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
"Number.Natural.divides"
const
0
ref
1
ref
4
ref
nil
cons
7
def
cons
opType
8
def
constTerm
9
def
6
ref
varTerm
10
def
appTerm
11
def
"Number.Natural.zero"
const
1
ref
constTerm
12
def
appTerm
13
def
absTerm
14
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1
ref
nil
cons
15
def
cons
nil
cons
16
def
nil
nil
cons
17
def
cons
18
def
"="
const
19
def
0
ref
2
ref
0
ref
2
ref
3
ref
cons
opType
20
def
nil
cons
21
def
cons
opType
22
def
constTerm
23
def
"Data.Bool.!"
const
24
def
0
ref
0
ref
"A"
varType
25
def
3
ref
cons
opType
26
def
3
ref
cons
opType
27
def
constTerm
28
def
"P"
26
ref
var
29
def
varTerm
30
def
appTerm
31
def
appTerm
refl
"p"
26
ref
var
32
def
19
ref
0
ref
26
ref
27
ref
nil
cons
cons
opType
constTerm
32
ref
varTerm
33
def
appTerm
"x"
25
ref
var
34
def
"Data.Bool.T"
const
2
ref
constTerm
35
def
absTerm
36
def
appTerm
absTerm
37
def
30
ref
appTerm
betaConv
38
def
appThm
nil
19
ref
0
ref
27
ref
0
ref
27
ref
3
ref
cons
opType
39
def
nil
cons
cons
opType
constTerm
40
def
28
ref
appTerm
37
remove
appTerm
axiom
30
ref
refl
41
def
appThm
42
def
eqMp
sym
43
def
subst
44
def
subst
6
ref
nil
"t"
2
ref
var
45
def
13
remove
nil
cons
cons
nil
cons
nil
cons
cons
23
ref
45
ref
varTerm
46
def
appTerm
47
def
35
ref
appTerm
48
def
assume
sym
nil
35
ref
axiom
49
def
eqMp
46
ref
assume
49
ref
deductAntisym
deductAntisym
50
def
subst
nil
"b"
1
ref
var
51
def
12
ref
nil
cons
52
def
cons
nil
cons
nil
cons
cons
51
ref
23
ref
11
ref
51
ref
varTerm
53
def
appTerm
54
def
appTerm
55
def
"Data.Bool.?"
const
56
def
0
ref
4
ref
3
ref
cons
opType
57
def
constTerm
58
def
"c"
1
ref
var
59
def
19
ref
8
ref
constTerm
60
def
"Number.Natural.*"
const
0
ref
1
ref
0
ref
1
ref
15
ref
cons
opType
61
def
nil
cons
cons
opType
62
def
constTerm
63
def
59
ref
varTerm
64
def
appTerm
65
def
10
ref
appTerm
66
def
appTerm
67
def
53
ref
appTerm
68
def
absTerm
69
def
appTerm
70
def
appTerm
absTerm
71
def
53
ref
appTerm
72
def
betaConv
6
ref
24
ref
57
ref
constTerm
73
def
71
ref
appTerm
74
def
absTerm
75
def
10
ref
appTerm
76
def
betaConv
nil
73
ref
75
ref
appTerm
77
def
axiom
nil
"p"
2
ref
var
78
def
77
remove
nil
cons
cons
"q"
2
ref
var
79
def
76
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
23
ref
"Data.Bool.==>"
const
22
ref
constTerm
80
def
78
ref
varTerm
81
def
appTerm
82
def
79
ref
varTerm
83
def
appTerm
84
def
appTerm
85
def
refl
78
ref
79
ref
23
ref
"Data.Bool./\\"
const
22
ref
constTerm
86
def
81
ref
appTerm
87
def
83
ref
appTerm
88
def
appTerm
89
def
81
ref
appTerm
absTerm
90
def
absTerm
91
def
81
ref
appTerm
betaConv
83
ref
refl
92
def
appThm
90
remove
83
ref
appTerm
betaConv
trans
appThm
nil
19
ref
0
ref
22
ref
0
ref
22
ref
3
ref
cons
opType
93
def
nil
cons
cons
opType
constTerm
94
def
80
ref
appTerm
91
remove
appTerm
axiom
81
ref
refl
95
def
appThm
92
ref
appThm
eqMp
96
def
sym
97
def
89
remove
refl
79
ref
19
ref
0
ref
93
ref
0
ref
93
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
98
def
"f"
22
ref
var
99
def
99
ref
varTerm
100
def
81
ref
appTerm
83
ref
appTerm
absTerm
101
def
appTerm
99
ref
100
ref
35
ref
appTerm
35
ref
appTerm
absTerm
102
def
appTerm
absTerm
103
def
83
ref
appTerm
betaConv
appThm
19
ref
0
ref
20
ref
0
ref
20
ref
3
ref
cons
opType
104
def
nil
cons
cons
opType
constTerm
105
def
87
ref
appTerm
refl
78
ref
103
remove
absTerm
106
def
81
ref
appTerm
betaConv
appThm
nil
94
ref
86
ref
appTerm
106
ref
appTerm
axiom
107
def
95
remove
appThm
eqMp
92
ref
appThm
eqMp
108
def
sym
99
ref
100
ref
refl
nil
45
ref
81
ref
nil
cons
109
def
cons
nil
cons
nil
cons
cons
110
def
50
ref
subst
81
ref
assume
111
def
eqMp
appThm
nil
45
ref
83
ref
nil
cons
112
def
cons
nil
cons
nil
cons
cons
113
def
50
ref
subst
83
ref
assume
114
def
eqMp
appThm
absThm
eqMp
115
def
nil
"P"
2
ref
var
116
def
109
ref
cons
"Q"
2
ref
var
117
def
112
ref
cons
nil
cons
118
def
cons
nil
cons
cons
23
ref
refl
119
def
99
ref
100
remove
116
ref
varTerm
120
def
appTerm
121
def
117
ref
varTerm
122
def
appTerm
absTerm
123
def
78
ref
79
ref
81
ref
absTerm
absTerm
124
def
appTerm
betaConv
124
ref
120
ref
appTerm
betaConv
122
ref
refl
125
def
appThm
79
ref
120
ref
absTerm
122
ref
appTerm
betaConv
trans
trans
appThm
102
ref
124
ref
appTerm
betaConv
124
ref
35
ref
appTerm
betaConv
35
ref
refl
126
def
appThm
79
ref
35
ref
absTerm
35
ref
appTerm
betaConv
trans
trans
appThm
23
ref
86
ref
120
ref
appTerm
127
def
122
ref
appTerm
128
def
appTerm
refl
79
ref
98
remove
99
remove
121
remove
83
ref
appTerm
absTerm
appTerm
102
ref
appTerm
absTerm
122
ref
appTerm
betaConv
appThm
105
ref
127
remove
appTerm
refl
106
remove
120
ref
appTerm
betaConv
appThm
107
remove
120
ref
refl
129
def
appThm
eqMp
125
ref
appThm
eqMp
128
remove
assume
eqMp
130
def
124
remove
refl
appThm
eqMp
sym
49
ref
eqMp
131
def
subst
deductAntisym
eqMp
96
remove
84
ref
assume
eqMp
sym
111
remove
eqMp
119
ref
101
remove
78
ref
79
ref
83
ref
absTerm
132
def
absTerm
133
def
appTerm
betaConv
133
ref
81
ref
appTerm
betaConv
92
ref
appThm
132
ref
83
ref
appTerm
betaConv
trans
trans
appThm
102
remove
133
ref
appTerm
betaConv
133
ref
35
ref
appTerm
betaConv
126
remove
appThm
132
ref
35
ref
appTerm
betaConv
trans
trans
134
def
appThm
108
remove
88
remove
assume
eqMp
133
ref
refl
135
def
appThm
eqMp
sym
49
ref
eqMp
136
def
proveHyp
deductAntisym
137
def
subst
proveHyp
16
ref
5
ref
75
remove
nil
cons
cons
"x"
1
ref
var
138
def
10
ref
nil
cons
139
def
cons
nil
cons
140
def
cons
nil
cons
cons
nil
78
ref
31
ref
nil
cons
141
def
cons
79
ref
30
ref
34
ref
varTerm
142
def
appTerm
143
def
nil
cons
144
def
cons
nil
cons
cons
nil
cons
cons
145
def
97
ref
subst
145
remove
136
remove
115
remove
deductAntisym
146
def
subst
23
ref
143
ref
appTerm
refl
36
remove
142
ref
appTerm
betaConv
appThm
38
remove
42
remove
31
remove
assume
eqMp
eqMp
142
ref
refl
147
def
appThm
eqMp
sym
49
ref
eqMp
eqMp
nil
116
ref
141
remove
cons
117
ref
144
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
148
def
subst
eqMp
eqMp
nil
78
ref
74
remove
nil
cons
cons
79
ref
72
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
71
remove
nil
cons
cons
138
ref
53
ref
nil
cons
149
def
cons
nil
cons
150
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
151
def
subst
sym
59
ref
67
ref
12
ref
appTerm
152
def
absTerm
153
def
12
ref
appTerm
betaConv
sym
nil
"n"
1
ref
var
154
def
139
ref
cons
155
def
nil
cons
156
def
nil
cons
cons
157
def
154
ref
60
ref
63
ref
12
ref
appTerm
154
ref
varTerm
158
def
appTerm
appTerm
12
ref
appTerm
absTerm
159
def
158
ref
appTerm
160
def
betaConv
nil
73
ref
159
ref
appTerm
161
def
axiom
nil
78
ref
161
remove
nil
cons
cons
79
ref
160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
159
remove
nil
cons
cons
138
ref
158
ref
nil
cons
162
def
cons
nil
cons
163
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
16
ref
5
ref
153
remove
nil
cons
cons
138
ref
52
ref
cons
nil
cons
164
def
cons
nil
cons
cons
23
ref
56
ref
27
ref
constTerm
165
def
30
ref
appTerm
166
def
appTerm
167
def
refl
32
ref
24
ref
104
ref
constTerm
168
def
79
ref
80
ref
28
ref
34
ref
80
ref
33
ref
142
ref
appTerm
169
def
appTerm
83
ref
appTerm
absTerm
appTerm
appTerm
83
ref
appTerm
absTerm
appTerm
absTerm
170
def
30
ref
appTerm
betaConv
appThm
nil
40
remove
165
ref
appTerm
170
remove
appTerm
axiom
41
remove
appThm
eqMp
171
def
sym
nil
"P"
20
ref
var
172
def
117
ref
80
ref
28
ref
34
ref
80
ref
143
ref
appTerm
173
def
122
ref
appTerm
absTerm
174
def
appTerm
175
def
appTerm
122
ref
appTerm
176
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
3
ref
cons
nil
cons
177
def
17
ref
cons
178
def
43
ref
subst
179
def
subst
117
ref
nil
45
ref
176
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
175
remove
nil
cons
180
def
cons
181
def
79
ref
122
ref
nil
cons
182
def
cons
nil
cons
183
def
cons
nil
cons
cons
184
def
97
ref
subst
184
ref
146
ref
subst
nil
78
ref
144
ref
cons
185
def
183
ref
cons
nil
cons
cons
137
ref
subst
174
ref
142
ref
appTerm
186
def
betaConv
nil
181
ref
79
ref
186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
"A"
25
ref
nil
cons
187
def
cons
188
def
nil
cons
189
def
29
ref
174
remove
nil
cons
cons
34
ref
142
ref
nil
cons
190
def
cons
nil
cons
191
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
180
remove
cons
192
def
117
ref
182
ref
cons
nil
cons
193
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
194
def
subst
proveHyp
eqMp
eqMp
195
def
absThm
eqMp
nil
73
ref
14
remove
appTerm
thm
nil
5
ref
6
ref
11
ref
10
ref
appTerm
196
def
absTerm
197
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
196
remove
nil
cons
198
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
51
ref
139
ref
cons
199
def
nil
cons
nil
cons
cons
151
ref
subst
sym
59
ref
67
ref
10
ref
appTerm
absTerm
200
def
"Number.Natural.bit1"
const
61
ref
constTerm
201
def
12
ref
appTerm
202
def
appTerm
betaConv
sym
157
ref
nil
"m"
1
ref
var
203
def
162
ref
cons
204
def
nil
cons
205
def
nil
cons
cons
206
def
203
ref
60
ref
63
ref
202
ref
appTerm
203
ref
varTerm
207
def
appTerm
208
def
appTerm
207
ref
appTerm
209
def
absTerm
210
def
207
ref
appTerm
211
def
betaConv
nil
73
ref
210
ref
appTerm
212
def
axiom
213
def
nil
78
ref
212
remove
nil
cons
cons
79
ref
211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
210
remove
nil
cons
cons
138
ref
207
ref
nil
cons
214
def
cons
nil
cons
215
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
16
ref
5
ref
200
remove
nil
cons
cons
138
ref
202
ref
nil
cons
216
def
cons
nil
cons
217
def
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
218
def
eqMp
219
def
absThm
eqMp
nil
73
ref
197
remove
appTerm
thm
nil
5
ref
6
ref
9
ref
202
ref
appTerm
10
ref
appTerm
220
def
absTerm
221
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
220
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
199
ref
6
ref
216
ref
cons
nil
cons
222
def
cons
nil
cons
cons
151
ref
subst
58
ref
refl
223
def
59
ref
60
ref
refl
224
def
nil
203
ref
64
ref
nil
cons
225
def
cons
nil
cons
226
def
nil
cons
cons
227
def
203
ref
60
ref
63
ref
207
ref
appTerm
228
def
202
ref
appTerm
appTerm
207
ref
appTerm
absTerm
229
def
207
ref
appTerm
230
def
betaConv
nil
73
ref
229
ref
appTerm
231
def
axiom
nil
78
ref
231
remove
nil
cons
cons
79
ref
230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
229
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
10
ref
refl
232
def
appThm
absThm
appThm
trans
sym
59
ref
60
ref
64
ref
appTerm
233
def
10
ref
appTerm
absTerm
234
def
10
ref
appTerm
betaConv
sym
232
ref
eqMp
16
ref
5
ref
234
remove
nil
cons
cons
140
ref
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
eqMp
235
def
absThm
eqMp
nil
73
ref
221
remove
appTerm
thm
nil
5
ref
6
ref
23
ref
9
ref
12
ref
appTerm
236
def
10
ref
appTerm
appTerm
60
ref
10
ref
appTerm
237
def
12
ref
appTerm
238
def
appTerm
239
def
absTerm
240
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
239
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
119
ref
nil
199
ref
6
ref
52
ref
cons
nil
cons
241
def
cons
nil
cons
cons
151
ref
subst
223
ref
59
ref
224
ref
227
remove
203
ref
60
ref
228
ref
12
ref
appTerm
appTerm
12
ref
appTerm
absTerm
242
def
207
ref
appTerm
243
def
betaConv
nil
73
ref
242
ref
appTerm
244
def
axiom
nil
78
ref
244
remove
nil
cons
cons
79
ref
243
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
242
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
245
def
subst
246
def
appThm
232
ref
appThm
absThm
appThm
nil
45
ref
60
ref
12
ref
appTerm
247
def
10
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
18
ref
45
ref
23
ref
165
ref
34
ref
46
ref
absTerm
248
def
appTerm
appTerm
46
ref
appTerm
absTerm
249
def
46
ref
appTerm
250
def
betaConv
nil
168
ref
249
ref
appTerm
251
def
axiom
nil
78
ref
251
remove
nil
cons
cons
79
ref
250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
249
remove
nil
cons
cons
"x"
2
ref
var
252
def
46
ref
nil
cons
253
def
cons
nil
cons
254
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
trans
trans
appThm
238
ref
refl
appThm
sym
nil
"y"
1
ref
var
255
def
139
ref
cons
164
ref
cons
nil
cons
cons
18
ref
"y"
25
ref
var
256
def
23
ref
19
ref
0
ref
25
ref
26
ref
nil
cons
257
def
cons
opType
constTerm
258
def
142
ref
appTerm
259
def
256
ref
varTerm
260
def
appTerm
261
def
appTerm
258
ref
260
ref
appTerm
142
ref
appTerm
262
def
appTerm
absTerm
263
def
260
ref
appTerm
264
def
betaConv
34
ref
28
ref
263
ref
appTerm
265
def
absTerm
266
def
142
ref
appTerm
267
def
betaConv
nil
28
ref
266
ref
appTerm
268
def
axiom
nil
78
ref
268
remove
nil
cons
cons
79
ref
267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
266
remove
nil
cons
cons
191
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
265
remove
nil
cons
cons
79
ref
264
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
263
remove
nil
cons
cons
34
ref
260
ref
nil
cons
cons
nil
cons
269
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
270
def
eqMp
absThm
eqMp
nil
73
ref
240
remove
appTerm
thm
nil
5
ref
6
ref
23
ref
9
ref
"Number.Natural.bit0"
const
61
ref
constTerm
271
def
202
ref
appTerm
272
def
appTerm
10
ref
appTerm
appTerm
273
def
"Number.Natural.even"
const
4
ref
constTerm
274
def
10
ref
appTerm
appTerm
275
def
absTerm
276
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
275
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
273
ref
refl
157
ref
154
ref
23
ref
274
ref
158
ref
appTerm
277
def
appTerm
60
ref
"Number.Natural.mod"
const
62
ref
constTerm
278
def
158
ref
appTerm
272
ref
appTerm
appTerm
12
ref
appTerm
appTerm
absTerm
279
def
158
ref
appTerm
280
def
betaConv
nil
73
ref
279
ref
appTerm
281
def
axiom
nil
78
ref
281
remove
nil
cons
cons
79
ref
280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
279
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
sym
"Data.Bool.~"
const
20
ref
constTerm
282
def
refl
283
def
224
ref
271
ref
refl
nil
154
ref
52
ref
cons
284
def
nil
cons
nil
cons
cons
285
def
154
ref
60
ref
201
ref
158
ref
appTerm
286
def
appTerm
"Number.Natural.suc"
const
61
ref
constTerm
287
def
271
ref
158
ref
appTerm
288
def
appTerm
289
def
appTerm
absTerm
290
def
158
ref
appTerm
291
def
betaConv
nil
73
ref
290
ref
appTerm
292
def
axiom
nil
78
ref
292
remove
nil
cons
cons
79
ref
291
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
290
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
293
def
subst
287
ref
refl
294
def
nil
60
ref
271
ref
12
ref
appTerm
appTerm
295
def
12
ref
appTerm
axiom
296
def
appThm
297
def
trans
298
def
appThm
285
ref
154
ref
60
ref
271
remove
287
ref
158
ref
appTerm
299
def
appTerm
300
def
appTerm
301
def
287
ref
289
ref
appTerm
appTerm
absTerm
302
def
158
ref
appTerm
303
def
betaConv
nil
73
ref
302
ref
appTerm
304
def
axiom
nil
78
ref
304
remove
nil
cons
cons
79
ref
303
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
302
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
305
def
subst
294
ref
297
remove
appThm
trans
trans
306
def
appThm
307
def
12
ref
refl
308
def
appThm
nil
154
ref
287
ref
12
ref
appTerm
309
def
nil
cons
310
def
cons
311
def
nil
cons
nil
cons
cons
154
ref
282
ref
60
ref
299
ref
appTerm
312
def
12
ref
appTerm
313
def
appTerm
314
def
absTerm
315
def
158
ref
appTerm
316
def
betaConv
nil
73
ref
315
ref
appTerm
317
def
axiom
nil
78
ref
317
remove
nil
cons
cons
79
ref
316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
315
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
314
remove
nil
cons
cons
79
ref
23
ref
313
ref
appTerm
"Data.Bool.F"
const
2
ref
constTerm
318
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
116
ref
313
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
78
ref
282
ref
120
ref
appTerm
319
def
nil
cons
320
def
cons
79
ref
23
ref
120
ref
appTerm
318
ref
appTerm
nil
cons
321
def
cons
nil
cons
cons
nil
cons
cons
322
def
97
ref
subst
322
remove
146
ref
subst
nil
78
ref
120
ref
nil
cons
323
def
cons
324
def
79
ref
318
ref
nil
cons
325
def
cons
nil
cons
326
def
cons
nil
cons
cons
80
ref
refl
327
def
23
ref
81
ref
appTerm
328
def
83
ref
appTerm
329
def
assume
330
def
appThm
92
ref
appThm
sym
nil
78
ref
112
ref
cons
331
def
79
ref
112
ref
cons
nil
cons
cons
nil
cons
cons
332
def
97
ref
subst
332
remove
146
ref
subst
114
remove
eqMp
nil
116
ref
112
ref
cons
118
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
333
def
eqMp
334
def
nil
78
ref
84
ref
nil
cons
335
def
cons
79
ref
80
ref
83
ref
appTerm
336
def
81
ref
appTerm
nil
cons
337
def
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
336
ref
refl
330
remove
appThm
sym
333
remove
eqMp
eqMp
nil
331
remove
79
ref
109
ref
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
335
ref
cons
117
ref
337
remove
cons
nil
cons
cons
nil
cons
cons
338
def
119
ref
123
remove
133
ref
appTerm
betaConv
133
remove
120
ref
appTerm
betaConv
125
ref
appThm
132
remove
122
ref
appTerm
betaConv
trans
trans
appThm
134
remove
appThm
130
remove
135
remove
appThm
eqMp
sym
49
ref
eqMp
339
def
subst
eqMp
137
ref
338
remove
131
ref
subst
eqMp
deductAntisym
deductAntisym
340
def
subst
23
ref
319
ref
appTerm
refl
78
ref
82
ref
318
ref
appTerm
absTerm
341
def
120
ref
appTerm
betaConv
appThm
nil
105
ref
282
ref
appTerm
341
remove
appTerm
axiom
129
ref
appThm
eqMp
342
def
319
remove
assume
eqMp
nil
78
ref
80
ref
120
ref
appTerm
343
def
318
ref
appTerm
nil
cons
cons
79
ref
80
ref
318
ref
appTerm
344
def
120
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
78
ref
325
ref
cons
79
ref
323
ref
cons
nil
cons
cons
nil
cons
cons
345
def
97
ref
subst
345
remove
146
ref
subst
78
ref
81
ref
absTerm
346
def
120
ref
appTerm
347
def
betaConv
nil
23
ref
318
ref
appTerm
348
def
168
ref
346
ref
appTerm
349
def
appTerm
axiom
318
ref
assume
eqMp
nil
78
ref
349
remove
nil
cons
cons
79
ref
347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
346
remove
nil
cons
cons
252
ref
323
ref
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
325
ref
cons
117
ref
323
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
116
ref
320
remove
cons
117
ref
321
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
350
def
subst
eqMp
351
def
subst
trans
appThm
nil
23
ref
282
ref
318
ref
appTerm
352
def
appTerm
35
ref
appTerm
axiom
353
def
trans
354
def
sym
49
ref
eqMp
nil
78
ref
282
ref
60
ref
272
ref
appTerm
355
def
12
ref
appTerm
appTerm
356
def
nil
cons
357
def
cons
79
ref
273
remove
60
ref
278
ref
10
ref
appTerm
272
ref
appTerm
appTerm
12
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
199
ref
6
ref
272
ref
nil
cons
358
def
cons
nil
cons
359
def
cons
nil
cons
cons
nil
78
ref
282
ref
238
ref
appTerm
360
def
nil
cons
361
def
cons
362
def
79
ref
55
ref
60
ref
278
ref
53
ref
appTerm
363
def
10
ref
appTerm
364
def
appTerm
12
ref
appTerm
365
def
appTerm
366
def
nil
cons
367
def
cons
nil
cons
368
def
cons
nil
cons
cons
369
def
97
ref
subst
369
remove
146
ref
subst
nil
362
ref
79
ref
55
ref
60
ref
63
ref
"Number.Natural.div"
const
62
ref
constTerm
370
def
53
ref
appTerm
371
def
10
ref
appTerm
372
def
appTerm
10
ref
appTerm
373
def
appTerm
53
ref
appTerm
374
def
appTerm
375
def
nil
cons
376
def
cons
nil
cons
cons
nil
cons
cons
377
def
97
ref
subst
377
remove
146
ref
subst
119
ref
151
ref
appThm
374
ref
refl
378
def
appThm
sym
nil
78
ref
70
ref
nil
cons
379
def
cons
380
def
79
ref
374
ref
nil
cons
381
def
cons
nil
cons
382
def
cons
nil
cons
cons
340
ref
subst
nil
5
ref
59
ref
80
ref
69
ref
64
ref
appTerm
383
def
appTerm
384
def
374
ref
appTerm
385
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
385
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
383
ref
nil
cons
386
def
cons
387
def
382
ref
cons
nil
cons
cons
388
def
97
ref
subst
388
remove
146
ref
subst
383
ref
betaConv
383
remove
assume
eqMp
389
def
nil
78
ref
68
ref
nil
cons
390
def
cons
391
def
382
ref
cons
nil
cons
cons
392
def
137
ref
subst
proveHyp
392
ref
97
ref
subst
392
remove
146
ref
subst
23
ref
"_29279"
1
ref
var
393
def
60
ref
63
ref
370
ref
393
remove
varTerm
394
def
appTerm
10
ref
appTerm
appTerm
10
ref
appTerm
appTerm
394
remove
appTerm
absTerm
395
def
53
ref
appTerm
396
def
appTerm
refl
395
ref
66
ref
appTerm
betaConv
appThm
119
ref
396
remove
betaConv
appThm
60
ref
63
ref
370
ref
66
ref
appTerm
10
ref
appTerm
397
def
appTerm
10
ref
appTerm
appTerm
66
ref
appTerm
398
def
refl
399
def
appThm
trans
395
remove
refl
68
remove
assume
400
def
sym
401
def
appThm
eqMp
sym
154
ref
80
ref
360
ref
appTerm
402
def
60
ref
370
ref
63
ref
10
ref
appTerm
403
def
158
ref
appTerm
appTerm
10
ref
appTerm
appTerm
158
ref
appTerm
appTerm
absTerm
404
def
64
ref
appTerm
405
def
betaConv
203
ref
73
ref
154
ref
80
ref
282
ref
60
ref
207
ref
appTerm
406
def
12
ref
appTerm
407
def
appTerm
408
def
appTerm
60
ref
370
ref
228
ref
158
ref
appTerm
409
def
appTerm
207
ref
appTerm
appTerm
158
ref
appTerm
appTerm
absTerm
appTerm
absTerm
410
def
10
ref
appTerm
411
def
betaConv
nil
73
ref
410
ref
appTerm
412
def
axiom
nil
78
ref
412
remove
nil
cons
cons
79
ref
411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
410
remove
nil
cons
cons
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
73
ref
404
ref
appTerm
nil
cons
cons
79
ref
405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
404
remove
nil
cons
cons
138
ref
225
ref
cons
nil
cons
413
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
402
ref
60
ref
370
ref
403
ref
64
ref
appTerm
414
def
appTerm
10
ref
appTerm
appTerm
64
ref
appTerm
415
def
appTerm
nil
cons
cons
79
ref
398
remove
nil
cons
416
def
cons
nil
cons
417
def
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
327
ref
283
ref
nil
362
ref
79
ref
23
ref
238
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
238
ref
nil
cons
418
def
cons
419
def
nil
cons
nil
cons
cons
350
ref
subst
eqMp
420
def
appThm
353
ref
trans
appThm
421
def
415
ref
refl
appThm
nil
45
ref
415
ref
nil
cons
422
def
cons
nil
cons
nil
cons
cons
45
ref
23
ref
80
ref
35
ref
appTerm
423
def
46
ref
appTerm
appTerm
46
ref
appTerm
absTerm
424
def
46
ref
appTerm
425
def
betaConv
nil
168
ref
424
ref
appTerm
426
def
axiom
nil
78
ref
426
remove
nil
cons
cons
79
ref
425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
424
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
427
def
subst
trans
appThm
399
remove
appThm
sym
nil
78
ref
422
ref
cons
417
remove
cons
nil
cons
cons
428
def
97
ref
subst
428
remove
146
ref
subst
23
ref
"_29283"
1
ref
var
429
def
60
ref
63
ref
429
remove
varTerm
appTerm
10
ref
appTerm
appTerm
66
ref
appTerm
absTerm
430
def
397
remove
appTerm
431
def
appTerm
refl
430
ref
64
ref
appTerm
betaConv
appThm
119
ref
431
remove
betaConv
appThm
67
remove
66
ref
appTerm
refl
appThm
trans
430
remove
refl
224
ref
370
ref
refl
nil
154
ref
225
ref
cons
432
def
203
ref
139
ref
cons
433
def
nil
cons
434
def
cons
nil
cons
cons
154
ref
60
ref
409
ref
appTerm
435
def
63
ref
158
ref
appTerm
436
def
207
ref
appTerm
437
def
appTerm
absTerm
438
def
158
ref
appTerm
439
def
betaConv
203
ref
73
ref
438
ref
appTerm
440
def
absTerm
441
def
207
ref
appTerm
442
def
betaConv
nil
73
ref
441
ref
appTerm
443
def
axiom
nil
78
ref
443
remove
nil
cons
cons
79
ref
442
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
441
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
440
remove
nil
cons
cons
79
ref
439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
438
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
444
def
subst
445
def
appThm
232
ref
appThm
appThm
64
ref
refl
446
def
appThm
415
remove
assume
eqMp
appThm
eqMp
sym
66
ref
refl
447
def
eqMp
eqMp
nil
116
ref
422
remove
cons
117
ref
416
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
116
ref
390
remove
cons
448
def
117
ref
381
ref
cons
nil
cons
449
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
386
remove
cons
450
def
449
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
69
ref
138
ref
varTerm
451
def
appTerm
appTerm
452
def
374
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
70
ref
appTerm
453
def
374
ref
appTerm
nil
cons
454
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
69
ref
nil
cons
cons
455
def
449
ref
cons
nil
cons
cons
nil
181
remove
79
ref
80
ref
166
ref
appTerm
456
def
122
ref
appTerm
nil
cons
457
def
cons
nil
cons
cons
nil
cons
cons
458
def
97
ref
subst
458
remove
146
ref
subst
nil
78
ref
166
remove
nil
cons
459
def
cons
460
def
183
remove
cons
nil
cons
cons
461
def
97
ref
subst
461
remove
146
ref
subst
184
remove
137
ref
subst
79
ref
80
ref
28
ref
34
ref
173
ref
83
ref
appTerm
absTerm
appTerm
appTerm
83
ref
appTerm
absTerm
462
def
122
ref
appTerm
463
def
betaConv
nil
460
remove
79
ref
168
ref
462
ref
appTerm
464
def
nil
cons
465
def
cons
nil
cons
cons
nil
cons
cons
466
def
137
ref
subst
171
remove
nil
78
ref
167
remove
464
ref
appTerm
nil
cons
cons
79
ref
456
remove
464
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
466
remove
nil
78
ref
329
ref
nil
cons
467
def
cons
79
ref
335
ref
cons
nil
cons
cons
nil
cons
cons
468
def
97
ref
subst
468
remove
146
ref
subst
334
remove
eqMp
nil
116
ref
467
remove
cons
117
ref
335
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
78
ref
465
remove
cons
79
ref
463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
462
remove
nil
cons
cons
252
ref
182
remove
cons
nil
cons
469
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
459
remove
cons
193
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
nil
192
remove
117
ref
457
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
470
def
subst
eqMp
nil
78
ref
454
remove
cons
79
ref
80
ref
374
ref
appTerm
471
def
70
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
78
ref
381
ref
cons
472
def
79
ref
379
ref
cons
nil
cons
cons
nil
cons
cons
473
def
97
ref
subst
473
remove
146
ref
subst
69
ref
372
ref
appTerm
betaConv
sym
374
ref
assume
474
def
eqMp
16
ref
455
ref
138
ref
372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
nil
116
ref
381
ref
cons
475
def
117
ref
379
ref
cons
nil
cons
476
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
116
ref
361
ref
cons
477
def
117
ref
376
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
478
def
nil
78
ref
402
ref
375
ref
appTerm
479
def
nil
cons
480
def
cons
368
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
421
ref
375
ref
refl
appThm
nil
45
ref
376
ref
cons
nil
cons
nil
cons
cons
427
ref
subst
trans
appThm
366
ref
refl
appThm
sym
nil
78
ref
376
ref
cons
368
remove
cons
nil
cons
cons
481
def
97
ref
subst
481
remove
146
ref
subst
23
ref
"_29285"
2
ref
var
482
def
23
ref
482
remove
varTerm
appTerm
365
ref
appTerm
absTerm
483
def
54
ref
appTerm
484
def
appTerm
refl
483
ref
374
ref
appTerm
betaConv
appThm
119
ref
484
remove
betaConv
appThm
23
ref
374
ref
appTerm
365
ref
appTerm
485
def
refl
486
def
appThm
trans
483
remove
refl
375
remove
assume
appThm
eqMp
sym
154
ref
80
ref
282
ref
60
ref
158
ref
appTerm
487
def
12
ref
appTerm
488
def
appTerm
489
def
appTerm
490
def
60
ref
"Number.Natural.+"
const
62
ref
constTerm
491
def
63
ref
371
remove
158
ref
appTerm
appTerm
158
ref
appTerm
appTerm
363
ref
158
ref
appTerm
appTerm
appTerm
53
ref
appTerm
appTerm
absTerm
492
def
10
ref
appTerm
493
def
betaConv
203
ref
73
ref
154
ref
490
remove
60
ref
491
ref
63
ref
370
remove
207
ref
appTerm
158
ref
appTerm
appTerm
158
ref
appTerm
appTerm
278
remove
207
ref
appTerm
158
ref
appTerm
appTerm
appTerm
207
ref
appTerm
appTerm
absTerm
appTerm
absTerm
494
def
53
ref
appTerm
495
def
betaConv
nil
73
ref
494
ref
appTerm
496
def
axiom
nil
78
ref
496
remove
nil
cons
cons
79
ref
495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
494
remove
nil
cons
cons
150
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
73
ref
492
ref
appTerm
nil
cons
cons
79
ref
493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
492
remove
nil
cons
cons
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
402
ref
60
ref
491
ref
373
ref
appTerm
497
def
364
ref
appTerm
appTerm
53
ref
appTerm
498
def
appTerm
nil
cons
cons
79
ref
485
remove
nil
cons
499
def
cons
nil
cons
500
def
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
421
remove
498
ref
refl
appThm
nil
45
ref
498
remove
nil
cons
501
def
cons
nil
cons
nil
cons
cons
427
ref
subst
trans
appThm
486
remove
appThm
sym
nil
78
ref
501
ref
cons
502
def
500
remove
cons
nil
cons
cons
503
def
97
ref
subst
503
remove
146
ref
subst
nil
472
remove
79
ref
365
ref
nil
cons
504
def
cons
nil
cons
505
def
cons
nil
cons
cons
506
def
340
ref
subst
506
ref
97
ref
subst
506
remove
146
ref
subst
nil
502
ref
505
remove
cons
nil
cons
cons
137
ref
subst
327
ref
224
ref
491
ref
refl
474
remove
appThm
364
ref
refl
appThm
appThm
53
ref
refl
507
def
appThm
nil
154
ref
364
remove
nil
cons
cons
203
ref
149
ref
cons
508
def
nil
cons
509
def
cons
nil
cons
cons
154
ref
23
ref
60
ref
491
ref
207
ref
appTerm
510
def
158
ref
appTerm
511
def
appTerm
512
def
207
ref
appTerm
appTerm
488
ref
appTerm
absTerm
513
def
158
ref
appTerm
514
def
betaConv
203
ref
73
ref
513
ref
appTerm
515
def
absTerm
516
def
207
ref
appTerm
517
def
betaConv
nil
73
ref
516
ref
appTerm
518
def
axiom
nil
78
ref
518
remove
nil
cons
cons
79
ref
517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
516
