6
version
"Data.Bool.!"
const
0
def
"->"
typeOp
1
def
1
ref
"Number.Natural.natural"
typeOp
nil
opType
2
def
"bool"
typeOp
nil
opType
3
def
nil
cons
4
def
cons
opType
5
def
4
ref
cons
opType
6
def
constTerm
7
def
refl
8
def
"n"
2
ref
var
9
def
"="
const
10
def
1
ref
2
ref
5
ref
nil
cons
11
def
cons
opType
12
def
constTerm
13
def
refl
14
def
"Number.Natural.^"
const
1
ref
2
ref
1
ref
2
ref
2
ref
nil
cons
15
def
cons
opType
16
def
nil
cons
17
def
cons
opType
18
def
constTerm
19
def
9
ref
varTerm
20
def
appTerm
21
def
refl
22
def
nil
9
ref
"Number.Natural.zero"
const
2
ref
constTerm
23
def
nil
cons
24
def
cons
25
def
nil
cons
26
def
nil
cons
cons
27
def
9
ref
13
ref
"Number.Natural.bit1"
const
16
ref
constTerm
28
def
20
ref
appTerm
appTerm
"Number.Natural.suc"
const
16
ref
constTerm
29
def
"Number.Natural.bit0"
const
16
ref
constTerm
30
def
20
ref
appTerm
31
def
appTerm
32
def
appTerm
absTerm
33
def
20
ref
appTerm
34
def
betaConv
nil
7
ref
33
ref
appTerm
35
def
axiom
nil
"p"
3
ref
var
36
def
35
remove
nil
cons
cons
"q"
3
ref
var
37
def
34
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
10
ref
1
ref
3
ref
1
ref
3
ref
4
ref
cons
opType
38
def
nil
cons
cons
opType
39
def
constTerm
40
def
"Data.Bool.==>"
const
39
ref
constTerm
41
def
36
ref
varTerm
42
def
appTerm
43
def
37
ref
varTerm
44
def
appTerm
45
def
appTerm
46
def
refl
36
ref
37
ref
40
ref
"Data.Bool./\\"
const
39
ref
constTerm
47
def
42
ref
appTerm
48
def
44
ref
appTerm
49
def
appTerm
50
def
42
ref
appTerm
absTerm
51
def
absTerm
52
def
42
ref
appTerm
betaConv
44
ref
refl
53
def
appThm
51
remove
44
ref
appTerm
betaConv
trans
appThm
nil
10
ref
1
ref
39
ref
1
ref
39
ref
4
ref
cons
opType
54
def
nil
cons
cons
opType
constTerm
55
def
41
ref
appTerm
52
remove
appTerm
axiom
42
ref
refl
56
def
appThm
53
ref
appThm
eqMp
57
def
sym
58
def
50
remove
refl
37
ref
10
ref
1
ref
54
ref
1
ref
54
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
59
def
"f"
39
ref
var
60
def
60
ref
varTerm
61
def
42
ref
appTerm
44
ref
appTerm
absTerm
62
def
appTerm
60
ref
61
ref
"Data.Bool.T"
const
3
ref
constTerm
63
def
appTerm
63
ref
appTerm
absTerm
64
def
appTerm
absTerm
65
def
44
ref
appTerm
betaConv
appThm
10
ref
1
ref
38
ref
1
ref
38
ref
4
ref
cons
opType
66
def
nil
cons
cons
opType
constTerm
67
def
48
ref
appTerm
refl
36
ref
65
remove
absTerm
68
def
42
ref
appTerm
betaConv
appThm
nil
55
ref
47
ref
appTerm
68
ref
appTerm
axiom
69
def
56
remove
appThm
eqMp
53
ref
appThm
eqMp
70
def
sym
60
ref
61
ref
refl
nil
"t"
3
ref
var
71
def
42
ref
nil
cons
72
def
cons
nil
cons
nil
cons
cons
73
def
40
ref
71
ref
varTerm
74
def
appTerm
75
def
63
ref
appTerm
76
def
assume
sym
nil
63
ref
axiom
77
def
eqMp
74
ref
assume
77
ref
deductAntisym
deductAntisym
78
def
subst
42
ref
assume
79
def
eqMp
appThm
nil
71
ref
44
ref
nil
cons
80
def
cons
nil
cons
nil
cons
cons
81
def
78
ref
subst
44
ref
assume
82
def
eqMp
appThm
absThm
eqMp
83
def
nil
"P"
3
ref
var
84
def
72
ref
cons
85
def
"Q"
3
ref
var
86
def
80
ref
cons
nil
cons
87
def
cons
nil
cons
cons
40
ref
refl
88
def
60
ref
61
remove
84
ref
varTerm
89
def
appTerm
90
def
86
ref
varTerm
91
def
appTerm
absTerm
92
def
36
ref
37
ref
42
ref
absTerm
absTerm
93
def
appTerm
betaConv
93
ref
89
ref
appTerm
betaConv
91
ref
refl
94
def
appThm
37
ref
89
ref
absTerm
91
ref
appTerm
betaConv
trans
trans
appThm
64
ref
93
ref
appTerm
betaConv
93
ref
63
ref
appTerm
betaConv
63
ref
refl
95
def
appThm
37
ref
63
ref
absTerm
63
ref
appTerm
betaConv
trans
trans
appThm
40
ref
47
ref
89
ref
appTerm
96
def
91
ref
appTerm
97
def
appTerm
refl
37
ref
59
remove
60
remove
90
remove
44
ref
appTerm
absTerm
appTerm
64
ref
appTerm
absTerm
91
ref
appTerm
betaConv
appThm
67
ref
96
remove
appTerm
refl
68
remove
89
ref
appTerm
betaConv
appThm
69
remove
89
ref
refl
98
def
appThm
eqMp
94
ref
appThm
eqMp
97
remove
assume
eqMp
99
def
93
remove
refl
appThm
eqMp
sym
77
ref
eqMp
100
def
subst
101
def
deductAntisym
eqMp
57
remove
45
ref
assume
102
def
eqMp
sym
79
remove
eqMp
88
ref
62
remove
36
ref
37
ref
44
ref
absTerm
103
def
absTerm
104
def
appTerm
betaConv
104
ref
42
ref
appTerm
betaConv
53
ref
appThm
103
ref
44
ref
appTerm
betaConv
trans
trans
appThm
64
remove
104
ref
appTerm
betaConv
104
ref
63
ref
appTerm
betaConv
95
remove
appThm
103
ref
63
ref
appTerm
betaConv
trans
trans
105
def
appThm
70
remove
49
ref
assume
eqMp
104
ref
refl
106
def
appThm
eqMp
sym
77
ref
eqMp
107
def
proveHyp
108
def
deductAntisym
109
def
subst
proveHyp
"A"
15
ref
cons
nil
cons
110
def
"P"
5
ref
var
111
def
33
remove
nil
cons
cons
"x"
2
ref
var
112
def
20
ref
nil
cons
113
def
cons
nil
cons
114
def
cons
nil
cons
cons
nil
36
ref
0
ref
1
ref
1
ref
"A"
varType
115
def
4
ref
cons
opType
116
def
4
ref
cons
opType
117
def
constTerm
118
def
"P"
116
ref
var
119
def
varTerm
120
def
appTerm
121
def
nil
cons
122
def
cons
37
ref
120
ref
"x"
115
ref
var
123
def
varTerm
124
def
appTerm
125
def
nil
cons
126
def
cons
nil
cons
cons
nil
cons
cons
127
def
58
ref
subst
127
remove
107
remove
83
remove
deductAntisym
128
def
subst
40
ref
125
ref
appTerm
refl
123
ref
63
ref
absTerm
129
def
124
ref
appTerm
betaConv
appThm
"p"
116
ref
var
130
def
10
ref
1
ref
116
ref
117
ref
nil
cons
cons
opType
constTerm
130
ref
varTerm
131
def
appTerm
129
remove
appTerm
absTerm
132
def
120
ref
appTerm
betaConv
133
def
nil
10
ref
1
ref
117
ref
1
ref
117
ref
4
ref
cons
opType
134
def
nil
cons
cons
opType
constTerm
135
def
118
ref
appTerm
132
remove
appTerm
axiom
120
ref
refl
136
def
appThm
137
def
121
ref
assume
eqMp
eqMp
124
ref
refl
138
def
appThm
eqMp
sym
77
ref
eqMp
eqMp
nil
84
ref
122
remove
cons
86
ref
126
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
139
def
subst
eqMp
eqMp
140
def
subst
29
ref
refl
141
def
nil
13
ref
30
ref
23
ref
appTerm
appTerm
142
def
23
ref
appTerm
axiom
143
def
appThm
144
def
trans
145
def
appThm
nil
25
ref
"m"
2
ref
var
146
def
113
ref
cons
147
def
nil
cons
148
def
cons
nil
cons
cons
149
def
9
ref
13
ref
19
ref
146
ref
varTerm
150
def
appTerm
151
def
29
ref
20
ref
appTerm
152
def
appTerm
153
def
appTerm
"Number.Natural.*"
const
18
ref
constTerm
154
def
150
ref
appTerm
155
def
151
ref
20
ref
appTerm
156
def
appTerm
appTerm
absTerm
157
def
20
ref
appTerm
158
def
betaConv
146
ref
7
ref
157
ref
appTerm
159
def
absTerm
160
def
150
ref
appTerm
161
def
betaConv
nil
7
ref
160
ref
appTerm
162
def
axiom
163
def
nil
36
ref
162
ref
nil
cons
164
def
cons
37
ref
161
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
160
remove
nil
cons
cons
112
ref
150
ref
nil
cons
165
def
cons
nil
cons
166
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
159
remove
nil
cons
cons
37
ref
158
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
157
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
167
def
subst
154
ref
20
ref
appTerm
168
def
refl
169
def
nil
148
ref
nil
cons
cons
170
def
146
ref
13
ref
151
ref
23
ref
appTerm
171
def
appTerm
28
remove
23
ref
appTerm
172
def
appTerm
absTerm
173
def
150
ref
appTerm
174
def
betaConv
nil
7
ref
173
ref
appTerm
175
def
axiom
176
def
nil
36
ref
175
ref
nil
cons
177
def
cons
178
def
37
ref
174
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
173
ref
nil
cons
cons
179
def
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
180
def
subst
181
def
145
ref
trans
appThm
149
ref
9
ref
13
ref
155
ref
152
ref
appTerm
182
def
appTerm
"Number.Natural.+"
const
18
ref
constTerm
183
def
150
ref
appTerm
184
def
155
ref
20
ref
appTerm
185
def
appTerm
186
def
appTerm
187
def
absTerm
188
def
20
ref
appTerm
189
def
betaConv
146
ref
7
ref
188
ref
appTerm
190
def
absTerm
191
def
150
ref
appTerm
192
def
betaConv
nil
7
ref
191
ref
appTerm
193
def
axiom
194
def
nil
36
ref
193
ref
nil
cons
cons
37
ref
192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
191
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
190
remove
nil
cons
cons
37
ref
189
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
188
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
195
def
subst
183
ref
20
ref
appTerm
196
def
refl
170
ref
146
ref
13
ref
155
ref
23
ref
appTerm
appTerm
23
ref
appTerm
absTerm
197
def
150
ref
appTerm
198
def
betaConv
nil
7
ref
197
ref
appTerm
199
def
axiom
nil
36
ref
199
ref
nil
cons
200
def
cons
37
ref
198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
197
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
201
def
subst
appThm
170
ref
146
ref
13
ref
184
ref
23
ref
appTerm
appTerm
150
ref
appTerm
absTerm
202
def
150
ref
appTerm
203
def
betaConv
nil
7
ref
202
ref
appTerm
204
def
axiom
nil
36
ref
204
remove
nil
cons
cons
37
ref
203
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
202
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
205
def
subst
206
def
trans
trans
trans
trans
207
def
trans
appThm
20
ref
refl
208
def
appThm
nil
114
ref
nil
cons
cons
110
ref
nil
nil
cons
209
def
cons
210
def
nil
71
ref
10
ref
1
ref
115
ref
116
ref
nil
cons
211
def
cons
opType
constTerm
212
def
124
ref
appTerm
213
def
124
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
138
ref
eqMp
214
def
subst
215
def
subst
216
def
trans
absThm
appThm
nil
71
ref
63
ref
nil
cons
217
def
cons
nil
cons
nil
cons
cons
218
def
210
ref
71
ref
40
ref
118
ref
123
ref
74
ref
absTerm
219
def
appTerm
appTerm
74
ref
appTerm
absTerm
220
def
74
ref
appTerm
221
def
betaConv
nil
0
ref
66
remove
constTerm
222
def
220
ref
appTerm
223
def
axiom
nil
36
ref
223
remove
nil
cons
cons
37
ref
221
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
4
ref
cons
nil
cons
224
def
"P"
38
ref
var
225
def
220
remove
nil
cons
cons
"x"
3
ref
var
226
def
74
ref
nil
cons
227
def
cons
nil
cons
228
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
229
def
trans
sym
77
ref
eqMp
nil
7
ref
9
ref
13
ref
21
ref
172
ref
appTerm
appTerm
20
ref
appTerm
absTerm
appTerm
thm
"Number.Natural.<"
const
12
ref
constTerm
230
def
23
ref
appTerm
231
def
refl
232
def
nil
146
ref
30
ref
172
ref
appTerm
233
def
nil
cons
234
def
cons
nil
cons
235
def
nil
cons
cons
236
def
180
ref
subst
145
ref
trans
appThm
nil
25
ref
146
ref
24
ref
cons
237
def
nil
cons
238
def
cons
nil
cons
cons
9
ref
40
ref
230
ref
150
ref
appTerm
239
def
152
ref
appTerm
appTerm
"Data.Bool.\\/"
const
39
ref
constTerm
240
def
13
ref
150
ref
appTerm
241
def
20
ref
appTerm
242
def
appTerm
239
ref
20
ref
appTerm
243
def
appTerm
appTerm
absTerm
244
def
20
ref
appTerm
245
def
betaConv
146
ref
7
ref
244
ref
appTerm
246
def
absTerm
247
def
150
ref
appTerm
248
def
betaConv
nil
7
ref
247
ref
appTerm
249
def
axiom
nil
36
ref
249
remove
nil
cons
cons
37
ref
248
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
247
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
246
remove
nil
cons
cons
37
ref
245
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
244
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
250
def
subst
240
ref
refl
251
def
nil
112
ref
24
ref
cons
nil
cons
nil
cons
cons
252
def
215
ref
subst
253
def
appThm
nil
238
ref
nil
cons
cons
254
def
146
ref
"Data.Bool.~"
const
38
ref
constTerm
255
def
239
ref
23
ref
appTerm
256
def
appTerm
257
def
absTerm
258
def
150
ref
appTerm
259
def
betaConv
nil
7
ref
258
ref
appTerm
260
def
axiom
261
def
nil
36
ref
260
remove
nil
cons
262
def
cons
263
def
37
ref
259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
258
ref
nil
cons
cons
264
def
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
257
remove
nil
cons
cons
37
ref
40
ref
256
ref
appTerm
"Data.Bool.F"
const
3
ref
constTerm
265
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
84
ref
256
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
36
ref
255
ref
89
ref
appTerm
266
def
nil
cons
267
def
cons
37
ref
40
ref
89
ref
appTerm
265
ref
appTerm
nil
cons
268
def
cons
nil
cons
cons
nil
cons
cons
269
def
58
ref
subst
269
remove
128
ref
subst
nil
36
ref
89
ref
nil
cons
270
def
cons
271
def
37
ref
265
ref
nil
cons
272
def
cons
nil
cons
273
def
cons
nil
cons
cons
41
ref
refl
274
def
40
ref
42
ref
appTerm
275
def
44
ref
appTerm
276
def
assume
277
def
appThm
53
ref
appThm
sym
nil
36
ref
80
ref
cons
278
def
37
ref
80
ref
cons
nil
cons
279
def
cons
nil
cons
cons
280
def
58
ref
subst
280
remove
128
ref
subst
82
remove
eqMp
nil
84
ref
80
ref
cons
87
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
281
def
eqMp
282
def
nil
36
ref
45
ref
nil
cons
283
def
cons
284
def
37
ref
41
ref
44
ref
appTerm
285
def
42
ref
appTerm
nil
cons
286
def
cons
nil
cons
287
def
cons
nil
cons
cons
128
ref
subst
proveHyp
285
ref
refl
277
remove
appThm
sym
281
remove
eqMp
288
def
eqMp
nil
278
ref
37
ref
72
ref
cons
nil
cons
289
def
cons
nil
cons
cons
109
ref
subst
nil
84
ref
283
ref
cons
290
def
86
ref
286
remove
cons
nil
cons
291
def
cons
nil
cons
cons
292
def
88
ref
92
remove
104
ref
appTerm
betaConv
104
remove
89
ref
appTerm
betaConv
94
ref
appThm
103
remove
91
ref
appTerm
betaConv
trans
trans
appThm
105
remove
appThm
99
remove
106
remove
appThm
eqMp
sym
77
ref
eqMp
293
def
subst
eqMp
109
ref
292
remove
100
ref
subst
eqMp
deductAntisym
deductAntisym
294
def
subst
40
ref
266
ref
appTerm
refl
36
ref
43
ref
265
ref
appTerm
absTerm
295
def
89
ref
appTerm
betaConv
appThm
nil
67
ref
255
ref
appTerm
295
remove
appTerm
axiom
98
ref
appThm
eqMp
296
def
266
remove
assume
eqMp
nil
36
ref
41
ref
89
ref
appTerm
297
def
265
ref
appTerm
nil
cons
cons
37
ref
41
ref
265
ref
appTerm
298
def
89
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
36
ref
272
ref
cons
299
def
37
ref
270
ref
cons
nil
cons
cons
nil
cons
cons
300
def
58
ref
subst
300
remove
128
ref
subst
36
ref
42
ref
absTerm
301
def
89
ref
appTerm
302
def
betaConv
nil
40
ref
265
ref
appTerm
303
def
222
ref
301
ref
appTerm
304
def
appTerm
axiom
265
ref
assume
eqMp
nil
36
ref
304
remove
nil
cons
cons
37
ref
302
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
301
remove
nil
cons
cons
226
ref
270
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
305
def
eqMp
nil
84
ref
272
ref
cons
306
def
86
ref
270
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
84
ref
267
remove
cons
86
ref
268
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
307
def
subst
eqMp
308
def
subst
309
def
appThm
nil
71
ref
272
ref
cons
nil
cons
nil
cons
cons
310
def
71
ref
40
ref
240
ref
63
ref
appTerm
311
def
74
ref
appTerm
appTerm
63
ref
appTerm
absTerm
312
def
74
ref
appTerm
313
def
betaConv
nil
222
ref
312
ref
appTerm
314
def
axiom
nil
36
ref
314
remove
nil
cons
cons
37
ref
313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
312
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
315
def
subst
trans
trans
316
def
trans
sym
77
ref
eqMp
nil
36
ref
231
ref
19
ref
233
ref
appTerm
317
def
23
ref
appTerm
318
def
appTerm
319
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
230
ref
20
ref
appTerm
320
def
317
ref
20
ref
appTerm
321
def
appTerm
322
def
appTerm
230
ref
152
ref
appTerm
323
def
317
ref
152
ref
appTerm
appTerm
324
def
appTerm
325
def
absTerm
326
def
appTerm
327
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
326
remove
nil
cons
cons
nil
cons
nil
cons
cons
210
ref
40
ref
121
remove
appTerm
refl
133
remove
appThm
137
remove
eqMp
sym
328
def
subst
329
def
subst
9
ref
nil
71
ref
325
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
322
ref
nil
cons
330
def
cons
37
ref
324
remove
nil
cons
331
def
cons
nil
cons
cons
nil
cons
cons
332
def
58
ref
subst
332
remove
128
ref
subst
323
remove
refl
236
ref
167
ref
subst
appThm
sym
230
ref
refl
333
def
170
ref
146
ref
13
ref
29
ref
150
ref
appTerm
334
def
appTerm
335
def
184
ref
172
ref
appTerm
appTerm
absTerm
336
def
150
ref
appTerm
337
def
betaConv
nil
7
ref
336
ref
appTerm
338
def
axiom
nil
36
ref
338
remove
nil
cons
cons
37
ref
337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
336
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
appThm
nil
9
ref
321
ref
nil
cons
339
def
cons
340
def
nil
cons
nil
cons
cons
341
def
9
ref
13
ref
154
ref
233
ref
appTerm
342
def
20
ref
appTerm
appTerm
196
ref
20
ref
appTerm
343
def
appTerm
absTerm
344
def
20
ref
appTerm
345
def
betaConv
nil
7
ref
344
ref
appTerm
346
def
axiom
nil
36
ref
346
remove
nil
cons
cons
37
ref
345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
344
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
347
def
subst
appThm
sym
47
ref
refl
348
def
nil
71
ref
330
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
322
ref
assume
eqMp
appThm
"Number.Natural.<="
const
12
ref
constTerm
349
def
refl
350
def
145
ref
appThm
321
ref
refl
appThm
nil
340
remove
238
ref
cons
nil
cons
cons
9
ref
40
ref
349
ref
334
ref
appTerm
20
ref
appTerm
appTerm
243
ref
appTerm
absTerm
351
def
20
ref
appTerm
352
def
betaConv
146
ref
7
ref
351
ref
appTerm
353
def
absTerm
354
def
150
ref
appTerm
355
def
betaConv
nil
7
ref
354
ref
appTerm
356
def
axiom
nil
36
ref
356
remove
nil
cons
cons
37
ref
355
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
354
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
353
remove
nil
cons
cons
37
ref
352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
351
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
357
def
subst
341
remove
9
ref
40
ref
231
ref
20
ref
appTerm
358
def
appTerm
255
ref
13
ref
20
ref
appTerm
359
def
23
ref
appTerm
360
def
appTerm
361
def
appTerm
absTerm
362
def
20
ref
appTerm
363
def
betaConv
nil
7
ref
362
ref
appTerm
364
def
axiom
nil
36
ref
364
remove
nil
cons
cons
37
ref
363
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
362
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
255
ref
refl
365
def
236
ref
9
ref
40
ref
13
ref
156
ref
appTerm
366
def
23
ref
appTerm
appTerm
47
ref
241
ref
23
ref
appTerm
367
def
appTerm
368
def
361
ref
appTerm
appTerm
absTerm
369
def
20
ref
appTerm
370
def
betaConv
146
ref
7
ref
369
ref
appTerm
371
def
absTerm
372
def
150
ref
appTerm
373
def
betaConv
374
def
88
ref
14
ref
254
ref
180
ref
subst
375
def
27
ref
140
remove
141
ref
9
ref
13
ref
31
remove
appTerm
343
ref
appTerm
376
def
absTerm
377
def
20
ref
appTerm
378
def
betaConv
379
def
14
ref
143
remove
appThm
27
ref
9
ref
13
ref
183
ref
23
ref
appTerm
380
def
20
ref
appTerm
appTerm
20
ref
appTerm
absTerm
381
def
20
ref
appTerm
382
def
betaConv
nil
7
ref
381
ref
appTerm
383
def
axiom
nil
36
ref
383
remove
nil
cons
cons
37
ref
382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
381
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
384
def
subst
385
def
appThm
253
ref
trans
sym
77
ref
eqMp
nil
36
ref
142
remove
380
ref
23
ref
appTerm
appTerm
386
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
376
ref
appTerm
13
ref
30
ref
152
ref
appTerm
appTerm
387
def
183
ref
152
ref
appTerm
152
ref
appTerm
appTerm
388
def
appTerm
389
def
absTerm
390
def
appTerm
391
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
390
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
389
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
376
ref
nil
cons
392
def
cons
37
ref
388
remove
nil
cons
393
def
cons
nil
cons
cons
nil
cons
cons
394
def
58
ref
subst
394
remove
128
ref
subst
14
ref
9
ref
387
remove
29
ref
32
remove
appTerm
appTerm
absTerm
395
def
20
ref
appTerm
396
def
betaConv
nil
7
ref
395
ref
appTerm
397
def
axiom
nil
36
ref
397
remove
nil
cons
cons
37
ref
396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
395
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
398
def
141
ref
141
ref
376
remove
assume
appThm
appThm
trans
appThm
nil
9
ref
152
ref
nil
cons
cons
148
ref
cons
nil
cons
cons
9
ref
13
ref
183
ref
334
ref
appTerm
20
ref
appTerm
appTerm
29
ref
184
ref
20
ref
appTerm
399
def
appTerm
400
def
appTerm
absTerm
401
def
20
ref
appTerm
402
def
betaConv
146
ref
7
ref
401
ref
appTerm
403
def
absTerm
404
def
150
ref
appTerm
405
def
betaConv
nil
7
ref
404
ref
appTerm
406
def
axiom
nil
36
ref
406
remove
nil
cons
cons
37
ref
405
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
404
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
403
remove
nil
cons
cons
37
ref
402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
401
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
141
ref
170
ref
9
ref
13
ref
184
ref
152
ref
appTerm
appTerm
400
remove
appTerm
absTerm
407
def
20
ref
appTerm
408
def
betaConv
146
ref
7
ref
407
ref
appTerm
409
def
absTerm
410
def
150
ref
appTerm
411
def
betaConv
nil
7
ref
410
ref
appTerm
412
def
axiom
nil
36
ref
412
remove
nil
cons
cons
37
ref
411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
410
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
409
remove
nil
cons
cons
37
ref
408
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
407
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
413
def
subst
appThm
trans
appThm
nil
112
ref
29
ref
29
ref
343
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
392
remove
cons
86
ref
393
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
386
remove
appTerm
391
remove
appTerm
nil
cons
cons
37
ref
7
ref
377
ref
appTerm
nil
cons
414
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
377
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
379
ref
appThm
377
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
379
remove
absThm
appThm
appThm
nil
"p"
5
ref
var
415
def
377
remove
nil
cons
416
def
cons
nil
cons
nil
cons
cons
415
ref
41
ref
47
ref
415
ref
varTerm
417
def
23
ref
appTerm
appTerm
418
def
7
ref
9
ref
41
ref
417
ref
20
ref
appTerm
419
def
appTerm
417
ref
152
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
7
ref
9
ref
419
ref
absTerm
appTerm
420
def
appTerm
absTerm
421
def
417
ref
appTerm
422
def
betaConv
nil
0
ref
1
ref
6
ref
4
ref
cons
opType
constTerm
423
def
421
ref
appTerm
424
def
axiom
nil
36
ref
424
remove
nil
cons
cons
37
ref
422
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
11
remove
cons
nil
cons
425
def
"P"
6
ref
var
426
def
421
remove
nil
cons
cons
"x"
5
ref
var
417
ref
nil
cons
cons
nil
cons
427
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
428
def
subst
eqMp
eqMp
nil
36
ref
414
remove
cons
37
ref
378
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
416
remove
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
appThm
trans
subst
429
def
trans
141
ref
385
remove
appThm
430
def
trans
appThm
27
ref
208
ref
subst
431
def
appThm
27
ref
9
ref
255
ref
13
ref
152
ref
appTerm
23
ref
appTerm
432
def
appTerm
433
def
absTerm
434
def
20
ref
appTerm
435
def
betaConv
nil
7
ref
434
ref
appTerm
436
def
axiom
nil
36
ref
436
remove
nil
cons
cons
37
ref
435
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
434
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
433
ref
nil
cons
cons
37
ref
40
ref
432
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
84
ref
432
ref
nil
cons
cons
nil
cons
nil
cons
cons
307
ref
subst
eqMp
437
def
subst
438
def
trans
appThm
348
ref
253
ref
appThm
439
def
365
ref
253
ref
appThm
nil
40
ref
255
ref
63
ref
appTerm
440
def
appTerm
265
ref
appTerm
axiom
441
def
trans
442
def
appThm
310
ref
71
ref
40
ref
47
ref
63
ref
appTerm
443
def
74
ref
appTerm
appTerm
74
ref
appTerm
absTerm
444
def
74
ref
appTerm
445
def
betaConv
nil
222
ref
444
ref
appTerm
446
def
axiom
nil
36
ref
446
remove
nil
cons
cons
37
ref
445
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
444
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
447
def
subst
trans
appThm
310
ref
71
ref
40
ref
303
ref
74
ref
appTerm
appTerm
255
ref
74
ref
appTerm
448
def
appTerm
absTerm
449
def
74
ref
appTerm
450
def
betaConv
nil
222
ref
449
ref
appTerm
451
def
axiom
nil
36
ref
451
remove
nil
cons
cons
37
ref
450
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
449
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
452
def
subst
nil
40
ref
255
ref
265
ref
appTerm
453
def
appTerm
63
ref
appTerm
axiom
454
def
trans
455
def
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
13
ref
19
ref
23
ref
appTerm
456
def
23
ref
appTerm
457
def
appTerm
23
ref
appTerm
appTerm
47
ref
13
ref
23
ref
appTerm
458
def
23
ref
appTerm
459
def
appTerm
460
def
255
ref
459
ref
appTerm
461
def
appTerm
appTerm
462
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
40
ref
13
ref
456
ref
20
ref
appTerm
463
def
appTerm
464
def
23
ref
appTerm
465
def
appTerm
460
ref
361
ref
appTerm
appTerm
466
def
appTerm
40
ref
13
ref
456
ref
152
ref
appTerm
467
def
appTerm
23
ref
appTerm
appTerm
460
remove
433
ref
appTerm
appTerm
468
def
appTerm
469
def
absTerm
470
def
appTerm
471
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
470
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
469
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
466
ref
nil
cons
472
def
cons
37
ref
468
remove
nil
cons
473
def
cons
nil
cons
cons
nil
cons
cons
474
def
58
ref
subst
474
remove
128
ref
subst
88
ref
14
ref
254
ref
167
ref
subst
nil
9
ref
463
ref
nil
cons
cons
nil
cons
nil
cons
cons
9
ref
13
ref
154
ref
23
ref
appTerm
475
def
20
ref
appTerm
appTerm
23
ref
appTerm
absTerm
476
def
20
ref
appTerm
477
def
betaConv
nil
7
ref
476
ref
appTerm
478
def
axiom
nil
36
ref
478
ref
nil
cons
479
def
cons
37
ref
477
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
476
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
480
def
subst
trans
481
def
appThm
431
ref
appThm
253
ref
trans
appThm
439
ref
365
ref
437
ref
appThm
454
ref
trans
482
def
appThm
218
ref
447
ref
subst
483
def
trans
appThm
218
ref
71
ref
40
ref
40
ref
63
ref
appTerm
484
def
74
ref
appTerm
appTerm
74
ref
appTerm
absTerm
485
def
74
ref
appTerm
486
def
betaConv
nil
222
ref
485
ref
appTerm
487
def
axiom
nil
36
ref
487
remove
nil
cons
cons
37
ref
486
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
485
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
488
def
subst
489
def
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
472
remove
cons
86
ref
473
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
462
remove
appTerm
471
remove
appTerm
nil
cons
cons
37
ref
7
ref
9
ref
466
remove
absTerm
490
def
appTerm
491
def
nil
cons
492
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
490
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
490
ref
20
ref
appTerm
betaConv
493
def
appThm
490
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
493
remove
absThm
appThm
appThm
nil
415
ref
490
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
36
ref
492
remove
cons
37
ref
7
ref
146
ref
41
ref
371
ref
appTerm
7
ref
9
ref
40
ref
13
ref
19
ref
334
ref
appTerm
494
def
20
ref
appTerm
495
def
appTerm
23
ref
appTerm
appTerm
47
ref
335
remove
23
ref
appTerm
496
def
appTerm
497
def
361
ref
appTerm
appTerm
498
def
absTerm
499
def
appTerm
500
def
appTerm
501
def
absTerm
502
def
appTerm
503
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
502
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
501
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
371
remove
nil
cons
504
def
cons
505
def
37
ref
500
remove
nil
cons
506
def
cons
nil
cons
507
def
cons
nil
cons
cons
508
def
58
ref
subst
508
remove
128
ref
subst
88
ref
14
ref
nil
146
ref
334
ref
nil
cons
509
def
cons
nil
cons
nil
cons
cons
510
def
180
ref
subst
429
remove
trans
430
remove
trans
appThm
431
ref
appThm
438
remove
trans
appThm
348
ref
nil
9
ref
165
ref
cons
511
def
nil
cons
512
def
nil
cons
cons
513
def
437
ref
subst
514
def
appThm
515
def
442
ref
appThm
310
ref
71
ref
40
ref
47
ref
265
ref
appTerm
516
def
74
ref
appTerm
appTerm
265
ref
appTerm
absTerm
517
def
74
ref
appTerm
518
def
betaConv
nil
222
ref
517
ref
appTerm
519
def
axiom
nil
36
ref
519
remove
nil
cons
cons
37
ref
518
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
517
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
520
def
subst
trans
appThm
455
ref
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
13
ref
494
ref
23
ref
appTerm
appTerm
23
ref
appTerm
appTerm
497
ref
461
ref
appTerm
appTerm
521
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
498
ref
appTerm
40
ref
13
ref
494
remove
152
ref
appTerm
appTerm
23
ref
appTerm
appTerm
497
remove
433
ref
appTerm
appTerm
522
def
appTerm
523
def
absTerm
524
def
appTerm
525
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
524
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
523
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
498
ref
nil
cons
526
def
cons
37
ref
522
remove
nil
cons
527
def
cons
nil
cons
cons
nil
cons
cons
528
def
58
ref
subst
528
remove
128
ref
subst
88
ref
14
ref
510
remove
167
ref
subst
nil
9
ref
495
ref
nil
cons
cons
529
def
nil
cons
nil
cons
cons
9
ref
13
ref
154
ref
334
ref
appTerm
20
ref
appTerm
appTerm
183
ref
185
ref
appTerm
20
ref
appTerm
530
def
appTerm
absTerm
531
def
20
ref
appTerm
532
def
betaConv
146
ref
7
ref
531
ref
appTerm
533
def
absTerm
534
def
150
ref
appTerm
535
def
betaConv
nil
7
ref
534
ref
appTerm
536
def
axiom
nil
36
ref
536
ref
nil
cons
cons
37
ref
535
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
534
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
533
remove
nil
cons
cons
37
ref
532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
531
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
537
def
subst
trans
appThm
431
ref
appThm
nil
529
remove
146
ref
155
ref
495
remove
appTerm
538
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
9
ref
40
ref
13
ref
399
ref
appTerm
539
def
23
ref
appTerm
appTerm
368
remove
360
ref
appTerm
appTerm
absTerm
540
def
20
ref
appTerm
541
def
betaConv
146
ref
7
ref
540
ref
appTerm
542
def
absTerm
543
def
150
ref
appTerm
544
def
betaConv
nil
7
ref
543
ref
appTerm
545
def
axiom
nil
36
ref
545
remove
nil
cons
cons
37
ref
544
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
543
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
542
remove
nil
cons
cons
37
ref
541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
540
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
47
ref
13
ref
538
remove
appTerm
23
ref
appTerm
546
def
appTerm
refl
498
remove
assume
515
ref
361
ref
refl
547
def
appThm
nil
71
ref
361
ref
nil
cons
548
def
cons
nil
cons
nil
cons
cons
520
ref
subst
549
def
trans
trans
appThm
nil
71
ref
546
remove
nil
cons
cons
nil
cons
nil
cons
cons
71
ref
40
ref
47
ref
74
ref
appTerm
550
def
265
ref
appTerm
appTerm
265
ref
appTerm
absTerm
551
def
74
ref
appTerm
552
def
betaConv
nil
222
ref
551
ref
appTerm
553
def
axiom
nil
36
ref
553
remove
nil
cons
cons
37
ref
552
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
551
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
554
def
subst
trans
trans
trans
appThm
515
remove
482
ref
appThm
218
ref
520
ref
subst
trans
appThm
455
ref
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
526
remove
cons
86
ref
527
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
521
remove
appTerm
525
remove
appTerm
nil
cons
cons
507
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
499
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
499
ref
20
ref
appTerm
betaConv
555
def
appThm
499
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
555
remove
absThm
appThm
appThm
nil
415
ref
499
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
504
remove
cons
86
ref
506
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
491
remove
appTerm
503
remove
appTerm
nil
cons
cons
37
ref
7
ref
372
ref
appTerm
556
def
nil
cons
557
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
372
ref
23
ref
appTerm
betaConv
appThm
8
ref
146
ref
274
ref
374
ref
appThm
372
ref
334
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
146
ref
374
remove
absThm
appThm
appThm
nil
415
ref
372
remove
nil
cons
558
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
559
def
nil
36
ref
557
remove
cons
37
ref
373
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
558
remove
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
505
remove
37
ref
370
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
369
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
560
def
subst
appThm
trans
trans
trans
appThm
nil
71
ref
255
ref
47
ref
13
ref
233
ref
appTerm
561
def
23
ref
appTerm
562
def
appTerm
361
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
trans
sym
365
ref
348
ref
14
ref
14
ref
30
remove
refl
145
ref
appThm
27
ref
398
remove
subst
141
ref
144
remove
appThm
trans
trans
563
def
appThm
141
ref
145
ref
appThm
appThm
nil
112
ref
29
ref
29
ref
23
ref
appTerm
564
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
sym
77
ref
eqMp
565
def
appThm
431
ref
appThm
nil
9
ref
172
ref
nil
cons
566
def
cons
567
def
nil
cons
nil
cons
cons
568
def
437
ref
subst
trans
569
def
appThm
570
def
547
ref
appThm
549
ref
trans
appThm
454
ref
trans
sym
77
ref
eqMp
eqMp
nil
36
ref
47
ref
322
ref
appTerm
349
ref
172
ref
appTerm
571
def
321
ref
appTerm
appTerm
nil
cons
cons
37
ref
230
ref
196
ref
172
ref
appTerm
appTerm
183
ref
321
ref
appTerm
321
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"q"
2
ref
var
572
def
339
ref
cons
"p"
2
ref
var
573
def
339
remove
cons
567
ref
148
ref
cons
cons
cons
nil
cons
cons
572
ref
41
ref
47
ref
239
ref
573
ref
varTerm
574
def
appTerm
575
def
appTerm
349
ref
20
ref
appTerm
576
def
572
ref
varTerm
577
def
appTerm
appTerm
appTerm
230
ref
399
ref
appTerm
578
def
183
ref
574
ref
appTerm
577
ref
appTerm
appTerm
appTerm
absTerm
579
def
577
ref
appTerm
580
def
betaConv
573
ref
7
ref
579
ref
appTerm
581
def
absTerm
582
def
574
ref
appTerm
583
def
betaConv
9
ref
7
ref
582
ref
appTerm
584
def
absTerm
585
def
20
ref
appTerm
586
def
betaConv
146
ref
7
ref
585
ref
appTerm
587
def
absTerm
588
def
150
ref
appTerm
589
def
betaConv
nil
7
ref
588
ref
appTerm
590
def
axiom
nil
36
ref
590
remove
nil
cons
cons
37
ref
589
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
588
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
587
remove
nil
cons
cons
37
ref
586
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
585
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
584
remove
nil
cons
cons
37
ref
583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
582
remove
nil
cons
cons
112
ref
574
ref
nil
cons
591
def
cons
nil
cons
592
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
581
remove
nil
cons
cons
37
ref
580
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
579
remove
nil
cons
cons
112
ref
577
ref
nil
cons
593
def
cons
nil
cons
594
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
330
remove
cons
86
ref
331
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
319
remove
appTerm
327
remove
appTerm
nil
cons
cons
37
ref
7
ref
9
ref
322
remove
absTerm
595
def
appTerm
596
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
595
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
595
ref
20
ref
appTerm
betaConv
597
def
appThm
595
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
597
remove
absThm
appThm
appThm
nil
415
ref
595
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
596
remove
thm
nil
146
ref
566
ref
cons
nil
cons
598
def
nil
cons
cons
599
def
180
ref
subst
nil
36
ref
13
ref
19
ref
172
ref
appTerm
600
def
23
ref
appTerm
appTerm
172
ref
appTerm
601
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
13
ref
600
ref
20
ref
appTerm
602
def
appTerm
172
ref
appTerm
603
def
appTerm
13
ref
600
ref
152
ref
appTerm
appTerm
172
ref
appTerm
604
def
appTerm
605
def
absTerm
606
def
appTerm
607
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
606
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
605
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
603
ref
nil
cons
608
def
cons
37
ref
604
remove
nil
cons
609
def
cons
nil
cons
cons
nil
cons
cons
610
def
58
ref
subst
610
remove
128
ref
subst
599
ref
167
ref
subst
nil
9
ref
602
remove
nil
cons
cons
nil
cons
nil
cons
cons
170
remove
146
ref
13
ref
154
ref
172
ref
appTerm
611
def
150
ref
appTerm
appTerm
150
ref
appTerm
absTerm
612
def
150
ref
appTerm
613
def
betaConv
nil
7
ref
612
ref
appTerm
614
def
axiom
615
def
nil
36
ref
614
remove
nil
cons
cons
37
ref
613
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
612
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
616
def
subst
603
ref
assume
trans
trans
eqMp
nil
84
ref
608
remove
cons
86
ref
609
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
601
remove
appTerm
607
remove
appTerm
nil
cons
cons
37
ref
7
ref
9
ref
603
remove
absTerm
617
def
appTerm
618
def
nil
cons
619
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
617
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
617
ref
20
ref
appTerm
620
def
betaConv
621
def
appThm
617
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
621
ref
absThm
appThm
appThm
nil
415
ref
617
remove
nil
cons
622
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
623
def
nil
618
remove
thm
8
ref
9
ref
14
ref
22
remove
563
ref
appThm
nil
9
ref
564
ref
nil
cons
cons
624
def
148
ref
cons
nil
cons
cons
167
ref
subst
169
ref
207
remove
appThm
trans
trans
appThm
168
ref
20
ref
appTerm
625
def
refl
appThm
nil
112
ref
625
ref
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
absThm
appThm
229
ref
trans
sym
77
ref
eqMp
nil
7
ref
9
ref
13
ref
21
ref
233
ref
appTerm
appTerm
625
remove
appTerm
absTerm
appTerm
thm
nil
111
ref
9
ref
464
ref
"Data.Bool.cond"
const
626
def
1
ref
3
ref
18
ref
nil
cons
627
def
cons
opType
constTerm
628
def
360
ref
appTerm
172
ref
appTerm
23
ref
appTerm
629
def
appTerm
630
def
absTerm
631
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
630
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
88
ref
"_3203"
2
ref
var
632
def
464
ref
632
remove
varTerm
appTerm
absTerm
633
def
629
remove
appTerm
betaConv
appThm
348
ref
41
ref
360
ref
appTerm
634
def
refl
633
ref
172
ref
appTerm
betaConv
appThm
appThm
41
ref
361
ref
appTerm
635
def
refl
633
ref
23
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
2
ref
var
24
ref
cons
"_482"
2
ref
var
566
ref
cons
"_483"
3
ref
var
636
def
360
ref
nil
cons
637
def
cons
nil
cons
cons
cons
nil
cons
cons
nil
"_484"
5
ref
var
633
remove
nil
cons
cons
nil
cons
nil
cons
cons
210
ref
nil
123
ref
"_482"
115
ref
var
varTerm
nil
cons
cons
"c"
3
ref
var
638
def
636
ref
varTerm
nil
cons
cons
130
ref
"_484"
116
ref
var
varTerm
nil
cons
cons
"y"
115
ref
var
639
def
"_485"
115
ref
var
varTerm
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
639
ref
40
ref
131
ref
626
ref
1
ref
3
ref
1
ref
115
ref
1
ref
115
ref
115
ref
nil
cons
640
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
641
def
638
ref
varTerm
642
def
appTerm
124
ref
appTerm
639
ref
varTerm
643
def
appTerm
appTerm
appTerm
47
ref
41
ref
642
ref
appTerm
131
ref
124
ref
appTerm
644
def
appTerm
appTerm
41
ref
255
ref
642
ref
appTerm
appTerm
131
ref
643
ref
appTerm
appTerm
appTerm
appTerm
absTerm
645
def
643
ref
appTerm
646
def
betaConv
123
ref
118
ref
645
ref
appTerm
647
def
absTerm
648
def
124
ref
appTerm
649
def
betaConv
638
remove
118
ref
648
ref
appTerm
650
def
absTerm
651
def
642
ref
appTerm
652
def
betaConv
130
ref
222
ref
651
ref
appTerm
653
def
absTerm
654
def
131
ref
appTerm
655
def
betaConv
nil
0
ref
134
remove
constTerm
656
def
654
ref
appTerm
657
def
axiom
nil
36
ref
657
remove
nil
cons
cons
37
ref
655
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
211
remove
cons
nil
cons
658
def
"P"
117
ref
var
659
def
654
remove
nil
cons
cons
"x"
116
ref
var
660
def
131
ref
nil
cons
cons
nil
cons
661
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
653
remove
nil
cons
cons
37
ref
652
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
651
remove
nil
cons
cons
226
ref
642
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
650
remove
nil
cons
cons
37
ref
649
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
640
remove
cons
662
def
nil
cons
663
def
119
ref
648
remove
nil
cons
cons
123
ref
124
ref
nil
cons
cons
nil
cons
664
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
647
remove
nil
cons
cons
37
ref
646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
645
remove
nil
cons
cons
123
ref
643
ref
nil
cons
cons
nil
cons
665
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
666
def
subst
subst
subst
eqMp
sym
nil
36
ref
637
ref
cons
667
def
37
ref
464
remove
172
ref
appTerm
668
def
nil
cons
669
def
cons
nil
cons
cons
nil
cons
cons
670
def
58
ref
subst
670
remove
128
ref
subst
252
remove
9
ref
40
ref
13
ref
19
ref
112
ref
varTerm
671
def
appTerm
672
def
20
ref
appTerm
673
def
appTerm
674
def
172
ref
appTerm
appTerm
240
ref
13
ref
671
ref
appTerm
675
def
172
ref
appTerm
676
def
appTerm
677
def
360
ref
appTerm
678
def
appTerm
679
def
absTerm
680
def
20
ref
appTerm
681
def
betaConv
682
def
88
ref
14
ref
nil
146
ref
671
ref
nil
cons
683
def
cons
684
def
nil
cons
685
def
nil
cons
cons
686
def
180
ref
subst
687
def
appThm
568
ref
208
ref
subst
688
def
appThm
nil
112
ref
566
ref
cons
nil
cons
nil
cons
cons
215
ref
subst
689
def
trans
appThm
677
ref
refl
690
def
253
ref
appThm
nil
71
ref
676
ref
nil
cons
691
def
