6
version
"Data.Bool.~"
const
"->"
typeOp
0
def
"bool"
typeOp
nil
opType
1
def
1
ref
nil
cons
2
def
cons
opType
3
def
constTerm
4
def
refl
5
def
nil
"p"
"Number.Natural.natural"
typeOp
nil
opType
6
def
var
7
def
"Number.Natural.zero"
const
6
ref
constTerm
8
def
nil
cons
9
def
cons
nil
cons
nil
cons
cons
7
ref
"="
const
10
def
0
ref
1
ref
3
ref
nil
cons
11
def
cons
opType
12
def
constTerm
13
def
"Number.Natural.prime"
const
0
ref
6
ref
2
ref
cons
opType
14
def
constTerm
15
def
7
ref
varTerm
16
def
appTerm
17
def
appTerm
"Data.Bool./\\"
const
12
ref
constTerm
18
def
4
ref
10
ref
0
ref
6
ref
14
ref
nil
cons
19
def
cons
opType
20
def
constTerm
21
def
16
ref
appTerm
22
def
"Number.Natural.bit1"
const
0
ref
6
ref
6
ref
nil
cons
23
def
cons
opType
24
def
constTerm
25
def
8
ref
appTerm
26
def
appTerm
27
def
appTerm
28
def
appTerm
"Data.Bool.!"
const
29
def
0
ref
14
ref
2
ref
cons
opType
30
def
constTerm
31
def
"n"
6
ref
var
32
def
"Data.Bool.==>"
const
12
ref
constTerm
33
def
"Number.Natural.divides"
const
20
ref
constTerm
34
def
32
ref
varTerm
35
def
appTerm
36
def
16
ref
appTerm
appTerm
"Data.Bool.\\/"
const
12
ref
constTerm
37
def
21
ref
35
ref
appTerm
38
def
26
ref
appTerm
39
def
appTerm
40
def
38
ref
16
ref
appTerm
41
def
appTerm
appTerm
absTerm
42
def
appTerm
43
def
appTerm
44
def
appTerm
absTerm
45
def
16
ref
appTerm
46
def
betaConv
nil
31
ref
45
ref
appTerm
47
def
axiom
48
def
nil
"p"
1
ref
var
49
def
47
remove
nil
cons
cons
50
def
"q"
1
ref
var
51
def
46
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
13
ref
33
ref
49
ref
varTerm
52
def
appTerm
53
def
51
ref
varTerm
54
def
appTerm
55
def
appTerm
56
def
refl
49
ref
51
ref
13
ref
18
ref
52
ref
appTerm
57
def
54
ref
appTerm
58
def
appTerm
59
def
52
ref
appTerm
absTerm
60
def
absTerm
61
def
52
ref
appTerm
betaConv
54
ref
refl
62
def
appThm
60
remove
54
ref
appTerm
betaConv
trans
appThm
nil
10
ref
0
ref
12
ref
0
ref
12
ref
2
ref
cons
opType
63
def
nil
cons
cons
opType
constTerm
64
def
33
ref
appTerm
61
remove
appTerm
axiom
52
ref
refl
65
def
appThm
62
ref
appThm
eqMp
66
def
sym
67
def
59
remove
refl
51
ref
10
ref
0
ref
63
ref
0
ref
63
remove
2
ref
cons
opType
nil
cons
cons
opType
constTerm
68
def
"f"
12
remove
var
69
def
69
ref
varTerm
70
def
52
ref
appTerm
54
ref
appTerm
absTerm
71
def
appTerm
69
ref
70
ref
"Data.Bool.T"
const
1
ref
constTerm
72
def
appTerm
72
ref
appTerm
absTerm
73
def
appTerm
absTerm
74
def
54
ref
appTerm
betaConv
appThm
10
ref
0
ref
3
ref
0
ref
3
ref
2
ref
cons
opType
75
def
nil
cons
cons
opType
constTerm
76
def
57
ref
appTerm
refl
49
ref
74
remove
absTerm
77
def
52
ref
appTerm
betaConv
appThm
nil
64
ref
18
ref
appTerm
77
ref
appTerm
axiom
78
def
65
remove
appThm
eqMp
62
ref
appThm
eqMp
79
def
sym
69
ref
70
ref
refl
nil
"t"
1
ref
var
80
def
52
ref
nil
cons
81
def
cons
nil
cons
nil
cons
cons
82
def
13
ref
80
ref
varTerm
83
def
appTerm
84
def
72
ref
appTerm
85
def
assume
sym
nil
72
ref
axiom
86
def
eqMp
83
ref
assume
86
ref
deductAntisym
deductAntisym
87
def
subst
52
ref
assume
88
def
eqMp
appThm
nil
80
ref
54
ref
nil
cons
89
def
cons
nil
cons
nil
cons
cons
90
def
87
ref
subst
54
ref
assume
91
def
eqMp
appThm
absThm
eqMp
92
def
nil
"P"
1
ref
var
93
def
81
ref
cons
94
def
"Q"
1
ref
var
95
def
89
ref
cons
nil
cons
96
def
cons
nil
cons
cons
13
ref
refl
97
def
69
ref
70
remove
93
ref
varTerm
98
def
appTerm
99
def
95
ref
varTerm
100
def
appTerm
absTerm
101
def
49
ref
51
ref
52
ref
absTerm
absTerm
102
def
appTerm
betaConv
102
ref
98
ref
appTerm
betaConv
100
ref
refl
103
def
appThm
51
ref
98
ref
absTerm
100
ref
appTerm
betaConv
trans
trans
appThm
73
ref
102
ref
appTerm
betaConv
102
ref
72
ref
appTerm
betaConv
72
ref
refl
104
def
appThm
51
ref
72
ref
absTerm
72
ref
appTerm
betaConv
trans
trans
appThm
13
ref
18
ref
98
ref
appTerm
105
def
100
ref
appTerm
106
def
appTerm
refl
51
ref
68
remove
69
remove
99
remove
54
ref
appTerm
absTerm
appTerm
73
ref
appTerm
absTerm
100
ref
appTerm
betaConv
appThm
76
ref
105
remove
appTerm
refl
77
remove
98
ref
appTerm
betaConv
appThm
78
remove
98
ref
refl
107
def
appThm
eqMp
103
ref
appThm
eqMp
106
remove
assume
eqMp
108
def
102
remove
refl
appThm
eqMp
sym
86
ref
eqMp
109
def
subst
deductAntisym
eqMp
66
remove
55
ref
assume
110
def
eqMp
sym
88
remove
eqMp
97
ref
71
remove
49
ref
51
ref
54
ref
absTerm
111
def
absTerm
112
def
appTerm
betaConv
112
ref
52
ref
appTerm
betaConv
62
ref
appThm
111
ref
54
ref
appTerm
betaConv
trans
trans
appThm
73
remove
112
ref
appTerm
betaConv
112
ref
72
ref
appTerm
betaConv
104
remove
appThm
111
ref
72
ref
appTerm
betaConv
trans
trans
113
def
appThm
79
remove
58
ref
assume
eqMp
112
ref
refl
114
def
appThm
eqMp
sym
86
ref
eqMp
115
def
proveHyp
deductAntisym
116
def
subst
proveHyp
"A"
23
ref
cons
nil
cons
117
def
"P"
14
ref
var
118
def
45
ref
nil
cons
cons
119
def
"x"
6
ref
var
120
def
16
ref
nil
cons
121
def
cons
122
def
nil
cons
123
def
cons
nil
cons
cons
nil
49
ref
29
ref
0
ref
0
ref
"A"
varType
124
def
2
ref
cons
opType
125
def
2
ref
cons
opType
126
def
constTerm
127
def
"P"
125
ref
var
128
def
varTerm
129
def
appTerm
130
def
nil
cons
131
def
cons
51
ref
129
ref
"x"
124
ref
var
132
def
varTerm
133
def
appTerm
134
def
nil
cons
135
def
cons
nil
cons
cons
nil
cons
cons
136
def
67
ref
subst
136
remove
115
remove
92
remove
deductAntisym
137
def
subst
13
ref
134
ref
appTerm
refl
132
ref
72
ref
absTerm
138
def
133
ref
appTerm
betaConv
appThm
"p"
125
ref
var
139
def
10
ref
0
ref
125
ref
126
ref
nil
cons
cons
opType
constTerm
139
ref
varTerm
140
def
appTerm
138
remove
appTerm
absTerm
141
def
129
ref
appTerm
betaConv
142
def
nil
10
ref
0
ref
126
ref
0
ref
126
ref
2
ref
cons
opType
143
def
nil
cons
cons
opType
constTerm
144
def
127
ref
appTerm
141
remove
appTerm
axiom
129
ref
refl
145
def
appThm
146
def
130
ref
assume
eqMp
eqMp
133
ref
refl
147
def
appThm
eqMp
sym
86
ref
eqMp
eqMp
nil
93
ref
131
remove
cons
95
ref
135
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
148
def
subst
eqMp
eqMp
149
def
subst
18
ref
4
ref
21
ref
8
ref
appTerm
150
def
26
ref
appTerm
151
def
appTerm
152
def
appTerm
153
def
refl
31
ref
refl
154
def
32
ref
33
ref
refl
155
def
nil
"a"
6
ref
var
156
def
35
ref
nil
cons
157
def
cons
nil
cons
nil
cons
cons
158
def
nil
80
ref
34
ref
156
ref
varTerm
159
def
appTerm
160
def
8
ref
appTerm
161
def
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
156
ref
161
remove
absTerm
162
def
159
ref
appTerm
163
def
betaConv
nil
31
ref
162
ref
appTerm
164
def
axiom
nil
49
ref
164
remove
nil
cons
cons
51
ref
163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
162
remove
nil
cons
cons
120
ref
159
ref
nil
cons
cons
nil
cons
165
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
166
def
subst
appThm
40
ref
38
ref
8
ref
appTerm
167
def
appTerm
168
def
refl
appThm
nil
80
ref
168
ref
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
33
ref
72
ref
appTerm
169
def
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
170
def
83
ref
appTerm
171
def
betaConv
nil
29
ref
75
ref
constTerm
172
def
170
ref
appTerm
173
def
axiom
nil
49
ref
173
remove
nil
cons
cons
51
ref
171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
"A"
2
ref
cons
nil
cons
174
def
"P"
3
ref
var
175
def
170
remove
nil
cons
cons
"x"
1
ref
var
176
def
83
ref
nil
cons
177
def
cons
nil
cons
178
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
179
def
subst
trans
absThm
appThm
appThm
trans
appThm
nil
"t2"
1
ref
var
180
def
31
ref
32
ref
168
remove
absTerm
181
def
appTerm
nil
cons
cons
"t1"
1
ref
var
182
def
152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
180
ref
13
ref
4
ref
18
ref
182
ref
varTerm
183
def
appTerm
184
def
180
ref
varTerm
185
def
appTerm
appTerm
appTerm
37
ref
4
ref
183
ref
appTerm
186
def
appTerm
4
ref
185
ref
appTerm
187
def
appTerm
appTerm
absTerm
188
def
185
ref
appTerm
189
def
betaConv
182
ref
172
ref
188
ref
appTerm
190
def
absTerm
191
def
183
ref
appTerm
192
def
betaConv
nil
172
ref
191
ref
appTerm
193
def
axiom
nil
49
ref
193
remove
nil
cons
cons
51
ref
192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
191
remove
nil
cons
cons
176
ref
183
ref
nil
cons
cons
nil
cons
194
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
190
remove
nil
cons
cons
51
ref
189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
188
remove
nil
cons
cons
176
ref
185
ref
nil
cons
cons
nil
cons
195
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
196
def
subst
37
ref
refl
197
def
nil
80
ref
151
remove
nil
cons
198
def
cons
nil
cons
nil
cons
cons
199
def
80
ref
13
ref
4
ref
4
ref
83
ref
appTerm
200
def
appTerm
appTerm
83
ref
appTerm
absTerm
201
def
83
ref
appTerm
202
def
betaConv
nil
172
ref
201
ref
appTerm
203
def
axiom
nil
49
ref
203
remove
nil
cons
cons
51
ref
202
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
201
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
204
def
subst
appThm
97
ref
5
ref
154
ref
32
ref
181
ref
35
ref
appTerm
betaConv
205
def
absThm
appThm
appThm
appThm
"Data.Bool.?"
const
206
def
30
ref
constTerm
207
def
refl
208
def
32
ref
5
ref
205
remove
appThm
absThm
appThm
appThm
nil
"p"
14
ref
var
209
def
181
remove
nil
cons
cons
nil
cons
nil
cons
cons
117
ref
nil
nil
cons
210
def
cons
211
def
139
ref
13
ref
4
ref
127
ref
132
ref
140
ref
133
ref
appTerm
212
def
absTerm
213
def
appTerm
214
def
appTerm
appTerm
206
ref
126
ref
constTerm
215
def
132
ref
4
ref
212
ref
appTerm
absTerm
216
def
appTerm
appTerm
absTerm
217
def
140
ref
appTerm
218
def
betaConv
nil
29
ref
143
remove
constTerm
219
def
217
ref
appTerm
220
def
axiom
nil
49
ref
220
remove
nil
cons
cons
51
ref
218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
"A"
125
ref
nil
cons
221
def
cons
nil
cons
222
def
"P"
126
remove
var
223
def
217
remove
nil
cons
cons
"x"
125
ref
var
224
def
140
ref
nil
cons
cons
nil
cons
225
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
226
def
subst
227
def
subst
eqMp
208
ref
32
ref
nil
180
ref
167
ref
nil
cons
228
def
cons
182
ref
39
ref
nil
cons
229
def
cons
nil
cons
cons
nil
cons
cons
180
ref
13
ref
4
ref
37
ref
183
ref
appTerm
230
def
185
ref
appTerm
231
def
appTerm
appTerm
18
ref
186
ref
appTerm
187
ref
appTerm
appTerm
absTerm
232
def
185
ref
appTerm
233
def
betaConv
182
ref
172
ref
232
ref
appTerm
234
def
absTerm
235
def
183
ref
appTerm
236
def
betaConv
nil
172
ref
235
ref
appTerm
237
def
axiom
nil
49
ref
237
remove
nil
cons
cons
51
ref
236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
235
remove
nil
cons
cons
194
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
234
remove
nil
cons
cons
51
ref
233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
232
remove
nil
cons
cons
195
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
238
def
subst
absThm
appThm
trans
appThm
trans
trans
sym
32
ref
18
ref
4
ref
39
ref
appTerm
239
def
appTerm
240
def
4
ref
167
ref
appTerm
241
def
appTerm
absTerm
242
def
"Number.Natural.suc"
const
24
ref
constTerm
243
def
243
ref
8
ref
appTerm
244
def
appTerm
245
def
appTerm
betaConv
sym
18
ref
refl
246
def
5
ref
21
ref
245
ref
appTerm
refl
nil
32
ref
9
ref
cons
247
def
nil
cons
nil
cons
cons
248
def
32
ref
21
ref
25
ref
35
ref
appTerm
249
def
appTerm
243
ref
"Number.Natural.bit0"
const
24
ref
constTerm
250
def
35
ref
appTerm
251
def
appTerm
252
def
appTerm
absTerm
253
def
35
ref
appTerm
254
def
betaConv
nil
31
ref
253
ref
appTerm
255
def
axiom
nil
49
ref
255
remove
nil
cons
cons
51
ref
254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
253
remove
nil
cons
cons
120
ref
157
ref
cons
nil
cons
256
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
257
def
subst
243
ref
refl
258
def
nil
21
ref
250
ref
8
ref
appTerm
appTerm
259
def
8
ref
appTerm
axiom
260
def
appThm
trans
261
def
appThm
nil
247
ref
"m"
6
ref
var
262
def
244
ref
nil
cons
263
def
cons
nil
cons
cons
nil
cons
cons
32
ref
13
ref
21
ref
243
ref
262
ref
varTerm
264
def
appTerm
265
def
appTerm
243
ref
35
ref
appTerm
266
def
appTerm
appTerm
21
ref
264
ref
appTerm
267
def
35
ref
appTerm
268
def
appTerm
absTerm
269
def
35
ref
appTerm
270
def
betaConv
262
ref
31
ref
269
ref
appTerm
271
def
absTerm
272
def
264
ref
appTerm
273
def
betaConv
nil
31
ref
272
ref
appTerm
274
def
axiom
nil
49
ref
274
remove
nil
cons
cons
51
ref
273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
272
remove
nil
cons
cons
120
ref
264
ref
nil
cons
275
def
cons
nil
cons
276
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
271
remove
nil
cons
cons
51
ref
270
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
269
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
277
def
subst
248
ref
32
ref
4
ref
21
ref
266
ref
appTerm
278
def
8
ref
appTerm
279
def
appTerm
280
def
absTerm
281
def
35
ref
appTerm
282
def
betaConv
nil
31
ref
281
ref
appTerm
283
def
axiom
nil
49
ref
283
remove
nil
cons
cons
51
ref
282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
281
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
280
remove
nil
cons
cons
51
ref
13
ref
279
ref
appTerm
"Data.Bool.F"
const
1
ref
constTerm
284
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
93
ref
279
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
49
ref
4
ref
98
ref
appTerm
285
def
nil
cons
286
def
cons
51
ref
13
ref
98
ref
appTerm
284
ref
appTerm
nil
cons
287
def
cons
nil
cons
cons
nil
cons
cons
288
def
67
ref
subst
288
remove
137
ref
subst
nil
49
ref
98
ref
nil
cons
289
def
cons
51
ref
284
ref
nil
cons
290
def
cons
nil
cons
291
def
cons
nil
cons
cons
155
ref
13
ref
52
ref
appTerm
292
def
54
ref
appTerm
293
def
assume
294
def
appThm
62
ref
appThm
sym
nil
49
ref
89
ref
cons
295
def
51
ref
89
ref
cons
nil
cons
cons
nil
cons
cons
296
def
67
ref
subst
296
remove
137
ref
subst
91
remove
eqMp
nil
93
ref
89
ref
cons
96
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
297
def
eqMp
298
def
nil
49
ref
55
ref
nil
cons
299
def
cons
300
def
51
ref
33
ref
54
ref
appTerm
301
def
52
ref
appTerm
nil
cons
302
def
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
301
ref
refl
294
remove
appThm
sym
297
remove
eqMp
eqMp
nil
295
ref
51
ref
81
ref
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
299
ref
cons
303
def
95
ref
302
remove
cons
nil
cons
cons
nil
cons
cons
304
def
97
ref
101
remove
112
ref
appTerm
betaConv
112
remove
98
ref
appTerm
betaConv
103
ref
appThm
111
remove
100
ref
appTerm
betaConv
trans
trans
appThm
113
remove
appThm
108
remove
114
remove
appThm
eqMp
sym
86
ref
eqMp
305
def
subst
eqMp
116
ref
304
remove
109
ref
subst
eqMp
deductAntisym
deductAntisym
306
def
subst
13
ref
285
ref
appTerm
refl
49
ref
53
ref
284
ref
appTerm
absTerm
307
def
98
ref
appTerm
betaConv
appThm
nil
76
ref
4
ref
appTerm
307
remove
appTerm
axiom
107
ref
appThm
eqMp
308
def
285
remove
assume
eqMp
nil
49
ref
33
ref
98
ref
appTerm
309
def
284
ref
appTerm
nil
cons
cons
51
ref
33
ref
284
ref
appTerm
310
def
98
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
49
ref
290
ref
cons
51
ref
289
ref
cons
nil
cons
cons
nil
cons
cons
311
def
67
ref
subst
311
remove
137
ref
subst
49
ref
52
ref
absTerm
312
def
98
ref
appTerm
313
def
betaConv
nil
13
ref
284
ref
appTerm
314
def
172
ref
312
ref
appTerm
315
def
appTerm
axiom
284
ref
assume
eqMp
nil
49
ref
315
remove
nil
cons
cons
51
ref
313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
312
remove
nil
cons
cons
176
ref
289
ref
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
316
def
eqMp
nil
93
ref
290
ref
cons
95
ref
289
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
93
ref
286
remove
cons
95
ref
287
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
317
def
subst
eqMp
318
def
subst
trans
trans
appThm
nil
13
ref
4
ref
284
ref
appTerm
319
def
appTerm
72
ref
appTerm
axiom
320
def
trans
appThm
5
ref
nil
32
ref
263
ref
cons
nil
cons
nil
cons
cons
318
remove
subst
appThm
320
ref
trans
appThm
nil
80
ref
72
ref
nil
cons
cons
nil
cons
nil
cons
cons
321
def
80
ref
13
ref
18
ref
72
ref
appTerm
322
def
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
323
def
83
ref
appTerm
324
def
betaConv
nil
172
ref
323
ref
appTerm
325
def
axiom
nil
49
ref
325
remove
nil
cons
cons
51
ref
324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
323
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
326
def
subst
327
def
trans
sym
86
ref
eqMp
eqMp
117
ref
118
ref
242
ref
nil
cons
cons
120
ref
245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
13
ref
215
ref
129
ref
appTerm
328
def
appTerm
329
def
refl
139
ref
172
ref
51
ref
33
ref
127
ref
132
ref
33
ref
212
ref
appTerm
54
ref
appTerm
absTerm
appTerm
appTerm
54
ref
appTerm
absTerm
appTerm
absTerm
330
def
129
ref
appTerm
betaConv
appThm
nil
144
remove
215
ref
appTerm
330
remove
appTerm
axiom
145
remove
appThm
eqMp
331
def
sym
nil
175
ref
95
ref
33
ref
127
ref
132
ref
33
ref
134
ref
appTerm
332
def
100
ref
appTerm
absTerm
333
def
appTerm
334
def
appTerm
100
ref
appTerm
335
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
174
ref
210
ref
cons
336
def
13
ref
130
remove
appTerm
refl
142
remove
appThm
146
remove
eqMp
sym
337
def
subst
338
def
subst
95
ref
nil
80
ref
335
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
334
remove
nil
cons
339
def
cons
340
def
51
ref
100
ref
nil
cons
341
def
cons
nil
cons
342
def
cons
nil
cons
cons
343
def
67
ref
subst
343
ref
137
ref
subst
nil
49
ref
135
ref
cons
344
def
342
ref
cons
nil
cons
cons
116
ref
subst
333
ref
133
ref
appTerm
345
def
betaConv
nil
340
ref
51
ref
345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
"A"
124
ref
nil
cons
cons
346
def
nil
cons
347
def
128
ref
333
remove
nil
cons
cons
132
ref
133
ref
nil
cons
348
def
cons
nil
cons
349
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
339
remove
cons
350
def
95
ref
341
ref
cons
nil
cons
351
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
352
def
subst
proveHyp
nil
93
ref
198
remove
cons
95
ref
207
ref
242
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
13
ref
37
ref
98
ref
appTerm
353
def
100
ref
appTerm
354
def
appTerm
refl
51
ref
172
ref
"r"
1
ref
var
355
def
33
ref
309
ref
355
ref
varTerm
356
def
appTerm
appTerm
357
def
33
ref
301
remove
356
ref
appTerm
358
def
appTerm
356
ref
appTerm
359
def
appTerm
absTerm
appTerm
absTerm
100
ref
appTerm
betaConv
appThm
76
remove
353
remove
appTerm
refl
49
ref
51
ref
172
ref
355
ref
33
ref
53
remove
356
ref
appTerm
appTerm
359
remove
appTerm
absTerm
appTerm
absTerm
absTerm
360
def
98
remove
appTerm
betaConv
appThm
nil
64
remove
37
ref
appTerm
360
remove
appTerm
axiom
107
remove
appThm
eqMp
103
remove
appThm
eqMp
361
def
sym
nil
175
ref
80
ref
33
ref
309
ref
83
ref
appTerm
362
def
appTerm
33
ref
33
ref
100
ref
appTerm
363
def
83
ref
appTerm
364
def
appTerm
83
ref
appTerm
365
def
appTerm
366
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
338
remove
subst
80
ref
nil
80
ref
366
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
362
remove
nil
cons
367
def
cons
51
ref
365
remove
nil
cons
368
def
cons
nil
cons
cons
nil
cons
cons
369
def
67
ref
subst
369
remove
137
ref
subst
nil
49
ref
364
ref
nil
cons
370
def
cons
51
ref
177
ref
cons
nil
cons
371
def
cons
nil
cons
cons
372
def
67
ref
subst
372
remove
137
ref
subst
nil
49
ref
341
ref
cons
371
remove
cons
nil
cons
cons
116
ref
subst
364
remove
assume
eqMp
eqMp
nil
93
ref
370
remove
cons
95
ref
177
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
367
remove
cons
95
ref
368
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
373
def
nil
4
ref
15
ref
8
ref
appTerm
374
def
appTerm
375
def
thm
5
ref
nil
7
ref
26
ref
nil
cons
376
def
cons
nil
cons
377
def
nil
cons
cons
149
ref
subst
246
ref
5
ref
nil
120
ref
376
ref
cons
nil
cons
378
def
nil
cons
cons
211
ref
nil
80
ref
10
ref
0
ref
124
ref
221
remove
cons
opType
constTerm
379
def
133
ref
appTerm
380
def
133
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
147
ref
eqMp
381
def
subst
382
def
subst
383
def
appThm
nil
13
ref
4
ref
72
ref
appTerm
384
def
appTerm
284
ref
appTerm
axiom
385
def
trans
appThm
154
ref
32
ref
33
ref
36
ref
26
ref
appTerm
appTerm
386
def
refl
nil
80
ref
229
ref
cons
nil
cons
nil
cons
cons
80
ref
13
ref
37
ref
83
ref
appTerm
387
def
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
388
def
83
ref
appTerm
389
def
betaConv
nil
172
ref
388
ref
appTerm
390
def
axiom
nil
49
ref
390
remove
nil
cons
cons
51
ref
389
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
388
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
absThm
appThm
appThm
nil
80
ref
31
ref
32
ref
386
remove
39
ref
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
18
ref
284
ref
appTerm
391
def
83
ref
appTerm
appTerm
284
ref
appTerm
absTerm
392
def
83
ref
appTerm
393
def
betaConv
nil
172
ref
392
ref
appTerm
394
def
axiom
nil
49
ref
394
remove
nil
cons
cons
51
ref
393
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
392
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
395
def
subst
trans
trans
396
def
appThm
320
ref
trans
sym
86
ref
eqMp
397
def
nil
4
ref
15
ref
26
ref
appTerm
398
def
appTerm
399
def
thm
nil
7
ref
250
ref
26
ref
appTerm
400
def
nil
cons
401
def
cons
nil
cons
nil
cons
cons
149
ref
subst
18
ref
4
ref
21
ref
400
ref
appTerm
402
def
26
ref
appTerm
appTerm
403
def
appTerm
refl
154
ref
32
ref
155
ref
158
ref
156
ref
13
ref
160
ref
400
ref
appTerm
appTerm
37
ref
21
ref
159
ref
appTerm
404
def
26
ref
appTerm
405
def
appTerm
406
def
404
ref
400
ref
appTerm
appTerm
appTerm
absTerm
407
def
159
ref
appTerm
408
def
betaConv
nil
31
ref
407
ref
appTerm
409
def
axiom
nil
49
ref
409
remove
nil
cons
cons
51
ref
408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
407
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
40
ref
38
ref
400
ref
appTerm
appTerm
410
def
refl
appThm
nil
80
ref
410
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
80
ref
33
ref
83
ref
appTerm
411
def
83
ref
appTerm
412
def
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
80
ref
412
remove
absTerm
413
def
83
ref
appTerm
414
def
betaConv
nil
172
ref
413
ref
appTerm
415
def
axiom
nil
49
ref
415
remove
nil
cons
cons
51
ref
414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
413
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
416
def
subst
trans
absThm
appThm
321
ref
211
ref
80
ref
13
ref
127
ref
132
ref
83
ref
absTerm
appTerm
appTerm
83
ref
appTerm
absTerm
417
def
83
ref
appTerm
418
def
betaConv
nil
172
ref
417
ref
appTerm
419
def
axiom
nil
49
ref
419
remove
nil
cons
cons
51
ref
418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
417
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
420
def
subst
421
def
subst
422
def
trans
appThm
nil
80
ref
403
remove
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
18
ref
83
ref
appTerm
423
def
72
ref
appTerm
appTerm
83
ref
appTerm
absTerm
424
def
83
ref
appTerm
425
def
betaConv
nil
172
ref
424
ref
appTerm
426
def
axiom
nil
49
ref
426
remove
nil
cons
cons
51
ref
425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
424
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
427
def
subst
trans
trans
sym
5
ref
258
ref
248
ref
nil
32
ref
249
ref
nil
cons
428
def
cons
nil
cons
nil
cons
cons
32
ref
21
ref
"Number.Natural.+"
const
0
ref
6
ref
24
ref
nil
cons
cons
opType
429
def
constTerm
430
def
8
ref
appTerm
431
def
35
ref
appTerm
appTerm
35
ref
appTerm
absTerm
432
def
35
ref
appTerm
433
def
betaConv
nil
31
ref
432
ref
appTerm
434
def
axiom
nil
49
ref
434
remove
nil
cons
cons
51
ref
433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
432
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
435
def
subst
436
def
subst
appThm
248
ref
32
ref
21
ref
243
ref
249
ref
appTerm
appTerm
250
ref
266
ref
appTerm
437
def
appTerm
absTerm
438
def
35
ref
appTerm
439
def
betaConv
246
ref
154
ref
32
ref
nil
120
ref
266
ref
nil
cons
440
def
cons
nil
cons
nil
cons
cons
382
ref
subst
absThm
appThm
422
ref
trans
appThm
246
ref
21
ref
244
remove
appTerm
441
def
refl
261
remove
appThm
nil
120
ref
263
remove
cons
nil
cons
nil
cons
cons
382
ref
subst
trans
appThm
246
ref
154
ref
32
ref
21
ref
refl
442
def
258
ref
32
ref
21
ref
251
ref
appTerm
430
ref
35
ref
appTerm
443
def
35
ref
appTerm
444
def
appTerm
445
def
absTerm
446
def
35
ref
appTerm
447
def
betaConv
448
def
442
ref
260
remove
appThm
248
remove
435
ref
subst
449
def
appThm
nil
120
ref
9
ref
cons
nil
cons
nil
cons
cons
382
ref
subst
450
def
trans
sym
86
ref
eqMp
nil
49
ref
259
remove
431
ref
8
ref
appTerm
451
def
appTerm
452
def
nil
cons
cons
51
ref
31
ref
32
ref
33
ref
445
ref
appTerm
21
ref
437
remove
appTerm
453
def
430
ref
266
ref
appTerm
266
ref
appTerm
appTerm
454
def
appTerm
455
def
absTerm
456
def
appTerm
457
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
118
ref
456
remove
nil
cons
cons
nil
cons
nil
cons
cons
211
ref
337
ref
subst
458
def
subst
32
ref
nil
80
ref
455
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
445
ref
nil
cons
459
def
cons
51
ref
454
remove
nil
cons
460
def
cons
nil
cons
cons
nil
cons
cons
461
def
67
ref
subst
461
remove
137
ref
subst
442
ref
32
ref
453
remove
243
ref
252
ref
appTerm
appTerm
absTerm
462
def
35
ref
appTerm
463
def
betaConv
nil
31
ref
462
ref
appTerm
464
def
axiom
nil
49
ref
464
remove
nil
cons
cons
51
ref
463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
462
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
258
ref
258
ref
445
remove
assume
appThm
appThm
trans
appThm
nil
32
ref
440
remove
cons
465
def
262
ref
157
ref
cons
nil
cons
466
def
cons
nil
cons
cons
32
ref
21
ref
430
ref
265
remove
appTerm
35
ref
appTerm
appTerm
243
ref
430
ref
264
ref
appTerm
467
def
35
ref
appTerm
468
def
appTerm
469
def
appTerm
absTerm
470
def
35
ref
appTerm
471
def
betaConv
262
ref
31
ref
470
ref
appTerm
472
def
absTerm
473
def
264
ref
appTerm
474
def
betaConv
nil
31
ref
473
ref
appTerm
475
def
axiom
nil
49
ref
475
remove
nil
cons
cons
51
ref
474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
473
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
472
remove
nil
cons
cons
51
ref
471
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
470
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
476
def
subst
477
def
258
ref
nil
466
ref
nil
cons
cons
32
ref
21
ref
467
ref
266
ref
appTerm
appTerm
469
ref
appTerm
absTerm
478
def
35
ref
appTerm
479
def
betaConv
262
ref
31
ref
478
ref
appTerm
480
def
absTerm
481
def
264
ref
appTerm
482
def
betaConv
nil
31
ref
481
ref
appTerm
483
def
axiom
nil
49
ref
483
remove
nil
cons
cons
51
ref
482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
481
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
480
remove
nil
cons
cons
51
ref
479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
478
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
484
def
subst
appThm
485
def
trans
appThm
nil
120
ref
243
ref
243
ref
444
ref
appTerm
486
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
subst
487
def
trans
sym
86
ref
eqMp
eqMp
nil
93
ref
459
remove
cons
95
ref
460
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
18
ref
452
remove
appTerm
457
remove
appTerm
nil
cons
cons
51
ref
31
ref
446
ref
appTerm
nil
cons
488
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
246
ref
446
ref
8
ref
appTerm
betaConv
appThm
