove
nil
7369
remove
7954
remove
cons
nil
cons
cons
7957
def
129
ref
subst
proveHyp
7957
ref
85
ref
subst
7957
remove
138
ref
subst
28
ref
"_30456"
1
ref
var
7958
def
7921
ref
7958
remove
varTerm
appTerm
absTerm
7959
def
7311
remove
appTerm
7960
def
appTerm
refl
7959
ref
196
ref
appTerm
betaConv
appThm
108
ref
7960
remove
betaConv
appThm
7921
remove
196
ref
appTerm
7961
def
refl
appThm
trans
7959
remove
refl
7391
remove
appThm
eqMp
sym
7961
remove
betaConv
sym
7406
remove
nil
7407
remove
68
ref
7920
ref
nil
cons
7962
def
cons
nil
cons
7963
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
6
ref
7410
remove
7920
ref
appTerm
7964
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
ref
nil
50
ref
7964
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7413
remove
7963
ref
cons
nil
cons
cons
7965
def
85
ref
subst
7965
remove
138
ref
subst
7415
remove
nil
7399
remove
7963
remove
cons
nil
cons
cons
7966
def
129
ref
subst
proveHyp
7966
ref
85
ref
subst
7966
remove
138
ref
subst
28
ref
"_30462"
1
ref
var
7967
def
7919
ref
7967
remove
varTerm
appTerm
absTerm
7968
def
7272
remove
appTerm
7969
def
appTerm
refl
7968
ref
19
ref
appTerm
betaConv
appThm
108
ref
7969
remove
betaConv
appThm
7919
remove
19
ref
appTerm
7970
def
refl
appThm
trans
7968
remove
refl
7421
remove
appThm
eqMp
sym
7970
remove
betaConv
sym
7436
remove
nil
7437
remove
68
ref
7918
ref
nil
cons
7971
def
cons
nil
cons
7972
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
192
ref
7440
remove
7918
ref
appTerm
7973
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
ref
nil
50
ref
7973
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7443
remove
7972
ref
cons
nil
cons
cons
7974
def
85
ref
subst
7974
remove
138
ref
subst
7445
remove
nil
7429
remove
7972
remove
cons
nil
cons
cons
7975
def
129
ref
subst
proveHyp
7975
ref
85
ref
subst
7975
remove
138
ref
subst
28
ref
"_30470"
1
ref
var
7976
def
7917
ref
7976
remove
varTerm
appTerm
absTerm
7977
def
7267
remove
appTerm
7978
def
appTerm
refl
7977
ref
200
ref
appTerm
betaConv
appThm
108
ref
7978
remove
betaConv
appThm
7917
remove
200
ref
appTerm
7979
def
refl
appThm
trans
7977
remove
refl
7451
remove
appThm
eqMp
sym
7979
remove
betaConv
sym
7466
remove
nil
7467
remove
68
ref
7916
ref
nil
cons
7980
def
cons
nil
cons
7981
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
130
ref
7470
remove
7916
ref
appTerm
7982
def
absTerm
7983
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
7982
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7474
remove
7981
ref
cons
nil
cons
cons
7984
def
85
ref
subst
7984
remove
138
ref
subst
7476
remove
nil
7459
remove
7981
remove
cons
nil
cons
cons
7985
def
129
ref
subst
proveHyp
7985
ref
85
ref
subst
7985
remove
138
ref
subst
28
ref
"_30480"
1
ref
var
7986
def
7915
ref
7986
remove
varTerm
appTerm
absTerm
7987
def
7262
remove
appTerm
7988
def
appTerm
refl
7987
ref
1710
ref
appTerm
betaConv
appThm
108
ref
7988
remove
betaConv
appThm
7915
remove
1710
ref
appTerm
7989
def
refl
appThm
trans
7987
remove
refl
7482
remove
appThm
eqMp
sym
7989
remove
betaConv
sym
7497
remove
nil
7498
remove
68
ref
7914
ref
nil
cons
7990
def
cons
nil
cons
7991
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
847
ref
7501
remove
7914
ref
appTerm
7992
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
7992
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
7504
remove
7991
ref
cons
nil
cons
cons
7993
def
85
ref
subst
7993
remove
138
ref
subst
7506
remove
nil
7490
remove
7991
remove
cons
nil
cons
cons
7994
def
129
ref
subst
proveHyp
7994
ref
85
ref
subst
7994
remove
138
ref
subst
28
ref
"_30492"
1
ref
var
7995
def
7913
ref
7995
remove
varTerm
appTerm
absTerm
7996
def
7258
remove
appTerm
7997
def
appTerm
refl
7996
ref
1404
ref
appTerm
betaConv
appThm
108
remove
7997
remove
betaConv
appThm
7913
remove
1404
ref
appTerm
7998
def
refl
appThm
trans
7996
remove
refl
7512
remove
appThm
eqMp
sym
7998
remove
betaConv
sym
7763
remove
nil
7768
remove
68
ref
7899
ref
cons
nil
cons
7999
def
cons
nil
cons
cons
129
ref
subst
proveHyp
7892
remove
nil
7893
remove
68