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
515
remove
nil
cons
cons
79
ref
514
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
513
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
appThm
365
ref
refl
519
def
appThm
nil
45
ref
504
ref
cons
nil
cons
nil
cons
cons
nil
45
ref
80
ref
46
ref
appTerm
520
def
46
ref
appTerm
521
def
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
45
ref
521
remove
absTerm
522
def
46
ref
appTerm
523
def
betaConv
nil
168
ref
522
ref
appTerm
524
def
axiom
nil
78
ref
524
remove
nil
cons
cons
79
ref
523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
522
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
525
def
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
475
remove
117
ref
504
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
471
remove
365
ref
appTerm
nil
cons
cons
79
ref
80
ref
365
ref
appTerm
374
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
78
ref
504
ref
cons
382
ref
cons
nil
cons
cons
526
def
97
ref
subst
526
remove
146
ref
subst
nil
502
remove
382
remove
cons
nil
cons
cons
137
ref
subst
327
ref
224
ref
497
remove
refl
365
ref
assume
appThm
nil
203
ref
373
remove
nil
cons
cons
nil
cons
nil
cons
cons
203
ref
60
ref
510
ref
12
ref
appTerm
appTerm
207
ref
appTerm
absTerm
527
def
207
ref
appTerm
528
def
betaConv
nil
73
ref
527
ref
appTerm
529
def
axiom
nil
78
ref
529
remove
nil
cons
cons
79
ref
528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
527
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
530
def
subst
trans
appThm
507
ref
appThm
appThm
378
remove
appThm
nil
45
ref
381
remove
cons
nil
cons
nil
cons
cons
525
ref
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
504
ref
cons
449
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
116
ref
501
remove
cons
117
ref
499
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
116
ref
376
remove
cons
117
ref
367
remove
cons
nil
cons
531
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
532
def
eqMp
nil
477
ref
531
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
533
def
subst
eqMp
eqMp
534
def
eqMp
absThm
eqMp
nil
73
ref
276
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
80
ref
237
ref
53
ref
appTerm
535
def
appTerm
54
ref
appTerm
536
def
absTerm
537
def
appTerm
538
def
absTerm
539
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
538
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
537
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
536
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
535
ref
nil
cons
540
def
cons
79
ref
54
ref
nil
cons
541
def
cons
nil
cons
542
def
cons
nil
cons
cons
543
def
97
ref
subst
543
remove
146
ref
subst
9
ref
refl
544
def
535
ref
assume
appThm
507
ref
appThm
nil
6
ref
149
ref
cons
nil
cons
545
def
nil
cons
cons
546
def
219
ref
subst
547
def
trans
sym
49
ref
eqMp
eqMp
nil
116
ref
540
ref
cons
117
ref
541
ref
cons
nil
cons
548
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
539
remove
appTerm
thm
73
ref
refl
549
def
6
ref
119
ref
nil
51
ref
216
ref
cons
nil
cons
nil
cons
cons
151
ref
subst
223
ref
59
ref
nil
155
ref
226
ref
cons
nil
cons
cons
550
def
154
ref
23
ref
435
ref
202
ref
appTerm
appTerm
86
ref
406
ref
202
ref
appTerm
appTerm
487
ref
202
ref
appTerm
551
def
appTerm
appTerm
absTerm
552
def
158
ref
appTerm
553
def
betaConv
203
ref
73
ref
552
ref
appTerm
554
def
absTerm
555
def
207
ref
appTerm
556
def
betaConv
nil
73
ref
555
ref
appTerm
557
def
axiom
nil
78
ref
557
remove
nil
cons
cons
79
ref
556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
555
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
554
remove
nil
cons
cons
79
ref
553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
552
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
558
def
subst
absThm
appThm
119
ref
223
ref
59
ref
86
ref
233
ref
202
ref
appTerm
559
def
appTerm
560
def
refl
59
ref
237
ref
202
ref
appTerm
561
def
absTerm
562
def
64
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
562
ref
202
ref
appTerm
betaConv
appThm
nil
"p"
4
ref
var
563
def
562
remove
nil
cons
cons
222
remove
cons
nil
cons
cons
18
ref
"a"
25
ref
var
564
def
23
ref
165
ref
34
ref
86
ref
259
ref
564
remove
varTerm
565
def
appTerm
appTerm
169
ref
appTerm
absTerm
appTerm
appTerm
33
ref
565
ref
appTerm
appTerm
absTerm
566
def
565
ref
appTerm
567
def
betaConv
32
ref
28
ref
566
ref
appTerm
568
def
absTerm
569
def
33
ref
appTerm
570
def
betaConv
nil
24
ref
39
remove
constTerm
571
def
569
ref
appTerm
572
def
axiom
nil
78
ref
572
remove
nil
cons
cons
79
ref
570
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
"A"
257
remove
cons
nil
cons
573
def
"P"
27
remove
var
574
def
569
remove
nil
cons
cons
"x"
26
ref
var
575
def
33
ref
nil
cons
cons
nil
cons
576
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
568
remove
nil
cons
cons
79
ref
567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
566
remove
nil
cons
cons
34
ref
565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
trans
trans
appThm
561
ref
refl
appThm
nil
252
ref
561
ref
nil
cons
577
def
cons
nil
cons
578
def
nil
cons
cons
178
ref
nil
45
ref
259
remove
142
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
147
ref
eqMp
579
def
subst
580
def
subst
trans
absThm
appThm
nil
45
ref
35
ref
nil
cons
cons
nil
cons
nil
cons
cons
581
def
18
ref
45
ref
23
ref
28
ref
248
remove
appTerm
appTerm
46
ref
appTerm
absTerm
582
def
46
ref
appTerm
583
def
betaConv
nil
168
ref
582
ref
appTerm
584
def
axiom
nil
78
ref
584
remove
nil
cons
cons
79
ref
583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
582
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
585
def
subst
subst
586
def
trans
sym
49
ref
eqMp
nil
73
ref
6
ref
23
ref
11
ref
202
ref
appTerm
appTerm
561
ref
appTerm
absTerm
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
54
ref
appTerm
587
def
11
ref
63
ref
53
ref
appTerm
588
def
64
ref
appTerm
589
def
appTerm
590
def
appTerm
591
def
absTerm
592
def
appTerm
593
def
absTerm
594
def
appTerm
595
def
absTerm
596
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
595
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
594
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
593
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
592
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
591
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
587
ref
refl
11
ref
refl
597
def
nil
432
ref
509
ref
cons
nil
cons
cons
444
ref
subst
appThm
appThm
sym
nil
51
ref
225
ref
cons
598
def
59
ref
149
ref
cons
599
def
nil
cons
600
def
cons
nil
cons
cons
59
ref
80
ref
11
ref
64
ref
appTerm
601
def
appTerm
590
remove
appTerm
absTerm
602
def
64
ref
appTerm
603
def
betaConv
51
ref
73
ref
602
ref
appTerm
604
def
absTerm
605
def
53
ref
appTerm
606
def
betaConv
6
ref
73
ref
605
ref
appTerm
607
def
absTerm
608
def
10
ref
appTerm
609
def
betaConv
549
ref
6
ref
549
ref
51
ref
549
ref
59
ref
327
ref
nil
598
ref
nil
cons
nil
cons
cons
151
ref
subst
610
def
appThm
nil
51
ref
589
ref
nil
cons
cons
nil
cons
nil
cons
cons
151
ref
subst
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
58
ref
"c'"
1
ref
var
611
def
60
ref
63
ref
611
ref
varTerm
612
def
appTerm
613
def
10
ref
appTerm
614
def
appTerm
615
def
64
ref
appTerm
616
def
absTerm
617
def
appTerm
618
def
appTerm
619
def
58
ref
611
ref
615
ref
589
remove
appTerm
absTerm
620
def
appTerm
621
def
appTerm
622
def
absTerm
623
def
appTerm
624
def
absTerm
625
def
appTerm
626
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
626
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
625
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
624
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
623
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
622
remove
nil
cons
627
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
611
ref
80
ref
617
ref
612
ref
appTerm
628
def
appTerm
629
def
621
ref
appTerm
630
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
630
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
628
ref
nil
cons
631
def
cons
632
def
79
ref
621
ref
nil
cons
633
def
cons
nil
cons
634
def
cons
nil
cons
cons
635
def
97
ref
subst
635
remove
146
ref
subst
628
ref
betaConv
628
remove
assume
eqMp
636
def
nil
78
ref
616
ref
nil
cons
637
def
cons
638
def
634
remove
cons
nil
cons
cons
639
def
137
ref
subst
proveHyp
639
ref
97
ref
subst
639
remove
146
ref
subst
620
ref
588
ref
612
ref
appTerm
640
def
appTerm
betaConv
sym
nil
"p"
1
ref
var
641
def
139
ref
cons
642
def
154
ref
612
ref
nil
cons
643
def
cons
644
def
509
ref
cons
cons
nil
cons
cons
641
ref
60
ref
63
ref
409
remove
appTerm
641
ref
varTerm
645
def
appTerm
646
def
appTerm
228
ref
436
remove
645
ref
appTerm
647
def
appTerm
648
def
appTerm
649
def
absTerm
650
def
645
ref
appTerm
651
def
betaConv
154
ref
73
ref
650
ref
appTerm
652
def
absTerm
653
def
158
ref
appTerm
654
def
betaConv
203
ref
73
ref
653
ref
appTerm
655
def
absTerm
656
def
207
ref
appTerm
657
def
betaConv
549
ref
203
ref
549
ref
154
ref
549
ref
641
ref
649
remove
assume
sym
60
ref
648
remove
appTerm
646
remove
appTerm
658
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
73
ref
203
ref
73
ref
154
ref
73
ref
641
ref
658
remove
absTerm
659
def
appTerm
660
def
absTerm
661
def
appTerm
662
def
absTerm
663
def
appTerm
664
def
axiom
665
def
eqMp
nil
78
ref
73
ref
656
ref
appTerm
nil
cons
cons
79
ref
657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
656
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
655
remove
nil
cons
cons
79
ref
654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
653
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
652
remove
nil
cons
cons
79
ref
651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
650
remove
nil
cons
cons
138
ref
645
ref
nil
cons
666
def
cons
nil
cons
667
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
668
def
subst
588
ref
refl
669
def
616
remove
assume
670
def
appThm
trans
eqMp
16
ref
5
ref
620
remove
nil
cons
cons
138
ref
640
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
nil
116
ref
637
remove
cons
671
def
117
ref
633
remove
cons
nil
cons
672
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
631
remove
cons
673
def
672
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
617
ref
451
ref
appTerm
appTerm
674
def
621
remove
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
627
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
617
ref
nil
cons
cons
675
def
672
remove
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
676
def
nil
78
ref
73
ref
608
ref
appTerm
677
def
nil
cons
cons
79
ref
609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
608
remove
nil
cons
cons
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
607
remove
nil
cons
cons
79
ref
606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
605
remove
nil
cons
cons
150
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
604
remove
nil
cons
cons
79
ref
603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
602
remove
nil
cons
cons
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
678
def
subst
eqMp
679
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
596
remove
appTerm
thm
676
remove
nil
677
remove
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
9
ref
403
remove
53
ref
appTerm
680
def
appTerm
681
def
64
ref
appTerm
appTerm
682
def
601
ref
appTerm
683
def
absTerm
684
def
appTerm
685
def
absTerm
686
def
appTerm
687
def
absTerm
688
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
687
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
686
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
685
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
684
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
683
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
544
ref
nil
154
ref
149
ref
cons
689
def
434
ref
cons
nil
cons
cons
690
def
444
ref
subst
appThm
691
def
446
ref
appThm
appThm
601
ref
refl
appThm
sym
nil
199
ref
545
ref
cons
nil
cons
cons
692
def
59
ref
682
remove
9
ref
53
ref
appTerm
693
def
64
ref
appTerm
694
def
appTerm
absTerm
695
def
64
ref
appTerm
696
def
betaConv
51
ref
73
ref
695
ref
appTerm
697
def
absTerm
698
def
53
ref
appTerm
699
def
betaConv
6
ref
73
ref
698
ref
appTerm
700
def
absTerm
701
def
10
ref
appTerm
702
def
betaConv
549
ref
6
ref
549
ref
51
ref
549
ref
59
ref
327
ref
nil
598
ref
6
ref
680
ref
nil
cons
cons
nil
cons
703
def
cons
nil
cons
cons
151
ref
subst
appThm
nil
598
remove
545
ref
cons
nil
cons
cons
151
ref
subst
704
def
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
58
ref
611
ref
60
ref
613
ref
680
ref
appTerm
appTerm
705
def
64
ref
appTerm
706
def
absTerm
707
def
appTerm
appTerm
58
ref
611
ref
60
ref
613
ref
53
ref
appTerm
708
def
appTerm
709
def
64
ref
appTerm
710
def
absTerm
711
def
appTerm
712
def
appTerm
713
def
absTerm
714
def
appTerm
715
def
absTerm
716
def
appTerm
717
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
717
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
716
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
715
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
714
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
713
remove
nil
cons
718
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
611
ref
80
ref
707
ref
612
ref
appTerm
719
def
appTerm
712
ref
appTerm
720
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
720
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
719
ref
nil
cons
721
def
cons
79
ref
712
ref
nil
cons
722
def
cons
nil
cons
723
def
cons
nil
cons
cons
724
def
97
ref
subst
724
remove
146
ref
subst
719
ref
betaConv
719
remove
assume
eqMp
nil
78
ref
706
ref
nil
cons
725
def
cons
723
remove
cons
nil
cons
cons
726
def
137
ref
subst
proveHyp
726
ref
97
ref
subst
726
remove
146
ref
subst
711
ref
614
ref
appTerm
betaConv
sym
nil
641
ref
149
remove
cons
727
def
155
ref
203
ref
643
remove
cons
nil
cons
728
def
cons
729
def
cons
nil
cons
cons
668
ref
subst
706
remove
assume
trans
eqMp
16
ref
5
ref
711
ref
nil
cons
cons
730
def
138
ref
614
ref
nil
cons
731
def
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
nil
116
ref
725
remove
cons
117
ref
722
ref
cons
nil
cons
732
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
721
remove
cons
732
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
707
ref
451
ref
appTerm
appTerm
712
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
718
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
707
remove
nil
cons
cons
732
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
733
def
nil
78
ref
73
ref
701
ref
appTerm
734
def
nil
cons
cons
79
ref
702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
701
remove
nil
cons
cons
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
700
remove
nil
cons
cons
79
ref
699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
698
remove
nil
cons
cons
150
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
697
remove
nil
cons
cons
79
ref
696
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
695
remove
nil
cons
cons
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
688
remove
appTerm
thm
733
remove
nil
734
remove
thm
nil
5
ref
6
ref
73
ref
51
ref
80
ref
86
ref
54
ref
appTerm
735
def
693
ref
10
ref
appTerm
appTerm
appTerm
535
ref
appTerm
736
def
absTerm
737
def
appTerm
738
def
absTerm
739
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
738
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
737
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
736
remove
nil
cons
740
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
282
ref
60
ref
53
ref
appTerm
741
def
12
ref
appTerm
742
def
appTerm
743
def
nil
cons
744
def
cons
745
def
79
ref
740
ref
cons
nil
cons
746
def
cons
nil
cons
cons
747
def
97
ref
subst
747
remove
146
ref
subst
327
ref
86
ref
refl
748
def
151
ref
appThm
749
def
692
remove
151
ref
subst
appThm
appThm
535
ref
refl
appThm
sym
nil
78
ref
86
ref
70
ref
appTerm
750
def
58
ref
59
ref
60
ref
65
ref
53
ref
appTerm
appTerm
751
def
10
ref
appTerm
absTerm
752
def
appTerm
753
def
appTerm
nil
cons
754
def
cons
79
ref
540
ref
cons
nil
cons
755
def
cons
nil
cons
cons
756
def
97
ref
subst
756
remove
146
ref
subst
nil
116
ref
379
remove
cons
757
def
117
ref
753
ref
nil
cons
758
def
cons
nil
cons
cons
nil
cons
cons
759
def
131
ref
subst
759
remove
339
ref
subst
nil
380
ref
755
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
59
ref
384
ref
535
ref
appTerm
760
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
760
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
387
ref
755
ref
cons
nil
cons
cons
761
def
97
ref
subst
761
remove
146
ref
subst
389
ref
nil
391
ref
755
ref
cons
nil
cons
cons
762
def
137
ref
subst
proveHyp
762
ref
97
ref
subst
762
remove
146
ref
subst
nil
78
ref
758
remove
cons
755
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
611
ref
80
ref
752
ref
612
ref
appTerm
763
def
appTerm
535
ref
appTerm
764
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
764
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
763
ref
nil
cons
765
def
cons
755
ref
cons
nil
cons
cons
766
def
97
ref
subst
766
remove
146
ref
subst
763
ref
betaConv
763
remove
assume
eqMp
nil
78
ref
709
ref
10
ref
appTerm
767
def
nil
cons
768
def
cons
755
remove
cons
nil
cons
cons
769
def
137
ref
subst
proveHyp
769
ref
97
ref
subst
769
remove
146
ref
subst
23
ref
"_29235"
1
ref
var
770
def
60
ref
770
remove
varTerm
appTerm
53
ref
appTerm
absTerm
771
def
10
ref
appTerm
772
def
appTerm
refl
771
ref
708
ref
appTerm
betaConv
appThm
119
ref
772
remove
betaConv
appThm
709
remove
53
ref
appTerm
773
def
refl
appThm
trans
771
remove
refl
767
remove
assume
sym
774
def
appThm
eqMp
sym
23
ref
"_29239"
1
ref
var
775
def
60
ref
65
ref
775
remove
varTerm
appTerm
appTerm
53
ref
appTerm
absTerm
776
def
10
ref
appTerm
777
def
appTerm
refl
776
ref
708
ref
appTerm
betaConv
appThm
119
ref
777
remove
betaConv
appThm
60
ref
65
ref
708
ref
appTerm
appTerm
53
ref
appTerm
778
def
refl
appThm
trans
776
remove
refl
774
remove
appThm
eqMp
400
remove
eqMp
nil
78
ref
778
remove
nil
cons
cons
79
ref
773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
224
ref
nil
727
ref
644
ref
226
remove
cons
779
def
cons
nil
cons
cons
659
ref
645
ref
appTerm
780
def
betaConv
661
ref
158
ref
appTerm
781
def
betaConv
663
ref
207
ref
appTerm
782
def
betaConv
665
remove
nil
78
ref
664
remove
nil
cons
cons
79
ref
782
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
663
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
662
remove
nil
cons
cons
79
ref
781
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
661
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
660
remove
nil
cons
cons
79
ref
780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
659
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
783
def
subst
appThm
507
ref
appThm
nil
508
ref
154
ref
65
ref
612
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
154
ref
23
ref
60
ref
437
remove
appTerm
207
ref
appTerm
appTerm
"Data.Bool.\\/"
const
22
ref
constTerm
784
def
407
ref
appTerm
785
def
551
remove
appTerm
appTerm
absTerm
786
def
158
ref
appTerm
787
def
betaConv
203
ref
73
ref
786
ref
appTerm
788
def
absTerm
789
def
207
ref
appTerm
790
def
betaConv
nil
73
ref
789
ref
appTerm
791
def
axiom
nil
78
ref
791
remove
nil
cons
cons
79
ref
790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
789
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
788
remove
nil
cons
cons
79
ref
787
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
786
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
792
def
subst
784
ref
refl
793
def
nil
745
remove
79
ref
23
ref
742
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
742
ref
nil
cons
794
def
cons
795
def
nil
cons
nil
cons
cons
350
ref
subst
eqMp
796
def
appThm
797
def
nil
779
remove
nil
cons
cons
558
remove
subst
appThm
nil
45
ref
560
remove
60
ref
612
ref
appTerm
202
ref
appTerm
798
def
appTerm
nil
cons
799
def
cons
nil
cons
nil
cons
cons
45
ref
23
ref
784
ref
318
ref
appTerm
800
def
46
ref
appTerm
appTerm
46
ref
appTerm
absTerm
801
def
46
ref
appTerm
802
def
betaConv
nil
168
ref
801
ref
appTerm
803
def
axiom
nil
78
ref
803
remove
nil
cons
cons
79
ref
802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
801
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
804
def
subst
trans
trans
trans
appThm
nil
508
ref
644
ref
nil
cons
cons
nil
cons
cons
792
remove
subst
797
remove
798
ref
refl
appThm
nil
45
ref
798
remove
nil
cons
805
def
cons
nil
cons
nil
cons
cons
804
ref
subst
trans
trans
appThm
sym
nil
78
ref
799
ref
cons
79
ref
805
ref
cons
nil
cons
cons
nil
cons
cons
806
def
97
ref
subst
806
remove
146
ref
subst
nil
116
ref
559
remove
nil
cons
cons
117
ref
805
remove
cons
nil
cons
807
def
cons
nil
cons
cons
339
ref
subst
eqMp
nil
116
ref
799
remove
cons
807
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
116
ref
768
remove
cons
117
ref
540
remove
cons
nil
cons
808
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
765
remove
cons
808
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
752
ref
451
ref
appTerm
appTerm
535
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
753
remove
appTerm
535
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
752
remove
nil
cons
cons
808
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
448
ref
808
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
450
ref
808
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
452
ref
535
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
453
ref
535
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
455
ref
808
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
754
remove
cons
808
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
744
ref
cons
809
def
117
ref
740
ref
cons
nil
cons
810
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
794
ref
cons
746
remove
cons
nil
cons
cons
811
def
97
ref
subst
811
remove
146
ref
subst
327
ref
748
ref
597
remove
742
ref
assume
812
def
appThm
195
ref
trans
appThm
544
ref
812
ref
appThm
232
ref
appThm
270
ref
trans
appThm
nil
45
ref
418
ref
cons
nil
cons
nil
cons
cons
813
def
45
ref
23
ref
86
ref
35
ref
appTerm
814
def
46
ref
appTerm
appTerm
46
ref
appTerm
absTerm
815
def
46
ref
appTerm
816
def
betaConv
nil
168
ref
815
ref
appTerm
817
def
axiom
nil
78
ref
817
remove
nil
cons
cons
79
ref
816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
815
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
818
def
subst
trans
appThm
237
ref
refl
819
def
812
ref
appThm
appThm
813
remove
525
ref
subst
trans
sym
49
ref
eqMp
eqMp
nil
795
ref
810
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
45
ref
784
ref
46
ref
appTerm
820
def
282
ref
46
ref
appTerm
821
def
appTerm
absTerm
822
def
742
ref
appTerm
823
def
betaConv
nil
168
ref
822
ref
appTerm
824
def
axiom
825
def
nil
78
ref
824
remove
nil
cons
cons
826
def
79
ref
823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
822
ref
nil
cons
cons
827
def
252
ref
794
ref
cons
nil
cons
828
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
795
ref
117
ref
744
remove
cons
"R"
2
ref
var
829
def
740
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
78
ref
80
ref
122
ref
appTerm
830
def
829
ref
varTerm
831
def
appTerm
832
def
nil
cons
cons
79
ref
831
ref
nil
cons
833
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
78
ref
343
ref
831
ref
appTerm
nil
cons
cons
79
ref
80
ref
832
remove
appTerm
831
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
"r"
2
ref
var
834
def
80
ref
343
ref
834
ref
varTerm
835
def
appTerm
appTerm
836
def
80
ref
830
ref
835
ref
appTerm
appTerm
835
ref
appTerm
appTerm
absTerm
837
def
831
remove
appTerm
838
def
betaConv
23
ref
784
ref
120
ref
appTerm
839
def
122
ref
appTerm
840
def
appTerm
refl
79
ref
168
ref
834
ref
836
remove
80
ref
336
remove
835
ref
appTerm
appTerm
835
ref
appTerm
841
def
appTerm
absTerm
appTerm
absTerm
122
ref
appTerm
betaConv
appThm
105
remove
839
remove
appTerm
refl
78
ref
79
ref
168
ref
834
remove
80
ref
82
remove
835
remove
appTerm
appTerm
841
remove
appTerm
absTerm
appTerm
absTerm
absTerm
842
def
120
remove
appTerm
betaConv
appThm
nil
94
remove
784
ref
appTerm
842
remove
appTerm
axiom
129
remove
appThm
eqMp
125
remove
appThm
eqMp
843
def
840
remove
assume
eqMp
nil
78
ref
168
ref
837
ref
appTerm
nil
cons
cons
79
ref
838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
837
remove
nil
cons
cons
252
ref
833
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
844
def
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
739
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
80
ref
86
ref
743
ref
appTerm
845
def
54
ref
appTerm
appTerm
"Number.Natural.<="
const
8
ref
constTerm
846
def
10
ref
appTerm
847
def
53
ref
appTerm
848
def
appTerm
849
def
absTerm
850
def
appTerm
851
def
absTerm
852
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
851
remove
nil
cons
853
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
850
ref
nil
cons
cons
854
def
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
849
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
845
ref
refl
855
def
151
ref
appThm
appThm
848
ref
refl
appThm
sym
nil
78
ref
845
ref
70
remove
appTerm
nil
cons
856
def
cons
79
ref
848
ref
nil
cons
857
def
cons
nil
cons
858
def
cons
nil
cons
cons
859
def
97
ref
subst
859
remove
146
ref
subst
nil
809
ref
476
remove
cons
nil
cons
cons
860
def
131
ref
subst
860
remove
339
ref
subst
nil
380
ref
858
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
59
ref
384
remove
848
ref
appTerm
861
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
861
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
387
remove
858
ref
cons
nil
cons
cons
862
def
97
ref
subst
862
remove
146
ref
subst
389
remove
nil
391
remove
858
remove
cons
nil
cons
cons
863
def
137
ref
subst
proveHyp
863
ref
97
ref
subst
863
remove
146
ref
subst
23
ref
"_29231"
1
ref
var
864
def
847
ref
864
remove
varTerm
appTerm
absTerm
865
def
53
ref
appTerm
866
def
appTerm
refl
865
ref
66
ref
appTerm
betaConv
appThm
119
ref
866
remove
betaConv
appThm
847
ref
66
ref
appTerm
refl
appThm
trans
865
remove
refl
401
ref
appThm
eqMp
sym
846
ref
refl
867
def
nil
434
ref
nil
cons
cons
868
def
203
ref
406
ref
208
remove
appTerm
869
def
absTerm
870
def
207
ref
appTerm
871
def
betaConv
549
ref
203
ref
869
remove
assume
sym
209
remove
assume
sym
deductAntisym
absThm
appThm
213
remove
eqMp
nil
78
ref
73
ref
870
ref
appTerm
nil
cons
cons
79
ref
871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
870
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
447
ref
appThm
sym
nil
432
ref
642
ref
203
ref
216
ref
cons
nil
cons
cons
cons
nil
cons
cons
641
ref
23
ref
846
ref
228
remove
645
ref
appTerm
872
def
appTerm
647
ref
appTerm
appTerm
784
ref
846
ref
207
ref
appTerm
873
def
158
ref
appTerm
874
def
appTerm
60
ref
645
ref
appTerm
875
def
12
ref
appTerm
876
def
appTerm
appTerm
absTerm
877
def
645
ref
appTerm
878
def
betaConv
154
ref
73
ref
877
ref
appTerm
879
def
absTerm
880
def
158
ref
appTerm
881
def
betaConv
203
ref
73
ref
880
ref
appTerm
882
def
absTerm
883
def
207
ref
appTerm
884
def
betaConv
nil
73
ref
883
ref
appTerm
885
def
axiom
nil
78
ref
885
remove
nil
cons
cons
79
ref
884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
883
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
882
remove
nil
cons
cons
79
ref
881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
880
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
879
remove
nil
cons
cons
79
ref
878
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
877
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
886
def
subst
sym
23
ref
"_29233"
1
ref
var
887
def
282
ref
60
ref
887
remove
varTerm
appTerm
12
ref
appTerm
appTerm
absTerm
888
def
53
ref
appTerm
889
def
appTerm
refl
890
def
888
ref
66
ref
appTerm
betaConv
appThm
119
ref
889
remove
betaConv
appThm
891
def
282
ref
152
remove
appTerm
892
def
refl
appThm
trans
888
remove
refl
893
def
401
remove
appThm
eqMp
743
remove
assume
894
def
eqMp
nil
78
ref
892
remove
nil
cons
cons
79
ref
846
ref
202
ref
appTerm
64
ref
appTerm
895
def
nil
cons
896
def
cons
nil
cons
897
def
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
283
ref
550
remove
154
ref
23
ref
435
remove
12
ref
appTerm
appTerm
785
remove
488
remove
appTerm
appTerm
absTerm
898
def
158
ref
appTerm
899
def
betaConv
203
ref
73
ref
898
ref
appTerm
900
def
absTerm
901
def
207
ref
appTerm
902
def
betaConv
nil
73
ref
901
ref
appTerm
903
def
axiom
nil
78
ref
903
remove
nil
cons
cons
79
ref
902
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
901
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
900
remove
nil
cons
cons
79
ref
899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
898
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
nil
"t2"
2
ref
var
904
def
418
ref
cons
"t1"
2
ref
var
905
def
233
remove
12
ref
appTerm
906
def
nil
cons
907
def
cons
nil
cons
cons
nil
cons
cons
904
ref
23
ref
282
ref
784
ref
905
ref
varTerm
908
def
appTerm
904
ref
varTerm
909
def
appTerm
910
def
appTerm
appTerm
86
ref
282
ref
908
ref