154
ref
32
ref
155
ref
448
ref
appThm
446
ref
266
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
154
ref
32
ref
448
remove
absThm
appThm
appThm
nil
209
ref
446
remove
nil
cons
489
def
cons
nil
cons
nil
cons
cons
209
ref
33
ref
18
ref
209
ref
varTerm
490
def
8
ref
appTerm
appTerm
31
ref
32
ref
33
ref
490
ref
35
ref
appTerm
491
def
appTerm
490
ref
266
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
31
ref
32
ref
491
ref
absTerm
appTerm
492
def
appTerm
absTerm
493
def
490
ref
appTerm
494
def
betaConv
nil
29
ref
0
ref
30
ref
2
ref
cons
opType
constTerm
495
def
493
ref
appTerm
496
def
axiom
nil
49
ref
496
remove
nil
cons
cons
51
ref
494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
"A"
19
remove
cons
nil
cons
497
def
"P"
30
remove
var
498
def
493
remove
nil
cons
cons
"x"
14
ref
var
490
ref
nil
cons
cons
nil
cons
499
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
49
ref
488
remove
cons
51
ref
447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
489
remove
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
500
def
appThm
501
def
appThm
257
remove
501
remove
trans
502
def
appThm
nil
120
ref
486
remove
nil
cons
503
def
cons
nil
cons
nil
cons
cons
382
ref
subst
trans
absThm
appThm
422
ref
trans
appThm
154
ref
32
ref
442
ref
258
ref
502
ref
appThm
appThm
nil
465
remove
nil
cons
nil
cons
cons
500
ref
subst
477
remove
trans
485
remove
trans
appThm
487
remove
trans
absThm
appThm
422
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
sym
86
ref
eqMp
nil
93
ref
31
ref
32
ref
278
remove
266
remove
appTerm
absTerm
appTerm
nil
cons
cons
95
ref
18
ref
441
remove
26
ref
appTerm
504
def
appTerm
18
ref
31
ref
32
ref
21
ref
252
remove
appTerm
249
ref
appTerm
absTerm
505
def
appTerm
506
def
appTerm
31
ref
438
ref
appTerm
507
def
appTerm
508
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
509
def
nil
93
ref
504
remove
nil
cons
cons
95
ref
508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
510
def
305
ref
subst
proveHyp
511
def
nil
93
ref
506
remove
nil
cons
512
def
cons
95
ref
507
remove
nil
cons
513
def
cons
nil
cons
cons
nil
cons
cons
514
def
305
ref
subst
proveHyp
nil
49
ref
513
remove
cons
51
ref
439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
438
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
250
ref
refl
515
def
509
remove
510
remove
109
ref
subst
proveHyp
516
def
appThm
trans
trans
517
def
nil
262
ref
9
remove
cons
518
def
32
ref
401
ref
cons
377
ref
cons
cons
nil
cons
cons
13
ref
"_9319"
6
ref
var
519
def
13
ref
21
ref
519
remove
varTerm
appTerm
16
ref
appTerm
appTerm
284
ref
appTerm
absTerm
520
def
35
ref
appTerm
521
def
appTerm
refl
520
ref
243
ref
467
ref
16
ref
appTerm
522
def
appTerm
523
def
appTerm
betaConv
appThm
97
ref
521
remove
betaConv
appThm
13
ref
21
ref
523
ref
appTerm
524
def
16
ref
appTerm
525
def
appTerm
284
ref
appTerm
refl
appThm
trans
520
remove
refl
524
ref
35
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
80
ref
525
remove
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
84
remove
284
ref
appTerm
526
def
appTerm
200
ref
appTerm
absTerm
527
def
83
ref
appTerm
528
def
betaConv
nil
172
ref
527
ref
appTerm
529
def
axiom
nil
49
ref
529
remove
nil
cons
cons
51
ref
528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
527
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
5
ref
nil
32
ref
121
ref
cons
530
def
262
ref
523
ref
nil
cons
531
def
cons
nil
cons
cons
nil
cons
cons
532
def
32
ref
13
ref
268
ref
appTerm
533
def
18
ref
"Number.Natural.<="
const
20
ref
constTerm
534
def
264
ref
appTerm
535
def
35
ref
appTerm
536
def
appTerm
537
def
534
ref
35
ref
appTerm
538
def
264
ref
appTerm
539
def
appTerm
540
def
appTerm
541
def
absTerm
542
def
35
ref
appTerm
543
def
betaConv
262
ref
31
ref
542
ref
appTerm
544
def
absTerm
545
def
264
ref
appTerm
546
def
betaConv
154
ref
262
ref
154
ref
32
ref
541
remove
assume
sym
13
ref
540
remove
appTerm
268
ref
appTerm
547
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
31
ref
262
ref
31
ref
32
ref
547
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
49
ref
31
ref
545
ref
appTerm
nil
cons
cons
51
ref
546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
545
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
544
remove
nil
cons
cons
51
ref
543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
542
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
548
def
subst
appThm
nil
180
ref
534
ref
16
ref
appTerm
549
def
523
ref
appTerm
nil
cons
cons
182
ref
534
ref
523
remove
appTerm
16
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
196
remove
subst
trans
trans
sym
197
ref
532
ref
32
ref
13
ref
4
ref
536
ref
appTerm
appTerm
"Number.Natural.<"
const
20
ref
constTerm
550
def
35
ref
appTerm
264
ref
appTerm
appTerm
absTerm
551
def
35
ref
appTerm
552
def
betaConv
262
ref
31
ref
551
ref
appTerm
553
def
absTerm
554
def
264
ref
appTerm
555
def
betaConv
nil
31
ref
554
ref
appTerm
556
def
axiom
nil
49
ref
556
remove
nil
cons
cons
51
ref
555
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
554
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
553
remove
nil
cons
cons
51
ref
552
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
551
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
557
def
subst
nil
32
ref
531
remove
cons
262
ref
121
ref
cons
nil
cons
558
def
cons
nil
cons
cons
559
def
32
ref
13
ref
550
ref
264
ref
appTerm
560
def
35
ref
appTerm
561
def
appTerm
562
def
207
ref
"d"
6
ref
var
563
def
38
ref
467
ref
243
ref
563
ref
varTerm
564
def
appTerm
565
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
566
def
35
ref
appTerm
567
def
betaConv
262
ref
31
ref
566
ref
appTerm
568
def
absTerm
569
def
264
ref
appTerm
570
def
betaConv
nil
31
ref
569
ref
appTerm
571
def
axiom
nil
49
ref
571
remove
nil
cons
cons
51
ref
570
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
569
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
568
remove
nil
cons
cons
51
ref
567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
566
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
572
def
subst
trans
208
ref
563
ref
524
ref
refl
nil
32
ref
564
ref
nil
cons
cons
573
def
558
ref
cons
nil
cons
cons
484
ref
subst
appThm
absThm
appThm
trans
appThm
559
remove
557
remove
subst
532
remove
572
remove
subst
trans
208
ref
563
ref
22
ref
refl
nil
32
ref
565
remove
nil
cons
cons
262
ref
522
ref
nil
cons
574
def
cons
nil
cons
575
def
cons
nil
cons
cons
476
ref
subst
258
ref
nil
573
remove
575
remove
cons
nil
cons
cons
484
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
49
ref
37
ref
207
ref
563
ref
524
ref
243
ref
430
ref
16
ref
appTerm
576
def
564
ref
appTerm
appTerm
appTerm
577
def
absTerm
578
def
appTerm
579
def
appTerm
207
ref
563
ref
22
ref
243
ref
243
ref
430
ref
522
ref
appTerm
564
ref
appTerm
appTerm
appTerm
appTerm
580
def
absTerm
581
def
appTerm
582
def
appTerm
583
def
nil
cons
cons
nil
cons
nil
cons
cons
292
ref
refl
584
def
nil
80
ref
4
ref
52
ref
appTerm
585
def
nil
cons
586
def
cons
nil
cons
nil
cons
cons
80
ref
13
ref
411
ref
284
ref
appTerm
appTerm
200
ref
appTerm
absTerm
587
def
83
ref
appTerm
588
def
betaConv
nil
172
ref
587
ref
appTerm
589
def
axiom
nil
49
ref
589
remove
nil
cons
cons
51
ref
588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
587
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
590
def
subst
appThm
sym
584
remove
82
ref
204
ref
subst
591
def
appThm
nil
176
ref
81
ref
cons
nil
cons
592
def
nil
cons
cons
336
remove
381
ref
subst
593
def
subst
trans
sym
86
ref
eqMp
eqMp
594
def
subst
sym
nil
49
ref
4
ref
583
remove
appTerm
595
def
nil
cons
596
def
cons
291
ref
cons
nil
cons
cons
597
def
67
ref
subst
597
remove
137
ref
subst
nil
31
ref
262
ref
31
ref
32
ref
21
ref
468
ref
appTerm
598
def
443
ref
264
ref
appTerm
appTerm
599
def
absTerm
600
def
appTerm
601
def
absTerm
602
def
appTerm
603
def
axiom
604
def
nil
49
ref
603
ref
nil
cons
605
def
cons
606
def
291
ref
cons
nil
cons
cons
607
def
116
ref
subst
proveHyp
607
ref
67
ref
subst
607
remove
137
ref
subst
nil
"_9322"
6
ref
var
608
def
121
ref
cons
"_9321"
6
ref
var
609
def
275
ref
cons
nil
cons
cons
nil
cons
cons
32
ref
21
ref
430
ref
609
remove
varTerm
610
def
appTerm
35
ref
appTerm
appTerm
443
ref
610
ref
appTerm
appTerm
absTerm
611
def
608
remove
varTerm
612
def
appTerm
613
def
betaConv
602
ref
610
ref
appTerm
614
def
betaConv
nil
606
ref
51
ref
614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
602
ref
nil
cons
615
def
cons
616
def
120
ref
610
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
611
ref
appTerm
nil
cons
cons
51
ref
613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
611
remove
nil
cons
cons
120
ref
612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
49
ref
21
ref
522
ref
appTerm
576
ref
264
ref
appTerm
617
def
appTerm
nil
cons
cons
51
ref
524
ref
243
ref
617
ref
appTerm
appTerm
nil
cons
618
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_9326"
6
ref
var
619
def
617
ref
nil
cons
620
def
cons
"_9325"
6
ref
var
621
def
574
ref
cons
nil
cons
cons
nil
cons
cons
nil
49
ref
21
ref
621
remove
varTerm
622
def
appTerm
619
remove
varTerm
623
def
appTerm
624
def
nil
cons
625
def
cons
51
ref
21
ref
243
ref
622
remove
appTerm
appTerm
243
ref
623
remove
appTerm
appTerm
nil
cons
626
def
cons
nil
cons
cons
nil
cons
cons
627
def
67
ref
subst
627
remove
137
ref
subst
258
ref
624
remove
assume
appThm
eqMp
nil
93
ref
625
remove
cons
95
ref
626
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
49
ref
618
remove
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_9323"
6
ref
var
628
def
275
ref
cons
nil
cons
nil
cons
cons
nil
49
ref
524
remove
243
ref
576
remove
628
remove
varTerm
629
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
13
ref
585
ref
appTerm
refl
82
remove
590
ref
subst
appThm
nil
176
ref
586
remove
cons
nil
cons
nil
cons
cons
593
ref
subst
trans
sym
86
ref
eqMp
630
def
subst
563
ref
4
ref
577
remove
appTerm
absTerm
631
def
629
ref
appTerm
632
def
betaConv
nil
49
ref
579
remove
nil
cons
cons
51
ref
582
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
49
ref
292
ref
284
ref
appTerm
633
def
nil
cons
634
def
cons
635
def
51
ref
13
ref
4
ref
37
ref
52
ref
appTerm
636
def
54
ref
appTerm
appTerm
appTerm
18
ref
585
ref
appTerm
637
def
4
ref
54
ref
appTerm
638
def
appTerm
appTerm
nil
cons
639
def
cons
nil
cons
640
def
cons
nil
cons
cons
641
def
67
ref
subst
641
remove
137
ref
subst
13
ref
"_534"
1
ref
var
642
def
13
ref
4
ref
37
ref
642
remove
varTerm
643
def
appTerm
54
ref
appTerm
appTerm
appTerm
18
ref
4
ref
643
remove
appTerm
appTerm
638
ref
appTerm
appTerm
absTerm
644
def
52
ref
appTerm
645
def
appTerm
refl
646
def
644
ref
284
ref
appTerm
betaConv
appThm
97
ref
645
remove
betaConv
appThm
647
def
13
ref
4
ref
37
ref
284
ref
appTerm
648
def
54
ref
appTerm
appTerm
appTerm
18
ref
319
ref
appTerm
649
def
638
ref
appTerm
appTerm
refl
appThm
trans
644
remove
refl
650
def
633
remove
assume
651
def
appThm
eqMp
sym
97
ref
5
ref
90
ref
80
ref
13
ref
648
ref
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
652
def
83
ref
appTerm
653
def
betaConv
nil
172
ref
652
ref
appTerm
654
def
axiom
nil
49
ref
654
remove
nil
cons
cons
51
ref
653
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
652
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
655
def
subst
656
def
appThm
appThm
246
ref
320
ref
appThm
657
def
638
ref
refl
658
def
appThm
nil
80
ref
638
ref
nil
cons
659
def
cons
nil
cons
nil
cons
cons
660
def
326
ref
subst
661
def
trans
appThm
nil
176
ref
659
remove
cons
nil
cons
nil
cons
cons
593
ref
subst
662
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
634
ref
cons
663
def
95
ref
639
ref
cons
nil
cons
664
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
292
remove
72
ref
appTerm
665
def
nil
cons
666
def
cons
667
def
640
remove
cons
nil
cons
cons
668
def
67
ref
subst
668
remove
137
ref
subst
646
remove
"_532"
1
ref
var
669
def
13
ref
4
ref
37
ref
669
remove
varTerm
670
def
appTerm
54
ref
appTerm
appTerm
appTerm
18
ref
4
ref
670
remove
appTerm
appTerm
638
ref
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
647
remove
13
ref
4
ref
37
ref
72
ref
appTerm
671
def
54
ref
appTerm
appTerm
appTerm
18
ref
384
ref
appTerm
672
def
638
ref
appTerm
appTerm
refl
appThm
trans
650
remove
665
remove
assume
673
def
appThm
eqMp
sym
97
ref
5
ref
90
ref
80
ref
13
ref
671
ref
83
ref
appTerm
appTerm
72
ref
appTerm
absTerm
674
def
83
ref
appTerm
675
def
betaConv
nil
172
ref
674
ref
appTerm
676
def
axiom
nil
49
ref
676
remove
nil
cons
cons
51
ref
675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
674
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
677
def
subst
678
def
appThm
385
ref
trans
appThm
246
ref
385
ref
appThm
679
def
658
ref
appThm
660
ref
395
ref
subst
680
def
trans
appThm
nil
80
ref
290
ref
cons
nil
cons
nil
cons
cons
681
def
80
ref
13
ref
314
ref
83
ref
appTerm
appTerm
200
ref
appTerm
absTerm
682
def
83
ref
appTerm
683
def
betaConv
nil
172
ref
682
ref
appTerm
684
def
axiom
nil
49
ref
684
remove
nil
cons
cons
51
ref
683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
682
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
685
def
subst
320
ref
trans
686
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
666
remove
cons
687
def
664
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
80
ref
37
ref
85
remove
appTerm
526
remove
appTerm
absTerm
688
def
52
ref
appTerm
689
def
betaConv
nil
172
ref
688
ref
appTerm
690
def
axiom
691
def
nil
49
ref
690
remove
nil
cons
cons
692
def
51
ref
689
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
688
ref
nil
cons
cons
693
def
592
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
694
def
nil
687
ref
95
ref
634
remove
cons
695
def
"R"
1
ref
var
696
def
639
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
49
ref
363
ref
696
ref
varTerm
697
def
appTerm
698
def
nil
cons
cons
51
ref
697
ref
nil
cons
699
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
49
ref
309
remove
697
ref
appTerm
nil
cons
cons
51
ref
33
ref
698
remove
appTerm
697
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
355
ref
357
remove
33
ref
363
remove
356
ref
appTerm
appTerm
356
ref
appTerm
appTerm
absTerm
700
def
697
remove
appTerm
701
def
betaConv
361
remove
354
remove
assume
eqMp
nil
49
ref
172
ref
700
ref
appTerm
nil
cons
cons
51
ref
701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
700
remove
nil
cons
cons
176
ref
699
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
702
def
subst
proveHyp
proveHyp
proveHyp
subst
246
ref
nil
118
ref
578
ref
nil
cons
cons
nil
cons
nil
cons
cons
211
ref
97
ref
5
ref
215
ref
refl
703
def
nil
"t"
125
ref
var
129
ref
nil
cons
704
def
cons
nil
cons
nil
cons
cons
346
remove
"B"
2
ref
cons
nil
cons
cons
210
ref
cons
"t"
0
ref
124
ref
"B"
varType
705
def
nil
cons
706
def
cons
opType
707
def
var
708
def
10
remove
0
ref
707
ref
0
ref
707
ref
2
ref
cons
opType
709
def
nil
cons
cons
opType
constTerm
710
def
708
ref
varTerm
711
def
appTerm
132
ref
711
ref
133
ref
appTerm
absTerm
712
def
appTerm
713
def
absTerm
714
def
711
ref
appTerm
715
def
betaConv
29
ref
0
ref
709
ref
2
ref
cons
opType
constTerm
716
def
refl
708
ref
713
remove
assume
sym
710
remove
712
remove
appTerm
711
ref
appTerm
717
def
assume
sym
deductAntisym
absThm
appThm
nil
716
ref
708
remove
717
remove
absTerm
appTerm
axiom
eqMp
nil
49
ref
716
remove
714
ref
appTerm
nil
cons
cons
51
ref
715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
"A"
707
ref
nil
cons
cons
nil
cons
"P"
709
remove
var
714
remove
nil
cons
cons
"x"
707
remove
var
711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
718
def
appThm
appThm
appThm
127
ref
132
ref
4
ref
134
ref
appTerm
719
def
absTerm
720
def
appTerm
refl
appThm
sym
nil
139
ref
704
ref
cons
nil
cons
nil
cons
cons
721
def
139
ref
13
ref
4
ref
215
ref
213
remove
appTerm
722
def
appTerm
appTerm
127
ref
216
remove
appTerm
appTerm
absTerm
723
def
140
ref
appTerm
724
def
betaConv
nil
219
ref
723
ref
appTerm
725
def
axiom
nil
49
ref
725
remove
nil
cons
cons
51
ref
724
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
723
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
subst
726
def
subst
154
ref
563
ref
5
ref
578
remove
564
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
118
ref
581
ref
nil
cons
cons
nil
cons
nil
cons
cons
726
remove
subst
154
ref
563
ref
5
ref
581
remove
564
remove
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
595
remove
assume
eqMp
nil
93
ref
31
ref
631
ref
appTerm
nil
cons
727
def
cons
95
ref
31
ref
563
remove
4
ref
580
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
49
ref
727
remove
cons
51
ref
632
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
631
remove
nil
cons
cons
120
ref
629
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
93
ref
605
remove
cons
728
def
95
ref
290
ref
cons
nil
cons
729
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
596
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
730
def
subst
deductAntisym
517
remove
eqMp
appThm
320
ref
trans
sym
86
ref
eqMp
eqMp
731
def
nil
15
ref
400
ref
appTerm
732
def
thm
nil
7
ref
25
ref
26
ref
appTerm
733
def
nil
cons
734
def
cons
nil
cons
nil
cons
cons
149
ref
subst
18
ref
4
ref
21
ref
733
ref
appTerm
26
ref
appTerm
appTerm
735
def
appTerm
refl
154
ref
32
ref
155
ref
158
ref
156
ref
13
ref
160
ref
733
ref
appTerm
appTerm
406
remove
404
ref
733
ref
appTerm
appTerm
appTerm
absTerm
736
def
159
ref
appTerm
737
def
betaConv
nil
31
ref
736
ref
appTerm
738
def
axiom
nil
49
ref
738
remove
nil
cons
cons
51
ref
737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
736
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
40
ref
38
ref
733
ref
appTerm
appTerm
739
def
refl
appThm
nil
80
ref
739
remove
nil
cons
cons
nil
cons
nil
cons
cons
416
remove
subst
trans
absThm
appThm
422
ref
trans
appThm
nil
80
ref
735
remove
nil
cons
cons
nil
cons
nil
cons
cons
427
ref
subst
trans
trans
sym
5
ref
258
ref
nil
247
remove
518
remove
nil
cons
cons
nil
cons
cons
32
ref
21
ref
430
ref
25
ref
264
ref
appTerm
appTerm
740
def
249
ref
appTerm
appTerm
250
ref
469
ref
appTerm
appTerm
absTerm
741
def
35
ref
appTerm
742
def
betaConv
262
ref
31
ref
741
ref
appTerm
743
def
absTerm
744
def
264
ref
appTerm
745
def
betaConv
246
ref
154
ref
262
ref
154
ref
32
ref
442
ref
467
ref
refl
746
def
35
ref
refl
747
def
appThm
748
def
appThm
748
remove
appThm
absThm
appThm
absThm
appThm
appThm
246
ref
442
ref
449
ref
appThm
8
ref
refl
749
def
appThm
appThm
246
ref
154
ref
32
ref
442
ref
nil
32
ref
251
ref
nil
cons
750
def
cons
nil
cons
nil
cons
cons
435
remove
subst
500
ref
trans
appThm
500
ref
appThm
absThm
appThm
appThm
246
ref
154
ref
32
ref
442
ref
436
remove
502
ref
trans
appThm
502
ref
appThm
nil
32
ref
444
ref
nil
cons
751
def
cons
752
def
262
ref
751
ref
cons
nil
cons
cons
nil
cons
cons
277
ref
subst
753
def
trans
absThm
appThm
appThm
246
ref
154
ref
32
ref
442
ref
nil
262
ref
750
remove
cons
nil
cons
nil
cons
cons
262
ref
21
ref
467
ref
8
ref
appTerm
appTerm
264
ref
appTerm
absTerm
754
def
264
ref
appTerm
755
def
betaConv
nil
31
ref
754
ref
appTerm
756
def
axiom
nil
49
ref
756
remove
nil
cons
cons
51
ref
755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
754
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
757
def
subst
500
ref
trans
appThm
500
ref
appThm
absThm
appThm
appThm
246
ref
154
ref
32
ref
442
ref
nil
262
ref
428
remove
cons
nil
cons
nil
cons
cons
757
remove
subst
502
ref
trans
appThm
502
ref
appThm
753
remove
trans
absThm
appThm
appThm
246
ref
154
ref
262
ref
154
ref
32
ref
442
ref
430
ref
refl
758
def
nil
32
ref
275
ref
cons
759
def
nil
cons
760
def
nil
cons
cons
761
def
500
ref
subst
appThm
762
def
500
ref
appThm
appThm
nil
32
ref
468
ref
nil
cons
763
def
cons
764
def
nil
cons
nil
cons
cons
765
def
500
ref
subst
appThm
absThm
appThm
absThm
appThm
appThm
246
ref
154
ref
262
ref
154
ref
32
ref
442
ref
762
remove
502
ref
appThm
nil
752
remove
262
ref
467
ref
264
ref
appTerm
766
def
nil
cons
cons
nil
cons
767
def
cons
nil
cons
cons
768
def
484
ref
subst
769
def
trans
appThm
765
remove
502
ref
subst
770
def
appThm
nil
32
ref
430
ref
468
ref
appTerm
771
def
468
ref
appTerm
772
def
nil
cons
cons
262
ref
430
ref
766
remove
appTerm
444
ref
appTerm
773
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
277
ref
subst
774
def
trans
absThm
appThm
absThm
appThm
appThm
246
ref
154
ref
262
ref
154
ref
32
ref
442
ref
758
ref
761
ref
502
ref
subst
appThm
775
def
500
ref
appThm
768
remove
476
ref
subst
trans
appThm
770
remove
appThm
774
ref
trans
absThm
appThm
absThm
appThm
appThm
154
ref
262
ref
154
ref
32
ref
442
ref
775
remove
502
remove
appThm
nil
32
ref
503
remove
cons
767
remove
cons
nil
cons
cons
476
ref
subst
258
ref
769
remove
appThm
trans
trans
appThm
nil
32
ref
469
remove
nil
cons
cons
776
def
nil
cons
nil
cons
cons
500
remove
subst
nil
776
remove
262
ref
763
ref
cons
nil
cons
777
def
cons
nil
cons
cons
476
remove
subst
trans
258
ref
nil
764
remove
777
remove
cons
nil
cons
cons
484
remove
subst
appThm
trans
appThm
nil
32
ref
243
ref
772
ref
appTerm
nil
cons
cons
262
ref
243
remove
773
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
277
remove
subst
774
remove
trans
trans
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
246
ref
154
ref
262
ref
154
ref
32
ref
nil
120
ref
763
ref
cons
nil
cons
nil
cons
cons
382
ref
subst
absThm
appThm
422
ref
trans
absThm
appThm
422
ref
trans
appThm
246
ref
450
ref
appThm
246
ref
154
ref
32
ref
nil
120
ref
751
ref
cons
nil
cons
nil
cons
cons
382
ref
subst
absThm
appThm
422
ref
trans
appThm
778
def
778
ref
778
ref
778
remove
246
ref
154
ref
262
ref
154
ref
32
ref
442
ref
nil
7
ref
751
remove
cons
760
remove
cons
nil
cons
cons
7
ref
18
ref
599
ref
appTerm
18
ref
21
ref
771
remove
16
ref
appTerm
779
def
appTerm
467
ref
443
ref
16
ref
appTerm
780
def
appTerm
781
def
appTerm
782
def
appTerm
21
ref
781
ref
appTerm
783
def
443
ref
522
ref
appTerm
784
def
appTerm
785
def
appTerm
786
def
appTerm
absTerm
787
def
16
ref
appTerm
788
def
betaConv
32
ref
31
ref
787
ref
appTerm
789
def
absTerm
790
def
35
ref
appTerm
791
def
betaConv
262
ref
31
ref
790
ref
appTerm
792
def
absTerm
793
def
264
ref
appTerm
794
def
betaConv
nil
49
ref
31
ref
793
ref
appTerm
795
def
nil
cons
cons
796
def
nil
cons
nil
cons
cons
594
ref
subst
sym
nil
49
ref
4
ref
795
remove
appTerm
nil
cons
797
def
cons
798
def
291
ref
cons
nil
cons
cons
799
def
67
ref
subst
799
remove
137
ref
subst
nil
31
ref
262
ref
31
ref
32
ref
31
ref
7
ref
783
ref
779
ref
appTerm
800
def
absTerm
appTerm
absTerm
appTerm
absTerm
801
def
appTerm
802
def
axiom
nil
49
ref
802
ref
nil
cons
803
def
cons
804
def
291
ref
cons
nil
cons
cons
805
def
116
ref
subst
proveHyp
604
remove
nil
606
ref
51
ref
33
ref
802
ref
appTerm
284
ref
appTerm
806
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
798
remove
51
ref
33
ref
603
ref
appTerm
807
def
806
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
155
ref
5
ref
154
ref
262
ref
154
ref
32
ref
97
ref
154
ref
7
ref
246
ref
7
ref
599
ref
absTerm
808
def
16
ref
appTerm
betaConv
809
def
appThm
7
ref
786
ref
absTerm
810
def
16
ref
appTerm
betaConv
811
def
appThm
absThm
appThm
appThm
246
ref
154
ref
7
ref
809
remove
absThm
appThm
appThm
154
ref
7
ref
811
remove
absThm
appThm
appThm
appThm
nil
209
ref
808
remove
nil
cons
cons
"q"
14
ref
var
812
def
810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
211
ref
"q"
125
remove
var
813
def
13
ref
127
ref
132
ref
18
ref
212
ref
appTerm
814
def
813
ref
varTerm
815
def
133
ref
appTerm
816
def
appTerm
absTerm
appTerm
appTerm
18
ref
214
remove
appTerm
127
ref
132
ref
816
ref
absTerm
817
def
appTerm
818
def
appTerm
appTerm
absTerm
819
def
815
ref
appTerm
820
def
betaConv
139
ref
219
ref
819
ref
appTerm
821
def
absTerm
822
def
140
ref
appTerm
823
def
betaConv
nil
219
ref
822
ref
appTerm
824
def
axiom
nil
49
ref
824
remove
nil
cons
cons
51
ref
823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
822
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
821
remove
nil
cons
cons
51
ref
820
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
819
remove
nil
cons
cons
224
ref
815
ref
nil
cons
cons
nil
cons
825
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
826
def
subst
eqMp
246
ref
nil
80
ref
599
ref
nil
cons
827
def
cons
nil
cons
nil
cons
cons
421
remove
subst
appThm
97
ref
154
ref
7
ref
246
ref
7
ref
782
ref
absTerm
828
def
16
ref
appTerm
betaConv
829
def
appThm
7
ref
785
ref
absTerm
830
def
16
ref
appTerm
betaConv
831
def
appThm
absThm
appThm
appThm
246
ref
154
ref
7
ref
829
ref
absThm
appThm
appThm
154
ref
7
ref
831
ref
absThm
appThm
appThm
appThm
nil
209
ref
828
ref
nil
cons
832
def
cons
812
ref
830
ref
nil
cons
833
def
cons
nil
cons
cons
nil
cons
cons
826
ref
subst
eqMp
appThm
trans
absThm
appThm
97
ref
154
ref
32
ref
246
ref
600
ref
35
ref
appTerm
betaConv
834
def
appThm
32
ref
18
ref
31
ref
828
remove
appTerm
835
def
appTerm
31
ref
830
remove
appTerm
836
def
appTerm
absTerm
837
def
35
ref
appTerm
betaConv
838
def
appThm
absThm
appThm
appThm
246
ref
154
ref
32
ref
834
ref
absThm
appThm
appThm
154
ref
32
ref
838
remove
absThm
appThm
appThm
appThm
nil
209
ref
600
remove
nil
cons
839
def
cons
812
ref
837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
826
ref
subst
eqMp
18
ref
601
remove
appTerm
refl
97
ref
154
ref
32
ref
246
ref
32
ref
835
remove
absTerm
840
def
35
ref
appTerm
betaConv
841
def
appThm
32
ref
836
remove
absTerm
842
def
35
ref
appTerm
betaConv
843
def
appThm
absThm
appThm
appThm
246
ref
154
ref
32
ref
841
ref
absThm
appThm
appThm
154
ref
32
ref
843
ref
absThm
appThm
appThm
appThm
nil
209
ref
840
ref
nil
cons
844
def
cons
812
ref
842
ref
nil
cons
845
def
cons
nil
cons
cons
nil
cons
cons
826
ref
subst
eqMp
appThm
trans
trans
absThm
appThm
97
ref
154
ref
262
ref
246
ref
602
ref
264
ref
appTerm
betaConv
846
def
appThm
262
ref
18
ref
31
ref
840
remove
appTerm
847
def
appTerm
31
ref
842
remove
appTerm
848
def
appTerm
absTerm
849
def
264
ref
appTerm
betaConv
850
def
appThm
absThm
appThm
appThm
246
ref
154
ref
262
ref
846
ref
absThm
appThm
appThm
154
ref
262
ref
850
remove
absThm
appThm
appThm
appThm
nil
209
ref
615
remove
cons
812
ref
849
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
826
ref
subst
eqMp
18
ref
603
remove
appTerm
851
def
refl
97
ref
154
ref
262
ref
246
ref
262
ref
847
remove
absTerm
852
def
264
ref
appTerm
betaConv
853
def
appThm
262
ref
848
remove
absTerm
854
def
264
ref
appTerm
betaConv
855
def
appThm
absThm
appThm
appThm
246
ref
154
ref
262
ref
853
ref
absThm
appThm
appThm
154
ref
262
ref
855
ref
absThm
appThm
appThm
appThm
nil
209
ref
852
ref
nil
cons
856
def
cons
812
ref
854
ref
nil
cons
857
def
cons
nil
cons
cons
nil
cons
cons
826
remove
subst
eqMp
appThm
trans
trans
appThm
appThm
807
ref
refl
nil
80
ref
803
ref
cons
nil
cons
nil
cons
cons
590
ref
subst
858
def
appThm
appThm
sym
nil
49
ref
4
ref
851
remove
18
ref
31
ref
852
remove
appTerm
859
def
appTerm
31
ref
854
remove
appTerm
860
def
appTerm
861
def
appTerm
appTerm
862
def
nil
cons
863
def
cons
51
ref
807
remove
4
ref
802
remove
appTerm
