6
version
nil
"P"
"->"
typeOp
0
def
"Number.GF(p).gfp"
typeOp
nil
opType
1
def
"bool"
typeOp
nil
opType
2
def
nil
cons
3
def
cons
opType
4
def
var
5
def
"x"
1
ref
var
6
def
"Data.Bool.!"
const
7
def
0
ref
4
ref
3
ref
cons
opType
8
def
constTerm
9
def
"y"
1
ref
var
10
def
"Data.Bool.==>"
const
0
ref
2
ref
0
ref
2
ref
3
ref
cons
opType
11
def
nil
cons
12
def
cons
opType
13
def
constTerm
14
def
"Data.Bool.~"
const
11
ref
constTerm
15
def
"="
const
16
def
0
ref
1
ref
4
ref
nil
cons
cons
opType
17
def
constTerm
18
def
10
ref
varTerm
19
def
appTerm
20
def
"Number.GF(p).fromNatural"
const
0
ref
"Number.Natural.natural"
typeOp
nil
opType
21
def
1
ref
nil
cons
22
def
cons
opType
constTerm
23
def
"Number.Natural.zero"
const
21
ref
constTerm
24
def
appTerm
25
def
appTerm
26
def
appTerm
27
def
appTerm
28
def
18
ref
"Number.GF(p)./"
const
0
ref
1
ref
0
ref
1
ref
22
ref
cons
opType
29
def
nil
cons
cons
opType
30
def
constTerm
31
def
6
ref
varTerm
32
def
appTerm
19
ref
appTerm
33
def
appTerm
34
def
"Number.GF(p).divGcd"
const
0
ref
21
ref
0
ref
21
ref
30
ref
nil
cons
35
def
cons
opType
nil
cons
cons
opType
constTerm
36
def
"Number.GF(p).toNatural"
const
0
ref
1
ref
21
ref
nil
cons
37
def
cons
opType
constTerm
38
def
19
ref
appTerm
39
def
appTerm
40
def
"Number.GF(p).oddprime"
const
21
ref
constTerm
41
def
appTerm
42
def
32
ref
appTerm
43
def
25
ref
appTerm
44
def
appTerm
45
def
appTerm
46
def
absTerm
47
def
appTerm
48
def
absTerm
49
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
22
ref
cons
nil
cons
50
def
nil
nil
cons
51
def
cons
52
def
16
ref
13
ref
constTerm
53
def
7
ref
0
ref
0
ref
"A"
varType
54
def
3
ref
cons
opType
55
def
3
ref
cons
opType
56
def
constTerm
57
def
"P"
55
ref
var
58
def
varTerm
59
def
appTerm
60
def
appTerm
refl
"p"
55
ref
var
61
def
16
ref
0
ref
55
ref
56
ref
nil
cons
cons
opType
constTerm
61
ref
varTerm
62
def
appTerm
"x"
54
ref
var
63
def
"Data.Bool.T"
const
2
ref
constTerm
64
def
absTerm
65
def
appTerm
absTerm
66
def
59
ref
appTerm
betaConv
67
def
appThm
nil
16
ref
0
ref
56
ref
0
ref
56
ref
3
ref
cons
opType
68
def
nil
cons
cons
opType
constTerm
69
def
57
ref
appTerm
66
remove
appTerm
axiom
59
ref
refl
70
def
appThm
71
def
eqMp
sym
72
def
subst
73
def
subst
6
ref
nil
"t"
2
ref
var
74
def
48
remove
nil
cons
cons
nil
cons
nil
cons
cons
53
ref
74
ref
varTerm
75
def
appTerm
76
def
64
ref
appTerm
77
def
assume
sym
nil
64
ref
axiom
78
def
eqMp
75
ref
assume
78
ref
deductAntisym
deductAntisym
79
def
subst
nil
5
ref
47
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
10
ref
nil
74
ref
46
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
"p"
2
ref
var
80
def
27
remove
nil
cons
81
def
cons
82
def
"q"
2
ref
var
83
def
45
ref
nil
cons
84
def
cons
nil
cons
85
def
cons
nil
cons
cons
86
def
53
ref
14
ref
80
ref
varTerm
87
def
appTerm
88
def
83
ref
varTerm
89
def
appTerm
90
def
appTerm
91
def
refl
80
ref
83
ref
53
ref
"Data.Bool./\\"
const
13
ref
constTerm
92
def
87
ref
appTerm
93
def
89
ref
appTerm
94
def
appTerm
95
def
87
ref
appTerm
absTerm
96
def
absTerm
97
def
87
ref
appTerm
betaConv
89
ref
refl
98
def
appThm
96
remove
89
ref
appTerm
betaConv
trans
appThm
nil
16
ref
0
ref
13
ref
0
ref
13
ref
3
ref
cons
opType
99
def
nil
cons
cons
opType
constTerm
100
def
14
ref
appTerm
97
remove
appTerm
axiom
87
ref
refl
101
def
appThm
98
ref
appThm
eqMp
102
def
sym
103
def
subst
86
remove
53
ref
refl
104
def
"f"
13
ref
var
105
def
105
ref
varTerm
106
def
87
ref
appTerm
89
ref
appTerm
absTerm
107
def
80
ref
83
ref
89
ref
absTerm
108
def
absTerm
109
def
appTerm
betaConv
109
ref
87
ref
appTerm
betaConv
98
ref
appThm
108
ref
89
ref
appTerm
betaConv
trans
trans
appThm
105
ref
106
ref
64
ref
appTerm
64
ref
appTerm
absTerm
110
def
109
ref
appTerm
betaConv
109
ref
64
ref
appTerm
betaConv
64
ref
refl
111
def
appThm
108
ref
64
ref
appTerm
betaConv
trans
trans
112
def
appThm
95
remove
refl
83
ref
16
ref
0
ref
99
ref
0
ref
99
remove
3
ref
cons
opType
nil
cons
cons
opType
constTerm
113
def
107
remove
appTerm
110
ref
appTerm
absTerm
114
def
89
ref
appTerm
betaConv
appThm
16
ref
0
ref
11
ref
0
ref
11
ref
3
ref
cons
opType
115
def
nil
cons
cons
opType
constTerm
116
def
93
ref
appTerm
refl
80
ref
114
remove
absTerm
117
def
87
ref
appTerm
betaConv
appThm
nil
100
ref
92
ref
appTerm
117
ref
appTerm
axiom
118
def
101
remove
appThm
eqMp
98
ref
appThm
eqMp
119
def
94
ref
assume
eqMp
109
ref
refl
120
def
appThm
eqMp
sym
78
ref
eqMp
121
def
119
remove
sym
105
ref
106
ref
refl
nil
74
ref
87
ref
nil
cons
122
def
cons
nil
cons
nil
cons
cons
123
def
79
ref
subst
87
ref
assume
124
def
eqMp
appThm
nil
74
ref
89
ref
nil
cons
125
def
cons
nil
cons
nil
cons
cons
126
def
79
ref
subst
89
ref
assume
127
def
eqMp
appThm
absThm
eqMp
128
def
deductAntisym
129
def
subst
"y'"
1
ref
var
130
def
28
ref
18
ref
31
ref
130
remove
varTerm
131
def
appTerm
19
ref
appTerm
appTerm
"Number.GF(p).*"
const
30
ref
constTerm
132
def
131
remove
appTerm
"Number.GF(p).inv"
const
29
ref
constTerm
133
def
19
ref
appTerm
134
def
appTerm
appTerm
appTerm
absTerm
135
def
32
ref
appTerm
136
def
betaConv
6
ref
9
ref
10
ref
14
ref
15
ref
18
ref
32
ref
appTerm
25
ref
appTerm
137
def
appTerm
138
def
appTerm
139
def
18
ref
31
ref
19
ref
appTerm
140
def
32
ref
appTerm
141
def
appTerm
132
ref
19
ref
appTerm
142
def
133
remove
32
ref
appTerm
143
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
144
def
19
ref
appTerm
145
def
betaConv
nil
9
ref
144
ref
appTerm
146
def
axiom
nil
80
ref
146
remove
nil
cons
cons
83
ref
145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
103
ref
128
remove
nil
"P"
2
ref
var
147
def
122
ref
cons
148
def
"Q"
2
ref
var
149
def
125
ref
cons
nil
cons
150
def
cons
nil
cons
cons
104
ref
105
ref
106
remove
147
ref
varTerm
151
def
appTerm
152
def
149
ref
varTerm
153
def
appTerm
absTerm
154
def
80
ref
83
ref
87
ref
absTerm
absTerm
155
def
appTerm
betaConv
155
ref
151
ref
appTerm
betaConv
153
ref
refl
156
def
appThm
83
ref
151
ref
absTerm
153
ref
appTerm
betaConv
trans
trans
appThm
110
ref
155
ref
appTerm
betaConv
155
ref
64
ref
appTerm
betaConv
111
remove
appThm
83
ref
64
ref
absTerm
64
ref
appTerm
betaConv
trans
trans
appThm
53
ref
92
ref
151
ref
appTerm
157
def
153
ref
appTerm
158
def
appTerm
refl
83
ref
113
remove
105
remove
152
remove
89
ref
appTerm
absTerm
appTerm
110
remove
appTerm
absTerm
153
ref
appTerm
betaConv
appThm
116
ref
157
remove
appTerm
refl
117
remove
151
ref
appTerm
betaConv
appThm
118
remove
151
ref
refl
159
def
appThm
eqMp
156
ref
appThm
eqMp
158
remove
assume
eqMp
160
def
155
remove
refl
appThm
eqMp
sym
78
ref
eqMp
161
def
subst
162
def
deductAntisym
eqMp
102
remove
90
ref
assume
163
def
eqMp
sym
124
ref
eqMp
121
remove
proveHyp
deductAntisym
164
def
subst
proveHyp
50
ref
5
ref
144
remove
nil
cons
cons
6
ref
19
ref
nil
cons
165
def
cons
nil
cons
166
def
cons
nil
cons
cons
nil
80
ref
60
ref
nil
cons
167
def
cons
83
ref
59
ref
63
ref
varTerm
168
def
appTerm
169
def
nil
cons
170
def
cons
nil
cons
cons
nil
cons
cons
171
def
103
ref
subst
171
remove
129
ref
subst
53
ref
169
ref
appTerm
refl
65
remove
168
ref
appTerm
betaConv
appThm
67
remove
71
remove
60
remove
assume
eqMp
eqMp
168
ref
refl
172
def
appThm
eqMp
sym
78
ref
eqMp
eqMp
nil
147
ref
167
remove
cons
149
ref
170
ref
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
173
def
subst
eqMp
eqMp
nil
80
ref
9
ref
135
ref
appTerm
nil
cons
cons
83
ref
136
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
135
remove
nil
cons
cons
6
ref
32
ref
nil
cons
cons
nil
cons
174
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
28
remove
34
remove
132
ref
32
ref
appTerm
175
def
134
ref
appTerm
176
def
appTerm
177
def
appTerm
nil
cons
cons
85
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
14
ref
refl
178
def
178
ref
15
ref
refl
179
def
nil
82
ref
83
ref
53
ref
26
ref
appTerm
"Data.Bool.F"
const
2
ref
constTerm
180
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
26
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
80
ref
15
ref
151
ref
appTerm
181
def
nil
cons
182
def
cons
83
ref
53
ref
151
ref
appTerm
180
ref
appTerm
nil
cons
183
def
cons
nil
cons
cons
nil
cons
cons
184
def
103
ref
subst
184
remove
129
ref
subst
nil
80
ref
151
ref
nil
cons
185
def
cons
83
ref
180
ref
nil
cons
186
def
cons
nil
cons
187
def
cons
nil
cons
cons
103
ref
129
ref
53
ref
87
ref
appTerm
188
def
89
ref
appTerm
189
def
assume
190
def
124
remove
eqMp
eqMp
162
remove
deductAntisym
eqMp
191
def
nil
80
ref
90
ref
nil
cons
192
def
cons
193
def
83
ref
14
ref
89
ref
appTerm
194
def
87
ref
appTerm
nil
cons
195
def
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
194
ref
refl
190
remove
appThm
sym
nil
80
ref
125
ref
cons
196
def
83
ref
125
ref
cons
nil
cons
cons
nil
cons
cons
197
def
103
ref
subst
197
remove
129
ref
subst
127
remove
eqMp
nil
147
ref
125
ref
cons
150
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
196
ref
83
ref
122
ref
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
192
ref
cons
198
def
149
ref
195
remove
cons
nil
cons
cons
nil
cons
cons
199
def
104
ref
154
remove
109
ref
appTerm
betaConv
109
remove
151
ref
appTerm
betaConv
156
ref
appThm
108
remove
153
ref
appTerm
betaConv
trans
trans
appThm
112
remove
appThm
160
remove
120
remove
appThm
eqMp
sym
78
ref
eqMp
200
def
subst
eqMp
164
ref
199
remove
161
ref
subst
eqMp
deductAntisym
deductAntisym
subst
53
ref
181
ref
appTerm
refl
80
ref
88
ref
180
ref
appTerm
absTerm
201
def
151
ref
appTerm
betaConv
appThm
nil
116
ref
15
ref
appTerm
201
remove
appTerm
axiom
159
ref
appThm
eqMp
181
remove
assume
eqMp
nil
80
ref
14
ref
151
ref
appTerm
202
def
180
ref
appTerm
nil
cons
cons
83
ref
14
ref
180
ref
appTerm
203
def
151
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
80
ref
186
ref
cons
83
ref
185
ref
cons
nil
cons
cons
nil
cons
cons
204
def
103
ref
subst
204
remove
129
ref
subst
80
ref
87
ref
absTerm
205
def
151
ref
appTerm
206
def
betaConv
nil
53
ref
180
ref
appTerm
207
def
7
ref
115
ref
constTerm
208
def
205
ref
appTerm
209
def
appTerm
axiom
180
ref
assume
eqMp
nil
80
ref
209
remove
nil
cons
cons
83
ref
206
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
3
ref
cons
nil
cons
210
def
"P"
11
ref
var
211
def
205
remove
nil
cons
cons
"x"
2
ref
var
212
def
185
ref
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
213
def
eqMp
nil
147
ref
186
ref
cons
149
ref
185
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
147
ref
182
remove
cons
149
ref
183
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
214
def
subst
eqMp
215
def
appThm
nil
53
ref
15
ref
180
ref
appTerm
216
def
appTerm
64
ref
appTerm
axiom
217
def
trans
218
def
appThm
177
ref
refl
appThm
nil
74
ref
177
ref
nil
cons
219
def
cons
nil
cons
nil
cons
cons
74
ref
53
ref
14
ref
64
ref
appTerm
220
def
75
ref
appTerm
appTerm
75
ref
appTerm
absTerm
221
def
75
ref
appTerm
222
def
betaConv
nil
208
ref
221
ref
appTerm
223
def
axiom
nil
80
ref
223
remove
nil
cons
cons
83
ref
222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
221
remove
nil
cons
cons
212
ref
75
ref
nil
cons
224
def
cons
nil
cons
225
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
226
def
subst
trans
appThm
45
remove
refl
appThm
sym
nil
80
ref
219
ref
cons
85
remove
cons
nil
cons
cons
227
def
103
ref
subst
227
remove
129
ref
subst
53
ref
"_30739"
1
ref
var
228
def
18
ref
228
remove
varTerm
appTerm
44
ref
appTerm
absTerm
229
def
33
remove
appTerm
230
def
appTerm
refl
229
ref
176
ref
appTerm
betaConv
appThm
104
ref
230
remove
betaConv
appThm
18
ref
176
ref
appTerm
44
ref
appTerm
231
def
refl
appThm
trans
229
remove
refl
177
remove
assume
appThm
eqMp
sym
"x'"
1
ref
var
232
def
92
ref
15
ref
18
ref
232
remove
varTerm
233
def
appTerm
25
ref
appTerm
appTerm
appTerm
18
ref
132
ref
233
remove
appTerm
234
def
176
ref
appTerm
appTerm
234
remove
44
ref
appTerm
appTerm
appTerm
absTerm
235
def
19
ref
appTerm
betaConv
sym
92
ref
refl
236
def
218
remove
appThm
18
ref
142
ref
176
ref
appTerm
appTerm
237
def
142
ref
44
ref
appTerm
238
def
appTerm
239
def
refl
appThm
nil
74
ref
239
ref
nil
cons
240
def
cons
nil
cons
nil
cons
cons
74
ref
53
ref
92
ref
64
ref
appTerm
241
def
75
ref
appTerm
appTerm
75
ref
appTerm
absTerm
242
def
75
ref
appTerm
243
def
betaConv
nil
208
ref
242
ref
appTerm
244
def
axiom
nil
80
ref
244
remove
nil
cons
cons
83
ref
243
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
242
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
245
def
subst
trans
sym
"x2"
1
ref
var
246
def
14
ref
92
ref
16
ref
0
ref
21
ref
0
ref
21
ref
3
ref
cons
opType
247
def
nil
cons
248
def
cons
opType
249
def
constTerm
250
def
"Number.Natural.gcd"
const
0
ref
21
ref
0
ref
21
ref
37
ref
cons
opType
251
def
nil
cons
cons
opType
252
def
constTerm
253
def
39
ref
appTerm
254
def
41
ref
appTerm
appTerm
"Number.Natural.bit1"
const
251
ref
constTerm
255
def
24
ref
appTerm
256
def
appTerm
257
def
appTerm
258
def
18
ref
132
ref
23
ref
39
ref
appTerm
259
def
appTerm
260
def
246
ref
varTerm
261
def
appTerm
appTerm
262
def
132
ref
23
ref
41
ref
appTerm
263
def
appTerm
264
def
32
ref
appTerm
265
def
appTerm
appTerm
appTerm
92
ref
18
ref
260
ref
43
remove
261
ref
appTerm
266
def
appTerm
appTerm
32
ref
appTerm
appTerm
18
ref
264
ref
266
remove
appTerm
appTerm
261
ref
appTerm
appTerm
appTerm
absTerm
267
def
25
ref
appTerm
268
def
betaConv
"x1"
1
ref
var
269
def
9
ref
246
ref
14
ref
258
ref
262
ref
264
ref
269
ref
varTerm
270
def
appTerm
appTerm
appTerm
appTerm
92
ref
18
ref
260
ref
42
remove
270
ref
appTerm
261
ref
appTerm
271
def
appTerm
appTerm
270
ref
appTerm
appTerm
18
ref
264
ref
271
remove
appTerm
appTerm
261
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
272
def
32
ref
appTerm
273
def
betaConv
"v"
21
ref
var
274
def
9
ref
269
ref
9
ref
246
ref
14
ref
92
ref
250
ref
254
remove
274
ref
varTerm
275
def
appTerm
appTerm
256
ref
appTerm
appTerm
262
remove
132
ref
23
ref
275
ref
appTerm
276
def
appTerm
277
def
270
ref
appTerm
278
def
appTerm
appTerm
appTerm
92
ref
18
ref
260
ref
40
remove
275
ref
appTerm
270
ref
appTerm
261
ref
appTerm
279
def
appTerm
appTerm
270
ref
appTerm
appTerm
18
ref
277
ref
279
remove
appTerm
appTerm
261
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
280
def
41
ref
appTerm
281
def
betaConv
"u"
21
ref
var
282
def
7
ref
0
ref
247
ref
3
ref
cons
opType
283
def
constTerm
284
def
274
ref
9
ref
269
ref
9
ref
246
ref
14
ref
92
ref
250
ref
253
ref
282
ref
varTerm
285
def
appTerm
286
def
275
ref
appTerm
appTerm
256
ref
appTerm
287
def
appTerm
288
def
18
ref
132
ref
23
ref
285
ref
appTerm
289
def
appTerm
290
def
261
ref
appTerm
291
def
appTerm
292
def
278
ref
appTerm
293
def
appTerm
appTerm
92
ref
18
ref
290
ref
36
ref
285
ref
appTerm
294
def
275
ref
appTerm
295
def
270
ref
appTerm
296
def
261
ref
appTerm
297
def
appTerm
appTerm
270
ref
appTerm
appTerm
18
ref
277
ref
297
ref
appTerm
appTerm
261
ref
appTerm
appTerm
298
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
299
def
39
ref
appTerm
300
def
betaConv
284
ref
refl
301
def
282
ref
301
ref
274
ref
9
ref
refl
302
def
269
ref
302
ref
246
ref
nil
"r"
2
ref
var
303
def
298
ref
nil
cons
cons
83
ref
293
ref
nil
cons
304
def
cons
80
ref
287
ref
nil
cons
305
def
cons
306
def
nil
cons
307
def
cons
cons
nil
cons
cons
303
ref
53
ref
14
ref
94
remove
appTerm
303
ref
varTerm
308
def
appTerm
309
def
appTerm
88
ref
194
remove
308
ref
appTerm
310
def
appTerm
311
def
appTerm
312
def
absTerm
313
def
308
ref
appTerm
314
def
betaConv
83
ref
208
ref
313
ref
appTerm
315
def
absTerm
316
def
89
ref
appTerm
317
def
betaConv
80
ref
208
ref
316
ref
appTerm
318
def
absTerm
319
def
87
ref
appTerm
320
def
betaConv
208
ref
refl
321
def
80
ref
321
ref
83
ref
321
ref
303
ref
312
remove
assume
sym
53
ref
311
remove
appTerm
309
remove
appTerm
322
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
208
ref
80
ref
208
ref
83
ref
208
ref
303
ref
322
remove
absTerm
323
def
appTerm
324
def
absTerm
325
def
appTerm
326
def
absTerm
327
def
appTerm
328
def
axiom
329
def
eqMp
nil
80
ref
208
ref
319
ref
appTerm
nil
cons
cons
83
ref
320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
319
remove
nil
cons
cons
212
ref
122
ref
cons
nil
cons
330
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
318
remove
nil
cons
cons
83
ref
317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
316
remove
nil
cons
cons
212
ref
125
ref
cons
nil
cons
331
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
315
remove
nil
cons
cons
83
ref
314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
313
remove
nil
cons
cons
212
ref
308
ref
nil
cons
332
def
cons
nil
cons
333
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
236
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
178
ref
18
ref
refl
334
def
nil
6
ref
261
ref
nil
cons
335
def
cons
336
def
nil
cons
337
def
nil
cons
cons
338
def
6
ref
18
ref
132
ref
23
ref
256
ref
appTerm
339
def
appTerm
340
def
32
ref
appTerm
appTerm
32
ref
appTerm
absTerm
341
def
32
ref
appTerm
342
def
betaConv
nil
9
ref
341
ref
appTerm
343
def
axiom
nil
80
ref
343
remove
nil
cons
cons
83
ref
342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
341
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
344
def
subst
appThm
345
def
278
ref
refl
appThm
appThm
236
ref
334
ref
nil
6
ref
270
ref
nil
cons
346
def
cons
347
def
nil
cons
348
def
nil
cons
cons
349
def
344
remove
subst
350
def
appThm
270
ref
refl
351
def
appThm
349
ref
52
ref
nil
74
ref
16
ref
0
ref
54
ref
55
ref
nil
cons
352
def
cons
opType
constTerm
353
def
168
ref
appTerm
168
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
172
ref
eqMp
354
def
subst
355
def
subst
356
def
trans
appThm
18
ref
278
ref
appTerm
357
def
261
ref
appTerm
358
def
refl
appThm
nil
74
ref
358
ref
nil
cons
359
def
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
302
ref
269
ref
302
ref
246
ref
178
ref
292
ref
refl
350
remove
appThm
appThm
92
ref
292
ref
270
ref
appTerm
360
def
appTerm
361
def
refl
345
remove
261
ref
refl
362
def
appThm
338
ref
355
ref
subst
363
def
trans
appThm
nil
74
ref
360
remove
nil
cons
cons
nil
cons
nil
cons
cons
364
def
74
ref
53
ref
92
ref
75
ref
appTerm
64
ref
appTerm
appTerm
75
ref
appTerm
absTerm
365
def
75
ref
appTerm
366
def
betaConv
nil
208
ref
365
ref
appTerm
367
def
axiom
nil
80
ref
367
remove
nil
cons
cons
83
ref
366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
365
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
368
def
subst
trans
appThm
364
remove
nil
74
ref
14
ref
75
ref
appTerm
369
def
75
ref
appTerm
370
def
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
74
ref
370
remove
absTerm
371
def
75
ref
appTerm
372
def
betaConv
nil
208
ref
371
ref
appTerm
373
def
axiom
nil
80
ref
373
remove
nil
cons
cons
83
ref
372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
371
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
subst
trans
absThm
appThm
nil
74
ref
64
ref
nil
cons
cons
nil
cons
nil
cons
cons
374
def
52
ref
74
ref
53
ref
57
ref
63
ref
75
ref
absTerm
appTerm
appTerm
75
ref
appTerm
absTerm
375
def
75
ref
appTerm
376
def
betaConv
nil
208
ref
375
ref
appTerm
377
def
axiom
nil
80
ref
377
remove
nil
cons
cons
83
ref
376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
375
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
378
def
subst
subst
379
def
trans
absThm
appThm
379
remove
trans
absThm
appThm
374
ref
"A"
37
ref
cons
380
def
nil
cons
381
def
51
ref
cons
382
def
378
ref
subst
subst
383
def
trans
appThm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
"g"
1
ref
var
384
def
14
ref
92
ref
250
ref
253
ref
"Number.Natural.*"
const
252
ref
constTerm
385
def
"Number.Natural.bit0"
const
251
ref
constTerm
386
def
256
ref
appTerm
387
def
appTerm
388
def
285
ref
appTerm
389
def
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
390
def
appTerm
391
def
14
ref
293
ref
appTerm
392
def
92
ref
18
ref
290
ref
384
ref
varTerm
393
def
appTerm
394
def
appTerm
270
ref
appTerm
395
def
appTerm
396
def
18
ref
277
ref
393
ref
appTerm
397
def
appTerm
261
ref
appTerm
398
def
appTerm
399
def
appTerm
400
def
appTerm
401
def
appTerm
14
ref
18
ref
132
ref
23
ref
389
ref
appTerm
appTerm
402
def
261
ref
appTerm
appTerm
403
def
277
ref
132
ref
23
ref
387
ref
appTerm
404
def
appTerm
405
def
270
ref
appTerm
406
def
appTerm
appTerm
appTerm
407
def
92
ref
18
ref
402
ref
393
ref
appTerm
appTerm
406
ref
appTerm
appTerm
398
ref
appTerm
appTerm
408
def
appTerm
409
def
absTerm
410
def
appTerm
411
def
absTerm
412
def
appTerm
413
def
absTerm
414
def
appTerm
415
def
absTerm
416
def
appTerm
417
def
absTerm
418
def
appTerm
419
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
14
ref
92
ref
250
ref
286
ref
388
ref
275
ref
appTerm
420
def
appTerm
appTerm
256
ref
appTerm
421
def
appTerm
422
def
400
ref
appTerm
423
def
appTerm
14
ref
18
ref
290
ref
405
ref
261
ref
appTerm
424
def
appTerm
appTerm
132
ref
23
ref
420
ref
appTerm
appTerm
425
def
270
ref
appTerm
426
def
appTerm
appTerm
427
def
396
ref
18
ref
425
ref
393
ref
appTerm
appTerm
424
ref
appTerm
appTerm
appTerm
428
def
appTerm
429
def
absTerm
430
def
appTerm
431
def
absTerm
432
def
appTerm
433
def
absTerm
434
def
appTerm
435
def
absTerm
436
def
appTerm
437
def
absTerm
438
def
appTerm
439
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
14
ref
288
ref
400
ref
appTerm
440
def
appTerm
441
def
14
ref
18
ref
132
ref
23
ref
"Number.Natural.+"
const
252
ref
constTerm
442
def
275
ref
appTerm
443
def
285
ref
appTerm
444
def
appTerm
appTerm
445
def
261
ref
appTerm
appTerm
446
def
277
ref
"Number.GF(p).+"
const
30
ref
constTerm
447
def
261
ref
appTerm
448
def
270
ref
appTerm
449
def
appTerm
450
def
appTerm
appTerm
451
def
92
ref
18
ref
445
ref
393
ref
appTerm
appTerm
449
ref
appTerm
appTerm
398
ref
appTerm
appTerm
452
def
appTerm
453
def
absTerm
454
def
appTerm
455
def
absTerm
456
def
appTerm
457
def
absTerm
458
def
appTerm
459
def
absTerm
460
def
appTerm
461
def
absTerm
462
def
appTerm
463
def
appTerm
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
441
remove
14
ref
18
ref
290
ref
447
ref
270
ref
appTerm
464
def
261
ref
appTerm
465
def
appTerm
appTerm
132
ref
23
ref
442
ref
285
ref
appTerm
466
def
275
ref
appTerm
467
def
appTerm
appTerm
468
def
270
ref
appTerm
469
def
appTerm
appTerm
470
def
396
ref
18
ref
468
ref
393
ref
appTerm
appTerm
465
ref
appTerm
appTerm
appTerm
471
def
appTerm
472
def
absTerm
473
def
appTerm
474
def
absTerm
475
def
appTerm
476
def
absTerm
477
def
appTerm
478
def
absTerm
479
def
appTerm
480
def
absTerm
481
def
appTerm
482
def
appTerm
483
def
appTerm
484
def
appTerm
485
def
refl
appThm
nil
74
ref
485
ref
nil
cons
486
def
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
appThm
sym
nil
"P"
247
ref
var
487
def
274
ref
9
ref
269
ref
9
ref
246
ref
14
ref
18
ref
261
ref
appTerm
278
ref
appTerm
488
def
appTerm
358
ref
appTerm
489
def
absTerm
490
def
appTerm
491
def
absTerm
492
def
appTerm
493
def
absTerm
494
def
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
72
ref
subst
495
def
subst
274
ref
nil
74
ref
493
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
492
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
491
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
490
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
489
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
488
ref
nil
cons
496
def
cons
83
ref
359
ref
cons
nil
cons
cons
nil
cons
cons
497
def
103
ref
subst
497
remove
129
ref
subst
357
remove
refl
488
remove
assume
appThm
nil
6
ref
278
ref
nil
cons
498
def
cons
nil
cons
nil
cons
cons
355
ref
subst
trans
sym
78
ref
eqMp
eqMp
nil
147
ref
496
remove
cons
149
ref
359
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
494
remove
appTerm
nil
cons
cons
83
ref
486
remove
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
418
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
417
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
416
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
415
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
414
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
413
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
412
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
411
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
410
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
384
ref
nil
74
ref
409
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
401
remove
nil
cons
499
def
cons
83
ref
408
remove
nil
cons
500
def
cons
nil
cons
cons
nil
cons
cons
501
def
103
ref
subst
501
remove
129
ref
subst
nil
147
ref
390
ref
nil
cons
cons
502
def
149
ref
400
ref
nil
cons
503
def
cons
nil
cons
504
def
cons
nil
cons
cons
200
ref
subst
178
ref
334
ref
132
ref
refl
505
def
nil
"y1"
21
ref
var
506
def
285
ref
nil
cons
507
def
cons
508
def
"x1"
21
ref
var
509
def
387
ref
nil
cons
510
def
cons
nil
cons
511
def
cons
nil
cons
cons
506
ref
18
ref
23
ref
385
ref
509
ref
varTerm
512
def
appTerm
506
ref
varTerm
513
def
appTerm
appTerm
appTerm
132
ref
23
ref
512
ref
appTerm
514
def
appTerm
23
ref
513
ref
appTerm
515
def
appTerm
appTerm
absTerm
516
def
513
ref
appTerm
517
def
betaConv
509
ref
284
ref
516
ref
appTerm
518
def
absTerm
519
def
512
ref
appTerm
520
def
betaConv
nil
284
ref
519
ref
appTerm
521
def
axiom
nil
80
ref
521
remove
nil
cons
cons
83
ref
520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
519
remove
nil
cons
cons
"x"
21
ref
var
522
def
512
ref
nil
cons
cons
nil
cons
523
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
518
remove
nil
cons
cons
83
ref
517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
516
remove
nil
cons
cons
522
ref
513
ref
nil
cons
cons
nil
cons
524
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
525
def
subst
appThm
526
def
362
ref
appThm
appThm
nil
"z"
1
ref
var
527
def
346
ref
cons
528
def
10
ref
404
ref
nil
cons
529
def
cons
530
def
6
ref
276
ref
nil
cons
531
def
cons
nil
cons
532
def
cons
533
def
cons
nil
cons
cons
527
ref
18
ref
175
ref
142
ref
527
ref
varTerm
534
def
appTerm
appTerm
535
def
appTerm
132
ref
175
ref
19
ref
appTerm
536
def
appTerm
534
ref
appTerm
537
def
appTerm
538
def
absTerm
539
def
534
ref
appTerm
540
def
betaConv
10
ref
9
ref
539
ref
appTerm
541
def
absTerm
542
def
19
ref
appTerm
543
def
betaConv
6
ref
9
ref
542
ref
appTerm
544
def
absTerm
545
def
32
ref
appTerm
546
def
betaConv
302
ref
6
ref
302
ref
10
ref
302
ref
527
ref
538
remove
assume
sym
18
ref
537
remove
appTerm
535
remove
appTerm
547
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
9
ref
6
ref
9
ref
10
ref
9
ref
527
ref
547
remove
absTerm
548
def
appTerm
549
def
absTerm
550
def
appTerm
551
def
absTerm
552
def
appTerm
553
def
axiom
554
def
eqMp
nil
80
ref
9
ref
545
ref
appTerm
nil
cons
cons
83
ref
546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
545
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
544
remove
nil
cons
cons
83
ref
543
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
542
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
541
remove
nil
cons
cons
83
ref
540
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
539
remove
nil
cons
cons
6
ref
534
ref
nil
cons
cons
nil
cons
555
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
556
def
subst
appThm
appThm
236
ref
334
ref
526
remove
393
ref
refl
557
def
appThm
appThm
406
ref
refl
558
def
appThm
appThm
398
ref
refl
559
def
appThm
appThm
sym
178
ref
18
ref
132
ref
405
ref
289
ref
appTerm
appTerm
560
def
261
ref
appTerm
appTerm
refl
505
ref
nil
533
remove
nil
cons
cons
10
ref
18
ref
536
ref
appTerm
561
def
142
remove
32
ref
appTerm
562
def
appTerm
absTerm
563
def
19
ref
appTerm
564
def
betaConv
6
ref
9
ref
563
ref
appTerm
565
def
absTerm
566
def
32
ref
appTerm
567
def
betaConv
nil
9
ref
566
ref
appTerm
568
def
axiom
nil
80
ref
568
remove
nil
cons
cons
83
ref
567
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
566
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
565
remove
nil
cons
cons
83
ref
564
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
563
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
569
def
subst
appThm
351
ref
appThm
appThm
appThm
92
ref
18
ref
560
remove
393
ref
appTerm
appTerm
406
ref
appTerm
appTerm
398
ref
appTerm
refl
appThm
sym
178
ref
334
ref
nil
527
ref
335
ref
cons
570
def
10
ref
289
remove
nil
cons
571
def
cons
572
def
6
ref
529
remove
cons
nil
cons
573
def
cons
574
def
cons
nil
cons
cons
548
ref
534
ref
appTerm
575
def
betaConv
550
ref
19
ref
appTerm
576
def
betaConv
552
ref
32
ref
appTerm
577
def
betaConv
554
remove
nil
80
ref
553
remove
nil
cons
cons
83
ref
577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
552
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
551
remove
nil
cons
cons
83
ref
576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
550
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
549
remove
nil
cons
cons
83
ref
575
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
548
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
578
def
subst
appThm
nil
528
ref
10
ref
531
ref
cons
579
def
573
ref
cons
580
def
cons
nil
cons
cons
578
ref
subst
appThm
nil
527
ref
498
remove
cons
581
def
10
ref
291
remove
nil
cons
cons
582
def
573
ref
cons
cons
nil
cons
cons
527
ref
53
ref
561
ref
175
ref
534
ref
appTerm
583
def
appTerm
584
def
appTerm
"Data.Bool.\\/"
const
13
remove
constTerm
585
def
137
ref
appTerm
586
def
20
ref
534
ref
appTerm
587
def
appTerm
appTerm
absTerm
588
def
534
ref
appTerm
589
def
betaConv
10
ref
9
ref
588
ref
appTerm
590
def
absTerm
591
def
19
ref
appTerm
592
def
betaConv
6
ref
9
ref
591
ref
appTerm
593
def
absTerm
594
def
32
ref
appTerm
595
def
betaConv
nil
9
ref
594
ref
appTerm
596
def
axiom
nil
80
ref
596
remove
nil
cons
cons
83
ref
595
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
594
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
593
remove
nil
cons
cons
83
ref
592
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
591
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
590
remove
nil
cons
cons
83
ref
589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
588
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
597
def
subst
585
ref
refl
598
def
nil
15
ref
18
ref
404
ref
appTerm
25
ref
appTerm
599
def
appTerm
600
def
axiom
601
def
nil
80
ref
600
ref
nil
cons
cons
602
def
83
ref
53
ref
599
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
147
ref
599
remove
nil
cons
cons
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
603
def
293
ref
refl
appThm
nil
74
ref
304
ref
cons
nil
cons
nil
cons
cons
74
ref
53
ref
585
ref
180
ref
appTerm
604
def
75
ref
appTerm
appTerm
75
ref
appTerm
absTerm
605
def
75
ref
appTerm
606
def
betaConv
nil
208
ref
605
ref
appTerm
607
def
axiom
nil
80
ref
607
remove
nil
cons
cons
83
ref
606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
605
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
608
def
subst
trans
trans
trans
appThm
609
def
236
ref
334
ref
nil
527
ref
393
ref
nil
cons
610
def
cons
611
def
574
remove
cons
nil
cons
cons
578
ref
subst
appThm
558
ref
appThm
nil
528
ref
10
ref
394
ref
nil
cons
cons
573
ref
cons
cons
nil
cons
cons
597
ref
subst
603
ref
395
ref
refl
appThm
nil
74
ref
395
ref
nil
cons
612
def
cons
nil
cons
nil
cons
cons
608
ref
subst
trans
trans
trans
appThm
559
ref
appThm
appThm
sym
400
ref
assume
613
def
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
147
ref
499
remove
cons
149
ref
500
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
419
remove
nil
cons
cons
83
ref
484
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
438
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
437
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
436
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
435
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
434
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
433
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
432
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
431
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
430
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
384
ref
nil
74
ref
429
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
423
remove
nil
cons
614
def
cons
83
ref
428
remove
nil
cons
615
def
cons
nil
cons
cons
nil
cons
cons
616
def
103
ref
subst
