6
version
nil
"l"
"Data.List.list"
typeOp
0
def
"bool"
typeOp
nil
opType
1
def
nil
cons
2
def
opType
3
def
var
4
def
"Data.List.[]"
const
5
def
3
ref
constTerm
6
def
nil
cons
7
def
cons
nil
cons
8
def
nil
cons
cons
4
ref
"="
const
9
def
"->"
typeOp
10
def
"Number.Natural.natural"
typeOp
nil
opType
11
def
10
ref
11
ref
2
ref
cons
opType
12
def
nil
cons
13
def
cons
opType
14
def
constTerm
15
def
"Number.Natural.Fibonacci.decode"
const
10
ref
3
ref
11
ref
nil
cons
16
def
cons
opType
17
def
constTerm
18
def
4
ref
varTerm
19
def
appTerm
20
def
appTerm
"Number.Natural.Fibonacci.decode.dest"
const
10
ref
11
ref
10
ref
11
ref
17
ref
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
21
def
"Number.Natural.bit1"
const
10
ref
11
ref
16
ref
cons
22
def
opType
23
def
constTerm
24
def
"Number.Natural.zero"
const
11
ref
constTerm
25
def
appTerm
26
def
appTerm
25
ref
appTerm
27
def
19
ref
appTerm
appTerm
absTerm
28
def
19
ref
appTerm
29
def
betaConv
nil
"Data.Bool.!"
const
30
def
10
ref
10
ref
3
ref
2
ref
cons
opType
31
def
2
ref
cons
opType
32
def
constTerm
33
def
28
ref
appTerm
34
def
axiom
nil
"p"
1
ref
var
35
def
34
remove
nil
cons
cons
"q"
1
ref
var
36
def
29
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9
ref
10
ref
1
ref
10
ref
1
ref
2
ref
cons
opType
37
def
nil
cons
cons
opType
38
def
constTerm
39
def
"Data.Bool.==>"
const
38
ref
constTerm
40
def
35
ref
varTerm
41
def
appTerm
42
def
36
ref
varTerm
43
def
appTerm
44
def
appTerm
45
def
refl
35
ref
36
ref
39
ref
"Data.Bool./\\"
const
38
ref
constTerm
46
def
41
ref
appTerm
47
def
43
ref
appTerm
48
def
appTerm
49
def
41
ref
appTerm
absTerm
50
def
absTerm
51
def
41
ref
appTerm
betaConv
43
ref
refl
52
def
appThm
50
remove
43
ref
appTerm
betaConv
trans
appThm
nil
9
ref
10
ref
38
ref
10
ref
38
ref
2
ref
cons
opType
53
def
nil
cons
cons
opType
constTerm
54
def
40
ref
appTerm
51
remove
appTerm
axiom
41
ref
refl
55
def
appThm
52
ref
appThm
eqMp
56
def
sym
57
def
49
remove
refl
36
ref
9
ref
10
ref
53
ref
10
ref
53
remove
2
ref
cons
opType
nil
cons
cons
opType
constTerm
58
def
"f"
38
ref
var
59
def
59
ref
varTerm
60
def
41
ref
appTerm
43
ref
appTerm
absTerm
61
def
appTerm
59
ref
60
ref
"Data.Bool.T"
const
1
ref
constTerm
62
def
appTerm
62
ref
appTerm
absTerm
63
def
appTerm
absTerm
64
def
43
ref
appTerm
betaConv
appThm
9
ref
10
ref
37
ref
10
ref
37
ref
2
ref
cons
opType
65
def
nil
cons
cons
opType
constTerm
66
def
47
ref
appTerm
refl
35
ref
64
remove
absTerm
67
def
41
ref
appTerm
betaConv
appThm
nil
54
ref
46
ref
appTerm
67
ref
appTerm
axiom
68
def
55
remove
appThm
eqMp
52
ref
appThm
eqMp
69
def
sym
59
ref
60
ref
refl
nil
"t"
1
ref
var
70
def
41
ref
nil
cons
71
def
cons
nil
cons
nil
cons
cons
72
def
39
ref
70
ref
varTerm
73
def
appTerm
74
def
62
ref
appTerm
75
def
assume
sym
nil
62
ref
axiom
76
def
eqMp
73
ref
assume
76
ref
deductAntisym
deductAntisym
77
def
subst
41
ref
assume
78
def
eqMp
appThm
nil
70
ref
43
ref
nil
cons
79
def
cons
nil
cons
nil
cons
cons
80
def
77
ref
subst
43
ref
assume
81
def
eqMp
appThm
absThm
eqMp
82
def
nil
"P"
1
ref
var
83
def
71
ref
cons
84
def
"Q"
1
ref
var
85
def
79
ref
cons
nil
cons
86
def
cons
nil
cons
cons
39
ref
refl
87
def
59
ref
60
remove
83
ref
varTerm
88
def
appTerm
89
def
85
ref
varTerm
90
def
appTerm
absTerm
91
def
35
ref
36
ref
41
ref
absTerm
absTerm
92
def
appTerm
betaConv
92
ref
88
ref
appTerm
betaConv
90
ref
refl
93
def
appThm
36
ref
88
ref
absTerm
90
ref
appTerm
betaConv
trans
trans
appThm
63
ref
92
ref
appTerm
betaConv
92
ref
62
ref
appTerm
betaConv
62
ref
refl
94
def
appThm
36
ref
62
ref
absTerm
62
ref
appTerm
betaConv
trans
trans
appThm
39
ref
46
ref
88
ref
appTerm
95
def
90
ref
appTerm
96
def
appTerm
refl
36
ref
58
remove
59
remove
89
remove
43
ref
appTerm
absTerm
appTerm
63
ref
appTerm
absTerm
90
ref
appTerm
betaConv
appThm
66
ref
95
remove
appTerm
refl
67
remove
88
ref
appTerm
betaConv
appThm
68
remove
88
ref
refl
97
def
appThm
eqMp
93
ref
appThm
eqMp
96
remove
assume
eqMp
98
def
92
remove
refl
appThm
eqMp
sym
76
ref
eqMp
99
def
subst
100
def
deductAntisym
eqMp
56
remove
44
ref
assume
101
def
eqMp
sym
78
remove
eqMp
87
ref
61
remove
35
ref
36
ref
43
ref
absTerm
102
def
absTerm
103
def
appTerm
betaConv
103
ref
41
ref
appTerm
betaConv
52
ref
appThm
102
ref
43
ref
appTerm
betaConv
trans
trans
appThm
63
remove
103
ref
appTerm
betaConv
103
ref
62
ref
appTerm
betaConv
94
ref
appThm
102
ref
62
ref
appTerm
betaConv
trans
trans
104
def
appThm
69
remove
48
ref
assume
eqMp
103
ref
refl
105
def
appThm
eqMp
sym
76
ref
eqMp
106
def
proveHyp
107
def
deductAntisym
108
def
subst
proveHyp
"A"
3
ref
nil
cons
109
def
cons
110
def
nil
cons
111
def
"P"
31
ref
var
112
def
28
remove
nil
cons
cons
"x"
3
ref
var
113
def
19
ref
nil
cons
114
def
cons
nil
cons
115
def
cons
nil
cons
cons
nil
35
ref
30
ref
10
ref
10
ref
"A"
varType
116
def
2
ref
cons
opType
117
def
2
ref
cons
opType
118
def
constTerm
119
def
"P"
117
ref
var
120
def
varTerm
121
def
appTerm
122
def
nil
cons
123
def
cons
36
ref
121
ref
"x"
116
ref
var
124
def
varTerm
125
def
appTerm
126
def
nil
cons
127
def
cons
nil
cons
cons
nil
cons
cons
128
def
57
ref
subst
128
remove
106
remove
82
remove
deductAntisym
129
def
subst
39
ref
126
ref
appTerm
refl
124
ref
62
ref
absTerm
130
def
125
ref
appTerm
betaConv
appThm
"p"
117
ref
var
131
def
9
ref
10
ref
117
ref
118
ref
nil
cons
cons
opType
constTerm
131
ref
varTerm
132
def
appTerm
130
remove
appTerm
absTerm
133
def
121
ref
appTerm
betaConv
134
def
nil
9
ref
10
ref
118
ref
10
ref
118
ref
2
ref
cons
opType
135
def
nil
cons
cons
opType
constTerm
136
def
119
ref
appTerm
133
remove
appTerm
axiom
121
ref
refl
137
def
appThm
138
def
122
ref
assume
eqMp
eqMp
125
ref
refl
139
def
appThm
eqMp
sym
76
ref
eqMp
eqMp
nil
83
ref
123
remove
cons
85
ref
127
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
140
def
subst
eqMp
eqMp
141
def
subst
nil
"p"
11
ref
var
142
def
25
ref
nil
cons
143
def
cons
144
def
"f"
11
ref
var
145
def
26
ref
nil
cons
146
def
cons
147
def
nil
cons
cons
nil
cons
cons
148
def
142
ref
15
ref
21
ref
145
ref
varTerm
149
def
appTerm
142
ref
varTerm
150
def
appTerm
151
def
6
ref
appTerm
appTerm
25
ref
appTerm
absTerm
152
def
150
ref
appTerm
153
def
betaConv
145
ref
30
ref
10
ref
12
ref
2
ref
cons
opType
154
def
constTerm
155
def
152
ref
appTerm
156
def
absTerm
157
def
149
ref
appTerm
158
def
betaConv
nil
155
ref
157
ref
appTerm
159
def
axiom
160
def
nil
35
ref
159
ref
nil
cons
cons
161
def
36
ref
158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
16
ref
cons
162
def
nil
cons
163
def
"P"
12
ref
var
164
def
157
remove
nil
cons
cons
"x"
11
ref
var
165
def
149
ref
nil
cons
166
def
cons
nil
cons
167
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
156
remove
nil
cons
cons
36
ref
153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
152
remove
nil
cons
cons
165
ref
150
ref
nil
cons
168
def
cons
nil
cons
169
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
170
def
subst
trans
171
def
nil
15
ref
18
ref
6
ref
appTerm
172
def
appTerm
25
ref
appTerm
thm
9
ref
10
ref
3
ref
31
ref
nil
cons
cons
opType
constTerm
173
def
refl
174
def
nil
"n"
11
ref
var
175
def
143
ref
cons
176
def
nil
cons
177
def
nil
cons
cons
178
def
175
ref
173
ref
"Number.Natural.Fibonacci.encode"
const
10
ref
11
ref
109
ref
cons
opType
179
def
constTerm
180
def
175
ref
varTerm
181
def
appTerm
182
def
appTerm
183
def
"Number.Natural.Fibonacci.encode.find"
const
10
ref
11
ref
10
ref
11
ref
179
ref
nil
cons
cons
opType
nil
cons
cons
opType
184
def
constTerm
185
def
181
ref
appTerm
186
def
26
ref
appTerm
25
ref
appTerm
187
def
appTerm
absTerm
188
def
181
ref
appTerm
189
def
betaConv
nil
155
ref
188
ref
appTerm
190
def
axiom
nil
35
ref
190
remove
nil
cons
cons
36
ref
189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
188
remove
nil
cons
cons
165
ref
181
ref
nil
cons
191
def
cons
nil
cons
192
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
193
def
subst
appThm
6
ref
refl
194
def
appThm
sym
174
ref
nil
144
ref
147
ref
177
ref
cons
cons
nil
cons
cons
142
ref
173
ref
186
ref
149
ref
appTerm
150
ref
appTerm
appTerm
"s"
11
ref
var
195
def
"Data.Bool.cond"
const
196
def
10
ref
1
ref
10
ref
3
ref
10
ref
3
ref
109
ref
cons
opType
nil
cons
197
def
cons
opType
198
def
nil
cons
cons
opType
constTerm
199
def
"Number.Natural.<"
const
14
ref
constTerm
200
def
181
ref
appTerm
201
def
195
ref
varTerm
202
def
appTerm
appTerm
203
def
"Number.Natural.Fibonacci.encode.mk"
const
10
ref
3
ref
184
remove
nil
cons
cons
opType
constTerm
204
def
6
ref
appTerm
205
def
181
ref
appTerm
206
def
149
ref
appTerm
150
ref
appTerm
appTerm
186
ref
202
ref
appTerm
207
def
149
ref
appTerm
appTerm
absTerm
"Number.Natural.+"
const
10
ref
11
ref
23
ref
nil
cons
208
def
cons
opType
209
def
constTerm
210
def
149
ref
appTerm
211
def
150
ref
appTerm
212
def
appTerm
appTerm
absTerm
213
def
150
ref
appTerm
214
def
betaConv
145
ref
155
ref
213
ref
appTerm
215
def
absTerm
216
def
149
ref
appTerm
217
def
betaConv
175
ref
155
ref
216
ref
appTerm
218
def
absTerm
219
def
181
ref
appTerm
220
def
betaConv
nil
155
ref
219
ref
appTerm
221
def
axiom
nil
35
ref
221
remove
nil
cons
cons
36
ref
220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
219
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
218
remove
nil
cons
cons
36
ref
217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
216
remove
nil
cons
cons
167
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
215
remove
nil
cons
cons
36
ref
214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
213
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
222
def
subst
appThm
194
ref
appThm
sym
174
ref
195
ref
199
ref
200
ref
25
ref
appTerm
223
def
202
ref
appTerm
appTerm
205
ref
25
ref
appTerm
224
def
26
ref
appTerm
25
ref
appTerm
appTerm
185
ref
25
ref
appTerm
225
def
202
ref
appTerm
26
ref
appTerm
appTerm
absTerm
210
ref
26
ref
appTerm
226
def
25
ref
appTerm
227
def
appTerm
betaConv
199
ref
refl
228
def
nil
175
ref
227
ref
nil
cons
cons
nil
cons
nil
cons
cons
175
ref
39
ref
223
ref
181
ref
appTerm
229
def
appTerm
"Data.Bool.~"
const
37
ref
constTerm
230
def
15
ref
181
ref
appTerm
231
def
25
ref
appTerm
232
def
appTerm
233
def
appTerm
absTerm
234
def
181
ref
appTerm
235
def
betaConv
nil
155
ref
234
ref
appTerm
236
def
axiom
nil
35
ref
236
remove
nil
cons
cons
36
ref
235
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
234
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
237
def
subst
230
ref
refl
238
def
15
ref
refl
239
def
178
ref
nil
"m"
11
ref
var
240
def
24
ref
181
ref
appTerm
241
def
nil
cons
cons
nil
cons
nil
cons
cons
240
ref
15
ref
210
ref
240
ref
varTerm
242
def
appTerm
243
def
25
ref
appTerm
244
def
appTerm
242
ref
appTerm
245
def
absTerm
246
def
242
ref
appTerm
247
def
betaConv
nil
155
ref
246
ref
appTerm
248
def
axiom
249
def
nil
35
ref
248
remove
nil
cons
cons
36
ref
247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
246
remove
nil
cons
cons
165
ref
242
ref
nil
cons
250
def
cons
nil
cons
251
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
252
def
subst
subst
253
def
178
ref
175
ref
15
ref
241
ref
appTerm
"Number.Natural.suc"
const
23
ref
constTerm
254
def
"Number.Natural.bit0"
const
23
ref
constTerm
255
def
181
ref
appTerm
256
def
appTerm
257
def
appTerm
absTerm
258
def
181
ref
appTerm
259
def
betaConv
nil
155
ref
258
ref
appTerm
260
def
axiom
nil
35
ref
260
remove
nil
cons
cons
36
ref
259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
258
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
261
def
subst
254
ref
refl
262
def
nil
15
ref
255
ref
25
ref
appTerm
appTerm
263
def
25
ref
appTerm
axiom
264
def
appThm
265
def
trans
266
def
trans
267
def
appThm
25
ref
refl
268
def
appThm
178
ref
175
ref
230
ref
15
ref
254
ref
181
ref
appTerm
269
def
appTerm
270
def
25
ref
appTerm
271
def
appTerm
272
def
absTerm
273
def
181
ref
appTerm
274
def
betaConv
nil
155
ref
273
ref
appTerm
275
def
axiom
nil
35
ref
275
remove
nil
cons
cons
36
ref
274
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
273
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
276
def
nil
35
ref
272
remove
nil
cons
cons
36
ref
39
ref
271
ref
appTerm
"Data.Bool.F"
const
1
ref
constTerm
277
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
83
ref
271
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
35
ref
230
ref
88
ref
appTerm
278
def
nil
cons
279
def
cons
36
ref
39
ref
88
ref
appTerm
277
ref
appTerm
nil
cons
280
def
cons
nil
cons
cons
nil
cons
cons
281
def
57
ref
subst
281
remove
129
ref
subst
nil
35
ref
88
ref
nil
cons
282
def
cons
283
def
36
ref
277
ref
nil
cons
284
def
cons
nil
cons
285
def
cons
nil
cons
cons
40
ref
refl
286
def
39
ref
41
ref
appTerm
287
def
43
ref
appTerm
288
def
assume
289
def
appThm
52
remove
appThm
sym
nil
35
ref
79
ref
cons
290
def
36
ref
79
ref
cons
nil
cons
291
def
cons
nil
cons
cons
292
def
57
ref
subst
292
remove
129
ref
subst
81
remove
eqMp
nil
83
ref
79
ref
cons
86
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
293
def
eqMp
294
def
nil
35
ref
44
ref
nil
cons
295
def
cons
296
def
36
ref
40
ref
43
ref
appTerm
297
def
41
ref
appTerm
nil
cons
298
def
cons
nil
cons
299
def
cons
nil
cons
cons
129
ref
subst
proveHyp
297
ref
refl
289
remove
appThm
sym
293
remove
eqMp
300
def
eqMp
nil
290
ref
36
ref
71
ref
cons
nil
cons
301
def
cons
nil
cons
cons
108
ref
subst
nil
83
ref
295
ref
cons
302
def
85
ref
298
remove
cons
nil
cons
303
def
cons
nil
cons
cons
304
def
87
ref
91
remove
103
ref
appTerm
betaConv
103
remove
88
ref
appTerm
betaConv
93
ref
appThm
102
remove
90
ref
appTerm
betaConv
trans
trans
appThm
104
remove
appThm
98
remove
105
remove
appThm
eqMp
sym
76
ref
eqMp
305
def
subst
eqMp
108
ref
304
remove
99
ref
subst
eqMp
deductAntisym
deductAntisym
306
def
subst
39
ref
278
ref
appTerm
refl
35
ref
42
ref
277
ref
appTerm
absTerm
307
def
88
ref
appTerm
betaConv
appThm
nil
66
ref
230
ref
appTerm
307
remove
appTerm
axiom
97
ref
appThm
eqMp
308
def
278
remove
assume
eqMp
nil
35
ref
40
ref
88
ref
appTerm
309
def
277
ref
appTerm
nil
cons
cons
36
ref
40
ref
277
ref
appTerm
310
def
88
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
284
ref
cons
36
ref
282
ref
cons
nil
cons
cons
nil
cons
cons
311
def
57
ref
subst
311
remove
129
ref
subst
35
ref
41
ref
absTerm
312
def
88
ref
appTerm
313
def
betaConv
nil
39
ref
277
ref
appTerm
314
def
30
ref
65
ref
constTerm
315
def
312
ref
appTerm
316
def
appTerm
axiom
277
ref
assume
eqMp
nil
35
ref
316
remove
nil
cons
cons
36
ref
313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
2
ref
cons
nil
cons
317
def
"P"
37
remove
var
318
def
312
remove
nil
cons
cons
"x"
1
ref
var
319
def
282
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
320
def
eqMp
nil
83
ref
284
ref
cons
85
ref
282
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
279
remove
cons
85
ref
280
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
321
def
subst
eqMp
322
def
subst
323
def
trans
appThm
nil
39
ref
230
ref
277
ref
appTerm
324
def
appTerm
62
ref
appTerm
axiom
325
def
trans
trans
appThm
224
ref
refl
266
ref
appThm
268
ref
appThm
appThm
225
ref
refl
267
ref
appThm
266
ref
appThm
appThm
nil
"t2"
3
ref
var
326
def
225
remove
254
ref
25
ref
appTerm
327
def
appTerm
327
ref
appTerm
nil
cons
cons
"t1"
3
ref
var
328
def
224
remove
327
ref
appTerm
25
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
111
ref
nil
nil
cons
329
def
cons
330
def
"t2"
116
ref
var
331
def
9
ref
10
ref
116
ref
117
ref
nil
cons
332
def
cons
opType
constTerm
333
def
196
ref
10
ref
1
ref
10
ref
116
ref
10
ref
116
ref
116
ref
nil
cons
334
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
335
def
62
ref
appTerm
"t1"
116
ref
var
336
def
varTerm
337
def
appTerm
331
ref
varTerm
338
def
appTerm
appTerm
337
ref
appTerm
absTerm
339
def
338
ref
appTerm
340
def
betaConv
336
ref
119
ref
339
ref
appTerm
341
def
absTerm
342
def
337
ref
appTerm
343
def
betaConv
nil
119
ref
342
ref
appTerm
344
def
axiom
nil
35
ref
344
remove
nil
cons
cons
36
ref
343
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
334
ref
cons
345
def
nil
cons
346
def
120
ref
342
remove
nil
cons
cons
124
ref
337
ref
nil
cons
cons
nil
cons
347
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
341
remove
nil
cons
cons
36
ref
340
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
339
remove
nil
cons
cons
124
ref
338
ref
nil
cons
cons
nil
cons
348
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
349
def
subst
350
def
subst
351
def
trans
trans
appThm
194
ref
appThm
sym
174
ref
nil
144
ref
145
ref
327
ref
nil
cons
352
def
cons
353
def
176
ref
8
ref
cons
cons
cons
nil
cons
cons
142
ref
173
ref
204
ref
19
ref
appTerm
354
def
181
ref
appTerm
355
def
149
ref
appTerm
150
ref
appTerm
appTerm
199
ref
15
ref
150
ref
appTerm
356
def
25
ref
appTerm
appTerm
19
ref
appTerm
199
ref
"Number.Natural.<="
const
14
remove
constTerm
357
def
149
ref
appTerm
181
ref
appTerm
appTerm
204
ref
"Data.List.::"
const
358
def
10
ref
1
ref
197
remove
cons
opType
constTerm
359
def
62
ref
appTerm
360
def
19
ref
appTerm
361
def
appTerm
362
def
"Number.Natural.-"
const
209
ref
constTerm
363
def
181
ref
appTerm
364
def
149
ref
appTerm
appTerm
150
ref
appTerm
363
ref
149
ref
appTerm
150
ref
appTerm
365
def
appTerm
appTerm
204
ref
359
ref
277
ref
appTerm
366
def
19
ref
appTerm
367
def
appTerm
368
def
181
ref
appTerm
369
def
150
ref
appTerm
365
remove
appTerm
appTerm
appTerm
appTerm
absTerm
370
def
150
ref
appTerm
371
def
betaConv
145
ref
155
ref
370
ref
appTerm
372
def
absTerm
373
def
149
ref
appTerm
374
def
betaConv
175
ref
155
ref
373
ref
appTerm
375
def
absTerm
376
def
181
ref
appTerm
377
def
betaConv
4
ref
155
ref
376
ref
appTerm
378
def
absTerm
379
def
19
ref
appTerm
380
def
betaConv
nil
33
ref
379
ref
appTerm
381
def
axiom
nil
35
ref
381
remove
nil
cons
cons
36
ref
380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
379
remove
nil
cons
cons
115
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
378
remove
nil
cons
cons
36
ref
377
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
376
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
375
remove
nil
cons
cons
36
ref
374
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
373
remove
nil
cons
cons
167
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
372
remove
nil
cons
cons
36
ref
371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
370
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
382
def
subst
383
def
appThm
194
ref
appThm
sym
nil
"z"
3
ref
var
384
def
199
ref
357
ref
327
ref
appTerm
25
ref
appTerm
appTerm
385
def
204
ref
360
ref
6
ref
appTerm
386
def
appTerm
387
def
363
ref
25
ref
appTerm
327
ref
appTerm
388
def
appTerm
25
ref
appTerm
363
ref
327
ref
appTerm
25
ref
appTerm
389
def
appTerm
appTerm
204
remove
366
ref
6
ref
appTerm
390
def
appTerm
391
def
25
ref
appTerm
25
ref
appTerm
389
ref
appTerm
appTerm
nil
cons
cons
"y"
3
ref
var
392
def
7
ref
cons
165
ref
143
ref
cons
nil
cons
393
def
cons
cons
nil
cons
cons
162
ref
"B"
109
remove
cons
nil
cons
cons
329
ref
cons
394
def
196
ref
10
ref
1
ref
10
ref
"B"
varType
395
def
10
ref
395
ref
395
ref
nil
cons
396
def
cons
opType
397
def
nil
cons
398
def
cons
opType
nil
cons
cons
opType
constTerm
refl
nil
70
ref
333
ref
125
ref
appTerm
399
def
125
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
139
ref
eqMp
400
def
appThm
"y"
395
ref
var
varTerm
401
def
refl
appThm
"z"
395
ref
var
varTerm
402
def
refl
appThm
nil
"t2"
395
ref
var
402
remove
nil
cons
cons
"t1"
395
ref
var
401
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
"A"
396
ref
cons
nil
cons
403
def
329
ref
cons
349
ref
subst
subst
trans
subst
404
def
subst
405
def
eqMp
eqMp
eqMp
eqMp
406
def
nil
173
ref
180
ref
25
ref
appTerm
appTerm
6
ref
appTerm
407
def
thm
nil
164
ref
175
ref
"Number.Natural.Fibonacci.zeckendorf"
const
31
ref
constTerm
408
def
182
ref
appTerm
409
def
absTerm
410
def
nil
cons
cons
nil
cons
nil
cons
cons
163
ref
329
ref
cons
411
def
39
ref
122
remove
appTerm
refl
134
remove
appThm
138
remove
eqMp
sym
412
def
subst
413
def
subst
175
ref
nil
70
ref
409
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
408
ref
refl
414
def
193
ref
appThm
sym
240
ref
"Data.Bool.\\/"
const
38
ref
constTerm
415
def
15
ref
242
ref
appTerm
416
def
25
ref
appTerm
417
def
appTerm
"Data.Bool.?"
const
418
def
154
ref
constTerm
419
def
175
ref
416
ref
269
ref
appTerm
absTerm
appTerm
appTerm
absTerm
420
def
181
ref
appTerm
421
def
betaConv
nil
155
ref
420
ref
appTerm
422
def
axiom
423
def
nil
35
ref
422
remove
nil
cons
cons
424
def
36
ref
421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
420
ref
nil
cons
cons
425
def
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
415
ref
232
ref
appTerm
419
ref
"n'"
11
ref
var
426
def
231
ref
254
ref
426
ref
varTerm
427
def
appTerm
428
def
appTerm
429
def
absTerm
430
def
appTerm
431
def
appTerm
nil
cons
432
def
cons
36
ref
408
ref
187
ref
appTerm
433
def
nil
cons
434
def
cons
nil
cons
435
def
cons
nil
cons
cons
436
def
108
ref
subst
proveHyp
436
ref
57
ref
subst
436
remove
129
ref
subst
nil
164
ref
426
ref
40
ref
430
ref
427
ref
appTerm
437
def
appTerm
433
ref
appTerm
438
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
426
ref
nil
70
ref
438
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
437
ref
nil
cons
439
def
cons
435
ref
cons
nil
cons
cons
440
def
57
ref
subst
440
remove
129
ref
subst
437
ref
betaConv
437
remove
assume
eqMp
nil
35
ref
429
ref
nil
cons
441
def
cons
435
ref
cons
nil
cons
cons
442
def
108
ref
subst
proveHyp
442
ref
57
ref
subst
442
remove
129
ref
subst
"k"
11
ref
var
443
def
40
ref
357
ref
"Number.Natural.fibonacci"
const
23
ref
constTerm
444
def
210
ref
443
ref
varTerm
445
def
appTerm
446
def
26
ref
appTerm
447
def
appTerm
448
def
appTerm
181
ref
appTerm
449
def
appTerm
450
def
408
ref
186
ref
448
ref
appTerm
444
ref
445
ref
appTerm
451
def
appTerm
452
def
appTerm
453
def
appTerm
454
def
absTerm
455
def
25
ref
appTerm
456
def
betaConv
nil
164
ref
455
ref
nil
cons
cons
457
def
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
454
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
449
ref
nil
cons
458
def
cons
459
def
36
ref
453
ref
nil
cons
460
def
cons
nil
cons
461
def
cons
nil
cons
cons
462
def
57
ref
subst
462
remove
129
ref
subst
87
ref
419
ref
refl
463
def
443
ref
443
ref
201
ref
451
ref
appTerm
absTerm
464
def
445
ref
appTerm
betaConv
absThm
appThm
appThm
46
ref
refl
465
def
464
ref
"Number.Natural.minimal"
const
10
ref
12
ref
16
ref
cons
opType
constTerm
466
def
464
ref
appTerm
467
def
appTerm
betaConv
appThm
155
ref
refl
468
def
240
ref
40
ref
200
ref
242
ref
appTerm
469
def
467
ref
appTerm
appTerm
470
def
refl
238
ref
464
ref
242
ref
appTerm
betaConv
appThm
appThm
absThm
appThm
appThm
appThm
nil
"p"
12
ref
var
471
def
464
ref
nil
cons
472
def
cons
nil
cons
nil
cons
cons
471
ref
39
ref
419
ref
175
ref
471
ref
varTerm
473
def
181
ref
appTerm
474
def
absTerm
475
def
appTerm
appTerm
46
ref
473
ref
466
remove
473
ref
appTerm
476
def
appTerm
appTerm
155
ref
240
ref
40
ref
469
ref
476
remove
appTerm
appTerm
230
ref
473
ref
242
ref
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
477
def
473
ref
appTerm
478
def
betaConv
nil
30
ref
10
ref
154
ref
2
ref
cons
opType
constTerm
479
def
477
ref
appTerm
480
def
axiom
nil
35
ref
480
remove
nil
cons
cons
36
ref
478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
13
remove
cons
nil
cons
481
def
"P"
154
remove
var
482
def
477
remove
nil
cons
cons
"x"
12
ref
var
473
ref
nil
cons
cons
nil
cons
483
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
463
ref
443
ref
nil
175
ref
451
ref
nil
cons
484
def
cons
485
def
240
ref
191
ref
cons
486
def
nil
cons
487
def
cons
nil
cons
cons
488
def
175
ref
39
ref
357
ref
254
ref
242
ref
appTerm
489
def
appTerm
490
def
181
ref
appTerm
491
def
appTerm
469
ref
181
ref
appTerm
492
def
appTerm
493
def
absTerm
494
def
181
ref
appTerm
495
def
betaConv
240
ref
155
ref
494
ref
appTerm
496
def
absTerm
497
def
242
ref
appTerm
498
def
betaConv
nil
155
ref
497
ref
appTerm
499
def
axiom
500
def
nil
35
ref
499
remove
nil
cons
cons
36
ref
498
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
497
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
496
remove
nil
cons
cons
36
ref
495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
494
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
501
def
subst
absThm
appThm
502
def
175
ref
419
ref
443
ref
357
ref
181
ref
appTerm
503
def
451
ref
appTerm
504
def
absTerm
505
def
appTerm
506
def
absTerm
507
def
269
ref
appTerm
508
def
betaConv
509
def
463
ref
443
ref
nil
485
ref
nil
cons
510
def
nil
cons
cons
511
def
nil
70
ref
357
ref
25
ref
appTerm
512
def
181
ref
appTerm
513
def
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
175
ref
513
remove
absTerm
514
def
181
ref
appTerm
515
def
betaConv
nil
155
ref
514
ref
appTerm
516
def
axiom
nil
35
ref
516
remove
nil
cons
cons
36
ref
515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
514
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
517
def
subst
518
def
absThm
appThm
nil
70
ref
62
ref
nil
cons
519
def
cons
nil
cons
nil
cons
cons
520
def
411
ref
70
ref
39
ref
418
ref
118
ref
constTerm
521
def
124
ref
73
ref
absTerm
522
def
appTerm
appTerm
73
ref
appTerm
absTerm
523
def
73
ref
appTerm
524
def
betaConv
nil
315
ref
523
ref
appTerm
525
def
axiom
nil
35
ref
525
remove
nil
cons
cons
36
ref
524
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
523
remove
nil
cons
cons
319
ref
73
ref
nil
cons
526
def
cons
nil
cons
527
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
trans
sym
76
ref
eqMp
nil
35
ref
419
ref
443
ref
512
ref
451
ref
appTerm
absTerm
appTerm
528
def
nil
cons
cons
36
ref
155
ref
175
ref
40
ref
506
remove
appTerm
419
ref
443
ref
357
ref
269
ref
appTerm
529
def
451
ref
appTerm
absTerm
530
def
appTerm
531
def
appTerm
532
def
absTerm
533
def
appTerm
534
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
533
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
532
remove
nil
cons
535
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
443
ref
40
ref
505
ref
445
ref
appTerm
536
def
appTerm
531
ref
appTerm
537
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
537
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
536
ref
nil
cons
538
def
cons
36
ref
531
ref
nil
cons
539
def
cons
nil
cons
540
def
cons
nil
cons
cons
541
def
57
ref
subst
541
remove
129
ref
subst
536
ref
betaConv
536
remove
assume
eqMp
nil
35
ref
504
ref
nil
cons
542
def
cons
540
remove
cons
nil
cons
cons
543
def
108
ref
subst
proveHyp
543
ref
57
ref
subst
543
remove
129
ref
subst
530
ref
254
ref
254
ref
445
ref
appTerm
544
def
appTerm
545
def
appTerm
betaConv
sym
426
ref
46
ref
529
ref
427
ref
appTerm
appTerm
357
ref
427
ref
appTerm
546
def
444
ref
545
ref
appTerm
547
def
appTerm
appTerm
absTerm
548
def
254
ref
451
ref
appTerm
549
def
appTerm
betaConv
sym
488
remove
175
ref
39
ref
490
remove
269
ref
appTerm
appTerm
357
ref
242
ref
appTerm
550
def
181
ref
appTerm
551
def
appTerm
absTerm
552
def
181
ref
appTerm
553
def
betaConv
240
ref
155
ref
552
ref
appTerm
554
def
absTerm
555
def
242
ref
appTerm
556
def
betaConv
nil
155
ref
555
ref
appTerm
557
def
axiom
nil
35
ref
557
remove
nil
cons
cons
36
ref
556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
555
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
554
remove
nil
cons
cons
36
ref
553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
552
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
558
def
subst
nil
70
ref
542
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
504
remove
assume
eqMp
trans
sym
76
ref
eqMp
nil
35
ref
529
ref
549
ref
appTerm
nil
cons
cons
36
ref
357
ref
549
ref
appTerm
547
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
175
ref
547
ref
nil
cons
559
def
cons
560
def
240
ref
484
ref
cons
nil
cons
561
def
cons
nil
cons
cons
501
ref
subst
200
ref
451
ref
appTerm
562
def
refl
15
ref
545
ref
appTerm
563
def
refl
446
ref
refl
564
def
255
ref
refl
565
def
266
ref
appThm
178
ref
175
ref
15
ref
255
ref
269
ref
appTerm
566
def
appTerm
567
def
254
ref
257
ref
appTerm
appTerm
absTerm
568
def
181
ref
appTerm
569
def
betaConv
nil
155
ref
568
ref
appTerm
570
def
axiom
nil
35
ref
570
remove
nil
cons
cons
36
ref
569
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
568
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
571
def
subst
262
ref
265
remove
appThm
trans
trans
572
def
appThm
nil
175
ref
352
ref
cons
573
def
240
ref
445
ref
nil
cons
574
def
cons
nil
cons
575
def
cons
nil
cons
cons
175
ref
15
ref
243
ref
269
ref
appTerm
576
def
appTerm
254
ref
243
ref
181
ref
appTerm
577
def
appTerm
578
def
appTerm
579
def
absTerm
580
def
181
ref
appTerm
581
def
betaConv
240
ref
155
ref
580
ref
appTerm
582
def
absTerm
583
def
242
ref
appTerm
584
def
betaConv
nil
155
ref
583
ref
appTerm
585
def
axiom
586
def
nil
35
ref
585
remove
nil
cons
cons
36
ref
584
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
583
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
582
remove
nil
cons
cons
36
ref
581
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
580
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
587
def
subst
262
ref
nil
176
ref
575
ref
cons
nil
cons
cons
587
ref
subst
262
ref
nil
575
ref
nil
cons
cons
588
def
252
ref
subst
589
def
appThm
trans
590
def
appThm
trans
591
def
trans
592
def
appThm
nil
165
ref
545
ref
nil
cons
593
def
cons
nil
cons
594
def
nil
cons
cons
411
ref
400
ref
subst
595
def
subst
trans
sym
76
ref
eqMp
39
ref
"_32047"
11
ref
var
596
def
15
ref
444
ref
596
remove
varTerm
appTerm
appTerm
210
ref
444
ref
544
ref
appTerm
597
def
appTerm
598
def
451
ref
appTerm
599
def
appTerm
absTerm
600
def
545
ref
appTerm
601
def
appTerm
refl
600
ref
446
ref
255
remove
26
ref
appTerm
602
def
appTerm
603
def
appTerm
betaConv
appThm
87
ref
601
remove
betaConv
appThm
15
ref
444
ref
603
ref
appTerm
604
def
appTerm
605
def
599
ref
appTerm
refl
appThm
trans
600
remove
refl
563
remove
603
ref
appTerm
assume
appThm
eqMp
sym
239
ref
nil
175
ref
574
ref
cons
606
def
nil
cons
607
def
nil
cons
cons
608
def
175
ref
15
ref
444
ref
210
ref
181
ref
appTerm
609
def
602
ref
appTerm
610
def
appTerm
611
def
appTerm
612
def
210
ref
444
ref
609
ref
26
ref
appTerm
613
def
appTerm
614
def
appTerm
444
ref
181
ref
appTerm
615
def
appTerm
616
def
appTerm
617
def
absTerm
618
def
181
ref
appTerm
619
def
betaConv
nil
155
ref
618
ref
appTerm
620
def
axiom
621
def
nil
35
ref
620
remove
nil
cons
cons
36
ref
619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
618
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
622
def
subst
623
def
appThm
624
def
210
ref
refl
625
def
444
ref
refl
626
def
588
remove
240
ref
15
ref
489
ref
appTerm
627
def
243
ref
26
ref
appTerm
628
def
appTerm
629
def
absTerm
630
def
242
ref
appTerm
631
def
betaConv
nil
155
ref
630
ref
appTerm
632
def
axiom
633
def
nil
35
ref
632
remove
nil
cons
cons
36
ref
631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
630
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
634
def
subst
635
def
appThm
636
def
appThm
451
ref
refl
637
def
appThm
638
def
appThm
nil
175
ref
448
ref
nil
cons
639
def
cons
640
def
142
ref
484
remove
cons
641
def
240
ref
639
ref
cons
nil
cons
642
def
cons
cons
nil
cons
cons
175
ref
39
ref
15
ref
243
ref
150
ref
appTerm
643
def
appTerm
644
def
609
ref
150
ref
appTerm
645
def
appTerm
appTerm
416
ref
181
ref
appTerm
646
def
appTerm
absTerm
647
def
181
ref
appTerm
648
def
betaConv
240
ref
155
ref
647
ref
appTerm
649
def
absTerm
650
def
242
ref
appTerm
651
def
betaConv
142
ref
155
ref
650
ref
appTerm
652
def
absTerm
653
def
150
ref
appTerm
654
def
betaConv
nil
155
ref
653
ref
appTerm
655
def
axiom
nil
35
ref
655
remove
nil
cons
cons
36
ref
654
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
653
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
652
remove
nil
cons
cons
36
ref
651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
650
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
649
remove
nil
cons
cons
36
ref
648
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
647
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
656
def
subst
nil
165
ref
639
ref
cons
nil
cons
657
def
nil
cons
cons
595
ref
subst
658
def
trans
trans
sym
76
ref
eqMp
eqMp
proveHyp
659
def
appThm
nil
240
ref
597
ref
nil
cons
660
def
cons
661
def
510
remove
cons
nil
cons
cons
175
ref
39
ref
201
ref
577
ref
appTerm
appTerm
223
remove
242
ref
appTerm
appTerm
absTerm
662
def
181
ref
appTerm
663
def
betaConv
240
ref
155
ref
662
ref
appTerm
664
def
absTerm
665
def
242
ref
appTerm
666
def
betaConv
nil
155
ref
665
ref
appTerm
667
def
axiom
nil
35
ref
667
remove
nil
cons
cons
36
ref
666
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
665
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
664
remove
nil
cons
cons
36
ref
663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
662
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
175
ref
660
ref
cons
668
def
nil
cons
nil
cons
cons
237
ref
subst
238
ref
nil
443
ref
544
ref
nil
cons
669
def
cons
nil
cons
nil
cons
cons
670
def
443
ref
39
ref
15
ref
451
ref
appTerm
25
ref
appTerm
appTerm
15
ref
445
ref
appTerm
671
def
25
ref
appTerm
672
def
appTerm
673
def
absTerm
674
def
445
ref
appTerm
675
def
betaConv
676
def
465
ref
87
ref
239
ref
nil
15
ref
444
ref
25
ref
appTerm
677
def
appTerm
678
def
25
ref
appTerm
679
def
axiom
680
def
appThm
681
def
268
ref
appThm
nil
393
ref
nil
cons
cons
595
ref
subst
682
def
trans
683
def
appThm
682
ref
appThm
520
ref
70
ref
39
ref
39
ref
62
ref
appTerm
684
def
73
ref
appTerm
appTerm
73
ref
appTerm
absTerm
685
def
73
ref
appTerm
686
def
betaConv
nil
315
ref
685
ref
appTerm
687
def
axiom
nil
35
ref
687
remove
nil
cons
cons
36
ref
686
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
685
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
688
def
subst
689
def
trans
appThm
465
ref
87
ref
239
ref
nil
15
ref
444
ref
26
ref
appTerm
690
def
appTerm
691
def
26
ref
appTerm
axiom
692
def
appThm
693
def
268
ref
appThm
appThm
15
ref
26
ref
appTerm
25
ref
appTerm
694
def
refl
appThm
nil
319
ref
694
ref
nil
cons
cons
nil
cons
nil
cons
cons
317
ref
329
ref
cons
695
def
400
ref
subst
696
def
subst
trans
appThm
468
ref
443
ref
40
ref
46
ref
673
ref
appTerm
39
ref
15
ref
448
ref
appTerm
25
ref
appTerm
697
def
appTerm
698
def
15
ref
447
ref
appTerm
25
ref
appTerm
appTerm
699
def
appTerm
700
def
appTerm
701
def
refl
87
ref
624
remove
268
ref
appThm
appThm
15
ref
603
ref
appTerm
25
ref
appTerm
702
def
refl
appThm
appThm
absThm
appThm
appThm
nil
70
ref
155
ref
443
ref
701
ref
39
ref
15
ref
210
ref
448
ref
appTerm
451
ref
appTerm
703
def
appTerm
25
ref
appTerm
appTerm
702
ref
appTerm
704
def
appTerm
705
def
absTerm
706
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
70
ref
39
ref
46
ref
62
ref
appTerm
707
def
73
ref
appTerm
appTerm
73
ref
appTerm
absTerm
708
def
73
ref
appTerm
709
def
betaConv
nil
315
ref
708
ref
appTerm
710
def
axiom
nil
35
ref
710
remove
nil
cons
cons
36
ref
709
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
708
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
711
def
subst
712
def
trans
appThm
712
remove
trans
sym
nil
164
ref
706
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
705
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
700
remove
nil
cons
713
def
cons
36
ref
704
remove
nil
cons
714
def
cons
nil
cons
cons
nil
cons
cons
715
def
57
ref
subst
715
remove
129
ref
subst
nil
83
ref
673
ref
nil
cons
cons
85
ref
699
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
716
def
99
ref
subst
716
remove
305
ref
subst
87
ref
nil
485
ref
642
ref
cons
nil
cons
cons
717
def
175
ref
39
ref
15
ref
577
ref
appTerm
718
def
25
ref
appTerm
appTerm
46
ref
417
ref
appTerm
232
ref
appTerm
appTerm
absTerm
719
def
181
ref
appTerm
720
def
betaConv
240
ref
155
ref
719
ref
appTerm
721
def
absTerm
722
def
242
ref
appTerm
723
def
betaConv
nil
155
ref
722
ref
appTerm
724
def
axiom
nil
35
ref
724
remove
nil
cons
cons
36
ref
723
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
722
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
721
remove
nil
cons
cons
36
ref
720
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
719
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
725
def
subst
465
ref
699
remove
assume
nil
175
ref
146
ref
cons
726
def
575
ref
cons
nil
cons
cons
725
ref
subst
trans
appThm
673
remove
assume
appThm
trans
appThm
nil
175
ref
602
ref
nil
cons
727
def
cons
728
def
575
ref
cons
nil
cons
cons
725
remove
subst
appThm
sym
87
ref
465
ref
46
ref
672
ref
appTerm
refl
729
def
262
ref
178
ref
175
ref
15
ref
210
ref
25
ref
appTerm
730
def
181
ref
appTerm
appTerm
181
ref
appTerm
absTerm
731
def
181
ref
appTerm
732
def
betaConv
nil
155
ref
731
ref
appTerm
733
def
axiom
nil
35
ref
733
remove
nil
cons
cons
36
ref
732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
731
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
734
def
subst
735
def
appThm
465
ref
468
ref
175
ref
nil
165
ref
269
ref
nil
cons
736
def
cons
nil
cons
737
def
nil
cons
cons
595
ref
subst
absThm
appThm
520
ref
411
ref
70
ref
39
ref
119
ref
522
remove
appTerm
appTerm
73
ref
appTerm
absTerm
738
def
73
ref
appTerm
739
def
betaConv
nil
315
ref
738
ref
appTerm
740
def
axiom
nil
35
ref
740
remove
nil
cons
cons
36
ref
739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
738
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
741
def
subst
742
def
subst
743
def
trans
appThm
465
ref
15
ref
327
ref
appTerm
744
def
refl
266
ref
appThm
nil
165
ref
352
ref
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
appThm
465
ref
468
ref
175
ref
239
ref
262
ref
175
ref
15
ref
256
ref
appTerm
609
ref
181
ref
appTerm
745
def
appTerm
746
def
absTerm
747
def
181
ref
appTerm
748
def
betaConv
749
def
239
ref
264
remove
appThm
735
remove
appThm
682
ref
trans
sym
76
ref
eqMp
nil
35
ref
263
remove
730
ref
25
ref
appTerm
appTerm
750
def
nil
cons
cons
36
ref
155
ref
175
ref
40
ref
746
ref
appTerm
567
remove
210
ref
269
ref
appTerm
269
ref
appTerm
appTerm
751
def
appTerm
752
def
absTerm
753
def
appTerm
754
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
753
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
752
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
746
ref
nil
cons
755
def
cons
36
ref
751
remove
nil
cons
756
def
cons
nil
cons
cons
nil
cons
cons
757
def
57
ref
subst
757
remove
129
ref
subst
239
ref
571
remove
262
ref
262
ref
746
remove
assume
appThm
appThm
trans
appThm
nil
175
ref
736
ref
cons
758
def
487
ref
cons
nil
cons
cons
175
ref
15
ref
210
ref
489
ref
appTerm
181
ref
appTerm
appTerm
578
ref
appTerm
absTerm
759
def
181
ref
appTerm
760
def
betaConv
240
ref
155
ref
759
ref
appTerm
761
def
absTerm
762
def
242
ref
appTerm
763
def
betaConv
nil
155
ref
762
ref
appTerm
764
def
axiom
nil
35
ref
764
remove
nil
cons
cons
36
ref
763
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
762
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
761
remove
nil
cons
cons
36
ref
760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
759
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
765
def
subst
766
def
262
ref
nil
487
ref
nil
cons
cons
767
def
587
ref
subst
appThm
768
def
trans
appThm
nil
165
ref
254
ref
254
ref
745
remove
appTerm
769
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
770
def
trans
sym
76
ref
eqMp
eqMp
nil
83
ref
755
remove
cons
85
ref
756
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
750
remove
appTerm
754
remove
appTerm
nil
cons
cons
36
ref
155
ref
747
ref
appTerm
nil
cons
771
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
747
ref
25
ref
appTerm
betaConv
appThm
468
ref
175
ref
286
ref
749
ref
appThm
747
ref
269
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
175
ref
749
remove
absThm
appThm
appThm
nil
471
ref
747
remove
nil
cons
772
def
cons
nil
cons
nil
cons
cons
471
ref
40
ref
46
ref
473
ref
25
ref
appTerm
appTerm
773
def
155
ref
175
ref
40
ref
474
ref
appTerm
473
ref
269
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
155
ref
475
remove
appTerm
774
def
appTerm
absTerm
775
def
473
ref
appTerm
776
def
betaConv
nil
479
ref
775
ref
appTerm
777
def
axiom
nil
35
ref
777
remove
nil
cons
cons
36
ref
776
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
481
ref
482
ref
775
remove
nil
cons
cons
483
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
778
def
subst
eqMp
eqMp
nil
35
ref
771
remove
cons
36
ref
748
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
772
remove
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
779
def
appThm
780
def
appThm
261
remove
780
remove
trans
781
def
appThm
nil
165
ref
769
remove
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
absThm
appThm
743
ref
trans
appThm
468
ref
175
ref
239
ref
262
ref
781
remove
appThm
appThm
nil
758
remove
nil
cons
nil
cons
cons
779
remove
subst
766
remove
trans
768
remove
trans
appThm
770
remove
trans
absThm
appThm
743
ref
trans
appThm
520
ref
711
ref
subst
782
def
trans
appThm
782
ref
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
83
ref
155
ref
175
ref
270
ref
269
ref
appTerm
absTerm
appTerm
nil
cons
cons
85
ref
46
ref
744
remove
26
ref
appTerm
783
def
appTerm
46
ref
155
ref
175
ref
15
ref
257
remove
appTerm
241
ref
appTerm
absTerm
784
def
appTerm
785
def
appTerm
155
ref
175
ref
15
ref
254
ref
241
remove
appTerm
appTerm
566
remove
appTerm
absTerm
786
def
appTerm
787
def
appTerm
788
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
789
def
nil
83
ref
783
remove
nil
cons
cons
85
ref
788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
790
def
99
ref
subst
proveHyp
791
def
trans
792
def
nil
240
ref
143
ref
cons
793
def
726
ref
144
ref
nil
cons
794
def
cons
cons
nil
cons
cons
39
ref
"_9306"
11
ref
var
795
def
39
ref
15
ref
795
remove
varTerm
appTerm
150
ref
appTerm
appTerm
277
ref
appTerm
absTerm
796
def
181
ref
appTerm
797
def
appTerm
refl
796
ref
254
ref
643
ref
appTerm
798
def
appTerm
betaConv
appThm
87
ref
797
remove
betaConv
appThm
39
ref
15
ref
798
ref
appTerm
799
def
150
ref
appTerm
800
def
appTerm
277
ref
appTerm
refl
appThm
trans
796
remove
refl
799
ref
181
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
70
ref
800
remove
nil
cons
cons
nil
cons
nil
cons
cons
70
ref
39
ref
74
remove
277
ref
appTerm
801
def
appTerm
230
ref
73
ref
appTerm
802
def
appTerm
absTerm
803
def
73
ref
appTerm
804
def
betaConv
nil
315
ref
803
ref
appTerm
805
def
axiom
nil
35
ref
805
remove
nil
cons
cons
36
ref
804
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
803
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
806
def
subst
238
ref
nil
175
ref
168
ref
cons
807
def
240
ref
798
ref
nil
cons
808
def
cons
nil
cons
cons
nil
cons
cons
809
def
175
ref
39
ref
646
ref
appTerm
46
ref
551
ref
appTerm
810
def
503
ref
242
ref
appTerm
811
def
appTerm
812
def
appTerm
813
def
absTerm
814
def
181
ref
appTerm
815
def
betaConv
240
ref
155
ref
814
ref
appTerm
816
def
absTerm
817
def
242
ref
appTerm
818
def
betaConv
468
ref
240
ref
468
ref
175
ref
813
remove
assume
sym
39
ref
812
remove
appTerm
646
ref
appTerm
819
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
155
ref
240
ref
155
ref
175
ref
819
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
155
ref
817
ref
appTerm
nil
cons
cons
36
ref
818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
817
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
816
remove
nil
cons
cons
36
ref
815
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
814
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
820
def
subst
appThm
nil
"t2"
1
ref
var
821
def
357
ref
150
ref
appTerm
798
ref
appTerm
nil
cons
cons
"t1"
1
ref
var
822
def
357
ref
798
remove
appTerm
150
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
821
ref
39
ref
230
ref
46
ref
822
ref
varTerm
823
def
appTerm
821
ref
varTerm
824
def
appTerm
825
def
appTerm
appTerm
415
ref
230
ref
823
ref
appTerm
826
def
appTerm
230
ref
824
ref
appTerm
827
def
appTerm
appTerm
absTerm
828
def
824
ref
appTerm
829
def
betaConv
822
ref
315
ref
828
ref
appTerm
830
def
absTerm
831
def
823
ref
appTerm
832
def
betaConv
nil
315
ref
831
ref
appTerm
833
def
axiom
nil
35
ref
833
remove
nil
cons
cons
36
ref
832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
831
remove
nil
cons
cons
319
ref
823
ref
nil
cons
cons
nil
cons
834
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
830
remove
nil
cons
cons
36
ref
829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
828
remove
nil
cons
cons
319
ref
824
ref
nil
cons
cons
nil
cons
835
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
836
def
subst
trans
trans
sym
415
ref
refl
837
def
809
ref
175
ref
39
ref
230
ref
551
ref
appTerm
838
def
appTerm
201
ref
242
ref
appTerm
839
def
appTerm
840
def
absTerm
841
def
181
ref
appTerm
842
def
betaConv
240
ref
155
ref
841
ref
appTerm
843
def
absTerm
844
def
242
ref
appTerm
845
def
betaConv
nil
155
ref
844
ref
appTerm
846
def
axiom
847
def
nil
35
ref
846
remove
nil
cons
cons
36
ref
845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
844
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
843
remove
nil
cons
cons
36
ref
842
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
841
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
848
def
subst
nil
175
ref
808
remove
cons
240
ref
168
ref
cons
nil
cons
849
def
cons
nil
cons
cons
850
def
175
ref
39
ref
492
ref
appTerm
851
def
419
ref
"d"
11
ref
var
852
def
231
ref
243
ref
254
ref
852
ref
varTerm
853
def
appTerm
854
def
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
855
def
181
ref
appTerm
856
def
betaConv
240
ref
155
ref
855
ref
appTerm
857
def
absTerm
858
def
242
ref
appTerm
859
def
betaConv
nil
155
ref
858
ref
appTerm
860
def
axiom
nil
35
ref
860
remove
nil
cons
cons
36
ref
859
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
858
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
857
remove
nil
cons
cons
36
ref
856
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
855
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
861
def
subst
trans
463
ref
852
ref
799
ref
refl
nil
175
ref
853
ref
nil
cons
862
def
cons
863
def
849
remove
cons
nil
cons
cons
587
ref
subst
appThm
absThm
appThm
trans
appThm
850
remove
848
ref
subst
809
remove
861
ref
subst
trans
463
ref
852
ref
356
ref
refl
nil
175
ref
854
ref
nil
cons
cons
240
ref
643
ref
nil
cons
864
def
cons
nil
cons
865
def
cons
nil
cons
cons
765
ref
subst
262
ref
nil
863
ref
865
remove
cons
nil
cons
cons
587
ref
subst
appThm
trans
appThm
absThm
appThm
trans
appThm
sym
nil
35
ref
415
ref
419
ref
852
ref
799
ref
254
ref
210
ref
150
ref
appTerm
866
def
853
ref
appTerm
appTerm
appTerm
867
def
absTerm
868
def
appTerm
869
def
appTerm
419
ref
852
ref
356
remove
254
ref
254
ref
210
ref
643
ref
appTerm
853
ref
appTerm
appTerm
appTerm
appTerm
870
def
absTerm
871
def
appTerm
872
def
appTerm
873
def
nil
cons
cons
nil
cons
nil
cons
cons
287
ref
refl
874
def
nil
70
ref
230
ref
41
ref
appTerm
875
def
nil
cons
876
def
cons
nil
cons
nil
cons
cons
70
ref
39
ref
40
ref
73
ref
appTerm
877
def
277
ref
appTerm
appTerm
802
ref
appTerm
absTerm
878
def
73
ref
appTerm
879
def
betaConv
nil
315
ref
878
ref
appTerm
880
def
axiom
nil
35
ref
880
remove
nil
cons
cons
36
ref
879
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
878
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
881
def
subst
appThm
sym
874
remove
72
ref
70
ref
39
ref
230
ref
802
ref
appTerm
appTerm
73
ref
appTerm
absTerm
882
def
73
ref
appTerm
883
def
betaConv
nil
315
ref
882
ref
appTerm
884
def
axiom
nil
35
ref
884
remove
nil
cons
cons
36
ref
883
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
882
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
885
def
subst
appThm
nil
319
ref
71
ref
cons
nil
cons
886
def
nil
cons
cons
696
ref
subst
trans
sym
76
ref
eqMp
eqMp
887
def
subst
sym
nil
35
ref
230
ref
873
remove
appTerm
888
def
nil
cons
889
def
cons
285
ref
cons
nil
cons
cons
890
def
57
ref
subst
890
remove
129
ref
subst
nil
155
ref
240
ref
155
ref
175
ref
718
ref
609
ref
242
ref
appTerm
891
def
appTerm
892
def
absTerm
893
def
appTerm
894
def
absTerm
895
def
appTerm
896
def
axiom
897
def
nil
35
ref
896
ref
nil
cons
898
def
cons
899
def
285
ref
cons
nil
cons
cons
900
def
108
ref
subst
proveHyp
900
ref
57
ref
subst
900
remove
129
ref
subst
nil
"_9309"
11
ref
var
901
def
168
ref
cons
"_9308"
11
ref
var
902
def
250
ref
cons
nil
cons
cons
nil
cons
cons
175
ref
15
ref
210
ref
902
remove
varTerm
903
def
appTerm
181
ref
appTerm
appTerm
609
ref
903
ref
appTerm
appTerm
absTerm
904
def
901
remove
varTerm
905
def
appTerm
906
def
betaConv
895
ref
903
ref
appTerm
907
def
betaConv
nil
899
ref
36
ref
907
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
895
ref
nil
cons
908
def
cons
909
def
165
ref
903
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
904
ref
appTerm
nil
cons
cons
36
ref
906
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
904
remove
nil
cons
cons
165
ref
905
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
35
ref
644
remove
866
ref
242
ref
appTerm
910
def
appTerm
nil
cons
cons
36
ref
799
ref
254
ref
910
ref
appTerm
appTerm
nil
cons
911
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_9313"
11
ref
var
912
def
910
ref
nil
cons
913
def
cons
"_9312"
11
ref
var
914
def
864
ref
cons
nil
cons
cons
nil
cons
cons
nil
35
ref
15
ref
914
remove
varTerm
915
def
appTerm
912
remove
varTerm
916
def
appTerm
917
def
nil
cons
918
def
cons
36
ref
15
ref
254
ref
915
remove
appTerm
appTerm
254
ref
916
remove
appTerm
appTerm
nil
cons
919
def
cons
nil
cons
cons
nil
cons
cons
920
def
57
ref
subst
920
remove
129
ref
subst
262
ref
917
remove
assume
appThm
eqMp
nil
83
ref
918
remove
cons
85
ref
919
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
35
ref
911
remove
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_9310"
11
ref
var
921
def
250
ref
cons
nil
cons
nil
cons
cons
nil
35
ref
799
remove
254
ref
866
ref
921
remove
varTerm
922
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
39
ref
875
ref
appTerm
refl
72
remove
881
ref
subst
appThm
nil
319
ref
876
remove
cons
nil
cons
nil
cons
cons
696
ref
subst
trans
sym
76
ref
eqMp
923
def
subst
852
ref
230
ref
867
remove
appTerm
absTerm
924
def
922
ref
appTerm
925
def
betaConv
nil
35
ref
869
remove
nil
cons
cons
36
ref
872
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
35
ref
287
ref
277
ref
appTerm
926
def
nil
cons
927
def
cons
928
def
36
ref
39
ref
230
ref
415
ref
41
ref
appTerm
929
def
43
ref
appTerm
appTerm
appTerm
46
ref
875
ref
appTerm
230
ref
43
ref
appTerm
930
def
appTerm
appTerm
nil
cons
931
def
cons
nil
cons
932
def
cons
nil
cons
cons
933
def
57
ref
subst
933
remove
129
ref
subst
39
ref
"_534"
1
ref
var
934
def
39
ref
230
ref
415
ref
934
remove
varTerm
935
def
appTerm
43
ref
appTerm
appTerm
appTerm
46
ref
230
ref
935
remove
appTerm
appTerm
930
ref
appTerm
appTerm
absTerm
936
def
41
ref
appTerm
937
def
appTerm
refl
938
def
936
ref
277
ref
appTerm
betaConv
appThm
87
ref
937
remove
betaConv
appThm
939
def
39
ref
230
ref
415
ref
277
ref
appTerm
940
def
43
ref
appTerm
appTerm
appTerm
46
ref
324
ref
appTerm
941
def
930
ref
appTerm
appTerm
refl
appThm
trans
936
remove
refl
942
def
926
remove
assume
943
def
appThm
eqMp
sym
87
ref
238
ref
80
ref
70
ref
39
ref
940
ref
73
ref
appTerm
appTerm
73
ref
appTerm
absTerm
944
def
73
ref
appTerm
945
def
betaConv
nil
315
ref
944
ref
appTerm
946
def
axiom
nil
35
ref
946
remove
nil
cons
cons
36
ref
945
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
944
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
947
def
subst
appThm
appThm
465
ref
325
ref
appThm
948
def
930
ref
refl
949
def
appThm
nil
70
ref
930
ref
nil
cons
950
def
cons
nil
cons
nil
cons
cons
951
def
711
ref
subst
trans
appThm
nil
319
ref
950
remove
cons
nil
cons
nil
cons
cons
696
ref
subst
952
def
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
927
ref
cons
953
def
85
ref
931
ref
cons
nil
cons
954
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
287
ref
62
ref
appTerm
955
def
nil
cons
956
def
cons
957
def
932
remove
cons
nil
cons
cons
958
def
57
ref
subst
958
remove
129
ref
subst
938
remove
"_532"
1
ref
var
959
def
39
ref
230
ref
415
ref
959
remove
varTerm
960
def
appTerm
43
ref
appTerm
appTerm
appTerm
46
ref
230
ref
960
remove
appTerm
appTerm
930
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
939
remove
39
ref
230
ref
415
ref
62
ref
appTerm
961
def
43
ref
appTerm
appTerm
appTerm
46
ref
230
ref
62
ref
appTerm
962
def
appTerm
963
def
930
ref
appTerm
appTerm
refl
appThm
trans
942
remove
955
remove
assume
964
def
appThm
eqMp
sym
87
ref
238
ref
80
ref
70
ref
39
ref
961
ref
73
ref
appTerm
appTerm
62
ref
appTerm
absTerm
965
def
73
ref
appTerm
966
def
betaConv
nil
315
ref
965
ref
appTerm
967
def
axiom
nil
35
ref
967
remove
nil
cons
cons
36
ref
966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
965
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
968
def
subst
appThm
nil
39
ref
962
ref
appTerm
277
ref
appTerm
axiom
969
def
trans
appThm
465
ref
969
ref
appThm
970
def
949
ref
appThm
951
ref
70
ref
39
ref
46
ref
277
ref
appTerm
971
def
73
ref
appTerm
appTerm
277
ref
appTerm
absTerm
972
def
73
ref
appTerm
973
def
betaConv
nil
315
ref
972
ref
appTerm
974
def
axiom
nil
35
ref
974
remove
nil
cons
cons
36
ref
973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
972
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
975
def
subst
trans
appThm
nil
70
ref
284
ref
cons
nil
cons
nil
cons
cons
976
def
70
ref
39
ref
314
ref
73
ref
appTerm
appTerm
802
ref
appTerm
absTerm
977
def
73
ref
appTerm
978
def
betaConv
nil
315
ref
977
ref
appTerm
979
def
axiom
nil
35
ref
979
remove
nil
cons
cons
36
ref
978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
977
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
980
def
subst
325
ref
trans
981
def
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
956
remove
cons
982
def
954
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
70
ref
415
ref
75
ref
appTerm
801
remove
appTerm
absTerm
983
def
41
ref
appTerm
984
def
betaConv
nil
315
ref
983
ref
appTerm
985
def
axiom
986
def
nil
35
ref
985
remove
nil
cons
cons
987
def
36
ref
984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
983
ref
nil
cons
cons
988
def
886
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
989
def
nil
982
ref
85
ref
927
remove
cons
990
def
"R"
1
ref
var
991
def
931
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
35
ref
40
ref
90
ref
appTerm
992
def
991
ref
varTerm
993
def
appTerm
994
def
nil
cons
cons
36
ref
993
ref
nil
cons
995
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
35
ref
309
ref
993
ref
appTerm
nil
cons
cons
36
ref
40
ref
994
remove
appTerm
993
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
"r"
1
ref
var
996
def
40
ref
309
ref
996
ref
varTerm
997
def
appTerm
appTerm
998
def
40
ref
992
ref
997
ref
appTerm
appTerm
997
ref
appTerm
appTerm
absTerm
999
def
993
remove
appTerm
1000
def
betaConv
39
ref
415
ref
88
ref
appTerm
1001
def
90
ref
appTerm
1002
def
appTerm
refl
36
ref
315
ref
996
ref
998
remove
40
ref
297
ref
997
ref
appTerm
1003
def
appTerm
997
ref
appTerm
1004
def
appTerm
absTerm
appTerm
absTerm
90
ref
appTerm
betaConv
appThm
66
remove
1001
remove
appTerm
refl
35
ref
36
ref
315
ref
996
ref
40
ref
42
ref
997
ref
appTerm
appTerm
1004
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1005
def
88
remove
appTerm
betaConv
appThm
nil
54
remove
415
ref
appTerm
1005
remove
appTerm
axiom
97
remove
appThm
eqMp
93
remove
appThm
eqMp
1006
def
1002
remove
assume
eqMp
nil
35
ref
315
ref
999
ref
appTerm
nil
cons
cons
36
ref
1000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
999
remove
nil
cons
cons
319
ref
995
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
1007
def
subst
proveHyp
proveHyp
proveHyp
subst
465
ref
nil
164
ref
868
ref
nil
cons
cons
nil
cons
nil
cons
cons
411
ref
87
ref
238
ref
521
ref
refl
1008
def
nil
"t"
117
ref
var
1009
def
121
ref
nil
cons
1010
def
cons
nil
cons
nil
cons
cons
345
remove
"B"
2
ref
cons
1011
def
nil
cons
cons
329
ref
cons
1012
def
"t"
10
ref
116
ref
396
ref
cons
1013
def
opType
1014
def
var
1015
def
9
ref
10
ref
1014
ref
10
ref
1014
ref
2
ref
cons
opType
1016
def
nil
cons
cons
opType
constTerm
1017
def
1015
ref
varTerm
1018
def
appTerm
124
ref
1018
ref
125
ref
appTerm
absTerm
1019
def
appTerm
1020
def
absTerm
1021
def
1018
ref
appTerm
1022
def
betaConv
30
ref
10
ref
1016
ref
2
ref
cons
opType
constTerm
1023
def
refl
1024
def
1015
ref
1020
remove
assume
sym
1017
ref
1019
remove
appTerm
1018
ref
appTerm
1025
def
assume
sym
deductAntisym
absThm
appThm
nil
1023
ref
1015
remove
1025
remove
absTerm
1026
def
appTerm
1027
def
axiom
1028
def
eqMp
nil
35
ref
1023
ref
1021
ref
appTerm
nil
cons
cons
36
ref
1022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
1014
ref
nil
cons
cons
nil
cons
1029
def
"P"
1016
remove
var
1030
def
1021
remove
nil
cons
cons
"x"
1014
ref
var
1031
def
1018
ref
nil
cons
cons
nil
cons
1032
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
1033
def
appThm
appThm
appThm
119
ref
124
ref
230
ref
126
ref
appTerm
absTerm
1034
def
appTerm
refl
appThm
sym
nil
131
ref
1010
ref
cons
nil
cons
nil
cons
cons
1035
def
131
ref
39
ref
230
ref
521
ref
124
ref
132
ref
125
ref
appTerm
1036
def
absTerm
1037
def
appTerm
1038
def
appTerm
appTerm
119
ref
124
ref
230
ref
1036
ref
appTerm
absTerm
1039
def
appTerm
appTerm
absTerm