appTerm
911
def
appTerm
282
ref
909
ref
appTerm
912
def
appTerm
appTerm
absTerm
913
def
909
ref
appTerm
914
def
betaConv
905
ref
168
ref
913
ref
appTerm
915
def
absTerm
916
def
908
ref
appTerm
917
def
betaConv
nil
168
ref
916
ref
appTerm
918
def
axiom
nil
78
ref
918
remove
nil
cons
cons
79
ref
917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
916
remove
nil
cons
cons
252
ref
908
ref
nil
cons
cons
nil
cons
919
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
915
remove
nil
cons
cons
79
ref
914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
913
remove
nil
cons
cons
252
ref
909
ref
nil
cons
cons
nil
cons
920
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
appThm
895
remove
refl
appThm
sym
nil
78
ref
86
ref
282
ref
906
ref
appTerm
921
def
appTerm
360
remove
appTerm
nil
cons
922
def
cons
897
remove
cons
nil
cons
cons
923
def
97
ref
subst
923
remove
146
ref
subst
nil
116
ref
921
remove
nil
cons
924
def
cons
117
ref
361
remove
cons
925
def
nil
cons
cons
nil
cons
cons
131
ref
subst
867
remove
298
ref
appThm
446
ref
appThm
nil
432
ref
203
ref
52
ref
cons
nil
cons
cons
nil
cons
cons
154
ref
23
ref
846
ref
287
ref
207
ref
appTerm
926
def
appTerm
158
ref
appTerm
appTerm
"Number.Natural.<"
const
8
ref
constTerm
927
def
207
ref
appTerm
928
def
158
ref
appTerm
929
def
appTerm
absTerm
930
def
158
ref
appTerm
931
def
betaConv
203
ref
73
ref
930
ref
appTerm
932
def
absTerm
933
def
207
ref
appTerm
934
def
betaConv
nil
73
ref
933
ref
appTerm
935
def
axiom
nil
78
ref
935
remove
nil
cons
cons
79
ref
934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
933
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
932
remove
nil
cons
cons
79
ref
931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
930
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
432
ref
nil
cons
nil
cons
cons
154
ref
23
ref
927
ref
12
ref
appTerm
936
def
158
ref
appTerm
appTerm
489
remove
appTerm
absTerm
937
def
158
ref
appTerm
938
def
betaConv
nil
73
ref
937
ref
appTerm
939
def
axiom
nil
78
ref
939
remove
nil
cons
cons
79
ref
938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
937
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
940
def
subst
283
ref
nil
78
ref
924
remove
cons
79
ref
23
ref
906
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
907
ref
cons
nil
cons
nil
cons
cons
350
ref
subst
eqMp
appThm
353
ref
trans
trans
trans
trans
sym
49
ref
eqMp
proveHyp
eqMp
nil
116
ref
922
remove
cons
117
ref
896
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
896
remove
cons
117
ref
418
ref
cons
nil
cons
cons
nil
cons
cons
843
remove
sym
nil
172
ref
45
ref
80
ref
343
remove
46
ref
appTerm
941
def
appTerm
80
ref
830
remove
46
ref
appTerm
942
def
appTerm
46
ref
appTerm
943
def
appTerm
944
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
179
remove
subst
45
ref
nil
45
ref
944
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
941
ref
nil
cons
945
def
cons
79
ref
943
remove
nil
cons
946
def
cons
nil
cons
cons
nil
cons
cons
947
def
97
ref
subst
947
remove
146
ref
subst
nil
78
ref
942
remove
nil
cons
948
def
cons
79
ref
253
ref
cons
nil
cons
949
def
cons
nil
cons
cons
950
def
97
ref
subst
950
remove
146
ref
subst
nil
324
remove
949
remove
cons
nil
cons
cons
137
ref
subst
941
remove
assume
eqMp
eqMp
nil
116
ref
948
remove
cons
117
ref
253
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
nil
116
ref
945
remove
cons
117
ref
946
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
448
remove
117
ref
857
ref
cons
nil
cons
951
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
450
remove
951
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
452
ref
848
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
453
ref
848
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
455
ref
951
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
856
remove
cons
951
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
952
def
eqMp
absThm
eqMp
nil
73
ref
852
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
735
ref
694
ref
appTerm
953
def
appTerm
601
ref
appTerm
954
def
absTerm
955
def
appTerm
956
def
absTerm
957
def
appTerm
958
def
absTerm
959
def
nil
cons
cons
960
def
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
958
remove
nil
cons
961
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
957
ref
nil
cons
cons
962
def
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
956
remove
nil
cons
963
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
955
ref
nil
cons
cons
964
def
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
954
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
749
ref
704
ref
appThm
appThm
610
ref
appThm
sym
nil
78
ref
750
ref
712
ref
appTerm
nil
cons
965
def
cons
79
ref
618
ref
nil
cons
966
def
cons
nil
cons
967
def
cons
nil
cons
cons
968
def
97
ref
subst
968
remove
146
ref
subst
nil
757
ref
732
remove
cons
nil
cons
cons
969
def
131
ref
subst
969
remove
339
ref
subst
nil
380
ref
967
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
611
ref
80
ref
69
remove
612
ref
appTerm
970
def
appTerm
971
def
618
ref
appTerm
972
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
972
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
970
ref
nil
cons
973
def
cons
974
def
967
ref
cons
nil
cons
cons
975
def
97
ref
subst
975
remove
146
ref
subst
970
ref
betaConv
970
remove
assume
eqMp
976
def
nil
78
ref
615
ref
53
ref
appTerm
977
def
nil
cons
978
def
cons
979
def
967
ref
cons
nil
cons
cons
980
def
137
ref
subst
proveHyp
980
ref
97
ref
subst
980
remove
146
ref
subst
nil
78
ref
722
ref
cons
967
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
"c''"
1
ref
var
981
def
80
ref
711
ref
981
ref
varTerm
982
def
appTerm
983
def
appTerm
618
ref
appTerm
984
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
981
ref
nil
45
ref
984
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
983
ref
nil
cons
985
def
cons
967
ref
cons
nil
cons
cons
986
def
97
ref
subst
986
remove
146
ref
subst
983
ref
betaConv
983
remove
assume
eqMp
nil
78
ref
60
ref
63
ref
982
ref
appTerm
987
def
53
ref
appTerm
988
def
appTerm
989
def
64
ref
appTerm
990
def
nil
cons
991
def
cons
967
remove
cons
nil
cons
cons
992
def
137
ref
subst
proveHyp
992
ref
97
ref
subst
992
remove
146
ref
subst
23
ref
"_29241"
1
ref
var
993
def
58
ref
611
ref
615
ref
993
remove
varTerm
appTerm
absTerm
appTerm
absTerm
994
def
64
ref
appTerm
995
def
appTerm
refl
994
ref
988
ref
appTerm
betaConv
appThm
119
ref
995
remove
betaConv
appThm
58
ref
611
ref
615
ref
988
ref
appTerm
absTerm
appTerm
refl
appThm
trans
994
remove
refl
990
remove
assume
sym
appThm
eqMp
sym
23
ref
"_29245"
1
ref
var
996
def
58
ref
611
ref
615
ref
987
ref
996
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
997
def
53
ref
appTerm
998
def
appTerm
refl
997
ref
614
ref
appTerm
betaConv
appThm
119
ref
998
remove
betaConv
appThm
58
ref
"c'''"
1
ref
var
999
def
60
ref
63
ref
999
ref
varTerm
appTerm
10
ref
appTerm
appTerm
1000
def
987
ref
614
ref
appTerm
1001
def
appTerm
absTerm
1002
def
appTerm
refl
appThm
trans
997
remove
refl
977
remove
assume
sym
1003
def
appThm
eqMp
sym
1002
ref
987
ref
612
ref
appTerm
1004
def
appTerm
betaConv
sym
nil
642
ref
644
ref
203
ref
982
ref
nil
cons
1005
def
cons
nil
cons
1006
def
cons
cons
nil
cons
cons
783
ref
subst
nil
78
ref
60
ref
1001
ref
appTerm
63
ref
1004
ref
appTerm
10
ref
appTerm
1007
def
appTerm
nil
cons
cons
79
ref
60
ref
1007
ref
appTerm
1001
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
138
ref
1001
remove
nil
cons
cons
255
remove
1007
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
18
ref
34
ref
80
ref
261
remove
appTerm
262
remove
appTerm
1008
def
absTerm
1009
def
142
ref
appTerm
1010
def
betaConv
256
ref
28
ref
1009
ref
appTerm
1011
def
absTerm
1012
def
260
ref
appTerm
1013
def
betaConv
nil
28
ref
34
ref
28
ref
256
ref
1008
ref
absTerm
1014
def
appTerm
1015
def
absTerm
1016
def
appTerm
1017
def
axiom
nil
78
ref
1017
remove
nil
cons
1018
def
cons
1019
def
79
ref
28
ref
1012
ref
appTerm
nil
cons
1020
def
cons
nil
cons
cons
nil
cons
cons
1021
def
137
ref
subst
proveHyp
1021
ref
97
ref
subst
1021
remove
146
ref
subst
nil
29
ref
1012
remove
nil
cons
cons
1022
def
nil
cons
nil
cons
cons
43
ref
subst
256
ref
nil
45
ref
1011
remove
nil
cons
1023
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
29
ref
1009
remove
nil
cons
cons
1024
def
nil
cons
nil
cons
cons
43
ref
subst
34
ref
nil
45
ref
1008
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
1014
ref
260
ref
appTerm
1025
def
betaConv
1016
ref
142
ref
appTerm
1026
def
betaConv
nil
1019
remove
79
ref
1026
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
189
ref
29
ref
1016
remove
nil
cons
cons
191
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1015
remove
nil
cons
cons
79
ref
1025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1014
remove
nil
cons
cons
269
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
116
ref
1018
remove
cons
117
ref
1020
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
nil
78
ref
1020
remove
cons
79
ref
1013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
1022
remove
269
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1023
remove
cons
79
ref
1010
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
1024
remove
191
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
16
ref
5
ref
1002
remove
nil
cons
cons
138
ref
1004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
116
ref
991
remove
cons
117
ref
966
ref
cons
nil
cons
1027
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
985
remove
cons
1027
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
711
remove
451
ref
appTerm
appTerm
618
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
712
remove
appTerm
618
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
730
remove
1027
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
978
remove
cons
1028
def
1027
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
973
remove
cons
1029
def
1027
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
452
ref
618
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
453
ref
618
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
455
ref
1027
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
965
remove
cons
1027
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1030
def
nil
73
ref
959
ref
appTerm
1031
def
thm
nil
5
ref
6
ref
73
ref
51
ref
23
ref
73
ref
59
ref
80
ref
694
ref
appTerm
601
ref
appTerm
1032
def
absTerm
1033
def
appTerm
1034
def
appTerm
54
ref
appTerm
1035
def
absTerm
1036
def
appTerm
1037
def
absTerm
1038
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1037
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1036
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1035
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1034
ref
nil
cons
1039
def
cons
1040
def
542
ref
cons
nil
cons
cons
1041
def
340
ref
subst
1041
ref
97
ref
subst
1041
remove
146
ref
subst
546
ref
218
ref
subst
nil
78
ref
693
ref
53
ref
appTerm
nil
cons
cons
542
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
600
remove
nil
cons
cons
1033
ref
64
ref
appTerm
1042
def
betaConv
nil
1040
remove
79
ref
1042
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
1033
remove
nil
cons
cons
1043
def
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
116
ref
1039
ref
cons
548
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1044
def
nil
78
ref
80
ref
1034
ref
appTerm
54
ref
appTerm
1045
def
nil
cons
1046
def
cons
79
ref
587
ref
1034
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
78
ref
541
ref
cons
1047
def
79
ref
1039
ref
cons
nil
cons
cons
nil
cons
cons
1048
def
97
ref
subst
1048
remove
146
ref
subst
nil
1043
remove
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1032
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
694
ref
nil
cons
1049
def
cons
79
ref
601
ref
nil
cons
1050
def
cons
nil
cons
1051
def
cons
nil
cons
cons
1052
def
97
ref
subst
1052
remove
146
ref
subst
51
ref
953
ref
absTerm
1053
def
53
ref
appTerm
1054
def
betaConv
1055
def
sym
748
ref
nil
45
ref
541
ref
cons
nil
cons
nil
cons
cons
50
ref
subst
54
ref
assume
eqMp
1056
def
appThm
nil
45
ref
1049
ref
cons
nil
cons
nil
cons
cons
1057
def
50
ref
subst
694
ref
assume
eqMp
appThm
581
ref
818
ref
subst
1058
def
trans
sym
49
ref
eqMp
eqMp
16
ref
5
ref
1053
ref
nil
cons
cons
1059
def
150
ref
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
78
ref
58
ref
1053
ref
appTerm
1060
def
nil
cons
1061
def
cons
1062
def
1051
ref
cons
nil
cons
cons
1063
def
137
ref
subst
proveHyp
59
ref
80
ref
1060
remove
appTerm
1064
def
601
ref
appTerm
1065
def
absTerm
1066
def
64
ref
appTerm
1067
def
betaConv
6
ref
73
ref
1066
ref
appTerm
1068
def
absTerm
1069
def
10
ref
appTerm
1070
def
betaConv
1030
remove
nil
78
ref
1031
ref
nil
cons
1071
def
cons
1072
def
79
ref
73
ref
1069
ref
appTerm
nil
cons
1073
def
cons
nil
cons
cons
nil
cons
cons
1074
def
137
ref
subst
proveHyp
1074
ref
97
ref
subst
1074
remove
146
ref
subst
nil
5
ref
1069
remove
nil
cons
cons
1075
def
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1068
remove
nil
cons
1076
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1066
remove
nil
cons
cons
1077
def
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1065
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
1063
ref
97
ref
subst
1063
remove
146
ref
subst
nil
1072
ref
1051
ref
cons
nil
cons
cons
1078
def
137
ref
subst
nil
1062
remove
79
ref
80
ref
1031
remove
appTerm
601
ref
appTerm
1079
def
nil
cons
1080
def
cons
nil
cons
1081
def
cons
nil
cons
cons
137
ref
subst
nil
5
ref
51
ref
80
ref
1054
ref
appTerm
1079
ref
appTerm
1082
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1082
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1054
ref
nil
cons
1083
def
cons
1081
ref
cons
nil
cons
cons
1084
def
97
ref
subst
1084
remove
146
ref
subst
1055
remove
1054
remove
assume
eqMp
nil
78
ref
953
remove
nil
cons
1085
def
cons
1086
def
1081
remove
cons
nil
cons
cons
1087
def
137
ref
subst
proveHyp
1087
ref
97
ref
subst
1087
remove
146
ref
subst
1078
ref
97
ref
subst
1078
remove
146
ref
subst
nil
1086
remove
1051
remove
cons
nil
cons
cons
137
ref
subst
955
remove
64
ref
appTerm
1088
def
betaConv
957
remove
53
ref
appTerm
1089
def
betaConv
959
remove
10
ref
appTerm
1090
def
betaConv
nil
1072
remove
79
ref
1090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
960
remove
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
961
remove
cons
79
ref
1089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
962
remove
150
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
963
remove
cons
79
ref
1088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
964
remove
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
1071
remove
cons
1091
def
117
ref
1050
remove
cons
nil
cons
1092
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
nil
116
ref
1085
remove
cons
117
ref
1080
remove
cons
nil
cons
1093
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
1083
remove
cons
1093
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
1053
remove
451
ref
appTerm
appTerm
1079
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
1064
remove
1079
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
1059
remove
1093
remove
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
1061
remove
cons
1092
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1091
remove
117
ref
1073
ref
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
nil
78
ref
1073
remove
cons
79
ref
1070
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
1075
remove
140
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1076
remove
cons
79
ref
1067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
1077
remove
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1094
def
eqMp
eqMp
nil
116
ref
1049
remove
cons
1092
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
116
ref
541
remove
cons
1095
def
117
ref
1039
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1038
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
23
ref
73
ref
59
ref
80
ref
9
ref
64
ref
appTerm
1096
def
10
ref
appTerm
1097
def
appTerm
1096
ref
53
ref
appTerm
1098
def
appTerm
1099
def
absTerm
1100
def
appTerm
1101
def
appTerm
54
ref
appTerm
1102
def
absTerm
1103
def
appTerm
1104
def
absTerm
1105
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1104
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1103
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1102
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1101
ref
nil
cons
1106
def
cons
1107
def
542
ref
cons
nil
cons
cons
1108
def
340
remove
subst
1108
ref
97
ref
subst
1108
remove
146
ref
subst
218
remove
nil
78
ref
198
remove
cons
542
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
59
ref
139
remove
cons
1109
def
nil
cons
nil
cons
cons
1100
ref
64
ref
appTerm
1110
def
betaConv
nil
1107
remove
79
ref
1110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
1100
remove
nil
cons
cons
1111
def
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
116
ref
1106
ref
cons
548
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1112
def
nil
78
ref
80
ref
1101
ref
appTerm
54
remove
appTerm
1113
def
nil
cons
1114
def
cons
79
ref
587
remove
1101
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
1047
remove
79
ref
1106
ref
cons
nil
cons
cons
nil
cons
cons
1115
def
97
ref
subst
1115
remove
146
ref
subst
nil
1111
remove
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1099
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1097
ref
nil
cons
1116
def
cons
79
ref
1098
ref
nil
cons
1117
def
cons
nil
cons
1118
def
cons
nil
cons
cons
1119
def
97
ref
subst
1119
remove
146
ref
subst
1120
def
"b'"
1
ref
var
1121
def
86
ref
1096
ref
1121
ref
varTerm
1122
def
appTerm
1123
def
appTerm
9
ref
1122
ref
appTerm
53
ref
appTerm
appTerm
absTerm
1124
def
10
ref
appTerm
betaConv
sym
748
ref
nil
45
ref
1116
ref
cons
nil
cons
nil
cons
cons
50
ref
subst
1097
ref
assume
eqMp
1125
def
appThm
1126
def
1056
remove
appThm
1058
ref
trans
sym
49
ref
eqMp
eqMp
16
ref
5
ref
1124
ref
nil
cons
cons
140
remove
cons
nil
cons
cons
194
ref
subst
proveHyp
nil
78
ref
58
ref
1124
remove
appTerm
nil
cons
cons
1118
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
599
ref
6
ref
225
remove
cons
nil
cons
1127
def
cons
nil
cons
cons
1094
remove
subst
eqMp
eqMp
nil
116
ref
1116
remove
cons
1128
def
117
ref
1117
ref
cons
nil
cons
cons
nil
cons
cons
1129
def
131
ref
subst
1130
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
1095
remove
117
ref
1106
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1105
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
1045
remove
absTerm
1131
def
appTerm
1132
def
absTerm
1133
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1132
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1131
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1046
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
1044
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1133
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
1113
remove
absTerm
1134
def
appTerm
1135
def
absTerm
1136
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1135
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1134
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1114
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
1112
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1136
remove
appTerm
thm
nil
5
ref
51
ref
80
ref
845
ref
846
ref
53
ref
appTerm
1137
def
12
ref
appTerm
appTerm
appTerm
693
ref
"Number.Natural.factorial"
const
61
remove
constTerm
1138
def
12
ref
appTerm
1139
def
appTerm
1140
def
appTerm
1141
def
absTerm
1142
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1141
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
855
ref
nil
509
ref
nil
cons
cons
1143
def
203
ref
23
ref
873
ref
12
ref
appTerm
appTerm
407
ref
appTerm
absTerm
1144
def
207
ref
appTerm
1145
def
betaConv
nil
73
ref
1144
ref
appTerm
1146
def
axiom
nil
78
ref
1146
remove
nil
cons
cons
79
ref
1145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1144
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1147
def
subst
appThm
appThm
1140
ref
refl
appThm
sym
nil
78
ref
845
ref
742
ref
appTerm
nil
cons
1148
def
cons
79
ref
1140
remove
nil
cons
1149
def
cons
nil
cons
cons
nil
cons
cons
1150
def
97
ref
subst
1150
remove
146
ref
subst
nil
809
ref
117
ref
794
ref
cons
nil
cons
cons
nil
cons
cons
1151
def
131
ref
subst
1151
remove
339
ref
subst
23
ref
"_29297"
1
ref
var
1152
def
9
ref
1152
remove
varTerm
appTerm
1139
ref
appTerm
absTerm
1153
def
53
ref
appTerm
1154
def
appTerm
refl
1153
ref
12
ref
appTerm
betaConv
appThm
119
ref
1154
remove
betaConv
appThm
236
remove
1139
remove
appTerm
1155
def
refl
1156
def
appThm
trans
1153
remove
refl
812
ref
appThm
eqMp
sym
890
remove
"_29299"
1
ref
var
1157
def
282
ref
60
ref
1157
remove
varTerm
appTerm
12
ref
appTerm
appTerm
absTerm
12
ref
appTerm
betaConv
appThm
891
remove
282
ref
247
remove
12
ref
appTerm
appTerm
1158
def
refl
appThm
trans
893
remove
812
ref
appThm
eqMp
894
remove
eqMp
nil
78
ref
1158
remove
nil
cons
cons
79
ref
1155
remove
nil
cons
1159
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
283
ref
nil
164
remove
nil
cons
cons
18
ref
579
remove
subst
1160
def
subst
1161
def
appThm
nil
23
ref
282
ref
35
ref
appTerm
1162
def
appTerm
318
ref
appTerm
axiom
1163
def
trans
appThm
1156
remove
appThm
nil
45
ref
1159
remove
cons
nil
cons
nil
cons
cons
45
ref
23
ref
344
ref
46
ref
appTerm
appTerm
35
ref
appTerm
absTerm
1164
def
46
ref
appTerm
1165
def
betaConv
nil
168
ref
1164
ref
appTerm
1166
def
axiom
nil
78
ref
1166
remove
nil
cons
cons
79
ref
1165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1164
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1167
def
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
1148
remove
cons
117
ref
1149
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
1142
remove
appTerm
1168
def
nil
cons
cons
79
ref
73
ref
6
ref
80
ref
73
ref
51
ref
80
ref
845
ref
1137
ref
10
ref
appTerm
1169
def
appTerm
1170
def
appTerm
693
ref
1138
ref
10
ref
appTerm
1171
def
appTerm
1172
def
appTerm
absTerm
1173
def
appTerm
1174
def
appTerm
73
ref
51
ref
80
ref
845
ref
1137
remove
287
ref
10
ref
appTerm
1175
def
appTerm
appTerm
appTerm
693
ref
1138
ref
1175
ref
appTerm
appTerm
appTerm
1176
def
absTerm
1177
def
appTerm
1178
def
appTerm
1179
def
absTerm
1180
def
appTerm
1181
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
5
ref
1180
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1179
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1174
ref
nil
cons
1182
def
cons
1183
def
79
ref
1178
remove
nil
cons
1184
def
cons
nil
cons
cons
nil
cons
cons
1185
def
97
ref
subst
1185
remove
146
ref
subst
nil
5
ref
1177
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1176
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
855
remove
nil
155
ref
509
remove
cons
nil
cons
cons
1186
def
154
ref
23
ref
873
remove
299
ref
appTerm
appTerm
784
ref
406
ref
299
ref
appTerm
appTerm
874
ref
appTerm
appTerm
absTerm
1187
def
158
ref
appTerm
1188
def
betaConv
203
ref
73
ref
1187
ref
appTerm
1189
def
absTerm
1190
def
207
ref
appTerm
1191
def
betaConv
nil
73
ref
1190
ref
appTerm
1192
def
axiom
nil
78
ref
1192
remove
nil
cons
cons
79
ref
1191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1190
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1189
remove
nil
cons
cons
79
ref
1188
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1187
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1193
def
subst
appThm
appThm
693
ref
refl
157
remove
154
ref
60
ref
1138
ref
299
ref
appTerm
appTerm
63
ref
299
ref
appTerm
1138
remove
158
ref
appTerm
appTerm
appTerm
absTerm
1194
def
158
ref
appTerm
1195
def
betaConv
nil
73
ref
1194
ref
appTerm
1196
def
axiom
nil
78
ref
1196
remove
nil
cons
cons
79
ref
1195
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1194
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
appThm
sym
nil
78
ref
845
remove
784
ref
741
remove
1175
ref
appTerm
1197
def
appTerm
1169
ref
appTerm
1198
def
appTerm
nil
cons
1199
def
cons
79
ref
693
ref
63
ref
1175
ref
appTerm
1171
ref
appTerm
appTerm
nil
cons
1200
def
cons
nil
cons
1201
def
cons
nil
cons
cons
1202
def
97
ref
subst
1202
remove
146
ref
subst
nil
809
remove
117
ref
1198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1203
def
131
ref
subst
1203
remove
339
ref
subst
nil
78
ref
1169
ref
nil
cons
1204
def
cons
1201
ref
cons
nil
cons
cons
1205
def
97
ref
subst
1205
remove
146
ref
subst
748
ref
283
ref
796
remove
appThm
353
ref
trans
appThm
nil
45
ref
1204
ref
cons
nil
cons
nil
cons
cons
1206
def
50
ref
subst
1169
ref
assume
eqMp
appThm
1058
ref
trans
sym
49
ref
eqMp
nil
78
ref
1170
remove
nil
cons
cons
79
ref
1172
remove
nil
cons
1207
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
1173
ref
53
ref
appTerm
1208
def
betaConv
nil
1183
remove
79
ref
1208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
1173
remove
nil
cons
cons
150
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
nil
78
ref
1207
remove
cons
1201
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
59
ref
1171
remove
nil
cons
cons
51
ref
1175
ref
nil
cons
1209
def
cons
545
ref
cons
cons
nil
cons
cons
1210
def
678
remove
subst
eqMp
eqMp
nil
116
ref
1204
ref
cons
117
ref
1200
ref
cons
nil
cons
1211
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
1197
ref
nil
cons
1212
def
cons
1201
ref
cons
nil
cons
cons
1213
def
97
ref
subst
1213
remove
146
ref
subst
544
ref
1197
remove
assume
appThm
1175
ref
refl
appThm
nil
6
ref
1209
remove
cons
nil
cons
nil
cons
cons
219
ref
subst
trans
sym
49
ref
eqMp
nil
78
ref
693
ref
1175
ref
appTerm
nil
cons
cons
1201
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
1210
remove
679
remove
subst
eqMp
eqMp
nil
116
ref
1212
remove
cons
1214
def
1211
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1214
remove
117
ref
1204
ref
cons
829
ref
1200
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
1199
remove
cons
1211
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
116
ref
1182
remove
cons
117
ref
1184
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
78
ref
86
ref
1168
remove
appTerm
1181
remove
appTerm
nil
cons
cons
79
ref
73
ref
6
ref
1174
remove
absTerm
1215
def
appTerm
1216
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
748
ref
1215
ref
12
ref
appTerm
betaConv
appThm
549
ref
6
ref
327
ref
1215
ref
10
ref
appTerm
betaConv
1217
def
appThm
1215
ref
1175
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
549
ref
6
ref
1217
remove
absThm
appThm
appThm
nil
563
ref
1215
remove
nil
cons
cons
nil
cons
nil
cons
cons
563
ref
80
ref
86
ref
563
ref
varTerm
1218
def
12
ref
appTerm
appTerm
73
ref
154
ref
80
ref
1218
ref
158
ref
appTerm
1219
def
appTerm
1218
ref
299
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
73
ref
154
ref
1219
ref
absTerm
appTerm
1220
def
appTerm
absTerm
1221
def
1218
ref
appTerm
1222
def
betaConv
nil
24
ref
0
ref
57
ref
3
ref
cons
opType
constTerm
1223
def
1221
ref
appTerm
1224
def
axiom
nil
78
ref
1224
remove
nil
cons
cons
79
ref
1222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
"A"
7
remove
cons
nil
cons
1225
def
"P"
57
remove
var
1226
def
1221
remove
nil
cons
cons
"x"
4
ref
var
1218
ref
nil
cons
cons
nil
cons
1227
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1228
def
subst
eqMp
eqMp
nil
1216
remove
thm
nil
5
ref
6
ref
73
ref
51
ref
402
ref
366
remove
appTerm
1229
def
absTerm
1230
def
appTerm
1231
def
absTerm
1232
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1231
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1230
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1229
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
533
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1232
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
735
remove
601
ref
appTerm
1233
def
appTerm
11
ref
491
ref
53
ref
appTerm
1234
def
64
ref
appTerm
1235
def
appTerm
appTerm
1236
def
absTerm
1237
def
appTerm
1238
def
absTerm
1239
def
appTerm
1240
def
absTerm
1241
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1240
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1239
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1238
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1237
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1236
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
749
remove
610
ref
appThm
1242
def
appThm
nil
51
ref
1235
ref
nil
cons
cons
nil
cons
nil
cons
cons
151
ref
subst
appThm
sym
nil
78
ref
750
remove
618
ref
appTerm
1243
def
nil
cons
1244
def
cons
79
ref
58
ref
611
ref
615
ref
1235
remove
appTerm
absTerm
appTerm
1245
def
nil
cons
1246
def
cons
nil
cons
1247
def
cons
nil
cons
cons
1248
def
97
ref
subst
1248
remove
146
ref
subst
nil
757
remove
1027
remove
cons
nil
cons
cons
1249
def
131
ref
subst
1250
def
1249
remove
339
ref
subst
1251
def
nil
380
ref
1247
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