616
remove
129
ref
subst
nil
147
ref
421
ref
nil
cons
cons
617
def
504
ref
cons
nil
cons
cons
200
ref
subst
178
ref
334
ref
nil
570
ref
530
remove
6
ref
571
ref
cons
nil
cons
618
def
cons
619
def
cons
nil
cons
cons
556
remove
subst
appThm
505
ref
nil
506
ref
275
ref
nil
cons
620
def
cons
621
def
511
remove
cons
nil
cons
cons
525
remove
subst
appThm
622
def
351
ref
appThm
appThm
appThm
396
ref
refl
623
def
334
ref
622
remove
557
ref
appThm
appThm
424
ref
refl
624
def
appThm
appThm
appThm
sym
178
ref
334
ref
505
ref
nil
619
remove
nil
cons
cons
569
ref
subst
appThm
362
ref
appThm
appThm
132
ref
405
ref
276
remove
appTerm
appTerm
625
def
270
ref
appTerm
refl
appThm
appThm
396
ref
18
ref
625
remove
393
ref
appTerm
appTerm
424
ref
appTerm
appTerm
refl
appThm
sym
609
remove
623
ref
334
ref
nil
611
remove
580
remove
cons
nil
cons
cons
578
ref
subst
appThm
624
ref
appThm
nil
570
ref
10
ref
397
ref
nil
cons
cons
573
ref
cons
cons
nil
cons
cons
597
remove
subst
603
remove
559
ref
appThm
nil
74
ref
398
ref
nil
cons
626
def
cons
nil
cons
nil
cons
cons
608
ref
subst
trans
trans
trans
appThm
appThm
sym
613
remove
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
147
ref
614
remove
cons
149
ref
615
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
439
remove
nil
cons
cons
83
ref
483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
462
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
461
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
460
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
459
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
458
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
457
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
456
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
455
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
454
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
384
ref
nil
74
ref
453
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
440
remove
nil
cons
627
def
cons
628
def
83
ref
452
remove
nil
cons
629
def
cons
nil
cons
cons
nil
cons
cons
630
def
103
ref
subst
630
remove
129
ref
subst
nil
147
ref
305
ref
cons
631
def
504
remove
cons
nil
cons
cons
200
ref
subst
632
def
178
ref
334
ref
505
ref
nil
508
remove
509
ref
620
ref
cons
nil
cons
cons
nil
cons
cons
506
remove
18
ref
23
ref
442
ref
512
ref
appTerm
513
ref
appTerm
appTerm
appTerm
447
ref
514
remove
appTerm
515
remove
appTerm
appTerm
absTerm
633
def
513
remove
appTerm
634
def
betaConv
509
ref
284
ref
633
ref
appTerm
635
def
absTerm
636
def
512
remove
appTerm
637
def
betaConv
nil
284
ref
636
ref
appTerm
638
def
axiom
nil
80
ref
638
remove
nil
cons
cons
83
ref
637
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
636
remove
nil
cons
cons
523
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
635
remove
nil
cons
cons
83
ref
634
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
633
remove
nil
cons
cons
524
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
639
def
subst
appThm
640
def
362
ref
appThm
nil
336
remove
527
ref
571
remove
cons
579
remove
nil
cons
cons
641
def
cons
nil
cons
cons
527
ref
18
ref
132
ref
447
ref
19
ref
appTerm
642
def
534
ref
appTerm
643
def
appTerm
32
ref
appTerm
appTerm
447
ref
562
remove
appTerm
132
ref
534
ref
appTerm
32
ref
appTerm
appTerm
appTerm
absTerm
644
def
534
ref
appTerm
645
def
betaConv
10
ref
9
ref
644
ref
appTerm
646
def
absTerm
647
def
19
ref
appTerm
648
def
betaConv
6
ref
9
ref
647
ref
appTerm
649
def
absTerm
650
def
32
ref
appTerm
651
def
betaConv
nil
9
ref
650
ref
appTerm
652
def
axiom
nil
80
ref
652
remove
nil
cons
cons
83
ref
651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
650
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
649
remove
nil
cons
cons
83
ref
648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
647
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
646
remove
nil
cons
cons
83
ref
645
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
644
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
653
def
subst
trans
appThm
nil
528
ref
10
ref
335
ref
cons
654
def
532
remove
cons
cons
nil
cons
cons
527
ref
18
ref
175
ref
643
ref
appTerm
appTerm
447
ref
536
remove
appTerm
583
remove
appTerm
appTerm
absTerm
655
def
534
ref
appTerm
656
def
betaConv
10
ref
9
ref
655
ref
appTerm
657
def
absTerm
658
def
19
ref
appTerm
659
def
betaConv
6
ref
9
ref
658
ref
appTerm
660
def
absTerm
661
def
32
ref
appTerm
662
def
betaConv
nil
9
ref
661
ref
appTerm
663
def
axiom
nil
80
ref
663
remove
nil
cons
cons
83
ref
662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
661
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
660
remove
nil
cons
cons
83
ref
659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
658
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
657
remove
nil
cons
cons
83
ref
656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
655
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
664
def
subst
appThm
nil
581
ref
582
ref
6
ref
277
ref
261
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
527
ref
53
ref
18
ref
447
ref
32
ref
appTerm
665
def
19
ref
appTerm
666
def
appTerm
667
def
665
ref
534
ref
appTerm
appTerm
appTerm
587
ref
appTerm
absTerm
668
def
534
ref
appTerm
669
def
betaConv
10
ref
9
ref
668
ref
appTerm
670
def
absTerm
671
def
19
ref
appTerm
672
def
betaConv
6
ref
9
ref
671
ref
appTerm
673
def
absTerm
674
def
32
ref
appTerm
675
def
betaConv
nil
9
ref
674
ref
appTerm
676
def
axiom
nil
80
ref
676
remove
nil
cons
cons
83
ref
675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
674
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
673
remove
nil
cons
cons
83
ref
672
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
671
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
670
remove
nil
cons
cons
83
ref
669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
668
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
677
def
subst
trans
appThm
236
ref
334
ref
640
remove
557
ref
appThm
nil
6
ref
610
remove
cons
678
def
641
remove
cons
nil
cons
cons
653
ref
subst
trans
appThm
449
ref
refl
679
def
appThm
appThm
559
remove
appThm
appThm
sym
nil
80
ref
304
ref
cons
680
def
83
ref
92
ref
18
ref
447
ref
397
ref
appTerm
394
ref
appTerm
appTerm
449
ref
appTerm
appTerm
398
ref
appTerm
681
def
nil
cons
682
def
cons
nil
cons
683
def
cons
nil
cons
cons
684
def
103
ref
subst
684
remove
129
ref
subst
nil
80
ref
503
remove
cons
685
def
683
ref
cons
nil
cons
cons
164
ref
subst
nil
680
ref
83
ref
14
ref
399
ref
appTerm
686
def
681
ref
appTerm
687
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
80
ref
399
remove
nil
cons
688
def
cons
689
def
683
remove
cons
nil
cons
cons
690
def
103
ref
subst
690
remove
129
ref
subst
nil
147
ref
612
remove
cons
149
ref
626
remove
cons
nil
cons
cons
nil
cons
cons
691
def
161
ref
subst
692
def
691
remove
200
ref
subst
693
def
236
ref
334
ref
447
ref
refl
694
def
398
remove
assume
695
def
appThm
395
remove
assume
696
def
appThm
appThm
679
ref
appThm
nil
6
ref
449
ref
nil
cons
cons
nil
cons
nil
cons
cons
355
ref
subst
trans
appThm
334
ref
695
ref
appThm
362
ref
appThm
363
remove
trans
appThm
374
ref
245
ref
subst
697
def
trans
sym
78
ref
eqMp
proveHyp
proveHyp
eqMp
nil
147
ref
688
ref
cons
698
def
149
ref
682
ref
cons
nil
cons
699
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
92
ref
293
remove
appTerm
700
def
687
remove
appTerm
nil
cons
cons
83
ref
14
ref
400
remove
appTerm
701
def
681
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
303
ref
682
remove
cons
83
ref
688
remove
cons
680
ref
nil
cons
cons
702
def
cons
nil
cons
cons
nil
80
ref
93
ref
310
ref
appTerm
nil
cons
703
def
cons
83
ref
14
ref
90
ref
appTerm
308
ref
appTerm
nil
cons
704
def
cons
nil
cons
cons
nil
cons
cons
705
def
103
ref
subst
705
remove
129
ref
subst
nil
193
remove
83
ref
332
ref
cons
nil
cons
706
def
cons
nil
cons
cons
707
def
103
ref
subst
707
remove
129
ref
subst
nil
148
remove
149
ref
310
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
708
def
161
ref
subst
164
ref
proveHyp
163
remove
eqMp
nil
196
remove
706
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
708
remove
200
ref
subst
eqMp
eqMp
nil
198
remove
149
ref
332
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
703
remove
cons
149
ref
704
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
709
def
subst
eqMp
eqMp
eqMp
nil
147
ref
304
remove
cons
710
def
699
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
nil
147
ref
627
remove
cons
711
def
149
ref
629
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
463
remove
nil
cons
cons
83
ref
482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
481
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
480
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
479
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
478
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
477
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
476
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
475
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
474
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
473
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
384
ref
nil
74
ref
472
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
628
remove
83
ref
471
remove
nil
cons
712
def
cons
nil
cons
cons
nil
cons
cons
713
def
103
ref
subst
713
remove
129
ref
subst
632
remove
178
ref
334
ref
nil
570
ref
10
ref
346
ref
cons
714
def
618
remove
cons
cons
nil
cons
cons
664
remove
subst
appThm
505
ref
nil
621
remove
509
remove
507
ref
cons
nil
cons
cons
nil
cons
cons
639
remove
subst
appThm
715
def
351
ref
appThm
nil
347
remove
527
ref
531
remove
cons
572
remove
nil
cons
cons
716
def
cons
nil
cons
cons
653
ref
subst
trans
appThm
nil
581
remove
582
remove
6
ref
290
ref
270
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
677
remove
subst
trans
appThm
623
remove
334
ref
715
remove
557
ref
appThm
nil
678
ref
716
remove
cons
nil
cons
cons
653
remove
subst
trans
appThm
465
ref
refl
717
def
appThm
appThm
appThm
sym
nil
680
ref
83
ref
396
remove
18
ref
447
ref
394
remove
appTerm
397
remove
appTerm
appTerm
465
ref
appTerm
appTerm
718
def
nil
cons
719
def
cons
nil
cons
720
def
cons
nil
cons
cons
721
def
103
ref
subst
721
remove
129
ref
subst
nil
685
remove
720
ref
cons
nil
cons
cons
164
ref
subst
nil
680
remove
83
ref
686
remove
718
ref
appTerm
722
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
nil
689
remove
720
remove
cons
nil
cons
cons
723
def
103
ref
subst
723
remove
129
ref
subst
692
remove
693
remove
236
ref
334
ref
696
ref
appThm
351
ref
appThm
356
remove
trans
appThm
334
ref
694
ref
696
remove
appThm
695
remove
appThm
appThm
717
ref
appThm
nil
6
ref
465
ref
nil
cons
cons
nil
cons
nil
cons
cons
355
ref
subst
trans
appThm
697
ref
trans
sym
78
ref
eqMp
proveHyp
proveHyp
eqMp
nil
698
remove
149
ref
719
ref
cons
nil
cons
724
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
700
remove
722
remove
appTerm
nil
cons
cons
83
ref
701
remove
718
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
303
ref
719
remove
cons
702
remove
cons
nil
cons
cons
709
ref
subst
eqMp
eqMp
eqMp
nil
710
remove
724
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
proveHyp
eqMp
nil
711
remove
149
ref
712
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
80
ref
92
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
14
ref
18
ref
340
ref
261
ref
appTerm
appTerm
725
def
278
ref
appTerm
appTerm
726
def
92
ref
18
ref
340
ref
270
ref
appTerm
727
def
appTerm
270
ref
appTerm
appTerm
358
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
92
ref
284
ref
282
ref
9
ref
269
ref
9
ref
246
ref
14
ref
292
ref
727
remove
appTerm
appTerm
728
def
361
remove
725
remove
261
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
485
remove
appTerm
appTerm
nil
cons
cons
83
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
14
ref
287
ref
appTerm
729
def
392
ref
298
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
236
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
282
ref
274
ref
269
ref
246
ref
"_30737"
1
ref
var
730
def
392
remove
92
ref
18
ref
290
remove
730
ref
varTerm
731
def
appTerm
appTerm
270
ref
appTerm
appTerm
732
def
18
ref
277
remove
731
ref
appTerm
appTerm
733
def
261
ref
appTerm
734
def
appTerm
appTerm
absTerm
735
def
absTerm
736
def
absTerm
737
def
absTerm
738
def
absTerm
739
def
256
ref
appTerm
betaConv
275
ref
refl
740
def
appThm
274
ref
269
ref
246
ref
730
ref
726
remove
92
ref
18
ref
340
remove
731
ref
appTerm
appTerm
741
def
270
ref
appTerm
appTerm
734
ref
appTerm
appTerm
absTerm
742
def
absTerm
743
def
absTerm
744
def
absTerm
275
ref
appTerm
betaConv
trans
351
ref
appThm
744
remove
270
ref
appTerm
betaConv
trans
362
ref
appThm
743
remove
261
ref
appTerm
betaConv
trans
351
ref
appThm
742
remove
270
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
302
ref
269
ref
302
ref
246
ref
739
ref
285
ref
appTerm
betaConv
745
def
256
ref
refl
746
def
appThm
738
ref
256
ref
appTerm
betaConv
trans
351
ref
appThm
269
ref
246
ref
730
ref
728
remove
732
ref
741
remove
261
ref
appTerm
appTerm
appTerm
absTerm
747
def
absTerm
748
def
absTerm
270
ref
appTerm
betaConv
trans
362
ref
appThm
748
remove
261
ref
appTerm
betaConv
trans
362
ref
appThm
747
remove
261
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
302
ref
384
ref
178
ref
391
ref
refl
749
def
745
ref
740
ref
appThm
738
ref
275
ref
appTerm
betaConv
trans
351
ref
appThm
737
remove
270
ref
appTerm
betaConv
trans
362
ref
appThm
736
remove
261
ref
appTerm
betaConv
trans
750
def
557
ref
appThm
735
ref
393
ref
appTerm
betaConv
trans
751
def
appThm
appThm
739
ref
389
ref
appTerm
betaConv
740
ref
appThm
274
ref
269
ref
246
ref
730
ref
14
ref
403
remove
278
ref
appTerm
appTerm
92
ref
18
ref
402
remove
731
ref
appTerm
appTerm
752
def
270
ref
appTerm
appTerm
734
ref
appTerm
appTerm
absTerm
absTerm
absTerm
753
def
absTerm
275
ref
appTerm
betaConv
trans
558
remove
appThm
753
remove
406
ref
appTerm
betaConv
trans
362
ref
appThm
246
ref
730
ref
407
remove
92
ref
752
remove
406
ref
appTerm
appTerm
734
ref
appTerm
appTerm
absTerm
754
def
absTerm
261
ref
appTerm
betaConv
trans
557
ref
appThm
754
remove
393
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
302
ref
384
ref
178
ref
422
ref
refl
755
def
751
ref
appThm
appThm
745
ref
420
ref
refl
756
def
appThm
738
ref
420
ref
appTerm
betaConv
trans
351
ref
appThm
269
ref
246
ref
730
ref
14
ref
292
ref
426
remove
appTerm
appTerm
732
ref
18
ref
425
remove
731
ref
appTerm
appTerm
757
def
261
ref
appTerm
appTerm
appTerm
absTerm
absTerm
758
def
absTerm
270
ref
appTerm
betaConv
trans
624
remove
appThm
758
remove
424
ref
appTerm
betaConv
trans
557
ref
appThm
730
ref
427
remove
732
ref
757
remove
424
ref
appTerm
appTerm
appTerm
absTerm
393
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
302
ref
384
ref
178
ref
288
ref
refl
759
def
751
remove
appThm
appThm
760
def
739
ref
444
ref
appTerm
betaConv
740
ref
appThm
"v'"
21
ref
var
761
def
269
ref
246
ref
730
ref
14
ref
446
ref
132
ref
23
ref
761
ref
varTerm
762
def
appTerm
appTerm
763
def
270
ref
appTerm
appTerm
appTerm
92
ref
18
ref
445
ref
731
ref
appTerm
appTerm
764
def
270
ref
appTerm
appTerm
765
def
18
ref
763
remove
731
ref
appTerm
appTerm
261
ref
appTerm
appTerm
appTerm
absTerm
absTerm
absTerm
absTerm
275
ref
appTerm
betaConv
trans
679
remove
appThm
269
ref
246
ref
730
ref
14
ref
446
remove
278
remove
appTerm
appTerm
765
remove
734
ref
appTerm
appTerm
absTerm
absTerm
absTerm
449
ref
appTerm
betaConv
trans
362
ref
appThm
"x2'"
1
ref
var
766
def
730
ref
14
ref
18
ref
445
remove
766
ref
varTerm
767
def
appTerm
appTerm
450
remove
appTerm
appTerm
92
ref
764
remove
449
ref
appTerm
appTerm
768
def
733
remove
767
ref
appTerm
appTerm
appTerm
absTerm
absTerm
261
ref
appTerm
betaConv
trans
557
ref
appThm
730
ref
451
remove
768
remove
734
remove
appTerm
appTerm
absTerm
393
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
302
ref
384
ref
760
remove
745
remove
467
ref
refl
769
def
appThm
738
remove
467
ref
appTerm
betaConv
trans
351
ref
appThm
269
ref
246
ref
730
ref
14
ref
292
remove
469
remove
appTerm
appTerm
732
ref
18
ref
468
remove
731
remove
appTerm
appTerm
770
def
261
ref
appTerm
appTerm
appTerm
absTerm
absTerm
771
def
absTerm
270
ref
appTerm
betaConv
trans
717
remove
appThm
771
remove
465
ref
appTerm
betaConv
trans
557
ref
appThm
730
remove
470
remove
732
remove
770
remove
465
ref
appTerm
appTerm
appTerm
absTerm
393
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
302
ref
246
ref
729
ref
refl
772
def
750
remove
297
ref
refl
appThm
735
remove
297
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
appThm
nil
"p"
0
ref
21
ref
0
ref
21
ref
0
ref
1
ref
17
remove
nil
cons
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
773
def
var
774
def
739
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
80
ref
92
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
774
ref
varTerm
775
def
256
ref
appTerm
275
ref
appTerm
270
ref
appTerm
261
ref
appTerm
776
def
270
ref
appTerm
777
def
absTerm
778
def
appTerm
779
def
absTerm
780
def
appTerm
781
def
absTerm
782
def
appTerm
783
def
appTerm
92
ref
284
ref
282
ref
9
ref
269
ref
9
ref
246
ref
775
ref
285
ref
appTerm
784
def
256
ref
appTerm
270
ref
appTerm
261
ref
appTerm
785
def
261
ref
appTerm
786
def
absTerm
787
def
appTerm
788
def
absTerm
789
def
appTerm
790
def
absTerm
791
def
appTerm
792
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
14
ref
391
ref
784
ref
275
ref
appTerm
793
def
270
ref
appTerm
794
def
261
ref
appTerm
795
def
393
ref
appTerm
796
def
appTerm
appTerm
775
ref
389
ref
appTerm
275
ref
appTerm
797
def
406
remove
appTerm
261
ref
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
798
def
appTerm
799
def
absTerm
800
def
appTerm
801
def
absTerm
802
def
appTerm
803
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
14
ref
422
ref
796
ref
appTerm
appTerm
784
ref
420
ref
appTerm
270
ref
appTerm
804
def
424
remove
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
805
def
appTerm
806
def
absTerm
807
def
appTerm
808
def
absTerm
809
def
appTerm
810
def
absTerm
811
def
appTerm
812
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
14
ref
288
ref
796
remove
appTerm
appTerm
813
def
775
ref
444
ref
appTerm
814
def
275
ref
appTerm
815
def
449
remove
appTerm
261
ref
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
816
def
appTerm
817
def
absTerm
818
def
appTerm
819
def
absTerm
820
def
appTerm
821
def
appTerm
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
9
ref
384
ref
813
remove
784
ref
467
ref
appTerm
270
ref
appTerm
822
def
465
remove
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
823
def
appTerm
824
def
absTerm
825
def
appTerm
826
def
absTerm
827
def
appTerm
828
def
absTerm
829
def
appTerm
830
def
appTerm
831
def
appTerm
832
def
appTerm
833
def
appTerm
834
def
appTerm
835
def
nil
cons
836
def
cons
83
ref
284
ref
282
ref
284
ref
274
ref
9
ref
269
ref
9
ref
246
ref
729
ref
795
remove
297
ref
appTerm
837
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
838
def
nil
cons
839
def
cons
nil
cons
cons
nil
cons
cons
840
def
103
ref
subst
840
remove
129
ref
subst
nil
147
ref
783
remove
nil
cons
841
def
cons
149
ref
834
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
842
def
161
ref
subst
842
remove
200
ref
subst
nil
147
ref
792
remove
nil
cons
843
def
cons
149
ref
833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
844
def
161
ref
subst
844
remove
200
ref
subst
nil
147
ref
803
remove
nil
cons
845
def
cons
149
ref
832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
846
def
161
ref
subst
846
remove
200
ref
subst
nil
147
ref
812
remove
nil
cons
847
def
cons
149
ref
831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
848
def
161
ref
subst
848
remove
200
ref
subst
nil
147
ref
821
remove
nil
cons
849
def
cons
149
ref
830
remove
nil
cons
850
def
cons
nil
cons
cons
nil
cons
cons
851
def
161
ref
subst
851
remove
200
ref
subst
301
ref
282
ref
301
ref
274
ref
302
ref
269
ref
104
ref
302
ref
246
ref
772
ref
246
ref
837
ref
absTerm
852
def
261
ref
appTerm
853
def
betaConv
854
def
appThm
absThm
appThm
appThm
772
ref
302
ref
246
ref
854
ref
absThm
appThm
appThm
appThm
nil
"q"
4
remove
var
855
def
852
ref
nil
cons
856
def
cons
307
ref
cons
nil
cons
cons
52
ref
"q"
55
ref
var
857
def
53
ref
57
ref
63
ref
88
ref
857
ref
varTerm
858
def
168
ref
appTerm
859
def
appTerm
absTerm
appTerm
appTerm
88
ref
57
ref
63
ref
859
ref
absTerm
860
def
appTerm
861
def
appTerm
appTerm
absTerm
862
def
858
ref
appTerm
863
def
betaConv
80
ref
7
ref
68
remove
constTerm
864
def
862
ref
appTerm
865
def
absTerm
866
def
87
ref
appTerm
867
def
betaConv
nil
208
ref
866
ref
appTerm
868
def
axiom
nil
80
ref
868
remove
nil
cons
cons
83
ref
867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
866
remove
nil
cons
cons
330
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
865
remove
nil
cons
cons
83
ref
863
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
352
remove
cons
nil
cons
869
def
"P"
56
ref
var
870
def
862
remove
nil
cons
cons
"x"
55
ref
var
871
def
858
ref
nil
cons
cons
nil
cons
872
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
873
def
subst
eqMp
absThm
appThm
absThm
appThm
absThm
appThm
sym
301
ref
282
ref
301
ref
274
ref
104
ref
302
ref
269
ref
772
ref
269
ref
9
ref
852
remove
appTerm
874
def
absTerm
875
def
270
ref
appTerm
876
def
betaConv
877
def
appThm
absThm
appThm
appThm
772
ref
302
ref
269
ref
877
ref
absThm
appThm
appThm
appThm
nil
855
remove
875
ref
nil
cons
878
def
cons
307
remove
cons
nil
cons
cons
873
remove
subst
eqMp
absThm
appThm
absThm
appThm
sym
nil
487
ref
274
ref
9
ref
269
ref
9
ref
246
ref
776
ref
36
ref
256
ref
appTerm
879
def
275
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
absTerm
880
def
appTerm
881
def
absTerm
882
def
appTerm
883
def
absTerm
884
def
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
883
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
882
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
881
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
880
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
776
remove
refl
nil
282
ref
256
ref
nil
cons
885
def
cons
nil
cons
nil
cons
cons
246
ref
18
ref
297
remove
appTerm
"Data.Bool.cond"
const
886
def
0
ref
2
ref
35
remove
cons
opType
constTerm
887
def
250
ref
285
ref
appTerm
888
def
256
ref
appTerm
889
def
appTerm
270
ref
appTerm
887
ref
250
ref
275
ref
appTerm
890
def
256
ref
appTerm
891
def
appTerm
261
ref
appTerm
892
def
887
ref
"Number.Natural.even"
const
247
ref
constTerm
893
def
285
ref
appTerm
894
def
appTerm
895
def
36
ref
"Number.Natural.div"
const
252
ref
constTerm
896
def
285
ref
appTerm
387
ref
appTerm
appTerm
897
def
275
ref
appTerm
31
ref
270
ref
appTerm
404
ref
appTerm
898
def
appTerm
261
ref
appTerm
appTerm
887
ref
893
ref
275
ref
appTerm
899
def
appTerm
900
def
294
ref
896
ref
275
ref
appTerm
387
ref
appTerm
901
def
appTerm
270
ref
appTerm
31
remove
261
ref
appTerm
404
ref
appTerm
902
def
appTerm
appTerm
887
ref
"Number.Natural.<="
const
249
ref
constTerm
903
def
275
ref
appTerm
904
def
285
ref
appTerm
905
def
appTerm
36
ref
"Number.Natural.-"
const
252
remove
constTerm
906
def
285
ref
appTerm
907
def
275
ref
appTerm
appTerm
275
ref
appTerm
"Number.GF(p).-"
const
30
remove
constTerm
908
def
270
ref
appTerm
261
ref
appTerm
909
def
appTerm
261
ref
appTerm
appTerm
294
ref
906
ref
275
ref
appTerm
910
def
285
ref
appTerm
appTerm
270
ref
appTerm
908
ref
261
ref
appTerm
270
ref
appTerm
911
def
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
912
def
261
ref
appTerm
913
def
betaConv
269
ref
9
ref
912
ref
appTerm
914
def
absTerm
915
def
270
ref
appTerm
916
def
betaConv
274
ref
9
ref
915
ref
appTerm
917
def
absTerm
918
def
275
ref
appTerm
919
def
betaConv
282
ref
284
ref
918
ref
appTerm
920
def
absTerm
921
def
285
ref
appTerm
922
def
betaConv
nil
284
ref
921
ref
appTerm
923
def
axiom
nil
80
ref
923
remove
nil
cons
cons
83
ref
922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
921
remove
nil
cons
cons
522
ref
507
ref
cons
nil
cons
924
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
920
remove
nil
cons
cons
83
ref
919
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
918
remove
nil
cons
cons
522
ref
620
ref
cons
nil
cons
925
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
917
remove
nil
cons
cons
83
ref
916
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
915
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
914
remove
nil
cons
cons
83
ref
913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
912
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
926
def
subst
nil
527
ref
892
ref
887
ref
893
ref
256
ref
appTerm
appTerm
927
def
36
ref
896
ref
256
ref
appTerm
387
ref
appTerm
928
def
appTerm
275
ref
appTerm
898
ref
appTerm
261
ref
appTerm
929
def
appTerm
900
ref
879
ref
901
ref
appTerm
270
ref
appTerm
902
ref
appTerm
appTerm
887
ref
904
ref
256
ref
appTerm
appTerm
36
ref
906
ref
256
ref
appTerm
930
def
275
ref
appTerm
appTerm
275
ref
appTerm
909
ref
appTerm
261
ref
appTerm
appTerm
879
remove
910
ref
256
ref
appTerm
appTerm
270
ref
appTerm
911
ref
appTerm
appTerm
appTerm
931
def
appTerm
932
def
appTerm
nil
cons
cons
714
ref
522
ref
885
ref
cons
nil
cons
933
def
cons
cons
nil
cons
cons
380
remove
"B"
22
remove
cons
nil
cons
cons
51
ref
cons
886
ref
0
ref
2
ref
0
ref
"B"
varType
934
def
0
ref
934
ref
934
ref
nil
cons
935
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
refl
354
ref
appThm
"y"
934
ref
var
936
def
varTerm
937
def
refl
appThm
"z"
934
ref
var
varTerm
938
def
refl
appThm
nil
"t2"
934
ref
var
938
remove
nil
cons
cons
"t1"
934
ref
var
937
ref
nil
cons
939
def
cons
nil
cons
cons
nil
cons
cons
"A"
935
ref
cons
nil
cons
940
def
51
ref
cons
941
def
"t2"
54
ref
var
942
def
353
ref
886
remove
0
ref
2
ref
0
ref
54
ref
0
ref
54
ref
54
ref
nil
cons
943
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
944
def
64
ref
appTerm
"t1"
54
ref
var
945
def
varTerm
946
def
appTerm
942
ref
varTerm
947
def
appTerm
appTerm
946
ref
appTerm
absTerm
948
def
947
ref
appTerm
949
def
betaConv
945
ref
57
ref
948
ref
appTerm
950
def
absTerm
951
def
946
ref
appTerm
952
def
betaConv
nil
57
ref
951
ref
appTerm
953
def
axiom
nil
80
ref
953
remove
nil
cons
cons
83
ref
952
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
943
remove
cons
954
def
nil
cons
955
def
58
ref
951
remove
nil
cons
cons
63
ref
946
ref
nil
cons
cons
nil
cons
956
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
950
remove
nil
cons
cons
83
ref
949
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
948
remove
nil
cons
cons
63
ref
947
ref
nil
cons
cons
nil
cons
957
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
958
def
subst
subst
trans
subst
959
def
subst
trans
appThm
nil
74
ref
777
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
778
ref
261
ref
appTerm
960
def
betaConv
780
ref
270
ref
appTerm
961
def
betaConv
782
ref
275
ref
appTerm
962
def
betaConv
nil
80
ref
841
remove
cons
83
ref
962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
782
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
781
remove
nil
cons
cons
83
ref
961
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
780
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
779
remove
nil
cons
cons
83
ref
960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
778
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
963
def
trans
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
884
ref
appTerm
964
def
nil
cons
cons
83
ref
92
ref
284
ref
282
ref
14
ref
15
ref
889
ref
appTerm
965
def
appTerm
966
def
9
ref
269
ref
9
ref
246
ref
785
ref
294
ref
256
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
967
def
absTerm
968
def
appTerm
969
def
absTerm
970
def
appTerm
971
def
appTerm
972
def
absTerm
973
def
appTerm
974
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
391
ref
92
ref
15
ref
891
ref
appTerm
975
def
appTerm
976
def
9
ref
875
remove
appTerm
977
def
appTerm
978
def
appTerm
979
def
appTerm
9
ref
269
ref
9
ref
246
ref
797
ref
270
ref
appTerm
261
ref
appTerm
980
def
36
ref
389
ref
appTerm
981
def
275
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
982
def
absTerm
983
def
appTerm
984
def
absTerm
985
def
appTerm
986
def
appTerm
987
def
absTerm
988
def
appTerm
989
def
absTerm
990
def
appTerm
991
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
422
ref
92
ref
965
ref
appTerm
992
def
92
ref
"Number.Natural.odd"
const
247
ref
constTerm
993
def
285
ref
appTerm
994
def
appTerm
995
def
977
ref
appTerm
996
def
appTerm
997
def
appTerm
998
def
appTerm
9
ref
269
ref
9
ref
246
ref
804
ref
261
ref
appTerm
999
def
294
ref
420
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
1000
def
absTerm
1001
def
appTerm
1002
def
absTerm
1003
def
appTerm
1004
def
appTerm
1005
def
absTerm
1006
def
appTerm
1007
def
absTerm
1008
def
appTerm
1009
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
288
ref
92
ref
894
ref
appTerm
1010
def
976
ref
92
ref
993
ref
275
ref
appTerm
1011
def
appTerm
1012
def
977
ref
appTerm
1013
def
appTerm
1014
def
appTerm
1015
def
appTerm
1016
def
appTerm
9
ref
269
ref
9
ref
246
ref
815
ref
270
ref
appTerm
261
ref
appTerm
1017
def
36
ref
444
ref
appTerm
1018
def
275
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
1019
def
absTerm
1020
def
appTerm
1021
def
absTerm
1022
def
appTerm
1023
def
appTerm
1024
def
absTerm
1025
def
appTerm
1026
def
absTerm
1027
def
appTerm
1028
def
appTerm
284
ref
282
ref
284
ref
274
ref
14
ref
288
ref
992
ref
995
ref
92
ref
899
ref
appTerm
1029
def
977
ref
appTerm
1030
def
appTerm
1031
def
appTerm
1032
def
appTerm
1033
def
appTerm
9
ref
269
ref
9
ref
246
ref
822
ref
261
ref
appTerm
1034
def
294
ref
467
ref
appTerm
270
ref
appTerm
261
ref
appTerm
appTerm
1035
def
absTerm
1036
def
appTerm
1037
def
absTerm
1038
def
appTerm
1039
def
appTerm
1040
def
absTerm
1041
def
appTerm
1042
def
absTerm
1043
def
appTerm
1044
def
appTerm
1045
def
appTerm
1046
def
appTerm
1047
def
appTerm
1048
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
973
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
972
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
965
remove
nil
cons
1049
def
cons
1050
def
83
ref
971
remove
nil
cons
1051
def
cons
nil
cons
cons
nil
cons
cons
1052
def
103
ref
subst
1052
remove
129
ref
subst
nil
5
ref
970
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
969
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
968
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
967
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
785
remove
refl
1053
def
nil
274
ref
885
ref
cons
nil
cons
nil
cons
cons
926
ref
subst
appThm
sym
1053
remove
887
ref
refl
1054
def
nil
1050
ref
83
ref
53
ref
889
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
889
ref
nil
cons
1055
def
cons
1056
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
1057
def
appThm
351
ref
appThm
1058
def
nil
527
ref
895
ref
897
ref
256
ref
appTerm
898
ref
appTerm
261
ref
appTerm
appTerm
1059
def
927
remove
294
ref
928
remove
appTerm
270
ref
appTerm
902
ref
appTerm
1060
def
appTerm
887
ref
903
ref
256
ref
appTerm
285
ref
appTerm
appTerm
36
ref
907
ref
256
ref
appTerm
appTerm
256
ref
appTerm
909
ref
appTerm
261
ref
appTerm
appTerm
294
ref
930
remove
285
ref
appTerm
appTerm
270
ref
appTerm
911
ref
appTerm
appTerm
1061
def
appTerm
appTerm
nil
cons
cons
654
ref
933
ref
cons
cons
nil
cons
cons
959
remove
subst
appThm
nil
"t2"
1
ref
var
1062
def
335
ref
cons
"t1"
1
ref
var
1063
def
346
remove
cons
nil
cons
1064
def
cons
nil
cons
cons
52
ref
942
remove
353
ref
944
remove
180
ref
appTerm
946
ref
appTerm
947
ref
appTerm
appTerm
947
ref
appTerm
absTerm
1065
def
947
remove
appTerm
1066
def
betaConv
945
remove
57
ref
1065
ref
appTerm
1067
def
absTerm
1068
def
946
remove
appTerm
1069
def
betaConv
nil
57
ref
1068
ref
appTerm
1070
def
axiom
nil
80
ref
1070
remove
nil
cons
cons
83
ref
1069
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
1068
remove
nil
cons
cons
956
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1067
remove
nil
cons
cons
83
ref
1066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