ref
7894
remove
7765
ref
appTerm
8000
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
138
ref
subst
proveHyp
nil
7897
remove
7999
remove
cons
nil
cons
cons
8001
def
85
ref
subst
8001
remove
138
ref
subst
7901
remove
224
remove
subst
eqMp
nil
7902
remove
7900
remove
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
nil
67
ref
7903
remove
8000
remove
appTerm
nil
cons
cons
68
ref
7904
remove
7765
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
617
remove
7899
remove
cons
7905
remove
cons
nil
cons
cons
2011
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7496
remove
106
ref
7990
remove
cons
nil
cons
8002
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7647
remove
8002
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
7648
remove
7914
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7649
remove
7914
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7495
remove
8002
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7465
remove
106
ref
7980
remove
cons
nil
cons
8003
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7651
remove
8003
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
7983
remove
appTerm
nil
cons
cons
68
ref
7652
remove
7916
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7464
remove
8003
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7435
remove
106
ref
7971
remove
cons
nil
cons
8004
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7654
remove
8004
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7655
remove
7918
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7656
remove
7918
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7434
remove
8004
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7405
remove
106
ref
7962
remove
cons
nil
cons
8005
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7658
remove
8005
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7659
remove
7920
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7660
remove
7920
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7404
remove
8005
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7375
remove
106
ref
7953
remove
cons
nil
cons
8006
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7662
remove
8006
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7663
remove
7930
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7664
remove
7930
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7374
remove
8006
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7345
remove
106
ref
7944
remove
cons
nil
cons
8007
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7666
remove
8007
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7667
remove
7932
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7668
remove
7932
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7343
remove
8007
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
7307
remove
106
ref
7935
remove
cons
nil
cons
8008
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
7670
remove
8008
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
130
ref
7671
remove
7934
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
7672
remove
7934
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
7305
remove
8008
remove
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
ref
7929
remove
appTerm
thm
nil
5
ref
6
ref
65
ref
192
ref
7
ref
0
ref
15
ref
0
ref
15
ref
3
ref
cons
opType
nil
cons
cons
opType
constTerm
8009
def
4589
ref
appTerm
374
remove
0
ref
0
ref
0
ref
328
ref
4585
remove
cons
opType
8010
def
3
ref
cons
opType
8011
def
8010
ref
nil
cons
8012
def
cons
opType
constTerm
8013
def
"f"
8010
ref
var
8014
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
8009
ref
8014
ref
varTerm
385
ref
appTerm
appTerm
8015
def
"ab"
1
ref
var
8016
def
"sa"
1
ref
var
8017
def
"tb"
1
ref
var
8018
def
130
ref
847
ref
401
ref
390
ref
3897
ref
8018
ref
varTerm
appTerm
appTerm
8019
def
3906
ref
8017
ref
varTerm
appTerm
appTerm
appTerm
8020
def
8016
remove
varTerm
appTerm
absTerm
absTerm
absTerm
4615
ref
appTerm
absTerm
2897
ref
appTerm
absTerm
2948
ref
appTerm
8021