cons
nil
cons
nil
cons
cons
692
def
71
ref
40
ref
240
ref
74
ref
appTerm
693
def
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
694
def
74
ref
appTerm
695
def
betaConv
nil
222
ref
694
ref
appTerm
696
def
axiom
nil
36
ref
696
remove
nil
cons
cons
37
ref
695
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
694
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
697
def
subst
trans
appThm
489
ref
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
13
ref
672
ref
23
ref
appTerm
698
def
appTerm
172
ref
appTerm
appTerm
677
ref
459
ref
appTerm
appTerm
699
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
679
ref
appTerm
40
ref
13
ref
672
ref
152
ref
appTerm
700
def
appTerm
172
ref
appTerm
appTerm
677
ref
432
ref
appTerm
appTerm
701
def
appTerm
702
def
absTerm
703
def
appTerm
704
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
703
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
702
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
679
ref
nil
cons
705
def
cons
37
ref
701
remove
nil
cons
706
def
cons
nil
cons
cons
nil
cons
cons
707
def
58
ref
subst
707
remove
128
ref
subst
88
ref
14
ref
686
ref
167
ref
subst
708
def
appThm
688
ref
appThm
nil
9
ref
673
ref
nil
cons
709
def
cons
710
def
685
ref
cons
711
def
nil
cons
cons
9
ref
40
ref
13
ref
185
ref
appTerm
712
def
172
ref
appTerm
appTerm
47
ref
241
ref
172
ref
appTerm
713
def
appTerm
359
ref
172
ref
appTerm
appTerm
appTerm
absTerm
714
def
20
ref
appTerm
715
def
betaConv
146
ref
7
ref
714
ref
appTerm
716
def
absTerm
717
def
150
ref
appTerm
718
def
betaConv
nil
7
ref
717
ref
appTerm
719
def
axiom
nil
36
ref
719
remove
nil
cons
cons
37
ref
718
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
717
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
716
remove
nil
cons
cons
37
ref
715
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
714
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
47
ref
676
ref
appTerm
720
def
refl
679
remove
assume
appThm
trans
trans
appThm
690
ref
437
ref
appThm
692
remove
71
ref
40
ref
693
ref
265
ref
appTerm
appTerm
74
ref
appTerm
absTerm
721
def
74
ref
appTerm
722
def
betaConv
nil
222
ref
721
ref
appTerm
723
def
axiom
nil
36
ref
723
remove
nil
cons
cons
37
ref
722
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
721
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
724
def
subst
725
def
trans
appThm
sym
nil
36
ref
40
ref
676
ref
appTerm
726
def
265
ref
appTerm
727
def
nil
cons
728
def
cons
37
ref
40
ref
720
remove
678
remove
appTerm
appTerm
676
ref
appTerm
nil
cons
729
def
cons
nil
cons
730
def
cons
nil
cons
cons
731
def
58
ref
subst
731
remove
128
ref
subst
40
ref
"_3201"
3
ref
var
732
def
40
ref
47
ref
732
remove
varTerm
733
def
appTerm
240
ref
733
ref
appTerm
360
ref
appTerm
appTerm
appTerm
733
remove
appTerm
absTerm
734
def
676
ref
appTerm
735
def
appTerm
refl
736
def
734
ref
265
ref
appTerm
betaConv
appThm
88
ref
735
remove
betaConv
appThm
737
def
40
ref
516
ref
240
ref
265
ref
appTerm
738
def
360
ref
appTerm
739
def
appTerm
appTerm
265
ref
appTerm
refl
appThm
trans
734
remove
refl
740
def
727
remove
assume
appThm
eqMp
sym
nil
71
ref
739
remove
nil
cons
cons
nil
cons
nil
cons
cons
520
ref
subst
eqMp
eqMp
nil
84
ref
728
ref
cons
86
ref
729
ref
cons
nil
cons
741
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
726
remove
63
ref
appTerm
742
def
nil
cons
743
def
cons
730
remove
cons
nil
cons
cons
744
def
58
ref
subst
744
remove
128
ref
subst
736
remove
"_3199"
3
ref
var
745
def
40
ref
47
ref
745
remove
varTerm
746
def
appTerm
240
ref
746
ref
appTerm
360
ref
appTerm
appTerm
appTerm
746
remove
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
737
remove
40
ref
443
ref
311
ref
360
ref
appTerm
747
def
appTerm
appTerm
63
ref
appTerm
refl
appThm
trans
740
remove
742
remove
assume
appThm
eqMp
sym
nil
71
ref
747
remove
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
nil
71
ref
637
ref
cons
nil
cons
nil
cons
cons
748
def
315
ref
subst
trans
eqMp
eqMp
nil
84
ref
743
remove
cons
749
def
741
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
71
ref
240
ref
76
ref
appTerm
75
remove
265
ref
appTerm
750
def
appTerm
absTerm
751
def
676
ref
appTerm
752
def
betaConv
nil
222
ref
751
ref
appTerm
753
def
axiom
754
def
nil
36
ref
753
remove
nil
cons
cons
755
def
37
ref
752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
751
ref
nil
cons
cons
756
def
226
ref
691
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
749
remove
86
ref
728
remove
cons
"R"
3
ref
var
757
def
729
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
36
ref
41
ref
91
ref
appTerm
758
def
757
ref
varTerm
759
def
appTerm
760
def
nil
cons
cons
37
ref
759
ref
nil
cons
761
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
36
ref
297
ref
759
ref
appTerm
nil
cons
cons
37
ref
41
ref
760
remove
appTerm
759
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
"r"
3
ref
var
762
def
41
ref
297
ref
762
ref
varTerm
763
def
appTerm
appTerm
764
def
41
ref
758
ref
763
ref
appTerm
appTerm
763
ref
appTerm
appTerm
absTerm
765
def
759
remove
appTerm
766
def
betaConv
40
ref
240
ref
89
ref
appTerm
767
def
91
ref
appTerm
768
def
appTerm
refl
37
ref
222
ref
762
ref
764
remove
41
ref
285
ref
763
ref
appTerm
769
def
appTerm
763
ref
appTerm
770
def
appTerm
absTerm
appTerm
absTerm
91
ref
appTerm
betaConv
appThm
67
remove
767
remove
appTerm
refl
36
ref
37
ref
222
ref
762
ref
41
ref
43
ref
763
ref
appTerm
appTerm
770
remove
appTerm
absTerm
appTerm
absTerm
absTerm
771
def
89
remove
appTerm
betaConv
appThm
nil
55
remove
240
ref
appTerm
771
remove
appTerm
axiom
98
remove
appThm
eqMp
94
remove
appThm
eqMp
772
def
768
remove
assume
eqMp
nil
36
ref
222
ref
765
ref
appTerm
nil
cons
cons
37
ref
766
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
765
remove
nil
cons
cons
226
ref
761
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
773
def
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
84
ref
705
remove
cons
86
ref
706
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
699
remove
appTerm
704
remove
appTerm
nil
cons
cons
37
ref
7
ref
680
ref
appTerm
774
def
nil
cons
775
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
680
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
682
ref
appThm
680
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
682
remove
absThm
appThm
appThm
nil
415
ref
680
remove
nil
cons
776
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
777
def
nil
36
ref
775
ref
cons
37
ref
681
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
776
remove
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
240
ref
458
ref
172
ref
appTerm
778
def
appTerm
779
def
refl
14
ref
360
ref
assume
780
def
appThm
431
ref
appThm
253
ref
trans
appThm
nil
71
ref
778
ref
nil
cons
cons
nil
cons
nil
cons
cons
697
ref
subst
trans
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
637
ref
cons
781
def
86
ref
669
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
634
ref
668
remove
appTerm
nil
cons
cons
37
ref
635
ref
465
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
36
ref
548
ref
cons
782
def
37
ref
465
remove
nil
cons
783
def
cons
nil
cons
cons
nil
cons
cons
784
def
58
ref
subst
784
remove
128
ref
subst
254
remove
560
ref
subst
439
remove
365
ref
nil
782
ref
37
ref
40
ref
360
ref
appTerm
785
def
265
ref
appTerm
786
def
nil
cons
787
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
781
ref
nil
cons
nil
cons
cons
307
ref
subst
eqMp
appThm
454
ref
trans
appThm
483
ref
trans
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
548
ref
cons
788
def
86
ref
783
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
7
ref
631
remove
appTerm
thm
nil
111
ref
146
ref
7
ref
9
ref
40
ref
"Number.Natural.odd"
const
5
ref
constTerm
789
def
156
ref
appTerm
appTerm
240
ref
789
ref
150
ref
appTerm
790
def
appTerm
791
def
360
ref
appTerm
792
def
appTerm
793
def
absTerm
794
def
appTerm
795
def
absTerm
796
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
795
remove
nil
cons
797
def
cons
nil
cons
nil
cons
cons
78
ref
subst
88
ref
789
ref
refl
798
def
180
ref
145
ref
trans
799
def
appThm
27
ref
9
ref
40
ref
789
ref
152
ref
appTerm
800
def
appTerm
255
ref
789
ref
20
ref
appTerm
801
def
appTerm
802
def
appTerm
absTerm
803
def
20
ref
appTerm
804
def
betaConv
nil
7
ref
803
ref
appTerm
805
def
axiom
806
def
nil
36
ref
805
ref
nil
cons
807
def
cons
37
ref
804
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
803
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
365
ref
nil
255
ref
789
ref
23
ref
appTerm
808
def
appTerm
809
def
axiom
810
def
nil
36
ref
809
ref
nil
cons
811
def
cons
812
def
37
ref
40
ref
808
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
84
ref
808
ref
nil
cons
813
def
cons
nil
cons
nil
cons
cons
307
ref
subst
eqMp
appThm
454
ref
trans
trans
trans
appThm
791
ref
refl
814
def
253
ref
appThm
nil
71
ref
790
ref
nil
cons
815
def
cons
nil
cons
nil
cons
cons
816
def
697
ref
subst
trans
appThm
489
ref
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
789
ref
171
ref
appTerm
appTerm
791
ref
459
ref
appTerm
appTerm
817
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
793
ref
appTerm
40
ref
789
ref
153
ref
appTerm
appTerm
791
remove
432
ref
appTerm
appTerm
818
def
appTerm
819
def
absTerm
820
def
appTerm
821
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
820
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
819
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
793
ref
nil
cons
822
def
cons
37
ref
818
remove
nil
cons
823
def
cons
nil
cons
cons
nil
cons
cons
824
def
58
ref
subst
824
remove
128
ref
subst
88
ref
798
ref
167
ref
appThm
nil
9
ref
156
ref
nil
cons
825
def
cons
nil
cons
nil
cons
cons
826
def
9
ref
40
ref
789
ref
185
ref
appTerm
appTerm
47
ref
790
ref
appTerm
827
def
801
ref
appTerm
appTerm
absTerm
828
def
20
ref
appTerm
829
def
betaConv
146
ref
7
ref
828
ref
appTerm
830
def
absTerm
831
def
150
ref
appTerm
832
def
betaConv
nil
7
ref
831
ref
appTerm
833
def
axiom
nil
36
ref
833
remove
nil
cons
cons
37
ref
832
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
831
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
830
remove
nil
cons
cons
37
ref
829
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
828
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
827
ref
refl
834
def
793
remove
assume
appThm
trans
trans
appThm
814
remove
437
ref
appThm
816
remove
724
ref
subst
trans
appThm
sym
nil
36
ref
827
ref
792
ref
appTerm
835
def
nil
cons
836
def
cons
37
ref
815
ref
cons
nil
cons
cons
nil
cons
cons
837
def
294
ref
subst
837
ref
58
ref
subst
837
remove
128
ref
subst
nil
84
ref
815
ref
cons
838
def
86
ref
792
remove
nil
cons
839
def
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
eqMp
nil
84
ref
836
ref
cons
86
ref
815
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
41
ref
835
ref
appTerm
790
ref
appTerm
nil
cons
cons
37
ref
41
ref
790
ref
appTerm
835
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
36
ref
815
remove
cons
840
def
37
ref
836
ref
cons
nil
cons
cons
nil
cons
cons
841
def
58
ref
subst
841
remove
128
ref
subst
nil
840
ref
37
ref
839
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
nil
838
ref
86
ref
637
ref
cons
842
def
nil
cons
843
def
cons
nil
cons
cons
772
remove
sym
844
def
nil
225
ref
71
ref
41
ref
297
remove
74
ref
appTerm
845
def
appTerm
41
ref
758
remove
74
ref
appTerm
846
def
appTerm
74
ref
appTerm
847
def
appTerm
848
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
224
ref
209
ref
cons
849
def
328
ref
subst
850
def
subst
851
def
71
ref
nil
71
ref
848
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
852
def
nil
36
ref
845
ref
nil
cons
853
def
cons
37
ref
847
remove
nil
cons
854
def
cons
nil
cons
cons
nil
cons
cons
855
def
58
ref
subst
856
def
855
remove
128
ref
subst
857
def
nil
36
ref
846
ref
nil
cons
858
def
cons
37
ref
227
ref
cons
nil
cons
859
def
cons
nil
cons
cons
860
def
58
ref
subst
861
def
860
remove
128
ref
subst
862
def
nil
271
remove
859
ref
cons
nil
cons
cons
109
ref
subst
845
remove
assume
eqMp
eqMp
nil
84
ref
858
remove
cons
86
ref
227
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
863
def
deductAntisym
eqMp
eqMp
nil
84
ref
853
remove
cons
86
ref
854
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
864
def
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
865
def
subst
eqMp
eqMp
nil
838
ref
86
ref
836
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
822
remove
cons
86
ref
823
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
817
remove
appTerm
821
remove
appTerm
nil
cons
cons
37
ref
797
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
794
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
794
ref
20
ref
appTerm
betaConv
866
def
appThm
794
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
866
remove
absThm
appThm
appThm
nil
415
ref
794
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
7
ref
796
remove
appTerm
thm
nil
111
ref
"k"
2
ref
var
867
def
7
ref
9
ref
41
ref
230
ref
172
ref
appTerm
868
def
867
ref
varTerm
869
def
appTerm
870
def
appTerm
"Data.Bool.?"
const
871
def
6
remove
constTerm
872
def
146
ref
576
ref
19
ref
869
ref
appTerm
873
def
150
ref
appTerm
874
def
appTerm
absTerm
appTerm
875
def
appTerm
876
def
absTerm
877
def
appTerm
878
def
absTerm
879
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
867
ref
nil
71
ref
878
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
877
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
876
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
870
ref
nil
cons
880
def
cons
881
def
37
ref
875
ref
nil
cons
882
def
cons
nil
cons
883
def
cons
nil
cons
cons
884
def
58
ref
subst
884
remove
128
ref
subst
nil
36
ref
255
ref
13
ref
869
ref
appTerm
23
ref
appTerm
885
def
appTerm
886
def
nil
cons
887
def
cons
888
def
883
ref
cons
nil
cons
cons
889
def
58
ref
subst
889
remove
128
ref
subst
146
ref
240
ref
367
ref
appTerm
890
def
872
ref
9
ref
241
ref
152
ref
appTerm
absTerm
appTerm
appTerm
absTerm
891
def
20
ref
appTerm
892
def
betaConv
nil
7
ref
891
ref
appTerm
893
def
axiom
nil
36
ref
893
remove
nil
cons
cons
37
ref
892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
891
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
240
ref
360
ref
appTerm
894
def
872
ref
"n'"
2
ref
var
895
def
359
ref
29
ref
895
ref
varTerm
896
def
appTerm
897
def
appTerm
898
def
absTerm
899
def
appTerm
900
def
appTerm
nil
cons
901
def
cons
883
ref
cons
nil
cons
cons
902
def
109
ref
subst
proveHyp
902
ref
58
ref
subst
902
remove
128
ref
subst
nil
111
ref
895
ref
41
ref
899
ref
896
ref
appTerm
903
def
appTerm
875
ref
appTerm
904
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
895
ref
nil
71
ref
904
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
903
ref
nil
cons
905
def
cons
883
ref
cons
nil
cons
cons
906
def
58
ref
subst
906
remove
128
ref
subst
903
ref
betaConv
903
remove
assume
eqMp
nil
36
ref
898
ref
nil
cons
907
def
cons
883
ref
cons
nil
cons
cons
908
def
109
ref
subst
proveHyp
908
ref
58
ref
subst
908
remove
128
ref
subst
40
ref
"_3515"
2
ref
var
909
def
872
ref
146
ref
349
ref
909
remove
varTerm
appTerm
874
ref
appTerm
absTerm
appTerm
absTerm
910
def
20
ref
appTerm
911
def
appTerm
refl
910
ref
897
ref
appTerm
betaConv
appThm
88
ref
911
remove
betaConv
appThm
872
ref
146
ref
349
ref
897
remove
appTerm
874
ref
appTerm
absTerm
appTerm
refl
appThm
trans
910
remove
refl
898
remove
assume
appThm
eqMp
sym
872
ref
refl
912
def
146
ref
nil
9
ref
874
ref
nil
cons
913
def
cons
914
def
146
ref
896
ref
nil
cons
915
def
cons
nil
cons
cons
nil
cons
cons
357
ref
subst
absThm
appThm
sym
9
ref
872
ref
146
ref
320
ref
874
ref
appTerm
absTerm
916
def
appTerm
917
def
absTerm
918
def
896
ref
appTerm
919
def
betaConv
"k'"
2
ref
var
920
def
47
ref
868
ref
920
ref
varTerm
921
def
appTerm
appTerm
922
def
47
ref
872
ref
146
ref
231
ref
874
ref
appTerm
absTerm
appTerm
appTerm
7
ref
9
ref
41
ref
47
ref
361
ref
appTerm
923
def
872
ref
146
ref
230
ref
"Number.Natural.div"
const
18
ref
constTerm
924
def
20
ref
appTerm
925
def
921
remove
appTerm
926
def
appTerm
874
ref
appTerm
absTerm
appTerm
appTerm
appTerm
917
ref
appTerm
absTerm
appTerm
appTerm
appTerm
absTerm
927
def
869
ref
appTerm
betaConv
sym
348
ref
nil
71
ref
880
ref
cons
nil
cons
nil
cons
cons
928
def
78
ref
subst
870
ref
assume
eqMp
appThm
348
ref
912
ref
146
ref
nil
511
ref
112
ref
869
ref
nil
cons
929
def
cons
nil
cons
930
def
cons
nil
cons
cons
nil
146
ref
709
ref
cons
931
def
26
remove
cons
nil
cons
cons
9
ref
40
ref
320
ref
150
ref
appTerm
932
def
appTerm
255
ref
349
ref
150
ref
appTerm
933
def
20
ref
appTerm
934
def
appTerm
935
def
appTerm
936
def
absTerm
937
def
20
ref
appTerm
938
def
betaConv
146
ref
7
ref
937
ref
appTerm
939
def
absTerm
940
def
150
ref
appTerm
941
def
betaConv
8
ref
146
ref
8
ref
9
ref
936
remove
assume
sym
40
ref
935
ref
appTerm
932
ref
appTerm
942
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
7
ref
146
ref
7
ref
9
ref
942
remove
absTerm
943
def
appTerm
944
def
absTerm
945
def
appTerm
946
def
axiom
947
def
eqMp
nil
36
ref
7
ref
940
ref
appTerm
nil
cons
cons
37
ref
941
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
940
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
939
remove
nil
cons
cons
37
ref
938
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
937
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
948
def
subst
365
ref
nil
931
ref
nil
cons
949
def
nil
cons
cons
146
ref
40
ref
933
ref
23
ref
appTerm
950
def
appTerm
951
def
367
ref
appTerm
absTerm
952
def
150
ref
appTerm
953
def
betaConv
nil
7
ref
952
ref
appTerm
954
def
axiom
nil
36
ref
954
remove
nil
cons
cons
37
ref
953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
952
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
686
ref
560
ref
subst
trans
appThm
nil
"t2"
3
ref
var
955
def
548
ref
cons
"t1"
3
ref
var
956
def
675
ref
23
ref
appTerm
957
def
nil
cons
958
def
cons
nil
cons
959
def
cons
nil
cons
cons
955
ref
40
ref
255
ref
47
ref
956
ref
varTerm
960
def
appTerm
955
ref
varTerm
961
def
appTerm
appTerm
appTerm
240
ref
255
ref
960
ref
appTerm
962
def
appTerm
255
ref
961
ref
appTerm
963
def
appTerm
appTerm
absTerm
964
def
961
ref
appTerm
965
def
betaConv
956
ref
222
ref
964
ref
appTerm
966
def
absTerm
967
def
960
ref
appTerm
968
def
betaConv
nil
222
ref
967
ref
appTerm
969
def
axiom
nil
36
ref
969
remove
nil
cons
cons
37
ref
968
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
967
remove
nil
cons
cons
226
ref
960
ref
nil
cons
cons
nil
cons
970
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
966
remove
nil
cons
cons
37
ref
965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
964
remove
nil
cons
cons
226
ref
961
ref
nil
cons
cons
nil
cons
971
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
972
def
subst
240
ref
255
ref
957
ref
appTerm
973
def
appTerm
974
def
refl
975
def
748
remove
71
ref
40
ref
255
ref
448
ref
appTerm
appTerm
74
ref
appTerm
absTerm
976
def
74
ref
appTerm
977
def
betaConv
nil
222
ref
976
ref
appTerm
978
def
axiom
nil
36
ref
978
remove
nil
cons
cons
37
ref
977
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
976
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
979
def
subst
980
def
appThm
trans
trans
trans
981
def
subst
251
ref
365
ref
nil
888
remove
37
ref
40
ref
885
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
885
ref
nil
cons
982
def
cons
983
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
984
def
appThm
454
ref
trans
985
def
appThm
367
ref
refl
986
def
appThm
nil
71
ref
367
ref
nil
cons
987
def
cons
nil
cons
nil
cons
cons
988
def
315
ref
subst
989
def
trans
trans
absThm
appThm
218
ref
210
ref
71
ref
40
ref
871
ref
117
remove
constTerm
990
def
219
remove
appTerm
appTerm
74
ref
appTerm
absTerm
991
def
74
ref
appTerm
992
def
betaConv
nil
222
ref
991
ref
appTerm
993
def
axiom
nil
36
ref
993
remove
nil
cons
cons
37
ref
992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
991
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
994
def
subst
995
def
trans
appThm
7
ref
9
ref
41
ref
923
ref
872
ref
146
ref
230
ref
925
ref
869
ref
appTerm
996
def
appTerm
874
ref
appTerm
997
def
absTerm
998
def
appTerm
999
def
appTerm
1000
def
appTerm
917
ref
appTerm
1001
def
absTerm
1002
def
appTerm
1003
def
refl
appThm
nil
71
ref
1003
remove
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
1004
def
trans
appThm
1004
remove
trans
sym
nil
111
ref
1002
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1001
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1000
remove
nil
cons
1005
def
cons
37
ref
917
ref
nil
cons
1006
def
cons
nil
cons
1007
def
cons
nil
cons
cons
1008
def
58
ref
subst
1008
remove
128
ref
subst
nil
788
ref
86
ref
999
ref
nil
cons
1009
def
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
nil
36
ref
1009
remove
cons
1007
ref
cons
nil
cons
cons
109
ref
subst
nil
111
ref
146
ref
41
ref
998
ref
150
ref
appTerm
1010
def
appTerm
917
ref
appTerm
1011
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1011
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1010
ref
nil
cons
1012
def
cons
1007
ref
cons
nil
cons
cons
1013
def
58
ref
subst
1013
remove
128
ref
subst
1010
ref
betaConv
1010
remove
assume
eqMp
nil
36
ref
997
remove
nil
cons
1014
def
cons
1015
def
1007
remove
cons
nil
cons
cons
1016
def
109
ref
subst
proveHyp
1016
ref
58
ref
subst
1016
remove
128
ref
subst
916
ref
334
ref
appTerm
betaConv
sym
895
ref
41
ref
255
ref
13
ref
896
ref
appTerm
23
ref
appTerm
appTerm
appTerm
47
ref
359
ref
183
ref
154
ref
925
remove
896
ref
appTerm
appTerm
896
ref
appTerm
appTerm
"Number.Natural.mod"
const
18
ref
constTerm
1017
def
20
ref
appTerm
1018
def
896
ref
appTerm
1019
def
appTerm
appTerm
appTerm
230
ref
1019
remove
appTerm
896
ref
appTerm
appTerm
appTerm
absTerm
1020
def
869
ref
appTerm
1021
def
betaConv
146
ref
7
ref
9
ref
635
ref
47
ref
241
ref
183
ref
154
ref
924
ref
150
ref
appTerm
20
ref
appTerm
1022
def
appTerm
20
ref
appTerm
appTerm
1017
ref
150
ref
appTerm
1023
def
20
ref
appTerm
1024
def
appTerm
1025
def
appTerm
1026
def
appTerm
230
ref
1024
ref
appTerm
20
ref
appTerm
1027
def
appTerm
1028
def
appTerm
absTerm
1029
def
appTerm
1030
def
absTerm
1031
def
20
ref
appTerm
1032
def
betaConv
nil
36
ref
7
ref
1031
ref
appTerm
1033
def
nil
cons
cons
1034
def
nil
cons
nil
cons
cons
275
ref
refl
1035
def
nil
71
ref
255
ref
42
ref
appTerm
1036
def
nil
cons
1037
def
cons
nil
cons
nil
cons
cons
71
ref
40
ref
41
ref
74
ref
appTerm
1038
def
265
ref
appTerm
appTerm
448
ref
appTerm
absTerm
1039
def
74
ref
appTerm
1040
def
betaConv
nil
222
ref
1039
ref
appTerm
1041
def
axiom
nil
36
ref
1041
remove
nil
cons
cons
37
ref
1040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1039
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1042
def
subst
appThm
sym
1035
remove
73
ref
979
ref
subst
1043
def
appThm
nil
226
ref
72
ref
cons
nil
cons
1044
def
nil
cons
cons
849
ref
214
ref
subst
1045
def
subst
trans
sym
77
ref
eqMp
eqMp
1046
def
subst
sym
nil
36
ref
255
ref
1033
remove
appTerm
1047
def
nil
cons
1048
def
cons
1049
def
273
ref
cons
nil
cons
cons
1050
def
58
ref
subst
1050
remove
128
ref
subst
nil
7
ref
146
ref
7
ref
9
ref
635
ref
13
ref
1025
ref
appTerm
1051
def
150
ref
appTerm
1052
def
appTerm
absTerm
appTerm
absTerm
appTerm
1053
def
axiom
nil
36
ref
1053
ref
nil
cons
1054
def
cons
273
ref
cons
nil
cons
cons
1055
def
109
ref
subst
proveHyp
nil
7
ref
146
ref
7
ref
9
ref
635
ref
1027
ref
appTerm
absTerm
appTerm
absTerm
appTerm
1056
def
axiom
nil
36
ref
1056
ref
nil
cons
1057
def
cons
1058
def
37
ref
41
ref
1053
ref
appTerm
265
ref
appTerm
1059
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1049
ref
37
ref
41
ref
1056
ref
appTerm
1060
def
1059
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
41
ref
1047
ref
appTerm
refl
1060
ref
refl
nil
71
ref
1054
ref
cons
nil
cons
nil
cons
cons
1042
ref
subst
1061
def
appThm
appThm
sym
nil
1049
remove
37
ref
1060
remove
255
ref
1053
ref
appTerm
1062
def
appTerm
nil
cons
1063
def
cons
nil
cons
cons
nil
cons
cons
1064
def
58
ref
subst
1064
remove
128
ref
subst
nil
1058
remove
37
ref
1062
remove
nil
cons
1065
def
cons
nil
cons
cons
nil
cons
cons
1066
def
58
ref
subst
1066
remove
128
ref
subst
1061
remove
1055
ref
58
ref
subst
1055
remove
128
ref
subst
nil
111
ref
1031
ref
nil
cons
cons
1067
def
nil
cons
nil
cons
cons
210
ref
88
ref
365
ref
118
ref
refl
nil
"t"
116
ref
var
120
ref
nil
cons
1068
def
cons
nil
cons
nil
cons
cons
662
remove
"B"
4
ref
cons
nil
cons
cons
209
ref
cons
"t"
1
ref
115
ref
"B"
varType
1069
def
nil
cons
cons
opType
1070
def
var
1071
def
10
remove
1
ref
1070
ref
1
ref
1070
ref
4
ref
cons
opType
1072
def
nil
cons
cons
opType
constTerm
1073
def
1071
ref
varTerm
1074
def
appTerm
123
ref
1074
ref
124
ref
appTerm
absTerm
1075
def
appTerm
1076
def
absTerm
1077
def
1074
ref
appTerm
1078
def
betaConv
0
ref
1
ref
1072
ref
4
ref
cons
opType
1079
def
constTerm
1080
def
refl
1071
ref
1076
remove
assume
sym
1073
remove
1075
remove
appTerm
1074
ref
appTerm
1081
def
assume
sym
deductAntisym
absThm
appThm
nil
1080
ref
1071
remove
1081
remove
absTerm
appTerm
axiom
eqMp
nil
36
ref
1080
remove
1077
ref
appTerm
nil
cons
cons
37
ref
1078
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
1070
ref
nil
cons
cons
nil
cons
"P"
1072
remove
var
1077
remove
nil
cons
cons
"x"
1070
ref
var
1074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
1082
def
appThm
appThm
appThm
990
ref
123
ref
255
ref
125
ref
appTerm
absTerm
1083
def
appTerm
refl
appThm
sym
nil
130
ref
1068
remove
cons
nil
cons
nil
cons
cons
1084
def
130
ref
40
ref
255
ref
118
ref
123
ref
644
ref
absTerm
1085
def
appTerm
1086
def
appTerm
appTerm
990
ref
123
ref
255
ref
644
ref
appTerm
absTerm
1087
def
appTerm
appTerm
absTerm
1088
def
131
ref
appTerm
1089
def
betaConv
nil
656
ref
1088
ref
appTerm
1090
def
axiom
nil
36
ref
1090
remove
nil
cons
cons
37
ref
1089
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
1088
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
subst
1091
def
subst
912
ref
146
ref
365
ref
1031
remove
150
ref
appTerm
1092
def
betaConv
1093
def
appThm
nil
111
ref
1029
ref
nil
cons
cons
1094
def
nil
cons
nil
cons
cons
1091
remove
subst
912
ref
9
ref
365
ref
1029
remove
20
ref
appTerm
1095
def
betaConv
1096
def
appThm
nil
782
ref
37
ref
1028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1097
def
nil
36
ref
275
ref
265
ref
appTerm
1098
def
nil
cons
1099
def
cons
1100
def
37
ref
40
ref
255
ref
45
ref
appTerm
appTerm
48
ref
255
ref
44
ref
appTerm
1101
def
appTerm
1102
def
appTerm
nil
cons
1103
def
cons
nil
cons
1104
def
cons
nil
cons
cons
1105
def
58
ref
subst
1105
remove
128
ref
subst
40
ref
"_542"
3
ref
var
1106
def
40
ref
255
ref
41
ref
1106
remove
varTerm
1107
def
appTerm
44
ref
appTerm
appTerm
appTerm
47
ref
1107
remove
appTerm
1101
ref
appTerm
appTerm
absTerm
1108
def
42
ref
appTerm
1109
def
appTerm
refl
1110
def
1108
ref
265
ref
appTerm
betaConv
appThm
88
ref
1109
remove
betaConv
appThm
1111
def
40
ref
255
ref
298
ref
44
ref
appTerm
1112
def
appTerm
appTerm
516
ref
1101
ref
appTerm
1113
def
appTerm
refl
appThm
trans
1108
remove
refl
1114
def
1098
remove
assume
1115
def
appThm
eqMp
sym
88
ref
365
ref
81
ref
71
ref
40
ref
298
ref
74
ref
appTerm
appTerm
63
ref
appTerm
absTerm
1116
def
74
ref
appTerm
1117
def
betaConv
nil
222
ref
1116
ref
appTerm
1118
def
axiom
nil
36
ref
1118
remove
nil
cons
cons
37
ref
1117
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1116
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1119
def
subst
1120
def
appThm
441
ref
trans
appThm
nil
71
ref
1101
ref
nil
cons
1121
def
cons
nil
cons
nil
cons
cons
1122
def
520
ref
subst
1123
def
appThm
455
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1099
ref
cons
1124
def
86
ref
1103
ref
cons
nil
cons
1125
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
275
ref
63
ref
appTerm
1126
def
nil
cons
1127
def
cons
1128
def
1104
remove
cons
nil
cons
cons
1129
def
58
ref
subst
1129
remove
128
ref
subst
1110
remove
"_540"
3
ref
var
1130
def
40
ref
255
ref
41
ref
1130
remove
varTerm
1131
def
appTerm
44
ref
appTerm
appTerm
appTerm
47
ref
1131
remove
appTerm
1101
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1111
remove
40
ref
255
ref
41
ref
63
ref
appTerm
1132
def
44
ref
appTerm
1133
def
appTerm
appTerm
443
ref
1101
ref
appTerm
1134
def
appTerm
refl
appThm
trans
1114
remove
1126
remove
assume
1135
def
appThm
eqMp
sym
88
ref
365
ref
81
ref
71
ref
40
ref
1132
ref
74
ref
appTerm
appTerm
74
ref
appTerm
absTerm
1136
def
74
ref
appTerm
1137
def
betaConv
nil
222
ref
1136
ref
appTerm
1138
def
axiom
nil
36
ref
1138
remove
nil
cons
cons
37
ref
1137
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1136
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1139
def
subst
1140
def
appThm
appThm
1122
ref
447
ref
subst
1141
def
appThm
nil
226
ref
1121
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
1142
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1127
remove
cons
1143
def
1125
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
42
ref
appTerm
1144
def
betaConv
754
ref
nil
755
ref
37
ref
1144
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
1044
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1145
def
nil
1143
ref
86
ref
1099
remove
cons
1146
def
757
ref
1103
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
348
ref
547
ref
appThm
1147
def
nil
36
ref
1026
ref
nil
cons
1148
def
cons
1149
def
37
ref
1027
ref
nil
cons
1150
def
cons
nil
cons
1151
def
cons
nil
cons
cons
nil
1100
ref
37
ref
40
ref
255
ref
49
remove
appTerm
appTerm
240
ref
1036
ref
appTerm
1152
def
1101
ref
appTerm
appTerm
nil
cons
1153
def
cons
nil
cons
1154
def
cons
nil
cons
cons
1155
def
58
ref
subst
1155
remove
128
ref
subst
40
ref
"_530"
3
ref
var
1156
def
40
ref
255
ref
47
ref
1156
remove
varTerm
1157
def
appTerm
44
ref
appTerm
appTerm
appTerm
240
ref
255
ref
1157
remove
appTerm
appTerm
1101
ref
appTerm
appTerm
absTerm
1158
def
42
ref
appTerm
1159
def
appTerm
refl
1160
def
1158
ref
265
ref
appTerm
betaConv
appThm
88
ref
1159
remove
betaConv
appThm
1161
def
40
ref
255
ref
516
ref
44
ref
appTerm
appTerm
appTerm
240
ref
453
ref
appTerm
1162
def
1101
ref
appTerm
appTerm
refl
appThm
trans
1158
remove
refl
1163
def
1115
ref
appThm
eqMp
sym
88
ref
365
ref
81
ref
520
ref
subst
1164
def
appThm
454
ref
trans
appThm
251
ref
454
ref
appThm
1165
def
1101
ref
refl
1166
def
appThm
1122
ref
315
ref
subst
1167
def
trans
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1124
ref
86
ref
1153
ref
cons
nil
cons
1168
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1128
ref
1154
remove
cons
nil
cons
cons
1169
def
58
ref
subst
1169
remove
128
ref
subst
1160
remove
"_528"
3
ref
var
1170
def
40
ref
255
ref
47
ref
1170
remove
varTerm
1171
def
appTerm
44
ref
appTerm
appTerm
appTerm
240
ref
255
ref
1171
remove
appTerm
appTerm
1101
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1161
remove
40
ref
255
ref
443
ref
44
ref
appTerm
appTerm
appTerm
240
ref
440
ref
appTerm
1172
def
1101
ref
appTerm
appTerm
refl
appThm
trans
1163
remove
1135
ref
appThm
eqMp
sym
88
ref
365
ref
81
ref
447
ref
subst
1173
def
appThm
appThm
251
ref
441
ref
appThm
1174
def
1166
ref
appThm
1122
ref
71
ref
40
ref
738
ref
74
ref
appTerm
appTerm
74
ref
appTerm
absTerm
1175
def
74
ref
appTerm
1176
def
betaConv
nil
222
ref
1175
ref
appTerm
1177
def
axiom
nil
36
ref
1177
remove
nil
cons
cons
37
ref
1176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1175
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1178
def
subst
1179
def
trans
appThm
1142
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1143
ref
1168
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1145
ref
nil
1143
ref
1146
ref
757
ref
1153
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
1180
def
subst
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
1047
remove
assume
eqMp
nil
36
ref
872
ref
146
ref
872
ref
9
ref
923
ref
240
ref
255
ref
1026
remove
appTerm
1181
def
appTerm
255
ref
1027
ref
appTerm
1182
def
appTerm
1183
def
appTerm
1184
def
absTerm
1185
def
appTerm
1186
def
absTerm
1187
def
appTerm
1188
def
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
146
ref
41
ref
1187
ref
150
ref
appTerm
1189
def
appTerm
265
ref
appTerm
1190
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1190
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1189
ref
nil
cons
1191
def
cons
273
ref
cons
nil
cons
cons
1192
def
58
ref
subst
1192
remove
128
ref
subst
1189
ref
betaConv
1189
remove
assume
eqMp
nil
36
ref
1186
ref
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
9
ref
41
ref
1185
ref
20
ref
appTerm
1193
def
appTerm
265
ref
appTerm
1194
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1194
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1193
ref
nil
cons
1195
def
cons
273
ref
cons
nil
cons
cons
1196
def
58
ref
subst
1196
remove
128
ref
subst
1193
ref
betaConv
1193
remove
assume
eqMp
nil
36
ref
1184
remove
nil
cons
1197
def
cons
273
ref
cons
nil
cons
cons
1198
def
109
ref
subst
proveHyp
1198
ref
58
ref
subst
1198
remove
128
ref
subst
nil
36
ref
1182
ref
nil
cons
1199
def
cons
273
ref
cons
nil
cons
cons
1200
def
58
ref
subst
1200
remove
128
ref
subst
nil
"_2379"
2
ref
var
1201
def
165
ref
cons
nil
cons
nil
cons
cons
nil
788
ref
86
ref
1183
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1202
def
100
ref
subst
1203
def
nil
782
ref
37
ref
230
ref
1017
ref
1201
remove
varTerm
1204
def
appTerm
1205
def
20
ref
appTerm
appTerm
20
ref
appTerm
1206
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_2380"
2
ref
var
1207
def
113
ref
cons
nil
cons
nil
cons
cons
nil
"b"
3
ref
var
1208
def
13
ref
1207
remove
varTerm
1209
def
appTerm
23
ref
appTerm
nil
cons
1210
def
cons
"a"
3
ref
var
1211
def
230
ref
1205
remove
1209
ref
appTerm
appTerm
1209
ref
appTerm
nil
cons
1212
def
cons
nil
cons
cons
nil
cons
cons
nil
36
ref
40
ref
1211
ref
varTerm
1213
def
appTerm
1214
def
265
ref
appTerm
1215
def
nil
cons
1216
def
cons
1217
def
37
ref
40
ref
240
ref
1213
ref
appTerm
1208
ref
varTerm
1218
def
appTerm
1219
def
appTerm
41
ref
255
ref
1218
ref
appTerm
1220
def
appTerm
1221
def
1213
ref
appTerm
appTerm
nil
cons
1222
def
cons
nil
cons
1223
def
cons
nil
cons
cons
1224
def
58
ref
subst
1224
remove
128
ref
subst
40
ref
"_606"
3
ref
var
1225
def
40
ref
240
ref
1225
remove
varTerm
1226
def
appTerm
1218
ref
appTerm
appTerm
1221
ref
1226
remove
appTerm
appTerm
absTerm
1227
def
1213
ref
appTerm
1228
def
appTerm
refl
1229
def
1227
ref
265
ref
appTerm
betaConv
appThm
88
ref
1228
remove
betaConv
appThm
1230
def
40
ref
738
ref
1218
ref
appTerm
1231
def
appTerm
1221
ref
265
ref
appTerm
appTerm
refl
appThm
trans
1227
remove
refl
1232
def
1215
remove
assume
1233
def
appThm
eqMp
sym
88
ref
nil
71
ref
1218
ref
nil
cons
1234
def
cons
nil
cons
nil
cons
cons
1235
def
1178
ref
subst
1236
def
appThm
nil
71
ref
1220
ref
nil
cons
1237
def
cons
nil
cons
nil
cons
cons
1238
def
1042
ref
subst
1239
def
1235
ref
979
ref
subst
1240
def
trans
appThm
nil
226
ref
1234
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
1241
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1216
ref
cons
1242
def
86
ref
1222
ref
cons
nil
cons
1243
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1214
ref
63
ref
appTerm
1244
def
nil
cons
1245
def
cons
1246
def
1223
remove
cons
nil
cons
cons
1247
def
58
ref
subst
1247
remove
128
ref
subst
1229
remove
"_604"
3
ref
var
1248
def
40
ref
240
ref
1248
remove
varTerm
1249
def
appTerm
1218
ref
appTerm
appTerm
1221
ref
1249
remove
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1230
remove
40
ref
311
ref
1218
ref
appTerm
1250
def
appTerm
1221
ref
63
ref
appTerm
appTerm
refl
appThm
trans
1232
remove
1244
remove
assume
1251
def
appThm
eqMp
sym
88
ref
1235
ref
315
ref
subst
1252
def
appThm
1238
ref
71
ref
40
ref
1038
ref
63
ref
appTerm
appTerm
63
ref
appTerm
absTerm
1253
def
74
ref
appTerm
1254
def
betaConv
nil
222
ref
1253
ref
appTerm
1255
def
axiom
nil
36
ref
1255
remove
nil
cons
cons
37
ref
1254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1253
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1256
def
subst
1257
def
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1245
remove
cons
1258
def
1243
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
1213
ref
appTerm
1259
def
betaConv
754
ref
nil
755
ref
37
ref
1259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
1213
ref
nil
cons
1260
def
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1261
def
nil
1258
ref
86
ref
1216
remove
cons
1262
def
757
ref
1222
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
1263
def
subst
nil
37
ref
1212
remove
cons
36
ref
1210
remove
cons
nil
cons
cons
nil
cons
cons
nil
955
ref
80
ref
cons
956
ref
72
ref
cons
nil
cons
cons
1264
def
nil
cons
cons
955
ref
40
ref
240
ref
960
ref
appTerm
1265
def
961
ref
appTerm
1266
def
appTerm
240
ref
961
ref
appTerm
1267
def
960
ref
appTerm
appTerm
absTerm
1268
def
961
ref
appTerm
1269
def
betaConv
956
ref
222
ref
1268
ref
appTerm
1270
def
absTerm
1271
def
960
ref
appTerm
1272
def
betaConv
nil
222
ref
1271
ref
appTerm
1273
def
axiom
nil
36
ref
1273
remove
nil
cons
cons
37
ref
1272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1271
remove
nil
cons
cons
970
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1270
remove
nil
cons
cons
37
ref
1269
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1268
remove
nil
cons
cons
971
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
1274
def
subst
9
ref
894
ref
1206
remove
appTerm
absTerm
1275
def
1209
ref
appTerm
1276
def
betaConv
146
ref
7
ref
9
ref
894
ref
1027
ref
appTerm
absTerm
appTerm
absTerm
1277
def
1204
ref
appTerm
1278
def
betaConv
8
ref
146
ref
8
ref
9
ref
nil
782
ref
1151
remove
cons
nil
cons
cons
nil
1100
ref
37
ref
46
ref
1152
remove
44
ref
appTerm
1279
def
appTerm
nil
cons
1280
def
cons
nil
cons
1281
def
cons
nil
cons
cons
1282
def
58
ref
subst
1282
remove
128
ref
subst
40
ref
"_538"
3
ref
var
1283
def
40
ref
41
ref
1283
remove
varTerm
1284
def
appTerm
44
ref
appTerm
appTerm
240
ref
255
ref
1284
remove
appTerm
appTerm
44
ref
appTerm
appTerm
absTerm
1285
def
42
ref
appTerm
1286
def
appTerm
refl
1287
def
1285
ref
265
ref
appTerm
betaConv
appThm
88
ref
1286
remove
betaConv
appThm
1288
def
40
ref
1112
remove
appTerm
1162
ref
44
ref
appTerm
1289
def
appTerm
refl
appThm
trans
1285
remove
refl
1290
def
1115
ref
appThm
eqMp
sym
88
ref
1120
remove
appThm
1165
ref
53
ref
appThm
81
ref
315
ref
subst
1291
def
trans
1292
def
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1124
ref
86
ref
1280
ref
cons
nil
cons
1293
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1128
ref
1281
remove
cons
nil
cons
cons
1294
def
58
ref
subst
1294
remove
128
ref
subst
1287
remove
"_536"
3
ref
var
1295
def
40
ref
41
ref
1295
remove
varTerm
1296
def
appTerm
44
ref
appTerm
appTerm
240
ref
255
ref
1296
remove
appTerm
appTerm
44
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1288
remove
40
ref
1133
remove
appTerm
1172
ref
44
ref
appTerm
1297
def
appTerm
refl
appThm
trans
1290
remove
1135
ref
appThm
eqMp
sym
88
ref
1140
remove
appThm
1174
ref
53
ref
appThm
81
ref
1178
ref
subst
1298
def
trans
1299
def
appThm
nil
226
ref
80
ref
cons
nil
cons
1300
def
nil
cons
cons
1045
ref
subst
1301
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1143
ref
1293
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1145
ref
nil
1143
ref
1146
ref
757
ref
1280
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
1302
def
subst
251
ref
980
ref
appThm
1303
def
1027
ref
refl
appThm
trans
absThm
appThm
absThm
appThm
1056
remove
assume
eqMp
nil
36
ref
7
ref
1277
ref
appTerm
nil
cons
cons
37
ref
1278
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1277
remove
nil
cons
cons
112
ref
1204
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
1275
ref
appTerm
nil
cons
cons
37
ref
1276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1275
remove
nil
cons
cons
112
ref
1209
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
36
ref
1150
ref
cons
1304
def
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1304
remove
nil
cons
nil
cons
cons
40
ref
1036
ref
appTerm
refl
73
remove
1042
ref
subst
appThm
nil
226
ref
1037
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
1305
def
subst
1182
remove
assume
eqMp
eqMp
eqMp
nil
84
ref
1199
ref
cons
86
ref
272
ref
cons
nil
cons
1306
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1181
ref
nil
cons
1307
def
cons
273
ref
cons
nil
cons
cons
1308
def
58
ref
subst
1308
remove
128
ref
subst
nil
"_2377"
2
ref
var
1309
def
165
ref
cons
nil
cons
nil
cons
cons
1203
remove
nil
782
ref
37
ref
13
ref
183
ref
154
ref
924
ref
1309
remove