1040
def
132
ref
appTerm
1041
def
betaConv
nil
30
ref
135
remove
constTerm
1042
def
1040
ref
appTerm
1043
def
axiom
nil
35
ref
1043
remove
nil
cons
cons
36
ref
1041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
332
remove
cons
nil
cons
1044
def
"P"
118
remove
var
1045
def
1040
remove
nil
cons
cons
"x"
117
ref
var
1046
def
132
ref
nil
cons
1047
def
cons
nil
cons
1048
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
subst
1049
def
subst
468
ref
852
ref
238
ref
868
remove
853
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
nil
164
ref
871
ref
nil
cons
cons
nil
cons
nil
cons
cons
1049
remove
subst
468
ref
852
ref
238
ref
871
remove
853
ref
appTerm
betaConv
appThm
absThm
appThm
trans
appThm
trans
888
remove
assume
eqMp
nil
83
ref
155
ref
924
ref
appTerm
nil
cons
1050
def
cons
85
ref
155
ref
852
ref
230
ref
870
remove
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
proveHyp
nil
35
ref
1050
remove
cons
36
ref
925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
924
remove
nil
cons
cons
165
ref
922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
83
ref
898
remove
cons
1051
def
85
ref
284
ref
cons
nil
cons
1052
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
889
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
1053
def
subst
deductAntisym
792
remove
eqMp
1054
def
appThm
nil
70
ref
672
ref
nil
cons
1055
def
cons
nil
cons
nil
cons
cons
1056
def
70
ref
39
ref
46
ref
73
ref
appTerm
1057
def
277
ref
appTerm
appTerm
277
ref
appTerm
absTerm
1058
def
73
ref
appTerm
1059
def
betaConv
nil
315
ref
1058
ref
appTerm
1060
def
axiom
nil
35
ref
1060
remove
nil
cons
cons
36
ref
1059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1058
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1061
def
subst
1062
def
trans
appThm
672
ref
refl
appThm
1056
remove
975
ref
subst
trans
appThm
729
remove
262
ref
253
ref
appThm
178
ref
786
ref
181
ref
appTerm
1063
def
betaConv
789
remove
790
remove
305
ref
subst
proveHyp
1064
def
nil
83
ref
785
remove
nil
cons
1065
def
cons
85
ref
787
remove
nil
cons
1066
def
cons
nil
cons
cons
nil
cons
cons
1067
def
305
ref
subst
proveHyp
nil
35
ref
1066
remove
cons
36
ref
1063
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
786
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
565
remove
791
ref
appThm
trans
trans
1068
def
nil
240
ref
146
ref
cons
1069
def
728
ref
794
ref
cons
cons
nil
cons
cons
1053
remove
subst
deductAntisym
1068
remove
eqMp
appThm
1062
remove
trans
appThm
981
ref
trans
sym
76
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
713
remove
cons
85
ref
714
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
39
ref
679
remove
appTerm
15
ref
25
ref
appTerm
1070
def
25
ref
appTerm
appTerm
appTerm
46
ref
39
ref
691
ref
25
ref
appTerm
appTerm
694
remove
appTerm
appTerm
155
ref
443
ref
701
remove
39
ref
605
remove
25
ref
appTerm
appTerm
702
remove
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
36
ref
155
ref
674
ref
appTerm
1071
def
nil
cons
1072
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
674
ref
25
ref
appTerm
betaConv
appThm
465
ref
674
ref
26
ref
appTerm
betaConv
appThm
468
ref
443
ref
286
ref
465
ref
676
ref
appThm
674
ref
447
ref
appTerm
betaConv
appThm
appThm
674
ref
603
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
appThm
468
ref
443
ref
676
remove
absThm
appThm
appThm
nil
471
ref
674
remove
nil
cons
1073
def
cons
nil
cons
nil
cons
cons
471
ref
40
ref
773
remove
46
ref
473
ref
26
ref
appTerm
appTerm
155
ref
175
ref
40
ref
46
ref
474
remove
appTerm
473
ref
613
ref
appTerm
appTerm
appTerm
473
ref
610
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
appTerm
774
remove
appTerm
absTerm
1074
def
473
remove
appTerm
1075
def
betaConv
nil
479
remove
1074
ref
appTerm
1076
def
axiom
1077
def
nil
35
ref
1076
ref
nil
cons
cons
36
ref
1075
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
481
remove
482
remove
1074
remove
nil
cons
cons
483
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1078
def
subst
eqMp
eqMp
1079
def
nil
35
ref
1072
remove
cons
36
ref
675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1073
remove
cons
165
ref
574
ref
cons
nil
cons
1080
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1081
def
subst
608
ref
322
ref
subst
1082
def
trans
appThm
325
ref
trans
trans
trans
trans
trans
sym
76
ref
eqMp
eqMp
eqMp
163
ref
164
ref
548
ref
nil
cons
cons
165
ref
549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
39
ref
521
ref
121
ref
appTerm
1083
def
appTerm
1084
def
refl
131
ref
315
ref
36
ref
40
ref
119
ref
124
ref
40
ref
1036
ref
appTerm
1085
def
43
ref
appTerm
absTerm
appTerm
appTerm
43
ref
appTerm
absTerm
appTerm
absTerm
1086
def
121
remove
appTerm
betaConv
appThm
nil
136
remove
521
ref
appTerm
1086
remove
appTerm
axiom
137
remove
appThm
eqMp
1087
def
sym
nil
318
ref
85
ref
40
ref
119
ref
124
ref
40
ref
126
ref
appTerm
1088
def
90
ref
appTerm
1089
def
absTerm
1090
def
appTerm
1091
def
appTerm
1092
def
90
ref
appTerm
1093
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
695
ref
412
ref
subst
1094
def
subst
85
ref
nil
70
ref
1093
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1091
ref
nil
cons
1095
def
cons
1096
def
36
ref
90
ref
nil
cons
1097
def
cons
nil
cons
1098
def
cons
nil
cons
cons
1099
def
57
ref
subst
1099
ref
129
ref
subst
nil
35
ref
127
ref
cons
1098
ref
cons
nil
cons
cons
1100
def
108
ref
subst
1101
def
1090
ref
125
ref
appTerm
1102
def
betaConv
nil
1096
ref
36
ref
1102
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
346
ref
120
ref
1090
remove
nil
cons
cons
1103
def
124
ref
125
ref
nil
cons
1104
def
cons
nil
cons
1105
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1106
def
eqMp
eqMp
nil
83
ref
1095
ref
cons
1107
def
85
ref
1097
ref
cons
nil
cons
1108
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1109
def
subst
proveHyp
nil
35
ref
419
ref
548
remove
appTerm
nil
cons
cons
36
ref
529
ref
547
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
559
ref
cons
240
ref
736
remove
cons
nil
cons
cons
nil
cons
cons
142
ref
40
ref
419
ref
175
ref
810
ref
503
ref
150
ref
appTerm
1110
def
appTerm
1111
def
absTerm
1112
def
appTerm
1113
def
appTerm
1114
def
550
ref
150
ref
appTerm
1115
def
appTerm
1116
def
absTerm
1117
def
150
ref
appTerm
1118
def
betaConv
240
ref
155
ref
1117
ref
appTerm
1119
def
absTerm
1120
def
242
ref
appTerm
1121
def
betaConv
nil
155
ref
240
ref
155
ref
175
ref
155
ref
142
ref
40
ref
1111
ref
appTerm
1115
ref
appTerm
absTerm
1122
def
appTerm
1123
def
absTerm
1124
def
appTerm
1125
def
absTerm
1126
def
appTerm
1127
def
axiom
nil
35
ref
1127
ref
nil
cons
1128
def
cons
1129
def
36
ref
155
ref
1120
ref
appTerm
nil
cons
1130
def
cons
nil
cons
cons
nil
cons
cons
1131
def
108
ref
subst
proveHyp
1131
ref
57
ref
subst
1131
remove
129
ref
subst
nil
164
ref
1120
remove
nil
cons
cons
1132
def
nil
cons
nil
cons
cons
413
ref
subst
240
ref
nil
70
ref
1119
remove
nil
cons
1133
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
1117
remove
nil
cons
cons
1134
def
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
1116
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1113
remove
nil
cons
1135
def
cons
1136
def
36
ref
1115
ref
nil
cons
1137
def
cons
nil
cons
1138
def
cons
nil
cons
cons
1139
def
57
ref
subst
1139
remove
129
ref
subst
nil
1129
ref
1138
ref
cons
nil
cons
cons
1140
def
108
ref
subst
nil
1136
remove
36
ref
40
ref
1127
remove
appTerm
1115
remove
appTerm
1141
def
nil
cons
1142
def
cons
nil
cons
1143
def
cons
nil
cons
cons
108
ref
subst
nil
164
ref
175
ref
40
ref
1112
ref
181
ref
appTerm
1144
def
appTerm
1141
ref
appTerm
1145
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
1145
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1144
ref
nil
cons
1146
def
cons
1143
ref
cons
nil
cons
cons
1147
def
57
ref
subst
1147
remove
129
ref
subst
1144
ref
betaConv
1144
remove
assume
eqMp
nil
35
ref
1111
remove
nil
cons
1148
def
cons
1149
def
1143
remove
cons
nil
cons
cons
1150
def
108
ref
subst
proveHyp
1150
ref
57
ref
subst
1150
remove
129
ref
subst
1140
ref
57
ref
subst
1140
remove
129
ref
subst
nil
1149
remove
1138
remove
cons
nil
cons
cons
108
ref
subst
1122
ref
150
ref
appTerm
1151
def
betaConv
1124
ref
181
ref
appTerm
1152
def
betaConv
1126
ref
242
ref
appTerm
1153
def
betaConv
nil
1129
remove
36
ref
1153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
1126
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1125
remove
nil
cons
cons
36
ref
1152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1124
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1123
remove
nil
cons
cons
36
ref
1151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1122
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1128
remove
cons
1154
def
85
ref
1137
remove
cons
nil
cons
1155
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
1148
remove
cons
85
ref
1142
remove
cons
nil
cons
1156
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1146
remove
cons
1156
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1112
ref
165
ref
varTerm
1157
def
appTerm
appTerm
1141
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
1114
remove
1141
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1112
remove
nil
cons
cons
1156
remove
cons
nil
cons
cons
nil
1096
ref
36
ref
40
ref
1083
ref
appTerm
1158
def
90
ref
appTerm
nil
cons
1159
def
cons
nil
cons
cons
nil
cons
cons
1160
def
57
ref
subst
1160
remove
129
ref
subst
nil
35
ref
1083
remove
nil
cons
1161
def
cons
1162
def
1098
ref
cons
nil
cons
cons
1163
def
57
ref
subst
1163
remove
129
ref
subst
1099
remove
108
ref
subst
36
ref
40
ref
119
ref
124
ref
1088
remove
43
ref
appTerm
absTerm
appTerm
appTerm
43
ref
appTerm
absTerm
1164
def
90
ref
appTerm
1165
def
betaConv
nil
1162
remove
36
ref
315
ref
1164
ref
appTerm
1166
def
nil
cons
1167
def
cons
nil
cons
cons
nil
cons
cons
1168
def
108
ref
subst
1087
remove
nil
35
ref
1084
remove
1166
ref
appTerm
nil
cons
cons
36
ref
1158
remove
1166
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1168
remove
nil
35
ref
288
remove
nil
cons
1169
def
cons
1170
def
36
ref
295
ref
cons
nil
cons
1171
def
cons
nil
cons
cons
1172
def
57
ref
subst
1172
remove
129
ref
subst
294
remove
eqMp
nil
83
ref
1169
remove
cons
1173
def
85
ref
295
remove
cons
nil
cons
1174
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
1175
def
subst
eqMp
eqMp
nil
35
ref
1167
remove
cons
36
ref
1165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1164
remove
nil
cons
cons
319
ref
1097
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1161
remove
cons
1108
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
1107
ref
85
ref
1159
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
1176
def
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1135
remove
cons
1155
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1154
remove
85
ref
1130
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
1130
remove
cons
36
ref
1121
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1132
remove
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1133
remove
cons
36
ref
1118
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1134
remove
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1177
def
subst
eqMp
eqMp
163
ref
164
ref
530
remove
nil
cons
cons
594
remove
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
nil
83
ref
542
remove
cons
85
ref
539
ref
cons
nil
cons
1178
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
538
remove
cons
1178
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
505
ref
1157
ref
appTerm
appTerm
531
remove
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
535
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
505
remove
nil
cons
cons
1178
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
528
remove
appTerm
534
remove
appTerm
nil
cons
cons
36
ref
155
ref
507
ref
appTerm
1179
def
nil
cons
1180
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
507
ref
25
ref
appTerm
betaConv
appThm
468
ref
175
ref
286
ref
507
ref
181
ref
appTerm
betaConv
1181
def
appThm
509
remove
appThm
absThm
appThm
appThm
appThm
468
ref
175
ref
1181
remove
absThm
appThm
appThm
nil
471
ref
507
remove
nil
cons
1182
def
cons
nil
cons
nil
cons
cons
778
ref
subst
eqMp
eqMp
1183
def
nil
35
ref
1180
remove
cons
36
ref
508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1182
remove
cons
737
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1184
def
eqMp
eqMp
nil
35
ref
46
ref
201
ref
444
ref
467
ref
appTerm
appTerm
appTerm
155
ref
240
ref
470
remove
230
ref
201
ref
444
ref
242
ref
appTerm
1185
def
appTerm
appTerm
1186
def
appTerm
absTerm
appTerm
appTerm
1187
def
nil
cons
cons
36
ref
419
ref
443
ref
46
ref
357
ref
451
ref
appTerm
181
ref
appTerm
appTerm
201
ref
448
ref
appTerm
1188
def
appTerm
absTerm
1189
def
appTerm
1190
def
nil
cons
1191
def
cons
nil
cons
1192
def
cons
nil
cons
cons
108
ref
subst
proveHyp
420
ref
467
ref
appTerm
1193
def
betaConv
423
ref
nil
424
ref
36
ref
1193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
425
ref
165
ref
467
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
415
ref
15
ref
467
ref
appTerm
1194
def
25
ref
appTerm
1195
def
appTerm
419
ref
426
ref
1194
remove
428
ref
appTerm
1196
def
absTerm
1197
def
appTerm
1198
def
appTerm
nil
cons
1199
def
cons
36
ref
40
ref
1187
remove
appTerm
1190
ref
appTerm
1200
def
nil
cons
1201
def
cons
nil
cons
1202
def
cons
nil
cons
cons
1203
def
108
ref
subst
proveHyp
1203
ref
57
ref
subst
1203
remove
129
ref
subst
nil
164
ref
426
ref
40
ref
1197
ref
427
ref
appTerm
1204
def
appTerm
1200
ref
appTerm
1205
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
426
ref
nil
70
ref
1205
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1204
ref
nil
cons
1206
def
cons
1202
ref
cons
nil
cons
cons
1207
def
57
ref
subst
1207
remove
129
ref
subst
1204
ref
betaConv
1204
remove
assume
eqMp
nil
35
ref
1196
ref
nil
cons
1208
def
cons
1202
ref
cons
nil
cons
cons
1209
def
108
ref
subst
proveHyp
1209
ref
57
ref
subst
1209
remove
129
ref
subst
39
ref
"_32065"
11
ref
var
1210
def
40
ref
46
ref
201
ref
444
ref
1210
remove
varTerm
1211
def
appTerm
appTerm
appTerm
155
ref
240
ref
40
ref
469
ref
1211
remove
appTerm
appTerm
1186
ref
appTerm
absTerm
appTerm
appTerm
appTerm
1190
ref
appTerm
absTerm
1212
def
467
remove
appTerm
1213
def
appTerm
refl
1212
ref
428
ref
appTerm
betaConv
appThm
87
ref
1213
remove
betaConv
appThm
40
ref
46
ref
201
ref
444
ref
428
ref
appTerm
1214
def
appTerm
1215
def
appTerm
1216
def
155
ref
240
ref
40
ref
469
ref
428
ref
appTerm
appTerm
1186
ref
appTerm
absTerm
appTerm
appTerm
appTerm
1190
ref
appTerm
refl
appThm
trans
1212
remove
refl
1196
remove
assume
appThm
eqMp
sym
286
ref
1216
ref
refl
468
ref
240
ref
286
ref
nil
175
ref
427
ref
nil
cons
1217
def
cons
1218
def
nil
cons
nil
cons
cons
1219
def
175
ref
39
ref
469
ref
269
ref
appTerm
appTerm
551
ref
appTerm
absTerm
1220
def
181
ref
appTerm
1221
def
betaConv
240
ref
155
ref
1220
ref
appTerm
1222
def
absTerm
1223
def
242
ref
appTerm
1224
def
betaConv
nil
155
ref
1223
ref
appTerm
1225
def
axiom
nil
35
ref
1225
remove
nil
cons
cons
36
ref
1224
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1223
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1222
remove
nil
cons
cons
36
ref
1221
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1220
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1226
def
subst
appThm
nil
175
ref
1185
ref
nil
cons
cons
487
ref
cons
nil
cons
cons
175
ref
39
ref
230
ref
492
ref
appTerm
1227
def
appTerm
811
ref
appTerm
1228
def
absTerm
1229
def
181
ref
appTerm
1230
def
betaConv
240
ref
155
ref
1229
ref
appTerm
1231
def
absTerm
1232
def
242
ref
appTerm
1233
def
betaConv
nil
155
ref
1232
ref
appTerm
1234
def
axiom
1235
def
nil
35
ref
1234
remove
nil
cons
cons
36
ref
1233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1232
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1231
remove
nil
cons
cons
36
ref
1230
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1229
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1236
def
subst
appThm
absThm
appThm
appThm
appThm
1190
ref
refl
1237
def
appThm
sym
nil
35
ref
1216
remove
155
ref
240
ref
40
ref
550
ref
427
ref
appTerm
appTerm
357
ref
1185
remove
appTerm
181
ref
appTerm
appTerm
absTerm
1238
def
appTerm
1239
def
appTerm
nil
cons
1240
def
cons
1192
remove
cons
nil
cons
cons
1241
def
57
ref
subst
1241
remove
129
ref
subst
nil
83
ref
1215
ref
nil
cons
1242
def
cons
85
ref
1239
remove
nil
cons
1243
def
cons
nil
cons
cons
nil
cons
cons
1244
def
99
ref
subst
1244
remove
305
ref
subst
1189
ref
427
ref
appTerm
betaConv
sym
46
ref
357
ref
444
ref
427
ref
appTerm
1245
def
appTerm
181
ref
appTerm
1246
def
appTerm
refl
201
ref
refl
1247
def
626
ref
nil
240
ref
1217
ref
cons
nil
cons
1248
def
nil
cons
cons
1249
def
240
ref
15
ref
628
remove
appTerm
1250
def
489
ref
appTerm
1251
def
absTerm
1252
def
242
ref
appTerm
1253
def
betaConv
468
ref
240
ref
1251
remove
assume
sym
629
remove
assume
sym
deductAntisym
absThm
appThm
633
remove
eqMp
nil
35
ref
155
ref
1252
ref
appTerm
nil
cons
cons
36
ref
1253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1252
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1254
def
subst
1255
def
appThm
appThm
nil
70
ref
1242
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
1215
remove
assume
eqMp
trans
appThm
nil
70
ref
1246
remove
nil
cons
1256
def
cons
nil
cons
nil
cons
cons
70
ref
39
ref
1057
remove
62
ref
appTerm
appTerm
73
ref
appTerm
absTerm
1257
def
73
ref
appTerm
1258
def
betaConv
nil
315
ref
1257
ref
appTerm
1259
def
axiom
nil
35
ref
1259
remove
nil
cons
cons
36
ref
1258
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1257
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1260
def
subst
trans
sym
1219
ref
175
ref
503
ref
181
ref
appTerm
1261
def
absTerm
1262
def
181
ref
appTerm
1263
def
betaConv
nil
155
ref
1262
ref
appTerm
1264
def
axiom
nil
35
ref
1264
remove
nil
cons
cons
36
ref
1263
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1262
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1265
def
subst
nil
35
ref
546
ref
427
ref
appTerm
nil
cons
cons
36
ref
1256
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1249
ref
1238
ref
242
ref
appTerm
1266
def
betaConv
nil
35
ref
1243
remove
cons
36
ref
1266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
1238
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
163
ref
164
ref
1189
ref
nil
cons
cons
1267
def
165
ref
1217
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
1240
remove
cons
85
ref
1191
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1208
remove
cons
85
ref
1201
ref
cons
nil
cons
1268
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1206
remove
cons
1268
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1197
ref
1157
ref
appTerm
appTerm
1200
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1198
ref
appTerm
1200
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1197
remove
nil
cons
cons
1268
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
nil
35
ref
1195
ref
nil
cons
1269
def
cons
1202
remove
cons
nil
cons
cons
1270
def
57
ref
subst
1270
remove
129
ref
subst
286
ref
465
ref
1247
ref
626
ref
1195
remove
assume
1271
def
appThm
680
ref
trans
appThm
767
ref
240
ref
230
ref
469
ref
25
ref
appTerm
1272
def
appTerm
1273
def
absTerm
1274
def
242
ref
appTerm
1275
def
betaConv
nil
155
ref
1274
ref
appTerm
1276
def
axiom
nil
35
ref
1276
remove
nil
cons
cons
36
ref
1275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1274
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1273
remove
nil
cons
cons
36
ref
39
ref
1272
ref
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
83
ref
1272
remove
nil
cons
cons
nil
cons
nil
cons
cons
321
ref
subst
eqMp
1277
def
subst
trans
appThm
468
ref
240
ref
286
ref
469
ref
refl
1271
remove
appThm
1277
ref
trans
appThm
1186
ref
refl
appThm
nil
70
ref
1186
remove
nil
cons
cons
nil
cons
nil
cons
cons
70
ref
39
ref
310
ref
73
ref
appTerm
appTerm
62
ref
appTerm
absTerm
1278
def
73
ref
appTerm
1279
def
betaConv
nil
315
ref
1278
ref
appTerm
1280
def
axiom
nil
35
ref
1280
remove
nil
cons
cons
36
ref
1279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1278
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1281
def
subst
trans
absThm
appThm
743
ref
trans
appThm
520
ref
975
ref
subst
trans
appThm
1237
remove
appThm
nil
70
ref
1191
ref
cons
nil
cons
nil
cons
cons
1282
def
1281
ref
subst
trans
sym
76
ref
eqMp
eqMp
nil
83
ref
1269
remove
cons
1283
def
1268
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
1283
remove
85
ref
1198
remove
nil
cons
cons
991
ref
1201
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
1199
remove
cons
1268
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
1284
def
nil
35
ref
1191
remove
cons
36
ref
419
ref
"j"
11
ref
var
1285
def
46
ref
357
ref
444
ref
210
ref
1285
ref
varTerm
1286
def
appTerm
1287
def
26
ref
appTerm
1288
def
appTerm
1289
def
appTerm
1290
def
181
ref
appTerm
1291
def
appTerm
46
ref
201
ref
444
ref
1287
ref
602
ref
appTerm
1292
def
appTerm
1293
def
appTerm
1294
def
appTerm
357
ref
445
ref
appTerm
1295
def
1286
ref
appTerm
1296
def
appTerm
1297
def
appTerm
1298
def
absTerm
1299
def
appTerm
1300
def
nil
cons
1301
def
cons
nil
cons
1302
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
"k'"
11
ref
var
1303
def
40
ref
1189
ref
1303
ref
varTerm
1304
def
appTerm
1305
def
appTerm
1300
ref
appTerm
1306
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1303
remove
nil
70
ref
1306
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1305
ref
nil
cons
1307
def
cons
1302
ref
cons
nil
cons
cons
1308
def
57
ref
subst
1308
remove
129
ref
subst
1305
ref
betaConv
1305
remove
assume
eqMp
nil
35
ref
46
ref
357
ref
444
ref
1304
ref
appTerm
appTerm
181
ref
appTerm
1309
def
appTerm
201
ref
444
ref
210
ref
1304
ref
appTerm
26
ref
appTerm
1310
def
appTerm
1311
def
appTerm
1312
def
appTerm
nil
cons
1313
def
cons
1302
ref
cons
nil
cons
cons
1314
def
108
ref
subst
proveHyp
1314
ref
57
ref
subst
1314
remove
129
ref
subst
nil
83
ref
1309
ref
nil
cons
cons
85
ref
1312
ref
nil
cons
1315
def
cons
nil
cons
cons
nil
cons
cons
1316
def
99
ref
subst
1316
remove
305
ref
subst
200
ref
447
ref
appTerm
1317
def
refl
nil
240
ref
1304
ref
nil
cons
1318
def
cons
nil
cons
nil
cons
cons
634
ref
subst
appThm
sym
175
ref
46
ref
449
ref
appTerm
1319
def
1312
ref
appTerm
absTerm
1320
def
181
ref
appTerm
betaConv
sym
465
ref
nil
70
ref
458
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
449
remove
assume
eqMp
1321
def
appThm
nil
70
ref
1315
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
1312
remove
assume
1322
def
eqMp
appThm
782
ref
trans
sym
76
ref
eqMp
eqMp
163
ref
164
ref
1320
ref
nil
cons
cons
192
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
1320
remove
appTerm
nil
cons
cons
36
ref
200
ref
448
ref
appTerm
1311
ref
appTerm
nil
cons
1323
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
1311
remove
nil
cons
cons
642
remove
cons
nil
cons
cons
142
ref
40
ref
419
ref
175
ref
810
remove
201
ref
150
ref
appTerm
1324
def
appTerm
1325
def
absTerm
1326
def
appTerm
1327
def
appTerm
1328
def
469
ref
150
ref
appTerm
1329
def
appTerm
1330
def
absTerm
1331
def
150
ref
appTerm
1332
def
betaConv
240
ref
155
ref
1331
ref
appTerm
1333
def
absTerm
1334
def
242
ref
appTerm
1335
def
betaConv
nil
155
ref
240
ref
155
ref
175
ref
155
ref
142
ref
40
ref
1325
ref
appTerm
1329
ref
appTerm
absTerm
1336
def
appTerm
1337
def
absTerm
1338
def
appTerm
1339
def
absTerm
1340
def
appTerm
1341
def
axiom
nil
35
ref
1341
ref
nil
cons
1342
def
cons
1343
def
36
ref
155
ref
1334
ref
appTerm
nil
cons
1344
def
cons
nil
cons
cons
nil
cons
cons
1345
def
108
ref
subst
proveHyp
1345
ref
57
ref
subst
1345
remove
129
ref
subst
nil
164
ref
1334
remove
nil
cons
cons
1346
def
nil
cons
nil
cons
cons
413
ref
subst
240
ref
nil
70
ref
1333
remove
nil
cons
1347
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
1331
remove
nil
cons
cons
1348
def
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
1330
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1327
remove
nil
cons
1349
def
cons
1350
def
36
ref
1329
ref
nil
cons
1351
def
cons
nil
cons
1352
def
cons
nil
cons
cons
1353
def
57
ref
subst
1353
remove
129
ref
subst
nil
1343
ref
1352
ref
cons
nil
cons
cons
1354
def
108
ref
subst
nil
1350
remove
36
ref
40
ref
1341
remove
appTerm
1329
ref
appTerm
1355
def
nil
cons
1356
def
cons
nil
cons
1357
def
cons
nil
cons
cons
108
ref
subst
nil
164
ref
175
ref
40
ref
1326
ref
181
ref
appTerm
1358
def
appTerm
1355
ref
appTerm
1359
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
1359
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1358
ref
nil
cons
1360
def
cons
1357
ref
cons
nil
cons
cons
1361
def
57
ref
subst
1361
remove
129
ref
subst
1358
ref
betaConv
1358
remove
assume
eqMp
nil
35
ref
1325
remove
nil
cons
1362
def
cons
1363
def
1357
remove
cons
nil
cons
cons
1364
def
108
ref
subst
proveHyp
1364
ref
57
ref
subst
1364
remove
129
ref
subst
1354
ref
57
ref
subst
1354
remove
129
ref
subst
nil
1363
remove
1352
ref
cons
nil
cons
cons
108
ref
subst
1336
ref
150
ref
appTerm
1365
def
betaConv
1338
ref
181
ref
appTerm
1366
def
betaConv
1340
ref
242
ref
appTerm
1367
def
betaConv
nil
1343
remove
36
ref
1367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
1340
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1339
remove
nil
cons
cons
36
ref
1366
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1338
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1337
remove
nil
cons
cons
36
ref
1365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1336
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1342
remove
cons
1368
def
85
ref
1351
remove
cons
nil
cons
1369
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
1362
remove
cons
85
ref
1356
remove
cons
nil
cons
1370
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1360
remove
cons
1370
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1326
ref
1157
ref
appTerm
appTerm
1355
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
1328
remove
1355
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1326
remove
nil
cons
cons
1370
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1349
remove
cons
1369
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1368
remove
85
ref
1344
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
1344
remove
cons
36
ref
1335
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1346
remove
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1347
remove
cons
36
ref
1332
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1348
remove
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1371
def
subst
eqMp
nil
35
ref
1323
remove
cons
36
ref
1317
ref
1310
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
1310
remove
nil
cons
cons
1285
ref
447
ref
nil
cons
1372
def
cons
nil
cons
cons
nil
cons
cons
nil
822
ref
200
ref
1286
ref
appTerm
445
ref
appTerm
1373
def
nil
cons
1374
def
cons
821
ref
200
ref
444
ref
1286
ref
appTerm
1375
def
appTerm
1376
def
451
ref
appTerm
1377
def
nil
cons
1378
def
cons
nil
cons
cons
nil
cons
cons
821
ref
39
ref
40
ref
824
ref
appTerm
823
ref
appTerm
1379
def
appTerm
40
ref
826
remove
appTerm
827
remove
appTerm
1380
def
appTerm
1381
def
absTerm
1382
def
824
ref
appTerm
1383
def
betaConv
822
ref
315
ref
1382
ref
appTerm
1384
def
absTerm
1385
def
823
ref
appTerm
1386
def
betaConv
315
ref
refl
1387
def
822
ref
1387
ref
821
ref
1381
remove
assume
sym
39
ref
1380
remove
appTerm
1379
remove
appTerm
1388
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
315
ref
822
ref
315
ref
821
ref
1388
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
315
ref
1385
ref
appTerm
nil
cons
cons
36
ref
1386
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1385
remove
nil
cons
cons
834
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1384
remove
nil
cons
cons
36
ref
1383
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1382
remove
nil
cons
cons
835
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1389
def
subst
sym
286
ref
nil
606
ref
240
ref
1286
ref
nil
cons
1390
def
cons
1391
def
nil
cons
1392
def
cons
nil
cons
cons
1393
def
1236
ref
subst
appThm
nil
485
ref
240
ref
1375
ref
nil
cons
1394
def
cons
nil
cons
1395
def
cons
nil
cons
cons
1396
def
1236
remove
subst
appThm
sym
nil
443
ref
1390
ref
cons
1397
def
1285
ref
574
ref
cons
nil
cons
cons
nil
cons
cons
1398
def
443
ref
40
ref
357
ref
1286
ref
appTerm
1399
def
445
ref
appTerm
1400
def
appTerm
357
ref
1375
ref
appTerm
1401
def
451
ref
appTerm
1402
def
appTerm
absTerm
1403
def
445
ref
appTerm
1404
def
betaConv
1405
def
1285
ref
155
ref
1403
ref
appTerm
1406
def
absTerm
1407
def
1286
ref
appTerm
1408
def
betaConv
1409
def
465
ref
468
ref
443
ref
286
ref
608
ref
517
ref
subst
appThm
357
ref
refl
1410
def
680
ref
appThm
637
ref
appThm
518
remove
trans
appThm
520
ref
70
ref
39
ref
40
ref
62
ref
appTerm
1411
def
73
ref
appTerm
appTerm
73
ref
appTerm
absTerm
1412
def
73
ref
appTerm
1413
def
betaConv
nil
315
ref
1412
ref
appTerm
1414
def
axiom
nil
35
ref
1414
remove
nil
cons
cons
36
ref
1413
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1412
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1415
def
subst
trans
absThm
appThm
743
ref
trans
appThm
465
ref
468
ref
443
ref
40
ref
357
ref
26
ref
appTerm
1416
def
445
ref
appTerm
appTerm
1417
def
refl
1410
ref
692
ref
appThm
637
ref
appThm
appThm
absThm
appThm
appThm
468
ref
1285
ref
40
ref
46
ref
1406
ref
appTerm
155
ref
443
ref
40
ref
357
ref
1288
ref
appTerm
1418
def
445
ref
appTerm
appTerm
1290
ref
451
ref
appTerm
appTerm
absTerm
1419
def
appTerm
1420
def
appTerm
1421
def
appTerm
1422
def
refl
468
ref
443
ref
40
ref
357
ref
1292
ref
appTerm
1423
def
445
ref
appTerm
1424
def
appTerm
1425
def
refl
1410
ref
nil
175
ref
1390
ref
cons
1426
def
nil
cons
1427
def
nil
cons
cons
1428
def
622
ref
subst
appThm
637
ref
appThm
appThm
absThm
appThm
appThm
absThm
appThm
appThm
appThm
nil
70
ref
46
ref
155
ref
443
ref
1417
ref
1416
ref
451
ref
appTerm
appTerm
absTerm
1429
def
appTerm
1430
def
appTerm
155
ref
1285
ref
1422
ref
155
ref
443
ref
1425
ref
357
ref
210
ref
1289
ref
appTerm
1431
def
1375
ref
appTerm
1432
def
appTerm
1433
def
451
ref
appTerm
1434
def
appTerm
1435
def
absTerm
1436
def
appTerm
1437
def
appTerm
1438
def
absTerm
1439
def
appTerm
1440
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
711
ref
subst
trans
sym
nil
164
ref
1429
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
286
ref
1410
ref
266
ref
appThm
1441
def
445
ref
refl
1442
def
appThm
nil
606
ref
793
remove
nil
cons
1443
def
cons
nil
cons
cons
501
ref
subst
608
ref
237
ref
subst
trans
trans
appThm
1441
ref
637
ref
appThm
nil
485
ref
1443
ref
cons
nil
cons
cons
501
ref
subst
511
ref
237
ref
subst
238
ref
1081
ref
appThm
trans
trans
trans
appThm
nil
70
ref
230
ref
672
ref
appTerm
1444
def
nil
cons
cons
nil
cons
nil
cons
cons
nil
70
ref
877
ref
73
ref
appTerm
1445
def
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
70
ref
1445
remove
absTerm
1446
def
73
ref
appTerm
1447
def
betaConv
nil
315
ref
1446
ref
appTerm
1448
def
axiom
nil
35
ref
1448
remove
nil
cons
cons
36
ref
1447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1446
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
1449
def
subst
trans
absThm
eqMp
nil
35
ref
1430
remove
nil
cons
cons
36
ref
1440
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
1439
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
1438
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1421
remove
nil
cons
1450
def
cons
36
ref
1437
remove
nil
cons
1451
def
cons
nil
cons
cons
nil
cons
cons
1452
def
57
ref
subst
1452
remove
129
ref
subst
nil
83
ref
1406
remove
nil
cons
1453
def
cons
85
ref
1420
remove
nil
cons
1454
def
cons
nil
cons
cons
nil
cons
cons
1455
def
99
ref
subst
1455
remove
305
ref
subst
nil
164
ref
1436
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
1435
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1424
ref
nil
cons
1456
def
cons
36
ref
1434
ref
nil
cons
1457
def
cons
nil
cons
1458
def
cons
nil
cons
cons
1459
def
57
ref
subst
1459
remove
129
ref
subst
175
ref
46
ref
1423
ref
181
ref
appTerm
appTerm
503
ref
1287
ref
445
ref
appTerm
1460
def
appTerm
appTerm
absTerm
1461
def
445
ref
appTerm
betaConv
sym
465
ref
nil
70
ref
1456
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
1424
remove
assume
1462
def
eqMp
appThm
nil
1391
remove
607
ref
cons
nil
cons
cons
nil
70
ref
503
ref
577
ref
appTerm
1463
def
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
175
ref
1463
remove
absTerm
1464
def
181
ref
appTerm
1465
def
betaConv
240
ref
155
ref
1464
ref
appTerm
1466
def
absTerm
1467
def
242
ref
appTerm
1468
def
betaConv
nil
155
ref
1467
ref
appTerm
1469
def
axiom
nil
35
ref
1469
remove
nil
cons
cons
36
ref
1468
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1467
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1466
remove
nil
cons
cons
36
ref
1465
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1464
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
1470
def
subst
appThm
782
ref
trans
sym
76
ref
eqMp
eqMp
163
ref
164
ref
1461
ref
nil
cons
cons
1080
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
1461
remove
appTerm
nil
cons
cons
36
ref
1423
ref
1460
ref
appTerm
1471
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
1460
ref
nil
cons
cons
240
ref
1292
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1177
ref
subst
eqMp
463
ref
852
ref
671
ref
refl
nil
863
ref
240
ref
727
ref
cons
1472
def
nil
cons
1473
def
cons
nil
cons
cons
893
ref
181
ref
appTerm
1474
def
betaConv
1475
def
895
ref
242
ref
appTerm
1476
def
betaConv
1477
def
897
ref
nil
899
ref
36
ref
1476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
909
ref
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
894
ref
nil
cons
cons
36
ref
1474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
893
remove
nil
cons
1478
def
cons
1479
def
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1480
def
subst
appThm
absThm
appThm
nil
606
ref
1473
remove
cons
nil
cons
cons
175
ref
39
ref
551
remove
appTerm
419
ref
852
ref
231
ref
243
ref
853
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1481
def
181
ref
appTerm
1482
def
betaConv
240
ref
155
ref
1481
ref
appTerm
1483
def
absTerm
1484
def
242
ref
appTerm
1485
def
betaConv
nil
155
ref
1484
ref
appTerm
1486
def
axiom
nil
35
ref
1486
remove
nil
cons
cons
36
ref
1485
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1484
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1483
remove
nil
cons
cons
36
ref
1482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1481
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1487
def
subst
nil
142
ref
574
remove
cons
728
ref
1392
ref
cons
cons
nil
cons
cons
142
ref
39
ref
357
ref
577
ref
appTerm
643
ref
appTerm
appTerm
1110
ref
appTerm
absTerm
1488
def
150
ref
appTerm
1489
def
betaConv
175
ref
155
ref
1488
ref
appTerm
1490
def
absTerm
1491
def
181
ref
appTerm
1492
def
betaConv
240
ref
155
ref
1491
ref
appTerm
1493
def
absTerm
1494
def
242
ref
appTerm
1495
def
betaConv
nil
155
ref
1494
ref
appTerm
1496
def
axiom
nil
35
ref
1496
remove
nil
cons
cons
36
ref
1495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1494
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1493
remove
nil
cons
cons
36
ref
1492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1491
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1490
remove
nil
cons
cons
36
ref
1489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1488
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1497
def
subst
1471
remove
assume
eqMp
eqMp
eqMp
nil
35
ref
419
ref
852
ref
671
ref
210
ref
853
ref
appTerm
1498
def
602
ref
appTerm
1499
def
appTerm
1500
def
absTerm
1501
def
appTerm
1502
def
nil
cons
cons
1458
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
40
ref
1501
ref
853
ref
appTerm
1503
def
appTerm
1434
ref
appTerm
1504
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
1504
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1503
ref
nil
cons
1505
def
cons
1458
ref
cons
nil
cons
cons
1506
def
57
ref
subst
1506
remove
129
ref
subst
1503
ref
betaConv
1503
remove
assume
eqMp
nil
35
ref
1500
ref
nil
cons
1507
def
cons
1458
remove
cons
nil
cons
cons
1508
def
108
ref
subst
proveHyp
1508
ref
57
ref
subst
1508
remove
129
ref
subst
39
ref
"_32049"
11
ref
var
1509
def
1433
ref
444
ref
1509
remove
varTerm
appTerm
appTerm
absTerm
1510
def
445
ref
appTerm
1511
def
appTerm
refl
1510
ref
1499
ref
appTerm
betaConv
appThm
87
ref
1511
remove
betaConv
appThm
1433
ref
444
ref
1499
ref
appTerm
appTerm
1512
def
refl
1513
def
appThm
trans
1510
remove
refl
1500
remove
assume
1514
def
appThm
eqMp
sym
39
ref
"_32055"
11
ref
var
1515
def
1423
ref
1515
remove
varTerm
appTerm
absTerm
1516
def
445
ref
appTerm
1517
def
appTerm
refl
1516
ref
1499
ref
appTerm
betaConv
appThm
87
ref
1517
remove
betaConv
appThm
1423
remove
1499
remove
appTerm
1518
def
refl
appThm
trans
1516
remove
refl
1514
remove
appThm
eqMp
1462
remove
eqMp
nil
35
ref
1518
remove
nil
cons
cons
36
ref
1512
remove
nil
cons
1519
def
cons
nil
cons
1520
def
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
nil
142
ref
862
ref
cons
1521
def
1472
remove
1427
ref
cons
cons
nil
cons
cons
142
ref
39
ref
357
ref
891
ref
appTerm
910
ref
appTerm
appTerm
1110
ref
appTerm
absTerm
1522
def
150
ref
appTerm
1523
def
betaConv
175
ref
155
ref
1522
ref
appTerm
1524
def
absTerm
1525
def
181
ref
appTerm
1526
def
betaConv
240
ref
155
ref
1525
ref
appTerm
1527
def
absTerm
1528
def
242
ref
appTerm
1529
def
betaConv
nil
155
ref
1528
ref
appTerm
1530
def
axiom
nil
35
ref
1530
remove
nil
cons
cons
36
ref
1529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1528
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1527
remove
nil
cons
cons
36
ref
1526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1525
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1524
remove
nil
cons
cons
36
ref
1523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1522
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1531
def
subst
appThm
1513
remove
appThm
sym
nil
35
ref
1399
ref
853
ref
appTerm
1532
def
nil
cons
1533
def
cons
1534
def
1520
remove
cons
nil
cons
cons
1535
def
57
ref
subst
1535
remove
129
ref
subst
1433
ref
refl
nil
863
ref
nil
cons
nil
cons
cons
622
ref
subst
appThm
sym
175
ref
46
ref
1433
ref
181
ref
appTerm
appTerm
503
ref
210
ref
444
ref
1498
ref
26
ref
appTerm
1536
def
appTerm
1537
def
appTerm
444
ref
853
ref
appTerm
1538
def
appTerm
1539
def
appTerm
appTerm
absTerm
1540
def
1431
remove
1538
ref
appTerm
1541
def
appTerm
betaConv
sym
465
ref
nil
142
ref
1538
ref
nil
cons
1542
def
cons
175
ref
1394
remove
cons
1543
def
240
ref
1289
ref
nil
cons
1544
def
cons
nil
cons
cons
cons
nil
cons
cons
1497
remove
subst
appThm
nil
142
ref
1537
ref
nil
cons
cons
240
ref
1542
remove
cons
175
ref
1544
remove
cons
nil
cons
cons
cons
nil
cons
cons
1531
ref
subst
appThm
sym
nil
1534
remove
36
ref
1401
ref
1538
remove
appTerm
nil
cons
1545
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
443
ref
862
ref
cons
nil
cons
nil
cons
cons
1405
remove
nil
35
ref
1453
remove
cons
36
ref
1404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
1546
def
163
ref
164
ref
1403
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
1547
def
eqMp
eqMp
subst
eqMp
nil
35
ref
1545
remove
cons
36
ref
1290
remove
1537
remove
appTerm
nil
cons
cons
nil
cons
1548
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
1521
remove
1069
remove
1427
remove
cons
cons
nil
cons
cons
1531
ref
subst
nil
70
ref
1533
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
1532
remove
assume
eqMp
trans
sym
76
ref
eqMp
nil
35
ref
1418
remove
1536
ref
appTerm
nil
cons
cons
1548
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
1536
remove
nil
cons
cons
nil
cons
nil
cons
cons
1419
ref
445
ref
appTerm
1549
def
betaConv
nil
35
ref
1454
remove
cons
36
ref
1549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
1419
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
163
ref
164
ref
1540
ref
nil
cons
cons
165
ref
1541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
1540
remove
appTerm
nil
cons
cons
36
ref
1433
remove
1539
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
1539
remove
nil
cons
cons
240
ref
1432
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1177
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
1533
remove
cons
85
ref
1519
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1507
remove
cons
85
ref
1457
remove
cons
nil
cons
1550
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1505
remove
cons
1550
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1501
ref
1157
ref
appTerm
appTerm
1434
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1502
remove
appTerm
1434
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1501
remove
nil
cons
cons
1550
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
83
ref
1456
remove
cons
1550
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
1450
remove
cons
85
ref
1451
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
35
ref
46
ref
155
ref
443
ref
40
ref
512
remove
445
ref
appTerm
appTerm
357
ref
677
ref
appTerm
451
ref
appTerm
appTerm
absTerm
appTerm
appTerm
46
ref
155
ref
443
ref
1417
remove
357
ref
690
remove
appTerm
451
ref
appTerm
appTerm
absTerm
appTerm
appTerm
155
ref
1285
ref
1422
remove
155
ref
443
ref
1425
remove
357
ref
1293
remove
appTerm
451
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
nil
cons
cons
36
ref
155
ref
1407
ref
appTerm
1551
def
nil
cons
1552
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
1407
ref
25
ref
appTerm
betaConv
appThm
465
ref
1407
ref
26
ref
appTerm
betaConv
appThm
468
ref
1285
ref
286
ref
465
ref
1409
ref
appThm
1407
ref
1288
ref
appTerm
betaConv
appThm
appThm
1407
ref
1292
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
appThm
468
ref
1285
ref
1409
remove
absThm
appThm
appThm
nil
471
ref
1407
remove
nil
cons
1553
def
cons
nil
cons
nil
cons
cons
1078
ref
subst
eqMp
eqMp
1554
def
nil
35
ref
1552
remove
cons
36
ref
1408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1553
remove
cons
165
ref
1390
remove
cons
nil
cons
1555
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1546
remove
proveHyp
1547
remove
eqMp
eqMp
1556
def
subst
eqMp
eqMp
1557
def
subst
eqMp
eqMp
nil
175
ref
1318
remove
cons
240
ref
1372
ref
cons
nil
cons
cons
nil
cons
cons
1558
def
1226
ref
subst
1558
remove
1487
ref
subst
trans
1317
remove
254
ref
1304
ref
appTerm
appTerm
assume
eqMp
nil
35
ref
419
ref
852
ref
15
ref
1304
ref
appTerm
210
ref
447
ref
appTerm
1559
def
853
ref
appTerm
1560
def
appTerm
1561
def
absTerm
1562
def
appTerm
1563
def
nil
cons
cons
1302
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
40
ref
1562
ref
853
ref
appTerm
1564
def
appTerm
1300
ref
appTerm
1565
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
1565
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1564
ref
nil
cons
1566
def
cons
1302
ref
cons
nil
cons
cons
1567
def
57
ref
subst
1567
remove
129
ref
subst
1564
ref
betaConv
1564
remove
assume
eqMp
nil
35
ref
1561
ref
nil
cons
1568
def
cons
1302
remove
cons
nil
cons
cons
1569
def
108
ref
subst
proveHyp
1569
ref
57
ref
subst
1569
remove
129
ref
subst
1299
ref
446
ref
853
ref
appTerm
1570
def
appTerm
betaConv
sym
39
ref
"_32349"
11
ref
var
1571
def
201
ref
444
ref
210
ref
1571
remove
varTerm
appTerm
26
ref
appTerm
appTerm
appTerm
absTerm
1572
def
1304
ref
appTerm
1573
def
appTerm
refl
1572
ref
1560
ref
appTerm
betaConv
appThm
87
ref
1573
remove
betaConv
appThm
201
ref
444
ref
210
ref
1560
ref
appTerm
26
ref
appTerm
appTerm
appTerm
1574
def
refl
appThm
trans
1572
remove
refl
1561
remove
assume
1575
def
appThm
eqMp
1322
remove
eqMp
nil
35
ref
1574
ref
nil
cons
cons
36
ref
46
ref
357
ref
444
ref
210
ref
1570
ref
appTerm
1576
def
26
ref
appTerm
appTerm
appTerm
181
ref
appTerm
1577
def
appTerm
1578
def
46
ref
201
ref
444
ref
1576
ref
602
ref
appTerm
1579
def
appTerm
appTerm
1580
def
appTerm
1295
remove
1570
ref
appTerm
appTerm
appTerm
1581
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
39
ref
"_32347"
11
ref
var
1582
def
357
ref
444
ref
1582
remove
varTerm
appTerm
appTerm
181
ref
appTerm
absTerm
1583
def
1304
remove
appTerm
1584
def
appTerm
refl
1583
ref
1560
ref
appTerm
betaConv
appThm
87
ref
1584
remove
betaConv
appThm
357
ref
444
ref
1560
remove
appTerm
appTerm
181
ref
appTerm
1585
def
refl
appThm
trans
1583
remove
refl
1575
remove
appThm
eqMp
1309
remove
assume
eqMp
nil
35
ref
1585
remove
nil
cons
cons
36
ref
40
ref
1574
remove
appTerm
1581
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
1410
ref
626
ref
625
ref
564
ref
266
ref
appThm
590
ref
trans
1586
def
appThm
853
ref
refl
appThm
nil
863
ref
575
ref
cons
nil
cons
cons
1587
def
765
ref
subst
1588
def
trans
1589
def
appThm
appThm
181
ref
refl
1590
def
appThm
appThm
286
ref
1247
ref
626
ref
625
ref
1589
remove
appThm
266
ref
appThm
nil
573
ref
240
ref
1570
ref
nil
cons
1591
def
cons
nil
cons
1592
def
cons
nil
cons
cons
1593
def
765
ref
subst
262
ref
nil
176
ref
1592
ref
cons
nil
cons
cons
587
ref
subst
262
ref
nil
1592
ref
nil
cons
cons
252
ref
subst
appThm
trans
1594
def
appThm
1595
def
trans
1596
def
trans
appThm
appThm
appThm
465
ref
1410
ref
626
ref
1576
remove
refl
1597
def
266
ref
appThm
1594
remove
trans
appThm
appThm
1590
ref
appThm
appThm
1598
def
465
ref
1247
ref
626
ref
1597
remove
572
ref
appThm
1593
remove
587
ref
subst
1595
remove
trans
1599
def
trans
appThm
appThm
1600
def
appThm
1587
ref
nil
70
ref
550
ref
577
ref
appTerm
1601
def
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
175
ref
1601
remove
absTerm
1602
def
181
ref
appTerm
1603
def
betaConv
240
ref
155
ref
1602
ref
appTerm
1604
def
absTerm
1605
def
242
ref
appTerm
1606
def
betaConv
nil
155
ref
1605
ref
appTerm
1607
def
axiom
nil
35
ref
1607
remove
nil
cons
cons
36
ref
1606
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1605
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1604
remove
nil
cons
cons
36
ref
1603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1602
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1608
def
eqMp
1609
def
subst
1610
def
appThm
nil
70
ref
201
ref
444
ref
254
ref
254
ref
1570
ref
appTerm
1611
def
appTerm
1612
def
appTerm
1613
def
appTerm
1614
def
nil
cons
1615
def
cons
nil
cons
nil
cons
cons
1260
ref
subst
trans
appThm
appThm
appThm
sym
nil
35
ref
357
ref
444
ref
1611
ref
appTerm
appTerm
181
ref
appTerm
1616
def
nil
cons
1617
def
cons
1618
def
36
ref
40
ref
1614
ref
appTerm
46
ref
1616
remove
appTerm
1614
ref
appTerm
1619
def
appTerm
nil
cons
1620
def
cons
nil
cons
cons
nil
cons
cons
1621
def
57
ref
subst
1621
remove
129
ref
subst
nil
35
ref
1615
ref
cons
36
ref
1619
ref
nil
cons
1622
def
cons
nil
cons
cons
nil
cons
cons
1623
def
57
ref
subst
1623
remove
129
ref
subst
nil
1618
remove
36
ref
1615
ref
cons
nil
cons
1624
def
cons
nil
cons
cons
129
ref
subst
1614
remove
assume
eqMp
eqMp
nil
83
ref
1615
remove
cons
85
ref
1622
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
1617
remove
cons
85
ref
1620
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
163
ref
164
ref
1299
ref
nil
cons
cons
1625
def
165
ref
1591
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
nil
83
ref
1568
remove
cons
85
ref
1301
ref
cons
nil
cons
1626
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1566
remove
cons
1626
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1562
ref
1157
ref
appTerm
appTerm
1300
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1563
remove
appTerm
1300
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1562
remove
nil
cons
cons
1626
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
1313
remove
cons
1626
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1307
remove
cons
1626
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1189
remove
1157
ref
appTerm
appTerm
1300
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1190
ref
appTerm
1300
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1267
remove
1626
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
nil
35
ref
1301
remove
cons
461
ref
cons
nil
cons
cons
108
ref
subst
nil
164
ref
1285
ref
40
ref
1299
ref
1286
ref
appTerm
1627
def
appTerm
453
ref
appTerm
1628
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
1628
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1627
ref
nil
cons
1629
def
cons
461
ref
cons
nil
cons
cons
1630
def
57
ref
subst
1630
remove
129
ref
subst
1627
ref
betaConv
1627
remove
assume
eqMp
nil
35
ref
1298
remove
nil
cons
1631
def
cons
461
ref
cons
nil
cons
cons
1632
def
108
ref
subst
proveHyp
1632
ref
57
ref
subst
1632
remove
129
ref
subst
nil
83
ref
1291
ref
nil
cons
cons
85
ref
1297
ref
nil
cons
1633
def
cons
nil
cons
cons
nil
cons
cons
1634
def
99
ref
subst
1634
remove
305
ref
subst
nil
83
ref
1294
ref
nil
cons
cons
85
ref
1296
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1635
def
99
ref
subst
1636
def
1635
remove
305
ref
subst
1637
def
nil
1426
remove
575
ref
cons
nil
cons
cons
1487
ref
subst
1296
remove
assume
eqMp
1638
def
nil
35
ref
419
ref
852
ref
15
ref
1286
ref
appTerm
1639
def
1570
ref
appTerm
1640
def
absTerm
1641
def
appTerm
1642
def
nil
cons
cons
1643
def
461
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
40
ref
1641
ref
853
ref
appTerm
1644
def
appTerm
1645
def
453
ref
appTerm
1646
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
1646
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1644
ref
nil
cons
1647
def
cons
1648
def
461
ref
cons
nil
cons
cons
1649
def
57
ref
subst
1649
remove
129
ref
subst
1644
ref
betaConv
1644
remove
assume
eqMp
1650
def
nil
35
ref
1640
ref
nil
cons
1651
def
cons
1652
def
461
ref
cons
nil
cons
cons
1653
def
108
ref
subst
proveHyp
1653
ref
57
ref
subst
1653
remove
129
ref
subst
39
ref
"_32198"
11
ref
var
1654
def
201
ref
444
ref
210
ref
1654
remove
varTerm
appTerm
602
ref
appTerm
appTerm
appTerm
absTerm
1655
def
1286
ref
appTerm
1656
def
appTerm
refl
1655
ref
1570
ref
appTerm
betaConv
appThm
87
ref
1656
remove
betaConv
appThm
1580
ref
refl
appThm
trans
1655
remove
refl
1640
remove
assume
1657
def
appThm
eqMp
1294
remove
assume
eqMp
1658
def
nil
35
ref
1580
ref
nil
cons
1659
def
cons
1660
def
461
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
39
ref
"_32355"
11
ref
var
1661
def
357
ref
444
ref
210
ref
1661
remove
varTerm
appTerm
26
ref
appTerm
appTerm
appTerm
181
ref
appTerm
absTerm
1662
def
1286
ref
appTerm
1663
def
appTerm
refl
1662
ref
1570
remove
appTerm
betaConv
appThm
87
ref
1663
remove
betaConv
appThm
1577
ref
refl
appThm
trans
1662
remove
refl
1657
remove
appThm
eqMp
1291
remove
assume
eqMp
nil
35
ref
1577
remove
nil
cons
cons
1664
def
36
ref
40
ref
1580
ref
appTerm
1665
def
453
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
996
ref
460
ref
cons
36
ref
1659
remove
cons
1664
remove
nil
cons
cons
cons
nil
cons
cons
996
ref
39
ref
42
ref
1003
ref
appTerm
appTerm
40
ref
48
ref
appTerm
997
ref
appTerm
appTerm
absTerm
1666
def
997
ref
appTerm
1667
def
betaConv
36
ref
315
ref
1666
ref
appTerm
1668
def
absTerm
1669
def
43
ref
appTerm
1670
def
betaConv
35
ref
315
ref
1669
ref
appTerm
1671
def
absTerm
1672
def
41
ref
appTerm
1673
def
betaConv
nil
315
ref
1672
ref
appTerm
1674
def
axiom
nil
35
ref
1674
remove
nil
cons
cons
36
ref
1673
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1672
remove
nil
cons
cons
886
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1671
remove
nil
cons
cons
36
ref
1670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1669
remove
nil
cons
cons
319
ref
79
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1668
remove
nil
cons
cons
36
ref
1667
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1666
remove
nil
cons
cons
319
ref
997
ref
nil
cons
1675
def
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
443
ref
40
ref
1578
remove
1580
remove
appTerm
appTerm
453
ref
appTerm
absTerm
1676
def
445
ref
appTerm
1677
def
betaConv
852
ref
155
ref
1676
ref
appTerm
1678
def
absTerm
1679
def
853
ref
appTerm
1680
def
betaConv
1681
def
468
ref
443
ref
286
ref
465
ref
1410
ref
626
ref
625
ref
589
ref
appThm
1682
def
nil
726
ref
nil
cons
nil
cons
cons
1683
def
1590
ref
subst
1684
def
appThm
appThm
appThm
1590
ref
appThm
appThm
1247
ref
626
ref
1682
remove
nil
728
ref
nil
cons
nil
cons
cons
1590
ref
subst
1685
def
appThm
appThm
appThm
1686
def
appThm
appThm
453
ref
refl
appThm
absThm
appThm
sym
nil
164
ref
443
ref
40
ref
1319
remove
201
ref
604
ref
appTerm
1687
def
appTerm
1688
def
appTerm
453
ref
appTerm
1689
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
1689
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1688
remove
nil
cons
1690
def
cons
461
remove
cons
nil
cons
cons
1691
def
57
ref
subst
1691
remove
129
ref
subst
nil
83
ref
458
remove
cons
1692
def
85
ref
1687
ref
nil
cons
1693
def
cons
nil
cons
cons
nil
cons
cons
1694
def
99
ref
subst
1694
remove
305
ref
subst
414
ref
nil
641
ref
145
ref
639
ref
cons
1695
def
nil
cons
cons
1696
def
nil
cons
cons
1697
def
222
ref
subst
1698
def
appThm
sym
414
ref
195
ref
203
ref
206
ref
448
ref
appTerm
451
ref
appTerm
1699
def
appTerm
207
ref
448
ref
appTerm
appTerm
absTerm
1700
def
refl
608
ref
175
ref
15
ref
616
remove
appTerm
1701
def
611
remove
appTerm
1702
def
absTerm
1703
def
181
ref
appTerm
1704
def
betaConv
468
ref
175
ref
1702
remove
assume
sym
617
remove
assume
sym
deductAntisym
absThm
appThm
621
remove
eqMp
nil
35
ref
155
ref
1703
ref
appTerm
nil
cons
cons
36
ref
1704
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1703
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1705
def
subst
1706
def
appThm
1707
def
appThm
sym
414
ref
1700
remove
604
ref
appTerm
betaConv
1708
def
228
ref
nil
70
ref
1693
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
1687
ref
assume
eqMp
1709
def
appThm
1699
ref
refl
appThm
186
ref
604
ref
appTerm
448
ref
appTerm
1710
def
refl
appThm
nil
326
ref
1710
ref
nil
cons
1711
def
cons
328
ref
1699
ref
nil
cons
1712
def
cons
nil
cons
cons
nil
cons
cons
350
ref
subst
trans
trans
1713
def
appThm
sym
414
ref
nil
641
ref
1695
remove
8
remove
cons
cons
nil
cons
cons
382
ref
subst
appThm
sym
414
ref
228
ref
1081
ref
appThm
194
remove
appThm
228
ref
1321
remove
appThm
387
ref
364
ref
448
ref
appTerm
appTerm
451
ref
appTerm
363
ref
448
ref
appTerm
451
ref
appTerm
1714
def
appTerm
1715
def
refl
appThm
391
remove
181
ref
appTerm
451
ref
appTerm
1714
remove
appTerm
1716
def
refl
appThm
nil
326
ref
1716
remove
nil
cons
cons
328
ref
1715
ref
nil
cons
1717
def
cons
nil
cons
cons
nil
cons
cons
350
ref
subst
trans
appThm
appThm
sym
87
ref
"_32359"
3
ref
var
1718
def
408
ref
1718
remove
varTerm
appTerm
absTerm
1719
def
199
ref
672
ref
appTerm
6
ref
appTerm
1715
ref
appTerm
appTerm
betaConv
appThm
465
ref
40
ref
672
ref
appTerm
1720
def
refl
1719
ref
6
ref
appTerm
betaConv
appThm
appThm
40
ref
1444
remove
appTerm
1721
def
refl
1719
ref
1715
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
3
ref
var
1722
def
1717
remove
cons
"_482"
3
ref
var
1723
def
7
ref
cons
"_483"
1
ref
var
1724
def
1055
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
31
ref
var
1725
def
1719
remove
nil
cons
cons
nil
cons
nil
cons
cons
330
ref
nil
124
ref
"_482"
116
ref
var
varTerm
nil
cons
cons
"c"
1
ref
var
1726
def
1724
ref
varTerm
nil
cons
cons
131
ref
"_484"
117
ref
var
varTerm
nil
cons
cons
"y"
116
ref
var
1727
def
"_485"
116
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
1727
ref
39
ref
132
ref
335
ref
1726
ref
varTerm
1728
def
appTerm
125
ref
appTerm
1727
ref
varTerm
1729
def
appTerm
appTerm
appTerm
46
ref
40
ref
1728
ref
appTerm
1036
ref
appTerm
appTerm
40
ref
230
ref
1728
ref
appTerm
appTerm
132
ref
1729
ref
appTerm
appTerm
appTerm
appTerm
absTerm
1730
def
1729
ref
appTerm
1731
def
betaConv
124
ref
119
ref
1730
ref
appTerm
1732
def
absTerm
1733
def
125
ref
appTerm
1734
def
betaConv
1726
remove
119
ref
1733
ref
appTerm
1735
def
absTerm
1736
def
1728
ref
appTerm
1737
def
betaConv
131
ref
315
ref
1736
ref
appTerm
1738
def
absTerm
1739
def
132
ref
appTerm
1740
def
betaConv
nil
1042
ref
1739
ref
appTerm
1741
def
axiom
nil
35
ref
1741
remove
nil
cons
cons
36
ref
1740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
1739
remove
nil
cons
cons
1048
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1738
remove
nil
cons
cons
36
ref
1737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1736
remove
nil
cons
cons
319
ref
1728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1735
remove
nil
cons
cons
36
ref
1734
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
1733
remove
nil
cons
cons
1105
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1732
remove
nil
cons
cons
36
ref
1731
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
1730
remove
nil
cons
cons
124
ref
1729
ref
nil
cons
cons
nil
cons
1742
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
1743
def
subst
1744
def
subst
eqMp
sym
nil
35
ref
1055
ref
cons
1745
def
36
ref
408
ref
6
ref
appTerm
1746
def
nil
cons
1747
def
cons
nil
cons
cons
nil
cons
cons
1748
def
57
ref
subst
1748
remove
129
ref
subst
nil
1746
ref
axiom
1749
def
eqMp
nil
83
ref
1055
remove
cons
1750
def
85
ref
1747
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
1720
remove
1746
ref
appTerm
nil
cons
cons
36
ref
1721