864
def
appTerm
nil
cons
865
def
cons
nil
cons
cons
nil
cons
cons
866
def
67
ref
subst
866
remove
137
ref
subst
nil
606
ref
51
ref
864
remove
nil
cons
867
def
cons
nil
cons
cons
nil
cons
cons
868
def
67
ref
subst
868
remove
137
ref
subst
858
remove
805
ref
67
ref
subst
805
remove
137
ref
subst
nil
606
ref
51
ref
861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
635
ref
51
ref
13
ref
4
ref
58
remove
appTerm
appTerm
37
ref
585
remove
appTerm
869
def
638
ref
appTerm
appTerm
nil
cons
870
def
cons
nil
cons
871
def
cons
nil
cons
cons
872
def
67
ref
subst
872
remove
137
ref
subst
13
ref
"_530"
1
ref
var
873
def
13
ref
4
ref
18
ref
873
remove
varTerm
874
def
appTerm
54
ref
appTerm
appTerm
appTerm
37
ref
4
ref
874
remove
appTerm
appTerm
638
ref
appTerm
appTerm
absTerm
875
def
52
ref
appTerm
876
def
appTerm
refl
877
def
875
ref
284
ref
appTerm
betaConv
appThm
97
ref
876
remove
betaConv
appThm
878
def
13
ref
4
ref
391
ref
54
ref
appTerm
appTerm
appTerm
37
ref
319
ref
appTerm
879
def
638
ref
appTerm
appTerm
refl
appThm
trans
875
remove
refl
880
def
651
ref
appThm
eqMp
sym
97
ref
5
ref
90
ref
395
ref
subst
881
def
appThm
320
ref
trans
appThm
197
ref
320
ref
appThm
882
def
658
ref
appThm
660
ref
677
ref
subst
trans
appThm
321
ref
80
ref
13
ref
13
ref
72
ref
appTerm
883
def
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
884
def
83
ref
appTerm
885
def
betaConv
nil
172
ref
884
ref
appTerm
886
def
axiom
nil
49
ref
886
remove
nil
cons
cons
51
ref
885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
884
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
887
def
subst
888
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
663
ref
95
ref
870
ref
cons
nil
cons
889
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
667
ref
871
remove
cons
nil
cons
cons
890
def
67
ref
subst
890
remove
137
ref
subst
877
remove
"_528"
1
ref
var
891
def
13
ref
4
ref
18
ref
891
remove
varTerm
892
def
appTerm
54
ref
appTerm
appTerm
appTerm
37
ref
4
ref
892
remove
appTerm
appTerm
638
ref
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
878
remove
13
ref
4
ref
322
ref
54
ref
appTerm
appTerm
appTerm
37
ref
384
ref
appTerm
893
def
638
ref
appTerm
appTerm
refl
appThm
trans
880
remove
673
ref
appThm
eqMp
sym
97
ref
5
ref
90
ref
326
ref
subst
894
def
appThm
appThm
197
ref
385
ref
appThm
895
def
658
remove
appThm
660
ref
655
ref
subst
trans
appThm
662
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
687
ref
889
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
694
ref
nil
687
ref
695
ref
696
ref
870
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
896
def
subst
197
ref
nil
616
ref
nil
cons
nil
cons
cons
211
ref
97
ref
5
ref
127
ref
refl
897
def
718
remove
appThm
appThm
appThm
215
ref
720
remove
appTerm
refl
appThm
sym
721
remove
226
remove
subst
eqMp
898
def
subst
899
def
subst
208
ref
262
ref
5
ref
846
remove
appThm
nil
118
ref
839
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
32
ref
5
ref
834
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
49
ref
859
remove
nil
cons
cons
51
ref
860
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
896
remove
subst
197
ref
nil
118
ref
856
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
262
ref
5
ref
853
remove
appThm
nil
118
ref
844
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
32
ref
5
ref
841
remove
appThm
nil
118
ref
832
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
7
ref
5
ref
829
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
118
ref
857
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
262
ref
5
ref
855
remove
appThm
nil
118
ref
845
remove
cons
nil
cons
nil
cons
cons
899
ref
subst
208
ref
32
ref
5
ref
843
remove
appThm
nil
118
ref
833
remove
cons
nil
cons
nil
cons
cons
899
remove
subst
208
ref
7
ref
5
ref
831
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
37
ref
207
ref
262
ref
207
ref
32
ref
4
ref
599
remove
appTerm
900
def
absTerm
901
def
appTerm
absTerm
902
def
appTerm
appTerm
refl
97
ref
197
ref
208
ref
262
ref
262
ref
207
ref
32
ref
207
ref
7
ref
4
ref
782
ref
appTerm
903
def
absTerm
904
def
appTerm
absTerm
905
def
appTerm
absTerm
906
def
264
ref
appTerm
betaConv
907
def
absThm
appThm
appThm
208
ref
262
ref
262
ref
207
ref
32
ref
207
ref
7
ref
4
ref
785
ref
appTerm
908
def
absTerm
909
def
appTerm
absTerm
910
def
appTerm
absTerm
911
def
264
ref
appTerm
betaConv
912
def
absThm
appThm
appThm
appThm
208
ref
262
ref
197
ref
907
remove
appThm
912
remove
appThm
absThm
appThm
appThm
nil
209
ref
906
remove
nil
cons
cons
812
ref
911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
211
ref
813
ref
13
ref
37
ref
722
ref
appTerm
913
def
215
ref
817
remove
appTerm
914
def
appTerm
appTerm
215
ref
132
ref
37
ref
212
remove
appTerm
915
def
816
ref
appTerm
absTerm
appTerm
appTerm
absTerm
916
def
815
ref
appTerm
917
def
betaConv
139
ref
219
ref
916
ref
appTerm
918
def
absTerm
919
def
140
ref
appTerm
920
def
betaConv
nil
219
ref
919
ref
appTerm
921
def
axiom
nil
49
ref
921
remove
nil
cons
cons
51
ref
920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
919
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
918
remove
nil
cons
cons
51
ref
917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
916
remove
nil
cons
cons
825
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
922
def
subst
923
def
subst
eqMp
208
ref
262
ref
97
ref
197
ref
208
ref
32
ref
905
ref
35
ref
appTerm
betaConv
924
def
absThm
appThm
appThm
208
ref
32
ref
910
ref
35
ref
appTerm
betaConv
925
def
absThm
appThm
appThm
appThm
208
ref
32
ref
197
ref
924
remove
appThm
925
remove
appThm
absThm
appThm
appThm
nil
209
ref
905
remove
nil
cons
cons
812
ref
910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
923
ref
subst
eqMp
208
ref
32
ref
97
ref
197
ref
208
ref
7
ref
904
ref
16
ref
appTerm
betaConv
926
def
absThm
appThm
appThm
208
ref
7
ref
909
ref
16
ref
appTerm
betaConv
927
def
absThm
appThm
appThm
appThm
208
ref
7
ref
197
ref
926
remove
appThm
927
remove
appThm
absThm
appThm
appThm
nil
209
ref
904
remove
nil
cons
cons
812
ref
909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
923
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
97
ref
197
ref
208
ref
262
ref
902
ref
264
ref
appTerm
betaConv
928
def
absThm
appThm
appThm
208
ref
262
ref
262
ref
207
ref
32
ref
207
ref
7
ref
37
ref
903
ref
appTerm
908
ref
appTerm
929
def
absTerm
930
def
appTerm
absTerm
931
def
appTerm
absTerm
932
def
264
ref
appTerm
betaConv
933
def
absThm
appThm
appThm
appThm
208
ref
262
ref
197
ref
928
remove
appThm
933
remove
appThm
absThm
appThm
appThm
nil
209
ref
902
remove
nil
cons
cons
812
ref
932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
923
ref
subst
eqMp
208
ref
262
ref
97
ref
197
ref
208
ref
32
ref
901
ref
35
ref
appTerm
betaConv
934
def
absThm
appThm
appThm
208
ref
32
ref
931
ref
35
ref
appTerm
betaConv
935
def
absThm
appThm
appThm
appThm
208
ref
32
ref
197
ref
934
remove
appThm
935
remove
appThm
absThm
appThm
appThm
nil
209
ref
901
remove
nil
cons
cons
812
ref
931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
923
remove
subst
eqMp
208
ref
32
ref
97
ref
37
ref
900
ref
appTerm
936
def
refl
937
def
208
ref
7
ref
930
ref
16
ref
appTerm
betaConv
938
def
absThm
appThm
appThm
appThm
208
ref
7
ref
937
remove
938
remove
appThm
absThm
appThm
appThm
nil
812
remove
930
remove
nil
cons
cons
49
ref
900
ref
nil
cons
939
def
cons
940
def
nil
cons
cons
nil
cons
cons
211
ref
813
ref
13
ref
636
ref
914
ref
appTerm
appTerm
215
ref
132
ref
636
ref
816
ref
appTerm
absTerm
941
def
appTerm
appTerm
absTerm
942
def
815
ref
appTerm
943
def
betaConv
49
ref
219
ref
942
ref
appTerm
944
def
absTerm
945
def
52
ref
appTerm
946
def
betaConv
nil
172
ref
945
ref
appTerm
947
def
axiom
nil
49
ref
947
remove
nil
cons
cons
51
ref
946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
945
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
944
remove
nil
cons
cons
51
ref
943
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
942
remove
nil
cons
cons
825
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
948
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
862
remove
assume
eqMp
nil
49
ref
207
ref
262
ref
207
ref
32
ref
207
ref
7
ref
936
remove
929
ref
appTerm
949
def
absTerm
950
def
appTerm
951
def
absTerm
952
def
appTerm
953
def
absTerm
954
def
appTerm
955
def
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
118
ref
262
ref
33
ref
954
ref
264
ref
appTerm
956
def
appTerm
284
ref
appTerm
957
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
957
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
956
ref
nil
cons
958
def
cons
291
ref
cons
nil
cons
cons
959
def
67
ref
subst
959
remove
137
ref
subst
956
ref
betaConv
956
remove
assume
eqMp
nil
49
ref
953
ref
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
118
ref
32
ref
33
ref
952
ref
35
ref
appTerm
960
def
appTerm
284
ref
appTerm
961
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
961
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
960
ref
nil
cons
962
def
cons
291
ref
cons
nil
cons
cons
963
def
67
ref
subst
963
remove
137
ref
subst
960
ref
betaConv
960
remove
assume
eqMp
nil
49
ref
951
ref
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
118
ref
7
ref
33
ref
950
ref
16
ref
appTerm
964
def
appTerm
284
ref
appTerm
965
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
965
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
964
ref
nil
cons
966
def
cons
291
ref
cons
nil
cons
cons
967
def
67
ref
subst
967
remove
137
ref
subst
964
ref
betaConv
964
remove
assume
eqMp
nil
49
ref
949
remove
nil
cons
968
def
cons
291
ref
cons
nil
cons
cons
969
def
116
ref
subst
proveHyp
969
ref
67
ref
subst
969
remove
137
ref
subst
nil
49
ref
929
remove
nil
cons
970
def
cons
291
ref
cons
nil
cons
cons
971
def
67
ref
subst
971
remove
137
ref
subst
nil
49
ref
908
ref
nil
cons
972
def
cons
291
ref
cons
nil
cons
cons
973
def
67
ref
subst
973
remove
137
ref
subst
nil
"_2198"
6
ref
var
974
def
275
ref
cons
975
def
"_2197"
6
ref
var
976
def
780
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
32
ref
21
ref
430
ref
976
ref
varTerm
977
def
appTerm
35
ref
appTerm
appTerm
443
ref
977
ref
appTerm
appTerm
absTerm
978
def
974
remove
varTerm
979
def
appTerm
980
def
betaConv
602
ref
977
ref
appTerm
981
def
betaConv
nil
606
ref
51
ref
981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
616
ref
120
ref
977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
978
ref
appTerm
nil
cons
cons
51
ref
980
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
978
remove
nil
cons
cons
120
ref
979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
982
def
subst
nil
49
ref
21
ref
430
ref
780
ref
appTerm
264
ref
appTerm
983
def
appTerm
984
def
781
ref
appTerm
985
def
nil
cons
cons
51
ref
984
remove
784
ref
appTerm
986
def
nil
cons
cons
nil
cons
987
def
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
"_2201"
6
ref
var
988
def
275
ref
cons
"_2200"
6
ref
var
989
def
121
ref
cons
"_2199"
6
ref
var
990
def
157
ref
cons
nil
cons
cons
cons
nil
cons
cons
7
ref
21
ref
430
ref
990
remove
varTerm
991
def
appTerm
992
def
430
ref
989
remove
varTerm
993
def
appTerm
16
ref
appTerm
appTerm
appTerm
430
ref
992
ref
993
ref
appTerm
appTerm
16
ref
appTerm
appTerm
absTerm
994
def
988
remove
varTerm
995
def
appTerm
996
def
betaConv
32
ref
31
ref
7
ref
21
ref
992
ref
780
ref
appTerm
appTerm
430
ref
992
remove
35
ref
appTerm
appTerm
16
ref
appTerm
appTerm
absTerm
appTerm
absTerm
997
def
993
ref
appTerm
998
def
betaConv
801
ref
991
ref
appTerm
999
def
betaConv
nil
804
ref
51
ref
999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
801
ref
nil
cons
cons
1000
def
120
ref
991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
997
ref
appTerm
nil
cons
cons
51
ref
998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
997
remove
nil
cons
cons
120
ref
993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
994
ref
appTerm
nil
cons
cons
51
ref
996
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
994
remove
nil
cons
cons
120
ref
995
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
49
ref
21
ref
443
ref
617
ref
appTerm
1001
def
appTerm
1002
def
983
ref
appTerm
1003
def
nil
cons
cons
51
ref
1002
remove
784
ref
appTerm
1004
def
nil
cons
cons
nil
cons
1005
def
cons
nil
cons
cons
137
ref
subst
proveHyp
747
ref
nil
49
ref
38
ref
35
ref
appTerm
1006
def
nil
cons
cons
1007
def
51
ref
21
ref
617
remove
appTerm
522
remove
appTerm
1008
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
975
remove
976
remove
121
ref
cons
nil
cons
cons
nil
cons
cons
982
remove
subst
eqMp
nil
49
ref
18
ref
1006
remove
appTerm
1008
remove
appTerm
nil
cons
cons
1005
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_2213"
6
ref
var
1009
def
574
remove
cons
"_2211"
6
ref
var
1010
def
620
remove
cons
"_2212"
6
ref
var
1011
def
157
ref
cons
"_2210"
6
ref
var
1012
def
157
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
"b"
1
ref
var
1013
def
37
ref
4
ref
21
ref
1012
remove
varTerm
1014
def
appTerm
1011
remove
varTerm
1015
def
appTerm
1016
def
appTerm
1017
def
appTerm
1018
def
4
ref
21
ref
1010
remove
varTerm
1019
def
appTerm
1009
remove
varTerm
1020
def
appTerm
1021
def
appTerm
1022
def
appTerm
nil
cons
cons
"a"
1
ref
var
1023
def
21
ref
430
ref
1014
remove
appTerm
1019
remove
appTerm
appTerm
430
ref
1015
remove
appTerm
1020
remove
appTerm
appTerm
1024
def
nil
cons
1025
def
cons
nil
cons
cons
nil
cons
cons
nil
49
ref
13
ref
1023
ref
varTerm
1026
def
appTerm
1027
def
284
ref
appTerm
1028
def
nil
cons
1029
def
cons
1030
def
51
ref
13
ref
37
ref
1026
ref
appTerm
1013
ref
varTerm
1031
def
appTerm
1032
def
appTerm
33
ref
4
ref
1031
ref
appTerm
1033
def
appTerm
1034
def
1026
ref
appTerm
appTerm
nil
cons
1035
def
cons
nil
cons
1036
def
cons
nil
cons
cons
1037
def
67
ref
subst
1037
remove
137
ref
subst
13
ref
"_606"
1
ref
var
1038
def
13
ref
37
ref
1038
remove
varTerm
1039
def
appTerm
1031
ref
appTerm
appTerm
1034
ref
1039
remove
appTerm
appTerm
absTerm
1040
def
1026
ref
appTerm
1041
def
appTerm
refl
1042
def
1040
ref
284
ref
appTerm
betaConv
appThm
97
ref
1041
remove
betaConv
appThm
1043
def
13
ref
648
remove
1031
ref
appTerm
1044
def
appTerm
1034
ref
284
ref
appTerm
appTerm
refl
appThm
trans
1040
remove
refl
1045
def
1028
remove
assume
1046
def
appThm
eqMp
sym
97
ref
nil
80
ref
1031
ref
nil
cons
1047
def
cons
nil
cons
nil
cons
cons
1048
def
655
ref
subst
1049
def
appThm
nil
80
ref
1033
ref
nil
cons
1050
def
cons
nil
cons
nil
cons
cons
1051
def
590
ref
subst
1048
ref
204
ref
subst
trans
appThm
nil
176
ref
1047
remove
cons
nil
cons
nil
cons
cons
593
ref
subst
1052
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
1029
ref
cons
1053
def
95
ref
1035
ref
cons
nil
cons
1054
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1027
remove
72
ref
appTerm
1055
def
nil
cons
1056
def
cons
1057
def
1036
remove
cons
nil
cons
cons
1058
def
67
ref
subst
1058
remove
137
ref
subst
1042
remove
"_604"
1
ref
var
1059
def
13
ref
37
ref
1059
remove
varTerm
1060
def
appTerm
1031
ref
appTerm
appTerm
1034
ref
1060
remove
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1043
remove
13
ref
671
remove
1031
ref
appTerm
1061
def
appTerm
1034
remove
72
ref
appTerm
appTerm
refl
appThm
trans
1045
remove
1055
remove
assume
1062
def
appThm
eqMp
sym
97
ref
1048
ref
677
ref
subst
1063
def
appThm
1051
ref
80
ref
13
ref
411
remove
72
ref
appTerm
appTerm
72
ref
appTerm
absTerm
1064
def
83
ref
appTerm
1065
def
betaConv
nil
172
ref
1064
ref
appTerm
1066
def
axiom
nil
49
ref
1066
remove
nil
cons
cons
51
ref
1065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1064
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1067
def
subst
appThm
888
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
1056
remove
cons
1068
def
1054
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
688
ref
1026
ref
appTerm
1069
def
betaConv
691
ref
nil
692
ref
51
ref
1069
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
693
ref
176
ref
1026
ref
nil
cons
1070
def
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1071
def
nil
1068
ref
95
ref
1029
remove
cons
1072
def
696
ref
1035
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1073
def
subst
155
ref
nil
1013
ref
1022
ref
nil
cons
1074
def
cons
1023
ref
1017
remove
nil
cons
1075
def
cons
nil
cons
cons
nil
cons
cons
nil
1030
ref
51
ref
13
ref
4
ref
1032
remove
appTerm
appTerm
18
ref
4
ref
1026
ref
appTerm
1076
def
appTerm
1033
ref
appTerm
appTerm
nil
cons
1077
def
cons
nil
cons
1078
def
cons
nil
cons
cons
1079
def
67
ref
subst
1079
remove
137
ref
subst
13
ref
"_610"
1
ref
var
1080
def
13
ref
4
ref
37
ref
1080
remove
varTerm
1081
def
appTerm
1031
ref
appTerm
appTerm
appTerm
18
ref
4
ref
1081
remove
appTerm
appTerm
1033
ref
appTerm
appTerm
absTerm
1082
def
1026
ref
appTerm
1083
def
appTerm
refl
1084
def
1082
ref
284
ref
appTerm
betaConv
appThm
97
ref
1083
remove
betaConv
appThm
1085
def
13
ref
4
ref
1044
remove
appTerm
appTerm
649
ref
1033
ref
appTerm
appTerm
refl
appThm
trans
1082
remove
refl
1086
def
1046
ref
appThm
eqMp
sym
97
ref
5
ref
1049
ref
appThm
appThm
657
ref
1033
ref
refl
1087
def
appThm
1051
ref
326
ref
subst
trans
appThm
nil
176
ref
1050
remove
cons
nil
cons
nil
cons
cons
593
ref
subst
1088
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1053
ref
95
ref
1077
ref
cons
nil
cons
1089
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1057
ref
1078
remove
cons
nil
cons
cons
1090
def
67
ref
subst
1090
remove
137
ref
subst
1084
remove
"_608"
1
ref
var
1091
def
13
ref
4
ref
37
ref
1091
remove
varTerm
1092
def
appTerm
1031
ref
appTerm
appTerm
appTerm
18
ref
4
ref
1092
remove
appTerm
appTerm
1033
ref
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1085
remove
13
ref
4
ref
1061
remove
appTerm
appTerm
672
ref
1033
ref
appTerm
appTerm
refl
appThm
trans
1086
remove
1062
ref
appThm
eqMp
sym
97
ref
5
ref
1063
ref
appThm
385
ref
trans
appThm
679
ref
1087
ref
appThm
1051
ref
395
ref
subst
trans
appThm
686
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1068
ref
1089
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1071
ref
nil
1068
ref
1072
ref
696
ref
1077
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1093
def
subst
246
ref
nil
1023
ref
1016
ref
nil
cons
1094
def
cons
nil
cons
1095
def
nil
cons
cons
nil
80
ref
1070
remove
cons
nil
cons
nil
cons
cons
204
ref
subst
1096
def
subst
appThm
nil
1023
ref
1021
ref
nil
cons
1097
def
cons
nil
cons
1098
def
nil
cons
cons
1096
ref
subst
appThm
trans
appThm
1024
ref
refl
appThm
trans
1018
remove
refl
nil
51
ref
1025
ref
cons
1099
def
49
ref
1074
ref
cons
nil
cons
cons
nil
cons
cons
nil
180
ref
89
ref
cons
182
ref
81
ref
cons
nil
cons
cons
1100
def
nil
cons
cons
180
ref
13
ref
231
ref
appTerm
37
ref
185
ref
appTerm
1101
def
183
ref
appTerm
appTerm
absTerm
1102
def
185
ref
appTerm
1103
def
betaConv
182
ref
172
ref
1102
ref
appTerm
1104
def
absTerm
1105
def
183
ref
appTerm
1106
def
betaConv
nil
172
ref
1105
ref
appTerm
1107
def
axiom
nil
49
ref
1107
remove
nil
cons
cons
51
ref
1106
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1105
remove
nil
cons
cons
194
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1104
remove
nil
cons
cons
51
ref
1103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1102
remove
nil
cons
cons
195
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1108
def
subst
appThm
nil
355
ref
1074
remove
cons
1099
ref
49
ref
1075
remove
cons
nil
cons
cons
cons
nil
cons
cons
97
ref
nil
"t3"
1
ref
var
1109
def
356
ref
nil
cons
1110
def
cons
1111
def
1100
remove
cons
nil
cons
cons
1109
ref
13
ref
230
remove
1101
remove
1109
ref
varTerm
1112
def
appTerm
appTerm
1113
def
appTerm
37
ref
231
remove
appTerm
1112
ref
appTerm
1114
def
appTerm
1115
def
absTerm
1116
def
1112
ref
appTerm
1117
def
betaConv
180
ref
172
ref
1116
ref
appTerm
1118
def
absTerm
1119
def
185
ref
appTerm
1120
def
betaConv
182
ref
172
ref
1119
ref
appTerm
1121
def
absTerm
1122
def
183
ref
appTerm
1123
def
betaConv
172
ref
refl
1124
def
182
ref
1124
ref
180
ref
1124
ref
1109
ref
1115
remove
assume
sym
13
ref
1114
remove
appTerm
1113
remove
appTerm
1125
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
172
ref
182
ref
172
ref
180
ref
172
ref
1109
remove
1125
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
49
ref
172
ref
1122
ref
appTerm
nil
cons
cons
51
ref
1123
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1122
remove
nil
cons
cons
194
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1121
remove
nil
cons
cons
51
ref
1120
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1119
remove
nil
cons
cons
195
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1118
remove
nil
cons
cons
51
ref
1117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1116
remove
nil
cons
cons
176
ref
1112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1126
def
subst
appThm
nil
1111
remove
180
ref
81
remove
cons
182
ref
89
ref
cons
nil
cons
cons
cons
nil
cons
cons
1126
remove
subst
appThm
sym
197
ref
1108
ref
appThm
356
ref
refl
appThm
eqMp
1127
def
subst
trans
nil
1013
ref
37
ref
1022
remove
appTerm
1024
remove
appTerm
nil
cons
1128
def
cons
1095
remove
cons
nil
cons
cons
nil
1030
ref
51
ref
13
ref
33
ref
1026
ref
appTerm
1031
ref
appTerm
appTerm
37
ref
1076
remove
appTerm
1129
def
1031
ref
appTerm
appTerm
nil
cons
1130
def
cons
nil
cons
1131
def
cons
nil
cons
cons
1132
def
67
ref
subst
1132
remove
137
ref
subst
13
ref
"_630"
1
ref
var
1133
def
13
ref
33
ref
1133
remove
varTerm
1134
def
appTerm
1031
ref
appTerm
appTerm
37
ref
4
ref
1134
remove
appTerm
appTerm
1031
ref
appTerm
appTerm
absTerm
1135
def
1026
ref
appTerm
1136
def
appTerm
refl
1137
def
1135
ref
284
ref
appTerm
betaConv
appThm
97
ref
1136
remove
betaConv
appThm
1138
def
13
ref
310
ref
1031
ref
appTerm
appTerm
879
ref
1031
ref
appTerm
appTerm
refl
appThm
trans
1135
remove
refl
1139
def
1046
ref
appThm
eqMp
sym
97
ref
1048
ref
80
ref
13
ref
310
ref
83
ref
appTerm
appTerm
72
ref
appTerm
absTerm
1140
def
83
ref
appTerm
1141
def
betaConv
nil
172
ref
1140
ref
appTerm
1142
def
axiom
nil
49
ref
1142
remove
nil
cons
cons
51
ref
1141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1140
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1143
def
subst
appThm
882
ref
1031
ref
refl
1144
def
appThm
1063
remove
trans
appThm
888
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1053
ref
95
ref
1130
ref
cons
nil
cons
1145
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1057
ref
1131
remove
cons
nil
cons
cons
1146
def
67
ref
subst
1146
remove
137
ref
subst
1137
remove
"_628"
1
ref
var
1147
def
13
ref
33
ref
1147
remove
varTerm
1148
def
appTerm
1031
ref
appTerm
appTerm
37
ref
4
ref
1148
remove
appTerm
appTerm
1031
ref
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1138
remove
13
ref
169
ref
1031
ref
appTerm
appTerm
893
ref
1031
ref
appTerm
appTerm
refl
appThm
trans
1139
remove
1062
ref
appThm
eqMp
sym
97
ref
1048
ref
179
ref
subst
appThm
895
ref
1144
remove
appThm
1049
remove
trans
appThm
1052
remove
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1068
ref
1145
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1071
ref
nil
1068
ref
1072
ref
696
ref
1130
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1149
def
subst
nil
49
ref
1094
ref
cons
51
ref
1128
ref
cons
nil
cons
cons
nil
cons
cons
1150
def
67
ref
subst
1150
remove
137
ref
subst
nil
1013
ref
1025
ref
cons
1098
remove
cons
nil
cons
cons
1149
remove
subst
nil
49
ref
1097
ref
cons
1099
remove
nil
cons
cons
nil
cons
cons
1151
def
67
ref
subst
1151
remove
137
ref
subst
758
remove
1016
remove
assume
appThm
1021
remove
assume
appThm
eqMp
nil
93
ref
1097
remove
cons
95
ref
1025
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
1094
remove
cons
95
ref
1128
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
49
ref
18
ref
1003
remove
appTerm
1004
remove
appTerm
nil
cons
cons
987
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"z"
6
ref
var
1152
def
784
remove
nil
cons
cons
1153
def
"y"
6
ref
var
1154
def
983
remove
nil
cons
1155
def
cons
120
ref
1001
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
1013
ref
37
ref
4
ref
21
ref
120
ref
varTerm
1156
def
appTerm
1157
def
1154
ref
varTerm
1158
def
appTerm
1159
def
appTerm
1160
def
appTerm
1161
def
4
ref
1157
remove
1152
ref
varTerm
1162
def
appTerm
1163
def
appTerm
1164
def
appTerm
nil
cons
cons
1023
ref
21
ref
1158
remove
appTerm
1162
remove
appTerm
1165
def
nil
cons
1166
def
cons
nil
cons
cons
nil
cons
cons
1073
ref
subst
155
ref
nil
1013
ref
1164
remove
nil
cons
1167
def
cons
1023
ref
1160
remove
nil
cons
1168
def
cons
nil
cons
cons
nil
cons
cons
1093
remove
subst
246
ref
nil
1023
ref
1159
remove
nil
cons
cons
nil
cons
nil
cons
cons
1096
ref
subst
appThm
nil
1023
ref
1163
remove
nil
cons
cons
nil
cons
nil
cons
cons
1096
ref
subst
appThm
trans
appThm
1165
remove
refl
appThm
trans
1161
remove
refl
nil
51
ref
1166
remove
cons
1169
def
49
ref
1167
ref
cons
nil
cons
cons
nil
cons
cons
1108
ref
subst
appThm
nil
355
ref
1167
remove
cons
1169
remove
49
ref
1168
remove
cons
nil
cons
cons
cons
nil
cons
cons
1127
remove
subst
trans
211
ref
nil
49
ref
4
ref
380
ref
"y"
124
ref
var
1170
def
varTerm
1171
def
appTerm
1172
def
appTerm
1173
def
nil
cons
1174
def
cons
1175
def
51
ref
37
ref
1173
remove
appTerm
37
ref
4
ref
380
remove
"z"
124
ref
var
varTerm
1176
def
appTerm
appTerm
appTerm
379
ref
1171
ref
appTerm
1177
def
1176
ref
appTerm
1178
def
appTerm
1179
def
appTerm
nil
cons
1180
def
cons
nil
cons
1181
def
cons
nil
cons
cons
1182
def
67
ref
subst
1182
remove
137
ref
subst
197
ref
5
ref
nil
1175
remove
51
ref
13
ref
1172
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
1172
ref
nil
cons
1183
def
cons
1184
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
appThm
320
ref
trans
appThm
1179
ref
refl
appThm
nil
80
ref
1179
remove
nil
cons
cons
nil
cons
nil
cons
cons
677
ref
subst
trans
sym
86
ref
eqMp
eqMp
nil
93
ref
1174
ref
cons
95
ref
1180
ref
cons
nil
cons
1185
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1183
ref
cons
1181
remove
cons
nil
cons
cons
1186
def
67
ref
subst
1186
remove
137
ref
subst
197
ref
5
ref
379
ref
refl
1172
ref
assume
appThm
1187
def
1171
ref
refl
appThm
nil
132
ref
1171
ref
nil
cons
cons
nil
cons
1188
def
nil
cons
cons
381
remove
subst
trans
appThm
385
ref
trans
appThm
197
ref
5
ref
1187
remove
1176
remove
refl
appThm
appThm
appThm
1178
ref
refl
appThm
appThm
nil
80
ref
37
ref
4
ref
1178
ref
appTerm
appTerm
1178
ref
appTerm
nil
cons
1189
def
cons
nil
cons
nil
cons
cons
655
ref
subst
trans
sym
nil
49
ref
13
ref
1178
ref
appTerm
1190
def
284
ref
appTerm
1191
def
nil
cons
1192
def
cons
51
ref
1189
ref
cons
nil
cons
1193
def
cons
nil
cons
cons
1194
def
67
ref
subst
1194
remove
137
ref
subst
13
ref
"_626"
1
ref
var
1195
def
37
ref
4
ref
1195
remove
varTerm
1196
def
appTerm
appTerm
1196
remove
appTerm
absTerm
1197
def
1178
ref
appTerm
1198
def
appTerm
refl
1199
def
1197
ref
284
ref
appTerm
betaConv
appThm
97
ref
1198
remove
betaConv
appThm
1200
def
879
ref
284
ref
appTerm
refl
appThm
trans
1197
remove
refl
1201
def
1191
remove