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
345
ref
appTerm
8022
def
appTerm
8023
def
absTerm
8024
def
appTerm
8025
def
absTerm
8026
def
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
6
remove
nil
50
ref
8025
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
8024
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
192
remove
nil
50
ref
8023
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
"g"
15
ref
var
8022
ref
nil
cons
cons
"f"
15
remove
var
4589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
22
remove
"B"
14
remove
cons
nil
cons
cons
24
ref
cons
"g"
1210
remove
var
8027
def
28
ref
1213
remove
4827
ref
appTerm
8027
ref
varTerm
8028
def
appTerm
8029
def
appTerm
33
ref
39
ref
1350
remove
4828
remove
appTerm
8028
ref
134
ref
appTerm
appTerm
absTerm
appTerm
8030
def
appTerm
absTerm
8031
def
8028
ref
appTerm
8032
def
betaConv
4826
ref
1219
ref
8031
ref
appTerm
8033
def
absTerm
8034
def
4827
ref
appTerm
8035
def
betaConv
2539
ref
4826
ref
2539
remove
8027
ref
nil
"y"
2
remove
var
8030
ref
nil
cons
cons
169
remove
8029
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1162
remove
780
remove
28
ref
848
remove
appTerm
850
remove
appTerm
absTerm
8036
def
782
remove
appTerm
8037
def
betaConv
39
remove
33
ref
8036
ref
appTerm
8038
def
absTerm
8039
def
134
remove
appTerm
8040
def
betaConv
nil
33
remove
8039
ref
appTerm
8041
def
axiom
nil
67
ref
8041
remove
nil
cons
cons
68
ref
8040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
ref
34
ref
8039
remove
nil
cons
cons
802
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
8038
remove
nil
cons
cons
68
ref
8037
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
522
remove
34
remove
8036
remove
nil
cons
cons
803
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
absThm
appThm
absThm
appThm
sym
nil
1219
ref
4826
remove
1219
ref
8027
remove
28
remove
8030
remove
appTerm
8029
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
67
ref
1219
remove
8034
ref
appTerm
nil
cons
cons
68
ref
8035
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1222
ref
1223
ref
8034
remove
nil
cons
cons
1224
ref
4827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
8033
remove
nil
cons
cons
68
ref
8032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1222
remove
1223
remove
8031
remove
nil
cons
cons
1224
remove
8028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
8042
def
subst
subst
149
ref
130
ref
nil
"g"
13
ref
var
8022
remove
1710
ref
appTerm
8043
def
nil
cons
cons
"f"
13
remove
var
4590
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
983
remove
8042
remove
subst
subst
absThm
appThm
trans
sym
nil
5
ref
130
ref
65
ref
4138
ref
10
remove
4590
remove
4139
ref
appTerm
appTerm
8043
ref
4139
ref
appTerm
appTerm
absTerm
appTerm
8044
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
130
ref
nil
50
ref
8044
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
847
ref
4611
remove
8043
remove
1404
ref
appTerm
appTerm
8045
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
847
ref
nil
50
ref
8045
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
6850
remove
8013
ref
refl
8014
ref
149
ref
190
ref
149
ref
378
ref
149
remove
379
ref
8015
ref
refl
8021
remove
betaConv
8017
remove
8018
ref
130
ref
847
ref
8020
remove
2948
ref
appTerm
absTerm
absTerm
absTerm
4615
ref
appTerm
absTerm
2897
remove
appTerm
betaConv
8018
remove
130
ref
847
ref
401
ref
8019
remove
4617
ref
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
absTerm
4615
remove
appTerm
betaConv
trans
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
345
ref
refl
appThm
5266
ref
appThm
5267
ref
appThm
appThm
sym
4651
remove
nil
4654
remove
68
ref
6852
remove
8013
ref
8014
remove
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
8015
remove
130
ref
847
ref
4620
remove
absTerm
absTerm
8046
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
8047
def
345
remove
appTerm
1710
ref
appTerm
1404
ref
appTerm
appTerm
8048
def
nil
cons
8049
def
cons
nil
cons
8050
def
cons
nil
cons
cons
129
ref
subst
proveHyp
4658
remove
8048
ref
refl
appThm