1065
remove
nil
cons
cons
957
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
1071
def
subst
trans
appThm
nil
74
ref
786
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
787
ref
261
ref
appTerm
1072
def
betaConv
789
ref
270
ref
appTerm
1073
def
betaConv
791
ref
285
ref
appTerm
1074
def
betaConv
nil
80
ref
843
remove
cons
83
ref
1074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
791
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
790
remove
nil
cons
cons
83
ref
1073
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
789
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
788
remove
nil
cons
cons
83
ref
1072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
787
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
1075
def
trans
sym
78
ref
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
147
ref
1049
ref
cons
1076
def
149
ref
1051
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
974
remove
nil
cons
cons
83
ref
1047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
990
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
989
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
988
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
987
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
979
remove
nil
cons
1077
def
cons
83
ref
986
ref
nil
cons
1078
def
cons
nil
cons
cons
nil
cons
cons
1079
def
103
ref
subst
1079
remove
129
ref
subst
nil
502
remove
149
ref
978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1080
def
161
ref
subst
1080
remove
200
ref
subst
nil
147
ref
975
remove
nil
cons
1081
def
cons
1082
def
149
ref
977
ref
nil
cons
1083
def
cons
nil
cons
1084
def
cons
nil
cons
cons
1085
def
161
ref
subst
1085
remove
200
ref
subst
nil
5
ref
985
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
984
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
983
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
982
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
980
ref
refl
1086
def
nil
282
ref
389
ref
nil
cons
cons
nil
cons
nil
cons
cons
926
ref
subst
appThm
sym
nil
80
ref
15
ref
250
ref
389
ref
appTerm
256
ref
appTerm
1087
def
appTerm
nil
cons
1088
def
cons
1089
def
83
ref
980
ref
887
ref
1087
ref
appTerm
270
ref
appTerm
892
remove
887
ref
893
ref
389
ref
appTerm
appTerm
36
ref
896
ref
389
ref
appTerm
387
ref
appTerm
1090
def
appTerm
275
ref
appTerm
898
ref
appTerm
261
ref
appTerm
1091
def
appTerm
900
ref
981
ref
901
ref
appTerm
270
ref
appTerm
902
ref
appTerm
appTerm
887
ref
904
ref
389
ref
appTerm
appTerm
36
ref
906
ref
389
ref
appTerm
275
ref
appTerm
appTerm
275
ref
appTerm
909
ref
appTerm
261
ref
appTerm
appTerm
981
remove
910
ref
389
ref
appTerm
appTerm
270
ref
appTerm
911
ref
appTerm
appTerm
appTerm
1092
def
appTerm
appTerm
1093
def
appTerm
appTerm
nil
cons
1094
def
cons
nil
cons
1095
def
cons
nil
cons
cons
1096
def
103
ref
subst
1096
remove
129
ref
subst
53
ref
"_30717"
2
ref
var
1097
def
980
ref
887
ref
1097
remove
varTerm
appTerm
270
ref
appTerm
1093
ref
appTerm
appTerm
absTerm
1098
def
1087
ref
appTerm
1099
def
appTerm
refl
1098
ref
180
ref
appTerm
betaConv
appThm
104
ref
1099
remove
betaConv
appThm
980
ref
887
ref
180
ref
appTerm
1100
def
270
ref
appTerm
1101
def
1093
ref
appTerm
appTerm
refl
appThm
trans
1098
remove
refl
nil
1089
remove
83
ref
53
ref
1087
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
1087
ref
nil
cons
1102
def
cons
1103
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
eqMp
sym
1086
remove
nil
1062
ref
1093
remove
nil
cons
cons
1064
ref
cons
nil
cons
cons
1071
ref
subst
1054
ref
nil
80
ref
1081
ref
cons
1104
def
83
ref
53
ref
891
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
891
ref
nil
cons
1105
def
cons
1106
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
1107
def
appThm
362
ref
appThm
1108
def
1054
ref
nil
"n"
21
ref
var
1109
def
507
ref
cons
1110
def
nil
cons
nil
cons
cons
1111
def
nil
74
ref
893
ref
388
ref
1109
ref
varTerm
1112
def
appTerm
appTerm
1113
def
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
1109
ref
1113
remove
absTerm
1114
def
1112
ref
appTerm
1115
def
betaConv
nil
284
ref
1114
ref
appTerm
1116
def
axiom
nil
80
ref
1116
remove
nil
cons
cons
83
ref
1115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1114
remove
nil
cons
cons
522
ref
1112
ref
nil
cons
1117
def
cons
nil
cons
1118
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
1119
def
subst
appThm
1091
ref
refl
appThm
1092
ref
refl
appThm
nil
1062
ref
1092
remove
nil
cons
cons
1063
ref
1091
remove
nil
cons
1120
def
cons
nil
cons
cons
nil
cons
cons
52
remove
958
remove
subst
1121
def
subst
trans
appThm
nil
1062
ref
1120
remove
cons
1063
ref
335
remove
cons
nil
cons
1122
def
cons
nil
cons
cons
1071
ref
subst
trans
trans
appThm
sym
179
ref
"Number.Natural.suc"
const
251
remove
constTerm
1123
def
refl
1124
def
nil
1109
ref
24
ref
nil
cons
1125
def
cons
nil
cons
nil
cons
cons
1126
def
nil
"m"
21
ref
var
1127
def
255
remove
1112
ref
appTerm
1128
def
nil
cons
1129
def
cons
nil
cons
nil
cons
cons
1127
ref
250
ref
442
ref
1127
ref
varTerm
1130
def
appTerm
1131
def
24
ref
appTerm
1132
def
appTerm
1130
ref
appTerm
1133
def
absTerm
1134
def
1130
ref
appTerm
1135
def
betaConv
nil
284
ref
1134
ref
appTerm
1136
def
axiom
1137
def
nil
80
ref
1136
remove
nil
cons
cons
83
ref
1135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1134
remove
nil
cons
cons
522
ref
1130
ref
nil
cons
1138
def
cons
nil
cons
1139
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
subst
appThm
1126
ref
1109
ref
250
ref
1123
ref
1128
ref
appTerm
appTerm
386
ref
1123
ref
1112
ref
appTerm
1140
def
appTerm
1141
def
appTerm
absTerm
1142
def
1112
ref
appTerm
1143
def
betaConv
236
ref
301
ref
1109
ref
nil
522
ref
1140
ref
nil
cons
1144
def
cons
nil
cons
nil
cons
cons
382
ref
354
ref
subst
1145
def
subst
absThm
appThm
383
ref
trans
appThm
236
ref
250
ref
1123
ref
24
ref
appTerm
1146
def
appTerm
1147
def
refl
1126
ref
1109
ref
250
ref
1128
ref
appTerm
1123
ref
386
ref
1112
ref
appTerm
1148
def
appTerm
1149
def
appTerm
absTerm
1150
def
1112
ref
appTerm
1151
def
betaConv
nil
284
ref
1150
ref
appTerm
1152
def
axiom
nil
80
ref
1152
remove
nil
cons
cons
83
ref
1151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1150
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1124
ref
1109
ref
250
ref
1148
remove
appTerm
442
ref
1112
ref
appTerm
1153
def
1112
ref
appTerm
1154
def
appTerm
1155
def
absTerm
1156
def
1112
ref
appTerm
1157
def
betaConv
1158
def
250
ref
refl
1159
def
nil
250
ref
386
ref
24
ref
appTerm
appTerm
1160
def
24
ref
appTerm
axiom
appThm
1126
ref
1109
ref
250
ref
442
ref
24
ref
appTerm
1161
def
1112
ref
appTerm
appTerm
1112
ref
appTerm
absTerm
1162
def
1112
ref
appTerm
1163
def
betaConv
nil
284
ref
1162
ref
appTerm
1164
def
axiom
nil
80
ref
1164
remove
nil
cons
cons
83
ref
1163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1162
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1165
def
subst
1166
def
appThm
nil
522
ref
1125
ref
cons
nil
cons
nil
cons
cons
1145
ref
subst
trans
sym
78
ref
eqMp
nil
80
ref
1160
remove
1161
remove
24
ref
appTerm
appTerm
1167
def
nil
cons
cons
83
ref
284
ref
1109
ref
14
ref
1155
ref
appTerm
250
ref
1141
remove
appTerm
1168
def
442
ref
1140
ref
appTerm
1140
ref
appTerm
appTerm
1169
def
appTerm
1170
def
absTerm
1171
def
appTerm
1172
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
1171
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
1109
ref
nil
74
ref
1170
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
1155
ref
nil
cons
1173
def
cons
83
ref
1169
remove
nil
cons
1174
def
cons
nil
cons
cons
nil
cons
cons
1175
def
103
ref
subst
1175
remove
129
ref
subst
1159
ref
1109
ref
1168
remove
1123
ref
1149
ref
appTerm
appTerm
absTerm
1176
def
1112
ref
appTerm
1177
def
betaConv
nil
284
ref
1176
ref
appTerm
1178
def
axiom
nil
80
ref
1178
remove
nil
cons
cons
83
ref
1177
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1176
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1124
ref
1124
ref
1155
remove
assume
appThm
appThm
trans
appThm
nil
1109
ref
1144
remove
cons
1179
def
1127
ref
1117
ref
cons
nil
cons
1180
def
cons
nil
cons
cons
1109
ref
250
ref
442
ref
1123
ref
1130
ref
appTerm
appTerm
1112
ref
appTerm
appTerm
1123
ref
1131
ref
1112
ref
appTerm
1181
def
appTerm
1182
def
appTerm
absTerm
1183
def
1112
ref
appTerm
1184
def
betaConv
1127
ref
284
ref
1183
ref
appTerm
1185
def
absTerm
1186
def
1130
ref
appTerm
1187
def
betaConv
nil
284
ref
1186
ref
appTerm
1188
def
axiom
nil
80
ref
1188
remove
nil
cons
cons
83
ref
1187
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1186
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1185
remove
nil
cons
cons
83
ref
1184
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1183
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1189
def
subst
1190
def
1124
ref
nil
1180
ref
nil
cons
cons
1109
ref
250
ref
1131
ref
1140
ref
appTerm
appTerm
1182
ref
appTerm
absTerm
1191
def
1112
ref
appTerm
1192
def
betaConv
1127
ref
284
ref
1191
ref
appTerm
1193
def
absTerm
1194
def
1130
ref
appTerm
1195
def
betaConv
nil
284
ref
1194
ref
appTerm
1196
def
axiom
nil
80
ref
1196
remove
nil
cons
cons
83
ref
1195
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1194
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1193
remove
nil
cons
cons
83
ref
1192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1191
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1197
def
subst
appThm
1198
def
trans
appThm
nil
522
ref
1123
ref
1123
ref
1154
remove
appTerm
1199
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1145
ref
subst
1200
def
trans
sym
78
ref
eqMp
eqMp
nil
147
ref
1173
remove
cons
149
ref
1174
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
80
ref
92
ref
1167
remove
appTerm
1172
remove
appTerm
nil
cons
cons
83
ref
284
ref
1156
ref
appTerm
nil
cons
1201
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
236
ref
1156
ref
24
ref
appTerm
betaConv
appThm
301
ref
1109
ref
178
ref
1158
ref
appThm
1156
ref
1140
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
301
ref
1109
ref
1158
remove
absThm
appThm
appThm
nil
"p"
247
ref
var
1202
def
1156
remove
nil
cons
1203
def
cons
nil
cons
nil
cons
cons
1202
ref
14
ref
92
ref
1202
ref
varTerm
1204
def
24
ref
appTerm
appTerm
284
ref
1109
ref
14
ref
1204
ref
1112
ref
appTerm
1205
def
appTerm
1204
ref
1140
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
284
ref
1109
ref
1205
ref
absTerm
appTerm
1206
def
appTerm
absTerm
1207
def
1204
ref
appTerm
1208
def
betaConv
nil
7
ref
0
ref
283
ref
3
ref
cons
opType
constTerm
1209
def
1207
ref
appTerm
1210
def
axiom
nil
80
ref
1210
remove
nil
cons
cons
83
ref
1208
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
248
remove
cons
nil
cons
1211
def
"P"
283
ref
var
1212
def
1207
remove
nil
cons
cons
"x"
247
ref
var
1204
ref
nil
cons
cons
nil
cons
1213
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
80
ref
1201
remove
cons
83
ref
1157
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1203
remove
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1214
def
appThm
1215
def
trans
1216
def
subst
1124
ref
1166
remove
appThm
trans
appThm
nil
522
ref
1146
remove
nil
cons
cons
nil
cons
nil
cons
cons
1145
ref
subst
trans
appThm
236
ref
301
ref
1109
ref
1159
ref
1215
remove
appThm
1216
ref
appThm
nil
522
ref
1199
remove
nil
cons
cons
nil
cons
nil
cons
cons
1145
ref
subst
trans
absThm
appThm
383
ref
trans
appThm
301
ref
1109
ref
1159
ref
1124
ref
1216
remove
appThm
appThm
nil
1179
remove
nil
cons
nil
cons
cons
1214
remove
subst
1190
remove
trans
1198
remove
trans
appThm
1200
remove
trans
absThm
appThm
383
remove
trans
appThm
697
ref
trans
appThm
697
ref
trans
appThm
697
ref
trans
sym
78
ref
eqMp
nil
147
ref
284
ref
1109
ref
250
ref
1140
ref
appTerm
1140
remove
appTerm
absTerm
appTerm
nil
cons
cons
149
ref
92
ref
1147
remove
256
ref
appTerm
1217
def
appTerm
92
ref
284
ref
1109
ref
250
ref
1149
remove
appTerm
1128
remove
appTerm
absTerm
appTerm
1218
def
appTerm
284
ref
1142
ref
appTerm
1219
def
appTerm
1220
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
200
ref
subst
proveHyp
1221
def
nil
147
ref
1217
remove
nil
cons
cons
149
ref
1220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1222
def
200
ref
subst
proveHyp
nil
147
ref
1218
remove
nil
cons
cons
149
ref
1219
remove
nil
cons
1223
def
cons
nil
cons
cons
nil
cons
cons
200
ref
subst
proveHyp
nil
80
ref
1223
remove
cons
83
ref
1143
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1142
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
386
remove
refl
1221
remove
1222
remove
161
ref
subst
proveHyp
appThm
trans
1224
def
trans
1225
def
nil
1127
ref
885
ref
cons
1226
def
1109
ref
510
ref
cons
1227
def
"p"
21
ref
var
1228
def
1125
ref
cons
1229
def
nil
cons
cons
cons
nil
cons
cons
53
ref
"_9306"
21
ref
var
1230
def
53
ref
250
ref
1230
remove
varTerm
appTerm
1228
ref
varTerm
1231
def
appTerm
appTerm
180
ref
appTerm
absTerm
1232
def
1112
ref
appTerm
1233
def
appTerm
refl
1232
ref
1123
ref
1131
ref
1231
ref
appTerm
1234
def
appTerm
1235
def
appTerm
betaConv
appThm
104
ref
1233
remove
betaConv
appThm
53
ref
250
ref
1235
ref
appTerm
1236
def
1231
ref
appTerm
1237
def
appTerm
180
ref
appTerm
refl
appThm
trans
1232
remove
refl
1236
ref
1112
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
74
ref
1237
remove
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
53
ref
76
remove
180
ref
appTerm
1238
def
appTerm
15
ref
75
ref
appTerm
1239
def
appTerm
absTerm
1240
def
75
ref
appTerm
1241
def
betaConv
nil
208
ref
1240
ref
appTerm
1242
def
axiom
nil
80
ref
1242
remove
nil
cons
cons
83
ref
1241
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1240
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
179
ref
nil
1109
ref
1231
ref
nil
cons
1243
def
cons
1244
def
1127
ref
1235
ref
nil
cons
1245
def
cons
nil
cons
cons
nil
cons
cons
1246
def
1109
ref
53
ref
250
ref
1130
ref
appTerm
1247
def
1112
ref
appTerm
1248
def
appTerm
92
ref
903
ref
1130
ref
appTerm
1249
def
1112
ref
appTerm
1250
def
appTerm
903
ref
1112
ref
appTerm
1251
def
1130
ref
appTerm
1252
def
appTerm
1253
def
appTerm
1254
def
absTerm
1255
def
1112
ref
appTerm
1256
def
betaConv
1127
ref
284
ref
1255
ref
appTerm
1257
def
absTerm
1258
def
1130
ref
appTerm
1259
def
betaConv
301
ref
1127
ref
301
ref
1109
ref
1254
remove
assume
sym
53
ref
1253
remove
appTerm
1248
remove
appTerm
1260
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
284
ref
1127
ref
284
ref
1109
ref
1260
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
80
ref
284
ref
1258
ref
appTerm
nil
cons
cons
83
ref
1259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1258
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1257
remove
nil
cons
cons
83
ref
1256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1255
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
nil
"t2"
2
ref
var
1261
def
903
ref
1231
ref
appTerm
1235
ref
appTerm
nil
cons
cons
"t1"
2
ref
var
1262
def
903
ref
1235
remove
appTerm
1231
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1261
ref
53
ref
15
ref
92
ref
1262
ref
varTerm
1263
def
appTerm
1261
ref
varTerm
1264
def
appTerm
appTerm
appTerm
585
ref
15
ref
1263
ref
appTerm
1265
def
appTerm
15
ref
1264
ref
appTerm
1266
def
appTerm
appTerm
absTerm
1267
def
1264
ref
appTerm
1268
def
betaConv
1262
ref
208
ref
1267
ref
appTerm
1269
def
absTerm
1270
def
1263
ref
appTerm
1271
def
betaConv
nil
208
ref
1270
ref
appTerm
1272
def
axiom
nil
80
ref
1272
remove
nil
cons
cons
83
ref
1271
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1270
remove
nil
cons
cons
212
ref
1263
ref
nil
cons
cons
nil
cons
1273
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1269
remove
nil
cons
cons
83
ref
1268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1267
remove
nil
cons
cons
212
ref
1264
ref
nil
cons
cons
nil
cons
1274
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
trans
trans
sym
598
ref
1246
ref
1109
ref
53
ref
15
ref
1250
ref
appTerm
appTerm
"Number.Natural.<"
const
249
ref
constTerm
1275
def
1112
ref
appTerm
1276
def
1130
ref
appTerm
appTerm
absTerm
1277
def
1112
ref
appTerm
1278
def
betaConv
1127
ref
284
ref
1277
ref
appTerm
1279
def
absTerm
1280
def
1130
ref
appTerm
1281
def
betaConv
nil
284
ref
1280
ref
appTerm
1282
def
axiom
nil
80
ref
1282
remove
nil
cons
cons
83
ref
1281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1280
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1279
remove
nil
cons
cons
83
ref
1278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1277
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1283
def
subst
nil
1109
ref
1245
remove
cons
1127
ref
1243
ref
cons
nil
cons
1284
def
cons
nil
cons
cons
1285
def
1109
ref
53
ref
1275
ref
1130
ref
appTerm
1286
def
1112
ref
appTerm
1287
def
appTerm
"Data.Bool.?"
const
1288
def
283
remove
constTerm
1289
def
"d"
21
ref
var
1290
def
250
ref
1112
ref
appTerm
1291
def
1131
ref
1123
ref
1290
ref
varTerm
1292
def
appTerm
1293
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1294
def
1112
ref
appTerm
1295
def
betaConv
1127
ref
284
ref
1294
ref
appTerm
1296
def
absTerm
1297
def
1130
ref
appTerm
1298
def
betaConv
nil
284
ref
1297
ref
appTerm
1299
def
axiom
nil
80
ref
1299
remove
nil
cons
cons
83
ref
1298
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1297
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1296
remove
nil
cons
cons
83
ref
1295
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1294
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1300
def
subst
trans
1289
ref
refl
1301
def
1290
ref
1236
ref
refl
nil
1109
ref
1292
ref
nil
cons
cons
1302
def
1284
remove
cons
nil
cons
cons
1197
ref
subst
appThm
absThm
appThm
trans
appThm
1285
remove
1283
remove
subst
1246
remove
1300
ref
subst
trans
1301
ref
1290
ref
1159
ref
1231
ref
refl
appThm
1303
def
nil
1109
ref
1293
remove
nil
cons
cons
1127
ref
1234
ref
nil
cons
1304
def
cons
nil
cons
1305
def
cons
nil
cons
cons
1189
remove
subst
1124
ref
nil
1302
ref
1305
remove
cons
nil
cons
cons
1197
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
80
ref
585
ref
1289
ref
1290
ref
1236
ref
1123
ref
442
ref
1231
ref
appTerm
1306
def
1292
ref
appTerm
appTerm
appTerm
1307
def
absTerm
1308
def
appTerm
1309
def
appTerm
1289
ref
1290
ref
250
ref
1231
ref
appTerm
1310
def
1123
ref
1123
ref
442
ref
1234
ref
appTerm
1292
ref
appTerm
appTerm
appTerm
appTerm
1311
def
absTerm
1312
def
appTerm
1313
def
appTerm
1314
def
nil
cons
cons
nil
cons
nil
cons
cons
188
ref
refl
1315
def
nil
74
ref
15
ref
87
ref
appTerm
1316
def
nil
cons
1317
def
cons
nil
cons
nil
cons
cons
74
ref
53
ref
369
ref
180
ref
appTerm
appTerm
1239
ref
appTerm
absTerm
1318
def
75
ref
appTerm
1319
def
betaConv
nil
208
ref
1318
ref
appTerm
1320
def
axiom
nil
80
ref
1320
remove
nil
cons
cons
83
ref
1319
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1318
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1321
def
subst
appThm
sym
1315
remove
123
ref
74
ref
53
ref
15
ref
1239
ref
appTerm
appTerm
75
ref
appTerm
absTerm
1322
def
75
ref
appTerm
1323
def
betaConv
nil
208
ref
1322
ref
appTerm
1324
def
axiom
nil
80
ref
1324
remove
nil
cons
cons
83
ref
1323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1322
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1325
def
subst
1326
def
appThm
nil
330
ref
nil
cons
cons
210
ref
51
ref
cons
1327
def
354
remove
subst
1328
def
subst
trans
sym
78
ref
eqMp
eqMp
1329
def
subst
sym
nil
80
ref
15
ref
1314
remove
appTerm
1330
def
nil
cons
1331
def
cons
187
ref
cons
nil
cons
cons
1332
def
103
ref
subst
1332
remove
129
ref
subst
nil
284
ref
1127
ref
284
ref
1109
ref
250
ref
1181
ref
appTerm
1153
ref
1130
ref
appTerm
1333
def
appTerm
1334
def
absTerm
appTerm
absTerm
1335
def
appTerm
1336
def
axiom
nil
80
ref
1336
remove
nil
cons
1337
def
cons
1338
def
187
ref
cons
nil
cons
cons
1339
def
164
ref
subst
proveHyp
1340
def
1339
ref
103
ref
subst
1341
def
1339
remove
129
ref
subst
1342
def
nil
"_9309"
21
ref
var
1343
def
1243
ref
cons
"_9308"
21
ref
var
1344
def
1138
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
250
ref
442
ref
1344
remove
varTerm
1345
def
appTerm
1112
ref
appTerm
appTerm
1153
ref
1345
ref
appTerm
appTerm
absTerm
1346
def
1343
remove
varTerm
1347
def
appTerm
1348
def
betaConv
1335
ref
1345
ref
appTerm
1349
def
betaConv
nil
1338
ref
83
ref
1349
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1335
ref
nil
cons
cons
1350
def
522
ref
1345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
1346
ref
appTerm
nil
cons
cons
83
ref
1348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1346
remove
nil
cons
cons
522
ref
1347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
nil
80
ref
250
ref
1234
ref
appTerm
1306
ref
1130
ref
appTerm
1351
def
appTerm
nil
cons
cons
83
ref
1236
ref
1123
ref
1351
ref
appTerm
appTerm
nil
cons
1352
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_9313"
21
ref
var
1353
def
1351
ref
nil
cons
cons
"_9312"
21
ref
var
1354
def
1304
remove
cons
nil
cons
cons
nil
cons
cons
nil
80
ref
250
ref
1354
remove
varTerm
1355
def
appTerm
1353
remove
varTerm
1356
def
appTerm
1357
def
nil
cons
1358
def
cons
83
ref
250
ref
1123
ref
1355
remove
appTerm
appTerm
1123
ref
1356
remove
appTerm
appTerm
nil
cons
1359
def
cons
nil
cons
cons
nil
cons
cons
1360
def
103
ref
subst
1360
remove
129
ref
subst
1124
ref
1357
remove
assume
appThm
eqMp
nil
147
ref
1358
remove
cons
149
ref
1359
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
80
ref
1352
remove
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_9310"
21
ref
var
1361
def
1138
ref
cons
nil
cons
nil
cons
cons
nil
80
ref
1236
remove
1123
ref
1306
remove
1361
remove
varTerm
1362
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
53
ref
1316
ref
appTerm
refl
123
remove
1321
ref
subst
appThm
nil
212
ref
1317
remove
cons
nil
cons
nil
cons
cons
1328
ref
subst
trans
sym
78
ref
eqMp
1363
def
subst
1290
ref
15
ref
1307
remove
appTerm
absTerm
1364
def
1362
ref
appTerm
1365
def
betaConv
nil
80
ref
1309
remove
nil
cons
cons
83
ref
1313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
80
ref
188
ref
180
ref
appTerm
1366
def
nil
cons
1367
def
cons
1368
def
83
ref
53
ref
15
ref
585
ref
87
ref
appTerm
1369
def
89
ref
appTerm
appTerm
appTerm
92
ref
1316
ref
appTerm
1370
def
15
ref
89
ref
appTerm
1371
def
appTerm
appTerm
nil
cons
1372
def
cons
nil
cons
1373
def
cons
nil
cons
cons
1374
def
103
ref
subst
1374
remove
129
ref
subst
53
ref
"_534"
2
ref
var
1375
def
53
ref
15
ref
585
ref
1375
remove
varTerm
1376
def
appTerm
89
ref
appTerm
appTerm
appTerm
92
ref
15
ref
1376
remove
appTerm
appTerm
1371
ref
appTerm
appTerm
absTerm
1377
def
87
ref
appTerm
1378
def
appTerm
refl
1379
def
1377
ref
180
ref
appTerm
betaConv
appThm
104
ref
1378
remove
betaConv
appThm
1380
def
53
ref
15
ref
604
ref
89
ref
appTerm
appTerm
appTerm
92
ref
216
ref
appTerm
1381
def
1371
ref
appTerm
appTerm
refl
appThm
trans
1377
remove
refl
1382
def
1366
remove
assume
1383
def
appThm
eqMp
sym
104
ref
179
ref
126
ref
608
ref
subst
1384
def
appThm
appThm
236
ref
217
ref
appThm
1385
def
1371
ref
refl
1386
def
appThm
nil
74
ref
1371
ref
nil
cons
1387
def
cons
nil
cons
nil
cons
cons
1388
def
245
ref
subst
1389
def
trans
appThm
nil
212
ref
1387
remove
cons
nil
cons
nil
cons
cons
1328
ref
subst
1390
def
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
147
ref
1367
ref
cons
1391
def
149
ref
1372
ref
cons
nil
cons
1392
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
188
remove
64
ref
appTerm
1393
def
nil
cons
1394
def
cons
1395
def
1373
remove
cons
nil
cons
cons
1396
def
103
ref
subst
1396
remove
129
ref
subst
1379
remove
"_532"
2
ref
var
1397
def
53
ref
15
ref
585
ref
1397
remove
varTerm
1398
def
appTerm
89
ref
appTerm
appTerm
appTerm
92
ref
15
ref
1398
remove
appTerm
appTerm
1371
ref
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
1380
remove
53
ref
15
ref
585
ref
64
ref
appTerm
1399
def
89
ref
appTerm
appTerm
appTerm
92
ref
15
ref
64
ref
appTerm
1400
def
appTerm
1401
def
1371
ref
appTerm
appTerm
refl
appThm
trans
1382
remove
1393
remove
assume
1402
def
appThm
eqMp
sym
104
ref
179
ref
126
ref
74
ref
53
ref
1399
ref
75
ref
appTerm
appTerm
64
ref
appTerm
absTerm
1403
def
75
ref
appTerm
1404
def
betaConv
nil
208
ref
1403
ref
appTerm
1405
def
axiom
nil
80
ref
1405
remove
nil
cons
cons
83
ref
1404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1403
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1406
def
subst
1407
def
appThm
nil
53
ref
1400
ref
appTerm
180
ref
appTerm
axiom
1408
def
trans
appThm
236
ref
1408
ref
appThm
1409
def
1386
remove
appThm
1388
ref
74
ref
53
ref
92
ref
180
ref
appTerm
1410
def
75
ref
appTerm
appTerm
180
ref
appTerm
absTerm
1411
def
75
ref
appTerm
1412
def
betaConv
nil
208
ref
1411
ref
appTerm
1413
def
axiom
nil
80
ref
1413
remove
nil
cons
cons
83
ref
1412
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1411
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1414
def
subst
1415
def
trans
appThm
nil
74
ref
186
ref
cons
nil
cons
nil
cons
cons
74
ref
53
ref
207
ref
75
ref
appTerm
appTerm
1239
ref
appTerm
absTerm
1416
def
75
ref
appTerm
1417
def
betaConv
nil
208
ref
1416
ref
appTerm
1418
def
axiom
nil
80
ref
1418
remove
nil
cons
cons
83
ref
1417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1416
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1419
def
subst
217
ref
trans
1420
def
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
147
ref
1394
remove
cons
1421
def
1392
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
74
ref
585
ref
77
ref
appTerm
1238
remove
appTerm
absTerm
1422
def
87
ref
appTerm
1423
def
betaConv
nil
208
ref
1422
ref
appTerm
1424
def
axiom
1425
def
nil
80
ref
1424
remove
nil
cons
cons
1426
def
83
ref
1423
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1422
ref
nil
cons
cons
1427
def
330
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1428
def
nil
1421
ref
149
ref
1367
remove
cons
1429
def
"R"
2
ref
var
1430
def
1372
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
80
ref
14
ref
153
ref
appTerm
1431
def
1430
ref
varTerm
1432
def
appTerm
1433
def
nil
cons
cons
83
ref
1432
ref
nil
cons
1434
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
80
ref
202
ref
1432
ref
appTerm
nil
cons
cons
83
ref
14
ref
1433
remove
appTerm
1432
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
303
ref
14
ref
202
ref
308
ref
appTerm
appTerm
1435
def
14
ref
1431
ref
308
ref
appTerm
appTerm
308
ref
appTerm
appTerm
absTerm
1436
def
1432
remove
appTerm
1437
def
betaConv
53
ref
585
ref
151
ref
appTerm
1438
def
153
ref
appTerm
1439
def
appTerm
refl
83
ref
208
ref
303
ref
1435
remove
14
ref
310
remove
appTerm
308
ref
appTerm
1440
def
appTerm
absTerm
appTerm
absTerm
153
ref
appTerm
betaConv
appThm
116
remove
1438
remove
appTerm
refl
80
ref
83
ref
208
ref
303
ref
14
ref
88
remove
308
ref
appTerm
appTerm
1440
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1441
def
151
remove
appTerm
betaConv
appThm
nil
100
remove
585
ref
appTerm
1441
remove
appTerm
axiom
159
remove
appThm
eqMp
156
remove
appThm
eqMp
1442
def
1439
remove
assume
eqMp
nil
80
ref
208
ref
1436
ref
appTerm
nil
cons
cons
83
ref
1437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1436
remove
nil
cons
cons
212
ref
1434
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
1443
def
subst
proveHyp
proveHyp
proveHyp
subst
236
ref
nil
487
ref
1308
ref
nil
cons
cons
nil
cons
nil
cons
cons
382
ref
104
ref
179
ref
1288
ref
56
remove
constTerm
1444
def
refl
1445
def
nil
"t"
55
remove
var
59
ref
nil
cons
1446
def
cons
nil
cons
nil
cons
cons
954
remove
"B"
3
ref
cons
nil
cons
cons
51
ref
cons
"t"
0
ref
54
ref
935
remove
cons
opType
1447
def
var
1448
def
16
remove
0
ref
1447
ref
0
ref
1447
ref
3
ref
cons
opType
1449
def
nil
cons
cons
opType
constTerm
1450
def
1448
ref
varTerm
1451
def
appTerm
63
ref
1451
ref
168
ref
appTerm
absTerm
1452
def
appTerm
1453
def
absTerm
1454
def
1451
ref
appTerm
1455
def
betaConv
7
ref
0
ref
1449
ref
3
ref
cons
opType
constTerm
1456
def
refl
1448
ref
1453
remove
assume
sym
1450
remove
1452
remove
appTerm
1451
ref
appTerm
1457
def
assume
sym
deductAntisym
absThm
appThm
nil
1456
ref
1448
remove
1457
remove
absTerm
appTerm
axiom
eqMp
nil
80
ref
1456
remove
1454
ref
appTerm
nil
cons
cons
83
ref
1455
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
1447
ref
nil
cons
cons
nil
cons
"P"
1449
remove
var
1454
remove
nil
cons
cons
"x"
1447
remove
var
1451
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
subst
1458
def
appThm
appThm
appThm
57
ref
63
ref
15
ref
169
ref
appTerm
1459
def
absTerm
1460
def
appTerm
refl
appThm
sym
nil
61
ref
1446
ref
cons
nil
cons
nil
cons
cons
1461
def
61
ref
53
ref
15
ref
1444
ref
63
ref
62
ref
168
ref
appTerm
1462
def
absTerm
1463
def
appTerm
1464
def
appTerm
appTerm
57
ref
63
ref
15
ref
1462
ref
appTerm
absTerm
1465
def
appTerm
appTerm
absTerm
1466
def
62
ref
appTerm
1467
def
betaConv
nil
864
ref
1466
ref
appTerm
1468
def
axiom
nil
80
ref
1468
remove
nil
cons
cons
83
ref
1467
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
1466
remove
nil
cons
cons
871
ref
62
ref
nil
cons
cons
nil
cons
1469
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
subst
1470
def
subst
301
ref
1290
ref
179
ref
1308
remove
1292
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
487
ref
1312
ref
nil
cons
cons
nil
cons
nil
cons
cons
1470
ref
subst
301
ref
1290
ref
179
ref
1312
remove
1292
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
1330
remove
assume
eqMp
nil
147
ref
284
ref
1364
ref
appTerm
nil
cons
1471
def
cons
149
ref
284
ref
1290
ref
15
ref
1311
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
proveHyp
nil
80
ref
1471
remove
cons
83
ref
1365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1364
remove
nil
cons
cons
522
ref
1362
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
1337
remove
cons
149
ref
186
ref
cons
nil
cons
1472
def
cons
nil
cons
cons
161
ref
subst
1473
def
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
1331
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
1225
remove
eqMp
appThm
217
ref
trans
sym
78
ref
eqMp
1474
def
nil
80
ref
15
ref
250
ref
387
ref
appTerm
24
ref
appTerm
1475
def
appTerm
1476
def
nil
cons
1477
def
cons
1478
def
83
ref
250
ref
1090
ref
appTerm
285
ref
appTerm
1479
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
1110
ref
1127
ref
510
ref
cons
nil
cons
1480
def
cons
nil
cons
cons
1109
ref
14
ref
15
ref
1247
ref
24
ref
appTerm
1481
def
appTerm
appTerm
250
ref
896
ref
385
ref
1130
ref
appTerm
1482
def
1112
ref
appTerm
1483
def
appTerm
1130
ref
appTerm
appTerm
1112
ref
appTerm
appTerm
absTerm
1484
def
1112
ref
appTerm
1485
def
betaConv
1127
ref
284
ref
1484
ref
appTerm
1486
def
absTerm
1487
def
1130
ref
appTerm
1488
def
betaConv
nil
284
ref
1487
ref
appTerm
1489
def
axiom
nil
80
ref
1489
remove
nil
cons
cons
83
ref
1488
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1487
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1486
remove
nil
cons
cons
83
ref
1485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1484
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1490
def
subst
eqMp
53
ref
"_30719"
21
ref
var
1491
def
980
ref
36
ref
1491
remove
varTerm
appTerm
275
ref
appTerm
898
ref
appTerm
261
ref
appTerm
appTerm
absTerm
1492
def
1090
remove
appTerm
1493
def
appTerm
refl
1492
ref
285
ref
appTerm
betaConv
appThm
104
ref
1493
remove
betaConv
appThm
980
ref
295
ref
898
ref
appTerm
261
ref
appTerm
1494
def
appTerm
1495
def
refl
appThm
trans
1492
remove
refl
1479
remove
assume
appThm
eqMp
sym
798
ref
898
ref
appTerm
1496
def
betaConv
800
ref
275
ref
appTerm
1497
def
betaConv
802
ref
285
ref
appTerm
1498
def
betaConv
nil
80
ref
845
remove
cons
83
ref
1498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
802
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
801
remove
nil
cons
cons
83
ref
1497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
800
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
799
remove
nil
cons
cons
83
ref
1496
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
798
remove
nil
cons
cons
6
ref
898
ref
nil
cons