remove
408
ref
1715
remove
appTerm
appTerm
1751
def
nil
cons
cons
nil
cons
1752
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
1693
ref
cons
1753
def
1752
remove
cons
nil
cons
cons
108
ref
subst
nil
459
remove
36
ref
40
ref
1687
ref
appTerm
1754
def
1751
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
450
ref
refl
286
ref
1247
ref
623
remove
appThm
1755
def
appThm
1756
def
1751
ref
refl
appThm
appThm
sym
420
ref
445
ref
appTerm
1757
def
betaConv
423
ref
nil
424
ref
36
ref
1757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
425
ref
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
415
ref
672
ref
appTerm
419
ref
175
ref
671
ref
269
ref
appTerm
absTerm
1758
def
appTerm
1759
def
appTerm
nil
cons
1760
def
cons
36
ref
450
remove
40
ref
201
ref
703
ref
appTerm
1761
def
appTerm
1762
def
1751
remove
appTerm
appTerm
1763
def
nil
cons
1764
def
cons
nil
cons
1765
def
cons
nil
cons
cons
1766
def
108
ref
subst
proveHyp
1766
ref
57
ref
subst
1766
remove
129
ref
subst
nil
164
ref
426
ref
40
ref
1758
ref
427
ref
appTerm
1767
def
appTerm
1763
ref
appTerm
1768
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
426
ref
nil
70
ref
1768
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1767
ref
nil
cons
1769
def
cons
1765
ref
cons
nil
cons
cons
1770
def
57
ref
subst
1770
remove
129
ref
subst
1767
ref
betaConv
1767
remove
assume
eqMp
nil
35
ref
671
ref
428
ref
appTerm
1771
def
nil
cons
1772
def
cons
1765
ref
cons
nil
cons
cons
1773
def
108
ref
subst
proveHyp
1773
ref
57
ref
subst
1773
remove
129
ref
subst
39
ref
"_32365"
11
ref
var
1774
def
40
ref
357
ref
444
ref
210
ref
1774
remove
varTerm
1775
def
appTerm
26
ref
appTerm
appTerm
1776
def
appTerm
181
ref
appTerm
appTerm
40
ref
201
ref
210
ref
1776
ref
appTerm
444
ref
1775
ref
appTerm
1777
def
appTerm
appTerm
appTerm
40
ref
230
ref
15
ref
1775
remove
appTerm
25
ref
appTerm
appTerm
appTerm
408
ref
387
ref
364
ref
1776
ref
appTerm
appTerm
1777
ref
appTerm
363
ref
1776
remove
appTerm
1777
remove
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
1778
def
445
ref
appTerm
1779
def
appTerm
refl
1778
ref
428
ref
appTerm
betaConv
appThm
87
ref
1779
remove
betaConv
appThm
40
ref
357
ref
444
ref
210
ref
428
ref
appTerm
26
ref
appTerm
appTerm
1780
def
appTerm
181
ref
appTerm
appTerm
40
ref
201
ref
210
ref
1780
ref
appTerm
1214
ref
appTerm
appTerm
appTerm
40
ref
230
ref
15
ref
428
ref
appTerm
25
ref
appTerm
appTerm
appTerm
408
ref
387
ref
364
ref
1780
ref
appTerm
appTerm
1214
ref
appTerm
363
ref
1780
remove
appTerm
1214
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
1778
remove
refl
1771
remove
assume
appThm
eqMp
sym
286
ref
1410
ref
626
ref
nil
726
ref
1248
remove
cons
nil
cons
cons
765
ref
subst
262
ref
1255
remove
appThm
trans
appThm
1781
def
appThm
1590
ref
appThm
appThm
286
ref
1247
ref
625
ref
1781
ref
appThm
1214
ref
refl
1782
def
appThm
appThm
appThm
286
ref
238
ref
1219
ref
322
ref
subst
appThm
325
ref
trans
appThm
414
ref
387
ref
refl
1783
def
364
ref
refl
1784
def
1781
ref
appThm
appThm
1782
ref
appThm
363
ref
refl
1785
def
1781
remove
appThm
1782
ref
appThm
appThm
appThm
appThm
nil
70
ref
408
ref
387
ref
364
ref
444
ref
254
ref
428
remove
appTerm
appTerm
1786
def
appTerm
appTerm
1214
ref
appTerm
363
ref
1786
ref
appTerm
1214
ref
appTerm
1787
def
appTerm
appTerm
1788
def
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
appThm
sym
286
ref
nil
240
ref
1786
ref
nil
cons
cons
nil
cons
1789
def
nil
cons
cons
1487
ref
subst
appThm
40
ref
201
ref
210
ref
1786
ref
appTerm
1790
def
1214
ref
appTerm
1791
def
appTerm
appTerm
1788
remove
appTerm
1792
def
refl
appThm
sym
nil
164
ref
852
ref
40
ref
852
ref
231
ref
1790
remove
853
ref
appTerm
1793
def
appTerm
1794
def
absTerm
1795
def
853
ref
appTerm
1796
def
appTerm
1792
ref
appTerm
1797
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
1797
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1796
ref
nil
cons
1798
def
cons
36
ref
1792
ref
nil
cons
1799
def
cons
nil
cons
1800
def
cons
nil
cons
cons
1801
def
57
ref
subst
1801
remove
129
ref
subst
1796
ref
betaConv
1796
remove
assume
eqMp
nil
35
ref
1794
ref
nil
cons
1802
def
cons
1800
remove
cons
nil
cons
cons
1803
def
108
ref
subst
proveHyp
1803
ref
57
ref
subst
1803
remove
129
ref
subst
39
ref
"_32367"
11
ref
var
1804
def
40
ref
200
ref
1804
remove
varTerm
1805
def
appTerm
1791
ref
appTerm
appTerm
408
ref
387
ref
363
ref
1805
remove
appTerm
1786
ref
appTerm
appTerm
1214
ref
appTerm
1787
ref
appTerm
appTerm
appTerm
absTerm
1806
def
181
ref
appTerm
1807
def
appTerm
refl
1806
ref
1793
ref
appTerm
betaConv
appThm
87
ref
1807
remove
betaConv
appThm
40
ref
200
ref
1793
ref
appTerm
1791
remove
appTerm
appTerm
408
ref
387
ref
363
ref
1793
remove
appTerm
1786
remove
appTerm
appTerm
1214
ref
appTerm
1787
ref
appTerm
appTerm
appTerm
refl
appThm
trans
1806
remove
refl
1794
remove
assume
appThm
eqMp
sym
286
ref
nil
142
ref
1214
ref
nil
cons
1808
def
cons
863
ref
1789
remove
cons
1809
def
cons
nil
cons
cons
142
ref
39
ref
200
ref
577
ref
appTerm
643
ref
appTerm
appTerm
1324
ref
appTerm
absTerm
1810
def
150
ref
appTerm
1811
def
betaConv
175
ref
155
ref
1810
ref
appTerm
1812
def
absTerm
1813
def
181
ref
appTerm
1814
def
betaConv
240
ref
155
ref
1813
ref
appTerm
1815
def
absTerm
1816
def
242
ref
appTerm
1817
def
betaConv
nil
155
ref
1816
ref
appTerm
1818
def
axiom
nil
35
ref
1818
remove
nil
cons
cons
36
ref
1817
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1816
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1815
remove
nil
cons
cons
36
ref
1814
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1813
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1812
remove
nil
cons
cons
36
ref
1811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1810
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1819
def
subst
appThm
414
ref
1783
ref
nil
1809
remove
nil
cons
cons
175
ref
15
ref
363
ref
577
ref
appTerm
242
ref
appTerm
appTerm
181
ref
appTerm
absTerm
1820
def
181
ref
appTerm
1821
def
betaConv
240
ref
155
ref
1820
ref
appTerm
1822
def
absTerm
1823
def
242
ref
appTerm
1824
def
betaConv
nil
155
ref
1823
ref
appTerm
1825
def
axiom
nil
35
ref
1825
remove
nil
cons
cons
36
ref
1824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1823
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1822
remove
nil
cons
cons
36
ref
1821
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1820
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1826
def
subst
appThm
1782
ref
appThm
1787
remove
refl
appThm
appThm
appThm
sym
40
ref
200
ref
853
ref
appTerm
1827
def
1214
ref
appTerm
appTerm
refl
414
ref
387
ref
853
ref
appTerm
1828
def
1214
remove
appTerm
refl
1785
ref
nil
443
ref
1217
remove
cons
1829
def
nil
cons
nil
cons
cons
659
ref
subst
appThm
1782
remove
appThm
nil
175
ref
1245
ref
nil
cons
cons
240
ref
1808
remove
cons
nil
cons
cons
nil
cons
cons
1826
ref
subst
trans
appThm
appThm
appThm
sym
286
ref
1827
ref
refl
626
ref
1249
remove
634
ref
subst
appThm
1830
def
appThm
appThm
414
ref
1828
ref
refl
1830
remove
appThm
1245
ref
refl
appThm
appThm
appThm
sym
nil
35
ref
1827
ref
444
ref
210
ref
427
ref
appTerm
1831
def
26
ref
appTerm
appTerm
1832
def
appTerm
1833
def
nil
cons
1834
def
cons
36
ref
408
ref
1828
remove
1832
remove
appTerm
1245
remove
appTerm
appTerm
nil
cons
1835
def
cons
nil
cons
1836
def
cons
nil
cons
cons
1837
def
57
ref
subst
1837
remove
129
ref
subst
238
ref
nil
"t"
3
ref
var
1838
def
7
ref
cons
1839
def
"h"
1
ref
var
1840
def
519
ref
cons
1841
def
nil
cons
1842
def
cons
nil
cons
cons
1843
def
695
ref
"t"
0
remove
334
ref
opType
1844
def
var
1845
def
230
ref
"Data.List.null"
const
1846
def
10
ref
1844
ref
2
ref
cons
opType
1847
def
constTerm
1848
def
358
remove
10
ref
116
ref
10
ref
1844
ref
1844
ref
nil
cons
1849
def
cons
opType
nil
cons
1850
def
cons
opType
constTerm
1851
def
"h"
116
ref
var
1852
def
varTerm
1853
def
appTerm
1854
def
1845
ref
varTerm
1855
def
appTerm
1856
def
appTerm
1857
def
appTerm
1858
def
absTerm
1859
def
1855
ref
appTerm
1860
def
betaConv
1852
ref
30
ref
10
ref
1847
ref
2
ref
cons
opType
1861
def
constTerm
1862
def
1859
ref
appTerm
1863
def
absTerm
1864
def
1853
ref
appTerm
1865
def
betaConv
nil
119
ref
1864
ref
appTerm
1866
def
axiom
nil
35
ref
1866
remove
nil
cons
cons
36
ref
1865
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
1864
remove
nil
cons
cons
124
ref
1853
ref
nil
cons
cons
nil
cons
1867
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1863
remove
nil
cons
cons
36
ref
1860
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
1849
remove
cons
nil
cons
1868
def
"P"
1847
ref
var
1869
def
1859
remove
nil
cons
cons
"x"
1844
ref
var
1870
def
1855
ref
nil
cons
cons
nil
cons
1871
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1858
remove
nil
cons
cons
36
ref
39
ref
1857
ref
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
83
ref
1857
remove
nil
cons
cons
nil
cons
nil
cons
cons
321
ref
subst
eqMp
subst
1872
def
subst
appThm
325
ref
trans
sym
76
ref
eqMp
nil
35
ref
230
ref
1846
remove
31
ref
constTerm
1873
def
386
ref
appTerm
appTerm
1874
def
nil
cons
cons
36
ref
415
ref
46
ref
1833
ref
appTerm
408
ref
386
ref
appTerm
appTerm
1875
def
appTerm
46
ref
1827
ref
444
ref
1831
remove
602
ref
appTerm
appTerm
appTerm
appTerm
408
ref
360
ref
386
ref
appTerm
appTerm
appTerm
1876
def
appTerm
1877
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
465
ref
nil
70
ref
1834
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
1833
remove
assume
eqMp
appThm
1843
ref
1838
ref
39
ref
408
ref
359
ref
1840
ref
varTerm
1878
def
appTerm
1879
def
1838
ref
varTerm
1880
def
appTerm
1881
def
appTerm
1882
def
appTerm
196
ref
10
ref
1
ref
38
remove
nil
cons
cons
opType
constTerm
1883
def
1873
ref
1880
ref
appTerm
1884
def
appTerm
1878
ref
appTerm
46
ref
230
ref
46
ref
1878
ref
appTerm
1885
def
"Data.List.head"
const
1886
def
31
ref
constTerm
1887
def
1880
ref
appTerm
appTerm
appTerm
appTerm
408
ref
1880
ref
appTerm
1888
def
appTerm
appTerm
1889
def
appTerm
absTerm
1890
def
1880
ref
appTerm
1891
def
betaConv
1840
ref
33
ref
1890
ref
appTerm
1892
def
absTerm
1893
def
1878
ref
appTerm
1894
def
betaConv
nil
315
ref
1893
ref
appTerm
1895
def
axiom
nil
35
ref
1895
ref
nil
cons
cons
36
ref
1894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1893
remove
nil
cons
cons
319
ref
1878
ref
nil
cons
1896
def
cons
nil
cons
1897
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1892
remove
nil
cons
cons
36
ref
1891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
1890
remove
nil
cons
cons
113
ref
1880
ref
nil
cons
1898
def
cons
nil
cons
1899
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
1900
def
subst
1883
remove
refl
1901
def
695
ref
nil
70
ref
1848
ref
5
remove
1844
ref
constTerm
1902
def
appTerm
1903
def
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
1903
remove
axiom
eqMp
subst
1904
def
appThm
1905
def
94
ref
appThm
465
ref
238
ref
nil
70
ref
1887
ref
6
ref
appTerm
1906
def
nil
cons
cons
nil
cons
nil
cons
cons
711
ref
subst
appThm
appThm
nil
70
ref
1747
remove
cons
nil
cons
nil
cons
cons
1907
def
77
ref
subst
1749
remove
eqMp
1908
def
appThm
nil
70
ref
230
ref
1906
ref
appTerm
nil
cons
1909
def
cons
nil
cons
nil
cons
cons
1260
ref
subst
trans
appThm
nil
821
ref
1909
remove
cons
822
ref
519
ref
cons
nil
cons
1910
def
cons
nil
cons
cons
695
ref
349
ref
subst
1911
def
subst
trans
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
83
ref
1875
remove
nil
cons
cons
85
ref
1876
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1006
remove
sym
1912
def
nil
318
ref
70
ref
40
ref
309
remove
73
ref
appTerm
1913
def
appTerm
40
ref
992
remove
73
ref
appTerm
1914
def
appTerm
73
ref
appTerm
1915
def
appTerm
1916
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1917
def
70
ref
nil
70
ref
1916
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1918
def
nil
35
ref
1913
ref
nil
cons
1919
def
cons
36
ref
1915
remove
nil
cons
1920
def
cons
nil
cons
cons
nil
cons
cons
1921
def
57
ref
subst
1922
def
1921
remove
129
ref
subst
1923
def
nil
35
ref
1914
ref
nil
cons
1924
def
cons
36
ref
526
ref
cons
nil
cons
1925
def
cons
nil
cons
cons
1926
def
57
ref
subst
1927
def
1926
remove
129
ref
subst
1928
def
nil
283
remove
1925
ref
cons
nil
cons
cons
108
ref
subst
1913
remove
assume
eqMp
eqMp
nil
83
ref
1924
remove
cons
85
ref
526
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
1929
def
deductAntisym
eqMp
eqMp
nil
83
ref
1919
remove
cons
85
ref
1920
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
1930
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1931
def
subst
proveHyp
eqMp
nil
35
ref
46
ref
1874
remove
appTerm
1877
remove
appTerm
nil
cons
cons
1836
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1829
remove
863
ref
4
ref
386
ref
nil
cons
1932
def
cons
nil
cons
cons
cons
nil
cons
cons
286
ref
46
ref
230
ref
1873
ref
19
ref
appTerm
1933
def
appTerm
1934
def
appTerm
1935
def
refl
1936
def
415
ref
46
ref
1188
remove
appTerm
1937
def
408
ref
19
ref
appTerm
1938
def
appTerm
appTerm
1939
def
refl
465
ref
1755
remove
appThm
408
ref
361
ref
appTerm
1940
def
refl
1941
def
appThm
appThm
appThm
appThm
408
ref
355
ref
448
ref
appTerm
451
ref
appTerm
1942
def
appTerm
1943
def
refl
appThm
sym
4
ref
40
ref
1935
ref
1939
remove
46
ref
1761
ref
appTerm
1944
def
1940
ref
appTerm
appTerm
appTerm
appTerm
1943
remove
appTerm
absTerm
1945
def
19
ref
appTerm
1946
def
betaConv
1947
def
175
ref
33
ref
1945
ref
appTerm
1948
def
absTerm
1949
def
181
ref
appTerm
1950
def
betaConv
1951
def
443
ref
155
ref
1949
ref
appTerm
1952
def
absTerm
1953
def
445
ref
appTerm
1954
def
betaConv
1955
def
nil
164
ref
175
ref
33
ref
4
ref
40
ref
1935
ref
415
ref
46
ref
201
ref
444
ref
730
ref
26
ref
appTerm
1956
def
appTerm
1957
def
appTerm
1958
def
appTerm
1938
ref
appTerm
1959
def
appTerm
1960
def
46
ref
201
ref
210
ref
1957
ref
appTerm
1961
def
677
ref
appTerm
appTerm
1962
def
appTerm
1940
ref
appTerm
appTerm
appTerm
appTerm
1963
def
408
ref
355
ref
1957
ref
appTerm
677
ref
appTerm
1964
def
appTerm
appTerm
1965
def
absTerm
1966
def
appTerm
1967
def
absTerm
1968
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
1967
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
1966
remove
nil
cons
cons
nil
cons
nil
cons
cons
330
ref
412
ref
subst
1969
def
subst
4
ref
nil
70
ref
1965
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1963
remove
refl
414
ref
nil
142
ref
677
ref
nil
cons
cons
145
ref
1957
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
382
ref
subst
appThm
appThm
sym
286
ref
1936
ref
1960
ref
refl
465
ref
1247
ref
1961
ref
refl
680
ref
appThm
appThm
appThm
1941
ref
appThm
appThm
appThm
appThm
414
ref
228
ref
683
remove
appThm
19
ref
refl
1970
def
appThm
199
ref
357
ref
1957
ref
appTerm
181
ref
appTerm
1971
def
appTerm
1972
def
refl
362
ref
364
ref
1957
ref
appTerm
1973
def
appTerm
1974
def
refl
680
ref
appThm
363
ref
1957
ref
appTerm
1975
def
refl
680
ref
appThm
1976
def
appThm
appThm
369
ref
refl
680
ref
appThm
1976
remove
appThm
appThm
appThm
nil
326
ref
1972
remove
1974
remove
25
ref
appTerm
1975
ref
25
ref
appTerm
1977
def
appTerm
appTerm
369
ref
25
ref
appTerm
1977
remove
appTerm
appTerm
nil
cons
cons
328
ref
114
ref
cons
nil
cons
1978
def
cons
nil
cons
cons
350
remove
subst
trans
appThm
appThm
sym
nil
35
ref
1935
ref
1960
remove
46
ref
201
ref
1961
remove
25
ref
appTerm
appTerm
1979
def
appTerm
1940
ref
appTerm
1980
def
appTerm
1981
def
appTerm
nil
cons
1982
def
cons
36
ref
1938
ref
nil
cons
1983
def
cons
nil
cons
1984
def
cons
nil
cons
cons
1985
def
57
ref
subst
1985
remove
129
ref
subst
nil
83
ref
1934
remove
nil
cons
1986
def
cons
1987
def
85
ref
1981
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
nil
35
ref
1980
remove
nil
cons
1988
def
cons
1984
ref
cons
nil
cons
cons
1989
def
57
ref
subst
1989
remove
129
ref
subst
nil
83
ref
1979
remove
nil
cons
cons
85
ref
1940
ref
nil
cons
1990
def
cons
nil
cons
1991
def
cons
nil
cons
cons
305
ref
subst
1840
ref
408
ref
1879
ref
19
ref
appTerm
appTerm
absTerm
1992
def
62
ref
appTerm
betaConv
sym
1940
ref
assume
1993
def
eqMp
317
ref
318
ref
1992
ref
nil
cons
cons
319
ref
519
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
418
ref
65
remove
constTerm
1994
def
1992
remove
appTerm
nil
cons
cons
1984
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1838
ref
114
ref
cons
1995
def
nil
cons
nil
cons
cons
1838
ref
40
ref
1994
ref
1840
ref
1882
ref
absTerm
1996
def
appTerm
1997
def
appTerm
1998
def
1888
ref
appTerm
1999
def
absTerm
2000
def
1880
ref
appTerm
2001
def
betaConv
nil
318
ref
1840
ref
33
ref
1838
ref
40
ref
1882
ref
appTerm
2002
def
1888
ref
appTerm
2003
def
absTerm
2004
def
appTerm
2005
def
absTerm
2006
def
nil
cons
cons
2007
def
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
2005
remove
nil
cons
2008
def
cons
nil
cons
nil
cons
cons
77
ref
subst
40
ref
408
ref
1879
ref
6
ref
appTerm
2009
def
appTerm
2010
def
appTerm
2011
def
refl
1908
ref
appThm
nil
70
ref
2010
remove
nil
cons
cons
nil
cons
nil
cons
cons
70
ref
39
ref
877
remove
62
ref
appTerm
appTerm
62
ref
appTerm
absTerm
2012
def
73
ref
appTerm
2013
def
betaConv
nil
315
ref
2012
ref
appTerm
2014
def
axiom
nil
35
ref
2014
remove
nil
cons
cons
36
ref
2013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2012
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2015
def
subst
trans
sym
76
ref
eqMp
nil
35
ref
2011
ref
1746
ref
appTerm
2016
def
nil
cons
cons
36
ref
315
ref
"h'"
1
ref
var
2017
def
33
ref
1838
ref
40
ref
2003
ref
appTerm
40
ref
408
ref
1879
ref
359
ref
2017
ref
varTerm
2018
def
appTerm
2019
def
1880
ref
appTerm
2020
def
appTerm
appTerm
appTerm
408
ref
2020
ref
appTerm
2021
def
appTerm
2022
def
appTerm
2023
def
absTerm
2024
def
appTerm
2025
def
absTerm
2026
def
appTerm
2027
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
2026
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
2017
ref
nil
70
ref
2025
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
2024
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
2023
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2003
remove
nil
cons
2028
def
cons
36
ref
2022
remove
nil
cons
2029
def
cons
nil
cons
cons
nil
cons
cons
2030
def
57
ref
subst
2030
remove
129
ref
subst
286
ref
nil
1838
ref
2020
ref
nil
cons
cons
nil
cons
nil
cons
cons
1900
ref
subst
appThm
2021
ref
refl
2031
def
appThm
sym
286
ref
1901
ref
nil
1840
ref
2018
ref
nil
cons
2032
def
cons
2033
def
nil
cons
2034
def
nil
cons
cons
1872
ref
subst
appThm
1878
ref
refl
2035
def
appThm
46
ref
230
ref
1885
ref
1887
ref
2020
ref
appTerm
appTerm
appTerm
2036
def
appTerm
2021
ref
appTerm
2037
def
refl
appThm
nil
821
ref
2037
remove
nil
cons
2038
def
cons
822
ref
1896
ref
cons
nil
cons
2039
def
cons
nil
cons
cons
695
ref
331
remove
333
ref
335
remove
277
ref
appTerm
337
ref
appTerm
338
ref
appTerm
appTerm
338
ref
appTerm
absTerm
2040
def
338
remove
appTerm
2041
def
betaConv
336
remove
119
ref
2040
ref
appTerm
2042
def
absTerm
2043
def
337
remove
appTerm
2044
def
betaConv
nil
119
ref
2043
ref
appTerm
2045
def
axiom
nil
35
ref
2045
remove
nil
cons
cons
36
ref
2044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
2043
remove
nil
cons
cons
347
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2042
remove
nil
cons
cons
36
ref
2041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
2040
remove
nil
cons
cons
348
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2046
def
subst
2047
def
subst
trans
appThm
2031
remove
appThm
sym
nil
35
ref
2038
ref
cons
36
ref
2021
remove
nil
cons
2048
def
cons
nil
cons
cons
nil
cons
cons
2049
def
57
ref
subst
2049
remove
129
ref
subst
nil
83
ref
2036
remove
nil
cons
cons
85
ref
2048
remove
cons
nil
cons
2050
def
cons
nil
cons
cons
305
ref
subst
eqMp
nil
83
ref
2038
remove
cons
2050
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2028
remove
cons
85
ref
2029
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
2016
remove
appTerm
2027
remove
appTerm
nil
cons
cons
36
ref
2008
ref
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
2004
ref
6
ref
appTerm
betaConv
appThm
1387
ref
2017
ref
33
ref
refl
2051
def
1838
ref
286
ref
2004
ref
1880
ref
appTerm
2052
def
betaConv
2053
def
appThm
2004
ref
2020
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
1838
ref
2053
ref
absThm
appThm
appThm
nil
"p"
31
remove
var
2054
def
2004
remove
nil
cons
2055
def
cons
nil
cons
nil
cons
cons
695
ref
"p"
1847
ref
var
2056
def
40
ref
46
ref
2056
remove
varTerm
2057
def
1902
ref
appTerm
appTerm
119
ref
1852
ref
1862
ref
1845
ref
40
ref
2057
ref
1855
ref
appTerm
appTerm
2057
ref
1856
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
appTerm
1862
ref
"l"
1844
ref
var
2058
def
2057
ref
2058
ref
varTerm
2059
def
appTerm
absTerm
appTerm
appTerm
absTerm
2060
def
2057
ref
appTerm
2061
def
betaConv
nil
30
ref
10
ref
1861
ref
2
ref
cons
opType
constTerm
2060
ref
appTerm
2062
def
axiom
nil
35
ref
2062
remove
nil
cons
cons
36
ref
2061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
1847
ref
nil
cons
2063
def
cons
nil
cons
"P"
1861
remove
var
2060
remove
nil
cons
cons
"x"
1847
remove
var
2057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2064
def
subst
eqMp
eqMp
eqMp
absThm
eqMp
2065
def
nil
35
ref
315
ref
2006
ref
appTerm
2066
def
nil
cons
2067
def
cons
2068
def
36
ref
33
ref
2000
ref
appTerm
nil
cons
2069
def
cons
nil
cons
cons
nil
cons
cons
2070
def
108
ref
subst
proveHyp
2070
ref
57
ref
subst
2070
remove
129
ref
subst
nil
112
ref
2000
remove
nil
cons
cons
2071
def
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
1999
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1997
remove
nil
cons
2072
def
cons
2073
def
36
ref
1888
ref
nil
cons
2074
def
cons
nil
cons
2075
def
cons
nil
cons
cons
2076
def
57
ref
subst
2076
remove
129
ref
subst
nil
2068
ref
2075
ref
cons
nil
cons
cons
2077
def
108
ref
subst
nil
2073
remove
36
ref
40
ref
2066
ref
appTerm
1888
ref
appTerm
2078
def
nil
cons
2079
def
cons
nil
cons
2080
def
cons
nil
cons
cons
108
ref
subst
nil
318
ref
1840
ref
40
ref
1996
ref
1878
ref
appTerm
2081
def
appTerm
2078
ref
appTerm
2082
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
2082
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2081
ref
nil
cons
2083
def
cons
2080
ref
cons
nil
cons
cons
2084
def
57
ref
subst
2084
remove
129
ref
subst
2081
ref
betaConv
2081
remove
assume
eqMp
nil
35
ref
1882
ref
nil
cons
2085
def
cons
2086
def
2080
remove
cons
nil
cons
cons
2087
def
108
ref
subst
proveHyp
2087
ref
57
ref
subst
2087
remove
129
ref
subst
2077
ref
57
ref
subst
2077
remove
129
ref
subst
nil
2086
ref
2075
remove
cons
nil
cons
cons
108
ref
subst
2053
remove
2006
remove
1878
ref
appTerm
2088
def
betaConv
nil
2068
remove
36
ref
2088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
317
ref
2007
remove
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2008
remove
cons
36
ref
2052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
2055
remove
cons
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2067
remove
cons
2089
def
85
ref
2074
remove
cons
nil
cons
2090
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
2085
ref
cons
2091
def
85
ref
2079
remove
cons
nil
cons
2092
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2083
remove
cons
2092
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
315
ref
319
ref
40
ref
1996
ref
319
ref
varTerm
2093
def
appTerm
appTerm
2078
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
1998
remove
2078
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
1996
remove
nil
cons
cons
2092
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2072
remove
cons
2090
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
2089
remove
85
ref
2069
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
2069
remove
cons
36
ref
2001
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
2071
remove
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
proveHyp
eqMp
nil
83
ref
1988
ref
cons
85
ref
1983
ref
cons
nil
cons
2094
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
1959
remove
nil
cons
2095
def
cons
1984
ref
cons
nil
cons
cons
2096
def
57
ref
subst
2096
remove
129
ref
subst
nil
83
ref
1958
remove
nil
cons
cons
2094
ref
cons
nil
cons
cons
305
ref
subst
eqMp
nil
83
ref
2095
remove
cons
2097
def
2094
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2097
remove
85
ref
1988
remove
cons
991
ref
1983
ref
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
1982
remove
cons
2094
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
1968
remove
appTerm
2098
def
nil
cons
cons
36
ref
155
ref
443
ref
40
ref
1952
ref
appTerm
155
ref
175
ref
33
ref
4
ref
40
ref
1935
ref
415
ref
46
ref
201
ref
444
ref
210
ref
544
ref
appTerm
2099
def
26
ref
appTerm
2100
def
appTerm
2101
def
appTerm
appTerm
1938
ref
appTerm
appTerm
46
ref
201
ref
210
ref
2101
ref
appTerm
597
ref
appTerm
appTerm
2102
def
appTerm
1940
ref
appTerm
appTerm
appTerm
appTerm
408
ref
355
ref
2101
ref
appTerm
597
ref
appTerm
2103
def
appTerm
appTerm
2104
def
absTerm
2105
def
appTerm
2106
def
absTerm
2107
def
appTerm
2108
def
appTerm
2109
def
absTerm
2110
def
appTerm
2111
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
2110
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
2109
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1952
remove
nil
cons
2112
def
cons
2113
def
36
ref
2108
remove
nil
cons
2114
def
cons
nil
cons
cons
nil
cons
cons
2115
def
57
ref
subst
2115
remove
129
ref
subst
nil
164
ref
2107
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
2106
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
2105
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
2104
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
1936
ref
837
ref
465
ref
1247
ref
626
ref
nil
240
ref
669
ref
cons
nil
cons
2116
def
nil
cons
cons
2117
def
1254
remove
subst
2118
def
appThm
2119
def
659
ref
trans
2120
def
appThm
appThm
1938
ref
refl
2121
def
appThm
appThm
465
ref
1247
ref
625
ref
2120
ref
appThm
597
ref
refl
2122
def
appThm
appThm
2123
def
appThm
1941
ref
appThm
appThm
appThm
appThm
414
ref
355
ref
refl
2124
def
2120
ref
appThm
2122
ref
appThm
2125
def
appThm
appThm
sym
286
ref
1936
remove
837
ref
465
ref
1247
ref
638
ref
appThm
appThm
2121
ref
appThm
appThm
465
ref
1247
ref
625
ref
638
ref
appThm
636
ref
appThm
appThm
2126
def
appThm
1941
remove
appThm
appThm
appThm
appThm
414
ref
2124
ref
638
ref
appThm
636
ref
appThm
2127
def
appThm
appThm
sym
40
ref
1935
ref
415
ref
1944
ref
1938
ref
appTerm
2128
def
appTerm
46
ref
201
ref
210
ref
703
ref
appTerm
2129
def
448
ref
appTerm
2130
def
appTerm
2131
def
appTerm
1940
ref
appTerm
2132
def
appTerm
2133
def
appTerm
2134
def
appTerm
2135
def
refl
2136
def
414
ref
nil
142
ref
639
remove
cons
2137
def
145
ref
703
ref
nil
cons
2138
def
cons
nil
cons
cons
nil
cons
cons
382
ref
subst
2139
def
appThm
appThm
sym
nil
443
ref
1372
ref
cons
nil
cons
nil
cons
cons
2140
def
1081
ref
subst
239
ref
1586
ref
appThm
268
ref
appThm
1082
remove
trans
trans
2141
def
39
ref
"_32327"
1
ref
var
2142
def
2135
ref
408
ref
199
ref
2142
remove
varTerm
appTerm
19
ref
appTerm
199
ref
357
ref
703
ref
appTerm
181
ref
appTerm
2143
def
appTerm
2144
def
362
ref
364
remove
703
ref
appTerm
2145
def
appTerm
448
ref
appTerm
2146
def
363
ref
703
ref
appTerm
448
ref
appTerm
2147
def
appTerm
2148
def
appTerm
369
remove
448
ref
appTerm
2149
def
2147
remove
appTerm
2150
def
appTerm
2151
def
appTerm
appTerm
appTerm
absTerm
2152
def
697
ref
appTerm
2153
def
appTerm
refl
2152
ref
277
ref
appTerm
betaConv
appThm
87
ref
2153
remove
betaConv
appThm
2135
remove
408
ref
199
ref
277
ref
appTerm
19
ref
appTerm
2151
ref
appTerm
2154
def
appTerm
appTerm
refl
appThm
trans
2152
remove
refl
698
remove
277
ref
appTerm
assume
2155
def
appThm
eqMp
sym
2136
ref
414
ref
nil
326
ref
2151
ref
nil
cons
cons
1978
remove
cons
nil
cons
cons
330
ref
2046
ref
subst
2156
def
subst
2157
def
appThm
appThm
sym
2136
remove
414
ref
2144
ref
refl
2146
ref
refl
717
ref
1826
ref
subst
2158
def
appThm
2159
def
appThm
2149
ref
refl
2158
remove
appThm
2160
def
appThm
appThm
appThm
sym
nil
35
ref
2134
remove
nil
cons
2161
def
cons
36
ref
408
ref
2144
remove
2146
remove
451
ref
appTerm
2162
def
appTerm
2149
remove
451
ref
appTerm
2163
def
appTerm
2164
def
appTerm
nil
cons
2165
def
cons
nil
cons
2166
def
cons
nil
cons
cons
2167
def
57
ref
subst
2167
remove
129
ref
subst
nil
1987
remove
85
ref
2133
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2168
def
99
ref
subst
2168
remove
305
ref
subst
nil
35
ref
2132
remove
nil
cons
2169
def
cons
2166
ref
cons
nil
cons
cons
2170
def
57
ref
subst
2170
remove
129
ref
subst
nil
83
ref
2131
ref
nil
cons
2171
def
cons
2172
def
1991
remove
cons
nil
cons
cons
2173
def
99
ref
subst
2173
remove
305
ref
subst
87
ref
"_32329"
3
ref
var
2174
def
408
ref
2174
remove
varTerm
appTerm
absTerm
2175
def
2164
remove
appTerm
betaConv
appThm
465
ref
40
ref
2143
ref
appTerm
2176
def
refl
2177
def
2175
ref
2162
ref
appTerm
betaConv
appThm
appThm
40
ref
230
ref
2143
ref
appTerm
2178
def
appTerm
2179
def
refl
2180
def
2175
remove
2163
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1722
ref
2163
ref
nil
cons
2181
def
cons
1723
ref
2162
ref
nil
cons
2182
def
cons
1724
ref
2143
ref
nil
cons
2183
def
cons
nil
cons
2184
def
cons
cons
nil
cons
cons
1744
ref
subst
eqMp
sym
nil
35
ref
2183
ref
cons
2185
def
36
ref
408
ref
2162
ref
appTerm
2186
def
nil
cons
2187
def
cons
nil
cons
2188
def
cons
nil
cons
cons
2189
def
57
ref
subst
2189
remove
129
ref
subst
238
ref
nil
1995
ref
1842
ref
cons
nil
cons
cons
2190
def
1872
ref
subst
appThm
325
ref
trans
sym
76
ref
eqMp
nil
35
ref
230
ref
1873
ref
361
ref
appTerm
appTerm
2191
def
nil
cons
cons
36
ref
415
ref
46
ref
200
ref
2145
ref
appTerm
2192
def
448
ref
appTerm
2193
def
appTerm
1940
remove
appTerm
2194
def
appTerm
46
ref
2192
remove
703
ref
appTerm
2195
def
appTerm
408
ref
360
ref
361
ref
appTerm
appTerm
appTerm
2196
def
appTerm
2197
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
240
ref
2138
ref
cons
nil
cons
2198
def
nil
cons
cons
2199
def
1487
remove
subst
2143
ref
assume
eqMp
2200
def
nil
35
ref
419
ref
852
ref
231
ref
2129
ref
853
ref
appTerm
2201
def
appTerm
2202
def
absTerm
2203
def
appTerm
2204
def
nil
cons
cons
2205
def
36
ref
2193
ref
nil
cons
2206
def
cons
nil
cons
2207
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
40
ref
2203
ref
853
ref
appTerm
2208
def
appTerm
2209
def
2193
ref
appTerm
2210
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
2210
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2208
ref
nil
cons
2211
def
cons
2212
def
2207
ref
cons
nil
cons
cons
2213
def
57
ref
subst
2213
remove
129
ref
subst
2208
ref
betaConv
2208
remove
assume
eqMp
2214
def
nil
35
ref
2202
ref
nil
cons
2215
def
cons
2216
def
2207
remove
cons
nil
cons
cons
2217
def
108
ref
subst
proveHyp
2217
ref
57
ref
subst
2217
remove
129
ref
subst
39
ref
"_32335"
11
ref
var
2218
def
200
ref
363
ref
2218
remove
varTerm
appTerm
703
ref
appTerm
appTerm
448
ref
appTerm
absTerm
2219
def
181
ref
appTerm
2220
def
appTerm
refl
2219
ref
2201
ref
appTerm
betaConv
appThm
87
ref
2220
remove
betaConv
appThm
200
ref
363
ref
2201
ref
appTerm
703
ref
appTerm
2221
def
appTerm
2222
def
448
ref
appTerm
refl
appThm
trans
2219
remove
refl
2202
remove
assume
2223
def
appThm
eqMp
sym
200
ref
refl
2224
def
nil
863
ref
2198
remove
cons
2225
def
nil
cons
cons
1826
remove
subst
2226
def
appThm
2227
def
448
ref
refl
2228
def
appThm
sym
39
ref
"_32339"
11
ref
var
2229
def
200
ref
2229
remove
varTerm
appTerm
2130
ref
appTerm
absTerm
2230
def
181
ref
appTerm
2231
def
appTerm
refl
2230
ref
2201
ref
appTerm
betaConv
appThm
87
ref
2231
remove
betaConv
appThm
200
ref
2201
ref
appTerm
2130
ref
appTerm
2232
def
refl
appThm
trans
2230
remove
refl
2223
ref
appThm
eqMp
2131
ref
assume
eqMp
nil
35
ref
2232
ref
nil
cons
cons
36
ref
1827
ref
448
ref
appTerm
2233
def
nil
cons
2234
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
nil
2137
remove
2225
remove
cons
nil
cons
cons
1819
remove
subst
appThm
2235
def
2233
ref
refl
appThm
nil
70
ref
2234
ref
cons
nil
cons
nil
cons
cons
2236
def
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2215
remove
cons
2237
def
85
ref
2206
ref
cons
nil
cons
2238
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2211
remove
cons
2239
def
2238
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2203
ref
1157
ref
appTerm
appTerm
2240
def
2193
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
2204
remove
appTerm
2241
def
2193
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2203
remove
nil
cons
cons
2242
def
2238
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
nil
35
ref
2206
remove
cons
36
ref
1990
ref
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1993
remove
eqMp
nil
83
ref
2194
remove
nil
cons
cons
85
ref
2196
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1931
remove
subst
proveHyp
eqMp
nil
35
ref
46
ref
2191
remove
appTerm
2197
remove
appTerm
nil
cons
cons
2188
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
175
ref
2145
ref
nil
cons
2243
def
cons
4
ref
361
ref
nil
cons
2244
def
cons
nil
cons
cons
nil
cons
cons
1947
remove
1951
remove
nil
2113
remove
36
ref
1950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
2245
def
163
ref
164
ref
1949
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
2246
def
eqMp
eqMp
nil
35
ref
1948
remove
nil
cons
cons
36
ref
1946
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
2247
def
proveHyp
111
ref
112
ref
1945
remove
nil
cons
cons
115
ref
cons
nil
cons
cons
140
ref
subst
2248
def
eqMp
eqMp
2249
def
subst
eqMp
eqMp
nil
83
ref
2183
remove
cons
2250
def
85
ref
2187
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2176
ref
2186
remove
appTerm
nil
cons
cons
36
ref
2179
ref
408
ref
2163
ref
appTerm
2251
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
2178
remove
nil
cons
2252
def
cons
2253
def
36
ref
2251
remove
nil
cons
2254
def
cons
nil
cons
2255
def
cons
nil
cons
cons
2256
def
57
ref
subst
2256
remove
129
ref
subst
238
ref
nil
1995
ref
1840
ref
284
ref
cons
2257
def
nil
cons
2258
def
cons
nil
cons
cons
2259
def
1872
ref
subst
2260
def
appThm
325
ref
trans
2261
def
sym
76
ref
eqMp
nil
35
ref
230
ref
1873
ref
367
ref
appTerm
appTerm
2262
def
nil
cons
cons
36
ref
415
ref
1937
remove
408
ref
367
ref
appTerm
appTerm
2263
def
appTerm
2264
def
1944
ref
408
ref
360
ref
367
ref
appTerm
appTerm
2265
def
appTerm
2266
def
appTerm
2267
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
465
ref
2199
remove
175
ref
39
ref
839
remove
appTerm
838
remove
appTerm
2268
def
absTerm
2269
def
181
ref
appTerm
2270
def
betaConv
240
ref
155
ref
2269
ref
appTerm
2271
def
absTerm
2272
def
242
ref
appTerm
2273
def
betaConv
468
ref
240
ref
468
ref
175
ref
2268
remove
assume
sym
840
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
847
remove
eqMp
nil
35
ref
155
ref
2272
ref
appTerm
nil
cons
cons
36
ref
2273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2272
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2271
remove
nil
cons
cons
36
ref
2270
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2269
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
238
ref
nil
2253
ref
36
ref
39
ref
2143
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
2250
ref
nil
cons
nil
cons
cons
321
ref
subst
eqMp
appThm
325
ref
trans
trans
2274
def
appThm
2265
ref
refl
2275
def
appThm
nil
70
ref
2265
ref
nil
cons
2276
def
cons
nil
cons
nil
cons
cons
711
ref
subst
2277
def
trans
sym
nil
35
ref
1990
remove
cons
36
ref
2276
ref
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
286
ref
2190
remove
1900
ref
subst
1901
ref
nil
35
ref
1986
remove
cons
36
ref
39
ref
1933
ref
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
83
ref
1933
remove
nil
cons
cons
nil
cons
nil
cons
cons
321
ref
subst
eqMp
appThm
2278
def
94
ref
appThm
465
ref
238
ref
nil
70
ref
1887
ref
19
ref
appTerm
2279
def
nil
cons
cons
nil
cons
nil
cons
cons
2280
def
711
ref
subst
appThm
appThm
2121
ref
appThm
appThm
nil
821
ref
46
ref
230
ref
2279
remove
appTerm
2281
def
appTerm
1938
ref
appTerm
nil
cons
2282
def
cons
1910
ref
cons
nil
cons
cons
2047
ref
subst
trans
trans
appThm
nil
1838
ref
367
ref
nil
cons
2283
def
cons
1842
ref
cons
nil
cons
cons
1900
ref
subst
2284
def
1901
ref
2260
remove
appThm
94
remove
appThm
2285
def
465
ref
238
ref
nil
70
ref
1887
ref
367
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
711
ref
subst
2259
ref
695
ref
1845
ref
333
ref
1886
remove
10
ref
1844
ref
334
ref
cons
opType
constTerm
1856
ref
appTerm
appTerm
1853
ref
appTerm
absTerm
2286
def
1855
ref
appTerm
2287
def
betaConv
1852
ref
1862
ref
2286
ref
appTerm
2288
def
absTerm
2289
def
1853
ref
appTerm
2290
def
betaConv
nil
119
ref
2289
ref
appTerm
2291
def
axiom
nil
35
ref
2291
remove
nil
cons
cons
36
ref
2290
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
2289
remove
nil
cons
cons
1867
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2288
remove
nil
cons
cons
36
ref
2287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
2286
remove
nil
cons
cons
1871
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2292
def
subst
trans
appThm
325
ref
trans
appThm
2293
def
2259
remove
1900
ref
subst
2294
def
2278
remove
277
ref
refl
appThm
2295
def
465
ref
238
ref
2280
remove
975
ref
subst
appThm
325
ref
trans
appThm
2296
def
2121
remove
appThm
nil
70
ref
1983
ref
cons
nil
cons
nil
cons
cons
2297
def
711
ref
subst
2298
def
trans
appThm
nil
821
ref
1983
ref
cons
2299
def
822
ref
284
ref
cons
nil
cons
2300
def
cons
nil
cons
cons
2047
ref
subst
trans
trans
appThm
2298
remove
trans
appThm
nil
2299
remove
1910
ref
cons
nil
cons
cons
2047
ref
subst
trans
trans
appThm
sym
nil
35
ref
2282
ref
cons
1984
ref
cons
nil
cons
cons
2301
def
57
ref
subst
2301
remove
129
ref
subst
nil
83
ref
2281
remove
nil
cons
cons
2094
ref
cons
nil
cons
cons
305
ref
subst
eqMp
nil
83
ref
2282
remove
cons
2094
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2263
remove
nil
cons
cons
2302
def
85
ref
2266
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1912
remove
1917
remove
70
ref
1918
remove
1922
remove
1923
remove
1927
remove
1928
remove
nil
35
ref
1097
remove
cons
1925
remove
cons
nil
cons
cons
108
ref
subst
1914
remove
assume
eqMp
eqMp
1929
remove
deductAntisym
eqMp
eqMp
1930
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
2303
def
subst
proveHyp
eqMp
nil
35
ref
46
ref
2262
remove
appTerm
2267
remove
appTerm
nil
cons
cons
2255
remove
cons
nil
cons
cons
108
ref
subst
2304
def
proveHyp
nil
4
ref
2283
ref
cons
nil
cons
nil
cons
cons
2249
remove
subst
2305
def
eqMp
eqMp
nil
83
ref
2252
remove
cons
2306
def
85
ref
2254
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
2169
ref
cons
85
ref
2165
ref
cons
nil
cons
2307
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2128
remove
nil
cons
2308
def
cons
2166
remove
cons
nil
cons
cons
2309
def
57
ref
subst
2309
remove
129
ref
subst
nil
83
ref
1761
ref
nil
cons
2310
def
cons
2094
ref
cons
nil
cons
cons
2311
def
99
ref
subst
2311
remove
305
ref
subst
414
ref
228
ref
nil
486
remove
175
ref
2138
ref
cons
2312
def
nil
cons
cons
nil
cons
cons
175
ref
39
ref
811
remove
appTerm
1227
remove
appTerm
2313
def
absTerm
2314
def
181
ref
appTerm
2315
def
betaConv
240
ref
155
ref
2314
ref
appTerm
2316
def
absTerm
2317
def
242
ref
appTerm
2318
def
betaConv
468
ref
240
ref
468
ref
175
ref
2313
remove
assume
sym
1228
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1235
remove
eqMp
nil
35
ref
155
ref
2317
ref
appTerm
nil
cons
cons
36
ref
2318
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2317
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2316
remove
nil
cons
cons
36
ref
2315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2314
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2319
def
subst
238
ref
nil
70
ref
2310
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
1761
remove
assume
eqMp
2320
def
appThm
969
ref
trans
trans
appThm
2162
ref
refl
appThm
2163
ref
refl
appThm
nil
326
ref
2181
remove
cons
328
ref
2182
remove
cons
nil
cons
cons
nil
cons
cons
2156
remove
subst
trans
appThm
sym
465
ref
2261
remove
appThm
2264
ref
refl
465
ref
2320
remove
appThm
2275
remove
appThm
2277
remove
trans
appThm
appThm
nil
70
ref
2264
remove
2265
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
711
ref
subst
trans
sym
2284
remove
2285
remove
2293
remove
2294
remove
2295
remove
2296
remove
2297
remove
77
ref
subst
1938
ref
assume
eqMp
2321
def
appThm
782
ref
trans
appThm
nil
821
ref
519
ref
cons
2322
def
2300
remove
cons
nil
cons
cons
2047
ref
subst
trans
trans
appThm
782
ref
trans
appThm
nil
2322
remove
1910
remove
cons
nil
cons
cons
2047
ref
subst
trans
trans
sym
76
ref
eqMp
nil
2302
remove
85
ref
2276
remove
cons
nil
cons
cons
nil
cons
cons
2303
remove
subst
proveHyp
eqMp
2304
remove
proveHyp
2305
remove
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
2308
remove
cons
2323
def
2307
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2323
remove
85
ref
2169
remove
cons
991
ref
2165
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
2161
remove
cons
2307
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
2112
remove
cons
85
ref
2114
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
2098
remove
appTerm
2111
remove
appTerm
nil
cons
cons
36
ref
155
ref
1953
ref
appTerm
nil
cons
2324
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
1953
ref
25
ref
appTerm
betaConv
appThm
468
ref
443
ref
286
ref
1955
ref
appThm
1953
ref
544
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
443
ref
1955
remove
absThm
appThm
appThm
nil
471
ref
1953
remove
nil
cons
2325
def
cons
nil
cons
nil
cons
cons
778
ref
subst
eqMp
eqMp
nil
35
ref
2324
remove
cons
36
ref
1954
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2325
remove
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2245
remove
proveHyp
2246
remove
eqMp
eqMp
2247
remove
proveHyp
2248
remove
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
83
ref
1834
remove
cons
85
ref
1835
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1802
remove
cons
85
ref
1799
remove
cons
nil
cons
2326
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1798
remove
cons
2326
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1795
ref
1157
ref
appTerm
appTerm
1792
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
419
ref
1795
ref
appTerm
appTerm
1792
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1795
remove
nil
cons
cons
2326
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1772
remove
cons
85
ref
1764
ref
cons
nil
cons
2327
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1769
remove
cons
2327
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1758
ref
1157
ref
appTerm
appTerm
1763
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1759
ref
appTerm
1763
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1758
remove
nil
cons
cons
2327
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
nil
1745
remove
1765
remove
cons
nil
cons
cons
2328
def
57
ref
subst
2328
remove
129
ref
subst
286
ref
1410
ref
626
ref
625
ref
672
remove
assume
2329
def
appThm
1684
ref
appThm
appThm
2330
def
appThm
1590
ref
appThm
appThm
286
ref
1247
ref
625
ref
2330
ref
appThm
626
ref
2329
ref
appThm
2331
def
appThm
appThm
appThm
286
ref
238
ref
239
ref
2329
remove
appThm
268
ref
appThm
682
ref
trans
appThm
969
ref
trans
appThm
414
ref
1783
remove
1784
remove
2330
ref
appThm
appThm
2331
ref
appThm
1785
remove
2330
remove
appThm
2331
remove
appThm
appThm
appThm
appThm
nil
70
ref
408
ref
387
remove
1973
remove
appTerm
677
ref
appTerm
1975
remove
677
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1281
ref
subst
trans
appThm
nil
70
ref
1962
ref
nil
cons
cons
nil
cons
nil
cons
cons
2015
ref
subst
trans
appThm
nil
70
ref
1971
ref
nil
cons
cons
nil
cons
nil
cons
cons
2015
ref
subst
trans
sym
76
ref
eqMp
eqMp
nil
1750
ref
2327
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
1750
remove
85
ref
1759
remove
nil
cons
cons
991
ref
1764
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
1760
remove
cons
2327
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
1690
remove
cons
85
ref
460
remove
cons
nil
cons
2332
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
155
ref
443
ref
40
ref
46
ref
357
ref
444
ref
210
ref
446
ref
25
ref
appTerm
appTerm
2333
def
26
ref
appTerm
appTerm
appTerm
181
ref
appTerm
appTerm
201
ref
444
ref
2333
remove
602
ref
appTerm
appTerm
appTerm
2334
def
appTerm
appTerm
453
ref
appTerm
absTerm
appTerm
2335
def
nil
cons
cons
36
ref
155
ref
852
ref
40
ref
1678
ref
appTerm
155
ref
443
ref
40
ref
46
ref
357
ref
444
ref
210
ref
446
ref
854
ref
appTerm
appTerm
2336
def
26
ref
appTerm
appTerm
appTerm
181
ref
appTerm
appTerm
201
ref
444
ref
2336
remove
602
ref
appTerm
appTerm
appTerm
2337
def
appTerm
appTerm
453
ref
appTerm
absTerm
appTerm
appTerm
2338
def
absTerm
2339
def
appTerm
2340
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
2339
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
2338
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
468
ref
443
ref
286
ref
1598
remove
1600
remove
appThm
appThm
414
ref
186
ref
refl
2341
def
626
ref
1586
ref
appThm
2342
def
appThm
637
ref
appThm
appThm
2343
def
appThm
absThm
appThm
appThm
468
ref
443
ref
286
ref
465
ref
1410
ref
626
ref
625
ref
1587
remove
587
ref
subst
appThm
2344
def
266
ref
appThm
1596
remove
trans
appThm
appThm
1590
ref
appThm
appThm
1247
ref
626
ref
2344
ref
572
ref
appThm
nil
175
ref
254
ref
327
ref
appTerm
2345
def
nil
cons
2346
def
cons
2347
def
1592
ref
cons
nil
cons
cons
765
ref
subst
262
ref
1599
remove
appThm
trans
trans
appThm
appThm
appThm
appThm
2343
remove
appThm
absThm
appThm
appThm
sym
nil
35
ref
155
ref
443
ref
40
ref
1619
remove
appTerm
408
ref
186
ref
597
ref
appTerm
451
ref
appTerm
appTerm
2348
def
appTerm
absTerm
2349
def
appTerm
nil
cons
2350
def
cons
2351
def
36
ref
155
ref
443
ref
40
ref
46
ref
357
ref
1613
ref
appTerm
181
ref
appTerm
2352
def
appTerm
201
ref
444
ref
254
ref
1612
ref
appTerm
appTerm
appTerm
2353
def
appTerm
2354
def
appTerm
2348
ref
appTerm
2355
def
absTerm
2356
def
appTerm
nil
cons
2357
def
cons
nil
cons
cons
nil
cons
cons
2358
def
57
ref
subst
2358
remove
129
ref
subst
nil
164
ref
2356
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
2355
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2354
remove
nil
cons
2359
def
cons
36
ref
2348
remove
nil
cons
2360
def
cons
nil
cons
cons
nil
cons
cons
2361
def
57
ref
subst
2361
remove
129
ref
subst
nil
83
ref
2352
ref
nil
cons
2362
def
cons
85
ref
2353
ref
nil
cons
2363
def
cons
nil
cons
cons
nil
cons
cons
2364
def
99
ref
subst
2364
remove
305
ref
subst
414
ref
nil
641
ref
145
ref
660
ref
cons
nil
cons
cons
2365
def
nil
cons
cons
222
ref
subst
appThm
sym
414
ref
195
ref
203
ref
206
ref
597
ref
appTerm
451
ref
appTerm
2366
def
appTerm
207
ref
597
ref
appTerm
appTerm
absTerm
2367
def
refl
443
ref
15
ref
599
ref
appTerm
547
ref
appTerm
2368
def
absTerm
2369
def
445
ref
appTerm
2370
def
betaConv
468
ref
443
ref
2368
remove
assume
sym
15
ref
547
ref
appTerm
599
ref
appTerm
2371
def
assume
sym
deductAntisym
absThm
appThm
nil
164
ref
443
ref
2371
ref
absTerm
2372
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
2371
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
659
ref
eqMp
absThm
eqMp
2373
def
eqMp
2374
def
nil
35
ref
155
ref
2369
ref
appTerm
nil
cons
cons
36
ref
2370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2369
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2375
def
appThm
appThm
sym
414
ref
2367
remove
547
ref
appTerm
betaConv
appThm
sym
87
ref
"_32369"
3
ref
var
2376
def
408
ref
2376
remove
varTerm
appTerm
absTerm
2377
def
199
ref
201
ref
547
ref
appTerm
2378
def
appTerm
2366
ref
appTerm
186
ref
547
ref
appTerm
597
ref
appTerm
2379
def
appTerm
appTerm
betaConv
appThm
465
ref
40
ref
2378
ref
appTerm
2380
def
refl
2377
ref
2366
ref
appTerm
betaConv
appThm
appThm
40
ref
230
ref
2378
ref
appTerm
2381
def
appTerm
2382
def
refl
2377
remove
2379
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1722
ref
2379
ref
nil
cons
cons
1723
ref
2366
ref
nil
cons
cons
1724
ref
2378
ref
nil
cons
2383
def
cons
nil
cons
cons
cons
nil
cons
cons
1744
remove
subst
eqMp
sym
nil
35
ref
2383
ref
cons
36
ref
408
ref
2366
remove
appTerm
2384
def
nil
cons
2385
def
cons
nil
cons
cons
nil
cons
cons
2386
def
57
ref
subst
2386
remove
129
ref
subst
nil
35
ref
2362
ref
cons
285
ref
cons
nil
cons
cons
108
ref
subst
nil
70
ref
2362
remove
cons
nil
cons
nil
cons
cons
2387
def
881
ref
subst
nil
240
ref
1613
ref
nil
cons
2388
def
cons
nil
cons
nil
cons
cons
848
ref
subst
trans
sym
426
ref
46
ref
201
ref
427
ref
appTerm
appTerm
2389
def
546
ref
1613
ref
appTerm
appTerm
absTerm
2390
def
547
ref
appTerm
betaConv
sym
465
ref
nil
70
ref
2383
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
2378
remove
assume
eqMp
appThm
357
ref
547
ref
appTerm
2391
def
1613
remove
appTerm
2392
def
refl
appThm
nil
70
ref
2392
remove
nil
cons
2393
def
cons
nil
cons
nil
cons
cons
711
ref
subst
trans
sym
nil
175
ref
1611
remove
nil
cons
cons
2116
ref
cons
nil
cons
cons
558
ref
subst
nil
175
ref
1591
remove
cons
575
ref
cons
nil
cons
cons
558
ref
subst
1610
remove
trans
trans
sym
76
ref
eqMp
nil
35
ref
357
ref
545
ref
appTerm
2394
def
1612
ref
appTerm
nil
cons
cons
36
ref
2393
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
1612
remove
nil
cons
cons
1285
ref
593
ref
cons
nil
cons
2395
def
cons
nil
cons
cons
1556
ref
subst
eqMp
eqMp
eqMp
163
ref
164
ref
2390
ref
nil
cons
cons
165
ref
559
ref
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
2390
remove
appTerm
nil
cons
cons
1624
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
2388
remove
cons
487
ref
cons
nil
cons
cons
142
ref
40
ref
419
ref
175
ref
46
ref
492
ref
appTerm
1110
remove
appTerm
2396
def
absTerm
2397
def
appTerm
2398
def
appTerm
2399
def
1329
ref
appTerm
2400
def
absTerm
2401
def
150
ref
appTerm
2402
def
betaConv
240
ref
155
ref
2401
ref
appTerm
2403
def
absTerm
2404
def
242
ref
appTerm
2405
def
betaConv
nil
155
ref
240
ref
155
ref
175
ref
155
ref
142
ref
40
ref
2396
ref
appTerm
1329
ref
appTerm
absTerm
2406
def
appTerm
2407
def
absTerm
2408
def
appTerm
2409
def
absTerm
2410
def
appTerm
2411
def
axiom
nil
35
ref
2411
ref
nil
cons
2412
def
cons
2413
def
36
ref
155
ref
2404
ref
appTerm
nil
cons
2414
def
cons
nil
cons
cons
nil
cons
cons
2415
def
108
ref
subst
proveHyp
2415
ref
57
ref
subst
2415
remove
129
ref
subst
nil
164
ref
2404
remove
nil
cons
cons
2416
def
nil
cons
nil
cons
cons
413
ref
subst
240
ref
nil
70
ref
2403
remove
nil
cons
2417
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
2401
remove
nil
cons
cons
2418
def
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
2400
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2398
remove
nil
cons
2419
def
cons
2420
def
1352
ref
cons
nil
cons
cons
2421
def
57
ref
subst
2421
remove
129
ref
subst
nil
2413
ref
1352
ref
cons
nil
cons
cons
2422
def
108
ref
subst
nil
2420
remove
36
ref
40
ref
2411
remove
appTerm
1329
remove
appTerm
2423
def
nil
cons
2424
def
cons
nil
cons
2425
def
cons
nil
cons
cons
108
ref
subst
nil
164
ref
175
ref
40
ref
2397
ref
181
ref
appTerm
2426
def
appTerm
2423
ref
appTerm
2427
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
2427
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2426
ref
nil
cons
2428
def
cons
2425
ref
cons
nil
cons
cons
2429
def
57
ref
subst
2429
remove
129
ref
subst
2426
ref
betaConv
2426
remove
assume
eqMp
nil
35
ref
2396
remove
nil
cons
2430
def
cons
2431
def
2425
remove
cons
nil
cons
cons
2432
def
108
ref
subst
proveHyp
2432
ref
57
ref
subst
2432
remove
129
ref
subst
2422
ref
57
ref
subst
2422
remove
129
ref
subst
nil
2431
remove
1352
remove
cons
nil
cons
cons
108
ref
subst
2406
ref
150
ref
appTerm
2433
def
betaConv
2408
ref
181
ref
appTerm
2434
def
betaConv
2410
ref
242
ref
appTerm
2435
def
betaConv
nil
2413
remove
36
ref
2435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
2410
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2409
remove
nil
cons
cons
36
ref
2434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2408
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2407
remove
nil
cons
cons
36
ref
2433
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2406
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2412
remove
cons
2436
def
1369
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
2430
remove
cons
85
ref
2424
remove
cons
nil
cons
2437
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2428
remove
cons
2437
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2397
ref
1157
ref
appTerm
appTerm
2423
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
2399
remove
2423
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2397
remove
nil
cons
cons
2437
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2419
remove
cons
1369
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2436
remove
85
ref
2414
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
2414
remove
cons
36
ref
2405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2416
remove
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2417
remove
cons
36
ref
2402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2418
remove
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2438
def
subst
eqMp
eqMp
eqMp
nil
83
ref
2385
ref
cons
nil
cons
nil
cons
cons
320
remove
subst
proveHyp
eqMp
nil
83
ref
2383
remove
cons
85
ref
2385
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2380
remove
2384
remove
appTerm
nil
cons
cons
36
ref
2382
remove
408
ref
2379
ref
appTerm
2439
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
2381
remove
nil
cons
2440
def
cons
36
ref
2439
remove
nil
cons
2441
def
cons
nil
cons
2442
def
cons
nil
cons
cons
2443
def
57
ref
subst
2443
remove
129
ref
subst
465
ref
1410
ref
626
ref
262
ref
1588
ref
appThm
2444
def
appThm
appThm
1590
ref
appThm
2387
remove
77
ref
subst
2352
remove
assume
eqMp
trans
appThm
1247
ref
626
ref
262
ref
2444
remove
appThm
appThm
appThm
nil
70
ref
2363
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
2353
remove
assume
eqMp
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
35
ref
46
ref
357
ref
444
ref
254
ref
2099
ref
853
ref
appTerm
2445
def
appTerm
2446
def
appTerm
appTerm
181
ref
appTerm
appTerm
201
ref
444
ref
254
ref
2446
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
2442
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
670
ref
2349
ref
445
ref
appTerm
2447
def
betaConv
nil
2351
remove
36
ref
2447
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
2349
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
83
ref
2440
remove
cons
85
ref
2441
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
2359
remove
cons
85
ref
2360
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
2350
remove
cons
85
ref
2357
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
2335
remove
appTerm
2340
remove
appTerm
nil
cons
cons
36
ref
155
ref
1679
ref
appTerm
nil
cons
2448
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
1679
ref
25
ref
appTerm
betaConv
appThm
468
ref
852
ref
286
ref
1681
ref
appThm
1679
ref
854
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
852
ref
1681
remove
absThm
appThm
appThm
nil
471
ref
1679
remove
nil
cons
2449
def
cons
nil
cons
nil
cons
cons
778
ref
subst
eqMp
eqMp
nil
35
ref
2448
remove
cons
36
ref
1680
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2449
remove
cons
165
ref
862
ref
cons
nil
cons
2450
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1678
remove
nil
cons
cons
36
ref
1677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1676
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1651
remove
cons
2451
def
2332
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1647
remove
cons
2452
def
2332
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1641
ref
1157
ref
appTerm
appTerm
2453
def
453
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1642
remove
appTerm
2454
def
453
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
1641
remove
nil
cons
cons
2455
def
2332
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
1631
remove
cons
2332
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
1629
remove
cons
2332
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
1299
remove
1157
ref
appTerm
appTerm
453
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
1300
remove
appTerm
453
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
1625
remove
2332
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
1692
remove
2332
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
455
remove
appTerm
nil
cons
cons
36
ref
456
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
457
remove
393
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
40
ref
1971
remove
appTerm
408
ref
186
ref
1957
ref
appTerm
677
ref
appTerm
2456
def
appTerm
appTerm
nil
cons
cons
435
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
1410
ref
626
ref
1683
ref
734
ref
subst
2457
def
appThm
692
ref
trans
2458
def
appThm
1590
ref
appThm
appThm
414
ref
2341
ref
2458
ref
appThm
680
ref
appThm
2459
def
appThm
appThm
appThm
433
ref
refl
appThm
sym
nil
35
ref
40
ref
1416
remove
181
ref
appTerm
2460
def
appTerm
433
ref
appTerm
2461
def
nil
cons
2462
def
cons
435
ref
cons
nil
cons
cons
2463
def
57
ref
subst
2463
remove
129