assume
appThm
eqMp
sym
nil
80
ref
319
remove
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
387
ref
284
ref
appTerm
appTerm
83
ref
appTerm
absTerm
1202
def
83
ref
appTerm
1203
def
betaConv
nil
172
ref
1202
ref
appTerm
1204
def
axiom
nil
49
ref
1204
remove
nil
cons
cons
51
ref
1203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1202
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1205
def
subst
320
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
1192
ref
cons
95
ref
1189
ref
cons
nil
cons
1206
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1190
remove
72
ref
appTerm
1207
def
nil
cons
1208
def
cons
1193
remove
cons
nil
cons
cons
1209
def
67
ref
subst
1209
remove
137
ref
subst
1199
remove
"_624"
1
ref
var
1210
def
37
ref
4
ref
1210
remove
varTerm
1211
def
appTerm
appTerm
1211
remove
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1200
remove
893
ref
72
ref
appTerm
refl
appThm
trans
1201
remove
1207
remove
assume
appThm
eqMp
sym
nil
80
ref
384
remove
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
387
ref
72
ref
appTerm
appTerm
72
ref
appTerm
absTerm
1212
def
83
ref
appTerm
1213
def
betaConv
nil
172
ref
1212
ref
appTerm
1214
def
axiom
nil
49
ref
1214
remove
nil
cons
cons
51
ref
1213
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1212
remove
nil
cons
cons
178
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
sym
86
ref
eqMp
eqMp
eqMp
nil
93
ref
1208
remove
cons
1215
def
1206
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
688
remove
1178
ref
appTerm
1216
def
betaConv
691
remove
nil
692
remove
51
ref
1216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
693
remove
176
ref
1178
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
1215
remove
95
ref
1192
remove
cons
696
ref
1189
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
1184
ref
1185
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
80
ref
387
remove
200
remove
appTerm
absTerm
1217
def
1172
ref
appTerm
1218
def
betaConv
nil
172
ref
1217
ref
appTerm
1219
def
axiom
1220
def
nil
49
ref
1219
remove
nil
cons
cons
1221
def
51
ref
1218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1217
ref
nil
cons
cons
1222
def
176
ref
1183
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
1184
remove
95
ref
1174
remove
cons
696
ref
1180
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
1223
def
subst
eqMp
eqMp
nil
49
ref
18
ref
985
remove
appTerm
986
remove
appTerm
nil
cons
cons
51
ref
785
remove
nil
cons
1224
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1153
remove
1154
ref
781
ref
nil
cons
1225
def
cons
120
ref
1155
remove
cons
nil
cons
cons
cons
nil
cons
cons
1223
ref
subst
eqMp
nil
49
ref
1224
ref
cons
1226
def
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1226
remove
nil
cons
nil
cons
cons
630
ref
subst
908
remove
assume
eqMp
eqMp
eqMp
nil
93
ref
972
ref
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
903
ref
nil
cons
1227
def
cons
291
ref
cons
nil
cons
cons
1228
def
67
ref
subst
1228
remove
137
ref
subst
nil
"_2196"
6
ref
var
1229
def
121
ref
cons
"_2195"
6
ref
var
1230
def
157
ref
cons
"_2194"
6
ref
var
1231
def
275
ref
cons
nil
cons
cons
cons
nil
cons
cons
7
ref
21
ref
430
ref
1231
remove
varTerm
1232
def
appTerm
1233
def
430
ref
1230
remove
varTerm
1234
def
appTerm
16
ref
appTerm
appTerm
appTerm
430
ref
1233
ref
1234
ref
appTerm
appTerm
16
ref
appTerm
appTerm
absTerm
1235
def
1229
remove
varTerm
1236
def
appTerm
1237
def
betaConv
32
ref
31
ref
7
ref
21
ref
1233
ref
780
remove
appTerm
appTerm
430
ref
1233
remove
35
ref
appTerm
appTerm
16
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1238
def
1234
ref
appTerm
1239
def
betaConv
801
remove
1232
ref
appTerm
1240
def
betaConv
nil
804
remove
51
ref
1240
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
1000
remove
120
ref
1232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
1238
ref
appTerm
nil
cons
cons
51
ref
1239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1238
remove
nil
cons
cons
120
ref
1234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
1235
ref
appTerm
nil
cons
cons
51
ref
1237
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1235
remove
nil
cons
cons
120
ref
1236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
49
ref
800
ref
nil
cons
cons
51
ref
783
remove
781
remove
appTerm
1241
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
120
ref
1225
ref
cons
nil
cons
1242
def
nil
cons
cons
211
ref
147
ref
subst
subst
eqMp
nil
49
ref
18
ref
800
remove
appTerm
1241
remove
appTerm
nil
cons
cons
51
ref
782
remove
nil
cons
1243
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1152
remove
1225
remove
cons
1154
ref
779
remove
nil
cons
cons
1242
remove
cons
cons
nil
cons
cons
1223
remove
subst
eqMp
nil
49
ref
1243
ref
cons
1244
def
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1244
remove
nil
cons
nil
cons
cons
630
ref
subst
903
remove
assume
eqMp
eqMp
eqMp
nil
93
ref
1227
remove
cons
1245
def
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1245
remove
95
ref
972
remove
cons
696
ref
290
remove
cons
nil
cons
1246
def
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
970
ref
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
940
remove
291
ref
cons
nil
cons
cons
1247
def
67
ref
subst
1247
remove
137
ref
subst
nil
"_2188"
6
ref
var
1248
def
157
ref
cons
"_2187"
6
ref
var
1249
def
275
ref
cons
nil
cons
cons
nil
cons
cons
32
ref
21
ref
430
ref
1249
remove
varTerm
1250
def
appTerm
35
ref
appTerm
appTerm
443
remove
1250
ref
appTerm
appTerm
absTerm
1251
def
1248
remove
varTerm
1252
def
appTerm
1253
def
betaConv
602
remove
1250
ref
appTerm
1254
def
betaConv
nil
606
remove
51
ref
1254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
616
remove
120
ref
1250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
1251
ref
appTerm
nil
cons
cons
51
ref
1253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1251
remove
nil
cons
cons
120
ref
1252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
49
ref
827
ref
cons
1255
def
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1255
remove
nil
cons
nil
cons
cons
630
ref
subst
900
remove
assume
eqMp
eqMp
eqMp
nil
93
ref
939
remove
cons
1256
def
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1256
remove
95
ref
970
remove
cons
1246
ref
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
968
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
966
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
950
ref
1156
ref
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
951
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
950
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
nil
340
remove
51
ref
33
ref
328
ref
appTerm
1257
def
100
ref
appTerm
nil
cons
1258
def
cons
nil
cons
cons
nil
cons
cons
1259
def
67
ref
subst
1259
remove
137
ref
subst
nil
49
ref
328
remove
nil
cons
1260
def
cons
1261
def
342
remove
cons
nil
cons
cons
1262
def
67
ref
subst
1262
remove
137
ref
subst
343
remove
116
ref
subst
51
ref
33
ref
127
ref
132
ref
332
ref
54
ref
appTerm
absTerm
appTerm
appTerm
54
ref
appTerm
absTerm
1263
def
100
ref
appTerm
1264
def
betaConv
nil
1261
remove
51
ref
172
ref
1263
ref
appTerm
1265
def
nil
cons
1266
def
cons
nil
cons
cons
nil
cons
cons
1267
def
116
ref
subst
331
remove
nil
49
ref
329
remove
1265
ref
appTerm
nil
cons
cons
51
ref
1257
remove
1265
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
1267
remove
nil
49
ref
293
ref
nil
cons
1268
def
cons
51
ref
299
ref
cons
nil
cons
cons
nil
cons
cons
1269
def
67
ref
subst
1269
remove
137
ref
subst
298
remove
eqMp
nil
93
ref
1268
remove
cons
95
ref
299
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
49
ref
1266
remove
cons
51
ref
1264
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1263
remove
nil
cons
cons
176
ref
341
remove
cons
nil
cons
1270
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1260
remove
cons
351
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
350
remove
95
ref
1258
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1271
def
subst
eqMp
eqMp
eqMp
nil
93
ref
962
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
952
ref
1156
ref
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
953
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
952
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
958
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
954
ref
1156
ref
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
955
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
954
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
803
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
728
remove
95
ref
867
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
863
remove
cons
95
ref
865
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
93
ref
797
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
796
remove
51
ref
794
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
793
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
792
remove
nil
cons
cons
51
ref
791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
790
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
789
remove
nil
cons
cons
51
ref
788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
787
remove
nil
cons
cons
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
93
ref
827
remove
cons
95
ref
786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
1272
def
nil
93
ref
1243
remove
cons
95
ref
1224
remove
cons
nil
cons
cons
nil
cons
cons
1273
def
109
ref
subst
proveHyp
1274
def
subst
appThm
nil
7
ref
763
remove
cons
nil
cons
nil
cons
cons
1274
remove
subst
746
remove
nil
7
ref
157
ref
cons
1275
def
759
remove
466
ref
cons
cons
nil
cons
cons
1272
remove
1273
remove
305
ref
subst
proveHyp
subst
appThm
trans
appThm
nil
120
ref
467
ref
467
remove
444
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
382
remove
subst
trans
absThm
appThm
422
ref
trans
absThm
appThm
422
remove
trans
1276
def
appThm
1277
def
1277
remove
nil
80
ref
31
ref
262
ref
31
ref
32
ref
21
ref
773
remove
appTerm
772
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
80
ref
13
ref
423
remove
83
ref
appTerm
appTerm
83
ref
appTerm
absTerm
1278
def
83
remove
appTerm
1279
def
betaConv
nil
172
ref
1278
ref
appTerm
1280
def
axiom
nil
49
ref
1280
remove
nil
cons
cons
51
ref
1279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1278
remove
nil
cons
cons
178
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1276
remove
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
appThm
327
ref
trans
sym
86
ref
eqMp
eqMp
nil
93
ref
31
ref
262
ref
31
ref
32
ref
598
ref
468
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
95
ref
18
ref
21
ref
451
remove
appTerm
8
ref
appTerm
1281
def
appTerm
18
ref
31
ref
32
ref
21
ref
431
ref
251
ref
appTerm
appTerm
251
ref
appTerm
absTerm
appTerm
1282
def
appTerm
18
ref
31
ref
32
ref
21
ref
431
remove
249
ref
appTerm
appTerm
249
ref
appTerm
absTerm
appTerm
1283
def
appTerm
18
ref
31
ref
32
ref
21
ref
430
ref
251
ref
appTerm
8
ref
appTerm
appTerm
251
ref
appTerm
absTerm
appTerm
1284
def
appTerm
18
ref
31
ref
32
ref
21
ref
430
ref
249
ref
appTerm
8
ref
appTerm
appTerm
249
ref
appTerm
absTerm
appTerm
1285
def
appTerm
18
ref
31
ref
262
ref
31
ref
32
ref
21
ref
430
ref
250
ref
264
ref
appTerm
appTerm
1286
def
251
ref
appTerm
appTerm
250
remove
468
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1287
def
appTerm
18
ref
31
ref
262
ref
31
ref
32
ref
21
ref
1286
remove
249
remove
appTerm
appTerm
25
remove
468
ref
appTerm
1288
def
appTerm
absTerm
appTerm
absTerm
appTerm
1289
def
appTerm
18
ref
31
ref
262
ref
31
ref
32
ref
21
ref
740
remove
251
remove
appTerm
appTerm
1288
remove
appTerm
absTerm
appTerm
absTerm
appTerm
1290
def
appTerm
31
ref
744
ref
appTerm
1291
def
appTerm
1292
def
appTerm
1293
def
appTerm
1294
def
appTerm
1295
def
appTerm
1296
def
appTerm
1297
def
appTerm
1298
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1281
remove
nil
cons
cons
95
ref
1298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1282
remove
nil
cons
cons
95
ref
1297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1283
remove
nil
cons
cons
95
ref
1296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1284
remove
nil
cons
cons
95
ref
1295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1285
remove
nil
cons
cons
95
ref
1294
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1287
remove
nil
cons
cons
95
ref
1293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1289
remove
nil
cons
cons
95
ref
1292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
93
ref
1290
remove
nil
cons
cons
95
ref
1291
remove
nil
cons
1299
def
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
49
ref
1299
remove
cons
51
ref
745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
744
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
743
remove
nil
cons
cons
51
ref
742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
741
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
515
remove
258
remove
449
remove
appThm
516
remove
trans
appThm
trans
appThm
nil
32
ref
376
ref
cons
1300
def
nil
cons
nil
cons
cons
1301
def
505
ref
35
ref
appTerm
1302
def
betaConv
511
remove
514
remove
109
ref
subst
proveHyp
nil
49
ref
512
remove
cons
51
ref
1302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
505
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
1303
def
nil
262
ref
376
ref
cons
1304
def
32
ref
734
remove
cons
377
remove
cons
cons
nil
cons
cons
730
remove
subst
deductAntisym
1303
remove
eqMp
appThm
320
ref
trans
sym
86
ref
eqMp
eqMp
nil
15
ref
733
remove
appTerm
thm
nil
118
ref
"p1"
6
ref
var
1305
def
31
ref
"p2"
6
ref
var
1306
def
33
ref
18
ref
15
ref
1305
ref
varTerm
1307
def
appTerm
1308
def
appTerm
18
ref
15
ref
1306
ref
varTerm
1309
def
appTerm
1310
def
appTerm
34
ref
1307
ref
appTerm
1309
ref
appTerm
1311
def
appTerm
1312
def
appTerm
1313
def
appTerm
21
ref
1307
ref
appTerm
1314
def
1309
ref
appTerm
1315
def
appTerm
1316
def
absTerm
1317
def
appTerm
1318
def
absTerm
1319
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
1305
ref
nil
80
ref
1318
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1317
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
1306
ref
nil
80
ref
1316
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1313
remove
nil
cons
1320
def
cons
51
ref
1315
ref
nil
cons
1321
def
cons
nil
cons
1322
def
cons
nil
cons
cons
1323
def
67
ref
subst
1323
remove
137
ref
subst
nil
93
ref
1308
remove
nil
cons
1324
def
cons
95
ref
1312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1325
def
109
ref
subst
1325
remove
305
ref
subst
nil
93
ref
1310
ref
nil
cons
1326
def
cons
95
ref
1311
ref
nil
cons
1327
def
cons
nil
cons
cons
nil
cons
cons
1328
def
109
ref
subst
1328
remove
305
ref
subst
45
remove
1309
ref
appTerm
1329
def
betaConv
48
remove
nil
50
remove
51
ref
1329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
119
remove
120
ref
1309
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
13
ref
1310
ref
appTerm
18
ref
4
ref
21
ref
1309
ref
appTerm
26
ref
appTerm
appTerm
1330
def
appTerm
31
ref
32
ref
33
ref
36
remove
1309
ref
appTerm
appTerm
40
remove
38
ref
1309
remove
appTerm
appTerm
appTerm
absTerm
1331
def
appTerm
1332
def
appTerm
1333
def
appTerm
nil
cons
cons
1322
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
97
ref
nil
80
ref
1326
remove
cons
nil
cons
nil
cons
cons
87
ref
subst
1310
remove
assume
eqMp
appThm
1333
ref
refl
appThm
nil
80
ref
1333
remove
nil
cons
1334
def
cons
nil
cons
nil
cons
cons
887
ref
subst
trans
appThm
1315
ref
refl
1335
def
appThm
sym
nil
49
ref
1334
ref
cons
1322
ref
cons
nil
cons
cons
1336
def
67
ref
subst
1336
remove
137
ref
subst
nil
93
ref
1330
remove
nil
cons
cons
95
ref
1332
remove
nil
cons
1337
def
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
1331
ref
1307
ref
appTerm
1338
def
betaConv
nil
49
ref
1337
remove
cons
51
ref
1338
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
1331
remove
nil
cons
cons
120
ref
1307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
33
ref
1311
ref
appTerm
37
ref
1314
remove
26
ref
appTerm
1339
def
appTerm
1315
ref
appTerm
1340
def
appTerm
nil
cons
cons
1322
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
155
ref
nil
80
ref
1327
remove
cons
nil
cons
nil
cons
cons
87
ref
subst
1311
remove
assume
eqMp
appThm
1340
ref
refl
appThm
nil
80
ref
1340
remove
nil
cons
1341
def
cons
nil
cons
nil
cons
cons
179
ref
subst
trans
appThm
1335
remove
appThm
sym
nil
49
ref
1341
ref
cons
1322
ref
cons
nil
cons
cons
1342
def
67
ref
subst
1342
remove
137
ref
subst
nil
49
ref
1321
ref
cons
1322
ref
cons
nil
cons
cons
1343
def
67
ref
subst
1343
remove
137
ref
subst
1315
remove
assume
eqMp
nil
93
ref
1321
ref
cons
1344
def
95
ref
1321
ref
cons
1345
def
nil
cons
1346
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1339
ref
nil
cons
1347
def
cons
1322
remove
cons
nil
cons
cons
1348
def
67
ref
subst
1348
remove
137
ref
subst
nil
49
ref
1324
ref
cons
291
ref
cons
nil
cons
cons
116
ref
subst
nil
80
ref
1324
remove
cons
nil
cons
nil
cons
cons
590
ref
subst
5
ref
15
ref
refl
1349
def
1339
remove
assume
appThm
396
ref
trans
appThm
320
ref
trans
trans
sym
86
ref
eqMp
eqMp
nil
1344
remove
nil
cons
nil
cons
cons
316
remove
subst
proveHyp
eqMp
nil
93
ref
1347
remove
cons
1350
def
1346
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1350
remove
1345
remove
696
ref
1321
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
1341
remove
cons
1346
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
93
ref
1334
remove
cons
1346
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
1320
remove
cons
1346
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1351
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
31
ref
1319
remove
appTerm
thm
nil
118
ref
7
ref
33
ref
18
ref
17
ref
appTerm
1352
def
"Number.Natural.even"
const
14
remove
constTerm
1353
def
16
ref
appTerm
1354
def
appTerm
1355
def
appTerm
22
ref
400
ref
appTerm
1356
def
appTerm
1357
def
absTerm
1358
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
1357
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1355
remove
nil
cons
1359
def
cons
51
ref
1356
remove
nil
cons
1360
def
cons
nil
cons
1361
def
cons
nil
cons
cons
1362
def
67
ref
subst
1362
remove
137
ref
subst
nil
93
ref
17
ref
nil
cons
1363
def
cons
1364
def
95
ref
1354
ref
nil
cons
1365
def
cons
nil
cons
cons
nil
cons
cons
1366
def
109
ref
subst
1366
remove
305
ref
subst
246
ref
nil
80
ref
732
ref
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
731
remove
eqMp
appThm
1367
def
246
ref
nil
80
ref
1363
ref
cons
nil
cons
nil
cons
cons
87
ref
subst
17
ref
assume
1368
def
eqMp
1369
def
appThm
1370
def
nil
156
ref
121
ref
cons
nil
cons
1371
def
nil
cons
cons
156
ref
13
ref
34
ref
400
ref
appTerm
1372
def
159
ref
appTerm
appTerm
1353
remove
159
ref
appTerm
appTerm
absTerm
1373
def
159
ref
appTerm
1374
def
betaConv
nil
31
ref
1373
ref
appTerm
1375
def
axiom
nil
49
ref
1375
remove
nil
cons
cons
51
ref
1374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1373
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
80
ref
1365
remove
cons
nil
cons
nil
cons
cons
87
ref
subst
1354
remove
assume
eqMp
trans
appThm
327
ref
trans
appThm
327
ref
trans
sym
86
ref
eqMp
nil
49
ref
18
ref
732
remove
appTerm
1352
ref
1372
ref
16
ref
appTerm
appTerm
appTerm
nil
cons
cons
51
ref
402
remove
16
ref
appTerm
nil
cons
1376
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1306
ref
121
ref
cons
1305
ref
401
ref
cons
nil
cons
cons
nil
cons
cons
1351
ref
subst
eqMp
nil
49
ref
1376
remove
cons
1361
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
120
ref
401
ref
cons
1377
def
1154
ref
121
ref
cons
nil
cons
cons
nil
cons
cons
211
ref
132
ref
33
ref
1172
remove
appTerm
1177
remove
133
ref
appTerm
appTerm
1378
def
absTerm
1379
def
133
ref
appTerm
1380
def
betaConv
1170
ref
127
ref
1379
ref
appTerm
1381
def
absTerm
1382
def
1171
ref
appTerm
1383
def
betaConv
nil
127
ref
132
ref
127
ref
1170
ref
1378
ref
absTerm
1384
def
appTerm
1385
def
absTerm
1386
def
appTerm
1387
def
axiom
nil
49
ref
1387
remove
nil
cons
1388
def
cons
1389
def
51
ref
127
ref
1382
ref
appTerm
nil
cons
1390
def
cons
nil
cons
cons
nil
cons
cons
1391
def
116
ref
subst
proveHyp
1391
ref
67
ref
subst
1391
remove
137
ref
subst
nil
128
ref
1382
remove
nil
cons
cons
1392
def
nil
cons
nil
cons
cons
337
ref
subst
1170
remove
nil
80
ref
1381
remove
nil
cons
1393
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
128
ref
1379
remove
nil
cons
cons
1394
def
nil
cons
nil
cons
cons
337
ref
subst
132
ref
nil
80
ref
1378
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
1384
ref
1171
remove
appTerm
1395
def
betaConv
1386
ref
133
ref
appTerm
1396
def
betaConv
nil
1389
remove
51
ref
1396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
347
ref
128
ref
1386
remove
nil
cons
cons
349
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1385
remove
nil
cons
cons
51
ref
1395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
1384
remove
nil
cons
cons
1188
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
93
ref
1388
remove
cons
95
ref
1390
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
1390
remove
cons
51
ref
1383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
1392
remove
1188
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1393
remove
cons
51
ref
1380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
1394
remove
349
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1397
def
subst
eqMp
proveHyp
proveHyp
eqMp
nil
93
ref
1359
remove
cons
95
ref
1360
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
31
ref
1358
remove
appTerm
thm
154
ref
7
ref
154
ref
32
ref
155
ref
246
ref
149
ref
appThm
4
ref
34
ref
16
ref
appTerm
1398
def
35
ref
appTerm
1399
def
appTerm
1400
def
refl
1401
def
appThm
appThm
21
ref
"Number.Natural.gcd"
const
429
ref
constTerm
1402
def
16
ref
appTerm
1403
def
35
ref
appTerm
1404
def
appTerm
26
ref
appTerm
1405
def
refl
appThm
absThm
appThm
absThm
appThm
sym
nil
118
ref
7
ref
31
ref
32
ref
33
ref
18
ref
44
ref
appTerm
1400
ref
appTerm
1406
def
appTerm
1405
ref
appTerm
1407
def
absTerm
1408
def
appTerm
1409
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
1409
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1408
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1407
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1406
remove
nil
cons
1410
def
cons
51
ref
1405
ref
nil
cons
1411
def
cons
nil
cons
1412
def
cons
nil
cons
cons
1413
def
67
ref
subst
1413
remove
137
ref
subst
nil
93
ref
44
remove
nil
cons
cons
95
ref
1400
ref
nil
cons
1414
def
cons
nil
cons
1415
def
cons
nil
cons
cons
1416
def
109
ref
subst
1416
remove
305
ref
subst
nil
93
ref
28
remove
nil
cons
1417
def
cons
95
ref
43
remove
nil
cons
1418
def
cons
nil
cons
cons
nil
cons
cons
1419
def
109
ref
subst
1419
remove
305
ref
subst
nil
118
ref
"c"
6
ref
var
1420
def
33
ref
18
ref
34
ref
1420
ref
varTerm
1421
def
appTerm
1422
def
16
ref
appTerm
1423
def
appTerm
1422
ref
35
ref
appTerm
1424
def
appTerm
1425
def
appTerm
21
ref
1421
ref
appTerm
1426
def
26
ref
appTerm
1427
def
appTerm
1428
def
absTerm
1429
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
1420
ref
nil
80
ref
1428
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1425
remove
nil
cons
1430
def
cons
51
ref
1427
ref
nil
cons
1431
def
cons
nil
cons
1432
def
cons
nil
cons
cons
1433
def
67
ref
subst
1433
remove
137
ref
subst
nil
93
ref
1423
ref
nil
cons
1434
def
cons
95
ref
1424
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1435
def
109
ref
subst
1435
remove
305
ref
subst
42
ref
1421
ref
appTerm
1436
def
betaConv
nil
49
ref
1418
remove
cons
51
ref
1436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
42
remove
nil
cons
cons
120
ref
1421
ref
nil
cons
cons
nil
cons
1437
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
33
ref
1423
ref
appTerm
37
ref
1427
ref
appTerm
1426
remove
16
ref
appTerm
1438
def
appTerm
1439
def
appTerm
nil
cons
cons
1432
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
155
ref
nil
80
ref
1434
remove
cons
nil
cons
nil
cons
cons
87
ref
subst
1423
remove
assume
eqMp
appThm
1439
ref
refl
appThm
nil
80
ref
1439
remove
nil
cons
1440
def
cons
nil
cons
nil
cons
cons
179
ref
subst
trans
appThm
1427
ref
refl
appThm
sym
nil
49
ref
1440
ref
cons
1432
ref
cons
nil
cons
cons
1441
def
67
ref
subst
1441
remove
137
ref
subst
nil
49
ref
1438
ref
nil
cons
1442
def
cons
1432
ref
cons
nil
cons
cons
1443
def
67
ref
subst
1443
remove
137
ref
subst
13
ref
"_29123"
6
ref
var
1444
def
21
ref
1444
remove
varTerm
appTerm
26
ref
appTerm
absTerm
1445
def
1421
ref
appTerm
1446
def
appTerm
refl
1445
ref
16
ref
appTerm
betaConv
appThm
97
ref
1446
remove
betaConv
appThm
27
ref
refl
appThm
trans
1445
remove
refl
1438
remove
assume
1447
def
appThm
eqMp
sym
nil
49
ref
1417
remove
cons
51
ref
13
ref
27
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
27
remove
nil
cons
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
sym
nil
49
ref
1414
ref
cons
1448
def
291
ref
cons
nil
cons
cons
116
ref
subst
nil
80
ref
1414
ref
cons
nil
cons
nil
cons
cons
1449
def
590
ref
subst
nil
80
ref
1399
ref
nil
cons
1450
def
cons
nil
cons
nil
cons
cons
1451
def
204
ref
subst
1452
def
1451
ref
87
ref
subst
1453
def
13
ref
"_29131"
6
ref
var
1454
def
34
ref
1454
remove
varTerm
appTerm
35
ref
appTerm
absTerm
1455
def
1421
ref
appTerm
1456
def
appTerm
refl
1455
ref
16
ref
appTerm
betaConv
appThm
97
ref
1456
remove
betaConv
appThm
1399
ref
refl
1457
def
appThm
trans
1455
remove
refl
1447
remove
appThm
eqMp
1424
remove
assume
eqMp
eqMp
trans
trans
sym
86
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1442
ref
cons
95
ref
1431
ref
cons
nil
cons
1458
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1431
ref
cons
1432
remove
cons
nil
cons
cons
1459
def
67
ref
subst
1459
remove
137
ref
subst
1427
ref
assume
eqMp
nil
93
ref
1431
ref
cons
1460
def
1458
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1460
remove
95
ref
1442
remove
cons
696
ref
1431
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
1440
remove
cons
1458
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
93
ref
1430
remove
cons
1458
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
1429
remove
appTerm
nil
cons
cons
1412
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"b"
6
ref
var
1461
def
157
ref
cons
1462
def
1371
ref
cons
nil
cons
cons
1463
def
1461
ref
33
ref
31
ref
1420
ref
33
ref
18
ref
1422
ref
159
ref
appTerm
appTerm
1422
remove
1461
ref
varTerm
1464
def
appTerm
appTerm
appTerm
1427
remove
appTerm
absTerm
appTerm
appTerm
21
ref
1402
remove
159
ref
appTerm
1465
def
1464
ref
appTerm
1466
def
appTerm
1467
def
26
ref
appTerm
1468
def
appTerm
absTerm
1469
def
1464
ref
appTerm
1470
def
betaConv
156
ref
31
ref
1469
ref
appTerm
1471
def
absTerm
1472
def
159
ref
appTerm
1473
def
betaConv
nil
31
ref
1472
ref
appTerm
1474
def
axiom
nil
49
ref
1474
remove
nil
cons
cons
51
ref
1473
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1472
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1471