sym
nil
5
ref
978
ref
69
ref
4665
ref
979
remove
appTerm
8051
def
appTerm
8048
ref
appTerm
8052
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
978
remove
nil
50
ref
8052
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
8051
ref
nil
cons
8053
def
cons
8050
ref
cons
nil
cons
cons
8054
def
85
ref
subst
8054
remove
138
ref
subst
8051
ref
betaConv
8051
remove
assume
eqMp
nil
67
ref
4664
ref
nil
cons
cons
8050
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
4655
ref
69
ref
4663
ref
4656
ref
appTerm
8055
def
appTerm
8048
ref
appTerm
8056
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
4655
remove
nil
50
ref
8056
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
8055
ref
nil
cons
8057
def
cons
8050
ref
cons
nil
cons
cons
8058
def
85
ref
subst
8058
remove
138
ref
subst
8055
ref
betaConv
8055
remove
assume
eqMp
nil
67
ref
4662
ref
nil
cons
cons
8050
ref
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5
ref
877
ref
69
ref
4661
ref
878
ref
appTerm
8059
def
appTerm
8048
ref
appTerm
8060
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
877
remove
nil
50
ref
8060
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
67
ref
8059
ref
nil
cons
8061
def
cons
8050
ref
cons
nil
cons
cons
8062
def
85
ref
subst
8062
remove
138
ref
subst
8059
ref
betaConv
8059
remove
assume
eqMp
nil
67
ref
4660
ref
nil
cons
8063
def
cons
8050
remove
cons
nil
cons
cons
8064
def
129
ref
subst
proveHyp
8064
ref
85
remove
subst
8064
remove
138
remove
subst
338
remove
5200
remove
4660
remove
assume
8065
def
appThm
nil
379
ref
1827
remove
cons
378
ref
4656
ref
nil
cons
cons
190
ref
1828
remove
cons
nil
cons
cons
cons
nil
cons
cons
8066
def
5235
remove
subst
trans
appThm
8047
remove
refl
8065
remove
appThm
8066
remove
379
ref
8009
ref
8013
remove
"_30038"
8010
ref
var
8067
def
65
ref
190
ref
65
ref
378
ref
65
ref
379
ref
8009
ref
8067
remove
varTerm
385
ref
appTerm
appTerm
8046
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
8068
def
appTerm
8069
def
385
ref
appTerm
appTerm
8046
ref
appTerm
absTerm
8070
def
383
ref
appTerm
8071
def
betaConv
378
ref
65
ref
8070
ref
appTerm
8072
def
absTerm
8073
def
381
ref
appTerm
8074
def
betaConv
190
ref
65
ref
8073
ref
appTerm
8075
def
absTerm
8076
def
196
remove
appTerm
8077
def
betaConv
8068
ref
8069
remove
appTerm
8078
def
betaConv
8068
ref
"_30036"
328
remove
var
8079
def
130
ref
847
ref
401
ref
390
ref
3897
ref
392
ref
2823
ref
1059
remove
1057
remove
8079
remove
varTerm
appTerm
8080
def
appTerm
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
3906
ref
392
ref
1052
remove
8080
remove
appTerm
appTerm
19
ref
appTerm
appTerm
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
absTerm
8081
def
appTerm
betaConv
sym
nil
5
ref
190
ref
65
ref
378
ref
65
ref
379
ref
8009
ref
8081
ref
385
remove
appTerm
8082
def
appTerm
8046
remove
appTerm
8083
def
absTerm
8084
def
appTerm
8085
def
absTerm
8086
def
appTerm
8087
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
190
remove
nil
50
ref
8087
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
8086
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
ref
subst
378
remove
nil
50
ref
8085
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
nil
5
ref
8084
remove
nil
cons
cons
nil
cons
nil
cons
cons
49
remove
subst
379
remove
nil
50
ref
8083
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
8082
remove
betaConv
8009
ref
"_30032"
1
ref
var
8088
def
130
ref
847
ref
401
ref
390
ref
3897
ref
392
ref
2823
ref
8088
ref
varTerm
appTerm
appTerm
200
ref
appTerm
appTerm
appTerm
8089
def
4617
remove
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
absTerm
383
remove
appTerm
8090
def
appTerm
refl
8088
ref
130
ref
847
ref
401
ref
8089
ref
5226
remove
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
absTerm
8091
def
1082
remove
appTerm
betaConv
appThm
8009
remove
refl
8090
remove
betaConv
appThm
130
ref
847
ref
5228
remove
absTerm
absTerm
refl
appThm
trans
7
remove
0
ref
4586
ref
0
ref
4586
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
8092
def
"_30031"
1
remove
var
8093
def
8088