611
ref
971
ref
1245
ref
appTerm
1252
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
1252
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
974
ref
1247
ref
cons
nil
cons
cons
1253
def
97
ref
subst
1253
remove
146
ref
subst
976
ref
nil
979
ref
1247
ref
cons
nil
cons
cons
1254
def
137
ref
subst
proveHyp
1254
ref
97
ref
subst
1254
remove
146
ref
subst
nil
78
ref
966
ref
cons
1255
def
1247
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
981
ref
80
ref
617
remove
982
ref
appTerm
1256
def
appTerm
1257
def
1245
ref
appTerm
1258
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
981
ref
nil
45
ref
1258
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1256
ref
nil
cons
1259
def
cons
1260
def
1247
ref
cons
nil
cons
cons
1261
def
97
ref
subst
1261
remove
146
ref
subst
1256
ref
betaConv
1256
remove
assume
eqMp
1262
def
nil
78
ref
60
ref
987
remove
10
ref
appTerm
1263
def
appTerm
64
ref
appTerm
1264
def
nil
cons
1265
def
cons
1266
def
1247
remove
cons
nil
cons
cons
1267
def
137
ref
subst
proveHyp
1267
ref
97
ref
subst
1267
remove
146
ref
subst
23
ref
"_29253"
1
ref
var
1268
def
58
ref
611
ref
615
ref
1234
ref
1268
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1269
def
64
ref
appTerm
1270
def
appTerm
refl
1269
ref
1263
ref
appTerm
betaConv
appThm
119
ref
1270
remove
betaConv
appThm
58
ref
611
ref
615
ref
1234
ref
1263
ref
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
1269
remove
refl
1264
remove
assume
sym
1271
def
appThm
eqMp
sym
23
ref
"_29257"
1
ref
var
1272
def
58
ref
611
ref
615
ref
491
ref
1272
remove
varTerm
appTerm
1263
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1273
def
53
ref
appTerm
1274
def
appTerm
refl
1273
ref
614
ref
appTerm
betaConv
appThm
119
ref
1274
remove
betaConv
appThm
58
ref
999
ref
1000
ref
491
ref
614
ref
appTerm
1263
ref
appTerm
appTerm
absTerm
1275
def
appTerm
refl
appThm
trans
1273
remove
refl
1003
ref
appThm
eqMp
sym
1275
ref
491
ref
612
ref
appTerm
982
ref
appTerm
1276
def
appTerm
betaConv
sym
nil
642
ref
154
ref
1005
ref
cons
1277
def
728
ref
cons
cons
nil
cons
cons
1278
def
641
ref
60
ref
63
ref
511
ref
appTerm
645
ref
appTerm
appTerm
491
ref
872
ref
appTerm
647
ref
appTerm
appTerm
absTerm
1279
def
645
ref
appTerm
1280
def
betaConv
154
ref
73
ref
1279
ref
appTerm
1281
def
absTerm
1282
def
158
ref
appTerm
1283
def
betaConv
203
ref
73
ref
1282
ref
appTerm
1284
def
absTerm
1285
def
207
ref
appTerm
1286
def
betaConv
nil
73
ref
1285
ref
appTerm
1287
def
axiom
nil
78
ref
1287
remove
nil
cons
cons
79
ref
1286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1285
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1284
remove
nil
cons
cons
79
ref
1283
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1282
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1281
remove
nil
cons
cons
79
ref
1280
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1279
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
16
ref
5
ref
1275
remove
nil
cons
cons
138
ref
1276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
116
ref
1265
remove
cons
1288
def
117
ref
1246
remove
cons
nil
cons
1289
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
1259
remove
cons
1290
def
1289
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
674
ref
1245
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
619
ref
1245
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
675
ref
1289
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
1028
ref
1289
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1029
ref
1289
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
452
ref
1245
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
453
ref
1245
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
455
ref
1289
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
1244
ref
cons
1289
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
1291
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1241
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
80
ref
86
ref
1097
ref
appTerm
1292
def
1098
ref
appTerm
1293
def
appTerm
1294
def
1096
ref
"Number.Natural.distance"
const
62
ref
constTerm
1295
def
10
ref
appTerm
53
ref
appTerm
appTerm
1296
def
appTerm
1297
def
absTerm
1298
def
appTerm
1299
def
absTerm
1300
def
appTerm
1301
def
absTerm
1302
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1301
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1300
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1299
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1298
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1297
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1293
ref
nil
cons
1303
def
cons
1304
def
79
ref
1296
remove
nil
cons
1305
def
cons
nil
cons
cons
nil
cons
cons
1306
def
97
ref
subst
1306
remove
146
ref
subst
1130
ref
1129
remove
339
ref
subst
1307
def
1096
ref
refl
1308
def
690
remove
154
ref
60
ref
1295
remove
207
ref
appTerm
158
ref
appTerm
appTerm
"Data.Bool.cond"
const
1309
def
0
ref
2
ref
62
ref
nil
cons
cons
opType
constTerm
1310
def
874
ref
appTerm
"Number.Natural.-"
const
62
remove
constTerm
1311
def
158
ref
appTerm
1312
def
207
ref
appTerm
appTerm
1311
ref
207
ref
appTerm
158
ref
appTerm
1313
def
appTerm
appTerm
absTerm
1314
def
158
ref
appTerm
1315
def
betaConv
203
ref
73
ref
1314
ref
appTerm
1316
def
absTerm
1317
def
207
ref
appTerm
1318
def
betaConv
nil
73
ref
1317
ref
appTerm
1319
def
axiom
nil
78
ref
1319
remove
nil
cons
cons
79
ref
1318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1317
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1316
remove
nil
cons
cons
79
ref
1315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1314
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
sym
119
ref
"_29273"
1
ref
var
1320
def
1096
ref
1320
remove
varTerm
appTerm
absTerm
1321
def
1310
remove
848
ref
appTerm
1311
ref
53
ref
appTerm
1322
def
10
ref
appTerm
1323
def
appTerm
1311
ref
10
ref
appTerm
53
ref
appTerm
1324
def
appTerm
appTerm
betaConv
appThm
748
ref
80
ref
848
ref
appTerm
1325
def
refl
1321
ref
1323
ref
appTerm
betaConv
appThm
appThm
80
ref
282
ref
848
ref
appTerm
1326
def
appTerm
1327
def
refl
1321
ref
1324
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
1
ref
var
1324
ref
nil
cons
cons
"_482"
1
ref
var
1323
ref
nil
cons
cons
"_483"
2
ref
var
1328
def
857
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
4
remove
var
1321
remove
nil
cons
cons
nil
cons
nil
cons
cons
18
ref
nil
34
ref
"_482"
25
ref
var
varTerm
nil
cons
cons
"c"
2
ref
var
1329
def
1328
remove
varTerm
nil
cons
cons
32
ref
"_484"
26
ref
var
varTerm
nil
cons
cons
256
ref
"_485"
25
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
256
remove
23
ref
33
ref
1309
ref
0
ref
2
ref
0
ref
25
ref
0
ref
25
ref
187
remove
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
1330
def
1329
ref
varTerm
1331
def
appTerm
142
ref
appTerm
260
ref
appTerm
appTerm
appTerm
86
ref
80
ref
1331
ref
appTerm
169
ref
appTerm
appTerm
80
ref
282
ref
1331
ref
appTerm
appTerm
33
ref
260
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1332
def
260
remove
appTerm
1333
def
betaConv
34
ref
28
ref
1332
ref
appTerm
1334
def
absTerm
1335
def
142
ref
appTerm
1336
def
betaConv
1329
remove
28
ref
1335
ref
appTerm
1337
def
absTerm
1338
def
1331
ref
appTerm
1339
def
betaConv
32
ref
168
ref
1338
ref
appTerm
1340
def
absTerm
1341
def
33
ref
appTerm
1342
def
betaConv
nil
571
ref
1341
ref
appTerm
1343
def
axiom
nil
78
ref
1343
remove
nil
cons
cons
79
ref
1342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
1341
remove
nil
cons
cons
576
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1340
remove
nil
cons
cons
79
ref
1339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1338
remove
nil
cons
cons
252
ref
1331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1337
remove
nil
cons
cons
79
ref
1336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1335
remove
nil
cons
cons
191
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1334
remove
nil
cons
cons
79
ref
1333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1332
remove
nil
cons
cons
269
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
subst
subst
eqMp
sym
nil
78
ref
857
ref
cons
79
ref
1096
ref
1323
remove
appTerm
1344
def
nil
cons
1345
def
cons
nil
cons
1346
def
cons
nil
cons
cons
1347
def
97
ref
subst
1347
remove
146
ref
subst
748
ref
nil
45
ref
857
ref
cons
nil
cons
nil
cons
cons
50
ref
subst
848
ref
assume
eqMp
appThm
748
ref
nil
45
ref
1117
remove
cons
nil
cons
nil
cons
cons
1348
def
50
ref
subst
1098
ref
assume
eqMp
1349
def
appThm
1125
ref
appThm
1058
ref
trans
1350
def
appThm
1058
ref
trans
sym
49
ref
eqMp
nil
78
ref
86
ref
848
ref
appTerm
86
ref
1098
ref
appTerm
1351
def
1097
ref
appTerm
1352
def
appTerm
nil
cons
cons
1346
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
1109
ref
1127
ref
cons
nil
cons
cons
nil
362
ref
79
ref
80
ref
86
ref
846
ref
64
ref
appTerm
53
ref
appTerm
1353
def
appTerm
1354
def
1233
remove
appTerm
appTerm
11
ref
1322
ref
64
ref
appTerm
1355
def
appTerm
appTerm
1356
def
nil
cons
1357
def
cons
nil
cons
1358
def
cons
nil
cons
cons
1359
def
97
ref
subst
1359
remove
146
ref
subst
327
ref
1354
ref
refl
1360
def
1242
remove
appThm
appThm
nil
51
ref
1355
ref
nil
cons
1361
def
cons
nil
cons
nil
cons
cons
151
ref
subst
appThm
sym
nil
78
ref
1354
ref
1243
remove
appTerm
nil
cons
1362
def
cons
79
ref
58
ref
611
ref
615
ref
1355
ref
appTerm
absTerm
appTerm
1363
def
nil
cons
1364
def
cons
nil
cons
1365
def
cons
nil
cons
cons
1366
def
97
ref
subst
1366
remove
146
ref
subst
nil
116
ref
1353
ref
nil
cons
cons
1367
def
117
ref
1244
remove
cons
nil
cons
cons
nil
cons
cons
1368
def
131
ref
subst
1368
remove
339
ref
subst
1250
remove
1251
remove
nil
380
remove
1365
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
611
ref
971
remove
1363
ref
appTerm
1369
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
ref
nil
45
ref
1369
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
974
remove
1365
ref
cons
nil
cons
cons
1370
def
97
ref
subst
1370
remove
146
ref
subst
976
remove
nil
979
remove
1365
ref
cons
nil
cons
cons
1371
def
137
ref
subst
proveHyp
1371
ref
97
ref
subst
1371
remove
146
ref
subst
nil
1255
ref
1365
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
981
ref
1257
remove
1363
ref
appTerm
1372
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
981
ref
nil
45
ref
1372
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
1260
remove
1365
ref
cons
nil
cons
cons
1373
def
97
ref
subst
1373
remove
146
ref
subst
1262
remove
nil
1266
remove
1365
remove
cons
nil
cons
cons
1374
def
137
ref
subst
proveHyp
1374
ref
97
ref
subst
1374
remove
146
ref
subst
23
ref
"_29259"
1
ref
var
1375
def
58
ref
611
ref
615
ref
1322
ref
1375
remove
varTerm
appTerm
appTerm
absTerm
appTerm
absTerm
1376
def
64
ref
appTerm
1377
def
appTerm
refl
1376
ref
1263
ref
appTerm
betaConv
appThm
119
ref
1377
remove
betaConv
appThm
58
ref
611
ref
615
ref
1322
remove
1263
ref
appTerm
appTerm
absTerm
appTerm
refl
appThm
trans
1376
remove
refl
1271
ref
appThm
eqMp
sym
23
ref
"_29267"
1
ref
var
1378
def
58
ref
611
ref
615
remove
1311
ref
1378
remove
varTerm
appTerm
1263
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1379
def
53
ref
appTerm
1380
def
appTerm
refl
1379
ref
614
ref
appTerm
betaConv
appThm
119
ref
1380
remove
betaConv
appThm
58
ref
999
remove
1000
remove
1311
ref
614
ref
appTerm
1263
ref
appTerm
1381
def
appTerm
absTerm
1382
def
appTerm
1383
def
refl
1384
def
appThm
trans
1379
remove
refl
1003
ref
appThm
eqMp
sym
23
ref
"_29271"
1
ref
var
1385
def
846
ref
1263
ref
appTerm
1386
def
1385
remove
varTerm
appTerm
absTerm
1387
def
53
ref
appTerm
1388
def
appTerm
refl
1387
ref
614
ref
appTerm
betaConv
appThm
119
ref
1388
remove
betaConv
appThm
1386
ref
614
ref
appTerm
1389
def
refl
appThm
trans
1387
remove
refl
1003
remove
appThm
eqMp
23
ref
"_29263"
1
ref
var
1390
def
846
ref
1390
remove
varTerm
appTerm
53
ref
appTerm
absTerm
1391
def
64
ref
appTerm
1392
def
appTerm
refl
1391
ref
1263
remove
appTerm
betaConv
appThm
119
ref
1392
remove
betaConv
appThm
1386
remove
53
ref
appTerm
refl
appThm
trans
1391
remove
refl
1271
remove
appThm
eqMp
1353
remove
assume
eqMp
eqMp
nil
78
ref
1389
remove
nil
cons
cons
79
ref
1383
remove
nil
cons
1393
def
cons
nil
cons
1394
def
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
nil
644
remove
642
ref
1006
ref
cons
cons
nil
cons
cons
886
remove
subst
784
ref
846
ref
982
ref
appTerm
612
ref
appTerm
1395
def
appTerm
refl
420
ref
appThm
nil
45
ref
1395
remove
nil
cons
1396
def
cons
nil
cons
nil
cons
cons
45
ref
23
ref
820
remove
318
ref
appTerm
appTerm
46
ref
appTerm
absTerm
1397
def
46
ref
appTerm
1398
def
betaConv
nil
168
ref
1397
ref
appTerm
1399
def
axiom
nil
78
ref
1399
remove
nil
cons
cons
79
ref
1398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1397
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1400
def
subst
trans
trans
appThm
1384
remove
appThm
sym
nil
78
ref
1396
ref
cons
1401
def
1394
remove
cons
nil
cons
cons
1402
def
97
ref
subst
1402
remove
146
ref
subst
1382
ref
1311
ref
612
remove
appTerm
982
ref
appTerm
1403
def
appTerm
betaConv
sym
nil
1401
remove
79
ref
60
ref
63
ref
1403
ref
appTerm
10
ref
appTerm
appTerm
1381
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
1278
ref
641
ref
80
ref
846
ref
158
ref
appTerm
1404
def
207
ref
appTerm
1405
def
appTerm
60
ref
63
ref
1313
remove
appTerm
645
ref
appTerm
appTerm
1311
ref
872
ref
appTerm
647
ref
appTerm
appTerm
appTerm
absTerm
1406
def
645
ref
appTerm
1407
def
betaConv
154
ref
73
ref
1406
ref
appTerm
1408
def
absTerm
1409
def
158
ref
appTerm
1410
def
betaConv
203
ref
73
ref
1409
ref
appTerm
1411
def
absTerm
1412
def
207
ref
appTerm
1413
def
betaConv
nil
73
ref
1412
ref
appTerm
1414
def
axiom
nil
78
ref
1414
remove
nil
cons
cons
79
ref
1413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1412
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1411
remove
nil
cons
cons
79
ref
1410
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1409
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1408
remove
nil
cons
cons
79
ref
1407
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1406
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
16
ref
5
ref
1382
remove
nil
cons
cons
138
ref
1403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
nil
116
ref
1396
remove
cons
117
ref
1393
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1288
remove
117
ref
1364
remove
cons
nil
cons
1415
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1290
remove
1415
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
674
ref
1363
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
619
ref
1363
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
675
ref
1415
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
1028
remove
1415
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1029
remove
1415
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
452
remove
1363
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
453
remove
1363
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
455
remove
1415
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
1362
remove
cons
1415
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
477
ref
117
ref
1357
ref
cons
nil
cons
1416
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
418
ref
cons
1417
def
1358
remove
cons
nil
cons
cons
1418
def
97
ref
subst
1418
remove
146
ref
subst
327
ref
1360
remove
748
ref
544
ref
238
ref
assume
1419
def
appThm
1420
def
507
ref
appThm
546
ref
270
ref
subst
trans
1421
def
appThm
1420
ref
446
remove
appThm
nil
1127
ref
nil
cons
cons
1422
def
270
ref
subst
trans
appThm
appThm
appThm
1420
ref
1355
ref
refl
appThm
nil
6
ref
1361
remove
cons
nil
cons
nil
cons
cons
270
ref
subst
trans
appThm
sym
nil
78
ref
1354
remove
86
ref
742
ref
appTerm
906
ref
appTerm
1423
def
appTerm
nil
cons
1424
def
cons
79
ref
60
ref
1355
remove
appTerm
12
ref
appTerm
nil
cons
1425
def
cons
nil
cons
cons
nil
cons
cons
1426
def
97
ref
subst
1426
remove
146
ref
subst
nil
1367
remove
117
ref
1423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
339
ref
subst
nil
795
remove
117
ref
907
remove
cons
nil
cons
cons
nil
cons
cons
1427
def
131
ref
subst
1427
remove
339
ref
subst
1311
ref
refl
812
remove
appThm
906
remove
assume
appThm
285
ref
154
ref
60
ref
1312
remove
158
ref
appTerm
appTerm
12
ref
appTerm
absTerm
1428
def
158
ref
appTerm
1429
def
betaConv
nil
73
ref
1428
ref
appTerm
1430
def
axiom
nil
78
ref
1430
remove
nil
cons
cons
79
ref
1429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1428
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
1424
remove
cons
117
ref
1425
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
419
ref
1416
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
822
ref
238
ref
appTerm
1431
def
betaConv
825
ref
nil
826
ref
79
ref
1431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
827
ref
252
ref
418
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1432
def
nil
419
ref
925
ref
829
ref
1357
ref
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
1433
def
subst
eqMp
eqMp
nil
116
ref
857
remove
cons
1434
def
117
ref
1345
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
1325
remove
1344
remove
appTerm
nil
cons
cons
79
ref
1327
remove
1096
ref
1324
remove
appTerm
1435
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
78
ref
1326
remove
nil
cons
1436
def
cons
1437
def
79
ref
1435
remove
nil
cons
1438
def
cons
nil
cons
1439
def
cons
nil
cons
cons
1440
def
97
ref
subst
1440
remove
146
ref
subst
86
ref
1169
remove
appTerm
1441
def
refl
1126
remove
1349
remove
appThm
1058
ref
trans
appThm
1206
remove
45
ref
23
ref
86
ref
46
ref
appTerm
1442
def
35
ref
appTerm
appTerm
46
ref
appTerm
absTerm
1443
def
46
ref
appTerm
1444
def
betaConv
nil
168
ref
1443
ref
appTerm
1445
def
axiom
nil
78
ref
1445
remove
nil
cons
cons
79
ref
1444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1443
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1446
def
subst
trans
sym
nil
433
remove
689
ref
nil
cons
cons
nil
cons
cons
154
ref
23
ref
927
ref
158
ref
appTerm
1447
def
207
ref
appTerm
1448
def
appTerm
282
ref
874
ref
appTerm
1449
def
appTerm
1450
def
absTerm
1451
def
158
ref
appTerm
1452
def
betaConv
203
ref
73
ref
1451
ref
appTerm
1453
def
absTerm
1454
def
207
ref
appTerm
1455
def
betaConv
549
ref
203
ref
549
ref
154
ref
1450
remove
assume
sym
23
ref
1449
ref
appTerm
1448
ref
appTerm
1456
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
73
ref
203
ref
73
ref
154
ref
1456
remove
absTerm
1457
def
appTerm
1458
def
absTerm
1459
def
appTerm
1460
def
axiom
1461
def
eqMp
nil
78
ref
73
ref
1454
ref
appTerm
nil
cons
cons
79
ref
1455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1454
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1453
remove
nil
cons
cons
79
ref
1452
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1451
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
283
ref
nil
1437
remove
79
ref
23
ref
848
remove
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
1434
remove
nil
cons
nil
cons
cons
350
ref
subst
eqMp
appThm
353
ref
trans
trans
sym
49
ref
eqMp
nil
78
ref
927
ref
53
ref
appTerm
10
ref
appTerm
1462
def
nil
cons
1463
def
cons
79
ref
1204
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
1186
ref
154
ref
80
ref
929
ref
appTerm
1464
def
874
ref
appTerm
absTerm
1465
def
158
ref
appTerm
1466
def
betaConv
203
ref
73
ref
1465
ref
appTerm
1467
def
absTerm
1468
def
207
ref
appTerm
1469
def
betaConv
nil
73
ref
1468
ref
appTerm
1470
def
axiom
nil
78
ref
1470
remove
nil
cons
cons
79
ref
1469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1468
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1467
remove
nil
cons
cons
79
ref
1466
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1465
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
78
ref
1441
remove
1293
remove
appTerm
nil
cons
cons
1439
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
599
remove
199
remove
1127
ref
cons
cons
nil
cons
cons
1433
ref
subst
eqMp
eqMp
nil
116
ref
1436
remove
cons
117
ref
1438
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
1303
remove
cons
1471
def
117
ref
1305
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1302
remove
appTerm
thm
nil
5
ref
6
ref
23
ref
11
ref
272
ref
appTerm
1472
def
appTerm
1473
def
784
ref
561
ref
appTerm
1474
def
237
ref
272
ref
appTerm
1475
def
appTerm
appTerm
1476
def
absTerm
1477
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1476
remove
nil
cons
1478
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
282
ref
561
ref
appTerm
nil
cons
1479
def
cons
1480
def
79
ref
1478
ref
cons
nil
cons
1481
def
cons
nil
cons
cons
1482
def
97
ref
subst
1482
remove
146
ref
subst
1473
ref
refl
1483
def
793
ref
nil
1480
ref
79
ref
23
ref
561
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
577
ref
cons
1484
def
nil
cons
nil
cons
cons
350
ref
subst
eqMp
1485
def
appThm
1486
def
1475
ref
refl
appThm
nil
45
ref
1475
ref
nil
cons
1487
def
cons
nil
cons
nil
cons
cons
804
ref
subst
trans
appThm
sym
nil
78
ref
282
ref
1475
ref
appTerm
1488
def
nil
cons
1489
def
cons
1490
def
79
ref
1473
remove
1475
ref
appTerm
nil
cons
1491
def
cons
nil
cons
1492
def
cons
nil
cons
cons
1493
def
97
ref
subst
1493
remove
146
ref
subst
1483
remove
nil
1490
ref
79
ref
23
ref
1475
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
1487
ref
cons
1494
def
nil
cons
nil
cons
cons
350
ref
subst
eqMp
1495
def
appThm
nil
45
ref
1472
ref
nil
cons
1496
def
cons
nil
cons
nil
cons
cons
1497
def
45
ref
23
ref
47
remove
318
ref
appTerm
1498
def
appTerm
821
ref
appTerm
absTerm
1499
def
46
ref
appTerm
1500
def
betaConv
nil
168
ref
1499
ref
appTerm
1501
def
axiom
nil
78
ref
1501
remove
nil
cons
cons
79
ref
1500
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1499
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1502
def
subst
trans
sym
nil
362
ref
79
ref
282
ref
1472
ref
appTerm
nil
cons
1503
def
cons
nil
cons
1504
def
cons
nil
cons
cons
1505
def
97
ref
subst
1505
remove
146
ref
subst
nil
116
ref
1496
ref
cons
1506
def
nil
cons
nil
cons
cons
342
remove
sym
subst
nil
78
ref
1496
remove
cons
326
ref
cons
nil
cons
cons
1507
def
97
ref
subst
1507
remove
146
ref
subst
850
ref
272
ref
appTerm
1508
def
betaConv
952
ref
nil
78
ref
853
remove
cons
1509
def
79
ref
1508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
854
ref
138
ref
358
ref
cons
nil
cons
1510
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
80
ref
86
ref
356
ref
appTerm
1511
def
1472
ref
appTerm
appTerm
847
ref
272
ref
appTerm
1512
def
appTerm
nil
cons
1513
def
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
45
ref
1513
remove
cons
nil
cons
nil
cons
cons
45
ref
23
ref
520
ref
318
ref
appTerm
appTerm
821
ref
appTerm
absTerm
1514
def
46
ref
appTerm
1515
def
betaConv
nil
168
ref
1514
ref
appTerm
1516
def
axiom
nil
78
ref
1516
remove
nil
cons
cons
79
ref
1515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1514
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1517
def
subst
283
ref
327
ref
1511
remove
refl
1497
remove
50
ref
subst
1472
remove
assume
eqMp
appThm
nil
45
ref
357
remove
cons
nil
cons
nil
cons
cons
1446
ref
subst
trans
appThm
1512
ref
refl
appThm
appThm
trans
sym
nil
362
ref
79
ref
282
ref
80
ref
356
remove
appTerm
1512
remove
appTerm
appTerm
1518
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
1490
ref
79
ref
402
ref
1518
remove
appTerm
1519
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
1480
ref
79
ref
80
ref
1488
remove
appTerm
1519
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
327
ref
283
ref
819
ref
298
ref
appThm
appThm
appThm
327
ref
283
ref
819
ref
306
ref
appThm
appThm
appThm
402
ref
refl
283
ref
327
ref
354
remove
appThm
847
ref
refl
1520
def
306
ref
appThm
nil
311
remove
434
ref
cons
nil
cons
cons
1193
ref
subst
784
ref
237
ref
287
ref
309
ref
appTerm
1521
def
appTerm
1522
def
appTerm
1523
def
refl
nil
284
remove
434
ref
cons
nil
cons
cons
1193
ref
subst
784
ref
237
ref
309
ref
appTerm
1524
def
appTerm
1525
def
refl
868
remove
1147
remove
subst
appThm
trans
appThm
trans
1526
def
trans
appThm
nil
45
ref
1523
ref
1525
remove
238
ref
appTerm
appTerm
1527
def
nil
cons
cons
nil
cons
nil
cons
cons
427
ref
subst
trans
appThm
appThm
appThm
appThm
sym
nil
78
ref
282
ref
1524
ref
appTerm
nil
cons
1528
def
cons
1529
def
79
ref
80
ref
282
ref
1522
ref
appTerm
1530
def
appTerm
1531
def
402
ref
282
ref
1527
remove
appTerm
appTerm
appTerm
nil
cons
1532
def
cons
nil
cons
cons
nil
cons
cons
1533
def
97
ref
subst
1533
remove
146
ref
subst
23
ref
"_29287"
2
ref
var
1534
def
1531
ref
402
ref
282
ref
1523
ref
784
ref
1534
remove
varTerm
appTerm
238
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1535
def
1524
ref
appTerm
1536
def
appTerm
refl
1535
ref
318
ref
appTerm
betaConv
appThm
119
ref
1536
remove
betaConv
appThm
1531
remove
402
ref
282
ref
1523
remove
800
ref
238
ref
appTerm
1537
def
appTerm
appTerm
appTerm
1538
def
appTerm
refl
appThm
trans
1535
remove
refl
nil
1529
remove
79
ref
23
ref
1524
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
1524
remove
nil
cons
cons
nil
cons
nil
cons
cons
350
ref
subst
eqMp
appThm
eqMp
sym
nil
78
ref
1530
remove
nil
cons
1539
def
cons
1540
def
79
ref
1538
remove
nil
cons
1541
def
cons
nil
cons
cons
nil
cons
cons
1542
def
97
ref
subst
1542
remove
146
ref
subst
23
ref
"_29289"
2
ref
var
1543
def
402
ref
282
ref
784
ref
1543
remove
varTerm
appTerm
1537
ref
appTerm
appTerm
appTerm
absTerm
1544
def
1522
ref
appTerm
1545
def
appTerm
refl
1544
ref
318
ref
appTerm
betaConv
appThm
119
ref
1545
remove
betaConv
appThm
402
remove
282
ref
800
ref
1537
remove
appTerm
appTerm
1546
def
appTerm
refl
appThm
trans
1544
remove
refl
nil
1540
remove
79
ref
23
ref
1522
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
1522
remove
nil
cons
cons
nil
cons
nil
cons
cons
350
ref
subst
eqMp
appThm
eqMp
sym
nil
362
ref
79
ref
1546
remove
nil
cons
1547
def
cons
nil
cons
cons
nil
cons
cons
1548
def
97
ref
subst
1548
remove
146
ref
subst
23
ref
"_29291"
2
ref
var
1549
def
282
ref
800
ref
800
ref
1549
remove
varTerm
appTerm
appTerm
appTerm
absTerm
1550
def
238
ref
appTerm
1551
def
appTerm
refl
1550
ref
318
ref
appTerm
betaConv
appThm
119
ref
1551
remove
betaConv
appThm
282
ref
800
ref
800
ref
318
ref
appTerm
1552
def
appTerm
appTerm
refl
appThm
trans
1550
remove
refl
420
ref
appThm
eqMp
sym
283
ref
nil
45
ref
1552
remove
nil
cons
cons
nil
cons
nil
cons
cons
804
ref
subst
nil
45
ref
325
ref
cons
nil
cons
nil
cons
cons
1553
def
804
ref
subst
1554
def
trans
appThm
353
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
477
ref
117
ref
1547
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
1539
remove
cons
117
ref
1541
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
1528
remove
cons
117
ref
1532
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1506
remove
117
ref
325
ref
cons
nil
cons
1555
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
477
ref
117
ref
1503
ref
cons
nil
cons
1556
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1417
ref
1504
remove
cons
nil
cons
cons
1557
def
97
ref
subst
1557
remove
146
ref
subst
283
ref
1420
ref
307
remove
294
ref
298
ref
appThm
appThm
nil
138
ref
1521
ref
nil
cons
1558
def
cons
nil
cons
nil
cons
cons
1160
ref
subst
trans
sym
49
ref
eqMp
1559
def
appThm
nil
6
ref
287
ref
202
ref
appTerm
1560
def
nil
cons
cons
nil
cons
nil
cons
cons
270
ref
subst
nil
154
ref
216
remove
cons
nil
cons
nil
cons
cons
1561
def
351
ref
subst
trans
trans
appThm
353
ref
trans
sym
49
ref
eqMp
eqMp
nil
419
ref
1556
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1432
ref
nil
419
ref
925
ref
829
ref
1503
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
116
ref
1489
ref
cons
1562
def
117
ref
1491
ref
cons
nil
cons
1563
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
1487
ref
cons
1564
def
1492
remove
cons
nil
cons
cons
1565
def
97
ref
subst
1565
remove
146
ref
subst
119
ref
544
ref
1475
ref
assume
1566
def
appThm
1567
def
nil
154
ref
358
ref
cons
nil
cons
nil
cons
cons
1568
def
158
ref
refl
1569
def
subst
1570
def
appThm
nil
359
remove
nil
cons
cons
1571
def
219
ref
subst
trans
appThm
224
ref
1566
remove
appThm
1570
ref
appThm
nil
1510
remove
nil
cons
cons
1160
ref
subst
trans
appThm
581
ref
45
ref
23
ref
23
ref
35
ref
appTerm
1572
def
46
ref
appTerm
appTerm
46
ref
appTerm
absTerm
1573
def
46
ref
appTerm
1574
def
betaConv
nil
168
ref
1573
ref
appTerm
1575
def
axiom
nil
78
ref
1575
remove
nil
cons
cons
79
ref
1574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1573
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1576
def
subst
1577
def
trans
sym
49
ref
eqMp
eqMp
nil
1494
ref
1563
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
822
ref
1475
remove
appTerm
1578
def
betaConv
825
ref
nil
826
ref
79
ref
1578
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
827
ref
252
ref
1487
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1579
def
nil