1499
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
246
ref
9
ref
384
ref
14
ref
391
ref
793
ref
898
ref
appTerm
261
ref
appTerm
1500
def
393
ref
appTerm
appTerm
appTerm
1501
def
797
ref
405
ref
898
ref
appTerm
1502
def
appTerm
261
ref
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1503
def
nil
cons
cons
83
ref
1495
ref
nil
cons
1504
def
cons
nil
cons
1505
def
cons
nil
cons
cons
164
ref
subst
proveHyp
10
ref
14
ref
600
ref
appTerm
1506
def
18
ref
405
ref
140
remove
404
ref
appTerm
appTerm
appTerm
19
ref
appTerm
appTerm
absTerm
1507
def
270
ref
appTerm
1508
def
betaConv
6
ref
9
ref
10
ref
139
ref
18
ref
175
ref
141
remove
appTerm
appTerm
19
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1509
def
404
remove
appTerm
1510
def
betaConv
nil
9
ref
1509
ref
appTerm
1511
def
axiom
nil
80
ref
1511
remove
nil
cons
cons
83
ref
1510
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1509
remove
nil
cons
cons
573
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1512
def
nil
80
ref
9
ref
1507
ref
appTerm
nil
cons
cons
1513
def
83
ref
1508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1507
ref
nil
cons
cons
1514
def
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1506
ref
18
ref
1502
ref
appTerm
270
ref
appTerm
1515
def
appTerm
1516
def
nil
cons
cons
83
ref
14
ref
1503
remove
appTerm
1495
ref
appTerm
1517
def
nil
cons
1518
def
cons
nil
cons
1519
def
cons
nil
cons
cons
164
ref
subst
proveHyp
601
ref
nil
602
ref
83
ref
14
ref
1515
ref
appTerm
1517
ref
appTerm
1520
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
80
ref
1515
ref
nil
cons
1521
def
cons
1519
remove
cons
nil
cons
cons
1522
def
103
ref
subst
1522
remove
129
ref
subst
53
ref
"_30721"
1
ref
var
1523
def
14
ref
9
ref
246
ref
9
ref
384
ref
1501
ref
797
remove
1523
remove
varTerm
appTerm
261
ref
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
1495
ref
appTerm
absTerm
1524
def
1502
remove
appTerm
1525
def
appTerm
refl
1524
ref
270
ref
appTerm
betaConv
appThm
104
ref
1525
remove
betaConv
appThm
14
ref
9
ref
246
ref
9
ref
384
ref
1501
remove
980
remove
393
ref
appTerm
appTerm
absTerm
1526
def
appTerm
1527
def
absTerm
1528
def
appTerm
1529
def
appTerm
1495
remove
appTerm
refl
appThm
trans
1524
remove
refl
1515
remove
assume
appThm
eqMp
sym
nil
80
ref
1529
remove
nil
cons
1530
def
cons
1531
def
1505
ref
cons
nil
cons
cons
1532
def
103
ref
subst
1532
remove
129
ref
subst
236
ref
1159
ref
390
remove
assume
appThm
746
ref
appThm
nil
933
remove
nil
cons
cons
1145
remove
subst
1533
def
trans
appThm
nil
269
ref
1499
remove
cons
nil
cons
nil
cons
cons
nil
74
ref
837
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
854
remove
877
remove
nil
80
ref
1083
remove
cons
83
ref
876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
878
remove
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
874
remove
nil
cons
cons
83
ref
853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
856
remove
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
1534
def
subst
appThm
697
ref
trans
sym
78
ref
eqMp
nil
80
ref
391
ref
1500
remove
1494
ref
appTerm
appTerm
nil
cons
cons
1505
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
384
ref
1494
remove
nil
cons
cons
nil
cons
nil
cons
cons
1526
ref
393
ref
appTerm
1535
def
betaConv
1528
ref
261
ref
appTerm
1536
def
betaConv
nil
1531
remove
83
ref
1536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
1528
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1527
remove
nil
cons
cons
83
ref
1535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1526
remove
nil
cons
cons
678
remove
nil
cons
1537
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
1530
remove
cons
149
ref
1504
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
1521
ref
cons
149
ref
1518
ref
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
92
ref
600
remove
appTerm
1538
def
1520
remove
appTerm
nil
cons
cons
83
ref
14
ref
1516
remove
appTerm
1517
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
303
ref
1518
remove
cons
83
ref
1521
remove
cons
602
ref
nil
cons
1539
def
cons
cons
nil
cons
cons
709
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
147
ref
1088
ref
cons
149
ref
1094
ref
cons
nil
cons
1540
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1102
ref
cons
1095
remove
cons
nil
cons
cons
1541
def
103
ref
subst
1541
remove
129
ref
subst
775
remove
refl
1542
def
1087
ref
assume
1543
def
appThm
740
ref
appThm
351
ref
appThm
362
ref
appThm
1054
ref
1159
ref
1543
ref
appThm
746
ref
appThm
1533
ref
trans
appThm
351
ref
appThm
1108
ref
1054
ref
893
ref
refl
1543
ref
appThm
appThm
36
ref
refl
1544
def
896
ref
refl
1545
def
1543
ref
appThm
387
ref
refl
1546
def
appThm
appThm
740
ref
appThm
898
ref
refl
1547
def
appThm
362
ref
appThm
appThm
900
ref
refl
1548
def
1544
ref
1543
ref
appThm
1549
def
901
ref
refl
1550
def
appThm
351
ref
appThm
902
ref
refl
1551
def
appThm
appThm
1054
ref
904
ref
refl
1552
def
1543
ref
appThm
appThm
1544
ref
906
ref
refl
1553
def
1543
ref
appThm
740
ref
appThm
appThm
740
ref
appThm
909
ref
refl
1554
def
appThm
362
ref
appThm
appThm
1549
remove
910
ref
refl
1555
def
1543
remove
appThm
appThm
351
ref
appThm
911
ref
refl
1556
def
appThm
appThm
appThm
appThm
appThm
nil
1062
ref
932
remove
nil
cons
cons
1557
def
1122
ref
cons
nil
cons
cons
1071
ref
subst
trans
appThm
nil
1557
remove
1064
ref
cons
nil
cons
cons
1121
ref
subst
trans
appThm
963
ref
trans
sym
78
ref
eqMp
eqMp
nil
1103
ref
1540
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
74
ref
585
ref
75
ref
appTerm
1558
def
1239
remove
appTerm
absTerm
1559
def
1087
remove
appTerm
1560
def
betaConv
nil
208
ref
1559
ref
appTerm
1561
def
axiom
1562
def
nil
80
ref
1561
remove
nil
cons
cons
1563
def
83
ref
1560
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1559
ref
nil
cons
cons
1564
def
212
ref
1102
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1103
remove
149
ref
1088
remove
cons
1430
ref
1094
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
1077
remove
cons
149
ref
1078
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
991
remove
nil
cons
cons
83
ref
1046
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
1008
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
1007
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
1006
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
1005
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
998
remove
nil
cons
1565
def
cons
83
ref
1004
remove
nil
cons
1566
def
cons
nil
cons
cons
nil
cons
cons
1567
def
103
ref
subst
1567
remove
129
ref
subst
nil
617
remove
149
ref
997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1568
def
161
ref
subst
1568
remove
200
ref
subst
nil
1076
ref
149
ref
996
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1569
def
161
ref
subst
1569
remove
200
ref
subst
nil
147
ref
994
ref
nil
cons
1570
def
cons
1571
def
1084
ref
cons
nil
cons
cons
1572
def
161
ref
subst
1572
remove
200
ref
subst
nil
5
ref
1003
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
1002
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
1001
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
1000
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
999
ref
refl
1573
def
nil
274
ref
420
ref
nil
cons
cons
nil
cons
nil
cons
cons
926
ref
subst
appThm
sym
1573
ref
1058
ref
887
ref
250
ref
420
ref
appTerm
256
ref
appTerm
1574
def
appTerm
261
ref
appTerm
1575
def
refl
895
ref
897
ref
420
ref
appTerm
898
ref
appTerm
261
ref
appTerm
1576
def
appTerm
1577
def
refl
1054
ref
nil
1109
ref
620
ref
cons
1578
def
nil
cons
nil
cons
cons
1579
def
1119
remove
subst
appThm
294
ref
896
ref
420
ref
appTerm
387
ref
appTerm
1580
def
appTerm
270
ref
appTerm
902
ref
appTerm
1581
def
refl
1582
def
appThm
887
ref
903
ref
420
ref
appTerm
285
ref
appTerm
appTerm
36
ref
907
ref
420
ref
appTerm
appTerm
420
ref
appTerm
909
ref
appTerm
261
ref
appTerm
appTerm
294
ref
906
ref
420
ref
appTerm
285
ref
appTerm
appTerm
270
ref
appTerm
911
ref
appTerm
appTerm
1583
def
refl
appThm
nil
1062
ref
1583
remove
nil
cons
cons
1063
ref
1581
ref
nil
cons
1584
def
cons
nil
cons
cons
nil
cons
cons
1121
ref
subst
trans
appThm
appThm
appThm
nil
1062
ref
1575
remove
1577
remove
1581
remove
appTerm
1585
def
appTerm
1586
def
nil
cons
cons
1064
ref
cons
nil
cons
cons
1071
ref
subst
trans
appThm
sym
nil
80
ref
15
ref
1574
ref
appTerm
nil
cons
1587
def
cons
1588
def
83
ref
999
ref
1586
remove
appTerm
nil
cons
1589
def
cons
nil
cons
1590
def
cons
nil
cons
cons
1591
def
103
ref
subst
1591
remove
129
ref
subst
53
ref
"_30723"
2
ref
var
1592
def
999
ref
887
ref
1592
remove
varTerm
appTerm
261
ref
appTerm
1585
ref
appTerm
appTerm
absTerm
1593
def
1574
ref
appTerm
1594
def
appTerm
refl
1593
ref
180
ref
appTerm
betaConv
appThm
104
ref
1594
remove
betaConv
appThm
999
ref
1100
ref
261
ref
appTerm
1595
def
1585
ref
appTerm
appTerm
refl
appThm
trans
1593
remove
refl
nil
1588
remove
83
ref
53
ref
1574
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
1574
ref
nil
cons
1596
def
cons
1597
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
eqMp
sym
1573
remove
nil
1062
ref
1585
remove
nil
cons
cons
1122
ref
cons
nil
cons
cons
1071
ref
subst
1054
ref
1111
ref
1109
ref
53
ref
893
ref
1112
ref
appTerm
1598
def
appTerm
1599
def
15
ref
993
remove
1112
ref
appTerm
1600
def
appTerm
1601
def
appTerm
1602
def
absTerm
1603
def
1112
ref
appTerm
1604
def
betaConv
301
ref
1109
ref
1602
remove
assume
sym
53
ref
1601
remove
appTerm
1598
ref
appTerm
1605
def
assume
sym
deductAntisym
absThm
appThm
nil
284
ref
1109
ref
1605
remove
absTerm
appTerm
axiom
eqMp
nil
80
ref
284
ref
1603
ref
appTerm
nil
cons
cons
83
ref
1604
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1603
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1606
def
subst
179
ref
nil
74
ref
1570
remove
cons
nil
cons
nil
cons
cons
79
ref
subst
994
remove
assume
eqMp
appThm
1408
ref
trans
trans
appThm
1607
def
1576
ref
refl
appThm
1582
remove
appThm
nil
1062
ref
1584
remove
cons
1063
ref
1576
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
ref
subst
trans
trans
appThm
sym
1474
remove
nil
1478
remove
83
ref
250
ref
1580
ref
appTerm
275
ref
appTerm
1608
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
1578
ref
1480
ref
cons
nil
cons
cons
1490
remove
subst
eqMp
53
ref
"_30725"
21
ref
var
1609
def
999
ref
294
ref
1609
remove
varTerm
appTerm
270
ref
appTerm
902
ref
appTerm
appTerm
absTerm
1610
def
1580
remove
appTerm
1611
def
appTerm
refl
1610
ref
275
ref
appTerm
betaConv
appThm
104
ref
1611
remove
betaConv
appThm
999
ref
296
remove
902
ref
appTerm
1612
def
appTerm
1613
def
refl
appThm
trans
1610
remove
refl
1608
remove
assume
appThm
eqMp
sym
805
ref
902
ref
appTerm
1614
def
betaConv
807
ref
270
ref
appTerm
1615
def
betaConv
809
ref
275
ref
appTerm
1616
def
betaConv
811
ref
285
ref
appTerm
1617
def
betaConv
nil
80
ref
847
remove
cons
83
ref
1617
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
811
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
810
remove
nil
cons
cons
83
ref
1616
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
809
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
808
remove
nil
cons
cons
83
ref
1615
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
807
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
806
remove
nil
cons
cons
83
ref
1614
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
805
remove
nil
cons
cons
6
ref
902
ref
nil
cons
1618
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
384
ref
14
ref
422
ref
794
ref
902
ref
appTerm
1619
def
393
ref
appTerm
appTerm
appTerm
1620
def
804
ref
405
remove
902
ref
appTerm
1621
def
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
1622
def
nil
cons
cons
83
ref
1613
ref
nil
cons
1623
def
cons
nil
cons
1624
def
cons
nil
cons
cons
164
ref
subst
proveHyp
1507
remove
261
ref
appTerm
1625
def
betaConv
1512
remove
nil
1513
remove
83
ref
1625
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
1514
remove
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1506
remove
18
ref
1621
ref
appTerm
261
ref
appTerm
1626
def
appTerm
1627
def
nil
cons
cons
83
ref
14
ref
1622
remove
appTerm
1613
ref
appTerm
1628
def
nil
cons
1629
def
cons
nil
cons
1630
def
cons
nil
cons
cons
164
ref
subst
proveHyp
601
remove
nil
602
remove
83
ref
14
ref
1626
ref
appTerm
1628
ref
appTerm
1631
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
80
ref
1626
ref
nil
cons
1632
def
cons
1630
remove
cons
nil
cons
cons
1633
def
103
ref
subst
1633
remove
129
ref
subst
53
ref
"_30727"
1
ref
var
1634
def
14
ref
9
ref
384
ref
1620
ref
804
remove
1634
remove
varTerm
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
appTerm
1613
ref
appTerm
absTerm
1635
def
1621
remove
appTerm
1636
def
appTerm
refl
1635
ref
261
ref
appTerm
betaConv
appThm
104
ref
1636
remove
betaConv
appThm
14
ref
9
ref
384
ref
1620
remove
999
remove
393
ref
appTerm
appTerm
absTerm
1637
def
appTerm
1638
def
appTerm
1613
remove
appTerm
refl
appThm
trans
1635
remove
refl
1626
remove
assume
appThm
eqMp
sym
nil
80
ref
1638
remove
nil
cons
1639
def
cons
1640
def
1624
ref
cons
nil
cons
cons
1641
def
103
ref
subst
1641
remove
129
ref
subst
236
ref
1159
ref
421
remove
assume
appThm
746
ref
appThm
1533
ref
trans
appThm
nil
246
ref
1618
remove
cons
nil
cons
nil
cons
cons
1534
ref
subst
appThm
697
ref
trans
sym
78
ref
eqMp
nil
80
ref
422
ref
1619
remove
1612
ref
appTerm
appTerm
nil
cons
cons
1624
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
384
ref
1612
remove
nil
cons
cons
nil
cons
nil
cons
cons
1637
ref
393
ref
appTerm
1642
def
betaConv
nil
1640
remove
83
ref
1642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
1637
remove
nil
cons
cons
1537
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
1639
remove
cons
149
ref
1623
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
1632
ref
cons
149
ref
1629
ref
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
1538
remove
1631
remove
appTerm
nil
cons
cons
83
ref
14
ref
1627
remove
appTerm
1628
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
303
ref
1629
remove
cons
83
ref
1632
remove
cons
1539
remove
cons
cons
nil
cons
cons
709
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
147
ref
1587
ref
cons
149
ref
1589
ref
cons
nil
cons
1643
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1596
ref
cons
1590
remove
cons
nil
cons
cons
1644
def
103
ref
subst
1644
remove
129
ref
subst
784
remove
refl
1645
def
1574
ref
assume
1646
def
appThm
351
ref
appThm
362
ref
appThm
1054
ref
1159
ref
1646
ref
appThm
746
ref
appThm
1533
ref
trans
appThm
362
ref
appThm
895
ref
refl
1647
def
897
ref
refl
1648
def
1646
ref
appThm
1547
ref
appThm
362
ref
appThm
appThm
294
ref
refl
1649
def
1545
ref
1646
remove
appThm
1546
ref
appThm
appThm
351
ref
appThm
1551
ref
appThm
appThm
appThm
nil
1062
ref
1059
ref
1060
ref
appTerm
nil
cons
cons
1122
ref
cons
nil
cons
cons
1121
ref
subst
trans
appThm
1075
ref
trans
sym
78
ref
eqMp
eqMp
nil
1597
ref
1643
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
1574
remove
appTerm
1650
def
betaConv
1562
ref
nil
1563
ref
83
ref
1650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1596
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1597
remove
149
ref
1587
remove
cons
1430
ref
1589
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
1565
remove
cons
149
ref
1566
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
1009
remove
nil
cons
cons
83
ref
1045
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
1027
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
1026
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
1025
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
1024
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
1016
remove
nil
cons
1651
def
cons
83
ref
1023
remove
nil
cons
1652
def
cons
nil
cons
cons
nil
cons
cons
1653
def
103
ref
subst
1653
remove
129
ref
subst
nil
631
ref
149
ref
1015
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1654
def
161
ref
subst
1654
remove
200
ref
subst
nil
147
ref
894
ref
nil
cons
1655
def
cons
1656
def
149
ref
1014
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1657
def
161
ref
subst
1657
remove
200
ref
subst
nil
1082
ref
149
ref
1013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1658
def
161
ref
subst
1658
remove
200
ref
subst
nil
147
ref
1011
ref
nil
cons
1659
def
cons
1084
ref
cons
nil
cons
cons
1660
def
161
ref
subst
1660
remove
200
ref
subst
nil
5
ref
1022
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
1021
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
1020
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
1019
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
1017
ref
refl
1661
def
nil
282
ref
444
ref
nil
cons
cons
nil
cons
nil
cons
cons
926
ref
subst
appThm
sym
1661
ref
887
ref
250
ref
444
ref
appTerm
256
ref
appTerm
1662
def
appTerm
270
ref
appTerm
1663
def
refl
1108
remove
1054
ref
nil
1110
remove
1127
ref
620
ref
cons
1664
def
nil
cons
1665
def
cons
nil
cons
cons
1666
def
1109
ref
53
ref
893
ref
1181
ref
appTerm
appTerm
53
ref
893
ref
1130
ref
appTerm
appTerm
1598
ref
appTerm
appTerm
absTerm
1667
def
1112
ref
appTerm
1668
def
betaConv
1127
ref
284
ref
1667
ref
appTerm
1669
def
absTerm
1670
def
1130
ref
appTerm
1671
def
betaConv
nil
284
ref
1670
ref
appTerm
1672
def
axiom
nil
80
ref
1672
remove
nil
cons
cons
83
ref
1671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1670
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1669
remove
nil
cons
cons
83
ref
1668
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1667
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1673
def
subst
53
ref
899
ref
appTerm
1674
def
refl
nil
74
ref
1655
ref
cons
nil
cons
nil
cons
cons
1675
def
79
ref
subst
894
ref
assume
eqMp
appThm
nil
74
ref
899
ref
nil
cons
1676
def
cons
nil
cons
nil
cons
cons
1677
def
74
ref
53
ref
77
remove
appTerm
75
ref
appTerm
absTerm
1678
def
75
ref
appTerm
1679
def
betaConv
nil
208
ref
1678
ref
appTerm
1680
def
axiom
nil
80
ref
1680
remove
nil
cons
cons
83
ref
1679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
1678
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1681
def
subst
trans
trans
appThm
36
ref
896
ref
444
ref
appTerm
387
ref
appTerm
appTerm
275
ref
appTerm
898
ref
appTerm
261
ref
appTerm
1682
def
refl
1683
def
appThm
900
ref
1018
ref
901
remove
appTerm
270
ref
appTerm
902
ref
appTerm
1684
def
appTerm
887
ref
904
remove
444
ref
appTerm
appTerm
36
ref
906
ref
444
ref
appTerm
275
ref
appTerm
appTerm
275
ref
appTerm
909
ref
appTerm
261
ref
appTerm
appTerm
1018
ref
910
remove
444
ref
appTerm
appTerm
270
ref
appTerm
911
ref
appTerm
1685
def
appTerm
appTerm
1686
def
refl
appThm
appThm
nil
1062
ref
900
ref
1682
ref
appTerm
1686
remove
appTerm
1687
def
nil
cons
cons
1688
def
1122
ref
cons
nil
cons
cons
1071
ref
subst
trans
appThm
appThm
sym
nil
80
ref
15
ref
1662
ref
appTerm
nil
cons
1689
def
cons
1690
def
83
ref
1017
ref
1663
remove
1687
ref
appTerm
appTerm
nil
cons
1691
def
cons
nil
cons
1692
def
cons
nil
cons
cons
1693
def
103
ref
subst
1693
remove
129
ref
subst
53
ref
"_30729"
2
ref
var
1694
def
1017
ref
887
ref
1694
remove
varTerm
appTerm
270
ref
appTerm
1687
ref
appTerm
appTerm
absTerm
1695
def
1662
ref
appTerm
1696
def
appTerm
refl
1695
ref
180
ref
appTerm
betaConv
appThm
104
ref
1696
remove
betaConv
appThm
1017
ref
1101
remove
1687
remove
appTerm
appTerm
refl
appThm
trans
1695
remove
refl
nil
1690
remove
83
ref
53
ref
1662
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
1662
ref
nil
cons
1697
def
cons
1698
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
eqMp
sym
1661
ref
nil
1688
remove
1064
ref
cons
nil
cons
cons
1071
ref
subst
1054
ref
1579
ref
1606
remove
subst
179
ref
nil
74
ref
1659
remove
cons
nil
cons
nil
cons
cons
79
ref
subst
1011
remove
assume
eqMp
appThm
1408
ref
trans
trans
appThm
1699
def
1683
remove
appThm
1699
remove
1684
ref
refl
appThm
1054
ref
1666
ref
nil
74
ref
1249
ref
1181
ref
appTerm
1700
def
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
1109
ref
1700
remove
absTerm
1701
def
1112
ref
appTerm
1702
def
betaConv
1127
ref
284
ref
1701
ref
appTerm
1703
def
absTerm
1704
def
1130
ref
appTerm
1705
def
betaConv
nil
284
ref
1704
ref
appTerm
1706
def
axiom
nil
80
ref
1706
remove
nil
cons
cons
83
ref
1705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1704
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1703
remove
nil
cons
cons
83
ref
1702
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1701
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
subst
appThm
1544
ref
1666
ref
1109
ref
250
ref
906
ref
1181
ref
appTerm
1130
ref
appTerm
appTerm
1112
ref
appTerm
absTerm
1707
def
1112
ref
appTerm
1708
def
betaConv
1127
ref
284
ref
1707
ref
appTerm
1709
def
absTerm
1710
def
1130
ref
appTerm
1711
def
betaConv
nil
284
ref
1710
ref
appTerm
1712
def
axiom
nil
80
ref
1712
remove
nil
cons
cons
83
ref
1711
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1710
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1709
remove
nil
cons
cons
83
ref
1708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1707
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1713
def
subst
appThm
740
ref
appThm
1554
ref
appThm
362
ref
appThm
appThm
1685
ref
refl
appThm
nil
1062
ref
1685
remove
nil
cons
cons
1063
ref
295
ref
909
ref
appTerm
261
ref
appTerm
1714
def
nil
cons
1715
def
cons
nil
cons
cons
nil
cons
cons
1121
ref
subst
trans
appThm
nil
1062
ref
1715
remove
cons
1716
def
1063
ref
1684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
ref
subst
trans
appThm
nil
1716
remove
1063
ref
1682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
ref
subst
trans
trans
appThm
sym
766
remove
9
ref
384
ref
14
ref
288
ref
793
ref
909
ref
appTerm
1717
def
767
ref
appTerm
393
ref
appTerm
appTerm
appTerm
815
ref
447
ref
767
ref
appTerm
909
ref
appTerm
appTerm
767
remove
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1718
def
261
ref
appTerm
1719
def
betaConv
816
ref
909
ref
appTerm
1720
def
betaConv
818
ref
275
ref
appTerm
1721
def
betaConv
820
ref
285
ref
appTerm
1722
def
betaConv
nil
80
ref
849
remove
cons
83
ref
1722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
820
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
819
remove
nil
cons
cons
83
ref
1721
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
818
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
817
remove
nil
cons
cons
83
ref
1720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
816
remove
nil
cons
cons
6
ref
909
ref
nil
cons
1723
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
1718
ref
appTerm
nil
cons
cons
83
ref
1719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1718
remove
nil
cons
cons
337
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
384
ref
14
ref
288
ref
1717
remove
261
ref
appTerm
393
ref
appTerm
appTerm
appTerm
1724
def
815
ref
448
ref
909
ref
appTerm
appTerm
261
ref
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
1017
ref
1714
remove
appTerm
1725
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
302
ref
384
ref
1724
remove
refl
815
remove
refl
1726
def
nil
10
ref
1723
remove
cons
337
ref
cons
nil
cons
cons
10
ref
667
remove
642
remove
32
ref
appTerm
appTerm
absTerm
1727
def
19
ref
appTerm
1728
def
betaConv
6
ref
9
ref
1727
ref
appTerm
1729
def
absTerm
1730
def
32
ref
appTerm
1731
def
betaConv
nil
9
ref
1730
ref
appTerm
1732
def
axiom
nil
80
ref
1732
remove
nil
cons
cons
83
ref
1731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1730
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1729
remove
nil
cons
cons
83
ref
1728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1727
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1733
def
subst
appThm
362
ref
appThm
557
ref
appThm
appThm
absThm
appThm
appThm
1725
remove
refl
appThm
sym
178
ref
302
ref
384
ref
178
ref
759
ref
793
ref
refl
nil
654
remove
348
ref
cons
nil
cons
cons
10
ref
18
ref
908
remove
32
ref
appTerm
19
ref
appTerm
appTerm
665
ref
"Number.GF(p).~"
const
29
remove
constTerm
1734
def
19
ref
appTerm
appTerm
appTerm
absTerm
1735
def
19
ref
appTerm
1736
def
betaConv
6
ref
9
ref
1735
ref
appTerm
1737
def
absTerm
1738
def
32
ref
appTerm
1739
def
betaConv
nil
9
ref
1738
ref
appTerm
1740
def
axiom
nil
80
ref
1740
remove
nil
cons
cons
83
ref
1739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1738
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1737
remove
nil
cons
cons
83
ref
1736
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1735
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1741
def
subst
1742
def
appThm
362
ref
appThm
557
ref
appThm
appThm
appThm
1726
remove
694
ref
1742
ref
appThm
362
ref
appThm
nil
570
remove
10
ref
1734
ref
261
ref
appTerm
1743
def
nil
cons
cons
348
ref
cons
cons
nil
cons
cons
527
ref
18
ref
447
ref
666
remove
appTerm
534
ref
appTerm
appTerm
665
ref
643
remove
appTerm
appTerm
absTerm
1744
def
534
ref
appTerm
1745
def
betaConv
10
ref
9
ref
1744
ref
appTerm
1746
def
absTerm
1747
def
19
ref
appTerm
1748
def
betaConv
6
ref
9
ref
1747
ref
appTerm
1749
def
absTerm
1750
def
32
ref
appTerm
1751
def
betaConv
nil
9
ref
1750
ref
appTerm
1752
def
axiom
nil
80
ref
1752
remove
nil
cons
cons
83
ref
1751
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1750
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1749
remove
nil
cons
cons
83
ref
1748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1747
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1746
remove
nil
cons
cons
83
ref
1745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1744
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1753
def
subst
464
ref
refl
338
ref
6
ref
18
ref
447
remove
1734
ref
32
ref
appTerm
appTerm
32
ref
appTerm
appTerm
25
ref
appTerm
absTerm
1754
def
32
ref
appTerm
1755
def
betaConv
nil
9
ref
1754
ref
appTerm
1756
def
axiom
nil
80
ref
1756
remove
nil
cons
cons
83
ref
1755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1754
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1757
def
subst
appThm
349
ref
6
ref
18
ref
665
remove
25
ref
appTerm
appTerm
32
ref
appTerm
absTerm
1758
def
32
ref
appTerm
1759
def
betaConv
nil
9
ref
1758
ref
appTerm
1760
def
axiom
nil
80
ref
1760
remove
nil
cons
cons
83
ref
1759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
1758
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
1761
def
subst
trans
trans
trans
appThm
362
ref
appThm
557
ref
appThm
appThm
absThm
appThm
appThm
1661
remove
295
ref
refl
1742
remove
appThm
362
ref
appThm
appThm
appThm
sym
nil
80
ref
9
ref
384
ref
14
ref
288
ref
793
remove
464
ref
1743
remove
appTerm
1762
def
appTerm
261
ref
appTerm
1763
def
393
ref
appTerm
appTerm
appTerm
1017
ref
393
ref
appTerm
appTerm
absTerm
1764
def
appTerm
nil
cons
1765
def
cons
1766
def
83
ref
1017
remove
295
remove
1762
ref
appTerm
261
ref
appTerm
1767
def
appTerm
nil
cons
1768
def
cons
nil
cons
1769
def
cons
nil
cons
cons
1770
def
103
ref
subst
1770
remove
129
ref
subst
236
ref
1159
ref
287
ref
assume
appThm
746
ref
appThm
1533
ref
trans
appThm
1771
def
nil
269
ref
1762
remove
nil
cons
cons
nil
cons
nil
cons
cons
1534
ref
subst
appThm
697
ref
trans
sym
78
ref
eqMp
nil
80
ref
288
ref
1763
remove
1767
ref
appTerm
appTerm
nil
cons
cons
1769
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
384
ref
1767
remove
nil
cons
cons
nil
cons
nil
cons
cons
1764
ref
393
ref
appTerm
1772
def
betaConv
nil
1766
remove
83
ref
1772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
1764
remove
nil
cons
cons
1537
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
1765
remove
cons
149
ref
1768
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
147
ref
1689
ref
cons
149
ref
1691
ref
cons
nil
cons
1773
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1697
ref
cons
1692
remove
cons
nil
cons
cons
1774
def
103
ref
subst
1774
remove
129
ref
subst
1542
remove
1662
ref
assume
1775
def
appThm
740
ref
appThm
351
ref
appThm
362
ref
appThm
1054
ref
1159
ref
1775
ref
appThm
746
ref
appThm
1533
ref
trans
appThm
351
ref
appThm
1548
ref
1544
ref
1545
ref
1775
ref
appThm
1546
ref
appThm
appThm
740
ref
appThm
1547
ref
appThm
362
ref
appThm
appThm
1548
remove
1544
ref
1775
ref
appThm
1776
def
1550
remove
appThm
351
ref
appThm
1551
ref
appThm
appThm
1054
ref
1552
remove
1775
ref
appThm
appThm
1544
ref
1553
ref
1775
ref
appThm
740
ref
appThm
appThm
740
ref
appThm
1554
ref
appThm
362
ref
appThm
appThm
1776
remove
1555
remove
1775
remove
appThm
appThm
351
ref
appThm
1556
ref
appThm
appThm
appThm
appThm
appThm
nil
1062
ref
900
remove
929
remove
appTerm
931
remove
appTerm
nil
cons
cons
1064
ref
cons
nil
cons
cons
1121
ref
subst
trans
appThm
963
remove
trans
sym
78
ref
eqMp
eqMp
nil
1698
ref
1773
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
1662
remove
appTerm
1777
def
betaConv
1562
ref
nil
1563
ref
83
ref
1777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1697
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1698
remove
149
ref
1689
remove
cons
1430
ref
1691
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
1651
remove
cons
149
ref
1652
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
1028
remove
nil
cons
cons
83
ref
1044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
487
ref
1043
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
1042
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
1041
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
1040
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
1033
remove
nil
cons
1778
def
cons
83
ref
1039
remove
nil
cons
1779
def
cons
nil
cons
cons
nil
cons
cons
1780
def
103
ref
subst
1780
remove
129
ref
subst
nil
631
remove
149
ref
1032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1781
def
161
ref
subst
1781
remove
200
ref
subst
nil
1076
ref
149
ref
1031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1782
def
161
ref
subst
1782
remove
200
ref
subst
nil
1571
remove
149
ref
1030
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1783
def
161
ref
subst
1783
remove
200
ref
subst
nil
147
ref
1676
ref
cons
1784
def
1084
remove
cons
nil
cons
cons
1785
def
161
ref
subst
1785
remove
200
ref
subst
nil
5
ref
1038
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
269
ref
nil
74
ref
1037
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
1036
remove
nil
cons
cons
nil
cons
nil
cons
cons
73
ref
subst
246
ref
nil
74
ref
1035
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
1034
ref
refl
1786
def
nil
274
ref
467
ref
nil
cons
1787
def
cons
nil
cons
nil
cons
cons
926
remove
subst
appThm
sym
1786
ref
1058
remove
887
ref
250
ref
467
ref
appTerm
1788
def
256
ref
appTerm
1789
def
appTerm
261
ref
appTerm
1790
def
refl
895
ref
897
remove
467
ref
appTerm
898
remove
appTerm
261
ref
appTerm
1791
def
appTerm
1792
def
refl
1054
ref
nil
1578
remove
1127
ref
507
ref
cons
1793
def
nil
cons
1794
def
cons
1795
def
nil
cons
cons
1796
def
1673
ref
subst
53
ref
894
ref
appTerm
1797
def
refl
1677
remove
79
ref
subst
899
ref
assume
eqMp
appThm
1675
remove
1681
ref
subst
trans
trans
appThm
294
ref
896
remove
467
ref
appTerm
387
ref
appTerm
appTerm
270
ref
appTerm
902
remove
appTerm
1798
def
refl
1799
def
appThm
887
ref
903
ref
467
ref
appTerm
1800
def
285
ref
appTerm
1801
def
appTerm
36
remove
907
ref
467
ref
appTerm
appTerm
467
ref
appTerm
909
remove
appTerm
261
ref
appTerm
1802
def
appTerm
294
remove
906
remove
467
ref
appTerm
285
ref
appTerm
appTerm
270
ref
appTerm
1803
def
911
ref
appTerm
1804
def
appTerm
1805
def
refl
1806
def
appThm
appThm
appThm
appThm
nil
1062
ref
1790
remove
1792
remove
895
ref
1798
ref
appTerm
1805
ref
appTerm
appTerm
1807
def
appTerm
1808
def
nil
cons
cons
1064
remove
cons
nil
cons
cons
1071
ref
subst
trans
appThm
sym
nil
80
ref
15
ref
1789
ref
appTerm
nil
cons
1809
def
cons
1810
def
83
ref
1034
ref
1808
remove
appTerm
nil
cons
1811
def
cons
nil
cons
1812
def
cons
nil
cons
cons
1813
def
103
ref
subst
1813
remove
129
ref
subst
53
ref
"_30731"
2
ref
var
1814
def
1034
ref
887
ref
1814
remove
varTerm
appTerm
261
ref
appTerm
1807
ref
appTerm
appTerm
absTerm
1815
def
1789
ref
appTerm
1816
def
appTerm
refl
1815
ref
180
ref
appTerm
betaConv
appThm
104
ref