remove
nil
cons
cons
51
ref
1470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1469
remove
nil
cons
cons
120
ref
1464
ref
nil
cons
cons
nil
cons
1475
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
1410
remove
cons
95
ref
1411
ref
cons
nil
cons
1476
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1477
def
nil
31
ref
7
ref
31
ref
32
ref
33
ref
1352
ref
1400
ref
appTerm
1478
def
appTerm
1405
ref
appTerm
absTerm
1479
def
appTerm
1480
def
absTerm
1481
def
appTerm
1482
def
thm
nil
118
ref
7
ref
31
ref
32
ref
33
ref
17
ref
appTerm
1483
def
13
ref
1405
ref
appTerm
1484
def
1400
ref
appTerm
1485
def
appTerm
1486
def
absTerm
1487
def
appTerm
1488
def
absTerm
1489
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
1488
remove
nil
cons
1490
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1487
ref
nil
cons
cons
1491
def
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1486
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1363
remove
cons
1492
def
51
ref
1485
ref
nil
cons
1493
def
cons
nil
cons
1494
def
cons
nil
cons
cons
1495
def
67
ref
subst
1495
remove
137
ref
subst
nil
49
ref
4
ref
1405
ref
appTerm
1496
def
nil
cons
1497
def
cons
1498
def
1494
ref
cons
nil
cons
cons
1499
def
67
ref
subst
1499
remove
137
ref
subst
97
ref
nil
1498
ref
51
ref
1484
remove
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
1411
ref
cons
1500
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
appThm
1401
ref
appThm
1449
remove
685
ref
subst
1452
ref
trans
trans
sym
nil
1498
remove
51
ref
1450
ref
cons
nil
cons
1501
def
cons
nil
cons
cons
116
ref
subst
nil
182
ref
1450
ref
cons
180
ref
1497
ref
cons
nil
cons
cons
nil
cons
cons
180
ref
13
ref
33
ref
185
ref
appTerm
183
ref
appTerm
1502
def
appTerm
33
ref
186
remove
appTerm
187
ref
appTerm
1503
def
appTerm
1504
def
absTerm
1505
def
185
ref
appTerm
1506
def
betaConv
182
ref
172
ref
1505
ref
appTerm
1507
def
absTerm
1508
def
183
ref
appTerm
1509
def
betaConv
1124
ref
182
ref
1124
ref
180
ref
1504
remove
assume
sym
13
ref
1503
remove
appTerm
1502
remove
appTerm
1510
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
172
ref
182
ref
172
ref
180
ref
1510
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
49
ref
172
ref
1508
ref
appTerm
nil
cons
cons
51
ref
1509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1508
remove
nil
cons
cons
194
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1507
remove
nil
cons
cons
51
ref
1506
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1505
remove
nil
cons
cons
195
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1511
def
subst
sym
nil
1448
ref
51
ref
4
ref
1496
remove
appTerm
nil
cons
1512
def
cons
nil
cons
cons
nil
cons
cons
1513
def
67
ref
subst
1513
remove
137
ref
subst
nil
80
ref
1411
ref
cons
nil
cons
nil
cons
cons
204
ref
subst
sym
1370
ref
5
ref
nil
1448
remove
51
ref
13
ref
1399
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
1450
ref
cons
1514
def
nil
cons
nil
cons
cons
1515
def
317
ref
subst
eqMp
appThm
320
ref
trans
appThm
327
ref
trans
sym
86
ref
eqMp
nil
49
ref
1478
remove
nil
cons
cons
1412
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
1479
ref
35
ref
appTerm
1516
def
betaConv
1481
ref
16
ref
appTerm
1517
def
betaConv
1477
remove
nil
49
ref
1482
remove
nil
cons
cons
51
ref
1517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1481
remove
nil
cons
cons
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1480
remove
nil
cons
cons
51
ref
1516
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1479
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1414
ref
cons
95
ref
1512
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1497
ref
cons
95
ref
1493
ref
cons
nil
cons
1518
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
1411
ref
cons
1494
remove
cons
nil
cons
cons
1519
def
67
ref
subst
1519
remove
137
ref
subst
97
ref
442
ref
1405
ref
assume
1520
def
appThm
1521
def
1301
remove
747
ref
subst
1522
def
appThm
383
ref
trans
appThm
5
ref
1463
remove
1461
ref
13
ref
160
ref
1464
ref
appTerm
1523
def
appTerm
1524
def
1467
remove
159
ref
appTerm
1525
def
appTerm
1526
def
absTerm
1527
def
1464
ref
appTerm
1528
def
betaConv
156
ref
31
ref
1527
ref
appTerm
1529
def
absTerm
1530
def
159
ref
appTerm
1531
def
betaConv
154
ref
156
ref
154
ref
1461
ref
1526
remove
assume
sym
13
ref
1525
remove
appTerm
1523
ref
appTerm
1532
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
31
ref
156
ref
31
ref
1461
ref
1532
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
49
ref
31
ref
1530
ref
appTerm
nil
cons
cons
51
ref
1531
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1530
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1529
remove
nil
cons
cons
51
ref
1528
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1527
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1521
remove
16
ref
refl
appThm
trans
appThm
appThm
nil
80
ref
4
ref
21
ref
26
ref
appTerm
1533
def
16
ref
appTerm
1534
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
887
ref
subst
trans
sym
nil
93
ref
1534
ref
nil
cons
1535
def
cons
1536
def
nil
cons
nil
cons
cons
308
remove
sym
1537
def
subst
nil
49
ref
1535
remove
cons
291
ref
cons
nil
cons
cons
1538
def
67
ref
subst
1538
remove
137
ref
subst
397
remove
nil
49
ref
399
remove
nil
cons
1539
def
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
80
ref
1539
remove
cons
nil
cons
nil
cons
cons
590
ref
subst
nil
80
ref
398
ref
nil
cons
cons
nil
cons
nil
cons
cons
1540
def
204
ref
subst
1540
remove
87
ref
subst
13
ref
"_29135"
6
ref
var
1541
def
15
ref
1541
remove
varTerm
appTerm
absTerm
1542
def
16
ref
appTerm
1543
def
appTerm
refl
1544
def
1542
ref
26
ref
appTerm
betaConv
appThm
97
ref
1543
remove
betaConv
appThm
1545
def
398
remove
refl
appThm
trans
1542
remove
refl
1546
def
1534
remove
assume
sym
appThm
eqMp
1368
ref
eqMp
eqMp
trans
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1536
remove
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1500
ref
1518
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
ref
1405
ref
appTerm
1547
def
betaConv
1220
ref
nil
1221
ref
51
ref
1547
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
1222
ref
176
ref
1411
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
1500
remove
95
ref
1497
remove
cons
696
ref
1493
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1364
ref
1518
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
1548
def
eqMp
absThm
eqMp
nil
31
ref
1489
remove
appTerm
thm
nil
118
ref
7
ref
31
ref
262
ref
31
ref
32
ref
33
ref
1352
ref
18
ref
4
ref
1398
ref
264
ref
appTerm
1549
def
appTerm
appTerm
1400
ref
appTerm
1550
def
appTerm
1551
def
appTerm
4
ref
1398
ref
"Number.Natural.*"
const
429
ref
constTerm
1552
def
264
ref
appTerm
1553
def
35
ref
appTerm
1554
def
appTerm
1555
def
appTerm
1556
def
appTerm
1557
def
absTerm
1558
def
appTerm
1559
def
absTerm
1560
def
appTerm
1561
def
absTerm
1562
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
1561
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1560
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
1559
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1558
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1557
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1551
remove
nil
cons
1563
def
cons
51
ref
1556
ref
nil
cons
1564
def
cons
nil
cons
1565
def
cons
nil
cons
cons
1566
def
67
ref
subst
1566
remove
137
ref
subst
nil
1364
ref
95
ref
1550
ref
nil
cons
1567
def
cons
nil
cons
cons
nil
cons
cons
1568
def
109
ref
subst
1568
remove
305
ref
subst
nil
49
ref
1567
remove
cons
1565
remove
cons
nil
cons
cons
116
ref
subst
154
ref
32
ref
1483
ref
refl
13
ref
1400
ref
appTerm
1405
ref
appTerm
1569
def
assume
sym
1485
remove
assume
sym
deductAntisym
appThm
absThm
appThm
1548
ref
eqMp
nil
49
ref
31
ref
32
ref
1483
ref
1569
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
1550
remove
appTerm
1556
ref
appTerm
1570
def
nil
cons
1571
def
cons
nil
cons
1572
def
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
154
ref
32
ref
155
ref
1369
ref
appThm
1569
ref
refl
appThm
nil
80
ref
1569
ref
nil
cons
cons
nil
cons
nil
cons
cons
179
ref
subst
trans
absThm
appThm
appThm
1570
remove
refl
appThm
sym
nil
49
ref
31
ref
32
ref
1569
remove
absTerm
1573
def
appTerm
nil
cons
1574
def
cons
1575
def
1572
remove
cons
nil
cons
cons
1576
def
67
ref
subst
1576
remove
137
ref
subst
155
ref
246
ref
761
remove
1573
ref
35
ref
appTerm
1577
def
betaConv
nil
1575
remove
51
ref
1577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
1573
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1578
def
subst
appThm
1578
ref
appThm
appThm
nil
32
ref
1554
ref
nil
cons
cons
nil
cons
nil
cons
cons
1578
remove
subst
appThm
sym
nil
49
ref
18
ref
21
ref
1403
ref
264
ref
appTerm
1579
def
appTerm
26
ref
appTerm
1580
def
appTerm
1405
remove
appTerm
nil
cons
1581
def
cons
51
ref
21
ref
1403
ref
1554
remove
appTerm
1582
def
appTerm
26
ref
appTerm
nil
cons
1583
def
cons
nil
cons
cons
nil
cons
cons
1584
def
67
ref
subst
1584
remove
137
ref
subst
nil
93
ref
1580
ref
nil
cons
cons
1476
remove
cons
nil
cons
cons
1585
def
109
ref
subst
1585
remove
305
ref
subst
nil
156
ref
1582
ref
nil
cons
cons
nil
cons
1586
def
nil
cons
cons
156
ref
13
ref
405
ref
appTerm
160
ref
26
ref
appTerm
1587
def
appTerm
1588
def
absTerm
1589
def
159
ref
appTerm
1590
def
betaConv
154
ref
156
ref
1588
remove
assume
sym
13
ref
1587
remove
appTerm
405
remove
appTerm
1591
def
assume
sym
deductAntisym
absThm
appThm
nil
31
ref
156
ref
1591
remove
absTerm
appTerm
axiom
eqMp
nil
49
ref
31
ref
1589
ref
appTerm
nil
cons
cons
51
ref
1590
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1589
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
sym
1461
ref
18
ref
34
ref
1582
remove
appTerm
1592
def
1464
ref
appTerm
appTerm
34
ref
1464
ref
appTerm
1593
def
26
ref
appTerm
appTerm
absTerm
1594
def
1552
ref
1579
remove
appTerm
1404
remove
appTerm
1595
def
appTerm
betaConv
sym
nil
1420
ref
157
ref
cons
1596
def
1461
ref
275
ref
cons
1371
ref
cons
1597
def
cons
nil
cons
cons
1598
def
1420
ref
34
ref
1465
ref
1552
ref
1464
ref
appTerm
1421
ref
appTerm
1599
def
appTerm
appTerm
1552
ref
1466
remove
appTerm
1465
remove
1421
ref
appTerm
appTerm
appTerm
absTerm
1600
def
1421
ref
appTerm
1601
def
betaConv
1461
ref
31
ref
1600
ref
appTerm
1602
def
absTerm
1603
def
1464
ref
appTerm
1604
def
betaConv
156
ref
31
ref
1603
ref
appTerm
1605
def
absTerm
1606
def
159
ref
appTerm
1607
def
betaConv
nil
31
ref
1606
ref
appTerm
1608
def
axiom
nil
49
ref
1608
remove
nil
cons
cons
51
ref
1607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1606
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1605
remove
nil
cons
cons
51
ref
1604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1603
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1602
remove
nil
cons
cons
51
ref
1601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1600
remove
nil
cons
cons
1437
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
49
ref
1592
ref
1595
ref
appTerm
nil
cons
cons
51
ref
34
ref
1595
ref
appTerm
26
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
34
ref
refl
1609
def
1552
ref
refl
1580
remove
assume
appThm
1520
remove
appThm
nil
1304
remove
nil
cons
nil
cons
cons
262
ref
21
ref
1553
remove
26
ref
appTerm
appTerm
264
ref
appTerm
absTerm
1610
def
264
ref
appTerm
1611
def
betaConv
nil
31
ref
1610
ref
appTerm
1612
def
axiom
nil
49
ref
1612
remove
nil
cons
cons
51
ref
1611
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1610
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
appThm
1522
ref
appThm
nil
156
ref
376
ref
cons
nil
cons
nil
cons
cons
nil
80
ref
160
ref
159
ref
appTerm
1613
def
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
156
ref
1613
remove
absTerm
1614
def
159
ref
appTerm
1615
def
betaConv
nil
31
ref
1614
ref
appTerm
1616
def
axiom
nil
49
ref
1616
remove
nil
cons
cons
51
ref
1615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1614
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
1617
def
subst
trans
sym
86
ref
eqMp
eqMp
eqMp
117
ref
118
ref
1594
ref
nil
cons
cons
120
ref
1595
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
352
ref
subst
proveHyp
nil
49
ref
207
ref
1594
remove
appTerm
nil
cons
cons
51
ref
1592
remove
26
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1420
ref
376
remove
cons
1586
remove
cons
nil
cons
cons
1420
ref
33
ref
207
ref
1461
ref
18
ref
1523
ref
appTerm
1593
ref
1421
ref
appTerm
appTerm
1618
def
absTerm
1619
def
appTerm
1620
def
appTerm
1621
def
160
ref
1421
ref
appTerm
1622
def
appTerm
1623
def
absTerm
1624
def
1421
ref
appTerm
1625
def
betaConv
156
ref
31
ref
1624
ref
appTerm
1626
def
absTerm
1627
def
159
ref
appTerm
1628
def
betaConv
nil
31
ref
156
ref
31
ref
1461
ref
31
ref
1420
ref
33
ref
1618
ref
appTerm
1622
ref
appTerm
absTerm
1629
def
appTerm
1630
def
absTerm
1631
def
appTerm
1632
def
absTerm
1633
def
appTerm
1634
def
axiom
nil
49
ref
1634
ref
nil
cons
1635
def
cons
1636
def
51
ref
31
ref
1627
ref
appTerm
nil
cons
1637
def
cons
nil
cons
cons
nil
cons
cons
1638
def
116
ref
subst
proveHyp
1638
ref
67
ref
subst
1638
remove
137
ref
subst
nil
118
ref
1627
remove
nil
cons
cons
1639
def
nil
cons
nil
cons
cons
458
ref
subst
156
ref
nil
80
ref
1626
remove
nil
cons
1640
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1624
remove
nil
cons
cons
1641
def
nil
cons
nil
cons
cons
458
ref
subst
1420
ref
nil
80
ref
1623
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1620
remove
nil
cons
1642
def
cons
1643
def
51
ref
1622
ref
nil
cons
1644
def
cons
nil
cons
1645
def
cons
nil
cons
cons
1646
def
67
ref
subst
1646
remove
137
ref
subst
nil
1636
ref
1645
ref
cons
nil
cons
cons
1647
def
116
ref
subst
nil
1643
remove
51
ref
33
ref
1634
remove
appTerm
1622
ref
appTerm
1648
def
nil
cons
1649
def
cons
nil
cons
1650
def
cons
nil
cons
cons
116
ref
subst
nil
118
ref
1461
ref
33
ref
1619
ref
1464
ref
appTerm
1651
def
appTerm
1648
ref
appTerm
1652
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
1461
ref
nil
80
ref
1652
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1651
ref
nil
cons
1653
def
cons
1650
ref
cons
nil
cons
cons
1654
def
67
ref
subst
1654
remove
137
ref
subst
1651
ref
betaConv
1651
remove
assume
eqMp
nil
49
ref
1618
remove
nil
cons
1655
def
cons
1656
def
1650
remove
cons
nil
cons
cons
1657
def
116
ref
subst
proveHyp
1657
ref
67
ref
subst
1657
remove
137
ref
subst
1647
ref
67
ref
subst
1647
remove
137
ref
subst
nil
1656
remove
1645
remove
cons
nil
cons
cons
116
ref
subst
1629
ref
1421
ref
appTerm
1658
def
betaConv
1631
ref
1464
ref
appTerm
1659
def
betaConv
1633
ref
159
ref
appTerm
1660
def
betaConv
nil
1636
remove
51
ref
1660
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
1633
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1632
remove
nil
cons
cons
51
ref
1659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1631
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1630
remove
nil
cons
cons
51
ref
1658
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1629
remove
nil
cons
cons
1437
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1635
remove
cons
1661
def
95
ref
1644
remove
cons
nil
cons
1662
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
1655
remove
cons
95
ref
1649
remove
cons
nil
cons
1663
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
1653
remove
cons
1663
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
1619
ref
1156
ref
appTerm
appTerm
1648
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
1621
remove
1648
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1619
remove
nil
cons
cons
1663
remove
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
1642
remove
cons
1662
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1661
remove
95
ref
1637
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
1637
remove
cons
51
ref
1628
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
1639
remove
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1640
remove
cons
51
ref
1625
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
1641
remove
1437
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1664
def
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
93
ref
1581
remove
cons
95
ref
1583
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
1574
remove
cons
95
ref
1571
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1665
def
eqMp
proveHyp
proveHyp
eqMp
nil
93
ref
1563
remove
cons
95
ref
1564
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
31
ref
1562
remove
appTerm
thm
nil
118
ref
7
ref
31
ref
262
ref
31
ref
32
ref
1483
ref
13
ref
1555
ref
appTerm
37
ref
1549
ref
appTerm
1399
ref
appTerm
1666
def
appTerm
1667
def
appTerm
1668
def
absTerm
1669
def
appTerm
1670
def
absTerm
1671
def
appTerm
1672
def
absTerm
1673
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
1672
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1671
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
1670
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
1669
remove
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1668
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
1492
ref
51
ref
1667
remove
nil
cons
1674
def
cons
nil
cons
cons
nil
cons
cons
1675
def
67
ref
subst
1675
remove
137
ref
subst
nil
49
ref
1555
ref
nil
cons
1676
def
cons
51
ref
1666
ref
nil
cons
1677
def
cons
nil
cons
cons
nil
cons
cons
306
ref
subst
nil
182
ref
1677
ref
cons
180
ref
1676
ref
cons
nil
cons
cons
nil
cons
cons
1511
ref
subst
sym
155
ref
nil
180
ref
1450
ref
cons
182
ref
1549
ref
nil
cons
1678
def
cons
nil
cons
cons
nil
cons
cons
238
ref
subst
appThm
1556
remove
refl
appThm
sym
1665
remove
eqMp
eqMp
nil
49
ref
33
ref
1555
ref
appTerm
1666
ref
appTerm
nil
cons
cons
51
ref
33
ref
1666
remove
appTerm
1555
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
49
ref
1677
ref
cons
51
ref
1676
ref
cons
nil
cons
cons
nil
cons
cons
1679
def
67
ref
subst
1679
remove
137
ref
subst
1598
ref
1420
ref
33
ref
1622
remove
appTerm
160
remove
1599
remove
appTerm
1680
def
appTerm
absTerm
1681
def
1421
ref
appTerm
1682
def
betaConv
1461
ref
31
ref
1681
ref
appTerm
1683
def
absTerm
1684
def
1464
ref
appTerm
1685
def
betaConv
156
ref
31
ref
1684
ref
appTerm
1686
def
absTerm
1687
def
159
ref
appTerm
1688
def
betaConv
nil
31
ref
1687
ref
appTerm
1689
def
axiom
nil
49
ref
1689
remove
nil
cons
cons
51
ref
1688
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1687
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1686
remove
nil
cons
cons
51
ref
1685
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1684
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1683
remove
nil
cons
cons
51
ref
1682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1681
remove
nil
cons
cons
1437
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
1598
remove
1420
ref
33
ref
1523
ref
appTerm
1680
remove
appTerm
absTerm
1690
def
1421
ref
appTerm
1691
def
betaConv
1461
ref
31
ref
1690
ref
appTerm
1692
def
absTerm
1693
def
1464
ref
appTerm
1694
def
betaConv
156
ref
31
ref
1693
ref
appTerm
1695
def
absTerm
1696
def
159
ref
appTerm
1697
def
betaConv
nil
31
ref
1696
ref
appTerm
1698
def
axiom
nil
49
ref
1698
remove
nil
cons
cons
51
ref
1697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1696
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1695
remove
nil
cons
cons
51
ref
1694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1693
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1692
remove
nil
cons
cons
51
ref
1691
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
1690
remove
nil
cons
cons
1437
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
nil
93
ref
1678
ref
cons
95
ref
1450
ref
cons
696
ref
1676
ref
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
1677
remove
cons
95
ref
1676
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
1364
ref
95
ref
1674
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
31
ref
1673
remove
appTerm
thm
nil
118
ref
32
ref
33
ref
239
ref
appTerm
207
ref
7
ref
1352
ref
1399
ref
appTerm
absTerm
1699
def
appTerm
1700
def
appTerm
1701
def
absTerm
1702
def
nil
cons
cons
1703
def
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1701
ref
nil
cons
1704
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
32
ref
33
ref
31
ref
262
ref
33
ref
561
ref
appTerm
1705
def
31
ref
32
ref
33
ref
268
ref
appTerm
1706
def
1701
ref
appTerm
absTerm
1707
def
appTerm
1708
def
appTerm
absTerm
appTerm
appTerm
1701
ref
appTerm
1709
def
absTerm
1710
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
1709
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
155
ref
97
ref
154
ref
262
ref
155
ref
262
ref
561
ref
absTerm
1711
def
264
ref
appTerm
betaConv
appThm
1712
def
154
ref
32
ref
262
ref
1707
ref
absTerm
1713
def
264
ref
appTerm
betaConv
1714
def
747
ref
appThm
1707
ref
35
ref
appTerm
betaConv
trans
absThm
appThm
appThm
absThm
appThm
appThm
154
ref
"n'"
6
ref
var
1715
def
154
ref
262
ref
1712
ref
1714
remove
1715
ref
varTerm
1716
def
refl
appThm
1707
remove
1716
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
118
ref
1711
ref
nil
cons
cons
1717
def
"Q"
20
remove
var
1718
def
1713
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"B"
23
remove
cons
117
ref
cons
210
ref
cons
nil
49
ref
13
ref
127
ref
132
ref
332
ref
29
ref
0
ref
0
ref
705
ref
2
ref
cons
opType
1719
def
2
ref
cons
opType
1720
def
constTerm
1721
def
"y"
705
ref
var
1722
def
"Q"
0
ref
124
ref
1719
ref
nil
cons
cons
opType
var
varTerm
1723
def
133
ref
appTerm
1724
def
1722
ref
varTerm
1725
def
appTerm
1726
def
absTerm
1727
def
appTerm
1728
def
appTerm
absTerm
1729
def
appTerm
1730
def
appTerm
1721
ref
1722
ref
127
ref
132
ref
332
remove
1726
ref
appTerm
absTerm
1731
def
appTerm
absTerm
1732
def
appTerm
1733
def
appTerm
1734
def
nil
cons
cons
nil
cons
nil
cons
cons
594
ref
subst
sym
nil
49
ref
4
ref
1734
remove
appTerm
1735
def
nil
cons
1736
def
cons
291
ref
cons
nil
cons
cons
1737
def
67
ref
subst
1737
remove
137
ref
subst
nil
49
ref
1730
remove
nil
cons
cons
51
ref
1733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
635
ref
51
ref
13
ref
4
ref
293
remove
appTerm
appTerm
37
ref
57
ref
638
ref
appTerm
1738
def
appTerm
637
remove
54
ref
appTerm
appTerm
appTerm
nil
cons
1739
def
cons
nil
cons
1740
def
cons
nil
cons
cons
1741
def
67
ref
subst
1741
remove
137
ref
subst
13
ref
"_550"
1
ref
var
1742
def
13
ref
4
ref
13
ref
1742
remove
varTerm
1743
def
appTerm
54
ref
appTerm
appTerm
appTerm
37
ref
18
ref
1743
ref
appTerm
638
ref
appTerm
appTerm
18
ref
4
ref
1743
remove
appTerm
appTerm
54
ref
appTerm
appTerm
appTerm
absTerm
1744
def
52
ref
appTerm
1745
def
appTerm
refl
1746
def
1744
ref
284
ref
appTerm
betaConv
appThm
97
ref
1745
remove
betaConv
appThm
1747
def
13
ref
4
ref
314
remove
54
ref
appTerm
appTerm
appTerm
37
ref
391
ref
638
ref
appTerm
1748
def
appTerm
649
remove
54
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1744
remove
refl
1749
def
651
ref
appThm
eqMp
sym
97
ref
5
ref
90
ref
685
remove
subst
appThm
90
ref
204
ref
subst
trans
appThm
197
ref
680
ref
appThm
657
remove
62
ref
appThm
894
remove
trans
appThm
656
ref
trans
appThm
nil
176
ref
89
remove
cons
nil
cons
1750
def
nil
cons
cons
593
remove
subst
1751
def
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
663
ref
95
ref
1739
ref
cons
nil
cons
1752
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
667
ref
1740
remove
cons
nil
cons
cons
1753
def
67
ref
subst
1753
remove
137
ref
subst
1746
remove
"_548"
1
ref
var
1754
def
13
ref
4
ref
13
ref
1754
remove
varTerm
1755
def
appTerm
54
ref
appTerm
appTerm
appTerm
37
ref
18
ref
1755
ref
appTerm
638
ref
appTerm
appTerm
18
ref
4
ref
1755
remove
appTerm
appTerm
54
ref
appTerm
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1747
remove
13
ref
4
ref
883
remove
54
ref
appTerm
appTerm
appTerm
37
ref
322
ref
638
ref
appTerm
1756
def
appTerm
672
remove
54
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1749
remove
673
ref
appThm
eqMp
sym
97
ref
5
ref
90
ref
887
remove
subst
appThm
appThm
197
ref
661
ref
appThm
679
remove
62
ref
appThm
881
remove
trans
appThm
660
remove
1205
ref
subst
trans
appThm
662
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
687
ref
1752
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
694
ref
nil
687
ref
695
ref
696
ref
1739
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1757
def
subst
197
ref
246
ref
897
ref
132
ref
nil
344
ref
51
ref
1728
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1758
def
nil
635
ref
51
ref
56
remove
869
remove
54
ref
appTerm
appTerm
nil
cons
1759
def
cons
nil
cons
1760
def
cons
nil
cons
cons
1761
def
67
ref
subst
1761
remove
137
ref
subst
13
ref
"_538"
1
ref
var
1762
def
13
ref
33
ref
1762
remove
varTerm
1763
def
appTerm
54
ref
appTerm
appTerm
37
ref
4
ref
1763
remove
appTerm
appTerm
54
ref
appTerm
appTerm
absTerm
1764
def
52
ref
appTerm
1765
def
appTerm
refl
1766
def
1764
ref
284
ref
appTerm
betaConv
appThm
97
ref
1765
remove
betaConv
appThm
1767
def
13
ref
310
remove
54
ref
appTerm
1768
def
appTerm
879
ref
54
ref
appTerm
appTerm
refl
appThm
trans
1764
remove
refl
1769
def
651
ref
appThm
eqMp
sym
97
ref
90
ref
1143
ref
subst
1770
def
appThm
882
ref
62
ref
appThm
678
remove
trans
appThm
888
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
663
ref
95
ref
1759
ref
cons
nil
cons
1771
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
667
ref
1760
remove
cons
nil
cons
cons
1772
def
67
ref
subst
1772
remove
137
ref
subst
1766
remove
"_536"
1
ref
var
1773
def
13
ref
33
ref
1773
remove
varTerm
1774
def
appTerm
54
ref
appTerm
appTerm
37
ref
4
ref
1774
remove
appTerm
appTerm
54
ref
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1767
remove
13
ref
169
remove
54
ref
appTerm
1775
def
appTerm
893
ref
54
ref
appTerm
appTerm
refl
appThm
trans
1769
remove
673
ref
appThm
eqMp
sym
97
ref
90
remove
179
ref
subst
1776
def
appThm
895
ref
62
remove
appThm
656
remove
trans
appThm
1751
remove
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
687
ref
1771
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
694
ref
nil
687
ref
695
ref
696
ref
1759
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1777
def
subst
absThm
appThm
appThm
nil
"P"
1719
ref
var
1778
def
1732
ref
nil
cons
cons
nil
cons
nil
cons
cons
"A"
706
remove
cons
nil
cons
1779
def
210
ref
cons
1780
def
898
ref
subst
1781
def
subst
206
remove
1720
remove
constTerm
1782
def
refl
1783
def
1722
ref
5
ref
1732
remove
1725
ref
appTerm
betaConv
appThm
nil
128
ref
1731
ref
nil
cons
cons
nil
cons
nil
cons
cons
898
ref
subst
703
ref
132
ref
5
ref
1731
remove
133
ref
appTerm
betaConv
appThm
nil
344
ref
51
ref
1726
ref
nil
cons
1784
def
cons
nil
cons
cons
nil
cons
cons
1785
def
nil
635
remove
51
ref
13
ref
4
ref
55
ref
appTerm
appTerm
1738
remove
appTerm
nil
cons
1786
def
cons
nil
cons
1787
def
cons
nil
cons
cons
1788
def
67
ref
subst
1788
remove
137
ref
subst
13
ref
"_542"
1
ref
var
1789
def
13
ref
4
ref
33
ref
1789
remove
varTerm
1790
def
appTerm
54
ref
appTerm
appTerm
appTerm
18
ref
1790
remove
appTerm