varTerm
1310
def
appTerm
1311
def
20
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1017
ref
1310
ref
appTerm
1312
def
20
ref
appTerm
appTerm
appTerm
1310
ref
appTerm
1313
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_2378"
2
ref
var
1314
def
113
ref
cons
nil
cons
nil
cons
cons
nil
1208
ref
13
ref
1314
remove
varTerm
1315
def
appTerm
23
ref
appTerm
1316
def
nil
cons
1317
def
cons
1211
ref
13
ref
183
ref
154
ref
1311
remove
1315
ref
appTerm
appTerm
1315
ref
appTerm
appTerm
1312
remove
1315
ref
appTerm
appTerm
appTerm
1310
ref
appTerm
1318
def
nil
cons
1319
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
40
ref
240
ref
1316
remove
appTerm
1318
remove
appTerm
1320
def
appTerm
refl
nil
37
ref
1317
remove
cons
36
ref
1319
remove
cons
nil
cons
cons
nil
cons
cons
1274
ref
subst
appThm
nil
226
ref
1320
remove
nil
cons
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
9
ref
894
ref
1313
remove
appTerm
absTerm
1321
def
1315
ref
appTerm
1322
def
betaConv
146
ref
7
ref
9
ref
894
ref
1052
ref
appTerm
absTerm
appTerm
absTerm
1323
def
1310
ref
appTerm
1324
def
betaConv
8
ref
146
ref
8
ref
9
ref
nil
782
ref
37
ref
1052
ref
nil
cons
1325
def
cons
nil
cons
cons
nil
cons
cons
1302
ref
subst
1303
ref
1052
ref
refl
appThm
trans
absThm
appThm
absThm
appThm
1053
remove
assume
eqMp
nil
36
ref
7
ref
1323
ref
appTerm
nil
cons
cons
37
ref
1324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1323
remove
nil
cons
cons
112
ref
1310
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
1321
ref
appTerm
nil
cons
cons
37
ref
1322
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1321
remove
nil
cons
cons
112
ref
1315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
subst
nil
36
ref
1325
remove
cons
37
ref
1051
remove
1025
ref
appTerm
1326
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
112
ref
1025
remove
nil
cons
1327
def
cons
nil
cons
1328
def
nil
cons
cons
210
ref
138
remove
subst
1329
def
subst
eqMp
nil
36
ref
47
ref
1052
remove
appTerm
1326
remove
appTerm
nil
cons
cons
37
ref
1148
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"z"
2
ref
var
1330
def
1327
remove
cons
"y"
2
ref
var
1331
def
165
ref
cons
1328
remove
cons
cons
nil
cons
cons
nil
1208
ref
240
ref
255
ref
675
ref
1331
ref
varTerm
1332
def
appTerm
1333
def
appTerm
1334
def
appTerm
1335
def
255
ref
675
ref
1330
ref
varTerm
1336
def
appTerm
1337
def
appTerm
1338
def
appTerm
nil
cons
cons
1211
ref
13
ref
1332
ref
appTerm
1339
def
1336
remove
appTerm
1340
def
nil
cons
1341
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
274
ref
nil
1208
ref
1338
remove
nil
cons
1342
def
cons
1211
ref
1334
remove
nil
cons
1343
def
cons
nil
cons
cons
nil
cons
cons
nil
1217
ref
37
ref
40
ref
255
ref
1219
remove
appTerm
appTerm
47
ref
255
ref
1213
ref
appTerm
1344
def
appTerm
1220
ref
appTerm
appTerm
nil
cons
1345
def
cons
nil
cons
1346
def
cons
nil
cons
cons
1347
def
58
ref
subst
1347
remove
128
ref
subst
40
ref
"_610"
3
ref
var
1348
def
40
ref
255
ref
240
ref
1348
remove
varTerm
1349
def
appTerm
1218
ref
appTerm
appTerm
appTerm
47
ref
255
ref
1349
remove
appTerm
appTerm
1220
ref
appTerm
appTerm
absTerm
1350
def
1213
ref
appTerm
1351
def
appTerm
refl
1352
def
1350
ref
265
ref
appTerm
betaConv
appThm
88
ref
1351
remove
betaConv
appThm
1353
def
40
ref
255
ref
1231
remove
appTerm
appTerm
47
ref
453
ref
appTerm
1354
def
1220
ref
appTerm
appTerm
refl
appThm
trans
1350
remove
refl
1355
def
1233
ref
appThm
eqMp
sym
88
ref
365
ref
1236
ref
appThm
appThm
348
ref
454
ref
appThm
1356
def
1220
ref
refl
1357
def
appThm
1238
ref
447
ref
subst
trans
appThm
nil
226
ref
1237
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
1358
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1242
ref
86
ref
1345
ref
cons
nil
cons
1359
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1246
ref
1346
remove
cons
nil
cons
cons
1360
def
58
ref
subst
1360
remove
128
ref
subst
1352
remove
"_608"
3
ref
var
1361
def
40
ref
255
ref
240
ref
1361
remove
varTerm
1362
def
appTerm
1218
ref
appTerm
appTerm
appTerm
47
ref
255
ref
1362
remove
appTerm
appTerm
1220
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1353
remove
40
ref
255
ref
1250
remove
appTerm
appTerm
47
ref
440
ref
appTerm
1363
def
1220
ref
appTerm
appTerm
refl
appThm
trans
1355
remove
1251
ref
appThm
eqMp
sym
88
ref
365
ref
1252
ref
appThm
441
ref
trans
appThm
348
ref
441
ref
appThm
1364
def
1357
ref
appThm
1238
ref
520
ref
subst
trans
appThm
455
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1258
ref
1359
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1261
ref
nil
1258
ref
1262
ref
757
ref
1345
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
1365
def
subst
348
ref
nil
1211
ref
1333
ref
nil
cons
cons
nil
cons
nil
cons
cons
nil
71
ref
1260
remove
cons
nil
cons
nil
cons
cons
979
ref
subst
1366
def
subst
appThm
nil
1211
ref
1337
remove
nil
cons
cons
nil
cons
nil
cons
cons
1366
ref
subst
appThm
trans
appThm
1340
remove
refl
appThm
trans
1335
remove
refl
nil
37
ref
1341
remove
cons
1367
def
36
ref
1342
ref
cons
nil
cons
cons
nil
cons
cons
1274
ref
subst
appThm
nil
762
ref
1342
remove
cons
1367
remove
36
ref
1343
remove
cons
nil
cons
cons
cons
nil
cons
cons
88
ref
nil
"t3"
3
ref
var
1368
def
763
ref
nil
cons
1369
def
cons
1370
def
1264
remove
cons
nil
cons
cons
1368
ref
40
ref
1265
remove
1267
remove
1368
ref
varTerm
1371
def
appTerm
appTerm
1372
def
appTerm
240
ref
1266
ref
appTerm
1371
ref
appTerm
1373
def
appTerm
1374
def
absTerm
1375
def
1371
ref
appTerm
1376
def
betaConv
955
ref
222
ref
1375
ref
appTerm
1377
def
absTerm
1378
def
961
ref
appTerm
1379
def
betaConv
956
ref
222
ref
1378
ref
appTerm
1380
def
absTerm
1381
def
960
ref
appTerm
1382
def
betaConv
222
ref
refl
1383
def
956
ref
1383
ref
955
ref
1383
remove
1368
ref
1374
remove
assume
sym
40
ref
1373
remove
appTerm
1372
remove
appTerm
1384
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
222
ref
956
ref
222
ref
955
ref
222
ref
1368
ref
1384
remove
absTerm
1385
def
appTerm
1386
def
absTerm
1387
def
appTerm
1388
def
absTerm
1389
def
appTerm
1390
def
axiom
1391
def
eqMp
nil
36
ref
222
ref
1381
ref
appTerm
nil
cons
cons
37
ref
1382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1381
remove
nil
cons
cons
970
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1380
remove
nil
cons
cons
37
ref
1379
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1378
remove
nil
cons
cons
971
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1377
remove
nil
cons
cons
37
ref
1376
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1375
remove
nil
cons
cons
226
ref
1371
ref
nil
cons
cons
nil
cons
1392
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1393
def
subst
appThm
nil
1370
remove
955
ref
72
ref
cons
956
ref
80
remove
cons
nil
cons
cons
cons
nil
cons
cons
1393
remove
subst
appThm
sym
251
ref
1274
ref
appThm
763
ref
refl
appThm
eqMp
1394
def
subst
trans
210
ref
nil
36
ref
255
ref
213
ref
643
ref
appTerm
1395
def
appTerm
1396
def
nil
cons
1397
def
cons
1398
def
37
ref
240
ref
1396
remove
appTerm
240
ref
255
ref
213
remove
"z"
115
ref
var
1399
def
varTerm
1400
def
appTerm
1401
def
appTerm
appTerm
212
ref
643
ref
appTerm
1402
def
1400
ref
appTerm
1403
def
appTerm
1404
def
appTerm
nil
cons
1405
def
cons
nil
cons
1406
def
cons
nil
cons
cons
1407
def
58
ref
subst
1407
remove
128
ref
subst
251
ref
365
ref
nil
1398
remove
37
ref
40
ref
1395
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
1395
ref
nil
cons
1408
def
cons
1409
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
appThm
454
ref
trans
appThm
1404
ref
refl
appThm
nil
71
ref
1404
remove
nil
cons
cons
nil
cons
nil
cons
cons
315
ref
subst
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
1397
ref
cons
86
ref
1405
ref
cons
nil
cons
1410
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1408
ref
cons
1406
remove
cons
nil
cons
cons
1411
def
58
ref
subst
1411
remove
128
ref
subst
251
ref
365
ref
212
ref
refl
1412
def
1395
ref
assume
appThm
1413
def
643
ref
refl
appThm
nil
665
ref
nil
cons
cons
214
remove
subst
trans
appThm
441
ref
trans
appThm
251
ref
365
ref
1413
remove
1400
ref
refl
appThm
appThm
appThm
1403
ref
refl
appThm
appThm
nil
71
ref
240
ref
255
ref
1403
ref
appTerm
appTerm
1403
ref
appTerm
nil
cons
1414
def
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
sym
nil
36
ref
40
ref
1403
ref
appTerm
1415
def
265
ref
appTerm
1416
def
nil
cons
1417
def
cons
37
ref
1414
ref
cons
nil
cons
1418
def
cons
nil
cons
cons
1419
def
58
ref
subst
1419
remove
128
ref
subst
40
ref
"_626"
3
ref
var
1420
def
240
ref
255
ref
1420
remove
varTerm
1421
def
appTerm
appTerm
1421
remove
appTerm
absTerm
1422
def
1403
ref
appTerm
1423
def
appTerm
refl
1424
def
1422
ref
265
ref
appTerm
betaConv
appThm
88
ref
1423
remove
betaConv
appThm
1425
def
1162
ref
265
ref
appTerm
refl
appThm
trans
1422
remove
refl
1426
def
1416
remove
assume
appThm
eqMp
sym
nil
71
ref
453
ref
nil
cons
1427
def
cons
nil
cons
nil
cons
cons
724
ref
subst
454
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1417
ref
cons
86
ref
1414
ref
cons
nil
cons
1428
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1415
remove
63
ref
appTerm
1429
def
nil
cons
1430
def
cons
1418
remove
cons
nil
cons
cons
1431
def
58
ref
subst
1431
remove
128
ref
subst
1424
remove
"_624"
3
ref
var
1432
def
240
ref
255
ref
1432
remove
varTerm
1433
def
appTerm
appTerm
1433
remove
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
1425
remove
1172
ref
63
ref
appTerm
refl
appThm
trans
1426
remove
1429
remove
assume
appThm
eqMp
sym
nil
71
ref
440
ref
nil
cons
1434
def
cons
nil
cons
nil
cons
cons
697
ref
subst
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
1430
remove
cons
1435
def
1428
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
1403
ref
appTerm
1436
def
betaConv
754
ref
nil
755
ref
37
ref
1436
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
1403
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
1435
remove
86
ref
1417
remove
cons
757
ref
1414
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
1409
ref
1410
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
71
ref
693
remove
448
ref
appTerm
absTerm
1437
def
1395
ref
appTerm
1438
def
betaConv
nil
222
ref
1437
ref
appTerm
1439
def
axiom
1440
def
nil
36
ref
1439
remove
nil
cons
cons
1441
def
37
ref
1438
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1437
ref
nil
cons
cons
1442
def
226
ref
1408
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
1409
remove
86
ref
1397
remove
cons
757
ref
1405
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
1443
def
subst
eqMp
nil
1149
ref
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1149
remove
nil
cons
nil
cons
cons
1305
ref
subst
1181
remove
assume
eqMp
eqMp
eqMp
nil
84
ref
1307
remove
cons
1444
def
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1202
remove
293
ref
subst
nil
1444
remove
86
ref
1199
remove
cons
757
ref
272
ref
cons
nil
cons
1445
def
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
84
ref
1197
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
1195
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
1185
ref
671
ref
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
1186
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1185
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
nil
36
ref
118
ref
123
ref
41
ref
125
remove
appTerm
1446
def
91
ref
appTerm
absTerm
1447
def
appTerm
1448
def
nil
cons
1449
def
cons
1450
def
37
ref
41
ref
990
ref
120
ref
appTerm
1451
def
appTerm
1452
def
91
ref
appTerm
nil
cons
1453
def
cons
nil
cons
cons
nil
cons
cons
1454
def
58
ref
subst
1454
remove
128
ref
subst
nil
36
ref
1451
ref
nil
cons
1455
def
cons
1456
def
37
ref
91
ref
nil
cons
1457
def
cons
nil
cons
1458
def
cons
nil
cons
cons
1459
def
58
ref
subst
1459
remove
128
ref
subst
nil
1450
ref
1458
ref
cons
nil
cons
cons
1460
def
109
ref
subst
37
ref
41
ref
118
ref
123
ref
1446
remove
44
ref
appTerm
absTerm
appTerm
appTerm
44
ref
appTerm
absTerm
1461
def
91
ref
appTerm
1462
def
betaConv
nil
1456
remove
37
ref
222
ref
1461
ref
appTerm
1463
def
nil
cons
1464
def
cons
nil
cons
cons
nil
cons
cons
1465
def
109
ref
subst
40
ref
1451
remove
appTerm
1466
def
refl
130
ref
222
ref
37
ref
41
ref
118
ref
123
ref
41
ref
644
ref
appTerm
1467
def
44
ref
appTerm
absTerm
appTerm
appTerm
44
ref
appTerm
absTerm
appTerm
absTerm
1468
def
120
remove
appTerm
betaConv
appThm
nil
135
remove
990
ref
appTerm
1468
remove
appTerm
axiom
136
remove
appThm
eqMp
1469
def
nil
36
ref
1466
remove
1463
ref
appTerm
nil
cons
cons
37
ref
1452
remove
1463
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
1465
remove
nil
36
ref
276
ref
nil
cons
1470
def
cons
1471
def
37
ref
283
ref
cons
nil
cons
1472
def
cons
nil
cons
cons
1473
def
58
ref
subst
1473
remove
128
ref
subst
282
remove
eqMp
nil
84
ref
1470
remove
cons
1474
def
86
ref
283
remove
cons
nil
cons
1475
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1476
def
subst
eqMp
eqMp
nil
36
ref
1464
remove
cons
37
ref
1462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1461
remove
nil
cons
cons
226
ref
1457
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1455
remove
cons
86
ref
1457
ref
cons
nil
cons
1477
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1449
remove
cons
1478
def
86
ref
1453
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1479
def
subst
eqMp
eqMp
eqMp
nil
84
ref
1191
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
1187
ref
671
ref
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
1188
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1187
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
1054
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
1057
remove
cons
86
ref
1065
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1048
remove
cons
1480
def
86
ref
1063
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
1480
remove
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
1481
def
nil
1034
ref
37
ref
1032
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1067
ref
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
1020
ref
appTerm
nil
cons
cons
37
ref
1021
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1020
remove
nil
cons
cons
930
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
41
ref
886
ref
appTerm
47
ref
359
ref
183
ref
154
ref
996
ref
appTerm
869
ref
appTerm
appTerm
1018
remove
869
ref
appTerm
1482
def
appTerm
appTerm
appTerm
230
ref
1482
ref
appTerm
869
ref
appTerm
1483
def
appTerm
1484
def
appTerm
nil
cons
cons
37
ref
320
ref
873
remove
334
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
274
ref
985
remove
appThm
1484
ref
refl
appThm
nil
71
ref
1484
ref
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
320
ref
refl
nil
511
ref
146
ref
929
ref
cons
nil
cons
1485
def
cons
nil
cons
cons
167
ref
subst
appThm
appThm
sym
nil
1015
remove
37
ref
41
ref
1484
remove
appTerm
320
ref
154
ref
869
ref
appTerm
874
ref
appTerm
1486
def
appTerm
1487
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
573
ref
41
ref
230
ref
574
ref
appTerm
874
ref
appTerm
1488
def
appTerm
1489
def
41
ref
47
ref
359
ref
183
ref
154
ref
574
ref
appTerm
869
ref
appTerm
1490
def
appTerm
1491
def
1482
ref
appTerm
appTerm
appTerm
1483
remove
appTerm
appTerm
1487
ref
appTerm
appTerm
absTerm
1492
def
996
ref
appTerm
1493
def
betaConv
572
ref
7
ref
573
ref
1489
remove
41
ref
47
ref
359
ref
1491
ref
577
ref
appTerm
1494
def
appTerm
1495
def
appTerm
230
ref
577
ref
appTerm
869
ref
appTerm
1496
def
appTerm
1497
def
appTerm
1487
ref
appTerm
1498
def
appTerm
1499
def
absTerm
1500
def
appTerm
1501
def
absTerm
1502
def
1482
ref
appTerm
1503
def
betaConv
nil
111
ref
1502
ref
nil
cons
cons
1504
def
nil
cons
nil
cons
cons
329
ref
subst
572
ref
nil
71
ref
1501
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
1500
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
1499
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1488
ref
nil
cons
1505
def
cons
37
ref
1498
remove
nil
cons
1506
def
cons
nil
cons
cons
nil
cons
cons
1507
def
58
ref
subst
1507
remove
128
ref
subst
nil
36
ref
1497
remove
nil
cons
1508
def
cons
37
ref
1487
remove
nil
cons
1509
def
cons
nil
cons
cons
nil
cons
cons
1510
def
58
ref
subst
1510
remove
128
ref
subst
nil
84
ref
1495
ref
nil
cons
cons
86
ref
1496
ref
nil
cons
1511
def
cons
nil
cons
cons
nil
cons
cons
1512
def
100
ref
subst
1512
remove
293
ref
subst
333
ref
1495
remove
assume
appThm
1486
ref
refl
1513
def
appThm
sym
9
ref
47
ref
230
ref
1494
ref
appTerm
1514
def
20
ref
appTerm
appTerm
576
ref
1486
ref
appTerm
appTerm
absTerm
1515
def
1491
remove
869
ref
appTerm
1516
def
appTerm
betaConv
sym
348
ref
nil
573
ref
929
ref
cons
9
ref
593
remove
cons
146
ref
1490
remove
nil
cons
cons
nil
cons
1517
def
cons
cons
nil
cons
cons
573
ref
40
ref
578
remove
184
ref
574
ref
appTerm
appTerm
appTerm
320
ref
574
ref
appTerm
1518
def
appTerm
absTerm
1519
def
574
ref
appTerm
1520
def
betaConv
9
ref
7
ref
1519
ref
appTerm
1521
def
absTerm
1522
def
20
ref
appTerm
1523
def
betaConv
146
ref
7
ref
1522
ref
appTerm
1524
def
absTerm
1525
def
150
ref
appTerm
1526
def
betaConv
nil
7
ref
1525
ref
appTerm
1527
def
axiom
nil
36
ref
1527
remove
nil
cons
cons
37
ref
1526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1525
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1524
remove
nil
cons
cons
37
ref
1523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1522
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1521
remove
nil
cons
cons
37
ref
1520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1519
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
nil
71
ref
1511
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
1496
remove
assume
eqMp
trans
appThm
349
ref
1516
ref
appTerm
1486
ref
appTerm
1528
def
refl
appThm
nil
71
ref
1528
remove
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
trans
sym
350
ref
nil
9
ref
929
remove
cons
1529
def
1517
remove
cons
nil
cons
cons
9
ref
539
remove
196
ref
150
ref
appTerm
appTerm
absTerm
1530
def
20
ref
appTerm
1531
def
betaConv
146
ref
7
ref
1530
ref
appTerm
1532
def
absTerm
1533
def
150
ref
appTerm
1534
def
betaConv
nil
7
ref
1533
ref
appTerm
1535
def
axiom
nil
36
ref
1535
remove
nil
cons
cons
37
ref
1534
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1533
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1532
remove
nil
cons
cons
37
ref
1531
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1530
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
appThm
1513
ref
appThm
sym
350
ref
183
ref
869
ref
appTerm
refl
nil
1529
ref
146
ref
591
ref
cons
nil
cons
1536
def
cons
nil
cons
cons
9
ref
712
ref
168
ref
150
ref
appTerm
appTerm
absTerm
1537
def
20
ref
appTerm
1538
def
betaConv
146
ref
7
ref
1537
ref
appTerm
1539
def
absTerm
1540
def
150
ref
appTerm
1541
def
betaConv
nil
7
ref
1540
ref
appTerm
1542
def
axiom
nil
36
ref
1542
remove
nil
cons
cons
37
ref
1541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1540
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1539
remove
nil
cons
cons
37
ref
1538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1537
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1543
def
subst
appThm
appThm
1513
ref
appThm
sym
350
ref
nil
9
ref
591
remove
cons
1544
def
1485
ref
cons
nil
cons
cons
9
ref
13
ref
186
ref
appTerm
182
remove
appTerm
1545
def
absTerm
1546
def
20
ref
appTerm
1547
def
betaConv
146
ref
7
ref
1546
ref
appTerm
1548
def
absTerm
1549
def
150
ref
appTerm
1550
def
betaConv
8
ref
146
ref
8
ref
9
ref
1545
remove
assume
sym
187
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
194
remove
eqMp
nil
36
ref
7
ref
1549
ref
appTerm
nil
cons
cons
37
ref
1550
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1549
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1548
remove
nil
cons
cons
37
ref
1547
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1546
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
appThm
1513
remove
appThm
nil
573
ref
913
remove
cons
9
ref
29
ref
574
ref
appTerm
1551
def
nil
cons
cons
1485
remove
cons
cons
nil
cons
cons
573
ref
40
ref
349
ref
185
ref
appTerm
155
ref
574
ref
appTerm
1552
def
appTerm
appTerm
890
ref
576
ref
574
ref
appTerm
1553
def
appTerm
appTerm
absTerm
1554
def
574
ref
appTerm
1555
def
betaConv
9
ref
7
ref
1554
ref
appTerm
1556
def
absTerm
1557
def
20
ref
appTerm
1558
def
betaConv
146
ref
7
ref
1557
ref
appTerm
1559
def
absTerm
1560
def
150
ref
appTerm
1561
def
betaConv
nil
7
ref
1560
ref
appTerm
1562
def
axiom
nil
36
ref
1562
remove
nil
cons
cons
37
ref
1561
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1560
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1559
remove
nil
cons
cons
37
ref
1558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1557
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1556
remove
nil
cons
cons
37
ref
1555
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1554
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1563
def
subst
251
ref
984
remove
appThm
nil
914
ref
1536
ref
cons
nil
cons
cons
357
remove
subst
nil
71
ref
1505
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
1488
remove
assume
eqMp
trans
appThm
218
ref
1178
ref
subst
trans
trans
trans
sym
77
ref
eqMp
eqMp
eqMp
eqMp
eqMp
110
ref
111
ref
1515
ref
nil
cons
cons
112
ref
1516
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1469
remove
sym
nil
225
ref
86
ref
41
ref
1448
remove
appTerm
91
remove
appTerm
1564
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
850
ref
subst
86
ref
nil
71
ref
1564
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
1460
ref
58
ref
subst
1460
remove
128
ref
subst
nil
36
ref
126
remove
cons
1458
remove
cons
nil
cons
cons
109
ref
subst
1447
ref
124
ref
appTerm
1565
def
betaConv
nil
1450
remove
37
ref
1565
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
663
ref
119
ref
1447
remove
nil
cons
cons
664
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1478
remove
1477
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
1566
def
subst
proveHyp
nil
36
ref
872
ref
1515
remove
appTerm
nil
cons
cons
37
ref
1514
remove
1486
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
1486
remove
nil
cons
cons
146
ref
1494
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
573
ref
41
ref
872
ref
9
ref
47
ref
243
ref
appTerm
1567
def
1553
ref
appTerm
1568
def
absTerm
1569
def
appTerm
1570
def
appTerm
1571
def
575
ref
appTerm
1572
def
absTerm
1573
def
574
ref
appTerm
1574
def
betaConv
146
ref
7
ref
1573
ref
appTerm
1575
def
absTerm
1576
def
150
ref
appTerm
1577
def
betaConv
nil
7
ref
146
ref
7
ref
9
ref
7
ref
573
ref
41
ref
1568
ref
appTerm
575
ref
appTerm
absTerm
1578
def
appTerm
1579
def
absTerm
1580
def
appTerm
1581
def
absTerm
1582
def
appTerm
1583
def
axiom
nil
36
ref
1583
ref
nil
cons
1584
def
cons
1585
def
37
ref
7
ref
1576
ref
appTerm
nil
cons
1586
def
cons
nil
cons
cons
nil
cons
cons
1587
def
109
ref
subst
proveHyp
1587
ref
58
ref
subst
1587
remove
128
ref
subst
nil
111
ref
1576
remove
nil
cons
cons
1588
def
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1575
remove
nil
cons
1589
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
1573
remove
nil
cons
cons
1590
def
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
1572
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1570
remove
nil
cons
1591
def
cons
1592
def
37
ref
575
ref
nil
cons
1593
def
cons
nil
cons
1594
def
cons
nil
cons
cons
1595
def
58
ref
subst
1595
remove
128
ref
subst
nil
1585
ref
1594
ref
cons
nil
cons
cons
1596
def
109
ref
subst
nil
1592
remove
37
ref
41
ref
1583
remove
appTerm
575
ref
appTerm
1597
def
nil
cons
1598
def
cons
nil
cons
1599
def
cons
nil
cons
cons
109
ref
subst
nil
111
ref
9
ref
41
ref
1569
ref
20
ref
appTerm
1600
def
appTerm
1597
ref
appTerm
1601
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1601
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1600
ref
nil
cons
1602
def
cons
1599
ref
cons
nil
cons
cons
1603
def
58
ref
subst
1603
remove
128
ref
subst
1600
ref
betaConv
1600
remove
assume
eqMp
nil
36
ref
1568
remove
nil
cons
1604
def
cons
1605
def
1599
remove
cons
nil
cons
cons
1606
def
109
ref
subst
proveHyp
1606
ref
58
ref
subst
1606
remove
128
ref
subst
1596
ref
58
ref
subst
1596
remove
128
ref
subst
nil
1605
remove
1594
ref
cons
nil
cons
cons
109
ref
subst
1578
ref
574
ref
appTerm
1607
def
betaConv
1580
ref
20
ref
appTerm
1608
def
betaConv
1582
ref
150
ref
appTerm
1609
def
betaConv
nil
1585
remove
37
ref
1609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
1582
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1581
remove
nil
cons
cons
37
ref
1608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1580
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1579
remove
nil
cons
cons
37
ref
1607
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1578
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1584
remove
cons
1610
def
86
ref
1593
remove
cons
nil
cons
1611
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1604
remove
cons
86
ref
1598
remove
cons
nil
cons
1612
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
1602
remove
cons
1612
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
1569
ref
671
ref
appTerm
appTerm
1597
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
1571
remove
1597
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1569
remove
nil
cons
cons
1612
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1591
remove
cons
1611
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
1610
remove
86
ref
1586
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
1586
remove
cons
37
ref
1577
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1588
remove
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1589
remove
cons
37
ref
1574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1590
remove
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1613
def
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
84
ref
1508
remove
cons
86
ref
1509
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1505
remove
cons
86
ref
1506
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
1502
remove
appTerm
nil
cons
cons
37
ref
1503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1504
remove
112
ref
1482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
1492
ref
appTerm
nil
cons
cons
37
ref
1493
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1492
remove
nil
cons
cons
112
ref
996
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
110
ref
111
ref
916
remove
nil
cons
cons
112
ref
509
remove
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
eqMp
nil
84
ref
1014
remove
cons
86
ref
1006
remove
cons
nil
cons
1614
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
1012
remove
cons
1614
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
998
ref
671
ref
appTerm
appTerm
917
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
999
remove
appTerm
917
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
998
remove
nil
cons
cons
1614
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
proveHyp
eqMp
nil
84
ref
1005
remove
cons
1614
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
eqMp
110
ref
111
ref
927
ref
nil
cons
cons
930
ref
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
927
remove
appTerm
nil
cons
cons
37
ref
7
ref
918
ref
appTerm
nil
cons
1615
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
912
ref
920
remove
922
remove
refl
348
ref
918
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
1147
remove
918
ref
926
remove
appTerm
betaConv
appThm
appThm
918
ref
20
ref
appTerm
betaConv
1616
def
appThm
absThm
appThm
appThm
appThm
absThm
appThm
appThm
8
ref
9
ref
1616
remove
absThm
appThm
appThm
nil
415
ref
918
remove
nil
cons
1617
def
cons
nil
cons
nil
cons
cons
415
ref
41
ref
872
ref
867
ref
47
ref
870
remove
appTerm
418
remove
7
ref
9
ref
41
ref
923
ref
417
ref
996
remove
appTerm
appTerm
appTerm
419
ref
appTerm
absTerm
appTerm
appTerm
appTerm
1618
def
absTerm
1619
def
appTerm
1620
def
appTerm
1621
def
420
ref
appTerm
1622
def
absTerm
1623
def
417
ref
appTerm
1624
def
betaConv
nil
7
ref
867
ref
423
ref
415
ref
41
ref
1618
ref
appTerm
420
ref
appTerm
absTerm
1625
def
appTerm
1626
def
absTerm
1627
def
appTerm
1628
def
axiom
nil
36
ref
1628
ref
nil
cons
1629
def
cons
1630
def
37
ref
423
ref
1623
ref
appTerm
nil
cons
1631
def
cons
nil
cons
cons
nil
cons
cons
1632
def
109
ref
subst
proveHyp
1632
ref
58
ref
subst
1632
remove
128
ref
subst
nil
426
ref
1623
remove
nil
cons
cons
1633
def
nil
cons
nil
cons
cons
425
ref
209
ref
cons
328
ref
subst
subst
415
ref
nil
71
ref
1622
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1620
remove
nil
cons
1634
def
cons
1635
def
37
ref
420
ref
nil
cons
1636
def
cons
nil
cons
1637
def
cons
nil
cons
cons
1638
def
58
ref
subst
1638
remove
128
ref
subst
nil
1630
ref
1637
ref
cons
nil
cons
cons
1639
def
109
ref
subst
nil
1635
remove
37
ref
41
ref
1628
remove
appTerm
420
ref
appTerm
1640
def
nil
cons
1641
def
cons
nil
cons
1642
def
cons
nil
cons
cons
109
ref
subst
nil
111
ref
867
ref
41
ref
1619
ref
869
ref
appTerm
1643
def
appTerm
1640
ref
appTerm
1644
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
867
ref
nil
71
ref
1644
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1643
ref
nil
cons
1645
def
cons
1642
ref
cons
nil
cons
cons
1646
def
58
ref
subst
1646
remove
128
ref
subst
1643
ref
betaConv
1643
remove
assume
eqMp
nil
36
ref
1618
remove
nil
cons
1647
def
cons
1648
def
1642
remove
cons
nil
cons
cons
1649
def
109
ref
subst
proveHyp
1649
ref
58
ref
subst
1649
remove
128
ref
subst
1639
ref
58
ref
subst
1639
remove
128
ref
subst
nil
1648
remove
1637
remove
cons
nil
cons
cons
109
ref
subst
1625
ref
417
ref
appTerm
1650
def
betaConv
1627
ref
869
ref
appTerm
1651
def
betaConv
nil
1630
remove
37
ref
1651
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
1627
remove
nil
cons
cons
930
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1626
remove
nil
cons
cons
37
ref
1650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
425
ref
426
ref
1625
remove
nil
cons
cons
427
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1629
remove
cons
1652
def
86
ref
1636
remove
cons
nil
cons
1653
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1647
remove
cons
86
ref
1641
remove
cons
nil
cons
1654
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
1645
remove
cons
1654
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
1619
ref
671
ref
appTerm
appTerm
1640
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
1621
remove
1640
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1619
remove
nil
cons
cons
1654
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1634
remove
cons
1653
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
1652
remove
86
ref
1631
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
1631
remove
cons
37
ref
1624
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
425
ref
1633
remove
427
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
36
ref
1615
remove
cons
37
ref
919
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1617
remove
cons
112
ref
915
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
907
remove
cons
86
ref
882
ref
cons
nil
cons
1655
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
905
remove
cons
1655
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
899
ref
671
ref
appTerm
appTerm
875
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
900
ref
appTerm
875
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
899
remove
nil
cons
cons
1655
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
nil
667
ref
883
ref
cons
nil
cons
cons
1656
def
58
ref
subst
1656
remove
128
ref
subst
912
ref
146
ref
350
ref
780
ref
appThm
874
remove
refl
appThm
nil
914
remove
nil
cons
nil
cons
cons
nil
71
ref
349
ref
23
ref
appTerm
1657
def
20
ref
appTerm
1658
def
nil
cons
1659
def
cons
nil
cons
nil
cons
cons
1660
def
78
ref
subst
9
ref
1658
ref
absTerm
1661
def
20
ref
appTerm
1662
def
betaConv
nil
7
ref
1661
ref
appTerm
1663
def
axiom
nil
36
ref
1663
remove
nil
cons
cons
37
ref
1662
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1661
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
1664
def
subst
trans
absThm
appThm
995
remove
trans
sym
77
ref
eqMp
eqMp
nil
781
ref
1655
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
781
ref
86
ref
900
remove
nil
cons
cons
757
ref
882
ref
cons
nil
cons
1665
def
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
901
remove
cons
1655
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
887
ref
cons
1655
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
982
ref
cons
883
remove
cons
nil
cons
cons
1666
def
58
ref
subst
1666
remove
128
ref
subst
nil
881
remove
273
ref
cons
nil
cons
cons
109
ref
subst
928
remove
1042
ref
subst
nil
1529
ref
598
ref
cons
nil
cons
cons
9
ref
40
ref
255
ref
243
ref
appTerm
1667
def
appTerm
576
ref
150
ref
appTerm
1668
def
appTerm
1669
def
absTerm
1670
def
20
ref
appTerm
1671
def
betaConv
146
ref
7
ref
1670
ref
appTerm
1672
def
absTerm
1673
def
150
ref
appTerm
1674
def
betaConv
nil
7
ref
1673
ref
appTerm
1675
def
axiom
1676
def
nil
36
ref
1675
remove
nil
cons
cons
37
ref
1674
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1673
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1672
remove
nil
cons
cons
37
ref
1671
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1670
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1677
def
subst
trans
350
ref
885
ref
assume
appThm
688
ref
appThm
568
ref
1664
remove
subst
trans
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
882
remove
cons
nil
cons
nil
cons
cons
305
remove
subst
proveHyp
eqMp
nil
983
ref
1655
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
ref
885
remove
appTerm
1678
def
betaConv
1440
ref
nil
1441
ref
37
ref
1678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
ref
226
ref
982
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
983
remove
86
ref
887
ref
cons
1665
remove
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
84
ref
880
remove
cons
1655
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
879
remove
appTerm
thm
nil
111
ref
146
ref
7
ref
9
ref
40
ref
"Number.Natural.even"
const
5
ref
constTerm
1679
def
156
ref
appTerm
appTerm
47
ref
1679
ref
150
ref
appTerm
1680
def
appTerm
1681
def
361
ref
appTerm
1682
def
appTerm
1683
def
absTerm
1684
def
appTerm
1685
def
absTerm
1686
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1685
remove
nil
cons
1687
def
cons
nil
cons
nil
cons
cons
78
ref
subst
88
ref
1679
ref
refl
1688
def
799
remove
appThm
27
ref
9
ref
40
ref
1679
ref
152
ref
appTerm
appTerm
255
ref
1679
ref
20
ref
appTerm
1689
def
appTerm
appTerm
absTerm
1690
def
20
ref
appTerm
1691
def
betaConv
nil
7
ref
1690
ref
appTerm
1692
def
axiom
nil
36
ref
1692
remove
nil
cons
cons
37
ref
1691
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1690
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
365
ref
nil
71
ref
1679
ref
23
ref
appTerm
1693
def
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
1693
remove
axiom
eqMp
appThm
441
ref
trans
trans
trans
appThm
1681
ref
refl
1694
def
442
ref
appThm
nil
71
ref
1680
ref
nil
cons
1695
def
cons
nil
cons
nil
cons
cons
1696
def
554
ref
subst
trans
appThm
455
ref
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
1679
ref
171
ref
appTerm
appTerm
1681
ref
461
ref
appTerm
appTerm
1697
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
1683
ref
appTerm
40
ref
1679
ref
153
ref
appTerm
appTerm
1681
remove
433
ref
appTerm
appTerm
1698
def
appTerm
1699
def
absTerm
1700
def
appTerm
1701
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
1700
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1699
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1683
ref
nil
cons
1702
def
cons
37
ref
1698
remove
nil
cons
1703
def
cons
nil
cons
cons
nil
cons
cons
1704
def
58
ref
subst
1704
remove
128
ref
subst
88
ref
1688
remove
167
ref
appThm
826
ref
9
ref
40
ref
1679
remove
185
ref
appTerm
appTerm
240
ref
1680
ref
appTerm
1705
def
1689
ref
appTerm
appTerm
absTerm
1706
def
20
ref
appTerm
1707
def
betaConv
146
ref
7
ref
1706
ref
appTerm
1708
def
absTerm
1709
def
150
ref
appTerm
1710
def
betaConv
nil
7
ref
1709
ref
appTerm
1711
def
axiom
nil
36
ref
1711
remove
nil
cons
cons
37
ref
1710
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1709
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1708
remove
nil
cons
cons
37
ref
1707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1706
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
1705
ref
refl
1683
remove
assume
appThm
trans
trans
appThm
1694
remove
482
ref
appThm
1696
remove
71
ref
40
ref
550
remove
63
ref
appTerm
appTerm
74
ref
appTerm
absTerm
1712
def
74
ref
appTerm
1713
def
betaConv
nil
222
ref
1712
ref
appTerm
1714
def
axiom
nil
36
ref
1714
remove
nil
cons
cons
37
ref
1713
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1712
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1715
def
subst
trans
appThm
sym
nil
36
ref
1705
remove
1682
ref
appTerm
1716
def
nil
cons
1717
def
cons
37
ref
1695
ref
cons
nil
cons
1718
def
cons
nil
cons
cons
1719
def
294
ref
subst
1719
ref
58
ref
subst
1719
remove
128
ref
subst
nil
36
ref
1682
remove
nil
cons
1720
def
cons
1718
ref
cons
nil
cons
cons
1721
def
58
ref
subst
1721
remove
128
ref
subst
nil
84
ref
1695
ref
cons
1722
def
86
ref
548
ref
cons
nil
cons
1723
def
cons
nil
cons
cons
100
ref
subst
eqMp
nil
84
ref
1720
ref
cons
86
ref
1695
ref
cons
nil
cons
1724
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1695
ref
cons
1725
def
1718
remove
cons
nil
cons
cons
1726
def
58
ref
subst
1726
remove
128
ref
subst
1680
ref
assume
eqMp
nil
1722
ref
1724
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1722
ref
86
ref
1720
remove
cons
1727
def
757
ref
1695
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
1717
ref
cons
1724
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
41
ref
1716
ref
appTerm
1680
ref
appTerm
nil
cons
cons
37
ref
41
ref
1680
remove
appTerm
1716
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
1725
remove
37
ref
1717
ref
cons
nil
cons
cons
nil
cons
cons
1728
def
58
ref
subst
1728
remove
128
ref
subst
nil
1722
ref
1727
remove
nil
cons
cons
nil
cons
cons
865
ref
subst
eqMp
nil
1722
remove
86
ref
1717
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1702
remove
cons
86
ref
1703
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
1697
remove
appTerm
1701
remove
appTerm
nil
cons
cons
37
ref
1687
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
1684
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
1684
ref
20
ref
appTerm
betaConv
1729
def
appThm
1684
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
1729
remove
absThm
appThm
appThm
nil
415
ref
1684
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
7
ref
1686
remove
appTerm
thm
8
ref
112
ref
8
ref
1331
ref
88
ref
8
ref
9
ref
41
ref
349
ref
671
ref
appTerm
1730
def
1332
ref
appTerm
1731
def
appTerm
1732
def
refl
1733
def
9
ref
349
ref
673
ref
appTerm
1734
def
19
ref
1332
ref
appTerm
1735
def
20
ref
appTerm
1736
def
appTerm
1737
def
absTerm
1738
def
20
ref
appTerm
betaConv
1739
def
appThm
absThm
appThm
appThm
1733
remove
8
ref
9
ref
1739
ref
absThm
appThm
1740
def
appThm
appThm
nil
"q"
5
remove
var
1741
def
1738
ref
nil
cons
1742
def
cons
36
ref
1731
ref
nil
cons
1743
def
cons
1744
def
nil
cons
1745
def
cons
nil
cons
cons
210
ref
"q"
116
remove
var
1746
def
40
ref
118
ref
123
ref
43
ref
1746
ref
varTerm
1747
def
124
ref
appTerm
1748
def
appTerm
absTerm
appTerm
appTerm
43
ref
118
ref
123
ref
1748
ref
absTerm
1749
def
appTerm
1750
def
appTerm
appTerm
absTerm
1751
def
1747
ref
appTerm
1752
def
betaConv
36
ref
656
ref
1751
ref
appTerm
1753
def
absTerm
1754
def
42
ref
appTerm
1755
def
betaConv
nil
222
ref
1754
ref
appTerm
1756
def
axiom
nil
36
ref
1756
remove
nil
cons
cons
37
ref
1755
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1754
remove
nil
cons
cons
1044
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1753
remove
nil
cons
cons
37
ref
1752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
1751
remove
nil
cons
cons
660
remove
1747
ref
nil
cons
cons
nil
cons
1757
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
absThm
appThm
sym
nil
111
ref
112
ref
7
ref
1331
ref
1732
ref
7
ref
1738
ref
appTerm
1758
def
appTerm
1759
def
absTerm
1760
def
appTerm
1761
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
1761
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
1760
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
1331
ref
nil
71
ref
1759
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