ref
subst
1441
remove
429
remove
assume
appThm
nil
1218
remove
1443
ref
cons
nil
cons
cons
558
ref
subst
1219
remove
517
ref
subst
trans
trans
sym
76
ref
eqMp
nil
35
ref
2460
remove
nil
cons
cons
435
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
2461
remove
assume
eqMp
eqMp
nil
83
ref
2462
remove
cons
85
ref
434
ref
cons
nil
cons
2464
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
441
remove
cons
2464
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
439
remove
cons
2464
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
430
ref
1157
ref
appTerm
appTerm
433
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
431
ref
appTerm
433
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
430
remove
nil
cons
cons
2464
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
nil
35
ref
232
ref
nil
cons
2465
def
cons
2466
def
435
remove
cons
nil
cons
cons
2467
def
57
ref
subst
2467
remove
129
ref
subst
414
ref
148
remove
222
remove
subst
appThm
sym
414
ref
195
ref
203
remove
206
remove
26
ref
appTerm
25
ref
appTerm
appTerm
207
remove
26
ref
appTerm
appTerm
absTerm
227
remove
appTerm
betaConv
228
remove
2224
ref
232
ref
assume
2468
def
appThm
267
ref
appThm
nil
176
ref
1443
ref
cons
nil
cons
cons
1226
remove
subst
178
ref
517
remove
subst
trans
trans
appThm
205
remove
refl
2468
ref
appThm
266
ref
appThm
268
ref
appThm
appThm
185
ref
refl
2468
ref
appThm
267
remove
appThm
266
ref
appThm
appThm
351
remove
trans
trans
appThm
sym
414
ref
383
remove
appThm
sym
414
ref
405
remove
appThm
1908
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2465
ref
cons
2469
def
2464
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2469
ref
85
ref
431
remove
nil
cons
cons
991
ref
434
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
432
remove
cons
2464
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2470
def
eqMp
2471
def
absThm
eqMp
nil
155
ref
410
remove
appTerm
thm
nil
"g"
17
ref
var
27
ref
nil
cons
cons
"f"
17
ref
var
18
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
110
remove
"B"
16
ref
cons
nil
cons
2472
def
cons
329
ref
cons
"g"
1014
ref
var
2473
def
39
ref
1017
remove
"f"
1014
remove
var
2474
def
varTerm
2475
def
appTerm
2473
ref
varTerm
2476
def
appTerm
2477
def
appTerm
119
ref
124
ref
9
ref
10
ref
395
ref
10
ref
395
ref
2
ref
cons
opType
2478
def
nil
cons
cons
opType
constTerm
2479
def
2475
ref
125
ref
appTerm
2480
def
appTerm
2476
ref
125
ref
appTerm
appTerm
absTerm
appTerm
2481
def
appTerm
absTerm
2482
def
2476
ref
appTerm
2483
def
betaConv
2474
ref
1023
ref
2482
ref
appTerm
2484
def
absTerm
2485
def
2475
ref
appTerm
2486
def
betaConv
1024
ref
2474
ref
1024
remove
2473
ref
nil
"y"
1
ref
var
2487
def
2481
ref
nil
cons
cons
319
ref
2477
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
695
ref
1727
ref
39
ref
399
ref
1729
ref
appTerm
2488
def
appTerm
2489
def
333
ref
1729
ref
appTerm
2490
def
125
ref
appTerm
appTerm
absTerm
2491
def
1729
ref
appTerm
2492
def
betaConv
124
ref
119
ref
2491
ref
appTerm
2493
def
absTerm
2494
def
125
ref
appTerm
2495
def
betaConv
nil
119
ref
2494
ref
appTerm
2496
def
axiom
nil
35
ref
2496
remove
nil
cons
cons
36
ref
2495
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
2494
remove
nil
cons
cons
1105
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2493
remove
nil
cons
cons
36
ref
2492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
2491
remove
nil
cons
cons
1742
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
absThm
appThm
absThm
appThm
sym
nil
1023
ref
2474
ref
1023
ref
2473
remove
39
ref
2481
remove
appTerm
2477
remove
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
1023
ref
2485
ref
appTerm
nil
cons
cons
36
ref
2486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1029
ref
1030
ref
2485
remove
nil
cons
cons
1031
ref
2475
ref
nil
cons
cons
nil
cons
2497
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2484
remove
nil
cons
cons
36
ref
2483
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1029
ref
1030
ref
2482
remove
nil
cons
cons
1031
remove
2476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2498
def
subst
subst
2051
ref
113
ref
239
ref
nil
4
ref
113
ref
varTerm
2499
def
nil
cons
cons
nil
cons
nil
cons
cons
141
ref
subst
appThm
27
ref
2499
ref
appTerm
2500
def
refl
appThm
nil
165
ref
2500
remove
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
absThm
appThm
520
ref
330
ref
741
ref
subst
subst
2501
def
trans
trans
sym
76
ref
eqMp
nil
9
ref
10
ref
17
ref
10
ref
17
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
18
ref
appTerm
27
ref
appTerm
thm
nil
164
ref
175
ref
15
ref
18
ref
182
ref
appTerm
2502
def
appTerm
181
ref
appTerm
2503
def
absTerm
2504
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
2503
ref
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
239
ref
nil
4
ref
182
ref
nil
cons
cons
nil
cons
nil
cons
cons
2505
def
141
ref
subst
27
ref
refl
2506
def
193
ref
appThm
trans
appThm
1590
ref
appThm
sym
443
ref
15
ref
27
ref
452
remove
appTerm
appTerm
181
ref
appTerm
2507
def
absTerm
2508
def
25
ref
appTerm
2509
def
betaConv
nil
164
ref
2508
ref
nil
cons
cons
2510
def
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
2507
ref
nil
cons
2511
def
cons
nil
cons
nil
cons
cons
77
ref
subst
1184
remove
nil
35
ref
539
remove
cons
36
ref
419
ref
1285
ref
1297
remove
absTerm
2512
def
appTerm
2513
def
nil
cons
2514
def
cons
nil
cons
2515
def
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
502
remove
appThm
2513
ref
refl
appThm
sym
nil
164
ref
"i"
11
ref
var
2516
def
40
ref
464
ref
2516
ref
varTerm
2517
def
appTerm
2518
def
appTerm
2513
ref
appTerm
2519
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
2516
remove
nil
70
ref
2519
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2518
ref
nil
cons
2520
def
cons
2515
ref
cons
nil
cons
cons
2521
def
57
ref
subst
2521
remove
129
ref
subst
2518
ref
betaConv
2518
remove
assume
eqMp
nil
35
ref
201
ref
444
ref
2517
ref
appTerm
2522
def
appTerm
2523
def
nil
cons
2524
def
cons
2515
remove
cons
nil
cons
cons
2525
def
108
ref
subst
proveHyp
2525
ref
57
ref
subst
2525
remove
129
ref
subst
2512
ref
210
ref
2517
ref
appTerm
445
ref
appTerm
2526
def
appTerm
betaConv
sym
46
ref
201
ref
444
ref
210
ref
2526
ref
appTerm
602
ref
appTerm
2527
def
appTerm
2528
def
appTerm
2529
def
appTerm
refl
nil
240
ref
2517
ref
nil
cons
2530
def
cons
2531
def
607
remove
cons
nil
cons
cons
1470
ref
subst
appThm
nil
70
ref
2529
remove
nil
cons
2532
def
cons
nil
cons
nil
cons
cons
1260
ref
subst
trans
sym
426
ref
2389
remove
546
ref
2528
ref
appTerm
appTerm
absTerm
2533
def
2522
ref
appTerm
betaConv
sym
465
ref
nil
70
ref
2524
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
2523
remove
assume
eqMp
appThm
357
ref
2522
ref
appTerm
2528
ref
appTerm
2534
def
refl
appThm
nil
70
ref
2534
remove
nil
cons
2535
def
cons
nil
cons
nil
cons
cons
711
ref
subst
trans
sym
357
ref
2517
remove
appTerm
2536
def
refl
nil
142
ref
727
ref
cons
606
ref
2531
remove
nil
cons
2537
def
cons
cons
nil
cons
cons
142
ref
46
ref
892
ref
appTerm
46
ref
15
ref
210
ref
577
ref
appTerm
150
ref
appTerm
2538
def
appTerm
243
ref
645
ref
appTerm
2539
def
appTerm
2540
def
appTerm
15
ref
2539
ref
appTerm
2541
def
609
ref
643
ref
appTerm
2542
def
appTerm
2543
def
appTerm
2544
def
appTerm
absTerm
2545
def
150
ref
appTerm
2546
def
betaConv
175
ref
155
ref
2545
ref
appTerm
2547
def
absTerm
2548
def
181
ref
appTerm
2549
def
betaConv
240
ref
155
ref
2548
ref
appTerm
2550
def
absTerm
2551
def
242
ref
appTerm
2552
def
betaConv
nil
35
ref
155
ref
2551
ref
appTerm
2553
def
nil
cons
cons
2554
def
nil
cons
nil
cons
cons
887
remove
subst
sym
nil
35
ref
230
ref
2553
remove
appTerm
nil
cons
2555
def
cons
2556
def
285
ref
cons
nil
cons
cons
2557
def
57
ref
subst
2557
remove
129
ref
subst
nil
155
ref
240
ref
155
ref
175
ref
155
ref
142
ref
2541
ref
2538
ref
appTerm
2558
def
absTerm
2559
def
appTerm
2560
def
absTerm
2561
def
appTerm
2562
def
absTerm
2563
def
appTerm
2564
def
axiom
2565
def
nil
35
ref
2564
ref
nil
cons
2566
def
cons
2567
def
285
ref
cons
nil
cons
cons
2568
def
108
ref
subst
proveHyp
897
remove
nil
899
ref
36
ref
40
ref
2564
ref
appTerm
277
ref
appTerm
2569
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2556
remove
36
ref
40
ref
896
ref
appTerm
2570
def
2569
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
286
ref
238
ref
468
ref
240
ref
468
ref
175
ref
87
ref
468
ref
142
ref
465
ref
142
ref
892
ref
absTerm
2571
def
150
ref
appTerm
betaConv
2572
def
appThm
142
ref
2544
ref
absTerm
2573
def
150
ref
appTerm
betaConv
2574
def
appThm
absThm
appThm
appThm
465
ref
468
ref
142
ref
2572
remove
absThm
appThm
appThm
468
ref
142
ref
2574
remove
absThm
appThm
appThm
appThm
nil
471
ref
2571
remove
nil
cons
cons
"q"
12
remove
var
2575
def
2573
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
411
ref
"q"
117
ref
var
2576
def
39
ref
119
ref
124
ref
46
ref
1036
ref
appTerm
2576
ref
varTerm
2577
def
125
ref
appTerm
2578
def
appTerm
absTerm
appTerm
appTerm
46
ref
119
ref
1037
remove
appTerm
2579
def
appTerm
119
ref
124
ref
2578
ref
absTerm
2580
def
appTerm
appTerm
appTerm
absTerm
2581
def
2577
ref
appTerm
2582
def
betaConv
131
ref
1042
ref
2581
ref
appTerm
2583
def
absTerm
2584
def
132
ref
appTerm
2585
def
betaConv
nil
1042
ref
2584
ref
appTerm
2586
def
axiom
nil
35
ref
2586
remove
nil
cons
cons
36
ref
2585
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2584
remove
nil
cons
cons
1048
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2583
remove
nil
cons
cons
36
ref
2582
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2581
remove
nil
cons
cons
1046
remove
2577
ref
nil
cons
cons
nil
cons
2587
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2588
def
subst
eqMp
465
ref
nil
70
ref
892
ref
nil
cons
2589
def
cons
nil
cons
nil
cons
cons
742
remove
subst
appThm
87
ref
468
ref
142
ref
465
ref
142
ref
2540
ref
absTerm
2590
def
150
ref
appTerm
betaConv
2591
def
appThm
142
ref
2543
ref
absTerm
2592
def
150
ref
appTerm
betaConv
2593
def
appThm
absThm
appThm
appThm
465
ref
468
ref
142
ref
2591
ref
absThm
appThm
appThm
468
ref
142
ref
2593
ref
absThm
appThm
appThm
appThm
nil
471
ref
2590
ref
nil
cons
2594
def
cons
2575
ref
2592
ref
nil
cons
2595
def
cons
nil
cons
cons
nil
cons
cons
2588
ref
subst
eqMp
appThm
trans
absThm
appThm
87
ref
468
ref
175
ref
465
ref
1475
ref
appThm
175
ref
46
ref
155
ref
2590
remove
appTerm
2596
def
appTerm
155
ref
2592
remove
appTerm
2597
def
appTerm
absTerm
2598
def
181
ref
appTerm
betaConv
2599
def
appThm
absThm
appThm
appThm
465
ref
468
ref
175
ref
1475
ref
absThm
appThm
appThm
468
ref
175
ref
2599
remove
absThm
appThm
appThm
appThm
nil
471
ref
1478
remove
cons
2575
ref
2598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2588
ref
subst
eqMp
46
ref
894
remove
appTerm
refl
87
ref
468
ref
175
ref
465
ref
175
ref
2596
remove
absTerm
2600
def
181
ref
appTerm
betaConv
2601
def
appThm
175
ref
2597
remove
absTerm
2602
def
181
ref
appTerm
betaConv
2603
def
appThm
absThm
appThm
appThm
465
ref
468
ref
175
ref
2601
ref
absThm
appThm
appThm
468
ref
175
ref
2603
ref
absThm
appThm
appThm
appThm
nil
471
ref
2600
ref
nil
cons
2604
def
cons
2575
ref
2602
ref
nil
cons
2605
def
cons
nil
cons
cons
nil
cons
cons
2588
ref
subst
eqMp
appThm
trans
trans
absThm
appThm
87
ref
468
ref
240
ref
465
ref
1477
ref
appThm
240
ref
46
ref
155
ref
2600
remove
appTerm
2606
def
appTerm
155
ref
2602
remove
appTerm
2607
def
appTerm
absTerm
2608
def
242
ref
appTerm
betaConv
2609
def
appThm
absThm
appThm
appThm
465
ref
468
ref
240
ref
1477
ref
absThm
appThm
appThm
468
ref
240
ref
2609
remove
absThm
appThm
appThm
appThm
nil
471
ref
908
remove
cons
2575
ref
2608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2588
ref
subst
eqMp
46
ref
896
remove
appTerm
2610
def
refl
87
ref
468
ref
240
ref
465
ref
240
ref
2606
remove
absTerm
2611
def
242
ref
appTerm
betaConv
2612
def
appThm
240
ref
2607
remove
absTerm
2613
def
242
ref
appTerm
betaConv
2614
def
appThm
absThm
appThm
appThm
465
ref
468
ref
240
ref
2612
ref
absThm
appThm
appThm
468
ref
240
ref
2614
ref
absThm
appThm
appThm
appThm
nil
471
ref
2611
ref
nil
cons
2615
def
cons
2575
ref
2613
ref
nil
cons
2616
def
cons
nil
cons
cons
nil
cons
cons
2588
remove
subst
eqMp
appThm
trans
trans
appThm
appThm
2570
ref
refl
nil
70
ref
2566
ref
cons
nil
cons
nil
cons
cons
881
ref
subst
2617
def
appThm
appThm
sym
nil
35
ref
230
ref
2610
remove
46
ref
155
ref
2611
remove
appTerm
2618
def
appTerm
155
ref
2613
remove
appTerm
2619
def
appTerm
2620
def
appTerm
appTerm
2621
def
nil
cons
2622
def
cons
36
ref
2570
remove
230
ref
2564
remove
appTerm
2623
def
appTerm
nil
cons
2624
def
cons
nil
cons
cons
nil
cons
cons
2625
def
57
ref
subst
2625
remove
129
ref
subst
nil
899
ref
36
ref
2623
remove
nil
cons
2626
def
cons
nil
cons
cons
nil
cons
cons
2627
def
57
ref
subst
2627
remove
129
ref
subst
2617
remove
2568
ref
57
ref
subst
2568
remove
129
ref
subst
nil
899
ref
36
ref
2620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
928
remove
36
ref
39
ref
230
ref
48
remove
appTerm
appTerm
415
ref
875
remove
appTerm
930
ref
appTerm
appTerm
nil
cons
2628
def
cons
nil
cons
2629
def
cons
nil
cons
cons
2630
def
57
ref
subst
2630
remove
129
ref
subst
39
ref
"_530"
1
ref
var
2631
def
39
ref
230
ref
46
ref
2631
remove
varTerm
2632
def
appTerm
43
ref
appTerm
appTerm
appTerm
415
ref
230
ref
2632
remove
appTerm
appTerm
930
ref
appTerm
appTerm
absTerm
2633
def
41
ref
appTerm
2634
def
appTerm
refl
2635
def
2633
ref
277
ref
appTerm
betaConv
appThm
87
ref
2634
remove
betaConv
appThm
2636
def
39
ref
230
ref
971
ref
43
ref
appTerm
appTerm
appTerm
415
ref
324
ref
appTerm
2637
def
930
ref
appTerm
appTerm
refl
appThm
trans
2633
remove
refl
2638
def
943
remove
appThm
eqMp
sym
87
ref
238
ref
80
ref
975
ref
subst
appThm
325
ref
trans
appThm
837
ref
325
ref
appThm
2639
def
949
ref
appThm
951
ref
968
ref
subst
trans
appThm
689
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
953
remove
85
ref
2628
ref
cons
nil
cons
2640
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
957
remove
2629
remove
cons
nil
cons
cons
2641
def
57
ref
subst
2641
remove
129
ref
subst
2635
remove
"_528"
1
ref
var
2642
def
39
ref
230
ref
46
ref
2642
remove
varTerm
2643
def
appTerm
43
ref
appTerm
appTerm
appTerm
415
ref
230
ref
2643
remove
appTerm
appTerm
930
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
2636
remove
39
ref
230
ref
707
ref
43
ref
appTerm
appTerm
appTerm
415
ref
962
ref
appTerm
2644
def
930
remove
appTerm
appTerm
refl
appThm
trans
2638
remove
964
remove
appThm
eqMp
sym
87
ref
238
ref
80
remove
711
ref
subst
appThm
appThm
837
ref
969
ref
appThm
2645
def
949
remove
appThm
951
remove
947
ref
subst
trans
appThm
952
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
982
ref
2640
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
989
remove
nil
982
remove
990
remove
991
ref
2628
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
2646
def
subst
837
ref
nil
909
ref
nil
cons
nil
cons
cons
411
ref
87
ref
238
ref
119
ref
refl
2647
def
1033
remove
appThm
appThm
appThm
521
ref
1034
remove
appTerm
refl
appThm
sym
1035
remove
131
ref
39
ref
230
ref
2579
remove
appTerm
appTerm
521
ref
1039
remove
appTerm
appTerm
absTerm
2648
def
132
ref
appTerm
2649
def
betaConv
nil
1042
ref
2648
ref
appTerm
2650
def
axiom
nil
35
ref
2650
remove
nil
cons
cons
36
ref
2649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2648
remove
nil
cons
cons
1048
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
subst
2651
def
subst
463
ref
240
ref
238
ref
1477
remove
appThm
nil
1479
remove
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
175
ref
238
ref
1475
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
35
ref
2618
remove
nil
cons
cons
36
ref
2619
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2646
remove
subst
837
ref
nil
164
ref
2615
remove
cons
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
240
ref
238
ref
2612
remove
appThm
nil
164
ref
2604
remove
cons
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
175
ref
238
ref
2601
remove
appThm
nil
164
ref
2594
remove
cons
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
142
ref
238
ref
2591
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
164
ref
2616
remove
cons
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
240
ref
238
ref
2614
remove
appThm
nil
164
ref
2605
remove
cons
nil
cons
nil
cons
cons
2651
ref
subst
463
ref
175
ref
238
ref
2603
remove
appThm
nil
164
ref
2595
remove
cons
nil
cons
nil
cons
cons
2651
remove
subst
463
ref
142
ref
238
ref
2593
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
415
ref
419
ref
240
ref
419
ref
175
ref
230
ref
892
remove
appTerm
2652
def
absTerm
2653
def
appTerm
absTerm
2654
def
appTerm
appTerm
refl
87
ref
837
ref
463
ref
240
ref
240
ref
419
ref
175
ref
419
ref
142
ref
230
ref
2540
ref
appTerm
2655
def
absTerm
2656
def
appTerm
absTerm
2657
def
appTerm
absTerm
2658
def
242
ref
appTerm
betaConv
2659
def
absThm
appThm
appThm
463
ref
240
ref
240
ref
419
ref
175
ref
419
ref
142
ref
230
ref
2543
ref
appTerm
2660
def
absTerm
2661
def
appTerm
absTerm
2662
def
appTerm
absTerm
2663
def
242
ref
appTerm
betaConv
2664
def
absThm
appThm
appThm
appThm
463
ref
240
ref
837
ref
2659
remove
appThm
2664
remove
appThm
absThm
appThm
appThm
nil
471
ref
2658
remove
nil
cons
cons
2575
ref
2663
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
411
ref
2576
ref
39
ref
415
ref
1038
ref
appTerm
521
ref
2580
remove
appTerm
2665
def
appTerm
appTerm
521
ref
124
ref
415
ref
1036
ref
appTerm
2578
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2666
def
2577
ref
appTerm
2667
def
betaConv
131
ref
1042
ref
2666
ref
appTerm
2668
def
absTerm
2669
def
132
ref
appTerm
2670
def
betaConv
nil
1042
ref
2669
ref
appTerm
2671
def
axiom
nil
35
ref
2671
remove
nil
cons
cons
36
ref
2670
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2669
remove
nil
cons
cons
1048
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2668
remove
nil
cons
cons
36
ref
2667
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2666
remove
nil
cons
cons
2587
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2672
def
subst
eqMp
463
ref
240
ref
87
ref
837
ref
463
ref
175
ref
2657
ref
181
ref
appTerm
betaConv
2673
def
absThm
appThm
appThm
463
ref
175
ref
2662
ref
181
ref
appTerm
betaConv
2674
def
absThm
appThm
appThm
appThm
463
ref
175
ref
837
ref
2673
remove
appThm
2674
remove
appThm
absThm
appThm
appThm
nil
471
ref
2657
remove
nil
cons
cons
2575
ref
2662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2672
ref
subst
eqMp
463
ref
175
ref
87
ref
837
ref
463
ref
142
ref
2656
ref
150
ref
appTerm
betaConv
2675
def
absThm
appThm
appThm
463
ref
142
ref
2661
ref
150
ref
appTerm
betaConv
2676
def
absThm
appThm
appThm
appThm
463
ref
142
ref
837
ref
2675
remove
appThm
2676
remove
appThm
absThm
appThm
appThm
nil
471
ref
2656
remove
nil
cons
cons
2575
ref
2661
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2672
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
87
ref
837
ref
463
ref
240
ref
2654
ref
242
ref
appTerm
betaConv
2677
def
absThm
appThm
appThm
463
ref
240
ref
240
ref
419
ref
175
ref
419
ref
142
ref
415
ref
2655
ref
appTerm
2660
ref
appTerm
2678
def
absTerm
2679
def
appTerm
absTerm
2680
def
appTerm
absTerm
2681
def
242
ref
appTerm
betaConv
2682
def
absThm
appThm
appThm
appThm
463
ref
240
ref
837
ref
2677
remove
appThm
2682
remove
appThm
absThm
appThm
appThm
nil
471
ref
2654
remove
nil
cons
cons
2575
ref
2681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2672
ref
subst
eqMp
463
ref
240
ref
87
ref
837
ref
463
ref
175
ref
2653
ref
181
ref
appTerm
betaConv
2683
def
absThm
appThm
appThm
463
ref
175
ref
2680
ref
181
ref
appTerm
betaConv
2684
def
absThm
appThm
appThm
appThm
463
ref
175
ref
837
ref
2683
remove
appThm
2684
remove
appThm
absThm
appThm
appThm
nil
471
ref
2653
remove
nil
cons
cons
2575
ref
2680
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2672
remove
subst
eqMp
463
ref
175
ref
87
ref
415
ref
2652
ref
appTerm
2685
def
refl
2686
def
463
ref
142
ref
2679
ref
150
ref
appTerm
betaConv
2687
def
absThm
appThm
appThm
appThm
463
remove
142
ref
2686
remove
2687
remove
appThm
absThm
appThm
appThm
nil
2575
remove
2679
remove
nil
cons
cons
35
ref
2652
ref
nil
cons
2688
def
cons
2689
def
nil
cons
cons
nil
cons
cons
411
ref
2576
remove
39
ref
929
ref
2665
remove
appTerm
appTerm
521
ref
124
ref
929
remove
2578
remove
appTerm
absTerm
appTerm
appTerm
absTerm
2690
def
2577
remove
appTerm
2691
def
betaConv
35
ref
1042
ref
2690
ref
appTerm
2692
def
absTerm
2693
def
41
ref
appTerm
2694
def
betaConv
nil
315
ref
2693
ref
appTerm
2695
def
axiom
nil
35
ref
2695
remove
nil
cons
cons
36
ref
2694
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2693
remove
nil
cons
cons
886
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2692
remove
nil
cons
cons
36
ref
2691
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
ref
1045
ref
2690
remove
nil
cons
cons
2587
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
2621
remove
assume
eqMp
nil
35
ref
419
ref
240
ref
419
ref
175
ref
419
ref
142
ref
2685
remove
2678
ref
appTerm
2696
def
absTerm
2697
def
appTerm
2698
def
absTerm
2699
def
appTerm
2700
def
absTerm
2701
def
appTerm
2702
def
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
240
ref
40
ref
2701
ref
242
ref
appTerm
2703
def
appTerm
277
ref
appTerm
2704
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
240
ref
nil
70
ref
2704
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2703
ref
nil
cons
2705
def
cons
285
ref
cons
nil
cons
cons
2706
def
57
ref
subst
2706
remove
129
ref
subst
2703
ref
betaConv
2703
remove
assume
eqMp
nil
35
ref
2700
ref
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
175
ref
40
ref
2699
ref
181
ref
appTerm
2707
def
appTerm
277
ref
appTerm
2708
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
2708
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2707
ref
nil
cons
2709
def
cons
285
ref
cons
nil
cons
cons
2710
def
57
ref
subst
2710
remove
129
ref
subst
2707
ref
betaConv
2707
remove
assume
eqMp
nil
35
ref
2698
ref
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
142
ref
40
ref
2697
ref
150
ref
appTerm
2711
def
appTerm
277
ref
appTerm
2712
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
2712
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2711
ref
nil
cons
2713
def
cons
285
ref
cons
nil
cons
cons
2714
def
57
ref
subst
2714
remove
129
ref
subst
2711
ref
betaConv
2711
remove
assume
eqMp
nil
35
ref
2696
remove
nil
cons
2715
def
cons
285
ref
cons
nil
cons
cons
2716
def
108
ref
subst
proveHyp
2716
ref
57
ref
subst
2716
remove
129
ref
subst
nil
35
ref
2678
remove
nil
cons
2717
def
cons
285
ref
cons
nil
cons
cons
2718
def
57
ref
subst
2718
remove
129
ref
subst
nil
35
ref
2660
ref
nil
cons
2719
def
cons
285
ref
cons
nil
cons
cons
2720
def
57
ref
subst
2720
remove
129
ref
subst
nil
"_2194"
11
ref
var
2721
def
250
ref
cons
2722
def
"_2193"
11
ref
var
2723
def
645
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
15
ref
210
ref
2723
ref
varTerm
2724
def
appTerm
181
ref
appTerm
appTerm
609
ref
2724
ref
appTerm
appTerm
absTerm
2725
def
2721
remove
varTerm
2726
def
appTerm
2727
def
betaConv
895
ref
2724
ref
appTerm
2728
def
betaConv
nil
899
ref
36
ref
2728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
909
ref
165
ref
2724
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2725
ref
appTerm
nil
cons
cons
36
ref
2727
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2725
remove
nil
cons
cons
165
ref
2726
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2729
def
subst
nil
35
ref
15
ref
210
ref
645
ref
appTerm
242
ref
appTerm
2730
def
appTerm
2731
def
2539
ref
appTerm
2732
def
nil
cons
cons
36
ref
2731
remove
2542
ref
appTerm
2733
def
nil
cons
cons
nil
cons
2734
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
"_2197"
11
ref
var
2735
def
250
ref
cons
"_2196"
11
ref
var
2736
def
168
ref
cons
"_2195"
11
ref
var
2737
def
191
ref
cons
nil
cons
cons
cons
nil
cons
cons
142
ref
15
ref
210
ref
2737
remove
varTerm
2738
def
appTerm
2739
def
210
ref
2736
remove
varTerm
2740
def
appTerm
150
ref
appTerm
appTerm
appTerm
210
ref
2739
ref
2740
ref
appTerm
appTerm
150
ref
appTerm
appTerm
absTerm
2741
def
2735
remove
varTerm
2742
def
appTerm
2743
def
betaConv
175
ref
155
ref
142
ref
15
ref
2739
ref
645
ref
appTerm
appTerm
210
ref
2739
remove
181
ref
appTerm
appTerm
150
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2744
def
2740
ref
appTerm
2745
def
betaConv
2563
ref
2738
ref
appTerm
2746
def
betaConv
nil
2567
ref
36
ref
2746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
2563
ref
nil
cons
cons
2747
def
165
ref
2738
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2744
ref
appTerm
nil
cons
cons
36
ref
2745
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2744
remove
nil
cons
cons
165
ref
2740
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2741
ref
appTerm
nil
cons
cons
36
ref
2743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2741
remove
nil
cons
cons
165
ref
2742
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
35
ref
15
ref
609
ref
910
ref
appTerm
2748
def
appTerm
2749
def
2730
ref
appTerm
2750
def
nil
cons
cons
36
ref
2749
remove
2542
ref
appTerm
2751
def
nil
cons
cons
nil
cons
2752
def
cons
nil
cons
cons
129
ref
subst
proveHyp
1590
ref
nil
35
ref
231
ref
181
ref
appTerm
2753
def
nil
cons
cons
36
ref
15
ref
910
ref
appTerm
643
ref
appTerm
2754
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2722
remove
2723
remove
168
ref
cons
nil
cons
cons
nil
cons
cons
2729
remove
subst
eqMp
nil
35
ref
46
ref
2753
remove
appTerm
2754
remove
appTerm
nil
cons
cons
2752
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_2209"
11
ref
var
2755
def
864
remove
cons
"_2207"
11
ref
var
2756
def
913
remove
cons
"_2208"
11
ref
var
2757
def
191
ref
cons
"_2206"
11
ref
var
2758
def
191
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
"b"
1
ref
var
2759
def
415
ref
230
ref
15
ref
2758
remove
varTerm
2760
def
appTerm
2757
remove
varTerm
2761
def
appTerm
2762
def
appTerm
2763
def
appTerm
2764
def
230
ref
15
ref
2756
remove
varTerm
2765
def
appTerm
2755
remove
varTerm
2766
def
appTerm
2767
def
appTerm
2768
def
appTerm
nil
cons
cons
"a"
1
ref
var
2769
def
15
ref
210
ref
2760
remove
appTerm
2765
remove
appTerm
appTerm
210
ref
2761
remove
appTerm
2766
remove
appTerm
appTerm
2770
def
nil
cons
2771
def
cons
nil
cons
cons
nil
cons
cons
nil
35
ref
39
ref
2769
ref
varTerm
2772
def
appTerm
2773
def
277
ref
appTerm
2774
def
nil
cons
2775
def
cons
2776
def
36
ref
39
ref
415
ref
2772
ref
appTerm
2759
ref
varTerm
2777
def
appTerm
2778
def
appTerm
40
ref
230
ref
2777
ref
appTerm
2779
def
appTerm
2780
def
2772
ref
appTerm
appTerm
nil
cons
2781
def
cons
nil
cons
2782
def
cons
nil
cons
cons
2783
def
57
ref
subst
2783
remove
129
ref
subst
39
ref
"_606"
1
ref
var
2784
def
39
ref
415
ref
2784
remove
varTerm
2785
def
appTerm
2777
ref
appTerm
appTerm
2780
ref
2785
remove
appTerm
appTerm
absTerm
2786
def
2772
ref
appTerm
2787
def
appTerm
refl
2788
def
2786
ref
277
ref
appTerm
betaConv
appThm
87
ref
2787
remove
betaConv
appThm
2789
def
39
ref
940
ref
2777
ref
appTerm
2790
def
appTerm
2780
ref
277
ref
appTerm
appTerm
refl
appThm
trans
2786
remove
refl
2791
def
2774
remove
assume
2792
def
appThm
eqMp
sym
87
ref
nil
70
ref
2777
ref
nil
cons
2793
def
cons
nil
cons
nil
cons
cons
2794
def
947
ref
subst
2795
def
appThm
nil
70
ref
2779
ref
nil
cons
2796
def
cons
nil
cons
nil
cons
cons
2797
def
881
ref
subst
2794
ref
885
ref
subst
trans
appThm
nil
319
ref
2793
remove
cons
nil
cons
nil
cons
cons
696
ref
subst
2798
def
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
2775
ref
cons
2799
def
85
ref
2781
ref
cons
nil
cons
2800
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2773
remove
62
ref
appTerm
2801
def
nil
cons
2802
def
cons
2803
def
2782
remove
cons
nil
cons
cons
2804
def
57
ref
subst
2804
remove
129
ref
subst
2788
remove
"_604"
1
ref
var
2805
def
39
ref
415
ref
2805
remove
varTerm
2806
def
appTerm
2777
ref
appTerm
appTerm
2780
ref
2806
remove
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
2789
remove
39
ref
961
ref
2777
ref
appTerm
2807
def
appTerm
2780
remove
62
ref
appTerm
appTerm
refl
appThm
trans
2791
remove
2801
remove
assume
2808
def
appThm
eqMp
sym
87
ref
2794
ref
968
ref
subst
2809
def
appThm
2797
ref
2015
ref
subst
appThm
689
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
2802
remove
cons
2810
def
2800
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
2772
ref
appTerm
2811
def
betaConv
986
ref
nil
987
ref
36
ref
2811
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
319
ref
2772
ref
nil
cons
2812
def
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2813
def
nil
2810
ref
85
ref
2775
remove
cons
2814
def
991
ref
2781
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
2815
def
subst
286
ref
nil
2759
ref
2768
ref
nil
cons
2816
def
cons
2769
ref
2763
remove
nil
cons
2817
def
cons
nil
cons
cons
nil
cons
cons
nil
2776
ref
36
ref
39
ref
230
ref
2778
remove
appTerm
appTerm
46
ref
230
ref
2772
ref
appTerm
2818
def
appTerm
2779
ref
appTerm
appTerm
nil
cons
2819
def
cons
nil
cons
2820
def
cons
nil
cons
cons
2821
def
57
ref
subst
2821
remove
129
ref
subst
39
ref
"_610"
1
ref
var
2822
def
39
ref
230
ref
415
ref
2822
remove
varTerm
2823
def
appTerm
2777
ref
appTerm
appTerm
appTerm
46
ref
230
ref
2823
remove
appTerm
appTerm
2779
ref
appTerm
appTerm
absTerm
2824
def
2772
ref
appTerm
2825
def
appTerm
refl
2826
def
2824
ref
277
ref
appTerm
betaConv
appThm
87
ref
2825
remove
betaConv
appThm
2827
def
39
ref
230
ref
2790
remove
appTerm
appTerm
941
remove
2779
ref
appTerm
appTerm
refl
appThm
trans
2824
remove
refl
2828
def
2792
ref
appThm
eqMp
sym
87
ref
238
ref
2795
ref
appThm
appThm
948
remove
2779
ref
refl
2829
def
appThm
2797
ref
711
ref
subst
trans
appThm
nil
319
ref
2796
remove
cons
nil
cons
nil
cons
cons
696
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
2799
ref
85
ref
2819
ref
cons
nil
cons
2830
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2803
ref
2820
remove
cons
nil
cons
cons
2831
def
57
ref
subst
2831
remove
129
ref
subst
2826
remove
"_608"
1
ref
var
2832
def
39
ref
230
ref
415
ref
2832
remove
varTerm
2833
def
appTerm
2777
ref
appTerm
appTerm
appTerm
46
ref
230
ref
2833
remove
appTerm
appTerm
2779
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
2827
remove
39
ref
230
ref
2807
remove
appTerm
appTerm
963
remove
2779
remove
appTerm
appTerm
refl
appThm
trans
2828
remove
2808
ref
appThm
eqMp
sym
87
ref
238
ref
2809
ref
appThm
969
ref
trans
appThm
970
remove
2829
remove
appThm
2797
remove
975
ref
subst
trans
appThm
981
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
2810
ref
2830
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
2813
ref
nil
2810
ref
2814
ref
991
ref
2819
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
2834
def
subst
465
ref
nil
2769
ref
2762
ref
nil
cons
2835
def
cons
nil
cons
2836
def
nil
cons
cons
nil
70
ref
2812
remove
cons
nil
cons
nil
cons
cons
885
ref
subst
2837
def
subst
appThm
nil
2769
ref
2767
ref
nil
cons
2838
def
cons
nil
cons
2839
def
nil
cons
cons
2837
ref
subst
appThm
trans
appThm
2770
ref
refl
appThm
trans
2764
remove
refl
nil
36
ref
2771
ref
cons
2840
def
35
ref
2816
ref
cons
nil
cons
cons
nil
cons
cons
nil
821
ref
79
ref
cons
822
ref
71
ref
cons
nil
cons
cons
2841
def
nil
cons
cons
821
ref
39
ref
415
ref
823
ref
appTerm
2842
def
824
ref
appTerm
2843
def
appTerm
415
ref
824
ref
appTerm
2844
def
823
ref
appTerm
appTerm
absTerm
2845
def
824
ref
appTerm
2846
def
betaConv
822
ref
315
ref
2845
ref
appTerm
2847
def
absTerm
2848
def
823
ref
appTerm
2849
def
betaConv
nil
315
ref
2848
ref
appTerm
2850
def
axiom
nil
35
ref
2850
remove
nil
cons
cons
36
ref
2849
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2848
remove
nil
cons
cons
834
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2847
remove
nil
cons
cons
36
ref
2846
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2845
remove
nil
cons
cons
835
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
2851
def
subst
appThm
nil
996
ref
2816
remove
cons
2840
ref
35
ref
2817
remove
cons
nil
cons
cons
cons
nil
cons
cons
87
ref
nil
"t3"
1
ref
var
2852
def
1675
ref
cons
2853
def
2841
remove
cons
nil
cons
cons
2852
ref
39
ref
2842
remove
2844
remove
2852
ref
varTerm
2854
def
appTerm
appTerm
2855
def
appTerm
415
ref
2843
remove
appTerm
2854
ref
appTerm
2856
def
appTerm
2857
def
absTerm
2858
def
2854
ref
appTerm
2859
def
betaConv
821
ref
315
ref
2858
ref
appTerm
2860
def
absTerm
2861
def
824
ref
appTerm
2862
def
betaConv
822
ref
315
ref
2861
ref
appTerm
2863
def
absTerm
2864
def
823
ref
appTerm
2865
def
betaConv
1387
ref
822
ref
1387
ref
821
ref
1387
ref
2852
ref
2857
remove
assume
sym
39
ref
2856
remove
appTerm
2855
remove
appTerm
2866
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
315
ref
822
ref
315
ref
821
ref
315
ref
2852
remove
2866
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
315
ref
2864
ref
appTerm
nil
cons
cons
36
ref
2865
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2864
remove
nil
cons
cons
834
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2863
remove
nil
cons
cons
36
ref
2862
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2861
remove
nil
cons
cons
835
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2860
remove
nil
cons
cons
36
ref
2859
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2858
remove
nil
cons
cons
319
ref
2854
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
2867
def
subst
appThm
nil
2853
remove
821
ref
71
ref
cons
822
ref
79
remove
cons
nil
cons
cons
cons
nil
cons
cons
2867
remove
subst
appThm
sym
837
ref
2851
ref
appThm
997
ref
refl
appThm
eqMp
2868
def
subst
trans
nil
2759
ref
415
ref
2768
remove
appTerm
2770
remove
appTerm
nil
cons
2869
def
cons
2836
remove
cons
nil
cons
cons
nil
2776
remove
36
ref
39
ref
40
ref
2772
ref
appTerm
2777
ref
appTerm
appTerm
415
ref
2818
remove
appTerm
2777
ref
appTerm
appTerm
nil
cons
2870
def
cons
nil
cons
2871
def
cons
nil
cons
cons
2872
def
57
ref
subst
2872
remove
129
ref
subst
39
ref
"_630"
1
ref
var
2873
def
39
ref
40
ref
2873
remove
varTerm
2874
def
appTerm
2777
ref
appTerm
appTerm
415
ref
230
ref
2874
remove
appTerm
appTerm
2777
ref
appTerm
appTerm
absTerm
2875
def
2772
remove
appTerm
2876
def
appTerm
refl
2877
def
2875
ref
277
ref
appTerm
betaConv
appThm
87
ref
2876
remove
betaConv
appThm
2878
def
39
ref
310
remove
2777
ref
appTerm
appTerm
2637
ref
2777
ref
appTerm
appTerm
refl
appThm
trans
2875
remove
refl
2879
def
2792
remove
appThm
eqMp
sym
87
ref
2794
ref
1281
ref
subst
appThm
2639
remove
2777
ref
refl
2880
def
appThm
2809
remove
trans
appThm
689
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
2799
remove
85
ref
2870
ref
cons
nil
cons
2881
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2803
remove
2871
remove
cons
nil
cons
cons
2882
def
57
ref
subst
2882
remove
129
ref
subst
2877
remove
"_628"
1
ref
var
2883
def
39
ref
40
ref
2883
remove
varTerm
2884
def
appTerm
2777
ref
appTerm
appTerm
415
ref
230
ref
2884
remove
appTerm
appTerm
2777
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
2878
remove
39
ref
1411
remove
2777
ref
appTerm
appTerm
2644
ref
2777
remove
appTerm
appTerm
refl
appThm
trans
2879
remove
2808
remove
appThm
eqMp
sym
87
ref
2794
remove
1415
ref
subst
appThm
2645
remove
2880
remove
appThm
2795
remove
trans
appThm
2798
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
2810
ref
2881
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
2813
remove
nil
2810
remove
2814
remove
991
ref
2870
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
2885
def
subst
nil
35
ref
2835
ref
cons
36
ref
2869
ref
cons
nil
cons
cons
nil
cons
cons
2886
def
57
ref
subst
2886
remove
129
ref
subst
nil
2759
ref
2771
ref
cons
2839
remove
cons
nil
cons
cons
2885
remove
subst
nil
35
ref
2838
ref
cons
2840
remove
nil
cons
cons
nil
cons
cons
2887
def
57
ref
subst
2887
remove
129
ref
subst
625
ref
2762
remove
assume
appThm
2767
remove
assume
appThm
eqMp
nil
83
ref
2838
remove
cons
85
ref
2771
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2835
remove
cons
85
ref
2869
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
35
ref
46
ref
2750
remove
appTerm
2751
remove
appTerm
nil
cons
cons
2734
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"z"
11
ref
var
2888
def
2542
remove
nil
cons
cons
2889
def
"y"
11
ref
var
2890
def
2730
remove
nil
cons
2891
def
cons
165
ref
2748
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
2759
ref
415
ref
230
ref
15
ref
1157
ref
appTerm
2892
def
2890
ref
varTerm
2893
def
appTerm
2894
def
appTerm
2895
def
appTerm
2896
def
230
ref
2892
remove
2888
ref
varTerm
2897
def
appTerm
2898
def
appTerm
2899
def
appTerm
nil
cons
cons
2769
ref
15
ref
2893
remove
appTerm
2897
remove
appTerm
2900
def
nil
cons
2901
def
cons
nil
cons
cons
nil
cons
cons
2815
remove
subst
286
ref
nil
2759
remove
2899
remove
nil
cons
2902
def
cons
2769
ref
2895
remove
nil
cons
2903
def
cons
nil
cons
cons
nil
cons
cons
2834
remove
subst
465
ref
nil
2769
ref
2894
remove
nil
cons
cons
nil
cons
nil
cons
cons
2837
ref
subst
appThm
nil
2769
remove
2898
remove
nil
cons
cons
nil
cons
nil
cons
cons
2837
remove
subst
appThm
trans
appThm
2900
remove
refl
appThm
trans
2896
remove
refl
nil
36
ref
2901
remove
cons
2904
def
35
ref
2902
ref
cons
nil
cons
cons
nil
cons
cons
2851
remove
subst
appThm
nil
996
ref
2902
remove
cons
2904
remove
35
ref
2903
remove
cons
nil
cons
cons
cons
nil
cons
cons
2868
remove
subst
trans
411
ref
nil
35
ref
230
ref
2488
ref
appTerm
2905
def
nil
cons
2906
def
cons
2907
def
36
ref
415
ref
2905
remove
appTerm
415
ref
230
ref
399
remove
"z"
116
ref
var
varTerm
2908
def
appTerm
appTerm
appTerm
2490
remove
2908
ref
appTerm
2909
def
appTerm
2910
def
appTerm
nil
cons
2911
def
cons
nil
cons
2912
def
cons
nil
cons
cons
2913
def
57
ref
subst
2913
remove
129
ref
subst
837
ref
238
ref
nil
2907
remove
36
ref
2489
remove
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
83
ref
2488
ref
nil
cons
2914
def
cons
2915
def
nil
cons
nil
cons
cons
321
ref
subst
eqMp
appThm
325
ref
trans
appThm
2910
ref
refl
appThm
nil
70
ref
2910
remove
nil
cons
cons
nil
cons
nil
cons
cons
968
ref
subst
trans
sym
76
ref
eqMp
eqMp
nil
83
ref
2906
ref
cons
85
ref
2911
ref
cons
nil
cons
2916
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2914
ref
cons
2912
remove
cons
nil
cons
cons
2917
def
57
ref
subst
2917
remove
129
ref
subst
837
ref
238
ref
333
ref
refl
2488
ref
assume
appThm
2918
def
1729
ref
refl
appThm
nil
1742
ref
nil
cons
cons
400
ref
subst
trans
appThm
969
ref
trans
appThm
837
ref
238
ref
2918
remove
2908
remove
refl
appThm
appThm
appThm
2909
ref
refl
appThm
appThm
nil
70
ref
415
ref
230
ref
2909
ref
appTerm
appTerm
2909
ref
appTerm
nil
cons
2919
def
cons
nil
cons
nil
cons
cons
947
ref
subst
trans
sym
nil
35
ref
39
ref
2909
ref
appTerm
2920
def
277
ref
appTerm
2921
def
nil
cons
2922
def
cons
36
ref
2919
ref
cons
nil
cons
2923
def
cons
nil
cons
cons
2924
def
57
ref
subst
2924
remove
129
ref
subst
39
ref
"_626"
1
ref
var
2925
def
415
ref
230
ref
2925
remove
varTerm
2926
def
appTerm
appTerm
2926
remove
appTerm
absTerm
2927
def
2909
ref
appTerm
2928
def
appTerm
refl
2929
def
2927
ref
277
ref
appTerm
betaConv
appThm
87
ref
2928
remove
betaConv
appThm
2930
def
2637
remove
277
ref
appTerm
refl
appThm
trans
2927
remove
refl
2931
def
2921
remove
assume
appThm
eqMp
sym
nil
70
ref
324
ref
nil
cons
2932
def
cons
nil
cons
nil
cons
cons
2933
def
70
ref
39
ref
415
ref
73
ref
appTerm
2934
def
277
ref
appTerm
appTerm
73
ref
appTerm
absTerm
2935
def
73
ref
appTerm
2936
def
betaConv
nil
315
ref
2935
ref
appTerm
2937
def
axiom
nil
35
ref
2937
remove
nil
cons
cons
36
ref
2936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2935
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
325
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
2922
ref
cons
85
ref
2919
ref
cons
nil
cons
2938
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2920
remove
62
ref
appTerm
2939
def
nil
cons
2940
def
cons
2923
remove
cons
nil
cons
cons
2941
def
57
ref
subst
2941
remove
129
ref
subst
2929
remove
"_624"
1
ref
var
2942
def
415
ref
230
ref
2942
remove
varTerm
2943
def
appTerm
appTerm
2943
remove
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
2930
remove
2644
remove
62
ref
appTerm
refl
appThm
trans
2931
remove
2939
remove
assume
appThm
eqMp
sym
nil
70
ref
962
ref
nil
cons
2944
def
cons
nil
cons
nil
cons
cons
2945
def
70
ref
39
ref
2934
ref
62
ref
appTerm
appTerm
62
ref
appTerm
absTerm
2946
def
73
ref
appTerm
2947
def
betaConv
nil
315
ref
2946
ref
appTerm
2948
def
axiom
nil
35
ref
2948
remove
nil
cons
cons
36
ref
2947
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2946
remove
nil
cons
cons
527
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
2940
remove
cons
2949
def
2938
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
2909
ref
appTerm
2950
def
betaConv
986
ref
nil
987
ref
36
ref
2950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
319
ref
2909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
2949
remove
85
ref
2922
remove
cons
991
ref
2919
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
2915
ref
2916
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
70
ref
2934
remove
802
remove
appTerm
absTerm
2951
def
2488
remove
appTerm
2952
def
betaConv
nil
315
ref
2951
ref
appTerm
2953
def
axiom
2954
def
nil
35
ref
2953
remove
nil
cons
cons
2955
def
36
ref
2952
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
2951
ref
nil
cons
cons
2956
def
319
ref
2914
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
2915
remove
85
ref
2906
remove
cons
991
ref
2911
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
2957
def
subst
eqMp
eqMp
nil
35
ref
46
ref
2732
remove
appTerm
2733
remove
appTerm
nil
cons
cons
36
ref
2543
remove
nil
cons
2958
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2889
remove
2890
ref
2539
ref
nil
cons
2959
def
cons
165
ref
2891
remove
cons
nil
cons
cons
cons
nil
cons
cons
2957
ref
subst
eqMp
nil
35
ref
2958
ref
cons
2960
def
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2960
remove
nil
cons
nil
cons
cons
923
ref
subst
2660
remove
assume
eqMp
eqMp
eqMp
nil
83
ref
2719
ref
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2655
ref
nil
cons
2961
def
cons
285
ref
cons
nil
cons
cons
2962
def
57
ref
subst
2962
remove
129
ref
subst
nil
"_2192"
11
ref
var
2963
def
168
ref
cons
"_2191"
11
ref
var
2964
def
191
ref
cons
"_2190"
11
ref
var
2965
def
250
ref
cons
nil
cons
cons
cons
nil
cons
cons
142
ref
15
ref
210
ref
2965
remove
varTerm
2966
def
appTerm
2967
def
210
ref
2964
remove
varTerm
2968
def
appTerm
150
ref
appTerm
appTerm
appTerm
210
ref
2967
ref
2968
ref
appTerm
appTerm
150
ref
appTerm
appTerm
absTerm
2969
def
2963
remove
varTerm
2970
def
appTerm
2971
def
betaConv
175
ref
155
ref
142
ref
15
ref
2967
ref
645
ref
appTerm
appTerm
210
ref
2967
remove
181
ref
appTerm
appTerm
150
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2972
def
2968
ref
appTerm
2973
def
betaConv
2563
ref
2966
ref
appTerm
2974
def
betaConv
nil
2567
ref
36
ref
2974
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
2747
ref
165
ref
2966
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2972
ref
appTerm
nil
cons
cons
36
ref
2973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2972
remove
nil
cons
cons
165
ref
2968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2969
ref
appTerm
nil
cons
cons
36
ref
2971
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2969
remove
nil
cons
cons
165
ref
2970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
35
ref
2558
ref
nil
cons
cons
36
ref
2541
remove
2539
remove
appTerm
2975
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
165
ref
2959
ref
cons
nil
cons
2976
def
nil
cons
cons
411
ref
139
remove
subst
subst
eqMp
nil
35
ref
46
ref
2558
remove
appTerm
2975
remove
appTerm
nil
cons
cons
36
ref
2540
remove
nil
cons
2977
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2888
remove
2959
remove
cons
2890
remove
2538
remove
nil
cons
cons
2976
remove
cons
cons
nil
cons
cons
2957
remove
subst
eqMp
nil
35
ref
2977
ref
cons
2978
def
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2978
remove
nil
cons
nil
cons
cons
923
ref
subst
2655
remove
assume
eqMp
eqMp
eqMp
nil
83
ref
2961
remove
cons
2979
def
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2979
remove
85
ref
2719
remove
cons
991
ref
284
remove
cons
nil
cons
2980
def
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
2717
ref
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2689
remove
285
ref
cons
nil
cons
cons
2981
def
57
ref
subst
2981
remove
129
ref
subst
nil
"_2184"
11
ref
var
2982
def
191
ref
cons
"_2183"
11
ref
var
2983
def
250
remove
cons
nil
cons
cons
nil
cons
cons
175
ref
15
ref
210
ref
2983
remove
varTerm
2984
def
appTerm
181
ref
appTerm
appTerm
609
ref
2984
ref
appTerm
appTerm
absTerm
2985
def
2982
remove
varTerm
2986
def
appTerm
2987
def
betaConv
895
remove
2984
ref
appTerm
2988
def
betaConv
nil
899
remove
36
ref
2988
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
909
remove
165
ref
2984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
155
ref
2985
ref
appTerm
nil
cons
cons
36
ref
2987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2985
remove
nil
cons
cons
165
ref
2986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
35
ref
2589
ref
cons
2989
def
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2989
remove
nil
cons
nil
cons
cons
923
remove
subst
2652
remove
assume
eqMp
eqMp
eqMp
nil
83
ref
2688
remove
cons
2990
def
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
2990
remove
85
ref
2717
remove
cons
2980
ref
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
2715
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2713
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2697
ref
1157
ref
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
2698
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2697
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
2709
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2699
ref
1157
ref
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
2700
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2699
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
2705
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2701
ref
1157
ref
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
2702
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2701
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
2566
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1051
remove
85
ref
2626
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
2622
remove
cons
85
ref
2624
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
2555
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
2554
remove
36
ref
2552
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2551
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2550
remove
nil
cons
cons
36
ref
2549
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2548
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2547
remove
nil
cons
cons
36
ref
2546
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2545
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
83
ref
2589
remove
cons
85
ref
2544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
proveHyp
nil
83
ref
2977
remove
cons
85
ref
2958
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
proveHyp
2991
def
subst
appThm
nil
175
ref
603
ref
nil
cons
cons
2537
remove
cons
nil
cons
cons
1609
ref
subst
trans
sym
76
ref
eqMp
nil
35
ref
2536
remove
2527
ref
appTerm
nil
cons
cons
36
ref
2535
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
2527
remove
nil
cons
cons
1285
ref
2530
remove
cons
nil
cons
cons
nil
cons
cons
1556
ref
subst
eqMp
eqMp
eqMp
163
ref
164
ref
2533
ref
nil
cons
cons
165
ref
2522
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
2533
remove
appTerm
nil
cons
cons
36
ref
2532
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
2528
remove
nil
cons
cons
487
ref
cons
nil
cons
cons
2438
ref
subst
eqMp
eqMp
eqMp
163
ref
164
ref
2512
ref
nil
cons
cons
2992
def
165
ref
2526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
nil
83
ref
2524
remove
cons
85
ref
2514
ref
cons
nil
cons
2993
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2520
remove
cons
2993
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
464
ref
1157
ref
appTerm
appTerm
2513
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
419
ref
464
remove
appTerm
appTerm
2513
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
472
remove
cons
2993
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
35
ref
2514
remove
cons
36
ref
2511
ref
cons
nil
cons
2994
def
cons
nil
cons
cons
108
ref
subst
nil
164
ref
1285
ref
40
ref
2512
ref
1286
ref
appTerm
2995
def
appTerm
2507
ref
appTerm
2996
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
2996
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
2995
ref
nil
cons
2997
def
cons
2994
ref
cons
nil
cons
cons
2998
def
57
ref
subst
2998
remove
129
ref
subst
2995
ref
betaConv
2995
remove
assume
eqMp
nil
35
ref
1633
ref
cons
2994
ref
cons
nil
cons
cons
2999
def
108
ref
subst
proveHyp
2999
ref
57
ref
subst
2999
remove
129
ref
subst
1636
remove
1637
remove
1638
remove
nil
1643
remove
2994
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
1645
remove
2507
ref
appTerm
3000
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
3000
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
1648
remove
2994
ref
cons
nil
cons
cons
3001
def
57
ref
subst
3001
remove
129
ref
subst
1650
remove
nil
1652
remove
2994
ref
cons
nil
cons
cons
3002
def
108
ref
subst
proveHyp
3002
ref
57
ref
subst
3002
remove
129
ref
subst
1658
remove
nil
1660
remove
2994
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
443
ref
1665
remove
2507
ref
appTerm
absTerm
3003
def
445
ref
appTerm
3004
def
betaConv
852
ref
155
ref
3003
ref
appTerm
3005
def
absTerm
3006
def
853
ref
appTerm
3007
def
betaConv
3008
def
468
ref
443
ref
286
ref
1686
remove
appThm
2507
ref
refl
3009
def
appThm
absThm
appThm
sym
nil
164
ref
443
ref
1754
ref
2507
ref
appTerm
3010
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3010
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
1753
ref
2994
ref
cons
nil
cons
cons
3011
def
57
ref
subst
3011
remove
129
ref
subst
239
ref
2506
ref
1698
remove
appThm
appThm
1590
ref
appThm
sym
3012
def
239
ref
2506
ref
1707
remove
appThm
appThm
1590
ref
appThm
sym
3013
def
239
ref
2506
ref
1713
remove
appThm
appThm
1590
ref
appThm
sym
4
ref
1754
ref
15
ref
27
ref
1942
remove
appTerm
appTerm
609
ref
21
ref
448
ref
appTerm
451
ref
appTerm
3014
def
19
ref
appTerm
3015
def
appTerm
appTerm
3016
def
appTerm
3017
def
absTerm
3018
def
6
ref
appTerm
3019
def
betaConv
nil
112
ref
3018
ref
nil
cons
cons
3020
def
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
3017
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1756
remove
3016
ref
refl
appThm
sym
4
ref
1762
ref
3016
remove
appTerm
absTerm
3021
def
19
ref
appTerm
3022
def
betaConv
175
ref
33
ref
3021
ref
appTerm
3023
def
absTerm
3024
def
181
ref
appTerm
3025
def
betaConv
3026
def
443
ref
155
ref
3024
ref
appTerm
3027
def
absTerm
3028
def
445
ref
appTerm
3029
def
betaConv
3030
def
nil
164
ref
175
ref
33
ref
4
ref
40
ref
1962
remove
appTerm
15
ref
27
ref
1964
remove
appTerm
appTerm
609
ref
21
ref
1957
ref
appTerm
677
ref
appTerm
3031
def
19
ref
appTerm
appTerm
appTerm
appTerm
3032
def
absTerm
3033
def
appTerm
3034
def
absTerm
3035
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
3034
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3033
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
3032
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
1247
ref
625
ref
2458
ref
appThm
680
ref
appThm
253
ref
trans
appThm
appThm
239
ref
2506
ref
2124
ref
2458
ref
appThm
680
ref
appThm
appThm
appThm
609
ref
refl
3036
def
21
ref
refl
3037
def
2458
ref
appThm
680
ref
appThm
3038
def
1970
ref
appThm
appThm
appThm
appThm
sym
286
ref
nil
726
ref
487
ref
cons
nil
cons
cons
175
ref
851
remove
491
remove
appTerm
3039
def
absTerm
3040
def
181
ref
appTerm
3041
def
betaConv
240
ref
155
ref
3040
ref
appTerm
3042
def
absTerm
3043
def
242
ref
appTerm
3044
def
betaConv
468
ref
240
ref
468
ref
175
ref
3039
remove
assume
sym
493
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
500
remove
eqMp
nil
35
ref
155
ref
3043
ref
appTerm
nil
cons
cons
36
ref
3044
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3043
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3042
remove
nil
cons
cons
36
ref
3041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3040
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
529
remove
refl
266
ref
appThm
nil
176
ref
487
remove
cons
nil
cons
cons
3045
def
558
ref
subst
767
ref
240
ref
39
ref
550
remove
25
ref
appTerm
appTerm
417
remove
appTerm
absTerm
3046
def
242
ref
appTerm
3047
def
betaConv
nil
155
ref
3046
ref
appTerm
3048
def
axiom
nil
35
ref
3048
remove
nil
cons
cons
36
ref
3047
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3046
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
trans
trans
appThm
239
ref
3037
ref
266
ref
appThm
268
ref
appThm
3049
def
2124
remove
266
ref
appThm
268
remove
appThm
appThm
appThm
3036
ref
3049
ref
1970
ref
appThm
appThm
appThm
appThm
sym
nil
2466
ref
36
ref
15
ref
21
ref
327
ref
appTerm
25
ref
appTerm
3050
def
355
ref
327
ref
appTerm
25
ref
appTerm
appTerm
appTerm
609
ref
3050
ref
19
ref
appTerm
3051
def
appTerm
appTerm
nil
cons
3052
def
cons
nil
cons
cons
nil
cons
cons
3053
def
57
ref
subst
3053
remove
129
ref
subst
39
ref
"_32180"
11
ref
var
3054
def
15
ref
3050
ref
354
ref
3054
remove
varTerm
3055
def
appTerm
327
ref
appTerm
25
ref
appTerm
appTerm
appTerm
210
ref
3055
remove
appTerm
3051
ref
appTerm
appTerm
absTerm
3056
def
181
ref
appTerm
3057
def
appTerm
refl
3056
ref
25
ref
appTerm
betaConv
appThm
87
ref
3057
remove
betaConv
appThm
15
ref
3050
ref
354
ref
25
ref
appTerm
327
ref
appTerm
25
ref
appTerm
appTerm
appTerm
730
ref
3051
ref
appTerm
3058
def
appTerm
refl
appThm
trans
3056
remove
refl
2468
ref
appThm
eqMp
sym
239
ref
3050
ref
refl
3059
def
nil
144
remove
353
remove
177
remove
cons
cons
nil
cons
cons
382
remove
subst
appThm
appThm
3058
remove
refl
appThm
sym
239
ref
3059
remove
nil
384
remove
385
remove
362
ref
388
remove
appTerm
25
ref
appTerm
389
ref
appTerm
appTerm
368
remove
25
ref
appTerm
25
ref
appTerm
389
remove
appTerm
appTerm
nil
cons
cons
392
remove
114
ref
cons
393
ref
cons
cons
nil
cons
cons
404
remove
subst
appThm
appThm
nil
175
ref
3051
remove
nil
cons
3060
def
cons
nil
cons
nil
cons
cons
734
ref
subst
appThm
nil
165
ref
3060
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
eqMp
nil
2469
ref
85
ref
3052
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3035
remove
appTerm
3061
def
nil
cons
cons
36
ref
155
ref
443
ref
40
ref
3027
ref
appTerm
155
ref
175
ref
33
ref
4
ref
40
ref
2102
remove
appTerm
15
ref
27
ref
2103
remove
appTerm
appTerm
609
ref
21
ref
2101
ref
appTerm
597
ref
appTerm
3062
def
19
ref
appTerm
appTerm
appTerm
appTerm
3063
def
absTerm
3064
def
appTerm
3065
def
absTerm
3066
def
appTerm
3067
def
appTerm
3068
def
absTerm
3069
def
appTerm
3070
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
3069
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3068
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3027
remove
nil
cons
3071
def
cons
3072
def
36
ref
3067
remove
nil
cons
3073
def
cons
nil
cons
cons
nil
cons
cons
3074
def
57
ref
subst
3074
remove
129
ref
subst
nil
164
ref
3066
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
3065
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3064
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
3063
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
2123
remove
appThm
239
ref
2506
ref
2125
remove
appThm
appThm
3036
ref
3037
ref
2120
remove
appThm
2122
ref
appThm
1970
ref
appThm
appThm
appThm
appThm
sym
286
ref
2126
remove
appThm
239
ref
2506
ref
2127
remove
appThm
appThm
3036
ref
3037
ref
638
remove
appThm
636
ref
appThm
1970
remove
appThm
appThm
appThm
appThm
sym
nil
35
ref
2171
remove
cons
3075
def
36
ref
15
ref
27
ref
355
remove
703
ref
appTerm
448
ref
appTerm
appTerm
appTerm
609
ref
21
ref
703
ref
appTerm
448
ref
appTerm
19
ref
appTerm
3076
def
appTerm
3077
def
appTerm
nil
cons
3078
def
cons
nil
cons
cons
nil
cons
cons
3079
def
57
ref
subst
3079
remove
129
ref
subst
239
ref
2506
ref
2139
remove
appThm
appThm
3077
ref
refl
3080
def
appThm
sym
2141
remove
39
ref
"_32182"
1
ref
var
3081
def
15
ref
27
ref
199
ref
3081
remove
varTerm
appTerm
19
ref
appTerm
2151
ref
appTerm
appTerm
appTerm
3077
ref
appTerm
absTerm
3082
def
697
remove
appTerm
3083
def
appTerm
refl
3082
ref
277
ref
appTerm
betaConv
appThm
87
ref
3083
remove
betaConv
appThm
15
ref
27
ref
2154
remove
appTerm
appTerm
3077
ref
appTerm
refl
appThm
trans
3082
remove
refl
2155
remove
appThm
eqMp
sym
239
ref
2506
ref
2157
remove
appThm
appThm
3080
ref
appThm
sym
87
ref
"_32184"
3
ref
var
3084
def
15
ref
27
ref
3084
remove
varTerm
appTerm
appTerm
3077
ref
appTerm
absTerm
3085
def
2151
remove
appTerm
betaConv
appThm
465
ref
2177
remove
3085
ref
2148
ref
appTerm
betaConv
appThm
appThm
2180