1816
remove
betaConv
appThm
1034
ref
1595
remove
1807
ref
appTerm
appTerm
refl
appThm
trans
1815
remove
refl
nil
1810
remove
83
ref
53
ref
1789
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
1789
ref
nil
cons
1817
def
cons
1818
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
eqMp
sym
1786
ref
nil
1062
ref
1807
remove
nil
cons
cons
1122
ref
cons
nil
cons
cons
1071
ref
subst
1607
ref
1791
ref
refl
appThm
1607
remove
1799
remove
appThm
1806
remove
appThm
nil
1062
ref
1805
ref
nil
cons
cons
1819
def
1063
ref
1798
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
ref
subst
trans
appThm
nil
1819
remove
1063
ref
1791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
ref
subst
trans
trans
appThm
sym
nil
80
ref
15
ref
1801
ref
appTerm
nil
cons
1820
def
cons
1821
def
83
ref
1034
ref
1805
remove
appTerm
nil
cons
1822
def
cons
nil
cons
1823
def
cons
nil
cons
cons
1824
def
103
ref
subst
1824
remove
129
ref
subst
53
ref
"_30735"
2
ref
var
1825
def
1034
ref
887
remove
1825
remove
varTerm
appTerm
1802
ref
appTerm
1804
ref
appTerm
appTerm
absTerm
1826
def
1801
ref
appTerm
1827
def
appTerm
refl
1826
ref
180
ref
appTerm
betaConv
appThm
104
ref
1827
remove
betaConv
appThm
1034
ref
1100
remove
1802
ref
appTerm
1804
ref
appTerm
appTerm
refl
appThm
trans
1826
remove
refl
nil
1821
remove
83
ref
53
ref
1801
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
1801
ref
nil
cons
1828
def
cons
1829
def
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
eqMp
sym
1786
ref
nil
1062
ref
1804
ref
nil
cons
cons
1063
remove
1802
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1071
remove
subst
appThm
sym
823
ref
911
ref
appTerm
1830
def
betaConv
825
ref
270
ref
appTerm
1831
def
betaConv
827
ref
275
ref
appTerm
1832
def
betaConv
829
ref
285
ref
appTerm
1833
def
betaConv
nil
80
ref
850
remove
cons
83
ref
1833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
829
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
828
remove
nil
cons
cons
83
ref
1832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
827
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
826
remove
nil
cons
cons
83
ref
1831
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
825
remove
nil
cons
cons
348
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
824
remove
nil
cons
cons
83
ref
1830
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
823
remove
nil
cons
cons
6
ref
911
ref
nil
cons
1834
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
384
ref
14
ref
288
ref
794
ref
911
ref
appTerm
393
ref
appTerm
appTerm
appTerm
1835
def
822
ref
464
remove
911
remove
appTerm
appTerm
393
ref
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
1034
ref
1804
remove
appTerm
1836
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
302
ref
384
ref
1835
remove
refl
822
remove
refl
1837
def
nil
10
ref
1834
remove
cons
348
remove
cons
nil
cons
cons
1733
remove
subst
appThm
557
ref
appThm
appThm
absThm
appThm
appThm
1836
remove
refl
appThm
sym
178
ref
302
remove
384
ref
178
ref
759
ref
794
ref
refl
nil
714
remove
337
ref
cons
nil
cons
cons
1741
remove
subst
1838
def
appThm
557
ref
appThm
appThm
appThm
1837
remove
694
remove
1838
ref
appThm
351
ref
appThm
nil
528
remove
10
ref
1734
remove
270
ref
appTerm
1839
def
nil
cons
cons
337
remove
cons
cons
nil
cons
cons
1753
remove
subst
448
ref
refl
349
remove
1757
remove
subst
appThm
338
remove
1761
remove
subst
trans
trans
trans
appThm
557
remove
appThm
appThm
absThm
appThm
appThm
1786
remove
1803
ref
refl
1838
remove
appThm
appThm
appThm
sym
nil
80
ref
9
ref
384
ref
14
ref
288
ref
794
remove
448
remove
1839
remove
appTerm
1840
def
appTerm
1841
def
393
ref
appTerm
appTerm
appTerm
1034
ref
393
ref
appTerm
appTerm
absTerm
1842
def
appTerm
nil
cons
1843
def
cons
1844
def
83
ref
1034
remove
1803
remove
1840
ref
appTerm
1845
def
appTerm
nil
cons
1846
def
cons
nil
cons
1847
def
cons
nil
cons
cons
1848
def
103
ref
subst
1848
remove
129
ref
subst
1771
remove
1841
ref
refl
1649
ref
1796
ref
1713
remove
subst
appThm
351
ref
appThm
1840
ref
refl
appThm
appThm
nil
246
ref
1840
remove
nil
cons
cons
nil
cons
nil
cons
cons
1534
remove
subst
trans
appThm
697
ref
trans
sym
78
ref
eqMp
nil
80
ref
288
ref
1841
remove
1845
ref
appTerm
appTerm
nil
cons
cons
1847
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
384
remove
1845
remove
nil
cons
cons
nil
cons
nil
cons
cons
1842
ref
393
remove
appTerm
1849
def
betaConv
nil
1844
remove
83
ref
1849
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
1842
remove
nil
cons
cons
1537
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
1843
remove
cons
149
ref
1846
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
147
ref
1820
ref
cons
149
ref
1822
ref
cons
nil
cons
1850
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1828
ref
cons
1823
remove
cons
nil
cons
cons
1851
def
103
ref
subst
1851
remove
129
ref
subst
nil
306
remove
187
ref
cons
nil
cons
cons
164
ref
subst
1800
ref
refl
nil
1794
ref
nil
cons
cons
1127
ref
1247
ref
1132
remove
appTerm
1852
def
absTerm
1853
def
1130
ref
appTerm
1854
def
betaConv
301
ref
1127
ref
1852
remove
assume
sym
1133
remove
assume
sym
deductAntisym
absThm
appThm
1137
remove
eqMp
nil
80
ref
284
ref
1853
ref
appTerm
nil
cons
cons
83
ref
1854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1853
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
1801
ref
assume
eqMp
nil
80
ref
1800
remove
466
ref
24
ref
appTerm
appTerm
nil
cons
cons
83
ref
729
ref
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
nil
1229
remove
1795
remove
cons
nil
cons
cons
1228
ref
53
ref
903
ref
1181
ref
appTerm
1234
ref
appTerm
appTerm
1251
ref
1231
ref
appTerm
appTerm
absTerm
1855
def
1231
ref
appTerm
1856
def
betaConv
1109
ref
284
ref
1855
ref
appTerm
1857
def
absTerm
1858
def
1112
ref
appTerm
1859
def
betaConv
1127
ref
284
ref
1858
ref
appTerm
1860
def
absTerm
1861
def
1130
ref
appTerm
1862
def
betaConv
nil
284
ref
1861
ref
appTerm
1863
def
axiom
nil
80
ref
1863
remove
nil
cons
cons
83
ref
1862
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1861
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1860
remove
nil
cons
cons
83
ref
1859
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1858
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1857
remove
nil
cons
cons
83
ref
1856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1855
remove
nil
cons
cons
522
ref
1243
remove
cons
nil
cons
1864
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
nil
1665
ref
nil
cons
cons
1127
ref
53
ref
1249
remove
24
ref
appTerm
appTerm
1481
ref
appTerm
absTerm
1865
def
1130
ref
appTerm
1866
def
betaConv
nil
284
ref
1865
ref
appTerm
1867
def
axiom
nil
80
ref
1867
remove
nil
cons
cons
83
ref
1866
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1865
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
trans
appThm
nil
74
ref
305
remove
cons
nil
cons
nil
cons
cons
1321
ref
subst
appThm
sym
nil
80
ref
890
ref
24
ref
appTerm
1868
def
nil
cons
1869
def
cons
1870
def
83
ref
15
ref
287
remove
appTerm
nil
cons
1871
def
cons
nil
cons
cons
nil
cons
cons
1872
def
103
ref
subst
1872
remove
129
ref
subst
53
ref
"_30733"
21
ref
var
1873
def
15
ref
250
ref
286
ref
1873
remove
varTerm
appTerm
appTerm
256
ref
appTerm
appTerm
absTerm
1874
def
275
ref
appTerm
1875
def
appTerm
refl
1874
ref
24
ref
appTerm
betaConv
appThm
104
ref
1875
remove
betaConv
appThm
15
ref
250
ref
286
ref
24
ref
appTerm
appTerm
256
ref
appTerm
appTerm
refl
appThm
trans
1874
remove
refl
1868
ref
assume
1876
def
appThm
eqMp
sym
179
ref
1159
ref
nil
"a"
21
ref
var
1877
def
507
ref
cons
nil
cons
1878
def
nil
cons
cons
1877
ref
250
ref
253
ref
1877
ref
varTerm
1879
def
appTerm
1880
def
24
ref
appTerm
appTerm
1879
ref
appTerm
absTerm
1881
def
1879
ref
appTerm
1882
def
betaConv
nil
284
ref
1881
ref
appTerm
1883
def
axiom
nil
80
ref
1883
remove
nil
cons
cons
83
ref
1882
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1881
remove
nil
cons
cons
522
ref
1879
ref
nil
cons
cons
nil
cons
1884
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
1885
def
appThm
746
ref
appThm
1057
ref
trans
appThm
217
ref
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
147
ref
1869
ref
cons
1886
def
149
ref
1871
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
147
ref
1822
ref
cons
nil
cons
nil
cons
cons
213
remove
subst
proveHyp
eqMp
nil
1829
ref
1850
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
1801
remove
appTerm
1887
def
betaConv
1562
ref
nil
1563
ref
83
ref
1887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1828
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1829
remove
149
ref
1820
remove
cons
1430
ref
1822
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
147
ref
1809
ref
cons
149
ref
1811
ref
cons
nil
cons
1888
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1817
ref
cons
1812
remove
cons
nil
cons
cons
1889
def
103
ref
subst
1889
remove
129
ref
subst
1645
remove
1789
ref
assume
1890
def
appThm
351
ref
appThm
362
ref
appThm
1054
ref
1159
ref
1890
ref
appThm
746
ref
appThm
1533
ref
trans
appThm
362
ref
appThm
1647
ref
1648
remove
1890
ref
appThm
1547
remove
appThm
362
ref
appThm
appThm
1647
remove
1649
ref
1545
remove
1890
ref
appThm
1546
remove
appThm
appThm
351
ref
appThm
1551
remove
appThm
appThm
1054
remove
903
ref
refl
1890
ref
appThm
285
ref
refl
1891
def
appThm
appThm
1544
remove
907
remove
refl
1890
ref
appThm
appThm
1890
ref
appThm
1554
remove
appThm
362
remove
appThm
appThm
1649
remove
1553
remove
1890
remove
appThm
1891
ref
appThm
appThm
351
remove
appThm
1556
remove
appThm
appThm
appThm
appThm
appThm
nil
1062
remove
1059
remove
895
remove
1060
remove
appTerm
1061
remove
appTerm
appTerm
nil
cons
cons
1122
remove
cons
nil
cons
cons
1121
remove
subst
trans
appThm
1075
remove
trans
sym
78
ref
eqMp
eqMp
nil
1818
ref
1888
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
1789
remove
appTerm
1892
def
betaConv
1562
ref
nil
1563
ref
83
ref
1892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1817
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1818
remove
149
ref
1809
remove
cons
1430
ref
1811
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
1778
remove
cons
149
ref
1779
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
80
ref
92
ref
964
remove
appTerm
1048
remove
appTerm
nil
cons
cons
83
ref
284
ref
282
ref
284
ref
274
ref
729
ref
977
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
236
ref
301
ref
274
ref
282
ref
274
ref
977
remove
absTerm
1893
def
absTerm
1894
def
256
ref
appTerm
betaConv
740
ref
appThm
884
remove
275
ref
appTerm
betaConv
trans
absThm
appThm
appThm
236
ref
301
ref
282
ref
966
ref
refl
1894
ref
285
ref
appTerm
betaConv
1895
def
746
ref
appThm
1893
ref
256
ref
appTerm
betaConv
trans
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
178
ref
749
remove
976
ref
refl
1896
def
1895
ref
740
ref
appThm
1893
ref
275
ref
appTerm
betaConv
trans
1897
def
appThm
appThm
appThm
1894
ref
389
ref
appTerm
betaConv
740
ref
appThm
274
ref
986
remove
absTerm
275
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
178
ref
755
remove
992
ref
refl
1898
def
995
ref
refl
1899
def
1897
ref
appThm
appThm
appThm
appThm
1895
ref
756
remove
appThm
1893
ref
420
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
236
ref
301
ref
282
ref
301
ref
274
ref
178
ref
759
ref
1010
ref
refl
1896
remove
1012
ref
refl
1897
ref
appThm
appThm
appThm
appThm
appThm
1894
ref
444
ref
appTerm
betaConv
740
ref
appThm
761
ref
9
ref
269
remove
9
ref
246
remove
814
remove
762
ref
appTerm
270
ref
appTerm
261
ref
appTerm
1018
remove
762
ref
appTerm
270
remove
appTerm
261
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
275
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
301
ref
282
ref
301
ref
274
ref
178
ref
759
remove
1898
remove
1899
remove
1029
ref
refl
1897
ref
appThm
appThm
appThm
appThm
appThm
1895
remove
769
ref
appThm
1893
remove
467
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
301
ref
282
ref
301
ref
274
ref
772
remove
1897
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
"p"
249
ref
var
1900
def
1894
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
80
ref
92
ref
284
ref
274
ref
1900
ref
varTerm
1901
def
256
ref
appTerm
275
ref
appTerm
1902
def
absTerm
1903
def
appTerm
1904
def
appTerm
92
ref
284
ref
282
ref
966
remove
1901
ref
285
ref
appTerm
1905
def
256
ref
appTerm
1906
def
appTerm
absTerm
1907
def
appTerm
1908
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
391
remove
976
ref
1905
ref
275
ref
appTerm
1909
def
appTerm
appTerm
appTerm
1901
ref
389
remove
appTerm
275
ref
appTerm
appTerm
absTerm
1910
def
appTerm
1911
def
absTerm
1912
def
appTerm
1913
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
422
remove
992
ref
995
ref
1909
ref
appTerm
appTerm
appTerm
appTerm
1905
ref
420
remove
appTerm
appTerm
absTerm
1914
def
appTerm
1915
def
absTerm
1916
def
appTerm
1917
def
appTerm
92
ref
284
ref
282
ref
284
ref
274
ref
14
ref
288
ref
1010
remove
976
ref
1012
ref
1909
ref
appTerm
appTerm
appTerm
appTerm
appTerm
1901
ref
444
remove
appTerm
275
ref
appTerm
appTerm
absTerm
1918
def
appTerm
1919
def
absTerm
1920
def
appTerm
1921
def
appTerm
284
ref
282
ref
284
ref
274
ref
14
ref
288
remove
992
ref
995
ref
1029
remove
1909
ref
appTerm
appTerm
appTerm
appTerm
appTerm
1905
ref
467
ref
appTerm
appTerm
absTerm
1922
def
appTerm
1923
def
absTerm
1924
def
appTerm
1925
def
appTerm
1926
def
appTerm
1927
def
appTerm
1928
def
appTerm
1929
def
appTerm
1930
def
nil
cons
1931
def
cons
83
ref
284
ref
282
ref
284
ref
274
ref
729
remove
1909
remove
appTerm
1932
def
absTerm
1933
def
appTerm
1934
def
absTerm
1935
def
appTerm
1936
def
nil
cons
1937
def
cons
nil
cons
cons
nil
cons
cons
1938
def
103
ref
subst
1938
remove
129
ref
subst
nil
147
ref
1904
remove
nil
cons
1939
def
cons
149
ref
1929
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1940
def
161
ref
subst
1940
remove
200
ref
subst
nil
147
ref
1908
remove
nil
cons
1941
def
cons
149
ref
1928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1942
def
161
ref
subst
1942
remove
200
ref
subst
nil
147
ref
1913
remove
nil
cons
1943
def
cons
149
ref
1927
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1944
def
161
ref
subst
1944
remove
200
ref
subst
nil
147
ref
1917
remove
nil
cons
1945
def
cons
149
ref
1926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1946
def
161
ref
subst
1946
remove
200
ref
subst
nil
147
ref
1921
remove
nil
cons
1947
def
cons
149
ref
1925
remove
nil
cons
1948
def
cons
nil
cons
cons
nil
cons
cons
1949
def
161
ref
subst
1949
remove
200
ref
subst
nil
487
ref
1935
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
1934
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
1933
ref
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
1932
ref
nil
cons
1950
def
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
282
ref
284
ref
274
ref
14
ref
284
ref
1127
ref
14
ref
1286
ref
467
ref
appTerm
1951
def
appTerm
284
ref
282
ref
284
ref
274
ref
14
ref
1247
ref
467
ref
appTerm
appTerm
1932
ref
appTerm
absTerm
appTerm
absTerm
1952
def
appTerm
1953
def
appTerm
absTerm
appTerm
appTerm
1932
ref
appTerm
1954
def
absTerm
1955
def
appTerm
1956
def
absTerm
1957
def
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
282
ref
nil
74
ref
1956
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
487
ref
1955
remove
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
274
ref
nil
74
ref
1954
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
178
ref
104
ref
301
ref
1127
ref
178
ref
1127
ref
1951
remove
absTerm
1958
def
1130
ref
appTerm
betaConv
appThm
1959
def
301
ref
282
ref
1127
ref
1952
ref
absTerm
1960
def
1130
ref
appTerm
betaConv
1961
def
1891
ref
appThm
1952
ref
285
ref
appTerm
betaConv
trans
absThm
appThm
appThm
absThm
appThm
appThm
301
ref
"u'"
21
ref
var
1962
def
301
ref
1127
ref
1959
ref
1961
remove
1962
ref
varTerm
1963
def
refl
appThm
1952
remove
1963
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
487
ref
1958
ref
nil
cons
cons
1964
def
"Q"
249
ref
var
1965
def
1960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"B"
37
remove
cons
381
ref
cons
51
ref
cons
nil
80
ref
53
ref
57
ref
63
ref
14
ref
169
ref
appTerm
1966
def
7
ref
0
ref
0
ref
934
ref
3
ref
cons
opType
1967
def
3
ref
cons
opType
1968
def
constTerm
1969
def
936
ref
"Q"
0
ref
54
ref
1967
ref
nil
cons
cons
opType
var
varTerm
1970
def
168
ref
appTerm
1971
def
937
ref
appTerm
1972
def
absTerm
1973
def
appTerm
1974
def
appTerm
absTerm
1975
def
appTerm
1976
def
appTerm
1969
ref
936
ref
57
ref
63
ref
1966
ref
1972
ref
appTerm
absTerm
1977
def
appTerm
absTerm
1978
def
appTerm
1979
def
appTerm
1980
def
nil
cons
cons
nil
cons
nil
cons
cons
1329
ref
subst
sym
nil
80
ref
15
ref
1980
remove
appTerm
1981
def
nil
cons
1982
def
cons
187
ref
cons
nil
cons
cons
1983
def
103
ref
subst
1983
remove
129
ref
subst
nil
80
ref
1976
remove
nil
cons
cons
83
ref
1979
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1368
ref
83
ref
53
ref
15
ref
189
ref
appTerm
appTerm
585
ref
93
ref
1371
ref
appTerm
1984
def
appTerm
1370
remove
89
ref
appTerm
appTerm
appTerm
nil
cons
1985
def
cons
nil
cons
1986
def
cons
nil
cons
cons
1987
def
103
ref
subst
1987
remove
129
ref
subst
53
ref
"_550"
2
ref
var
1988
def
53
ref
15
ref
53
ref
1988
remove
varTerm
1989
def
appTerm
89
ref
appTerm
appTerm
appTerm
585
ref
92
ref
1989
ref
appTerm
1371
ref
appTerm
appTerm
92
ref
15
ref
1989
remove
appTerm
appTerm
89
ref
appTerm
appTerm
appTerm
absTerm
1990
def
87
ref
appTerm
1991
def
appTerm
refl
1992
def
1990
ref
180
ref
appTerm
betaConv
appThm
104
ref
1991
remove
betaConv
appThm
1993
def
53
ref
15
ref
207
remove
89
ref
appTerm
appTerm
appTerm
585
ref
1410
ref
1371
ref
appTerm
1994
def
appTerm
1381
remove
89
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1990
remove
refl
1995
def
1383
ref
appThm
eqMp
sym
104
ref
179
ref
126
ref
1419
ref
subst
appThm
126
ref
1325
ref
subst
trans
appThm
598
ref
1415
ref
appThm
1385
remove
98
ref
appThm
126
ref
245
ref
subst
trans
appThm
1384
ref
trans
appThm
nil
331
ref
nil
cons
cons
1328
ref
subst
1996
def
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1391
ref
149
ref
1985
ref
cons
nil
cons
1997
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
1395
ref
1986
remove
cons
nil
cons
cons
1998
def
103
ref
subst
1998
remove
129
ref
subst
1992
remove
"_548"
2
ref
var
1999
def
53
ref
15
ref
53
ref
1999
remove
varTerm
2000
def
appTerm
89
ref
appTerm
appTerm
appTerm
585
ref
92
ref
2000
ref
appTerm
1371
ref
appTerm
appTerm
92
ref
15
ref
2000
remove
appTerm
appTerm
89
ref
appTerm
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
1993
remove
53
ref
15
ref
53
ref
64
ref
appTerm
2001
def
89
ref
appTerm
appTerm
appTerm
585
ref
241
ref
1371
ref
appTerm
2002
def
appTerm
1401
remove
89
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1995
remove
1402
ref
appThm
eqMp
sym
104
ref
179
ref
126
ref
74
ref
53
ref
2001
remove
75
ref
appTerm
appTerm
75
ref
appTerm
absTerm
2003
def
75
ref
appTerm
2004
def
betaConv
nil
208
ref
2003
ref
appTerm
2005
def
axiom
nil
80
ref
2005
remove
nil
cons
cons
83
ref
2004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2003
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2006
def
subst
appThm
appThm
598
ref
1389
ref
appThm
1409
remove
98
ref
appThm
126
ref
1414
ref
subst
trans
appThm
1388
remove
74
ref
53
ref
1558
remove
180
ref
appTerm
appTerm
75
ref
appTerm
absTerm
2007
def
75
ref
appTerm
2008
def
betaConv
nil
208
ref
2007
ref
appTerm
2009
def
axiom
nil
80
ref
2009
remove
nil
cons
cons
83
ref
2008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2007
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
trans
appThm
1390
ref
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1421
ref
1997
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1428
ref
nil
1421
ref
1429
ref
1430
ref
1985
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
2010
def
subst
598
ref
236
ref
57
ref
refl
2011
def
63
ref
nil
80
ref
170
ref
cons
2012
def
83
ref
1974
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2013
def
nil
1368
ref
83
ref
91
remove
585
ref
1316
remove
appTerm
89
ref
appTerm
appTerm
nil
cons
2014
def
cons
nil
cons
2015
def
cons
nil
cons
cons
2016
def
103
ref
subst
2016
remove
129
ref
subst
53
ref
"_538"
2
ref
var
2017
def
53
ref
14
ref
2017
remove
varTerm
2018
def
appTerm
89
ref
appTerm
appTerm
585
ref
15
ref
2018
remove
appTerm
appTerm
89
ref
appTerm
appTerm
absTerm
2019
def
87
ref
appTerm
2020
def
appTerm
refl
2021
def
2019
ref
180
ref
appTerm
betaConv
appThm
104
ref
2020
remove
betaConv
appThm
2022
def
53
ref
203
ref
89
ref
appTerm
2023
def
appTerm
585
ref
216
remove
appTerm
2024
def
89
ref
appTerm
appTerm
refl
appThm
trans
2019
remove
refl
2025
def
1383
ref
appThm
eqMp
sym
104
ref
126
ref
74
ref
53
ref
203
remove
75
ref
appTerm
appTerm
64
ref
appTerm
absTerm
2026
def
75
ref
appTerm
2027
def
betaConv
nil
208
ref
2026
ref
appTerm
2028
def
axiom
nil
80
ref
2028
remove
nil
cons
cons
83
ref
2027
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2026
remove
nil
cons
cons
225
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2029
def
subst
2030
def
appThm
598
ref
217
ref
appThm
2031
def
98
ref
appThm
1407
remove
trans
appThm
374
ref
2006
remove
subst
2032
def
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1391
ref
149
ref
2014
ref
cons
nil
cons
2033
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
1395
ref
2015
remove
cons
nil
cons
cons
2034
def
103
ref
subst
2034
remove
129
ref
subst
2021
remove
"_536"
2
ref
var
2035
def
53
ref
14
ref
2035
remove
varTerm
2036
def
appTerm
89
ref
appTerm
appTerm
585
ref
15
ref
2036
remove
appTerm
appTerm
89
ref
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
2022
remove
53
ref
220
remove
89
ref
appTerm
2037
def
appTerm
585
ref
1400
remove
appTerm
2038
def
89
ref
appTerm
appTerm
refl
appThm
trans
2025
remove
1402
ref
appThm
eqMp
sym
104
ref
126
remove
226
remove
subst
2039
def
appThm
598
ref
1408
ref
appThm
2040
def
98
remove
appThm
1384
remove
trans
appThm
1996
remove
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1421
ref
2033
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1428
ref
nil
1421
ref
1429
ref
1430
ref
2014
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
2041
def
subst
absThm
appThm
appThm
nil
"P"
1967
ref
var
2042
def
1978
ref
nil
cons
cons
nil
cons
nil
cons
cons
941
ref
104
ref
179
ref
2011
ref
1458
remove
appThm
appThm
appThm
1444
ref
1460
remove
appTerm
refl
appThm
sym
1461
remove
61
ref
53
ref
15
ref
57
ref
1463
remove
appTerm
appTerm
appTerm
1444
ref
1465
remove
appTerm
appTerm
absTerm
2043
def
62
ref
appTerm
2044
def
betaConv
nil
864
ref
2043
ref
appTerm
2045
def
axiom
nil
80
ref
2045
remove
nil
cons
cons
83
ref
2044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2043
remove
nil
cons
cons
1469
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
2046
def
subst
2047
def
subst
1288
ref
1968
remove
constTerm
2048
def
refl
2049
def
936
ref
179
ref
1978
remove
937
ref
appTerm
betaConv
appThm
nil
58
ref
1977
ref
nil
cons
cons
nil
cons
nil
cons
cons
2046
ref
subst
1445
ref
63
ref
179
ref
1977
remove
168
ref
appTerm
betaConv
appThm
nil
2012
ref
83
ref
1972
ref
nil
cons
2050
def
cons
nil
cons
cons
nil
cons
cons
2051
def
nil
1368
remove
83
ref
53
ref
15
ref
90
remove
appTerm
appTerm
1984
remove
appTerm
nil
cons
2052
def
cons
nil
cons
2053
def
cons
nil
cons
cons
2054
def
103
ref
subst
2054
remove
129
ref
subst
53
ref
"_542"
2
ref
var
2055
def
53
ref
15
ref
14
ref
2055
remove
varTerm
2056
def
appTerm
89
ref
appTerm
appTerm
appTerm
92
ref
2056
remove
appTerm
1371
ref
appTerm
appTerm
absTerm
2057
def
87
ref
appTerm
2058
def
appTerm
refl
2059
def
2057
ref
180
ref
appTerm
betaConv
appThm
104
ref
2058
remove
betaConv
appThm
2060
def
53
ref
15
ref
2023
remove
appTerm
appTerm
1994
remove
appTerm
refl
appThm
trans
2057
remove
refl
2061
def
1383
remove
appThm
eqMp
sym
104
ref
179
ref
2030
remove
appThm
1408
remove
trans
appThm
1415
remove
appThm
1420
remove
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1391
remove
149
ref
2052
ref
cons
nil
cons
2062
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
1395
remove
2053
remove
cons
nil
cons
cons
2063
def
103
ref
subst
2063
remove
129
ref
subst
2059
remove
"_540"
2
ref
var
2064
def
53
ref
15
ref
14
ref
2064
remove
varTerm
2065
def
appTerm
89
ref
appTerm
appTerm
appTerm
92
ref
2065
remove
appTerm
1371
remove
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
2060
remove
53
ref
15
ref
2037
remove
appTerm
appTerm
2002
remove
appTerm
refl
appThm
trans
2061
remove
1402
remove
appThm
eqMp
sym
104
ref
179
ref
2039
remove
appThm
appThm
1389
remove
appThm
1390
remove
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
1421
ref
2062
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1428
remove
nil
1421
remove
1429
remove
1430
ref
2052
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
2066
def
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
appThm
236
ref
nil
58
ref
1975
ref
nil
cons
cons
nil
cons
nil
cons
cons
2046
ref
subst
1445
ref
63
ref
179
ref
1975
remove
168
ref
appTerm
betaConv
appThm
2013
remove
2066
ref
subst
236
ref
169
ref
refl
appThm
2067
def
nil
2042
ref
1973
ref
nil
cons
2068
def
cons
nil
cons
nil
cons
cons
2047
remove
subst
2049
ref
936
ref
179
ref
1973
remove
937
ref
appTerm
betaConv
2069
def
appThm
absThm
appThm
trans
appThm
trans
trans
absThm
appThm
trans
appThm
1969
ref
refl
2070
def
936
ref
2011
ref
63
ref
2051
remove
2041
ref
subst
absThm
appThm
absThm
appThm
appThm
appThm
trans
598
ref
104
ref
92
ref
57
ref
63
ref
585
ref
1459
ref
appTerm
2071
def
1974
remove
appTerm
absTerm
appTerm
2072
def
appTerm
2073
def
refl
2074
def
2049
ref
936
ref
936
ref
1444
ref
63
ref
92
ref
169
ref
appTerm
2075
def
15
ref
1972
ref
appTerm
2076
def
appTerm
2077
def
absTerm
2078
def
appTerm
absTerm
2079
def
937
ref
appTerm
betaConv
2080
def
absThm
appThm
appThm
appThm
2049
ref
936
ref
2074
ref
2080
remove
appThm
absThm
appThm
appThm
nil
"q"
1967
ref
var
2081
def
2079
remove
nil
cons
cons
80
ref
2072
remove
nil
cons
2082
def
cons
nil
cons
2083
def
cons
nil
cons
cons
941
ref
857
ref
53
ref
93
ref
1444
ref
860
remove
appTerm
2084
def
appTerm
appTerm
1444
ref
63
ref
93
remove
859
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2085
def
858
ref
appTerm
2086
def
betaConv
80
ref
864
ref
2085
ref
appTerm
2087
def
absTerm
2088
def
87
ref
appTerm
2089
def
betaConv
nil
208
ref
2088
ref
appTerm
2090
def
axiom
nil
80
ref
2090
remove
nil
cons
cons
83
ref
2089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2088
remove
nil
cons
cons
330
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2087
remove
nil
cons
cons
83
ref
2086
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2085
remove
nil
cons
cons
872
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2091
def
subst
2092
def
subst
eqMp
2049
ref
936
ref
104
ref
2074
ref
1445
ref
63
ref
2078
ref
168
ref
appTerm
betaConv
2093
def
absThm
appThm
appThm
appThm
1445
ref
63
ref
2074
remove
2093
remove
appThm
absThm
appThm
appThm
nil
857
ref
2078
remove
nil
cons
cons
2083
remove
cons
nil
cons
cons
2091
remove
subst
eqMp
absThm
appThm
trans
appThm
236
ref
1445
ref
63
ref
104
ref
2067
ref
2049
ref
936
ref
936
ref
2076
ref
absTerm
2094
def
937
ref
appTerm
betaConv
2095
def
absThm
appThm
appThm
appThm
2049
ref
936
ref
2067
remove
2095
remove
appThm
absThm
appThm
appThm
nil
2081
ref
2094
remove
nil
cons
cons
2012
ref
nil
cons
cons
nil
cons
cons
2092
remove
subst
eqMp
absThm
appThm
appThm
1969
ref
936
ref
57
ref
63
ref
2071
ref
1972
remove
appTerm
2096
def
absTerm
appTerm
absTerm
2097
def
appTerm
2098
def
refl
2099
def
appThm
104
ref
236
ref
1445
ref
63
ref
63
ref
2048
ref
936
ref
2077
ref
absTerm
2100
def
appTerm
absTerm
2101
def
168
ref
appTerm
betaConv
2102
def
absThm
appThm
appThm
2099
ref
appThm
appThm
1445
ref
63
ref
236
ref
2102
remove
appThm
2099
ref
appThm
absThm
appThm
appThm
nil
61
ref
2101
remove
nil
cons
cons
83
ref
2098
ref
nil
cons
2103
def
cons
nil
cons
2104
def
cons
nil
cons
cons
83
ref
53
ref
92
ref
1464
ref
appTerm
89
ref
appTerm
appTerm
1444
ref
63
ref
92
ref
1462
ref
appTerm
89
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2105
def
89
ref
appTerm
2106
def
betaConv
61
ref
208
ref
2105
ref
appTerm
2107
def
absTerm
2108
def
62
ref
appTerm
2109
def
betaConv
nil
864
ref
2108
ref
appTerm
2110
def
axiom
nil
80
ref
2110
remove
nil
cons
cons
83
ref
2109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2108
remove
nil
cons
cons
1469
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2107
remove
nil
cons
cons
83
ref
2106
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2105
remove
nil
cons
cons
331
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2111
def
subst
eqMp
1445
ref
63
ref
104
ref
236
ref
2049
ref
936
ref
2100
ref
937
ref
appTerm
betaConv
2112
def
absThm
appThm
appThm
2099
ref
appThm
appThm
2049
ref
936
ref
236
ref
2112
remove
appThm
2099
remove
appThm
absThm
appThm
appThm
nil
"p"
1967
remove
var
2113
def
2100
remove
nil
cons
cons
2104
remove
cons
nil
cons
cons
941
ref
2111
ref
subst
subst
eqMp
absThm
appThm
trans
trans
appThm
104
ref
598
ref
2049
ref
936
ref
936
ref
1444
ref
63
ref
2073
remove
2077
ref
appTerm
2114
def
absTerm
2115
def
appTerm
absTerm
2116
def
937
ref
appTerm
betaConv
2117
def
absThm
appThm
appThm
1444
ref
63
ref
2048
ref
936
ref
92
ref
2077
ref
appTerm
2098
ref
appTerm
absTerm
2118
def
appTerm
absTerm
2119
def
appTerm
2120
def
refl
2121
def
appThm
appThm
2049
ref
936
ref
598
ref
2117
remove
appThm
2121
remove
appThm
absThm
appThm
appThm
nil
2113
remove
2116
remove
nil
cons
cons
83
ref
2120
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
941
ref
83
ref
53
ref
585
ref
1464
remove
appTerm
2122
def
89
ref
appTerm
appTerm
1444
ref
63
ref
585
ref
1462
ref
appTerm
2123
def
89
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2124
def
89
ref
appTerm
2125
def
betaConv
61
ref
208
ref
2124
ref
appTerm
2126
def
absTerm
2127
def
62
ref
appTerm
2128
def
betaConv
nil
864
ref
2127
ref
appTerm
2129
def
axiom
nil
80
ref
2129
remove
nil
cons
cons
83
ref
2128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2127
remove
nil
cons
cons
1469
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2126
remove
nil
cons
cons
83
ref
2125
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2124
remove
nil
cons
cons
331
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
subst
eqMp
2049
ref
936
ref
104
ref
598
ref
1445
ref
63
ref
2115
ref
168
ref
appTerm
betaConv
2130
def
absThm
appThm
appThm
1445
ref
63
ref
2119
ref
168
ref
appTerm
betaConv
2131
def
absThm
appThm
appThm
appThm
1445
ref
63
ref
598
ref
2130
remove
appThm
2131
remove
appThm
absThm
appThm
appThm
nil
61
ref
2115
remove
nil
cons
cons
857
ref
2119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
857
ref
53
ref
2122
remove
2084
ref
appTerm
appTerm
1444
ref
63
ref
2123
remove
859
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2132
def
858
ref
appTerm
2133
def
betaConv
61
ref
864
ref
2132
ref
appTerm
2134
def
absTerm
2135
def
62
remove
appTerm
2136
def
betaConv
nil
864
ref
2135
ref
appTerm
2137
def
axiom
nil
80
ref
2137
remove
nil
cons
cons
83
ref
2136
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2135
remove
nil
cons
cons
1469
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2134
remove
nil
cons
cons
83
ref
2133
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2132
remove
nil
cons
cons
872
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
1445
ref
63
ref
104
ref
585
ref
2114
ref
appTerm
2138
def
refl
2139
def
2049
ref
936
ref
2118
ref
937
ref
appTerm
betaConv
absThm
appThm
appThm
appThm
2049
remove
"y'"
934
ref
var
2140
def
2139
remove
2118
ref
2140
ref
varTerm
2141
def
appTerm
betaConv
appThm
absThm
appThm
appThm
nil
2081
ref
2118
remove
nil
cons
cons
80
ref
2114
remove
nil
cons
2142
def
cons
2143
def
nil
cons
cons
nil
cons
cons
941
ref
857
ref
53
ref
1369
ref
2084
remove
appTerm
appTerm
1444
ref
63
ref
1369
ref
859
remove
appTerm
absTerm
2144
def
appTerm
appTerm
absTerm
2145
def
858
ref
appTerm
2146
def
betaConv
80
ref
864
ref
2145
ref
appTerm
2147
def
absTerm
2148
def