1744
ref
37
ref
1758
remove
nil
cons
1762
def
cons
nil
cons
1763
def
cons
nil
cons
cons
1764
def
58
ref
subst
1764
remove
128
ref
subst
350
ref
687
ref
appThm
nil
146
ref
1332
ref
nil
cons
1765
def
cons
1766
def
nil
cons
nil
cons
cons
1767
def
180
ref
subst
1768
def
appThm
568
ref
nil
71
ref
576
ref
20
ref
appTerm
1769
def
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
9
ref
1769
remove
absTerm
1770
def
20
ref
appTerm
1771
def
betaConv
nil
7
ref
1770
ref
appTerm
1772
def
axiom
nil
36
ref
1772
remove
nil
cons
cons
37
ref
1771
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1770
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
1773
def
subst
1774
def
trans
sym
77
ref
eqMp
nil
36
ref
349
ref
698
ref
appTerm
1735
ref
23
ref
appTerm
1775
def
appTerm
1776
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
1737
ref
appTerm
1777
def
349
ref
700
ref
appTerm
1735
remove
152
ref
appTerm
1778
def
appTerm
1779
def
appTerm
1780
def
absTerm
1781
def
appTerm
1782
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
1781
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1780
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1737
ref
nil
cons
1783
def
cons
1784
def
37
ref
1779
remove
nil
cons
1785
def
cons
nil
cons
cons
nil
cons
cons
1786
def
58
ref
subst
1786
remove
128
ref
subst
350
ref
708
ref
appThm
1767
ref
167
ref
subst
1787
def
appThm
348
ref
nil
71
ref
1743
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
1731
ref
assume
eqMp
appThm
nil
71
ref
1783
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
1788
def
1737
ref
assume
eqMp
appThm
483
ref
trans
sym
77
ref
eqMp
nil
36
ref
47
ref
1731
ref
appTerm
1789
def
1737
ref
appTerm
nil
cons
cons
37
ref
40
ref
349
ref
154
ref
671
ref
appTerm
1790
def
673
ref
appTerm
1791
def
appTerm
1792
def
154
ref
1332
ref
appTerm
1736
ref
appTerm
1793
def
appTerm
appTerm
63
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
572
ref
1736
ref
nil
cons
1794
def
cons
9
ref
1765
ref
cons
1795
def
573
ref
709
ref
cons
685
ref
cons
cons
cons
nil
cons
cons
nil
36
ref
47
ref
934
ref
appTerm
1796
def
349
ref
574
ref
appTerm
1797
def
577
ref
appTerm
appTerm
1798
def
nil
cons
1799
def
cons
1800
def
37
ref
40
ref
349
ref
1552
ref
appTerm
1801
def
168
ref
577
ref
appTerm
appTerm
1802
def
appTerm
63
ref
appTerm
nil
cons
1803
def
cons
nil
cons
cons
nil
cons
cons
1804
def
58
ref
subst
1804
remove
128
ref
subst
nil
71
ref
1802
ref
nil
cons
1805
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
1800
remove
37
ref
1805
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
572
ref
41
ref
1798
remove
appTerm
1802
remove
appTerm
absTerm
1806
def
577
ref
appTerm
1807
def
betaConv
573
ref
7
ref
1806
ref
appTerm
1808
def
absTerm
1809
def
574
ref
appTerm
1810
def
betaConv
9
ref
7
ref
1809
ref
appTerm
1811
def
absTerm
1812
def
20
ref
appTerm
1813
def
betaConv
146
ref
7
ref
1812
ref
appTerm
1814
def
absTerm
1815
def
150
ref
appTerm
1816
def
betaConv
nil
7
ref
1815
ref
appTerm
1817
def
axiom
nil
36
ref
1817
remove
nil
cons
cons
37
ref
1816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1815
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1814
remove
nil
cons
cons
37
ref
1813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1812
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1811
remove
nil
cons
cons
37
ref
1810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1809
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1808
remove
nil
cons
cons
37
ref
1807
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1806
remove
nil
cons
cons
594
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1799
remove
cons
86
ref
1803
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
subst
eqMp
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
1783
ref
cons
1818
def
86
ref
1785
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
1776
remove
appTerm
1782
remove
appTerm
nil
cons
cons
1763
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
1738
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
1739
remove
appThm
1738
remove
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
1740
remove
appThm
nil
415
ref
1742
remove
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
1743
ref
cons
1819
def
86
ref
1762
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
1820
def
nil
7
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
1732
remove
1737
ref
appTerm
absTerm
1821
def
appTerm
1822
def
absTerm
1823
def
appTerm
1824
def
absTerm
1825
def
appTerm
1826
def
thm
nil
111
ref
146
ref
7
ref
9
ref
7
ref
573
ref
13
ref
151
ref
168
ref
574
ref
appTerm
1827
def
appTerm
appTerm
19
ref
156
ref
appTerm
574
ref
appTerm
1828
def
appTerm
absTerm
1829
def
appTerm
1830
def
absTerm
1831
def
appTerm
1832
def
absTerm
1833
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1832
remove
nil
cons
1834
def
cons
nil
cons
nil
cons
cons
78
ref
subst
8
ref
573
ref
14
ref
151
ref
refl
1835
def
nil
1544
ref
nil
cons
nil
cons
cons
1836
def
480
ref
subst
appThm
180
ref
trans
appThm
19
ref
refl
1837
def
180
ref
appThm
574
ref
refl
1838
def
appThm
appThm
absThm
appThm
sym
8
ref
573
ref
13
ref
600
remove
574
ref
appTerm
1839
def
appTerm
172
ref
appTerm
assume
sym
13
ref
172
ref
appTerm
1839
remove
appTerm
assume
sym
deductAntisym
absThm
appThm
sym
623
ref
eqMp
eqMp
nil
36
ref
7
ref
573
ref
13
ref
151
ref
475
remove
574
ref
appTerm
appTerm
appTerm
19
ref
171
ref
appTerm
574
ref
appTerm
appTerm
absTerm
appTerm
1840
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
1830
ref
appTerm
7
ref
573
ref
13
ref
151
ref
154
ref
152
ref
appTerm
574
ref
appTerm
appTerm
appTerm
19
ref
153
remove
appTerm
574
ref
appTerm
appTerm
absTerm
appTerm
1841
def
appTerm
1842
def
absTerm
1843
def
appTerm
1844
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
1843
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1842
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1830
remove
nil
cons
1845
def
cons
1846
def
37
ref
1841
remove
nil
cons
1847
def
cons
nil
cons
cons
nil
cons
cons
1848
def
58
ref
subst
1848
remove
128
ref
subst
8
ref
573
ref
14
ref
1835
ref
nil
1544
ref
148
ref
cons
nil
cons
cons
1849
def
537
ref
subst
appThm
nil
9
ref
1827
ref
nil
cons
cons
nil
cons
nil
cons
cons
573
ref
13
ref
151
ref
196
ref
574
ref
appTerm
1850
def
appTerm
1851
def
appTerm
154
ref
156
ref
appTerm
1852
def
151
ref
574
ref
appTerm
1853
def
appTerm
1854
def
appTerm
1855
def
absTerm
1856
def
574
ref
appTerm
1857
def
betaConv
1858
def
14
ref
1835
ref
206
ref
appThm
appThm
1852
ref
refl
1859
def
180
ref
appThm
nil
146
ref
825
ref
cons
nil
cons
1860
def
nil
cons
cons
1861
def
146
ref
13
ref
155
ref
172
ref
appTerm
appTerm
150
ref
appTerm
absTerm
1862
def
150
ref
appTerm
1863
def
betaConv
nil
7
ref
1862
ref
appTerm
1864
def
axiom
nil
36
ref
1864
ref
nil
cons
cons
37
ref
1863
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1862
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1865
def
subst
trans
appThm
nil
112
ref
825
ref
cons
nil
cons
nil
cons
cons
215
ref
subst
1866
def
trans
sym
77
ref
eqMp
nil
36
ref
13
ref
151
ref
196
ref
23
ref
appTerm
1867
def
appTerm
appTerm
1852
ref
171
ref
appTerm
appTerm
1868
def
nil
cons
cons
37
ref
7
ref
573
ref
41
ref
1855
ref
appTerm
13
ref
151
ref
196
ref
1551
ref
appTerm
appTerm
appTerm
1852
remove
151
ref
1551
ref
appTerm
1869
def
appTerm
appTerm
1870
def
appTerm
1871
def
absTerm
1872
def
appTerm
1873
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
1872
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
1871
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1855
ref
nil
cons
1874
def
cons
37
ref
1870
remove
nil
cons
1875
def
cons
nil
cons
cons
nil
cons
cons
1876
def
58
ref
subst
1876
remove
128
ref
subst
14
ref
1835
ref
1849
ref
413
ref
subst
appThm
nil
9
ref
1850
remove
nil
cons
cons
nil
cons
nil
cons
cons
167
ref
subst
155
ref
refl
1877
def
1855
remove
assume
1878
def
appThm
trans
trans
appThm
1859
remove
1836
ref
167
ref
subst
1879
def
appThm
nil
573
ref
1853
ref
nil
cons
1880
def
cons
1881
def
511
ref
1860
ref
cons
cons
nil
cons
cons
573
ref
13
ref
155
ref
1827
ref
appTerm
1882
def
appTerm
1883
def
168
ref
1552
ref
appTerm
appTerm
absTerm
1884
def
574
ref
appTerm
1885
def
betaConv
9
ref
7
ref
1884
ref
appTerm
1886
def
absTerm
1887
def
20
ref
appTerm
1888
def
betaConv
146
ref
7
ref
1887
ref
appTerm
1889
def
absTerm
1890
def
150
ref
appTerm
1891
def
betaConv
nil
7
ref
1890
ref
appTerm
1892
def
axiom
nil
36
ref
1892
remove
nil
cons
cons
37
ref
1891
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1890
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1889
remove
nil
cons
cons
37
ref
1888
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1887
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1886
remove
nil
cons
cons
37
ref
1885
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1884
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1893
def
subst
trans
appThm
nil
112
ref
155
ref
1854
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
1874
remove
cons
86
ref
1875
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
1868
remove
appTerm
1873
remove
appTerm
nil
cons
cons
37
ref
7
ref
1856
ref
appTerm
1894
def
nil
cons
1895
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
1856
ref
23
ref
appTerm
betaConv
appThm
8
ref
573
ref
274
ref
1858
ref
appThm
1856
ref
1551
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
573
ref
1858
remove
absThm
appThm
appThm
nil
415
ref
1856
remove
nil
cons
1896
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
1897
def
nil
36
ref
1895
ref
cons
37
ref
1857
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1896
remove
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1898
def
subst
154
ref
refl
1899
def
1829
ref
574
ref
appTerm
1900
def
betaConv
nil
1846
remove
37
ref
1900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
1829
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
appThm
1853
ref
refl
1901
def
appThm
trans
trans
appThm
1837
ref
167
ref
appThm
1838
ref
appThm
appThm
absThm
appThm
sym
8
ref
573
ref
13
ref
154
ref
1828
ref
appTerm
1853
ref
appTerm
appTerm
1902
def
refl
826
ref
9
ref
13
ref
19
ref
185
ref
appTerm
1903
def
574
ref
appTerm
1904
def
appTerm
154
ref
1853
ref
appTerm
1905
def
21
ref
574
ref
appTerm
1906
def
appTerm
1907
def
appTerm
absTerm
1908
def
20
ref
appTerm
1909
def
betaConv
1910
def
146
ref
7
ref
1908
ref
appTerm
1911
def
absTerm
1912
def
150
ref
appTerm
1913
def
betaConv
1914
def
573
ref
7
ref
1912
ref
appTerm
1915
def
absTerm
1916
def
574
ref
appTerm
1917
def
betaConv
1918
def
8
ref
146
ref
8
ref
9
ref
14
ref
nil
146
ref
185
ref
nil
cons
cons
nil
cons
1919
def
nil
cons
cons
180
ref
subst
appThm
1899
ref
180
ref
appThm
181
remove
appThm
568
ref
616
ref
subst
1920
def
trans
appThm
689
ref
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
sym
77
ref
eqMp
nil
36
ref
7
ref
146
ref
7
ref
9
ref
13
ref
1903
ref
23
ref
appTerm
appTerm
154
ref
171
ref
appTerm
21
ref
23
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1921
def
nil
cons
cons
37
ref
7
ref
573
ref
41
ref
1915
ref
appTerm
7
ref
146
ref
7
ref
9
ref
13
ref
1903
remove
1551
ref
appTerm
appTerm
154
ref
1869
ref
appTerm
21
remove
1551
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
1922
def
appTerm
1923
def
absTerm
1924
def
appTerm
1925
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
1924
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
1923
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
1915
remove
nil
cons
1926
def
cons
1927
def
37
ref
1922
remove
nil
cons
1928
def
cons
nil
cons
cons
nil
cons
cons
1929
def
58
ref
subst
1929
remove
128
ref
subst
8
ref
146
ref
8
ref
9
ref
14
ref
nil
1544
ref
1919
remove
cons
nil
cons
cons
167
ref
subst
nil
573
ref
1904
remove
nil
cons
cons
nil
cons
nil
cons
cons
573
ref
1883
remove
154
ref
185
remove
appTerm
574
ref
appTerm
1930
def
appTerm
1931
def
absTerm
1932
def
574
ref
appTerm
1933
def
betaConv
9
ref
7
ref
1932
ref
appTerm
1934
def
absTerm
1935
def
20
ref
appTerm
1936
def
betaConv
146
ref
7
ref
1935
ref
appTerm
1937
def
absTerm
1938
def
150
ref
appTerm
1939
def
betaConv
nil
7
ref
1938
ref
appTerm
1940
def
axiom
nil
36
ref
1940
remove
nil
cons
cons
37
ref
1939
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1938
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1937
remove
nil
cons
cons
37
ref
1936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1935
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1934
remove
nil
cons
cons
37
ref
1933
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1932
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1941
def
nil
36
ref
1931
remove
nil
cons
cons
37
ref
13
ref
1930
ref
appTerm
1882
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
112
ref
1882
remove
nil
cons
cons
1331
ref
1930
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
210
ref
123
ref
41
ref
1395
ref
appTerm
1402
remove
124
ref
appTerm
appTerm
1942
def
absTerm
1943
def
124
ref
appTerm
1944
def
betaConv
639
ref
118
ref
1943
ref
appTerm
1945
def
absTerm
1946
def
643
ref
appTerm
1947
def
betaConv
nil
118
ref
123
ref
118
ref
639
ref
1942
ref
absTerm
1948
def
appTerm
1949
def
absTerm
1950
def
appTerm
1951
def
axiom
nil
36
ref
1951
remove
nil
cons
1952
def
cons
1953
def
37
ref
118
ref
1946
ref
appTerm
nil
cons
1954
def
cons
nil
cons
cons
nil
cons
cons
1955
def
109
ref
subst
proveHyp
1955
ref
58
ref
subst
1955
remove
128
ref
subst
nil
119
ref
1946
remove
nil
cons
cons
1956
def
nil
cons
nil
cons
cons
328
ref
subst
639
ref
nil
71
ref
1945
remove
nil
cons
1957
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
119
ref
1943
remove
nil
cons
cons
1958
def
nil
cons
nil
cons
cons
328
ref
subst
123
ref
nil
71
ref
1942
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
1948
ref
643
ref
appTerm
1959
def
betaConv
1950
ref
124
ref
appTerm
1960
def
betaConv
nil
1953
remove
37
ref
1960
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
663
ref
119
ref
1950
remove
nil
cons
cons
664
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1949
remove
nil
cons
cons
37
ref
1959
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
1948
remove
nil
cons
cons
665
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
84
ref
1952
remove
cons
86
ref
1954
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
1954
remove
cons
37
ref
1947
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
1956
remove
665
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1957
remove
cons
37
ref
1944
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
1958
remove
664
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
eqMp
1961
def
subst
trans
1877
ref
169
remove
1910
remove
1914
remove
nil
1927
remove
37
ref
1913
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
1962
def
110
ref
111
ref
1912
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
1963
def
eqMp
eqMp
nil
36
ref
1911
remove
nil
cons
cons
37
ref
1909
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
1964
def
proveHyp
110
ref
111
ref
1908
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
1965
def
eqMp
eqMp
appThm
appThm
trans
appThm
1899
ref
1879
ref
appThm
1849
ref
167
ref
subst
appThm
nil
573
ref
168
ref
1906
ref
appTerm
nil
cons
cons
9
ref
1880
ref
cons
1966
def
nil
cons
1967
def
cons
nil
cons
cons
1961
remove
subst
1877
ref
nil
573
ref
1906
remove
nil
cons
cons
146
ref
1880
remove
cons
nil
cons
cons
nil
cons
cons
1893
remove
subst
appThm
trans
trans
appThm
nil
112
ref
155
ref
168
remove
1907
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
1926
remove
cons
86
ref
1928
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
1921
remove
appTerm
1925
remove
appTerm
nil
cons
cons
37
ref
7
ref
1916
ref
appTerm
1968
def
nil
cons
1969
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
1916
ref
23
ref
appTerm
betaConv
appThm
8
ref
573
ref
274
ref
1918
ref
appThm
1916
ref
1551
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
573
ref
1918
remove
absThm
appThm
appThm
nil
415
ref
1916
remove
nil
cons
1970
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
1971
def
nil
36
ref
1969
remove
cons
37
ref
1917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1970
remove
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1962
remove
proveHyp
1963
remove
eqMp
eqMp
1964
remove
proveHyp
1965
remove
eqMp
eqMp
subst
appThm
absThm
appThm
sym
nil
111
ref
573
ref
1902
remove
1905
remove
1828
ref
appTerm
appTerm
1972
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
1972
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
1966
ref
146
ref
1828
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1543
remove
subst
eqMp
absThm
eqMp
eqMp
eqMp
eqMp
nil
84
ref
1845
remove
cons
86
ref
1847
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
1840
remove
appTerm
1844
remove
appTerm
nil
cons
cons
37
ref
1834
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
1831
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
1831
ref
20
ref
appTerm
betaConv
1973
def
appThm
1831
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
1973
remove
absThm
appThm
appThm
nil
415
ref
1831
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
7
ref
1833
remove
appTerm
thm
8
ref
9
ref
8
ref
112
ref
88
ref
981
ref
appThm
974
ref
360
ref
appTerm
1974
def
refl
appThm
nil
226
ref
1974
ref
nil
cons
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
sym
77
ref
eqMp
nil
7
ref
9
ref
7
ref
112
ref
40
ref
231
ref
673
ref
appTerm
appTerm
1974
remove
appTerm
absTerm
appTerm
absTerm
appTerm
thm
559
remove
nil
556
remove
thm
nil
111
ref
146
ref
7
ref
9
ref
1894
remove
absTerm
1975
def
appTerm
1976
def
absTerm
1977
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
1976
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
1975
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
1895
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
1897
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
1978
def
nil
7
ref
1977
remove
appTerm
thm
1971
remove
nil
1968
remove
thm
nil
111
ref
112
ref
774
remove
absTerm
1979
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
775
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
777
remove
eqMp
absThm
eqMp
nil
7
ref
1979
remove
appTerm
thm
8
ref
112
ref
8
ref
1331
ref
8
ref
9
ref
88
ref
nil
9
ref
1794
ref
cons
949
ref
cons
nil
cons
cons
9
ref
40
ref
242
ref
appTerm
1796
ref
1668
ref
appTerm
1980
def
appTerm
1981
def
absTerm
1982
def
20
ref
appTerm
1983
def
betaConv
146
ref
7
ref
1982
ref
appTerm
1984
def
absTerm
1985
def
150
ref
appTerm
1986
def
betaConv
8
ref
146
ref
8
ref
9
ref
1981
remove
assume
sym
40
ref
1980
ref
appTerm
242
ref
appTerm
1987
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
nil
7
ref
146
ref
7
ref
9
ref
1987
remove
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
36
ref
7
ref
1985
ref
appTerm
nil
cons
cons
37
ref
1986
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1985
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1984
remove
nil
cons
cons
37
ref
1983
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1982
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1988
def
subst
348
ref
nil
1784
ref
37
ref
240
ref
1731
ref
appTerm
1989
def
360
ref
appTerm
1990
def
nil
cons
1991
def
cons
nil
cons
cons
nil
cons
cons
1992
def
294
ref
subst
1992
ref
58
ref
subst
1992
remove
128
ref
subst
nil
36
ref
1991
ref
cons
1993
def
nil
cons
nil
cons
cons
1046
ref
subst
sym
nil
36
ref
255
ref
1990
ref
appTerm
1994
def
nil
cons
1995
def
cons
1996
def
273
ref
cons
nil
cons
cons
1997
def
58
ref
subst
1997
remove
128
ref
subst
947
ref
nil
36
ref
946
ref
nil
cons
1998
def
cons
1999
def
273
ref
cons
nil
cons
cons
2000
def
109
ref
subst
proveHyp
nil
111
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
41
ref
47
ref
230
ref
671
ref
appTerm
2001
def
1332
ref
appTerm
2002
def
appTerm
2003
def
361
ref
appTerm
2004
def
appTerm
230
ref
673
ref
appTerm
1736
ref
appTerm
2005
def
appTerm
2006
def
absTerm
2007
def
appTerm
2008
def
absTerm
2009
def
appTerm
2010
def
absTerm
2011
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
2010
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2009
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
1331
ref
nil
71
ref
2008
remove
nil
cons
2012
def
cons
nil
cons
nil
cons
cons
78
ref
subst
274
ref
2003
ref
refl
2013
def
442
ref
appThm
nil
71
ref
2002
ref
nil
cons
2014
def
cons
nil
cons
nil
cons
cons
2015
def
554
ref
subst
trans
appThm
333
ref
687
ref
appThm
1768
ref
appThm
appThm
nil
71
ref
868
ref
172
ref
appTerm
2016
def
nil
cons
cons
nil
cons
nil
cons
cons
2017
def
1119
ref
subst
trans
sym
77
ref
eqMp
nil
36
ref
41
ref
2003
ref
461
ref
appTerm
appTerm
230
ref
698
remove
appTerm
1775
remove
appTerm
appTerm
2018
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
2006
ref
appTerm
41
ref
2003
remove
433
remove
appTerm
appTerm
230
ref
700
remove
appTerm
1778
remove
appTerm
appTerm
2019
def
appTerm
2020
def
absTerm
2021
def
appTerm
2022
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
2021
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2020
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2006
ref
nil
cons
2023
def
cons
37
ref
2019
remove
nil
cons
2024
def
cons
nil
cons
cons
nil
cons
cons
2025
def
58
ref
subst
2025
remove
128
ref
subst
274
ref
2013
remove
482
remove
appThm
2015
ref
1715
ref
subst
trans
appThm
333
ref
708
remove
appThm
1787
remove
appThm
appThm
sym
nil
36
ref
2014
ref
cons
2026
def
37
ref
230
ref
1791
ref
appTerm
1793
ref
appTerm
nil
cons
2027
def
cons
nil
cons
2028
def
cons
nil
cons
cons
2029
def
58
ref
subst
2029
remove
128
ref
subst
895
ref
47
ref
1792
remove
896
ref
appTerm
appTerm
230
ref
896
ref
appTerm
1793
ref
appTerm
appTerm
absTerm
2030
def
1790
ref
1736
ref
appTerm
2031
def
appTerm
betaConv
sym
348
ref
nil
573
ref
1794
ref
cons
2032
def
711
remove
cons
nil
cons
cons
1563
ref
subst
240
ref
957
ref
appTerm
refl
2033
def
nil
2026
ref
37
ref
40
ref
1731
ref
appTerm
2034
def
63
ref
appTerm
2035
def
nil
cons
2036
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
1795
ref
685
ref
cons
nil
cons
cons
2037
def
nil
36
ref
243
ref
nil
cons
2038
def
cons
2039
def
37
ref
40
ref
934
ref
appTerm
2040
def
63
ref
appTerm
nil
cons
2041
def
cons
nil
cons
cons
nil
cons
cons
2042
def
58
ref
subst
2042
remove
128
ref
subst
nil
71
ref
934
ref
nil
cons
2043
def
cons
nil
cons
nil
cons
cons
2044
def
78
ref
subst
2045
def
nil
2039
ref
37
ref
2043
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
9
ref
41
ref
243
ref
appTerm
2046
def
934
ref
appTerm
absTerm
2047
def
20
ref
appTerm
2048
def
betaConv
146
ref
7
ref
2047
ref
appTerm
2049
def
absTerm
2050
def
150
ref
appTerm
2051
def
betaConv
nil
7
ref
2050
ref
appTerm
2052
def
axiom
nil
36
ref
2052
remove
nil
cons
cons
37
ref
2051
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2050
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2049
remove
nil
cons
cons
37
ref
2048
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2047
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
2038
ref
cons
86
ref
2041
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
subst
eqMp
sym
77
ref
eqMp
nil
1744
ref
37
ref
40
ref
1737
ref
appTerm
2053
def
63
ref
appTerm
nil
cons
2054
def
cons
nil
cons
cons
nil
cons
cons
2055
def
109
ref
subst
proveHyp
2055
ref
58
ref
subst
2055
remove
128
ref
subst
1788
remove
nil
1744
ref
37
ref
1783
ref
cons
nil
cons
2056
def
cons
nil
cons
cons
109
ref
subst
1821
ref
20
ref
appTerm
2057
def
betaConv
1823
ref
1332
ref
appTerm
2058
def
betaConv
1825
ref
671
ref
appTerm
2059
def
betaConv
1820
remove
nil
36
ref
1826
remove
nil
cons
cons
37
ref
2059
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1825
remove
nil
cons
cons
112
ref
683
ref
cons
nil
cons
2060
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1824
remove
nil
cons
cons
37
ref
2058
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1823
remove
nil
cons
cons
112
ref
1765
ref
cons
nil
cons
2061
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1822
remove
nil
cons
cons
37
ref
2057
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
1821
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2062
def
eqMp
eqMp
eqMp
nil
1819
ref
86
ref
2054
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
appThm
nil
71
ref
958
ref
cons
nil
cons
nil
cons
cons
2063
def
697
ref
subst
trans
trans
appThm
nil
1795
remove
2032
remove
685
ref
cons
cons
nil
cons
cons
573
ref
40
ref
230
ref
1552
ref
appTerm
1827
ref
appTerm
appTerm
1567
remove
255
ref
13
ref
574
ref
appTerm
2064
def
23
ref
appTerm
2065
def
appTerm
2066
def
appTerm
appTerm
absTerm
2067
def
574
ref
appTerm
2068
def
betaConv
9
ref
7
ref
2067
ref
appTerm
2069
def
absTerm
2070
def
20
ref
appTerm
2071
def
betaConv
146
ref
7
ref
2070
ref
appTerm
2072
def
absTerm
2073
def
150
ref
appTerm
2074
def
betaConv
nil
7
ref
2073
ref
appTerm
2075
def
axiom
nil
36
ref
2075
remove
nil
cons
cons
37
ref
2074
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2073
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2072
remove
nil
cons
cons
37
ref
2071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2070
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2069
remove
nil
cons
cons
37
ref
2068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2067
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2076
def
subst
348
ref
2015
remove
78
ref
subst
2002
ref
assume
2077
def
eqMp
appThm
365
ref
1767
remove
560
ref
subst
appThm
appThm
nil
71
ref
255
ref
47
ref
1339
ref
23
ref
appTerm
2078
def
appTerm
361
ref
appTerm
2079
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
2080
def
trans
trans
appThm
2080
remove
trans
sym
nil
84
ref
2079
remove
nil
cons
2081
def
cons
2082
def
nil
cons
nil
cons
cons
296
remove
sym
2083
def
subst
nil
36
ref
2081
remove
cons
273
ref
cons
nil
cons
cons
2084
def
58
ref
subst
2084
remove
128
ref
subst
261
remove
nil
263
ref
273
ref
cons
nil
cons
cons
2085
def
109
ref
subst
proveHyp
2085
ref
58
ref
subst
2085
remove
128
ref
subst
nil
36
ref
2005
ref
nil
cons
2086
def
cons
273
ref
cons
nil
cons
cons
2087
def
58
ref
subst
2087
remove
128
ref
subst
40
ref
"_3278"
2
ref
var
2088
def
2001
ref
2088
remove
varTerm
appTerm
absTerm
2089
def
1332
ref
appTerm
2090
def
appTerm
refl
2089
ref
23
ref
appTerm
betaConv
appThm
88
ref
2090
remove
betaConv
appThm
2001
ref
23
ref
appTerm
2091
def
refl
appThm
trans
2089
remove
refl
nil
84
ref
2078
remove
nil
cons
cons
1723
ref
cons
nil
cons
cons
2092
def
100
ref
subst
2093
def
appThm
eqMp
2077
remove
eqMp
nil
36
ref
2091
ref
nil
cons
cons
2094
def
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
2095
def
nil
"_3247"
2
ref
var
2096
def
683
ref
cons
nil
cons
nil
cons
cons
nil
36
ref
230
ref
2096
remove
varTerm
2097
def
appTerm
23
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1305
ref
subst
258
remove
2097
ref
appTerm
2098
def
betaConv
nil
263
remove
37
ref
2098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
264
remove
112
ref
2097
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
84
ref
2086
ref
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
240
ref
255
ref
2002
remove
appTerm
2099
def
appTerm
360
ref
appTerm
2100
def
nil
cons
2101
def
cons
273
ref
cons
nil
cons
cons
2102
def
58
ref
subst
2102
remove
128
ref
subst
nil
667
ref
273
ref
cons
nil
cons
cons
2103
def
58
ref
subst
2103
remove
128
ref
subst
431
ref
nil
36
ref
459
ref
nil
cons
2104
def
cons
2105
def
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
2105
remove
nil
cons
nil
cons
cons
1305
ref
subst
40
ref
"_3266"
2
ref
var
2106
def
255
ref
13
ref
2106
remove
varTerm
appTerm
23
ref
appTerm
appTerm
absTerm
2107
def
20
ref
appTerm
2108
def
appTerm
refl
2107
ref
23
ref
appTerm
betaConv
appThm
88
ref
2108
remove
betaConv
appThm
461
ref
refl
appThm
trans
2107
remove
refl
780
ref
appThm
eqMp
2092
remove
293
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
781
ref
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2099
ref
nil
cons
2109
def
cons
273
ref
cons
nil
cons
cons
2110
def
58
ref
subst
2110
remove
128
ref
subst
2095
remove
nil
2094
remove
nil
cons
nil
cons
cons
1305
ref
subst
40
ref
"_3256"
2
ref
var
2111
def
255
ref
2001
ref
2111
remove
varTerm
appTerm
appTerm
absTerm
2112
def
1332
ref
appTerm
2113
def
appTerm
refl
2112
ref
23
ref
appTerm
betaConv
appThm
88
ref
2113
remove
betaConv
appThm
255
ref
2091
remove
appTerm
refl
appThm
trans
2112
remove
refl
2093
remove
appThm
eqMp
2099
remove
assume
eqMp
eqMp
eqMp
eqMp
nil
84
ref
2109
remove
cons
2114
def
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
2114
remove
842
ref
1445
ref
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
2101
remove
cons
2115
def
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2004
ref
nil
cons
cons
37
ref
2086
ref
cons
nil
cons
cons
nil
cons
cons
1302
ref
subst
251
ref
nil
2026
remove
37
ref
548
ref
cons
nil
cons
2116
def
cons
nil
cons
cons
1180
ref
subst
251
ref
365
ref
2001
ref
refl
2117
def
1332
ref
refl
2118
def
appThm
appThm
appThm
980
ref
appThm
trans
appThm
333
ref
672
ref
refl
2119
def
208
ref
appThm
appThm
1837
ref
2118
remove
appThm
2120
def
208
ref
appThm
appThm
appThm
trans
2121
def
2006
remove
assume
eqMp
nil
2115
remove
86
ref
2086
remove
cons
1445
ref
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
84
ref
262
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2082
remove
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
110
ref
111
ref
2030
ref
nil
cons
cons
112
ref
2031
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
2030
remove
appTerm
nil
cons
cons
2028
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
1793
remove
nil
cons
cons
146
ref
1791
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
573
ref
41
ref
872
ref
9
ref
1796
ref
1518
ref
appTerm
2122
def
absTerm
2123
def
appTerm
2124
def
appTerm
2125
def
575
ref
appTerm
2126
def
absTerm
2127
def
574
ref
appTerm
2128
def
betaConv
146
ref
7
ref
2127
ref
appTerm
2129
def
absTerm
2130
def
150
ref
appTerm
2131
def
betaConv
nil
7
ref
146
ref
7
ref
9
ref
7
ref
573
ref
41
ref
2122
ref
appTerm
575
ref
appTerm
absTerm
2132
def
appTerm
2133
def
absTerm
2134
def
appTerm
2135
def
absTerm
2136
def
appTerm
2137
def
axiom
nil
36
ref
2137
ref
nil
cons
2138
def
cons
2139
def
37
ref
7
ref
2130
ref
appTerm
nil
cons
2140
def
cons
nil
cons
cons
nil
cons
cons
2141
def
109
ref
subst
proveHyp
2141
ref
58
ref
subst
2141
remove
128
ref
subst
nil
111
ref
2130
remove
nil
cons
cons
2142
def
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
2129
remove
nil
cons
2143
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2127
remove
nil
cons
cons
2144
def
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
2126
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2124
remove
nil
cons
2145
def
cons
2146
def
1594
ref
cons
nil
cons
cons
2147
def
58
ref
subst
2147
remove
128
ref
subst
nil
2139
ref
1594
ref
cons
nil
cons
cons
2148
def
109
ref
subst
nil
2146
remove
37
ref
41
ref
2137
remove
appTerm
575
remove
appTerm
2149
def
nil
cons
2150
def
cons
nil
cons
2151
def
cons
nil
cons
cons
109
ref
subst
nil
111
ref
9
ref
41
ref
2123
ref
20
ref
appTerm
2152
def
appTerm
2149
ref
appTerm
2153
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2153
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2152
ref
nil
cons
2154
def
cons
2151
ref
cons
nil
cons
cons
2155
def
58
ref
subst
2155
remove
128
ref
subst
2152
ref
betaConv
2152
remove
assume
eqMp
nil
36
ref
2122
remove
nil
cons
2156
def
cons
2157
def
2151
remove
cons
nil
cons
cons
2158
def
109
ref
subst
proveHyp
2158
ref
58
ref
subst
2158
remove
128
ref
subst
2148
ref
58
ref
subst
2148
remove
128
ref
subst
nil
2157
remove
1594
remove
cons
nil
cons
cons
109
ref
subst
2132
ref
574
ref
appTerm
2159
def
betaConv
2134
ref
20
ref
appTerm
2160
def
betaConv
2136
ref
150
ref
appTerm
2161
def
betaConv
nil
2139
remove
37
ref
2161
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
2136
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2135
remove
nil
cons
cons
37
ref
2160
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2134
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2133
remove
nil
cons
cons
37
ref
2159
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2132
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
2138
remove
cons
2162
def
1611
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2156
remove
cons
86
ref
2150
remove
cons
nil
cons
2163
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2154
remove
cons
2163
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2123
ref
671
ref
appTerm
appTerm
2149
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
2125
remove
2149
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2123
remove
nil
cons
cons
2163
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
2145
remove
cons
1611
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
2162
remove
86
ref
2140
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
2140
remove
cons
37
ref
2131
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
2142
remove
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2143
remove
cons
37
ref
2128
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
2144
remove
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
84
ref
2014
remove
cons
86
ref
2027
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2023
remove
cons
86
ref
2024
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
2018
remove
appTerm
2022
remove
appTerm
nil
cons
cons
37
ref
2012
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
2007
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
2007
ref
20
ref
appTerm
betaConv
2164
def
appThm
2007
ref
152
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
2164
remove
absThm
appThm
appThm
nil
415
ref
2007
remove
nil
cons
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
2165
def
nil
36
ref
7
ref
2011
remove
appTerm
2166
def
nil
cons
2167
def
cons
2168
def
37
ref
41
ref
946
ref
appTerm
265
ref
appTerm
2169
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1996
ref
37
ref
41
ref
2166
ref
appTerm
2170
def
2169
remove
appTerm
2171
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
1784
ref
37
ref
41
ref
1994
ref
appTerm
2172
def
2171
remove
appTerm
2173
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
112
ref
1777
ref
2173
remove
appTerm
absTerm
2174
def
671
ref
appTerm
2175
def
betaConv
1331
ref
7
ref
2174
ref
appTerm
2176
def
absTerm
2177
def
1332
ref
appTerm
2178
def
betaConv
9
ref
7
ref
2177
ref
appTerm
2179
def
absTerm
2180
def
20
ref
appTerm
2181
def
betaConv
8
ref
9
ref
8
ref
1331
ref
8
ref
112
ref
1777
ref
refl
2172
ref
refl
2170
ref
refl
nil
71
ref
1998
ref
cons
nil
cons
nil
cons
cons
1042
ref
subst
2182
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
111
ref
9
ref
7
ref
1331
ref
7
ref
112
ref
1777
ref
2172
remove
2170
remove
255
ref
946
ref
appTerm
2183
def
appTerm
2184
def
appTerm
2185
def
appTerm
2186
def
absTerm
2187
def
appTerm
2188
def
absTerm
2189
def
appTerm
2190
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2190
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2189
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
1331
ref
nil
71
ref
2188
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2187
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
2186
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
1784
ref
37
ref
2185
remove
nil
cons
2191
def
cons
nil
cons
cons
nil
cons
cons
2192
def
58
ref
subst
2192
remove
128
ref
subst
nil
1996
remove
37
ref
2184
remove
nil
cons
2193
def
cons
nil
cons
cons
nil
cons
cons
2194
def
58
ref
subst
2194
remove
128
ref
subst
nil
2168
remove
37
ref
2183
remove
nil
cons
2195
def
cons
nil
cons
cons
nil
cons
cons
2196
def
58
ref
subst
2196
remove
128
ref
subst
2182
remove
2000
ref
58
ref
subst
2000
remove
128
ref
subst
nil
1744
ref
37
ref
637
ref
cons
nil
cons
2197
def
cons
nil
cons
cons
nil
1100
ref
37
ref
40
ref
255
ref
240
ref
42
ref
appTerm
2198
def
44
ref
appTerm
appTerm
appTerm
47
ref
1036
remove
appTerm
2199
def
1101
ref
appTerm
appTerm
nil
cons
2200
def
cons
nil
cons
2201
def
cons
nil
cons
cons
2202
def
58
ref
subst
2202
remove
128
ref
subst
40
ref
"_534"
3
ref
var
2203
def
40
ref
255
ref
240
ref
2203
remove
varTerm
2204
def
appTerm
44
ref
appTerm
appTerm
appTerm
47
ref
255
ref
2204
remove
appTerm
appTerm
1101
ref
appTerm
appTerm
absTerm
2205
def
42
ref
appTerm
2206
def
appTerm
refl
2207
def
2205
ref
265
ref
appTerm
betaConv
appThm
88
ref
2206
remove
betaConv
appThm
2208
def
40
ref
255
ref
738
ref
44
ref
appTerm
appTerm
appTerm
1354
ref
1101
ref
appTerm
appTerm
refl
appThm
trans
2205
remove
refl
2209
def
1115
ref
appThm
eqMp
sym
88
ref
365
ref
1298
ref
appThm
appThm
1356
ref
1166
ref
appThm
1141
ref
trans
appThm
1142
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1124
ref
86
ref
2200
ref
cons
nil
cons
2210
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1128
ref
2201
remove
cons
nil
cons
cons
2211
def
58
ref
subst
2211
remove
128
ref
subst
2207
remove
"_532"
3
ref
var
2212
def
40
ref
255
ref
240
ref
2212
remove
varTerm
2213
def
appTerm
44
ref
appTerm
appTerm
appTerm
47
ref
255
ref
2213
remove
appTerm
appTerm
1101
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2208
remove
40
ref
255
ref
311
ref
44
ref
appTerm
appTerm
appTerm
1363
ref
1101
ref
appTerm
appTerm
refl
appThm
trans
2209
remove
1135
ref
appThm
eqMp
sym
88
ref
365
ref
1291
remove
appThm
441
ref
trans
appThm
1364
ref
1166
remove
appThm
1123
ref
trans
appThm
455
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1143
ref
2210
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1145
ref
nil
1143
ref
1146
ref
757
ref
2200
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
1994
remove
assume
eqMp
2214
def
nil
84
ref
255
ref
1731
ref
appTerm
nil
cons
cons
1723
ref
cons
nil
cons
cons
2215
def
293
ref
subst
proveHyp
nil
782
ref
37
ref
255
ref
230
ref
1736
ref
appTerm
673
ref
appTerm
appTerm
2216
def
nil
cons
cons
nil
cons
2217
def
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
1784
remove
2217
remove
cons
nil
cons
cons
109
ref
subst
nil
"_3312"
2
ref
var
2218
def
1794
ref
cons
"_3311"
2
ref
var
2219
def
709
remove
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
255
ref
349
ref
2219
remove
varTerm
2220
def
appTerm
2221
def
2218
remove
varTerm
2222
def
appTerm
2223
def
appTerm
nil
cons
2224
def
cons
1211
ref
255
ref
230
ref
2222
ref
appTerm
2220
ref
appTerm
appTerm
2225
def
nil
cons
2226
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
274
ref
nil
1211
ref
2223
remove
nil
cons
cons
nil
cons
nil
cons
cons
1366
ref
subst
appThm
2225
remove
refl
appThm
trans
nil
37
ref
2226
remove
cons
36
ref
2224
remove
cons
nil
cons
cons
nil
cons
cons
1274
ref
subst
9
ref
240
ref
255
ref
2221
remove
20
ref
appTerm
appTerm
appTerm
255
ref
320
ref
2220
ref
appTerm
appTerm
appTerm
absTerm
2227
def
2222
ref
appTerm
2228
def
betaConv
146
ref
7
ref
9
ref
240
ref
935
ref
appTerm
2229
def
255
ref
932
ref
appTerm
2230
def
appTerm
absTerm
2231
def
appTerm
absTerm
2232
def
2220
ref
appTerm
2233
def
betaConv
8
ref
146
ref
8
ref
9
ref
nil
36
ref
935
ref
nil
cons
2234
def
cons
2235
def
37
ref
932
ref
nil
cons
2236
def
cons
nil
cons
cons
nil
cons
cons
nil
1100
ref
37
ref
40
ref
276
ref
appTerm
47
ref
2198
ref
1101
ref
appTerm
appTerm
1279
remove
appTerm
appTerm
nil
cons
2237
def
cons
nil
cons
2238
def
cons
nil
cons
cons
2239
def
58
ref
subst
2239
remove
128
ref
subst
40
ref
"_554"
3
ref
var
2240
def
40
ref
40
ref
2240
remove
varTerm
2241
def
appTerm
44
ref
appTerm
appTerm
47
ref
240
ref
2241
ref
appTerm
1101
ref
appTerm
appTerm
240
ref
255
ref
2241
remove
appTerm
appTerm
44
ref
appTerm
appTerm
appTerm
absTerm
2242
def
42
ref
appTerm
2243
def
appTerm
refl
2244
def
2242
ref
265
ref
appTerm
betaConv
appThm
88
ref
2243
remove
betaConv
appThm
2245
def
40
ref
303
ref
44
ref
appTerm
2246
def
appTerm
47
ref
738
ref
1101
ref
appTerm
appTerm
1289
remove
appTerm
appTerm
refl
appThm
trans
2242
remove
refl
2247
def
1115
ref
appThm
eqMp
sym
88
ref
81
ref
452
ref
subst
2248
def
appThm
348
ref
1179
remove
appThm
1292
remove
appThm
1122
ref
1715
ref
subst
trans
appThm
1142
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1124
ref
86
ref
2237
ref
cons
nil
cons
2249
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1128
ref
2238
remove
cons
nil
cons
cons
2250
def
58
ref
subst
2250
remove
128
ref
subst
2244
remove
"_552"
3
ref
var
2251
def
40
ref
40
ref
2251
remove
varTerm
2252
def
appTerm
44
ref
appTerm
appTerm
47
ref
240
ref
2252
ref
appTerm
1101
ref
appTerm
appTerm
240
ref
255
ref
2252
remove
appTerm
appTerm
44
ref