remove
3085
ref
2150
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1722
ref
2150
ref
nil
cons
cons
1723
ref
2148
ref
nil
cons
cons
2184
remove
cons
cons
nil
cons
cons
nil
1725
ref
3085
remove
nil
cons
cons
nil
cons
nil
cons
cons
1743
ref
subst
subst
eqMp
sym
nil
2185
remove
36
ref
15
ref
27
ref
2148
remove
appTerm
appTerm
3077
ref
appTerm
3086
def
nil
cons
3087
def
cons
nil
cons
cons
nil
cons
cons
3088
def
57
ref
subst
3088
remove
129
ref
subst
239
ref
2506
ref
2159
remove
appThm
appThm
3080
ref
appThm
sym
4
ref
40
ref
2195
remove
appTerm
3089
def
15
ref
27
ref
354
remove
2145
ref
appTerm
448
ref
appTerm
451
ref
appTerm
appTerm
appTerm
210
ref
2145
ref
appTerm
3090
def
3015
remove
appTerm
appTerm
appTerm
absTerm
3091
def
361
ref
appTerm
3092
def
betaConv
3024
ref
2145
remove
appTerm
3093
def
betaConv
nil
3072
ref
36
ref
3093
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
3024
remove
nil
cons
cons
3094
def
165
ref
2243
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
33
ref
3091
ref
appTerm
nil
cons
cons
36
ref
3092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3091
remove
nil
cons
cons
113
ref
2244
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3089
remove
15
ref
27
ref
2162
remove
appTerm
appTerm
3095
def
3090
remove
3014
ref
361
remove
appTerm
3096
def
appTerm
appTerm
appTerm
3097
def
nil
cons
cons
36
ref
3095
remove
3077
ref
appTerm
3098
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
3075
remove
36
ref
40
ref
3097
remove
appTerm
3098
remove
appTerm
3099
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
2200
remove
nil
2205
remove
36
ref
40
ref
2131
remove
appTerm
3099
remove
appTerm
3100
def
nil
cons
3101
def
cons
nil
cons
3102
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
2209
remove
3100
ref
appTerm
3103
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
3103
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
2212
remove
3102
ref
cons
nil
cons
cons
3104
def
57
ref
subst
3104
remove
129
ref
subst
2214
remove
nil
2216
remove
3102
remove
cons
nil
cons
cons
3105
def
108
ref
subst
proveHyp
3105
ref
57
ref
subst
3105
remove
129
ref
subst
39
ref
"_32190"
11
ref
var
3106
def
40
ref
200
ref
3106
remove
varTerm
3107
def
appTerm
2130
remove
appTerm
appTerm
40
ref
40
ref
200
ref
363
remove
3107
ref
appTerm
703
ref
appTerm
3108
def
appTerm
703
ref
appTerm
appTerm
15
ref
27
ref
362
ref
3108
ref
appTerm
448
ref
appTerm
451
ref
appTerm
appTerm
appTerm
3109
def
210
ref
3108
remove
appTerm
3096
ref
appTerm
appTerm
appTerm
appTerm
3109
remove
210
ref
3107
remove
appTerm
3076
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3110
def
181
ref
appTerm
3111
def
appTerm
refl
3110
ref
2201
ref
appTerm
betaConv
appThm
87
ref
3111
remove
betaConv
appThm
40
ref
2232
remove
appTerm
40
ref
40
ref
2222
remove
703
ref
appTerm
appTerm
15
ref
27
ref
362
ref
2221
ref
appTerm
448
ref
appTerm
451
ref
appTerm
appTerm
appTerm
3112
def
210
ref
2221
remove
appTerm
3096
ref
appTerm
appTerm
appTerm
appTerm
3112
remove
210
ref
2201
ref
appTerm
3076
ref
appTerm
3113
def
appTerm
appTerm
appTerm
refl
appThm
trans
3110
remove
refl
2223
remove
appThm
eqMp
sym
2235
remove
286
ref
286
ref
2227
remove
703
ref
refl
appThm
appThm
239
ref
2506
ref
362
ref
refl
2226
ref
appThm
2228
ref
appThm
637
ref
appThm
appThm
appThm
3114
def
625
ref
2226
remove
appThm
3096
ref
refl
appThm
appThm
appThm
appThm
3114
remove
3113
ref
refl
3115
def
appThm
appThm
appThm
sym
nil
35
ref
2234
ref
cons
36
ref
40
ref
40
ref
1827
ref
703
ref
appTerm
3116
def
appTerm
15
ref
27
ref
362
remove
853
ref
appTerm
448
ref
appTerm
451
ref
appTerm
appTerm
3117
def
appTerm
3118
def
1498
ref
3096
remove
appTerm
3119
def
appTerm
3120
def
appTerm
appTerm
3118
remove
3113
ref
appTerm
3121
def
appTerm
nil
cons
3122
def
cons
nil
cons
3123
def
cons
nil
cons
cons
3124
def
57
ref
subst
3124
remove
129
ref
subst
175
ref
46
ref
1827
remove
181
ref
appTerm
appTerm
503
ref
703
ref
appTerm
appTerm
absTerm
3125
def
448
ref
appTerm
betaConv
sym
465
ref
2236
remove
77
ref
subst
2233
remove
assume
eqMp
appThm
717
remove
1609
ref
subst
appThm
782
ref
trans
sym
76
ref
eqMp
eqMp
163
ref
164
ref
3125
ref
nil
cons
cons
657
remove
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
3125
remove
appTerm
nil
cons
cons
36
ref
3116
ref
nil
cons
3126
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
2138
remove
cons
240
ref
862
remove
cons
nil
cons
3127
def
cons
nil
cons
cons
2438
ref
subst
eqMp
nil
35
ref
3126
remove
cons
3128
def
36
ref
40
ref
3120
ref
appTerm
3121
ref
appTerm
3129
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
3120
ref
nil
cons
3130
def
cons
36
ref
3121
remove
nil
cons
3131
def
cons
nil
cons
cons
nil
cons
cons
3132
def
57
ref
subst
3132
remove
129
ref
subst
39
ref
"_32192"
11
ref
var
3133
def
15
ref
3133
remove
varTerm
appTerm
3113
ref
appTerm
absTerm
3134
def
3117
remove
appTerm
3135
def
appTerm
refl
3134
ref
3119
ref
appTerm
betaConv
appThm
87
ref
3135
remove
betaConv
appThm
15
ref
3119
remove
appTerm
3113
remove
appTerm
refl
appThm
trans
3134
remove
refl
3120
remove
assume
appThm
eqMp
sym
239
ref
1498
ref
refl
nil
1995
ref
1841
ref
1696
ref
cons
cons
nil
cons
cons
1838
ref
15
ref
151
remove
1881
ref
appTerm
appTerm
195
ref
175
ref
196
remove
10
ref
1
ref
209
ref
nil
cons
cons
opType
constTerm
3136
def
1878
ref
appTerm
3137
def
210
ref
202
ref
appTerm
181
ref
appTerm
3138
def
appTerm
181
ref
appTerm
absTerm
3139
def
21
ref
202
ref
appTerm
3140
def
149
ref
appTerm
1880
ref
appTerm
appTerm
absTerm
212
remove
appTerm
appTerm
absTerm
3141
def
1880
ref
appTerm
3142
def
betaConv
1840
ref
33
ref
3141
ref
appTerm
3143
def
absTerm
3144
def
1878
ref
appTerm
3145
def
betaConv
142
ref
315
ref
3144
ref
appTerm
3146
def
absTerm
3147
def
150
ref
appTerm
3148
def
betaConv
145
ref
155
ref
3147
ref
appTerm
3149
def
absTerm
3150
def
149
ref
appTerm
3151
def
betaConv
nil
155
ref
3150
ref
appTerm
3152
def
axiom
3153
def
nil
35
ref
3152
ref
nil
cons
3154
def
cons
36
ref
3151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3150
remove
nil
cons
cons
167
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3149
remove
nil
cons
cons
36
ref
3148
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3147
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3146
remove
nil
cons
cons
36
ref
3145
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3144
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3143
remove
nil
cons
cons
36
ref
3142
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3141
remove
nil
cons
cons
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3155
def
subst
195
ref
175
ref
3136
ref
62
ref
appTerm
3156
def
3138
ref
appTerm
181
ref
appTerm
absTerm
3157
def
3140
ref
448
ref
appTerm
3158
def
19
ref
appTerm
3159
def
appTerm
absTerm
703
ref
appTerm
betaConv
175
ref
3156
ref
2129
ref
181
ref
appTerm
3160
def
appTerm
181
ref
appTerm
absTerm
3076
ref
appTerm
betaConv
nil
"t2"
11
ref
var
3161
def
3076
ref
nil
cons
3162
def
cons
"t1"
11
ref
var
3163
def
2129
remove
3076
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3164
def
411
ref
349
remove
subst
3165
def
subst
trans
trans
trans
appThm
appThm
3115
ref
appThm
sym
239
ref
nil
142
ref
3162
remove
cons
3166
def
2312
remove
3127
ref
cons
3167
def
cons
nil
cons
cons
2559
ref
150
ref
appTerm
3168
def
betaConv
2561
ref
181
ref
appTerm
3169
def
betaConv
2563
remove
242
ref
appTerm
3170
def
betaConv
2565
remove
nil
2567
remove
36
ref
3170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2747
remove
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2562
remove
nil
cons
cons
36
ref
3169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2561
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
2560
remove
nil
cons
cons
36
ref
3168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
2559
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3171
def
subst
625
ref
nil
641
remove
640
ref
3127
remove
cons
cons
nil
cons
cons
3172
def
3171
ref
subst
appThm
3076
ref
refl
appThm
trans
appThm
3115
remove
appThm
nil
175
ref
2201
ref
nil
cons
cons
3166
remove
240
ref
210
ref
1498
remove
448
ref
appTerm
appTerm
451
ref
appTerm
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
656
ref
subst
trans
sym
239
ref
3172
remove
2991
ref
subst
appThm
2201
remove
refl
appThm
sym
nil
3167
remove
nil
cons
cons
1480
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3130
ref
cons
85
ref
3131
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
46
ref
3116
remove
appTerm
3129
remove
appTerm
nil
cons
cons
3123
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
996
ref
3131
remove
cons
36
ref
3130
remove
cons
3128
remove
nil
cons
cons
cons
nil
cons
cons
nil
35
ref
47
remove
1003
ref
appTerm
nil
cons
3173
def
cons
36
ref
40
ref
44
ref
appTerm
3174
def
997
remove
appTerm
nil
cons
3175
def
cons
nil
cons
cons
nil
cons
cons
3176
def
57
ref
subst
3176
remove
129
ref
subst
nil
296
ref
36
ref
1675
ref
cons
nil
cons
3177
def
cons
nil
cons
cons
3178
def
57
ref
subst
3178
remove
129
ref
subst
nil
84
remove
85
ref
1003
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3179
def
99
ref
subst
108
ref
proveHyp
101
remove
eqMp
nil
290
ref
3177
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
3179
remove
305
ref
subst
eqMp
eqMp
nil
302
ref
85
ref
1675
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
3173
remove
cons
85
ref
3175
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
3180
def
subst
eqMp
eqMp
nil
83
ref
2234
remove
cons
85
ref
3122
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
2237
remove
85
ref
3101
remove
cons
nil
cons
3181
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2239
remove
3181
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
2240
remove
3100
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
2241
remove
3100
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2242
remove
3181
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2250
remove
85
ref
3087
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
2176
remove
3086
remove
appTerm
nil
cons
cons
36
ref
2179
remove
15
ref
27
ref
2150
remove
appTerm
appTerm
3077
ref
appTerm
3182
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2253
remove
36
ref
3182
remove
nil
cons
3183
def
cons
nil
cons
cons
nil
cons
cons
3184
def
57
ref
subst
3184
remove
129
ref
subst
239
ref
2506
ref
2160
remove
appThm
appThm
3080
remove
appThm
sym
3021
ref
367
ref
appTerm
3185
def
betaConv
3026
remove
nil
3072
remove
36
ref
3025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
3186
def
163
ref
3094
remove
192
ref
cons
nil
cons
cons
140
ref
subst
3187
def
eqMp
eqMp
nil
35
ref
3023
remove
nil
cons
cons
3188
def
36
ref
3185
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3021
remove
nil
cons
cons
3189
def
113
ref
2283
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1762
remove
15
ref
27
ref
2163
remove
appTerm
3190
def
appTerm
3191
def
609
ref
3014
ref
367
remove
appTerm
appTerm
3192
def
appTerm
3193
def
appTerm
3194
def
nil
cons
cons
36
ref
3191
remove
3077
ref
appTerm
3195
def
nil
cons
3196
def
cons
nil
cons
3197
def
cons
nil
cons
cons
108
ref
subst
proveHyp
2274
remove
sym
76
ref
eqMp
nil
35
ref
2310
remove
cons
3198
def
36
ref
40
ref
3193
ref
appTerm
3195
ref
appTerm
3199
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
3193
ref
nil
cons
3200
def
cons
3197
remove
cons
nil
cons
cons
3201
def
57
ref
subst
3201
remove
129
ref
subst
39
ref
"_32194"
11
ref
var
3202
def
15
ref
3202
remove
varTerm
appTerm
3077
ref
appTerm
absTerm
3203
def
3190
remove
appTerm
3204
def
appTerm
refl
3203
ref
3192
ref
appTerm
betaConv
appThm
87
ref
3204
remove
betaConv
appThm
15
ref
3192
remove
appTerm
3077
remove
appTerm
refl
appThm
trans
3203
remove
refl
3193
remove
assume
appThm
eqMp
sym
3036
ref
nil
1995
remove
2257
ref
1696
ref
cons
cons
nil
cons
cons
3155
ref
subst
195
ref
175
ref
3136
ref
277
ref
appTerm
3205
def
3138
ref
appTerm
181
ref
appTerm
absTerm
3206
def
3159
remove
appTerm
absTerm
703
remove
appTerm
betaConv
175
ref
3205
ref
3160
remove
appTerm
181
ref
appTerm
absTerm
3076
remove
appTerm
betaConv
3164
remove
411
ref
2046
remove
subst
3207
def
subst
trans
trans
trans
appThm
eqMp
eqMp
nil
83
ref
3200
ref
cons
85
ref
3196
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
1944
remove
3199
remove
appTerm
nil
cons
cons
36
ref
40
ref
3194
remove
appTerm
3195
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
996
ref
3196
remove
cons
36
ref
3200
remove
cons
3198
remove
nil
cons
cons
cons
nil
cons
cons
3180
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2306
remove
85
ref
3183
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
2172
remove
85
ref
3078
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
3071
remove
cons
85
ref
3073
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3061
remove
appTerm
3070
remove
appTerm
nil
cons
cons
36
ref
155
ref
3028
ref
appTerm
nil
cons
3208
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3028
ref
25
ref
appTerm
betaConv
appThm
468
ref
443
ref
286
ref
3030
ref
appThm
3028
ref
544
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
443
ref
3030
remove
absThm
appThm
appThm
nil
471
ref
3028
remove
nil
cons
3209
def
cons
nil
cons
nil
cons
cons
778
ref
subst
eqMp
eqMp
nil
35
ref
3208
remove
cons
36
ref
3029
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3209
remove
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3186
remove
proveHyp
3187
remove
eqMp
eqMp
nil
3188
remove
36
ref
3022
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
3189
remove
115
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
3018
remove
appTerm
nil
cons
cons
36
ref
3019
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
3020
remove
113
ref
7
remove
cons
nil
cons
3210
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
1754
ref
15
ref
27
ref
1699
ref
appTerm
3211
def
appTerm
3212
def
609
ref
3014
ref
6
ref
appTerm
3213
def
appTerm
3214
def
appTerm
3215
def
appTerm
nil
cons
cons
36
ref
3212
remove
181
ref
appTerm
3216
def
nil
cons
3217
def
cons
nil
cons
3218
def
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
1709
remove
appThm
3215
ref
refl
appThm
nil
70
ref
3215
ref
nil
cons
3219
def
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
3216
ref
refl
appThm
sym
nil
35
ref
3219
ref
cons
3218
ref
cons
nil
cons
cons
3220
def
57
ref
subst
3220
remove
129
ref
subst
39
ref
"_32200"
11
ref
var
3221
def
15
ref
3221
remove
varTerm
appTerm
181
ref
appTerm
absTerm
3222
def
3211
remove
appTerm
3223
def
appTerm
refl
3222
ref
3214
ref
appTerm
betaConv
appThm
87
ref
3223
remove
betaConv
appThm
15
ref
3214
remove
appTerm
181
ref
appTerm
refl
appThm
trans
3222
remove
refl
3215
remove
assume
appThm
eqMp
sym
3036
remove
1697
ref
170
ref
subst
3224
def
appThm
767
ref
252
ref
subst
trans
eqMp
eqMp
nil
83
ref
3219
remove
cons
85
ref
3217
remove
cons
nil
cons
3225
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
3226
def
eqMp
eqMp
eqMp
eqMp
nil
83
ref
1693
ref
cons
3227
def
85
ref
2511
remove
cons
nil
cons
3228
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
155
ref
443
ref
40
ref
2334
remove
appTerm
2507
ref
appTerm
absTerm
appTerm
3229
def
nil
cons
cons
36
ref
155
ref
852
ref
40
ref
3005
ref
appTerm
155
ref
443
ref
40
ref
2337
remove
appTerm
2507
ref
appTerm
absTerm
appTerm
3230
def
appTerm
3231
def
absTerm
3232
def
appTerm
3233
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
3232
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
ref
nil
70
ref
3231
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3005
remove
nil
cons
3234
def
cons
3235
def
36
ref
3230
remove
nil
cons
3236
def
cons
nil
cons
cons
nil
cons
cons
3237
def
57
ref
subst
3237
remove
129
ref
subst
468
ref
443
ref
286
ref
1247
ref
626
ref
2344
remove
1685
ref
appThm
nil
728
remove
1592
remove
cons
nil
cons
cons
765
ref
subst
3238
def
trans
appThm
appThm
appThm
3009
remove
appThm
absThm
appThm
sym
nil
164
ref
443
ref
40
ref
201
ref
444
ref
254
ref
1579
remove
appTerm
appTerm
appTerm
3239
def
appTerm
2507
ref
appTerm
3240
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3240
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3239
ref
nil
cons
3241
def
cons
2994
remove
cons
nil
cons
cons
3242
def
57
ref
subst
3242
remove
129
ref
subst
3012
remove
3013
remove
239
ref
2506
ref
1708
remove
appThm
appThm
1590
ref
appThm
sym
87
ref
"_32202"
3
ref
var
3243
def
15
ref
27
ref
3243
remove
varTerm
appTerm
appTerm
181
ref
appTerm
absTerm
3244
def
199
remove
1687
ref
appTerm
1699
ref
appTerm
1710
ref
appTerm
appTerm
betaConv
appThm
465
ref
1754
ref
refl
3244
ref
1699
remove
appTerm
betaConv
appThm
appThm
40
ref
230
ref
1687
remove
appTerm
3245
def
appTerm
3246
def
refl
3244
ref
1710
ref
appTerm
betaConv
appThm
appThm
appThm
nil
1722
remove
1711
remove
cons
1723
remove
1712
remove
cons
1724
remove
1693
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
1725
remove
3244
remove
nil
cons
cons
nil
cons
nil
cons
cons
1743
remove
subst
subst
eqMp
sym
nil
1753
remove
3218
remove
cons
nil
cons
cons
3247
def
57
ref
subst
3247
remove
129
ref
subst
3226
remove
eqMp
nil
3227
remove
3225
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
1754
remove
3216
remove
appTerm
nil
cons
cons
36
ref
3246
remove
15
ref
27
ref
1710
remove
appTerm
appTerm
181
ref
appTerm
3248
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
3245
remove
nil
cons
3249
def
cons
36
ref
3248
ref
nil
cons
3250
def
cons
nil
cons
3251
def
cons
nil
cons
cons
3252
def
57
ref
subst
3252
remove
129
ref
subst
3003
ref
544
ref
appTerm
3253
def
betaConv
nil
3235
ref
36
ref
3253
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
3003
remove
nil
cons
cons
3254
def
165
ref
669
ref
cons
nil
cons
3255
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
40
ref
201
ref
444
ref
210
ref
2445
remove
appTerm
602
ref
appTerm
appTerm
appTerm
3256
def
appTerm
15
ref
27
ref
186
remove
2101
remove
appTerm
597
ref
appTerm
appTerm
appTerm
181
ref
appTerm
3257
def
appTerm
3258
def
nil
cons
cons
3251
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
1247
remove
626
ref
625
ref
1588
remove
appThm
1685
ref
appThm
3238
remove
trans
appThm
appThm
nil
70
ref
3241
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
3239
remove
assume
eqMp
trans
sym
76
ref
eqMp
nil
35
ref
3256
ref
nil
cons
cons
3259
def
36
ref
40
ref
3257
ref
appTerm
3248
ref
appTerm
3260
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
286
ref
239
ref
3049
ref
2341
ref
2119
ref
appThm
2122
ref
appThm
appThm
appThm
1590
ref
appThm
appThm
239
ref
3049
ref
2341
remove
626
ref
592
ref
appThm
3261
def
appThm
2342
ref
appThm
appThm
appThm
1590
ref
appThm
appThm
nil
70
ref
15
ref
3050
ref
2379
remove
appTerm
appTerm
181
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
nil
35
ref
46
ref
3256
remove
appTerm
3260
remove
appTerm
nil
cons
cons
36
ref
40
ref
3258
remove
appTerm
3248
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
996
remove
3250
ref
cons
36
ref
3257
remove
nil
cons
cons
3259
remove
nil
cons
cons
cons
nil
cons
cons
3180
remove
subst
eqMp
eqMp
eqMp
nil
83
ref
3249
remove
cons
85
ref
3250
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3241
remove
cons
3228
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
83
ref
3234
remove
cons
85
ref
3236
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3229
remove
appTerm
3233
remove
appTerm
nil
cons
cons
36
ref
155
ref
3006
ref
appTerm
nil
cons
3262
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3006
ref
25
ref
appTerm
betaConv
appThm
468
ref
852
ref
286
ref
3008
ref
appThm
3006
ref
854
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
852
ref
3008
remove
absThm
appThm
appThm
nil
471
ref
3006
remove
nil
cons
3263
def
cons
nil
cons
nil
cons
cons
778
ref
subst
eqMp
eqMp
nil
35
ref
3262
remove
cons
36
ref
3007
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3263
remove
cons
2450
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
3235
remove
36
ref
3004
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3254
remove
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
2451
remove
3228
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2452
remove
3228
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
2453
remove
2507
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
2454
remove
2507
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2455
remove
3228
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
1633
remove
cons
3228
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
2997
remove
cons
3228
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
2512
remove
1157
ref
appTerm
appTerm
2507
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
2513
remove
appTerm
2507
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2992
remove
3228
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
eqMp
absThm
eqMp
nil
35
ref
155
ref
2508
remove
appTerm
nil
cons
cons
36
ref
2509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
2510
remove
393
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
15
ref
27
ref
2456
remove
appTerm
appTerm
181
ref
appTerm
nil
cons
cons
36
ref
15
ref
27
ref
187
ref
appTerm
appTerm
181
ref
appTerm
3264
def
nil
cons
3265
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
239
ref
2506
remove
2459
remove
appThm
appThm
1590
ref
appThm
appThm
3264
remove
refl
appThm
nil
70
ref
3265
remove
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
3266
def
eqMp
absThm
eqMp
3267
def
nil
155
ref
2504
remove
appTerm
thm
1183
remove
nil
1179
remove
thm
239
ref
626
ref
572
ref
appThm
nil
443
ref
143
ref
cons
3268
def
nil
cons
nil
cons
cons
659
ref
subst
210
ref
444
ref
327
ref
appTerm
3269
def
appTerm
refl
680
ref
appThm
nil
240
ref
3269
remove
nil
cons
3270
def
cons
nil
cons
nil
cons
cons
252
ref
subst
trans
trans
trans
appThm
266
ref
appThm
sym
239
ref
626
ref
791
ref
appThm
692
ref
trans
appThm
791
remove
appThm
nil
165
ref
146
ref
cons
nil
cons
nil
cons
cons
595
ref
subst
3271
def
trans
sym
76
ref
eqMp
eqMp
3272
def
nil
15
ref
444
ref
602
ref
appTerm
appTerm
26
ref
appTerm
thm
468
ref
175
ref
239
ref
"Data.Stream.nth"
const
3273
def
10
ref
"Data.Stream.stream"
typeOp
3274
def
16
ref
opType
3275
def
208
remove
cons
opType
constTerm
3276
def
refl
nil
9
ref
10
ref
3275
ref
10
ref
3275
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
"Number.Natural.Fibonacci.all"
const
3275
ref
constTerm
3277
def
appTerm
3278
def
"Data.Stream.fromFunction"
const
3279
def
10
ref
23
ref
3275
ref
nil
cons
3280
def
cons
opType
constTerm
444
ref
appTerm
appTerm
axiom
appThm
nil
"f"
23
remove
var
444
ref
nil
cons
cons
nil
cons
nil
cons
cons
411
ref
"f"
10
ref
11
ref
334
ref
cons
opType
3281
def
var
3282
def
9
ref
10
ref
3281
ref
10
ref
3281
ref
2
ref
cons
opType
3283
def
nil
cons
cons
opType
constTerm
3273
remove
10
ref
3274
remove
334
ref
opType
3284
def
3281
ref
nil
cons
3285
def
cons
opType
constTerm
3286
def
3279
remove
10
ref
3281
ref
3284
ref
nil
cons
3287
def
cons
opType
constTerm
3282
ref
varTerm
3288
def
appTerm
appTerm
appTerm
3288
ref
appTerm
absTerm
3289
def
3288
ref
appTerm
3290
def
betaConv
nil
30
ref
10
ref
3283
ref
2
ref
cons
opType
3291
def
constTerm
3292
def
3289
ref
appTerm
3293
def
axiom
nil
35
ref
3293
remove
nil
cons
cons
36
ref
3290
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
3285
ref
cons
nil
cons
"P"
3283
remove
var
3289
remove
nil
cons
cons
"x"
3281
ref
var
3288
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
trans
1590
remove
appThm
3294
def
appThm
3295
def
615
ref
refl
appThm
nil
165
ref
615
ref
nil
cons
3296
def
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
absThm
appThm
743
ref
trans
sym
76
ref
eqMp
nil
155
ref
175
ref
15
ref
3276
ref
3277
ref
appTerm
3297
def
181
ref
appTerm
appTerm
3298
def
615
ref
appTerm
absTerm
appTerm
thm
nil
"g"
179
ref
var
175
ref
187
remove
absTerm
3299
def
nil
cons
cons
"f"
179
ref
var
180
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
394
remove
2498
remove
subst
subst
468
ref
165
ref
174
ref
nil
175
ref
1157
ref
nil
cons
cons
nil
cons
nil
cons
cons
193
remove
subst
appThm
3299
ref
1157
ref
appTerm
betaConv
appThm
nil
113
ref
185
remove
1157
ref
appTerm
26
ref
appTerm
25
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
330
remove
400
remove
subst
3300
def
subst
trans
absThm
appThm
743
ref
trans
trans
sym
76
ref
eqMp
nil
9
ref
10
ref
179
ref
10
ref
179
remove
2
ref
cons
opType
nil
cons
cons
opType
constTerm
180
ref
appTerm
3299
remove
appTerm
thm
nil
164
ref
175
ref
39
ref
1873
ref
182
remove
appTerm
appTerm
232
ref
appTerm
3301
def
absTerm
3302
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
3301
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
87
ref
2505
remove
695
ref
2058
ref
39
ref
1848
remove
2059
ref
appTerm
appTerm
9
ref
10
ref
1844
ref
2063
remove
cons
opType
constTerm
3303
def
2059
ref
appTerm
1902
ref
appTerm
appTerm
absTerm
3304
def
2059
ref
appTerm
3305
def
betaConv
nil
1862
ref
3304
ref
appTerm
3306
def
axiom
nil
35
ref
3306
remove
nil
cons
cons
36
ref
3305
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
3304
remove
nil
cons
cons
1870
ref
2059
ref
nil
cons
cons
nil
cons
3307
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
3308
def
subst
appThm
232
ref
refl
appThm
sym
nil
35
ref
183
remove
6
ref
appTerm
3309
def
nil
cons
3310
def
cons
36
ref
2465
ref
cons
nil
cons
cons
nil
cons
cons
3311
def
306
ref
subst
3311
ref
57
ref
subst
3311
remove
129
ref
subst
239
ref
175
ref
231
ref
2502
remove
appTerm
3312
def
absTerm
3313
def
181
ref
appTerm
3314
def
betaConv
468
ref
175
ref
3312
remove
assume
sym
2503
remove
assume
sym
deductAntisym
absThm
appThm
3267
remove
eqMp
nil
35
ref
155
ref
3313
ref
appTerm
nil
cons
cons
36
ref
3314
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3313
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3315
def
appThm
178
remove
3315
remove
subst
appThm
sym
239
ref
18
ref
refl
3316
def
3309
ref
assume
appThm
appThm
3316
ref
406
ref
appThm
appThm
nil
165
ref
172
ref
nil
cons
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
3310
ref
cons
85
ref
2465
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
40
ref
3309
ref
appTerm
232
ref
appTerm
nil
cons
cons
36
ref
40
ref
232
remove
appTerm
3309
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
2466
remove
36
ref
3310
ref
cons
nil
cons
cons
nil
cons
cons
3317
def
57
ref
subst
3317
remove
129
ref
subst
39
ref
"_32210"
11
ref
var
3318
def
173
ref
180
ref
3318
remove
varTerm
appTerm
appTerm
6
ref
appTerm
absTerm
3319
def
181
ref
appTerm
3320
def
appTerm
refl
3319
ref
25
ref
appTerm
betaConv
appThm
87
ref
3320
remove
betaConv
appThm
407
remove
refl
appThm
trans
3319
remove
refl
2468
remove
appThm
eqMp
sym
406
remove
eqMp
eqMp
nil
2469
remove
85
ref
3310
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
155
ref
3302
remove
appTerm
thm
1079
remove
nil
1071
remove
thm
nil
112
ref
4
ref
39
ref
1938
ref
appTerm
173
ref
180
remove
20
ref
appTerm
3321
def
appTerm
19
ref
appTerm
3322
def
appTerm
3323
def
absTerm
3324
def
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
3323
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1983
ref
cons
36
ref
3322
ref
nil
cons
3325
def
cons
nil
cons
3326
def
cons
nil
cons
cons
3327
def
306
ref
subst
3327
ref
57
ref
subst
3327
remove
129
ref
subst
465
ref
nil
175
ref
20
ref
nil
cons
3328
def
cons
nil
cons
nil
cons
cons
3329
def
2471
remove
subst
appThm
465
ref
2321
remove
appThm
239
ref
3329
ref
3266
remove
subst
appThm
20
ref
refl
appThm
nil
165
ref
3328
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
appThm
782
ref
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
35
ref
46
ref
408
ref
3321
ref
appTerm
3330
def
appTerm
46
ref
1938
ref
appTerm
15
ref
18
ref
3321
ref
appTerm
appTerm
20
ref
appTerm
appTerm
appTerm
nil
cons
cons
3326
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"l2"
3
ref
var
3331
def
114
remove
cons
"l1"
3
ref
var
3332
def
3321
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
286
ref
46
ref
408
ref
3332
ref
varTerm
3333
def
appTerm
3334
def
appTerm
3335
def
refl
46
ref
408
ref
3331
ref
varTerm
3336
def
appTerm
3337
def
appTerm
3338
def
refl
nil
175
ref
18
ref
3336
ref
appTerm
3339
def
nil
cons
3340
def
cons
3341
def
240
ref
18
ref
3333
ref
appTerm
3342
def
nil
cons
3343
def
cons
3344
def
nil
cons
3345
def
cons
nil
cons
cons
820
ref
subst
465
ref
nil
240
ref
3340
ref
cons
3346
def
175
ref
3343
remove
cons
nil
cons
cons
nil
cons
cons
2319
ref
subst
appThm
nil
3344
remove
3341
remove
nil
cons
cons
nil
cons
cons
2319
ref
subst
appThm
trans
appThm
appThm
appThm
173
ref
3333
ref
appTerm
3347
def
3336
ref
appTerm
3348
def
refl
appThm
sym
nil
35
ref
3335
ref
3338
ref
46
ref
230
ref
200
ref
3339
ref
appTerm
3342
ref
appTerm
3349
def
appTerm
3350
def
appTerm
230
ref
200
ref
3342
ref
appTerm
3351
def
3339
ref
appTerm
3352
def
appTerm
3353
def
appTerm
3354
def
appTerm
3355
def
appTerm
nil
cons
3356
def
cons
36
ref
3348
ref
nil
cons
3357
def
cons
nil
cons
3358
def
cons
nil
cons
cons
3359
def
57
ref
subst
3359
remove
129
ref
subst
nil
83
ref
3334
ref
nil
cons
3360
def
cons
3361
def
85
ref
3355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3362
def
99
ref
subst
3362
remove
305
ref
subst
nil
83
ref
3337
ref
nil
cons
3363
def
cons
3364
def
85
ref
3354
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3365
def
99
ref
subst
3365
remove
305
ref
subst
nil
83
ref
3350
remove
nil
cons
3366
def
cons
85
ref
3353
remove
nil
cons
3367
def
cons
nil
cons
cons
nil
cons
cons
3368
def
99
ref
subst
3368
remove
305
ref
subst
nil
175
ref
"Data.List.length"
const
3369
def
17
remove
constTerm
3370
def
3336
ref
appTerm
3371
def
nil
cons
3372
def
cons
3373
def
240
ref
3370
ref
3333
ref
appTerm
3374
def
nil
cons
3375
def
cons
3376
def
nil
cons
3377
def
cons
nil
cons
cons
3378
def
820
remove
subst
sym
465
ref
nil
240
ref
3372
ref
cons
3379
def
175
ref
3375
remove
cons
nil
cons
3380
def
cons
nil
cons
cons
2319
ref
subst
appThm
nil
3376
remove
3373
remove
nil
cons
3381
def
cons
nil
cons
cons
2319
remove
subst
appThm
sym
nil
83
ref
200
ref
3371
ref
appTerm
3374
ref
appTerm
3382
def
nil
cons
3383
def
cons
3384
def
nil
cons
nil
cons
cons
308
remove
sym
3385
def
subst
nil
35
ref
3383
ref
cons
285
ref
cons
nil
cons
cons
3386
def
57
ref
subst
3386
remove
129
ref
subst
nil
35
ref
3366
ref
cons
285
ref
cons
nil
cons
cons
108
ref
subst
3387
def
nil
70
ref
3366
remove
cons
nil
cons
nil
cons
cons
881
ref
subst
nil
70
ref
3349
remove
nil
cons
3388
def
cons
nil
cons
nil
cons
cons
885
ref
subst
trans
sym
465
ref
nil
70
ref
3363
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
3337
ref
assume
3389
def
eqMp
3390
def
appThm
465
ref
nil
70
ref
3360
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
3334
remove
assume
3391
def
eqMp
3392
def
appThm
nil
70
ref
3383
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
3382
ref
assume
eqMp
appThm
782
ref
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
35
ref
3338
ref
3335
ref
3382
ref
appTerm
appTerm
nil
cons
cons
36
ref
3388
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
3331
ref
3333
ref
nil
cons
3393
def
cons
3332
ref
3336
ref
nil
cons
3394
def
cons
nil
cons
3395
def
cons
nil
cons
cons
nil
35
ref
3335
ref
3338
ref
200
ref
3374
ref
appTerm
3396
def
3371
ref
appTerm
3397
def
appTerm
3398
def
appTerm
3399
def
nil
cons
3400
def
cons
36
ref
3352
ref
nil
cons
3401
def
cons
nil
cons
3402
def
cons
nil
cons
cons
3403
def
57
ref
subst
3403
remove
129
ref
subst
nil
3361
remove
85
ref
3398
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
3404
def
99
ref
subst
3404
remove
305
ref
subst
nil
3364
remove
85
ref
3397
ref
nil
cons
3405
def
cons
nil
cons
cons
nil
cons
cons
3406
def
99
ref
subst
3406
remove
305
ref
subst
175
ref
46
ref
3351
ref
181
ref
appTerm
appTerm
3407
def
503
ref
3339
ref
appTerm
3408
def
appTerm
absTerm
3409
def
444
ref
210
ref
3374
ref
appTerm
3410
def
602
ref
appTerm
3411
def
appTerm
3412
def
appTerm
betaConv
sym
3331
ref
408
ref
"Data.List.@"
const
3413
def
198
remove
constTerm
3414
def
3333
ref
appTerm
3415
def
3336
ref
appTerm
3416
def
appTerm
3417
def
absTerm
3418
def
6
ref
appTerm
betaConv
sym
414
ref
nil
4
ref
3393
ref
cons
nil
cons
nil
cons
cons
3419
def
695
ref
2058
ref
3303
ref
3413
remove
10
ref
1844
ref
1850
remove
cons
opType
constTerm
3420
def
2059
ref
appTerm
1902
ref
appTerm
appTerm
2059
ref
appTerm
absTerm
3421
def
2059
ref
appTerm
3422
def
betaConv
nil
1862
ref
3421
ref
appTerm
3423
def
axiom
nil
35
ref
3423
remove
nil
cons
cons
36
ref
3422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
3421
remove
nil
cons
cons
3307
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
appThm
3392
remove
trans
sym
76
ref
eqMp
eqMp
111
ref
112
ref
3418
ref
nil
cons
cons
3424
def
3210
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
418
ref
32
remove
constTerm
3425
def
3418
ref
appTerm
3426
def
nil
cons
3427
def
cons
3428
def
36
ref
3351
ref
3412
ref
appTerm
3429
def
nil
cons
3430
def
cons
nil
cons
3431
def
cons
nil
cons
cons
3432
def
108
ref
subst
3433
def
proveHyp
3332
ref
40
ref
3426
remove
appTerm
3434
def
3429
ref
appTerm
3435
def
absTerm
3436
def
3333
ref
appTerm
3437
def
betaConv
nil
112
ref
3332
ref
33
ref
3331
ref
40
ref
3417
ref
appTerm
3429
ref
appTerm
3438
def
absTerm
3439
def
appTerm
3440
def
absTerm
3441
def
nil
cons
cons
3442
def
nil
cons
nil
cons
cons
1969
ref
subst
3332
ref
nil
70
ref
3440
remove
nil
cons
3443
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3439
ref
nil
cons
cons
3444
def
nil
cons
nil
cons
cons
1969
ref
subst
3331
ref
nil
70
ref
3438
ref
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
3332
ref
3438
remove
absTerm
3445
def
3333
ref
appTerm
3446
def
betaConv
3447
def
nil
35
ref
408
ref
3414
ref
6
ref
appTerm
3448
def
3336
ref
appTerm
3449
def
appTerm
3450
def
nil
cons
3451
def
cons
36
ref
200
ref
172
ref
appTerm
444
ref
210
ref
3370
ref
6
ref
appTerm
3452
def
appTerm
3453
def
602
ref
appTerm
appTerm
appTerm
3454
def
nil
cons
3455
def
cons
nil
cons
cons
nil
cons
cons
3456
def
57
ref
subst
3456
remove
129
ref
subst
2224
ref
171
remove
appThm
nil
175
ref
3452
ref
nil
cons
3457
def
cons
nil
cons
nil
cons
cons
622
ref
subst
625
ref
626
ref
625
ref
695
ref
nil
15
ref
3369
remove
10
ref
1844
ref
16
ref
cons
opType
constTerm
3458
def
1902
ref
appTerm
appTerm
25
ref
appTerm
axiom
subst
3459
def
appThm
3460
def
1684
ref
appThm
2457
ref
trans
appThm
692
ref
trans
appThm
626
ref
3459
ref
appThm
680
ref
trans
appThm
253
remove
trans
trans
appThm
1683
ref
237
ref
subst
trans
sym
238
ref
1054
remove
appThm
325
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
3451
remove
cons
85
ref
3455
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
40
ref
3450
remove
appTerm
3454
remove
appTerm
3461
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
40
ref
408
ref
3414
ref
1880
ref
appTerm
3462
def
3336
ref
appTerm
3463
def
appTerm
appTerm
200
ref
18
ref
1880
ref
appTerm
3464
def
appTerm
444
ref
210
ref
3370
ref
1880
ref
appTerm
3465
def
appTerm
3466
def
602
ref
appTerm
appTerm
appTerm
appTerm
3467
def
appTerm
40
ref
408
ref
3414
ref
1881
ref
appTerm
3468
def
3336
ref
appTerm
3469
def
appTerm
appTerm
200
ref
18
ref
1881
ref
appTerm
3470
def
appTerm
444
ref
210
ref
3370
ref
1881
ref
appTerm
3471
def
appTerm
3472
def
602
ref
appTerm
appTerm
3473
def
appTerm
3474
def
appTerm
3475
def
appTerm
3476
def
absTerm
3477
def
appTerm
3478
def
absTerm
3479
def
appTerm
3480
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
3479
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3478
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3477
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3476
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3467
remove
nil
cons
3481
def
cons
36
ref
3475
remove
nil
cons
3482
def
cons
nil
cons
cons
nil
cons
cons
3483
def
57
ref
subst
3483
remove
129
ref
subst
286
ref
414
ref
nil
4
ref
3394
ref
cons
nil
cons
nil
cons
cons
3484
def
695
ref
1845
ref
3303
ref
3420
ref
1856
ref
appTerm
2059
ref
appTerm
appTerm
1854
ref
3420
ref
1855
ref
appTerm
2059
ref
appTerm
appTerm
appTerm
absTerm
3485
def
1855
ref
appTerm
3486
def
betaConv
1852
ref
1862
ref
3485
ref
appTerm
3487
def
absTerm
3488
def
1853
ref
appTerm
3489
def
betaConv
2058
ref
119
ref
3488
ref
appTerm
3490
def
absTerm
3491
def
2059
ref
appTerm
3492
def
betaConv
nil
1862
ref
3491
ref
appTerm
3493
def
axiom
nil
35
ref
3493
remove
nil
cons
cons
36
ref
3492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
3491
remove
nil
cons
cons
3307
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3490
remove
nil
cons
cons
36
ref
3489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
3488
remove
nil
cons
cons
1867
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3487
remove
nil
cons
cons
36
ref
3486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
3485
remove
nil
cons
cons
1871
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
3494
def
subst
3495
def
appThm
appThm
3474
ref
refl
appThm
sym
nil
35
ref
408
ref
1879
ref
3463
ref
appTerm
appTerm
3496
def
nil
cons
3497
def
cons
36
ref
3474
remove
nil
cons
3498
def
cons
nil
cons
3499
def
cons
nil
cons
cons
3500
def
57
ref
subst
3500
remove
129
ref
subst
4
ref
40
ref
408
ref
1879
ref
3462
remove
19
ref
appTerm
3501
def
appTerm
appTerm
3502
def
appTerm
3503
def
357
ref
210
ref
444
ref
730
ref
3137
ref
26
ref
appTerm
602
ref
appTerm
3504
def
appTerm
appTerm
appTerm
3031
ref
1881
ref
appTerm
3505
def
appTerm
appTerm
444
ref
210
ref
730
ref
24
remove
26
ref
appTerm
3506
def
appTerm
appTerm
3465
ref
appTerm
appTerm
appTerm
3507
def
appTerm
absTerm
3508
def
3336
ref
appTerm
3509
def
betaConv
1838
ref
33
ref
3508
ref
appTerm
3510
def
absTerm
3511
def
1880
ref
appTerm
3512
def
betaConv
1840
ref
33
ref
3511
ref
appTerm
3513
def
absTerm
3514
def
1878
ref
appTerm
3515
def
betaConv
443
ref
315
ref
1840
ref
33
ref
1838
ref
33
ref
4
ref
3503
ref
357
ref
210
ref
444
ref
446
ref
3504
ref
appTerm
appTerm
appTerm
3014
ref
1881
ref
appTerm
3516
def
appTerm
appTerm
444
ref
210
ref
446
ref
3506
ref
appTerm
appTerm
3465
ref
appTerm
appTerm
appTerm
appTerm
3517
def
absTerm
3518
def
appTerm
3519
def
absTerm
3520
def
appTerm
3521
def
absTerm
3522
def
appTerm
3523
def
absTerm
3524
def
25
ref
appTerm
3525
def
betaConv
nil
164
ref
3524
ref
nil
cons
cons
3526
def
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3523
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3522
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3521
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3520
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3519
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3518
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4
ref
nil
70
ref
3517
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
3503
ref
refl
1410
ref
625
ref
626
ref
564
ref
3137
ref
refl
3527
def
266
ref
appThm
572
ref
appThm
appThm
appThm
appThm
3037
ref
2342
ref
appThm
637
ref
appThm
1881
ref
refl
3528
def
appThm
3529
def
appThm
appThm
626
ref
625
ref
564
ref
1683
ref
784
ref
181
ref
appTerm
3530
def
betaConv
1064
remove
1067
remove
99
ref
subst
proveHyp
nil
35
ref
1065
remove
cons
36
ref
3530
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
784
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
sym
262
ref
572
ref
appThm
trans
3531
def
appThm
nil
2347
ref
575
ref
cons
nil
cons
cons
587
ref
subst
262
ref
591
ref
appThm
trans
trans
appThm
3465
ref
refl
3532
def
appThm
nil
175
ref
3465
ref
nil
cons
3533
def
cons
3534
def
240
ref
593
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3534
ref
2116
remove
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3534
ref
575
ref
cons
nil
cons
cons
3535
def
765
ref
subst
appThm
3536
def
trans
3537
def
appThm
trans
trans
appThm
appThm
appThm
sym
1840
ref
3503
ref
357
ref
210
ref
444
ref
446
ref
3137
ref
327
ref
appTerm
2345
ref
appTerm
3538
def
appTerm
3539
def
appTerm
appTerm
3540
def
21
ref
597
ref
appTerm
451
ref
appTerm
3541
def
1881
ref
appTerm
3542
def
appTerm
appTerm
444
ref
254
ref
254
ref
254
ref
446
ref
3465
ref
appTerm
appTerm
appTerm
3543
def
appTerm
3544
def
appTerm
3545
def
appTerm
appTerm
absTerm
3546
def
1878
ref
appTerm
3547
def
betaConv
443
ref
315
ref
3546
ref
appTerm
3548
def
absTerm
3549
def
445
ref
appTerm
3550
def
betaConv
1838
ref
155
ref
3549
ref
appTerm
3551
def
absTerm
3552
def
1880
ref
appTerm
3553
def
betaConv
3554
def
nil
164
ref
443
ref
315
ref
1840
ref
40
ref
408
ref
1879
ref
3448
ref
19
ref
appTerm
appTerm
appTerm
3555
def
appTerm
357
ref
3540
remove
3541
ref
2009
remove
appTerm
3556
def
appTerm
appTerm
3557
def
444
ref
254
ref
254
ref
254
ref
446
ref
3452
ref
appTerm
appTerm
appTerm
3558
def
appTerm
appTerm
appTerm
3559
def
appTerm
3560
def
absTerm
3561
def
appTerm
3562
def
absTerm
3563
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3562
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3561
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3560
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3555
remove
nil
cons
3564
def
cons
36
ref
3559
remove
nil
cons
3565
def
cons
nil
cons
cons
nil
cons
cons
3566
def
57
ref
subst
3566
remove
129
ref
subst
3557
ref
refl
626
ref
262
ref
262
ref
262
ref
564
ref
3459
ref
appThm
589
remove
trans
appThm
appThm
3567
def
appThm
appThm
appThm
sym
nil
35
ref
39
ref
1878
ref
appTerm
3568
def
277
ref
appTerm
3569
def
nil
cons
3570
def
cons
3571
def
36
ref
3557
remove
444
ref
254
ref
545
remove
appTerm
3572
def
appTerm
3573
def
appTerm
nil
cons
3574
def
cons
nil
cons
3575
def
cons
nil
cons
cons
3576
def
57
ref
subst
3576
remove
129
ref
subst
39
ref
"_32221"
1
ref
var
3577
def
357
ref
210
ref
444
ref
446
ref
3136
ref
3577
remove
varTerm
3578
def
appTerm
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
3541
ref
359
ref
3578
remove
appTerm
6
ref
appTerm
appTerm
appTerm
appTerm
3573
ref
appTerm
absTerm
3579
def
1878
ref
appTerm
3580
def
appTerm
refl
3581
def
3579
ref
277
ref
appTerm
betaConv
appThm
87
ref
3580
remove
betaConv
appThm
3582
def
357
ref
210
ref
444
ref
446
ref
3205
ref
327
ref
appTerm
2345
ref
appTerm
appTerm
3583
def
appTerm
appTerm
3584
def
3541
ref
390
ref
appTerm
appTerm
appTerm
3573
ref
appTerm
refl
appThm
trans
3579
remove
refl
3585
def
3569
remove
assume
3586
def
appThm
eqMp
sym
1410
ref
625
ref
626
ref
564
ref
nil
3161
ref
2346
ref
cons
3163
ref
352
ref
cons
nil
cons
cons
nil
cons
cons
3587
def
3207
ref
subst
appThm
591
remove
trans
3588
def
appThm
appThm
3589
def
nil
1839
ref
2257
ref
2365
ref
cons
cons
nil
cons
cons
3155
ref
subst
195
ref
3206
remove
3140
remove
597
ref
appTerm
3590
def
6
ref
appTerm
appTerm
absTerm
599
ref
appTerm
betaConv
175
ref
3205
ref
210
ref
599
ref
appTerm
3591
def
181
ref
appTerm
appTerm
181
ref
appTerm
absTerm
21
ref
599
ref
appTerm
597
ref
appTerm
6
ref
appTerm
3592
def
appTerm
betaConv
nil
3161
ref
3592
ref
nil
cons
cons
3163
ref
3591
remove
3592
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3207
ref
subst
nil
142
ref
660
remove
cons
3593
def
145
ref
599
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
170
ref
subst
trans
trans
trans
trans
appThm
nil
240
ref
559
remove
cons
nil
cons
3594
def
nil
cons
cons
3595
def
252
ref
subst
3596
def
trans
appThm
3573
ref
refl
3597
def
appThm
sym
nil
175
ref
593
remove
cons
nil
cons
nil
cons
cons
3598
def
175
ref
503
ref
269
ref
appTerm
3599
def
absTerm
3600
def
181
ref
appTerm
3601
def
betaConv
nil
155
ref
3600
ref
appTerm
3602
def
axiom
nil
35
ref
3602
remove
nil
cons
cons
36
ref
3601
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3600
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3603
def
subst
nil
35
ref
2394
ref
3572
ref
appTerm
nil
cons
cons
36
ref
2391
ref
3573
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
3572
remove
nil
cons
cons
2395
ref
cons
nil
cons
cons
1556
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3570
ref
cons
3604
def
85
ref
3574
ref
cons
nil
cons
3605
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
3568
ref
62
ref
appTerm
3606
def
nil
cons
3607
def
cons
3608
def
3575
remove
cons
nil
cons
cons
3609
def
57
ref
subst
3609
remove
129
ref
subst
3581
remove
"_32219"
1
ref
var
3610
def
357
ref
210
ref
444
ref
446
ref
3136
ref
3610
remove
varTerm
3611
def
appTerm
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
3541
ref
359
ref
3611
remove
appTerm
6
ref
appTerm
appTerm
appTerm
appTerm
3573
ref
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
3582
remove
357
ref
210
ref
444
ref
446
ref
3156
ref
327
ref
appTerm
2345
ref
appTerm
appTerm
3612
def
appTerm
appTerm
3613
def
3541
ref
386
ref
appTerm
appTerm
appTerm
3573
ref
appTerm
refl
appThm
trans
3585
remove
3606
remove
assume
3614
def
appThm
eqMp
sym
1410
ref
625
ref
626
ref
564
ref
3587
remove
3165
ref
subst
appThm
3615
def
appThm
appThm
nil
1839
ref
1841
ref
2365
ref
cons
cons
nil
cons
cons
3155
ref
subst
195
ref
175
ref
nil
3161
ref
191
ref
cons
3616
def
3163
ref
3138
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3617
def
3165
ref
subst
absThm
3618
def
nil
3593
ref
145
ref
202
remove
nil
cons
cons
nil
cons
3619
def
cons
nil
cons
cons
170
ref
subst
3620
def
appThm
absThm
2375
ref
appThm
trans
appThm
appThm
3597
ref
appThm
sym
1410
ref
625
ref
626
ref
590
ref
appThm
appThm
195
ref
175
ref
3138
ref
absTerm
25
ref
appTerm
absTerm
3621
def
547
ref
appTerm
betaConv
175
ref
210
ref
547
ref
appTerm
3622
def
181
ref
appTerm
3623
def
absTerm
25
ref
appTerm
betaConv
3596
ref
trans
trans
appThm
appThm
3597
ref
appThm
sym
1410
ref
nil
560
ref
661
remove
nil
cons
3624
def
cons
3625
def
nil
cons
cons
1480
ref
subst
appThm
3597
ref
appThm
sym
1410
ref
670
ref
2375
ref
subst
appThm
3597
remove
appThm
sym
nil
175
ref
3573
ref
nil
cons
cons
nil
cons
nil
cons
cons
1265
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3607
remove
cons
3626
def
3605
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
1878
ref
appTerm
3627
def
betaConv
986
ref
nil
987
ref
36
ref
3627
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3628
def
nil
3626
ref
85
ref
3570
ref
cons
3629
def
991
ref
3574
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
83
ref
3564
remove
cons
85
ref
3565
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3563
remove
appTerm
3630
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
3551
ref
appTerm
155
ref
443
ref
315
ref
2017
ref
40
ref
408
ref
2019
ref
3468
remove
19
ref
appTerm
3631
def
appTerm
appTerm
appTerm
357
ref
210
ref
444
ref
446
ref
3136
ref
2018
ref
appTerm
3632
def
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
3633
def
3541
remove
2019
ref
1881
ref
appTerm
3634
def
appTerm
3635
def
appTerm
appTerm
444
ref
254
ref
254
ref
254
ref
446
ref
3471
ref
appTerm
appTerm
appTerm
3636
def
appTerm
appTerm
appTerm
appTerm
3637
def
absTerm
3638
def
appTerm
3639
def
absTerm
3640
def
appTerm
3641
def
appTerm
3642
def
absTerm
3643
def
appTerm
3644
def
absTerm
3645
def
appTerm
3646
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
3645
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3644
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3643
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3642
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3551
remove
nil
cons
3647
def
cons
3648
def
36
ref
3641
remove
nil
cons
3649
def
cons
nil
cons
cons
nil
cons
cons
3650
def
57
ref
subst
3650
remove
129
ref
subst
nil
164
ref
3640
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3639
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3638
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
2017
ref
nil
70
ref
3637
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
nil
1838
ref
3631
remove
nil
cons
cons
2034
ref
cons
nil
cons
cons
1900
ref
subst
appThm
1410
ref
3633
ref
refl
3651
def
nil
1838
ref
1881
ref
nil
cons
3652
def
cons
3653
def
2033
remove
2365
ref
cons
cons
nil
cons
cons
3155
ref
subst
3654
def
appThm
appThm
626
ref
262
ref
262
ref
262
ref
564
remove
695
ref
1845
ref
15
ref
3458
ref
1856
ref
appTerm
appTerm
254
ref
3458
ref
1855
ref
appTerm
appTerm
appTerm
absTerm
3655
def
1855
ref
appTerm
3656
def
betaConv
1852
ref
1862
ref
3655
ref
appTerm
3657
def
absTerm
3658
def
1853
ref
appTerm
3659
def
betaConv
nil
119
ref
3658
ref
appTerm
3660
def
axiom
nil
35
ref
3660
remove
nil
cons
cons
36
ref
3659
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
3658
remove
nil
cons
cons
1867
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3657
remove
nil
cons
cons
36
ref
3656
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
3655
remove
nil
cons
cons
1871
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
3661
def
appThm
appThm
appThm
3662
def
appThm
appThm
appThm
appThm
sym
286
ref
1901
ref
1873
ref
refl
3494
ref
appThm
nil
1838
ref
3501
remove
nil
cons
cons
nil
cons
nil
cons
cons
3663
def
1872
ref
subst
trans
appThm
2018
ref
refl
3664
def
appThm
465
ref
238
ref
46
ref
2018
ref
appTerm
3665
def
refl
3666
def
1887
remove
refl
3494
ref
appThm
3663
remove
2292
ref
subst
trans
appThm
appThm
appThm
414
ref
3494
ref
appThm
appThm
appThm
nil
821
ref
46
ref
230
ref
3665
remove
1878
ref
appTerm
appTerm
3667
def
appTerm
3668
def
3502
ref
appTerm
3669
def
nil
cons
3670
def
cons
822
ref
2032
ref
cons
nil
cons
3671
def
cons
nil
cons
cons
2047
ref
subst
trans
appThm
1410
ref
3651
ref
195
ref
175
ref
3632
ref
3138
ref
appTerm
181
ref
appTerm
absTerm
3590
remove
1881
ref
appTerm
appTerm
absTerm
3672
def
refl
2375
ref
appThm
3673
def
appThm
appThm
444
ref
254
ref
254
ref
254
ref
446
ref
254
ref
3465
ref
appTerm
3674
def
appTerm
appTerm
appTerm
3675
def
appTerm
appTerm
3676
def
refl
3677
def
appThm
appThm
sym
40
ref
3669
remove
appTerm
refl
1410
ref
3651
remove
3672
remove
547
ref
appTerm
betaConv
175
ref
3632
ref
3623
ref
appTerm
181
ref
appTerm
3678
def
absTerm
21
ref
547
ref
appTerm
597
ref
appTerm
3679
def
1881
ref
appTerm
3680
def
appTerm
betaConv
trans
3681
def
appThm
appThm
3677
remove
appThm
appThm
sym
nil
35
ref
3670
ref
cons
36
ref
357
ref
3633
remove
3632
remove
3622
ref
3680
ref
appTerm
3682
def
appTerm
3680
ref
appTerm
3683
def
appTerm
appTerm
3676
ref
appTerm
3684
def
nil
cons
3685
def
cons
nil
cons
3686
def
cons
nil
cons
cons
3687
def
57
ref
subst
3687
remove
129
ref
subst
nil
83
ref
3667
ref
nil
cons
3688
def
cons
3689
def
85
ref
3502
ref
nil
cons
3690
def
cons
nil
cons
cons
nil
cons
cons
3691
def
99
ref
subst
3691
remove
305
ref
subst
1840
ref
3503
remove
357
ref
210
ref
444
ref
2099
ref
3538
ref
appTerm
appTerm
appTerm
3680
ref
appTerm
appTerm
444
ref
254
ref
254
ref
254
ref
2099
remove
3465
ref
appTerm
appTerm
appTerm
3692
def
appTerm
appTerm
appTerm
3693
def
appTerm
3694
def
absTerm
3695
def
1878
ref
appTerm
3696
def
betaConv
3549
ref
544
ref
appTerm
3697
def
betaConv
nil
3648
ref
36
ref
3697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
3549
remove
nil
cons
cons
3698
def
3255
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
315
ref
3695
ref
appTerm
nil
cons
cons
36
ref
3696
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3695
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3694
remove
nil
cons
cons
3686
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
nil
70
ref
3690
remove
cons
nil
cons
nil
cons
cons
77
ref
subst
3502
remove
assume
eqMp
appThm
3693
ref
refl
appThm
nil
70
ref
3693
ref
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
3684
ref
refl
appThm
sym
nil
35
ref
3688
remove
cons
36
ref
40
ref
3693
remove
appTerm
3699
def
3684
remove
appTerm
3700
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
35
ref
39
ref
2018
ref
appTerm
3701
def
277
ref
appTerm
3702
def
nil
cons
3703
def
cons
3704
def
36
ref
40
ref
3667
remove
appTerm
3700
remove
appTerm
nil
cons
3705
def
cons
nil
cons
3706
def
cons
nil
cons
cons
3707
def
57
ref
subst
3707
remove
129
ref
subst
39
ref
"_32225"
1
ref
var
3708
def
40
ref
230
ref
46
ref
3708
remove
varTerm
3709
def
appTerm
1878
ref
appTerm
appTerm
appTerm
3699
ref
357
ref
210
ref
444
ref
446
ref
3136
ref
3709
remove
appTerm
3710
def
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
3710
remove
3682
ref
appTerm
3680
ref
appTerm
appTerm
appTerm
3676
ref
appTerm
appTerm
appTerm
absTerm
3711
def
2018
ref
appTerm
3712
def
appTerm
refl
3713
def
3711
ref
277
ref
appTerm
betaConv
appThm
87
ref
3712
remove
betaConv
appThm
3714
def
40
ref
230
ref
971
ref
1878
ref
appTerm
appTerm
appTerm
3699
ref
357
ref
3584
remove
3205
ref
3682
ref
appTerm
3680
ref
appTerm
appTerm
appTerm
3676
ref
appTerm
appTerm
appTerm
refl
appThm
trans
3711
remove
refl
3715
def
3702
remove
assume
3716
def
appThm
eqMp
sym
286
ref
238
ref
nil
70
ref
1896
ref
cons
nil
cons
nil
cons
cons
3717
def
975
ref
subst
appThm
325
ref
trans
appThm
286
ref
1410
ref
625
ref
626
ref
nil
175
ref
3538
remove
nil
cons
cons
575
remove
cons
nil
cons
cons
765
ref
subst
appThm
appThm
3680
ref
refl
3718
def
appThm
appThm
626
ref
262
ref
262
ref
3536
remove
appThm
3719
def
appThm
appThm
appThm
appThm
3720
def
1410
ref
3589
remove
nil
3161
ref
3680
ref
nil
cons
3721
def
cons
3163
ref
3682
ref
nil
cons
3722
def
cons
nil
cons
cons
nil
cons
cons
3723
def
3207
ref
subst
appThm
appThm
626
ref
262
ref
262
ref
262
ref
3535
remove
587
ref
subst
appThm
appThm
3724
def
appThm
appThm
3725
def
appThm
appThm
appThm
nil
70
ref
40
ref
357
ref
210
ref
444
ref
254
ref
3539
remove
appTerm
3726
def
appTerm
3727
def
appTerm
3680
ref
appTerm
3728
def
appTerm
444
ref
254
ref
3544
remove
appTerm
appTerm
3729
def
appTerm
3730
def
appTerm
3731
def
357
ref
3682
ref
appTerm
3732
def
3729
ref
appTerm
3733
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
sym
nil
35
ref
3730
ref
nil
cons
3734
def
cons
36
ref
3733
remove
nil
cons
3735
def
cons
nil
cons
3736
def
cons
nil
cons
cons
3737
def
57
ref
subst
3737
remove
129
ref
subst
175
ref
46
ref
3732
ref
181
ref
appTerm
appTerm
503
ref
3729
ref
appTerm
appTerm
absTerm
3738
def
3728
ref
appTerm
betaConv
sym
nil
142
ref
3727
ref
nil
cons
cons
240
ref
3721
ref
cons
560
remove
nil
cons
3739
def
cons
cons
nil
cons
cons
1531
remove
subst
sym
nil
3571
ref
36
ref
2394
ref
3726
ref
appTerm
nil
cons
3740
def
cons
nil
cons
3741
def
cons
nil
cons
cons
3742
def
57
ref
subst
3742
remove
129
ref
subst
39
ref
"_32231"
1
ref
var
3743
def
2394
ref
254
ref
446
ref
3136
ref
3743
remove
varTerm
appTerm
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3744
def
1878
ref
appTerm
3745
def
appTerm
refl
3746
def
3744
ref
277
ref
appTerm
betaConv
appThm
87
ref
3745
remove
betaConv
appThm
3747
def
2394
ref
254
ref
3583
remove
appTerm
3748
def
appTerm
refl
appThm
trans
3744
remove
refl
3749
def
3586
ref
appThm
eqMp
sym
2394
ref
refl
3750
def
262
ref
3588
remove
appThm
3751
def
appThm
3598
ref
nil
70
ref
3599
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
3603
remove
eqMp
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3604
ref
85
ref
3740
ref
cons
nil
cons
3752
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
3608
ref
3741
remove
cons
nil
cons
cons
3753
def
57
ref
subst
3753
remove
129
ref
subst
3746
remove
"_32229"
1
ref
var
3754
def
2394
ref
254
ref
446
ref
3136
ref
3754
remove
varTerm
appTerm
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
3747
remove
2394
remove
254
ref
3612
remove
appTerm
appTerm
refl
appThm
trans
3749
remove
3614
ref
appThm
eqMp
sym
3750
remove
262
ref
3615
remove
590
remove
trans
3755
def
appThm
appThm
3598
remove
nil
70
ref
1261
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1265
remove
eqMp
3756
def
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3626
ref
3752
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
3628
ref
nil
3626
ref
3629
ref
991
ref
3740
ref
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
nil
35
ref
3740
remove
cons
36
ref
2391
ref
3727
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
3726
remove
nil
cons
cons
2395
remove
cons
nil
cons
cons
1556
ref
subst
eqMp
eqMp
nil
35
ref
3732
remove
3728
ref
appTerm
nil
cons
cons
36
ref
3734
ref
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
3730
remove
assume
eqMp
eqMp
163
ref
164
ref
3738
ref
nil
cons
cons
165
ref
3728
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
3738
remove
appTerm
nil
cons
cons
3736
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
3729
ref
nil
cons
cons
240
ref
3722
remove
cons
nil
cons
cons
nil
cons
cons
1177
ref
subst
eqMp
eqMp
nil
83
ref
3734
remove
cons
85
ref
3735
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3703
ref
cons
3757
def
85
ref
3705
ref
cons
nil
cons
3758
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
3701
ref
62
ref
appTerm
3759
def
nil
cons
3760
def
cons
3761
def
3706
remove
cons
nil
cons
cons
3762
def
57
ref
subst
3762
remove
129
ref
subst
3713
remove
"_32223"
1
ref
var
3763
def
40
ref
230
ref
46
ref
3763
remove
varTerm
3764
def
appTerm
1878
ref
appTerm
appTerm
appTerm
3699
ref
357
ref
210
ref
444
ref
446
ref
3136
ref
3764
remove
appTerm
3765
def
327
ref
appTerm
2345
ref
appTerm
appTerm
appTerm
appTerm
3765
remove
3682
ref
appTerm
3680
ref
appTerm
appTerm
appTerm
3676
ref
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
3714
remove
40
ref
230
ref
707
ref
1878
ref
appTerm
appTerm
appTerm
3699
remove
357
ref
3613
remove
3156
ref
3682
ref
appTerm
3680
ref
appTerm
appTerm
appTerm
3676
remove
appTerm
appTerm
appTerm
refl
appThm
trans
3715
remove
3759
remove
assume
3766
def
appThm
eqMp
sym
286
ref
238
ref
3717
ref
711
ref
subst