87
ref
appTerm
2149
def
betaConv
nil
208
ref
2148
ref
appTerm
2150
def
axiom
nil
80
ref
2150
remove
nil
cons
cons
83
ref
2149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2148
remove
nil
cons
cons
330
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2147
remove
nil
cons
cons
83
ref
2146
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2145
remove
nil
cons
cons
872
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2151
def
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
1981
remove
assume
eqMp
nil
80
ref
2048
ref
936
ref
1444
ref
63
ref
2048
remove
2140
ref
2138
remove
92
ref
2075
remove
15
ref
1971
ref
2141
ref
appTerm
2152
def
appTerm
2153
def
appTerm
2154
def
appTerm
2098
remove
appTerm
2155
def
appTerm
2156
def
absTerm
2157
def
appTerm
2158
def
absTerm
2159
def
appTerm
2160
def
absTerm
2161
def
appTerm
2162
def
nil
cons
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
2042
ref
936
ref
14
ref
2161
ref
937
ref
appTerm
2163
def
appTerm
180
ref
appTerm
2164
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
941
ref
72
ref
subst
2165
def
subst
936
ref
nil
74
ref
2164
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2163
ref
nil
cons
2166
def
cons
187
ref
cons
nil
cons
cons
2167
def
103
ref
subst
2167
remove
129
ref
subst
2163
ref
betaConv
2163
remove
assume
eqMp
nil
80
ref
2160
ref
nil
cons
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
58
ref
63
ref
14
ref
2159
ref
168
ref
appTerm
2168
def
appTerm
180
ref
appTerm
2169
def
absTerm
2170
def
nil
cons
cons
nil
cons
nil
cons
cons
72
ref
subst
63
ref
nil
74
ref
2169
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2168
ref
nil
cons
2171
def
cons
187
ref
cons
nil
cons
cons
2172
def
103
ref
subst
2172
remove
129
ref
subst
2168
ref
betaConv
2168
remove
assume
eqMp
nil
80
ref
2158
ref
nil
cons
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
2042
ref
2140
ref
14
ref
2157
ref
2141
ref
appTerm
2173
def
appTerm
180
ref
appTerm
2174
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2165
remove
subst
2140
remove
nil
74
ref
2174
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2173
ref
nil
cons
2175
def
cons
187
ref
cons
nil
cons
cons
2176
def
103
ref
subst
2176
remove
129
ref
subst
2173
ref
betaConv
2173
remove
assume
eqMp
nil
80
ref
2156
remove
nil
cons
2177
def
cons
187
ref
cons
nil
cons
cons
2178
def
164
ref
subst
proveHyp
2178
ref
103
ref
subst
2178
remove
129
ref
subst
nil
80
ref
2155
remove
nil
cons
2179
def
cons
187
ref
cons
nil
cons
cons
2180
def
103
ref
subst
2180
remove
129
ref
subst
nil
"_14619"
934
ref
var
2181
def
2141
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
147
ref
2154
remove
nil
cons
cons
149
ref
2103
ref
cons
nil
cons
cons
nil
cons
cons
2182
def
161
ref
subst
2183
def
nil
147
ref
170
remove
cons
2184
def
149
ref
2153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2185
def
161
ref
subst
proveHyp
nil
2012
ref
83
ref
1971
ref
2181
remove
varTerm
2186
def
appTerm
2187
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_14620"
54
ref
var
2188
def
168
ref
nil
cons
2189
def
cons
nil
cons
nil
cons
cons
nil
"b"
2
ref
var
2190
def
15
ref
59
ref
2188
remove
varTerm
2191
def
appTerm
2192
def
appTerm
nil
cons
2193
def
cons
"a"
2
ref
var
2194
def
1970
ref
2191
ref
appTerm
2186
ref
appTerm
2195
def
nil
cons
2196
def
cons
nil
cons
cons
nil
cons
cons
nil
80
ref
53
ref
2194
ref
varTerm
2197
def
appTerm
2198
def
180
ref
appTerm
2199
def
nil
cons
2200
def
cons
2201
def
83
ref
53
ref
585
ref
2197
ref
appTerm
2190
ref
varTerm
2202
def
appTerm
appTerm
14
ref
15
ref
2202
ref
appTerm
2203
def
appTerm
2204
def
2197
ref
appTerm
appTerm
nil
cons
2205
def
cons
nil
cons
2206
def
cons
nil
cons
cons
2207
def
103
ref
subst
2207
remove
129
ref
subst
53
ref
"_606"
2
ref
var
2208
def
53
ref
585
ref
2208
remove
varTerm
2209
def
appTerm
2202
ref
appTerm
appTerm
2204
ref
2209
remove
appTerm
appTerm
absTerm
2210
def
2197
ref
appTerm
2211
def
appTerm
refl
2212
def
2210
ref
180
ref
appTerm
betaConv
appThm
104
ref
2211
remove
betaConv
appThm
2213
def
53
ref
604
remove
2202
ref
appTerm
appTerm
2204
ref
180
ref
appTerm
appTerm
refl
appThm
trans
2210
remove
refl
2214
def
2199
remove
assume
2215
def
appThm
eqMp
sym
104
ref
nil
74
ref
2202
ref
nil
cons
2216
def
cons
nil
cons
nil
cons
cons
2217
def
608
ref
subst
appThm
nil
74
ref
2203
ref
nil
cons
2218
def
cons
nil
cons
nil
cons
cons
2219
def
1321
ref
subst
2217
ref
1325
ref
subst
trans
appThm
nil
212
ref
2216
remove
cons
nil
cons
nil
cons
cons
1328
ref
subst
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
147
ref
2200
ref
cons
2220
def
149
ref
2205
ref
cons
nil
cons
2221
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
2198
remove
64
ref
appTerm
2222
def
nil
cons
2223
def
cons
2224
def
2206
remove
cons
nil
cons
cons
2225
def
103
ref
subst
2225
remove
129
ref
subst
2212
remove
"_604"
2
ref
var
2226
def
53
ref
585
ref
2226
remove
varTerm
2227
def
appTerm
2202
ref
appTerm
appTerm
2204
ref
2227
remove
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
2213
remove
53
ref
1399
remove
2202
ref
appTerm
appTerm
2204
remove
64
ref
appTerm
appTerm
refl
appThm
trans
2214
remove
2222
remove
assume
2228
def
appThm
eqMp
sym
104
ref
2217
ref
1406
ref
subst
appThm
2219
ref
74
ref
53
ref
369
remove
64
ref
appTerm
appTerm
64
ref
appTerm
absTerm
2229
def
75
ref
appTerm
2230
def
betaConv
nil
208
ref
2229
ref
appTerm
2231
def
axiom
nil
80
ref
2231
remove
nil
cons
cons
83
ref
2230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2229
remove
nil
cons
cons
225
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2232
def
subst
appThm
2032
ref
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
147
ref
2223
remove
cons
2233
def
2221
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1422
remove
2197
ref
appTerm
2234
def
betaConv
1425
remove
nil
1426
remove
83
ref
2234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1427
remove
212
ref
2197
ref
nil
cons
2235
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2236
def
nil
2233
ref
149
ref
2200
remove
cons
2237
def
1430
ref
2205
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
2238
def
subst
178
ref
nil
2194
ref
2192
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
74
ref
2235
remove
cons
nil
cons
nil
cons
cons
1325
ref
subst
2239
def
subst
appThm
2195
remove
refl
appThm
trans
nil
83
ref
2196
remove
cons
80
ref
2193
remove
cons
nil
cons
cons
nil
cons
cons
nil
1261
ref
125
remove
cons
1262
ref
122
remove
cons
nil
cons
cons
nil
cons
cons
1261
ref
53
ref
585
ref
1263
ref
appTerm
1264
ref
appTerm
2240
def
appTerm
585
ref
1264
ref
appTerm
1263
ref
appTerm
appTerm
absTerm
2241
def
1264
ref
appTerm
2242
def
betaConv
1262
ref
208
ref
2241
ref
appTerm
2243
def
absTerm
2244
def
1263
ref
appTerm
2245
def
betaConv
nil
208
ref
2244
ref
appTerm
2246
def
axiom
nil
80
ref
2246
remove
nil
cons
cons
83
ref
2245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2244
remove
nil
cons
cons
1273
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2243
remove
nil
cons
cons
83
ref
2242
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2241
remove
nil
cons
cons
1274
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
2247
def
subst
63
ref
2071
remove
2187
remove
appTerm
absTerm
2248
def
2191
ref
appTerm
2249
def
betaConv
2097
ref
2186
ref
appTerm
2250
def
betaConv
2182
remove
200
ref
subst
nil
80
ref
2103
remove
cons
83
ref
2250
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
940
ref
2042
ref
2097
remove
nil
cons
cons
"x"
934
ref
var
2251
def
2186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
57
ref
2248
ref
appTerm
nil
cons
cons
83
ref
2249
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2248
remove
nil
cons
cons
63
ref
2191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
80
ref
2152
remove
nil
cons
cons
2252
def
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
2252
remove
nil
cons
nil
cons
cons
1363
ref
subst
2183
remove
2185
remove
200
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
147
ref
2179
ref
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
2143
remove
187
ref
cons
nil
cons
cons
2253
def
103
ref
subst
2253
remove
129
ref
subst
nil
"_14618"
934
remove
var
2254
def
939
remove
cons
nil
cons
nil
cons
cons
nil
147
ref
2082
remove
cons
149
ref
2077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2255
def
200
ref
subst
2256
def
nil
2184
remove
149
ref
2076
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2257
def
161
ref
subst
proveHyp
nil
2012
ref
83
ref
1971
remove
2254
remove
varTerm
2258
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_14617"
54
ref
var
2259
def
2189
ref
cons
nil
cons
nil
cons
cons
nil
2190
ref
15
ref
59
ref
2259
remove
varTerm
2260
def
appTerm
2261
def
appTerm
2262
def
nil
cons
2263
def
cons
2194
ref
1970
remove
2260
ref
appTerm
2264
def
2258
ref
appTerm
2265
def
nil
cons
2266
def
cons
nil
cons
cons
nil
cons
cons
2238
remove
subst
178
ref
nil
2194
ref
2261
remove
nil
cons
cons
nil
cons
nil
cons
cons
2239
remove
subst
appThm
2265
remove
refl
appThm
trans
nil
83
ref
2266
remove
cons
80
ref
2263
remove
cons
nil
cons
cons
nil
cons
cons
2247
remove
subst
936
ref
585
ref
2262
remove
appTerm
2264
remove
937
remove
appTerm
appTerm
absTerm
2267
def
2258
ref
appTerm
2268
def
betaConv
63
ref
1969
ref
936
ref
2096
remove
absTerm
appTerm
absTerm
2269
def
2260
ref
appTerm
2270
def
betaConv
2011
ref
63
ref
104
ref
598
ref
1459
ref
refl
appThm
2271
def
2070
ref
936
ref
2069
ref
absThm
appThm
appThm
appThm
2070
remove
936
remove
2271
remove
2069
remove
appThm
absThm
appThm
appThm
nil
2081
remove
2068
remove
cons
80
ref
1459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
941
remove
857
ref
53
ref
1369
remove
861
remove
appTerm
appTerm
57
ref
2144
remove
appTerm
appTerm
absTerm
2272
def
858
remove
appTerm
2273
def
betaConv
80
ref
864
ref
2272
ref
appTerm
2274
def
absTerm
2275
def
87
ref
appTerm
2276
def
betaConv
nil
208
ref
2275
ref
appTerm
2277
def
axiom
nil
80
ref
2277
remove
nil
cons
cons
83
ref
2276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2275
remove
nil
cons
cons
330
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2274
remove
nil
cons
cons
83
ref
2273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
ref
870
ref
2272
remove
nil
cons
cons
872
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
2255
remove
161
ref
subst
eqMp
nil
80
ref
57
ref
2269
ref
appTerm
nil
cons
cons
83
ref
2270
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2269
remove
nil
cons
cons
63
ref
2260
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1969
ref
2267
ref
appTerm
nil
cons
cons
83
ref
2268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
940
ref
2042
ref
2267
remove
nil
cons
cons
2251
ref
2258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
80
ref
2050
remove
cons
2278
def
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
2278
remove
nil
cons
nil
cons
cons
1363
ref
subst
2256
remove
2257
remove
200
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
147
ref
2142
remove
cons
2279
def
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
2279
remove
149
ref
2179
remove
cons
1430
ref
186
remove
cons
nil
cons
2280
def
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
eqMp
nil
147
ref
2177
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2175
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
1969
ref
2251
ref
14
ref
2157
ref
2251
ref
varTerm
2281
def
appTerm
appTerm
180
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
2158
remove
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
940
ref
2042
ref
2157
remove
nil
cons
cons
1472
ref
cons
nil
cons
cons
nil
80
ref
57
ref
63
ref
1966
ref
153
ref
appTerm
absTerm
2282
def
appTerm
2283
def
nil
cons
2284
def
cons
2285
def
83
ref
14
ref
1444
ref
59
ref
appTerm
2286
def
appTerm
2287
def
153
ref
appTerm
nil
cons
2288
def
cons
nil
cons
cons
nil
cons
cons
2289
def
103
ref
subst
2289
remove
129
ref
subst
nil
80
ref
2286
ref
nil
cons
2290
def
cons
2291
def
83
ref
153
ref
nil
cons
2292
def
cons
nil
cons
2293
def
cons
nil
cons
cons
2294
def
103
ref
subst
2294
remove
129
ref
subst
nil
2285
ref
2293
ref
cons
nil
cons
cons
2295
def
164
ref
subst
83
ref
14
ref
57
ref
63
ref
1966
remove
89
ref
appTerm
absTerm
appTerm
appTerm
89
ref
appTerm
absTerm
2296
def
153
ref
appTerm
2297
def
betaConv
nil
2291
remove
83
ref
208
ref
2296
ref
appTerm
2298
def
nil
cons
2299
def
cons
nil
cons
cons
nil
cons
cons
2300
def
164
ref
subst
53
ref
2286
remove
appTerm
2301
def
refl
61
ref
208
ref
83
ref
14
ref
57
ref
63
ref
14
ref
1462
remove
appTerm
89
ref
appTerm
absTerm
appTerm
appTerm
89
ref
appTerm
absTerm
appTerm
absTerm
2302
def
59
ref
appTerm
betaConv
appThm
nil
69
remove
1444
ref
appTerm
2302
remove
appTerm
axiom
70
remove
appThm
eqMp
2303
def
nil
80
ref
2301
remove
2298
ref
appTerm
nil
cons
cons
83
ref
2287
remove
2298
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
2300
remove
nil
80
ref
189
remove
nil
cons
2304
def
cons
83
ref
192
ref
cons
nil
cons
cons
nil
cons
cons
2305
def
103
ref
subst
2305
remove
129
ref
subst
191
remove
eqMp
nil
147
ref
2304
remove
cons
149
ref
192
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
80
ref
2299
remove
cons
83
ref
2297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2296
remove
nil
cons
cons
212
ref
2292
ref
cons
nil
cons
2306
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2290
remove
cons
149
ref
2292
ref
cons
nil
cons
2307
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
2284
remove
cons
2308
def
149
ref
2288
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
2309
def
subst
eqMp
eqMp
eqMp
nil
147
ref
2171
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
57
ref
2170
remove
appTerm
nil
cons
cons
83
ref
14
ref
2160
remove
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2159
remove
nil
cons
cons
1472
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
eqMp
nil
147
ref
2166
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
1969
remove
2251
remove
14
ref
2161
ref
2281
remove
appTerm
appTerm
180
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
2162
remove
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
940
remove
2042
remove
2161
remove
nil
cons
cons
1472
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
eqMp
nil
147
ref
1982
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
subst
2310
def
subst
eqMp
301
ref
1962
ref
104
ref
301
ref
1127
ref
1959
ref
301
ref
274
ref
1127
ref
274
ref
14
ref
1247
ref
442
ref
1963
ref
appTerm
2311
def
275
ref
appTerm
2312
def
appTerm
appTerm
14
ref
250
ref
253
ref
1963
ref
appTerm
2313
def
275
ref
appTerm
appTerm
256
ref
appTerm
2314
def
appTerm
2315
def
1901
ref
1963
ref
appTerm
2316
def
275
ref
appTerm
2317
def
appTerm
2318
def
appTerm
absTerm
2319
def
absTerm
2320
def
1130
ref
appTerm
betaConv
2321
def
740
ref
appThm
2319
ref
275
ref
appTerm
betaConv
trans
absThm
appThm
appThm
absThm
appThm
appThm
301
ref
761
ref
301
ref
1127
ref
1959
ref
2321
remove
762
ref
refl
appThm
2319
remove
762
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
appThm
nil
1964
ref
1965
ref
2320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2310
ref
subst
eqMp
301
ref
761
ref
104
ref
301
ref
1127
ref
1959
remove
14
ref
1247
ref
2311
ref
762
ref
appTerm
2322
def
appTerm
appTerm
14
ref
250
ref
2313
ref
762
ref
appTerm
appTerm
256
ref
appTerm
appTerm
2316
ref
762
ref
appTerm
appTerm
2323
def
appTerm
refl
appThm
absThm
appThm
appThm
178
ref
1958
remove
2322
ref
appTerm
betaConv
appThm
2323
ref
refl
appThm
appThm
nil
1964
remove
149
ref
2323
ref
nil
cons
cons
"e"
21
ref
var
2324
def
2322
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
382
remove
nil
80
ref
53
ref
57
ref
"m"
54
ref
var
2325
def
14
ref
59
ref
2325
ref
varTerm
2326
def
appTerm
2327
def
appTerm
2328
def
14
ref
353
ref
2326
ref
appTerm
"e"
54
ref
var
2329
def
varTerm
2330
def
appTerm
2331
def
appTerm
153
ref
appTerm
appTerm
absTerm
appTerm
appTerm
14
ref
59
ref
2330
ref
appTerm
2332
def
appTerm
153
ref
appTerm
appTerm
2333
def
nil
cons
cons
nil
cons
nil
cons
cons
1329
ref
subst
sym
2334
def
58
ref
14
ref
15
ref
2333
ref
appTerm
appTerm
180
ref
appTerm
absTerm
2335
def
59
ref
appTerm
2336
def
betaConv
2329
ref
864
ref
2335
ref
appTerm
2337
def
absTerm
2338
def
2330
ref
appTerm
2339
def
betaConv
149
ref
57
ref
2338
ref
appTerm
2340
def
absTerm
2341
def
153
ref
appTerm
2342
def
betaConv
321
ref
149
ref
2011
ref
2329
ref
864
ref
refl
2343
def
58
ref
2334
remove
absThm
appThm
absThm
appThm
absThm
appThm
104
ref
321
remove
149
ref
149
ref
57
ref
2329
ref
864
ref
58
ref
2333
remove
absTerm
appTerm
absTerm
appTerm
absTerm
2344
def
153
ref
appTerm
betaConv
absThm
appThm
appThm
236
ref
2344
ref
64
ref
appTerm
betaConv
appThm
2344
ref
180
ref
appTerm
betaConv
appThm
appThm
nil
"p"
11
ref
var
2345
def
2344
remove
nil
cons
cons
nil
cons
nil
cons
cons
2345
ref
53
ref
208
ref
2190
ref
2345
remove
varTerm
2346
def
2202
ref
appTerm
absTerm
appTerm
appTerm
92
ref
2346
ref
64
ref
appTerm
appTerm
2346
ref
180
ref
appTerm
appTerm
appTerm
absTerm
2347
def
2346
ref
appTerm
2348
def
betaConv
nil
7
ref
0
ref
115
ref
3
ref
cons
opType
constTerm
2347
ref
appTerm
2349
def
axiom
nil
80
ref
2349
remove
nil
cons
cons
83
ref
2348
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
"A"
12
remove
cons
nil
cons
"P"
115
remove
var
2347
remove
nil
cons
cons
"x"
11
remove
var
2346
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
236
ref
2011
ref
2329
ref
2343
ref
58
ref
104
ref
2011
ref
2325
ref
2328
ref
refl
2350
def
nil
74
ref
2331
ref
nil
cons
2351
def
cons
nil
cons
nil
cons
cons
2352
def
2232
ref
subst
appThm
nil
74
ref
2327
ref
nil
cons
2353
def
cons
nil
cons
nil
cons
cons
2232
ref
subst
trans
absThm
appThm
374
ref
378
ref
subst
2354
def
trans
appThm
nil
74
ref
2332
ref
nil
cons
2355
def
cons
nil
cons
nil
cons
cons
2356
def
2232
ref
subst
appThm
2032
ref
trans
absThm
appThm
374
remove
869
ref
51
ref
cons
2357
def
378
remove
subst
subst
trans
absThm
appThm
2354
remove
trans
appThm
2011
ref
2329
ref
2343
remove
58
ref
104
ref
2011
ref
2325
ref
2350
remove
2352
remove
1321
ref
subst
appThm
absThm
appThm
appThm
2356
remove
1321
remove
subst
appThm
absThm
appThm
absThm
appThm
appThm
nil
74
ref
57
ref
2329
ref
864
remove
58
ref
53
ref
57
ref
2325
ref
2328
remove
15
ref
2331
ref
appTerm
2358
def
appTerm
absTerm
2359
def
appTerm
2360
def
appTerm
15
ref
2332
ref
appTerm
2361
def
appTerm
2362
def
absTerm
2363
def
appTerm
2364
def
absTerm
2365
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
trans
trans
sym
nil
58
ref
2365
remove
nil
cons
cons
nil
cons
nil
cons
cons
72
ref
subst
2329
remove
nil
74
ref
2364
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
870
ref
2363
remove
nil
cons
cons
nil
cons
nil
cons
cons
2357
remove
72
ref
subst
subst
58
ref
nil
74
ref
2362
ref
nil
cons
2366
def
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2366
remove
cons
nil
cons
nil
cons
cons
1329
ref
subst
sym
nil
80
ref
15
ref
2362
remove
appTerm
2367
def
nil
cons
2368
def
cons
187
ref
cons
nil
cons
cons
2369
def
103
ref
subst
2369
remove
129
ref
subst
nil
80
ref
2360
remove
nil
cons
cons
83
ref
2361
ref
nil
cons
2370
def
cons
nil
cons
2371
def
cons
nil
cons
cons
2010
remove
subst
598
remove
236
ref
2011
remove
2325
ref
nil
80
ref
2353
ref
cons
83
ref
2358
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2372
def
2041
remove
subst
absThm
appThm
appThm
nil
80
ref
2355
ref
cons
2373
def
nil
cons
nil
cons
cons
2374
def
1326
ref
subst
appThm
appThm
236
ref
nil
58
ref
2359
ref
nil
cons
cons
nil
cons
nil
cons
cons
2046
remove
subst
1445
ref
2325
ref
179
ref
2359
remove
2326
ref
appTerm
betaConv
appThm
2372
remove
2066
ref
subst
236
ref
2327
ref
refl
appThm
nil
80
ref
2351
ref
cons
nil
cons
nil
cons
cons
1326
remove
subst
appThm
trans
trans
absThm
appThm
trans
appThm
2361
ref
refl
2375
def
appThm
appThm
trans
585
ref
92
ref
57
ref
2325
ref
585
ref
15
ref
2327
ref
appTerm
appTerm
2358
remove
appTerm
absTerm
2376
def
appTerm
2377
def
appTerm
2332
ref
appTerm
2378
def
appTerm
2379
def
refl
2380
def
104
ref
236
ref
1445
ref
2325
ref
2325
ref
92
ref
2327
remove
appTerm
2331
remove
appTerm
2381
def
absTerm
2382
def
2326
ref
appTerm
betaConv
2383
def
absThm
appThm
appThm
2375
ref
appThm
appThm
1445
ref
2325
ref
236
ref
2383
remove
appThm
2375
remove
appThm
absThm
appThm
appThm
nil
61
remove
2382
remove
nil
cons
cons
2371
remove
cons
nil
cons
cons
2111
remove
subst
eqMp
appThm
104
ref
2380
ref
1445
ref
2325
ref
2325
ref
92
ref
2381
ref
appTerm
2361
remove
appTerm
2384
def
absTerm
2385
def
2326
ref
appTerm
betaConv
2386
def
absThm
appThm
appThm
appThm
1445
remove
2325
ref
2380
remove
2386
remove
appThm
absThm
appThm
appThm
nil
857
remove
2385
remove
nil
cons
cons
80
ref
2378
remove
nil
cons
2387
def
cons
2388
def
nil
cons
cons
nil
cons
cons
2151
remove
subst
eqMp
trans
trans
2367
remove
assume
eqMp
nil
80
ref
1444
remove
2325
ref
2379
remove
2384
ref
appTerm
2389
def
absTerm
2390
def
appTerm
2391
def
nil
cons
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
58
ref
2325
ref
14
ref
2390
ref
2326
ref
appTerm
2392
def
appTerm
180
ref
appTerm
2393
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
72
ref
subst
2325
remove
nil
74
ref
2393
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2392
ref
nil
cons
2394
def
cons
187
ref
cons
nil
cons
cons
2395
def
103
ref
subst
2395
remove
129
ref
subst
2392
ref
betaConv
2392
remove
assume
eqMp
nil
80
ref
2389
remove
nil
cons
2396
def
cons
187
ref
cons
nil
cons
cons
2397
def
164
ref
subst
proveHyp
2397
ref
103
ref
subst
2397
remove
129
ref
subst
nil
80
ref
2384
remove
nil
cons
2398
def
cons
187
ref
cons
nil
cons
cons
2399
def
103
ref
subst
2399
remove
129
ref
subst
53
ref
"_14626"
54
ref
var
2400
def
59
ref
2400
remove
varTerm
appTerm
absTerm
2401
def
2326
remove
appTerm
2402
def
appTerm
refl
2401
remove
2330
ref
appTerm
betaConv
appThm
104
ref
2402
remove
betaConv
appThm
2332
ref
refl
appThm
trans
63
ref
169
remove
absTerm
refl
nil
147
ref
2381
remove
nil
cons
cons
149
ref
2370
remove
cons
nil
cons
cons
nil
cons
cons
2403
def
161
ref
subst
2404
def
nil
147
ref
2353
remove
cons
149
ref
2351
remove
cons
nil
cons
cons
nil
cons
cons
2405
def
200
ref
subst
proveHyp
appThm
eqMp
2404
remove
2405
remove
161
ref
subst
proveHyp
eqMp
nil
2373
ref
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
2374
remove
1363
ref
subst
2403
remove
200
ref
subst
eqMp
eqMp
eqMp
nil
147
ref
2398
ref
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
2388
remove
187
ref
cons
nil
cons
cons
2406
def
103
ref
subst
2406
remove
129
ref
subst
nil
147
ref
2377
remove
nil
cons
2407
def
cons
149
ref
2355
remove
cons
nil
cons
cons
nil
cons
cons
2408
def
200
ref
subst
nil
2373
remove
83
ref
353
ref
2330
ref
appTerm
2330
ref
appTerm
2409
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
63
ref
2330
ref
nil
cons
2410
def
cons
nil
cons
2411
def
nil
cons
cons
172
remove
subst
eqMp
nil
80
ref
92
ref
2332
remove
appTerm
2409
remove
appTerm
nil
cons
cons
187
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_14621"
54
remove
var
2412
def
2410
remove
cons
nil
cons
nil
cons
cons
nil
2190
remove
353
remove
2412
remove
varTerm
2413
def
appTerm
2330
remove
appTerm
2414
def
nil
cons
cons
2194
remove
59
remove
2413
ref
appTerm
2415
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
2201
remove
83
ref
53
ref
585
ref
15
ref
2197
ref
appTerm
appTerm
2203
ref
appTerm
appTerm
15
ref
92
ref
2197
ref
appTerm
2202
ref
appTerm
appTerm
appTerm
nil
cons
2416
def
cons
nil
cons
2417
def
cons
nil
cons
cons
2418
def
103
ref
subst
2418
remove
129
ref
subst
53
ref
"_614"
2
ref
var
2419
def
53
ref
585
ref
15
ref
2419
remove
varTerm
2420
def
appTerm
appTerm
2203
ref
appTerm
appTerm
15
ref
92
ref
2420
remove
appTerm
2202
ref
appTerm
appTerm
appTerm
absTerm
2421
def
2197
remove
appTerm
2422
def
appTerm
refl
2423
def
2421
ref
180
ref
appTerm
betaConv
appThm
104
ref
2422
remove
betaConv
appThm
2424
def
53
ref
2024
remove
2203
ref
appTerm
appTerm
15
ref
1410
remove
2202
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2421
remove
refl
2425
def
2215
remove
appThm
eqMp
sym
104
ref
2031
remove
2203
ref
refl
2426
def
appThm
2219
ref
1406
remove
subst
trans
appThm
179
ref
2217
ref
1414
remove
subst
appThm
217
ref
trans
appThm
2032
remove
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
2220
remove
149
ref
2416
ref
cons
nil
cons
2427
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
2224
remove
2417
remove
cons
nil
cons
cons
2428
def
103
ref
subst
2428
remove
129
ref
subst
2423
remove
"_612"
2
remove
var
2429
def
53
ref
585
ref
15
ref
2429
remove
varTerm
2430
def
appTerm
appTerm
2203
ref
appTerm
appTerm
15
ref
92
ref
2430
remove
appTerm
2202
ref
appTerm
appTerm
appTerm
absTerm
64
ref
appTerm
betaConv
appThm
2424
remove
53
ref
2038
remove
2203
remove
appTerm
appTerm
15
ref
241
remove
2202
remove
appTerm
appTerm
appTerm
refl
appThm
trans
2425
remove
2228
remove
appThm
eqMp
sym
104
ref
2040
remove
2426
remove
appThm
2219
remove
608
remove
subst
trans
appThm
179
ref
2217
remove
245
ref
subst
appThm
appThm
nil
212
ref
2218
remove
cons
nil
cons
nil
cons
cons
1328
remove
subst
trans
sym
78
ref
eqMp
eqMp
eqMp
nil
2233
ref
2427
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
2236
remove
nil
2233
remove
2237
remove
1430
ref
2416
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
80
ref
92
ref
2415
remove
appTerm
2414
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1363
ref
subst
trans
2376
ref
2413
ref
appTerm
2431
def
betaConv
2408
remove
161
ref
subst
nil
80
ref
2407
remove
cons
83
ref
2431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2376
remove
nil
cons
cons
63
ref
2413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
2387
remove
cons
2432
def
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
2432
remove
149
ref
2398
remove
cons
2280
remove
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
eqMp
nil
147
ref
2396
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2394
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
57
remove
63
ref
14
ref
2390
ref
168
ref
appTerm
appTerm
180
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
2391
remove
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2390
remove
nil
cons
cons
1472
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
eqMp
nil
147
ref
2368
remove
cons
1472
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
80
ref
208
ref
2341
ref
appTerm
nil
cons
cons
83
ref
2342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2341
remove
nil
cons
cons
2306
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2340
remove
nil
cons
cons
83
ref
2339
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
955
ref
58
ref
2338
remove
nil
cons
cons
2411
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2337
remove
nil
cons
cons
83
ref
2336
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
869
remove
870
remove
2335
remove
nil
cons
cons
871
remove
1446
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
subst
2433
def
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
1932
ref
refl
2434
def
appThm
sym
nil
80
ref
284
ref
1962
ref
284
ref
761
ref
14
ref
1275
ref
2322
ref
appTerm
2435
def
467
ref
appTerm
appTerm
2323
ref
appTerm
absTerm
appTerm
absTerm
appTerm
2436
def
nil
cons
2437
def
cons
83
ref
1950
ref
cons
nil
cons
2438
def
cons
nil
cons
cons
2439
def
103
ref
subst
2439
remove
129
ref
subst
nil
1050
ref
2438
ref
cons
nil
cons
cons
2440
def
103
ref
subst
2440
remove
129
ref
subst
nil
1104
remove
2438
ref
cons
nil
cons
cons
2441
def
103
ref
subst
2441
remove
129
ref
subst
nil
80
ref
15
ref
888
ref
24
ref
appTerm
2442
def
appTerm
2443
def
nil
cons
2444
def
cons
2445
def
2438
ref
cons
nil
cons
cons
2446
def
103
ref
subst
2446
remove
129
ref
subst
nil
80
ref
15
ref
1868
ref
appTerm
2447
def
nil
cons
2448
def
cons
2449
def
2438
ref
cons
nil
cons
cons
2450
def
103
ref
subst
2450
remove
129
ref
subst
nil
80
ref
15
ref
894
ref
appTerm
2451
def
nil
cons
2452
def
cons
2453
def
2438
ref
cons
nil
cons
cons
2454
def
103
ref
subst
2454
remove
129
ref
subst
nil
80
ref
15
ref
899
ref
appTerm
2455
def
nil
cons
2456
def
cons
2457
def
2438
ref
cons
nil
cons
cons
2458
def
103
ref
subst
2458
remove
129
ref
subst
1109
ref
585
ref
903
remove
285
ref
appTerm
2459
def
1112
ref
appTerm
appTerm
1251
remove
285
ref
appTerm
appTerm
absTerm
2460
def
275
ref
appTerm
2461
def
betaConv
1127
ref
284
ref
1109
ref
585
ref
1250
ref
appTerm
1252
remove
appTerm
absTerm
appTerm
absTerm
2462
def
285
ref
appTerm
2463
def
betaConv
nil
284
ref
2462
ref
appTerm
2464
def
axiom
nil
80
ref
2464
remove
nil
cons
cons
83
ref
2463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2462
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
2460
ref
appTerm
nil
cons
cons
83
ref
2461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2460
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
585
ref
2459
remove
275
ref
appTerm
2465
def
appTerm
905
ref
appTerm
nil
cons
2466
def
cons
2438
ref
cons
nil
cons
cons
2467
def
164
ref
subst
proveHyp
2467
ref
103
ref
subst
2467
remove
129
ref
subst
178
ref
1666
remove
1109
ref
53
ref
1250
remove
appTerm
1289
ref
1290
ref
1291
ref
1131
remove
1292
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2468
def
1112
ref
appTerm
2469
def
betaConv
1127
ref
284
ref
2468
ref
appTerm
2470
def
absTerm
2471
def
1130
ref
appTerm
2472
def
betaConv
nil
284
ref
2471
ref
appTerm
2473
def
axiom
nil
80
ref
2473
remove
nil
cons
cons
83
ref
2472
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2471
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2470
remove
nil
cons
cons
83
ref
2469
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2468
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2474
def
subst
appThm
2434
ref
appThm
sym
nil
487
ref
1962
ref
14
ref
1290
ref
888
ref
443
ref
1292
ref
appTerm
appTerm
absTerm
2475
def
1963
ref
appTerm
2476
def
appTerm
1932
ref
appTerm
2477
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
1962
ref
nil
74
ref
2477
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2476
ref
nil
cons
2478
def
cons
2438
ref
cons
nil
cons
cons
2479
def
103
ref
subst
2479
remove
129
ref
subst
2476
ref
betaConv
2476
remove
assume
eqMp
nil
80
ref
888
ref
443
remove
1963
ref
appTerm
2480
def
appTerm
2481
def
nil
cons
2482
def
cons
2438
ref
cons
nil
cons
cons
2483
def
164
ref
subst
proveHyp
2483
ref
103
ref
subst
2483
remove
129
ref
subst
53
ref
"_30689"
21
ref
var
2484
def
14
ref
250
ref
253
ref
2484
remove
varTerm
2485
def
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
appTerm
1901
ref
2485
remove
appTerm
275
ref
appTerm
appTerm
absTerm
2486
def
285
ref
appTerm
2487
def
appTerm
refl
2488
def
2486
ref
2480
ref
appTerm
betaConv
appThm
104
ref
2487
remove
betaConv
appThm
2489
def
14
ref
250
ref
253
ref
2480
ref
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
appTerm
1901
ref
2480
ref
appTerm
275
ref
appTerm
2490
def
appTerm
2491
def
refl
appThm
trans
2486
remove
refl
2492
def
2481
remove
assume
2493
def
appThm
eqMp
sym
53
ref
"_30713"
21
ref
var
2494
def
15
ref
893
ref
2494
remove
varTerm
appTerm
appTerm
absTerm
2495
def
285
ref
appTerm
2496
def
appTerm
refl
2495
ref
2480
ref
appTerm
betaConv
appThm
104
ref
2496
remove
betaConv
appThm
15
ref
893
ref
2480
ref
appTerm
appTerm
2497
def
refl
appThm
trans
2495
remove
refl
2498
def
2493
ref
appThm
eqMp
2451
remove
assume
eqMp
nil
80
ref
2497
remove
nil
cons
cons
83
ref
2491
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
179
ref
nil
1109
ref
1963
ref
nil
cons
2499
def
cons
2500
def
1665
remove
cons
nil
cons
cons
1673
ref
subst
104
ref
nil
2457
remove
83
ref
1674
remove
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
1784
ref
nil
cons
nil
cons
cons
214
ref
subst
eqMp
2501
def
appThm
893
ref
1963
ref
appTerm
2502
def
refl
appThm
nil
74
ref
2502
ref
nil
cons
2503
def
cons
nil
cons
nil
cons
cons
2504
def
1419
ref
subst
trans
trans
appThm
2504
ref
1325
ref
subst
trans
appThm
178
ref
1159
ref
nil
1877
ref
2499
ref
cons
"b"
21
ref
var
2505
def
620
ref
cons
nil
cons
cons
nil
cons
cons
2505
ref
250
ref
253
ref
442
ref
2505
ref
varTerm
2506
def