638
ref
appTerm
appTerm
absTerm
1791
def
52
ref
appTerm
1792
def
appTerm
refl
1793
def
1791
ref
284
ref
appTerm
betaConv
appThm
97
ref
1792
remove
betaConv
appThm
1794
def
13
ref
4
ref
1768
remove
appTerm
appTerm
1748
remove
appTerm
refl
appThm
trans
1791
remove
refl
1795
def
651
remove
appThm
eqMp
sym
97
ref
5
ref
1770
remove
appThm
385
ref
trans
appThm
680
remove
appThm
686
ref
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
663
remove
95
ref
1786
ref
cons
nil
cons
1796
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
667
remove
1787
remove
cons
nil
cons
cons
1797
def
67
ref
subst
1797
remove
137
ref
subst
1793
remove
"_540"
1
ref
var
1798
def
13
ref
4
ref
33
ref
1798
remove
varTerm
1799
def
appTerm
54
ref
appTerm
appTerm
appTerm
18
ref
1799
remove
appTerm
638
remove
appTerm
appTerm
absTerm
72
ref
appTerm
betaConv
appThm
1794
remove
13
ref
4
ref
1775
remove
appTerm
appTerm
1756
remove
appTerm
refl
appThm
trans
1795
remove
673
remove
appThm
eqMp
sym
97
ref
5
ref
1776
remove
appThm
appThm
661
remove
appThm
662
remove
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
687
ref
1796
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
694
remove
nil
687
remove
695
remove
696
ref
1786
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
1800
def
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
246
ref
nil
128
ref
1729
ref
nil
cons
cons
nil
cons
nil
cons
cons
898
ref
subst
703
ref
132
ref
5
ref
1729
remove
133
ref
appTerm
betaConv
appThm
1758
remove
1800
ref
subst
246
ref
134
ref
refl
appThm
1801
def
nil
1778
ref
1727
ref
nil
cons
1802
def
cons
nil
cons
nil
cons
cons
1781
remove
subst
1783
ref
1722
ref
5
ref
1727
remove
1725
ref
appTerm
betaConv
1803
def
appThm
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
appThm
1721
ref
refl
1804
def
1722
ref
897
ref
132
ref
1785
remove
1777
ref
subst
absThm
appThm
absThm
appThm
appThm
appThm
trans
197
ref
97
ref
18
ref
127
ref
132
ref
37
ref
719
ref
appTerm
1805
def
1728
remove
appTerm
absTerm
appTerm
1806
def
appTerm
1807
def
refl
1808
def
1783
ref
1722
ref
1722
ref
215
ref
132
ref
18
ref
134
ref
appTerm
1809
def
4
ref
1726
ref
appTerm
1810
def
appTerm
1811
def
absTerm
1812
def
appTerm
absTerm
1813
def
1725
ref
appTerm
betaConv
1814
def
absThm
appThm
appThm
appThm
1783
ref
1722
ref
1808
ref
1814
remove
appThm
absThm
appThm
appThm
nil
"q"
1719
ref
var
1815
def
1813
remove
nil
cons
cons
49
ref
1806
remove
nil
cons
1816
def
cons
nil
cons
1817
def
cons
nil
cons
cons
1780
ref
813
ref
13
ref
57
ref
914
remove
appTerm
appTerm
215
ref
132
ref
57
ref
816
remove
appTerm
absTerm
appTerm
appTerm
absTerm
1818
def
815
ref
appTerm
1819
def
betaConv
49
ref
219
ref
1818
ref
appTerm
1820
def
absTerm
1821
def
52
ref
appTerm
1822
def
betaConv
nil
172
ref
1821
ref
appTerm
1823
def
axiom
nil
49
ref
1823
remove
nil
cons
cons
51
ref
1822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1821
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1820
remove
nil
cons
cons
51
ref
1819
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
1818
remove
nil
cons
cons
825
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1824
def
subst
1825
def
subst
eqMp
1783
ref
1722
ref
97
ref
1808
ref
703
ref
132
ref
1812
ref
133
ref
appTerm
betaConv
1826
def
absThm
appThm
appThm
appThm
703
ref
132
ref
1808
remove
1826
remove
appThm
absThm
appThm
appThm
nil
813
ref
1812
remove
nil
cons
cons
1817
remove
cons
nil
cons
cons
1824
remove
subst
eqMp
absThm
appThm
trans
appThm
246
ref
703
ref
132
ref
97
ref
1801
ref
1783
ref
1722
ref
1722
ref
1810
ref
absTerm
1827
def
1725
ref
appTerm
betaConv
1828
def
absThm
appThm
appThm
appThm
1783
ref
1722
ref
1801
remove
1828
remove
appThm
absThm
appThm
appThm
nil
1815
ref
1827
remove
nil
cons
cons
344
ref
nil
cons
cons
nil
cons
cons
1825
remove
subst
eqMp
absThm
appThm
appThm
1721
ref
1722
ref
127
ref
132
ref
1805
ref
1726
remove
appTerm
1829
def
absTerm
appTerm
absTerm
1830
def
appTerm
1831
def
refl
1832
def
appThm
97
ref
246
ref
703
ref
132
ref
132
ref
1782
ref
1722
ref
1811
ref
absTerm
1833
def
appTerm
absTerm
1834
def
133
ref
appTerm
betaConv
1835
def
absThm
appThm
appThm
1832
ref
appThm
appThm
703
ref
132
ref
246
ref
1835
remove
appThm
1832
ref
appThm
absThm
appThm
appThm
nil
139
ref
1834
remove
nil
cons
cons
51
ref
1831
ref
nil
cons
1836
def
cons
nil
cons
1837
def
cons
nil
cons
cons
51
ref
13
ref
18
ref
722
remove
appTerm
54
ref
appTerm
appTerm
215
ref
132
ref
814
remove
54
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1838
def
54
ref
appTerm
1839
def
betaConv
139
ref
172
ref
1838
ref
appTerm
1840
def
absTerm
1841
def
140
ref
appTerm
1842
def
betaConv
nil
219
ref
1841
ref
appTerm
1843
def
axiom
nil
49
ref
1843
remove
nil
cons
cons
51
ref
1842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
1841
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1840
remove
nil
cons
cons
51
ref
1839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1838
remove
nil
cons
cons
1750
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
1844
def
subst
eqMp
703
ref
132
ref
97
ref
246
ref
1783
ref
1722
ref
1833
ref
1725
ref
appTerm
betaConv
1845
def
absThm
appThm
appThm
1832
ref
appThm
appThm
1783
ref
1722
ref
246
ref
1845
remove
appThm
1832
remove
appThm
absThm
appThm
appThm
nil
"p"
1719
remove
var
1846
def
1833
remove
nil
cons
cons
1837
remove
cons
nil
cons
cons
1780
ref
1844
ref
subst
subst
eqMp
absThm
appThm
trans
trans
appThm
97
ref
197
ref
1783
ref
1722
ref
1722
ref
215
ref
132
ref
1807
remove
1811
ref
appTerm
1847
def
absTerm
1848
def
appTerm
absTerm
1849
def
1725
ref
appTerm
betaConv
1850
def
absThm
appThm
appThm
215
ref
132
ref
1782
ref
1722
ref
18
ref
1811
ref
appTerm
1831
ref
appTerm
absTerm
1851
def
appTerm
absTerm
1852
def
appTerm
1853
def
refl
1854
def
appThm
appThm
1783
ref
1722
ref
197
ref
1850
remove
appThm
1854
remove
appThm
absThm
appThm
appThm
nil
1846
remove
1849
remove
nil
cons
cons
51
ref
1853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1780
ref
51
ref
13
ref
913
remove
54
ref
appTerm
appTerm
215
ref
132
ref
915
remove
54
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1855
def
54
remove
appTerm
1856
def
betaConv
139
ref
172
ref
1855
ref
appTerm
1857
def
absTerm
1858
def
140
remove
appTerm
1859
def
betaConv
nil
219
ref
1858
ref
appTerm
1860
def
axiom
nil
49
ref
1860
remove
nil
cons
cons
51
ref
1859
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
1858
remove
nil
cons
cons
225
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1857
remove
nil
cons
cons
51
ref
1856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1855
remove
nil
cons
cons
1750
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
1783
ref
1722
ref
97
ref
197
ref
703
ref
132
ref
1848
ref
133
ref
appTerm
betaConv
1861
def
absThm
appThm
appThm
703
ref
132
ref
1852
ref
133
ref
appTerm
betaConv
1862
def
absThm
appThm
appThm
appThm
703
ref
132
ref
197
ref
1861
remove
appThm
1862
remove
appThm
absThm
appThm
appThm
nil
139
ref
1848
remove
nil
cons
cons
813
ref
1852
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
922
remove
subst
eqMp
703
ref
132
ref
97
ref
37
ref
1847
ref
appTerm
1863
def
refl
1864
def
1783
ref
1722
ref
1851
ref
1725
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
1783
remove
"y'"
705
ref
var
1865
def
1864
remove
1851
ref
1865
ref
varTerm
1866
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
1815
ref
1851
remove
nil
cons
cons
49
ref
1847
remove
nil
cons
1867
def
cons
1868
def
nil
cons
cons
nil
cons
cons
1780
ref
948
ref
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
1735
remove
assume
eqMp
nil
49
ref
1782
ref
1722
ref
215
ref
132
ref
1782
remove
1865
ref
1863
remove
18
ref
1809
remove
4
ref
1724
ref
1866
ref
appTerm
1869
def
appTerm
1870
def
appTerm
1871
def
appTerm
1831
remove
appTerm
1872
def
appTerm
1873
def
absTerm
1874
def
appTerm
1875
def
absTerm
1876
def
appTerm
1877
def
absTerm
1878
def
appTerm
1879
def
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1778
ref
1722
ref
33
ref
1878
ref
1725
ref
appTerm
1880
def
appTerm
284
ref
appTerm
1881
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1780
ref
337
ref
subst
1882
def
subst
1722
ref
nil
80
ref
1881
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1880
ref
nil
cons
1883
def
cons
291
ref
cons
nil
cons
cons
1884
def
67
ref
subst
1884
remove
137
ref
subst
1880
ref
betaConv
1880
remove
assume
eqMp
nil
49
ref
1877
ref
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
128
ref
132
ref
33
ref
1876
ref
133
ref
appTerm
1885
def
appTerm
284
ref
appTerm
1886
def
absTerm
1887
def
nil
cons
cons
nil
cons
nil
cons
cons
337
ref
subst
132
ref
nil
80
ref
1886
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1885
ref
nil
cons
1888
def
cons
291
ref
cons
nil
cons
cons
1889
def
67
ref
subst
1889
remove
137
ref
subst
1885
ref
betaConv
1885
remove
assume
eqMp
nil
49
ref
1875
ref
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1778
ref
1865
ref
33
ref
1874
ref
1866
ref
appTerm
1890
def
appTerm
284
ref
appTerm
1891
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1882
remove
subst
1865
remove
nil
80
ref
1891
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1890
ref
nil
cons
1892
def
cons
291
ref
cons
nil
cons
cons
1893
def
67
ref
subst
1893
remove
137
ref
subst
1890
ref
betaConv
1890
remove
assume
eqMp
nil
49
ref
1873
remove
nil
cons
1894
def
cons
291
ref
cons
nil
cons
cons
1895
def
116
ref
subst
proveHyp
1895
ref
67
ref
subst
1895
remove
137
ref
subst
nil
49
ref
1872
remove
nil
cons
1896
def
cons
291
ref
cons
nil
cons
cons
1897
def
67
ref
subst
1897
remove
137
ref
subst
nil
"_14633"
705
ref
var
1898
def
1866
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
93
ref
1871
remove
nil
cons
cons
95
ref
1836
ref
cons
nil
cons
cons
nil
cons
cons
1899
def
109
ref
subst
1900
def
nil
93
ref
135
remove
cons
1901
def
95
ref
1870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1902
def
109
ref
subst
proveHyp
nil
344
ref
51
ref
1724
ref
1898
remove
varTerm
1903
def
appTerm
1904
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_14634"
124
ref
var
1905
def
348
ref
cons
nil
cons
nil
cons
cons
nil
1013
ref
4
ref
129
ref
1905
remove
varTerm
1906
def
appTerm
1907
def
appTerm
nil
cons
1908
def
cons
1023
ref
1723
ref
1906
ref
appTerm
1903
ref
appTerm
1909
def
nil
cons
1910
def
cons
nil
cons
cons
nil
cons
cons
1073
ref
subst
155
ref
nil
1023
ref
1907
remove
nil
cons
cons
nil
cons
nil
cons
cons
1096
ref
subst
appThm
1909
remove
refl
appThm
trans
nil
51
ref
1910
remove
cons
49
ref
1908
remove
cons
nil
cons
cons
nil
cons
cons
1108
ref
subst
132
ref
1805
remove
1904
remove
appTerm
absTerm
1911
def
1906
ref
appTerm
1912
def
betaConv
1830
ref
1903
ref
appTerm
1913
def
betaConv
1899
remove
305
ref
subst
nil
49
ref
1836
remove
cons
51
ref
1913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
1779
ref
1778
ref
1830
remove
nil
cons
cons
"x"
705
ref
var
1914
def
1903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
127
ref
1911
ref
appTerm
nil
cons
cons
51
ref
1912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
1911
remove
nil
cons
cons
132
ref
1906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
49
ref
1869
remove
nil
cons
cons
1915
def
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1915
remove
nil
cons
nil
cons
cons
630
ref
subst
1900
remove
1902
remove
305
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
93
ref
1896
ref
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1868
remove
291
ref
cons
nil
cons
cons
1916
def
67
ref
subst
1916
remove
137
ref
subst
nil
"_14632"
705
remove
var
1917
def
1725
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
93
ref
1816
remove
cons
95
ref
1811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1918
def
305
ref
subst
1919
def
nil
1901
remove
95
ref
1810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1920
def
109
ref
subst
proveHyp
nil
344
remove
51
ref
1724
remove
1917
remove
varTerm
1921
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_14631"
124
ref
var
1922
def
348
remove
cons
nil
cons
nil
cons
cons
nil
1013
ref
4
ref
129
ref
1922
remove
varTerm
1923
def
appTerm
1924
def
appTerm
1925
def
nil
cons
1926
def
cons
1023
ref
1723
remove
1923
ref
appTerm
1927
def
1921
ref
appTerm
1928
def
nil
cons
1929
def
cons
nil
cons
cons
nil
cons
cons
1073
remove
subst
155
ref
nil
1023
ref
1924
remove
nil
cons
cons
nil
cons
nil
cons
cons
1096
remove
subst
appThm
1928
remove
refl
appThm
trans
nil
51
ref
1929
remove
cons
49
ref
1926
remove
cons
nil
cons
cons
nil
cons
cons
1108
remove
subst
1722
ref
37
ref
1925
remove
appTerm
1927
remove
1725
remove
appTerm
appTerm
absTerm
1930
def
1921
ref
appTerm
1931
def
betaConv
132
ref
1721
ref
1722
ref
1829
remove
absTerm
appTerm
absTerm
1932
def
1923
ref
appTerm
1933
def
betaConv
897
ref
132
ref
97
ref
197
ref
719
ref
refl
appThm
1934
def
1804
ref
1722
ref
1803
ref
absThm
appThm
appThm
appThm
1804
remove
1722
remove
1934
remove
1803
remove
appThm
absThm
appThm
appThm
nil
1815
remove
1802
remove
cons
49
ref
719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1780
remove
813
ref
13
ref
636
remove
818
remove
appTerm
appTerm
127
ref
941
remove
appTerm
appTerm
absTerm
1935
def
815
remove
appTerm
1936
def
betaConv
49
ref
219
ref
1935
ref
appTerm
1937
def
absTerm
1938
def
52
remove
appTerm
1939
def
betaConv
nil
172
ref
1938
ref
appTerm
1940
def
axiom
nil
49
ref
1940
remove
nil
cons
cons
51
ref
1939
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1938
remove
nil
cons
cons
592
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1937
remove
nil
cons
cons
51
ref
1936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
ref
223
ref
1935
remove
nil
cons
cons
825
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
1918
remove
109
ref
subst
eqMp
nil
49
ref
127
ref
1932
ref
appTerm
nil
cons
cons
51
ref
1933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
1932
remove
nil
cons
cons
132
ref
1923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1721
ref
1930
ref
appTerm
nil
cons
cons
51
ref
1931
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
1779
ref
1778
ref
1930
remove
nil
cons
cons
1914
ref
1921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
49
ref
1784
remove
cons
1941
def
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1941
remove
nil
cons
nil
cons
cons
630
ref
subst
1919
remove
1920
remove
305
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
93
ref
1867
remove
cons
1942
def
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1942
remove
95
ref
1896
remove
cons
1246
ref
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
1894
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
1892
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
1721
ref
1914
ref
33
ref
1874
ref
1914
ref
varTerm
1943
def
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
1875
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
1779
ref
1778
ref
1874
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
1888
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
127
ref
1887
remove
appTerm
nil
cons
cons
51
ref
33
ref
1877
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
1876
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
1883
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
1721
remove
1914
remove
33
ref
1878
ref
1943
remove
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
1879
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
1779
remove
1778
remove
1878
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
1736
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
subst
1944
def
subst
eqMp
154
ref
1715
ref
97
ref
154
ref
262
ref
1712
remove
33
ref
267
ref
1716
ref
appTerm
appTerm
33
ref
4
ref
21
ref
1716
ref
appTerm
1945
def
26
ref
appTerm
1946
def
appTerm
1947
def
appTerm
207
ref
7
ref
1352
ref
1398
ref
1716
ref
appTerm
appTerm
absTerm
appTerm
appTerm
1948
def
appTerm
refl
appThm
absThm
appThm
appThm
155
ref
1711
remove
1716
ref
appTerm
betaConv
appThm
1948
ref
refl
appThm
appThm
nil
1717
remove
95
ref
1948
ref
nil
cons
cons
"e"
6
ref
var
1949
def
1716
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
211
remove
nil
49
ref
13
ref
127
ref
"m"
124
ref
var
1950
def
33
ref
129
ref
1950
ref
varTerm
1951
def
appTerm
1952
def
appTerm
1953
def
33
ref
379
ref
1951
ref
appTerm
"e"
124
ref
var
1954
def
varTerm
1955
def
appTerm
1956
def
appTerm
100
ref
appTerm
appTerm
absTerm
appTerm
appTerm
33
ref
129
ref
1955
ref
appTerm
1957
def
appTerm
100
ref
appTerm
appTerm
1958
def
nil
cons
cons
nil
cons
nil
cons
cons
594
ref
subst
sym
1959
def
128
ref
33
ref
4
ref
1958
ref
appTerm
appTerm
284
ref
appTerm
absTerm
1960
def
129
ref
appTerm
1961
def
betaConv
1954
ref
219
ref
1960
ref
appTerm
1962
def
absTerm
1963
def
1955
ref
appTerm
1964
def
betaConv
95
ref
127
ref
1963
ref
appTerm
1965
def
absTerm
1966
def
100
ref
appTerm
1967
def
betaConv
1124
ref
95
ref
897
ref
1954
ref
219
ref
refl
1968
def
128
ref
1959
remove
absThm
appThm
absThm
appThm
absThm
appThm
97
ref
1124
remove
95
ref
95
ref
127
ref
1954
ref
219
ref
128
ref
1958
remove
absTerm
appTerm
absTerm
appTerm
absTerm
1969
def
100
remove
appTerm
betaConv
absThm
appThm
appThm
246
ref
1969
ref
72
ref
appTerm
betaConv
appThm
1969
ref
284
ref
appTerm
betaConv
appThm
appThm
nil
"p"
3
ref
var
1970
def
1969
remove
nil
cons
cons
nil
cons
nil
cons
cons
1970
ref
13
ref
172
ref
1013
ref
1970
remove
varTerm
1971
def
1031
ref
appTerm
absTerm
appTerm
appTerm
18
ref
1971
ref
72
ref
appTerm
appTerm
1971
ref
284
ref
appTerm
appTerm
appTerm
absTerm
1972
def
1971
ref
appTerm
1973
def
betaConv
nil
29
remove
0
remove
75
ref
2
remove
cons
opType
constTerm
1972
ref
appTerm
1974
def
axiom
nil
49
ref
1974
remove
nil
cons
cons
51
ref
1973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
"A"
11
remove
cons
nil
cons
"P"
75
remove
var
1972
remove
nil
cons
cons
"x"
3
remove
var
1971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
246
ref
897
ref
1954
ref
1968
ref
128
ref
97
ref
897
ref
1950
ref
1953
ref
refl
1975
def
nil
80
ref
1956
ref
nil
cons
1976
def
cons
nil
cons
nil
cons
cons
1977
def
1067
ref
subst
appThm
nil
80
ref
1952
ref
nil
cons
1978
def
cons
nil
cons
nil
cons
cons
1067
ref
subst
trans
absThm
appThm
321
ref
420
ref
subst
1979
def
trans
appThm
nil
80
ref
1957
ref
nil
cons
1980
def
cons
nil
cons
nil
cons
cons
1981
def
1067
remove
subst
appThm
888
ref
trans
absThm
appThm
321
remove
222
ref
210
remove
cons
1982
def
420
remove
subst
subst
trans
absThm
appThm
1979
remove
trans
appThm
897
ref
1954
ref
1968
remove
128
ref
97
ref
897
ref
1950
ref
1975
remove
1977
remove
590
ref
subst
appThm
absThm
appThm
appThm
1981
remove
590
ref
subst
appThm
absThm
appThm
absThm
appThm
appThm
nil
80
ref
127
ref
1954
ref
219
remove
128
ref
13
ref
127
ref
1950
ref
1953
remove
4
ref
1956
ref
appTerm
1983
def
appTerm
absTerm
1984
def
appTerm
1985
def
appTerm
4
ref
1957
ref
appTerm
1986
def
appTerm
1987
def
absTerm
1988
def
appTerm
1989
def
absTerm
1990
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
326
ref
subst
trans
trans
trans
sym
nil
128
ref
1990
remove
nil
cons
cons
nil
cons
nil
cons
cons
337
ref
subst
1954
remove
nil
80
ref
1989
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
223
ref
1988
remove
nil
cons
cons
nil
cons
nil
cons
cons
1982
remove
337
ref
subst
subst
128
ref
nil
80
ref
1987
ref
nil
cons
1991
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
1991
remove
cons
nil
cons
nil
cons
cons
594
remove
subst
sym
nil
49
ref
4
ref
1987
remove
appTerm
1992
def
nil
cons
1993
def
cons
291
ref
cons
nil
cons
cons
1994
def
67
ref
subst
1994
remove
137
ref
subst
nil
49
ref
1985
remove
nil
cons
cons
51
ref
1986
ref
nil
cons
1995
def
cons
nil
cons
1996
def
cons
nil
cons
cons
1757
remove
subst
197
ref
246
ref
897
remove
1950
ref
nil
49
ref
1978
ref
cons
51
ref
1983
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1997
def
1777
remove
subst
absThm
appThm
appThm
nil
49
ref
1980
ref
cons
1998
def
nil
cons
nil
cons
cons
1999
def
591
ref
subst
appThm
appThm
246
ref
nil
128
ref
1984
ref
nil
cons
cons
nil
cons
nil
cons
cons
898
remove
subst
703
ref
1950
ref
5
ref
1984
remove
1951
ref
appTerm
betaConv
appThm
1997
remove
1800
remove
subst
246
ref
1952
ref
refl
appThm
nil
49
ref
1976
ref
cons
nil
cons
nil
cons
cons
591
remove
subst
appThm
trans
trans
absThm
appThm
trans
appThm
1986
ref
refl
2000
def
appThm
appThm
trans
37
ref
18
ref
127
ref
1950
ref
37
ref
4
ref
1952
ref
appTerm
appTerm
1983
remove
appTerm
absTerm
2001
def
appTerm
2002
def
appTerm
1957
ref
appTerm
2003
def
appTerm
2004
def
refl
2005
def
97
ref
246
ref
703
ref
1950
ref
1950
ref
18
ref
1952
remove
appTerm
1956
remove
appTerm
2006
def
absTerm
2007
def
1951
ref
appTerm
betaConv
2008
def
absThm
appThm
appThm
2000
ref
appThm
appThm
703
ref
1950
ref
246
ref
2008
remove
appThm
2000
remove
appThm
absThm
appThm
appThm
nil
139
remove
2007
remove
nil
cons
cons
1996
remove
cons
nil
cons
cons
1844
remove
subst
eqMp
appThm
97
ref
2005
ref
703
ref
1950
ref
1950
ref
18
ref
2006
ref
appTerm
1986
remove
appTerm
2009
def
absTerm
2010
def
1951
ref
appTerm
betaConv
2011
def
absThm
appThm
appThm
appThm
703
remove
1950
ref
2005
remove
2011
remove
appThm
absThm
appThm
appThm
nil
813
remove
2010
remove
nil
cons
cons
49
ref
2003
remove
nil
cons
2012
def
cons
2013
def
nil
cons
cons
nil
cons
cons
948
remove
subst
eqMp
trans
trans
1992
remove
assume
eqMp
nil
49
ref
215
remove
1950
ref
2004
remove
2009
ref
appTerm
2014
def
absTerm
2015
def
appTerm
2016
def
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
128
ref
1950
ref
33
ref
2015
ref
1951
ref
appTerm
2017
def
appTerm
284
ref
appTerm
2018
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
337
remove
subst
1950
remove
nil
80
ref
2018
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2017
ref
nil
cons
2019
def
cons
291
ref
cons
nil
cons
cons
2020
def
67
ref
subst
2020
remove
137
ref
subst
2017
ref
betaConv
2017
remove
assume
eqMp
nil
49
ref
2014
remove
nil
cons
2021
def
cons
291
ref
cons
nil
cons
cons
2022
def
116
ref
subst
proveHyp
2022
ref
67
ref
subst
2022
remove
137
ref
subst
nil
49
ref
2009
remove
nil
cons
2023
def
cons
291
ref
cons
nil
cons
cons
2024
def
67
ref
subst
2024
remove
137
ref
subst
13
ref
"_14640"
124
ref
var
2025
def
129
ref
2025
remove
varTerm
appTerm
absTerm
2026
def
1951
remove
appTerm
2027
def
appTerm
refl
2026
remove
1955
ref
appTerm
betaConv
appThm
97
ref
2027
remove
betaConv
appThm
1957
ref
refl
appThm
trans
132
ref
134
remove
absTerm
refl
nil
93
ref
2006
remove
nil
cons
cons
95
ref
1995
remove
cons
nil
cons
cons
nil
cons
cons
2028
def
109
ref
subst
2029
def
nil
93
ref
1978
remove
cons
95
ref
1976
remove
cons
nil
cons
cons
nil
cons
cons
2030
def
305
ref
subst
proveHyp
appThm
eqMp
2029
remove
2030
remove
109
ref
subst
proveHyp
eqMp
nil
1998
ref
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
1999
remove
630
ref
subst
2028
remove
305
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
2023
ref
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
2013
remove
291
ref
cons
nil
cons
cons
2031
def
67
ref
subst
2031
remove
137
ref
subst
nil
93
ref
2002
remove
nil
cons
2032
def
cons
95
ref
1980
remove
cons
nil
cons
cons
nil
cons
cons
2033
def
305
ref
subst
nil
1998
remove
51
ref
379
ref
1955
ref
appTerm
1955
ref
appTerm
2034
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
132
ref
1955
ref
nil
cons
2035
def
cons
nil
cons
2036
def
nil
cons
cons
147
remove
subst
eqMp
nil
49
ref
18
ref
1957
remove
appTerm
2034
remove
appTerm
nil
cons
cons
291
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
"_14635"
124
remove
var
2037
def
2035
remove
cons
nil
cons
nil
cons
cons
nil
1013
remove
379
remove
2037
remove
varTerm
2038
def
appTerm
1955
remove
appTerm
2039
def
nil
cons
cons
1023
remove
129
remove
2038
ref
appTerm
2040
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1030
remove
51
ref
13
ref
1129
remove
1033
ref
appTerm
appTerm
4
ref
18
ref
1026
ref
appTerm
1031
ref
appTerm
appTerm
appTerm
nil
cons
2041
def
cons
nil
cons
2042
def
cons
nil
cons
cons
2043
def
67
ref
subst
2043
remove
137
ref
subst
13
ref
"_614"
1
ref
var
2044
def
13
ref
37
ref
4
ref
2044
remove
varTerm
2045
def
appTerm
appTerm
1033
ref
appTerm
appTerm
4
ref
18
ref
2045
remove
appTerm
1031
ref
appTerm
appTerm
appTerm
absTerm
2046
def
1026
remove
appTerm
2047
def
appTerm
refl
2048
def
2046
ref
284
ref
appTerm
betaConv
appThm
97
ref
2047
remove
betaConv
appThm
2049
def
13
ref
879
remove
1033
ref
appTerm
appTerm
4
ref
391
remove
1031
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2046
remove
refl
2050
def
1046
remove
appThm
eqMp
sym
97
ref
882
remove
1087
ref
appThm
1051
ref
677
ref
subst
trans
appThm
5
ref
1048
ref
395
ref
subst
appThm
320
ref
trans
appThm
888
remove
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1053
remove
95
ref
2041
ref
cons
nil
cons
2051
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
1057
remove
2042
remove
cons
nil
cons
cons
2052
def
67
ref
subst
2052
remove
137
ref
subst
2048
remove
"_612"
1
remove
var
2053
def
13
ref
37
ref
4
ref
2053
remove
varTerm
2054
def
appTerm
appTerm
1033
ref
appTerm
appTerm
4
ref
18
ref
2054
remove
appTerm
1031
ref
appTerm
appTerm
appTerm
absTerm
72
remove
appTerm
betaConv
appThm
2049
remove
13
ref
893
remove
1033
remove
appTerm
appTerm
4
ref
322
remove
1031
remove
appTerm
appTerm
appTerm
refl
appThm
trans
2050
remove
1062
remove
appThm
eqMp
sym
97
ref
895
remove
1087
remove
appThm
1051
remove
655
ref
subst
trans
appThm
5
ref
1048
remove
326
ref
subst
appThm
appThm
1088
remove
trans
sym
86
ref
eqMp
eqMp
eqMp
nil
1068
ref
2051
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1071
remove
nil
1068
remove
1072
remove
696
ref
2041
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
49
ref
18
ref
2040
remove
appTerm
2039
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
630
remove
subst
trans
2001
ref
2038
ref
appTerm
2055
def
betaConv
2033
remove
109
ref
subst
nil
49
ref
2032
remove
cons
51
ref
2055
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
2001
remove
nil
cons
cons
132
ref
2038
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
93
ref
2012
remove
cons
2056
def
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
2056
remove
95
ref
2023
remove
cons
1246
remove
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
eqMp
nil
93
ref
2021
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2019
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
127
remove
132
remove
33
ref
2015
ref
133
remove
appTerm
appTerm
284
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
2016
remove
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
ref
128
ref
2015
remove
nil
cons
cons
729
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
1993
remove
cons
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
49
ref
172
ref
1966
ref
appTerm
nil
cons
cons
51
ref
1967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
1966
remove
nil
cons
cons
1270
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1965
remove
nil
cons
cons
51
ref
1964
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