1494
ref
117
ref
1489
remove
cons
1580
def
829
ref
1491
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
116
ref
1479
ref
cons
1581
def
117
ref
1478
ref
cons
nil
cons
1582
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
577
remove
cons
1583
def
1481
remove
cons
nil
cons
cons
1584
def
97
ref
subst
1584
remove
146
ref
subst
119
ref
544
ref
561
ref
assume
1585
def
appThm
1586
def
1570
ref
appThm
1571
remove
235
ref
subst
trans
appThm
793
ref
224
ref
1585
remove
appThm
1587
def
1561
ref
1569
ref
subst
appThm
nil
217
remove
nil
cons
cons
1160
ref
subst
trans
appThm
1588
def
1587
ref
1570
remove
appThm
appThm
nil
45
ref
60
ref
202
ref
appTerm
1589
def
272
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
45
ref
23
ref
784
ref
35
ref
appTerm
1590
def
46
ref
appTerm
appTerm
35
ref
appTerm
absTerm
1591
def
46
ref
appTerm
1592
def
betaConv
nil
168
ref
1591
ref
appTerm
1593
def
axiom
nil
78
ref
1593
remove
nil
cons
cons
79
ref
1592
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1591
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1594
def
subst
trans
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
nil
1484
ref
1582
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
822
ref
561
remove
appTerm
1595
def
betaConv
825
ref
nil
826
ref
79
ref
1595
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
827
ref
578
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1596
def
nil
1484
ref
117
ref
1479
remove
cons
1597
def
829
ref
1478
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
73
ref
1477
remove
appTerm
thm
nil
5
ref
6
ref
23
ref
11
remove
201
remove
202
ref
appTerm
1598
def
appTerm
1599
def
appTerm
1600
def
1474
remove
237
ref
1598
ref
appTerm
1601
def
appTerm
appTerm
1602
def
absTerm
1603
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1602
remove
nil
cons
1604
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
1480
remove
79
ref
1604
ref
cons
nil
cons
1605
def
cons
nil
cons
cons
1606
def
97
ref
subst
1606
remove
146
ref
subst
1600
ref
refl
1607
def
1486
remove
1601
ref
refl
appThm
nil
45
ref
1601
ref
nil
cons
1608
def
cons
nil
cons
nil
cons
cons
804
ref
subst
trans
appThm
sym
nil
78
ref
282
ref
1601
ref
appTerm
nil
cons
1609
def
cons
1610
def
79
ref
1600
ref
1601
ref
appTerm
nil
cons
1611
def
cons
nil
cons
1612
def
cons
nil
cons
cons
1613
def
97
ref
subst
1613
remove
146
ref
subst
1607
remove
nil
1610
remove
79
ref
23
ref
1601
ref
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
1608
ref
cons
1614
def
nil
cons
nil
cons
cons
350
ref
subst
eqMp
1615
def
appThm
nil
45
ref
1599
ref
nil
cons
1616
def
cons
nil
cons
nil
cons
cons
1502
ref
subst
trans
sym
nil
1490
remove
79
ref
282
ref
1599
ref
appTerm
1617
def
nil
cons
1618
def
cons
nil
cons
1619
def
cons
nil
cons
cons
1620
def
97
ref
subst
1620
remove
146
ref
subst
nil
362
ref
1619
ref
cons
nil
cons
cons
1621
def
97
ref
subst
1621
remove
146
ref
subst
850
remove
1598
ref
appTerm
1622
def
betaConv
952
remove
nil
1509
remove
79
ref
1622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
854
remove
138
ref
1598
ref
nil
cons
1623
def
cons
nil
cons
1624
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
80
ref
86
ref
282
ref
60
ref
1598
ref
appTerm
12
ref
appTerm
appTerm
1625
def
appTerm
1626
def
1599
ref
appTerm
appTerm
847
ref
1598
ref
appTerm
1627
def
appTerm
1628
def
nil
cons
cons
1619
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
78
ref
1600
ref
318
ref
appTerm
1629
def
nil
cons
1630
def
cons
79
ref
80
ref
1628
remove
appTerm
1617
remove
appTerm
nil
cons
1631
def
cons
nil
cons
1632
def
cons
nil
cons
cons
1633
def
97
ref
subst
1633
remove
146
ref
subst
23
ref
"_29295"
2
ref
var
1634
def
80
ref
80
ref
1626
ref
1634
remove
varTerm
1635
def
appTerm
appTerm
1627
ref
appTerm
appTerm
282
ref
1635
remove
appTerm
appTerm
absTerm
1636
def
1599
ref
appTerm
1637
def
appTerm
refl
1638
def
1636
ref
318
ref
appTerm
betaConv
appThm
119
ref
1637
remove
betaConv
appThm
1639
def
80
ref
80
ref
1626
ref
318
ref
appTerm
appTerm
1627
ref
appTerm
appTerm
352
ref
appTerm
refl
appThm
trans
1636
remove
refl
1640
def
1629
remove
assume
appThm
eqMp
sym
327
ref
327
ref
nil
45
ref
1625
ref
nil
cons
1641
def
cons
nil
cons
nil
cons
cons
1642
def
45
ref
23
ref
1442
remove
318
ref
appTerm
appTerm
318
ref
appTerm
absTerm
1643
def
46
ref
appTerm
1644
def
betaConv
nil
168
ref
1643
ref
appTerm
1645
def
axiom
nil
78
ref
1645
remove
nil
cons
cons
79
ref
1644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1643
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
1627
ref
refl
1646
def
appThm
nil
45
ref
1627
ref
nil
cons
1647
def
cons
nil
cons
nil
cons
cons
1167
ref
subst
trans
appThm
353
ref
appThm
581
ref
427
ref
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
1630
ref
cons
117
ref
1631
ref
cons
nil
cons
1648
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
1600
remove
35
ref
appTerm
1649
def
nil
cons
1650
def
cons
1632
remove
cons
nil
cons
cons
1651
def
97
ref
subst
1651
remove
146
ref
subst
1638
remove
"_29293"
2
ref
var
1652
def
80
ref
80
ref
1626
ref
1652
remove
varTerm
1653
def
appTerm
appTerm
1627
ref
appTerm
appTerm
282
ref
1653
remove
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
1639
remove
80
ref
80
ref
1626
remove
35
ref
appTerm
appTerm
1627
ref
appTerm
appTerm
1162
ref
appTerm
refl
appThm
trans
1640
remove
1649
remove
assume
appThm
eqMp
sym
327
ref
327
ref
1642
remove
1446
remove
subst
appThm
1646
remove
appThm
appThm
1163
ref
appThm
nil
45
ref
80
ref
1625
remove
appTerm
1627
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1517
ref
subst
nil
904
ref
1647
remove
cons
905
ref
1641
remove
cons
nil
cons
cons
nil
cons
cons
904
ref
23
ref
282
ref
80
ref
908
ref
appTerm
909
ref
appTerm
appTerm
appTerm
86
ref
908
ref
appTerm
1654
def
912
ref
appTerm
appTerm
absTerm
1655
def
909
ref
appTerm
1656
def
betaConv
905
ref
168
ref
1655
ref
appTerm
1657
def
absTerm
1658
def
908
ref
appTerm
1659
def
betaConv
nil
168
ref
1658
ref
appTerm
1660
def
axiom
nil
78
ref
1660
remove
nil
cons
cons
79
ref
1659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1658
remove
nil
cons
cons
919
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1657
remove
nil
cons
cons
79
ref
1656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1655
remove
nil
cons
cons
920
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
trans
sym
748
ref
283
ref
294
ref
1561
ref
nil
203
ref
288
ref
nil
cons
cons
nil
cons
nil
cons
cons
530
remove
subst
subst
appThm
1561
ref
154
ref
60
ref
289
remove
appTerm
286
ref
appTerm
absTerm
1661
def
158
ref
appTerm
1662
def
betaConv
748
ref
549
ref
154
ref
nil
138
ref
299
ref
nil
cons
1663
def
cons
nil
cons
nil
cons
cons
1160
ref
subst
absThm
appThm
586
ref
trans
appThm
748
ref
60
ref
309
ref
appTerm
1664
def
refl
298
ref
appThm
nil
138
ref
310
remove
cons
nil
cons
nil
cons
cons
1160
ref
subst
trans
appThm
748
ref
549
ref
154
ref
224
ref
294
ref
154
ref
60
ref
288
remove
appTerm
491
ref
158
ref
appTerm
1665
def
158
ref
appTerm
1666
def
appTerm
1667
def
absTerm
1668
def
158
ref
appTerm
1669
def
betaConv
1670
def
224
ref
296
remove
appThm
285
remove
154
ref
60
ref
491
ref
12
ref
appTerm
1671
def
158
ref
appTerm
appTerm
158
ref
appTerm
absTerm
1672
def
158
ref
appTerm
1673
def
betaConv
nil
73
ref
1672
ref
appTerm
1674
def
axiom
nil
78
ref
1674
remove
nil
cons
cons
79
ref
1673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1672
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
1161
ref
trans
sym
49
ref
eqMp
nil
78
ref
295
remove
1671
remove
12
ref
appTerm
appTerm
1675
def
nil
cons
cons
79
ref
73
ref
154
ref
80
ref
1667
ref
appTerm
301
remove
491
ref
299
ref
appTerm
299
ref
appTerm
appTerm
1676
def
appTerm
1677
def
absTerm
1678
def
appTerm
1679
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
5
ref
1678
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
154
ref
nil
45
ref
1677
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
1667
ref
nil
cons
1680
def
cons
79
ref
1676
remove
nil
cons
1681
def
cons
nil
cons
cons
nil
cons
cons
1682
def
97
ref
subst
1682
remove
146
ref
subst
224
ref
305
remove
294
ref
294
ref
1667
remove
assume
appThm
appThm
trans
appThm
nil
154
ref
1663
remove
cons
1683
def
205
ref
cons
nil
cons
cons
154
ref
60
ref
491
ref
926
remove
appTerm
158
ref
appTerm
appTerm
287
ref
511
ref
appTerm
1684
def
appTerm
absTerm
1685
def
158
ref
appTerm
1686
def
betaConv
203
ref
73
ref
1685
ref
appTerm
1687
def
absTerm
1688
def
207
ref
appTerm
1689
def
betaConv
nil
73
ref
1688
ref
appTerm
1690
def
axiom
nil
78
ref
1690
remove
nil
cons
cons
79
ref
1689
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1688
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1687
remove
nil
cons
cons
79
ref
1686
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1685
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1691
def
subst
1692
def
294
ref
206
ref
154
ref
60
ref
510
ref
299
ref
appTerm
appTerm
1684
remove
appTerm
absTerm
1693
def
158
ref
appTerm
1694
def
betaConv
203
ref
73
ref
1693
ref
appTerm
1695
def
absTerm
1696
def
207
ref
appTerm
1697
def
betaConv
nil
73
ref
1696
ref
appTerm
1698
def
axiom
nil
78
ref
1698
remove
nil
cons
cons
79
ref
1697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1696
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1695
remove
nil
cons
cons
79
ref
1694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1693
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1699
def
subst
appThm
1700
def
trans
appThm
nil
138
ref
287
ref
287
ref
1666
ref
appTerm
1701
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1160
ref
subst
1702
def
trans
sym
49
ref
eqMp
eqMp
nil
116
ref
1680
remove
cons
117
ref
1681
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
78
ref
86
ref
1675
remove
appTerm
1679
remove
appTerm
nil
cons
cons
79
ref
73
ref
1668
ref
appTerm
nil
cons
1703
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
748
ref
1668
ref
12
ref
appTerm
betaConv
appThm
549
ref
154
ref
327
ref
1670
ref
appThm
1668
ref
299
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
549
ref
154
ref
1670
remove
absThm
appThm
appThm
nil
563
ref
1668
remove
nil
cons
1704
def
cons
nil
cons
nil
cons
cons
1228
remove
subst
eqMp
eqMp
nil
78
ref
1703
remove
cons
79
ref
1669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1704
remove
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1705
def
appThm
1706
def
appThm
293
remove
1706
remove
trans
1707
def
appThm
nil
138
ref
1701
remove
nil
cons
cons
nil
cons
nil
cons
cons
1160
ref
subst
trans
absThm
appThm
586
ref
trans
appThm
549
ref
154
ref
224
ref
294
ref
1707
ref
appThm
appThm
nil
1683
remove
nil
cons
nil
cons
cons
1705
remove
subst
1692
remove
trans
1700
remove
trans
appThm
1702
remove
trans
absThm
appThm
586
ref
trans
appThm
1058
ref
trans
appThm
1058
ref
trans
appThm
1058
ref
trans
sym
49
ref
eqMp
nil
116
ref
73
ref
154
ref
312
remove
299
ref
appTerm
absTerm
appTerm
nil
cons
cons
117
ref
86
ref
1664
remove
202
remove
appTerm
1708
def
appTerm
86
ref
73
ref
1661
ref
appTerm
1709
def
appTerm
73
ref
154
ref
60
ref
287
ref
286
remove
appTerm
appTerm
300
remove
appTerm
absTerm
appTerm
1710
def
appTerm
1711
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
339
ref
subst
proveHyp
nil
116
ref
1708
ref
nil
cons
cons
117
ref
1711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
339
ref
subst
proveHyp
nil
116
ref
1709
remove
nil
cons
1712
def
cons
117
ref
1710
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
proveHyp
nil
78
ref
1712
remove
cons
79
ref
1662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1661
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1713
def
trans
1714
def
nil
203
ref
358
remove
cons
154
ref
1623
ref
cons
641
ref
52
remove
cons
nil
cons
cons
cons
nil
cons
cons
23
ref
"_9306"
1
ref
var
1715
def
23
ref
60
ref
1715
remove
varTerm
appTerm
645
ref
appTerm
appTerm
318
ref
appTerm
absTerm
1716
def
158
ref
appTerm
1717
def
appTerm
refl
1716
ref
287
ref
510
ref
645
ref
appTerm
1718
def
appTerm
1719
def
appTerm
betaConv
appThm
119
ref
1717
remove
betaConv
appThm
23
ref
60
ref
1719
ref
appTerm
1720
def
645
ref
appTerm
1721
def
appTerm
318
ref
appTerm
refl
appThm
trans
1716
remove
refl
1720
ref
158
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
45
ref
1721
remove
nil
cons
cons
nil
cons
nil
cons
cons
1502
remove
subst
283
ref
nil
154
ref
666
ref
cons
203
ref
1719
ref
nil
cons
1722
def
cons
nil
cons
cons
nil
cons
cons
1723
def
154
ref
23
ref
406
ref
158
ref
appTerm
1724
def
appTerm
86
ref
874
ref
appTerm
1405
remove
appTerm
1725
def
appTerm
1726
def
absTerm
1727
def
158
ref
appTerm
1728
def
betaConv
203
ref
73
ref
1727
ref
appTerm
1729
def
absTerm
1730
def
207
ref
appTerm
1731
def
betaConv
549
ref
203
ref
549
ref
154
ref
1726
remove
assume
sym
23
ref
1725
remove
appTerm
1724
ref
appTerm
1732
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
73
ref
203
ref
73
ref
154
ref
1732
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
78
ref
73
ref
1730
ref
appTerm
nil
cons
cons
79
ref
1731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1730
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1729
remove
nil
cons
cons
79
ref
1728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1727
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
nil
904
ref
846
ref
645
ref
appTerm
1719
ref
appTerm
nil
cons
cons
905
ref
846
remove
1719
remove
appTerm
645
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
904
ref
23
ref
282
ref
1654
remove
909
ref
appTerm
appTerm
appTerm
784
ref
911
remove
appTerm
912
remove
appTerm
appTerm
absTerm
1733
def
909
ref
appTerm
1734
def
betaConv
905
ref
168
ref
1733
ref
appTerm
1735
def
absTerm
1736
def
908
ref
appTerm
1737
def
betaConv
nil
168
ref
1736
ref
appTerm
1738
def
axiom
nil
78
ref
1738
remove
nil
cons
cons
79
ref
1737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1736
remove
nil
cons
cons
919
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1735
remove
nil
cons
cons
79
ref
1734
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1733
remove
nil
cons
cons
920
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
trans
sym
793
ref
1723
ref
1457
ref
158
ref
appTerm
1739
def
betaConv
1459
ref
207
ref
appTerm
1740
def
betaConv
1461
remove
nil
78
ref
1460
remove
nil
cons
cons
79
ref
1740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1459
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1458
remove
nil
cons
cons
79
ref
1739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1457
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1741
def
subst
nil
154
ref
1722
remove
cons
203
ref
666
ref
cons
nil
cons
1742
def
cons
nil
cons
cons
1743
def
154
ref
23
ref
929
remove
appTerm
58
ref
"d"
1
ref
var
1744
def
487
ref
510
ref
287
ref
1744
ref
varTerm
1745
def
appTerm
1746
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1747
def
158
ref
appTerm
1748
def
betaConv
203
ref
73
ref
1747
ref
appTerm
1749
def
absTerm
1750
def
207
ref
appTerm
1751
def
betaConv
nil
73
ref
1750
ref
appTerm
1752
def
axiom
nil
78
ref
1752
remove
nil
cons
cons
79
ref
1751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1750
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1749
remove
nil
cons
cons
79
ref
1748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1747
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1753
def
subst
trans
223
ref
1744
ref
1720
ref
refl
nil
154
ref
1745
ref
nil
cons
1754
def
cons
1755
def
1742
remove
cons
nil
cons
cons
1699
ref
subst
appThm
absThm
appThm
trans
appThm
1743
remove
1741
ref
subst
1723
remove
1753
remove
subst
trans
223
ref
1744
ref
875
ref
refl
nil
154
ref
1746
remove
nil
cons
cons
203
ref
1718
ref
nil
cons
1756
def
cons
nil
cons
1757
def
cons
nil
cons
cons
1691
remove
subst
294
ref
nil
1755
ref
1757
remove
cons
nil
cons
cons
1699
remove
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
78
ref
784
ref
58
ref
1744
ref
1720
ref
287
ref
491
ref
645
ref
appTerm
1758
def
1745
ref
appTerm
appTerm
appTerm
1759
def
absTerm
1760
def
appTerm
1761
def
appTerm
58
ref
1744
ref
875
remove
287
ref
287
ref
491
ref
1718
ref
appTerm
1745
ref
appTerm
appTerm
appTerm
appTerm
1762
def
absTerm
1763
def
appTerm
1764
def
appTerm
1765
def
nil
cons
cons
nil
cons
nil
cons
cons
328
ref
refl
1766
def
nil
45
ref
282
ref
81
ref
appTerm
1767
def
nil
cons
1768
def
cons
nil
cons
nil
cons
cons
1517
ref
subst
appThm
sym
1766
remove
110
ref
45
ref
23
ref
282
ref
821
ref
appTerm
appTerm
46
ref
appTerm
absTerm
1769
def
46
ref
appTerm
1770
def
betaConv
nil
168
ref
1769
ref
appTerm
1771
def
axiom
nil
78
ref
1771
remove
nil
cons
cons
79
ref
1770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1769
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1772
def
subst
1773
def
appThm
nil
252
ref
109
ref
cons
nil
cons
1774
def
nil
cons
cons
580
ref
subst
trans
sym
49
ref
eqMp
eqMp
1775
def
subst
sym
nil
78
ref
282
ref
1765
remove
appTerm
1776
def
nil
cons
1777
def
cons
326
ref
cons
nil
cons
cons
1778
def
97
ref
subst
1778
remove
146
ref
subst
nil
73
ref
203
ref
73
ref
154
ref
512
remove
1665
ref
207
ref
appTerm
1779
def
appTerm
absTerm
1780
def
appTerm
1781
def
absTerm
1782
def
appTerm
1783
def
axiom
1784
def
nil
78
ref
1783
remove
nil
cons
1785
def
cons
1786
def
326
ref
cons
nil
cons
cons
1787
def
137
ref
subst
proveHyp
1787
ref
97
ref
subst
1787
remove
146
ref
subst
nil
"_9309"
1
ref
var
1788
def
666
remove
cons
"_9308"
1
ref
var
1789
def
214
ref
cons
nil
cons
cons
nil
cons
cons
154
ref
60
ref
491
ref
1789
remove
varTerm
1790
def
appTerm
158
ref
appTerm
appTerm
1665
ref
1790
ref
appTerm
appTerm
absTerm
1791
def
1788
remove
varTerm
1792
def
appTerm
1793
def
betaConv
1782
ref
1790
ref
appTerm
1794
def
betaConv
nil
1786
ref
79
ref
1794
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
1782
ref
nil
cons
cons
1795
def
138
ref
1790
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
73
ref
1791
ref
appTerm
nil
cons
cons
79
ref
1793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1791
remove
nil
cons
cons
138
ref
1792
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
78
ref
60
ref
1718
ref
appTerm
1758
ref
207
ref
appTerm
1796
def
appTerm
nil
cons
cons
79
ref
1720
ref
287
ref
1796
ref
appTerm
appTerm
nil
cons
1797
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_9313"
1
ref
var
1798
def
1796
ref
nil
cons
cons
"_9312"
1
ref
var
1799
def
1756
remove
cons
nil
cons
cons
nil
cons
cons
nil
78
ref
60
ref
1799
remove
varTerm
1800
def
appTerm
1798
remove
varTerm
1801
def
appTerm
1802
def
nil
cons
1803
def
cons
79
ref
60
ref
287
ref
1800
remove
appTerm
appTerm
287
ref
1801
remove
appTerm
appTerm
nil
cons
1804
def
cons
nil
cons
cons
nil
cons
cons
1805
def
97
ref
subst
1805
remove
146
ref
subst
294
ref
1802
remove
assume
appThm
eqMp
nil
116
ref
1803
remove
cons
117
ref
1804
remove
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
78
ref
1797
remove
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_9310"
1
ref
var
1806
def
214
ref
cons
nil
cons
nil
cons
cons
nil
78
ref
1720
remove
287
ref
1758
remove
1806
remove
varTerm
1807
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
23
ref
1767
ref
appTerm
refl
110
remove
1517
ref
subst
appThm
nil
252
ref
1768
remove
cons
nil
cons
nil
cons
cons
580
ref
subst
trans
sym
49
ref
eqMp
1808
def
subst
1744
ref
282
ref
1759
remove
appTerm
absTerm
1809
def
1807
ref
appTerm
1810
def
betaConv
nil
78
ref
1761
remove
nil
cons
cons
79
ref
1764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
78
ref
328
ref
318
ref
appTerm
1811
def
nil
cons
1812
def
cons
1813
def
79
ref
23
ref
282
ref
784
ref
81
ref
appTerm
1814
def
83
ref
appTerm
appTerm
appTerm
86
ref
1767
ref
appTerm
1815
def
282
ref
83
ref
appTerm
1816
def
appTerm
appTerm
nil
cons
1817
def
cons
nil
cons
1818
def
cons
nil
cons
cons
1819
def
97
ref
subst
1819
remove
146
ref
subst
23
ref
"_534"
2
ref
var
1820
def
23
ref
282
ref
784
ref
1820
remove
varTerm
1821
def
appTerm
83
ref
appTerm
appTerm
appTerm
86
ref
282
ref
1821
remove
appTerm
appTerm
1816
ref
appTerm
appTerm
absTerm
1822
def
81
ref
appTerm
1823
def
appTerm
refl
1824
def
1822
ref
318
ref
appTerm
betaConv
appThm
119
ref
1823
remove
betaConv
appThm
1825
def
23
ref
282
ref
800
ref
83
ref
appTerm
appTerm
appTerm
86
ref
352
ref
appTerm
1826
def
1816
ref
appTerm
appTerm
refl
appThm
trans
1822
remove
refl
1827
def
1811
remove
assume
1828
def
appThm
eqMp
sym
119
ref
283
ref
113
ref
804
ref
subst
1829
def
appThm
appThm
748
ref
353
ref
appThm
1830
def
1816
ref
refl
1831
def
appThm
nil
45
ref
1816
ref
nil
cons
1832
def
cons
nil
cons
nil
cons
cons
1833
def
818
ref
subst
1834
def
trans
appThm
nil
252
ref
1832
remove
cons
nil
cons
nil
cons
cons
580
ref
subst
1835
def
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
1812
ref
cons
1836
def
117
ref
1817
ref
cons
nil
cons
1837
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
328
remove
35
ref
appTerm
1838
def
nil
cons
1839
def
cons
1840
def
1818
remove
cons
nil
cons
cons
1841
def
97
ref
subst
1841
remove
146
ref
subst
1824
remove
"_532"
2
ref
var
1842
def
23
ref
282
ref
784
ref
1842
remove
varTerm
1843
def
appTerm
83
ref
appTerm
appTerm
appTerm
86
ref
282
ref
1843
remove
appTerm
appTerm
1816
ref
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
1825
remove
23
ref
282
ref
1590
ref
83
ref
appTerm
appTerm
appTerm
86
ref
1162
ref
appTerm
1844
def
1816
ref
appTerm
appTerm
refl
appThm
trans
1827
remove
1838
remove
assume
1845
def
appThm
eqMp
sym
119
ref
283
ref
113
ref
1594
ref
subst
1846
def
appThm
1163
ref
trans
appThm
748
ref
1163
ref
appThm
1847
def
1831
remove
appThm
1833
ref
45
ref
23
ref
86
ref
318
ref
appTerm
1848
def
46
ref
appTerm
appTerm
318
ref
appTerm
absTerm
1849
def
46
ref
appTerm
1850
def
betaConv
nil
168
ref
1849
ref
appTerm
1851
def
axiom
nil
78
ref
1851
remove
nil
cons
cons
79
ref
1850
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1849
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1852
def
subst
1853
def
trans
appThm
1553
remove
45
ref
23
ref
348
ref
46
ref
appTerm
appTerm
821
remove
appTerm
absTerm
1854
def
46
ref
appTerm
1855
def
betaConv
nil
168
ref
1854
ref
appTerm
1856
def
axiom
nil
78
ref
1856
remove
nil
cons
cons
79
ref
1855
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1854
remove
nil
cons
cons
254
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1857
def
subst
353
ref
trans
1858
def
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
1839
remove
cons
1859
def
1837
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
45
ref
784
ref
48
remove
appTerm
1498
remove
appTerm
absTerm
1860
def
81
ref
appTerm
1861
def
betaConv
nil
168
ref
1860
ref
appTerm
1862
def
axiom
1863
def
nil
78
ref
1862
remove
nil
cons
cons
1864
def
79
ref
1861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
1860
ref
nil
cons
cons
1865
def
1774
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1866
def
nil
1859
ref
117
ref
1812
remove
cons
1867
def
829
ref
1817
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
subst
748
ref
nil
5
ref
1760
ref
nil
cons
cons
nil
cons
nil
cons
cons
18
ref
119
ref
283
ref
165
ref
refl
1868
def
nil
"t"
26
ref
var
30
ref
nil
cons
1869
def
cons
nil
cons
nil
cons
cons
188
remove
"B"
3
ref
cons
nil
cons
cons
17
ref
cons
"t"
0
ref
25
ref
"B"
varType
1870
def
nil
cons
1871
def
cons
opType
1872
def
var
1873
def
19
remove
0
ref
1872
ref
0
ref
1872
ref
3
ref
cons
opType
1874
def
nil
cons
cons
opType
constTerm
1875
def
1873
ref
varTerm
1876
def
appTerm
34
ref
1876
ref
142
ref
appTerm
absTerm
1877
def
appTerm
1878
def
absTerm
1879
def
1876
ref
appTerm
1880
def
betaConv
24
ref
0
ref
1874
ref
3
ref
cons
opType
constTerm
1881
def
refl
1873
ref
1878
remove
assume
sym
1875
remove
1877
remove
appTerm
1876
ref
appTerm
1882
def
assume
sym
deductAntisym
absThm
appThm
nil
1881
ref
1873
remove
1882
remove
absTerm
appTerm
axiom
eqMp
nil
78
ref
1881
remove
1879
ref
appTerm
nil
cons
cons
79
ref
1880
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
"A"
1872
ref
nil
cons
cons
nil
cons
"P"
1874
remove
var
1879
remove
nil
cons
cons
"x"
1872
remove
var
1876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
1883
def
appThm
appThm
appThm
28
ref
34
ref
282
ref
143
ref
appTerm
1884
def
absTerm
1885
def
appTerm
refl
appThm
sym
nil
32
ref
1869
ref
cons
nil
cons
nil
cons
cons
1886
def
32
ref
23
ref
282
ref
165
ref
34
ref
169
ref
absTerm
1887
def
appTerm
1888
def
appTerm
appTerm
28
ref
34
ref
282
ref
169
ref
appTerm
absTerm
1889
def
appTerm
appTerm
absTerm
1890
def
33
ref
appTerm
1891
def
betaConv
nil
571
ref
1890
ref
appTerm
1892
def
axiom
nil
78
ref
1892
remove
nil
cons
cons
79
ref
1891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
1890
remove
nil
cons
cons
576
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
subst
1893
def
subst
549
ref
1744
ref
283
ref
1760
remove
1745
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
5
ref
1763
ref
nil
cons
cons
nil
cons
nil
cons
cons
1893
remove
subst
549
ref
1744
ref
283
ref
1763
remove
1745
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
1776
remove
assume
eqMp
nil
116
ref
73
ref
1809
ref
appTerm
nil
cons
1894
def
cons
117
ref
73
ref
1744
ref
282
ref
1762
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
131
ref
subst
proveHyp
nil
78
ref
1894
remove
cons
79
ref
1810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1809
remove
nil
cons
cons
138
ref
1807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
116
ref
1785
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
1777
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
1714
remove
eqMp
appThm
353
ref
trans
appThm
282
ref
1627
remove
appTerm
1895
def
refl
appThm
nil
45
ref
1895
remove
nil
cons
cons
nil
cons
nil
cons
cons
818
ref
subst
trans
sym
283
ref
1520
remove
1713
ref
sym
1896
def
294
ref
306
remove
appThm
trans
appThm
nil
154
ref
1558
remove
cons
434
remove
cons
nil
cons
cons
1193
remove
subst
784
ref
237
remove
287
ref
1521
remove
appTerm
appTerm
appTerm
refl
1526
remove
appThm
trans
trans
appThm
sym
283
ref
793
ref
819
ref
294
ref
294
remove
1708
remove
assume
sym
1589
ref
309
remove
appTerm
assume
sym
deductAntisym
298
remove
eqMp
1897
def
appThm
60
ref
1560
ref
appTerm
272
ref
appTerm
assume
sym
355
remove
1560
remove
appTerm
assume
sym
deductAntisym
1559
remove
eqMp
trans
1898
def
appThm
1713
remove
trans
appThm
1615
remove
trans
appThm
793
ref
819
ref
1898
remove
appThm
1495
remove
trans
appThm
793
ref
819
remove
1897
remove
appThm
1485
remove
trans
appThm
420
ref
appThm
1554
ref
trans
appThm
1554
ref
trans
appThm
1554
remove
trans
appThm
353
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
116
ref
1650
remove
cons
1899
def
1648
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1860
ref
1599
remove
appTerm
1900
def
betaConv
1863
ref
nil
1864
ref
79
ref
1900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
1865
ref
252
ref
1616
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
1899
remove
117
ref
1630
remove
cons
829
ref
1631
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
477
ref
117
ref
1618
ref
cons
nil
cons
1901
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1417
ref
1619
ref
cons
nil
cons
cons
1902
def
97
ref
subst
1902
remove
146
ref
subst
283
ref
1420
remove
1896
remove
appThm
nil
6
ref
287
remove
272
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
270
remove
subst
1568
remove
351
remove
subst
trans
trans
appThm
353
ref
trans
sym
49
ref
eqMp
eqMp
nil
419
ref
1901
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1432
ref
nil
419
ref
925
ref
829
ref
1618
remove
cons
nil
cons
1903
def
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1562
remove
1901
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1564
remove
1619
remove
cons
nil
cons
cons
1904
def
97
ref
subst
1904
remove
146
ref
subst
283
ref
1567
remove
1598
ref
refl
1905
def
appThm
nil
6
ref
1623
remove
cons
nil
cons
nil
cons
cons
1906
def
534
remove
subst
trans
appThm
sym
283
ref
1561
remove
274
ref
refl
1707
remove
appThm
nil
154
ref
1666
remove
nil
cons
cons
nil
cons
nil
cons
cons
154
ref
23
ref
274
ref
299
remove
appTerm
appTerm
282
ref
277
ref
appTerm
appTerm
absTerm
1907
def
158
ref
appTerm
1908
def
betaConv
nil
73
ref
1907
ref
appTerm
1909
def
axiom
nil
78
ref
1909
remove
nil
cons
cons
79
ref
1908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1907
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
283
ref
206
remove
154
ref
23
ref
274
ref
511
ref
appTerm
appTerm
23
ref
274
remove
207
ref
appTerm
appTerm
277
ref
appTerm
appTerm
absTerm
1910
def
158
ref
appTerm
1911
def
betaConv
203
ref
73
ref
1910
ref
appTerm
1912
def
absTerm
1913
def
207
ref
appTerm
1914
def
betaConv
nil
73
ref
1913
ref
appTerm
1915
def
axiom
nil
78
ref
1915
remove
nil
cons
cons
79
ref
1914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1913
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1912
remove
nil
cons
cons
79
ref
1911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1910
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
252
ref
277
remove