appThm
appThm
3720
remove
1410
ref
625
ref
626
ref
3755
remove
appThm
appThm
3723
remove
3165
ref
subst
appThm
appThm
3725
remove
appThm
appThm
appThm
sym
nil
35
ref
230
ref
1878
ref
appTerm
3767
def
nil
cons
3768
def
cons
3769
def
36
ref
3731
remove
357
ref
598
ref
3682
remove
appTerm
appTerm
3729
ref
appTerm
appTerm
nil
cons
3770
def
cons
nil
cons
cons
nil
cons
cons
3771
def
57
ref
subst
3771
remove
129
ref
subst
39
ref
"_32227"
1
ref
var
3772
def
40
ref
357
ref
210
ref
444
ref
254
ref
446
remove
3136
ref
3772
remove
varTerm
3773
def
appTerm
327
ref
appTerm
2345
remove
appTerm
appTerm
appTerm
appTerm
appTerm
3679
ref
359
ref
3773
remove
appTerm
1880
ref
appTerm
appTerm
3774
def
appTerm
appTerm
3729
ref
appTerm
appTerm
357
ref
598
ref
3622
ref
3774
remove
appTerm
appTerm
appTerm
3729
ref
appTerm
appTerm
absTerm
3775
def
1878
ref
appTerm
3776
def
appTerm
refl
3775
ref
277
ref
appTerm
betaConv
appThm
87
ref
3776
remove
betaConv
appThm
40
ref
357
ref
210
ref
444
ref
3748
remove
appTerm
appTerm
3679
ref
366
remove
1880
ref
appTerm
3777
def
appTerm
3778
def
appTerm
appTerm
3729
ref
appTerm
appTerm
357
ref
598
remove
3622
ref
3778
ref
appTerm
appTerm
appTerm
3729
ref
appTerm
appTerm
refl
appThm
trans
3775
remove
refl
nil
3769
ref
36
ref
3570
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
83
ref
1896
ref
cons
3779
def
nil
cons
nil
cons
cons
321
ref
subst
eqMp
3780
def
appThm
eqMp
sym
286
ref
1410
ref
625
ref
626
ref
3751
remove
appThm
appThm
3778
ref
refl
3781
def
appThm
appThm
3729
ref
refl
3782
def
appThm
appThm
1410
ref
nil
142
ref
3778
ref
nil
cons
cons
3625
remove
cons
nil
cons
cons
3171
ref
subst
625
ref
670
remove
443
ref
15
ref
210
ref
451
ref
appTerm
597
ref
appTerm
3783
def
appTerm
547
ref
appTerm
absTerm
3784
def
445
ref
appTerm
3785
def
betaConv
468
ref
443
ref
239
ref
nil
485
ref
3624
remove
cons
nil
cons
cons
1480
ref
subst
appThm
547
ref
refl
appThm
absThm
appThm
2374
remove
eqMp
nil
35
ref
155
ref
3784
ref
appTerm
nil
cons
cons
36
ref
3785
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3784
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
3781
remove
appThm
trans
appThm
3782
remove
appThm
appThm
nil
70
ref
357
ref
210
ref
3573
remove
appTerm
3778
remove
appTerm
appTerm
3729
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
3768
ref
cons
3786
def
85
ref
3770
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3760
remove
cons
3787
def
3758
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
2018
ref
appTerm
3788
def
betaConv
986
ref
nil
987
ref
36
ref
3788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
319
ref
2032
ref
cons
nil
cons
3789
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3790
def
nil
3787
ref
85
ref
3703
remove
cons
3791
def
991
ref
3705
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
3670
remove
cons
85
ref
3685
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
3647
remove
cons
85
ref
3649
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3630
remove
appTerm
3646
remove
appTerm
nil
cons
cons
36
ref
33
ref
3552
ref
appTerm
nil
cons
3792
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3552
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
3554
ref
appThm
3552
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
1838
ref
3554
remove
absThm
appThm
appThm
nil
2054
ref
3552
remove
nil
cons
3793
def
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
nil
35
ref
3792
remove
cons
36
ref
3553
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3793
remove
cons
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
3648
remove
36
ref
3550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3698
remove
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3548
remove
nil
cons
cons
36
ref
3547
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3546
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3524
remove
appTerm
nil
cons
cons
36
ref
3525
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3526
remove
393
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
315
ref
3514
ref
appTerm
nil
cons
cons
36
ref
3515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3514
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3513
remove
nil
cons
cons
36
ref
3512
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3511
remove
nil
cons
cons
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3510
remove
nil
cons
cons
36
ref
3509
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3508
remove
nil
cons
cons
113
ref
3394
remove
cons
nil
cons
3794
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
40
ref
3496
ref
appTerm
3507
remove
appTerm
nil
cons
cons
3499
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
nil
70
ref
3497
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
3496
remove
assume
eqMp
appThm
1410
ref
625
ref
626
ref
nil
175
ref
3504
ref
nil
cons
cons
nil
cons
nil
cons
cons
734
ref
subst
appThm
appThm
3038
ref
3528
ref
appThm
3795
def
appThm
appThm
626
ref
625
ref
nil
175
ref
3506
ref
nil
cons
cons
nil
cons
nil
cons
cons
734
ref
subst
appThm
3532
ref
appThm
appThm
appThm
appThm
nil
70
ref
357
ref
210
ref
444
ref
3504
remove
appTerm
3796
def
appTerm
27
ref
1881
ref
appTerm
3797
def
appTerm
appTerm
444
ref
210
ref
3506
remove
appTerm
3465
ref
appTerm
appTerm
3798
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
2224
ref
nil
4
ref
3652
remove
cons
nil
cons
nil
cons
cons
141
ref
subst
3799
def
appThm
3473
ref
refl
appThm
appThm
sym
nil
3571
ref
36
ref
15
ref
3796
ref
appTerm
26
ref
appTerm
3800
def
nil
cons
3801
def
cons
nil
cons
3802
def
cons
nil
cons
cons
3803
def
57
ref
subst
3803
remove
129
ref
subst
39
ref
"_32237"
1
ref
var
3804
def
15
ref
444
ref
3136
ref
3804
remove
varTerm
appTerm
26
ref
appTerm
602
ref
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
3805
def
1878
ref
appTerm
3806
def
appTerm
refl
3807
def
3805
ref
277
ref
appTerm
betaConv
appThm
87
ref
3806
remove
betaConv
appThm
3808
def
15
ref
444
ref
3205
ref
26
ref
appTerm
602
ref
appTerm
appTerm
appTerm
26
ref
appTerm
refl
appThm
trans
3805
remove
refl
3809
def
3586
ref
appThm
eqMp
sym
626
ref
nil
3161
ref
727
ref
cons
3163
ref
146
ref
cons
nil
cons
cons
nil
cons
cons
3810
def
3207
ref
subst
appThm
3272
remove
trans
eqMp
eqMp
nil
3604
ref
85
ref
3801
ref
cons
nil
cons
3811
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
3608
ref
3802
remove
cons
nil
cons
cons
3812
def
57
ref
subst
3812
remove
129
ref
subst
3807
remove
"_32235"
1
ref
var
3813
def
15
ref
444
ref
3136
ref
3813
remove
varTerm
appTerm
26
ref
appTerm
602
ref
appTerm
appTerm
appTerm
26
ref
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
3808
remove
15
ref
444
ref
3156
ref
26
ref
appTerm
602
ref
appTerm
appTerm
appTerm
26
ref
appTerm
refl
appThm
trans
3809
remove
3614
ref
appThm
eqMp
sym
626
ref
3810
remove
3165
ref
subst
appThm
692
remove
trans
eqMp
eqMp
nil
3626
ref
3811
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
3628
ref
nil
3626
ref
3629
ref
991
ref
3801
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
39
ref
"_32233"
11
ref
var
3814
def
40
ref
357
ref
210
ref
3814
remove
varTerm
appTerm
3797
ref
appTerm
appTerm
3798
ref
appTerm
appTerm
200
ref
3797
ref
appTerm
3473
remove
appTerm
3815
def
appTerm
absTerm
3816
def
3796
remove
appTerm
3817
def
appTerm
refl
3816
ref
26
ref
appTerm
betaConv
appThm
87
ref
3817
remove
betaConv
appThm
40
ref
357
ref
226
ref
3797
ref
appTerm
appTerm
3798
remove
appTerm
appTerm
3815
remove
appTerm
refl
appThm
trans
3816
remove
refl
3800
remove
assume
appThm
eqMp
sym
286
ref
1410
ref
625
ref
266
ref
appThm
3049
remove
3528
remove
appThm
3818
def
appThm
nil
175
ref
3050
remove
1881
ref
appTerm
3819
def
nil
cons
3820
def
cons
3821
def
1443
ref
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3821
remove
nil
cons
nil
cons
cons
734
ref
subst
appThm
trans
trans
appThm
626
ref
625
ref
3531
remove
appThm
3532
ref
appThm
nil
3534
ref
240
ref
2346
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3534
ref
240
ref
352
ref
cons
nil
cons
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3534
ref
1443
remove
cons
nil
cons
cons
765
ref
subst
262
ref
nil
3534
remove
nil
cons
nil
cons
cons
3822
def
734
ref
subst
appThm
trans
appThm
trans
3823
def
appThm
trans
trans
appThm
appThm
nil
175
ref
444
ref
254
ref
254
ref
3674
ref
appTerm
3824
def
appTerm
appTerm
3825
def
nil
cons
cons
240
ref
3820
remove
cons
nil
cons
cons
nil
cons
cons
501
ref
subst
trans
appThm
2224
ref
3818
ref
appThm
626
ref
625
ref
3661
ref
appThm
3826
def
572
ref
appThm
nil
2347
remove
240
ref
3533
remove
cons
nil
cons
3827
def
cons
nil
cons
cons
765
ref
subst
262
ref
nil
573
ref
3827
ref
cons
nil
cons
cons
3828
def
587
ref
subst
262
ref
nil
176
ref
3827
ref
cons
nil
cons
cons
587
ref
subst
262
ref
nil
3827
ref
nil
cons
cons
252
ref
subst
appThm
trans
appThm
3829
def
trans
appThm
trans
trans
appThm
appThm
appThm
nil
70
ref
200
ref
3819
ref
appTerm
3825
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
proveHyp
eqMp
eqMp
eqMp
nil
83
ref
3497
remove
cons
85
ref
3498
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
3481
remove
cons
85
ref
3482
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3461
remove
appTerm
3480
remove
appTerm
nil
cons
cons
36
ref
33
ref
3445
ref
appTerm
nil
cons
3830
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3445
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
3445
ref
1880
ref
appTerm
betaConv
appThm
3445
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
3332
ref
3447
remove
absThm
appThm
appThm
nil
2054
ref
3445
remove
nil
cons
3831
def
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
nil
35
ref
3830
remove
cons
36
ref
3446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3831
remove
cons
113
ref
3393
remove
cons
nil
cons
3832
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
3833
def
nil
35
ref
33
ref
3441
ref
appTerm
3834
def
nil
cons
3835
def
cons
3836
def
36
ref
33
ref
3436
ref
appTerm
nil
cons
3837
def
cons
nil
cons
cons
nil
cons
cons
3838
def
108
ref
subst
proveHyp
3838
ref
57
ref
subst
3838
remove
129
ref
subst
nil
112
ref
3436
remove
nil
cons
cons
3839
def
nil
cons
nil
cons
cons
1969
ref
subst
3332
ref
nil
70
ref
3435
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
3432
ref
57
ref
subst
3432
remove
129
ref
subst
nil
3836
ref
3431
ref
cons
nil
cons
cons
3840
def
108
ref
subst
nil
3428
remove
36
ref
40
ref
3834
ref
appTerm
3429
remove
appTerm
3841
def
nil
cons
3842
def
cons
nil
cons
3843
def
cons
nil
cons
cons
108
ref
subst
nil
112
ref
3331
ref
40
ref
3418
ref
3336
ref
appTerm
3844
def
appTerm
3841
ref
appTerm
3845
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3331
ref
nil
70
ref
3845
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3844
ref
nil
cons
3846
def
cons
3843
ref
cons
nil
cons
cons
3847
def
57
ref
subst
3847
remove
129
ref
subst
3844
ref
betaConv
3844
remove
assume
eqMp
nil
35
ref
3417
remove
nil
cons
3848
def
cons
3849
def
3843
remove
cons
nil
cons
cons
3850
def
108
ref
subst
proveHyp
3850
ref
57
ref
subst
3850
remove
129
ref
subst
3840
ref
57
ref
subst
3840
remove
129
ref
subst
nil
3849
remove
3431
remove
cons
nil
cons
cons
108
ref
subst
3439
remove
3336
ref
appTerm
3851
def
betaConv
3441
remove
3333
ref
appTerm
3852
def
betaConv
nil
3836
remove
36
ref
3852
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
111
ref
3442
remove
3832
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3443
remove
cons
36
ref
3851
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
3444
remove
3794
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3835
remove
cons
3853
def
85
ref
3430
ref
cons
nil
cons
3854
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
3848
remove
cons
85
ref
3842
remove
cons
nil
cons
3855
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
3846
remove
cons
3855
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
3418
ref
2499
ref
appTerm
appTerm
3841
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
3434
remove
3841
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
3424
ref
3855
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
3427
remove
cons
3854
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
3853
remove
85
ref
3837
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
3837
remove
cons
36
ref
3437
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
3839
remove
3832
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
3856
def
eqMp
nil
35
ref
3430
remove
cons
3857
def
36
ref
357
ref
3412
ref
appTerm
3858
def
3339
ref
appTerm
nil
cons
cons
nil
cons
3859
def
cons
nil
cons
cons
129
ref
subst
proveHyp
175
ref
46
ref
3858
ref
181
ref
appTerm
appTerm
3408
remove
appTerm
absTerm
3860
def
444
ref
210
ref
3371
ref
appTerm
3861
def
26
ref
appTerm
3862
def
appTerm
3863
def
appTerm
betaConv
sym
1410
ref
3410
ref
refl
3864
def
572
ref
appThm
nil
573
remove
3377
ref
cons
nil
cons
cons
587
ref
subst
262
ref
nil
176
ref
3377
ref
cons
nil
cons
cons
587
ref
subst
262
ref
nil
3377
remove
nil
cons
cons
3865
def
252
ref
subst
3866
def
appThm
trans
appThm
trans
trans
appThm
3861
ref
refl
3867
def
266
ref
appThm
nil
176
ref
3379
remove
nil
cons
3868
def
cons
nil
cons
cons
587
ref
subst
262
ref
nil
3868
remove
nil
cons
cons
252
ref
subst
appThm
trans
trans
appThm
nil
175
ref
254
ref
3371
ref
appTerm
nil
cons
cons
240
ref
254
ref
3374
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
501
remove
subst
3378
remove
175
ref
39
ref
200
ref
489
remove
appTerm
269
ref
appTerm
appTerm
492
remove
appTerm
absTerm
3869
def
181
ref
appTerm
3870
def
betaConv
240
ref
155
ref
3869
ref
appTerm
3871
def
absTerm
3872
def
242
ref
appTerm
3873
def
betaConv
nil
155
ref
3872
ref
appTerm
3874
def
axiom
nil
35
ref
3874
remove
nil
cons
cons
36
ref
3873
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3872
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3871
remove
nil
cons
cons
36
ref
3870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
3869
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
70
ref
3405
ref
cons
nil
cons
nil
cons
cons
3875
def
77
ref
subst
3397
ref
assume
eqMp
trans
trans
trans
sym
76
ref
eqMp
nil
35
ref
357
ref
3411
ref
appTerm
3862
ref
appTerm
nil
cons
cons
36
ref
3858
ref
3863
ref
appTerm
nil
cons
3876
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
3862
remove
nil
cons
cons
1285
ref
3411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1556
ref
subst
eqMp
nil
35
ref
3876
remove
cons
36
ref
357
ref
3863
ref
appTerm
3339
ref
appTerm
nil
cons
cons
nil
cons
3877
def
cons
nil
cons
cons
129
ref
subst
proveHyp
465
ref
238
ref
3484
ref
3308
remove
subst
appThm
appThm
3390
remove
appThm
nil
70
ref
230
ref
173
ref
3336
ref
appTerm
3878
def
6
ref
appTerm
3879
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1260
ref
subst
trans
sym
nil
83
ref
3879
ref
nil
cons
3880
def
cons
3881
def
nil
cons
nil
cons
cons
3385
ref
subst
nil
35
ref
3880
remove
cons
285
ref
cons
nil
cons
cons
3882
def
57
ref
subst
3882
remove
129
ref
subst
nil
35
ref
3405
ref
cons
285
ref
cons
nil
cons
cons
3883
def
108
ref
subst
3875
remove
881
ref
subst
3884
def
238
ref
3396
remove
refl
3370
ref
refl
3879
remove
assume
appThm
3459
ref
trans
appThm
3865
remove
1277
remove
subst
trans
appThm
325
ref
trans
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3881
remove
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
35
ref
46
ref
230
ref
1873
ref
3336
ref
appTerm
appTerm
appTerm
3337
remove
appTerm
nil
cons
cons
3877
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
3484
ref
4
ref
40
ref
1935
remove
1938
ref
appTerm
appTerm
357
ref
444
ref
210
ref
3370
ref
19
ref
appTerm
appTerm
26
ref
appTerm
appTerm
appTerm
20
remove
appTerm
appTerm
absTerm
3885
def
19
ref
appTerm
3886
def
betaConv
3887
def
286
ref
465
ref
238
ref
1904
remove
appThm
969
ref
trans
appThm
1746
ref
refl
appThm
1907
ref
975
ref
subst
trans
appThm
357
ref
444
ref
3453
ref
26
ref
appTerm
appTerm
appTerm
172
remove
appTerm
3888
def
refl
appThm
nil
70
ref
3888
ref
nil
cons
cons
nil
cons
nil
cons
cons
1281
ref
subst
trans
sym
76
ref
eqMp
nil
35
ref
40
ref
46
ref
230
ref
1873
ref
6
ref
appTerm
appTerm
appTerm
1746
ref
appTerm
appTerm
3888
remove
appTerm
3889
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
40
ref
46
ref
230
ref
1884
remove
appTerm
appTerm
1888
remove
appTerm
appTerm
357
ref
444
ref
3466
ref
26
ref
appTerm
appTerm
appTerm
3464
remove
appTerm
appTerm
3890
def
appTerm
40
ref
46
ref
230
ref
1873
remove
1881
ref
appTerm
appTerm
appTerm
1882
ref
appTerm
appTerm
357
ref
444
ref
3472
ref
26
ref
appTerm
appTerm
appTerm
3891
def
3470
remove
appTerm
3892
def
appTerm
3893
def
appTerm
3894
def
absTerm
3895
def
appTerm
3896
def
absTerm
3897
def
appTerm
3898
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
3897
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3896
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3895
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3894
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3890
remove
nil
cons
3899
def
cons
36
ref
3893
remove
nil
cons
3900
def
cons
nil
cons
cons
nil
cons
cons
3901
def
57
ref
subst
3901
remove
129
ref
subst
286
ref
465
ref
238
ref
1872
ref
appThm
325
ref
trans
appThm
1882
ref
refl
3902
def
appThm
nil
70
ref
2085
ref
cons
nil
cons
nil
cons
cons
3903
def
711
ref
subst
trans
appThm
3892
ref
refl
appThm
sym
nil
2086
remove
36
ref
3892
remove
nil
cons
3904
def
cons
nil
cons
3905
def
cons
nil
cons
cons
3906
def
57
ref
subst
3906
remove
129
ref
subst
1838
ref
2002
ref
357
ref
444
ref
210
ref
730
ref
602
ref
appTerm
appTerm
3465
ref
appTerm
appTerm
appTerm
3505
remove
appTerm
appTerm
3907
def
absTerm
3908
def
1880
ref
appTerm
3909
def
betaConv
1840
ref
33
ref
3908
ref
appTerm
3910
def
absTerm
3911
def
1878
ref
appTerm
3912
def
betaConv
443
ref
315
ref
1840
ref
33
ref
1838
ref
2002
ref
357
ref
444
ref
210
ref
603
remove
appTerm
3465
ref
appTerm
appTerm
appTerm
3516
ref
appTerm
appTerm
3913
def
absTerm
3914
def
appTerm
3915
def
absTerm
3916
def
appTerm
3917
def
absTerm
3918
def
25
ref
appTerm
3919
def
betaConv
nil
164
ref
3918
ref
nil
cons
cons
3920
def
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3917
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3916
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3915
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3914
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3913
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
2002
ref
refl
1410
ref
626
ref
625
ref
592
remove
appThm
3532
ref
appThm
3537
remove
trans
appThm
appThm
3529
remove
appThm
appThm
sym
1840
ref
2002
ref
357
ref
444
ref
3543
remove
appTerm
appTerm
3542
remove
appTerm
appTerm
absTerm
3921
def
1878
ref
appTerm
3922
def
betaConv
443
ref
315
ref
3921
ref
appTerm
3923
def
absTerm
3924
def
445
ref
appTerm
3925
def
betaConv
1838
ref
155
ref
3924
ref
appTerm
3926
def
absTerm
3927
def
1880
ref
appTerm
3928
def
betaConv
3929
def
nil
164
ref
443
ref
315
ref
1840
ref
2011
remove
357
ref
444
ref
3558
remove
appTerm
appTerm
3556
remove
appTerm
appTerm
3930
def
absTerm
3931
def
appTerm
3932
def
absTerm
3933
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3932
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3931
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3930
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
nil
1839
ref
nil
cons
nil
cons
cons
1900
ref
subst
1905
remove
2035
remove
appThm
46
ref
230
ref
1885
remove
1906
remove
appTerm
appTerm
3934
def
appTerm
refl
1908
ref
appThm
nil
70
ref
3934
remove
nil
cons
3935
def
cons
nil
cons
nil
cons
cons
1260
ref
subst
trans
appThm
nil
821
ref
3935
remove
cons
2039
remove
cons
nil
cons
cons
1911
remove
subst
trans
trans
appThm
1410
ref
626
ref
3567
remove
appThm
appThm
nil
1839
ref
2365
remove
cons
nil
cons
cons
3155
ref
subst
195
ref
3139
ref
refl
3620
remove
appThm
absThm
2375
ref
appThm
trans
appThm
appThm
sym
nil
35
ref
1896
ref
cons
3936
def
36
ref
2391
ref
195
ref
3139
ref
25
ref
appTerm
absTerm
547
ref
appTerm
appTerm
nil
cons
3937
def
cons
nil
cons
cons
nil
cons
cons
3938
def
57
ref
subst
3938
remove
129
ref
subst
39
ref
"_32212"
1
ref
var
3939
def
2391
ref
195
ref
175
ref
3136
ref
3939
remove
varTerm
appTerm
3138
remove
appTerm
181
ref
appTerm
absTerm
25
ref
appTerm
absTerm
547
ref
appTerm
appTerm
absTerm
3940
def
1878
ref
appTerm
3941
def
appTerm
refl
3940
ref
62
ref
appTerm
betaConv
appThm
87
ref
3941
remove
betaConv
appThm
2391
ref
195
ref
3157
remove
25
ref
appTerm
absTerm
547
ref
appTerm
3942
def
appTerm
refl
appThm
trans
3940
remove
refl
3717
remove
77
ref
subst
1878
ref
assume
eqMp
3943
def
appThm
eqMp
sym
2391
remove
refl
3942
remove
betaConv
175
ref
3156
ref
3623
ref
appTerm
181
ref
appTerm
3944
def
absTerm
25
ref
appTerm
betaConv
nil
3161
ref
143
ref
cons
3163
ref
3622
ref
25
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
3165
ref
subst
3596
remove
trans
trans
trans
appThm
nil
3739
remove
nil
cons
cons
3756
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3779
ref
85
ref
3937
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3933
remove
appTerm
3945
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
3926
ref
appTerm
155
ref
443
ref
315
ref
2017
ref
40
ref
408
ref
3634
remove
appTerm
appTerm
357
ref
444
ref
3636
remove
appTerm
appTerm
3635
remove
appTerm
appTerm
3946
def
absTerm
3947
def
appTerm
3948
def
absTerm
3949
def
appTerm
3950
def
appTerm
3951
def
absTerm
3952
def
appTerm
3953
def
absTerm
3954
def
appTerm
3955
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
3954
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
3953
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
3952
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
3951
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3926
remove
nil
cons
3956
def
cons
3957
def
36
ref
3950
remove
nil
cons
3958
def
cons
nil
cons
cons
nil
cons
cons
3959
def
57
ref
subst
3959
remove
129
ref
subst
nil
164
ref
3949
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
3948
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
3947
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
2017
ref
nil
70
ref
3946
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
nil
3653
remove
2034
ref
cons
nil
cons
cons
1900
ref
subst
appThm
1410
ref
626
ref
3662
remove
appThm
appThm
3654
remove
appThm
appThm
sym
286
ref
1901
remove
1872
remove
appThm
3664
remove
appThm
465
ref
238
ref
3666
remove
2292
remove
appThm
appThm
appThm
3902
remove
appThm
appThm
nil
821
ref
3668
remove
1882
ref
appTerm
3960
def
nil
cons
3961
def
cons
3671
remove
cons
nil
cons
cons
2047
remove
subst
trans
appThm
357
ref
444
ref
3675
remove
appTerm
appTerm
3962
def
refl
3963
def
3673
remove
appThm
appThm
sym
40
ref
3960
remove
appTerm
refl
3963
remove
3681
remove
appThm
appThm
sym
nil
35
ref
3961
ref
cons
36
ref
3962
remove
3683
ref
appTerm
nil
cons
3964
def
cons
nil
cons
3965
def
cons
nil
cons
cons
3966
def
57
ref
subst
3966
remove
129
ref
subst
nil
3689
remove
85
ref
2085
remove
cons
nil
cons
cons
nil
cons
cons
305
ref
subst
1840
ref
2002
remove
357
ref
444
ref
3692
remove
appTerm
appTerm
3680
ref
appTerm
appTerm
3967
def
absTerm
3968
def
1878
ref
appTerm
3969
def
betaConv
3924
ref
544
ref
appTerm
3970
def
betaConv
nil
3957
ref
36
ref
3970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
3924
remove
nil
cons
cons
3971
def
3255
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
315
ref
3968
ref
appTerm
nil
cons
cons
36
ref
3969
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3968
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3967
remove
nil
cons
cons
3965
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
3903
remove
77
ref
subst
1882
remove
assume
eqMp
appThm
3972
def
1410
ref
626
ref
3719
remove
appThm
appThm
3718
remove
appThm
appThm
nil
70
ref
357
ref
3545
ref
appTerm
3973
def
3680
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
1410
ref
626
ref
3724
remove
appThm
appThm
3683
remove
refl
appThm
appThm
sym
175
ref
40
ref
3973
ref
181
ref
appTerm
3974
def
appTerm
3973
ref
3678
ref
appTerm
3975
def
appTerm
3976
def
absTerm
3977
def
3680
remove
appTerm
3978
def
betaConv
nil
164
ref
3977
ref
nil
cons
cons
3979
def
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
3976
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
3974
ref
nil
cons
3980
def
cons
36
ref
3975
remove
nil
cons
3981
def
cons
nil
cons
3982
def
cons
nil
cons
cons
3983
def
57
ref
subst
3983
remove
129
ref
subst
426
remove
46
ref
3973
remove
427
remove
appTerm
appTerm
546
remove
3678
ref
appTerm
appTerm
absTerm
3984
def
181
ref
appTerm
betaConv
sym
465
ref
nil
70
ref
3980
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
3974
remove
assume
eqMp
appThm
503
ref
3678
ref
appTerm
3985
def
refl
appThm
nil
70
ref
3985
remove
nil
cons
3986
def
cons
nil
cons
nil
cons
cons
711
ref
subst
trans
sym
nil
3704
remove
36
ref
3986
ref
cons
nil
cons
3987
def
cons
nil
cons
cons
3988
def
57
ref
subst
3988
remove
129
ref
subst
39
ref
"_32217"
1
ref
var
3989
def
503
ref
3136
ref
3989
remove
varTerm
appTerm
3623
ref
appTerm
181
ref
appTerm
appTerm
absTerm
3990
def
2018
ref
appTerm
3991
def
appTerm
refl
3992
def
3990
ref
277
ref
appTerm
betaConv
appThm
87
ref
3991
remove
betaConv
appThm
3993
def
503
ref
3205
ref
3623
ref
appTerm
181
ref
appTerm
appTerm
refl
appThm
trans
3990
remove
refl
3994
def
3716
remove
appThm
eqMp
sym
503
ref
refl
3995
def
nil
3616
remove
3163
ref
3623
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3996
def
3207
ref
subst
appThm
3756
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3757
remove
85
ref
3986
ref
cons
nil
cons
3997
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
3761
remove
3987
remove
cons
nil
cons
cons
3998
def
57
ref
subst
3998
remove
129
ref
subst
3992
remove
"_32215"
1
ref
var
3999
def
503
ref
3136
ref
3999
remove
varTerm
appTerm
3623
remove
appTerm
181
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
3993
remove
503
ref
3944
remove
appTerm
refl
appThm
trans
3994
remove
3766
remove
appThm
eqMp
sym
3995
remove
3996
remove
3165
ref
subst
appThm
3595
remove
1470
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3787
ref
3997
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
3790
remove
nil
3787
remove
3791
remove
991
ref
3986
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
163
ref
164
ref
3984
ref
nil
cons
cons
192
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
3984
remove
appTerm
nil
cons
cons
3982
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
3678
remove
nil
cons
cons
240
ref
3545
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1177
ref
subst
eqMp
eqMp
nil
83
ref
3980
remove
cons
85
ref
3981
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3977
remove
appTerm
nil
cons
cons
36
ref
3978
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3979
remove
165
ref
3721
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
83
ref
3961
remove
cons
85
ref
3964
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
3956
remove
cons
85
ref
3958
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3945
remove
appTerm
3955
remove
appTerm
nil
cons
cons
36
ref
33
ref
3927
ref
appTerm
nil
cons
4000
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3927
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
3929
ref
appThm
3927
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
1838
ref
3929
remove
absThm
appThm
appThm
nil
2054
ref
3927
remove
nil
cons
4001
def
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
nil
35
ref
4000
remove
cons
36
ref
3928
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4001
remove
cons
1899
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
3957
remove
36
ref
3925
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3971
remove
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3923
remove
nil
cons
cons
36
ref
3922
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3921
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
3918
remove
appTerm
nil
cons
cons
36
ref
3919
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
3920
remove
393
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
315
ref
3911
ref
appTerm
nil
cons
cons
36
ref
3912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
3911
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3910
remove
nil
cons
cons
36
ref
3909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
3908
remove
nil
cons
cons
1899
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
3907
remove
nil
cons
cons
3905
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
3972
remove
1410
ref
626
ref
625
ref
1683
remove
nil
175
ref
256
remove
nil
cons
cons
nil
cons
nil
cons
cons
734
ref
subst
subst
appThm
3532
ref
appThm
appThm
appThm
3795
remove
appThm
appThm
nil
70
ref
357
ref
444
ref
210
ref
602
ref
appTerm
3465
ref
appTerm
appTerm
appTerm
3797
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
3891
remove
refl
3799
remove
appThm
appThm
sym
286
ref
1410
ref
626
ref
625
ref
572
ref
appThm
3532
remove
appThm
3823
remove
trans
appThm
appThm
3818
ref
appThm
appThm
1410
ref
626
ref
3826
ref
266
ref
appThm
3828
remove
765
ref
subst
3829
remove
trans
trans
appThm
appThm
3818
remove
appThm
appThm
nil
70
ref
357
ref
444
ref
3824
remove
appTerm
appTerm
3819
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
eqMp
nil
2091
remove
85
ref
3904
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
3899
remove
cons
85
ref
3900
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
3889
remove
appTerm
3898
remove
appTerm
nil
cons
cons
36
ref
33
ref
3885
ref
appTerm
4002
def
nil
cons
4003
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
3885
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
3885
ref
1880
ref
appTerm
betaConv
appThm
3885
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
4
ref
3887
remove
absThm
appThm
appThm
nil
2054
ref
3885
remove
nil
cons
4004
def
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
4005
def
nil
35
ref
4003
remove
cons
36
ref
3886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4004
remove
cons
115
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
163
ref
164
ref
3860
ref
nil
cons
cons
165
ref
3863
remove
nil
cons
4006
def
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
3860
remove
appTerm
nil
cons
cons
3859
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
3340
remove
cons
4007
def
240
ref
3412
ref
nil
cons
4008
def
cons
nil
cons
cons
nil
cons
cons
1177
remove
subst
eqMp
eqMp
eqMp
163
ref
164
ref
3409
ref
nil
cons
cons
165
ref
4008
remove
cons
nil
cons
4009
def
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
3409
remove
appTerm
nil
cons
cons
3402
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
4007
remove
3345
ref
cons
nil
cons
cons
2438
ref
subst
eqMp
4010
def
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
3400
remove
cons
85
ref
3401
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
4011
def
subst
eqMp
eqMp
eqMp
eqMp
nil
3384
remove
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
35
ref
230
ref
3382
remove
appTerm
nil
cons
cons
36
ref
230
ref
3397
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
3884
remove
3883
ref
57
ref
subst
3883
remove
129
ref
subst
nil
35
ref
3367
ref
cons
285
ref
cons
nil
cons
cons
108
ref
subst
4012
def
nil
70
ref
3367
remove
cons
nil
cons
nil
cons
cons
881
ref
subst
nil
70
ref
3401
remove
cons
nil
cons
nil
cons
cons
885
ref
subst
trans
sym
4010
remove
eqMp
eqMp
eqMp
nil
83
ref
3405
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
3331
ref
40
ref
46
ref
15
ref
3374
ref
appTerm
4013
def
3371
ref
appTerm
4014
def
appTerm
4015
def
230
ref
3348
ref
appTerm
appTerm
appTerm
3425
ref
"k1"
3
ref
var
4016
def
3425
ref
"k2"
3
ref
var
4017
def
1994
ref
1840
ref
3425
ref
1838
ref
46
ref
3347
ref
3414
ref
4016
ref
varTerm
4018
def
appTerm
4019
def
1881
ref
appTerm
4020
def
appTerm
4021
def
appTerm
3878
ref
3414
ref
4017
ref
varTerm
4022
def
appTerm
4023
def
359
ref
3767
ref
appTerm
4024
def
1880
ref
appTerm
appTerm
4025
def
appTerm
4026
def
appTerm
4027
def
absTerm
4028
def
appTerm
4029
def
absTerm
4030
def
appTerm
4031
def
absTerm
4032
def
appTerm
4033
def
absTerm
4034
def
appTerm
4035
def
appTerm
4036
def
absTerm
4037
def
3336
ref
appTerm
4038
def
betaConv
3332
ref
33
ref
4037
ref
appTerm
4039
def
absTerm
4040
def
3333
ref
appTerm
4041
def
betaConv
4042
def
286
ref
465
ref
nil
165
ref
3457
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
appThm
238
ref
nil
3210
ref
nil
cons
cons
3300
ref
subst
appThm
969
ref
trans
appThm
976
remove
711
ref
subst
trans
appThm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
1840
ref
3425
ref
1838
ref
46
ref
173
ref
6
ref
appTerm
4043
def
4020
remove
appTerm
appTerm
4044
def
4043
ref
4025
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4045
def
refl
appThm
nil
70
ref
4045
ref
nil
cons
cons
nil
cons
nil
cons
cons
1281
ref
subst
trans
sym
76
ref
eqMp
nil
35
ref
40
ref
46
ref
15
ref
3452
ref
appTerm
4046
def
3452
ref
appTerm
appTerm
230
ref
4043
ref
6
ref
appTerm
appTerm
appTerm
appTerm
4045
remove
appTerm
4047
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
40
ref
46
ref
4046
ref
3465
ref
appTerm
appTerm
230
ref
4043
ref
1880
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
1840
ref
3425
ref
"t'"
3
ref
var
4048
def
46
ref
4043
ref
4019
ref
1879
ref
4048
ref
varTerm
4049
def
appTerm
4050
def
appTerm
4051
def
appTerm
appTerm
173
ref
1880
ref
appTerm
4052
def
4023
ref
4024
ref
4049
ref
appTerm
4053
def
appTerm
4054
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4055
def
appTerm
40
ref
46
ref
4046
ref
3471
ref
appTerm
appTerm
230
ref
4043
ref
1881
ref
appTerm
appTerm
4056
def
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
2017
ref
3425
ref
4048
ref
46
ref
4043
ref
4019
ref
2019
ref
4049
ref
appTerm
4057
def
appTerm
4058
def
appTerm
appTerm
173
ref
1881
ref
appTerm
4059
def
4023
ref
359
ref
230
ref
2018
ref
appTerm
appTerm
4060
def
4049
ref
appTerm
appTerm
4061
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4062
def
appTerm
4063
def
appTerm
4064
def
absTerm
4065
def
appTerm
4066
def
absTerm
4067
def
appTerm
4068
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
4067
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
4066
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4065
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
4064
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4055
remove
nil
cons
4069
def
cons
36
ref
4063
remove
nil
cons
4070
def
cons
nil
cons
cons
nil
cons
cons
4071
def
57
ref
subst
4071
remove
129
ref
subst
286
ref
465
ref
239
ref
3459
ref
appThm
3661
ref
appThm
3822
ref
238
ref
1070
remove
269
ref
appTerm
4072
def
assume
sym
271
remove
assume
sym
deductAntisym
appThm
276
remove
eqMp
nil
35
ref
230
ref
4072
ref
appTerm
nil
cons
cons
36
ref
39
ref
4072
ref
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
83
ref
4072
remove
nil
cons
cons
nil
cons
nil
cons
cons
321
ref
subst
eqMp
subst
trans
appThm
4056
ref
refl
appThm
nil
70
ref
4056
remove
nil
cons
cons
nil
cons
nil
cons
cons
975
ref
subst
trans
appThm
4062
ref
refl
appThm
nil
70
ref
4062
remove
nil
cons
cons
nil
cons
nil
cons
cons
1281
ref
subst
trans
sym
76
ref
eqMp
eqMp
nil
83
ref
4069
remove
cons
85
ref
4070
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
4047
remove
appTerm
4068
remove
appTerm
nil
cons
cons
36
ref
33
ref
3331
ref
40
ref
46
ref
4046
remove
3371
ref
appTerm
appTerm
230
ref
4043
ref
3336
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
1840
ref
3425
ref
1838
ref
4044
remove
4026
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4073
def
appTerm
4074
def
nil
cons
4075
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
4073
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
4073
ref
1880
ref
appTerm
betaConv
appThm
4073
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
3331
ref
4073
ref
3336
ref
appTerm
betaConv
absThm
appThm
appThm
nil
2054
ref
4073
remove
nil
cons
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
nil
35
ref
4075
remove
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
33
ref
3331
ref
40
ref
46
ref
15
ref
3465
remove
appTerm
4076
def
3371
ref
appTerm
appTerm
230
ref
4052
ref
3336
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
1840
ref
3425
ref
4048
ref
46
ref
4052
ref
4051
remove
appTerm
appTerm
3878
ref
4054
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4077
def
appTerm
4078
def
appTerm
33
ref
3331
ref
40
ref
46
ref
15
ref
3471
remove
appTerm
4079
def
3371
ref
appTerm
appTerm
230
ref
4059
ref
3336
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
2017
ref
3425
ref
4048
ref
46
ref
4059
ref
4058
remove
appTerm
appTerm
4080
def
3878
ref
4061
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
4081
def
appTerm
4082
def
appTerm
4083
def
absTerm
4084
def
appTerm
4085
def
absTerm
4086
def
appTerm
4087
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
4086
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
4085
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4084
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
4083
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4078
remove
nil
cons
4088
def
cons
4089
def
36
ref
4082
remove
nil
cons
4090
def
cons
nil
cons
4091
def
cons
nil
cons
cons
4092
def
57
ref
subst
4092
remove
129
ref
subst
286
ref
465
ref
239
ref
3661
ref
appThm
4093
def
3459
ref
appThm
3822
remove
322
remove
subst
trans
appThm
230
ref
4059
ref
6
ref
appTerm
appTerm
4094
def
refl
appThm
nil
70
ref
4094
ref
nil
cons
cons
nil
cons
nil
cons
cons
975
ref
subst
trans
appThm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
2017
ref
3425
ref
4048
ref
4080
remove
4043
remove
4061
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4095
def
refl
appThm
nil
70
ref
4095
ref
nil
cons
cons
nil
cons
nil
cons
cons
1281
remove
subst
trans
sym
76
ref
eqMp
nil
35
ref
40
ref
46
ref
4079
ref
3452
remove
appTerm
appTerm
4094
remove
appTerm
appTerm
4095
remove
appTerm
4096
def
nil
cons
cons
36
ref
315
ref
2017
ref
33
ref
4048
ref
40
ref
40
ref
46
ref
4079
ref
3370
ref
4049
ref
appTerm
4097
def
appTerm
appTerm
230
ref
4059
ref
4049
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
2017
ref
3425
ref
"t''"
3
ref
var
4098
def
46
ref
4059
ref
4019
ref
2019
ref
4098
ref
varTerm
4099
def
appTerm
appTerm
appTerm
appTerm
173
ref
4049
ref
appTerm
4100
def
4023
ref
4060
remove
4099
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
4101
def
appTerm
40
ref
46
ref
4079
remove
3370
ref
4057
ref
appTerm
appTerm
appTerm
230
ref
4059
ref
4057
ref
appTerm
appTerm
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
"h''"
1
ref
var
4102
def
3425
ref
4098
ref
46
ref
4059
ref
4019
ref
359
ref
4102
ref
varTerm
4103
def
appTerm
4099
ref
appTerm
4104
def
appTerm
4105
def
appTerm
appTerm
173
remove
4057
ref
appTerm
4106
def
4023
ref
359
ref
230
ref
4103
ref
appTerm
appTerm
4099
ref
appTerm
4107
def
appTerm
4108
def
appTerm
4109
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4110
def
appTerm
4111
def
appTerm
4112
def
appTerm
4113
def
absTerm
4114
def
appTerm
4115
def
absTerm
4116
def
appTerm
4117
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
4116
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
2017
ref
nil
70
ref
4115
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4114
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4048
ref
nil
70
ref
4113
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4101
remove
nil
cons
4118
def
cons
36
ref
4112
remove
nil
cons
4119
def
cons
nil
cons
cons
nil
cons
cons
4120
def
57
ref
subst
4120
remove
129
ref
subst
286
ref
465
ref
4093
remove
nil
1838
ref
4049
ref
nil
cons
4121
def
cons
2034
ref
cons
nil
cons
cons
3661
ref
subst
appThm
nil
175
ref
4097
ref
nil
cons
4122
def
cons
3827
ref
cons
nil
cons
cons
175
ref
39
ref
627
remove
269
ref
appTerm
appTerm
646
remove
appTerm
absTerm
4123
def
181
ref
appTerm
4124
def
betaConv
240
ref
155
ref
4123
ref
appTerm
4125
def
absTerm
4126
def
242
ref
appTerm
4127
def
betaConv
nil
155
ref
4126
ref
appTerm
4128
def
axiom
nil
35
ref
4128
remove
nil
cons
cons
36
ref
4127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4126
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4125
remove
nil
cons
cons
36
ref
4124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4123
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4129
def
subst
trans
appThm
238
ref
nil
326
ref
4121
ref
cons
4130
def
"h2"
1
ref
var
4131
def
2032
ref
cons
4132
def
328
ref
1898
ref
cons
"h1"
1
ref
var
4133
def
1896
ref
cons
nil
cons
4134
def
cons
cons
cons
nil
cons
cons
695
ref
"t2"
1844
ref
var
4135
def
39
ref
3303
ref
1851
ref
"h1"
116
ref
var
4136
def
varTerm
4137
def
appTerm
"t1"
1844
ref
var
4138
def
varTerm
4139
def
appTerm
appTerm
1851
remove
"h2"
116
ref
var
4140
def
varTerm
4141
def
appTerm
4135
remove
varTerm
4142
def
appTerm
appTerm
appTerm
46
ref
333
ref
4137
ref
appTerm
4141
ref
appTerm
appTerm
3303
ref
4139
ref
appTerm
4142
ref
appTerm
appTerm
appTerm
absTerm
4143
def
4142
ref
appTerm
4144
def
betaConv
4138
remove
1862
ref
4143
ref
appTerm
4145
def
absTerm
4146
def
4139
ref
appTerm
4147
def
betaConv
4140
remove
1862
ref
4146
ref
appTerm
4148
def
absTerm
4149
def
4141
ref
appTerm
4150
def
betaConv
4136
remove
119
ref
4149
ref
appTerm
4151
def
absTerm
4152
def
4137
ref
appTerm
4153
def
betaConv
nil
119
ref
4152
ref
appTerm
4154
def
axiom
nil
35
ref
4154
remove
nil
cons
cons
36
ref
4153
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4152
remove
nil
cons
cons
124
ref
4137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4151
remove
nil
cons
cons
36
ref
4150
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4149
remove
nil
cons
cons
124
ref
4141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4148
remove
nil
cons
cons
36
ref
4147
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4146
remove
nil
cons
cons
1870
ref
4139
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4145
remove
nil
cons
cons
36
ref
4144
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4143
remove
nil
cons
cons
1870
ref
4142
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4155
def
subst
appThm
nil
2487
ref
4052
ref
4049
ref
appTerm
4156
def
nil
cons
4157
def
cons
319
ref
3568
remove
2018
remove
appTerm
4158
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
35
ref
39
ref
2093
ref
appTerm
4159
def
277
ref
appTerm
4160
def
nil
cons
4161
def
cons
36
ref
39
ref
230
ref
46
ref
2093
ref
appTerm
2487
ref
varTerm
4162
def
appTerm
appTerm
appTerm
415
ref
46
ref
4162
ref
appTerm
4163
def
230
ref
2093
ref
appTerm
4164
def
appTerm
appTerm
230
ref
4162
ref
appTerm
4165
def
appTerm
appTerm
nil
cons
4166
def
cons
nil
cons
4167
def
cons
nil
cons
cons
4168
def
57
ref
subst
4168
remove
129
ref
subst
39
ref
"_32245"
1
ref
var
4169
def
39
ref
230
ref
46
ref
4169
remove
varTerm
4170
def
appTerm
4162
ref
appTerm
appTerm
appTerm
415
ref
4163
ref
230
ref
4170
remove
appTerm
appTerm
appTerm
4165
ref
appTerm
appTerm
absTerm
4171
def
2093
ref
appTerm
4172
def
appTerm
refl
4173
def
4171
ref
277
ref
appTerm
betaConv
appThm
87
ref
4172
remove
betaConv
appThm
4174
def
39
ref
230
ref
971
remove
4162
ref
appTerm
appTerm
appTerm
415
ref
4163
ref
324
ref
appTerm
appTerm
4165
ref
appTerm
appTerm
refl
appThm
trans
4171
remove
refl
4175
def
4160
remove
assume
appThm
eqMp
sym
87
ref
238
ref
nil
70
ref
4162
ref
nil
cons
4176
def
cons
nil
cons
nil
cons
cons
4177
def
975
remove
subst
appThm
325
ref
trans
appThm
837
ref
4163
ref
refl
4178
def
325
ref
appThm
4177
ref
1260
ref
subst
trans
appThm
4165
ref
refl
4179
def
appThm
appThm
nil
70
ref
415
ref
4162
ref
appTerm
4165
ref
appTerm
nil
cons
4180
def
cons
nil
cons
nil
cons
cons
688
ref
subst
trans
sym
nil
35
ref
39
ref
4162
ref
appTerm
4181
def
277
ref
appTerm
4182
def
nil
cons
4183
def
cons
4184
def
36
ref
4180
ref
cons
nil
cons
4185
def
cons
nil
cons
cons
4186
def
57
ref
subst
4186
remove
129
ref
subst
39
ref
"_32249"
1
ref
var
4187
def
415
ref
4187
remove
varTerm
4188
def
appTerm
230
ref
4188
remove
appTerm
appTerm
absTerm
4189
def
4162
ref
appTerm
4190
def
appTerm
refl
4191
def
4189
ref
277
ref
appTerm
betaConv
appThm
87
ref
4190
remove
betaConv
appThm
4192
def
940
remove
324
ref
appTerm
refl
appThm
trans
4189
remove
refl
4193
def
4182
remove
assume
4194
def
appThm
eqMp
sym
2933
remove
947
ref
subst
325
ref
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
4183
ref
cons
4195
def
85
ref
4180
ref
cons
nil
cons
4196
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
4181
ref
62
ref
appTerm
4197
def
nil
cons
4198
def
cons
4199
def
4185
remove
cons
nil
cons
cons
4200
def
57
ref
subst
4200
remove
129
ref
subst
4191
remove
"_32247"
1
ref
var
4201
def
415
ref
4201
remove
varTerm
4202
def
appTerm
230
ref
4202
remove
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4192
remove
961
remove
962
ref
appTerm
refl
appThm
trans
4193
remove
4197
remove
assume
4203
def
appThm
eqMp
sym
2945
remove
968
remove
subst
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
4198
remove
cons
4204
def
4196
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
4162
ref
appTerm
4205
def
betaConv
986
ref
nil
987
ref
36
ref
4205
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
319
ref
4176
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4206
def
nil
4204
ref
85
ref
4183
remove
cons
4207
def
991
ref
4180
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
83
ref
4161
ref
cons
85
ref
4166
ref
cons
nil
cons
4208
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
4159
ref
62
ref
appTerm
4209
def
nil
cons
4210
def
cons
4167
remove
cons
nil
cons
cons
4211
def
57
ref
subst
4211
remove
129
ref
subst
4173
remove
"_32243"
1
ref
var
4212
def
39
ref
230
ref
46
ref
4212
remove
varTerm
4213
def
appTerm
4162
ref
appTerm
appTerm
appTerm
415
ref
4163
ref
230
ref
4213
remove
appTerm
appTerm
appTerm
4165
ref
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4174
remove
39
ref
230
ref
707
remove
4162
ref
appTerm
appTerm
appTerm
415
ref
4163
remove
962
ref
appTerm
appTerm
4165
ref
appTerm
appTerm
refl
appThm
trans
4175
remove
4209
remove
assume
appThm
eqMp
sym
87
ref
238
ref
4177
ref
711
ref
subst
appThm
appThm
837
remove
4178
remove
969
ref
appThm
4177
remove
1061
remove
subst
trans
appThm
4179
remove
appThm
nil
70
ref
4165
ref
nil
cons
4214
def
cons
nil
cons
nil
cons
cons
947
remove
subst
trans
appThm
nil
319
ref
4214
remove
cons
nil
cons
nil
cons
cons
696
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
4210
remove
cons
4215
def
4208
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
ref
2093
ref
appTerm
4216
def
betaConv
986
ref
nil
987
ref
36
ref
4216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
ref
319
ref
2093
ref
nil
cons
4217
def
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
4215
remove
85
ref
4161
remove
cons
991
ref
4166
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
subst
trans
appThm
appThm
4111
ref
refl
4218
def
appThm
sym
nil
35
ref
46
ref
4076
remove
4097
ref
appTerm
4219
def
appTerm
4220
def
415
ref
46
ref
4156
ref
appTerm
230
ref
4158
remove
appTerm
4221
def
appTerm
4222
def
appTerm
230
ref
4156
ref
appTerm
4223
def
appTerm
4224
def
appTerm
nil
cons
4225
def
cons
36
ref
4111
ref
nil
cons
4226
def
cons
nil
cons
4227
def
cons
nil
cons
cons
4228
def
57
ref
subst
4228
remove
129
ref
subst
nil
83
ref
4219
ref
nil
cons
cons
85
ref
4224
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4229
def
99
ref
subst
4229
remove
305
ref
subst
nil
35
ref
4223
ref
nil
cons
4230
def
cons
4231
def
4227
ref
cons
nil
cons
cons
4232
def
57
ref
subst
4232
remove
129
ref
subst
4077
ref
4049
ref
appTerm
4233
def
betaConv
nil
4089
remove
36
ref
4233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
111
ref
112
ref
4077
remove
nil
cons
cons
113
ref
4121
ref
cons
nil
cons
4234
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
40
ref
4220
remove
4223
remove
appTerm
appTerm
3425
ref
4016
ref
3425
ref
4017
ref
1994
ref
1840
ref
3425
ref
4098
ref
46
ref
4052
ref
4019
ref
1879
ref
4099
ref
appTerm
4235
def
appTerm
appTerm
appTerm
4100
ref
4023
ref
4024
remove
4099
ref
appTerm
4236
def
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4237
def
appTerm
4238
def
absTerm
4239
def
appTerm
4240
def
absTerm
4241
def
appTerm
4242
def
appTerm
nil
cons
cons
4227
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
286
ref
465
ref
239
ref
4219
remove
assume
appThm
4097
remove
refl
appThm
nil
165
ref
4122
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
appThm
238
ref
nil
4231
remove
36
ref
39
ref
4156
ref
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
83
ref
4157
remove
cons
4243
def
nil
cons
nil
cons
cons
321
remove
subst
eqMp
appThm
325
ref
trans
appThm
782
ref
trans
appThm
4242
ref
refl
appThm
nil
70
ref
4242
ref
nil
cons
cons
nil
cons
nil
cons
cons
1415
ref
subst
trans
appThm
4218
remove
appThm
sym
nil
112
ref
4016
ref
40
ref
4241
ref
4018
ref
appTerm
4244
def
appTerm
4111
ref
appTerm
4245
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4016
ref
nil
70
ref
4245
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4244
ref
nil
cons
4246
def
cons
4227
ref
cons
nil
cons
cons
4247
def
57
ref
subst
4247
remove
129
ref
subst
4244
ref
betaConv
4244
remove
assume
eqMp
nil
35
ref
4240
ref
nil
cons
cons
4227
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
112
ref
4017
ref
40
ref
4239
ref
4022
ref
appTerm
4248
def
appTerm
4111
ref
appTerm
4249
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4017
ref
nil
70
ref
4249
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4248
ref
nil
cons
4250
def
cons
4227
ref
cons
nil
cons
cons
4251
def
57
ref
subst
4251
remove
129
ref
subst
4248
ref
betaConv
4248
remove
assume
eqMp
nil
35
ref
4238
ref
nil
cons
cons
4227
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
318
ref
4102
ref
40
ref
4237
ref
4103
ref
appTerm
4252
def
appTerm
4111
ref
appTerm
4253
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
4102
ref
nil
70
ref
4253
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4252
ref
nil
cons
4254
def
cons
4227
ref
cons
nil
cons
cons
4255
def
57
ref
subst
4255
remove
129
ref
subst
4252
ref
betaConv
4252
remove
assume
eqMp
nil
35
ref
3425
ref
4098
ref
46
ref
4052
remove
4105
ref
appTerm
4256
def
appTerm
4100
remove
4108
ref
appTerm
4257
def
appTerm
4258
def
absTerm
4259
def
appTerm
4260
def
nil
cons
cons
4227
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
112
ref
4098
ref
40
ref
4259
ref
4099
ref
appTerm
4261
def
appTerm
4111
ref
appTerm
4262
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4098
ref
nil
70
ref
4262
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4261
ref
nil
cons
4263
def
cons
4227
ref
cons
nil
cons
cons
4264
def
57
ref
subst
4264
remove
129
ref
subst
4261
ref
betaConv
4261
remove
assume
eqMp
nil
35
ref
4258
remove
nil
cons
4265
def
cons
4227
ref
cons
nil
cons
cons
4266
def
108
ref
subst
proveHyp
4266
ref
57
ref
subst
4266
remove
129
ref
subst
nil
83
ref
4256
ref
nil
cons
cons
85
ref
4257
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4267
def
99
ref
subst
4267
remove
305
ref
subst
4110
ref
1879
ref
4018
ref
appTerm
4268
def
appTerm
betaConv
sym
4017
ref
1994
ref
4102
ref
3425
ref
4098
ref
46
ref
4059
ref
3414
ref
4268
ref
appTerm
4104
ref
appTerm
appTerm
appTerm
4269
def
4109
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4270
def
2019
ref
4022
ref
appTerm
4271
def
appTerm
betaConv
sym
4102
ref
3425
ref
4098
ref
4269
remove
4106
ref
3414
ref
4271
ref
appTerm
4107
ref
appTerm
appTerm
appTerm
absTerm
4272
def
appTerm
absTerm
4273
def
4103
ref
appTerm
betaConv
sym
4272
ref
4099
ref
appTerm
betaConv
sym
465
ref
174
ref
1879
remove
refl
4274
def
4256
remove
assume
appThm
appThm
nil
4
ref
4104
ref
nil
cons
cons
1838
ref
4018
ref
nil
cons
4275
def
cons
nil
cons
cons
nil
cons
cons
3494
ref
subst
appThm
nil
326
ref
4105
remove
nil
cons
4276
def
cons
4131
ref
1896
ref
cons
4277
def
328
ref
4276
ref
cons
4134
ref
cons
cons
cons
nil
cons
cons
4155
ref
subst
465
ref
nil
1897
ref
nil
cons
cons
696
ref
subst
appThm
4278
def
nil
113
ref
4276
remove
cons
nil
cons
nil
cons
cons
3300
ref
subst
appThm
782
ref
trans
trans
trans
appThm
174
ref
2019
remove
refl
4257
remove
assume
appThm
appThm
nil
4
ref
4107
ref
nil
cons
cons
1838
ref
4022
ref
nil
cons
4279
def
cons
2034
remove
cons
cons
nil
cons
cons
3494
remove
subst
appThm
nil
326
remove
4108
remove
nil
cons
4280
def
cons
4132
remove
328
ref
4280
ref
cons
4133
remove
2032
remove
cons
nil
cons
4281
def
cons
cons
cons
nil
cons
cons
4155
ref
subst
465
ref
nil
3789
ref
nil
cons
cons
696
ref
subst
appThm
nil
113
ref
4280
remove
cons
nil
cons
nil
cons
cons
3300
ref
subst
appThm
782
ref
trans
trans
trans
appThm
782
ref
trans
sym
76
ref
eqMp
eqMp
111
ref
112
ref
4272
remove
nil
cons
cons
113
ref
4099
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
317
ref
318
ref
4273
remove
nil
cons
cons
319
ref
4103
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
111
ref
112
ref
4270
remove
nil
cons
cons
113
ref
4271
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
111
ref
112
ref
4110
ref
nil
cons
cons
4282
def
113
ref
4268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
4265
remove
cons
85
ref
4226
ref
cons
nil
cons
4283
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
4263
remove
cons
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
4259
ref
2499
ref
appTerm
appTerm
4111
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4260
remove
appTerm
4111
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4259
remove
nil
cons
cons
4283
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4254
remove
cons
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
315
ref
319
ref
40
ref
4237
ref
2093
ref
appTerm
appTerm
4111
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4238
remove
appTerm
4111
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
4237
remove
nil
cons
cons
4283
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4250
remove
cons
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
4239
ref
2499
ref
appTerm
appTerm
4111
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4240
remove
appTerm
4111
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4239
remove
nil
cons
cons
4283
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4246
remove
cons
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
4241
ref
2499
ref
appTerm
appTerm
4111
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4242
remove
appTerm
4111
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4241
remove
nil
cons
cons
4283
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
83
ref
4230
ref
cons
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
4222
remove
nil
cons
4284
def
cons
4227
remove
cons
nil
cons
cons
4285
def
57
ref
subst
4285
remove
129
ref
subst
nil
4243
remove
85
ref
4221
remove
nil
cons
4286
def
cons
nil
cons
cons
nil
cons
cons
4287
def
99
ref
subst
4287
remove
305
ref
subst
4110
remove
6
ref
appTerm
betaConv
sym
4017
ref
1994
remove
4102
ref
3425
ref
4098
ref
46
ref
4059
ref
3448
ref
4104
remove
appTerm
appTerm
appTerm
4288
def
4109
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4289
def
6
ref
appTerm
betaConv
sym
4102
remove
3425
remove
4098
ref
4288
remove
4106
ref
3448
ref
4107
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
4290
def
1878
ref
appTerm
betaConv
sym
4098
remove
46
ref
4059
remove
3448
ref
4235
remove
appTerm
appTerm
appTerm
4106
ref
3448
remove
4236
remove
appTerm
appTerm
appTerm
absTerm
4291
def
4049
ref
appTerm
betaConv
sym
465
ref
174
remove
4274
remove
4156
remove
assume
appThm
appThm
nil
4
ref
4050
remove
nil
cons
cons
nil
cons
nil
cons
cons
695
ref
2058
remove
3303
ref
3420
ref
1902
ref
appTerm
2059
ref
appTerm
appTerm
2059
ref
appTerm
absTerm
4292
def
2059
remove
appTerm
4293
def
betaConv
nil
1862
ref
4292
ref
appTerm
4294
def
axiom
nil
35
ref
4294
remove
nil
cons
cons
36
ref
4293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4292
remove
nil
cons
cons
3307
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4295
def
subst
appThm
nil
4130
ref
4277
remove
328
remove
4121
remove
cons
4296
def
4134
remove
cons
cons
cons
nil
cons
cons
4155
ref
subst
4278
remove
nil
4234
ref
nil
cons
cons
3300
remove
subst
4297
def
appThm
782
ref
trans
trans
trans
appThm
4106
remove
refl
nil
4
ref
4053
remove
nil
cons
cons
nil
cons
nil
cons
cons
4295
ref
subst
appThm
nil
4130
remove
4131
remove
3768
ref
cons
4296
remove
4281
remove
cons
cons
cons
nil
cons
cons
4155
remove
subst
46
ref
3701
remove
3767
remove
appTerm
4298
def
appTerm
refl
4297
remove
appThm
nil
70
ref
4298
remove
nil
cons
4299
def
cons
nil
cons
nil
cons
cons
4300
def
1260
ref
subst
trans
trans
trans
appThm
4300
remove
711
remove
subst
trans
sym
nil
35
ref
4286
remove
cons
36
ref
4299
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
2487
ref
1896
remove
cons
3789
remove
cons
nil
cons
cons
nil
4184
remove
36
ref
40
ref
230
ref
4181
remove
2093
ref
appTerm
appTerm
appTerm
4159
ref
4165
remove
appTerm
appTerm
4301
def
nil
cons
4302
def
cons
nil
cons
4303
def
cons
nil
cons
cons
4304
def
57
ref
subst
4304
remove
129
ref
subst
39
ref
"_32241"
1
ref
var
4305
def
40
ref
230
ref
39
ref
4305
remove
varTerm
4306
def
appTerm
2093
ref
appTerm
appTerm
appTerm
4159
ref
230
ref
4306
remove
appTerm
appTerm