347
remove
128
remove
1963
remove
nil
cons
cons
2036
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1962
remove
nil
cons
cons
51
ref
1961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
222
remove
223
remove
1960
remove
nil
cons
cons
224
remove
704
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
subst
2057
def
subst
eqMp
absThm
appThm
trans
appThm
1701
ref
refl
2058
def
appThm
sym
nil
49
ref
31
ref
1715
ref
33
ref
550
ref
1716
ref
appTerm
35
ref
appTerm
appTerm
1948
ref
appTerm
absTerm
2059
def
appTerm
nil
cons
2060
def
cons
2061
def
51
ref
1704
ref
cons
nil
cons
2062
def
cons
nil
cons
cons
2063
def
67
ref
subst
2063
remove
137
ref
subst
nil
49
ref
239
ref
nil
cons
2064
def
cons
2065
def
51
ref
1700
ref
nil
cons
2066
def
cons
nil
cons
2067
def
cons
nil
cons
cons
2068
def
67
ref
subst
2068
remove
137
ref
subst
nil
49
ref
241
ref
nil
cons
2069
def
cons
2070
def
2067
ref
cons
nil
cons
cons
2071
def
67
ref
subst
2071
remove
137
ref
subst
nil
49
ref
4
ref
15
ref
35
ref
appTerm
2072
def
appTerm
2073
def
nil
cons
2074
def
cons
2067
ref
cons
nil
cons
cons
2075
def
67
ref
subst
2075
remove
137
ref
subst
5
ref
nil
1275
remove
nil
cons
nil
cons
cons
149
remove
subst
2076
def
appThm
2073
remove
assume
eqMp
nil
49
ref
4
ref
240
ref
31
ref
1715
ref
33
ref
34
ref
1716
ref
appTerm
35
ref
appTerm
2077
def
appTerm
37
ref
1946
ref
appTerm
1945
remove
35
ref
appTerm
2078
def
appTerm
2079
def
appTerm
absTerm
2080
def
appTerm
2081
def
appTerm
appTerm
nil
cons
cons
2067
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
5
ref
246
ref
5
ref
nil
2065
ref
51
ref
13
ref
39
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
229
ref
cons
2082
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
appThm
320
ref
trans
appThm
2083
def
2081
ref
refl
appThm
nil
80
ref
2081
remove
nil
cons
cons
nil
cons
nil
cons
cons
326
ref
subst
trans
2084
def
appThm
97
ref
5
ref
154
ref
1715
ref
2080
ref
1716
ref
appTerm
betaConv
2085
def
absThm
appThm
appThm
appThm
208
ref
1715
ref
5
ref
2085
remove
appThm
absThm
appThm
appThm
nil
209
ref
2080
remove
nil
cons
cons
nil
cons
nil
cons
cons
227
remove
subst
eqMp
208
remove
1715
ref
nil
180
ref
2079
remove
nil
cons
cons
182
ref
2077
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
180
ref
13
ref
4
ref
33
ref
183
ref
appTerm
185
ref
appTerm
appTerm
appTerm
184
remove
187
remove
appTerm
appTerm
absTerm
2086
def
185
remove
appTerm
2087
def
betaConv
182
ref
172
ref
2086
ref
appTerm
2088
def
absTerm
2089
def
183
remove
appTerm
2090
def
betaConv
nil
172
remove
2089
ref
appTerm
2091
def
axiom
nil
49
ref
2091
remove
nil
cons
cons
51
ref
2090
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
ref
2089
remove
nil
cons
cons
194
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2088
remove
nil
cons
cons
51
ref
2087
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
175
remove
2086
remove
nil
cons
cons
195
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
18
ref
2077
remove
appTerm
2092
def
refl
nil
180
ref
2078
ref
nil
cons
cons
182
ref
1946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
238
remove
subst
appThm
trans
absThm
appThm
trans
trans
appThm
1700
ref
refl
2093
def
appThm
sym
nil
118
ref
262
ref
33
ref
1715
ref
2092
remove
18
ref
1947
remove
appTerm
4
ref
2078
remove
appTerm
appTerm
appTerm
absTerm
2094
def
264
ref
appTerm
2095
def
appTerm
1700
ref
appTerm
2096
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
2096
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2095
ref
nil
cons
2097
def
cons
2067
ref
cons
nil
cons
cons
2098
def
67
ref
subst
2098
remove
137
ref
subst
2095
ref
betaConv
2095
remove
assume
eqMp
nil
49
ref
18
ref
34
ref
264
ref
appTerm
35
ref
appTerm
2099
def
appTerm
18
ref
4
ref
267
ref
26
ref
appTerm
2100
def
appTerm
2101
def
appTerm
4
ref
268
ref
appTerm
2102
def
appTerm
2103
def
appTerm
nil
cons
2104
def
cons
2067
ref
cons
nil
cons
cons
2105
def
116
ref
subst
proveHyp
2105
ref
67
ref
subst
2105
remove
137
ref
subst
nil
93
ref
2099
ref
nil
cons
2106
def
cons
2107
def
95
ref
2103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2108
def
109
ref
subst
2108
remove
305
ref
subst
nil
93
ref
2101
ref
nil
cons
2109
def
cons
2110
def
95
ref
2102
ref
nil
cons
2111
def
cons
nil
cons
cons
nil
cons
cons
2112
def
109
ref
subst
2112
remove
305
ref
subst
2059
ref
264
ref
appTerm
2113
def
betaConv
nil
2061
remove
51
ref
2113
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
2059
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1705
ref
33
ref
2101
remove
appTerm
207
ref
7
ref
1352
ref
1549
ref
appTerm
2114
def
absTerm
2115
def
appTerm
2116
def
appTerm
2117
def
appTerm
nil
cons
cons
2067
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
1705
ref
refl
155
ref
5
ref
nil
49
ref
2109
ref
cons
2118
def
51
ref
13
ref
2100
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
2100
ref
nil
cons
2119
def
cons
2120
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
2121
def
appThm
320
ref
trans
appThm
2116
ref
refl
appThm
nil
80
ref
2116
ref
nil
cons
2122
def
cons
nil
cons
nil
cons
cons
179
remove
subst
trans
2123
def
appThm
appThm
2093
remove
appThm
sym
32
ref
562
remove
537
ref
2102
remove
appTerm
appTerm
absTerm
2124
def
35
ref
appTerm
2125
def
betaConv
262
ref
31
ref
2124
ref
appTerm
2126
def
absTerm
2127
def
264
ref
appTerm
2128
def
betaConv
nil
31
ref
2127
ref
appTerm
2129
def
axiom
nil
49
ref
2129
remove
nil
cons
cons
51
ref
2128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2127
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2126
remove
nil
cons
cons
51
ref
2125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2124
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
537
ref
refl
5
ref
nil
49
ref
2111
remove
cons
51
ref
533
remove
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
268
ref
nil
cons
2130
def
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
appThm
320
ref
trans
appThm
nil
80
ref
536
ref
nil
cons
2131
def
cons
nil
cons
nil
cons
cons
427
ref
subst
trans
trans
sym
246
ref
5
ref
nil
2070
ref
51
ref
13
ref
167
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
228
ref
cons
2132
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
2133
def
appThm
320
ref
trans
appThm
2134
def
nil
80
ref
2106
ref
cons
nil
cons
nil
cons
cons
87
ref
subst
2099
ref
assume
eqMp
2135
def
appThm
327
ref
trans
sym
86
ref
eqMp
nil
49
ref
18
ref
241
ref
appTerm
2136
def
2099
ref
appTerm
nil
cons
cons
51
ref
2131
ref
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1462
remove
156
ref
275
ref
cons
nil
cons
cons
nil
cons
cons
1461
ref
33
ref
18
ref
4
ref
21
ref
1464
ref
appTerm
8
ref
appTerm
appTerm
appTerm
2137
def
1523
remove
appTerm
appTerm
534
ref
159
ref
appTerm
1464
ref
appTerm
appTerm
absTerm
2138
def
1464
ref
appTerm
2139
def
betaConv
156
ref
31
ref
2138
ref
appTerm
2140
def
absTerm
2141
def
159
ref
appTerm
2142
def
betaConv
nil
31
ref
2141
ref
appTerm
2143
def
axiom
nil
49
ref
2143
remove
nil
cons
cons
51
ref
2142
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2141
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2140
remove
nil
cons
cons
51
ref
2139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2138
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2144
def
subst
eqMp
2145
def
eqMp
nil
49
ref
561
ref
nil
cons
cons
2146
def
51
ref
33
ref
2116
ref
appTerm
2147
def
1700
ref
appTerm
2148
def
nil
cons
cons
nil
cons
2149
def
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
118
ref
7
ref
33
ref
2115
ref
16
ref
appTerm
2150
def
appTerm
2151
def
1700
ref
appTerm
2152
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
2152
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2150
ref
nil
cons
2153
def
cons
2154
def
2067
ref
cons
nil
cons
cons
2155
def
67
ref
subst
2155
remove
137
ref
subst
2150
ref
betaConv
2150
remove
assume
eqMp
2156
def
nil
49
ref
2114
remove
nil
cons
2157
def
cons
2158
def
2067
ref
cons
nil
cons
cons
2159
def
116
ref
subst
proveHyp
2159
ref
67
ref
subst
2159
remove
137
ref
subst
nil
1364
ref
95
ref
1678
ref
cons
nil
cons
cons
nil
cons
cons
2160
def
109
ref
subst
2161
def
2160
remove
305
ref
subst
2162
def
1699
ref
16
ref
appTerm
betaConv
sym
1370
ref
1457
remove
appThm
1451
remove
326
ref
subst
trans
sym
1461
ref
18
ref
1398
ref
1464
ref
appTerm
appTerm
1593
ref
35
ref
appTerm
appTerm
absTerm
2163
def
264
ref
appTerm
betaConv
sym
246
ref
nil
80
ref
1678
remove
cons
nil
cons
nil
cons
cons
87
ref
subst
1549
ref
assume
eqMp
2164
def
appThm
2135
remove
appThm
327
ref
trans
sym
86
ref
eqMp
eqMp
117
ref
118
ref
2163
ref
nil
cons
cons
276
ref
cons
nil
cons
cons
352
ref
subst
proveHyp
nil
49
ref
207
ref
2163
remove
appTerm
nil
cons
cons
1501
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1596
remove
1371
ref
cons
nil
cons
cons
1664
remove
subst
eqMp
2165
def
eqMp
eqMp
117
ref
118
ref
1699
ref
nil
cons
cons
2166
def
123
ref
cons
nil
cons
cons
352
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
2157
remove
cons
2167
def
95
ref
2066
ref
cons
nil
cons
2168
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2153
remove
cons
2169
def
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2115
ref
1156
ref
appTerm
appTerm
2170
def
1700
ref
appTerm
absTerm
appTerm
nil
cons
cons
2149
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2115
remove
nil
cons
cons
2171
def
2168
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
nil
49
ref
18
ref
561
ref
appTerm
2148
remove
appTerm
nil
cons
cons
51
ref
33
ref
1705
ref
2116
remove
appTerm
appTerm
1700
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
355
ref
2066
ref
cons
51
ref
2122
remove
cons
2146
remove
nil
cons
cons
cons
nil
cons
cons
nil
49
ref
57
remove
358
ref
appTerm
nil
cons
2172
def
cons
51
ref
33
ref
55
remove
appTerm
356
remove
appTerm
nil
cons
2173
def
cons
nil
cons
cons
nil
cons
cons
2174
def
67
ref
subst
2174
remove
137
ref
subst
nil
300
remove
51
ref
1110
ref
cons
nil
cons
2175
def
cons
nil
cons
cons
2176
def
67
ref
subst
2176
remove
137
ref
subst
nil
94
remove
95
ref
358
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2177
def
109
ref
subst
116
ref
proveHyp
110
remove
eqMp
nil
295
remove
2175
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
2177
remove
305
ref
subst
eqMp
eqMp
nil
303
remove
95
ref
1110
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
2172
remove
cons
95
ref
2173
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
2178
def
subst
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
2104
remove
cons
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2097
remove
cons
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2094
ref
1156
ref
appTerm
appTerm
1700
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
207
ref
2094
ref
appTerm
appTerm
1700
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2094
remove
nil
cons
cons
2168
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2074
ref
cons
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
2072
ref
nil
cons
2179
def
cons
2180
def
2067
ref
cons
nil
cons
cons
2181
def
67
ref
subst
2181
remove
137
ref
subst
1699
ref
35
ref
appTerm
betaConv
sym
246
ref
nil
80
ref
2179
ref
cons
nil
cons
nil
cons
cons
87
ref
subst
2072
ref
assume
eqMp
appThm
2182
def
158
ref
1617
remove
subst
appThm
327
ref
trans
sym
86
ref
eqMp
eqMp
117
ref
2166
ref
256
ref
cons
nil
cons
cons
352
ref
subst
proveHyp
eqMp
nil
93
ref
2179
ref
cons
2183
def
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
ref
2072
ref
appTerm
2184
def
betaConv
1220
ref
nil
1221
ref
51
ref
2184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
1222
ref
176
ref
2179
ref
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
2183
ref
95
ref
2074
remove
cons
696
ref
2066
remove
cons
nil
cons
2185
def
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
2069
ref
cons
2186
def
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
228
ref
cons
2187
def
2067
remove
cons
nil
cons
cons
2188
def
67
ref
subst
2188
remove
137
ref
subst
1699
remove
400
remove
appTerm
betaConv
sym
1367
remove
1372
remove
refl
167
ref
assume
2189
def
appThm
nil
156
ref
401
remove
cons
nil
cons
nil
cons
cons
166
remove
subst
trans
appThm
327
ref
trans
sym
86
ref
eqMp
eqMp
117
ref
2166
remove
1377
remove
nil
cons
cons
nil
cons
cons
352
ref
subst
proveHyp
eqMp
nil
2132
ref
2168
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
ref
167
remove
appTerm
2190
def
betaConv
1220
ref
nil
1221
ref
51
ref
2190
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
1222
ref
176
ref
228
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
2191
def
nil
2132
ref
95
ref
2069
remove
cons
2192
def
2185
remove
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
2064
ref
cons
2193
def
2168
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
2060
remove
cons
95
ref
1704
remove
cons
2194
def
nil
cons
2195
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
1710
remove
appTerm
nil
cons
cons
2062
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
97
ref
154
ref
"_29139"
6
ref
var
2196
def
155
ref
2196
ref
31
ref
262
ref
33
ref
560
remove
2196
ref
varTerm
2197
def
appTerm
appTerm
2198
def
1708
remove
appTerm
absTerm
appTerm
2199
def
absTerm
2200
def
2197
ref
appTerm
betaConv
appThm
2201
def
154
ref
32
ref
2196
ref
32
ref
33
ref
21
ref
2197
ref
appTerm
35
ref
appTerm
appTerm
1701
remove
appTerm
2202
def
absTerm
2203
def
absTerm
2204
def
2197
ref
appTerm
betaConv
747
ref
appThm
2203
ref
35
ref
appTerm
betaConv
trans
2205
def
absThm
appThm
appThm
absThm
appThm
appThm
154
ref
32
ref
154
ref
2196
ref
2201
ref
2205
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
118
ref
2200
ref
nil
cons
cons
2206
def
1718
remove
2204
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1944
remove
subst
eqMp
154
ref
32
ref
97
ref
154
ref
2196
ref
2201
remove
2202
remove
refl
appThm
absThm
appThm
appThm
155
ref
2200
remove
35
ref
appTerm
betaConv
appThm
2058
ref
appThm
appThm
nil
2206
remove
2194
remove
1949
remove
157
ref
cons
nil
cons
cons
cons
nil
cons
cons
2057
remove
subst
eqMp
absThm
appThm
trans
appThm
2058
remove
appThm
nil
49
ref
31
ref
2196
ref
33
ref
2199
remove
appTerm
31
ref
2203
remove
appTerm
2207
def
appTerm
absTerm
appTerm
nil
cons
2208
def
cons
2209
def
2062
ref
cons
nil
cons
cons
2210
def
67
ref
subst
2210
remove
137
ref
subst
747
ref
nil
1007
remove
2062
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
1715
ref
33
ref
38
remove
1716
ref
appTerm
appTerm
1948
remove
appTerm
absTerm
2211
def
35
ref
appTerm
2212
def
betaConv
2196
ref
2207
remove
absTerm
2213
def
35
ref
appTerm
2214
def
betaConv
nil
2209
remove
51
ref
31
ref
2213
ref
appTerm
nil
cons
2215
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
155
ref
154
ref
2196
ref
155
ref
154
ref
262
ref
2198
remove
refl
2213
ref
264
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2213
ref
2197
remove
appTerm
betaConv
2216
def
appThm
absThm
appThm
appThm
154
ref
2196
remove
2216
remove
absThm
appThm
appThm
nil
209
ref
2213
remove
nil
cons
2217
def
cons
nil
cons
nil
cons
cons
209
remove
33
ref
31
ref
32
ref
33
ref
31
ref
262
ref
1705
remove
490
ref
264
ref
appTerm
appTerm
absTerm
appTerm
appTerm
491
remove
appTerm
absTerm
appTerm
appTerm
492
remove
appTerm
absTerm
2218
def
490
remove
appTerm
2219
def
betaConv
nil
495
remove
2218
ref
appTerm
2220
def
axiom
nil
49
ref
2220
remove
nil
cons
cons
51
ref
2219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
497
remove
498
remove
2218
remove
nil
cons
cons
499
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
49
ref
2215
remove
cons
51
ref
2214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2217
remove
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
2211
ref
appTerm
nil
cons
cons
51
ref
2212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2211
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2208
remove
cons
2195
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
2221
def
nil
31
ref
1702
ref
appTerm
2222
def
thm
nil
118
ref
32
ref
13
ref
2072
ref
appTerm
2223
def
2136
remove
240
remove
31
ref
7
ref
33
ref
1352
ref
550
remove
16
ref
appTerm
2224
def
35
ref
appTerm
2225
def
appTerm
2226
def
appTerm
1400
ref
appTerm
2227
def
absTerm
2228
def
appTerm
2229
def
appTerm
2230
def
appTerm
appTerm
2231
def
absTerm
2232
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
2231
remove
nil
cons
2233
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
2070
remove
51
ref
2233
ref
cons
nil
cons
2234
def
cons
nil
cons
cons
2235
def
67
ref
subst
2235
remove
137
ref
subst
2223
ref
refl
2236
def
2134
remove
2230
ref
refl
appThm
nil
80
ref
2230
ref
nil
cons
cons
nil
cons
nil
cons
cons
326
ref
subst
trans
appThm
sym
nil
2065
remove
51
ref
2223
remove
2230
remove
appTerm
nil
cons
2237
def
cons
nil
cons
2238
def
cons
nil
cons
cons
2239
def
67
ref
subst
2239
remove
137
ref
subst
2236
remove
2083
remove
2229
ref
refl
appThm
nil
80
ref
2229
ref
nil
cons
2240
def
cons
nil
cons
nil
cons
cons
326
ref
subst
trans
appThm
sym
nil
2180
remove
51
ref
2240
ref
cons
nil
cons
cons
nil
cons
cons
2241
def
306
remove
subst
2241
ref
67
ref
subst
2241
remove
137
ref
subst
nil
118
ref
2228
ref
nil
cons
cons
2242
def
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
2227
remove
nil
cons
2243
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2226
remove
nil
cons
2244
def
cons
51
ref
1414
ref
cons
nil
cons
cons
nil
cons
cons
2245
def
67
ref
subst
2245
remove
137
ref
subst
nil
1364
ref
95
ref
2225
ref
nil
cons
2246
def
cons
nil
cons
cons
nil
cons
cons
2247
def
109
ref
subst
2247
remove
305
ref
subst
1515
remove
1537
ref
subst
nil
49
ref
1450
remove
cons
2248
def
291
ref
cons
nil
cons
cons
2249
def
67
ref
subst
2249
remove
137
ref
subst
nil
49
ref
2246
ref
cons
291
ref
cons
nil
cons
cons
116
ref
subst
nil
80
ref
2246
ref
cons
nil
cons
nil
cons
cons
2250
def
590
ref
subst
nil
558
remove
nil
cons
cons
32
ref
13
ref
4
ref
561
remove
appTerm
appTerm
539
ref
appTerm
absTerm
2251
def
35
ref
appTerm
2252
def
betaConv
262
ref
31
ref
2251
ref
appTerm
2253
def
absTerm
2254
def
264
ref
appTerm
2255
def
betaConv
nil
31
ref
2254
ref
appTerm
2256
def
axiom
nil
49
ref
2256
remove
nil
cons
cons
51
ref
2255
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2254
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2253
remove
nil
cons
cons
51
ref
2252
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2251
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
2257
def
trans
sym
1370
ref
2182
remove
1453
remove
1399
ref
assume
eqMp
appThm
327
ref
trans
appThm
327
ref
trans
sym
86
ref
eqMp
nil
49
ref
1352
ref
18
ref
2072
ref
appTerm
1399
ref
appTerm
appTerm
nil
cons
cons
51
ref
22
ref
35
ref
appTerm
nil
cons
2258
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1306
remove
157
ref
cons
1305
remove
121
remove
cons
nil
cons
cons
nil
cons
cons
1351
remove
subst
eqMp
nil
49
ref
2258
remove
cons
51
ref
41
remove
nil
cons
2259
def
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
122
remove
1154
remove
157
remove
cons
nil
cons
cons
nil
cons
cons
1397
remove
subst
eqMp
nil
49
ref
2259
remove
cons
51
ref
538
ref
16
ref
appTerm
2260
def
nil
cons
2261
def
cons
2262
def
nil
cons
2263
def
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
530
remove
466
ref
cons
nil
cons
cons
32
ref
1706
remove
536
ref
appTerm
absTerm
2264
def
35
ref
appTerm
2265
def
betaConv
262
ref
31
ref
2264
ref
appTerm
2266
def
absTerm
2267
def
264
ref
appTerm
2268
def
betaConv
nil
31
ref
2267
ref
appTerm
2269
def
axiom
nil
49
ref
2269
remove
nil
cons
cons
51
ref
2268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2267
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2266
remove
nil
cons
cons
51
ref
2265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2264
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
1514
remove
729
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
93
ref
2244
remove
cons
1415
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
2183
remove
95
ref
2240
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
33
ref
2072
ref
appTerm
2229
ref
appTerm
nil
cons
cons
51
ref
33
ref
2229
remove
appTerm
2072
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
49
ref
2240
ref
cons
2270
def
51
ref
2179
ref
cons
nil
cons
cons
nil
cons
cons
2271
def
67
ref
subst
2271
remove
137
ref
subst
2076
remove
sym
2084
remove
sym
nil
118
ref
262
ref
33
ref
2099
remove
appTerm
37
ref
2100
ref
appTerm
268
ref
appTerm
2272
def
appTerm
2273
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
2273
remove
nil
cons
2274
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
4
ref
267
remove
8
ref
appTerm
2275
def
appTerm
2276
def
nil
cons
2277
def
cons
2278
def
51
ref
2274
ref
cons
nil
cons
2279
def
cons
nil
cons
cons
2280
def
67
ref
subst
2280
remove
137
ref
subst
nil
49
ref
2106
remove
cons
51
ref
2272
remove
nil
cons
2281
def
cons
nil
cons
2282
def
cons
nil
cons
cons
2283
def
67
ref
subst
2283
remove
137
ref
subst
nil
2118
remove
2282
ref
cons
nil
cons
cons
2284
def
67
ref
subst
2284
remove
137
ref
subst
197
ref
2121
remove
appThm
268
ref
refl
2285
def
appThm
nil
80
ref
2130
ref
cons
nil
cons
nil
cons
cons
655
ref
subst
trans
sym
1702
ref
264
ref
appTerm
2286
def
betaConv
2221
ref
nil
49
ref
2222
remove
nil
cons
cons
2287
def
51
ref
2286
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
1703
ref
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2117
remove
nil
cons
cons
51
ref
2130
ref
cons
nil
cons
2288
def
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
2123
remove
appThm
2285
ref
appThm
sym
nil
118
ref
7
ref
2151
remove
268
ref
appTerm
2289
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
2289
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
2154
remove
2288
ref
cons
nil
cons
cons
2290
def
67
ref
subst
2290
remove
137
ref
subst
2156
remove
nil
2158
remove
2288
ref
cons
nil
cons
cons
2291
def
116
ref
subst
proveHyp
2291
ref
67
ref
subst
2291
remove
137
ref
subst
2161
remove
2162
remove
2228
remove
16
ref
appTerm
2292
def
betaConv
nil
2270
remove
51
ref
2292
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
2242
remove
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2243
remove
cons
2288
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
155
ref
1370
remove
2225
ref
refl
appThm
2250
remove
326
ref
subst
trans
appThm
1401
remove
appThm
appThm
2285
ref
appThm
sym
nil
49
ref
33
ref
2225
ref
appTerm
1400
ref
appTerm
2293
def
nil
cons
2294
def
cons
2288
ref
cons
nil
cons
cons
2295
def
67
ref
subst
2295
remove
137
ref
subst
nil
182
ref
1414
remove
cons
180
ref
2246
remove
cons
nil
cons
cons
nil
cons
cons
1511
ref
subst
2293
remove
assume
eqMp
nil
49
ref
33
ref
4
ref
1400
remove
appTerm
appTerm
4
ref
2225
remove
appTerm
appTerm
nil
cons
cons
2288
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
ref
155
ref
1452
remove
appThm
2257
remove
appThm
appThm
2285
remove
appThm
sym
2165
remove
nil
2248
ref
51
ref
33
ref
2260
ref
appTerm
268
ref
appTerm
2296
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
49
ref
2261
ref
cons
2288
remove
cons
nil
cons
cons
2297
def
67
ref
subst
2297
remove
137
ref
subst
548
remove
sym
2145
remove
nil
49
ref
2131
remove
cons
51
ref
539
ref
nil
cons
cons
nil
cons
2298
def
cons
nil
cons
cons
137
ref
subst
proveHyp
1715
ref
18
ref
538
remove
1716
ref
appTerm
2299
def
appTerm
534
ref
1716
remove
appTerm
2300
def
264
ref
appTerm
appTerm
absTerm
2301
def
16
ref
appTerm
betaConv
sym
246
ref
nil
80
ref
2261
ref
cons
nil
cons
nil
cons
cons
2302
def
87
ref
subst
2260
ref
assume
eqMp
appThm
549
ref
264
ref
appTerm
2303
def
refl
appThm
nil
80
ref
2303
remove
nil
cons
2304
def
cons
nil
cons
nil
cons
cons
326
remove
subst
trans
sym
246
ref
5
ref
nil
2278
remove
51
ref
13
ref
2275
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
93
ref
2275
ref
nil
cons
2305
def
cons
2306
def
nil
cons
nil
cons
cons
317
ref
subst
eqMp
appThm
320
ref
trans
appThm
2164
remove
appThm
327
remove
trans
sym
86
ref
eqMp
nil
49
ref
18
ref
2276
remove
appTerm
1549
remove
appTerm
nil
cons
cons
51
ref
2304
remove
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1597
remove
nil
cons
cons
2144
remove
subst
eqMp
eqMp
eqMp
117
ref
118
ref
2301
ref
nil
cons
cons
123
ref
cons
nil
cons
cons
352
ref
subst
proveHyp
nil
49
ref
207
ref
2301
remove
appTerm
nil
cons
cons
2298
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
7
ref
275
remove
cons
466
remove
cons
nil
cons
cons
7
ref
33
ref
207
ref
32
ref
537
remove
2260
ref
appTerm
2307
def
absTerm
2308
def
appTerm
2309
def
appTerm
2310
def
535
remove
16
ref
appTerm
2311
def
appTerm
2312
def
absTerm
2313
def
16
ref
appTerm
2314
def
betaConv
262
ref
31
ref
2313
ref
appTerm
2315
def
absTerm
2316
def
264
ref
appTerm
2317
def
betaConv
nil
31
ref
262
ref
31
ref
32
ref
31
ref
7
ref
33
ref
2307
ref
appTerm
2311
ref
appTerm
absTerm
2318
def
appTerm
2319
def
absTerm
2320
def
appTerm
2321
def
absTerm
2322
def
appTerm
2323
def
axiom
nil
49
ref
2323
ref
nil
cons
2324
def
cons
2325
def
51
ref
31
ref
2316
ref
appTerm
nil
cons
2326
def
cons
nil
cons
cons
nil
cons
cons
2327
def
116
ref
subst
proveHyp
2327
ref
67
ref
subst
2327
remove
137
ref
subst
nil
118
ref
2316
remove
nil
cons
cons
2328
def
nil
cons
nil
cons
cons
458
ref
subst
262
ref
nil
80
ref
2315
remove
nil
cons
2329
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
2313
remove
nil
cons
cons
2330
def
nil
cons
nil
cons
cons
458
ref
subst
7
ref
nil
80
ref
2312
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2309
remove
nil
cons
2331
def
cons
2332
def
51
ref
2311
ref
nil
cons
2333
def
cons
nil
cons
2334
def
cons
nil
cons
cons
2335
def
67
ref
subst
2335
remove
137
ref
subst
nil
2325
ref
2334
ref
cons
nil
cons
cons
2336
def
116
ref
subst
nil
2332
remove
51
ref
33
ref
2323
remove
appTerm
2311
remove
appTerm
2337
def
nil
cons
2338
def
cons
nil
cons
2339
def
cons
nil
cons
cons
116
ref
subst
nil
118
ref
32
ref
33
ref
2308
ref
35
ref
appTerm
2340
def
appTerm
2337
ref
appTerm
2341
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
2341
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2340
ref
nil
cons
2342
def
cons
2339
ref
cons
nil
cons
cons
2343
def
67
ref
subst
2343
remove
137
ref
subst
2340
ref
betaConv
2340
remove
assume
eqMp
nil
49
ref
2307
remove
nil
cons
2344
def
cons
2345
def
2339
remove
cons
nil
cons
cons
2346
def
116
ref
subst
proveHyp
2346
ref
67
ref
subst
2346
remove
137
ref
subst
2336
ref
67
ref
subst
2336
remove
137
ref
subst
nil
2345
remove
2334
remove
cons
nil
cons
cons
116
ref
subst
2318
ref
16
ref
appTerm
2347
def
betaConv
2320
ref
35
ref
appTerm
2348
def
betaConv
2322
ref
264
ref
appTerm
2349
def
betaConv
nil
2325
remove
51
ref
2349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
2322
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2321
remove
nil
cons
cons
51
ref
2348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2320
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2319
remove
nil
cons
cons
51
ref
2347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2318
remove
nil
cons
cons
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2324