nil
cons
cons
nil
cons
nil
cons
cons
580
ref
subst
trans
appThm
1163
ref
trans
trans
trans
subst
appThm
353
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1494
ref
1901
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1579
remove
nil
1494
remove
1580
remove
1903
remove
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
116
ref
1609
ref
cons
117
ref
1611
ref
cons
nil
cons
1916
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
1608
ref
cons
1612
remove
cons
nil
cons
cons
1917
def
97
ref
subst
1917
remove
146
ref
subst
119
ref
544
ref
1601
ref
assume
1918
def
appThm
1905
ref
appThm
1906
ref
219
ref
subst
trans
appThm
224
ref
1918
remove
appThm
1905
ref
appThm
nil
1624
remove
nil
cons
cons
1160
remove
subst
trans
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
nil
1614
ref
1916
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
822
ref
1601
remove
appTerm
1919
def
betaConv
825
ref
nil
826
ref
79
ref
1919
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
827
ref
252
ref
1608
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
1614
remove
117
ref
1609
remove
cons
829
ref
1611
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
1581
remove
117
ref
1604
ref
cons
nil
cons
1920
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1583
remove
1605
remove
cons
nil
cons
cons
1921
def
97
ref
subst
1921
remove
146
ref
subst
119
ref
1586
remove
1905
ref
appThm
1906
remove
235
remove
subst
trans
appThm
1588
remove
1587
remove
1905
remove
appThm
appThm
nil
45
ref
1589
remove
1598
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1594
ref
subst
trans
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
nil
1484
ref
1920
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1596
remove
nil
1484
remove
1597
remove
829
ref
1604
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
73
ref
1603
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
55
ref
1309
remove
0
ref
2
ref
22
remove
nil
cons
cons
opType
constTerm
1922
def
238
ref
appTerm
742
ref
appTerm
365
remove
appTerm
appTerm
1923
def
absTerm
1924
def
appTerm
1925
def
absTerm
1926
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1925
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1924
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1923
remove
nil
cons
1927
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
362
ref
79
ref
1927
ref
cons
nil
cons
1928
def
cons
nil
cons
cons
1929
def
97
ref
subst
1929
remove
146
ref
subst
55
remove
refl
1922
remove
refl
1930
def
420
ref
appThm
742
remove
refl
1931
def
appThm
519
remove
appThm
nil
904
ref
504
remove
cons
905
ref
794
remove
cons
nil
cons
1932
def
cons
nil
cons
cons
178
ref
"t2"
25
ref
var
1933
def
258
ref
1330
ref
318
ref
appTerm
"t1"
25
ref
var
1934
def
varTerm
1935
def
appTerm
1933
ref
varTerm
1936
def
appTerm
appTerm
1936
ref
appTerm
absTerm
1937
def
1936
ref
appTerm
1938
def
betaConv
1934
ref
28
ref
1937
ref
appTerm
1939
def
absTerm
1940
def
1935
ref
appTerm
1941
def
betaConv
nil
28
ref
1940
ref
appTerm
1942
def
axiom
nil
78
ref
1942
remove
nil
cons
cons
79
ref
1941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1940
remove
nil
cons
cons
34
ref
1935
ref
nil
cons
cons
nil
cons
1943
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1939
remove
nil
cons
cons
79
ref
1938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1937
remove
nil
cons
cons
34
ref
1936
ref
nil
cons
cons
nil
cons
1944
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
sym
532
remove
eqMp
eqMp
nil
477
ref
117
ref
1927
ref
cons
nil
cons
1945
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1417
ref
1928
remove
cons
nil
cons
cons
1946
def
97
ref
subst
1946
remove
146
ref
subst
119
ref
1421
remove
appThm
1930
remove
224
ref
1419
ref
appThm
308
ref
appThm
1161
remove
trans
1947
def
appThm
1931
remove
appThm
224
ref
363
ref
refl
1419
ref
appThm
appThm
308
remove
appThm
appThm
nil
904
ref
60
ref
363
remove
12
ref
appTerm
appTerm
12
ref
appTerm
nil
cons
cons
1932
remove
cons
nil
cons
cons
178
remove
1933
remove
258
ref
1330
remove
35
ref
appTerm
1935
ref
appTerm
1936
ref
appTerm
appTerm
1935
ref
appTerm
absTerm
1948
def
1936
remove
appTerm
1949
def
betaConv
1934
remove
28
ref
1948
ref
appTerm
1950
def
absTerm
1951
def
1935
remove
appTerm
1952
def
betaConv
nil
28
ref
1951
ref
appTerm
1953
def
axiom
nil
78
ref
1953
remove
nil
cons
cons
79
ref
1952
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1951
remove
nil
cons
cons
1943
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1950
remove
nil
cons
cons
79
ref
1949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
1948
remove
nil
cons
cons
1944
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
nil
828
remove
nil
cons
cons
580
ref
subst
trans
sym
49
ref
eqMp
eqMp
nil
419
ref
1945
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1432
ref
nil
419
ref
925
ref
829
ref
1927
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1926
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
479
remove
absTerm
1954
def
appTerm
1955
def
absTerm
1956
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1955
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1954
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
480
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
478
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1956
remove
appTerm
thm
549
ref
6
ref
549
ref
51
ref
549
ref
59
ref
119
ref
691
remove
445
remove
appThm
appThm
784
ref
238
remove
appTerm
694
ref
appTerm
1957
def
refl
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
23
ref
9
ref
588
remove
10
ref
appTerm
1958
def
appTerm
66
ref
appTerm
appTerm
1957
ref
appTerm
1959
def
absTerm
1960
def
appTerm
1961
def
absTerm
1962
def
appTerm
1963
def
absTerm
1964
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1963
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1962
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1961
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1960
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1959
remove
nil
cons
1965
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
362
remove
79
ref
1965
ref
cons
nil
cons
1966
def
cons
nil
cons
cons
1967
def
97
ref
subst
1967
remove
146
ref
subst
119
ref
nil
51
ref
66
remove
nil
cons
cons
6
ref
1958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
151
ref
subst
223
remove
611
ref
224
ref
nil
642
ref
689
remove
728
remove
cons
cons
nil
cons
cons
783
ref
subst
appThm
447
remove
appThm
nil
432
remove
642
remove
203
ref
708
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
641
ref
23
ref
60
ref
872
remove
appTerm
647
remove
appTerm
appTerm
784
ref
1724
remove
appTerm
876
remove
appTerm
appTerm
absTerm
1968
def
645
ref
appTerm
1969
def
betaConv
154
ref
73
ref
1968
ref
appTerm
1970
def
absTerm
1971
def
158
ref
appTerm
1972
def
betaConv
203
ref
73
ref
1971
ref
appTerm
1973
def
absTerm
1974
def
207
ref
appTerm
1975
def
betaConv
nil
73
ref
1974
ref
appTerm
1976
def
axiom
nil
78
ref
1976
remove
nil
cons
cons
79
ref
1975
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1974
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1973
remove
nil
cons
cons
79
ref
1972
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1971
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1970
remove
nil
cons
cons
79
ref
1969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1968
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
784
ref
710
ref
appTerm
refl
420
ref
appThm
nil
45
ref
710
remove
nil
cons
cons
nil
cons
nil
cons
cons
1400
ref
subst
trans
trans
trans
absThm
appThm
trans
appThm
793
ref
420
remove
appThm
704
remove
appThm
nil
45
ref
722
ref
cons
nil
cons
nil
cons
cons
804
ref
subst
trans
appThm
nil
252
ref
722
remove
cons
nil
cons
nil
cons
cons
580
ref
subst
trans
sym
49
ref
eqMp
eqMp
nil
477
remove
117
ref
1965
ref
cons
nil
cons
1977
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1417
remove
1966
remove
cons
nil
cons
cons
1978
def
97
ref
subst
1978
remove
146
ref
subst
119
ref
544
remove
669
remove
1419
ref
appThm
1143
remove
245
remove
subst
trans
appThm
65
ref
refl
1419
remove
appThm
246
remove
trans
appThm
nil
241
remove
nil
cons
cons
219
remove
subst
trans
appThm
793
ref
1947
remove
appThm
694
remove
refl
appThm
1057
remove
1594
ref
subst
trans
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
nil
419
ref
1977
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1432
remove
nil
419
remove
925
remove
829
ref
1965
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1979
def
eqMp
nil
73
ref
6
ref
73
ref
51
ref
73
ref
59
ref
23
ref
681
ref
414
remove
appTerm
appTerm
1957
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
1979
remove
nil
73
ref
1964
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
73
ref
1744
ref
80
ref
86
ref
601
remove
appTerm
693
remove
1745
ref
appTerm
appTerm
appTerm
681
remove
65
ref
1745
ref
appTerm
1980
def
appTerm
appTerm
1981
def
absTerm
1982
def
appTerm
1983
def
absTerm
1984
def
appTerm
1985
def
absTerm
1986
def
appTerm
1987
def
absTerm
1988
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
1987
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1986
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
1985
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1984
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1983
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
1982
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
1744
ref
nil
45
ref
1981
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
748
ref
610
remove
appThm
nil
51
ref
1754
ref
cons
545
remove
cons
nil
cons
cons
151
ref
subst
appThm
appThm
nil
51
ref
1980
ref
nil
cons
cons
703
remove
cons
nil
cons
cons
151
remove
subst
appThm
sym
nil
78
ref
86
ref
618
remove
appTerm
58
ref
59
ref
751
remove
1745
ref
appTerm
absTerm
1989
def
appTerm
1990
def
appTerm
nil
cons
1991
def
cons
79
ref
58
ref
611
ref
705
remove
1980
remove
appTerm
absTerm
1992
def
appTerm
1993
def
nil
cons
1994
def
cons
nil
cons
1995
def
cons
nil
cons
cons
1996
def
97
ref
subst
1996
remove
146
ref
subst
nil
116
ref
966
remove
cons
117
ref
1990
ref
nil
cons
1997
def
cons
nil
cons
cons
nil
cons
cons
1998
def
131
ref
subst
1998
remove
339
ref
subst
nil
1255
remove
1995
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
611
ref
629
remove
1993
ref
appTerm
1999
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
611
remove
nil
45
ref
1999
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
632
remove
1995
ref
cons
nil
cons
cons
2000
def
97
ref
subst
2000
remove
146
ref
subst
636
remove
nil
638
remove
1995
ref
cons
nil
cons
cons
2001
def
137
ref
subst
proveHyp
2001
ref
97
ref
subst
2001
remove
146
ref
subst
nil
78
ref
1997
remove
cons
1995
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
981
ref
80
ref
1989
ref
982
ref
appTerm
2002
def
appTerm
1993
ref
appTerm
2003
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
981
remove
nil
45
ref
2003
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2002
ref
nil
cons
2004
def
cons
1995
ref
cons
nil
cons
cons
2005
def
97
ref
subst
2005
remove
146
ref
subst
2002
ref
betaConv
2002
remove
assume
eqMp
nil
78
ref
989
remove
1745
ref
appTerm
2006
def
nil
cons
2007
def
cons
1995
remove
cons
nil
cons
cons
2008
def
137
ref
subst
proveHyp
2008
ref
97
ref
subst
2008
remove
146
ref
subst
1992
ref
613
ref
982
remove
appTerm
2009
def
appTerm
betaConv
sym
23
ref
"_29247"
1
ref
var
2010
def
60
ref
63
ref
2009
ref
appTerm
680
remove
appTerm
appTerm
2011
def
65
ref
2010
remove
varTerm
appTerm
appTerm
absTerm
2012
def
1745
ref
appTerm
2013
def
appTerm
refl
2012
ref
988
ref
appTerm
betaConv
appThm
119
ref
2013
remove
betaConv
appThm
2011
ref
65
remove
988
ref
appTerm
appTerm
refl
appThm
trans
2012
remove
refl
2006
remove
assume
sym
appThm
eqMp
sym
23
ref
"_29251"
1
ref
var
2014
def
2011
ref
63
ref
2014
remove
varTerm
appTerm
988
ref
appTerm
appTerm
absTerm
2015
def
64
ref
appTerm
2016
def
appTerm
refl
2015
ref
614
ref
appTerm
betaConv
appThm
119
ref
2016
remove
betaConv
appThm
2011
remove
63
ref
614
remove
appTerm
988
remove
appTerm
appTerm
refl
appThm
trans
2015
remove
refl
670
remove
sym
appThm
eqMp
sym
224
ref
nil
727
ref
155
ref
203
ref
2009
remove
nil
cons
2017
def
cons
nil
cons
cons
cons
nil
cons
cons
783
ref
subst
appThm
nil
727
remove
1277
remove
203
ref
731
remove
cons
nil
cons
cons
cons
nil
cons
cons
783
remove
subst
appThm
sym
63
remove
refl
224
remove
1278
remove
668
ref
subst
appThm
nil
641
ref
1005
remove
cons
729
remove
cons
nil
cons
cons
668
remove
subst
appThm
sym
613
remove
refl
nil
155
remove
1006
remove
cons
nil
cons
cons
444
remove
subst
appThm
eqMp
appThm
507
ref
appThm
eqMp
eqMp
eqMp
eqMp
16
ref
5
ref
1992
remove
nil
cons
cons
138
ref
2017
remove
cons
nil
cons
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
nil
116
ref
2007
remove
cons
117
ref
1994
remove
cons
nil
cons
2018
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2004
remove
cons
2018
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
1989
ref
451
ref
appTerm
appTerm
1993
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
1990
remove
appTerm
1993
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1989
remove
nil
cons
cons
2018
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
671
remove
2018
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
673
remove
2018
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
674
remove
1993
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
619
remove
1993
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
675
remove
2018
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
1991
remove
cons
2018
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
1988
remove
appTerm
thm
nil
5
ref
6
ref
73
ref
51
ref
73
ref
59
ref
1356
remove
absTerm
2019
def
appTerm
2020
def
absTerm
2021
def
appTerm
2022
def
absTerm
2023
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
2022
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2021
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
2020
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2019
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
1357
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
1433
ref
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
73
ref
2023
remove
appTerm
thm
nil
5
ref
51
ref
58
ref
"g"
1
ref
var
2024
def
86
ref
9
remove
2024
ref
varTerm
2025
def
appTerm
2026
def
12
ref
appTerm
appTerm
86
ref
2026
ref
53
ref
appTerm
2027
def
appTerm
2028
def
73
ref
59
ref
80
ref
86
ref
1096
ref
12
ref
appTerm
appTerm
1098
ref
appTerm
appTerm
1096
ref
2025
ref
appTerm
2029
def
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
2030
def
appTerm
2031
def
absTerm
2032
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
2031
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
2030
ref
53
ref
appTerm
betaConv
sym
748
ref
546
remove
195
ref
subst
appThm
748
ref
547
remove
appThm
549
ref
59
ref
327
ref
748
ref
1422
remove
195
remove
subst
appThm
1098
remove
refl
2033
def
appThm
1348
ref
818
ref
subst
trans
appThm
2033
ref
appThm
1348
remove
525
remove
subst
2034
def
trans
absThm
appThm
586
remove
trans
appThm
1058
ref
trans
appThm
1058
ref
trans
sym
49
ref
eqMp
eqMp
16
ref
5
ref
2030
remove
nil
cons
cons
150
remove
cons
nil
cons
cons
194
ref
subst
proveHyp
eqMp
absThm
eqMp
nil
78
ref
73
ref
2032
ref
appTerm
2035
def
nil
cons
cons
79
ref
86
ref
73
ref
6
ref
73
ref
51
ref
80
ref
86
ref
1462
remove
appTerm
2036
def
58
ref
2024
ref
2028
ref
86
ref
2026
ref
10
ref
appTerm
2037
def
appTerm
2038
def
73
ref
59
ref
80
ref
1352
ref
appTerm
2029
ref
appTerm
absTerm
2039
def
appTerm
2040
def
appTerm
2041
def
appTerm
2042
def
absTerm
2043
def
appTerm
2044
def
appTerm
2045
def
appTerm
58
ref
2024
ref
2038
ref
2028
ref
73
ref
59
ref
1294
remove
2029
ref
appTerm
2046
def
absTerm
2047
def
appTerm
2048
def
appTerm
2049
def
appTerm
2050
def
absTerm
2051
def
appTerm
2052
def
appTerm
2053
def
absTerm
2054
def
appTerm
2055
def
absTerm
2056
def
appTerm
2057
def
appTerm
73
ref
6
ref
73
ref
51
ref
80
ref
2052
ref
appTerm
58
ref
2024
ref
2038
remove
86
ref
2026
ref
1234
remove
10
ref
appTerm
2058
def
appTerm
2059
def
appTerm
73
ref
59
ref
80
ref
1292
remove
1096
ref
2058
ref
appTerm
2060
def
appTerm
2061
def
appTerm
2029
ref
appTerm
2062
def
absTerm
2063
def
appTerm
2064
def
appTerm
2065
def
appTerm
absTerm
2066
def
appTerm
2067
def
appTerm
2068
def
absTerm
2069
def
appTerm
2070
def
absTerm
2071
def
appTerm
2072
def
appTerm
2073
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
5
ref
2056
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
2055
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2054
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
2053
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2045
remove
nil
cons
2074
def
cons
79
ref
2052
ref
nil
cons
2075
def
cons
nil
cons
2076
def
cons
nil
cons
cons
2077
def
97
ref
subst
2077
remove
146
ref
subst
nil
116
ref
1463
remove
cons
117
ref
2044
ref
nil
cons
2078
def
cons
nil
cons
cons
nil
cons
cons
339
ref
subst
nil
78
ref
2078
remove
cons
2076
ref
cons
nil
cons
cons
137
ref
subst
nil
5
ref
2024
ref
80
ref
2043
ref
2025
ref
appTerm
2079
def
appTerm
2052
ref
appTerm
2080
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
2024
ref
nil
45
ref
2080
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2079
ref
nil
cons
2081
def
cons
2076
ref
cons
nil
cons
cons
2082
def
97
ref
subst
2082
remove
146
ref
subst
2079
ref
betaConv
2079
remove
assume
eqMp
nil
78
ref
2042
remove
nil
cons
2083
def
cons
2076
remove
cons
nil
cons
cons
2084
def
137
ref
subst
proveHyp
2084
ref
97
ref
subst
2084
remove
146
ref
subst
nil
116
ref
2027
ref
nil
cons
2085
def
cons
2086
def
117
ref
2041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2087
def
131
ref
subst
2087
remove
339
ref
subst
nil
116
ref
2037
ref
nil
cons
2088
def
cons
2089
def
117
ref
2040
remove
nil
cons
2090
def
cons
nil
cons
cons
nil
cons
cons
2091
def
131
ref
subst
2091
remove
339
ref
subst
2051
ref
2025
ref
appTerm
2092
def
betaConv
2093
def
sym
748
ref
nil
45
ref
2088
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
2037
ref
assume
eqMp
2094
def
appThm
2095
def
748
ref
nil
45
ref
2085
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
2027
remove
assume
eqMp
appThm
2096
def
2048
ref
refl
appThm
nil
45
ref
2048
remove
nil
cons
2097
def
cons
nil
cons
nil
cons
cons
818
ref
subst
2098
def
trans
appThm
2098
remove
trans
sym
nil
5
ref
2047
ref
nil
cons
cons
2099
def
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
2046
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
1304
remove
79
ref
2029
ref
nil
cons
2100
def
cons
nil
cons
2101
def
cons
nil
cons
cons
2102
def
97
ref
subst
2102
ref
146
ref
subst
1130
remove
1307
remove
1350
remove
sym
49
ref
eqMp
nil
78
ref
1352
remove
nil
cons
cons
2101
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
2039
ref
64
ref
appTerm
2103
def
betaConv
nil
78
ref
2090
remove
cons
79
ref
2103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
2039
remove
nil
cons
cons
413
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
1471
remove
117
ref
2100
remove
cons
nil
cons
2104
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
16
ref
5
ref
2051
ref
nil
cons
cons
2105
def
138
ref
2025
ref
nil
cons
2106
def
cons
nil
cons
2107
def
cons
nil
cons
cons
194
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
2083
remove
cons
117
ref
2075
remove
cons
nil
cons
2108
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2081
remove
cons
2108
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
2043
ref
451
ref
appTerm
appTerm
2052
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
2044
remove
appTerm
2052
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2043
remove
nil
cons
cons
2108
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
116
ref
2074
remove
cons
2108
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
78
ref
2057
remove
nil
cons
cons
79
ref
2072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
5
ref
2071
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
6
ref
nil
45
ref
2070
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2069
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
51
ref
nil
45
ref
2068
remove
nil
cons
2109
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2024
ref
80
ref
2092
ref
appTerm
2067
ref
appTerm
2110
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
2024
ref
nil
45
ref
2110
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2092
ref
nil
cons
2111
def
cons
79
ref
2067
ref
nil
cons
2112
def
cons
nil
cons
2113
def
cons
nil
cons
cons
2114
def
97
ref
subst
2114
remove
146
ref
subst
2093
remove
2092
remove
assume
eqMp
nil
78
ref
2050
remove
nil
cons
2115
def
cons
2113
remove
cons
nil
cons
cons
2116
def
137
ref
subst
proveHyp
2116
ref
97
ref
subst
2116
remove
146
ref
subst
nil
2089
remove
117
ref
2049
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2117
def
131
ref
subst
2117
remove
339
ref
subst
nil
2086
remove
117
ref
2097
ref
cons
nil
cons
cons
nil
cons
cons
2118
def
131
ref
subst
2118
remove
339
ref
subst
2066
ref
2025
remove
appTerm
betaConv
sym
2095
remove
2065
ref
refl
appThm
nil
45
ref
2065
remove
nil
cons
cons
nil
cons
nil
cons
cons
818
ref
subst
trans
sym
2096
remove
2094
remove
appThm
1058
ref
trans
sym
49
ref
eqMp
nil
78
ref
2028
ref
2037
remove
appTerm
nil
cons
cons
79
ref
2059
remove
nil
cons
2119
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
1109
ref
6
ref
2106
remove
cons
nil
cons
cons
nil
cons
cons
1291
remove
subst
eqMp
nil
78
ref
2119
remove
cons
79
ref
2064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
5
ref
2063
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
59
ref
nil
45
ref
2062
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2061
remove
nil
cons
2120
def
cons
2101
remove
cons
nil
cons
cons
2121
def
97
ref
subst
2121
remove
146
ref
subst
nil
1128
remove
117
ref
2060
ref
nil
cons
2122
def
cons
nil
cons
cons
nil
cons
cons
2123
def
131
ref
subst
2123
remove
339
ref
subst
1120
remove
748
ref
nil
508
remove
156
remove
cons
nil
cons
cons
nil
45
ref
1404
remove
511
ref
appTerm
2124
def
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
154
ref
2124
remove
absTerm
2125
def
158
ref
appTerm
2126
def
betaConv
203
ref
73
ref
2125
ref
appTerm
2127
def
absTerm
2128
def
207
ref
appTerm
2129
def
betaConv
nil
73
ref
2128
ref
appTerm
2130
def
axiom
nil
78
ref
2130
remove
nil
cons
cons
79
ref
2129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2128
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2127
remove
nil
cons
cons
79
ref
2126
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2125
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
appThm
748
ref
nil
45
ref
2122
remove
cons
nil
cons
nil
cons
cons
50
ref
subst
2060
ref
assume
eqMp
appThm
1125
remove
appThm
1058
ref
trans
appThm
1058
remove
trans
sym
49
ref
eqMp
nil
78
ref
86
ref
847
remove
2058
ref
appTerm
appTerm
86
ref
2060
remove
appTerm
1097
remove
appTerm
appTerm
nil
cons
cons
79
ref
1096
remove
1311
ref
2058
ref
appTerm
10
ref
appTerm
appTerm
nil
cons
2131
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
1109
remove
51
ref
2058
ref
nil
cons
cons
1127
remove
cons
cons
nil
cons
cons
1433
remove
subst
eqMp
nil
78
ref
2131
remove
cons
1118
remove
cons
nil
cons
cons
137
ref
subst
327
ref
1308
remove
1186
remove
154
ref
60
ref
1311
remove
511
ref
appTerm
158
ref
appTerm
appTerm
207
ref
appTerm
absTerm
2132
def
158
ref
appTerm
2133
def
betaConv
203
ref
73
ref
2132
ref
appTerm
2134
def
absTerm
2135
def
207
ref
appTerm
2136
def
betaConv
nil
73
ref
2135
ref
appTerm
2137
def
axiom
nil
78
ref
2137
remove
nil
cons
cons
79
ref
2136
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2135
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2134
remove
nil
cons
cons
79
ref
2133
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2132
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
appThm
2033
remove
appThm
2034
remove
trans
sym
49
ref
eqMp
eqMp
proveHyp
eqMp
2102
remove
137
ref
subst
proveHyp
2047
remove
64
remove
appTerm
2138
def
betaConv
nil
78
ref
2097
remove
cons
79
ref
2138
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
2099
remove
413
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
116
ref
2120
remove
cons
2104
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
16
ref
5
ref
2066
remove
nil
cons
cons
2107
remove
cons
nil
cons
cons
194
remove
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
2115
remove
cons
117
ref
2112
remove
cons
nil
cons
2139
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2111
remove
cons
2139
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
2051
remove
451
ref
appTerm
appTerm
2067
remove
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
2109
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
2105
remove
2139
remove
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
78
ref
86
ref
2035
remove
appTerm
2073
remove
appTerm
nil
cons
cons
79
ref
73
ref
6
ref
73
ref
51
ref
2052
remove
absTerm
2140
def
appTerm
absTerm
appTerm
2141
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
748
ref
549
ref
51
ref
6
ref
2140
ref
absTerm
2142
def
12
ref
appTerm
betaConv
507
ref
appThm
2032
remove
53
ref
appTerm
betaConv
trans
absThm
appThm
appThm
748
ref
549
ref
6
ref
549
ref
51
ref
327
ref
2036
remove
refl
2142
ref
53
ref
appTerm
betaConv
232
remove
appThm
1121
remove
58
ref
2024
remove
2028
remove
86
ref
2026
remove
1122
remove
appTerm
appTerm
73
ref
59
remove
80
ref
1351
remove
1123
remove
appTerm
appTerm
2029
remove
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
10
ref
appTerm
betaConv
trans
appThm
appThm
2142
ref
10
remove
appTerm
betaConv
2143
def
507
remove
appThm
2140
ref
53
remove
appTerm
betaConv
trans
2144
def
appThm
absThm
appThm
absThm
appThm
appThm
549
ref
6
ref
549
ref
51
ref
327
ref
2144
ref
appThm
2143
remove
2058
ref
refl
appThm
2140
remove
2058
remove
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
549
ref
6
remove
549
ref
51
remove
2144
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
8
ref
var
2145
def
2142
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
78
ref
86
ref
73
ref
154
ref
2145
ref
varTerm
2146
def
12
ref
appTerm
158
ref
appTerm
2147
def
absTerm
2148
def
appTerm
2149
def
appTerm
86
ref
73
ref
203
ref
73
ref
154
ref
80
ref
86
ref
1448
ref
appTerm
2146
ref
158
ref
appTerm
207
ref
appTerm
2150
def
appTerm
2151
def
appTerm
2146
ref
207
ref
appTerm
2152
def
158
ref
appTerm
2153
def
appTerm
absTerm
2154
def
appTerm
2155
def
absTerm
2156
def
appTerm
2157
def
appTerm
73
ref
203
ref
73
ref
154
ref
80
ref
2153
ref
appTerm
2152
ref
1779
ref
appTerm
appTerm
absTerm
2158
def
appTerm
2159
def
absTerm
2160
def
appTerm
2161
def
appTerm
2162
def
appTerm
2163
def
nil
cons
2164
def
cons
79
ref
73
ref
203
ref
73
ref
154
ref
2153
ref
absTerm
2165
def
appTerm
2166
def
absTerm
2167
def
appTerm
2168
def
nil
cons
2169
def
cons
nil
cons
cons
nil
cons
cons
2170
def
97
ref
subst
2170
remove
146
ref
subst
nil
116
ref
2149
remove
nil
cons
2171
def
cons
117
ref
2162
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2172
def
131
ref
subst
2172
remove
339
ref
subst
nil
116
ref
2157
remove
nil
cons
2173
def
cons
117
ref
2161
remove
nil
cons
2174
def
cons
nil
cons
cons
nil
cons
cons
2175
def
131
ref
subst
2175
remove
339
ref
subst
nil
5
ref
2167
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
203
ref
nil
45
ref
2166
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2165
ref
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
154
ref
nil
45
ref
2153
ref
nil
cons
2176
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
203
ref
73
ref
154
ref
80
ref
73
ref
"m'"
1
ref
var
2177
def
80
ref
927
ref
2177
ref
varTerm
2178
def
appTerm
510
ref
511
ref
appTerm
2179
def
appTerm
2180
def
appTerm
73
ref
"m''"
1
ref
var
2181
def
73
ref
154
ref
80
ref
60
ref
2178
ref
appTerm
2182
def
491
ref
2181
ref
varTerm
2183
def
appTerm
2184
def
2184
ref
158
ref
appTerm
appTerm
appTerm
appTerm
2146
ref
2183
ref
appTerm
2185
def
158
ref
appTerm
appTerm
absTerm
2186
def
appTerm
absTerm
2187
def
appTerm
appTerm
absTerm
appTerm
appTerm
2153
ref
appTerm
2188
def
absTerm
2189
def
appTerm
2190
def
absTerm
2191
def
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
203
ref
nil
45
ref
2190
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
5
ref
2189
remove
nil
cons
cons
nil
cons
nil
cons
cons
44
ref
subst
154
ref
nil
45
ref
2188
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
327
ref
119
ref
549
ref
2177
ref
327
ref
2177
ref
2180
remove
absTerm
2192
def
2178
ref
appTerm
betaConv
appThm
2193
def
549
ref
2181
ref
2177
ref
2187
ref
absTerm
2194
def
2178
ref
appTerm
betaConv
2183
ref
refl
appThm
2187
remove
2183
ref
appTerm
betaConv
trans
2195
def
absThm
appThm
appThm
absThm
appThm
appThm
549
ref
2181
ref
549
ref
2177
ref
2193
ref
2195
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
5
ref
2192
ref
nil
cons
cons
2196
def