appTerm
absTerm
4307
def
4162
ref
appTerm
appTerm
refl
4308
def
4307
remove
277
ref
appTerm
betaConv
appThm
87
ref
2487
remove
4301
remove
absTerm
4309
def
4162
remove
appTerm
betaConv
appThm
4310
def
40
ref
230
ref
314
remove
2093
ref
appTerm
appTerm
appTerm
4159
ref
324
ref
appTerm
appTerm
refl
appThm
trans
4309
remove
refl
4311
def
4194
remove
appThm
eqMp
sym
286
ref
238
ref
nil
70
ref
4217
remove
cons
nil
cons
nil
cons
cons
4312
def
980
remove
subst
appThm
4312
ref
885
ref
subst
trans
appThm
4159
ref
refl
4313
def
325
ref
appThm
4312
ref
70
ref
39
ref
75
remove
appTerm
73
ref
appTerm
absTerm
4314
def
73
remove
appTerm
4315
def
betaConv
nil
315
ref
4314
ref
appTerm
4316
def
axiom
nil
35
ref
4316
remove
nil
cons
cons
36
ref
4315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
4314
remove
nil
cons
cons
527
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
4317
def
subst
trans
appThm
4312
ref
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
4195
remove
85
ref
4302
ref
cons
nil
cons
4318
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
4199
remove
4303
remove
cons
nil
cons
cons
4319
def
57
ref
subst
4319
remove
129
ref
subst
4308
remove
"_32239"
1
ref
var
4320
def
40
ref
230
ref
39
ref
4320
remove
varTerm
4321
def
appTerm
2093
ref
appTerm
appTerm
appTerm
4159
ref
230
ref
4321
remove
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4310
remove
40
ref
230
ref
684
remove
2093
ref
appTerm
appTerm
appTerm
4159
remove
962
ref
appTerm
appTerm
refl
appThm
trans
4311
remove
4203
remove
appThm
eqMp
sym
286
ref
238
ref
4312
ref
688
remove
subst
appThm
appThm
4313
remove
969
ref
appThm
4312
remove
806
remove
subst
trans
appThm
nil
70
ref
4164
remove
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
4204
ref
4318
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
4206
remove
nil
4204
remove
4207
remove
991
ref
4302
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
eqMp
111
ref
112
ref
4291
remove
nil
cons
cons
4234
remove
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
317
ref
318
ref
4290
remove
nil
cons
cons
1897
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
111
ref
112
ref
4289
remove
nil
cons
cons
3210
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
111
ref
4282
remove
3210
remove
cons
nil
cons
cons
1109
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
4284
remove
cons
4322
def
4283
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
4322
remove
85
ref
4230
remove
cons
991
ref
4226
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
4225
remove
cons
4283
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
4118
remove
cons
85
ref
4119
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
4096
remove
appTerm
4117
remove
appTerm
nil
cons
cons
4091
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
4081
ref
6
ref
appTerm
betaConv
appThm
1387
ref
2017
remove
2051
ref
4048
remove
286
ref
4081
ref
4049
remove
appTerm
betaConv
appThm
4081
ref
4057
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
3331
ref
4081
ref
3336
ref
appTerm
betaConv
absThm
appThm
appThm
nil
2054
ref
4081
remove
nil
cons
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4088
remove
cons
85
ref
4090
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
4074
remove
appTerm
4087
remove
appTerm
nil
cons
cons
36
ref
33
ref
4040
ref
appTerm
nil
cons
4323
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
4040
ref
6
ref
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
4040
ref
1880
ref
appTerm
betaConv
appThm
4040
ref
1881
ref
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
3332
ref
4042
remove
absThm
appThm
appThm
nil
2054
ref
4040
remove
nil
cons
4324
def
cons
nil
cons
nil
cons
cons
2064
ref
subst
eqMp
eqMp
nil
35
ref
4323
remove
cons
36
ref
4041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4324
remove
cons
3832
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4039
remove
nil
cons
cons
36
ref
4038
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4037
remove
nil
cons
cons
3794
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4036
ref
nil
cons
cons
3358
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
35
ref
39
ref
3348
ref
appTerm
4325
def
277
ref
appTerm
4326
def
nil
cons
4327
def
cons
36
ref
40
ref
4036
remove
appTerm
3348
ref
appTerm
nil
cons
4328
def
cons
nil
cons
4329
def
cons
nil
cons
cons
4330
def
57
ref
subst
4330
remove
129
ref
subst
39
ref
"_32253"
1
ref
var
4331
def
40
ref
40
ref
4015
ref
230
ref
4331
remove
varTerm
4332
def
appTerm
appTerm
appTerm
4035
ref
appTerm
appTerm
4332
remove
appTerm
absTerm
4333
def
3348
ref
appTerm
4334
def
appTerm
refl
4335
def
4333
ref
277
ref
appTerm
betaConv
appThm
87
ref
4334
remove
betaConv
appThm
4336
def
40
ref
40
ref
4015
ref
324
ref
appTerm
appTerm
4035
ref
appTerm
4337
def
appTerm
277
ref
appTerm
refl
appThm
trans
4333
remove
refl
4338
def
4326
remove
assume
appThm
eqMp
sym
nil
70
ref
4337
remove
nil
cons
cons
nil
cons
nil
cons
cons
881
ref
subst
238
ref
286
ref
465
ref
239
ref
4014
ref
assume
4339
def
appThm
3371
ref
refl
appThm
nil
165
ref
3372
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
appThm
325
ref
appThm
782
ref
trans
appThm
4035
ref
refl
appThm
nil
70
ref
4035
ref
nil
cons
4340
def
cons
nil
cons
nil
cons
cons
1415
remove
subst
trans
appThm
trans
sym
nil
83
ref
4340
remove
cons
nil
cons
nil
cons
cons
3385
remove
subst
nil
112
ref
4016
ref
40
ref
4034
ref
4018
ref
appTerm
4341
def
appTerm
277
ref
appTerm
4342
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4016
remove
nil
70
ref
4342
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4341
ref
nil
cons
4343
def
cons
285
ref
cons
nil
cons
cons
4344
def
57
ref
subst
4344
remove
129
ref
subst
4341
ref
betaConv
4341
remove
assume
eqMp
nil
35
ref
4033
ref
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
112
ref
4017
ref
40
ref
4032
ref
4022
ref
appTerm
4345
def
appTerm
277
ref
appTerm
4346
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
4017
remove
nil
70
ref
4346
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4345
ref
nil
cons
4347
def
cons
285
ref
cons
nil
cons
cons
4348
def
57
ref
subst
4348
remove
129
ref
subst
4345
ref
betaConv
4345
remove
assume
eqMp
nil
35
ref
4031
ref
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
318
ref
1840
ref
40
ref
4030
ref
1878
ref
appTerm
4349
def
appTerm
277
ref
appTerm
4350
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
4350
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4349
ref
nil
cons
4351
def
cons
285
ref
cons
nil
cons
cons
4352
def
57
ref
subst
4352
remove
129
ref
subst
4349
ref
betaConv
4349
remove
assume
eqMp
nil
35
ref
4029
ref
nil
cons
cons
285
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
112
ref
1838
ref
40
ref
4028
ref
1880
ref
appTerm
4353
def
appTerm
277
ref
appTerm
4354
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
4354
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4353
ref
nil
cons
4355
def
cons
285
ref
cons
nil
cons
cons
4356
def
57
ref
subst
4356
remove
129
ref
subst
4353
ref
betaConv
4353
remove
assume
eqMp
nil
35
ref
4027
remove
nil
cons
4357
def
cons
285
ref
cons
nil
cons
cons
4358
def
108
ref
subst
proveHyp
4358
ref
57
ref
subst
4358
remove
129
ref
subst
nil
83
ref
4021
ref
nil
cons
cons
85
ref
4026
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4359
def
99
ref
subst
4359
remove
305
ref
subst
nil
3769
remove
285
ref
cons
nil
cons
cons
4360
def
57
ref
subst
4360
remove
129
ref
subst
4012
remove
39
ref
"_32305"
3
ref
var
4361
def
40
ref
230
ref
3351
ref
18
ref
4361
remove
varTerm
appTerm
appTerm
appTerm
appTerm
277
ref
appTerm
absTerm
4362
def
3336
ref
appTerm
4363
def
appTerm
refl
4362
ref
4023
ref
359
ref
324
remove
appTerm
1880
ref
appTerm
4364
def
appTerm
4365
def
appTerm
betaConv
appThm
87
ref
4363
remove
betaConv
appThm
40
ref
230
ref
3351
ref
18
ref
4365
ref
appTerm
4366
def
appTerm
appTerm
appTerm
277
ref
appTerm
refl
appThm
trans
4362
remove
refl
39
ref
"_32303"
1
ref
var
4367
def
3878
ref
4023
ref
359
ref
230
ref
4367
remove
varTerm
appTerm
appTerm
1880
ref
appTerm
appTerm
appTerm
absTerm
4368
def
1878
ref
appTerm
4369
def
appTerm
refl
4370
def
4368
ref
277
ref
appTerm
betaConv
appThm
87
ref
4369
remove
betaConv
appThm
4371
def
3878
ref
4365
ref
appTerm
refl
appThm
trans
4368
remove
refl
4372
def
3780
ref
appThm
eqMp
4026
remove
assume
4373
def
eqMp
4374
def
appThm
eqMp
sym
39
ref
"_32317"
3
ref
var
4375
def
40
ref
230
ref
200
ref
18
ref
4375
remove
varTerm
appTerm
appTerm
4366
ref
appTerm
appTerm
appTerm
277
ref
appTerm
absTerm
4376
def
3333
ref
appTerm
4377
def
appTerm
refl
4376
ref
4019
ref
3777
ref
appTerm
4378
def
appTerm
betaConv
appThm
87
ref
4377
remove
betaConv
appThm
40
ref
230
ref
200
ref
18
ref
4378
ref
appTerm
appTerm
4379
def
4366
remove
appTerm
4380
def
appTerm
4381
def
appTerm
277
ref
appTerm
4382
def
refl
appThm
trans
4376
remove
refl
39
ref
"_32301"
1
ref
var
4383
def
3347
ref
4019
ref
359
ref
4383
remove
varTerm
appTerm
1880
ref
appTerm
appTerm
appTerm
absTerm
4384
def
1878
ref
appTerm
4385
def
appTerm
refl
4386
def
4384
ref
277
ref
appTerm
betaConv
appThm
87
ref
4385
remove
betaConv
appThm
4387
def
3347
ref
4378
ref
appTerm
refl
appThm
trans
4384
remove
refl
4388
def
3780
remove
appThm
eqMp
4021
remove
assume
4389
def
eqMp
4390
def
appThm
eqMp
sym
39
ref
"_32325"
3
ref
var
4391
def
15
ref
3370
ref
4391
remove
varTerm
appTerm
appTerm
3370
ref
4365
ref
appTerm
4392
def
appTerm
absTerm
4393
def
3333
ref
appTerm
4394
def
appTerm
refl
4393
ref
4378
ref
appTerm
betaConv
appThm
87
ref
4394
remove
betaConv
appThm
15
ref
3370
ref
4378
ref
appTerm
appTerm
4392
ref
appTerm
4395
def
refl
appThm
trans
4393
remove
refl
4390
ref
appThm
eqMp
39
ref
"_32313"
3
ref
var
4396
def
4013
ref
3370
ref
4396
remove
varTerm
appTerm
appTerm
absTerm
4397
def
3336
ref
appTerm
4398
def
appTerm
refl
4399
def
4397
ref
4365
ref
appTerm
betaConv
appThm
87
ref
4398
remove
betaConv
appThm
4400
def
4013
ref
4392
remove
appTerm
refl
appThm
trans
4397
remove
refl
4401
def
4374
ref
appThm
eqMp
4339
ref
eqMp
eqMp
nil
35
ref
4395
ref
nil
cons
cons
36
ref
4382
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
39
ref
"_32309"
3
ref
var
4402
def
408
ref
4402
remove
varTerm
appTerm
absTerm
4403
def
3336
ref
appTerm
4404
def
appTerm
refl
4405
def
4403
ref
4365
ref
appTerm
betaConv
appThm
87
ref
4404
remove
betaConv
appThm
4406
def
408
ref
4365
remove
appTerm
4407
def
refl
appThm
trans
4403
remove
refl
4408
def
4374
remove
appThm
eqMp
3389
ref
eqMp
nil
35
ref
4407
ref
nil
cons
cons
36
ref
40
ref
4395
remove
appTerm
4382
remove
appTerm
4409
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
39
ref
"_32319"
3
ref
var
4410
def
408
ref
4410
remove
varTerm
appTerm
absTerm
4411
def
3333
ref
appTerm
4412
def
appTerm
refl
4413
def
4411
remove
4378
ref
appTerm
betaConv
appThm
87
ref
4412
remove
betaConv
appThm
4414
def
408
ref
4378
remove
appTerm
4415
def
refl
appThm
trans
4408
ref
4390
remove
appThm
eqMp
3391
ref
eqMp
nil
35
ref
4415
ref
nil
cons
4416
def
cons
4417
def
36
ref
40
ref
4407
remove
appTerm
4409
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
40
ref
4415
ref
appTerm
refl
286
ref
414
ref
4023
ref
refl
4418
def
359
ref
refl
4419
def
325
ref
appThm
1880
ref
refl
4420
def
appThm
appThm
4421
def
appThm
appThm
286
ref
239
ref
nil
3331
ref
3777
ref
nil
cons
4422
def
cons
3332
ref
4275
ref
cons
nil
cons
4423
def
cons
nil
cons
cons
695
ref
"l2"
1844
ref
var
4424
def
15
ref
3458
ref
3420
ref
"l1"
1844
ref
var
4425
def
varTerm
4426
def
appTerm
4427
def
4424
ref
varTerm
4428
def
appTerm
4429
def
appTerm
appTerm
210
ref
3458
ref
4426
ref
appTerm
appTerm
3458
remove
4428
ref
appTerm
appTerm
appTerm
absTerm
4430
def
4428
ref
appTerm
4431
def
betaConv
4425
ref
1862
ref
4430
ref
appTerm
4432
def
absTerm
4433
def
4426
ref
appTerm
4434
def
betaConv
nil
1862
ref
4433
ref
appTerm
4435
def
axiom
nil
35
ref
4435
remove
nil
cons
cons
36
ref
4434
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4433
remove
nil
cons
cons
1870
ref
4426
ref
nil
cons
cons
nil
cons
4436
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4432
remove
nil
cons
cons
36
ref
4431
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4430
remove
nil
cons
cons
1870
ref
4428
ref
nil
cons
cons
nil
cons
4437
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4438
def
subst
210
ref
3370
ref
4018
remove
appTerm
4439
def
appTerm
refl
4440
def
nil
2258
ref
nil
cons
cons
4441
def
3661
ref
subst
appThm
trans
appThm
nil
3331
ref
4364
remove
nil
cons
cons
3332
ref
4279
ref
cons
nil
cons
4442
def
cons
nil
cons
cons
4438
ref
subst
210
ref
3370
ref
4022
remove
appTerm
4443
def
appTerm
refl
4444
def
nil
1840
ref
2932
remove
cons
nil
cons
nil
cons
cons
3661
ref
subst
appThm
trans
appThm
nil
175
ref
4443
ref
nil
cons
4445
def
cons
142
ref
3674
remove
nil
cons
cons
240
ref
4439
ref
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
656
remove
subst
4446
def
trans
appThm
nil
70
ref
4381
remove
nil
cons
cons
nil
cons
nil
cons
cons
881
ref
subst
nil
70
ref
4380
remove
nil
cons
cons
nil
cons
nil
cons
cons
885
ref
subst
trans
4379
ref
refl
3316
ref
4421
remove
appThm
appThm
trans
appThm
appThm
appThm
sym
nil
4417
remove
36
ref
40
ref
408
ref
4023
ref
360
remove
1880
ref
appTerm
4447
def
appTerm
4448
def
appTerm
4449
def
appTerm
40
ref
15
ref
4439
ref
appTerm
4443
ref
appTerm
4450
def
appTerm
4451
def
4379
remove
18
ref
4448
remove
appTerm
appTerm
4452
def
appTerm
4453
def
appTerm
nil
cons
4454
def
cons
nil
cons
cons
nil
cons
cons
4455
def
57
ref
subst
4455
remove
129
ref
subst
nil
35
ref
4449
ref
nil
cons
4456
def
cons
36
ref
4453
remove
nil
cons
4457
def
cons
nil
cons
cons
nil
cons
cons
4458
def
57
ref
subst
4458
remove
129
ref
subst
nil
35
ref
4450
ref
nil
cons
4459
def
cons
4460
def
36
ref
4452
remove
nil
cons
4461
def
cons
nil
cons
4462
def
cons
nil
cons
cons
4463
def
57
ref
subst
4463
remove
129
ref
subst
465
ref
239
ref
4450
ref
assume
4464
def
appThm
4443
ref
refl
appThm
nil
165
ref
4445
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
4465
def
trans
appThm
465
ref
nil
70
ref
4416
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
4415
ref
assume
eqMp
appThm
nil
70
ref
4456
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
4449
ref
assume
eqMp
appThm
782
ref
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
35
ref
46
ref
4450
remove
appTerm
46
ref
4415
remove
appTerm
4449
remove
appTerm
appTerm
nil
cons
cons
4462
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
3331
ref
4279
remove
cons
4423
ref
cons
nil
cons
cons
nil
35
ref
4015
ref
46
ref
408
ref
3415
ref
3777
ref
appTerm
4466
def
appTerm
4467
def
appTerm
408
ref
3414
remove
3336
ref
appTerm
4468
def
4447
ref
appTerm
4469
def
appTerm
4470
def
appTerm
4471
def
appTerm
nil
cons
4472
def
cons
36
ref
200
ref
18
ref
4466
remove
appTerm
appTerm
18
ref
4469
remove
appTerm
appTerm
nil
cons
4473
def
cons
nil
cons
cons
nil
cons
cons
4474
def
57
ref
subst
4474
remove
129
ref
subst
nil
83
ref
4014
remove
nil
cons
cons
85
ref
4471
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4475
def
99
ref
subst
4475
remove
305
ref
subst
nil
83
ref
4467
ref
nil
cons
cons
85
ref
4470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
2224
ref
3316
ref
3415
ref
refl
4441
remove
695
ref
1845
ref
3303
ref
1856
ref
appTerm
3420
ref
1854
remove
1902
remove
appTerm
appTerm
1855
ref
appTerm
4476
def
appTerm
4477
def
absTerm
4478
def
1855
remove
appTerm
4479
def
betaConv
1852
ref
1862
ref
4478
ref
appTerm
4480
def
absTerm
4481
def
1853
remove
appTerm
4482
def
betaConv
2647
ref
1852
ref
1862
ref
refl
1845
ref
4477
remove
assume
sym
3303
ref
4476
remove
appTerm
1856
remove
appTerm
4483
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
119
ref
1852
remove
1862
ref
1845
remove
4483
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
119
ref
4481
ref
appTerm
nil
cons
cons
36
ref
4482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4481
remove
nil
cons
cons
1867
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4480
remove
nil
cons
cons
36
ref
4479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4478
remove
nil
cons
cons
1871
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4484
def
subst
appThm
appThm
appThm
3316
ref
4468
ref
refl
nil
1842
remove
nil
cons
cons
4485
def
4484
remove
subst
appThm
appThm
appThm
sym
2224
ref
3316
ref
nil
"l3"
3
ref
var
1898
ref
cons
4486
def
3331
ref
390
ref
nil
cons
cons
nil
cons
4487
def
cons
nil
cons
cons
695
ref
"l3"
1844
remove
var
4488
def
3303
remove
4427
remove
3420
ref
4428
ref
appTerm
4488
remove
varTerm
4489
def
appTerm
appTerm
appTerm
3420
remove
4429
remove
appTerm
4489
ref
appTerm
appTerm
absTerm
4490
def
4489
ref
appTerm
4491
def
betaConv
4424
remove
1862
ref
4490
ref
appTerm
4492
def
absTerm
4493
def
4428
remove
appTerm
4494
def
betaConv
4425
remove
1862
ref
4493
ref
appTerm
4495
def
absTerm
4496
def
4426
remove
appTerm
4497
def
betaConv
nil
1862
remove
4496
ref
appTerm
4498
def
axiom
nil
35
ref
4498
remove
nil
cons
cons
36
ref
4497
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4496
remove
nil
cons
cons
4436
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4495
remove
nil
cons
cons
36
ref
4494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
ref
1869
ref
4493
remove
nil
cons
cons
4437
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4492
remove
nil
cons
cons
36
ref
4491
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1868
remove
1869
remove
4490
remove
nil
cons
cons
1870
remove
4489
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4499
def
subst
appThm
appThm
3316
ref
nil
4486
remove
3331
ref
1932
remove
cons
3395
remove
cons
4500
def
cons
nil
cons
cons
4499
remove
subst
appThm
appThm
sym
2224
ref
nil
3331
ref
1898
remove
cons
4501
def
3332
ref
3415
remove
390
remove
appTerm
4502
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
3331
ref
15
ref
3031
ref
3416
ref
appTerm
appTerm
210
ref
3031
remove
3333
ref
appTerm
appTerm
21
ref
444
ref
3410
ref
1956
ref
appTerm
appTerm
appTerm
444
ref
3410
ref
25
ref
appTerm
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
4503
def
absTerm
4504
def
3336
ref
appTerm
4505
def
betaConv
3332
ref
33
ref
4504
ref
appTerm
4506
def
absTerm
4507
def
3333
ref
appTerm
4508
def
betaConv
443
ref
33
ref
3332
ref
33
ref
3331
ref
15
ref
3014
ref
3416
ref
appTerm
appTerm
210
ref
3014
ref
3333
ref
appTerm
appTerm
21
ref
444
ref
3410
ref
447
ref
appTerm
appTerm
appTerm
444
ref
3410
ref
445
ref
appTerm
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
4509
def
absTerm
4510
def
appTerm
4511
def
absTerm
4512
def
appTerm
4513
def
absTerm
4514
def
25
ref
appTerm
4515
def
betaConv
nil
164
ref
4514
ref
nil
cons
cons
4516
def
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
4513
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4512
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3332
ref
nil
70
ref
4511
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4510
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3331
ref
nil
70
ref
4509
ref
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
443
ref
4509
remove
absTerm
4517
def
445
ref
appTerm
4518
def
betaConv
3332
ref
155
ref
4517
ref
appTerm
4519
def
absTerm
4520
def
3333
ref
appTerm
4521
def
betaConv
4522
def
468
ref
443
ref
239
ref
3014
ref
refl
4523
def
3484
remove
4295
remove
subst
appThm
appThm
625
ref
3224
remove
appThm
3037
ref
626
ref
3460
ref
447
ref
refl
4524
def
appThm
nil
175
ref
1372
remove
cons
4525
def
nil
cons
nil
cons
cons
4526
def
734
ref
subst
4527
def
trans
appThm
appThm
626
ref
3460
remove
1442
ref
appThm
608
ref
734
ref
subst
trans
appThm
appThm
3336
ref
refl
4528
def
appThm
appThm
nil
175
ref
3014
ref
3336
ref
appTerm
nil
cons
4529
def
cons
nil
cons
nil
cons
cons
734
ref
subst
trans
appThm
nil
165
ref
4529
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
absThm
appThm
743
ref
trans
sym
76
ref
eqMp
nil
35
ref
155
ref
443
ref
15
ref
3014
ref
3449
remove
appTerm
appTerm
210
ref
3213
remove
appTerm
21
ref
444
ref
3453
ref
447
ref
appTerm
appTerm
appTerm
444
ref
3453
remove
445
ref
appTerm
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
absTerm
appTerm
4530
def
nil
cons
cons
36
ref
315
ref
1840
ref
33
ref
1838
ref
40
ref
155
ref
443
ref
15
ref
3014
ref
3463
ref
appTerm
appTerm
210
ref
3014
ref
1880
ref
appTerm
appTerm
21
ref
444
ref
3466
ref
447
ref
appTerm
4531
def
appTerm
appTerm
444
ref
3466
ref
445
ref
appTerm
4532
def
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
absTerm
4533
def
appTerm
4534
def
appTerm
155
ref
443
ref
15
ref
3014
remove
3469
remove
appTerm
appTerm
210
ref
3516
remove
appTerm
21
ref
444
ref
3472
ref
447
ref
appTerm
appTerm
appTerm
444
ref
3472
remove
445
ref
appTerm
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
4535
def
absTerm
4536
def
appTerm
4537
def
appTerm
4538
def
absTerm
4539
def
appTerm
4540
def
absTerm
4541
def
appTerm
4542
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
318
ref
4541
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
1840
ref
nil
70
ref
4540
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4539
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
1838
ref
nil
70
ref
4538
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4534
remove
nil
cons
4543
def
cons
4544
def
36
ref
4537
remove
nil
cons
4545
def
cons
nil
cons
cons
nil
cons
cons
4546
def
57
ref
subst
4546
remove
129
ref
subst
nil
164
ref
4536
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
4535
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
239
ref
4523
remove
3495
remove
appThm
nil
1838
ref
3463
ref
nil
cons
cons
1696
remove
cons
nil
cons
cons
3155
ref
subst
195
ref
3139
ref
3158
ref
3463
ref
appTerm
appTerm
absTerm
4547
def
refl
1706
ref
appThm
trans
trans
appThm
625
ref
1697
remove
3155
ref
subst
195
ref
3139
remove
3158
remove
1880
ref
appTerm
appTerm
absTerm
4548
def
refl
1706
remove
appThm
trans
appThm
3037
ref
626
ref
3826
ref
4524
remove
appThm
nil
4525
ref
3827
ref
cons
nil
cons
cons
765
ref
subst
trans
appThm
appThm
626
ref
3826
remove
1442
remove
appThm
nil
606
remove
3827
ref
cons
nil
cons
cons
4549
def
765
ref
subst
trans
appThm
appThm
4528
ref
appThm
appThm
appThm
sym
239
ref
4547
remove
604
ref
appTerm
betaConv
175
ref
3137
ref
210
ref
604
ref
appTerm
4550
def
181
ref
appTerm
appTerm
181
ref
appTerm
absTerm
4551
def
21
ref
604
ref
appTerm
448
ref
appTerm
4552
def
3463
ref
appTerm
4553
def
appTerm
betaConv
trans
appThm
625
ref
4548
remove
604
remove
appTerm
betaConv
4551
remove
4552
remove
1880
ref
appTerm
4554
def
appTerm
betaConv
trans
appThm
21
ref
444
ref
254
ref
4531
remove
appTerm
appTerm
appTerm
444
ref
254
ref
4532
remove
appTerm
4555
def
appTerm
4556
def
appTerm
3336
ref
appTerm
4557
def
refl
appThm
appThm
sym
4533
ref
544
ref
appTerm
4558
def
betaConv
nil
4544
remove
36
ref
4558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
163
ref
164
ref
4533
remove
nil
cons
cons
3255
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
15
ref
3062
ref
3463
ref
appTerm
appTerm
210
ref
3062
remove
1880
ref
appTerm
appTerm
21
ref
444
ref
3466
ref
2100
remove
appTerm
appTerm
appTerm
444
ref
3466
ref
544
ref
appTerm
appTerm
appTerm
3336
ref
appTerm
appTerm
appTerm
nil
cons
cons
36
ref
15
ref
3137
ref
4550
ref
4553
ref
appTerm
appTerm
4553
remove
appTerm
appTerm
210
ref
3137
ref
4550
remove
4554
ref
appTerm
appTerm
4554
remove
appTerm
appTerm
4557
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
239
ref
3037
ref
2119
remove
appThm
2122
ref
appThm
4559
def
3463
ref
refl
4560
def
appThm
appThm
625
ref
4559
remove
4420
ref
appThm
appThm
3037
ref
626
ref
3466
remove
refl
4561
def
2118
remove
appThm
nil
175
ref
669
remove
cons
3827
remove
cons
nil
cons
cons
587
ref
subst
262
ref
4549
remove
587
ref
subst
4562
def
appThm
trans
trans
appThm
appThm
626
ref
4562
ref
appThm
appThm
4528
ref
appThm
appThm
appThm
appThm
239
ref
3527
ref
625
ref
3261
ref
appThm
4563
def
3037
ref
3261
remove
appThm
2342
ref
appThm
4564
def
4560
remove
appThm
4565
def
appThm
appThm
4565
remove
appThm
appThm
625
ref
3527
remove
4563
remove
4564
remove
4420
ref
appThm
4566
def
appThm
appThm
4566
remove
appThm
appThm
3037
ref
626
ref
262
ref
4561
remove
1586
ref
appThm
4562
remove
trans
appThm
appThm
appThm
4556
ref
refl
appThm
4528
ref
appThm
appThm
appThm
appThm
sym
nil
3571
remove
36
ref
40
ref
15
ref
3679
ref
3463
remove
appTerm
4567
def
appTerm
210
ref
3679
remove
1880
ref
appTerm
4568
def
appTerm
21
ref
444
ref
254
ref
4555
remove
appTerm
appTerm
appTerm
4556
remove
appTerm
3336
ref
appTerm
4569
def
appTerm
4570
def
appTerm
4571
def
appTerm
4572
def
15
ref
3137
ref
3622
ref
4567
ref
appTerm
4573
def
appTerm
4567
ref
appTerm
appTerm
210
ref
3137
remove
3622
remove
4568
ref
appTerm
4574
def
appTerm
4568
ref
appTerm
appTerm
4569
ref
appTerm
appTerm
appTerm
nil
cons
4575
def
cons
nil
cons
4576
def
cons
nil
cons
cons
4577
def
57
ref
subst
4577
remove
129
ref
subst
39
ref
"_32178"
1
ref
var
4578
def
4572
ref
15
ref
3136
ref
4578
remove
varTerm
appTerm
4579
def
4573
ref
appTerm
4567
ref
appTerm
appTerm
210
ref
4579
remove
4574
ref
appTerm
4568
ref
appTerm
appTerm
4569
ref
appTerm
appTerm
appTerm
absTerm
4580
def
1878
ref
appTerm
4581
def
appTerm
refl
4582
def
4580
ref
277
ref
appTerm
betaConv
appThm
87
ref
4581
remove
betaConv
appThm
4583
def
4572
ref
15
ref
3205
ref
4573
ref
appTerm
4567
ref
appTerm
appTerm
210
ref
3205
remove
4574
ref
appTerm
4568
ref
appTerm
appTerm
4569
ref
appTerm
appTerm
appTerm
refl
appThm
trans
4580
remove
refl
4584
def
3586
remove
appThm
eqMp
sym
4572
ref
refl
4585
def
239
ref
nil
3161
ref
4567
ref
nil
cons
4586
def
cons
3163
ref
4573
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4587
def
3207
ref
subst
appThm
625
ref
nil
3161
remove
4568
ref
nil
cons
4588
def
cons
3163
remove
4574
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
4589
def
3207
ref
subst
appThm
4569
ref
refl
4590
def
appThm
appThm
appThm
nil
70
ref
4571
remove
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
4591
def
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3604
remove
85
ref
4575
ref
cons
nil
cons
4592
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
3608
remove
4576
remove
cons
nil
cons
cons
4593
def
57
ref
subst
4593
remove
129
ref
subst
4582
remove
"_32176"
1
ref
var
4594
def
4572
ref
15
ref
3136
remove
4594
remove
varTerm
appTerm
4595
def
4573
ref
appTerm
4567
ref
appTerm
appTerm
210
ref
4595
remove
4574
ref
appTerm
4568
ref
appTerm
appTerm
4569
ref
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4583
remove
4572
remove
15
ref
3156
ref
4573
remove
appTerm
4567
remove
appTerm
appTerm
210
ref
3156
remove
4574
remove
appTerm
4568
remove
appTerm
appTerm
4569
ref
appTerm
appTerm
appTerm
refl
appThm
trans
4584
remove
3614
remove
appThm
eqMp
sym
4585
remove
239
ref
4587
remove
3165
ref
subst
appThm
625
ref
4589
remove
3165
remove
subst
appThm
4590
remove
appThm
nil
142
ref
4569
remove
nil
cons
cons
175
ref
4588
remove
cons
3594
ref
cons
cons
nil
cons
cons
2991
ref
subst
trans
appThm
nil
142
ref
4570
remove
nil
cons
cons
175
ref
4586
remove
cons
3594
remove
cons
cons
nil
cons
cons
142
ref
39
ref
718
remove
643
remove
appTerm
appTerm
231
remove
150
ref
appTerm
appTerm
absTerm
4596
def
150
ref
appTerm
4597
def
betaConv
175
ref
155
ref
4596
ref
appTerm
4598
def
absTerm
4599
def
181
ref
appTerm
4600
def
betaConv
240
ref
155
ref
4599
ref
appTerm
4601
def
absTerm
4602
def
242
ref
appTerm
4603
def
betaConv
nil
155
ref
4602
ref
appTerm
4604
def
axiom
nil
35
ref
4604
remove
nil
cons
cons
36
ref
4603
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4602
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4601
remove
nil
cons
cons
36
ref
4600
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4599
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4598
remove
nil
cons
cons
36
ref
4597
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4596
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
4591
remove
trans
sym
76
ref
eqMp
eqMp
eqMp
nil
3626
ref
4592
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
3628
remove
nil
3626
remove
3629
remove
991
ref
4575
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
4543
remove
cons
85
ref
4545
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
4530
remove
appTerm
4542
remove
appTerm
nil
cons
cons
36
ref
33
ref
4520
ref
appTerm
nil
cons
4605
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
4520
ref
6
remove
appTerm
betaConv
appThm
1387
ref
1840
ref
2051
ref
1838
ref
286
ref
4520
ref
1880
ref
appTerm
betaConv
appThm
4520
ref
1881
remove
appTerm
betaConv
appThm
absThm
appThm
absThm
appThm
appThm
appThm
2051
ref
3332
ref
4522
remove
absThm
appThm
appThm
nil
2054
remove
4520
remove
nil
cons
4606
def
cons
nil
cons
nil
cons
cons
2064
remove
subst
eqMp
eqMp
nil
35
ref
4605
remove
cons
36
ref
4521
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4606
remove
cons
3832
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4519
remove
nil
cons
cons
36
ref
4518
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4517
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
4514
remove
appTerm
nil
cons
cons
36
ref
4515
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
4516
remove
393
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
33
ref
4507
ref
appTerm
nil
cons
cons
36
ref
4508
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4507
remove
nil
cons
cons
3832
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4506
remove
nil
cons
cons
36
ref
4505
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4504
remove
nil
cons
cons
3794
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4503
remove
nil
cons
cons
36
ref
15
ref
18
ref
3416
ref
appTerm
appTerm
210
ref
3342
ref
appTerm
4607
def
21
ref
444
ref
3410
remove
26
ref
appTerm
appTerm
4608
def
appTerm
444
ref
3374
remove
appTerm
4609
def
appTerm
3336
ref
appTerm
4610
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
239
ref
3038
ref
3416
ref
refl
appThm
appThm
625
ref
3038
remove
3333
ref
refl
appThm
appThm
3037
ref
626
ref
3864
remove
2457
remove
appThm
appThm
appThm
626
ref
3866
remove
appThm
appThm
4528
remove
appThm
appThm
appThm
appThm
239
ref
nil
4
remove
3416
ref
nil
cons
cons
nil
cons
nil
cons
cons
141
ref
subst
appThm
625
ref
3419
remove
141
remove
subst
appThm
4610
ref
refl
appThm
appThm
appThm
nil
70
ref
15
ref
27
ref
3416
remove
appTerm
appTerm
210
ref
27
remove
3333
ref
appTerm
appTerm
4610
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1449
ref
subst
trans
sym
76
ref
eqMp
eqMp
4611
def
subst
appThm
nil
4501
remove
3332
ref
4468
remove
386
remove
appTerm
4612
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
4611
ref
subst
appThm
sym
2224
ref
210
ref
18
ref
4502
remove
appTerm
4613
def
appTerm
refl
3037
ref
626
ref
625
ref
nil
4487
remove
nil
cons
cons
4614
def
4438
ref
subst
625
ref
4339
ref
appThm
4615
def
nil
1839
ref
2258
remove
cons
nil
cons
cons
3661
ref
subst
262
ref
3459
remove
appThm
4616
def
trans
appThm
trans
4617
def
appThm
1684
ref
appThm
appThm
appThm
626
ref
4617
remove
appThm
appThm
4420
ref
appThm
appThm
appThm
210
ref
18
ref
4612
remove
appTerm
4618
def
appTerm
refl
3037
remove
626
ref
625
ref
nil
4500
remove
nil
cons
cons
4619
def
4438
ref
subst
3867
remove
1843
remove
3661
ref
subst
4616
remove
trans
appThm
trans
4620
def
appThm
1684
ref
appThm
appThm
appThm
626
ref
4620
remove
appThm
appThm
4420
ref
appThm
appThm
appThm
nil
142
ref
4618
remove
nil
cons
cons
240
ref
21
remove
444
ref
210
ref
3861
ref
327
remove
appTerm
4621
def
appTerm
26
ref
appTerm
appTerm
appTerm
444
ref
4621
remove
appTerm
appTerm
1880
ref
appTerm
nil
cons
cons
175
ref
4613
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
142
ref
39
ref
200
ref
891
remove
appTerm
910
remove
appTerm
appTerm
1324
remove
appTerm
absTerm
4622
def
150
ref
appTerm
4623
def
betaConv
175
ref
155
ref
4622
ref
appTerm
4624
def
absTerm
4625
def
181
ref
appTerm
4626
def
betaConv
240
ref
155
ref
4625
ref
appTerm
4627
def
absTerm
4628
def
242
ref
appTerm
4629
def
betaConv
nil
155
ref
4628
ref
appTerm
4630
def
axiom
nil
35
ref
4630
remove
nil
cons
cons
36
ref
4629
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4628
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4627
remove
nil
cons
cons
36
ref
4626
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4625
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4624
remove
nil
cons
cons
36
ref
4623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4622
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
sym
2224
ref
4614
remove
4611
ref
subst
4607
remove
refl
4631
def
nil
1839
ref
2257
remove
142
ref
4609
remove
nil
cons
cons
145
ref
4608
remove
nil
cons
4632
def
cons
nil
cons
cons
cons
cons
nil
cons
cons
3155
ref
subst
195
ref
175
ref
3617
remove
3207
remove
subst
absThm
nil
142
ref
4632
remove
cons
3619
ref
cons
nil
cons
cons
170
ref
subst
appThm
absThm
nil
3380
remove
nil
cons
cons
1705
ref
subst
appThm
trans
appThm
trans
appThm
4619
remove
4611
remove
subst
210
ref
3339
ref
appTerm
4633
def
refl
4634
def
nil
1839
remove
1841
remove
142
ref
444
ref
3371
remove
appTerm
nil
cons
cons
145
ref
4006
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
3155
remove
subst
195
ref
3618
remove
nil
142
ref
4006
remove
cons
3619
remove
cons
nil
cons
cons
170
remove
subst
appThm
absThm
nil
3381
remove
nil
cons
cons
1705
remove
subst
appThm
trans
appThm
trans
appThm
sym
2224
ref
4631
remove
195
remove
175
ref
181
ref
absTerm
25
ref
appTerm
absTerm
3412
ref
appTerm
betaConv
165
ref
1157
ref
absTerm
25
ref
appTerm
betaConv
trans
appThm
nil
3345
ref
nil
cons
cons
252
ref
subst
trans
appThm
4634
remove
3621
remove
444
ref
3861
remove
602
ref
appTerm
appTerm
4635
def
appTerm
betaConv
175
ref
210
ref
4635
ref
appTerm
181
ref
appTerm
absTerm
25
ref
appTerm
betaConv
nil
240
ref
4635
ref
nil
cons
4636
def
cons
nil
cons
nil
cons
cons
252
ref
subst
trans
trans
appThm
appThm
sym
175
ref
3407
remove
503
ref
4633
remove
4635
remove
appTerm
4637
def
appTerm
appTerm
absTerm
4638
def
3412
remove
appTerm
betaConv
sym
3418
remove
3777
ref
appTerm
betaConv
sym
4467
remove
assume
eqMp
111
ref
3424
remove
113
ref
4422
remove
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
3433
remove
proveHyp
3856
remove
eqMp
nil
3857
remove
36
ref
3858
remove
4637
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
1410
remove
626
ref
4615
remove
1685
remove
appThm
appThm
appThm
4637
ref
refl
appThm
nil
3346
remove
175
ref
4636
remove
cons
nil
cons
cons
nil
cons
cons
1470
remove
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
163
ref
164
ref
4638
ref
nil
cons
cons
4009
remove
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
4638
remove
appTerm
nil
cons
cons
36
ref
3351
remove
4637
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
4637
remove
nil
cons
cons
3345
remove
cons
nil
cons
cons
2438
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
4472
remove
cons
85
ref
4473
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
4639
def
subst
eqMp
eqMp
nil
83
ref
4459
remove
cons
4640
def
85
ref
4461
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
4456
remove
cons
85
ref
4457
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
4416
remove
cons
85
ref
4454
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3786
remove
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
3936
remove
285
remove
cons
nil
cons
cons
4641
def
57
ref
subst
4641
remove
129
ref
subst
3387
remove
39
ref
"_32269"
3
ref
var
4642
def
40
ref
230
ref
200
ref
18
ref
4642
remove
varTerm
appTerm
appTerm
3342
ref
appTerm
appTerm
appTerm
277
ref
appTerm
absTerm
4643
def
3336
remove
appTerm
4644
def
appTerm
refl
4643
ref
4023
ref
359
ref
962
ref
appTerm
1880
ref
appTerm
4645
def
appTerm
4646
def
appTerm
betaConv
appThm
87
ref
4644
remove
betaConv
appThm
40
ref
230
ref
200
ref
18
ref
4646
ref
appTerm
appTerm
4647
def
3342
ref
appTerm
appTerm
appTerm
277
ref
appTerm
refl
appThm
trans
4643
remove
refl
4370
remove
"_32267"
1
ref
var
4648
def
3878
ref
4023
ref
359
ref
230
ref
4648
remove
varTerm
appTerm
appTerm
1880
ref
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4371
remove
3878
remove
4646
ref
appTerm
refl
appThm
trans
4372
remove
3943
ref
appThm
eqMp
4373
remove
eqMp
4649
def
appThm
eqMp
sym
39
ref
"_32281"
3
ref
var
4650
def
40
ref
230
ref
4647
ref
18
ref
4650
remove
varTerm
appTerm
appTerm
appTerm
appTerm
277
ref
appTerm
absTerm
4651
def
3333
ref
appTerm
4652
def
appTerm
refl
4651
ref
4019
ref
4447
ref
appTerm
4653
def
appTerm
betaConv
appThm
87
ref
4652
remove
betaConv
appThm
40
ref
230
ref
4647
remove
18
ref
4653
ref
appTerm
4654
def
appTerm
4655
def
appTerm
4656
def
appTerm
277
ref
appTerm
4657
def
refl
appThm
trans
4651
remove
refl
4386
remove
"_32265"
1
ref
var
4658
def
3347
ref
4019
remove
359
remove
4658
remove
varTerm
appTerm
1880
remove
appTerm
appTerm
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4387
remove
3347
remove
4653
ref
appTerm
refl
appThm
trans
4388
remove
3943
remove
appThm
eqMp
4389
remove
eqMp
4659
def
appThm
eqMp
sym
39
ref
"_32289"
3
ref
var
4660
def
15
ref
3370
ref
4660
remove
varTerm
appTerm
appTerm
3370
ref
4646
ref
appTerm
4661
def
appTerm
absTerm
4662
def
3333
remove
appTerm
4663
def
appTerm
refl
4662
ref
4653
ref
appTerm
betaConv
appThm
87
ref
4663
remove
betaConv
appThm
15
ref
3370
ref
4653
ref
appTerm
appTerm
4661
ref
appTerm
4664
def
refl
appThm
trans
4662
remove
refl
4659
ref
appThm
eqMp
4399
remove
"_32277"
3
ref
var
4665
def
4013
ref
3370
remove
4665
remove
varTerm
appTerm
appTerm
absTerm
4646
ref
appTerm
betaConv
appThm
4400
remove
4013
remove
4661
remove
appTerm
refl
appThm
trans
4401
remove
4649
ref
appThm
eqMp
4339
remove
eqMp
eqMp
nil
35
ref
4664
ref
nil
cons
cons
36
ref
4657
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4405
remove
"_32273"
3
ref
var
4666
def
408
ref
4666
remove
varTerm
appTerm
absTerm
4646
ref
appTerm
betaConv
appThm
4406
remove
408
ref
4646
remove
appTerm
4667
def
refl
appThm
trans
4408
ref
4649
remove
appThm
eqMp
3389
remove
eqMp
nil
35
ref
4667
ref
nil
cons
cons
36
ref
40
ref
4664
remove
appTerm
4657
remove
appTerm
4668
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4413
remove
"_32283"
3
ref
var
4669
def
408
ref
4669
remove
varTerm
appTerm
absTerm
4653
ref
appTerm
betaConv
appThm
4414
remove
408
ref
4653
remove
appTerm
4670
def
refl
appThm
trans
4408
ref
4659
remove
appThm
eqMp
3391
remove
eqMp
nil
35
ref
4670
ref
nil
cons
4671
def
cons
4672
def
36
ref
40
ref
4667
remove
appTerm
4668
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
40
ref
4670
ref
appTerm
refl
286
ref
414
remove
4418
remove
4419
remove
969
remove
appThm
4420
remove
appThm
appThm
4673
def
appThm
appThm
286
ref
239
ref
nil
3331
ref
4447
remove
nil
cons
cons
4423
remove
cons
nil
cons
cons
4438
ref
subst
4440
remove
4485
remove
3661
ref
subst
appThm
trans
appThm
nil
3331
ref
4645
remove
nil
cons
cons
4442
ref
cons
nil
cons
cons
4438
remove
subst
4444
remove
nil
1840
ref
2944
remove
cons
nil
cons
nil
cons
cons
3661
remove
subst
appThm
trans
appThm
4446
remove
trans
appThm
nil
70
ref
4656
remove
nil
cons
cons
nil
cons
nil
cons
cons
881
remove
subst
nil
70
ref
4655
remove
nil
cons
cons
nil
cons
nil
cons
cons
885
remove
subst
trans
2224
ref
3316
remove
4673
remove
appThm
appThm
4654
ref
refl
appThm
trans
appThm
appThm
appThm
sym
nil
4672
remove
36
ref
40
ref
408
ref
4023
remove
3777
remove
appTerm
4674
def
appTerm
4675
def
appTerm
4451
remove
200
ref
18
remove
4674
remove
appTerm
appTerm
4654
remove
appTerm
4676
def
appTerm
4677
def
appTerm
nil
cons
4678
def
cons
nil
cons
cons
nil
cons
cons
4679
def
57
ref
subst
4679
remove
129
ref
subst
nil
35
ref
4675
ref
nil
cons
4680
def
cons
36
ref
4677
remove
nil
cons
4681
def
cons
nil
cons
cons
nil
cons
cons
4682
def
57
ref
subst
4682
remove
129
ref
subst
nil
4460
remove
36
ref
4676
remove
nil
cons
4683
def
cons
nil
cons
4684
def
cons
nil
cons
cons
4685
def
57
ref
subst
4685
remove
129
ref
subst
465
ref
15
ref
4443
remove
appTerm
4686
def
refl
4464
remove
appThm
4465
remove
trans
appThm
465
ref
nil
70
ref
4680
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
4675
ref
assume
eqMp
appThm
nil
70
ref
4671
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
4670
ref
assume
eqMp
appThm
782
ref
trans
appThm
782
ref
trans
sym
76
ref
eqMp
nil
35
ref
46
ref
4686
remove
4439
remove
appTerm
appTerm
46
ref
4675
remove
appTerm
4670
remove
appTerm
appTerm
nil
cons
cons
4684
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
3331
ref
4275
remove
cons
4442
remove
cons
nil
cons
cons
4639
remove
subst
eqMp
eqMp
nil
4640
remove
85
ref
4683
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
4680
remove
cons
85
ref
4681
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
4671
remove
cons
85
ref
4678
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3779
ref
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
2951
remove
1878
remove
appTerm
4687
def
betaConv
2954
remove
nil
2955
remove
36
ref
4687
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
2956
remove
1897
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
3779
remove
85
ref
3768
remove
cons
2980
remove
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
4357
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
4355
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
4028
ref
2499
ref
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4029
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4028
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4351
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
315
ref
319
ref
40
ref
4030
ref
2093
remove
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4031
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
4030
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4347
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
ref
40
ref
4032
ref
2499
ref
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4033
remove
appTerm
277
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
ref
112
ref
4032
remove
nil
cons
cons
1052
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
nil
83
ref
4343
remove
cons
1052
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
33
ref
113
remove
40
ref
4034
ref
2499
remove
appTerm
appTerm
277
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4035
ref
appTerm
277
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
111
remove
112
ref
4034
remove
nil
cons
cons
1052
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
4327
ref
cons
85
ref
4328
ref
cons
nil
cons
4688
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
4325
remove
62
ref
appTerm
4689
def
nil
cons
4690
def
cons
4329
remove
cons
nil
cons
cons
4691
def
57
ref
subst
4691
remove
129
ref
subst
4335
remove
"_32251"
1
ref
var
4692
def
40
ref
40
ref
4015
ref
230
ref
4692
remove
varTerm
4693
def
appTerm
appTerm
appTerm
4035
ref
appTerm
appTerm
4693
remove
appTerm
absTerm
62
ref
appTerm
betaConv
appThm
4336
remove
40
ref
40
ref
4015
remove
962
remove
appTerm
appTerm
4035
remove
appTerm
4694
def
appTerm
62
ref
appTerm
refl
appThm
trans
4338
remove
4689
remove
assume
appThm
eqMp
sym
nil
70
ref
4694
remove
nil
cons
cons
nil
cons
nil
cons
cons
2015
ref
subst
sym
76
ref
eqMp
eqMp
eqMp
nil
83
ref
4690
remove
cons
4695
def
4688
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
983
remove
3348
ref
appTerm
4696
def
betaConv
986
remove
nil
987
remove
36
ref
4696
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
988
remove
319
ref
3357
ref
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
4695
remove
85
ref
4327
remove
cons
991
ref
4328
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
proveHyp
eqMp
nil
83
ref
3356
remove
cons
85
ref
3357
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
4697
def
subst
eqMp
eqMp
nil
83
ref
1983
remove
cons
85
ref
3325
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
40
ref
1938
ref
appTerm
3322
ref
appTerm
nil
cons
cons
36
ref
40
ref
3322
ref
appTerm
1938
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
3325
ref
cons
1984
remove
cons
nil
cons
cons
4698
def
57
ref
subst
4698
remove
129
ref
subst
39
ref
"_32375"
3
remove
var
4699
def
408
remove
4699
remove
varTerm
appTerm
absTerm
4700
def
19
remove
appTerm
4701
def
appTerm
refl
4700
remove
3321
remove
appTerm
betaConv
appThm
87
ref
4701
remove
betaConv
appThm
3330
remove
refl
appThm
trans
4408
remove
3322
remove
assume
sym
appThm
eqMp
sym
3329
remove
2470
remove
subst
eqMp
eqMp
nil
83
ref
3325
remove
cons
2094
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
33
ref
3324
remove
appTerm
thm
2065
remove
nil
2066
remove
thm
1554
remove
nil
1551
remove
thm
nil
164
ref
1285
ref
155
ref
443
ref
40
ref
1377
ref
appTerm
1373
ref
appTerm
4702
def
absTerm
4703
def
appTerm
4704
def
absTerm
4705
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
4704
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
4703
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
4702
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1557
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
155
ref
4705
remove
appTerm
thm
2373
remove
nil
155
ref
2372
remove
appTerm
thm
nil
164
ref
1285
ref
40
ref
230
ref
1639
ref
26
ref
appTerm
4706
def
appTerm
4707
def
appTerm
1376
ref
444
ref
254
ref
1286
ref
appTerm
4708
def
appTerm
4709
def
appTerm
4710
def
appTerm
4711
def
absTerm
4712
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
4711
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4707
ref
nil
cons
4713
def
cons
4714
def
36
ref
4710
ref
nil
cons
4715
def
cons
nil
cons
4716
def
cons
nil
cons
cons
4717
def
57
ref
subst
4717
remove
129
ref
subst
420
remove
1286
ref
appTerm
4718
def
betaConv
423
remove
nil
424
remove
36
ref
4718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
425
remove
1555
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
415
ref
1639
ref
25
ref
appTerm
4719
def
appTerm
419
ref
175
ref
1639
ref
269
ref
appTerm
4720
def
absTerm
4721
def
appTerm
4722
def
appTerm
nil
cons
4723
def
cons
4716
ref
cons
nil
cons
cons
4724
def
108
ref
subst
proveHyp
4724
ref
57
ref
subst
4724
remove
129
ref
subst
nil
164
ref
175
ref
40
ref
4721
ref
181
ref
appTerm
4725
def
appTerm
4710
ref
appTerm
4726
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
4726
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4725
ref
nil
cons
4727
def
cons
4716
ref
cons
nil
cons
cons
4728
def
57
ref
subst
4728
remove
129
ref
subst
4725
ref
betaConv
4725
remove
assume
eqMp
nil
35
ref
4720
ref
nil
cons
4729
def
cons
4716
ref
cons
nil
cons
cons
4730
def
108
ref
subst
proveHyp
4730
ref
57
ref
subst
4730
remove
129
ref
subst
39
ref
"_32057"
11
ref
var
4731
def
200
ref
444
ref
4731
remove
varTerm
4732
def
appTerm
appTerm
444
ref
254
ref
4732
remove
appTerm
appTerm
appTerm
absTerm
4733
def
1286
ref
appTerm
4734
def
appTerm
refl
4733
ref
269
ref
appTerm
betaConv
appThm
87
ref
4734
remove
betaConv
appThm
200
ref
444
ref
269
ref
appTerm
4735
def
appTerm
4736
def
444
ref
254
ref
269
ref
appTerm
appTerm
appTerm
4737
def
refl
appThm
trans
4733
remove
refl
4720
remove
assume
4738
def
appThm
eqMp
sym
39
ref
"_32059"
11
ref
var
4739
def
230
ref
15
ref
4739
remove
varTerm
appTerm
26
ref
appTerm
appTerm
absTerm
4740
def
1286
ref
appTerm
4741
def
appTerm
refl
4740
ref
269
ref
appTerm
betaConv
appThm
87
ref
4741
remove
betaConv
appThm
230
ref
270
ref
26
ref
appTerm
appTerm
4742
def
refl
appThm
trans
4740
remove
refl
4738
remove
appThm
eqMp
4707
ref
assume
eqMp
nil
35
ref
4742
remove
nil
cons
cons
36
ref
4737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
238
ref
270
remove
refl
266
ref
appThm
3045
remove
4129
ref
subst
trans
appThm
appThm
4736
remove
refl
nil
443
ref
191
remove
cons
nil
cons
nil
cons
cons
4743
def
659
ref
subst
appThm
nil
175
ref
3296
remove
cons
4744
def
240
ref
4735
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
175
ref
39
ref
469
remove
577
ref
appTerm
appTerm
229
remove
appTerm
absTerm
4745
def
181
ref
appTerm
4746
def
betaConv
240
ref
155
ref
4745
ref
appTerm
4747
def
absTerm
4748
def
242
ref
appTerm
4749
def
betaConv
nil
155
ref
4748
ref
appTerm
4750
def
axiom
nil
35
ref
4750
remove
nil
cons
cons
36
ref
4749
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4748
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4747
remove
nil
cons
cons
36
ref
4746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4745
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
4744
remove
nil
cons
nil
cons
cons
237
ref
subst
238
ref
4743
remove
1081
ref
subst
appThm
trans
trans
trans
appThm
nil
70
ref
233
remove
nil
cons
cons
nil
cons
nil
cons
cons
1449
remove
subst
trans
sym
76
ref
eqMp
eqMp
eqMp
eqMp
nil
83
ref
4729
remove
cons
85
ref
4715
ref
cons
nil
cons
4751
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
4727
remove
cons
4751
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
4721
ref
1157
ref
appTerm
appTerm
4710
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4722
ref
appTerm
4710
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4721
remove
nil
cons
cons
4751
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
nil
35
ref
4719
ref
nil
cons
4752
def
cons
4716
remove
cons
nil
cons
cons
4753
def
57
ref
subst
4753
remove
129
ref
subst
2224
remove
626
ref
4719
remove
assume
4754
def
appThm
680
ref
trans
appThm
626
ref
262
ref
4754
remove
appThm
appThm
appThm
nil
175
ref
3270
remove
cons
nil
cons
nil
cons
cons
237
remove
subst
238
ref
nil
443
ref
352
remove
cons
nil
cons
nil
cons
cons
1081
remove
subst
323
remove
trans
appThm
325
remove
trans
trans
trans
sym
76
ref
eqMp
eqMp
nil
83
ref
4752
remove
cons
4755
def
4751
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
4755
remove
85
ref
4722
remove
nil
cons
cons
991
ref
4715
ref
cons
nil
cons
cons
cons
nil
cons
cons
1007
ref
subst
proveHyp
proveHyp
eqMp
nil
83
ref
4723
remove
cons
4751
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
4756
def
eqMp
nil
83
ref
4713
remove
cons
4757
def
4751
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
4758
def
eqMp
absThm
eqMp
nil
155
ref
4712
remove
appTerm
thm
nil
164
ref
175
ref
1190
remove
absTerm
4759
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
1282
remove
77
ref
subst
1284
remove
eqMp
absThm
eqMp
nil
155
ref
4759
remove
appTerm
thm
4005
remove
nil
4002
remove
thm
3833
remove
nil
3834
remove
thm
nil
112
ref
3332
ref
33
ref
3331
ref
40
ref
3335
remove
3338
remove
15
ref
3342
remove
appTerm
3339
remove
appTerm
appTerm
appTerm
appTerm
3348
remove
appTerm
4760
def
absTerm
4761
def
appTerm
4762
def
absTerm
4763
def
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3332
ref
nil
70
ref
4762
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
ref
4761
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3331
ref
nil
70
ref
4760
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
4697
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
33
ref
4763
remove
appTerm
thm
nil
112
ref
3332
ref
33
ref
3331
ref
40
ref
3399
remove
appTerm
3352
remove
appTerm
4764
def
absTerm
4765
def
appTerm
4766
def
absTerm
4767
def
nil
cons
cons
nil
cons
nil
cons
cons
1969
ref
subst
3332
remove
nil
70
ref
4766
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
112
remove
4765
remove
nil
cons
cons
nil
cons
nil
cons
cons
1969
remove
subst
3331
remove
nil
70
ref
4764
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
4011
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
33
remove
4767
remove
appTerm
thm
468
ref
175
ref
3295
remove
3276
ref
"Data.Stream.unfold"
const
4768
def
10
ref
10
ref
"Data.Pair.*"
typeOp
4769
def
22
remove
opType
4770
def
4769
ref
11
ref
4770
ref
nil
cons
4771
def
cons
4772
def
opType
4773
def
nil
cons
4774
def
cons
opType
4775
def
10
ref
4770
ref
3280
ref
cons
opType
nil
cons
cons
opType
constTerm
"select"
const
4776
def
10
ref
10
ref
4775
ref
2
ref
cons
opType
4777
def
4775
ref
nil
cons
4778
def
cons
opType
constTerm
4779
def
"f"
4775
ref
var
4780
def
155
ref
145
ref
155
ref
142
ref
9
ref
10
ref
4773
ref
10
ref
4773
ref
2
ref
cons
opType
nil
cons
cons
opType
constTerm
4781
def
4780
ref
varTerm
"Data.Pair.,"
const
4782
def
10
ref
11
ref
10
ref
4772
remove
opType
nil
cons
cons
opType
constTerm
4783
def
150
ref
appTerm
4784
def
149
ref
appTerm
4785
def
appTerm
appTerm
4782
ref
10
ref
11
ref
4778
ref
cons
opType
constTerm
4786
def
150
ref
appTerm
4787
def
4783
ref
149
ref
appTerm
866
ref
149
ref
appTerm
4788
def
appTerm
4789
def
appTerm
4790
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4791
def
appTerm
4792
def
4783
ref
25
ref
appTerm
26
ref
appTerm
4793
def
appTerm
4794
def
appTerm
4795
def
181
ref
appTerm
4796
def
refl
appThm
absThm
appThm
sym
681
remove
nil
"s"
3275
ref
var
4797
def
4794
ref
nil
cons
4798
def
cons
nil
cons
nil
cons
cons
4799
def
411
ref
"s"
3284
ref
var
4800
def
333
ref
3286
ref
4800
ref
varTerm
4801
def
appTerm
4802
def
25
ref
appTerm
4803
def
appTerm
"Data.Stream.head"
const
4804
def
10
ref
3284
ref
334
ref
cons
opType
constTerm
4805
def
4801
ref
appTerm
4806
def
appTerm
4807
def
absTerm
4808
def
4801
ref
appTerm
4809
def
betaConv
30
ref
10
ref
10
ref
3284
ref
2
ref
cons
opType
4810
def
2
ref
cons
opType
constTerm
4811
def
refl
4800
ref
4807
remove
assume
sym
333
ref
4806
remove
appTerm
4803
remove
appTerm
4812
def
assume
sym
deductAntisym
absThm
appThm
nil
4811
ref
4800
ref
4812
remove
absTerm
appTerm
axiom
eqMp
nil
35
ref
4811
ref
4808
ref
appTerm
nil
cons
cons
36
ref
4809
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
3287
ref
cons
nil
cons
4813
def
"P"
4810
ref
var
4814
def
4808
remove
nil
cons
cons
"x"
3284
ref
var
4815
def
4801
ref
nil
cons
cons
nil
cons
4816
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4817
def
subst
nil
"b"
4770
ref
var
4818
def
4793
ref
nil
cons
cons
4780
remove
4791
ref
nil
cons
cons
nil
cons
4819
def
cons
4820
def
nil
cons
cons
4821
def
"B"
4771
ref
cons
4822
def
163
ref
cons
329
ref
cons
4823
def
"b"
395
ref
var
4824
def
333
ref
4805
ref
4768
remove
10
ref
10
ref
395
ref
4769
remove
1013
remove
opType
4825
def
nil
cons
cons
opType
4826
def
10
ref
395
ref
3287
ref
cons
opType
nil
cons
cons
opType
constTerm
"f"
4826
ref
var
4827
def
varTerm
4828
def
appTerm
4829
def
4824
ref
varTerm
4830
def
appTerm
4831
def
appTerm
appTerm
"Data.Pair.fst"
const
4832
def
10
ref
4825
ref
334
ref
cons
opType
4833
def
constTerm
4834
def
4828
ref
4830
ref
appTerm
4835
def
appTerm
appTerm
absTerm
4836
def
4830
ref
appTerm
4837
def
betaConv
4827
ref
30
ref
10
ref
2478
ref
2
ref
cons
opType
constTerm
4838
def
4836
ref
appTerm
4839
def
absTerm
4840
def
4828
ref
appTerm
4841
def
betaConv
nil
30
ref
10
ref
10
ref
4826
ref
2
ref
cons
opType
4842
def
2
ref
cons
opType
constTerm
4843
def
4840
ref
appTerm
4844
def
axiom
nil
35
ref
4844
remove
nil
cons
cons
36
ref
4841
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
4826
ref
nil
cons
4845
def
cons
nil
cons
4846
def
"P"
4842
remove
var
4847
def
4840
remove
nil
cons
cons
"x"
4826
ref
var
4828
ref
nil
cons
cons
nil
cons
4848
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4839
remove
nil
cons
cons
36
ref
4837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
"P"
2478
remove
var
4849
def
4836
remove
nil
cons
cons
"x"
395
ref
var
4830
ref
nil
cons
cons
nil
cons
4850
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
4851
def
subst
trans
4832
remove
10
ref
4773
ref
16
ref
cons
opType
constTerm
refl
4852
def
nil
147
remove
794
remove
cons
nil
cons
cons
142
ref
4781
ref
4779
remove
"_32077"
4775
ref
var
4853
def
155
ref
145
ref
155
ref
142
ref
4781
ref
4853
remove
varTerm
4785
ref
appTerm
appTerm
4790
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4854
def
appTerm
4855
def
4785
ref
appTerm
appTerm
4790
ref
appTerm
absTerm
4856
def
150
ref
appTerm
4857
def
betaConv
145
ref
155
ref
4856
ref
appTerm
4858
def
absTerm
4859
def
149
ref
appTerm
4860
def
betaConv
4854
ref
4855
remove
appTerm
4861
def
betaConv
4854
ref
"_32075"
4770
ref
var
4862
def
4786
ref
4776
ref
10
ref
10
ref
10
ref
4770
ref
16
ref
cons
opType
4863
def
2
ref
cons
opType
4863
ref
nil
cons
cons
opType
constTerm
4864
def
"fn"
4863
remove
var
4865
def
155
ref
"a"
11
ref
var
4866
def
155
ref
"b"
11
ref
var
4867
def
15
ref
4865
ref
varTerm
4783
ref
4866
ref
varTerm
4868
def
appTerm
4867
ref
varTerm
4869
def
appTerm
4870
def
appTerm
appTerm
4871
def
4868
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4872
def
4862
remove
varTerm
4873
def
appTerm
4874
def
appTerm
4783
ref
4864
remove
4865
remove
155
ref
4866
ref
155
ref
4867
ref
4871
remove
4869
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4875
def
4873
remove
appTerm
4876
def
appTerm
210
ref
4874
remove
appTerm
4876
remove
appTerm
appTerm
appTerm
absTerm
4877
def
appTerm
betaConv
sym
nil
164
ref
145
ref
155
ref
142
ref
4781
ref
4877
ref
4785
ref
appTerm
4878
def
appTerm
4790
remove
appTerm
4879
def
absTerm
4880
def
appTerm
4881
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
145
ref
nil
70
ref
4881
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
4880
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
4879
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
4878
remove
betaConv
4781
ref
"_32072"
11
ref
var
4882
def
4787
remove
4783
ref
4882
ref
varTerm
4883
def
appTerm
4884
def
866
remove
4883
ref
appTerm
appTerm
appTerm