appTerm
1879
ref
appTerm
appTerm
2506
ref
appTerm
appTerm
1880
ref
2506
ref
appTerm
2507
def
appTerm
absTerm
2508
def
2506
ref
appTerm
2509
def
betaConv
1877
ref
284
ref
2508
ref
appTerm
2510
def
absTerm
2511
def
1879
ref
appTerm
2512
def
betaConv
nil
284
ref
2511
ref
appTerm
2513
def
axiom
nil
80
ref
2513
remove
nil
cons
cons
83
ref
2512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2511
remove
nil
cons
cons
1884
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2510
remove
nil
cons
cons
83
ref
2509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2508
remove
nil
cons
cons
522
ref
2506
ref
nil
cons
cons
nil
cons
2514
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
746
ref
appThm
appThm
2490
ref
refl
appThm
appThm
sym
nil
80
ref
2503
ref
cons
83
ref
2315
remove
2490
ref
appTerm
nil
cons
2515
def
cons
nil
cons
cons
nil
cons
cons
2516
def
103
ref
subst
2516
remove
129
ref
subst
nil
80
ref
2314
ref
nil
cons
2517
def
cons
2518
def
83
ref
2490
remove
nil
cons
2519
def
cons
nil
cons
2520
def
cons
nil
cons
cons
2521
def
103
ref
subst
2521
remove
129
ref
subst
236
ref
1159
ref
2314
ref
assume
appThm
746
ref
appThm
1533
ref
trans
appThm
236
ref
2504
remove
79
ref
subst
2502
ref
assume
eqMp
appThm
236
ref
179
ref
1107
ref
appThm
217
ref
trans
appThm
2522
def
236
ref
1579
ref
1109
ref
53
ref
1600
ref
appTerm
15
ref
1598
remove
appTerm
2523
def
appTerm
2524
def
absTerm
2525
def
1112
ref
appTerm
2526
def
betaConv
301
ref
1109
ref
2524
remove
assume
sym
53
ref
2523
remove
appTerm
1600
remove
appTerm
2527
def
assume
sym
deductAntisym
absThm
appThm
nil
284
ref
1109
ref
2527
remove
absTerm
appTerm
axiom
eqMp
nil
80
ref
284
ref
2525
ref
appTerm
nil
cons
cons
83
ref
2526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2525
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2528
def
subst
179
ref
2501
remove
appThm
217
ref
trans
trans
appThm
2317
ref
refl
2529
def
appThm
nil
74
ref
2317
ref
nil
cons
2530
def
cons
nil
cons
nil
cons
cons
245
ref
subst
2531
def
trans
appThm
2531
ref
trans
appThm
2531
ref
trans
appThm
2531
ref
trans
sym
nil
2518
remove
83
ref
2530
remove
cons
nil
cons
2532
def
cons
nil
cons
cons
164
ref
subst
nil
1228
ref
2480
ref
nil
cons
cons
1664
remove
2500
ref
nil
cons
cons
2533
def
cons
nil
cons
cons
1228
ref
53
ref
1275
ref
1333
ref
appTerm
1351
remove
appTerm
appTerm
1276
ref
1231
ref
appTerm
2534
def
appTerm
absTerm
2535
def
1231
ref
appTerm
2536
def
betaConv
1109
ref
284
ref
2535
ref
appTerm
2537
def
absTerm
2538
def
1112
ref
appTerm
2539
def
betaConv
1127
ref
284
ref
2538
ref
appTerm
2540
def
absTerm
2541
def
1130
ref
appTerm
2542
def
betaConv
nil
284
ref
2541
ref
appTerm
2543
def
axiom
nil
80
ref
2543
remove
nil
cons
cons
83
ref
2542
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2541
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2540
remove
nil
cons
cons
83
ref
2539
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2538
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2537
remove
nil
cons
cons
83
ref
2536
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2535
remove
nil
cons
cons
1864
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2544
def
subst
nil
2533
ref
nil
cons
cons
1109
ref
53
ref
1276
remove
1181
ref
appTerm
appTerm
1275
ref
24
ref
appTerm
2545
def
1130
ref
appTerm
appTerm
absTerm
2546
def
1112
ref
appTerm
2547
def
betaConv
1127
ref
284
ref
2546
ref
appTerm
2548
def
absTerm
2549
def
1130
ref
appTerm
2550
def
betaConv
nil
284
ref
2549
ref
appTerm
2551
def
axiom
nil
80
ref
2551
remove
nil
cons
cons
83
ref
2550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2549
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2548
remove
nil
cons
cons
83
ref
2547
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2546
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2552
def
subst
1579
ref
1109
ref
53
ref
2545
remove
1112
ref
appTerm
appTerm
15
ref
1291
ref
24
ref
appTerm
2553
def
appTerm
appTerm
absTerm
2554
def
1112
ref
appTerm
2555
def
betaConv
nil
284
ref
2554
ref
appTerm
2556
def
axiom
nil
80
ref
2556
remove
nil
cons
cons
83
ref
2555
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2554
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2557
def
subst
trans
trans
179
ref
nil
2449
remove
83
ref
53
ref
1868
ref
appTerm
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
1886
ref
nil
cons
nil
cons
cons
214
ref
subst
eqMp
appThm
217
ref
trans
trans
sym
78
ref
eqMp
nil
80
ref
1275
ref
2312
remove
appTerm
2558
def
442
ref
2480
ref
appTerm
275
ref
appTerm
2559
def
appTerm
nil
cons
cons
83
ref
2318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
761
ref
620
ref
cons
"u''"
21
ref
var
2560
def
2499
ref
cons
nil
cons
cons
nil
cons
cons
2561
def
761
ref
14
ref
1275
ref
442
ref
2560
ref
varTerm
2562
def
appTerm
762
ref
appTerm
appTerm
2563
def
2559
remove
appTerm
appTerm
14
ref
250
ref
253
ref
2562
ref
appTerm
762
ref
appTerm
appTerm
256
ref
appTerm
2564
def
appTerm
1901
ref
2562
ref
appTerm
762
ref
appTerm
2565
def
appTerm
2566
def
appTerm
absTerm
2567
def
762
ref
appTerm
2568
def
betaConv
2560
ref
284
ref
2567
ref
appTerm
2569
def
absTerm
2570
def
2562
ref
appTerm
2571
def
betaConv
53
ref
"_30703"
21
ref
var
2572
def
284
ref
1962
ref
284
ref
761
ref
14
ref
2435
ref
442
ref
2572
remove
varTerm
appTerm
275
ref
appTerm
appTerm
appTerm
2323
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2573
def
285
ref
appTerm
2574
def
appTerm
refl
2575
def
2573
ref
2480
remove
appTerm
betaConv
appThm
104
ref
2574
remove
betaConv
appThm
2576
def
284
ref
2570
ref
appTerm
2577
def
refl
appThm
trans
2573
remove
refl
2578
def
2493
remove
appThm
eqMp
2436
remove
assume
2579
def
eqMp
nil
80
ref
2577
remove
nil
cons
cons
83
ref
2571
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2570
remove
nil
cons
cons
522
ref
2562
ref
nil
cons
cons
nil
cons
2580
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2569
remove
nil
cons
cons
83
ref
2568
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2567
remove
nil
cons
cons
522
ref
762
ref
nil
cons
2581
def
cons
nil
cons
2582
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
80
ref
92
ref
2314
ref
appTerm
92
ref
2502
remove
appTerm
976
ref
1012
remove
2317
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2520
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
282
ref
2499
ref
cons
nil
cons
nil
cons
cons
2583
def
1918
ref
275
ref
appTerm
2584
def
betaConv
1920
ref
285
ref
appTerm
2585
def
betaConv
nil
80
ref
1947
remove
cons
83
ref
2585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1920
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1919
remove
nil
cons
cons
83
ref
2584
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1918
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
2517
ref
cons
149
ref
2519
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
2503
remove
cons
149
ref
2515
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2482
remove
cons
149
ref
1950
ref
cons
2586
def
nil
cons
2587
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2478
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
522
ref
14
ref
2475
ref
522
ref
varTerm
2588
def
appTerm
appTerm
1932
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
1289
ref
2475
ref
appTerm
appTerm
1932
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2475
remove
nil
cons
cons
2587
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
178
ref
1796
remove
2474
remove
subst
appThm
2434
ref
appThm
sym
nil
487
ref
761
ref
14
ref
1290
ref
890
ref
466
ref
1292
ref
appTerm
appTerm
absTerm
2589
def
762
ref
appTerm
2590
def
appTerm
1932
ref
appTerm
2591
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
761
ref
nil
74
ref
2591
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2590
ref
nil
cons
2592
def
cons
2438
ref
cons
nil
cons
cons
2593
def
103
ref
subst
2593
remove
129
ref
subst
2590
ref
betaConv
2590
remove
assume
eqMp
nil
80
ref
890
ref
466
ref
762
ref
appTerm
2594
def
appTerm
2595
def
nil
cons
2596
def
cons
2438
ref
cons
nil
cons
cons
2597
def
164
ref
subst
proveHyp
2597
ref
103
ref
subst
2597
remove
129
ref
subst
53
ref
"_30661"
21
ref
var
2598
def
14
ref
250
ref
286
ref
2598
remove
varTerm
2599
def
appTerm
appTerm
256
ref
appTerm
appTerm
1905
ref
2599
remove
appTerm
appTerm
absTerm
2600
def
275
ref
appTerm
2601
def
appTerm
refl
2602
def
2600
remove
2594
ref
appTerm
betaConv
appThm
104
ref
2601
remove
betaConv
appThm
2603
def
14
ref
250
ref
286
ref
2594
ref
appTerm
appTerm
256
ref
appTerm
appTerm
1905
ref
2594
ref
appTerm
2604
def
appTerm
2605
def
refl
appThm
trans
1933
remove
refl
2606
def
2595
remove
assume
2607
def
appThm
eqMp
sym
53
ref
"_30687"
21
ref
var
2608
def
15
ref
893
ref
2608
remove
varTerm
appTerm
appTerm
absTerm
2609
def
275
ref
appTerm
2610
def
appTerm
refl
2609
remove
2594
ref
appTerm
betaConv
appThm
104
ref
2610
remove
betaConv
appThm
15
ref
893
ref
2594
ref
appTerm
appTerm
2611
def
refl
appThm
trans
2498
remove
2607
ref
appThm
eqMp
2455
remove
assume
eqMp
nil
80
ref
2611
remove
nil
cons
cons
83
ref
2605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
179
ref
nil
1109
ref
2581
ref
cons
2612
def
1794
remove
cons
2613
def
nil
cons
cons
1673
remove
subst
104
ref
nil
2453
remove
83
ref
1797
remove
180
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
1656
ref
nil
cons
nil
cons
cons
214
ref
subst
eqMp
2614
def
appThm
893
remove
762
ref
appTerm
2615
def
refl
appThm
nil
74
ref
2615
ref
nil
cons
2616
def
cons
nil
cons
nil
cons
cons
2617
def
1419
remove
subst
trans
trans
appThm
2617
ref
1325
remove
subst
trans
appThm
178
ref
1159
ref
nil
2505
ref
2581
ref
cons
1878
ref
cons
nil
cons
cons
2505
ref
250
ref
1880
ref
442
ref
1879
ref
appTerm
2506
ref
appTerm
appTerm
appTerm
2507
ref
appTerm
absTerm
2618
def
2506
ref
appTerm
2619
def
betaConv
1877
ref
284
ref
2618
ref
appTerm
2620
def
absTerm
2621
def
1879
ref
appTerm
2622
def
betaConv
nil
284
ref
2621
ref
appTerm
2623
def
axiom
nil
80
ref
2623
remove
nil
cons
cons
83
ref
2622
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2621
remove
nil
cons
cons
1884
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2620
remove
nil
cons
cons
83
ref
2619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2618
remove
nil
cons
cons
2514
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
746
ref
appThm
appThm
2604
ref
refl
appThm
appThm
sym
nil
80
ref
2616
ref
cons
83
ref
14
ref
250
ref
286
ref
762
ref
appTerm
appTerm
256
ref
appTerm
2624
def
appTerm
2625
def
2604
ref
appTerm
nil
cons
2626
def
cons
nil
cons
cons
nil
cons
cons
2627
def
103
ref
subst
2627
remove
129
ref
subst
nil
80
ref
2624
ref
nil
cons
2628
def
cons
2629
def
83
ref
2604
remove
nil
cons
2630
def
cons
nil
cons
2631
def
cons
nil
cons
cons
2632
def
103
ref
subst
2632
remove
129
ref
subst
236
ref
1159
ref
2624
ref
assume
appThm
746
ref
appThm
1533
ref
trans
appThm
236
ref
179
ref
1057
ref
appThm
217
ref
trans
appThm
2633
def
236
ref
1111
ref
2528
remove
subst
179
ref
2614
remove
appThm
217
ref
trans
trans
appThm
2634
def
236
ref
2617
remove
79
ref
subst
2615
ref
assume
eqMp
appThm
1905
ref
762
ref
appTerm
2635
def
refl
2636
def
appThm
nil
74
ref
2635
ref
nil
cons
2637
def
cons
nil
cons
nil
cons
cons
245
ref
subst
2638
def
trans
appThm
2638
ref
trans
appThm
2638
ref
trans
appThm
2638
ref
trans
sym
nil
2629
remove
83
ref
2637
remove
cons
nil
cons
2639
def
cons
nil
cons
cons
164
ref
subst
nil
1228
ref
2594
ref
nil
cons
cons
2613
ref
cons
nil
cons
cons
1228
ref
53
ref
1275
ref
1181
ref
appTerm
1234
remove
appTerm
appTerm
2534
ref
appTerm
absTerm
2640
def
1231
ref
appTerm
2641
def
betaConv
1109
ref
284
ref
2640
ref
appTerm
2642
def
absTerm
2643
def
1112
ref
appTerm
2644
def
betaConv
1127
ref
284
ref
2643
ref
appTerm
2645
def
absTerm
2646
def
1130
ref
appTerm
2647
def
betaConv
nil
284
ref
2646
ref
appTerm
2648
def
axiom
nil
80
ref
2648
remove
nil
cons
cons
83
ref
2647
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2646
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2645
remove
nil
cons
cons
83
ref
2644
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2643
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2642
remove
nil
cons
cons
83
ref
2641
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2640
remove
nil
cons
cons
1864
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2649
def
subst
nil
1793
remove
2612
ref
nil
cons
cons
nil
cons
cons
2552
remove
subst
1111
ref
2557
remove
subst
trans
trans
179
ref
nil
2445
remove
83
ref
53
ref
2442
ref
appTerm
180
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
nil
147
ref
2442
ref
nil
cons
2650
def
cons
2651
def
nil
cons
nil
cons
cons
214
remove
subst
eqMp
appThm
217
ref
trans
trans
sym
78
ref
eqMp
nil
80
ref
1275
ref
2594
ref
appTerm
2652
def
466
ref
2594
ref
appTerm
2653
def
appTerm
nil
cons
cons
83
ref
2625
remove
2635
ref
appTerm
2654
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"v''"
21
ref
var
2655
def
2581
ref
cons
1962
ref
507
remove
cons
nil
cons
cons
nil
cons
cons
2656
def
2655
ref
14
ref
1275
ref
2311
remove
2655
ref
varTerm
2657
def
appTerm
appTerm
2658
def
2653
remove
appTerm
appTerm
14
ref
250
ref
2313
remove
2657
ref
appTerm
appTerm
256
ref
appTerm
2659
def
appTerm
2316
remove
2657
ref
appTerm
2660
def
appTerm
2661
def
appTerm
absTerm
2662
def
2657
ref
appTerm
2663
def
betaConv
1962
ref
284
ref
2662
ref
appTerm
2664
def
absTerm
2665
def
1963
ref
appTerm
2666
def
betaConv
53
ref
"_30675"
21
ref
var
2667
def
284
ref
1962
ref
284
ref
761
ref
14
ref
2435
ref
466
ref
2667
remove
varTerm
appTerm
appTerm
appTerm
2323
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2668
def
275
ref
appTerm
2669
def
appTerm
refl
2670
def
2668
ref
2594
ref
appTerm
betaConv
appThm
104
ref
2669
remove
betaConv
appThm
2671
def
284
ref
2665
ref
appTerm
2672
def
refl
appThm
trans
2668
remove
refl
2673
def
2607
remove
appThm
eqMp
2579
ref
eqMp
nil
80
ref
2672
remove
nil
cons
cons
83
ref
2666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2665
remove
nil
cons
cons
522
ref
2499
ref
cons
nil
cons
2674
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2664
remove
nil
cons
cons
83
ref
2663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2662
remove
nil
cons
cons
522
ref
2657
ref
nil
cons
cons
nil
cons
2675
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
80
ref
92
ref
2624
ref
appTerm
992
ref
995
ref
92
ref
2615
remove
appTerm
2635
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2631
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
274
ref
2581
ref
cons
nil
cons
nil
cons
cons
2676
def
1922
ref
275
ref
appTerm
2677
def
betaConv
1924
ref
285
ref
appTerm
2678
def
betaConv
nil
80
ref
1948
remove
cons
83
ref
2678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1924
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1923
remove
nil
cons
cons
83
ref
2677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1922
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
2628
ref
cons
149
ref
2630
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
2616
remove
cons
149
ref
2626
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2596
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2592
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
522
ref
14
ref
2589
ref
2588
ref
appTerm
appTerm
1932
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
1289
ref
2589
ref
appTerm
appTerm
1932
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2589
remove
nil
cons
cons
2587
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
nil
147
ref
2465
remove
nil
cons
cons
149
ref
905
remove
nil
cons
cons
1430
remove
1950
remove
cons
nil
cons
2679
def
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
eqMp
nil
147
ref
2466
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2456
ref
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
178
ref
1579
remove
1109
ref
1599
remove
1289
ref
1127
ref
1291
remove
388
ref
1130
ref
appTerm
2680
def
appTerm
absTerm
appTerm
appTerm
absTerm
2681
def
1112
ref
appTerm
2682
def
betaConv
nil
284
ref
2681
ref
appTerm
2683
def
axiom
nil
80
ref
2683
remove
nil
cons
cons
83
ref
2682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2681
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2684
def
subst
appThm
2434
ref
appThm
sym
nil
487
ref
761
ref
14
ref
1127
ref
890
ref
2680
ref
appTerm
absTerm
2685
def
762
ref
appTerm
2686
def
appTerm
1932
ref
appTerm
2687
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
495
ref
subst
761
ref
nil
74
ref
2687
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2686
ref
nil
cons
2688
def
cons
2438
ref
cons
nil
cons
cons
2689
def
103
ref
subst
2689
remove
129
ref
subst
2686
ref
betaConv
2686
remove
assume
eqMp
nil
80
ref
890
remove
388
ref
762
ref
appTerm
2690
def
appTerm
2691
def
nil
cons
2692
def
cons
2438
ref
cons
nil
cons
cons
2693
def
164
ref
subst
proveHyp
2693
ref
103
ref
subst
2693
remove
129
ref
subst
2602
remove
"_30635"
21
ref
var
2694
def
14
ref
250
ref
286
ref
2694
remove
varTerm
2695
def
appTerm
appTerm
256
ref
appTerm
appTerm
1905
ref
2695
remove
appTerm
appTerm
absTerm
2690
ref
appTerm
betaConv
appThm
2603
remove
14
ref
250
ref
286
ref
2690
ref
appTerm
appTerm
256
ref
appTerm
2696
def
appTerm
1905
ref
2690
ref
appTerm
2697
def
appTerm
refl
appThm
trans
2606
remove
2691
remove
assume
2698
def
appThm
eqMp
sym
nil
80
ref
2696
ref
nil
cons
2699
def
cons
2700
def
83
ref
2697
remove
nil
cons
2701
def
cons
nil
cons
2702
def
cons
nil
cons
cons
2703
def
103
ref
subst
2703
remove
129
ref
subst
236
ref
1159
ref
2696
ref
assume
appThm
746
ref
appThm
1533
ref
trans
appThm
2633
remove
2634
remove
2636
remove
appThm
2638
ref
trans
appThm
2638
ref
trans
appThm
2638
remove
trans
sym
nil
1228
ref
2690
ref
nil
cons
cons
2613
remove
cons
nil
cons
cons
2649
remove
subst
sym
1275
ref
refl
2704
def
nil
1127
ref
2581
ref
cons
nil
cons
nil
cons
cons
1127
ref
1247
remove
385
ref
256
ref
appTerm
1130
ref
appTerm
2705
def
appTerm
2706
def
absTerm
2707
def
1130
ref
appTerm
2708
def
betaConv
301
ref
1127
ref
2706
remove
assume
sym
250
ref
2705
remove
appTerm
1130
ref
appTerm
2709
def
assume
sym
deductAntisym
absThm
appThm
nil
284
ref
1127
ref
2709
remove
absTerm
appTerm
axiom
eqMp
nil
80
ref
284
ref
2707
ref
appTerm
nil
cons
cons
83
ref
2708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2707
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2710
def
subst
appThm
2690
ref
refl
appThm
sym
nil
1227
ref
1228
ref
2581
ref
cons
1226
remove
nil
cons
2711
def
cons
cons
nil
cons
cons
1228
ref
53
ref
1275
remove
1482
remove
1231
ref
appTerm
appTerm
385
ref
1112
ref
appTerm
1231
ref
appTerm
appTerm
appTerm
92
ref
1287
ref
appTerm
15
ref
1310
ref
24
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2712
def
1231
ref
appTerm
2713
def
betaConv
1109
ref
284
ref
2712
ref
appTerm
2714
def
absTerm
2715
def
1112
ref
appTerm
2716
def
betaConv
1127
ref
284
ref
2715
ref
appTerm
2717
def
absTerm
2718
def
1130
ref
appTerm
2719
def
betaConv
nil
284
ref
2718
ref
appTerm
2720
def
axiom
nil
80
ref
2720
remove
nil
cons
cons
83
ref
2719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2718
remove
nil
cons
cons
1139
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2717
remove
nil
cons
cons
83
ref
2716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2715
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2714
remove
nil
cons
cons
83
ref
2713
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2712
remove
nil
cons
cons
1864
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2721
def
subst
sym
236
ref
1124
ref
1126
remove
nil
1109
ref
1129
remove
cons
nil
cons
nil
cons
cons
1165
remove
subst
subst
appThm
1224
remove
trans
2722
def
nil
1127
ref
1125
remove
cons
1109
ref
885
remove
cons
1228
ref
510
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
80
ref
250
ref
1182
ref
appTerm
2723
def
1231
ref
appTerm
2724
def
nil
cons
2725
def
cons
2726
def
83
ref
53
ref
2534
ref
appTerm
64
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
14
ref
2724
ref
appTerm
2727
def
refl
nil
74
ref
2534
remove
nil
cons
cons
nil
cons
nil
cons
cons
1681
remove
subst
nil
1244
remove
1180
ref
cons
nil
cons
cons
1300
remove
subst
trans
1301
remove
1290
ref
1303
remove
nil
1302
remove
1180
remove
cons
nil
cons
cons
1197
remove
subst
appThm
absThm
appThm
trans
appThm
sym
nil
80
ref
2727
remove
1289
ref
1290
ref
1310
remove
1123
ref
1153
ref
1292
ref
appTerm
appTerm
appTerm
2728
def
absTerm
2729
def
appTerm
2730
def
appTerm
2731
def
nil
cons
cons
nil
cons
nil
cons
cons
1329
remove
subst
sym
nil
80
ref
15
ref
2731
remove
appTerm
2732
def
nil
cons
2733
def
cons
187
ref
cons
nil
cons
cons
2734
def
103
ref
subst
2734
remove
129
ref
subst
1340
remove
1341
remove
1342
remove
nil
"_2184"
21
ref
var
2735
def
1117
remove
cons
"_2183"
21
ref
var
2736
def
1138
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
250
ref
442
ref
2736
remove
varTerm
2737
def
appTerm
1112
ref
appTerm
appTerm
1153
ref
2737
ref
appTerm
appTerm
absTerm
2738
def
2735
remove
varTerm
2739
def
appTerm
2740
def
betaConv
1335
remove
2737
ref
appTerm
2741
def
betaConv
nil
1338
remove
83
ref
2741
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
1350
remove
522
ref
2737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
2738
ref
appTerm
nil
cons
cons
83
ref
2740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2738
remove
nil
cons
cons
522
ref
2739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
nil
80
ref
1334
remove
nil
cons
cons
83
ref
2723
ref
1123
ref
1333
ref
appTerm
appTerm
nil
cons
2742
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_9249"
21
ref
var
2743
def
1333
remove
nil
cons
cons
"_9248"
21
ref
var
2744
def
1181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
80
ref
250
ref
2744
remove
varTerm
2745
def
appTerm
2743
remove
varTerm
2746
def
appTerm
2747
def
nil
cons
2748
def
cons
83
ref
250
ref
1123
ref
2745
remove
appTerm
appTerm
1123
ref
2746
remove
appTerm
appTerm
nil
cons
2749
def
cons
nil
cons
cons
nil
cons
cons
2750
def
103
ref
subst
2750
remove
129
ref
subst
1124
remove
2747
remove
assume
appThm
eqMp
nil
147
ref
2748
remove
cons
149
ref
2749
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
80
ref
2742
remove
cons
187
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
"_9241"
21
ref
var
2751
def
1138
remove
cons
nil
cons
nil
cons
cons
nil
80
ref
2723
remove
1123
remove
1153
remove
2751
remove
varTerm
2752
def
appTerm
appTerm
2753
def
appTerm
2754
def
nil
cons
cons
nil
cons
nil
cons
cons
1363
remove
subst
53
ref
"_9246"
21
ref
var
2755
def
15
ref
250
ref
2755
remove
varTerm
appTerm
2753
remove
appTerm
appTerm
absTerm
2756
def
1231
ref
appTerm
2757
def
appTerm
refl
2756
ref
1182
remove
appTerm
betaConv
appThm
104
ref
2757
remove
betaConv
appThm
15
ref
2754
remove
appTerm
refl
appThm
trans
2756
remove
refl
nil
2726
remove
83
ref
2730
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2066
remove
subst
236
ref
2724
remove
refl
appThm
nil
487
ref
2729
ref
nil
cons
cons
nil
cons
nil
cons
cons
1470
remove
subst
301
ref
1290
ref
179
ref
2729
remove
1292
remove
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
2732
remove
assume
eqMp
2758
def
nil
147
ref
2725
remove
cons
149
ref
284
ref
1290
remove
15
ref
2728
remove
appTerm
absTerm
2759
def
appTerm
nil
cons
2760
def
cons
nil
cons
cons
nil
cons
cons
2761
def
161
ref
subst
proveHyp
sym
appThm
eqMp
2759
ref
2752
ref
appTerm
2762
def
betaConv
2758
remove
2761
remove
200
ref
subst
proveHyp
nil
80
ref
2760
remove
cons
83
ref
2762
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2759
remove
nil
cons
cons
522
ref
2752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
1473
remove
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2733
remove
cons
1472
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
2722
remove
eqMp
appThm
2763
def
15
ref
250
ref
762
ref
appTerm
24
ref
appTerm
2764
def
appTerm
2765
def
refl
2766
def
appThm
nil
74
ref
2765
ref
nil
cons
2767
def
cons
nil
cons
nil
cons
cons
245
ref
subst
trans
sym
53
ref
"_30657"
21
ref
var
2768
def
15
ref
250
ref
2768
remove
varTerm
appTerm
24
ref
appTerm
appTerm
absTerm
2769
def
275
ref
appTerm
2770
def
appTerm
refl
2769
ref
2690
ref
appTerm
betaConv
appThm
104
ref
2770
remove
betaConv
appThm
15
ref
250
ref
2690
ref
appTerm
24
ref
appTerm
appTerm
2771
def
refl
appThm
trans
2769
remove
refl
2772
def
2698
ref
appThm
eqMp
2447
remove
assume
eqMp
nil
80
ref
2771
remove
nil
cons
cons
83
ref
2767
ref
cons
nil
cons
2773
def
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
179
ref
nil
2612
remove
1480
ref
cons
nil
cons
cons
1109
ref
53
ref
250
ref
1483
remove
appTerm
24
ref
appTerm
appTerm
585
remove
1481
remove
appTerm
2553
remove
appTerm
appTerm
absTerm
2774
def
1112
ref
appTerm
2775
def
betaConv
1127
ref
284
ref
2774
ref
appTerm
2776
def
absTerm
2777
def
1130
ref
appTerm
2778
def
betaConv
nil
284
ref
2777
ref
appTerm
2779
def
axiom
nil
80
ref
2779
remove
nil
cons
cons
83
ref
2778
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2777
remove
nil
cons
cons
1139
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2776
remove
nil
cons
cons
83
ref
2775
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2774
remove
nil
cons
cons
1118
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2780
def
subst
appThm
nil
1261
ref
2764
remove
nil
cons
cons
1262
ref
1475
remove
nil
cons
cons
nil
cons
2781
def
cons
nil
cons
cons
1261
ref
53
ref
15
ref
2240
remove
appTerm
appTerm
92
ref
1265
remove
appTerm
1266
remove
appTerm
appTerm
absTerm
2782
def
1264
remove
appTerm
2783
def
betaConv
1262
remove
208
ref
2782
ref
appTerm
2784
def
absTerm
2785
def
1263
remove
appTerm
2786
def
betaConv
nil
208
remove
2785
ref
appTerm
2787
def
axiom
nil
80
ref
2787
remove
nil
cons
cons
83
ref
2786
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2785
remove
nil
cons
cons
1273
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2784
remove
nil
cons
cons
83
ref
2783
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
2782
remove
nil
cons
cons
1274
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2788
def
subst
trans
appThm
2766
remove
appThm
sym
nil
80
ref
92
ref
1476
remove
appTerm
2789
def
2765
remove
appTerm
nil
cons
2790
def
cons
2773
remove
cons
nil
cons
cons
2791
def
103
ref
subst
2791
remove
129
ref
subst
nil
147
ref
1477
remove
cons
2792
def
149
ref
2767
remove
cons
nil
cons
2793
def
cons
nil
cons
cons
200
ref
subst
eqMp
nil
147
ref
2790
remove
cons
2793
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
80
ref
2652
remove
466
ref
2690
ref
appTerm
2794
def
appTerm
2795
def
nil
cons
cons
83
ref
2628
ref
cons
nil
cons
2796
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2700
remove
2796
ref
cons
nil
cons
cons
164
ref
subst
178
ref
nil
"c"
21
ref
var
2797
def
2581
remove
cons
2505
ref
510
remove
cons
2798
def
1878
remove
cons
cons
nil
cons
cons
2797
ref
53
ref
250
ref
1880
ref
385
remove
2506
ref
appTerm
2797
ref
varTerm
2799
def
appTerm
2800
def
appTerm
appTerm
256
ref
appTerm
appTerm
92
ref
250
ref
2507
remove
appTerm
2801
def
256
ref
appTerm
appTerm
250
ref
1880
remove
2799
ref
appTerm
appTerm
256
ref
appTerm
appTerm
appTerm
absTerm
2802
def
2799
ref
appTerm
2803
def
betaConv
2505
ref
284
ref
2802
ref
appTerm
2804
def
absTerm
2805
def
2506
ref
appTerm
2806
def
betaConv
1877
ref
284
ref
2805
ref
appTerm
2807
def
absTerm
2808
def
1879
ref
appTerm
2809
def
betaConv
nil
284
ref
2808
ref
appTerm
2810
def
axiom
nil
80
ref
2810
remove
nil
cons
cons
83
ref
2809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2808
remove
nil
cons
cons
1884
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2807
remove
nil
cons
cons
83
ref
2806
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2805
remove
nil
cons
cons
2514
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2804
remove
nil
cons
cons
83
ref
2803
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2802
remove
nil
cons
cons
522
ref
2799
ref
nil
cons
cons
nil
cons
2811
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
2624
ref
refl
appThm
sym
nil
80
ref
92
ref
250
ref
286
ref
387
ref
appTerm
appTerm
256
ref
appTerm
2812
def
appTerm
2624
ref
appTerm
nil
cons
2813
def
cons
2796
remove
cons
nil
cons
cons
2814
def
103
ref
subst
2814
remove
129
ref
subst
nil
147
ref
2812
remove
nil
cons
cons
149
ref
2628
remove
cons
nil
cons
2815
def
cons
nil
cons
cons
200
ref
subst
eqMp
nil
147
ref
2813
remove
cons
2815
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
80
ref
92
ref
2795
remove
appTerm
2624
remove
appTerm
nil
cons
cons
2639
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
2656
remove
2655
ref
14
ref
92
ref
2658
remove
2794
remove
appTerm
2816
def
appTerm
2659
ref
appTerm
appTerm
2660
ref
appTerm
absTerm
2817
def
2657
remove
appTerm
2818
def
betaConv
1962
ref
284
ref
2817
ref
appTerm
2819
def
absTerm
2820
def
1963
ref
appTerm
2821
def
betaConv
301
ref
1962
ref
301
ref
2655
ref
nil
303
ref
2660
remove
nil
cons
cons
83
ref
2659
remove
nil
cons
cons
80
ref
2816
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
323
ref
308
remove
appTerm
2822
def
betaConv
325
ref
89
remove
appTerm
2823
def
betaConv
327
ref
87
remove
appTerm
2824
def
betaConv
329
remove
nil
80
ref
328
remove
nil
cons
cons
83
ref
2824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
327
remove
nil
cons
cons
330
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
326
remove
nil
cons
cons
83
ref
2823
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
325
remove
nil
cons
cons
331
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
324
remove
nil
cons
cons
83
ref
2822
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
211
ref
323
remove
nil
cons
cons
333
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
2825
def
subst
absThm
appThm
absThm
appThm
2670
remove
"_30649"
21
ref
var
2826
def
284
ref
1962
ref
284
ref
761
ref
14
ref
2435
ref
466
remove
2826
remove
varTerm
appTerm
appTerm
appTerm
2323
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2690
remove
appTerm
betaConv
appThm
2671
remove
284
ref
1962
ref
284
ref
2655
remove
14
ref
2816
remove
appTerm
2661
remove
appTerm
absTerm
appTerm
absTerm
appTerm
refl
appThm
trans
2673
remove
2698
remove
appThm
eqMp
2579
ref
eqMp
eqMp
nil
80
ref
284
ref
2820
ref
appTerm
nil
cons
cons
83
ref
2821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2820
remove
nil
cons
cons
2674
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2819
remove
nil
cons
cons
83
ref
2818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2817
remove
nil
cons
cons
2675
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
80
ref
92
ref
2696
remove
appTerm
992
remove
995
remove
2635
remove
appTerm
appTerm
appTerm
nil
cons
cons
2702
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
2676
remove
1914
ref
275
ref
appTerm
2827
def
betaConv
1916
ref
285
ref
appTerm
2828
def
betaConv
nil
80
ref
1945
remove
cons
83
ref
2828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1916
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1915
remove
nil
cons
cons
83
ref
2827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1914
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
2699
remove
cons
149
ref
2701
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2692
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2688
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
522
ref
14
ref
2685
ref
2588
ref
appTerm
appTerm
1932
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
1289
ref
2685
ref
appTerm
appTerm
1932
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2685
remove
nil
cons
cons
2587
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
1559
ref
899
remove
appTerm
2829
def
betaConv
1562
ref
nil
1563
ref
83
ref
2829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1676
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1784
remove
149
ref
2456
remove
cons
2679
ref
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
2452
ref
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
178
ref
1111
remove
2684
remove
subst
appThm
2434
ref
appThm
sym
nil
487
ref
1962
ref
14
ref
1127
ref
888
ref
2680
remove
appTerm