"Q"
8
ref
var
2197
def
2194
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"B"
15
remove
cons
16
ref
cons
17
ref
cons
nil
78
ref
23
ref
28
ref
34
ref
173
ref
24
ref
0
ref
0
ref
1870
ref
3
ref
cons
opType
2198
def
3
ref
cons
opType
2199
def
constTerm
2200
def
"y"
1870
ref
var
2201
def
"Q"
0
ref
25
ref
2198
ref
nil
cons
cons
opType
var
varTerm
2202
def
142
ref
appTerm
2203
def
2201
ref
varTerm
2204
def
appTerm
2205
def
absTerm
2206
def
appTerm
2207
def
appTerm
absTerm
2208
def
appTerm
2209
def
appTerm
2200
ref
2201
ref
28
ref
34
ref
173
remove
2205
ref
appTerm
absTerm
2210
def
appTerm
absTerm
2211
def
appTerm
2212
def
appTerm
2213
def
nil
cons
cons
nil
cons
nil
cons
cons
1775
ref
subst
sym
nil
78
ref
282
ref
2213
remove
appTerm
2214
def
nil
cons
2215
def
cons
326
ref
cons
nil
cons
cons
2216
def
97
ref
subst
2216
remove
146
ref
subst
nil
78
ref
2209
remove
nil
cons
cons
79
ref
2212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1813
ref
79
ref
23
ref
282
ref
329
remove
appTerm
appTerm
784
ref
87
ref
1816
ref
appTerm
2217
def
appTerm
1815
remove
83
ref
appTerm
appTerm
appTerm
nil
cons
2218
def
cons
nil
cons
2219
def
cons
nil
cons
cons
2220
def
97
ref
subst
2220
remove
146
ref
subst
23
ref
"_550"
2
ref
var
2221
def
23
ref
282
ref
23
ref
2221
remove
varTerm
2222
def
appTerm
83
ref
appTerm
appTerm
appTerm
784
ref
86
ref
2222
ref
appTerm
1816
ref
appTerm
appTerm
86
ref
282
ref
2222
remove
appTerm
appTerm
83
ref
appTerm
appTerm
appTerm
absTerm
2223
def
81
ref
appTerm
2224
def
appTerm
refl
2225
def
2223
ref
318
ref
appTerm
betaConv
appThm
119
ref
2224
remove
betaConv
appThm
2226
def
23
ref
282
ref
348
remove
83
ref
appTerm
appTerm
appTerm
784
ref
1848
ref
1816
ref
appTerm
2227
def
appTerm
1826
remove
83
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2223
remove
refl
2228
def
1828
ref
appThm
eqMp
sym
119
ref
283
ref
113
ref
1857
remove
subst
appThm
113
ref
1772
ref
subst
trans
appThm
793
ref
1853
ref
appThm
1830
remove
92
ref
appThm
113
ref
818
ref
subst
trans
appThm
1829
ref
trans
appThm
nil
252
ref
112
ref
cons
nil
cons
2229
def
nil
cons
cons
580
ref
subst
2230
def
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1836
ref
117
ref
2218
ref
cons
nil
cons
2231
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1840
ref
2219
remove
cons
nil
cons
cons
2232
def
97
ref
subst
2232
remove
146
ref
subst
2225
remove
"_548"
2
ref
var
2233
def
23
ref
282
ref
23
ref
2233
remove
varTerm
2234
def
appTerm
83
ref
appTerm
appTerm
appTerm
784
ref
86
ref
2234
ref
appTerm
1816
ref
appTerm
appTerm
86
ref
282
ref
2234
remove
appTerm
appTerm
83
ref
appTerm
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
2226
remove
23
ref
282
ref
1572
remove
83
ref
appTerm
appTerm
appTerm
784
ref
814
ref
1816
ref
appTerm
2235
def
appTerm
1844
remove
83
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2228
remove
1845
ref
appThm
eqMp
sym
119
ref
283
ref
113
ref
1576
remove
subst
appThm
appThm
793
ref
1834
ref
appThm
1847
remove
92
ref
appThm
113
ref
1852
ref
subst
trans
appThm
1833
remove
1400
remove
subst
trans
appThm
1835
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1859
ref
2231
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1866
ref
nil
1859
ref
1867
ref
829
ref
2218
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
2236
def
subst
793
ref
748
ref
28
ref
refl
2237
def
34
ref
nil
185
ref
79
ref
2207
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2238
def
nil
1813
ref
79
ref
85
remove
784
ref
1767
remove
appTerm
83
ref
appTerm
appTerm
nil
cons
2239
def
cons
nil
cons
2240
def
cons
nil
cons
cons
2241
def
97
ref
subst
2241
remove
146
ref
subst
23
ref
"_538"
2
ref
var
2242
def
23
ref
80
ref
2242
remove
varTerm
2243
def
appTerm
83
ref
appTerm
appTerm
784
ref
282
ref
2243
remove
appTerm
appTerm
83
ref
appTerm
appTerm
absTerm
2244
def
81
ref
appTerm
2245
def
appTerm
refl
2246
def
2244
ref
318
ref
appTerm
betaConv
appThm
119
ref
2245
remove
betaConv
appThm
2247
def
23
ref
344
remove
83
ref
appTerm
2248
def
appTerm
784
ref
352
remove
appTerm
2249
def
83
ref
appTerm
appTerm
refl
appThm
trans
2244
remove
refl
2250
def
1828
ref
appThm
eqMp
sym
119
ref
113
ref
1167
remove
subst
2251
def
appThm
793
ref
353
ref
appThm
2252
def
92
ref
appThm
1846
remove
trans
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1836
ref
117
ref
2239
ref
cons
nil
cons
2253
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1840
ref
2240
remove
cons
nil
cons
cons
2254
def
97
ref
subst
2254
remove
146
ref
subst
2246
remove
"_536"
2
ref
var
2255
def
23
ref
80
ref
2255
remove
varTerm
2256
def
appTerm
83
ref
appTerm
appTerm
784
ref
282
ref
2256
remove
appTerm
appTerm
83
ref
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
2247
remove
23
ref
423
remove
83
ref
appTerm
2257
def
appTerm
784
ref
1162
remove
appTerm
2258
def
83
ref
appTerm
appTerm
refl
appThm
trans
2250
remove
1845
ref
appThm
eqMp
sym
119
ref
113
remove
427
remove
subst
2259
def
appThm
793
ref
1163
ref
appThm
2260
def
92
remove
appThm
1829
remove
trans
appThm
2230
remove
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1859
ref
2253
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1866
ref
nil
1859
ref
1867
ref
829
ref
2239
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
2261
def
subst
absThm
appThm
appThm
nil
"P"
2198
ref
var
2262
def
2211
ref
nil
cons
cons
nil
cons
nil
cons
cons
"A"
1871
remove
cons
nil
cons
2263
def
17
ref
cons
2264
def
119
ref
283
ref
2237
ref
1883
remove
appThm
appThm
appThm
165
ref
1885
remove
appTerm
refl
appThm
sym
1886
remove
32
ref
23
ref
282
ref
28
ref
1887
remove
appTerm
appTerm
appTerm
165
ref
1889
remove
appTerm
appTerm
absTerm
2265
def
33
ref
appTerm
2266
def
betaConv
nil
571
ref
2265
ref
appTerm
2267
def
axiom
nil
78
ref
2267
remove
nil
cons
cons
79
ref
2266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2265
remove
nil
cons
cons
576
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
2268
def
subst
2269
def
subst
56
remove
2199
remove
constTerm
2270
def
refl
2271
def
2201
ref
283
ref
2211
remove
2204
ref
appTerm
betaConv
appThm
nil
29
ref
2210
ref
nil
cons
cons
nil
cons
nil
cons
cons
2268
ref
subst
1868
ref
34
ref
283
ref
2210
remove
142
ref
appTerm
betaConv
appThm
nil
185
ref
79
ref
2205
ref
nil
cons
2272
def
cons
nil
cons
cons
nil
cons
cons
2273
def
nil
1813
remove
79
ref
23
ref
282
ref
84
remove
appTerm
appTerm
2217
remove
appTerm
nil
cons
2274
def
cons
nil
cons
2275
def
cons
nil
cons
cons
2276
def
97
ref
subst
2276
remove
146
ref
subst
23
ref
"_542"
2
ref
var
2277
def
23
ref
282
ref
80
ref
2277
remove
varTerm
2278
def
appTerm
83
ref
appTerm
appTerm
appTerm
86
ref
2278
remove
appTerm
1816
ref
appTerm
appTerm
absTerm
2279
def
81
ref
appTerm
2280
def
appTerm
refl
2281
def
2279
ref
318
ref
appTerm
betaConv
appThm
119
ref
2280
remove
betaConv
appThm
2282
def
23
ref
282
ref
2248
remove
appTerm
appTerm
2227
remove
appTerm
refl
appThm
trans
2279
remove
refl
2283
def
1828
remove
appThm
eqMp
sym
119
ref
283
ref
2251
remove
appThm
1163
remove
trans
appThm
1853
remove
appThm
1858
remove
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1836
remove
117
ref
2274
ref
cons
nil
cons
2284
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
1840
remove
2275
remove
cons
nil
cons
cons
2285
def
97
ref
subst
2285
remove
146
ref
subst
2281
remove
"_540"
2
ref
var
2286
def
23
ref
282
ref
80
ref
2286
remove
varTerm
2287
def
appTerm
83
ref
appTerm
appTerm
appTerm
86
ref
2287
remove
appTerm
1816
remove
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
2282
remove
23
ref
282
ref
2257
remove
appTerm
appTerm
2235
remove
appTerm
refl
appThm
trans
2283
remove
1845
remove
appThm
eqMp
sym
119
ref
283
ref
2259
remove
appThm
appThm
1834
remove
appThm
1835
remove
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
1859
ref
2284
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1866
remove
nil
1859
remove
1867
remove
829
ref
2274
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
2288
def
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
748
ref
nil
29
ref
2208
ref
nil
cons
cons
nil
cons
nil
cons
cons
2268
ref
subst
1868
ref
34
ref
283
ref
2208
remove
142
ref
appTerm
betaConv
appThm
2238
remove
2288
ref
subst
748
ref
143
ref
refl
appThm
2289
def
nil
2262
ref
2206
ref
nil
cons
2290
def
cons
nil
cons
nil
cons
cons
2269
remove
subst
2271
ref
2201
ref
283
ref
2206
remove
2204
ref
appTerm
betaConv
2291
def
appThm
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
appThm
2200
ref
refl
2292
def
2201
ref
2237
ref
34
ref
2273
remove
2261
ref
subst
absThm
appThm
absThm
appThm
appThm
appThm
trans
793
ref
119
ref
86
ref
28
ref
34
ref
784
ref
1884
ref
appTerm
2293
def
2207
remove
appTerm
absTerm
appTerm
2294
def
appTerm
2295
def
refl
2296
def
2271
ref
2201
ref
2201
ref
165
ref
34
ref
86
ref
143
ref
appTerm
2297
def
282
ref
2205
ref
appTerm
2298
def
appTerm
2299
def
absTerm
2300
def
appTerm
absTerm
2301
def
2204
ref
appTerm
betaConv
2302
def
absThm
appThm
appThm
appThm
2271
ref
2201
ref
2296
ref
2302
remove
appThm
absThm
appThm
appThm
nil
"q"
2198
ref
var
2303
def
2301
remove
nil
cons
cons
78
ref
2294
remove
nil
cons
2304
def
cons
nil
cons
2305
def
cons
nil
cons
cons
2264
ref
"q"
26
remove
var
2306
def
23
ref
87
ref
165
ref
34
ref
2306
ref
varTerm
2307
def
142
ref
appTerm
2308
def
absTerm
2309
def
appTerm
2310
def
appTerm
appTerm
165
ref
34
ref
87
remove
2308
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2311
def
2307
ref
appTerm
2312
def
betaConv
78
ref
571
ref
2311
ref
appTerm
2313
def
absTerm
2314
def
81
ref
appTerm
2315
def
betaConv
nil
168
ref
2314
ref
appTerm
2316
def
axiom
nil
78
ref
2316
remove
nil
cons
cons
79
ref
2315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2314
remove
nil
cons
cons
1774
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2313
remove
nil
cons
cons
79
ref
2312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2311
remove
nil
cons
cons
575
ref
2307
ref
nil
cons
cons
nil
cons
2317
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2318
def
subst
2319
def
subst
eqMp
2271
ref
2201
ref
119
ref
2296
ref
1868
ref
34
ref
2300
ref
142
ref
appTerm
betaConv
2320
def
absThm
appThm
appThm
appThm
1868
ref
34
ref
2296
remove
2320
remove
appThm
absThm
appThm
appThm
nil
2306
ref
2300
remove
nil
cons
cons
2305
remove
cons
nil
cons
cons
2318
remove
subst
eqMp
absThm
appThm
trans
appThm
748
ref
1868
ref
34
ref
119
ref
2289
ref
2271
ref
2201
ref
2201
ref
2298
ref
absTerm
2321
def
2204
ref
appTerm
betaConv
2322
def
absThm
appThm
appThm
appThm
2271
ref
2201
ref
2289
remove
2322
remove
appThm
absThm
appThm
appThm
nil
2303
ref
2321
remove
nil
cons
cons
185
ref
nil
cons
cons
nil
cons
cons
2319
remove
subst
eqMp
absThm
appThm
appThm
2200
ref
2201
ref
28
ref
34
ref
2293
ref
2205
remove
appTerm
2323
def
absTerm
appTerm
absTerm
2324
def
appTerm
2325
def
refl
2326
def
appThm
119
ref
748
ref
1868
ref
34
ref
34
ref
2270
ref
2201
ref
2299
ref
absTerm
2327
def
appTerm
absTerm
2328
def
142
ref
appTerm
betaConv
2329
def
absThm
appThm
appThm
2326
ref
appThm
appThm
1868
ref
34
ref
748
ref
2329
remove
appThm
2326
ref
appThm
absThm
appThm
appThm
nil
32
ref
2328
remove
nil
cons
cons
79
ref
2325
ref
nil
cons
2330
def
cons
nil
cons
2331
def
cons
nil
cons
cons
79
ref
23
ref
86
ref
1888
ref
appTerm
83
ref
appTerm
appTerm
165
ref
34
ref
86
ref
169
ref
appTerm
83
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2332
def
83
ref
appTerm
2333
def
betaConv
32
ref
168
ref
2332
ref
appTerm
2334
def
absTerm
2335
def
33
ref
appTerm
2336
def
betaConv
nil
571
ref
2335
ref
appTerm
2337
def
axiom
nil
78
ref
2337
remove
nil
cons
cons
79
ref
2336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2335
remove
nil
cons
cons
576
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2334
remove
nil
cons
cons
79
ref
2333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2332
remove
nil
cons
cons
2229
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2338
def
subst
eqMp
1868
ref
34
ref
119
ref
748
ref
2271
ref
2201
ref
2327
ref
2204
ref
appTerm
betaConv
2339
def
absThm
appThm
appThm
2326
ref
appThm
appThm
2271
ref
2201
ref
748
ref
2339
remove
appThm
2326
remove
appThm
absThm
appThm
appThm
nil
"p"
2198
remove
var
2340
def
2327
remove
nil
cons
cons
2331
remove
cons
nil
cons
cons
2264
ref
2338
ref
subst
subst
eqMp
absThm
appThm
trans
trans
appThm
119
ref
793
ref
2271
ref
2201
ref
2201
ref
165
ref
34
ref
2295
remove
2299
ref
appTerm
2341
def
absTerm
2342
def
appTerm
absTerm
2343
def
2204
ref
appTerm
betaConv
2344
def
absThm
appThm
appThm
165
ref
34
ref
2270
ref
2201
ref
86
ref
2299
ref
appTerm
2325
ref
appTerm
absTerm
2345
def
appTerm
absTerm
2346
def
appTerm
2347
def
refl
2348
def
appThm
appThm
2271
ref
2201
ref
793
ref
2344
remove
appThm
2348
remove
appThm
absThm
appThm
appThm
nil
2340
remove
2343
remove
nil
cons
cons
79
ref
2347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2264
ref
79
ref
23
ref
784
ref
1888
remove
appTerm
2349
def
83
ref
appTerm
appTerm
165
ref
34
ref
784
ref
169
remove
appTerm
2350
def
83
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2351
def
83
remove
appTerm
2352
def
betaConv
32
ref
168
ref
2351
ref
appTerm
2353
def
absTerm
2354
def
33
ref
appTerm
2355
def
betaConv
nil
571
ref
2354
ref
appTerm
2356
def
axiom
nil
78
ref
2356
remove
nil
cons
cons
79
ref
2355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2354
remove
nil
cons
cons
576
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2353
remove
nil
cons
cons
79
ref
2352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2351
remove
nil
cons
cons
2229
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
2271
ref
2201
ref
119
ref
793
ref
1868
ref
34
ref
2342
ref
142
ref
appTerm
betaConv
2357
def
absThm
appThm
appThm
1868
ref
34
ref
2346
ref
142
ref
appTerm
betaConv
2358
def
absThm
appThm
appThm
appThm
1868
ref
34
ref
793
ref
2357
remove
appThm
2358
remove
appThm
absThm
appThm
appThm
nil
32
ref
2342
remove
nil
cons
cons
2306
ref
2346
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2306
ref
23
ref
2349
remove
2310
ref
appTerm
appTerm
165
ref
34
ref
2350
remove
2308
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2359
def
2307
ref
appTerm
2360
def
betaConv
32
ref
571
ref
2359
ref
appTerm
2361
def
absTerm
2362
def
33
remove
appTerm
2363
def
betaConv
nil
571
ref
2362
ref
appTerm
2364
def
axiom
nil
78
ref
2364
remove
nil
cons
cons
79
ref
2363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2362
remove
nil
cons
cons
576
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2361
remove
nil
cons
cons
79
ref
2360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2359
remove
nil
cons
cons
2317
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
1868
ref
34
ref
119
ref
784
ref
2341
ref
appTerm
2365
def
refl
2366
def
2271
ref
2201
ref
2345
ref
2204
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
2271
remove
"y'"
1870
ref
var
2367
def
2366
remove
2345
ref
2367
ref
varTerm
2368
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
2303
ref
2345
remove
nil
cons
cons
78
ref
2341
remove
nil
cons
2369
def
cons
2370
def
nil
cons
cons
nil
cons
cons
2264
ref
2306
ref
23
ref
1814
ref
2310
remove
appTerm
appTerm
165
ref
34
ref
1814
ref
2308
remove
appTerm
absTerm
2371
def
appTerm
appTerm
absTerm
2372
def
2307
ref
appTerm
2373
def
betaConv
78
ref
571
ref
2372
ref
appTerm
2374
def
absTerm
2375
def
81
ref
appTerm
2376
def
betaConv
nil
168
ref
2375
ref
appTerm
2377
def
axiom
nil
78
ref
2377
remove
nil
cons
cons
79
ref
2376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2375
remove
nil
cons
cons
1774
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2374
remove
nil
cons
cons
79
ref
2373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2372
remove
nil
cons
cons
2317
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2378
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
2214
remove
assume
eqMp
nil
78
ref
2270
ref
2201
ref
165
ref
34
ref
2270
remove
2367
ref
2365
remove
86
ref
2297
remove
282
ref
2203
ref
2368
ref
appTerm
2379
def
appTerm
2380
def
appTerm
2381
def
appTerm
2325
remove
appTerm
2382
def
appTerm
2383
def
absTerm
2384
def
appTerm
2385
def
absTerm
2386
def
appTerm
2387
def
absTerm
2388
def
appTerm
2389
def
nil
cons
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2262
ref
2201
ref
80
ref
2388
ref
2204
ref
appTerm
2390
def
appTerm
318
ref
appTerm
2391
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2264
ref
43
ref
subst
2392
def
subst
2201
ref
nil
45
ref
2391
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2390
ref
nil
cons
2393
def
cons
326
ref
cons
nil
cons
cons
2394
def
97
ref
subst
2394
remove
146
ref
subst
2390
ref
betaConv
2390
remove
assume
eqMp
nil
78
ref
2387
ref
nil
cons
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
29
ref
34
ref
80
ref
2386
ref
142
ref
appTerm
2395
def
appTerm
318
ref
appTerm
2396
def
absTerm
2397
def
nil
cons
cons
nil
cons
nil
cons
cons
43
ref
subst
34
ref
nil
45
ref
2396
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2395
ref
nil
cons
2398
def
cons
326
ref
cons
nil
cons
cons
2399
def
97
ref
subst
2399
remove
146
ref
subst
2395
ref
betaConv
2395
remove
assume
eqMp
nil
78
ref
2385
ref
nil
cons
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2262
ref
2367
ref
80
ref
2384
ref
2368
ref
appTerm
2400
def
appTerm
318
ref
appTerm
2401
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2392
remove
subst
2367
remove
nil
45
ref
2401
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2400
ref
nil
cons
2402
def
cons
326
ref
cons
nil
cons
cons
2403
def
97
ref
subst
2403
remove
146
ref
subst
2400
ref
betaConv
2400
remove
assume
eqMp
nil
78
ref
2383
remove
nil
cons
2404
def
cons
326
ref
cons
nil
cons
cons
2405
def
137
ref
subst
proveHyp
2405
ref
97
ref
subst
2405
remove
146
ref
subst
nil
78
ref
2382
remove
nil
cons
2406
def
cons
326
ref
cons
nil
cons
cons
2407
def
97
ref
subst
2407
remove
146
ref
subst
nil
"_14620"
1870
ref
var
2408
def
2368
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
116
ref
2381
remove
nil
cons
cons
117
ref
2330
ref
cons
nil
cons
cons
nil
cons
cons
2409
def
131
ref
subst
2410
def
nil
116
ref
144
remove
cons
2411
def
117
ref
2380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2412
def
131
ref
subst
proveHyp
nil
185
ref
79
ref
2203
ref
2408
remove
varTerm
2413
def
appTerm
2414
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_14621"
25
ref
var
2415
def
190
ref
cons
nil
cons
nil
cons
cons
nil
"b"
2
ref
var
2416
def
282
ref
30
ref
2415
remove
varTerm
2417
def
appTerm
2418
def
appTerm
nil
cons
2419
def
cons
"a"
2
ref
var
2420
def
2202
ref
2417
ref
appTerm
2413
ref
appTerm
2421
def
nil
cons
2422
def
cons
nil
cons
cons
nil
cons
cons
nil
78
ref
23
ref
2420
ref
varTerm
2423
def
appTerm
2424
def
318
ref
appTerm
2425
def
nil
cons
2426
def
cons
2427
def
79
ref
23
ref
784
ref
2423
ref
appTerm
2416
ref
varTerm
2428
def
appTerm
appTerm
80
ref
282
ref
2428
ref
appTerm
2429
def
appTerm
2430
def
2423
ref
appTerm
appTerm
nil
cons
2431
def
cons
nil
cons
2432
def
cons
nil
cons
cons
2433
def
97
ref
subst
2433
remove
146
ref
subst
23
ref
"_606"
2
ref
var
2434
def
23
ref
784
ref
2434
remove
varTerm
2435
def
appTerm
2428
ref
appTerm
appTerm
2430
ref
2435
remove
appTerm
appTerm
absTerm
2436
def
2423
ref
appTerm
2437
def
appTerm
refl
2438
def
2436
ref
318
ref
appTerm
betaConv
appThm
119
ref
2437
remove
betaConv
appThm
2439
def
23
ref
800
remove
2428
ref
appTerm
appTerm
2430
ref
318
ref
appTerm
appTerm
refl
appThm
trans
2436
remove
refl
2440
def
2425
remove
assume
2441
def
appThm
eqMp
sym
119
ref
nil
45
ref
2428
ref
nil
cons
2442
def
cons
nil
cons
nil
cons
cons
2443
def
804
ref
subst
appThm
nil
45
ref
2429
ref
nil
cons
2444
def
cons
nil
cons
nil
cons
cons
2445
def
1517
ref
subst
2443
ref
1772
ref
subst
trans
appThm
nil
252
ref
2442
remove
cons
nil
cons
nil
cons
cons
580
ref
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
2426
ref
cons
2446
def
117
ref
2431
ref
cons
nil
cons
2447
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
2424
remove
35
ref
appTerm
2448
def
nil
cons
2449
def
cons
2450
def
2432
remove
cons
nil
cons
cons
2451
def
97
ref
subst
2451
remove
146
ref
subst
2438
remove
"_604"
2
ref
var
2452
def
23
ref
784
ref
2452
remove
varTerm
2453
def
appTerm
2428
ref
appTerm
appTerm
2430
ref
2453
remove
appTerm
appTerm
absTerm
35
ref
appTerm
betaConv
appThm
2439
remove
23
ref
1590
remove
2428
ref
appTerm
appTerm
2430
remove
35
ref
appTerm
appTerm
refl
appThm
trans
2440
remove
2448
remove
assume
2454
def
appThm
eqMp
sym
119
ref
2443
ref
1594
ref
subst
appThm
2445
ref
45
ref
23
ref
520
remove
35
ref
appTerm
appTerm
35
ref
appTerm
absTerm
2455
def
46
remove
appTerm
2456
def
betaConv
nil
168
ref
2455
ref
appTerm
2457
def
axiom
nil
78
ref
2457
remove
nil
cons
cons
79
ref
2456
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2455
remove
nil
cons
cons
254
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2458
def
subst
appThm
1577
ref
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
116
ref
2449
remove
cons
2459
def
2447
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
1860
remove
2423
ref
appTerm
2460
def
betaConv
1863
remove
nil
1864
remove
79
ref
2460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
1865
remove
252
ref
2423
ref
nil
cons
2461
def
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2462
def
nil
2459
ref
117
ref
2426
remove
cons
2463
def
829
ref
2431
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
2464
def
subst
327
ref
nil
2420
ref
2418
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
45
ref
2461
remove
cons
nil
cons
nil
cons
cons
1772
remove
subst
2465
def
subst
appThm
2421
remove
refl
appThm
trans
nil
79
ref
2422
remove
cons
78
ref
2419
remove
cons
nil
cons
cons
nil
cons
cons
nil
904
ref
112
remove
cons
905
ref
109
remove
cons
nil
cons
cons
nil
cons
cons
904
remove
23
ref
910
remove
appTerm
784
ref
909
ref
appTerm
908
ref
appTerm
appTerm
absTerm
2466
def
909
remove
appTerm
2467
def
betaConv
905
remove
168
ref
2466
ref
appTerm
2468
def
absTerm
2469
def
908
remove
appTerm
2470
def
betaConv
nil
168
ref
2469
ref
appTerm
2471
def
axiom
nil
78
ref
2471
remove
nil
cons
cons
79
ref
2470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2469
remove
nil
cons
cons
919
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2468
remove
nil
cons
cons
79
ref
2467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2466
remove
nil
cons
cons
920
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
2472
def
subst
34
ref
2293
remove
2414
remove
appTerm
absTerm
2473
def
2417
ref
appTerm
2474
def
betaConv
2324
ref
2413
ref
appTerm
2475
def
betaConv
2409
remove
339
ref
subst
nil
78
ref
2330
remove
cons
79
ref
2475
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
2263
ref
2262
ref
2324
remove
nil
cons
cons
"x"
1870
ref
var
2476
def
2413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
28
ref
2473
ref
appTerm
nil
cons
cons
79
ref
2474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
2473
remove
nil
cons
cons
34
ref
2417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
78
ref
2379
remove
nil
cons
cons
2477
def
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2477
remove
nil
cons
nil
cons
cons
1808
ref
subst
2410
remove
2412
remove
339
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
116
ref
2406
ref
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
2370
remove
326
ref
cons
nil
cons
cons
2478
def
97
ref
subst
2478
remove
146
ref
subst
nil
"_14619"
1870
remove
var
2479
def
2204
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
116
ref
2304
remove
cons
117
ref
2299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2480
def
339
ref
subst
2481
def
nil
2411
remove
117
ref
2298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2482
def
131
ref
subst
proveHyp
nil
185
remove
79
ref
2203
remove
2479
remove
varTerm
2483
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_14618"
25
ref
var
2484
def
190
remove
cons
nil
cons
nil
cons
cons
nil
2416
ref
282
ref
30
ref
2484
remove
varTerm
2485
def
appTerm
2486
def
appTerm
2487
def
nil
cons
2488
def
cons
2420
ref
2202
remove
2485
ref
appTerm
2489
def
2483
ref
appTerm
2490
def
nil
cons
2491
def
cons
nil
cons
cons
nil
cons
cons
2464
remove
subst
327
ref
nil
2420
ref
2486
remove
nil
cons
cons
nil
cons
nil
cons
cons
2465
remove
subst
appThm
2490
remove
refl
appThm
trans
nil
79
ref
2491
remove
cons
78
ref
2488
remove
cons
nil
cons
cons
nil
cons
cons
2472
remove
subst
2201
ref
784
ref
2487
remove
appTerm
2489
remove
2204
remove
appTerm
appTerm
absTerm
2492
def
2483
ref
appTerm
2493
def
betaConv
34
ref
2200
ref
2201
ref
2323
remove
absTerm
appTerm
absTerm
2494
def
2485
ref
appTerm
2495
def
betaConv
2237
ref
34
ref
119
ref
793
ref
1884
ref
refl
appThm
2496
def
2292
ref
2201
ref
2291
ref
absThm
appThm
appThm
appThm
2292
remove
2201
remove
2496
remove
2291
remove
appThm
absThm
appThm
appThm
nil
2303
remove
2290
remove
cons
78
ref
1884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2264
remove
2306
ref
23
ref
1814
remove
28
ref
2309
remove
appTerm
appTerm
appTerm
28
ref
2371
remove
appTerm
appTerm
absTerm
2497
def
2307
remove
appTerm
2498
def
betaConv
78
ref
571
ref
2497
ref
appTerm
2499
def
absTerm
2500
def
81
remove
appTerm
2501
def
betaConv
nil
168
ref
2500
ref
appTerm
2502
def
axiom
nil
78
ref
2502
remove
nil
cons
cons
79
ref
2501
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
ref
2500
remove
nil
cons
cons
1774
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2499
remove
nil
cons
cons
79
ref
2498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
ref
574
ref
2497
remove
nil
cons
cons
2317
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
2480
remove
131
ref
subst
eqMp
nil
78
ref
28
ref
2494
ref
appTerm
nil
cons
cons
79
ref
2495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
2494
remove
nil
cons
cons
34
ref
2485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2200
ref
2492
ref
appTerm
nil
cons
cons
79
ref
2493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
2263
ref
2262
ref
2492
remove
nil
cons
cons
2476
ref
2483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
78
ref
2272
remove
cons
2503
def
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2503
remove
nil
cons
nil
cons
cons
1808
ref
subst
2481
remove
2482
remove
339
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
116
ref
2369
remove
cons
2504
def
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
2504
remove
117
ref
2406
remove
cons
829
ref
325
remove
cons
nil
cons
2505
def
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
eqMp
nil
116
ref
2404
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2402
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
2200
ref
2476
ref
80
ref
2384
ref
2476
ref
varTerm
2506
def
appTerm
appTerm
318
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
2385
remove
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
2263
ref
2262
ref
2384
remove
nil
cons
cons
1555
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
2398
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
28
ref
2397
remove
appTerm
nil
cons
cons
79
ref
80
ref
2387
remove
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
2386
remove
nil
cons
cons
1555
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
2393
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
2200
remove
2476
remove
80
ref
2388
ref
2506
remove
appTerm
appTerm
318
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
2389
remove
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
2263
remove
2262
remove
2388
remove
nil
cons
cons
1555
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
2215
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
subst
2507
def
subst
eqMp
549
ref
2181
ref
119
ref
549
ref
2177
ref
2193
ref
549
ref
154
ref
2177
ref
2186
ref
absTerm
2508
def
2178
ref
appTerm
betaConv
2509
def
1569
ref
appThm
2186
ref
158
ref
appTerm
betaConv
trans
absThm
appThm
appThm
absThm
appThm
appThm
549
ref
"n'"
1
ref
var
2510
def
549
ref
2177
ref
2193
ref
2509
remove
2510
ref
varTerm
2511
def
refl
appThm
2186
remove
2511
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
2196
ref
2197
ref
2508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2507
ref
subst
eqMp
549
ref
2510
ref
119
ref
549
ref
2177
ref
2193
remove
80
ref
2182
remove
2184
ref
2184
remove
2511
ref
appTerm
appTerm
2512
def
appTerm
appTerm
2185
remove
2511
ref
appTerm
2513
def
appTerm
refl
appThm
absThm
appThm
appThm
327
ref
2192
remove
2512
ref
appTerm
betaConv
appThm
2513
ref
refl
appThm
appThm
nil
2196
remove
117
ref
2513
ref
nil
cons
cons
"e"
1
ref
var
2514
def
2512
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
18
remove
nil
78
ref
23
ref
28
ref
"m"
25
ref
var
2515
def
80
ref
30
ref
2515
ref
varTerm
2516
def
appTerm
2517
def
appTerm
2518
def
80
ref
258
ref
2516
ref
appTerm
"e"
25
ref
var
2519
def
varTerm
2520
def
appTerm
2521
def
appTerm
122
ref
appTerm
appTerm
absTerm
appTerm
appTerm
80
ref
30
ref
2520
ref
appTerm
2522
def
appTerm
122
ref