remove
cons
2350
def
95
ref
2333
remove
cons
nil
cons
2351
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
2344
remove
cons
95
ref
2338
remove
cons
nil
cons
2352
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2342
remove
cons
2352
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2308
ref
1156
ref
appTerm
appTerm
2337
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
2310
remove
2337
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2308
remove
nil
cons
cons
2352
remove
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2331
remove
cons
2351
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2350
remove
95
ref
2326
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
2326
remove
cons
51
ref
2317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
2328
remove
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2329
remove
cons
51
ref
2314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
2330
remove
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2261
ref
cons
2353
def
95
ref
2130
ref
cons
nil
cons
2354
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
18
ref
1399
ref
appTerm
2296
remove
appTerm
nil
cons
cons
51
ref
33
ref
33
ref
1399
remove
appTerm
2260
ref
appTerm
appTerm
268
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
355
ref
2130
remove
cons
2262
remove
2248
remove
nil
cons
cons
cons
nil
cons
cons
2178
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2294
remove
cons
2354
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
2167
remove
2354
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2169
remove
2354
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
2170
remove
268
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
2147
remove
268
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
2171
remove
2354
remove
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2110
remove
95
ref
2281
ref
cons
nil
cons
2355
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
2119
ref
cons
2282
remove
cons
nil
cons
cons
2356
def
67
ref
subst
2356
remove
137
ref
subst
197
ref
442
ref
2100
ref
assume
appThm
2357
def
1522
ref
appThm
383
ref
trans
appThm
2357
remove
747
ref
appThm
5
ref
1533
remove
35
ref
appTerm
2358
def
assume
sym
39
ref
assume
2359
def
sym
deductAntisym
appThm
239
remove
assume
eqMp
nil
49
ref
4
ref
2358
ref
appTerm
nil
cons
cons
51
ref
13
ref
2358
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
93
ref
2358
remove
nil
cons
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
trans
appThm
681
remove
677
remove
subst
trans
sym
86
ref
eqMp
eqMp
nil
2120
ref
2355
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
ref
2100
remove
appTerm
2360
def
betaConv
1220
ref
nil
1221
ref
51
ref
2360
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
1222
ref
176
ref
2119
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
2120
remove
95
ref
2109
remove
cons
696
ref
2281
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
2107
remove
2355
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
2277
ref
cons
95
ref
2274
ref
cons
nil
cons
2361
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
2305
ref
cons
2279
remove
cons
nil
cons
cons
2362
def
67
ref
subst
2362
remove
137
ref
subst
155
ref
1609
remove
2275
ref
assume
2363
def
appThm
747
ref
appThm
158
remove
156
ref
13
ref
34
remove
8
ref
appTerm
159
ref
appTerm
appTerm
404
remove
8
ref
appTerm
appTerm
absTerm
2364
def
159
ref
appTerm
2365
def
betaConv
nil
31
ref
2364
ref
appTerm
2366
def
axiom
nil
49
ref
2366
remove
nil
cons
cons
51
ref
2365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2364
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
2133
remove
trans
trans
appThm
197
ref
442
ref
2363
remove
appThm
2367
def
1522
ref
appThm
appThm
2367
remove
747
remove
appThm
5
ref
150
remove
35
ref
appTerm
2368
def
assume
sym
2189
ref
sym
deductAntisym
appThm
241
remove
assume
eqMp
nil
49
ref
4
ref
2368
ref
appTerm
nil
cons
cons
51
ref
13
ref
2368
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
93
ref
2368
remove
nil
cons
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
trans
appThm
199
ref
1205
remove
subst
trans
appThm
199
remove
1143
remove
subst
trans
sym
86
ref
eqMp
eqMp
nil
2306
ref
2361
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
ref
2275
ref
appTerm
2369
def
betaConv
1220
ref
nil
1221
ref
51
ref
2369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
ref
1222
ref
176
ref
2305
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
2306
remove
95
ref
2277
remove
cons
696
ref
2274
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2240
remove
cons
95
ref
2179
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2193
remove
95
ref
2237
ref
cons
nil
cons
2370
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
49
ref
229
ref
cons
2238
remove
cons
nil
cons
cons
2371
def
67
ref
subst
2371
remove
137
ref
subst
97
ref
1349
ref
2359
ref
appThm
396
remove
trans
appThm
246
ref
5
ref
442
ref
2359
ref
appThm
1522
ref
appThm
383
remove
trans
appThm
385
ref
trans
appThm
154
ref
7
ref
155
ref
1352
ref
refl
2372
def
2224
ref
refl
2373
def
2359
ref
appThm
appThm
appThm
5
ref
1398
ref
refl
2374
def
2359
remove
appThm
appThm
appThm
absThm
appThm
appThm
nil
80
ref
31
ref
7
ref
33
ref
1352
ref
2224
ref
26
ref
appTerm
appTerm
appTerm
4
ref
1398
ref
26
ref
appTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
395
ref
subst
trans
appThm
686
ref
trans
sym
86
ref
eqMp
eqMp
nil
2082
ref
2370
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
1217
remove
39
remove
appTerm
2375
def
betaConv
1220
remove
nil
1221
remove
51
ref
2375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
174
remove
1222
remove
176
remove
229
remove
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
2082
remove
95
ref
2064
remove
cons
696
ref
2237
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
2186
remove
95
ref
2233
ref
cons
nil
cons
2376
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
nil
2187
remove
2234
remove
cons
nil
cons
cons
2377
def
67
ref
subst
2377
remove
137
ref
subst
97
ref
1349
remove
2189
ref
appThm
373
ref
nil
49
ref
375
remove
nil
cons
2378
def
cons
2379
def
51
ref
13
ref
374
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
93
ref
374
ref
nil
cons
2380
def
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
trans
appThm
246
ref
5
ref
442
remove
2189
ref
appThm
2381
def
749
remove
appThm
450
remove
trans
appThm
385
remove
trans
appThm
246
remove
5
ref
2381
remove
1522
remove
appThm
appThm
appThm
154
remove
7
ref
155
ref
2372
remove
2373
remove
2189
ref
appThm
appThm
appThm
5
ref
2374
remove
2189
remove
appThm
appThm
appThm
absThm
appThm
appThm
appThm
nil
80
ref
153
remove
31
ref
7
ref
33
ref
1352
ref
2224
remove
8
ref
appTerm
appTerm
appTerm
4
ref
1398
ref
8
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
395
remove
subst
trans
appThm
686
remove
trans
sym
86
ref
eqMp
eqMp
nil
2132
ref
2376
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
2191
remove
nil
2132
remove
2192
remove
696
remove
2233
remove
cons
nil
cons
cons
cons
nil
cons
cons
702
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
nil
31
ref
2232
remove
appTerm
thm
nil
118
ref
32
ref
207
ref
7
ref
18
ref
2260
ref
appTerm
2382
def
17
remove
appTerm
absTerm
2383
def
appTerm
2384
def
absTerm
2385
def
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
32
ref
nil
80
ref
2384
ref
nil
cons
2386
def
cons
nil
cons
nil
cons
cons
87
ref
subst
1702
remove
430
ref
"Number.Natural.factorial"
const
24
remove
constTerm
2387
def
35
ref
appTerm
2388
def
appTerm
26
ref
appTerm
2389
def
appTerm
2390
def
betaConv
2221
remove
nil
2287
remove
51
ref
2390
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
1703
remove
120
ref
2389
ref
nil
cons
2391
def
cons
nil
cons
2392
def
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
33
ref
4
ref
21
ref
2389
ref
appTerm
26
ref
appTerm
appTerm
2393
def
appTerm
207
ref
7
ref
1352
ref
1398
ref
2389
ref
appTerm
2394
def
appTerm
2395
def
absTerm
2396
def
appTerm
2397
def
appTerm
2398
def
nil
cons
cons
51
ref
2386
ref
cons
nil
cons
2399
def
cons
nil
cons
cons
116
ref
subst
proveHyp
5
remove
nil
1300
ref
262
ref
2388
ref
nil
cons
2400
def
cons
nil
cons
cons
nil
cons
cons
32
ref
13
ref
598
remove
35
ref
appTerm
appTerm
2275
remove
appTerm
absTerm
2401
def
35
ref
appTerm
2402
def
betaConv
262
ref
31
ref
2401
ref
appTerm
2403
def
absTerm
2404
def
264
ref
appTerm
2405
def
betaConv
nil
31
ref
2404
ref
appTerm
2406
def
axiom
nil
49
ref
2406
remove
nil
cons
cons
51
ref
2405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2404
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2403
remove
nil
cons
cons
51
ref
2402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2401
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
32
ref
4
ref
21
ref
2388
ref
appTerm
8
ref
appTerm
2407
def
appTerm
2408
def
absTerm
2409
def
35
ref
appTerm
2410
def
betaConv
nil
31
ref
2409
ref
appTerm
2411
def
axiom
nil
49
ref
2411
remove
nil
cons
cons
51
ref
2410
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2409
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2408
remove
nil
cons
cons
51
ref
13
ref
2407
ref
appTerm
284
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
93
ref
2407
remove
nil
cons
cons
nil
cons
nil
cons
cons
317
ref
subst
eqMp
trans
appThm
320
remove
trans
sym
86
ref
eqMp
nil
49
ref
2393
ref
nil
cons
cons
2412
def
51
ref
33
ref
2397
ref
appTerm
2384
ref
appTerm
2413
def
nil
cons
cons
nil
cons
2414
def
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
118
ref
7
ref
33
ref
2396
ref
16
ref
appTerm
2415
def
appTerm
2384
ref
appTerm
2416
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
7
remove
nil
80
ref
2416
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2415
ref
nil
cons
2417
def
cons
2399
ref
cons
nil
cons
cons
2418
def
67
ref
subst
2418
remove
137
ref
subst
2415
ref
betaConv
2415
remove
assume
eqMp
nil
49
ref
2395
remove
nil
cons
2419
def
cons
2399
remove
cons
nil
cons
cons
2420
def
116
ref
subst
proveHyp
2420
ref
67
ref
subst
2420
remove
137
ref
subst
nil
1364
remove
95
ref
2394
ref
nil
cons
2421
def
cons
nil
cons
cons
nil
cons
cons
2422
def
109
ref
subst
2422
remove
305
remove
subst
2383
ref
16
ref
appTerm
betaConv
sym
2382
remove
refl
1369
remove
appThm
2302
remove
427
ref
subst
trans
sym
nil
49
ref
2421
ref
cons
2263
remove
cons
nil
cons
cons
116
ref
subst
nil
182
remove
2261
remove
cons
180
remove
2421
remove
cons
nil
cons
cons
nil
cons
cons
1511
remove
subst
sym
nil
49
ref
4
ref
2260
ref
appTerm
nil
cons
2423
def
cons
2424
def
51
ref
4
ref
2394
remove
appTerm
2425
def
nil
cons
2426
def
cons
nil
cons
2427
def
cons
nil
cons
cons
2428
def
67
ref
subst
2428
remove
137
ref
subst
1715
remove
37
ref
2299
remove
appTerm
2300
remove
35
ref
appTerm
appTerm
absTerm
2429
def
16
ref
appTerm
2430
def
betaConv
262
ref
31
ref
32
ref
37
ref
536
remove
appTerm
539
remove
appTerm
absTerm
appTerm
absTerm
2431
def
35
ref
appTerm
2432
def
betaConv
nil
31
ref
2431
ref
appTerm
2433
def
axiom
nil
49
ref
2433
remove
nil
cons
cons
51
ref
2432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2431
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
2429
ref
appTerm
nil
cons
cons
51
ref
2430
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2429
remove
nil
cons
cons
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
37
remove
2260
ref
appTerm
549
remove
35
ref
appTerm
2434
def
appTerm
nil
cons
cons
2427
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
155
remove
197
remove
nil
2424
remove
51
ref
13
ref
2260
remove
appTerm
284
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
nil
2353
remove
nil
cons
nil
cons
cons
317
remove
subst
eqMp
appThm
2434
ref
refl
appThm
nil
80
ref
2434
ref
nil
cons
2435
def
cons
nil
cons
nil
cons
cons
2436
def
655
remove
subst
trans
appThm
2425
ref
refl
appThm
sym
nil
49
ref
2435
ref
cons
2427
ref
cons
nil
cons
cons
2437
def
67
ref
subst
2437
remove
137
ref
subst
1487
remove
2389
ref
appTerm
2438
def
betaConv
1548
remove
nil
49
ref
1490
remove
cons
51
ref
2438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
1491
remove
2392
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
1483
remove
13
ref
21
ref
1403
remove
2389
ref
appTerm
appTerm
26
ref
appTerm
2439
def
appTerm
2425
ref
appTerm
2440
def
appTerm
2441
def
nil
cons
cons
2427
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1492
ref
51
ref
33
ref
2440
ref
appTerm
2425
ref
appTerm
2442
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
nil
49
ref
2440
ref
nil
cons
2443
def
cons
2427
remove
cons
nil
cons
cons
2444
def
67
ref
subst
2444
remove
137
ref
subst
2440
remove
assume
1461
ref
33
ref
2137
ref
534
remove
1464
ref
appTerm
2445
def
35
ref
appTerm
appTerm
appTerm
1593
ref
2388
ref
appTerm
appTerm
absTerm
2446
def
16
ref
appTerm
2447
def
betaConv
156
ref
31
ref
1461
ref
33
ref
2137
remove
2445
remove
159
ref
appTerm
appTerm
appTerm
1593
remove
2387
remove
159
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2448
def
35
ref
appTerm
2449
def
betaConv
nil
31
ref
2448
ref
appTerm
2450
def
axiom
nil
49
ref
2450
remove
nil
cons
cons
51
ref
2449
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2448
remove
nil
cons
cons
256
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
31
ref
2446
ref
appTerm
nil
cons
cons
51
ref
2447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2446
remove
nil
cons
cons
123
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
33
ref
18
ref
4
remove
22
remove
8
ref
appTerm
2451
def
appTerm
2452
def
appTerm
2453
def
2434
ref
appTerm
2454
def
appTerm
1398
remove
2388
ref
appTerm
2455
def
appTerm
2456
def
nil
cons
cons
51
ref
207
ref
"s"
6
ref
var
2457
def
207
ref
"t"
6
ref
var
2458
def
21
ref
"Number.Natural.distance"
const
429
remove
constTerm
2459
def
1552
ref
2457
ref
varTerm
2460
def
appTerm
2461
def
16
ref
appTerm
appTerm
2462
def
1552
ref
2458
ref
varTerm
2463
def
appTerm
2464
def
2389
remove
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
appTerm
2465
def
nil
cons
2466
def
cons
nil
cons
2467
def
cons
nil
cons
cons
116
ref
subst
proveHyp
2453
remove
refl
2436
remove
87
ref
subst
2434
remove
assume
eqMp
appThm
nil
80
ref
2452
remove
nil
cons
cons
nil
cons
nil
cons
cons
427
remove
subst
trans
sym
nil
93
ref
2451
ref
nil
cons
2468
def
cons
2469
def
nil
cons
nil
cons
cons
1537
remove
subst
nil
49
ref
2468
remove
cons
291
ref
cons
nil
cons
cons
2470
def
67
ref
subst
2470
remove
137
ref
subst
373
remove
nil
2379
remove
291
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
80
ref
2378
remove
cons
nil
cons
nil
cons
cons
590
remove
subst
nil
80
ref
2380
remove
cons
nil
cons
nil
cons
cons
2471
def
204
remove
subst
2471
remove
87
ref
subst
1544
remove
"_29144"
6
ref
var
2472
def
15
remove
2472
remove
varTerm
appTerm
absTerm
8
remove
appTerm
betaConv
appThm
1545
remove
374
remove
refl
appThm
trans
1546
remove
2451
remove
assume
appThm
eqMp
1368
remove
eqMp
eqMp
trans
trans
sym
86
remove
eqMp
eqMp
eqMp
nil
2469
remove
729
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
49
ref
2454
ref
nil
cons
cons
2473
def
51
ref
33
ref
2455
ref
appTerm
2465
ref
appTerm
2474
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
137
ref
subst
proveHyp
nil
49
ref
2455
ref
nil
cons
2475
def
cons
2467
ref
cons
nil
cons
cons
2476
def
67
ref
subst
2476
remove
137
ref
subst
nil
1461
ref
2400
remove
cons
1371
ref
cons
nil
cons
cons
1461
ref
1524
remove
207
ref
1420
ref
21
ref
1552
ref
1421
remove
appTerm
2477
def
159
ref
appTerm
appTerm
1464
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2478
def
1464
ref
appTerm
2479
def
betaConv
156
ref
31
ref
2478
ref
appTerm
2480
def
absTerm
2481
def
159
ref
appTerm
2482
def
betaConv
nil
31
ref
2481
ref
appTerm
2483
def
axiom
nil
49
ref
2483
remove
nil
cons
cons
51
ref
2482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2481
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2480
remove
nil
cons
cons
51
ref
2479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2478
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
2455
remove
assume
eqMp
nil
49
ref
207
ref
1420
remove
21
ref
2477
remove
16
ref
appTerm
appTerm
2388
ref
appTerm
absTerm
2484
def
appTerm
2485
def
nil
cons
cons
2467
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
118
ref
"k"
6
ref
var
2486
def
33
ref
2484
ref
2486
ref
varTerm
2487
def
appTerm
2488
def
appTerm
2465
ref
appTerm
2489
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
2486
remove
nil
80
ref
2489
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2488
ref
nil
cons
2490
def
cons
2467
ref
cons
nil
cons
cons
2491
def
67
ref
subst
2491
remove
137
ref
subst
2488
ref
betaConv
2488
remove
assume
eqMp
nil
49
ref
21
ref
1552
ref
2487
ref
appTerm
16
remove
appTerm
2492
def
appTerm
2388
ref
appTerm
2493
def
nil
cons
2494
def
cons
2467
remove
cons
nil
cons
cons
2495
def
116
ref
subst
proveHyp
2495
ref
67
ref
subst
2495
remove
137
ref
subst
13
remove
"_29148"
6
remove
var
2496
def
207
ref
2457
ref
207
ref
2458
ref
21
ref
2462
ref
2464
ref
430
ref
2496
remove
varTerm
appTerm
26
ref
appTerm
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2497
def
2388
remove
appTerm
2498
def
appTerm
refl
2497
ref
2492
ref
appTerm
betaConv
appThm
97
remove
2498
remove
betaConv
appThm
207
ref
2457
ref
207
ref
2458
ref
21
ref
2462
remove
2464
ref
430
remove
2492
ref
appTerm
26
ref
appTerm
2499
def
appTerm
2500
def
appTerm
appTerm
26
ref
appTerm
absTerm
appTerm
absTerm
2501
def
appTerm
refl
appThm
trans
2497
remove
refl
2493
remove
assume
sym
appThm
eqMp
sym
2501
ref
2487
ref
appTerm
betaConv
sym
2458
ref
21
ref
2459
ref
2492
ref
appTerm
2502
def
2500
remove
appTerm
appTerm
26
ref
appTerm
absTerm
2503
def
26
ref
appTerm
betaConv
sym
2502
remove
refl
nil
262
ref
2499
remove
nil
cons
cons
nil
cons
nil
cons
cons
262
ref
21
ref
1552
remove
26
ref
appTerm
264
ref
appTerm
appTerm
264
ref
appTerm
absTerm
2504
def
264
ref
appTerm
2505
def
betaConv
nil
31
ref
2504
ref
appTerm
2506
def
axiom
nil
49
ref
2506
remove
nil
cons
cons
51
ref
2505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2504
remove
nil
cons
cons
276
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
appThm
nil
1300
remove
262
ref
2492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
32
remove
21
ref
2459
ref
264
ref
appTerm
468
remove
appTerm
appTerm
35
ref
appTerm
absTerm
2507
def
35
remove
appTerm
2508
def
betaConv
262
remove
31
ref
2507
ref
appTerm
2509
def
absTerm
2510
def
264
remove
appTerm
2511
def
betaConv
nil
31
ref
2510
ref
appTerm
2512
def
axiom
nil
49
ref
2512
remove
nil
cons
cons
51
ref
2511
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2510
remove
nil
cons
cons
276
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2509
remove
nil
cons
cons
51
ref
2508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2507
remove
nil
cons
cons
256
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
subst
trans
eqMp
117
ref
118
ref
2503
remove
nil
cons
cons
378
remove
cons
nil
cons
cons
352
ref
subst
proveHyp
eqMp
117
ref
118
ref
2501
remove
nil
cons
cons
120
ref
2487
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
352
ref
subst
proveHyp
eqMp
eqMp
nil
93
ref
2494
remove
cons
95
ref
2466
ref
cons
nil
cons
2513
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2490
remove
cons
2513
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2484
ref
1156
ref
appTerm
appTerm
2465
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
2485
remove
appTerm
2465
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2484
remove
nil
cons
cons
2513
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
2475
ref
cons
2513
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
18
ref
2454
remove
appTerm
2474
remove
appTerm
nil
cons
cons
51
ref
33
ref
2456
remove
appTerm
2465
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
355
ref
2466
ref
cons
51
ref
2475
remove
cons
2473
remove
nil
cons
cons
cons
nil
cons
cons
2178
ref
subst
eqMp
eqMp
nil
49
ref
2466
remove
cons
51
ref
2439
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
1461
ref
2391
remove
cons
1371
remove
cons
nil
cons
cons
1461
ref
33
ref
207
ref
2457
ref
207
remove
2458
ref
21
remove
2459
remove
2461
remove
159
ref
appTerm
appTerm
2464
remove
1464
ref
appTerm
appTerm
appTerm
26
remove
appTerm
2514
def
absTerm
2515
def
appTerm
2516
def
absTerm
2517
def
appTerm
2518
def
appTerm
2519
def
1468
ref
appTerm
2520
def
absTerm
2521
def
1464
ref
appTerm
2522
def
betaConv
156
ref
31
ref
2521
ref
appTerm
2523
def
absTerm
2524
def
159
ref
appTerm
2525
def
betaConv
nil
31
ref
156
ref
31
ref
1461
ref
31
ref
2457
ref
31
ref
2458
ref
33
ref
2514
ref
appTerm
1468
ref
appTerm
absTerm
2526
def
appTerm
2527
def
absTerm
2528
def
appTerm
2529
def
absTerm
2530
def
appTerm
2531
def
absTerm
2532
def
appTerm
2533
def
axiom
nil
49
ref
2533
ref
nil
cons
2534
def
cons
2535
def
51
ref
31
ref
2524
ref
appTerm
nil
cons
2536
def
cons
nil
cons
cons
nil
cons
cons
2537
def
116
ref
subst
proveHyp
2537
ref
67
ref
subst
2537
remove
137
ref
subst
nil
118
ref
2524
remove
nil
cons
cons
2538
def
nil
cons
nil
cons
cons
458
ref
subst
156
remove
nil
80
ref
2523
remove
nil
cons
2539
def
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
118
ref
2521
remove
nil
cons
cons
2540
def
nil
cons
nil
cons
cons
458
ref
subst
1461
remove
nil
80
ref
2520
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2518
remove
nil
cons
2541
def
cons
2542
def
51
ref
1468
ref
nil
cons
2543
def
cons
nil
cons
2544
def
cons
nil
cons
cons
2545
def
67
ref
subst
2545
remove
137
ref
subst
nil
2535
ref
2544
ref
cons
nil
cons
cons
2546
def
116
ref
subst
nil
2542
remove
51
ref
33
ref
2533
remove
appTerm
1468
remove
appTerm
2547
def
nil
cons
2548
def
cons
nil
cons
2549
def
cons
nil
cons
cons
116
ref
subst
nil
118
ref
2457
ref
33
ref
2517
ref
2460
ref
appTerm
2550
def
appTerm
2547
ref
appTerm
2551
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
ref
subst
2457
remove
nil
80
ref
2551
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
ref
subst
nil
49
ref
2550
ref
nil
cons
2552
def
cons
2549
ref
cons
nil
cons
cons
2553
def
67
ref
subst
2553
remove
137
ref
subst
2550
ref
betaConv
2550
remove
assume
eqMp
nil
49
ref
2516
ref
nil
cons
cons
2549
ref
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
118
ref
2458
ref
33
ref
2515
ref
2463
ref
appTerm
2554
def
appTerm
2547
ref
appTerm
2555
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
458
remove
subst
2458
remove
nil
80
remove
2555
remove
nil
cons
cons
nil
cons
nil
cons
cons
87
remove
subst
nil
49
ref
2554
ref
nil
cons
2556
def
cons
2549
ref
cons
nil
cons
cons
2557
def
67
ref
subst
2557
remove
137
ref
subst
2554
ref
betaConv
2554
remove
assume
eqMp
nil
49
ref
2514
remove
nil
cons
2558
def
cons
2559
def
2549
remove
cons
nil
cons
cons
2560
def
116
ref
subst
proveHyp
2560
ref
67
ref
subst
2560
remove
137
ref
subst
2546
ref
67
remove
subst
2546
remove
137
remove
subst
nil
2559
remove
2544
remove
cons
nil
cons
cons
116
ref
subst
2526
ref
2463
ref
appTerm
2561
def
betaConv
2528
ref
2460
ref
appTerm
2562
def
betaConv
2530
ref
1464
remove
appTerm
2563
def
betaConv
2532
ref
159
remove
appTerm
2564
def
betaConv
nil
2535
remove
51
ref
2564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
117
ref
118
ref
2532
remove
nil
cons
cons
165
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2531
remove
nil
cons
cons
51
ref
2563
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2530
remove
nil
cons
cons
1475
ref
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2529
remove
nil
cons
cons
51
ref
2562
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2528
remove
nil
cons
cons
120
ref
2460
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2527
remove
nil
cons
cons
51
ref
2561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2526
remove
nil
cons
cons
120
ref
2463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2534
remove
cons
2565
def
95
ref
2543
remove
cons
nil
cons
2566
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
93
ref
2558
remove
cons
95
ref
2548
remove
cons
nil
cons
2567
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
ref
2556
remove
cons
2567
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2515
ref
1156
ref
appTerm
appTerm
2547
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
33
ref
2516
remove
appTerm
2547
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2515
remove
nil
cons
cons
2567
ref
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
2552
remove
cons
2567
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
ref
33
ref
2517
ref
1156
ref
appTerm
appTerm
2547
ref
appTerm
absTerm
appTerm
nil
cons
cons
51
ref
2519
remove
2547
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
118
ref
2517
remove
nil
cons
cons
2567
remove
cons
nil
cons
cons
1271
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2541
remove
cons
2566
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2565
remove
95
ref
2536
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
2536
remove
cons
51
ref
2525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
2538
remove
165
remove
cons
nil
cons
cons
148
ref
subst
eqMp
eqMp
nil
49
ref
2539
remove
cons
51
ref
2522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
117
ref
2540
remove
1475
remove
cons
nil
cons
cons
148
remove
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
93
ref
2443
ref
cons
95
ref
2426
ref
cons
nil
cons
2568
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
nil
49
ref
1352
remove
2442
remove
appTerm
nil
cons
cons
51
ref
33
ref
2441
remove
appTerm
2425
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
ref
subst
proveHyp
nil
355
ref
2426
remove
cons
51
ref
2443
remove
cons
1492
remove
nil
cons
cons
cons
nil
cons
cons
2178
ref
subst
eqMp
eqMp
eqMp
nil
93
ref
2435
remove
cons
2568
ref
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
93
ref
2423
remove
cons
2568
remove
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
117
ref
118
ref
2383
remove
nil
cons
cons
123
remove
cons
nil
cons
cons
352
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
93
ref
2419
remove
cons
95
remove
2386
ref
cons
nil
cons
2569
def
cons
nil
cons
cons
109
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
93
remove
2417
remove
cons
2569
ref
cons
nil
cons
cons
109
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
49
ref
31
ref
120
remove
33
ref
2396
ref
1156
remove
appTerm
appTerm
2384
ref
appTerm
absTerm
appTerm
nil
cons
cons
2414
remove
cons
nil
cons
cons
116
ref
subst
proveHyp
117
remove
118
remove
2396
remove
nil
cons
cons
2569
remove
cons
nil
cons
cons
1271
remove
subst
eqMp
eqMp
nil
49
remove
18
remove
2393
remove
appTerm
2413
remove
appTerm
nil
cons
cons
51
ref
33
remove
2398
remove
appTerm
2384
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
116
remove
subst
proveHyp
nil
355
remove
2386
remove
cons
51
remove
2397
remove
nil
cons
cons
2412
remove
nil
cons
cons
cons
nil
cons
cons
2178
remove
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
31
remove
2385
remove
appTerm
thm