absTerm
149
ref
appTerm
4885
def
appTerm
refl
4882
ref
4786
ref
4872
remove
4785
ref
appTerm
4886
def
appTerm
4887
def
4884
ref
210
ref
4886
ref
appTerm
4888
def
4883
ref
appTerm
appTerm
appTerm
absTerm
4889
def
4875
remove
4785
ref
appTerm
4890
def
appTerm
betaConv
appThm
4781
remove
refl
4885
remove
betaConv
appThm
4887
remove
4783
ref
4890
ref
appTerm
4888
remove
4890
remove
appTerm
appTerm
appTerm
refl
appThm
trans
9
ref
10
ref
10
ref
11
ref
4774
remove
cons
opType
4891
def
10
ref
4891
remove
2
ref
cons
opType
nil
cons
cons
opType
constTerm
4892
def
"_32071"
11
ref
var
4893
def
4882
remove
4786
remove
4893
remove
varTerm
4894
def
appTerm
4884
remove
210
ref
4894
remove
appTerm
4883
remove
appTerm
appTerm
appTerm
absTerm
absTerm
4895
def
150
ref
appTerm
4896
def
appTerm
refl
4895
ref
4886
remove
appTerm
betaConv
appThm
4892
remove
refl
4896
remove
betaConv
appThm
4889
remove
refl
appThm
trans
4895
remove
refl
nil
4867
ref
166
ref
cons
4866
ref
168
remove
cons
nil
cons
4897
def
cons
nil
cons
cons
4898
def
162
ref
2472
remove
cons
329
ref
cons
4899
def
4824
ref
333
ref
4776
ref
10
ref
10
ref
4833
ref
2
ref
cons
opType
4900
def
4833
ref
nil
cons
4901
def
cons
opType
constTerm
"fn"
4833
remove
var
4902
def
119
ref
"a"
116
ref
var
4903
def
4838
ref
4824
ref
333
ref
4902
ref
varTerm
4782
remove
10
ref
116
ref
4845
remove
cons
opType
constTerm
4903
ref
varTerm
4904
def
appTerm
4830
ref
appTerm
4905
def
appTerm
appTerm
4906
def
4904
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4907
def
appTerm
4908
def
4905
ref
appTerm
appTerm
4904
ref
appTerm
absTerm
4909
def
4830
ref
appTerm
4910
def
betaConv
4903
ref
4838
ref
4909
ref
appTerm
4911
def
absTerm
4912
def
4904
ref
appTerm
4913
def
betaConv
4907
ref
4908
remove
appTerm
4914
def
betaConv
418
ref
10
ref
4900
ref
2
ref
cons
opType
constTerm
4915
def
refl
4902
remove
2647
ref
4903
ref
4838
ref
refl
4916
def
4824
ref
4906
remove
refl
4903
ref
4824
ref
4904
ref
absTerm
4917
def
absTerm
4918
def
4904
ref
appTerm
betaConv
4830
ref
refl
4919
def
appThm
4917
remove
4830
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
334
ref
cons
nil
cons
"_1343"
10
ref
116
ref
10
ref
395
ref
334
ref
cons
opType
nil
cons
cons
opType
var
4918
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
"f"
10
ref
116
ref
10
ref
395
remove
"C"
varType
4920
def
nil
cons
4921
def
cons
opType
nil
cons
cons
opType
4922
def
var
4923
def
4903
ref
4824
ref
"_1343"
4922
ref
var
varTerm
4904
ref
appTerm
4830
ref
appTerm
4924
def
absTerm
4925
def
absTerm
4926
def
nil
cons
cons
nil
cons
nil
cons
cons
4923
ref
418
ref
10
ref
10
ref
10
ref
4825
ref
4921
remove
cons
opType
4927
def
2
ref
cons
opType
4928
def
2
ref
cons
opType
4929
def
constTerm
4930
def
"fn"
4927
ref
var
4931
def
119
ref
4903
ref
4838
ref
4824
ref
9
ref
10
ref
4920
ref
10
ref
4920
remove
2
ref
cons
opType
nil
cons
cons
opType
constTerm
4931
ref
varTerm
4932
def
4905
ref
appTerm
appTerm
4933
def
4923
remove
varTerm
4934
def
4904
ref
appTerm
4830
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4935
def
4934
ref
appTerm
4936
def
betaConv
nil
30
ref
10
ref
10
ref
4922
ref
2
ref
cons
opType
4937
def
2
ref
cons
opType
constTerm
4935
ref
appTerm
4938
def
axiom
nil
35
ref
4938
remove
nil
cons
cons
36
ref
4936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
4922
ref
nil
cons
cons
nil
cons
"P"
4937
remove
var
4935
remove
nil
cons
cons
"x"
4922
remove
var
4934
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
nil
35
ref
4930
ref
4931
ref
119
ref
4903
ref
4838
ref
4824
ref
4933
ref
4926
remove
4904
ref
appTerm
4939
def
4830
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
4940
def
absTerm
4941
def
appTerm
4942
def
nil
cons
cons
36
ref
4930
remove
4931
ref
119
ref
4903
ref
4838
ref
4824
ref
4933
ref
4924
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
4943
def
appTerm
4944
def
nil
cons
4945
def
cons
nil
cons
4946
def
cons
nil
cons
cons
108
ref
subst
nil
"P"
4928
remove
var
4947
def
4931
ref
40
ref
4941
ref
4932
ref
appTerm
4948
def
appTerm
4944
ref
appTerm
4949
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
4927
ref
nil
cons
cons
nil
cons
4950
def
329
ref
cons
412
ref
subst
subst
4931
remove
nil
70
ref
4949
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4948
ref
nil
cons
4951
def
cons
4946
ref
cons
nil
cons
cons
4952
def
57
ref
subst
4952
remove
129
ref
subst
4948
ref
betaConv
4948
remove
assume
eqMp
nil
35
ref
4940
ref
nil
cons
4953
def
cons
4946
remove
cons
nil
cons
cons
4954
def
108
ref
subst
proveHyp
4954
ref
57
ref
subst
4954
remove
129
ref
subst
4943
ref
4932
ref
appTerm
betaConv
sym
2647
ref
4903
ref
4916
ref
4824
ref
4933
remove
refl
4939
remove
betaConv
4919
ref
appThm
4925
remove
4830
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
4940
remove
assume
eqMp
eqMp
4950
ref
4947
ref
4943
remove
nil
cons
cons
"x"
4927
remove
var
4955
def
4932
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
eqMp
nil
83
ref
4953
remove
cons
85
ref
4945
remove
cons
nil
cons
4956
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
4951
remove
cons
4956
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
30
ref
4929
remove
constTerm
4955
ref
40
ref
4941
ref
4955
remove
varTerm
appTerm
appTerm
4944
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
4942
remove
appTerm
4944
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4950
remove
4947
remove
4941
remove
nil
cons
cons
4956
remove
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
proveHyp
4957
def
subst
eqMp
nil
35
ref
4915
remove
4907
ref
appTerm
nil
cons
cons
36
ref
4914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
4901
remove
cons
nil
cons
"p"
4900
remove
var
4907
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
35
ref
521
ref
132
ref
appTerm
4958
def
nil
cons
4959
def
cons
4960
def
36
ref
39
ref
132
ref
4776
ref
10
ref
117
ref
334
remove
cons
opType
constTerm
132
ref
appTerm
appTerm
4961
def
appTerm
4962
def
62
ref
appTerm
4963
def
nil
cons
4964
def
cons
nil
cons
4965
def
cons
nil
cons
cons
4966
def
57
ref
subst
4966
remove
129
ref
subst
1008
remove
nil
1009
remove
1047
ref
cons
nil
cons
nil
cons
cons
1012
remove
1026
ref
1018
remove
appTerm
4967
def
betaConv
1028
remove
nil
35
ref
1027
remove
nil
cons
cons
36
ref
4967
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1029
ref
1030
ref
1026
remove
nil
cons
cons
1032
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
appThm
nil
70
ref
4959
ref
cons
nil
cons
nil
cons
cons
4968
def
77
ref
subst
4958
ref
assume
eqMp
trans
sym
76
ref
eqMp
nil
35
ref
1038
remove
nil
cons
cons
4965
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
120
ref
1047
remove
cons
85
ref
4964
remove
cons
nil
cons
4969
def
cons
nil
cons
cons
nil
1096
remove
36
ref
40
ref
521
remove
124
ref
126
ref
absTerm
4970
def
appTerm
4971
def
appTerm
90
ref
appTerm
4972
def
nil
cons
4973
def
cons
nil
cons
4974
def
cons
nil
cons
cons
4975
def
306
ref
subst
4975
ref
57
ref
subst
4975
remove
129
ref
subst
nil
120
ref
124
ref
40
ref
4970
ref
125
ref
appTerm
4976
def
appTerm
90
remove
appTerm
4977
def
absTerm
4978
def
nil
cons
cons
nil
cons
nil
cons
cons
412
ref
subst
124
ref
nil
70
ref
4977
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
4976
ref
nil
cons
4979
def
cons
1098
ref
cons
nil
cons
cons
4980
def
57
ref
subst
4980
remove
129
ref
subst
nil
"f"
117
remove
var
1010
remove
cons
1727
ref
1104
remove
cons
nil
cons
cons
nil
cons
cons
1011
remove
346
ref
cons
329
ref
cons
1727
remove
2479
ref
124
ref
2480
remove
absTerm
1729
ref
appTerm
appTerm
2475
ref
1729
ref
appTerm
appTerm
absTerm
4981
def
1729
remove
appTerm
4982
def
betaConv
2474
remove
119
ref
4981
ref
appTerm
4983
def
absTerm
4984
def
2475
remove
appTerm
4985
def
betaConv
nil
1023
remove
4984
ref
appTerm
4986
def
axiom
nil
35
ref
4986
remove
nil
cons
cons
36
ref
4985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1029
remove
1030
remove
4984
remove
nil
cons
cons
2497
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4983
remove
nil
cons
cons
36
ref
4982
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4981
remove
nil
cons
cons
1742
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
4987
def
4976
remove
assume
eqMp
1101
remove
proveHyp
1106
remove
eqMp
eqMp
nil
83
ref
4979
remove
cons
1108
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
119
ref
4978
remove
appTerm
nil
cons
cons
4974
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4970
remove
nil
cons
cons
4988
def
1108
ref
cons
nil
cons
cons
1176
ref
subst
eqMp
eqMp
nil
1107
remove
85
ref
4973
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
1092
remove
4972
ref
appTerm
nil
cons
cons
36
ref
40
ref
4972
ref
appTerm
1091
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
4973
ref
cons
36
ref
1095
ref
cons
nil
cons
cons
nil
cons
cons
4989
def
57
ref
subst
4989
remove
129
ref
subst
nil
1103
remove
nil
cons
nil
cons
cons
412
ref
subst
124
ref
nil
70
ref
1089
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
1100
ref
57
ref
subst
1100
remove
129
ref
subst
4987
remove
sym
126
remove
assume
eqMp
346
ref
4988
remove
1105
ref
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
4971
remove
nil
cons
cons
1098
remove
cons
nil
cons
cons
108
ref
subst
4972
remove
assume
eqMp
proveHyp
eqMp
nil
83
ref
127
remove
cons
1108
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
ref
4973
remove
cons
85
ref
1095
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
subst
nil
120
ref
124
ref
1085
ref
4963
ref
appTerm
4990
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
412
remove
subst
124
ref
nil
70
ref
4990
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
1036
remove
nil
cons
4991
def
cons
4992
def
4965
remove
cons
nil
cons
cons
4993
def
57
ref
subst
4993
remove
129
ref
subst
nil
70
ref
4961
ref
nil
cons
4994
def
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
4992
remove
36
ref
4994
remove
cons
4995
def
nil
cons
cons
nil
cons
cons
108
ref
subst
124
ref
1085
remove
4961
ref
appTerm
absTerm
4996
def
125
remove
appTerm
4997
def
betaConv
131
remove
119
ref
4996
ref
appTerm
4998
def
absTerm
4999
def
132
remove
appTerm
5000
def
betaConv
nil
1042
remove
4999
ref
appTerm
5001
def
axiom
nil
35
ref
5001
remove
nil
cons
cons
36
ref
5000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1044
remove
1045
remove
4999
remove
nil
cons
cons
1048
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4998
remove
nil
cons
cons
36
ref
4997
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4996
remove
nil
cons
cons
1105
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
4991
remove
cons
4969
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
83
ref
4959
ref
cons
4969
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
40
ref
4958
ref
appTerm
5002
def
4963
remove
appTerm
nil
cons
cons
36
ref
39
ref
5002
ref
4961
remove
appTerm
appTerm
5003
def
5002
ref
62
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"q'"
1
ref
var
5004
def
519
remove
cons
nil
cons
nil
cons
cons
4958
ref
refl
nil
35
ref
39
ref
4958
ref
appTerm
5005
def
4958
remove
appTerm
nil
cons
cons
36
ref
40
ref
5002
ref
4962
remove
5004
ref
varTerm
5006
def
appTerm
5007
def
appTerm
appTerm
5003
ref
5002
remove
5006
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"p'"
1
remove
var
5008
def
4959
remove
cons
nil
cons
nil
cons
cons
5004
ref
40
ref
5005
remove
5008
ref
varTerm
5009
def
appTerm
appTerm
40
ref
40
ref
5009
ref
appTerm
5010
def
5007
remove
appTerm
appTerm
5003
remove
5010
ref
5006
ref
appTerm
5011
def
appTerm
appTerm
appTerm
absTerm
5012
def
5006
ref
appTerm
5013
def
betaConv
5008
ref
315
ref
5012
ref
appTerm
5014
def
absTerm
5015
def
5009
ref
appTerm
5016
def
betaConv
nil
4995
remove
4960
remove
nil
cons
cons
nil
cons
cons
nil
318
ref
5008
ref
315
ref
5004
ref
40
ref
287
remove
5009
ref
appTerm
5017
def
appTerm
40
ref
5010
ref
39
ref
43
ref
appTerm
5006
ref
appTerm
5018
def
appTerm
5019
def
appTerm
45
remove
5011
ref
appTerm
5020
def
appTerm
5021
def
appTerm
5022
def
absTerm
5023
def
appTerm
5024
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
1094
ref
subst
5008
remove
nil
70
ref
5024
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
318
ref
5023
remove
nil
cons
cons
nil
cons
nil
cons
cons
1094
remove
subst
5004
remove
nil
70
ref
5022
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
5017
remove
nil
cons
5025
def
cons
5026
def
36
ref
5021
remove
nil
cons
5027
def
cons
nil
cons
cons
nil
cons
cons
5028
def
57
ref
subst
5028
remove
129
ref
subst
nil
35
ref
5019
ref
nil
cons
5029
def
cons
36
ref
5020
remove
nil
cons
5030
def
cons
nil
cons
cons
nil
cons
cons
5031
def
57
ref
subst
5031
remove
129
ref
subst
nil
296
remove
36
ref
5011
ref
nil
cons
5032
def
cons
nil
cons
cons
nil
cons
cons
5033
def
306
remove
subst
5033
ref
57
ref
subst
5033
remove
129
ref
subst
nil
35
ref
5009
ref
nil
cons
5034
def
cons
5035
def
36
ref
5006
ref
nil
cons
5036
def
cons
nil
cons
5037
def
cons
nil
cons
cons
5038
def
57
ref
subst
5038
ref
129
ref
subst
nil
5026
ref
36
ref
42
remove
5009
remove
appTerm
5039
def
nil
cons
5040
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
35
ref
71
remove
cons
36
ref
5034
ref
cons
nil
cons
cons
nil
cons
cons
5041
def
1175
ref
subst
eqMp
5042
def
nil
35
ref
5040
ref
cons
5043
def
5037
ref
cons
nil
cons
cons
5044
def
108
ref
subst
proveHyp
nil
5026
remove
36
ref
5010
remove
41
remove
appTerm
5045
def
nil
cons
5046
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
5041
ref
nil
1170
remove
299
remove
cons
nil
cons
cons
5047
def
57
ref
subst
5047
remove
129
ref
subst
300
remove
eqMp
nil
1173
remove
303
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
5048
def
subst
eqMp
5049
def
nil
35
ref
5046
ref
cons
5050
def
36
ref
40
ref
5039
ref
appTerm
5051
def
5006
ref
appTerm
nil
cons
5052
def
cons
nil
cons
cons
nil
cons
cons
5053
def
108
ref
subst
proveHyp
5053
ref
57
ref
subst
5053
remove
129
ref
subst
5044
ref
57
ref
subst
5044
remove
129
ref
subst
nil
5035
ref
301
remove
cons
nil
cons
cons
108
ref
subst
5045
remove
assume
eqMp
5054
def
5041
remove
108
ref
subst
5039
remove
assume
eqMp
5055
def
5054
remove
proveHyp
proveHyp
nil
5035
remove
36
ref
5018
remove
nil
cons
5056
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
5019
remove
assume
eqMp
5057
def
nil
35
ref
5056
remove
cons
5058
def
36
ref
297
remove
5006
ref
appTerm
5059
def
nil
cons
5060
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
290
remove
5037
ref
cons
nil
cons
cons
5061
def
1175
remove
subst
eqMp
5062
def
nil
35
ref
5060
ref
cons
5063
def
5037
remove
cons
nil
cons
cons
5064
def
108
ref
subst
proveHyp
5057
remove
nil
5058
remove
36
ref
40
ref
5006
ref
appTerm
43
ref
appTerm
5065
def
nil
cons
5066
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
5061
ref
5048
remove
subst
eqMp
5067
def
nil
35
ref
5066
ref
cons
5068
def
36
ref
40
ref
5059
ref
appTerm
5069
def
5006
remove
appTerm
nil
cons
5070
def
cons
nil
cons
cons
nil
cons
cons
5071
def
108
ref
subst
proveHyp
5071
ref
57
ref
subst
5071
remove
129
ref
subst
5064
ref
57
ref
subst
5064
remove
129
ref
subst
107
remove
5061
remove
108
ref
subst
5059
remove
assume
eqMp
proveHyp
eqMp
nil
83
ref
5060
remove
cons
5072
def
85
ref
5036
ref
cons
nil
cons
5073
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
5066
remove
cons
5074
def
85
ref
5070
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
83
ref
5040
remove
cons
5075
def
5073
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
5046
remove
cons
5076
def
85
ref
5052
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
5034
ref
cons
5073
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
302
remove
85
ref
5032
ref
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
35
ref
3174
remove
5011
ref
appTerm
nil
cons
cons
36
ref
40
ref
5011
ref
appTerm
44
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
35
ref
5032
ref
cons
1171
remove
cons
nil
cons
cons
5077
def
57
ref
subst
5077
remove
129
ref
subst
57
ref
129
ref
5042
remove
nil
5043
remove
291
ref
cons
nil
cons
cons
5078
def
108
ref
subst
proveHyp
5049
remove
nil
5050
remove
36
ref
5051
remove
43
ref
appTerm
nil
cons
5079
def
cons
nil
cons
cons
nil
cons
cons
5080
def
108
ref
subst
proveHyp
5080
ref
57
ref
subst
5080
remove
129
ref
subst
5078
ref
57
ref
subst
5078
remove
129
ref
subst
5055
remove
5062
remove
nil
5063
remove
291
ref
cons
nil
cons
cons
5081
def
108
ref
subst
proveHyp
5067
remove
nil
5068
remove
36
ref
5069
remove
43
remove
appTerm
nil
cons
5082
def
cons
nil
cons
cons
nil
cons
cons
5083
def
108
ref
subst
proveHyp
5083
ref
57
ref
subst
5083
remove
129
ref
subst
5081
ref
57
ref
subst
5081
remove
129
ref
subst
5038
remove
108
ref
subst
5011
remove
assume
eqMp
nil
35
ref
5036
ref
cons
291
remove
cons
nil
cons
cons
108
ref
subst
5065
remove
assume
eqMp
proveHyp
eqMp
nil
5072
remove
86
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
5074
remove
85
ref
5082
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
5075
remove
86
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
5076
remove
85
ref
5079
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
100
remove
deductAntisym
eqMp
eqMp
nil
83
ref
5032
remove
cons
1174
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
83
ref
5029
remove
cons
85
ref
5030
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
nil
83
ref
5025
remove
cons
85
ref
5027
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
35
ref
315
ref
5015
ref
appTerm
nil
cons
cons
36
ref
5016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
5015
remove
nil
cons
cons
319
ref
5034
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5014
remove
nil
cons
cons
36
ref
5013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
5012
remove
nil
cons
cons
319
ref
5036
remove
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
4968
remove
2015
remove
subst
trans
sym
76
ref
eqMp
5084
def
subst
eqMp
eqMp
nil
35
ref
119
ref
4912
ref
appTerm
nil
cons
cons
36
ref
4913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
4912
remove
nil
cons
cons
124
remove
4904
ref
nil
cons
cons
nil
cons
5085
def
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4911
remove
nil
cons
cons
36
ref
4910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
4849
ref
4909
remove
nil
cons
cons
4850
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
4898
remove
4899
ref
4824
ref
2479
ref
4776
remove
10
ref
10
ref
10
ref
4825
ref
396
ref
cons
opType
5086
def
2
ref
cons
opType
5087
def
5086
ref
nil
cons
5088
def
cons
opType
constTerm
"fn"
5086
ref
var
5089
def
119
ref
4903
ref
4838
ref
4824
ref
2479
ref
5089
ref
varTerm
4905
ref
appTerm
appTerm
5090
def
4830
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
5091
def
appTerm
5092
def
4905
ref
appTerm
appTerm
4830
ref
appTerm
absTerm
5093
def
4830
ref
appTerm
5094
def
betaConv
4903
ref
4838
ref
5093
ref
appTerm
5095
def
absTerm
5096
def
4904
ref
appTerm
5097
def
betaConv
5091
ref
5092
remove
appTerm
5098
def
betaConv
418
ref
10
ref
5087
ref
2
ref
cons
opType
constTerm
5099
def
refl
5089
remove
2647
remove
4903
ref
4916
remove
4824
ref
5090
remove
refl
4903
ref
4824
ref
4830
ref
absTerm
5100
def
absTerm
5101
def
4904
ref
appTerm
betaConv
4919
remove
appThm
5100
remove
4830
ref
appTerm
betaConv
trans
appThm
absThm
appThm
absThm
appThm
absThm
appThm
"C"
396
remove
cons
nil
cons
"_1343"
10
ref
116
remove
398
ref
cons
opType
var
5101
remove
nil
cons
cons
nil
cons
nil
cons
cons
4957
remove
subst
eqMp
nil
35
ref
5099
remove
5091
ref
appTerm
nil
cons
cons
36
ref
5098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
5088
remove
cons
nil
cons
"p"
5087
remove
var
5091
remove
nil
cons
cons
nil
cons
nil
cons
cons
5084
ref
subst
eqMp
eqMp
nil
35
ref
119
ref
5096
ref
appTerm
nil
cons
cons
36
ref
5097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
5096
remove
nil
cons
cons
5085
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5095
remove
nil
cons
cons
36
ref
5094
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
4849
ref
5093
remove
nil
cons
cons
4850
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
sym
subst
subst
appThm
eqMp
sym
trans
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
"A"
4778
remove
cons
nil
cons
5102
def
"P"
4777
ref
var
4854
ref
nil
cons
5103
def
cons
"x"
4775
ref
var
4877
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
418
ref
10
ref
4777
ref
2
ref
cons
opType
constTerm
4854
remove
appTerm
nil
cons
cons
36
ref
4861
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"p"
4777
remove
var
5103
remove
cons
nil
cons
nil
cons
cons
5102
remove
329
ref
cons
5084
remove
subst
subst
eqMp
eqMp
nil
35
ref
155
ref
4859
ref
appTerm
nil
cons
cons
36
ref
4860
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4859
remove
nil
cons
cons
167
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
4858
remove
nil
cons
cons
36
ref
4857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
4856
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
5104
def
subst
5105
def
appThm
nil
4818
ref
4783
ref
26
ref
appTerm
1956
ref
appTerm
nil
cons
cons
5106
def
4866
ref
143
remove
cons
nil
cons
cons
nil
cons
cons
5107
def
4823
ref
4824
ref
333
ref
4834
remove
4905
ref
appTerm
appTerm
4904
ref
appTerm
absTerm
5108
def
4830
ref
appTerm
5109
def
betaConv
4903
ref
4838
ref
5108
ref
appTerm
5110
def
absTerm
5111
def
4904
ref
appTerm
5112
def
betaConv
nil
119
ref
5111
ref
appTerm
5113
def
axiom
nil
35
ref
5113
remove
nil
cons
cons
36
ref
5112
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
ref
120
ref
5111
remove
nil
cons
cons
5085
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5110
remove
nil
cons
cons
36
ref
5109
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
4849
ref
5108
remove
nil
cons
cons
4850
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5114
def
subst
trans
trans
appThm
682
remove
trans
sym
76
ref
eqMp
nil
35
ref
678
remove
4795
ref
25
ref
appTerm
appTerm
5115
def
nil
cons
cons
36
ref
46
ref
691
remove
4795
ref
26
ref
appTerm
appTerm
5116
def
appTerm
155
ref
175
ref
40
ref
46
ref
15
ref
615
remove
appTerm
5117
def
4796
ref
appTerm
5118
def
appTerm
15
ref
614
remove
appTerm
5119
def
4795
ref
613
ref
appTerm
appTerm
5120
def
appTerm
appTerm
612
ref
4795
ref
610
ref
appTerm
appTerm
5121
def
appTerm
5122
def
absTerm
5123
def
appTerm
5124
def
appTerm
5125
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
693
remove
4799
remove
411
ref
4800
ref
333
ref
4802
ref
26
ref
appTerm
appTerm
4805
remove
"Data.Stream.tail"
const
5126
def
10
ref
3284
ref
3287
remove
cons
opType
constTerm
5127
def
4801
ref
appTerm
5128
def
appTerm
appTerm
absTerm
5129
def
4801
ref
appTerm
5130
def
betaConv
nil
4811
ref
5129
ref
appTerm
5131
def
axiom
nil
35
ref
5131
remove
nil
cons
cons
36
ref
5130
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4813
ref
4814
ref
5129
remove
nil
cons
cons
4816
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5132
def
subst
4804
remove
10
ref
3275
ref
16
remove
cons
opType
constTerm
refl
5133
def
4821
remove
4823
ref
4824
ref
9
remove
10
ref
3284
ref
4810
remove
nil
cons
cons
opType
constTerm
5134
def
5127
remove
4831
ref
appTerm
appTerm
4829
ref
"Data.Pair.snd"
const
5135
def
5086
ref
constTerm
5136
def
4835
remove
appTerm
appTerm
appTerm
absTerm
5137
def
4830
ref
appTerm
5138
def
betaConv
4827
ref
4838
ref
5137
ref
appTerm
5139
def
absTerm
5140
def
4828
ref
appTerm
5141
def
betaConv
nil
4843
ref
5140
ref
appTerm
5142
def
axiom
nil
35
ref
5142
remove
nil
cons
cons
36
ref
5141
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4846
ref
4847
ref
5140
remove
nil
cons
cons
4848
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5139
remove
nil
cons
cons
36
ref
5138
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
4849
ref
5137
remove
nil
cons
cons
4850
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5143
def
subst
4792
ref
refl
5144
def
5135
remove
10
ref
4773
remove
4771
ref
cons
opType
5145
def
constTerm
5146
def
refl
5147
def
5105
remove
appThm
5107
remove
162
remove
4822
remove
nil
cons
cons
329
remove
cons
4824
ref
2479
remove
5136
ref
4905
ref
appTerm
appTerm
4830
ref
appTerm
absTerm
5148
def
4830
ref
appTerm
5149
def
betaConv
4903
ref
4838
ref
5148
ref
appTerm
5150
def
absTerm
5151
def
4904
remove
appTerm
5152
def
betaConv
nil
119
ref
5151
ref
appTerm
5153
def
axiom
nil
35
ref
5153
remove
nil
cons
cons
36
ref
5152
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
346
remove
120
remove
5151
remove
nil
cons
cons
5085
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5150
remove
nil
cons
cons
36
ref
5149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
ref
4849
ref
5148
remove
nil
cons
cons
4850
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5154
def
subst
trans
appThm
trans
appThm
nil
5106
remove
4819
ref
cons
nil
cons
cons
4851
ref
subst
4852
ref
nil
145
ref
1956
ref
nil
cons
cons
142
ref
146
ref
cons
5155
def
nil
cons
cons
nil
cons
cons
5104
ref
subst
appThm
nil
4818
ref
4783
ref
1956
ref
appTerm
226
remove
1956
remove
appTerm
appTerm
nil
cons
cons
4866
ref
146
ref
cons
nil
cons
cons
nil
cons
cons
5114
ref
subst
trans
trans
trans
trans
appThm
3271
remove
trans
sym
76
ref
eqMp
nil
35
ref
5116
remove
nil
cons
cons
36
ref
5124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
5123
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
175
ref
nil
70
ref
5122
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
286
ref
465
ref
5117
ref
refl
5156
def
4795
remove
refl
767
ref
240
ref
416
remove
244
remove
appTerm
5157
def
absTerm
5158
def
242
ref
appTerm
5159
def
betaConv
468
ref
240
ref
5157
remove
assume
sym
245
remove
assume
sym
deductAntisym
absThm
appThm
249
remove
eqMp
nil
35
ref
155
ref
5158
ref
appTerm
nil
cons
cons
36
ref
5159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5158
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
appThm
appThm
5120
remove
refl
appThm
appThm
5121
remove
refl
appThm
sym
286
ref
465
ref
5156
ref
nil
3268
remove
4820
ref
cons
nil
cons
cons
4823
remove
443
ref
333
ref
3286
ref
4831
remove
appTerm
609
remove
445
ref
appTerm
appTerm
appTerm
3286
ref
4829
remove
"Function.^"
const
5160
def
10
ref
397
remove
10
ref
11
ref
398
ref
cons
opType
nil
cons
cons
opType
constTerm
"Function.o"
const
5161
def
10
ref
5086
remove
10
ref
4826
remove
398
remove
cons
opType
nil
cons
cons
opType
constTerm
5136
remove
appTerm
4828
ref
appTerm
appTerm
181
ref
appTerm
4830
ref
appTerm
appTerm
appTerm
445
ref
appTerm
appTerm
absTerm
5162
def
445
ref
appTerm
5163
def
betaConv
175
ref
155
ref
5162
ref
appTerm
5164
def
absTerm
5165
def
181
ref
appTerm
5166
def
betaConv
4824
ref
155
ref
5165
ref
appTerm
5167
def
absTerm
5168
def
4830
remove
appTerm
5169
def
betaConv
4827
remove
4838
ref
5168
ref
appTerm
5170
def
absTerm
5171
def
4828
remove
appTerm
5172
def
betaConv
nil
4843
remove
5171
ref
appTerm
5173
def
axiom
nil
35
ref
5173
remove
nil
cons
cons
36
ref
5172
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4846
remove
4847
remove
5171
remove
nil
cons
cons
4848
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5170
remove
nil
cons
cons
36
ref
5169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
403
remove
4849
remove
5168
remove
nil
cons
cons
4850
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5167
remove
nil
cons
cons
36
ref
5166
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5165
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5164
remove
nil
cons
cons
36
ref
5163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5162
remove
nil
cons
cons
1080
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
5174
def
subst
appThm
appThm
5119
ref
refl
5175
def
nil
443
ref
146
remove
cons
4820
ref
cons
nil
cons
cons
5174
ref
subst
appThm
appThm
appThm
612
ref
refl
nil
443
ref
727
remove
cons
4820
remove
cons
nil
cons
cons
5174
remove
subst
appThm
appThm
sym
"x"
4770
ref
var
5176
def
40
ref
46
ref
5117
ref
3276
ref
4792
ref
5176
ref
varTerm
5177
def
appTerm
appTerm
5178
def
25
ref
appTerm
appTerm
appTerm
5119
ref
5178
ref
26
ref
appTerm
appTerm
appTerm
appTerm
612
ref
5178
remove
602
ref
appTerm
appTerm
appTerm
absTerm
5179
def
5160
remove
10
ref
10
ref
4770
ref
4771
ref
cons
opType
5180
def
10
ref
11
ref
5180
remove
nil
cons
5181
def
cons
opType
nil
cons
cons
opType
constTerm
5161
remove
10
ref
5145
remove
10
ref
4775
remove
5181
remove
cons
opType
nil
cons
cons
opType
constTerm
5146
remove
appTerm
4791
remove
appTerm
appTerm
181
ref
appTerm
4793
remove
appTerm
5182
def
appTerm
5183
def
betaConv
87
ref
30
ref
10
ref
10
ref
4770
remove
2
ref
cons
opType
5184
def
2
ref
cons
opType
constTerm
5185
def
refl
5176
ref
5179
ref
5177
remove
appTerm
betaConv
absThm
appThm
appThm
468
ref
4866
ref
468
ref
4867
ref
5179
ref
4870
remove
appTerm
betaConv
absThm
appThm
absThm
appThm
appThm
nil
"p"
5184
ref
var
5179
ref
nil
cons
5186
def
cons
nil
cons
nil
cons
cons
4899
remove
"p"
10
ref
4825
ref
2
ref
cons
opType
5187
def
var
5188
def
39
ref
30
ref
10
ref
5187
ref
2
ref
cons
opType
5189
def
constTerm
"x"
4825
remove
var
5190
def
5188
remove
varTerm
5191
def
5190
remove
varTerm
appTerm
absTerm
appTerm
appTerm
119
remove
4903
remove
4838
remove
4824
remove
5191
ref
4905
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
5192
def
5191
ref
appTerm
5193
def
betaConv
nil
30
ref
10
ref
5189
ref
2
ref
cons
opType
constTerm
5192
ref
appTerm
5194
def
axiom
nil
35
ref
5194
remove
nil
cons
cons
36
ref
5193
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
5187
ref
nil
cons
cons
nil
cons
"P"
5189
remove
var
5192
remove
nil
cons
cons
"x"
5187
remove
var
5191
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
eqMp
sym
nil
164
ref
142
ref
155
ref
4867
remove
40
ref
46
ref
5117
ref
3276
ref
4792
ref
4784
remove
4869
remove
appTerm
appTerm
appTerm
5195
def
25
ref
appTerm
appTerm
appTerm
5119
ref
5195
ref
26
ref
appTerm
appTerm
appTerm
appTerm
612
ref
5195
remove
602
ref
appTerm
appTerm
appTerm
absTerm
appTerm
5196
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
142
ref
nil
70
ref
5196
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
145
ref
40
ref
46
ref
5117
ref
3276
remove
4792
remove
4785
ref
appTerm
5197
def
appTerm
5198
def
25
ref
appTerm
appTerm
appTerm
5119
ref
5198
ref
26
ref
appTerm
appTerm
appTerm
appTerm
5199
def
612
remove
5198
ref
602
ref
appTerm
5200
def
appTerm
appTerm
5201
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
145
ref
nil
70
ref
5201
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
5199
remove
refl
239
ref
622
remove
appThm
5200
remove
refl
appThm
appThm
sym
286
ref
465
ref
5156
remove
nil
4797
ref
5197
ref
nil
cons
cons
nil
cons
5202
def
nil
cons
cons
5203
def
4817
remove
subst
nil
4818
ref
4785
remove
nil
cons
cons
4819
ref
cons
nil
cons
cons
5204
def
4851
ref
subst
trans
4852
ref
5104
ref
appThm
nil
4818
ref
4789
remove
nil
cons
cons
5205
def
4897
remove
cons
nil
cons
cons
5206
def
5114
ref
subst
trans
trans
appThm
appThm
5175
remove
5203
remove
5132
ref
subst
5133
ref
5204
remove
5143
ref
subst
5144
ref
5147
ref
5104
ref
appThm
5206
remove
5154
ref
subst
trans
appThm
trans
5207
def
appThm
nil
5205
remove
4819
ref
cons
nil
cons
cons
5208
def
4851
ref
subst
4852
ref
nil
145
ref
4788
ref
nil
cons
5209
def
cons
142
ref
166
ref
cons
nil
cons
cons
nil
cons
cons
5104
ref
subst
5210
def
appThm
nil
4818
ref
4783
ref
4788
ref
appTerm
211
remove
4788
ref
appTerm
5211
def
appTerm
nil
cons
cons
5212
def
4866
ref
166
ref
cons
nil
cons
cons
nil
cons
cons
5213
def
5114
ref
subst
trans
trans
trans
trans
appThm
appThm
appThm
1701
ref
refl
5198
remove
refl
239
ref
572
remove
appThm
262
ref
266
ref
appThm
appThm
nil
165
ref
2346
remove
cons
nil
cons
nil
cons
cons
595
ref
subst
trans
sym
76
ref
eqMp
5214
def
appThm
nil
726
ref
5202
remove
cons
nil
cons
cons
411
ref
175
ref
333
ref
4802
remove
269
remove
appTerm
appTerm
3286
ref
5128
remove
appTerm
181
ref
appTerm
appTerm
absTerm
5215
def
181
ref
appTerm
5216
def
betaConv
4800
remove
155
ref
5215
ref
appTerm
5217
def
absTerm
5218
def
4801
remove
appTerm
5219
def
betaConv
nil
4811
ref
5218
ref
appTerm
5220
def
axiom
nil
35
ref
5220
remove
nil
cons
cons
36
ref
5219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4813
ref
4814
ref
5218
remove
nil
cons
cons
4816
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5217
remove
nil
cons
cons
36
ref
5216
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5215
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
nil
4797
remove
5126
remove
10
ref
3275
ref
3280
remove
cons
opType
constTerm
5221
def
5197
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
5132
remove
subst
5133
remove
5221
remove
refl
5207
remove
appThm
5208
remove
5143
remove
subst
5144
remove
5147
remove
5210
remove
appThm
5213
remove
5154
remove
subst
trans
appThm
trans
trans
appThm
nil
5212
remove
4819
remove
cons
nil
cons
cons
4851
remove
subst
4852
remove
nil
145
remove
5211
ref
nil
cons
cons
142
ref
5209
ref
cons
nil
cons
cons
nil
cons
cons
5104
remove
subst
appThm
nil
4818
remove
4783
remove
5211
ref
appTerm
210
ref
4788
ref
appTerm
5211
remove
appTerm
appTerm
nil
cons
cons
4866
remove
5209
remove
cons
nil
cons
cons
nil
cons
cons
5114
remove
subst
trans
trans
trans
trans
trans
trans
appThm
appThm
sym
nil
35
ref
46
ref
5117
remove
150
ref
appTerm
5222
def
appTerm
5119
remove
149
remove
appTerm
5223
def
appTerm
nil
cons
5224
def
cons
36
ref
1701
remove
4788
ref
appTerm
nil
cons
5225
def
cons
nil
cons
cons
nil
cons
cons
5226
def
57
ref
subst
5226
remove
129
ref
subst
nil
83
ref
5222
ref
nil
cons
cons
85
ref
5223
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
5227
def
99
ref
subst
5227
remove
305
ref
subst
239
ref
625
ref
5223
remove
assume
appThm
5222
remove
assume
appThm
appThm
4788
remove
refl
appThm
sym
nil
807
remove
240
ref
166
remove
cons
nil
cons
cons
nil
cons
cons
1480
ref
subst
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
5224
remove
cons
85
ref
5225
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
5185
remove
5179
remove
appTerm
nil
cons
cons
36
ref
5183
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
4771
remove
cons
nil
cons
"P"
5184
remove
var
5186
remove
cons
5176
remove
5182
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
nil
35
ref
46
ref
5115
remove
appTerm
5125
remove
appTerm
nil
cons
cons
36
ref
155
ref
175
ref
5118
remove
absTerm
5228
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
ref
5228
ref
25
ref
appTerm
betaConv
appThm
465
ref
5228
ref
26
ref
appTerm
betaConv
appThm
468
ref
175
ref
286
ref
465
ref
5228
ref
181
ref
appTerm
betaConv
5229
def
appThm
5228
ref
613
remove
appTerm
betaConv
appThm
appThm
5228
ref
610
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
appThm
468
ref
175
ref
5229
remove
absThm
appThm
appThm
nil
471
ref
5228
remove
nil
cons
cons
nil
cons
nil
cons
cons
1078
remove
subst
eqMp
eqMp
eqMp
nil
35
ref
155
ref
175
ref
3298
remove
4796
remove
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
3278
remove
4794
remove
appTerm
5230
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"s2"
3275
ref
var
4798
remove
cons
"s1"
3275
remove
var
3277
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
411
remove
"s2"
3284
ref
var
5231
def
40
ref
155
ref
175
ref
333
ref
3286
ref
"s1"
3284
remove
var
5232
def
varTerm
5233
def
appTerm
181
ref
appTerm
appTerm
3286
remove
5231
remove
varTerm
5234
def
appTerm
181
ref
appTerm
appTerm
absTerm
appTerm
appTerm
5134
remove
5233
ref
appTerm
5234
ref
appTerm
appTerm
absTerm
5235
def
5234
ref
appTerm
5236
def
betaConv
5232
remove
4811
ref
5235
ref
appTerm
5237
def
absTerm
5238
def
5233
ref
appTerm
5239
def
betaConv
nil
4811
remove
5238
ref
appTerm
5240
def
axiom
nil
35
ref
5240
remove
nil
cons
cons
36
ref
5239
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4813
ref
4814
ref
5238
remove
nil
cons
cons
4815
ref
5233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5237
remove
nil
cons
cons
36
ref
5236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
4813
remove
4814
remove
5235
remove
nil
cons
cons
4815
remove
5234
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
eqMp
nil
5230
remove
thm
nil
164
ref
1285
ref
155
ref
443
ref
40
ref
46
ref
230
ref
46
ref
4706
ref
appTerm
5241
def
671
ref
602
ref
appTerm
appTerm
appTerm
5242
def
appTerm
1373
ref
appTerm
5243
def
appTerm
1377
ref
appTerm
5244
def
absTerm
5245
def
appTerm
5246
def
absTerm
5247
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
5246
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
5245
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
5244
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
5243
remove
nil
cons
5248
def
cons
36
ref
1378
ref
cons
nil
cons
5249
def
cons
nil
cons
cons
5250
def
57
ref
subst
5250
remove
129
ref
subst
nil
83
ref
5242
ref
nil
cons
cons
85
ref
1374
remove
cons
nil
cons
cons
nil
cons
cons
5251
def
99
ref
subst
5251
remove
305
ref
subst
1393
ref
861
remove
subst
1373
remove
assume
eqMp
nil
35
ref
419
ref
852
ref
671
ref
1287
ref
854
remove
appTerm
5252
def
appTerm
5253
def
absTerm
5254
def
appTerm
5255
def
nil
cons
cons
5249
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
164
ref
852
ref
40
ref
5254
ref
853
ref
appTerm
5256
def
appTerm
1377
ref
appTerm
5257
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
852
remove
nil
70
ref
5257
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
5256
ref
nil
cons
5258
def
cons
5249
ref
cons
nil
cons
cons
5259
def
57
ref
subst
5259
remove
129
ref
subst
5256
ref
betaConv
5256
remove
assume
eqMp
nil
35
ref
5253
ref
nil
cons
5260
def
cons
5249
remove
cons
nil
cons
cons
5261
def
108
ref
subst
proveHyp
5261
ref
57
ref
subst
5261
remove
129
ref
subst
39
ref
"_32061"
11
ref
var
5262
def
1376
ref
444
ref
5262
remove
varTerm
appTerm
appTerm
absTerm
5263
def
445
ref
appTerm
5264
def
appTerm
refl
5263
ref
5252
ref
appTerm
betaConv
appThm
87
ref
5264
remove
betaConv
appThm
1376
ref
444
ref
5252
ref
appTerm
appTerm
5265
def
refl
appThm
trans
5263
remove
refl
5253
remove
assume
5266
def
appThm
eqMp
sym
39
ref
"_32063"
11
remove
var
5267
def
230
ref
5241
ref
15
ref
5267
remove
varTerm
appTerm
602
ref
appTerm
appTerm
appTerm
absTerm
5268
def
445
ref
appTerm
5269
def
appTerm
refl
5268
ref
5252
ref
appTerm
betaConv
appThm
87
ref
5269
remove
betaConv
appThm
230
ref
5241
remove
15
ref
5252
remove
appTerm
602
ref
appTerm
5270
def
appTerm
appTerm
5271
def
refl
appThm
trans
5268
remove
refl
5266
remove
appThm
eqMp
5242
remove
assume
eqMp
nil
35
ref
5271
remove
nil
cons
cons
36
ref
5265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
nil
821
ref
5270
remove
nil
cons
cons
822
ref
4706
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
836
remove
subst
415
ref
4707
remove
appTerm
5272
def
refl
238
ref
239
ref
nil
863
remove
1392
ref
cons
nil
cons
cons
5273
def
587
ref
subst
5274
def
appThm
5214
remove
appThm
nil
726
ref
240
ref
1287
ref
853
remove
appTerm
5275
def
nil
cons
5276
def
cons
nil
cons
cons
nil
cons
cons
4129
remove
subst
trans
appThm
appThm
trans
appThm
1376
ref
refl
626
ref
5274
remove
appThm
appThm
appThm
sym
nil
35
ref
5272
remove
230
ref
15
ref
5275
ref
appTerm
26
ref
appTerm
appTerm
5277
def
appTerm
nil
cons
5278
def
cons
36
ref
1376
ref
444
ref
254
ref
5275
ref
appTerm
5279
def
appTerm
5280
def
appTerm
nil
cons
5281
def
cons
nil
cons
5282
def
cons
nil
cons
cons
5283
def
57
ref
subst
5283
remove
129
ref
subst
nil
35
ref
5277
remove
nil
cons
5284
def
cons
5285
def
5282
ref
cons
nil
cons
cons
5286
def
57
ref
subst
5286
remove
129
ref
subst
175
ref
46
ref
1401
ref
181
ref
appTerm
appTerm
201
remove
5280
ref
appTerm
appTerm
absTerm
5287
def
444
ref
5275
ref
appTerm
5288
def
appTerm
betaConv
sym
5273
ref
1608
remove
subst
nil
35
ref
1399
remove
5275
remove
appTerm
nil
cons
cons
36
ref
1401
remove
5288
ref
appTerm
nil
cons
5289
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
5276
ref
cons
nil
cons
nil
cons
cons
1556
ref
subst
eqMp
nil
35
ref
5289
remove
cons
36
ref
200
ref
5288
ref
appTerm
5280
ref
appTerm
nil
cons
cons
nil
cons
5290
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
5285
remove
5290
remove
cons
nil
cons
cons
108
ref
subst
nil
1285
ref
5276
ref
cons
nil
cons
nil
cons
cons
4758
remove
subst
eqMp
eqMp
eqMp
163
ref
164
ref
5287
ref
nil
cons
cons
165
ref
5288
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1109
ref
subst
proveHyp
nil
35
ref
419
ref
5287
remove
appTerm
nil
cons
cons
5282
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
142
ref
5280
ref
nil
cons
cons
1395
remove
cons
nil
cons
cons
5291
def
1371
remove
subst
eqMp
eqMp
nil
83
ref
5284
ref
cons
85
ref
5281
ref
cons
nil
cons
5292
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
4714
remove
5282
ref
cons
nil
cons
cons
5293
def
57
ref
subst
5293
remove
129
ref
subst
175
ref
46
ref
1376
remove
181
ref
appTerm
appTerm
503
remove
5280
ref
appTerm
appTerm
absTerm
5294
def
4709
ref
appTerm
betaConv
sym
4756
remove
nil
35
ref
4715
remove
cons
36
ref
357
ref
4709
ref
appTerm
5280
remove
appTerm
nil
cons
cons
nil
cons
5295
def
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
175
ref
5276
remove
cons
1392
ref
cons
nil
cons
cons
558
remove
subst
5273
remove
1609
remove
subst
trans
sym
76
ref
eqMp
nil
35
ref
357
remove
4708
ref
appTerm
5279
ref
appTerm
nil
cons
cons
5295
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
443
ref
5279
remove
nil
cons
cons
1285
ref
4708
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1556
remove
subst
eqMp
eqMp
eqMp
163
ref
164
ref
5294
ref
nil
cons
cons
165
ref
4709
ref
nil
cons
5296
def
cons
nil
cons
cons
nil
cons
cons
1109
remove
subst
proveHyp
nil
35
ref
419
remove
5294
remove
appTerm
nil
cons
cons
5282
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
5291
remove
2438
remove
subst
eqMp
eqMp
nil
4757
ref
5292
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
nil
4757
remove
85
ref
5284
remove
cons
991
remove
5281
remove
cons
nil
cons
cons
cons
nil
cons
cons
1007
remove
subst
proveHyp
proveHyp
eqMp
nil
83
ref
5278
remove
cons
5292
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
83
ref
5260
remove
cons
85
ref
1378
remove
cons
nil
cons
5297
def
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
83
ref
5258
remove
cons
5297
ref
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
35
ref
155
ref
165
ref
40
ref
5254
ref
1157
remove
appTerm
appTerm
1377
ref
appTerm
absTerm
appTerm
nil
cons
cons
36
ref
40
ref
5255
remove
appTerm
1377
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5254
remove
nil
cons
cons
5297
ref
cons
nil
cons
cons
1176
remove
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
5248
remove
cons
5297
remove
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
5298
def
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
155
ref
5247
remove
appTerm
thm
nil
164
ref
1285
ref
155
ref
443
ref
40
ref
46
ref
230
ref
46
ref
1639
remove
602
ref
appTerm
5299
def
appTerm
671
remove
26
ref
appTerm
5300
def
appTerm
appTerm
5301
def
appTerm
1402
ref
appTerm
5302
def
appTerm
1400
ref
appTerm
5303
def
absTerm
5304
def
appTerm
5305
def
absTerm
5306
def
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
5305
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
164
ref
5304
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
443
ref
nil
70
ref
5303
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
5302
remove
nil
cons
5307
def
cons
36
ref
1400
remove
nil
cons
5308
def
cons
nil
cons
5309
def
cons
nil
cons
cons
5310
def
57
ref
subst
5310
remove
129
ref
subst
nil
83
ref
5301
ref
nil
cons
cons
85
ref
1402
remove
nil
cons
5311
def
cons
nil
cons
cons
nil
cons
cons
5312
def
99
ref
subst
5312
remove
305
remove
subst
nil
35
ref
5311
ref
cons
5309
remove
cons
nil
cons
cons
108
ref
subst
nil
822
ref
5308
ref
cons
821
ref
5311
remove
cons
nil
cons
cons
nil
cons
cons
1389
remove
subst
sym
286
ref
1393
ref
848
ref
subst
appThm
1396
remove
848
remove
subst
appThm
sym
nil
35
ref
200
remove
445
ref
appTerm
1286
ref
appTerm
5313
def
nil
cons
5314
def
cons
36
ref
562
remove
1375
ref
appTerm
nil
cons
5315
def
cons
nil
cons
5316
def
cons
nil
cons
cons
5317
def
57
ref
subst
5317
remove
129
ref
subst
46
ref
230
remove
46
ref
5300
ref
appTerm
5299
ref
appTerm
appTerm
5318
def
appTerm
5319
def
refl
nil
70
ref
5314
ref
cons
nil
cons
nil
cons
cons
77
ref
subst
5313
ref
assume
eqMp
appThm
nil
70
ref
5318
remove
nil
cons
cons
nil
cons
nil
cons
cons
1260
remove
subst
trans
sym
238
remove
nil
821
ref
5299
remove
nil
cons
cons
822
ref
5300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
821
remove
39
ref
825
remove
appTerm
46
ref
824
ref
appTerm
823
ref
appTerm
appTerm
absTerm
5320
def
824
remove
appTerm
5321
def
betaConv
822
remove
315
ref
5320
ref
appTerm
5322
def
absTerm
5323
def
823
remove
appTerm
5324
def
betaConv
nil
315
remove
5323
ref
appTerm
5325
def
axiom
nil
35
ref
5325
remove
nil
cons
cons
36
ref
5324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
ref
318
ref
5323
remove
nil
cons
cons
834
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5322
remove
nil
cons
cons
36
ref
5321
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
317
remove
318
remove
5320
remove
nil
cons
cons
835
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
sym
5301
remove
assume
eqMp
eqMp
nil
35
ref
5319
remove
5313
remove
appTerm
nil
cons
cons
5316
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
1398
remove
5298
remove
subst
eqMp
eqMp
nil
83
ref
5314
remove
cons
85
ref
5315
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
83
ref
5307
remove
cons
85
ref
5308
remove
cons
nil
cons
cons
nil
cons
cons
99
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
155
ref
5306
remove
appTerm
thm
465
ref
1907
remove
4317
remove
subst
1908
remove
trans
appThm
1387
remove
1840
remove
2051
remove
1838
remove
87
remove
1900
remove
appThm
1889
ref
refl
appThm
nil
319
remove
1889
remove
nil
cons
cons
nil
cons
nil
cons
cons
696
remove
subst
trans
absThm
appThm
2501
remove
trans
absThm
appThm
520
remove
695
remove
741
remove
subst
subst
trans
appThm
782
remove
trans
sym
76
ref
eqMp
nil
46
ref
39
remove
1746
remove
appTerm
62
remove
appTerm
appTerm
1895
remove
appTerm
thm
468
ref
443
ref
239
ref
626
ref
4527
remove
appThm
appThm
625
ref
"Number.Natural.*"
const
209
remove
constTerm
5326
def
refl
5327
def
680
remove
appThm
637
remove
appThm
511
remove
175
ref
15
ref
5326
ref
25
ref
appTerm
181
ref
appTerm
appTerm
25
ref
appTerm
absTerm
5328
def
181
ref
appTerm
5329
def
betaConv
nil
155
ref
5328
ref
appTerm
5330
def
axiom
nil
35
ref
5330
remove
nil
cons
cons
36
ref
5329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5328
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
trans
appThm
5327
ref
2458
remove
appThm
2228
remove
appThm
nil
640
remove
nil
cons
nil
cons
cons
5331
def
767
remove
240
ref
15
ref
5326
ref
26
ref
appTerm
242
ref
appTerm
appTerm
242
ref
appTerm
absTerm
5332
def
242
ref
appTerm
5333
def
betaConv
nil
155
ref
5332
ref
appTerm
5334
def
axiom
nil
35
ref
5334
remove
nil
cons
cons
36
ref
5333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5332
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
5331
remove
734
remove
subst
trans
appThm
658
remove
trans
absThm
appThm
743
ref
trans
sym
76
ref
eqMp
nil
35
ref
155
ref
443
ref
15
ref
444
ref
730
remove
447
ref
appTerm
appTerm
appTerm
210
ref
5326
ref
677
remove
appTerm
451
ref
appTerm
appTerm
5326
ref
1957
remove
appTerm
448
ref
appTerm
appTerm
appTerm
absTerm
appTerm
5335
def
nil
cons
cons
36
ref
155
ref
1285
ref
40
ref
155
ref
443
ref
15
ref
444
ref
1287
ref
447
ref
appTerm
5336
def
appTerm
appTerm
210
ref
5326
ref
1375
remove
appTerm
5337
def
451
ref
appTerm
appTerm
5326
ref
1289
remove
appTerm
5338
def
448
ref
appTerm
appTerm
5339
def
appTerm
absTerm
5340
def
appTerm
5341
def
appTerm
155
ref
443
ref
15
ref
444
ref
210
ref
4708
ref
appTerm
5342
def
447
ref
appTerm
appTerm
appTerm
210
ref
5326
ref
4709
remove
appTerm
5343
def
451
remove
appTerm
5344
def
appTerm
5345
def
5326
ref
444
ref
5342
remove
26
ref
appTerm
appTerm
appTerm
448
ref
appTerm
appTerm
appTerm
5346
def
absTerm
5347
def
appTerm
5348
def
appTerm
5349
def
absTerm
5350
def
appTerm
5351
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
129
ref
subst
proveHyp
nil
164
ref
5350
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
1285
ref
nil
70
ref
5349
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
ref
subst
nil
35
ref
5341
ref
nil
cons
5352
def
cons
5353
def
36
ref
5348
remove
nil
cons
5354
def
cons
nil
cons
cons
nil
cons
cons
5355
def
57
remove
subst
5355
remove
129
ref
subst
nil
164
ref
5347
remove
nil
cons
cons
nil
cons
nil
cons
cons
413
remove
subst
443
ref
nil
70
remove
5346
remove
nil
cons
cons
nil
cons
nil
cons
cons
77
remove
subst
239
ref
626
ref
nil
4525
remove
1392
ref
cons
5356
def
nil
cons
cons
765
ref
subst
262
ref
1287
ref
refl
5357
def
1586
remove
appThm
1393
ref
587
ref
subst
trans
appThm
trans
appThm
appThm
5345
remove
refl
5358
def
5327
ref
626
ref
nil
726
remove
1392
ref
cons
nil
cons
cons
765
remove
subst
262
ref
5357
ref
266
remove
appThm
nil
176
remove
1392
ref
cons
nil
cons
cons
587
remove
subst
262
ref
nil
1392
remove
nil
cons
cons
5359
def
252
remove
subst
appThm
trans
trans
appThm
trans
appThm
appThm
2342
remove
appThm
appThm
appThm
sym
15
ref
444
ref
254
ref
254
remove
1460
remove
appTerm
appTerm
appTerm
appTerm
refl
5360
def
5358
ref
5327
ref
nil
1397
remove
nil
cons
nil
cons
cons
659
remove
subst
appThm
2122
remove
appThm
appThm
appThm
sym
5360
ref
5358
remove
nil
3593
ref
1543
remove
240
ref
5296
remove
cons
nil
cons
5361
def
cons
cons
nil
cons
cons
142
ref
15
ref
5326
ref
577
remove
appTerm
150
ref
appTerm
appTerm
210
ref
5326
ref
242
ref
appTerm
5362
def
150
ref
appTerm
5363
def
appTerm
5326
ref
181
ref
appTerm
150
ref
appTerm
appTerm
appTerm
absTerm
5364
def
150
ref
appTerm
5365
def
betaConv
175
ref
155
ref
5364
ref
appTerm
5366
def
absTerm
5367
def
181
ref
appTerm
5368
def
betaConv
240
ref
155
ref
5367
ref
appTerm
5369
def
absTerm
5370
def
242
ref
appTerm
5371
def
betaConv
nil
155
ref
5370
ref
appTerm
5372
def
axiom
nil
35
ref
5372
remove
nil
cons
cons
36
ref
5371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5370
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5369
remove
nil
cons
cons
36
ref
5368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5367
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5366
remove
nil
cons
cons
36
ref
5365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5364
remove
nil
cons
cons
169
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
nil
142
ref
5337
ref
597
ref
appTerm
5373
def
nil
cons
5374
def
cons
175
ref
5343
ref
597
remove
appTerm
nil
cons
cons
240
ref
5344
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
3171
remove
subst
trans
appThm
sym
5360
ref
625
ref
nil
3593
remove
485
remove
5361
remove
cons
cons
nil
cons
cons
142
ref
15
ref
210
ref
5362
ref
181
ref
appTerm
appTerm
5363
remove
appTerm
5375
def
appTerm
5362
remove
645
remove
appTerm
5376
def
appTerm
5377
def
absTerm
5378
def
150
remove
appTerm
5379
def
betaConv
175
ref
155
ref
5378
ref
appTerm
5380
def
absTerm
5381
def
181
ref
appTerm
5382
def
betaConv
240
ref
155
ref
5381
ref
appTerm
5383
def
absTerm
5384
def
242
ref
appTerm
5385
def
betaConv
468
ref
240
ref
468
ref
175
ref
468
ref
142
ref
5377
remove
assume
sym
15
ref
5376
remove
appTerm
5375
remove
appTerm
5386
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
155
ref
240
ref
155
ref
175
ref
155
ref
142
remove
5386
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
35
ref
155
ref
5384
ref
appTerm
nil
cons
cons
36
ref
5385
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5384
remove
nil
cons
cons
251
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5383
remove
nil
cons
cons
36
ref
5382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5381
remove
nil
cons
cons
192
ref
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5380
remove
nil
cons
cons
36
ref
5379
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5378
remove
nil
cons
cons
169
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
5373
ref
refl
appThm
appThm
sym
5360
ref
nil
175
ref
5374
remove
cons
240
ref
5343
ref
3783
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1480
ref
subst
appThm
sym
5360
ref
210
ref
5373
remove
appTerm
5387
def
refl
5388
def
5343
ref
refl
5389
def
nil
668
remove
561
remove
cons
nil
cons
cons
1480
remove
subst
appThm
appThm
appThm
sym
5360
remove
5388
remove
5389
remove
2375
remove
appThm
appThm
appThm
sym
239
ref
626
ref
262
remove
1393
remove
175
ref
15
ref
578
remove
appTerm
576
remove
appTerm
5390
def
absTerm
5391
def
181
ref
appTerm
5392
def
betaConv
240
ref
155
ref
5391
ref
appTerm
5393
def
absTerm
5394
def
242
ref
appTerm
5395
def
betaConv
468
ref
240
ref
468
ref
175
ref
5390
remove
assume
sym
579
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
586
remove
eqMp
nil
35
ref
155
ref
5394
ref
appTerm
nil
cons
cons
36
ref
5395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5394
remove
nil
cons
cons
251
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
nil
35
ref
5393
remove
nil
cons
cons
36
ref
5392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
163
ref
164
ref
5391
remove
nil
cons
cons
192
remove
cons
nil
cons
cons
140
ref
subst
eqMp
eqMp
subst
appThm
appThm
appThm
5387
remove
5343
remove
547
remove
appTerm
appTerm
refl
appThm
sym
239
ref
626
ref
nil
240
ref
1287
remove
544
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
634
ref
subst
625
ref
5357
remove
635
ref
appThm
appThm
1684
ref
appThm
trans
appThm
appThm
625
ref
5337
ref
refl
636
remove
appThm
appThm
5327
ref
626
ref
5359
remove
634
ref
subst
appThm
appThm
626
ref
2117
remove
634
remove
subst
625
ref
635
remove
appThm
1684
remove
appThm
trans
appThm
appThm
appThm
appThm
sym
239
ref
626
remove
nil
5155
remove
5356
remove
cons
nil
cons
cons
2991
remove
subst
appThm
appThm
210
ref
5337
remove
448
remove
appTerm
appTerm
5338
remove
444
remove
1559
remove
26
remove
appTerm
appTerm
appTerm
appTerm
refl
appThm
sym
2140
remove
5340
ref
445
ref
appTerm
5396
def
betaConv
5397
def
nil
5353
remove
36
ref
5396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
5398
def
163
ref
164
ref
5340
remove
nil
cons
cons
1080
remove
cons
nil
cons
cons
140
ref
subst
5399
def
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
nil
83
remove
5352
remove
cons
85
remove
5354
remove
cons
nil
cons
cons
nil
cons
cons
99
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
35
ref
46
ref
5335
remove
appTerm
5351
remove
appTerm
nil
cons
cons
36
ref
155
ref
1285
ref
5341
remove
absTerm
5400
def
appTerm
5401
def
nil
cons
5402
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
286
ref
465
remove
5400
ref
25
remove
appTerm
betaConv
appThm
468
ref
1285
ref
286
remove
5400
ref
1286
ref
appTerm
5403
def
betaConv
5404
def
appThm
5400
ref
4708
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
468
ref
1285
ref
5404
ref
absThm
appThm
appThm
nil
471
remove
5400
remove
nil
cons
5405
def
cons
nil
cons
nil
cons
cons
778
remove
subst
eqMp
eqMp
5406
def
nil
5401
remove
thm
1077
remove
nil
1076
remove
thm
468
ref
1285
ref
468
remove
443
ref
239
remove
nil
175
ref
5336
ref
nil
cons
cons
nil
cons
nil
cons
cons
3294
ref
subst
5397
remove
5404
remove
5406
remove
nil
35
remove
5402
remove
cons
36
ref
5403
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
remove
subst
proveHyp
163
remove
164
remove
5405
remove
cons
1555
remove
cons
nil
cons
cons
140
remove
subst
eqMp
eqMp
5398
remove
proveHyp
5399
remove
eqMp
eqMp
trans
appThm
625
remove
5327
ref
1428
remove
3294
ref
subst
appThm
608
remove
3294
ref
subst
appThm
appThm
5327
remove
nil
175
ref
1288
ref
nil
cons
cons
nil
cons
nil
cons
cons
3294
ref
subst
appThm
4526
remove
3294
remove
subst
appThm
appThm
appThm
nil
165
remove
5339
remove
nil
cons
cons
nil
cons
nil
cons
cons
595
remove
subst
trans
absThm
appThm
743
ref
trans
absThm
appThm
743
remove
trans
sym
76
remove
eqMp
nil
155
ref
1285
remove
155
ref
443
remove
15
ref
3297
ref
5336
remove
appTerm
appTerm
210
remove
5326
ref
3297
ref
1286
remove
appTerm
appTerm
3297
ref
445
remove
appTerm
appTerm
appTerm
5326
remove
3297
ref
1288
remove
appTerm
appTerm
3297
remove
447
remove
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
160
remove
nil
161
remove
36
remove
3154
remove
cons
nil
cons
cons
nil
cons
cons
129
remove
subst
proveHyp
3153
remove
eqMp
nil
46
remove
159
remove
appTerm
3152
remove
appTerm
thm
nil
30
remove
10
ref
10
ref
10
remove
3281
ref
3285
remove
cons
opType
5407
def
2
ref
cons
opType
2
remove
cons
opType
constTerm
"h"
5407
remove
var
5408
def
40
ref
3292
ref
3282
ref
3292
remove
"g"
3281
remove
var
5409
def
155
ref
175
ref
40
ref
155
ref
240
remove
40
remove
415
remove
1250
remove
181
ref
appTerm
appTerm
15
remove
243
remove
602
remove
appTerm
appTerm
181
ref
appTerm
appTerm
appTerm
333
ref
3288
ref
242
ref
appTerm
appTerm
5409
remove
varTerm
5410
def
242
remove
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
333
ref
5408
remove
varTerm
5411
def
3288
ref
appTerm
181
ref
appTerm
5412
def
appTerm
5411
remove
5410
remove
appTerm
181
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
418
remove
3291
remove
constTerm
3282
remove
155
remove
175
remove
333
remove
3288
remove
181
remove
appTerm
appTerm
5412
remove
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
5413
def
axiom
nil
5413
remove
thm