absTerm
2830
def
1963
ref
appTerm
2831
def
appTerm
1932
ref
appTerm
2832
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
495
remove
subst
1962
ref
nil
74
ref
2832
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
2831
ref
nil
cons
2833
def
cons
2438
ref
cons
nil
cons
cons
2834
def
103
ref
subst
2834
remove
129
ref
subst
2831
ref
betaConv
2831
remove
assume
eqMp
nil
80
ref
888
remove
388
remove
1963
ref
appTerm
2835
def
appTerm
2836
def
nil
cons
2837
def
cons
2438
ref
cons
nil
cons
cons
2838
def
164
ref
subst
proveHyp
2838
ref
103
ref
subst
2838
remove
129
ref
subst
2488
remove
"_30611"
21
ref
var
2839
def
14
ref
250
ref
253
ref
2839
remove
varTerm
2840
def
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
appTerm
1901
ref
2840
remove
appTerm
275
ref
appTerm
appTerm
absTerm
2835
ref
appTerm
betaConv
appThm
2489
remove
14
ref
250
ref
253
ref
2835
ref
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
2841
def
appTerm
1901
ref
2835
ref
appTerm
275
ref
appTerm
2842
def
appTerm
refl
appThm
trans
2492
remove
2836
remove
assume
2843
def
appThm
eqMp
sym
nil
80
ref
2841
ref
nil
cons
2844
def
cons
2845
def
83
ref
2842
remove
nil
cons
2846
def
cons
nil
cons
2847
def
cons
nil
cons
cons
2848
def
103
ref
subst
2848
remove
129
ref
subst
236
ref
1159
ref
2841
ref
assume
appThm
746
ref
appThm
1533
remove
trans
appThm
2522
remove
2529
remove
appThm
2531
ref
trans
appThm
2531
remove
trans
sym
nil
1228
ref
2835
ref
nil
cons
cons
2533
remove
cons
nil
cons
cons
2544
remove
subst
sym
2704
remove
nil
1127
ref
2499
ref
cons
nil
cons
nil
cons
cons
2710
remove
subst
appThm
2835
ref
refl
appThm
sym
nil
1227
remove
1228
ref
2499
ref
cons
2711
remove
cons
cons
nil
cons
cons
2721
remove
subst
sym
2763
remove
15
ref
250
ref
1963
remove
appTerm
24
ref
appTerm
2849
def
appTerm
2850
def
refl
2851
def
appThm
nil
74
ref
2850
ref
nil
cons
2852
def
cons
nil
cons
nil
cons
cons
245
remove
subst
trans
sym
53
ref
"_30631"
21
ref
var
2853
def
15
ref
250
ref
2853
remove
varTerm
appTerm
24
ref
appTerm
appTerm
absTerm
2854
def
285
ref
appTerm
2855
def
appTerm
refl
2854
remove
2835
ref
appTerm
betaConv
appThm
104
ref
2855
remove
betaConv
appThm
15
ref
250
ref
2835
ref
appTerm
24
ref
appTerm
appTerm
2856
def
refl
appThm
trans
2772
remove
2843
ref
appThm
eqMp
2443
remove
assume
eqMp
nil
80
ref
2856
remove
nil
cons
cons
83
ref
2852
ref
cons
nil
cons
2857
def
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
179
ref
nil
2500
remove
1480
remove
cons
nil
cons
cons
2780
remove
subst
appThm
nil
1261
remove
2849
remove
nil
cons
cons
2781
remove
cons
nil
cons
cons
2788
remove
subst
trans
appThm
2851
remove
appThm
sym
nil
80
ref
2789
remove
2850
remove
appTerm
nil
cons
2858
def
cons
2857
remove
cons
nil
cons
cons
2859
def
103
ref
subst
2859
remove
129
ref
subst
nil
2792
remove
149
ref
2852
remove
cons
nil
cons
2860
def
cons
nil
cons
cons
200
ref
subst
eqMp
nil
147
ref
2858
remove
cons
2860
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
80
ref
2558
remove
442
ref
2835
ref
appTerm
275
ref
appTerm
2861
def
appTerm
2862
def
nil
cons
cons
83
ref
2517
ref
cons
nil
cons
2863
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2845
remove
2863
ref
cons
nil
cons
cons
164
ref
subst
178
ref
nil
1877
ref
620
remove
cons
2864
def
2797
ref
2499
remove
cons
2798
remove
nil
cons
cons
cons
nil
cons
cons
2797
remove
53
ref
250
ref
253
ref
2800
remove
appTerm
1879
ref
appTerm
appTerm
256
ref
appTerm
appTerm
92
ref
250
ref
253
ref
2506
ref
appTerm
1879
ref
appTerm
2865
def
appTerm
256
ref
appTerm
appTerm
250
ref
253
ref
2799
ref
appTerm
1879
ref
appTerm
appTerm
256
ref
appTerm
appTerm
appTerm
absTerm
2866
def
2799
remove
appTerm
2867
def
betaConv
2505
ref
284
ref
2866
ref
appTerm
2868
def
absTerm
2869
def
2506
ref
appTerm
2870
def
betaConv
1877
ref
284
ref
2869
ref
appTerm
2871
def
absTerm
2872
def
1879
ref
appTerm
2873
def
betaConv
nil
284
ref
2872
ref
appTerm
2874
def
axiom
nil
80
ref
2874
remove
nil
cons
cons
83
ref
2873
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2872
remove
nil
cons
cons
1884
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2871
remove
nil
cons
cons
83
ref
2870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2869
remove
nil
cons
cons
2514
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2868
remove
nil
cons
cons
83
ref
2867
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2866
remove
nil
cons
cons
2811
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
2314
ref
refl
appThm
sym
nil
80
ref
92
ref
250
ref
253
ref
387
remove
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
2875
def
appTerm
2314
ref
appTerm
nil
cons
2876
def
cons
2863
remove
cons
nil
cons
cons
2877
def
103
ref
subst
2877
remove
129
ref
subst
nil
147
ref
2875
remove
nil
cons
cons
149
ref
2517
remove
cons
nil
cons
2878
def
cons
nil
cons
cons
200
remove
subst
eqMp
nil
147
ref
2876
remove
cons
2878
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
80
ref
92
ref
2862
remove
appTerm
2314
remove
appTerm
nil
cons
cons
2532
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
2561
remove
761
ref
14
ref
92
ref
2563
remove
2861
remove
appTerm
2879
def
appTerm
2564
ref
appTerm
appTerm
2565
ref
appTerm
absTerm
2880
def
762
remove
appTerm
2881
def
betaConv
2560
ref
284
ref
2880
ref
appTerm
2882
def
absTerm
2883
def
2562
remove
appTerm
2884
def
betaConv
301
ref
2560
ref
301
ref
761
ref
nil
303
ref
2565
remove
nil
cons
cons
83
ref
2564
remove
nil
cons
cons
80
ref
2879
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
2825
remove
subst
absThm
appThm
absThm
appThm
2575
remove
"_30625"
21
ref
var
2885
def
284
ref
1962
ref
284
ref
761
ref
14
ref
2435
remove
442
remove
2885
remove
varTerm
appTerm
275
ref
appTerm
appTerm
appTerm
2323
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2835
remove
appTerm
betaConv
appThm
2576
remove
284
ref
2560
remove
284
ref
761
ref
14
ref
2879
remove
appTerm
2566
remove
appTerm
absTerm
appTerm
absTerm
appTerm
refl
appThm
trans
2578
remove
2843
remove
appThm
eqMp
2579
remove
eqMp
eqMp
nil
80
ref
284
ref
2883
ref
appTerm
nil
cons
cons
83
ref
2884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2883
remove
nil
cons
cons
2580
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2882
remove
nil
cons
cons
83
ref
2881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2880
remove
nil
cons
cons
2582
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
80
ref
92
ref
2841
remove
appTerm
976
remove
2317
remove
appTerm
appTerm
nil
cons
cons
2847
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
2583
remove
1910
ref
275
ref
appTerm
2886
def
betaConv
1912
ref
285
ref
appTerm
2887
def
betaConv
nil
80
ref
1943
remove
cons
83
ref
2887
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1912
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
1911
remove
nil
cons
cons
83
ref
2886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
1910
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
147
ref
2844
remove
cons
149
ref
2846
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2837
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
2833
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
522
ref
14
ref
2830
ref
2588
ref
appTerm
appTerm
1932
ref
appTerm
absTerm
appTerm
nil
cons
cons
83
ref
14
ref
1289
remove
2830
ref
appTerm
appTerm
1932
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2830
remove
nil
cons
cons
2587
ref
cons
nil
cons
cons
2309
ref
subst
eqMp
eqMp
1559
ref
894
remove
appTerm
2888
def
betaConv
1562
ref
nil
1563
ref
83
ref
2888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1655
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1656
remove
149
ref
2452
remove
cons
2679
ref
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
2448
ref
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
1870
remove
2438
ref
cons
nil
cons
cons
2889
def
103
ref
subst
2889
remove
129
ref
subst
178
ref
1159
ref
286
ref
refl
2890
def
1876
ref
appThm
1885
remove
trans
appThm
746
ref
appThm
1057
remove
trans
appThm
1905
ref
refl
2891
def
1876
remove
appThm
appThm
nil
74
ref
1905
remove
24
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2029
ref
subst
trans
sym
78
ref
eqMp
eqMp
nil
1886
ref
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
1868
remove
appTerm
2892
def
betaConv
1562
ref
nil
1563
ref
83
ref
2892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1869
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1886
remove
149
ref
2448
remove
cons
2679
ref
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
2444
ref
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
2650
ref
cons
2438
ref
cons
nil
cons
cons
2893
def
103
ref
subst
2893
remove
129
ref
subst
178
ref
1159
ref
253
ref
refl
2894
def
2442
ref
assume
2895
def
appThm
740
ref
appThm
nil
2864
remove
nil
cons
nil
cons
cons
1877
ref
250
ref
253
ref
24
ref
appTerm
1879
ref
appTerm
appTerm
1879
ref
appTerm
absTerm
2896
def
1879
ref
appTerm
2897
def
betaConv
nil
284
ref
2896
ref
appTerm
2898
def
axiom
nil
80
ref
2898
remove
nil
cons
cons
83
ref
2897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2896
remove
nil
cons
cons
1884
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
trans
appThm
746
ref
appThm
1107
remove
trans
appThm
1901
ref
refl
2899
def
2895
remove
appThm
740
ref
appThm
appThm
nil
74
ref
1901
remove
24
remove
appTerm
275
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2029
remove
subst
trans
sym
78
ref
eqMp
eqMp
nil
2651
ref
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
2442
remove
appTerm
2900
def
betaConv
1562
ref
nil
1563
ref
83
ref
2900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
2650
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
2651
remove
149
ref
2444
remove
cons
2679
ref
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1082
remove
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1105
ref
cons
2438
ref
cons
nil
cons
cons
2901
def
103
ref
subst
2901
remove
129
ref
subst
178
ref
1159
ref
2890
remove
891
ref
assume
2902
def
appThm
appThm
746
ref
appThm
appThm
2891
remove
2902
remove
appThm
appThm
sym
nil
80
ref
250
ref
286
remove
256
ref
appTerm
appTerm
256
ref
appTerm
nil
cons
2903
def
cons
83
ref
1906
remove
nil
cons
2904
def
cons
nil
cons
2905
def
cons
nil
cons
cons
2906
def
103
ref
subst
2906
remove
129
ref
subst
nil
1050
remove
2905
remove
cons
nil
cons
cons
164
ref
subst
1907
ref
285
ref
appTerm
2907
def
betaConv
nil
80
ref
1941
remove
cons
83
ref
2907
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1907
remove
nil
cons
cons
924
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2903
remove
cons
149
ref
2904
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1106
ref
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
ref
891
remove
appTerm
2908
def
betaConv
1562
ref
nil
1563
ref
83
ref
2908
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
ref
1564
ref
212
ref
1105
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1106
remove
149
ref
1081
remove
cons
2679
ref
cons
cons
nil
cons
cons
1443
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
1076
remove
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
nil
80
ref
1055
ref
cons
2438
ref
cons
nil
cons
cons
2909
def
103
ref
subst
2909
remove
129
ref
subst
178
ref
1159
ref
2894
remove
889
ref
assume
2910
def
appThm
740
ref
appThm
appThm
746
ref
appThm
appThm
2899
remove
2910
remove
appThm
740
ref
appThm
nil
74
ref
1902
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
1903
ref
275
ref
appTerm
2911
def
betaConv
nil
80
ref
1939
remove
cons
83
ref
2911
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
381
ref
487
ref
1903
remove
nil
cons
cons
925
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
trans
appThm
nil
74
ref
250
ref
253
ref
256
ref
appTerm
275
ref
appTerm
appTerm
256
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2232
remove
subst
trans
sym
78
ref
eqMp
eqMp
nil
1056
ref
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
1559
remove
889
remove
appTerm
2912
def
betaConv
1562
remove
nil
1563
remove
83
ref
2912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
210
remove
1564
remove
212
remove
1055
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
1056
remove
149
ref
1049
remove
cons
2679
remove
cons
cons
nil
cons
cons
1443
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
2437
remove
cons
2587
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
80
ref
284
ref
1957
remove
appTerm
nil
cons
cons
2438
ref
cons
nil
cons
cons
164
ref
subst
proveHyp
178
ref
104
ref
301
ref
"_30610"
21
remove
var
2913
def
178
ref
2913
ref
284
ref
1127
ref
14
ref
1286
remove
2913
ref
varTerm
2914
def
appTerm
appTerm
2915
def
1953
remove
appTerm
absTerm
appTerm
2916
def
absTerm
2917
def
2914
ref
appTerm
betaConv
appThm
2918
def
301
ref
282
ref
2913
ref
282
ref
284
ref
274
ref
14
ref
250
ref
2914
ref
appTerm
467
ref
appTerm
appTerm
1932
remove
appTerm
2919
def
absTerm
2920
def
appTerm
absTerm
2921
def
absTerm
2922
def
2914
ref
appTerm
betaConv
1891
remove
appThm
2921
ref
285
ref
appTerm
betaConv
trans
2923
def
absThm
appThm
appThm
absThm
appThm
appThm
301
ref
282
ref
301
ref
2913
ref
2918
ref
2923
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
487
ref
2917
ref
nil
cons
cons
2924
def
1965
ref
2922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2310
ref
subst
eqMp
301
ref
282
remove
104
ref
301
ref
2913
ref
2918
ref
301
ref
274
ref
2913
ref
2920
ref
absTerm
2925
def
2914
ref
appTerm
betaConv
740
remove
appThm
2920
remove
275
ref
appTerm
betaConv
trans
2926
def
absThm
appThm
appThm
absThm
appThm
appThm
301
ref
274
ref
301
ref
2913
ref
2918
ref
2926
remove
appThm
absThm
appThm
absThm
appThm
appThm
nil
2924
ref
1965
remove
2925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2310
remove
subst
eqMp
301
ref
274
remove
104
ref
301
ref
2913
ref
2918
remove
2919
remove
refl
appThm
absThm
appThm
appThm
178
ref
2917
remove
467
ref
appTerm
betaConv
appThm
2434
ref
appThm
appThm
nil
2924
remove
2586
remove
2324
remove
1787
ref
cons
nil
cons
cons
cons
nil
cons
cons
2433
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
2434
remove
appThm
nil
80
ref
284
ref
2913
ref
14
ref
2916
remove
appTerm
284
ref
2921
remove
appTerm
2927
def
appTerm
absTerm
appTerm
nil
cons
2928
def
cons
2929
def
2438
ref
cons
nil
cons
cons
2930
def
103
ref
subst
2930
remove
129
ref
subst
769
remove
nil
80
ref
1788
ref
467
ref
appTerm
nil
cons
cons
2438
remove
cons
nil
cons
cons
164
ref
subst
proveHyp
761
ref
14
ref
1788
ref
2594
remove
appTerm
appTerm
2654
remove
appTerm
absTerm
2931
def
275
remove
appTerm
2932
def
betaConv
1962
remove
284
ref
761
remove
14
ref
1788
remove
2322
remove
appTerm
appTerm
2323
remove
appTerm
absTerm
appTerm
absTerm
2933
def
285
remove
appTerm
2934
def
betaConv
2913
ref
2927
remove
absTerm
2935
def
467
remove
appTerm
2936
def
betaConv
nil
2929
remove
83
ref
284
ref
2935
ref
appTerm
nil
cons
2937
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
178
ref
301
ref
2913
ref
178
remove
301
ref
1127
ref
2915
remove
refl
2935
ref
1130
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2935
ref
2914
remove
appTerm
betaConv
2938
def
appThm
absThm
appThm
appThm
301
ref
2913
remove
2938
remove
absThm
appThm
appThm
nil
1202
ref
2935
remove
nil
cons
2939
def
cons
nil
cons
nil
cons
cons
1202
remove
14
ref
284
ref
1109
ref
14
ref
284
ref
1127
remove
14
ref
1287
remove
appTerm
1204
ref
1130
remove
appTerm
appTerm
absTerm
appTerm
appTerm
1205
remove
appTerm
absTerm
appTerm
appTerm
1206
remove
appTerm
absTerm
2940
def
1204
remove
appTerm
2941
def
betaConv
nil
1209
remove
2940
ref
appTerm
2942
def
axiom
nil
80
ref
2942
remove
nil
cons
cons
83
ref
2941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
1211
remove
1212
remove
2940
remove
nil
cons
cons
1213
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
80
ref
2937
remove
cons
83
ref
2936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2939
remove
cons
522
ref
1787
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
2933
ref
appTerm
nil
cons
cons
83
ref
2934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2933
remove
nil
cons
cons
924
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
2931
ref
appTerm
nil
cons
cons
83
ref
2932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2931
remove
nil
cons
cons
925
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2928
remove
cons
2587
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
1931
remove
cons
149
ref
1937
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
2943
def
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
147
ref
836
remove
cons
149
ref
839
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
2944
def
subst
eqMp
eqMp
eqMp
2945
def
nil
80
ref
284
ref
299
ref
appTerm
2946
def
nil
cons
cons
83
ref
300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
299
remove
nil
cons
cons
522
ref
39
ref
nil
cons
2947
def
cons
nil
cons
2948
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
284
ref
280
ref
appTerm
nil
cons
cons
83
ref
281
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
280
remove
nil
cons
cons
522
ref
41
ref
nil
cons
2949
def
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
272
ref
appTerm
nil
cons
cons
83
ref
273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
272
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
9
ref
267
ref
appTerm
nil
cons
cons
83
ref
268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
267
remove
nil
cons
cons
6
ref
25
ref
nil
cons
cons
nil
cons
2950
def
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
14
ref
258
ref
18
ref
260
ref
25
ref
appTerm
appTerm
265
remove
appTerm
appTerm
2951
def
appTerm
92
ref
18
ref
260
remove
44
ref
appTerm
appTerm
32
ref
appTerm
2952
def
appTerm
18
ref
264
remove
44
ref
appTerm
appTerm
25
ref
appTerm
2953
def
appTerm
2954
def
appTerm
2955
def
nil
cons
cons
83
ref
240
ref
cons
nil
cons
2956
def
cons
nil
cons
cons
164
ref
subst
proveHyp
258
remove
refl
334
ref
nil
6
ref
259
remove
nil
cons
cons
nil
cons
nil
cons
cons
6
ref
18
ref
175
remove
25
ref
appTerm
appTerm
25
ref
appTerm
absTerm
2957
def
32
ref
appTerm
2958
def
betaConv
nil
9
ref
2957
ref
appTerm
2959
def
axiom
nil
80
ref
2959
remove
nil
cons
cons
83
ref
2958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
2957
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
505
ref
nil
18
ref
263
remove
appTerm
25
ref
appTerm
axiom
appThm
32
ref
refl
2960
def
appThm
6
ref
18
ref
132
ref
25
ref
appTerm
32
ref
appTerm
appTerm
25
ref
appTerm
absTerm
2961
def
32
ref
appTerm
2962
def
betaConv
nil
9
ref
2961
ref
appTerm
2963
def
axiom
nil
80
ref
2963
remove
nil
cons
cons
83
ref
2962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
2961
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
trans
appThm
nil
2950
remove
nil
cons
cons
355
remove
subst
trans
appThm
nil
74
ref
257
remove
nil
cons
cons
nil
cons
nil
cons
cons
368
remove
subst
trans
sym
1159
remove
nil
2505
ref
2949
ref
cons
1877
ref
2947
ref
cons
nil
cons
cons
nil
cons
cons
2505
remove
2801
remove
2865
remove
appTerm
absTerm
2964
def
2506
remove
appTerm
2965
def
betaConv
1877
remove
284
ref
2964
ref
appTerm
2966
def
absTerm
2967
def
1879
remove
appTerm
2968
def
betaConv
nil
284
ref
2967
ref
appTerm
2969
def
axiom
nil
80
ref
2969
remove
nil
cons
cons
83
ref
2968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2967
remove
nil
cons
cons
1884
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2966
remove
nil
cons
cons
83
ref
2965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2964
remove
nil
cons
cons
2514
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
appThm
746
remove
appThm
sym
236
remove
nil
74
ref
"Number.Natural.prime"
const
247
remove
constTerm
2970
def
41
ref
appTerm
2971
def
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
2971
ref
axiom
eqMp
appThm
179
remove
nil
2948
remove
nil
cons
cons
522
ref
53
ref
"Number.Natural.divides"
const
249
ref
constTerm
2972
def
41
ref
appTerm
2973
def
2588
ref
appTerm
2974
def
appTerm
18
ref
23
ref
2588
ref
appTerm
appTerm
25
ref
appTerm
2975
def
appTerm
2976
def
absTerm
2977
def
2588
ref
appTerm
2978
def
betaConv
301
remove
522
ref
2976
remove
assume
sym
53
ref
2975
remove
appTerm
2974
remove
appTerm
2979
def
assume
sym
deductAntisym
absThm
appThm
nil
284
ref
522
ref
2979
remove
absTerm
appTerm
axiom
eqMp
nil
80
ref
284
ref
2977
ref
appTerm
nil
cons
cons
83
ref
2978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2977
remove
nil
cons
cons
522
remove
2588
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
334
ref
nil
166
ref
nil
cons
cons
2980
def
6
ref
18
ref
23
remove
38
remove
32
ref
appTerm
appTerm
appTerm
32
ref
appTerm
absTerm
2981
def
32
ref
appTerm
2982
def
betaConv
nil
9
ref
2981
ref
appTerm
2983
def
axiom
nil
80
ref
2983
remove
nil
cons
cons
83
ref
2982
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
2981
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
2984
def
appThm
25
remove
refl
appThm
215
remove
trans
trans
appThm
217
remove
trans
appThm
697
remove
trans
sym
78
remove
eqMp
nil
80
ref
92
ref
2971
remove
appTerm
15
ref
2973
remove
39
ref
appTerm
appTerm
appTerm
nil
cons
cons
83
ref
250
ref
253
ref
41
remove
appTerm
39
remove
appTerm
appTerm
256
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
1109
ref
2947
remove
cons
1228
ref
2949
remove
cons
nil
cons
cons
nil
cons
cons
1109
remove
14
ref
92
ref
2970
remove
1231
ref
appTerm
appTerm
15
remove
2972
remove
1231
ref
appTerm
1112
ref
appTerm
appTerm
appTerm
appTerm
250
remove
253
remove
1231
ref
appTerm
1112
ref
appTerm
appTerm
256
remove
appTerm
appTerm
absTerm
2985
def
1112
remove
appTerm
2986
def
betaConv
1228
remove
284
ref
2985
ref
appTerm
2987
def
absTerm
2988
def
1231
remove
appTerm
2989
def
betaConv
nil
284
remove
2988
ref
appTerm
2990
def
axiom
nil
80
ref
2990
remove
nil
cons
cons
83
ref
2989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
ref
487
ref
2988
remove
nil
cons
cons
1864
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
2987
remove
nil
cons
cons
83
ref
2986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
381
remove
487
remove
2985
remove
nil
cons
cons
1118
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
80
ref
2951
ref
nil
cons
cons
2991
def
83
ref
14
ref
2954
ref
appTerm
239
ref
appTerm
2992
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
80
ref
2954
remove
nil
cons
2993
def
cons
2956
remove
cons
nil
cons
cons
2994
def
103
ref
subst
2994
remove
129
ref
subst
53
ref
"_30741"
1
remove
var
2995
def
237
ref
2995
remove
varTerm
appTerm
absTerm
2996
def
238
remove
appTerm
2997
def
appTerm
refl
2996
ref
32
ref
appTerm
betaConv
appThm
104
remove
2997
remove
betaConv
appThm
237
remove
32
ref
appTerm
refl
appThm
trans
2996
remove
refl
334
ref
505
remove
2984
remove
appThm
44
ref
refl
appThm
appThm
2960
ref
appThm
nil
147
ref
2952
remove
nil
cons
cons
149
ref
2953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
eqMp
appThm
eqMp
sym
334
ref
nil
10
ref
176
remove
nil
cons
cons
2998
def
166
ref
cons
nil
cons
cons
569
remove
subst
appThm
2960
ref
appThm
sym
334
remove
nil
527
ref
165
remove
cons
10
ref
134
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
578
remove
subst
appThm
2960
remove
appThm
nil
10
ref
132
ref
134
remove
appTerm
19
ref
appTerm
2999
def
nil
cons
cons
nil
cons
nil
cons
cons
10
ref
53
remove
561
remove
32
ref
appTerm
appTerm
586
remove
20
remove
339
ref
appTerm
appTerm
appTerm
absTerm
3000
def
19
ref
appTerm
3001
def
betaConv
6
ref
9
ref
3000
ref
appTerm
3002
def
absTerm
3003
def
32
ref
appTerm
3004
def
betaConv
nil
9
ref
3003
ref
appTerm
3005
def
axiom
nil
80
ref
3005
remove
nil
cons
cons
83
ref
3004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
3003
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
3002
remove
nil
cons
cons
83
ref
3001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
3000
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
trans
sym
nil
82
remove
83
ref
18
ref
2999
remove
appTerm
339
ref
appTerm
nil
cons
3006
def
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
2980
remove
6
ref
139
remove
18
remove
132
remove
143
remove
appTerm
32
ref
appTerm
appTerm
339
remove
appTerm
appTerm
absTerm
3007
def
32
ref
appTerm
3008
def
betaConv
nil
9
ref
3007
ref
appTerm
3009
def
axiom
nil
80
ref
3009
remove
nil
cons
cons
83
ref
3008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
3007
remove
nil
cons
cons
174
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
subst
eqMp
nil
147
ref
137
remove
nil
cons
cons
149
ref
3006
remove
cons
nil
cons
cons
nil
cons
cons
1442
remove
sym
nil
211
ref
74
ref
14
ref
202
remove
75
ref
appTerm
3010
def
appTerm
14
ref
1431
remove
75
ref
appTerm
3011
def
appTerm
75
remove
appTerm
3012
def
appTerm
3013
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1327
remove
72
ref
subst
3014
def
subst
74
ref
nil
74
ref
3013
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
3010
remove
nil
cons
3015
def
cons
83
ref
3012
remove
nil
cons
3016
def
cons
nil
cons
cons
nil
cons
cons
3017
def
103
ref
subst
3017
remove
129
ref
subst
nil
80
ref
3011
ref
nil
cons
3018
def
cons
83
ref
224
ref
cons
nil
cons
3019
def
cons
nil
cons
cons
3020
def
103
ref
subst
3020
remove
129
ref
subst
nil
80
ref
2292
remove
cons
3019
remove
cons
nil
cons
cons
164
ref
subst
3011
remove
assume
eqMp
eqMp
nil
147
ref
3018
remove
cons
149
ref
224
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
3015
remove
cons
149
ref
3016
remove
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
eqMp
eqMp
eqMp
nil
147
ref
2993
ref
cons
149
ref
240
ref
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
92
ref
2951
remove
appTerm
2992
remove
appTerm
nil
cons
cons
83
ref
14
ref
2955
remove
appTerm
239
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
303
remove
240
remove
cons
83
ref
2993
remove
cons
2991
remove
nil
cons
cons
cons
nil
cons
cons
709
remove
subst
eqMp
eqMp
eqMp
eqMp
50
ref
5
ref
235
ref
nil
cons
cons
166
ref
cons
nil
cons
cons
2303
remove
sym
nil
211
remove
149
ref
14
ref
2283
remove
appTerm
153
remove
appTerm
3021
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3014
remove
subst
149
ref
nil
74
ref
3021
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
2295
ref
103
ref
subst
2295
remove
129
ref
subst
nil
2012
remove
2293
remove
cons
nil
cons
cons
164
ref
subst
2282
ref
168
remove
appTerm
3022
def
betaConv
nil
2285
remove
83
ref
3022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
955
remove
58
remove
2282
remove
nil
cons
cons
63
remove
2189
remove
cons
nil
cons
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2308
remove
2307
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
nil
80
ref
1288
remove
8
remove
constTerm
3023
def
235
remove
appTerm
nil
cons
cons
83
ref
231
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
nil
527
ref
44
remove
nil
cons
cons
2998
remove
nil
cons
cons
nil
cons
cons
527
ref
14
ref
3023
remove
6
ref
92
remove
138
remove
appTerm
584
remove
appTerm
3024
def
absTerm
3025
def
appTerm
3026
def
appTerm
3027
def
587
ref
appTerm
3028
def
absTerm
3029
def
534
ref
appTerm
3030
def
betaConv
10
ref
9
ref
3029
ref
appTerm
3031
def
absTerm
3032
def
19
ref
appTerm
3033
def
betaConv
nil
9
ref
6
ref
9
ref
10
ref
9
ref
527
ref
14
ref
3024
ref
appTerm
587
ref
appTerm
absTerm
3034
def
appTerm
3035
def
absTerm
3036
def
appTerm
3037
def
absTerm
3038
def
appTerm
3039
def
axiom
nil
80
ref
3039
ref
nil
cons
3040
def
cons
3041
def
83
ref
9
ref
3032
ref
appTerm
nil
cons
3042
def
cons
nil
cons
cons
nil
cons
cons
3043
def
164
ref
subst
proveHyp
3043
ref
103
ref
subst
3043
remove
129
ref
subst
nil
5
ref
3032
remove
nil
cons
cons
3044
def
nil
cons
nil
cons
cons
73
ref
subst
10
remove
nil
74
ref
3031
remove
nil
cons
3045
def
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
5
ref
3029
remove
nil
cons
cons
3046
def
nil
cons
nil
cons
cons
73
ref
subst
527
remove
nil
74
ref
3028
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
3026
remove
nil
cons
3047
def
cons
3048
def
83
ref
587
ref
nil
cons
3049
def
cons
nil
cons
3050
def
cons
nil
cons
cons
3051
def
103
ref
subst
3051
remove
129
ref
subst
nil
3041
ref
3050
ref
cons
nil
cons
cons
3052
def
164
ref
subst
nil
3048
remove
83
ref
14
ref
3039
remove
appTerm
587
remove
appTerm
3053
def
nil
cons
3054
def
cons
nil
cons
3055
def
cons
nil
cons
cons
164
ref
subst
nil
5
ref
6
ref
14
ref
3025
ref
32
ref
appTerm
3056
def
appTerm
3053
ref
appTerm
3057
def
absTerm
3058
def
nil
cons
cons
nil
cons
nil
cons
cons
73
remove
subst
6
remove
nil
74
ref
3057
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
nil
80
ref
3056
ref
nil
cons
3059
def
cons
3055
ref
cons
nil
cons
cons
3060
def
103
ref
subst
3060
remove
129
ref
subst
3056
ref
betaConv
3056
remove
assume
eqMp
nil
80
ref
3024
remove
nil
cons
3061
def
cons
3062
def
3055
remove
cons
nil
cons
cons
3063
def
164
ref
subst
proveHyp
3063
ref
103
ref
subst
3063
remove
129
ref
subst
3052
ref
103
remove
subst
3052
remove
129
remove
subst
nil
3062
remove
3050
remove
cons
nil
cons
cons
164
ref
subst
3034
ref
534
remove
appTerm
3064
def
betaConv
3036
ref
19
remove
appTerm
3065
def
betaConv
3038
ref
32
remove
appTerm
3066
def
betaConv
nil
3041
remove
83
ref
3066
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
50
ref
5
ref
3038
remove
nil
cons
cons
174
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
3037
remove
nil
cons
cons
83
ref
3065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
3036
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
ref
3035
remove
nil
cons
cons
83
ref
3064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
ref
3034
remove
nil
cons
cons
555
ref
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
147
ref
3040
remove
cons
3067
def
149
ref
3049
remove
cons
nil
cons
3068
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
147
ref
3061
remove
cons
149
ref
3054
remove
cons
nil
cons
3069
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
147
ref
3059
remove
cons
3069
ref
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
80
ref
9
ref
3058
remove
appTerm
nil
cons
cons
83
ref
3027
remove
3053
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
5
remove
3025
remove
nil
cons
cons
3069
remove
cons
nil
cons
cons
2309
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
147
ref
3047
remove
cons
3068
remove
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3067
remove
149
ref
3042
ref
cons
nil
cons
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
nil
80
ref
3042
remove
cons
83
ref
3033
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
ref
subst
proveHyp
50
ref
3044
remove
166
remove
cons
nil
cons
cons
173
ref
subst
eqMp
eqMp
nil
80
remove
3045
remove
cons
83
remove
3030
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
164
remove
subst
proveHyp
50
remove
3046
remove
555
remove
cons
nil
cons
cons
173
remove
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
147
ref
219
remove
cons
149
remove
84
remove
cons
nil
cons
3070
def
cons
nil
cons
cons
161
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
147
remove
81
remove
cons
3070
remove
cons
nil
cons
cons
161
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
9
remove
49
remove
appTerm
thm
2945
remove
nil
2946
remove
thm
nil
"P"
0
ref
249
ref
3
ref
cons
opType
3071
def
var
1900
ref
14
ref
1930
remove
appTerm
1936
remove
appTerm
3072
def
absTerm
3073
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
249
remove
nil
cons
cons
nil
cons
51
ref
cons
72
ref
subst
subst
1900
remove
nil
74
ref
3072
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
ref
subst
2943
remove
eqMp
absThm
eqMp
nil
7
ref
0
ref
3071
remove
3
ref
cons
opType
constTerm
3073
remove
appTerm
thm
nil
"P"
0
ref
773
ref
3
ref
cons
opType
3074
def
var
774
ref
14
remove
835
remove
appTerm
838
remove
appTerm
3075
def
absTerm
3076
def
nil
cons
cons
nil
cons
nil
cons
cons
"A"
773
remove
nil
cons
cons
nil
cons
51
remove
cons
72
remove
subst
subst
774
remove
nil
74
remove
3075
remove
nil
cons
cons
nil
cons
nil
cons
cons
79
remove
subst
2944
remove
eqMp
absThm
eqMp
nil
7
remove
0
remove
3074
remove
3
remove
cons
opType
constTerm
3076
remove
appTerm
thm