appTerm
appTerm
2523
def
nil
cons
cons
nil
cons
nil
cons
cons
1775
ref
subst
sym
2524
def
29
ref
80
ref
282
ref
2523
ref
appTerm
appTerm
318
ref
appTerm
absTerm
2525
def
30
ref
appTerm
2526
def
betaConv
2519
ref
571
ref
2525
ref
appTerm
2527
def
absTerm
2528
def
2520
ref
appTerm
2529
def
betaConv
117
ref
28
ref
2528
ref
appTerm
2530
def
absTerm
2531
def
122
ref
appTerm
2532
def
betaConv
168
ref
refl
2533
def
117
ref
2237
ref
2519
ref
571
ref
refl
2534
def
29
ref
2524
remove
absThm
appThm
absThm
appThm
absThm
appThm
119
ref
2533
remove
117
ref
117
ref
28
ref
2519
ref
571
ref
29
ref
2523
remove
absTerm
appTerm
absTerm
appTerm
absTerm
2535
def
122
remove
appTerm
betaConv
absThm
appThm
appThm
748
ref
2535
ref
35
ref
appTerm
betaConv
appThm
2535
ref
318
ref
appTerm
betaConv
appThm
appThm
nil
"p"
20
ref
var
2536
def
2535
remove
nil
cons
cons
nil
cons
nil
cons
cons
2536
ref
23
ref
168
ref
2416
ref
2536
remove
varTerm
2537
def
2428
ref
appTerm
absTerm
appTerm
appTerm
86
ref
2537
ref
35
ref
appTerm
appTerm
2537
ref
318
ref
appTerm
appTerm
appTerm
absTerm
2538
def
2537
ref
appTerm
2539
def
betaConv
nil
24
ref
0
ref
104
ref
3
ref
cons
opType
constTerm
2538
ref
appTerm
2540
def
axiom
nil
78
ref
2540
remove
nil
cons
cons
79
ref
2539
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
"A"
21
remove
cons
nil
cons
"P"
104
remove
var
2538
remove
nil
cons
cons
"x"
20
remove
var
2537
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
748
ref
2237
ref
2519
ref
2534
ref
29
ref
119
ref
2237
ref
2515
ref
2518
ref
refl
2541
def
nil
45
ref
2521
ref
nil
cons
2542
def
cons
nil
cons
nil
cons
cons
2543
def
2458
ref
subst
appThm
nil
45
ref
2517
ref
nil
cons
2544
def
cons
nil
cons
nil
cons
cons
2458
ref
subst
trans
absThm
appThm
581
ref
585
ref
subst
2545
def
trans
appThm
nil
45
ref
2522
ref
nil
cons
2546
def
cons
nil
cons
nil
cons
cons
2547
def
2458
remove
subst
appThm
1577
ref
trans
absThm
appThm
581
remove
573
ref
17
ref
cons
2548
def
585
remove
subst
subst
trans
absThm
appThm
2545
remove
trans
appThm
2237
ref
2519
ref
2534
remove
29
ref
119
ref
2237
ref
2515
ref
2541
remove
2543
remove
1517
ref
subst
appThm
absThm
appThm
appThm
2547
remove
1517
remove
subst
appThm
absThm
appThm
absThm
appThm
appThm
nil
45
ref
28
ref
2519
ref
571
remove
29
ref
23
ref
28
ref
2515
ref
2518
remove
282
ref
2521
ref
appTerm
2549
def
appTerm
absTerm
2550
def
appTerm
2551
def
appTerm
282
ref
2522
ref
appTerm
2552
def
appTerm
2553
def
absTerm
2554
def
appTerm
2555
def
absTerm
2556
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
818
ref
subst
trans
trans
trans
sym
nil
29
ref
2556
remove
nil
cons
cons
nil
cons
nil
cons
cons
43
ref
subst
2519
remove
nil
45
ref
2555
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
574
ref
2554
remove
nil
cons
cons
nil
cons
nil
cons
cons
2548
remove
43
ref
subst
subst
29
ref
nil
45
ref
2553
ref
nil
cons
2557
def
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2557
remove
cons
nil
cons
nil
cons
cons
1775
remove
subst
sym
nil
78
ref
282
ref
2553
remove
appTerm
2558
def
nil
cons
2559
def
cons
326
ref
cons
nil
cons
cons
2560
def
97
ref
subst
2560
remove
146
ref
subst
nil
78
ref
2551
remove
nil
cons
cons
79
ref
2552
ref
nil
cons
2561
def
cons
nil
cons
2562
def
cons
nil
cons
cons
2236
remove
subst
793
remove
748
ref
2237
remove
2515
ref
nil
78
ref
2544
ref
cons
79
ref
2549
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2563
def
2261
remove
subst
absThm
appThm
appThm
nil
78
ref
2546
ref
cons
2564
def
nil
cons
nil
cons
cons
2565
def
1773
ref
subst
appThm
appThm
748
ref
nil
29
ref
2550
ref
nil
cons
cons
nil
cons
nil
cons
cons
2268
remove
subst
1868
ref
2515
ref
283
ref
2550
remove
2516
ref
appTerm
betaConv
appThm
2563
remove
2288
remove
subst
748
ref
2517
ref
refl
appThm
nil
78
ref
2542
ref
cons
nil
cons
nil
cons
cons
1773
remove
subst
appThm
trans
trans
absThm
appThm
trans
appThm
2552
ref
refl
2566
def
appThm
appThm
trans
784
ref
86
ref
28
ref
2515
ref
784
ref
282
ref
2517
ref
appTerm
appTerm
2549
remove
appTerm
absTerm
2567
def
appTerm
2568
def
appTerm
2522
ref
appTerm
2569
def
appTerm
2570
def
refl
2571
def
119
ref
748
ref
1868
ref
2515
ref
2515
ref
86
ref
2517
remove
appTerm
2521
remove
appTerm
2572
def
absTerm
2573
def
2516
ref
appTerm
betaConv
2574
def
absThm
appThm
appThm
2566
ref
appThm
appThm
1868
ref
2515
ref
748
ref
2574
remove
appThm
2566
remove
appThm
absThm
appThm
appThm
nil
32
remove
2573
remove
nil
cons
cons
2562
remove
cons
nil
cons
cons
2338
remove
subst
eqMp
appThm
119
ref
2571
ref
1868
ref
2515
ref
2515
ref
86
ref
2572
ref
appTerm
2552
remove
appTerm
2575
def
absTerm
2576
def
2516
ref
appTerm
betaConv
2577
def
absThm
appThm
appThm
appThm
1868
remove
2515
ref
2571
remove
2577
remove
appThm
absThm
appThm
appThm
nil
2306
remove
2576
remove
nil
cons
cons
78
ref
2569
remove
nil
cons
2578
def
cons
2579
def
nil
cons
cons
nil
cons
cons
2378
remove
subst
eqMp
trans
trans
2558
remove
assume
eqMp
nil
78
ref
165
remove
2515
ref
2570
remove
2575
ref
appTerm
2580
def
absTerm
2581
def
appTerm
2582
def
nil
cons
cons
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
29
ref
2515
ref
80
ref
2581
ref
2516
ref
appTerm
2583
def
appTerm
318
ref
appTerm
2584
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
43
ref
subst
2515
remove
nil
45
ref
2584
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2583
ref
nil
cons
2585
def
cons
326
ref
cons
nil
cons
cons
2586
def
97
ref
subst
2586
remove
146
ref
subst
2583
ref
betaConv
2583
remove
assume
eqMp
nil
78
ref
2580
remove
nil
cons
2587
def
cons
326
ref
cons
nil
cons
cons
2588
def
137
ref
subst
proveHyp
2588
ref
97
ref
subst
2588
remove
146
ref
subst
nil
78
ref
2575
remove
nil
cons
2589
def
cons
326
ref
cons
nil
cons
cons
2590
def
97
ref
subst
2590
remove
146
ref
subst
23
ref
"_14627"
25
ref
var
2591
def
30
ref
2591
remove
varTerm
appTerm
absTerm
2592
def
2516
remove
appTerm
2593
def
appTerm
refl
2592
remove
2520
ref
appTerm
betaConv
appThm
119
ref
2593
remove
betaConv
appThm
2522
ref
refl
appThm
trans
34
ref
143
remove
absTerm
refl
nil
116
ref
2572
remove
nil
cons
cons
117
ref
2561
remove
cons
nil
cons
cons
nil
cons
cons
2594
def
131
ref
subst
2595
def
nil
116
ref
2544
remove
cons
117
ref
2542
remove
cons
nil
cons
cons
nil
cons
cons
2596
def
339
ref
subst
proveHyp
appThm
eqMp
2595
remove
2596
remove
131
ref
subst
proveHyp
eqMp
nil
2564
ref
326
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
2565
remove
1808
ref
subst
2594
remove
339
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
2589
ref
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
2579
remove
326
ref
cons
nil
cons
cons
2597
def
97
ref
subst
2597
remove
146
ref
subst
nil
116
ref
2568
remove
nil
cons
2598
def
cons
117
ref
2546
remove
cons
nil
cons
cons
nil
cons
cons
2599
def
339
remove
subst
nil
2564
remove
79
ref
258
ref
2520
ref
appTerm
2520
ref
appTerm
2600
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
146
ref
subst
proveHyp
nil
34
ref
2520
ref
nil
cons
2601
def
cons
nil
cons
2602
def
nil
cons
cons
147
remove
subst
eqMp
nil
78
ref
86
ref
2522
remove
appTerm
2600
remove
appTerm
nil
cons
cons
326
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_14622"
25
remove
var
2603
def
2601
remove
cons
nil
cons
nil
cons
cons
nil
2416
remove
258
remove
2603
remove
varTerm
2604
def
appTerm
2520
remove
appTerm
2605
def
nil
cons
cons
2420
remove
30
remove
2604
ref
appTerm
2606
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
2427
remove
79
ref
23
ref
784
ref
282
ref
2423
ref
appTerm
appTerm
2429
ref
appTerm
appTerm
282
ref
86
ref
2423
ref
appTerm
2428
ref
appTerm
appTerm
appTerm
nil
cons
2607
def
cons
nil
cons
2608
def
cons
nil
cons
cons
2609
def
97
ref
subst
2609
remove
146
ref
subst
23
ref
"_614"
2
ref
var
2610
def
23
ref
784
ref
282
ref
2610
remove
varTerm
2611
def
appTerm
appTerm
2429
ref
appTerm
appTerm
282
ref
86
ref
2611
remove
appTerm
2428
ref
appTerm
appTerm
appTerm
absTerm
2612
def
2423
remove
appTerm
2613
def
appTerm
refl
2614
def
2612
ref
318
ref
appTerm
betaConv
appThm
119
ref
2613
remove
betaConv
appThm
2615
def
23
ref
2249
remove
2429
ref
appTerm
appTerm
282
ref
1848
remove
2428
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2612
remove
refl
2616
def
2441
remove
appThm
eqMp
sym
119
ref
2252
remove
2429
ref
refl
2617
def
appThm
2445
ref
1594
remove
subst
trans
appThm
283
ref
2443
ref
1852
remove
subst
appThm
353
ref
trans
appThm
1577
remove
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
2446
remove
117
ref
2607
ref
cons
nil
cons
2618
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
2450
remove
2608
remove
cons
nil
cons
cons
2619
def
97
ref
subst
2619
remove
146
ref
subst
2614
remove
"_612"
2
remove
var
2620
def
23
ref
784
remove
282
ref
2620
remove
varTerm
2621
def
appTerm
appTerm
2429
ref
appTerm
appTerm
282
ref
86
ref
2621
remove
appTerm
2428
ref
appTerm
appTerm
appTerm
absTerm
35
remove
appTerm
betaConv
appThm
2615
remove
23
ref
2258
remove
2429
remove
appTerm
appTerm
282
remove
814
remove
2428
remove
appTerm
appTerm
appTerm
refl
appThm
trans
2616
remove
2454
remove
appThm
eqMp
sym
119
ref
2260
remove
2617
remove
appThm
2445
remove
804
remove
subst
trans
appThm
283
ref
2443
remove
818
ref
subst
appThm
appThm
nil
252
ref
2444
remove
cons
nil
cons
nil
cons
cons
580
remove
subst
trans
sym
49
ref
eqMp
eqMp
eqMp
nil
2459
ref
2618
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
2462
remove
nil
2459
remove
2463
remove
829
ref
2607
remove
cons
nil
cons
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
78
ref
86
remove
2606
remove
appTerm
2605
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1808
remove
subst
trans
2567
ref
2604
ref
appTerm
2622
def
betaConv
2599
remove
131
ref
subst
nil
78
ref
2598
remove
cons
79
ref
2622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
2567
remove
nil
cons
cons
34
ref
2604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
116
ref
2578
remove
cons
2623
def
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
2623
remove
117
ref
2589
remove
cons
2505
remove
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
eqMp
nil
116
ref
2587
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2585
remove
cons
1555
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
28
remove
34
remove
80
ref
2581
ref
142
remove
appTerm
appTerm
318
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
2582
remove
appTerm
318
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
ref
29
ref
2581
remove
nil
cons
cons
1555
ref
cons
nil
cons
cons
470
ref
subst
eqMp
eqMp
eqMp
nil
116
ref
2559
remove
cons
1555
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
78
ref
168
remove
2531
ref
appTerm
nil
cons
cons
79
ref
2532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
172
remove
2531
remove
nil
cons
cons
469
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2530
remove
nil
cons
cons
79
ref
2529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
189
remove
29
remove
2528
remove
nil
cons
cons
2602
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2527
remove
nil
cons
cons
79
ref
2526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
573
remove
574
remove
2525
remove
nil
cons
cons
575
remove
1869
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
2624
def
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
2153
ref
refl
2625
def
appThm
sym
nil
78
ref
73
ref
2181
ref
73
ref
2510
ref
80
ref
927
ref
2512
remove
appTerm
2626
def
2179
ref
appTerm
appTerm
2513
ref
appTerm
absTerm
2627
def
appTerm
2628
def
absTerm
2629
def
appTerm
2630
def
nil
cons
2631
def
cons
2632
def
79
ref
2176
ref
cons
nil
cons
2633
def
cons
nil
cons
cons
2634
def
97
ref
subst
2634
remove
146
ref
subst
nil
78
ref
408
remove
nil
cons
2635
def
cons
2636
def
2633
ref
cons
nil
cons
cons
2637
def
97
ref
subst
2637
remove
146
ref
subst
327
ref
1741
remove
appThm
2625
ref
appThm
sym
nil
78
ref
1448
ref
nil
cons
2638
def
cons
2633
ref
cons
nil
cons
cons
2639
def
97
ref
subst
2639
remove
146
ref
subst
748
remove
nil
45
ref
2638
ref
cons
nil
cons
nil
cons
cons
50
ref
subst
1448
remove
assume
eqMp
2640
def
appThm
2150
ref
refl
appThm
nil
45
ref
2150
remove
nil
cons
2641
def
cons
nil
cons
nil
cons
cons
818
remove
subst
trans
sym
927
ref
refl
nil
154
ref
1779
ref
nil
cons
cons
2642
def
205
remove
cons
nil
cons
cons
1780
ref
158
ref
appTerm
2643
def
betaConv
1782
remove
207
ref
appTerm
2644
def
betaConv
1784
remove
nil
1786
remove
79
ref
2644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
1795
remove
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
1781
remove
nil
cons
cons
79
ref
2643
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
1780
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2645
def
subst
appThm
2179
ref
refl
2646
def
appThm
sym
927
ref
491
ref
1779
ref
appTerm
158
ref
appTerm
appTerm
refl
nil
641
ref
162
ref
cons
154
ref
214
ref
cons
nil
cons
2647
def
cons
nil
cons
cons
641
ref
60
ref
510
ref
1665
ref
645
ref
appTerm
appTerm
appTerm
491
ref
511
ref
appTerm
645
ref
appTerm
appTerm
absTerm
2648
def
645
ref
appTerm
2649
def
betaConv
154
ref
73
ref
2648
ref
appTerm
2650
def
absTerm
2651
def
158
ref
appTerm
2652
def
betaConv
203
ref
73
ref
2651
ref
appTerm
2653
def
absTerm
2654
def
207
ref
appTerm
2655
def
betaConv
nil
73
ref
2654
ref
appTerm
2656
def
axiom
nil
78
ref
2656
remove
nil
cons
cons
79
ref
2655
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2654
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2653
remove
nil
cons
cons
79
ref
2652
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2651
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2650
remove
nil
cons
cons
79
ref
2649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2648
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
nil
641
ref
510
ref
207
ref
appTerm
nil
cons
cons
204
remove
2642
remove
nil
cons
cons
cons
nil
cons
cons
641
ref
23
ref
927
ref
1779
ref
appTerm
1796
remove
appTerm
appTerm
1447
ref
645
ref
appTerm
2657
def
appTerm
absTerm
2658
def
645
ref
appTerm
2659
def
betaConv
154
ref
73
ref
2658
ref
appTerm
2660
def
absTerm
2661
def
158
ref
appTerm
2662
def
betaConv
203
ref
73
ref
2661
ref
appTerm
2663
def
absTerm
2664
def
207
ref
appTerm
2665
def
betaConv
nil
73
ref
2664
ref
appTerm
2666
def
axiom
nil
78
ref
2666
remove
nil
cons
cons
79
ref
2665
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2664
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2663
remove
nil
cons
cons
79
ref
2662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2661
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2660
remove
nil
cons
cons
79
ref
2659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2658
remove
nil
cons
cons
667
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2667
def
subst
nil
641
ref
214
ref
cons
nil
cons
nil
cons
cons
2667
remove
subst
2640
remove
trans
trans
trans
sym
49
ref
eqMp
eqMp
nil
78
ref
927
ref
1665
remove
1779
remove
appTerm
appTerm
2179
ref
appTerm
nil
cons
cons
79
ref
2641
remove
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2510
ref
214
ref
cons
2181
ref
162
remove
cons
nil
cons
cons
nil
cons
cons
2627
ref
2511
ref
appTerm
2668
def
betaConv
2629
ref
2183
ref
appTerm
2669
def
betaConv
nil
2632
remove
79
ref
2669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
2629
remove
nil
cons
cons
138
ref
2183
ref
nil
cons
cons
nil
cons
2670
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2628
remove
nil
cons
cons
79
ref
2668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2627
remove
nil
cons
cons
138
ref
2511
ref
nil
cons
cons
nil
cons
2671
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
78
ref
2151
remove
nil
cons
cons
2633
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
2154
ref
158
ref
appTerm
2672
def
betaConv
2156
ref
207
ref
appTerm
2673
def
betaConv
nil
78
ref
2173
remove
cons
79
ref
2673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
2156
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2155
remove
nil
cons
cons
79
ref
2672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2154
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
2638
remove
cons
117
ref
2176
ref
cons
2674
def
nil
cons
2675
def
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
327
ref
154
ref
23
ref
874
ref
appTerm
58
remove
1744
ref
487
remove
510
ref
1745
ref
appTerm
2676
def
appTerm
2677
def
absTerm
2678
def
appTerm
2679
def
appTerm
absTerm
2680
def
158
ref
appTerm
2681
def
betaConv
203
ref
73
ref
2680
ref
appTerm
2682
def
absTerm
2683
def
207
ref
appTerm
2684
def
betaConv
nil
73
ref
2683
ref
appTerm
2685
def
axiom
nil
78
ref
2685
remove
nil
cons
cons
79
ref
2684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2683
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2682
remove
nil
cons
cons
79
ref
2681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2680
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
appThm
2625
ref
appThm
sym
nil
5
ref
1744
ref
80
ref
2678
ref
1745
ref
appTerm
2686
def
appTerm
2153
ref
appTerm
2687
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
44
remove
subst
1744
remove
nil
45
ref
2687
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
ref
subst
nil
78
ref
2686
ref
nil
cons
2688
def
cons
2633
ref
cons
nil
cons
cons
2689
def
97
ref
subst
2689
remove
146
ref
subst
2686
ref
betaConv
2686
remove
assume
eqMp
nil
78
ref
2677
ref
nil
cons
2690
def
cons
2633
ref
cons
nil
cons
cons
2691
def
137
ref
subst
proveHyp
2691
ref
97
ref
subst
2691
remove
146
ref
subst
23
ref
"_29312"
1
ref
var
2692
def
2152
ref
2692
remove
varTerm
appTerm
absTerm
2693
def
158
ref
appTerm
2694
def
appTerm
refl
2693
remove
2676
ref
appTerm
betaConv
appThm
119
ref
2694
remove
betaConv
appThm
2152
ref
2676
ref
appTerm
refl
appThm
trans
2165
remove
refl
2677
remove
assume
2695
def
appThm
eqMp
sym
2152
ref
refl
nil
1755
remove
nil
cons
2696
def
nil
cons
cons
2697
def
2645
remove
subst
appThm
sym
nil
641
ref
510
ref
2676
ref
appTerm
2698
def
nil
cons
cons
154
ref
2676
ref
nil
cons
2699
def
cons
nil
cons
cons
nil
cons
cons
641
ref
23
ref
927
ref
511
ref
appTerm
1718
remove
appTerm
appTerm
2657
remove
appTerm
absTerm
2700
def
645
remove
appTerm
2701
def
betaConv
154
ref
73
ref
2700
ref
appTerm
2702
def
absTerm
2703
def
158
ref
appTerm
2704
def
betaConv
203
ref
73
ref
2703
ref
appTerm
2705
def
absTerm
2706
def
207
ref
appTerm
2707
def
betaConv
nil
73
ref
2706
ref
appTerm
2708
def
axiom
nil
78
ref
2708
remove
nil
cons
cons
79
ref
2707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2706
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2705
remove
nil
cons
cons
79
ref
2704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2703
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2702
remove
nil
cons
cons
79
ref
2701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2700
remove
nil
cons
cons
667
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2709
def
subst
nil
641
remove
2699
remove
cons
2696
remove
cons
nil
cons
cons
2709
remove
subst
trans
sym
2697
ref
154
ref
23
ref
1447
remove
511
remove
appTerm
appTerm
936
remove
207
ref
appTerm
appTerm
absTerm
2710
def
158
ref
appTerm
2711
def
betaConv
203
ref
73
ref
2710
ref
appTerm
2712
def
absTerm
2713
def
207
ref
appTerm
2714
def
betaConv
nil
73
ref
2713
ref
appTerm
2715
def
axiom
nil
78
ref
2715
remove
nil
cons
cons
79
ref
2714
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2713
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2712
remove
nil
cons
cons
79
ref
2711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2710
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
2647
remove
nil
cons
cons
940
remove
subst
trans
283
remove
nil
2636
remove
79
ref
23
ref
407
ref
appTerm
318
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
116
ref
407
ref
nil
cons
2716
def
cons
2717
def
nil
cons
nil
cons
cons
350
remove
subst
eqMp
appThm
353
remove
trans
trans
sym
49
remove
eqMp
eqMp
nil
78
ref
927
remove
2698
ref
appTerm
510
ref
2698
remove
appTerm
2718
def
appTerm
nil
cons
cons
79
ref
2152
ref
1745
ref
appTerm
nil
cons
2719
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
2510
ref
1754
remove
cons
2181
ref
214
remove
cons
nil
cons
cons
nil
cons
cons
2510
ref
80
ref
2626
ref
2718
remove
appTerm
appTerm
2513
ref
appTerm
absTerm
2720
def
2511
ref
appTerm
2721
def
betaConv
2181
ref
73
ref
2720
ref
appTerm
2722
def
absTerm
2723
def
2183
remove
appTerm
2724
def
betaConv
23
ref
"_29320"
1
ref
var
2725
def
73
ref
2181
remove
73
ref
2510
ref
80
ref
2626
remove
510
ref
510
ref
2725
remove
varTerm
appTerm
appTerm
appTerm
appTerm
2513
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2726
def
158
ref
appTerm
2727
def
appTerm
refl
2726
ref
2676
remove
appTerm
betaConv
appThm
119
ref
2727
remove
betaConv
appThm
73
ref
2723
ref
appTerm
2728
def
refl
appThm
trans
2726
remove
refl
2695
remove
appThm
eqMp
2630
remove
assume
eqMp
nil
78
ref
2728
remove
nil
cons
cons
79
ref
2724
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2723
remove
nil
cons
cons
2670
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2722
remove
nil
cons
cons
79
ref
2721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2720
remove
nil
cons
cons
2671
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
nil
78
ref
2719
remove
cons
79
ref
2152
ref
491
ref
1745
remove
appTerm
207
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
2697
remove
2158
ref
158
ref
appTerm
2729
def
betaConv
2160
ref
207
ref
appTerm
2730
def
betaConv
nil
78
ref
2174
remove
cons
79
ref
2730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
2160
remove
nil
cons
cons
215
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
2159
remove
nil
cons
cons
79
ref
2729
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2158
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
2690
remove
cons
2675
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
116
ref
2688
remove
cons
2675
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
138
ref
80
ref
2678
ref
451
remove
appTerm
appTerm
2153
ref
appTerm
absTerm
appTerm
nil
cons
cons
79
ref
80
ref
2679
remove
appTerm
2153
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2678
remove
nil
cons
cons
2675
ref
cons
nil
cons
cons
470
remove
subst
eqMp
eqMp
822
ref
874
ref
appTerm
2731
def
betaConv
825
ref
nil
826
ref
79
ref
2731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
ref
827
ref
252
ref
874
remove
nil
cons
2732
def
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
116
ref
2732
remove
cons
117
ref
1449
remove
nil
cons
cons
829
remove
2176
remove
cons
nil
cons
2733
def
cons
cons
nil
cons
cons
844
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
2635
ref
cons
2675
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
nil
78
ref
2716
ref
cons
2633
ref
cons
nil
cons
cons
2734
def
97
ref
subst
2734
remove
146
ref
subst
23
remove
"_29302"
1
ref
var
2735
def
2146
ref
2735
remove
varTerm
appTerm
158
ref
appTerm
absTerm
2736
def
207
ref
appTerm
2737
def
appTerm
refl
2736
ref
12
remove
appTerm
betaConv
appThm
119
ref
2737
remove
betaConv
appThm
2147
remove
refl
appThm
trans
2736
remove
refl
407
ref
assume
appThm
eqMp
sym
2148
ref
158
ref
appTerm
2738
def
betaConv
nil
78
ref
2171
remove
cons
79
ref
2738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
16
ref
5
ref
2148
remove
nil
cons
cons
163
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2717
ref
2675
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
822
remove
407
remove
appTerm
2739
def
betaConv
825
remove
nil
826
remove
79
ref
2739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
177
remove
827
remove
252
remove
2716
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
2717
remove
117
ref
2635
remove
cons
2733
remove
cons
cons
nil
cons
cons
844
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
116
ref
2631
remove
cons
2675
ref
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
78
ref
73
ref
2191
remove
appTerm
nil
cons
cons
2633
ref
cons
nil
cons
cons
137
ref
subst
proveHyp
327
ref
119
ref
549
ref
"_29301"
1
remove
var
2740
def
327
ref
2740
ref
73
ref
203
ref
80
ref
928
remove
2740
ref
varTerm
2741
def
appTerm
appTerm
2742
def
73
ref
2177
ref
73
ref
154
ref
80
ref
406
remove
491
remove
2178
ref
appTerm
2743
def
2743
ref
158
ref
appTerm
appTerm
appTerm
appTerm
2146
remove
2178
remove
appTerm
2744
def
158
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
2745
def
absTerm
2746
def
2741
ref
appTerm
betaConv
appThm
2747
def
549
ref
203
ref
2740
ref
203
ref
73
ref
154
ref
80
ref
60
ref
2741
ref
appTerm
2179
ref
appTerm
appTerm
2153
remove
appTerm
2748
def
absTerm
2749
def
appTerm
absTerm
2750
def
absTerm
2751
def
2741
ref
appTerm
betaConv
207
ref
refl
appThm
2750
ref
207
ref
appTerm
betaConv
trans
2752
def
absThm
appThm
appThm
absThm
appThm
appThm
549
ref
203
ref
549
ref
2740
ref
2747
ref
2752
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
5
ref
2746
ref
nil
cons
cons
2753
def
2197
ref
2751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2507
ref
subst
eqMp
549
ref
203
ref
119
ref
549
ref
2740
ref
2747
ref
549
ref
154
ref
2740
ref
2749
ref
absTerm
2754
def
2741
ref
appTerm
betaConv
1569
remove
appThm
2749
remove
158
ref
appTerm
betaConv
trans
2755
def
absThm
appThm
appThm
absThm
appThm
appThm
549
ref
154
ref
549
ref
2740
ref
2747
ref
2755
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
2753
ref
2197
remove
2754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2507
remove
subst
eqMp
549
ref
154
ref
119
remove
549
ref
2740
ref
2747
remove
2748
remove
refl
appThm
absThm
appThm
appThm
327
ref
2746
remove
2179
ref
appTerm
betaConv
appThm
2625
ref
appThm
appThm
nil
2753
remove
2674
remove
2514
remove
2179
ref
nil
cons
2756
def
cons
nil
cons
cons
cons
nil
cons
cons
2624
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
2625
remove
appThm
nil
78
ref
73
ref
2740
ref
80
ref
2745
remove
appTerm
73
ref
2750
remove
appTerm
2757
def
appTerm
absTerm
appTerm
nil
cons
2758
def
cons
2759
def
2633
ref
cons
nil
cons
cons
2760
def
97
remove
subst
2760
remove
146
remove
subst
2646
remove
nil
78
ref
60
remove
2179
ref
appTerm
2761
def
2179
ref
appTerm
nil
cons
cons
2633
remove
cons
nil
cons
cons
137
ref
subst
proveHyp
2510
ref
80
ref
2761
ref
510
ref
510
remove
2511
ref
appTerm
appTerm
appTerm
appTerm
2152
remove
2511
ref
appTerm
appTerm
absTerm
2762
def
158
remove
appTerm
2763
def
betaConv
2177
remove
73
ref
2510
remove
80
ref
2761
remove
2743
ref
2743
remove
2511
ref
appTerm
appTerm
appTerm
appTerm
2744
remove
2511
remove
appTerm
appTerm
absTerm
appTerm
absTerm
2764
def
207
ref
appTerm
2765
def
betaConv
2740
ref
2757
remove
absTerm
2766
def
2179
remove
appTerm
2767
def
betaConv
nil
2759
remove
79
ref
73
ref
2766
ref
appTerm
nil
cons
2768
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
327
ref
549
ref
2740
ref
327
remove
549
ref
203
ref
2742
remove
refl
2766
ref
207
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2766
ref
2741
remove
appTerm
betaConv
2769
def
appThm
absThm
appThm
appThm
549
remove
2740
remove
2769
remove
absThm
appThm
appThm
nil
563
ref
2766
remove
nil
cons
2770
def
cons
nil
cons
nil
cons
cons
563
remove
80
ref
73
ref
154
remove
80
ref
73
ref
203
remove
1464
remove
1218
ref
207
remove
appTerm
appTerm
absTerm
appTerm
appTerm
1219
remove
appTerm
absTerm
appTerm
appTerm
1220
remove
appTerm
absTerm
2771
def
1218
remove
appTerm
2772
def
betaConv
nil
1223
remove
2771
ref
appTerm
2773
def
axiom
nil
78
ref
2773
remove
nil
cons
cons
79
ref
2772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
1225
remove
1226
remove
2771
remove
nil
cons
cons
1227
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
78
ref
2768
remove
cons
79
ref
2767
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2770
remove
cons
138
remove
2756
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
ref
73
ref
2764
ref
appTerm
nil
cons
cons
79
ref
2765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
16
ref
5
ref
2764
remove
nil
cons
cons
215
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
78
remove
73
remove
2762
ref
appTerm
nil
cons
cons
79
remove
2763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
remove
subst
proveHyp
16
remove
5
remove
2762
remove
nil
cons
cons
163
remove
cons
nil
cons
cons
148
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
116
ref
2758
remove
cons
2675
remove
cons
nil
cons
cons
131
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
116
remove
2164
remove
cons
117
remove
2169
remove
cons
nil
cons
cons
nil
cons
cons
131
remove
subst
deductAntisym
eqMp
2774
def
subst
eqMp
eqMp
nil
2141
remove
thm
nil
"P"
0
ref
8
ref
3
ref
cons
opType
2775
def
var
2145
ref
80
remove
2163
remove
appTerm
2168
remove
appTerm
2776
def
absTerm
2777
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
8
remove
nil
cons
cons
nil
cons
17
remove
cons
43
remove
subst
subst
2145
remove
nil
45
remove
2776
remove
nil
cons
cons
nil
cons
nil
cons
cons
50
remove
subst
2774
remove
eqMp
absThm
eqMp
nil
24
remove
0
remove
2775
remove
3
remove
cons
opType
constTerm
2777
remove
appTerm
thm