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2245
remove
40
ref
484
ref
44
ref
appTerm
2253
def
appTerm
47
ref
311
ref
1101
ref
appTerm
appTerm
1297
remove
appTerm
appTerm
refl
appThm
trans
2247
remove
1135
ref
appThm
eqMp
sym
88
ref
81
ref
488
ref
subst
2254
def
appThm
348
ref
1167
remove
appThm
1299
remove
appThm
1173
ref
trans
appThm
1301
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1143
ref
2249
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1145
ref
nil
1143
ref
1146
ref
757
ref
2237
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
2255
def
subst
348
ref
251
ref
935
ref
refl
appThm
2256
def
2230
ref
refl
2257
def
appThm
appThm
251
ref
nil
36
ref
2043
ref
cons
2258
def
nil
cons
nil
cons
cons
1043
ref
subst
appThm
932
ref
refl
2259
def
appThm
appThm
trans
absThm
appThm
absThm
appThm
8
ref
146
ref
88
ref
8
ref
9
ref
348
ref
2231
ref
20
ref
appTerm
betaConv
2260
def
appThm
9
ref
240
ref
934
ref
appTerm
2261
def
932
ref
appTerm
absTerm
2262
def
20
ref
appTerm
betaConv
2263
def
appThm
absThm
appThm
appThm
348
ref
8
ref
9
ref
2260
remove
absThm
appThm
appThm
8
ref
9
ref
2263
remove
absThm
appThm
appThm
appThm
nil
415
ref
2231
remove
nil
cons
cons
1741
ref
2262
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
210
ref
1746
ref
40
ref
118
ref
123
ref
47
ref
644
ref
appTerm
2264
def
1748
ref
appTerm
absTerm
appTerm
2265
def
appTerm
47
ref
1086
remove
appTerm
1750
remove
appTerm
2266
def
appTerm
absTerm
2267
def
1747
ref
appTerm
2268
def
betaConv
130
ref
656
ref
2267
ref
appTerm
2269
def
absTerm
2270
def
131
ref
appTerm
2271
def
betaConv
nil
656
ref
2270
ref
appTerm
2272
def
axiom
nil
36
ref
2272
remove
nil
cons
cons
37
ref
2271
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2270
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2269
remove
nil
cons
cons
37
ref
2268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2267
remove
nil
cons
cons
1757
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
2273
def
subst
eqMp
absThm
appThm
88
ref
8
ref
146
ref
348
ref
2232
ref
150
ref
appTerm
betaConv
2274
def
appThm
146
ref
7
ref
2262
remove
appTerm
absTerm
2275
def
150
ref
appTerm
betaConv
2276
def
appThm
absThm
appThm
appThm
348
ref
8
ref
146
ref
2274
remove
absThm
appThm
appThm
8
ref
146
ref
2276
remove
absThm
appThm
appThm
appThm
nil
415
ref
2232
ref
nil
cons
2277
def
cons
1741
ref
2275
ref
nil
cons
2278
def
cons
nil
cons
cons
nil
cons
cons
2273
ref
subst
eqMp
trans
trans
946
remove
assume
eqMp
2279
def
nil
84
ref
7
ref
2232
remove
appTerm
nil
cons
2280
def
cons
86
ref
7
ref
2275
ref
appTerm
nil
cons
2281
def
cons
nil
cons
cons
nil
cons
cons
2282
def
100
ref
subst
proveHyp
nil
36
ref
2280
remove
cons
37
ref
2233
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2277
remove
cons
112
ref
2220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
2227
ref
appTerm
nil
cons
cons
37
ref
2228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2227
remove
nil
cons
cons
112
ref
2222
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
36
ref
923
ref
2216
remove
appTerm
nil
cons
cons
37
ref
255
ref
230
ref
1332
ref
appTerm
671
ref
appTerm
appTerm
nil
cons
2283
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3309"
2
ref
var
2284
def
683
ref
cons
"_3308"
2
ref
var
2285
def
1765
ref
cons
"_3310"
2
ref
var
2286
def
113
ref
cons
nil
cons
cons
cons
nil
cons
cons
nil
1208
ref
240
ref
13
ref
2286
remove
varTerm
2287
def
appTerm
23
ref
appTerm
2288
def
appTerm
230
ref
19
ref
2285
remove
varTerm
2289
def
appTerm
2290
def
2287
ref
appTerm
appTerm
19
ref
2284
remove
varTerm
2291
def
appTerm
2292
def
2287
ref
appTerm
appTerm
2293
def
appTerm
nil
cons
cons
1211
ref
255
ref
230
ref
2289
ref
appTerm
2294
def
2291
ref
appTerm
appTerm
2295
def
nil
cons
2296
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
274
ref
nil
1208
ref
2293
remove
nil
cons
2297
def
cons
1211
ref
2288
remove
nil
cons
2298
def
cons
nil
cons
cons
nil
cons
cons
1365
ref
subst
appThm
2295
ref
refl
appThm
trans
nil
956
ref
2296
remove
cons
955
ref
2298
remove
cons
1368
remove
2297
remove
cons
nil
cons
cons
cons
nil
cons
cons
1385
ref
1371
remove
appTerm
2299
def
betaConv
1387
ref
961
ref
appTerm
2300
def
betaConv
1389
ref
960
ref
appTerm
2301
def
betaConv
1391
remove
nil
36
ref
1390
remove
nil
cons
cons
37
ref
2301
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1389
remove
nil
cons
cons
970
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1388
remove
nil
cons
cons
37
ref
2300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1387
remove
nil
cons
cons
971
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1386
remove
nil
cons
cons
37
ref
2299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
1385
remove
nil
cons
cons
1392
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
9
ref
240
ref
240
ref
2295
remove
appTerm
360
ref
appTerm
appTerm
230
ref
2290
remove
20
ref
appTerm
appTerm
2302
def
2292
remove
20
ref
appTerm
appTerm
appTerm
absTerm
2303
def
2287
ref
appTerm
2304
def
betaConv
1331
ref
7
ref
9
ref
240
ref
240
ref
255
ref
2294
remove
1332
ref
appTerm
appTerm
appTerm
360
ref
appTerm
appTerm
2302
remove
1736
ref
appTerm
appTerm
absTerm
appTerm
absTerm
2305
def
2291
ref
appTerm
2306
def
betaConv
112
ref
7
ref
1331
ref
7
ref
9
ref
240
ref
2100
remove
appTerm
2005
ref
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2307
def
2289
ref
appTerm
2308
def
betaConv
8
ref
112
ref
8
ref
1331
ref
8
ref
9
ref
2121
remove
absThm
appThm
absThm
appThm
absThm
appThm
2166
ref
assume
eqMp
nil
36
ref
7
ref
2307
ref
appTerm
nil
cons
cons
37
ref
2308
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2307
remove
nil
cons
cons
112
ref
2289
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
2305
ref
appTerm
nil
cons
cons
37
ref
2306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2305
remove
nil
cons
cons
112
ref
2291
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
2303
ref
appTerm
nil
cons
cons
37
ref
2304
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2303
remove
nil
cons
cons
112
ref
2287
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
36
ref
2283
remove
cons
37
ref
1743
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3313"
2
ref
var
2309
def
683
ref
cons
"_3314"
2
ref
var
2310
def
1765
remove
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
230
ref
2310
remove
varTerm
2311
def
appTerm
2309
remove
varTerm
2312
def
appTerm
nil
cons
cons
1211
ref
349
ref
2312
ref
appTerm
2313
def
2311
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
9
ref
240
ref
2313
remove
20
ref
appTerm
appTerm
320
ref
2312
ref
appTerm
appTerm
absTerm
2314
def
2311
ref
appTerm
2315
def
betaConv
2275
remove
2312
ref
appTerm
2316
def
betaConv
2279
remove
2282
remove
293
ref
subst
proveHyp
nil
36
ref
2281
remove
cons
37
ref
2316
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2278
remove
cons
112
ref
2312
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
2314
ref
appTerm
nil
cons
cons
37
ref
2315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2314
remove
nil
cons
cons
112
ref
2311
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
nil
1744
remove
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1745
remove
nil
cons
cons
1305
ref
subst
2214
remove
2215
remove
100
ref
subst
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
1998
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2167
remove
cons
86
ref
2195
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
1995
remove
cons
2317
def
86
ref
2193
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
1818
ref
86
ref
2191
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
7
ref
2180
ref
appTerm
nil
cons
cons
37
ref
2181
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2180
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2179
remove
nil
cons
cons
37
ref
2178
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2177
remove
nil
cons
cons
2061
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2176
remove
nil
cons
cons
37
ref
2175
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2174
remove
nil
cons
cons
2060
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2317
remove
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1818
remove
86
ref
1991
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1777
remove
1990
ref
appTerm
nil
cons
cons
37
ref
41
ref
1990
ref
appTerm
1737
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
1993
remove
2056
ref
cons
nil
cons
cons
2318
def
58
ref
subst
2318
remove
128
ref
subst
nil
667
remove
2056
remove
cons
nil
cons
cons
2319
def
58
ref
subst
2319
remove
128
ref
subst
350
ref
2119
ref
780
ref
appThm
687
remove
trans
appThm
2120
remove
780
remove
appThm
1768
remove
trans
appThm
1774
ref
trans
sym
77
ref
eqMp
eqMp
nil
781
remove
86
ref
1783
ref
cons
nil
cons
2320
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
2062
remove
nil
1819
remove
842
remove
757
ref
1783
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
1991
remove
cons
2320
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
2321
def
1989
ref
refl
149
remove
1988
ref
subst
2322
def
appThm
trans
appThm
nil
1331
ref
683
ref
cons
2061
remove
cons
nil
cons
cons
2321
ref
subst
2323
def
240
ref
349
ref
1332
ref
appTerm
671
ref
appTerm
2324
def
appTerm
2325
def
refl
2326
def
2322
ref
appThm
trans
appThm
trans
appThm
251
ref
2037
remove
1988
ref
subst
appThm
2322
ref
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
111
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
40
ref
47
ref
1989
remove
47
ref
576
ref
23
ref
appTerm
2327
def
appTerm
1658
ref
appTerm
2328
def
appTerm
appTerm
2325
ref
2328
ref
appTerm
2329
def
appTerm
appTerm
240
ref
1789
remove
2324
ref
appTerm
appTerm
2328
ref
appTerm
appTerm
2330
def
absTerm
2331
def
appTerm
2332
def
absTerm
2333
def
appTerm
2334
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
2334
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2333
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
1331
ref
nil
71
ref
2332
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2331
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2330
remove
nil
cons
2335
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2034
remove
265
ref
appTerm
2336
def
nil
cons
2337
def
cons
37
ref
2335
ref
cons
nil
cons
2338
def
cons
nil
cons
cons
2339
def
58
ref
subst
2339
remove
128
ref
subst
40
ref
"_3331"
3
ref
var
2340
def
40
ref
47
ref
240
ref
2340
remove
varTerm
2341
def
appTerm
2328
ref
appTerm
appTerm
2329
ref
appTerm
appTerm
240
ref
47
ref
2341
remove
appTerm
2324
ref
appTerm
appTerm
2328
ref
appTerm
appTerm
absTerm
2342
def
1731
ref
appTerm
2343
def
appTerm
refl
2344
def
2342
ref
265
ref
appTerm
betaConv
appThm
88
ref
2343
remove
betaConv
appThm
2345
def
40
ref
47
ref
738
ref
2328
ref
appTerm
appTerm
2329
ref
appTerm
appTerm
240
ref
516
ref
2324
ref
appTerm
appTerm
2328
ref
appTerm
appTerm
refl
appThm
trans
2342
remove
refl
2346
def
2336
remove
assume
appThm
eqMp
sym
88
ref
348
ref
nil
71
ref
2328
ref
nil
cons
2347
def
cons
nil
cons
nil
cons
cons
2348
def
1178
ref
subst
2349
def
appThm
2329
ref
refl
2350
def
appThm
appThm
251
ref
nil
71
ref
2324
ref
nil
cons
2351
def
cons
nil
cons
nil
cons
cons
2352
def
520
ref
subst
2353
def
appThm
2328
ref
refl
2354
def
appThm
2349
remove
trans
appThm
sym
nil
36
ref
40
ref
2327
ref
appTerm
2355
def
265
ref
appTerm
2356
def
nil
cons
2357
def
cons
37
ref
40
ref
47
ref
2328
ref
appTerm
2329
ref
appTerm
appTerm
2328
ref
appTerm
nil
cons
2358
def
cons
nil
cons
2359
def
cons
nil
cons
cons
2360
def
58
ref
subst
2360
remove
128
ref
subst
40
ref
"_3335"
3
ref
var
2361
def
40
ref
47
ref
47
ref
2361
remove
varTerm
appTerm
1658
ref
appTerm
2362
def
appTerm
2325
ref
2362
ref
appTerm
appTerm
appTerm
2362
remove
appTerm
absTerm
2363
def
2327
ref
appTerm
2364
def
appTerm
refl
2365
def
2363
ref
265
ref
appTerm
betaConv
appThm
88
ref
2364
remove
betaConv
appThm
2366
def
40
ref
47
ref
516
ref
1658
ref
appTerm
2367
def
appTerm
2325
ref
2367
ref
appTerm
appTerm
appTerm
2367
remove
appTerm
refl
appThm
trans
2363
remove
refl
2368
def
2356
remove
assume
appThm
eqMp
sym
88
ref
348
ref
1660
ref
520
ref
subst
2369
def
appThm
2326
ref
2369
ref
appThm
2352
ref
724
ref
subst
trans
appThm
2353
remove
trans
appThm
2369
remove
appThm
455
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
2357
ref
cons
86
ref
2358
ref
cons
nil
cons
2370
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2355
remove
63
ref
appTerm
2371
def
nil
cons
2372
def
cons
2359
remove
cons
nil
cons
cons
2373
def
58
ref
subst
2373
remove
128
ref
subst
2365
remove
"_3333"
3
ref
var
2374
def
40
ref
47
ref
47
ref
2374
remove
varTerm
appTerm
1658
ref
appTerm
2375
def
appTerm
2325
ref
2375
ref
appTerm
appTerm
appTerm
2375
remove
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2366
remove
40
ref
47
ref
443
ref
1658
ref
appTerm
2376
def
appTerm
2325
ref
2376
ref
appTerm
appTerm
appTerm
2376
remove
appTerm
refl
appThm
trans
2368
remove
2371
remove
assume
appThm
eqMp
sym
88
ref
348
ref
1660
remove
447
ref
subst
2377
def
appThm
2326
remove
2377
ref
appThm
appThm
appThm
2377
remove
appThm
sym
nil
36
ref
40
ref
1658
ref
appTerm
2378
def
265
ref
appTerm
2379
def
nil
cons
2380
def
cons
37
ref
40
ref
47
ref
1658
ref
appTerm
2325
ref
1658
ref
appTerm
appTerm
appTerm
1658
ref
appTerm
nil
cons
2381
def
cons
nil
cons
2382
def
cons
nil
cons
cons
2383
def
58
ref
subst
2383
remove
128
ref
subst
40
ref
"_3339"
3
ref
var
2384
def
40
ref
47
ref
2384
remove
varTerm
2385
def
appTerm
2325
ref
2385
ref
appTerm
appTerm
appTerm
2385
remove
appTerm
absTerm
2386
def
1658
ref
appTerm
2387
def
appTerm
refl
2388
def
2386
ref
265
ref
appTerm
betaConv
appThm
88
ref
2387
remove
betaConv
appThm
2389
def
40
ref
516
ref
2325
ref
265
ref
appTerm
2390
def
appTerm
appTerm
265
ref
appTerm
refl
appThm
trans
2386
remove
refl
2391
def
2379
remove
assume
appThm
eqMp
sym
nil
71
ref
2390
remove
nil
cons
cons
nil
cons
nil
cons
cons
520
ref
subst
eqMp
eqMp
nil
84
ref
2380
ref
cons
86
ref
2381
ref
cons
nil
cons
2392
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2378
remove
63
ref
appTerm
2393
def
nil
cons
2394
def
cons
2382
remove
cons
nil
cons
cons
2395
def
58
ref
subst
2395
remove
128
ref
subst
2388
remove
"_3337"
3
ref
var
2396
def
40
ref
47
ref
2396
remove
varTerm
2397
def
appTerm
2325
ref
2397
ref
appTerm
appTerm
appTerm
2397
remove
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2389
remove
40
ref
443
ref
2325
remove
63
ref
appTerm
2398
def
appTerm
appTerm
63
ref
appTerm
refl
appThm
trans
2391
remove
2393
remove
assume
appThm
eqMp
sym
nil
71
ref
2398
remove
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
2352
ref
697
ref
subst
trans
eqMp
eqMp
nil
84
ref
2394
remove
cons
2399
def
2392
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
1658
remove
appTerm
2400
def
betaConv
754
ref
nil
755
ref
37
ref
2400
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
1659
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
2399
remove
86
ref
2380
remove
cons
757
ref
2381
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
2372
remove
cons
2401
def
2370
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
2327
ref
appTerm
2402
def
betaConv
754
ref
nil
755
ref
37
ref
2402
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
2327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
2401
remove
86
ref
2357
remove
cons
757
ref
2358
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
2337
ref
cons
86
ref
2335
ref
cons
nil
cons
2403
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2036
ref
cons
2338
remove
cons
nil
cons
cons
2404
def
58
ref
subst
2404
remove
128
ref
subst
2344
remove
"_3329"
3
ref
var
2405
def
40
ref
47
ref
240
ref
2405
remove
varTerm
2406
def
appTerm
2328
ref
appTerm
appTerm
2329
ref
appTerm
appTerm
240
ref
47
ref
2406
remove
appTerm
2324
ref
appTerm
appTerm
2328
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2345
remove
40
ref
47
ref
311
ref
2328
ref
appTerm
appTerm
2329
ref
appTerm
appTerm
240
ref
443
ref
2324
ref
appTerm
appTerm
2328
ref
appTerm
appTerm
refl
appThm
trans
2346
remove
2035
remove
assume
appThm
eqMp
sym
88
ref
348
ref
2348
ref
315
ref
subst
appThm
2350
remove
appThm
nil
71
ref
2329
remove
nil
cons
2407
def
cons
nil
cons
nil
cons
cons
447
ref
subst
trans
appThm
251
ref
2352
remove
447
ref
subst
appThm
2354
ref
appThm
appThm
nil
226
ref
2407
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
2036
remove
cons
2408
def
2403
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
1731
remove
appTerm
2409
def
betaConv
754
ref
nil
755
ref
37
ref
2409
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
1743
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
2408
remove
86
ref
2337
remove
cons
757
ref
2335
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
7
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
40
ref
674
remove
1736
remove
appTerm
appTerm
240
ref
1333
remove
appTerm
360
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
nil
111
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
2053
remove
1990
remove
appTerm
2410
def
absTerm
2411
def
appTerm
2412
def
absTerm
2413
def
appTerm
2414
def
absTerm
2415
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
2414
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2413
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
1331
ref
nil
71
ref
2412
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
2411
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2410
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
2321
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
2415
remove
appTerm
thm
8
ref
112
ref
8
ref
1331
ref
8
ref
9
ref
88
ref
nil
146
ref
1794
remove
cons
710
ref
nil
cons
2416
def
cons
nil
cons
cons
948
ref
subst
365
ref
2323
remove
appThm
nil
955
ref
637
ref
cons
956
ref
2351
remove
cons
nil
cons
cons
nil
cons
cons
955
ref
40
ref
255
ref
1266
remove
appTerm
appTerm
47
ref
962
remove
appTerm
963
remove
appTerm
appTerm
absTerm
2417
def
961
remove
appTerm
2418
def
betaConv
956
ref
222
ref
2417
ref
appTerm
2419
def
absTerm
2420
def
960
remove
appTerm
2421
def
betaConv
nil
222
ref
2420
ref
appTerm
2422
def
axiom
nil
36
ref
2422
remove
nil
cons
cons
37
ref
2421
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2420
remove
nil
cons
cons
970
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2419
remove
nil
cons
cons
37
ref
2418
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2417
remove
nil
cons
cons
971
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2423
def
subst
trans
trans
appThm
348
ref
nil
1766
remove
9
ref
683
ref
cons
2424
def
nil
cons
2425
def
cons
nil
cons
cons
948
ref
subst
appThm
547
ref
appThm
appThm
nil
226
ref
47
ref
255
ref
2324
remove
appTerm
appTerm
361
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
sym
77
ref
eqMp
nil
7
ref
112
ref
7
ref
1331
ref
7
ref
9
ref
40
ref
2005
remove
appTerm
2004
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
thm
2165
remove
nil
2166
remove
thm
nil
111
ref
9
ref
41
ref
7
ref
146
ref
2046
ref
40
ref
872
ref
867
ref
872
ref
"m'"
2
ref
var
2426
def
47
ref
789
ref
2426
ref
varTerm
2427
def
appTerm
2428
def
appTerm
2429
def
241
ref
154
ref
317
ref
869
ref
appTerm
2430
def
appTerm
2431
def
2427
ref
appTerm
2432
def
appTerm
2433
def
appTerm
2434
def
absTerm
2435
def
appTerm
absTerm
2436
def
appTerm
2437
def
appTerm
255
ref
367
ref
appTerm
2438
def
appTerm
2439
def
appTerm
absTerm
appTerm
2440
def
appTerm
2441
def
40
ref
872
ref
867
ref
872
ref
146
ref
827
ref
359
ref
2431
ref
150
ref
appTerm
2442
def
appTerm
2443
def
appTerm
2444
def
absTerm
2445
def
appTerm
absTerm
2446
def
appTerm
2447
def
appTerm
361
ref
appTerm
2448
def
appTerm
2449
def
absTerm
2450
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2449
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2440
ref
nil
cons
2451
def
cons
2452
def
37
ref
2448
ref
nil
cons
2453
def
cons
nil
cons
2454
def
cons
nil
cons
cons
2455
def
58
ref
subst
2455
remove
128
ref
subst
nil
36
ref
801
ref
nil
cons
2456
def
cons
2457
def
2454
ref
cons
nil
cons
cons
2458
def
58
ref
subst
2458
remove
128
ref
subst
nil
36
ref
2453
ref
cons
nil
cons
nil
cons
cons
1046
ref
subst
sym
nil
36
ref
255
ref
2448
ref
appTerm
2459
def
nil
cons
2460
def
cons
2461
def
273
ref
cons
nil
cons
cons
2462
def
58
ref
subst
2462
remove
128
ref
subst
810
remove
nil
812
remove
37
ref
807
remove
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
806
remove
eqMp
nil
36
ref
47
ref
809
ref
appTerm
805
remove
appTerm
2463
def
nil
cons
2464
def
cons
273
ref
cons
nil
cons
cons
2465
def
109
ref
subst
proveHyp
2466
def
176
remove
nil
178
ref
37
ref
164
ref
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
163
remove
eqMp
nil
36
ref
47
ref
175
remove
appTerm
162
remove
appTerm
2467
def
nil
cons
2468
def
cons
2469
def
37
ref
41
ref
2463
ref
appTerm
265
ref
appTerm
2470
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
348
ref
8
ref
9
ref
14
ref
480
ref
appThm
431
ref
appThm
253
ref
trans
absThm
appThm
229
ref
trans
appThm
348
ref
8
ref
146
ref
14
ref
201
ref
appThm
431
ref
appThm
253
ref
trans
absThm
appThm
229
ref
trans
appThm
348
ref
8
ref
9
ref
14
ref
616
ref
appThm
208
ref
appThm
216
remove
trans
absThm
appThm
229
ref
trans
appThm
348
ref
8
ref
146
ref
14
ref
1865
ref
appThm
150
ref
refl
2471
def
appThm
nil
166
ref
nil
cons
cons
215
ref
subst
trans
absThm
appThm
229
ref
trans
appThm
348
ref
8
ref
146
ref
8
ref
9
ref
14
ref
537
remove
appThm
530
ref
refl
appThm
nil
112
ref
530
remove
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
ref
trans
appThm
8
ref
146
ref
8
ref
9
ref
14
ref
195
remove
appThm
186
ref
refl
appThm
nil
112
ref
186
remove
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
absThm
appThm
229
ref
trans
absThm
appThm
229
remove
trans
appThm
483
ref
trans
appThm
483
ref
trans
appThm
483
ref
trans
appThm
483
ref
trans
appThm
483
ref
trans
sym
77
ref
eqMp
nil
36
ref
47
ref
478
remove
appTerm
47
ref
199
remove
appTerm
47
ref
7
ref
9
ref
13
ref
611
ref
20
ref
appTerm
2472
def
appTerm
2473
def
20
ref
appTerm
2474
def
absTerm
2475
def
appTerm
2476
def
appTerm
47
ref
1864
remove
appTerm
47
ref
536
remove
appTerm
193
remove
appTerm
appTerm
2477
def
appTerm
2478
def
appTerm
2479
def
appTerm
2480
def
nil
cons
2481
def
cons
2482
def
37
ref
41
ref
2467
remove
appTerm
2483
def
2470
remove
appTerm
2484
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
2461
ref
37
ref
41
ref
2480
remove
appTerm
2485
def
2484
remove
appTerm
2486
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
2457
ref
37
ref
41
ref
2459
ref
appTerm
2487
def
2486
remove
appTerm
2488
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
2452
ref
37
ref
41
ref
801
ref
appTerm
2489
def
2488
remove
appTerm
2490
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
9
ref
2441
ref
2490
remove
appTerm
absTerm
2491
def
20
ref
appTerm
2492
def
betaConv
8
ref
9
ref
2441
ref
refl
2489
ref
refl
2487
ref
refl
2485
ref
refl
2483
ref
refl
nil
71
ref
2464
ref
cons
nil
cons
nil
cons
cons
1042
ref
subst
2493
def
appThm
appThm
appThm
appThm
appThm
absThm
appThm
sym
nil
111
ref
9
ref
2441
remove
2489
remove
2487
remove
2485
remove
2483
remove
255
ref
2463
ref
appTerm
2494
def
appTerm
2495
def
appTerm
2496
def
appTerm
2497
def
appTerm
2498
def
appTerm
2499
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
2499
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
2452
remove
37
ref
2498
remove
nil
cons
2500
def
cons
nil
cons
cons
nil
cons
cons
2501
def
58
ref
subst
2501
remove
128
ref
subst
nil
2457
ref
37
ref
2497
remove
nil
cons
2502
def
cons
nil
cons
cons
nil
cons
cons
2503
def
58
ref
subst
2503
remove
128
ref
subst
nil
2461
remove
37
ref
2496
remove
nil
cons
2504
def
cons
nil
cons
cons
nil
cons
cons
2505
def
58
ref
subst
2505
remove
128
ref
subst
nil
2482
remove
37
ref
2495
remove
nil
cons
2506
def
cons
nil
cons
cons
nil
cons
cons
2507
def
58
ref
subst
2507
remove
128
ref
subst
nil
2469
remove
37
ref
2494
remove
nil
cons
2508
def
cons
nil
cons
cons
nil
cons
cons
2509
def
58
ref
subst
2509
remove
128
ref
subst
2493
remove
2465
ref
58
ref
subst
2510
def
2465
remove
128
ref
subst
2511
def
nil
36
ref
2447
remove
nil
cons
cons
2116
remove
cons
nil
cons
cons
nil
1100
remove
37
ref
40
ref
255
ref
276
remove
appTerm
appTerm
240
ref
1102
remove
appTerm
2199
remove
44
ref
appTerm
appTerm
appTerm
nil
cons
2512
def
cons
nil
cons
2513
def
cons
nil
cons
cons
2514
def
58
ref
subst
2514
remove
128
ref
subst
40
ref
"_550"
3
ref
var
2515
def
40
ref
255
ref
40
ref
2515
remove
varTerm
2516
def
appTerm
44
ref
appTerm
appTerm
appTerm
240
ref
47
ref
2516
ref
appTerm
1101
ref
appTerm
appTerm
47
ref
255
ref
2516
remove
appTerm
appTerm
44
ref
appTerm
appTerm
appTerm
absTerm
2517
def
42
ref
appTerm
2518
def
appTerm
refl
2519
def
2517
ref
265
ref
appTerm
betaConv
appThm
88
ref
2518
remove
betaConv
appThm
2520
def
40
ref
255
ref
2246
remove
appTerm
appTerm
240
ref
1113
remove
appTerm
1354
remove
44
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2517
remove
refl
2521
def
1115
remove
appThm
eqMp
sym
88
ref
365
ref
2248
remove
appThm
81
remove
979
ref
subst
trans
appThm
251
ref
1123
remove
appThm
1356
remove
53
ref
appThm
1173
remove
trans
appThm
1298
remove
trans
appThm
1301
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1124
remove
86
ref
2512
ref
cons
nil
cons
2522
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1128
remove
2513
remove
cons
nil
cons
cons
2523
def
58
ref
subst
2523
remove
128
ref
subst
2519
remove
"_548"
3
ref
var
2524
def
40
ref
255
ref
40
ref
2524
remove
varTerm
2525
def
appTerm
44
ref
appTerm
appTerm
appTerm
240
ref
47
ref
2525
ref
appTerm
1101
remove
appTerm
appTerm
47
ref
255
ref
2525
remove
appTerm
appTerm
44
ref
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2520
remove
40
ref
255
ref
2253
remove
appTerm
appTerm
240
ref
1134
remove
appTerm
1363
remove
44
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2521
remove
1135
remove
appThm
eqMp
sym
88
ref
365
ref
2254
remove
appThm
appThm
251
ref
1141
remove
appThm
1364
remove
53
remove
appThm
1164
remove
trans
appThm
1122
remove
724
ref
subst
trans
appThm
1142
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1143
ref
2522
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1145
remove
nil
1143
remove
1146
remove
757
ref
2512
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
251
ref
348
ref
912
ref
867
ref
912
ref
146
ref
834
remove
2443
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
980
remove
appThm
appThm
348
ref
nil
111
ref
2446
ref
nil
cons
2526
def
cons
nil
cons
nil
cons
cons
210
ref
88
ref
365
ref
990
ref
refl
1082
remove
appThm
appThm
appThm
118
ref
1083
remove
appTerm
refl
appThm
sym
1084
remove
130
ref
40
ref
255
ref
990
ref
1085
remove
appTerm
2527
def
appTerm
appTerm
118
ref
1087
remove
appTerm
appTerm
absTerm
2528
def
131
ref
appTerm
2529
def
betaConv
nil
656
ref
2528
ref
appTerm
2530
def
axiom
nil
36
ref
2530
remove
nil
cons
cons
37
ref
2529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2528
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
subst
2531
def
subst
8
ref
867
ref
365
ref
2446
remove
869
ref
appTerm
betaConv
2532
def
appThm
nil
111
ref
2445
ref
nil
cons
2533
def
cons
nil
cons
nil
cons
cons
2531
ref
subst
8
ref
146
ref
365
ref
2445
remove
150
ref
appTerm
betaConv
2534
def
appThm
nil
840
remove
37
ref
2443
ref
nil
cons
2535
def
cons
nil
cons
cons
nil
cons
cons
1180
ref
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
547
ref
appThm
appThm
trans
251
ref
88
ref
348
ref
912
ref
867
ref
2532
ref
absThm
appThm
appThm
14
ref
208
ref
appThm
431
ref
appThm
2536
def
appThm
appThm
912
ref
867
ref
348
ref
2532
remove
appThm
2536
ref
appThm
absThm
appThm
appThm
nil
415
ref
2526
remove
cons
2197
ref
cons
nil
cons
cons
210
ref
37
ref
40
ref
47
ref
2527
ref
appTerm
44
ref
appTerm
appTerm
990
ref
123
ref
2264
remove
44
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2537
def
44
ref
appTerm
2538
def
betaConv
130
ref
222
ref
2537
ref
appTerm
2539
def
absTerm
2540
def
131
ref
appTerm
2541
def
betaConv
nil
656
ref
2540
ref
appTerm
2542
def
axiom
nil
36
ref
2542
remove
nil
cons
cons
37
ref
2541
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2540
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2539
remove
nil
cons
cons
37
ref
2538
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2537
remove
nil
cons
cons
1300
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
2543
def
subst
eqMp
912
ref
867
ref
88
ref
348
ref
912
ref
146
ref
2534
ref
absThm
appThm
appThm
2536
ref
appThm
appThm
912
ref
146
ref
348
ref
2534
remove
appThm
2536
remove
appThm
absThm
appThm
appThm
nil
415
ref
2533
remove
cons
2197
remove
cons
nil
cons
cons
2543
ref
subst
eqMp
absThm
appThm
trans
appThm
47
ref
7
ref
867
ref
7
ref
146
ref
240
ref
255
ref
790
remove
appTerm
appTerm
2544
def
255
ref
2443
remove
appTerm
appTerm
absTerm
appTerm
absTerm
2545
def
appTerm
2546
def
appTerm
361
remove
appTerm
2547
def
refl
2548
def
appThm
88
ref
251
ref
912
ref
867
ref
867
ref
872
ref
146
ref
47
ref
2444
ref
appTerm
360
ref
appTerm
2549
def
absTerm
2550
def
appTerm
absTerm
2551
def
869
ref
appTerm
betaConv
2552
def
absThm
appThm
appThm
2548
ref
appThm
appThm
912
ref
867
ref
251
ref
2552
remove
appThm
2548
ref
appThm
absThm
appThm
appThm
nil
415
ref
2551
remove
nil
cons
cons
37
ref
2547
ref
nil
cons
2553
def
cons
nil
cons
2554
def
cons
nil
cons
cons
210
ref
37
ref
40
ref
240
ref
2527
ref
appTerm
44
ref
appTerm
appTerm
990
ref
123
ref
240
ref
644
remove
appTerm
44
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2555
def
44
ref
appTerm
2556
def
betaConv
130
ref
222
ref
2555
ref
appTerm
2557
def
absTerm
2558
def
131
ref
appTerm
2559
def
betaConv
nil
656
ref
2558
ref
appTerm
2560
def
axiom
nil
36
ref
2560
remove
nil
cons
cons
37
ref
2559
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2558
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2557
remove
nil
cons
cons
37
ref
2556
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2555
remove
nil
cons
cons
1300
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
2561
def
subst
eqMp
912
ref
867
ref
88
ref
251
ref
912
ref
146
ref
2550
ref
150
ref
appTerm
betaConv
2562
def
absThm
appThm
appThm
2548
ref
appThm
appThm
912
ref
146
ref
251
ref
2562
remove
appThm
2548
remove
appThm
absThm
appThm
appThm
nil
415
ref
2550
remove
nil
cons
cons
2554
remove
cons
nil
cons
cons
2561
ref
subst
eqMp
absThm
appThm
trans
trans
trans
2459
remove
assume
eqMp
nil
36
ref
872
ref
867
ref
872
ref
146
ref
240
ref
2549
ref
appTerm
2547
remove
appTerm
2563
def
absTerm
2564
def
appTerm
2565
def
absTerm
2566
def
appTerm
2567
def
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
867
ref
41
ref
2566
ref
869
ref
appTerm
2568
def
appTerm
265
ref
appTerm
2569
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
867
ref
nil
71
ref
2569
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2568
ref
nil
cons
2570
def
cons
273
ref
cons
nil
cons
cons
2571
def
58
ref
subst
2571
remove
128
ref
subst
2568
ref
betaConv
2568
remove
assume
eqMp
nil
36
ref
2565
ref
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
146
ref
41
ref
2564
ref
150
ref
appTerm
2572
def
appTerm
265
ref
appTerm
2573
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
2573
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2572
ref
nil
cons
2574
def
cons
273
ref
cons
nil
cons
cons
2575
def
58
ref
subst
2575
remove
128
ref
subst
2572
ref
betaConv
2572
remove
assume
eqMp
nil
36
ref
2563
remove
nil
cons
2576
def
cons
273
ref
cons
nil
cons
cons
2577
def
109
ref
subst
proveHyp
2577
ref
58
ref
subst
2577
remove
128
ref
subst
8
ref
146
ref
nil
2039
remove
37
ref
2439
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1302
remove
subst
251
ref
1667
ref
refl
appThm
2578
def
nil
36
ref
2437
remove
nil
cons
cons
37
ref
2438
ref
nil
cons
2579
def
cons
nil
cons
cons
nil
cons
cons
2255
ref
subst
348
ref
251
ref
912
ref
867
ref
912
ref
2426
ref
348
ref
2428
ref
refl
appThm
2580
def
2433
ref
refl
appThm
absThm
appThm
absThm
appThm
appThm
nil
36
ref
987
ref
cons
2581
def
nil
cons
2582
def
nil
cons
cons
1043
ref
subst
appThm
appThm
251
ref
nil
111
ref
2436
ref
nil
cons
2583
def
cons
nil
cons
nil
cons
cons
2531
ref
subst
8
ref
867
ref
365
ref
2436
remove
869
ref
appTerm
betaConv
2584
def
appThm
nil
111
ref
2435
ref
nil
cons
2585
def
cons
nil
cons
nil
cons
cons
2531
ref
subst
8
ref
2426
ref
365
ref
2435
remove
2427
ref
appTerm
betaConv
2586
def
appThm
nil
36
ref
2428
ref
nil
cons
2587
def
cons
37
ref
2433
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
1180
remove
subst
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
2438
ref
refl
2588
def
appThm
appThm
trans
appThm
trans
absThm
appThm
8
ref
146
ref
2578
ref
348
ref
88
ref
251
ref
912
ref
867
ref
2584
ref
absThm
appThm
appThm
986
ref
appThm
appThm
912
ref
867
ref
251
ref
2584
remove
appThm
986
ref
appThm
absThm
appThm
appThm
nil
415
ref
2583
remove
cons
37
ref
987
ref
cons
nil
cons
2589
def
cons
nil
cons
cons
2561
ref
subst
eqMp
912
ref
867
ref
88
ref
251
ref
912
ref
2426
ref
2586
ref
absThm
appThm
appThm
986
ref
appThm
appThm
912
ref
2426
ref
251
ref
2586
remove
appThm
986
ref
appThm
absThm
appThm
appThm
nil
415
ref
2585
remove
cons
2589
remove
cons
nil
cons
cons
2561
remove
subst
eqMp
absThm
appThm
trans
appThm
240
ref
7
ref
867
ref
7
ref
2426
ref
240
ref
255
ref
2428
remove
appTerm
appTerm
255
ref
2433
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
2438
ref
appTerm
2590
def
refl
2591
def
appThm
88
ref
348
ref
912
ref
867
ref
867
ref
872
ref
2426
ref
240
ref
2434
remove
appTerm
367
ref
appTerm
2592
def
absTerm
2593
def
appTerm
absTerm
2594
def
869
ref
appTerm
betaConv
2595
def
absThm
appThm
appThm
2591
ref
appThm
appThm
912
ref
867
ref
348
ref
2595
remove
appThm
2591
ref
appThm
absThm
appThm
appThm
nil
415
ref
2594
remove
nil
cons
cons
37
ref
2590
ref
nil
cons
cons
nil
cons
2596
def
cons
nil
cons
cons
2543
ref
subst
eqMp
912
ref
867
ref
88
ref
348
ref
912
ref
2426
ref
2593
ref
2427
ref
appTerm
betaConv
2597
def
absThm
appThm
appThm
2591
ref
appThm
appThm
912
ref
2426
ref
348
ref
2597
remove
appThm
2591
remove
appThm
absThm
appThm
appThm
nil
415
ref
2593
remove
nil
cons
cons
2596
remove
cons
nil
cons
cons
2543
remove
subst
eqMp
absThm
appThm
trans
trans
appThm
88
ref
2578
ref
912
ref
867
ref
867
ref
872
ref
2426
ref
47
ref
2592
remove
appTerm
2590
ref
appTerm
2598
def
absTerm
2599
def
appTerm
absTerm
2600
def
869
ref
appTerm
betaConv
2601
def
absThm
appThm
appThm
appThm
912
ref
867
ref
2578
ref
2601
remove
appThm
absThm
appThm
appThm
nil
1741
ref
2600
remove
nil
cons
cons
36
ref
1667
ref
nil
cons
cons
nil
cons
2602
def
cons
nil
cons
cons
210
ref
1746
ref
40
ref
2198
ref
990
ref
1749
remove
appTerm
2603
def
appTerm
appTerm
990
ref
123
ref
2198
remove
1748
ref
appTerm
absTerm
appTerm
appTerm
absTerm
2604
def
1747
ref
appTerm
2605
def
betaConv
36
ref
656
ref
2604
ref
appTerm
2606
def
absTerm
2607
def
42
ref
appTerm
2608
def
betaConv
nil
222
ref
2607
ref
appTerm
2609
def
axiom
nil
36
ref
2609
remove
nil
cons
cons
37
ref
2608
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2607
remove
nil
cons
cons
1044
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2606
remove
nil
cons
cons
37
ref
2605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2604
remove
nil
cons
cons
1757
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
2610
def
subst
eqMp
912
ref
867
ref
88
ref
2578
ref
912
ref
2426
ref
2599
ref
2427
ref
appTerm
betaConv
2611
def
absThm
appThm
appThm
appThm
912
ref
2426
ref
2578
remove
2611
remove
appThm
absThm
appThm
appThm
nil
1741
ref
2599
remove
nil
cons
cons
2602
remove
cons
nil
cons
cons
2610
ref
subst
eqMp
absThm
appThm
trans
trans
absThm
appThm
88
ref
8
ref
146
ref
912
ref
867
ref
146
ref
867
ref
872
ref
2426
ref
240
ref
1667
ref
appTerm
2612
def
2598
remove
appTerm
absTerm
appTerm
absTerm
2613
def
absTerm
2614
def
150
ref
appTerm
betaConv
2615
def
869
ref
refl
2616
def
appThm
2613
ref
869
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
871
ref
1
ref
1
ref
16
ref
4
ref
cons
opType
2617
def
4
ref
cons
opType
2618
def
constTerm
2619
def
refl
2620
def
"f"
16
ref
var
2621
def
8
ref
146
ref
2615
remove
2621
ref
varTerm
2622
def
150
ref
appTerm
2623
def
refl
appThm
2613
remove
2623
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
12
ref
var
2624
def
2614
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
15
remove
cons
110
ref
cons
209
ref
cons
2625
def
"r"
1
ref
115
ref
1
ref
1069
ref
4
ref
cons
opType
2626
def
nil
cons
cons
opType
2627
def
var
2628
def
40
ref
118
ref
123
ref
871
ref
1
ref
2626
remove
4
ref
cons
opType
constTerm
2629
def
"y"
1069
remove
var
2630
def
2628
remove
varTerm
2631
def
124
ref
appTerm
2632
def
2630
ref
varTerm
2633
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
871
ref
1079
remove
constTerm
"f"
1070
remove
var
2634
def
118
ref
123
ref
2632
remove
2634
remove
varTerm
124
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2635
def
2631
ref
appTerm
2636
def
betaConv
nil
0
ref
1
ref
1
ref
2627
ref
4
ref
cons
opType
2637
def
4
ref
cons
opType
constTerm
2638
def
2635
ref
appTerm
2639
def
axiom
nil
36
ref
2639
remove
nil
cons
cons
37
ref
2636
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
"A"
2627
ref
nil
cons
cons
nil
cons
2640
def
"P"
2637
remove
var
2641
def
2635
remove
nil
cons
cons
"x"
2627
ref
var
2642
def
2631
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2643
def
subst
2644
def
subst
eqMp
2620
ref
2621
ref
88
ref
8
ref
146
ref
912
ref
2426
ref
146
ref
2426
ref
2612
ref
47
ref
240
ref
2429
ref
241
ref
154
ref
317
ref
2623
remove
appTerm
appTerm
2645
def
2427
ref
appTerm
appTerm
appTerm
appTerm
367
ref
appTerm
appTerm
2590
ref
appTerm
appTerm
absTerm
2646
def
absTerm
2647
def
150
ref
appTerm
betaConv
2648
def
2427
ref
refl
2649
def
appThm
2646
ref
2427
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
2620
ref
"f'"
16
ref
var
2650
def
8
ref
146
ref
2648
remove
2650
ref
varTerm
2651
def
150
ref
appTerm
2652
def
refl
appThm
2646
remove
2652
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
2624
ref
2647
remove
nil
cons
cons
nil
cons
nil
cons
cons
2644
ref
subst
eqMp
absThm
appThm
trans
trans
trans
2440
remove
assume
2653
def
eqMp
nil
36
ref
2619
ref
2621
ref
2619
remove
2650
ref
7
ref
146
ref
2612
remove
47
ref
240
ref
47
ref
789
ref
2652
ref
appTerm
appTerm
241
ref
2645
remove
2652
remove
appTerm
appTerm
appTerm
appTerm
367
ref
appTerm
appTerm
2590
remove
appTerm
appTerm
absTerm
appTerm
2654
def
absTerm
2655
def
appTerm
2656
def
absTerm
2657
def
appTerm
2658
def
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"P"
2617
ref
var
2659
def
2621
ref
41
ref
2657
ref
2622
ref
appTerm
2660
def
appTerm
265
ref
appTerm
2661
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
"A"
17
ref
cons
nil
cons
2662
def
209
ref
cons
328
ref
subst
2663
def
subst
2621
ref
nil
71
ref
2661
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2660
ref
nil
cons
2664
def
cons
273
ref
cons
nil
cons
cons
2665
def
58
ref
subst
2665
remove
128
ref
subst
2660
ref
betaConv
2660
remove
assume
eqMp
nil
36
ref
2656
ref
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
2659
ref
2650
ref
41
ref
2655
ref
2651
remove
appTerm
2666
def
appTerm
265
ref
appTerm
2667
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2663
remove
subst
2650
remove
nil
71
ref
2667
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2666
ref
nil
cons
2668
def
cons
273
ref
cons
nil
cons
cons
2669
def
58
ref
subst
2669
remove
128
ref
subst
2666
ref
betaConv
2666
remove
assume
eqMp
nil
36
ref
2654
remove
nil
cons
2670
def
cons
273
ref
cons
nil
cons
cons
2671
def
109
ref
subst
proveHyp
2671
ref
58
ref
subst
2671
remove
128
ref
subst
nil
36
ref
2553
ref
cons
273
ref
cons
nil
cons
cons
2672
def
58
ref
subst
2672
remove
128
ref
subst
nil
2457
ref
37
ref
359
ref
154
ref
318
ref
appTerm
20
ref
appTerm
2673
def
appTerm
2674
def
nil
cons
cons
nil
cons
2675
def
cons
nil
cons
cons
128
ref
subst
nil
"_3367"
2
ref
var
2676
def
113
ref
cons
nil
cons
nil
cons
cons
2475
ref
2676
remove
varTerm
2677
def
appTerm
2678
def
betaConv
nil
84
ref
479
remove
cons
86
ref
2479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
nil
84
ref
200
remove
cons
86
ref
2478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
proveHyp
nil
84
ref
2476
remove
nil
cons
2679
def
cons
86
ref
2477
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
proveHyp
nil
36
ref
2679
remove
cons
37
ref
2678
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2475
remove
nil
cons
cons
112
ref
2677