remove
130
ref
847
ref
401
ref
8089
remove
3906
ref
392
ref
8093
remove
varTerm
appTerm
19
ref
appTerm
appTerm
appTerm
appTerm
2948
ref
appTerm
absTerm
absTerm
absTerm
absTerm
8094
def
381
remove
appTerm
8095
def
appTerm
refl
8094
ref
1078
remove
appTerm
betaConv
appThm
8092
remove
refl
8095
remove
betaConv
appThm
8091
remove
refl
appThm
trans
8094
remove
refl
1376
remove
appThm
eqMp
1381
remove
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
8012
remove
cons
nil
cons
8096
def
"P"
8011
ref
var
8068
ref
nil
cons
8097
def
cons
"x"
8010
remove
var
8081
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1176
remove
subst
proveHyp
nil
67
ref
946
remove
0
remove
8011
ref
3
remove
cons
opType
constTerm
8068
remove
appTerm
nil
cons
cons
68
ref
8078
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"p"
8011
remove
var
8097
remove
cons
nil
cons
nil
cons
cons
8096
remove
24
ref
cons
1343
remove
subst
subst
eqMp
eqMp
nil
67
ref
65
ref
8076
ref
appTerm
nil
cons
cons
68
ref
8077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
8076
remove
nil
cons
cons
1389
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
8075
remove
nil
cons
cons
68
ref
8074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
8073
remove
nil
cons
cons
1390
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
67
ref
8072
remove
nil
cons
cons
68
ref
8071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
8070
remove
nil
cons
cons
1391
remove
cons
nil
cons
cons
140
remove
subst
eqMp
eqMp
subst
trans
5266
remove
appThm
130
ref
847
remove
401
remove
390
remove
3897
remove
392
ref
2823
remove
878
remove
appTerm
appTerm
200
remove
appTerm
appTerm
appTerm
3906
remove
392
remove
4656
remove
appTerm
19
remove
appTerm
appTerm
appTerm
appTerm
2948
remove
appTerm
8098
def
absTerm
8099
def
absTerm
1710
remove
appTerm
betaConv
trans
5267
remove
appThm
8099
remove
1404
remove
appTerm
betaConv
trans
appThm
nil
130
remove
8098
remove
nil
cons
cons
nil
cons
nil
cons
cons
713
remove
subst
trans
sym
55
remove
eqMp
eqMp
nil
104
ref
8063
remove
cons
106
remove
8049
remove
cons
nil
cons
8100
def
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
104
ref
8061
remove
cons
8100
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
4661
ref
4139
ref
appTerm
appTerm
8048
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4662
remove
appTerm
8048
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
ref
4661
remove
nil
cons
cons
8100
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
ref
8057
remove
cons
8100
ref
cons
nil
cons
cons
120
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
ref
65
ref
4138
ref
69
ref
4663
ref
4139
ref
appTerm
appTerm
8048
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
ref
69
ref
4664
remove
appTerm
8048
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
23
ref
5
remove
4663
remove
nil
cons
cons
8100
ref
cons
nil
cons
cons
1196
ref
subst
eqMp
eqMp
eqMp
nil
104
remove
8053
remove
cons
8100
ref
cons
nil
cons
cons
120
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
67
remove
65
ref
4138
remove
69
ref
4665
remove
4139
remove
appTerm
appTerm
8048
ref
appTerm
absTerm
appTerm
nil
cons
cons
68
remove
5174
remove
8048
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
remove
subst
proveHyp
23
remove
5175
remove
8100
remove
cons
nil
cons
cons
1196
remove
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
65
remove
8026
remove
appTerm
thm
nil
3022
ref
1725
ref
69
ref
3135
remove
appTerm
1750
ref
appTerm
8101
def
absTerm
8102
def
nil
cons
cons
nil
cons
nil
cons
cons
3021
remove
24
remove
cons
48
remove
subst
8103
def
subst
1725
ref
nil
50
ref
8101
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
ref
subst
3263
remove
eqMp
absThm
eqMp
nil
3019
ref
8102
remove
appTerm
thm
nil
3022
remove
1725
ref
69
remove
1745
remove
appTerm
1750
remove
appTerm
8104
def
absTerm
8105
def
nil
cons
cons
nil
cons
nil
cons
cons
8103
remove
subst
1725
remove
nil
50
remove
8104
remove
nil
cons
cons
nil
cons
nil
cons
cons
56
remove
subst
2042
remove
eqMp
absThm
eqMp
nil
3019
remove
8105
remove
appTerm
thm