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
nil
36
ref
2474
ref
nil
cons
cons
37
ref
2473
remove
2673
ref
appTerm
2680
def
nil
cons
cons
nil
cons
2681
def
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
"_3362"
2
ref
var
2682
def
234
ref
cons
nil
cons
nil
cons
cons
173
remove
2682
remove
varTerm
2683
def
appTerm
2684
def
betaConv
nil
84
ref
177
remove
cons
86
ref
164
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
nil
178
remove
37
ref
2684
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
179
remove
112
ref
2683
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
nil
36
ref
13
ref
318
ref
appTerm
172
ref
appTerm
2685
def
nil
cons
cons
37
ref
359
ref
20
ref
appTerm
2686
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
208
ref
eqMp
nil
36
ref
47
ref
2685
remove
appTerm
2686
remove
appTerm
nil
cons
cons
37
ref
13
ref
2673
ref
appTerm
2687
def
2472
ref
appTerm
2688
def
nil
cons
2689
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3460"
2
ref
var
2690
def
113
ref
cons
"_3458"
2
ref
var
2691
def
113
ref
cons
"_3459"
2
ref
var
2692
def
566
ref
cons
"_3457"
2
ref
var
2693
def
318
remove
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
1208
ref
240
ref
255
ref
13
ref
2693
remove
varTerm
2694
def
appTerm
2692
remove
varTerm
2695
def
appTerm
2696
def
appTerm
2697
def
appTerm
2698
def
255
ref
13
ref
2691
remove
varTerm
2699
def
appTerm
2690
remove
varTerm
2700
def
appTerm
2701
def
appTerm
2702
def
appTerm
nil
cons
cons
1211
ref
13
ref
154
ref
2694
remove
appTerm
2699
remove
appTerm
appTerm
154
ref
2695
remove
appTerm
2700
remove
appTerm
appTerm
2703
def
nil
cons
2704
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
274
ref
nil
1208
ref
2702
ref
nil
cons
2705
def
cons
1211
ref
2697
remove
nil
cons
2706
def
cons
nil
cons
cons
nil
cons
cons
1365
ref
subst
348
ref
nil
1211
ref
2696
ref
nil
cons
2707
def
cons
nil
cons
2708
def
nil
cons
cons
1366
ref
subst
appThm
nil
1211
ref
2701
ref
nil
cons
2709
def
cons
nil
cons
2710
def
nil
cons
cons
1366
ref
subst
appThm
trans
appThm
2703
ref
refl
appThm
trans
2698
remove
refl
nil
37
ref
2704
ref
cons
2711
def
36
ref
2705
ref
cons
nil
cons
cons
nil
cons
cons
1274
ref
subst
appThm
nil
762
ref
2705
remove
cons
2711
ref
36
ref
2706
remove
cons
nil
cons
cons
cons
nil
cons
cons
1394
ref
subst
trans
nil
1208
ref
240
ref
2702
remove
appTerm
2703
remove
appTerm
nil
cons
2712
def
cons
2708
remove
cons
nil
cons
cons
nil
1217
ref
37
ref
40
ref
41
ref
1213
ref
appTerm
1218
ref
appTerm
appTerm
2713
def
240
ref
1344
ref
appTerm
2714
def
1218
ref
appTerm
appTerm
nil
cons
2715
def
cons
nil
cons
2716
def
cons
nil
cons
cons
2717
def
58
ref
subst
2717
remove
128
ref
subst
40
ref
"_630"
3
ref
var
2718
def
40
ref
41
ref
2718
remove
varTerm
2719
def
appTerm
1218
ref
appTerm
appTerm
240
ref
255
ref
2719
remove
appTerm
appTerm
1218
ref
appTerm
appTerm
absTerm
2720
def
1213
ref
appTerm
2721
def
appTerm
refl
2722
def
2720
ref
265
ref
appTerm
betaConv
appThm
88
ref
2721
remove
betaConv
appThm
2723
def
40
ref
298
ref
1218
ref
appTerm
appTerm
2724
def
1162
ref
1218
ref
appTerm
appTerm
refl
appThm
trans
2720
remove
refl
2725
def
1233
ref
appThm
eqMp
sym
88
ref
1235
ref
1119
ref
subst
appThm
2726
def
1165
ref
1218
ref
refl
2727
def
appThm
1252
remove
trans
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1242
ref
86
ref
2715
ref
cons
nil
cons
2728
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1246
ref
2716
remove
cons
nil
cons
cons
2729
def
58
ref
subst
2729
remove
128
ref
subst
2722
remove
"_628"
3
ref
var
2730
def
40
ref
41
ref
2730
remove
varTerm
2731
def
appTerm
1218
ref
appTerm
appTerm
240
ref
255
ref
2731
remove
appTerm
appTerm
1218
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2723
remove
40
ref
1132
ref
1218
ref
appTerm
appTerm
2732
def
1172
ref
1218
ref
appTerm
appTerm
refl
appThm
trans
2725
remove
1251
ref
appThm
eqMp
sym
88
ref
1235
ref
1139
ref
subst
appThm
2733
def
1174
ref
2727
remove
appThm
1236
remove
trans
appThm
1241
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1258
ref
2728
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1261
ref
nil
1258
ref
1262
ref
757
ref
2715
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
2734
def
subst
nil
36
ref
2707
ref
cons
37
ref
2712
ref
cons
nil
cons
cons
nil
cons
cons
2735
def
58
ref
subst
2735
remove
128
ref
subst
nil
1208
ref
2704
ref
cons
2710
remove
cons
nil
cons
cons
2734
ref
subst
nil
36
ref
2709
ref
cons
2711
remove
nil
cons
cons
nil
cons
cons
2736
def
58
ref
subst
2736
remove
128
ref
subst
1899
ref
2696
remove
assume
appThm
2701
remove
assume
appThm
eqMp
nil
84
ref
2709
remove
cons
86
ref
2704
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2707
remove
cons
86
ref
2712
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
36
ref
2689
remove
cons
37
ref
2687
remove
2673
ref
appTerm
2737
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
112
ref
2673
remove
nil
cons
2738
def
cons
nil
cons
2739
def
nil
cons
cons
1329
remove
subst
eqMp
nil
36
ref
47
ref
2688
remove
appTerm
2737
remove
appTerm
nil
cons
cons
2681
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1330
ref
2738
remove
cons
2740
def
1331
ref
2472
ref
nil
cons
2741
def
cons
2739
remove
cons
cons
nil
cons
cons
1443
ref
subst
eqMp
eqMp
nil
36
ref
47
ref
2474
ref
appTerm
2680
remove
appTerm
nil
cons
cons
2675
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
2740
remove
1331
ref
113
ref
cons
112
ref
2741
remove
cons
nil
cons
cons
cons
nil
cons
cons
1443
remove
subst
eqMp
eqMp
nil
36
ref
47
ref
801
ref
appTerm
2674
remove
appTerm
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3373"
2
ref
var
2742
def
24
ref
cons
"_3374"
2
ref
var
2743
def
113
ref
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
359
ref
154
ref
317
remove
2742
remove
varTerm
2744
def
appTerm
appTerm
2745
def
2743
remove
varTerm
2746
def
appTerm
appTerm
2747
def
nil
cons
cons
1211
ref
789
ref
2746
ref
appTerm
2748
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1217
ref
37
ref
40
ref
2714
remove
1220
ref
appTerm
appTerm
255
ref
47
ref
1213
ref
appTerm
1218
ref
appTerm
appTerm
appTerm
nil
cons
2749
def
cons
nil
cons
2750
def
cons
nil
cons
cons
2751
def
58
ref
subst
2751
remove
128
ref
subst
40
ref
"_614"
3
ref
var
2752
def
40
ref
240
ref
255
ref
2752
remove
varTerm
2753
def
appTerm
appTerm
1220
ref
appTerm
appTerm
255
ref
47
ref
2753
remove
appTerm
1218
ref
appTerm
appTerm
appTerm
absTerm
2754
def
1213
ref
appTerm
2755
def
appTerm
refl
2756
def
2754
ref
265
ref
appTerm
betaConv
appThm
88
ref
2755
remove
betaConv
appThm
2757
def
40
ref
1162
ref
1220
ref
appTerm
appTerm
255
ref
516
ref
1218
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2754
remove
refl
2758
def
1233
ref
appThm
eqMp
sym
88
ref
1165
ref
1357
ref
appThm
1238
ref
315
ref
subst
trans
appThm
365
ref
1235
ref
520
ref
subst
appThm
454
ref
trans
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1242
ref
86
ref
2749
ref
cons
nil
cons
2759
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1246
ref
2750
remove
cons
nil
cons
cons
2760
def
58
ref
subst
2760
remove
128
ref
subst
2756
remove
"_612"
3
ref
var
2761
def
40
ref
240
ref
255
ref
2761
remove
varTerm
2762
def
appTerm
appTerm
1220
ref
appTerm
appTerm
255
ref
47
ref
2762
remove
appTerm
1218
ref
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2757
remove
40
ref
1172
ref
1220
remove
appTerm
appTerm
255
ref
443
ref
1218
ref
appTerm
appTerm
appTerm
refl
appThm
trans
2758
remove
1251
ref
appThm
eqMp
sym
88
ref
1174
ref
1357
remove
appThm
1238
remove
1178
ref
subst
trans
appThm
365
ref
1235
ref
447
ref
subst
appThm
appThm
1358
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1258
ref
2759
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1261
ref
nil
1258
ref
1262
ref
757
ref
2749
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
nil
36
ref
47
ref
2748
remove
appTerm
2747
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1305
ref
subst
trans
146
ref
2544
remove
255
ref
359
ref
2745
remove
150
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2763
def
2746
ref
appTerm
2764
def
betaConv
2545
ref
2744
ref
appTerm
2765
def
betaConv
nil
84
ref
2546
remove
nil
cons
2766
def
cons
1723
remove
cons
nil
cons
cons
100
ref
subst
nil
36
ref
2766
remove
cons
37
ref
2765
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2545
remove
nil
cons
cons
112
ref
2744
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
2763
ref
appTerm
nil
cons
cons
37
ref
2764
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2763
remove
nil
cons
cons
112
ref
2746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
84
ref
2553
ref
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2549
remove
nil
cons
2767
def
cons
273
ref
cons
nil
cons
cons
2768
def
58
ref
subst
2768
remove
128
ref
subst
40
ref
"_3401"
2
ref
var
2769
def
13
ref
2769
remove
varTerm
appTerm
23
ref
appTerm
absTerm
2770
def
20
ref
appTerm
2771
def
appTerm
refl
2770
ref
2442
ref
appTerm
betaConv
appThm
88
ref
2771
remove
betaConv
appThm
13
ref
2442
ref
appTerm
23
ref
appTerm
2772
def
refl
appThm
trans
2770
remove
refl
nil
84
ref
2444
remove
nil
cons
cons
843
remove
cons
nil
cons
cons
2773
def
100
ref
subst
nil
838
remove
86
ref
2535
remove
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
proveHyp
2774
def
appThm
eqMp
2773
remove
293
ref
subst
eqMp
nil
36
ref
2772
ref
nil
cons
cons
37
ref
789
ref
2442
ref
appTerm
2775
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
40
ref
"_3377"
2
ref
var
2776
def
789
ref
2776
remove
varTerm
appTerm
absTerm
2777
def
20
ref
appTerm
2778
def
appTerm
refl
2777
ref
2442
ref
appTerm
betaConv
appThm
88
ref
2778
remove
betaConv
appThm
2775
ref
refl
appThm
trans
2777
remove
refl
2779
def
2774
remove
appThm
eqMp
801
ref
assume
eqMp
eqMp
nil
36
ref
47
ref
2772
remove
appTerm
2775
remove
appTerm
nil
cons
cons
37
ref
813
ref
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3416"
2
ref
var
2780
def
24
ref
cons
"_3415"
2
ref
var
2781
def
2442
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
240
ref
255
ref
13
ref
2781
remove
varTerm
2782
def
appTerm
2780
remove
varTerm
2783
def
appTerm
2784
def
appTerm
2785
def
appTerm
255
ref
789
ref
2782
remove
appTerm
2786
def
appTerm
2787
def
appTerm
nil
cons
cons
1211
ref
789
ref
2783
remove
appTerm
2788
def
nil
cons
2789
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
274
ref
nil
1208
ref
2787
ref
nil
cons
2790
def
cons
1211
ref
2785
remove
nil
cons
2791
def
cons
nil
cons
cons
nil
cons
cons
1365
remove
subst
348
ref
nil
1211
ref
2784
ref
nil
cons
2792
def
cons
nil
cons
2793
def
nil
cons
cons
1366
ref
subst
appThm
nil
1211
ref
2786
ref
nil
cons
cons
nil
cons
2794
def
nil
cons
cons
1366
ref
subst
appThm
trans
appThm
2788
ref
refl
appThm
trans
nil
762
ref
2790
remove
cons
37
ref
2789
ref
cons
36
ref
2791
remove
cons
nil
cons
cons
cons
nil
cons
cons
1394
remove
subst
nil
1208
ref
240
ref
2788
ref
appTerm
2787
remove
appTerm
nil
cons
2795
def
cons
2793
remove
cons
nil
cons
cons
2734
remove
subst
nil
36
ref
2792
ref
cons
37
ref
2795
ref
cons
nil
cons
2796
def
cons
nil
cons
cons
2797
def
58
ref
subst
2797
remove
128
ref
subst
798
ref
2784
remove
assume
appThm
nil
36
ref
40
ref
2786
remove
appTerm
2788
remove
appTerm
nil
cons
cons
2796
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1208
ref
2789
remove
cons
2794
remove
cons
nil
cons
cons
nil
1217
ref
37
ref
41
ref
1214
remove
1218
ref
appTerm
appTerm
240
ref
1218
ref
appTerm
2798
def
1344
ref
appTerm
appTerm
nil
cons
2799
def
cons
nil
cons
2800
def
cons
nil
cons
cons
2801
def
58
ref
subst
2801
remove
128
ref
subst
40
ref
"_634"
3
ref
var
2802
def
41
ref
40
ref
2802
remove
varTerm
2803
def
appTerm
1218
ref
appTerm
appTerm
2798
ref
255
ref
2803
remove
appTerm
appTerm
appTerm
absTerm
2804
def
1213
ref
appTerm
2805
def
appTerm
refl
2806
def
2804
ref
265
ref
appTerm
betaConv
appThm
88
ref
2805
remove
betaConv
appThm
2807
def
41
ref
303
ref
1218
ref
appTerm
appTerm
2798
ref
453
ref
appTerm
appTerm
refl
appThm
trans
2804
remove
refl
2808
def
1233
ref
appThm
eqMp
sym
274
ref
1235
ref
452
ref
subst
appThm
2798
ref
refl
2809
def
454
ref
appThm
1235
ref
697
ref
subst
trans
appThm
1257
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1242
ref
86
ref
2799
ref
cons
nil
cons
2810
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1246
ref
2800
remove
cons
nil
cons
cons
2811
def
58
ref
subst
2811
remove
128
ref
subst
2806
remove
"_632"
3
ref
var
2812
def
41
ref
40
ref
2812
remove
varTerm
2813
def
appTerm
1218
ref
appTerm
appTerm
2798
ref
255
ref
2813
remove
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
2807
remove
41
ref
484
ref
1218
ref
appTerm
appTerm
2798
remove
440
ref
appTerm
appTerm
refl
appThm
trans
2808
remove
1251
ref
appThm
eqMp
sym
274
ref
1235
ref
488
ref
subst
appThm
2809
remove
441
ref
appThm
1235
ref
724
ref
subst
trans
appThm
1235
remove
nil
71
ref
1038
remove
74
ref
appTerm
2814
def
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
71
ref
2814
remove
absTerm
2815
def
74
ref
appTerm
2816
def
betaConv
nil
222
ref
2815
ref
appTerm
2817
def
axiom
nil
36
ref
2817
remove
nil
cons
cons
37
ref
2816
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2815
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
2818
def
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1258
ref
2810
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1261
ref
nil
1258
ref
1262
ref
757
ref
2799
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
84
ref
2792
remove
cons
86
ref
2795
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
36
ref
813
remove
cons
2819
def
273
ref
cons
nil
cons
cons
109
ref
subst
2820
def
proveHyp
nil
2819
remove
nil
cons
nil
cons
cons
1305
ref
subst
348
ref
809
remove
refl
appThm
2821
def
8
ref
9
ref
nil
36
ref
800
ref
nil
cons
cons
37
ref
802
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2255
ref
subst
348
ref
251
ref
798
ref
141
ref
208
ref
appThm
appThm
2822
def
appThm
nil
2457
remove
nil
cons
nil
cons
cons
1043
remove
subst
appThm
appThm
251
ref
365
ref
2822
remove
appThm
appThm
365
ref
798
remove
208
ref
appThm
appThm
appThm
appThm
trans
absThm
appThm
appThm
2821
remove
88
ref
8
ref
9
ref
348
ref
9
ref
240
ref
800
ref
appTerm
801
ref
appTerm
absTerm
2823
def
20
ref
appTerm
betaConv
2824
def
appThm
9
ref
240
ref
255
ref
800
remove
appTerm
appTerm
802
remove
appTerm
absTerm
2825
def
20
ref
appTerm
betaConv
2826
def
appThm
absThm
appThm
appThm
348
ref
8
ref
9
ref
2824
remove
absThm
appThm
appThm
8
ref
9
ref
2826
remove
absThm
appThm
appThm
appThm
nil
415
ref
2823
ref
nil
cons
cons
1741
ref
2825
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2273
ref
subst
eqMp
appThm
trans
2463
remove
assume
eqMp
nil
84
ref
811
remove
cons
86
ref
47
ref
7
ref
2823
remove
appTerm
appTerm
7
ref
2825
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
proveHyp
eqMp
2827
def
eqMp
eqMp
nil
84
ref
2767
remove
cons
2828
def
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
2828
remove
86
ref
2553
remove
cons
1445
remove
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
2670
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2668
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
0
ref
2618
remove
constTerm
2829
def
"x"
16
remove
var
2830
def
41
ref
2655
ref
2830
ref
varTerm
2831
def
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2656
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
2662
ref
2659
ref
2655
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
2664
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
2829
remove
2830
remove
41
ref
2657
ref
2831
remove
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2658
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
2662
remove
2659
remove
2657
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
2576
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2574
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2564
ref
671
ref
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2565
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2564
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
2570
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2566
ref
671
ref
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2567
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2566
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
2464
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
2832
def
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2468
remove
cons
86
ref
2508
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2481
remove
cons
86
ref
2506
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2460
remove
cons
2833
def
86
ref
2504
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2456
ref
cons
2834
def
86
ref
2502
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2451
remove
cons
2835
def
86
ref
2500
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
7
ref
2491
ref
appTerm
nil
cons
cons
37
ref
2492
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2491
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2833
remove
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2834
remove
86
ref
2453
ref
cons
nil
cons
2836
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1689
ref
nil
cons
2837
def
cons
2454
ref
cons
nil
cons
cons
2838
def
58
ref
subst
2838
remove
128
ref
subst
9
ref
40
ref
1689
ref
appTerm
872
ref
146
ref
359
ref
342
ref
150
ref
appTerm
2839
def
appTerm
2840
def
absTerm
2841
def
appTerm
2842
def
appTerm
absTerm
2843
def
20
ref
appTerm
2844
def
betaConv
nil
7
ref
2843
ref
appTerm
2845
def
axiom
nil
36
ref
2845
remove
nil
cons
cons
37
ref
2844
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2843
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
1689
ref
assume
eqMp
nil
36
ref
2842
ref
nil
cons
cons
2454
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
146
ref
41
ref
2841
ref
150
ref
appTerm
2846
def
appTerm
2448
ref
appTerm
2847
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
2847
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2846
ref
nil
cons
2848
def
cons
2454
ref
cons
nil
cons
cons
2849
def
58
ref
subst
2849
remove
128
ref
subst
2846
ref
betaConv
2846
remove
assume
eqMp
nil
36
ref
2840
ref
nil
cons
2850
def
cons
2454
remove
cons
nil
cons
cons
2851
def
109
ref
subst
proveHyp
2851
ref
58
ref
subst
2851
remove
128
ref
subst
40
ref
"_3471"
2
ref
var
2852
def
40
ref
872
ref
867
ref
872
ref
146
ref
827
remove
13
ref
2852
remove
varTerm
appTerm
2853
def
2442
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
255
ref
2853
remove
23
ref
appTerm
appTerm
appTerm
absTerm
2854
def
20
ref
appTerm
2855
def
appTerm
refl
2854
ref
2839
ref
appTerm
betaConv
appThm
88
ref
2855
remove
betaConv
2856
def
appThm
40
ref
872
ref
867
ref
872
ref
2426
ref
2429
ref
13
ref
2839
ref
appTerm
2857
def
2432
ref
appTerm
appTerm
2858
def
absTerm
2859
def
appTerm
absTerm
appTerm
appTerm
2860
def
255
ref
2857
ref
23
ref
appTerm
appTerm
appTerm
2861
def
refl
appThm
trans
2854
remove
refl
2840
remove
assume
2862
def
appThm
eqMp
sym
2426
ref
41
ref
230
ref
2427
ref
appTerm
2839
ref
appTerm
appTerm
40
ref
872
ref
867
ref
872
ref
"m''"
2
ref
var
2863
def
47
ref
789
ref
2863
ref
varTerm
2864
def
appTerm
appTerm
2865
def
13
ref
2427
ref
appTerm
2866
def
2431
ref
2864
ref
appTerm
2867
def
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
255
ref
2866
remove
23
ref
appTerm
2868
def
appTerm
appTerm
appTerm
absTerm
2869
def
150
ref
appTerm
2870
def
betaConv
40
ref
"_3473"
2
ref
var
2871
def
7
ref
146
ref
41
ref
239
ref
2871
remove
varTerm
appTerm
appTerm
2439
remove
appTerm
absTerm
appTerm
absTerm
2872
def
20
ref
appTerm
2873
def
appTerm
refl
2872
ref
2839
ref
appTerm
betaConv
appThm
88
ref
2873
remove
betaConv
appThm
7
ref
2869
ref
appTerm
2874
def
refl
appThm
trans
2872
remove
refl
2862
remove
appThm
eqMp
2653
remove
eqMp
nil
36
ref
2874
remove
nil
cons
cons
37
ref
2870
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2869
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
41
ref
239
ref
2839
ref
appTerm
2875
def
appTerm
2876
def
40
ref
872
ref
867
ref
872
ref
2863
ref
2865
ref
241
ref
2867
ref
appTerm
appTerm
2877
def
absTerm
2878
def
appTerm
absTerm
appTerm
2879
def
appTerm
2880
def
2438
ref
appTerm
appTerm
2881
def
nil
cons
cons
37
ref
2861
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
36
ref
2579
ref
cons
2882
def
37
ref
41
ref
2881
remove
appTerm
2861
remove
appTerm
nil
cons
2883
def
cons
nil
cons
2884
def
cons
nil
cons
cons
2885
def
58
ref
subst
2885
remove
128
ref
subst
274
ref
2876
ref
refl
2880
remove
refl
365
ref
nil
2882
ref
37
ref
40
ref
367
ref
appTerm
2886
def
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
987
ref
cons
2887
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
2888
def
appThm
454
ref
trans
2889
def
appThm
nil
71
ref
2879
ref
nil
cons
2890
def
cons
nil
cons
nil
cons
cons
71
ref
40
ref
76
remove
appTerm
74
ref
appTerm
absTerm
2891
def
74
ref
appTerm
2892
def
betaConv
nil
222
ref
2891
ref
appTerm
2893
def
axiom
nil
36
ref
2893
remove
nil
cons
cons
37
ref
2892
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2891
remove
nil
cons
cons
228
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2894
def
subst
trans
appThm
appThm
2860
ref
refl
365
ref
nil
511
ref
235
ref
cons
nil
cons
cons
9
ref
40
ref
712
remove
23
ref
appTerm
appTerm
890
ref
360
ref
appTerm
appTerm
absTerm
2895
def
20
ref
appTerm
2896
def
betaConv
146
ref
7
ref
2895
ref
appTerm
2897
def
absTerm
2898
def
150
ref
appTerm
2899
def
betaConv
nil
7
ref
2898
ref
appTerm
2900
def
axiom
nil
36
ref
2900
remove
nil
cons
cons
37
ref
2899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2898
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2897
remove
nil
cons
cons
37
ref
2896
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2895
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2901
def
subst
2902
def
240
ref
562
ref
appTerm
refl
2903
def
2888
ref
appThm
nil
71
ref
562
ref
nil
cons
cons
nil
cons
nil
cons
cons
2904
def
724
ref
subst
trans
trans
appThm
appThm
appThm
sym
333
ref
513
ref
9
ref
359
ref
2472
remove
appTerm
2905
def
absTerm
2906
def
20
ref
appTerm
2907
def
betaConv
8
ref
9
ref
2905
remove
assume
sym
2474
remove
assume
sym
deductAntisym
absThm
appThm
615
remove
eqMp
nil
36
ref
7
ref
2906
ref
appTerm
nil
cons
cons
37
ref
2907
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2906
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
appThm
2839
remove
refl
appThm
sym
nil
9
ref
234
remove
cons
2908
def
573
ref
165
ref
cons
598
ref
cons
cons
nil
cons
cons
2076
remove
subst
348
ref
868
remove
refl
565
ref
appThm
nil
567
ref
598
ref
cons
nil
cons
cons
250
ref
subst
251
ref
689
ref
appThm
2016
remove
refl
appThm
2017
remove
315
ref
subst
trans
trans
trans
appThm
2889
ref
appThm
483
ref
trans
trans
sym
77
ref
eqMp
eqMp
nil
36
ref
2875
ref
nil
cons
cons
2909
def
37
ref
41
ref
2879
ref
appTerm
2860
remove
255
ref
562
remove
appTerm
appTerm
2910
def
appTerm
2911
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
274
ref
912
ref
867
ref
912
ref
2863
ref
2865
ref
refl
2912
def
241
ref
refl
2913
def
1899
ref
1837
ref
565
ref
appThm
2616
ref
appThm
appThm
2914
def
2864
ref
refl
2915
def
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
88
ref
912
ref
867
ref
912
ref
2426
ref
2580
ref
14
ref
1899
ref
565
ref
appThm
2471
ref
appThm
appThm
2914
remove
2649
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
365
ref
569
remove
appThm
454
ref
trans
appThm
nil
71
ref
872
ref
867
ref
872
ref
2426
ref
2429
ref
13
ref
154
ref
29
ref
172
ref
appTerm
2916
def
appTerm
150
ref
appTerm
appTerm
154
ref
19
ref
2916
ref
appTerm
869
ref
appTerm
appTerm
2427
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2894
ref
subst
trans
appThm
sym
274
ref
912
ref
867
ref
912
ref
2863
ref
2912
ref
2913
ref
1899
ref
1837
ref
13
ref
2916
ref
appTerm
233
ref
appTerm
assume
sym
561
remove
2916
remove
appTerm
assume
sym
deductAntisym
565
remove
eqMp
2917
def
appThm
2616
remove
appThm
appThm
2918
def
2915
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
912
ref
867
ref
912
ref
2426
ref
2580
ref
14
ref
1899
ref
2917
remove
appThm
2471
ref
appThm
appThm
2918
remove
2649
ref
appThm
appThm
appThm
absThm
appThm
absThm
appThm
appThm
sym
274
ref
88
ref
912
ref
867
ref
912
ref
2863
ref
867
ref
2878
ref
absTerm
2919
def
869
ref
appTerm
betaConv
2915
remove
appThm
2878
remove
2864
ref
appTerm
betaConv
trans
2920
def
absThm
appThm
absThm
appThm
appThm
912
ref
2863
ref
912
ref
867
ref
2920
remove
absThm
appThm
absThm
appThm
appThm
nil
"p"
12
remove
var
2921
def
2919
remove
nil
cons
cons
nil
cons
nil
cons
cons
2625
remove
"p"
2627
remove
var
2922
def
40
ref
990
ref
123
ref
2629
ref
2630
ref
2922
remove
varTerm
2923
def
124
ref
appTerm
2633
remove
appTerm
2924
def
absTerm
appTerm
absTerm
appTerm
appTerm
2629
remove
2630
remove
990
ref
123
ref
2924
remove
absTerm
appTerm
absTerm
appTerm
appTerm
absTerm
2925
def
2923
ref
appTerm
2926
def
betaConv
nil
2638
remove
2925
ref
appTerm
2927
def
axiom
nil
36
ref
2927
remove
nil
cons
cons
37
ref
2926
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
2640
remove
2641
remove
2925
remove
nil
cons
cons
2642
remove
2923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
2928
def
subst
eqMp
appThm
88
ref
912
ref
867
ref
912
ref
2426
ref
867
ref
2859
ref
absTerm
2929
def
869
ref
appTerm
betaConv
2649
remove
appThm
2859
remove
2427
ref
appTerm
betaConv
trans
2930
def
absThm
appThm
absThm
appThm
appThm
912
ref
2426
ref
912
ref
867
ref
2930
remove
absThm
appThm
absThm
appThm
appThm
nil
2921
remove
2929
remove
nil
cons
cons
nil
cons
nil
cons
cons
2928
remove
subst
eqMp
appThm
sym
nil
111
ref
573
ref
41
ref
872
ref
867
ref
47
ref
789
ref
574
ref
appTerm
2931
def
appTerm
2932
def
241
ref
2431
remove
574
ref
appTerm
2933
def
appTerm
2934
def
appTerm
2935
def
absTerm
2936
def
appTerm
appTerm
872
ref
867
ref
2932
remove
2857
ref
2933
remove
appTerm
appTerm
absTerm
2937
def
appTerm
2938
def
appTerm
2939
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
2939
remove
nil
cons
2940
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
867
ref
41
ref
2936
ref
869
ref
appTerm
2941
def
appTerm
2938
ref
appTerm
2942
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
867
ref
nil
71
ref
2942
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2941
ref
nil
cons
2943
def
cons
37
ref
2938
ref
nil
cons
2944
def
cons
nil
cons
2945
def
cons
nil
cons
cons
2946
def
58
ref
subst
2946
remove
128
ref
subst
2941
ref
betaConv
2941
remove
assume
eqMp
nil
36
ref
2935
remove
nil
cons
2947
def
cons
2945
remove
cons
nil
cons
cons
2948
def
109
ref
subst
proveHyp
2948
ref
58
ref
subst
2948
remove
128
ref
subst
nil
84
ref
2931
ref
nil
cons
2949
def
cons
86
ref
2934
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2950
def
100
ref
subst
2950
remove
293
ref
subst
2937
ref
29
ref
869
remove
appTerm
2951
def
appTerm
betaConv
sym
348
ref
nil
71
ref
2949
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
2931
remove
assume
eqMp
appThm
14
ref
342
ref
refl
2952
def
2934
remove
assume
appThm
nil
9
ref
2430
ref
nil
cons
2953
def
cons
235
ref
cons
nil
cons
cons
1941
ref
subst
trans
appThm
1899
ref
nil
1529
remove
235
ref
cons
nil
cons
cons
2954
def
167
ref
subst
appThm
1838
ref
appThm
appThm
nil
112
ref
154
ref
342
ref
2430
remove
appTerm
appTerm
574
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
appThm
483
ref
trans
sym
77
ref
eqMp
eqMp
110
ref
111
ref
2937
remove
nil
cons
cons
112
ref
2951
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
84
ref
2947
remove
cons
86
ref
2944
remove
cons
nil
cons
2955
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2943
remove
cons
2955
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2936
ref
671
ref
appTerm
appTerm
2938
remove
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
2940
remove
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2936
remove
nil
cons
cons
2955
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
2863
ref
41
ref
872
ref
867
ref
2877
remove
absTerm
appTerm
2956
def
appTerm
872
ref
867
ref
2865
ref
2857
remove
2867
ref
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
872
ref
2863
ref
2956
remove
absTerm
2957
def
appTerm
appTerm
872
ref
2426
ref
872
ref
867
ref
2858
remove
absTerm
appTerm
absTerm
2958
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
8
ref
2863
ref
274
ref
2957
ref
2864
ref
appTerm
betaConv
2959
def
appThm
2958
ref
2864
remove
appTerm
betaConv
2960
def
appThm
absThm
appThm
appThm
274
ref
912
ref
2863
ref
2959
remove
absThm
appThm
appThm
912
ref
2863
ref
2960
remove
absThm
appThm
appThm
appThm
nil
415
ref
2957
remove
nil
cons
cons
1741
ref
2958
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
210
ref
1746
ref
41
ref
118
ref
123
ref
1467
remove
1748
ref
appTerm
absTerm
appTerm
appTerm
41
ref
2527
remove
appTerm
2603
ref
appTerm
appTerm
absTerm
2961
def
1747
ref
appTerm
2962
def
betaConv
130
ref
656
ref
2961
ref
appTerm
2963
def
absTerm
2964
def
131
ref
appTerm
2965
def
betaConv
nil
656
ref
2964
ref
appTerm
2966
def
axiom
nil
36
ref
2966
remove
nil
cons
cons
37
ref
2965
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2964
remove
nil
cons
cons
661
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
2963
remove
nil
cons
cons
37
ref
2962
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
2961
remove
nil
cons
cons
1757
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
36
ref
47
ref
2875
remove
appTerm
2911
remove
appTerm
nil
cons
cons
37
ref
41
ref
2876
remove
2879
remove
appTerm
appTerm
2910
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
762
remove
2910
remove
nil
cons
cons
37
ref
2890
remove
cons
2909
remove
nil
cons
cons
cons
nil
cons
cons
nil
36
ref
48
ref
769
ref
appTerm
nil
cons
2967
def
cons
37
ref
41
ref
45
ref
appTerm
2968
def
763
remove
appTerm
nil
cons
2969
def
cons
nil
cons
cons
nil
cons
cons
2970
def
58
ref
subst
2970
remove
128
ref
subst
nil
284
ref
37
ref
1369
ref
cons
nil
cons
2971
def
cons
nil
cons
cons
2972
def
58
ref
subst
2972
remove
128
ref
subst
nil
85
remove
86
ref
769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2973
def
100
ref
subst
109
ref
proveHyp
102
remove
eqMp
nil
278
ref
2971
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
2973
remove
293
ref
subst
eqMp
eqMp
nil
290
ref
86
ref
1369
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2967
remove
cons
86
ref
2969
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
nil
84
ref
2579
ref
cons
2974
def
86
ref
2883
ref
cons
nil
cons
2975
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
2581
ref
2884
remove
cons
nil
cons
cons
2976
def
58
ref
subst
2976
remove
128
ref
subst
274
ref
274
ref
333
ref
367
ref
assume
2977
def
appThm
2952
remove
2977
ref
appThm
2978
def
appThm
appThm
88
ref
912
ref
867
ref
912
ref
2863
ref
2912
remove
14
ref
2977
ref
appThm
2979
def
2867
ref
refl
appThm
appThm
absThm
appThm
absThm
appThm
appThm
365
ref
2979
ref
431
ref
appThm
253
ref
trans
2980
def
appThm
441
ref
trans
2981
def
appThm
nil
71
ref
872
ref
867
ref
872
ref
2863
remove
2865
remove
458
ref
2867
remove
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
2982
def
nil
cons
cons
nil
cons
nil
cons
cons
71
ref
40
ref
750
remove
appTerm
448
remove
appTerm
absTerm
2983
def
74
remove
appTerm
2984
def
betaConv
nil
222
ref
2983
ref
appTerm
2985
def
axiom
nil
36
ref
2985
remove
nil
cons
cons
37
ref
2984
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
2983
remove
nil
cons
cons
228
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
2986
def
subst
trans
appThm
appThm
88
ref
912
ref
867
ref
912
ref
2426
ref
2580
ref
14
ref
2978
remove
appThm
2432
ref
refl
2987
def
appThm
appThm
absThm
appThm
absThm
appThm
appThm
365
ref
2902
remove
2903
remove
2980
remove
appThm
2904
remove
697
ref
subst
trans
trans
appThm
441
ref
trans
appThm
nil
71
ref
872
ref
867
ref
872
ref
2426
ref
2429
ref
13
ref
342
ref
23
ref
appTerm
appTerm
2432
ref
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2986
remove
subst
trans
appThm
sym
274
ref
274
ref
232
ref
236
remove
201
remove
subst
2988
def
appThm
309
remove
trans
appThm
255
ref
2982
remove
appTerm
2989
def
refl
appThm
nil
71
ref
2989
remove
nil
cons
cons
nil
cons
nil
cons
cons
1119
ref
subst
trans
appThm
365
ref
912
ref
867
ref
912
ref
2426
ref
2580
ref
14
ref
2988
remove
appThm
2987
remove
appThm
appThm
absThm
appThm
absThm
appThm
appThm
appThm
nil
71
ref
255
ref
872
ref
867
ref
872
ref
2426
ref
2429
ref
458
ref
2432
ref
appTerm
2990
def
appTerm
absTerm
appTerm
absTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
sym
365
ref
912
ref
867
ref
912
ref
2426
ref
2580
ref
13
ref
2432
remove
appTerm
23
ref
appTerm
assume
sym
2990
remove
assume
sym
deductAntisym
appThm
absThm
appThm
absThm
appThm
appThm
sym
365
ref
912
ref
867
remove
912
ref
2426
ref
2580
remove
nil
9
ref
2427
ref
nil
cons
cons
146
ref
2953
remove
cons
nil
cons
cons
nil
cons
cons
2901
ref
subst
251
ref
2954
remove
560
ref
subst
570
remove
886
remove
refl
appThm
nil
71
ref
887
remove
cons
nil
cons
nil
cons
cons
520
ref
subst
trans
trans
appThm
2868
ref
refl
appThm
nil
71
ref
2868
ref
nil
cons
2991
def
cons
nil
cons
nil
cons
cons
1178
ref
subst
trans
trans
appThm
absThm
appThm
absThm
appThm
nil
71
ref
872
ref
2426
ref
2429
remove
2868
remove
appTerm
2992
def
absTerm
2993
def
appTerm
2994
def
nil
cons
2995
def
cons
nil
cons
nil
cons
cons
994
remove
subst
trans
appThm
sym
nil
84
ref
2995
ref
cons
2996
def
nil
cons
nil
cons
cons
2083
remove
subst
nil
36
ref
2995
remove
cons
273
ref
cons
nil
cons
cons
2997
def
58
ref
subst
2997
ref
128
ref
subst
2466
remove
2510
remove
2511
remove
2997
remove
109
ref
subst
nil
111
ref
2426
ref
41
ref
2993
ref
2427
ref
appTerm
2998
def
appTerm
265
ref
appTerm
2999
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
2426
remove
nil
71
ref
2999
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2998
ref
nil
cons
3000
def
cons
273
ref
cons
nil
cons
cons
3001
def
58
ref
subst
3001
remove
128
ref
subst
2998
ref
betaConv
2998
remove
assume
eqMp
nil
36
ref
2992
remove
nil
cons
3002
def
cons
273
ref
cons
nil
cons
cons
3003
def
109
ref
subst
proveHyp
3003
ref
58
ref
subst
3003
remove
128
ref
subst
40
ref
"_3479"
2
ref
var
3004
def
789
remove
3004
remove
varTerm
appTerm
absTerm
3005
def
2427
remove
appTerm
3006
def
appTerm
refl
3005
remove
23
ref
appTerm
betaConv
appThm
88
ref
3006
remove
betaConv
appThm
808
remove
refl
appThm
trans
2779
remove
nil
84
ref
2587
remove
cons
86
ref
2991
remove
cons
nil
cons
cons
nil
cons
cons
3007
def
293
ref
subst
appThm
eqMp
3007
remove
100
ref
subst
eqMp
2820
remove
proveHyp
2827
remove
eqMp
eqMp
nil
84
ref
3002
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3000
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2993
ref
671
ref
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2994
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2993
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
2832
remove
deductAntisym
eqMp
eqMp
eqMp
nil
2996
remove
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2887
ref
2975
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
ref
367
ref
appTerm
3008
def
betaConv
1440
ref
nil
1441
ref
37
ref
3008
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
ref
226
ref
987
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3009
def
nil
2887
ref
86
ref
2579
ref
cons
3010
def
757
ref
2883
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
2850
remove
cons
2836
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
2848
remove
cons
2836
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
2841
ref
671
ref
appTerm
appTerm
2448
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
2842
remove
appTerm
2448
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
2841
remove
nil
cons
cons
2836
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
2837
remove
cons
3011
def
2836
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
9
ref
240
ref
1689
remove
appTerm
801
remove
appTerm
absTerm
3012
def
20
ref
appTerm
3013
def
betaConv
nil
7
ref
3012
ref
appTerm
3014
def
axiom
nil
36
ref
3014
remove
nil
cons
cons
37
ref
3013
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3012
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
3011
remove
86
ref
2456
remove
cons
757
ref
2453
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
nil
2835
remove
2836
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
2450
remove
appTerm
nil
cons
cons
37
ref
7
ref
9
ref
2448
remove
absTerm
3015
def
appTerm
3016
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
8
ref
9
ref
274
ref
8
ref
146
ref
2046
ref
refl
3015
ref
150
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
2856
ref
appThm
absThm
appThm
appThm
8
ref
9
ref
2856
remove
absThm
appThm
appThm
nil
415
ref
3015
remove
nil
cons
cons
nil
cons
nil
cons
cons
415
ref
41
ref
7
ref
9
ref
41
ref
7
ref
146
ref
2046
ref
417
ref
150
ref
appTerm
appTerm
absTerm
appTerm
appTerm
419
remove
appTerm
absTerm
appTerm
appTerm
420
remove
appTerm
absTerm
3017
def
417
remove
appTerm
3018
def
betaConv
nil
423
remove
3017
ref
appTerm
3019
def
axiom
nil
36
ref
3019
remove
nil
cons
cons
37
ref
3018
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
425
remove
426
remove
3017
remove
nil
cons
cons
427
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
3016
remove
thm
nil
111
ref
9
ref
7
ref
146
ref
7
ref
573
ref
635
ref
13
ref
1017
ref
19
ref
1024
ref
appTerm
3020
def
574
ref
appTerm
3021
def
appTerm
20
ref
appTerm
3022
def
appTerm
1017
ref
1853
ref
appTerm
20
ref
appTerm
3023
def
appTerm
3024
def
appTerm
3025
def
absTerm
3026
def
appTerm
3027
def
absTerm
3028
def
appTerm
3029
def
absTerm
3030
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
3029
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3028
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
3027
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3026
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
3025
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
782
ref
37
ref
3024
ref
nil
cons
3031
def
cons
nil
cons
cons
nil
cons
cons
3032
def
58
ref
subst
3032
remove
128
ref
subst
573
ref
3024
ref
absTerm
3033
def
574
ref
appTerm
3034
def
betaConv
3035
def
14
ref
1017
ref
refl
3036
def
nil
146
ref
1024
ref
nil
cons
cons
nil
cons
3037
def
nil
cons
cons
180
ref
subst
appThm
208
ref
appThm
appThm
3036
ref
180
remove
appThm
208
ref
appThm
appThm
nil
112
ref
1017
ref
172
ref
appTerm
20
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
215
ref
subst
trans
sym
77
ref
eqMp
nil
36
ref
13
ref
1017
ref
3020
ref
23
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1017
ref
171
remove
appTerm
20
ref
appTerm
appTerm
3038
def
nil
cons
cons
37
ref
7
ref
573
ref
41
ref
3024
ref
appTerm
13
ref
1017
ref
3020
remove
1551
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1017
ref
1869
remove
appTerm
20
ref
appTerm
appTerm
3039
def
appTerm
3040
def
absTerm
3041
def
appTerm
3042
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
3041
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
3040
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3031
ref
cons
37
ref
3039
remove
nil
cons
3043
def
cons
nil
cons
cons
nil
cons
cons
3044
def
58
ref
subst
3044
remove
128
ref
subst
14
ref
3036
ref
nil
1544
ref
3037
remove
cons
nil
cons
cons
167
ref
subst
appThm
208
ref
appThm
appThm
3036
ref
1879
remove
appThm
208
ref
appThm
appThm
sym
14
ref
nil
782
ref
37
ref
13
ref
1017
ref
154
ref
1024
ref
appTerm
3045
def
3021
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1017
ref
155
ref
3021
ref
appTerm
appTerm
20
ref
appTerm
3046
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
573
ref
3021
remove
nil
cons
cons
nil
cons
nil
cons
cons
3047
def
573
ref
635
ref
13
ref
1017
ref
3045
remove
574
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1017
ref
1552
remove
appTerm
20
ref
appTerm
3048
def
appTerm
appTerm
absTerm
3049
def
574
ref
appTerm
3050
def
betaConv
146
ref
7
ref
3049
ref
appTerm
3051
def
absTerm
3052
def
150
ref
appTerm
3053
def
betaConv
9
ref
7
ref
3052
ref
appTerm
3054
def
absTerm
3055
def
20
ref
appTerm
3056
def
betaConv
nil
7
ref
3055
ref
appTerm
3057
def
axiom
nil
36
ref
3057
remove
nil
cons
cons
37
ref
3056
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3055
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3054
remove
nil
cons
cons
37
ref
3053
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3052
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3051
remove
nil
cons
cons
37
ref
3050
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3049
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
appThm
1017
ref
155
ref
1853
ref
appTerm
appTerm
20
ref
appTerm
3058
def
refl
3059
def
appThm
sym
1331
remove
47
ref
13
ref
3046
ref
appTerm
3060
def
1332
remove
appTerm
appTerm
1339
remove
3058
ref
appTerm
appTerm
absTerm
3061
def
1017
ref
155
ref
3022
remove
appTerm
appTerm
20
ref
appTerm
3062
def
appTerm
betaConv
sym
3060
ref
refl
nil
782
ref
37
ref
13
ref
3062
ref
appTerm
3063
def
3046
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
3047
remove
573
ref
635
remove
13
ref
1017
ref
155
ref
1017
ref
574
ref
appTerm
20
ref
appTerm
appTerm
appTerm
20
ref
appTerm
appTerm
3048
remove
appTerm
appTerm
absTerm
3064
def
574
ref
appTerm
3065
def
betaConv
146
ref
7
ref
3064
ref
appTerm
3066
def
absTerm
3067
def
150
ref
appTerm
3068
def
betaConv
9
ref
7
ref
3067
ref
appTerm
3069
def
absTerm
3070
def
20
ref
appTerm
3071
def
betaConv
nil
7
ref
3070
ref
appTerm
3072
def
axiom
nil
36
ref
3072
remove
nil
cons
cons
37
ref
3071
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3070
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3069
remove
nil
cons
cons
37
ref
3068
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3067
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3066
remove
nil
cons
cons
37
ref
3065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3064
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3073
def
subst
eqMp
appThm
nil
112
ref
3046
remove
nil
cons
cons
nil
cons
3074
def
nil
cons
cons
215
ref
subst
trans
sym
77
ref
eqMp
nil
36
ref
3060
ref
3062
ref
appTerm
nil
cons
cons
37
ref
3063
remove
3058
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
14
ref
3036
ref
1877
remove
3024
remove
assume
appThm
appThm
208
ref
appThm
appThm
3059
remove
appThm
sym
nil
782
ref
37
ref
13
ref
1017
ref
155
remove
3023
remove
appTerm
appTerm
20
ref
appTerm
appTerm
3058
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
1881
remove
nil
cons
nil
cons
cons
3073
remove
subst
eqMp
eqMp
eqMp
eqMp
110
ref
111
ref
3061
ref
nil
cons
cons
112
ref
3062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
3061
remove
appTerm
nil
cons
cons
37
ref
3060
remove
3058
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
1330
remove
3058
remove
nil
cons
cons
3074
remove
cons
nil
cons
cons
210
ref
1399
ref
41
ref
990
ref
639
ref
47
ref
1395
remove
appTerm
1403
remove
appTerm
3075
def
absTerm
3076
def
appTerm
3077
def
appTerm
3078
def
1401
ref
appTerm
3079
def
absTerm
3080
def
1400
ref
appTerm
3081
def
betaConv
123
ref
118
ref
3080
ref
appTerm
3082
def
absTerm
3083
def
124
ref
appTerm
3084
def
betaConv
nil
118
ref
123
ref
118
ref
639
ref
118
ref
1399
ref
41
ref
3075
ref
appTerm
1401
ref
appTerm
absTerm
3085
def
appTerm
3086
def
absTerm
3087
def
appTerm
3088
def
absTerm
3089
def
appTerm
3090
def
axiom
nil
36
ref
3090
ref
nil
cons
3091
def
cons
3092
def
37
ref
118
ref
3083
ref
appTerm
nil
cons
3093
def
cons
nil
cons
cons
nil
cons
cons
3094
def
109
ref
subst
proveHyp
3094
ref
58
ref
subst
3094
remove
128
ref
subst
nil
119
ref
3083
remove
nil
cons
cons
3095
def
nil
cons
nil
cons
cons
328
ref
subst
123
ref
nil
71
ref
3082
remove
nil
cons
3096
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
119
ref
3080
remove
nil
cons
cons
3097
def
nil
cons
nil
cons
cons
328
ref
subst
1399
remove
nil
71
ref
3079
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3077
remove
nil
cons
3098
def
cons
3099
def
37
ref
1401
ref
nil
cons
3100
def
cons
nil
cons
3101
def
cons
nil
cons
cons
3102
def
58
ref
subst
3102
remove
128
ref
subst
nil
3092
ref
3101
ref
cons
nil
cons
cons
3103
def
109
ref
subst
nil
3099
remove
37
ref
41
ref
3090
remove
appTerm
1401
remove
appTerm
3104
def
nil
cons
3105
def
cons
nil
cons
3106
def
cons
nil
cons
cons
109
ref
subst
nil
119
ref
639
ref
41
ref
3076
ref
643
ref
appTerm
3107
def
appTerm
3104
ref
appTerm
3108
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
328
ref
subst
639
remove
nil
71
ref
3108
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3107
ref
nil
cons
3109
def
cons
3106
ref
cons
nil
cons
cons
3110
def
58
ref
subst
3110
remove
128
ref
subst
3107
ref
betaConv
3107
remove
assume
eqMp
nil
36
ref
3075
remove
nil
cons
3111
def
cons
3112
def
3106
remove
cons
nil
cons
cons
3113
def
109
ref
subst
proveHyp
3113
ref
58
ref
subst
3113
remove
128
ref
subst
3103
ref
58
ref
subst
3103
remove
128
ref
subst
nil
3112
remove
3101
remove
cons
nil
cons
cons
109
ref
subst
3085
ref
1400
ref
appTerm
3114
def
betaConv
3087
ref
643
remove
appTerm
3115
def
betaConv
3089
ref
124
remove
appTerm
3116
def
betaConv
nil
3092
remove
37
ref
3116
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
663
ref
119
ref
3089
remove
nil
cons
cons
664
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3088
remove
nil
cons
cons
37
ref
3115
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3087
remove
nil
cons
cons
665
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3086
remove
nil
cons
cons
37
ref
3114
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3085
remove
nil
cons
cons
123
ref
1400
remove
nil
cons
cons
nil
cons
3117
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3091
remove
cons
3118
def
86
ref
3100
remove
cons
nil
cons
3119
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3111
remove
cons
86
ref
3105
remove
cons
nil
cons
3120
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3109
remove
cons
3120
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
118
ref
"x'"
115
ref
var
3121
def
41
ref
3076
ref
3121
remove
varTerm
appTerm
appTerm
3104
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
3078
remove
3104
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3076
remove
nil
cons
cons
3120
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3098
remove
cons
3119
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3118
remove
86
ref
3093
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
3093
remove
cons
37
ref
3084
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
3095
remove
664
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3096
remove
cons
37
ref
3081
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
3097
remove
3117
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3031
ref
cons
86
ref
3043
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
3038
remove
appTerm
3042
remove
appTerm
nil
cons
cons
37
ref
7
ref
3033
ref
appTerm
nil
cons
3122
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
3033
ref
23
ref
appTerm
betaConv
appThm
8
ref
573
ref
274
ref
3035
ref
appThm
3033
ref
1551
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
573
ref
3035
remove
absThm
appThm
appThm
nil
415
ref
3033
remove
nil
cons
3123
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
36
ref
3122
remove
cons
37
ref
3034
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3123
remove
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
nil
788
ref
86
ref
3031
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
3030
remove
appTerm
thm
nil
111
ref
112
ref
7
ref
573
ref
7
ref
146
ref
7
ref
9
ref
41
ref
2066
ref
appTerm
3124
def
13
ref
1017
ref
1017
ref
671
ref
appTerm
3125
def
19
remove
574
ref
appTerm
3126
def
150
ref
appTerm
3127
def
appTerm
3128
def
appTerm
3129
def
3126
ref
20
ref
appTerm
3130
def
appTerm
appTerm
3131
def
3125
ref
3126
ref
"Number.Natural.min"
const
18
ref
constTerm
150
ref
appTerm
20
ref
appTerm
3132
def
appTerm
appTerm
appTerm
3133
def
appTerm
3134
def
absTerm
3135
def
appTerm
3136
def
absTerm
3137
def
appTerm
3138
def
absTerm
3139
def
appTerm
3140
def
absTerm
3141
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
3140
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3139
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
3138
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3137
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
3136
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3135
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
3134
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
2066
remove
nil
cons
3142
def
cons
3143
def
37
ref
3133
remove
nil
cons
3144
def
cons
nil
cons
cons
nil
cons
cons
3145
def
58
ref
subst
3145
remove
128
ref
subst
3131
ref
refl
3146
def
3125
ref
refl
3147
def
3126
ref
refl
3148
def
9
ref
13
ref
3132
remove
appTerm
628
ref
934
ref
appTerm
150
ref
appTerm
20
ref
appTerm
3149
def
appTerm
absTerm
3150
def
20
ref
appTerm
3151
def
betaConv
146
ref
7
ref
3150
ref
appTerm
3152
def
absTerm
3153
def
150
ref
appTerm
3154
def
betaConv
nil
7
ref
3153
ref
appTerm
3155
def
axiom
nil
36
ref
3155
remove
nil
cons
cons
37
ref
3154
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3153
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3152
remove
nil
cons
cons
37
ref
3151
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3150
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
appThm
appThm
appThm
sym
nil
2235
ref
37
ref
3131
ref
3125
ref
3126
ref
3149
remove
appTerm
appTerm
appTerm
nil
cons
3156
def
cons
nil
cons
3157
def
cons
nil
cons
cons
3158
def
58
ref
subst
3158
remove
128
ref
subst
3146
ref
3147
ref
3148
ref
628
ref
refl
3159
def
nil
2235
ref
37
ref
2040
ref
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
2043
ref
cons
3160
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
appThm
2471
ref
appThm
208
ref
appThm
nil
"t2"
2
ref
var
3161
def
113
ref
cons
"t1"
2
ref
var
3162
def
165
ref
cons
nil
cons
cons
nil
cons
cons
3163
def
210
ref
"t2"
115
ref
var
3164
def
212
ref
641
ref
265
ref
appTerm
3165
def
"t1"
115
ref
var
3166
def
varTerm
3167
def
appTerm
3164
ref
varTerm
3168
def
appTerm
appTerm
3168
ref
appTerm
absTerm
3169
def
3168
ref
appTerm
3170
def
betaConv
3166
ref
118
ref
3169
ref
appTerm
3171
def
absTerm
3172
def
3167
ref
appTerm
3173
def
betaConv
nil
118
ref
3172
ref
appTerm
3174
def
axiom
nil
36
ref
3174
remove
nil
cons
cons
37
ref
3173
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3172
remove
nil
cons
cons
123
ref
3167
ref
nil
cons
cons
nil
cons
3175
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3171
remove
nil
cons
cons
37
ref
3170
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3169
remove
nil
cons
cons
123
ref
3168
ref
nil
cons
cons
nil
cons
3176
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3177
def
subst
3178
def
subst
trans
appThm
appThm
appThm
sym
nil
36
ref
872
ref
"d"
2
ref
var
3179
def
241
ref
196
ref
3179
ref
varTerm
3180
def
appTerm
3181
def
appTerm
3182
def
absTerm
3183
def
appTerm
3184
def
nil
cons
cons
3185
def
nil
cons
nil
cons
cons
1046
remove
subst
sym
nil
36
ref
255
ref
3184
ref
appTerm
3186
def
nil
cons
3187
def
cons
3188
def
273
ref
cons
nil
cons
cons
3189
def
58
ref
subst
3189
remove
128
ref
subst
nil
7
ref
146
ref
7
ref
9
ref
2261
ref
1668
ref
appTerm
absTerm
appTerm
absTerm
3190
def
appTerm
3191
def
axiom
nil
36
ref
3191
ref
nil
cons
3192
def
cons
3193
def
273
ref
cons
nil
cons
cons
3194
def
109
ref
subst
proveHyp
nil
7
ref
146
ref
7
ref
9
ref
2040
remove
872
ref
3179
ref
359
ref
184
ref
3180
ref
appTerm
3195
def
appTerm
3196
def
absTerm
3197
def
appTerm
3198
def
appTerm
absTerm
3199
def
appTerm
3200
def
absTerm
3201
def
appTerm
3202
def
axiom
3203
def
nil
36
ref
3202
ref
nil
cons
3204
def
cons
3205
def
37
ref
41
ref
3191
ref
appTerm
265
ref
appTerm
3206
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
3188
ref
37
ref
41
ref
3202
ref
appTerm
3207
def
3206
remove
appTerm
3208
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
2235
ref
37
ref
41
ref
3186
ref
appTerm
3209
def
3208
remove
appTerm
3210
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
3143
ref
37
ref
41
ref
935
remove
appTerm
3211
def
3210
remove
appTerm
3212
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
573
ref
3124
ref
3212
remove
appTerm
absTerm
3213
def
574
ref
appTerm
3214
def
betaConv
146
ref
7
ref
3213
ref
appTerm
3215
def
absTerm
3216
def
150
ref
appTerm
3217
def
betaConv
9
ref
7
ref
3216
ref
appTerm
3218
def
absTerm
3219
def
20
ref
appTerm
3220
def
betaConv
8
ref
9
ref
8
ref
146
ref
8
ref
573
ref
3124
ref
refl
3211
ref
refl
3209
ref
refl
3207
ref
refl
nil
71
ref
3192
ref
cons
nil
cons
nil
cons
cons
1042
ref
subst
3221
def
appThm
appThm
appThm
appThm
absThm
appThm
absThm
appThm
absThm
appThm
sym
nil
111
ref
9
ref
7
ref
146
ref
7
ref
573
ref
3124
remove
3211
remove
3209
remove
3207
remove
255
ref
3191
remove
appTerm
3222
def
appTerm
3223
def
appTerm
3224
def
appTerm
3225
def
appTerm
3226
def
absTerm
3227
def
appTerm
3228
def
absTerm
3229
def
appTerm
3230
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
3230
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3229
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
3228
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3227
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
3226
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
3143
ref
37
ref
3225
remove
nil
cons
3231
def
cons
nil
cons
cons
nil
cons
cons
3232
def
58
ref
subst
3232
remove
128
ref
subst
nil
2235
ref
37
ref
3224
remove
nil
cons
3233
def
cons
nil
cons
cons
nil
cons
cons
3234
def
58
ref
subst
3234
remove
128
ref
subst
nil
3188
remove
37
ref
3223
remove
nil
cons
3235
def
cons
nil
cons
cons
nil
cons
cons
3236
def
58
ref
subst
3236
remove
128
ref
subst
nil
3205
ref
37
ref
3222
remove
nil
cons
3237
def
cons
nil
cons
cons
nil
cons
cons
3238
def
58
ref
subst
3238
remove
128
ref
subst
3221
remove
3194
ref
58
ref
subst
3194
remove
128
ref
subst
8
ref
146
ref
8
ref
9
ref
nil
2258
ref
37
ref
3198
ref
nil
cons
3239
def
cons
nil
cons
cons
nil
cons
cons
2255
remove
subst
348
ref
251
ref
934
ref
refl
3240
def
appThm
nil
111
ref
3197
ref
nil
cons
3241
def
cons
3242
def
nil
cons
nil
cons
cons
2531
ref
subst
8
ref
3179
ref
365
ref
3197
ref
3180
ref
appTerm
3243
def
betaConv
3244
def
appThm
absThm
appThm
trans
appThm
appThm
2256
ref
912
ref
3179
ref
3196
ref
refl
absThm
appThm
appThm
appThm
trans
absThm
appThm
absThm
appThm
8
ref
146
ref
88
ref
8
ref
9
ref
348
ref
9
ref
2261
ref
7
ref
3179
ref
255
ref
3196
ref
appTerm
absTerm
appTerm
appTerm
absTerm
3245
def
20
ref
appTerm
betaConv
3246
def
appThm
9
ref
2229
ref
3198
ref
appTerm
absTerm
3247
def
20
ref
appTerm
betaConv
3248
def
appThm
absThm
appThm
appThm
348
ref
8
ref
9
ref
3246
remove
absThm
appThm
appThm
8
ref
9
ref
3248
remove
absThm
appThm
appThm
appThm
nil
415
ref
3245
ref
nil
cons
cons
1741
ref
3247
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
2273
ref
subst
eqMp
absThm
appThm
88
ref
8
ref
146
ref
348
ref
146
ref
7
ref
3245
remove
appTerm
absTerm
3249
def
150
ref
appTerm
betaConv
3250
def
appThm
146
ref
7
ref
3247
remove
appTerm
absTerm
3251
def
150
ref
appTerm
betaConv
3252
def
appThm
absThm
appThm
appThm
348
ref
8
ref
146
ref
3250
remove
absThm
appThm
appThm
8
ref
146
ref
3252
remove
absThm
appThm
appThm
appThm
nil
415
ref
3249
ref
nil
cons
cons
1741
ref
3251
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
2273
remove
subst
eqMp
trans
47
ref
7
ref
3249
remove
appTerm
3253
def
appTerm
3254
def
refl
3255
def
8
ref
146
ref
8
ref
9
ref
88
ref
2256
ref
912
ref
3179
ref
3244
ref
absThm
appThm
appThm
appThm
912
ref
3179
ref
2256
remove
3244
ref
appThm
absThm
appThm
appThm
nil
1741
ref
3241
remove
cons
2235
ref
nil
cons
cons
nil
cons
cons
2610
remove
subst
eqMp
absThm
appThm
88
ref
8
ref
9
ref
912
remove
3179
ref
9
ref
3179
ref
2229
ref
3196
ref
appTerm
absTerm
3256
def
absTerm
3257
def
20
ref
appTerm
betaConv
3258
def
3180
ref
refl
3259
def
appThm
3256
ref
3180
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
2620
ref
2621
ref
8
ref
9
ref
3258
remove
2622
ref
20
ref
appTerm
3260
def
refl
appThm
3256
remove
3260
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
2624
remove
3257
remove
nil
cons
cons
nil
cons
nil
cons
cons
2644
remove
subst
eqMp
trans
absThm
appThm
88
ref
8
ref
146
ref
2620
remove
2621
ref
146
ref
2621
remove
7
ref
9
ref
2229
ref
359
ref
184
ref
3260
remove
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3261
def
absTerm
3262
def
150
ref
appTerm
betaConv
3263
def
2622
ref
refl
appThm
3261
ref
2622
remove
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
871
remove
1
ref
1
ref
18
ref
4
ref
cons
opType
3264
def
4
remove
cons
opType
3265
def
constTerm
3266
def
refl
3267
def
"f"
18
ref
var
3268
def
8
ref
146
ref
3263
remove
3268
ref
varTerm
3269
def
150
ref
appTerm
3270
def
refl
appThm
3261
remove
3270
ref
appTerm
betaConv
trans
absThm
appThm
absThm
appThm
appThm
nil
"r"
1
ref
2
ref
2617
remove
nil
cons
cons
opType
var
3262
remove
nil
cons
cons
nil
cons
nil
cons
cons
"B"
17
remove
cons
110
ref
cons
209
ref
cons
2643
remove
subst
subst
eqMp
trans
appThm
88
ref
3255
ref
3267
ref
3268
ref
3268
ref
7
ref
146
ref
7
ref
9
ref
2229
remove
359
ref
184
ref
3270
remove
20
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
3271
def
appTerm
3272
def
absTerm
3273
def
3269
ref
appTerm
betaConv
3274
def
absThm
appThm
appThm
appThm
3267
remove
3268
ref
3255
remove
3274
remove
appThm
absThm
appThm
appThm
nil
"q"
3264
ref
var
3273
remove
nil
cons
cons
36
ref
3253
remove
nil
cons
3275
def
cons
nil
cons
cons
nil
cons
cons
"A"
627
remove
cons
nil
cons
3276
def
209
remove
cons
3277
def
1746
ref
40
ref
48
ref
2603
remove
appTerm
appTerm
990
remove
123
remove
48
remove
1748
remove
appTerm
absTerm
appTerm
appTerm
absTerm
3278
def
1747
ref
appTerm
3279
def
betaConv
36
ref
656
ref
3278
ref
appTerm
3280
def
absTerm
3281
def
42
ref
appTerm
3282
def
betaConv
nil
222
ref
3281
ref
appTerm
3283
def
axiom
nil
36
ref
3283
remove
nil
cons
cons
37
ref
3282
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3281
remove
nil
cons
cons
1044
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3280
remove
nil
cons
cons
37
ref
3279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
3278
remove
nil
cons
cons
1757
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
subst
eqMp
trans
trans
trans
3202
remove
assume
eqMp
nil
36
ref
3266
remove
3268
ref
3254
remove
3272
ref
appTerm
3284
def
absTerm
3285
def
appTerm
3286
def
nil
cons
cons
273
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"P"
3264
remove
var
3287
def
3268
ref
41
ref
3285
ref
3269
ref
appTerm
3288
def
appTerm
265
ref
appTerm
3289
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
3277
remove
328
ref
subst
subst
3268
remove
nil
71
ref
3289
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3288
ref
nil
cons
3290
def
cons
273
ref
cons
nil
cons
cons
3291
def
58
ref
subst
3291
remove
128
ref
subst
3288
ref
betaConv
3288
remove
assume
eqMp
nil
36
ref
3284
remove
nil
cons
3292
def
cons
273
ref
cons
nil
cons
cons
3293
def
109
ref
subst
proveHyp
3293
ref
58
ref
subst
3293
remove
128
ref
subst
nil
2235
remove
37
ref
1668
ref
nil
cons
3294
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
"_3495"
2
ref
var
3295
def
113
ref
cons
"_3494"
2
ref
var
3296
def
165
ref
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
349
ref
3296
remove
varTerm
3297
def
appTerm
3298
def
3295
remove
varTerm
3299
def
appTerm
3300
def
nil
cons
3301
def
cons
1211
ref
349
ref
3299
ref
appTerm
3297
ref
appTerm
3302
def
nil
cons
3303
def
cons
nil
cons
cons
nil
cons
cons
1263
ref
subst
40
ref
240
ref
3300
remove
appTerm
3302
remove
appTerm
3304
def
appTerm
refl
nil
37
ref
3301
remove
cons
36
ref
3303
remove
cons
nil
cons
cons
nil
cons
cons
1274
ref
subst
appThm
nil
226
ref
3304
remove
nil
cons
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
9
ref
240
ref
3298
remove
20
ref
appTerm
appTerm
576
ref
3297
ref
appTerm
appTerm
absTerm
3305
def
3299
ref
appTerm
3306
def
betaConv
3190
ref
3297
ref
appTerm
3307
def
betaConv
nil
3193
remove
37
ref
3307
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
3190
remove
nil
cons
cons
112
ref
3297
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
3305
ref
appTerm
nil
cons
cons
37
ref
3306
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3305
remove
nil
cons
cons
112
ref
3299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
36
ref
3294
ref
cons
3308
def
37
ref
241
ref
196
ref
3269
ref
20
ref
appTerm
150
ref
appTerm
3309
def
appTerm
appTerm
nil
cons
3310
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3500"
2
ref
var
3311
def
165
remove
cons
"_3499"
2
ref
var
3312
def
113
remove
cons
nil
cons
cons
nil
cons
cons
nil
1208
ref
255
ref
349
ref
3312
remove
varTerm
3313
def
appTerm
3314
def
3311
remove
varTerm
3315
def
appTerm
3316
def
appTerm
nil
cons
3317
def
cons
1211
ref
13
ref
3315
ref
appTerm
183
ref
3313
ref
appTerm
3318
def
3269
remove
3313
ref
appTerm
3319
def
3315
ref
appTerm
appTerm
appTerm
3320
def
nil
cons
3321
def
cons
nil
cons
cons
nil
cons
cons
1263
remove
subst
274
ref
nil
1211
ref
3316
remove
nil
cons
cons
nil
cons
nil
cons
cons
1366
remove
subst
appThm
3320
remove
refl
appThm
trans
nil
37
ref
3321
remove
cons
36
ref
3317
remove
cons
nil
cons
cons
nil
cons
cons
1274
remove
subst
9
ref
240
ref
255
ref
3314
remove
20
ref
appTerm
appTerm
appTerm
359
ref
3318
remove
3319
remove
20
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3322
def
3315
ref
appTerm
3323
def
betaConv
3271
ref
3313
ref
appTerm
3324
def
betaConv
nil
84
ref
3275
remove
cons
86
ref
3272
remove
nil
cons
3325
def
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
nil
36
ref
3325
remove
cons
37
ref
3324
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3271
remove
nil
cons
cons
112
ref
3313
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
7
ref
3322
ref
appTerm
nil
cons
cons
37
ref
3323
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3322
remove
nil
cons
cons
112
ref
3315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
36
ref
3310
remove
cons
273
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"_3493"
2
ref
var
3326
def
3309
remove
nil
cons
cons
nil
cons
nil
cons
cons
nil
36
ref
241
ref
196
ref
3326
remove
varTerm
3327
def
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1305
remove
subst
3179
ref
255
ref
3182
ref
appTerm
absTerm
3328
def
3327
ref
appTerm
3329
def
betaConv
nil
111
ref
3183
ref
nil
cons
cons
3330
def
nil
cons
nil
cons
cons
2531
remove
subst
8
ref
3179
ref
365
ref
3183
ref
3180
ref
appTerm
3331
def
betaConv
3332
def
appThm
absThm
appThm
trans
3186
remove
assume
eqMp
nil
36
ref
7
ref
3328
ref
appTerm
nil
cons
cons
37
ref
3329
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3328
remove
nil
cons
cons
112
ref
3327
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
84
ref
3292
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3290
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
0
remove
3265
remove
constTerm
"x"
18
ref
var
3333
def
41
ref
3285
ref
3333
remove
varTerm
appTerm
appTerm
265
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
3286
remove
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
3276
remove
3287
remove
3285
remove
nil
cons
cons
1306
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
3192
remove
cons
1306
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3204
remove
cons
86
ref
3237
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3187
remove
cons
3334
def
86
ref
3235
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
2234
ref
cons
3335
def
86
ref
3233
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3142
remove
cons
3336
def
86
ref
3231
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
7
ref
3219
ref
appTerm
nil
cons
cons
37
ref
3220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3219
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3218
remove
nil
cons
cons
37
ref
3217
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3216
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3215
remove
nil
cons
cons
37
ref
3214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3213
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3334
remove
1306
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
3185
ref
37
ref
3131
ref
3125
ref
3130
ref
appTerm
3337
def
appTerm
3338
def
nil
cons
3339
def
cons
nil
cons
3340
def
cons
nil
cons
cons
109
ref
subst
nil
111
ref
3179
ref
41
ref
3331
ref
appTerm
3341
def
3338
ref
appTerm
3342
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3342
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3331
ref
nil
cons
3343
def
cons
3344
def
3340
ref
cons
nil
cons
cons
3345
def
58
ref
subst
3345
remove
128
ref
subst
3332
remove
3331
remove
assume
eqMp
3346
def
nil
36
ref
3182
ref
nil
cons
3347
def
cons
3348
def
3340
remove
cons
nil
cons
cons
3349
def
109
ref
subst
proveHyp
3349
ref
58
ref
subst
3349
remove
128
ref
subst
40
ref
"_3491"
2
ref
var
3350
def
13
ref
1017
ref
3125
ref
3126
ref
3350
remove
varTerm
appTerm
appTerm
appTerm
3130
ref
appTerm
appTerm
3337
ref
appTerm
absTerm
3351
def
150
ref
appTerm
3352
def
appTerm
refl
3351
ref
3181
ref
appTerm
betaConv
appThm
88
ref
3352
remove
betaConv
appThm
13
ref
1017
ref
3125
ref
3126
ref
3181
ref
appTerm
appTerm
appTerm
3130
ref
appTerm
appTerm
3337
ref
appTerm
refl
appThm
trans
3351
remove
refl
3182
remove
assume
3353
def
appThm
eqMp
sym
3036
ref
3147
ref
nil
573
ref
3180
ref
nil
cons
3354
def
cons
1536
ref
cons
nil
cons
cons
1898
remove
subst
appThm
appThm
3130
ref
refl
appThm
365
ref
nil
9
ref
3126
ref
3180
ref
appTerm
3355
def
nil
cons
3356
def
cons
146
ref
3130
ref
nil
cons
3357
def
cons
nil
cons
cons
nil
cons
cons
2901
remove
subst
251
ref
nil
1536
ref
nil
cons
cons
3358
def
560
ref
subst
348
ref
nil
3143
remove
37
ref
40
ref
2065
ref
appTerm
3359
def
265
ref
appTerm
nil
cons
3360
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
2065
ref
nil
cons
3361
def
cons
nil
cons
nil
cons
cons
307
ref
subst
eqMp
3362
def
appThm
3363
def
547
remove
appThm
549
remove
trans
trans
appThm
nil
9
ref
3354
ref
cons
3364
def
1536
ref
cons
nil
cons
cons
560
ref
subst
3363
ref
255
ref
13
ref
3180
ref
appTerm
23
ref
appTerm
appTerm
3365
def
refl
appThm
nil
71
ref
3365
remove
nil
cons
cons
nil
cons
nil
cons
cons
520
ref
subst
trans
trans
appThm
310
remove
1178
ref
subst
3366
def
trans
trans
appThm
454
ref
trans
sym
77
ref
eqMp
nil
36
ref
255
ref
13
ref
154
ref
3130
ref
appTerm
3355
remove
appTerm
3367
def
appTerm
23
ref
appTerm
appTerm
nil
cons
cons
37
ref
13
ref
1017
ref
3125
remove
3367
remove
appTerm
appTerm
3130
remove
appTerm
appTerm
3337
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3356
remove
cons
9
ref
3357
remove
cons
685
ref
cons
cons
nil
cons
cons
573
ref
41
ref
255
ref
13
ref
1827
ref
appTerm
23
ref
appTerm
appTerm
appTerm
13
ref
1017
ref
1023
remove
1827
ref
appTerm
appTerm
20
ref
appTerm
appTerm
1024
ref
appTerm
appTerm
absTerm
3368
def
574
ref
appTerm
3369
def
betaConv
9
ref
7
ref
3368
ref
appTerm
3370
def
absTerm
3371
def
20
ref
appTerm
3372
def
betaConv
146
ref
7
ref
3371
ref
appTerm
3373
def
absTerm
3374
def
150
ref
appTerm
3375
def
betaConv
nil
7
ref
3374
ref
appTerm
3376
def
axiom
nil
36
ref
3376
remove
nil
cons
cons
37
ref
3375
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3374
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3373
remove
nil
cons
cons
37
ref
3372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3371
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3370
remove
nil
cons
cons
37
ref
3369
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3368
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
trans
eqMp
eqMp
nil
84
ref
3347
remove
cons
3377
def
86
ref
3339
remove
cons
nil
cons
3378
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3343
remove
cons
3379
def
3378
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
"x'"
2
ref
var
3380
def
41
ref
3183
remove
3380
ref
varTerm
3381
def
appTerm
appTerm
3382
def
3338
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
3184
remove
appTerm
3383
def
3338
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
3330
ref
3378
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
proveHyp
eqMp
eqMp
nil
3335
remove
86
ref
3156
ref
cons
nil
cons
3384
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
2258
remove
3157
remove
cons
nil
cons
cons
3385
def
58
ref
subst
3385
remove
128
ref
subst
3146
remove
3147
remove
3148
remove
3159
ref
2045
remove
934
ref
assume
3386
def
eqMp
appThm
2471
ref
appThm
208
ref
appThm
3163
remove
210
ref
3164
ref
212
ref
641
ref
63
ref
appTerm
3387
def
3167
ref
appTerm
3168
ref
appTerm
appTerm
3167
ref
appTerm
absTerm
3388
def
3168
remove
appTerm
3389
def
betaConv
3166
ref
118
ref
3388
ref
appTerm
3390
def
absTerm
3391
def
3167
remove
appTerm
3392
def
betaConv
nil
118
ref
3391
ref
appTerm
3393
def
axiom
nil
36
ref
3393
remove
nil
cons
cons
37
ref
3392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
ref
119
ref
3391
remove
nil
cons
cons
3175
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3390
remove
nil
cons
cons
37
ref
3389
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
663
remove
119
ref
3388
remove
nil
cons
cons
3176
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3394
def
subst
3395
def
subst
trans
appThm
appThm
appThm
sym
3199
ref
20
ref
appTerm
3396
def
betaConv
3201
ref
150
ref
appTerm
3397
def
betaConv
3203
remove
nil
3205
remove
37
ref
3397
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3201
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3200
remove
nil
cons
cons
37
ref
3396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3199
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3398
def
3386
remove
eqMp
nil
36
ref
3239
remove
cons
37
ref
3131
remove
3128
ref
appTerm
3399
def
nil
cons
3400
def
cons
nil
cons
3401
def
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
3179
ref
41
ref
3243
ref
appTerm
3399
ref
appTerm
3402
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3402
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3243
ref
nil
cons
3403
def
cons
3401
ref
cons
nil
cons
cons
3404
def
58
ref
subst
3404
remove
128
ref
subst
3244
remove
3243
remove
assume
eqMp
nil
36
ref
3196
ref
nil
cons
3405
def
cons
3401
remove
cons
nil
cons
cons
3406
def
109
ref
subst
proveHyp
3406
ref
58
ref
subst
3406
remove
128
ref
subst
40
ref
"_3489"
2
ref
var
3407
def
13
ref
3129
ref
3126
ref
3407
remove
varTerm
appTerm
appTerm
appTerm
3128
ref
appTerm
absTerm
3408
def
20
ref
appTerm
3409
def
appTerm
refl
3408
ref
3195
ref
appTerm
betaConv
appThm
88
ref
3409
remove
betaConv
appThm
13
ref
3129
remove
3126
remove
3195
ref
appTerm
3410
def
appTerm
appTerm
3128
ref
appTerm
3411
def
refl
appThm
trans
3408
remove
refl
3196
remove
assume
appThm
eqMp
sym
9
ref
47
ref
230
ref
3128
ref
appTerm
3412
def
20
ref
appTerm
appTerm
576
ref
3410
ref
appTerm
appTerm
absTerm
3413
def
3127
ref
appTerm
betaConv
sym
348
ref
365
ref
nil
511
ref
1536
remove
cons
nil
cons
cons
560
remove
subst
3363
remove
2588
ref
appThm
nil
71
ref
2579
ref
cons
nil
cons
nil
cons
cons
3414
def
520
ref
subst
trans
trans
appThm
454
ref
trans
sym
77
ref
eqMp
nil
36
ref
255
ref
13
ref
3127
ref
appTerm
23
ref
appTerm
appTerm
nil
cons
cons
37
ref
40
ref
3412
ref
3127
ref
appTerm
appTerm
63
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
9
ref
3127
remove
nil
cons
3415
def
cons
685
ref
cons
nil
cons
cons
nil
782
remove
37
ref
40
ref
1027
remove
appTerm
63
ref
appTerm
nil
cons
3416
def
cons
nil
cons
cons
nil
cons
cons
3417
def
58
ref
subst
3417
remove
128
ref
subst
nil
71
ref
1150
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
1097
remove
109
ref
subst
1096
remove
1093
remove
1481
remove
nil
1034
remove
37
ref
1092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1067
remove
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
1030
remove
nil
cons
cons
37
ref
1095
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
1094
remove
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
1148
remove
cons
86
ref
1150
remove
cons
nil
cons
cons
nil
cons
cons
293
ref
subst
proveHyp
eqMp
eqMp
nil
788
remove
86
ref
3416
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
subst
eqMp
appThm
nil
9
ref
3195
ref
nil
cons
cons
3418
def
592
ref
cons
nil
cons
cons
88
ref
nil
931
remove
9
ref
672
ref
150
ref
appTerm
3419
def
nil
cons
3420
def
cons
3421
def
nil
cons
3422
def
cons
nil
cons
cons
9
ref
40
ref
1668
ref
appTerm
1667
remove
appTerm
3423
def
absTerm
3424
def
20
ref
appTerm
3425
def
betaConv
146
ref
7
ref
3424
ref
appTerm
3426
def
absTerm
3427
def
150
ref
appTerm
3428
def
betaConv
8
ref
146
ref
8
ref
9
ref
3423
remove
assume
sym
1669
remove
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
1676
remove
eqMp
nil
36
ref
7
ref
3427
ref
appTerm
nil
cons
cons
37
ref
3428
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3427
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3426
remove
nil
cons
cons
37
ref
3425
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3424
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3429
def
subst
365
ref
nil
511
ref
148
ref
cons
nil
cons
cons
3430
def
nil
36
ref
973
ref
nil
cons
3431
def
cons
3432
def
37
ref
40
ref
230
ref
3419
ref
appTerm
3433
def
673
ref
appTerm
3434
def
appTerm
3435
def
240
ref
47
ref
349
ref
233
ref
appTerm
3436
def
671
ref
appTerm
3437
def
appTerm
243
ref
appTerm
3438
def
appTerm
3439
def
47
ref
957
ref
appTerm
3440
def
47
ref
2438
ref
appTerm
3441
def
360
ref
appTerm
3442
def
appTerm
appTerm
appTerm
3443
def
nil
cons
3444
def
cons
nil
cons
3445
def
cons
nil
cons
cons
3446
def
58
ref
subst
3446
remove
128
ref
subst
3435
remove
refl
3439
remove
refl
348
ref
nil
3432
ref
37
ref
40
ref
957
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
958
ref
cons
3447
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
3448
def
appThm
3442
ref
refl
3449
def
appThm
nil
71
ref
3442
ref
nil
cons
cons
nil
cons
nil
cons
cons
3450
def
520
ref
subst
trans
appThm
nil
71
ref
3438
ref
nil
cons
3451
def
cons
nil
cons
nil
cons
cons
724
ref
subst
trans
appThm
sym
nil
36
ref
3434
ref
nil
cons
3452
def
cons
37
ref
3451
ref
cons
nil
cons
cons
nil
cons
cons
294
ref
subst
nil
1211
ref
3452
ref
cons
1208
ref
3451
ref
cons
nil
cons
cons
nil
cons
cons
nil
1217
remove
37
ref
2713
remove
1221
ref
1344
remove
appTerm
appTerm
nil
cons
3453
def
cons
nil
cons
3454
def
cons
nil
cons
cons
3455
def
58
ref
subst
3455
remove
128
ref
subst
40
ref
"_416"
3
ref
var
3456
def
40
ref
41
ref
3456
remove
varTerm
3457
def
appTerm
1218
ref
appTerm
appTerm
1221
ref
255
ref
3457
remove
appTerm
appTerm
appTerm
absTerm
3458
def
1213
remove
appTerm
3459
def
appTerm
refl
3460
def
3458
ref
265
ref
appTerm
betaConv
appThm
88
ref
3459
remove
betaConv
appThm
3461
def
2724
remove
1221
ref
453
ref
appTerm
appTerm
refl
appThm
trans
3458
remove
refl
3462
def
1233
remove
appThm
eqMp
sym
2726
remove
1221
ref
refl
3463
def
454
ref
appThm
1257
remove
trans
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
1242
remove
86
ref
3453
ref
cons
nil
cons
3464
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
1246
remove
3454
remove
cons
nil
cons
cons
3465
def
58
ref
subst
3465
remove
128
ref
subst
3460
remove
"_414"
3
ref
var
3466
def
40
ref
41
ref
3466
remove
varTerm
3467
def
appTerm
1218
ref
appTerm
appTerm
1221
ref
255
ref
3467
remove
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
3461
remove
2732
remove
1221
remove
440
ref
appTerm
appTerm
refl
appThm
trans
3462
remove
1251
remove
appThm
eqMp
sym
2733
remove
3463
remove
441
ref
appThm
1239
remove
trans
appThm
sym
40
ref
1218
remove
appTerm
refl
1240
remove
appThm
1241
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
eqMp
nil
1258
ref
3464
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1261
remove
nil
1258
remove
1262
remove
757
ref
3453
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
3468
def
subst
sym
274
ref
nil
955
ref
2038
ref
cons
956
ref
3437
ref
nil
cons
3469
def
cons
nil
cons
cons
nil
cons
cons
972
ref
subst
251
ref
nil
2424
ref
235
ref
cons
nil
cons
cons
943
ref
20
ref
appTerm
3470
def
betaConv
945
ref
150
ref
appTerm
3471
def
betaConv
947
remove
nil
1999
remove
37
ref
3471
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
945
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
944
remove
nil
cons
cons
37
ref
3470
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
943
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3472
def
subst
appThm
1677
ref
appThm
trans
appThm
nil
710
remove
146
ref
3420
ref
cons
nil
cons
3473
def
cons
nil
cons
cons
3474
def
1677
remove
subst
appThm
sym
274
ref
251
ref
2117
ref
563
ref
appThm
3475
def
nil
624
ref
685
ref
cons
nil
cons
cons
250
ref
subst
3476
def
240
ref
675
ref
564
ref
appTerm
3477
def
appTerm
3478
def
refl
3479
def
nil
25
remove
685
ref
cons
nil
cons
cons
250
ref
subst
3480
def
2033
remove
686
ref
308
ref
subst
3481
def
appThm
2063
ref
724
ref
subst
trans
trans
3482
def
appThm
trans
trans
appThm
1668
ref
refl
3483
def
appThm
appThm
1734
ref
3419
ref
appTerm
3484
def
refl
3485
def
appThm
sym
274
ref
251
ref
251
ref
675
remove
refl
3486
def
145
ref
sym
3487
def
appThm
appThm
3448
ref
appThm
725
remove
trans
appThm
3483
ref
appThm
appThm
3485
remove
appThm
sym
nil
36
ref
677
ref
1668
ref
appTerm
3488
def
nil
cons
3489
def
cons
37
ref
3484
ref
nil
cons
3490
def
cons
nil
cons
3491
def
cons
nil
cons
cons
3492
def
58
ref
subst
3492
remove
128
ref
subst
nil
3308
remove
3491
ref
cons
nil
cons
cons
3493
def
58
ref
subst
3493
remove
128
ref
subst
3430
ref
3398
remove
subst
1668
ref
assume
eqMp
nil
3185
remove
3491
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
3179
ref
3341
remove
3484
ref
appTerm
3494
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3494
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
3344
remove
3491
ref
cons
nil
cons
cons
3495
def
58
ref
subst
3495
remove
128
ref
subst
3346
remove
nil
3348
remove
3491
ref
cons
nil
cons
cons
3496
def
109
ref
subst
proveHyp
3496
ref
58
ref
subst
3496
remove
128
ref
subst
40
ref
"_3209"
2
ref
var
3497
def
1734
ref
672
ref
3497
remove
varTerm
appTerm
appTerm
absTerm
3498
def
150
ref
appTerm
3499
def
appTerm
refl
3498
ref
3181
ref
appTerm
betaConv
appThm
88
ref
3499
remove
betaConv
appThm
1734
ref
672
ref
3181
ref
appTerm
3500
def
appTerm
3501
def
refl
appThm
trans
3498
remove
refl
3353
remove
appThm
eqMp
sym
3179
ref
3501
ref
absTerm
3502
def
3180
ref
appTerm
3503
def
betaConv
3504
def
1734
ref
refl
3505
def
2119
ref
206
remove
appThm
appThm
nil
2416
remove
nil
cons
cons
1773
ref
subst
trans
sym
77
ref
eqMp
nil
36
ref
1734
ref
672
ref
1867
remove
appTerm
appTerm
3506
def
nil
cons
cons
37
ref
7
ref
3179
ref
41
ref
3501
ref
appTerm
1734
ref
672
ref
196
remove
29
ref
3180
ref
appTerm
3507
def
appTerm
appTerm
appTerm
3508
def
appTerm
3509
def
absTerm
3510
def
appTerm
3511
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
3510
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3509
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3501
ref
nil
cons
3512
def
cons
37
ref
3508
remove
nil
cons
3513
def
cons
nil
cons
cons
nil
cons
cons
3514
def
58
ref
subst
3514
remove
128
ref
subst
3505
ref
2119
ref
nil
3364
ref
148
remove
cons
nil
cons
cons
413
ref
subst
appThm
nil
9
ref
3181
remove
nil
cons
cons
685
ref
cons
nil
cons
cons
167
ref
subst
trans
appThm
sym
895
remove
47
ref
1734
ref
896
ref
appTerm
appTerm
349
ref
896
remove
appTerm
1790
ref
3500
ref
appTerm
3515
def
appTerm
appTerm
absTerm
3516
def
611
remove
3500
ref
appTerm
3517
def
appTerm
betaConv
sym
3505
remove
nil
9
ref
3500
ref
nil
cons
3518
def
cons
nil
cons
nil
cons
cons
616
remove
subst
appThm
nil
71
ref
3512
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
3501
remove
assume
eqMp
trans
sym
77
ref
eqMp
nil
36
ref
1734
ref
3517
ref
appTerm
nil
cons
cons
37
ref
349
ref
3517
ref
appTerm
3515
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
2424
ref
573
ref
3518
remove
cons
598
ref
cons
cons
nil
cons
cons
573
ref
40
ref
1801
remove
1827
remove
appTerm
appTerm
2261
remove
2065
ref
appTerm
appTerm
absTerm
3519
def
574
ref
appTerm
3520
def
betaConv
9
ref
7
ref
3519
ref
appTerm
3521
def
absTerm
3522
def
20
ref
appTerm
3523
def
betaConv
146
ref
7
ref
3522
ref
appTerm
3524
def
absTerm
3525
def
150
ref
appTerm
3526
def
betaConv
nil
7
ref
3525
ref
appTerm
3527
def
axiom
nil
36
ref
3527
remove
nil
cons
cons
37
ref
3526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3525
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3524
remove
nil
cons
cons
37
ref
3523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3522
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3521
remove
nil
cons
cons
37
ref
3520
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3519
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3528
def
subst
sym
nil
3432
ref
37
ref
571
remove
671
ref
appTerm
3529
def
nil
cons
3530
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
1211
remove
3431
ref
cons
1208
remove
3530
ref
cons
nil
cons
cons
nil
cons
cons
3468
remove
subst
sym
274
ref
nil
2424
ref
598
remove
cons
nil
cons
cons
3472
remove
subst
appThm
2063
ref
979
ref
subst
appThm
sym
274
ref
2117
remove
145
ref
appThm
3482
remove
trans
appThm
957
ref
refl
appThm
2063
remove
2818
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
eqMp
3531
def
nil
84
ref
3530
ref
cons
86
ref
13
ref
3500
remove
appTerm
23
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
865
ref
subst
proveHyp
eqMp
eqMp
eqMp
110
ref
111
ref
3516
ref
nil
cons
cons
112
ref
3517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
3516
remove
appTerm
nil
cons
cons
37
ref
1734
remove
3515
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3515
remove
nil
cons
cons
949
remove
cons
nil
cons
cons
573
ref
41
ref
872
ref
9
ref
1796
remove
1553
remove
appTerm
3532
def
absTerm
3533
def
appTerm
3534
def
appTerm
3535
def
933
ref
574
ref
appTerm
3536
def
appTerm
3537
def
absTerm
3538
def
574
ref
appTerm
3539
def
betaConv
146
ref
7
ref
3538
ref
appTerm
3540
def
absTerm
3541
def
150
ref
appTerm
3542
def
betaConv
nil
7
ref
146
ref
7
ref
9
ref
7
ref
573
ref
41
ref
3532
ref
appTerm
3536
ref
appTerm
absTerm
3543
def
appTerm
3544
def
absTerm
3545
def
appTerm
3546
def
absTerm
3547
def
appTerm
3548
def
axiom
nil
36
ref
3548
ref
nil
cons
3549
def
cons
3550
def
37
ref
7
ref
3541
ref
appTerm
nil
cons
3551
def
cons
nil
cons
cons
nil
cons
cons
3552
def
109
ref
subst
proveHyp
3552
ref
58
ref
subst
3552
remove
128
ref
subst
nil
111
ref
3541
remove
nil
cons
cons
3553
def
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
3540
remove
nil
cons
3554
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
3538
remove
nil
cons
cons
3555
def
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
3537
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3534
remove
nil
cons
3556
def
cons
3557
def
37
ref
3536
ref
nil
cons
3558
def
cons
nil
cons
3559
def
cons
nil
cons
cons
3560
def
58
ref
subst
3560
remove
128
ref
subst
nil
3550
ref
3559
ref
cons
nil
cons
cons
3561
def
109
ref
subst
nil
3557
remove
37
ref
41
ref
3548
remove
appTerm
3536
remove
appTerm
3562
def
nil
cons
3563
def
cons
nil
cons
3564
def
cons
nil
cons
cons
109
ref
subst
nil
111
ref
9
ref
41
ref
3533
ref
20
ref
appTerm
3565
def
appTerm
3562
ref
appTerm
3566
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
3566
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3565
ref
nil
cons
3567
def
cons
3564
ref
cons
nil
cons
cons
3568
def
58
ref
subst
3568
remove
128
ref
subst
3565
ref
betaConv
3565
remove
assume
eqMp
nil
36
ref
3532
remove
nil
cons
3569
def
cons
3570
def
3564
remove
cons
nil
cons
cons
3571
def
109
ref
subst
proveHyp
3571
ref
58
ref
subst
3571
remove
128
ref
subst
3561
ref
58
ref
subst
3561
remove
128
ref
subst
nil
3570
remove
3559
remove
cons
nil
cons
cons
109
ref
subst
3543
ref
574
ref
appTerm
3572
def
betaConv
3545
ref
20
ref
appTerm
3573
def
betaConv
3547
ref
150
ref
appTerm
3574
def
betaConv
nil
3550
remove
37
ref
3574
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
3547
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3546
remove
nil
cons
cons
37
ref
3573
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3545
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3544
remove
nil
cons
cons
37
ref
3572
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3543
remove
nil
cons
cons
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3549
remove
cons
3575
def
86
ref
3558
remove
cons
nil
cons
3576
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3569
remove
cons
86
ref
3563
remove
cons
nil
cons
3577
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3567
remove
cons
3577
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
112
ref
41
ref
3533
ref
671
ref
appTerm
appTerm
3562
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
3535
remove
3562
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3533
remove
nil
cons
cons
3577
remove
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3556
remove
cons
3576
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
3575
remove
86
ref
3551
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
3551
remove
cons
37
ref
3542
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
3553
remove
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3554
remove
cons
37
ref
3539
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
3555
remove
592
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3578
def
subst
eqMp
eqMp
eqMp
nil
84
ref
3512
remove
cons
86
ref
3513
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
3506
remove
appTerm
3511
remove
appTerm
nil
cons
cons
37
ref
7
ref
3502
ref
appTerm
nil
cons
3579
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
3502
ref
23
ref
appTerm
betaConv
appThm
8
ref
3179
ref
274
ref
3504
ref
appThm
3502
ref
3507
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
3179
ref
3504
remove
absThm
appThm
appThm
nil
415
ref
3502
remove
nil
cons
3580
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
36
ref
3579
remove
cons
37
ref
3503
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3580
remove
cons
112
ref
3354
remove
cons
nil
cons
3581
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
3377
remove
86
ref
3490
ref
cons
nil
cons
3582
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
3379
remove
3582
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
3380
ref
3382
remove
3484
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
3383
remove
3484
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
3330
remove
3582
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
3294
ref
cons
3582
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
691
ref
cons
3491
remove
cons
nil
cons
cons
3583
def
58
ref
subst
3583
remove
128
ref
subst
350
ref
1837
ref
676
remove
assume
appThm
3584
def
208
ref
appThm
621
remove
623
remove
nil
36
ref
619
remove
cons
37
ref
620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
622
remove
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3585
def
trans
appThm
3584
remove
2471
ref
appThm
513
ref
3585
ref
subst
trans
appThm
1774
remove
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
691
remove
cons
3586
def
3582
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
3586
remove
86
ref
3294
ref
cons
757
ref
3490
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
eqMp
nil
84
ref
3489
ref
cons
3582
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
36
ref
41
ref
3434
ref
appTerm
3438
ref
appTerm
nil
cons
cons
37
ref
41
ref
3438
remove
appTerm
3434
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
36
ref
3451
ref
cons
37
ref
3452
ref
cons
nil
cons
3587
def
cons
nil
cons
cons
3588
def
58
ref
subst
3588
remove
128
ref
subst
nil
84
ref
3469
ref
cons
86
ref
2038
ref
cons
nil
cons
cons
nil
cons
cons
3589
def
100
ref
subst
3589
remove
293
ref
subst
9
ref
40
ref
243
ref
appTerm
872
ref
3179
ref
359
remove
184
ref
3507
ref
appTerm
3590
def
appTerm
3591
def
absTerm
3592
def
appTerm
3593
def
appTerm
absTerm
3594
def
20
ref
appTerm
3595
def
betaConv
146
ref
7
ref
3594
ref
appTerm
3596
def
absTerm
3597
def
150
ref
appTerm
3598
def
betaConv
nil
7
ref
3597
ref
appTerm
3599
def
axiom
nil
36
ref
3599
remove
nil
cons
cons
37
ref
3598
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3597
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3596
remove
nil
cons
cons
37
ref
3595
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3594
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
243
ref
assume
eqMp
nil
36
ref
3593
ref
nil
cons
cons
3587
ref
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
111
ref
3179
ref
41
ref
3592
ref
3180
ref
appTerm
3600
def
appTerm
3434
ref
appTerm
3601
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3601
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3600
ref
nil
cons
3602
def
cons
3587
ref
cons
nil
cons
cons
3603
def
58
ref
subst
3603
remove
128
ref
subst
3600
ref
betaConv
3600
remove
assume
eqMp
nil
36
ref
3591
ref
nil
cons
3604
def
cons
3587
remove
cons
nil
cons
cons
3605
def
109
ref
subst
proveHyp
3605
ref
58
ref
subst
3605
remove
128
ref
subst
40
ref
"_3211"
2
ref
var
3606
def
3433
ref
672
ref
3606
remove
varTerm
appTerm
appTerm
absTerm
3607
def
20
ref
appTerm
3608
def
appTerm
refl
3607
ref
3590
ref
appTerm
betaConv
appThm
88
ref
3608
remove
betaConv
appThm
3433
ref
672
ref
3590
remove
appTerm
3609
def
appTerm
3610
def
refl
appThm
trans
3607
remove
refl
3591
remove
assume
appThm
eqMp
sym
3179
ref
3610
ref
absTerm
3611
def
3180
ref
appTerm
3612
def
betaConv
3613
def
3433
ref
refl
3614
def
2119
ref
27
ref
413
ref
subst
141
ref
205
ref
appThm
trans
appThm
nil
511
ref
685
ref
cons
nil
cons
cons
167
ref
subst
trans
appThm
sym
9
ref
47
ref
3433
ref
20
ref
appTerm
appTerm
3615
def
576
ref
1790
ref
3419
ref
appTerm
3616
def
appTerm
appTerm
absTerm
3617
def
342
remove
3419
ref
appTerm
3618
def
appTerm
betaConv
sym
3614
ref
nil
3422
remove
nil
cons
cons
347
remove
subst
appThm
nil
3421
remove
3473
ref
cons
nil
cons
cons
9
ref
40
ref
239
ref
399
ref
appTerm
appTerm
358
remove
appTerm
absTerm
3619
def
20
ref
appTerm
3620
def
betaConv
146
ref
7
ref
3619
ref
appTerm
3621
def
absTerm
3622
def
150
ref
appTerm
3623
def
betaConv
nil
7
ref
3622
ref
appTerm
3624
def
axiom
nil
36
ref
3624
remove
nil
cons
cons
37
ref
3623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3622
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3621
remove
nil
cons
cons
37
ref
3620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3619
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
513
remove
981
ref
subst
251
ref
365
ref
3448
ref
appThm
454
ref
trans
appThm
986
ref
appThm
989
remove
trans
trans
trans
trans
sym
77
ref
eqMp
nil
36
ref
3433
ref
3618
ref
appTerm
nil
cons
cons
37
ref
349
ref
3618
ref
appTerm
3616
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
2424
ref
573
ref
3420
remove
cons
235
remove
cons
cons
nil
cons
cons
3528
ref
subst
251
ref
nil
71
ref
3469
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
3437
remove
assume
eqMp
appThm
13
ref
3419
ref
appTerm
3625
def
23
ref
appTerm
3626
def
refl
appThm
nil
71
ref
3626
remove
nil
cons
cons
nil
cons
nil
cons
cons
315
ref
subst
trans
trans
sym
77
ref
eqMp
eqMp
eqMp
110
ref
111
ref
3617
ref
nil
cons
cons
112
ref
3618
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
3617
remove
appTerm
nil
cons
cons
37
ref
3433
ref
3616
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3616
remove
nil
cons
cons
3473
ref
cons
nil
cons
cons
1613
ref
subst
eqMp
eqMp
nil
36
ref
3433
ref
672
ref
184
ref
564
ref
appTerm
appTerm
appTerm
3627
def
nil
cons
cons
37
ref
7
ref
3179
ref
41
ref
3610
ref
appTerm
3433
ref
672
ref
184
remove
29
ref
3507
ref
appTerm
appTerm
appTerm
appTerm
3628
def
appTerm
3629
def
absTerm
3630
def
appTerm
3631
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
3630
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
3179
ref
nil
71
ref
3629
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3610
ref
nil
cons
3632
def
cons
37
ref
3628
remove
nil
cons
3633
def
cons
nil
cons
cons
nil
cons
cons
3634
def
58
ref
subst
3634
remove
128
ref
subst
3614
remove
2119
ref
nil
9
ref
3507
ref
nil
cons
cons
nil
cons
nil
cons
cons
413
ref
subst
141
remove
nil
3364
remove
nil
cons
nil
cons
cons
3635
def
413
remove
subst
3636
def
appThm
trans
appThm
nil
9
ref
29
remove
3195
ref
appTerm
nil
cons
cons
685
ref
cons
nil
cons
cons
167
ref
subst
1790
ref
refl
nil
3418
remove
685
ref
cons
nil
cons
cons
167
ref
subst
3637
def
appThm
trans
trans
appThm
sym
9
ref
3615
remove
576
ref
1790
ref
1790
ref
672
remove
3195
ref
appTerm
3638
def
appTerm
appTerm
3639
def
appTerm
appTerm
absTerm
3640
def
3609
ref
appTerm
betaConv
sym
348
ref
nil
71
ref
3632
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
3610
remove
assume
eqMp
appThm
349
ref
3609
ref
appTerm
3639
ref
appTerm
3641
def
refl
appThm
nil
71
ref
3641
remove
nil
cons
cons
nil
cons
nil
cons
cons
447
ref
subst
trans
sym
350
remove
2119
remove
3636
remove
appThm
3637
remove
trans
appThm
nil
573
ref
3638
ref
nil
cons
cons
3642
def
2424
remove
685
ref
cons
cons
nil
cons
cons
1941
remove
subst
appThm
nil
9
ref
1790
ref
671
remove
appTerm
3643
def
nil
cons
3644
def
cons
3642
remove
685
ref
cons
cons
nil
cons
cons
3528
remove
subst
trans
sym
9
ref
47
ref
1730
ref
20
ref
appTerm
appTerm
576
remove
3643
ref
appTerm
appTerm
absTerm
3645
def
1790
remove
172
ref
appTerm
3646
def
appTerm
betaConv
sym
1730
ref
refl
686
remove
1865
remove
subst
appThm
nil
2425
remove
nil
cons
cons
1773
remove
subst
trans
sym
77
ref
eqMp
nil
36
ref
1730
ref
3646
ref
appTerm
nil
cons
cons
37
ref
349
ref
3646
ref
appTerm
3643
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
573
ref
683
remove
cons
567
remove
685
ref
cons
3647
def
cons
nil
cons
cons
1563
remove
subst
sym
3531
remove
nil
3447
ref
86
ref
3530
ref
cons
nil
cons
cons
nil
cons
cons
844
remove
851
remove
71
ref
852
remove
856
remove
857
remove
861
remove
862
remove
nil
36
ref
1457
remove
cons
859
remove
cons
nil
cons
cons
109
ref
subst
846
remove
assume
eqMp
eqMp
863
remove
deductAntisym
eqMp
eqMp
864
remove
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
subst
proveHyp
eqMp
eqMp
eqMp
110
ref
111
ref
3645
ref
nil
cons
cons
112
ref
3646
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
3645
remove
appTerm
nil
cons
cons
37
ref
1730
ref
3643
remove
appTerm
nil
cons
3648
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3644
remove
cons
685
remove
cons
nil
cons
cons
3578
remove
subst
eqMp
nil
84
ref
3648
remove
cons
86
ref
13
ref
3638
remove
appTerm
23
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
865
remove
subst
proveHyp
eqMp
eqMp
eqMp
110
ref
111
ref
3640
ref
nil
cons
cons
112
ref
3609
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1566
ref
subst
proveHyp
nil
36
ref
872
ref
3640
remove
appTerm
nil
cons
cons
37
ref
3433
remove
3639
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3639
remove
nil
cons
cons
3473
remove
cons
nil
cons
cons
1613
ref
subst
eqMp
eqMp
eqMp
nil
84
ref
3632
remove
cons
86
ref
3633
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
3627
remove
appTerm
3631
remove
appTerm
nil
cons
cons
37
ref
7
ref
3611
ref
appTerm
nil
cons
3649
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
3611
ref
23
ref
appTerm
betaConv
appThm
8
ref
3179
ref
274
ref
3613
ref
appThm
3611
ref
3507
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
3179
remove
3613
remove
absThm
appThm
appThm
nil
415
ref
3611
remove
nil
cons
3650
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
36
ref
3649
remove
cons
37
ref
3612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3650
remove
cons
3581
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3604
remove
cons
86
ref
3452
remove
cons
nil
cons
3651
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3602
remove
cons
3651
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
3380
ref
41
ref
3592
ref
3381
ref
appTerm
appTerm
3434
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
3593
remove
appTerm
3434
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3592
remove
nil
cons
cons
3651
ref
cons
nil
cons
cons
1479
ref
subst
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
84
ref
3451
remove
cons
3651
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3431
ref
cons
3652
def
86
ref
3444
ref
cons
nil
cons
3653
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
958
ref
cons
3654
def
3445
remove
cons
nil
cons
cons
3655
def
58
ref
subst
3655
remove
128
ref
subst
88
ref
333
ref
1837
ref
957
ref
assume
3656
def
appThm
3657
def
2471
remove
appThm
appThm
3657
remove
208
ref
appThm
appThm
appThm
251
ref
348
ref
3436
ref
refl
3656
ref
appThm
appThm
243
remove
refl
3658
def
appThm
appThm
348
ref
14
ref
3656
ref
appThm
3659
def
431
ref
appThm
253
ref
trans
3660
def
appThm
3449
ref
appThm
3450
ref
447
ref
subst
trans
appThm
appThm
sym
40
ref
230
ref
456
ref
150
ref
appTerm
3661
def
appTerm
3662
def
463
ref
appTerm
appTerm
3663
def
refl
251
ref
348
ref
nil
237
remove
2908
remove
nil
cons
3664
def
cons
nil
cons
cons
3429
ref
subst
365
ref
232
ref
563
ref
appThm
nil
624
ref
238
ref
cons
nil
cons
cons
250
ref
subst
240
ref
458
ref
564
ref
appTerm
3665
def
appTerm
refl
316
ref
appThm
nil
71
ref
3665
remove
nil
cons
cons
nil
cons
nil
cons
cons
697
ref
subst
trans
trans
3666
def
trans
appThm
441
ref
trans
trans
appThm
3658
remove
appThm
nil
71
ref
2038
remove
cons
nil
cons
nil
cons
cons
520
ref
subst
trans
appThm
3449
remove
appThm
3450
remove
1178
ref
subst
trans
appThm
sym
9
ref
3663
remove
3442
remove
appTerm
3667
def
absTerm
3668
def
20
ref
appTerm
3669
def
betaConv
3670
def
88
ref
3662
ref
refl
3671
def
375
ref
appThm
appThm
3441
ref
refl
3672
def
253
remove
appThm
3414
ref
1715
ref
subst
trans
appThm
sym
146
ref
40
ref
3662
ref
172
ref
appTerm
appTerm
2438
ref
appTerm
3673
def
absTerm
3674
def
150
ref
appTerm
3675
def
betaConv
3676
def
88
ref
333
ref
375
remove
appThm
688
ref
appThm
568
remove
9
ref
255
ref
320
remove
20
ref
appTerm
3677
def
appTerm
3678
def
absTerm
3679
def
20
ref
appTerm
3680
def
betaConv
nil
7
ref
3679
ref
appTerm
3681
def
axiom
nil
36
ref
3681
remove
nil
cons
cons
37
ref
3680
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3679
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3678
remove
nil
cons
cons
37
ref
40
ref
3677
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
84
ref
3677
remove
nil
cons
cons
nil
cons
nil
cons
cons
307
ref
subst
eqMp
subst
trans
appThm
442
remove
appThm
455
ref
trans
sym
77
ref
eqMp
nil
36
ref
40
ref
230
ref
457
ref
appTerm
172
ref
appTerm
appTerm
461
remove
appTerm
3682
def
nil
cons
cons
37
ref
7
ref
146
ref
41
ref
3673
ref
appTerm
40
ref
230
ref
456
ref
334
ref
appTerm
appTerm
172
ref
appTerm
appTerm
255
ref
496
remove
appTerm
appTerm
3683
def
appTerm
3684
def
absTerm
3685
def
appTerm
3686
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
3685
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
3684
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3673
remove
nil
cons
3687
def
cons
37
ref
3683
remove
nil
cons
3688
def
cons
nil
cons
cons
nil
cons
cons
3689
def
58
ref
subst
3689
remove
128
ref
subst
88
ref
333
ref
nil
511
remove
238
remove
cons
nil
cons
cons
167
remove
subst
nil
9
ref
3661
remove
nil
cons
3690
def
cons
nil
cons
nil
cons
cons
480
ref
subst
trans
appThm
688
ref
appThm
appThm
365
ref
514
remove
appThm
454
ref
trans
appThm
nil
71
ref
231
remove
172
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
3691
def
2894
remove
subst
trans
sym
232
remove
145
ref
appThm
316
remove
trans
sym
77
ref
eqMp
3692
def
eqMp
eqMp
nil
84
ref
3687
remove
cons
86
ref
3688
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
3682
remove
appTerm
3686
remove
appTerm
nil
cons
cons
37
ref
7
ref
3674
ref
appTerm
nil
cons
3693
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
3674
ref
23
ref
appTerm
betaConv
appThm
8
ref
146
ref
274
ref
3676
ref
appThm
3674
ref
334
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
146
ref
3676
remove
absThm
appThm
appThm
nil
415
ref
3674
remove
nil
cons
3694
def
cons
nil
cons
nil
cons
cons
428
ref
subst
eqMp
eqMp
nil
36
ref
3693
remove
cons
37
ref
3675
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3694
remove
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
nil
36
ref
40
ref
3662
ref
457
remove
appTerm
appTerm
3441
ref
459
ref
appTerm
appTerm
3695
def
nil
cons
cons
37
ref
7
ref
9
ref
41
ref
3667
ref
appTerm
40
ref
3662
remove
467
remove
appTerm
appTerm
3441
remove
432
remove
appTerm
appTerm
3696
def
appTerm
3697
def
absTerm
3698
def
appTerm
3699
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
111
ref
3698
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
3697
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3667
remove
nil
cons
3700
def
cons
37
ref
3696
remove
nil
cons
3701
def
cons
nil
cons
cons
nil
cons
cons
3702
def
58
ref
subst
3702
remove
128
ref
subst
88
ref
3671
remove
481
remove
appThm
nil
146
ref
3690
remove
cons
nil
cons
nil
cons
cons
308
ref
subst
trans
appThm
3672
remove
437
remove
appThm
3414
ref
554
remove
subst
trans
appThm
455
remove
trans
sym
77
ref
eqMp
eqMp
nil
84
ref
3700
remove
cons
86
ref
3701
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
36
ref
47
ref
3695
remove
appTerm
3699
remove
appTerm
nil
cons
cons
37
ref
7
ref
3668
ref
appTerm
nil
cons
3703
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
3668
ref
23
ref
appTerm
betaConv
appThm
8
ref
9
ref
274
ref
3670
ref
appThm
3668
ref
152
remove
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
8
ref
9
ref
3670
remove
absThm
appThm
appThm
nil
415
ref
3668
remove
nil
cons
3704
def
cons
nil
cons
nil
cons
cons
428
remove
subst
eqMp
eqMp
nil
36
ref
3703
remove
cons
37
ref
3669
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3704
remove
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
nil
3447
ref
3653
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
ref
957
ref
appTerm
3705
def
betaConv
1440
ref
nil
1441
ref
37
ref
3705
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
ref
226
ref
958
ref
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
3447
ref
86
ref
3431
remove
cons
757
ref
3444
ref
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
3706
def
subst
251
ref
348
ref
nil
684
remove
3664
ref
cons
nil
cons
cons
3429
ref
subst
appThm
2259
remove
appThm
appThm
3440
remove
923
ref
367
ref
appTerm
3707
def
appTerm
3708
def
refl
appThm
trans
appThm
nil
955
ref
3708
remove
nil
cons
cons
956
ref
47
ref
255
ref
2001
remove
233
remove
appTerm
3709
def
appTerm
3710
def
appTerm
932
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
2423
remove
subst
348
ref
nil
955
ref
2236
remove
cons
956
ref
3710
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
972
ref
subst
251
ref
nil
71
ref
3709
ref
nil
cons
cons
nil
cons
nil
cons
cons
979
remove
subst
appThm
2257
ref
appThm
trans
appThm
nil
955
ref
3707
remove
nil
cons
cons
959
remove
cons
nil
cons
cons
972
ref
subst
975
remove
nil
955
ref
987
ref
cons
956
ref
548
remove
cons
nil
cons
cons
nil
cons
cons
972
remove
subst
1303
remove
2588
remove
appThm
trans
appThm
trans
appThm
trans
trans
trans
appThm
626
remove
1
remove
3
ref
39
remove
nil
cons
cons
opType
constTerm
3711
def
957
ref
appTerm
3712
def
41
ref
367
ref
appTerm
3713
def
360
ref
appTerm
3714
def
appTerm
3715
def
refl
690
remove
nil
147
ref
512
remove
cons
nil
cons
cons
3429
ref
subst
appThm
appThm
appThm
sym
88
ref
"_3213"
3
ref
var
3716
def
40
ref
47
ref
240
ref
3709
remove
appTerm
2230
ref
appTerm
appTerm
3717
def
974
remove
894
remove
2438
ref
appTerm
3718
def
appTerm
appTerm
appTerm
3719
def
3716
remove
varTerm
appTerm
absTerm
3720
def
3715
ref
677
ref
2230
ref
appTerm
3721
def
appTerm
appTerm
betaConv
appThm
348
ref
41
ref
957
ref
appTerm
3722
def
refl
3723
def
3720
ref
3714
ref
appTerm
betaConv
appThm
appThm
41
ref
973
remove
appTerm
3724
def
refl
3725
def
3720
ref
3721
ref
appTerm
betaConv
appThm
appThm
appThm
nil
"_485"
3
ref
var
3726
def
3721
ref
nil
cons
cons
"_482"
3
ref
var
3727
def
3714
ref
nil
cons
3728
def
cons
636
remove
958
remove
cons
nil
cons
3729
def
cons
cons
nil
cons
cons
nil
"_484"
38
remove
var
3730
def
3720
remove
nil
cons
cons
nil
cons
nil
cons
cons
849
ref
666
remove
subst
3731
def
subst
subst
eqMp
sym
nil
3654
ref
37
ref
3719
ref
3714
ref
appTerm
3732
def
nil
cons
3733
def
cons
nil
cons
cons
nil
cons
cons
3734
def
58
ref
subst
3734
remove
128
ref
subst
40
ref
"_3215"
3
ref
var
3735
def
40
ref
3717
ref
240
ref
255
ref
3735
remove
varTerm
appTerm
appTerm
3718
ref
appTerm
appTerm
appTerm
3714
ref
appTerm
absTerm
3736
def
957
ref
appTerm
3737
def
appTerm
refl
3736
ref
63
ref
appTerm
betaConv
appThm
88
ref
3737
remove
betaConv
appThm
40
ref
3717
ref
1172
remove
3718
ref
appTerm
appTerm
appTerm
3714
ref
appTerm
refl
appThm
trans
3736
remove
refl
3660
ref
appThm
eqMp
sym
88
ref
348
ref
251
ref
333
ref
3656
remove
appThm
563
ref
appThm
3666
remove
trans
appThm
2257
ref
appThm
nil
71
ref
2230
ref
nil
cons
cons
nil
cons
nil
cons
cons
315
ref
subst
trans
appThm
1174
remove
3718
ref
refl
3738
def
appThm
nil
71
ref
3718
ref
nil
cons
cons
nil
cons
nil
cons
cons
3739
def
1178
ref
subst
trans
appThm
3739
ref
447
ref
subst
trans
appThm
3714
ref
refl
3740
def
appThm
sym
nil
36
ref
787
ref
cons
37
ref
40
ref
3718
ref
appTerm
3714
remove
appTerm
nil
cons
3741
def
cons
nil
cons
3742
def
cons
nil
cons
cons
3743
def
58
ref
subst
3743
remove
128
ref
subst
40
ref
"_3221"
3
ref
var
3744
def
40
ref
240
ref
3744
remove
varTerm
3745
def
appTerm
2438
ref
appTerm
appTerm
3713
ref
3745
remove
appTerm
appTerm
absTerm
3746
def
360
ref
appTerm
3747
def
appTerm
refl
3748
def
3746
ref
265
ref
appTerm
betaConv
appThm
88
ref
3747
remove
betaConv
appThm
3749
def
40
ref
738
ref
2438
ref
appTerm
appTerm
3713
ref
265
ref
appTerm
appTerm
refl
appThm
trans
3746
remove
refl
3750
def
786
remove
assume
appThm
eqMp
sym
88
ref
3414
ref
1178
ref
subst
appThm
988
ref
1042
ref
subst
appThm
nil
226
ref
2579
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
787
ref
cons
86
ref
3741
ref
cons
nil
cons
3751
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
785
remove
63
ref
appTerm
3752
def
nil
cons
3753
def
cons
3742
remove
cons
nil
cons
cons
3754
def
58
ref
subst
3754
remove
128
ref
subst
3748
remove
"_3219"
3
ref
var
3755
def
40
ref
240
ref
3755
remove
varTerm
3756
def
appTerm
2438
ref
appTerm
appTerm
3713
ref
3756
remove
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
3749
remove
40
ref
311
ref
2438
ref
appTerm
appTerm
3713
ref
63
ref
appTerm
appTerm
refl
appThm
trans
3750
remove
3752
remove
assume
appThm
eqMp
sym
88
ref
3414
remove
315
ref
subst
appThm
988
ref
1256
ref
subst
appThm
489
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
3753
remove
cons
3757
def
3751
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
360
ref
appTerm
3758
def
betaConv
754
ref
nil
755
ref
37
ref
3758
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
637
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
3757
remove
86
ref
787
remove
cons
757
ref
3741
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
3447
ref
86
ref
3733
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3722
ref
3732
remove
appTerm
nil
cons
cons
37
ref
3724
ref
3719
remove
3721
ref
appTerm
3759
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
3432
ref
37
ref
3759
remove
nil
cons
3760
def
cons
nil
cons
cons
nil
cons
cons
3761
def
58
ref
subst
3761
remove
128
ref
subst
40
ref
"_3217"
3
ref
var
3762
def
40
ref
3717
ref
240
ref
255
ref
3762
remove
varTerm
appTerm
appTerm
3718
ref
appTerm
appTerm
appTerm
3721
ref
appTerm
absTerm
3763
def
957
remove
appTerm
3764
def
appTerm
refl
3763
ref
265
ref
appTerm
betaConv
appThm
88
ref
3764
remove
betaConv
appThm
40
ref
3717
remove
1162
remove
3718
remove
appTerm
appTerm
appTerm
3721
remove
appTerm
refl
appThm
trans
3763
remove
refl
3448
ref
appThm
eqMp
sym
88
ref
348
ref
251
ref
3475
remove
3476
remove
3479
remove
3480
remove
251
ref
3448
ref
appThm
3481
remove
appThm
3366
ref
trans
trans
appThm
nil
71
ref
3477
remove
nil
cons
cons
nil
cons
nil
cons
cons
724
ref
subst
trans
trans
trans
appThm
2257
ref
appThm
appThm
1165
remove
3738
remove
appThm
3739
remove
315
ref
subst
trans
appThm
nil
71
ref
3478
remove
2230
remove
appTerm
nil
cons
3765
def
cons
nil
cons
nil
cons
cons
1715
ref
subst
trans
appThm
251
ref
3486
remove
145
remove
appThm
appThm
2257
remove
appThm
appThm
nil
226
ref
3765
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
3652
ref
86
ref
3760
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
3766
def
subst
nil
36
ref
1427
ref
cons
3767
def
37
ref
40
ref
240
ref
2064
remove
172
ref
appTerm
3768
def
appTerm
3769
def
933
ref
3195
ref
appTerm
appTerm
3770
def
appTerm
3771
def
63
ref
appTerm
3772
def
nil
cons
3773
def
cons
nil
cons
cons
nil
cons
cons
3774
def
58
ref
subst
3774
remove
128
ref
subst
3769
remove
refl
3635
remove
nil
71
ref
933
remove
399
remove
appTerm
3775
def
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
9
ref
3775
remove
absTerm
3776
def
20
ref
appTerm
3777
def
betaConv
146
ref
7
ref
3776
ref
appTerm
3778
def
absTerm
3779
def
150
ref
appTerm
3780
def
betaConv
nil
7
ref
3779
ref
appTerm
3781
def
axiom
nil
36
ref
3781
remove
nil
cons
cons
37
ref
3780
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3779
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3778
remove
nil
cons
cons
37
ref
3777
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
3776
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
subst
appThm
nil
71
ref
3768
remove
nil
cons
cons
nil
cons
nil
cons
cons
697
remove
subst
trans
eqMp
nil
84
ref
1427
remove
cons
3782
def
86
ref
3773
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
41
ref
453
remove
appTerm
3783
def
3772
remove
appTerm
nil
cons
cons
37
ref
40
ref
3711
ref
2065
ref
appTerm
3713
ref
13
ref
3195
remove
appTerm
23
ref
appTerm
3784
def
appTerm
3785
def
appTerm
3770
ref
appTerm
appTerm
3786
def
3711
ref
265
ref
appTerm
3787
def
3713
ref
13
ref
380
remove
3180
remove
appTerm
appTerm
23
ref
appTerm
3788
def
appTerm
3789
def
appTerm
3790
def
63
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"e'"
3
ref
var
3791
def
217
ref
cons
nil
cons
nil
cons
cons
nil
299
ref
37
ref
40
ref
3785
ref
appTerm
3792
def
3789
ref
appTerm
3793
def
nil
cons
3794
def
cons
nil
cons
3795
def
cons
nil
cons
cons
3796
def
58
ref
subst
3796
remove
128
ref
subst
nil
2581
ref
37
ref
40
ref
3784
ref
appTerm
3797
def
3788
ref
appTerm
3798
def
nil
cons
3799
def
cons
nil
cons
cons
nil
cons
cons
3800
def
58
ref
subst
3800
remove
128
ref
subst
14
ref
183
ref
refl
3801
def
2977
ref
appThm
3259
remove
appThm
appThm
431
ref
appThm
eqMp
nil
2887
ref
86
ref
3799
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3713
ref
3798
remove
appTerm
nil
cons
cons
3795
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"q'"
3
ref
var
3802
def
3788
remove
nil
cons
cons
nil
cons
nil
cons
cons
986
remove
nil
36
ref
2886
ref
367
ref
appTerm
nil
cons
cons
37
ref
41
ref
3713
ref
3797
remove
3802
ref
varTerm
3803
def
appTerm
3804
def
appTerm
appTerm
3792
ref
3713
remove
3803
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"p'"
3
ref
var
3805
def
987
remove
cons
nil
cons
nil
cons
cons
3802
ref
41
ref
2886
ref
3805
ref
varTerm
3806
def
appTerm
appTerm
41
ref
41
ref
3806
ref
appTerm
3807
def
3804
remove
appTerm
appTerm
3792
ref
3807
ref
3803
ref
appTerm
3808
def
appTerm
appTerm
appTerm
absTerm
3809
def
3803
ref
appTerm
3810
def
betaConv
3805
ref
222
ref
3809
ref
appTerm
3811
def
absTerm
3812
def
3806
ref
appTerm
3813
def
betaConv
nil
37
ref
3784
remove
nil
cons
cons
2582
remove
cons
nil
cons
cons
nil
225
ref
3805
ref
222
ref
3802
ref
41
ref
275
remove
3806
ref
appTerm
3814
def
appTerm
41
ref
3807
ref
40
ref
44
ref
appTerm
3803
ref
appTerm
3815
def
appTerm
3816
def
appTerm
46
remove
3808
ref
appTerm
3817
def
appTerm
3818
def
appTerm
3819
def
absTerm
3820
def
appTerm
3821
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
850
ref
subst
3805
remove
nil
71
ref
3821
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
225
ref
3820
remove
nil
cons
cons
nil
cons
nil
cons
cons
850
ref
subst
3802
remove
nil
71
ref
3819
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3814
remove
nil
cons
3822
def
cons
3823
def
37
ref
3818
remove
nil
cons
3824
def
cons
nil
cons
cons
nil
cons
cons
3825
def
58
ref
subst
3825
remove
128
ref
subst
nil
36
ref
3816
ref
nil
cons
3826
def
cons
37
ref
3817
remove
nil
cons
3827
def
cons
nil
cons
cons
nil
cons
cons
3828
def
58
ref
subst
3828
remove
128
ref
subst
nil
284
remove
37
ref
3808
ref
nil
cons
3829
def
cons
nil
cons
cons
nil
cons
cons
3830
def
294
remove
subst
3830
ref
58
ref
subst
3830
remove
128
ref
subst
nil
36
ref
3806
ref
nil
cons
3831
def
cons
3832
def
37
ref
3803
ref
nil
cons
3833
def
cons
nil
cons
3834
def
cons
nil
cons
cons
3835
def
58
ref
subst
3835
ref
128
ref
subst
nil
3823
ref
37
ref
43
remove
3806
remove
appTerm
3836
def
nil
cons
3837
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
36
ref
72
remove
cons
37
ref
3831
ref
cons
nil
cons
cons
nil
cons
cons
3838
def
1476
ref
subst
eqMp
3839
def
nil
36
ref
3837
ref
cons
3840
def
3834
ref
cons
nil
cons
cons
3841
def
109
ref
subst
proveHyp
nil
3823
remove
37
ref
3807
remove
42
remove
appTerm
3842
def
nil
cons
3843
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
3838
ref
nil
1471
remove
287
remove
cons
nil
cons
cons
3844
def
58
ref
subst
3844
remove
128
ref
subst
288
remove
eqMp
nil
1474
remove
291
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
3845
def
subst
eqMp
3846
def
nil
36
ref
3843
ref
cons
3847
def
37
ref
41
ref
3836
ref
appTerm
3848
def
3803
ref
appTerm
nil
cons
3849
def
cons
nil
cons
cons
nil
cons
cons
3850
def
109
ref
subst
proveHyp
3850
ref
58
ref
subst
3850
remove
128
ref
subst
3841
ref
58
ref
subst
3841
remove
128
ref
subst
nil
3832
ref
289
remove
cons
nil
cons
cons
109
ref
subst
3842
remove
assume
eqMp
3851
def
3838
remove
109
ref
subst
3836
remove
assume
eqMp
3852
def
3851
remove
proveHyp
proveHyp
nil
3832
remove
37
ref
3815
remove
nil
cons
3853
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
3816
remove
assume
eqMp
3854
def
nil
36
ref
3853
remove
cons
3855
def
37
ref
285
remove
3803
ref
appTerm
3856
def
nil
cons
3857
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
278
remove
3834
ref
cons
nil
cons
cons
3858
def
1476
remove
subst
eqMp
3859
def
nil
36
ref
3857
ref
cons
3860
def
3834
remove
cons
nil
cons
cons
3861
def
109
ref
subst
proveHyp
3854
remove
nil
3855
remove
37
ref
41
ref
3803
ref
appTerm
44
ref
appTerm
3862
def
nil
cons
3863
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
3858
ref
3845
remove
subst
eqMp
3864
def
nil
36
ref
3863
ref
cons
3865
def
37
ref
41
ref
3856
ref
appTerm
3866
def
3803
remove
appTerm
nil
cons
3867
def
cons
nil
cons
cons
nil
cons
cons
3868
def
109
ref
subst
proveHyp
3868
ref
58
ref
subst
3868
remove
128
ref
subst
3861
ref
58
ref
subst
3861
remove
128
ref
subst
108
remove
3858
remove
109
ref
subst
3856
remove
assume
eqMp
proveHyp
eqMp
nil
84
ref
3857
remove
cons
3869
def
86
ref
3833
ref
cons
nil
cons
3870
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3863
remove
cons
3871
def
86
ref
3867
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
84
ref
3837
remove
cons
3872
def
3870
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3843
remove
cons
3873
def
86
ref
3849
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3831
ref
cons
3870
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
290
remove
86
ref
3829
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
2968
remove
3808
ref
appTerm
nil
cons
cons
37
ref
41
ref
3808
ref
appTerm
45
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
36
ref
3829
ref
cons
1472
remove
cons
nil
cons
cons
3874
def
58
ref
subst
3874
remove
128
ref
subst
58
ref
128
ref
3839
remove
nil
3840
remove
279
ref
cons
nil
cons
cons
3875
def
109
ref
subst
proveHyp
3846
remove
nil
3847
remove
37
ref
3848
remove
44
ref
appTerm
nil
cons
3876
def
cons
nil
cons
cons
nil
cons
cons
3877
def
109
ref
subst
proveHyp
3877
ref
58
ref
subst
3877
remove
128
ref
subst
3875
ref
58
ref
subst
3875
remove
128
ref
subst
3852
remove
3859
remove
nil
3860
remove
279
ref
cons
nil
cons
cons
3878
def
109
ref
subst
proveHyp
3864
remove
nil
3865
remove
37
ref
3866
remove
44
remove
appTerm
nil
cons
3879
def
cons
nil
cons
cons
nil
cons
cons
3880
def
109
ref
subst
proveHyp
3880
ref
58
ref
subst
3880
remove
128
ref
subst
3878
ref
58
ref
subst
3878
remove
128
ref
subst
3835
remove
109
ref
subst
3808
remove
assume
eqMp
nil
36
ref
3833
ref
cons
279
remove
cons
nil
cons
cons
109
ref
subst
3862
remove
assume
eqMp
proveHyp
eqMp
nil
3869
remove
87
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
3871
remove
86
ref
3879
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
proveHyp
eqMp
nil
3872
remove
87
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
3873
remove
86
ref
3876
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
101
remove
deductAntisym
eqMp
eqMp
nil
84
ref
3829
remove
cons
1475
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
84
ref
3826
remove
cons
86
ref
3827
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
84
ref
3822
remove
cons
86
ref
3824
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
subst
nil
36
ref
222
ref
3812
ref
appTerm
nil
cons
cons
37
ref
3813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3812
remove
nil
cons
cons
226
ref
3831
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3811
remove
nil
cons
cons
37
ref
3810
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3809
remove
nil
cons
cons
226
ref
3833
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
eqMp
nil
306
ref
86
ref
3794
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
298
ref
3793
remove
appTerm
nil
cons
cons
37
ref
41
ref
3783
ref
3771
remove
3791
ref
varTerm
3881
def
appTerm
3882
def
appTerm
appTerm
3883
def
3786
ref
3790
remove
3881
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"t'"
3
ref
var
3884
def
3789
remove
nil
cons
3885
def
cons
nil
cons
nil
cons
cons
3362
remove
nil
36
ref
3360
remove
cons
37
ref
41
ref
298
ref
3792
remove
3884
ref
varTerm
3886
def
appTerm
3887
def
appTerm
appTerm
3883
remove
3786
ref
3787
remove
3886
ref
appTerm
3881
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"g'"
3
ref
var
3888
def
272
remove
cons
nil
cons
nil
cons
cons
3889
def
3791
remove
41
ref
3359
remove
3888
ref
varTerm
3890
def
appTerm
appTerm
41
ref
41
ref
3890
ref
appTerm
3891
def
3887
remove
appTerm
appTerm
41
ref
41
ref
255
ref
3890
ref
appTerm
appTerm
3892
def
3882
remove
appTerm
appTerm
3786
remove
3711
ref
3890
ref
appTerm
3886
ref
appTerm
3881
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
3893
def
3881
ref
appTerm
3894
def
betaConv
3884
remove
222
ref
3893
ref
appTerm
3895
def
absTerm
3896
def
3886
ref
appTerm
3897
def
betaConv
3888
ref
222
ref
3896
ref
appTerm
3898
def
absTerm
3899
def
3890
ref
appTerm
3900
def
betaConv
nil
"e"
3
ref
var
3770
remove
nil
cons
cons
71
ref
3785
remove
nil
cons
cons
"g"
3
ref
var
3901
def
3361
ref
cons
nil
cons
cons
cons
nil
cons
cons
849
ref
nil
225
ref
3888
ref
118
ref
"t'"
115
ref
var
3902
def
118
remove
"e'"
115
ref
var
3903
def
41
ref
40
ref
3901
ref
varTerm
3904
def
appTerm
3905
def
3890
ref
appTerm
appTerm
41
ref
3891
ref
212
ref
"t"
115
ref
var
varTerm
3906
def
appTerm
3907
def
3902
ref
varTerm
3908
def
appTerm
3909
def
appTerm
appTerm
3910
def
41
ref
3892
ref
212
ref
"e"
115
remove
var
varTerm
3911
def
appTerm
3912
def
3903
ref
varTerm
3913
def
appTerm
3914
def
appTerm
appTerm
3915
def
212
ref
641
ref
3904
ref
appTerm
3906
ref
appTerm
3911
ref
appTerm
appTerm
641
ref
3890
ref
appTerm
3908
ref
appTerm
3913
ref
appTerm
3916
def
appTerm
appTerm
appTerm
appTerm
3917
def
absTerm
3918
def
appTerm
3919
def
absTerm
3920
def
appTerm
3921
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
850
remove
subst
3888
ref
nil
71
ref
3921
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
119
ref
3920
remove
nil
cons
cons
nil
cons
nil
cons
cons
328
ref
subst
3902
remove
nil
71
ref
3919
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
119
remove
3918
remove
nil
cons
cons
nil
cons
nil
cons
cons
328
remove
subst
3903
remove
nil
71
ref
3917
remove
nil
cons
3922
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
36
ref
3905
ref
265
ref
appTerm
3923
def
nil
cons
3924
def
cons
37
ref
3922
ref
cons
nil
cons
3925
def
cons
nil
cons
cons
3926
def
58
ref
subst
3926
remove
128
ref
subst
40
ref
"_502"
3
ref
var
3927
def
41
ref
40
ref
3927
remove
varTerm
3928
def
appTerm
3890
ref
appTerm
appTerm
3910
ref
3915
ref
212
ref
641
ref
3928
remove
appTerm
3906
ref
appTerm
3911
ref
appTerm
appTerm
3916
ref
appTerm
appTerm
appTerm
appTerm
absTerm
3929
def
3904
ref
appTerm
3930
def
appTerm
refl
3931
def
3929
ref
265
ref
appTerm
betaConv
appThm
88
ref
3930
remove
betaConv
appThm
3932
def
41
ref
303
ref
3890
ref
appTerm
appTerm
3910
ref
3915
ref
212
ref
3165
ref
3906
ref
appTerm
3911
ref
appTerm
appTerm
3916
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
3929
remove
refl
3933
def
3923
remove
assume
appThm
eqMp
sym
274
ref
nil
71
ref
3890
ref
nil
cons
3934
def
cons
nil
cons
nil
cons
cons
3935
def
452
ref
subst
appThm
3910
ref
refl
3936
def
3915
ref
refl
3937
def
1412
ref
nil
3164
ref
3911
ref
nil
cons
cons
3166
ref
3906
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3938
def
3177
ref
subst
appThm
3916
ref
refl
3939
def
appThm
appThm
appThm
appThm
sym
nil
36
ref
40
ref
3890
ref
appTerm
3940
def
265
ref
appTerm
3941
def
nil
cons
3942
def
cons
3943
def
37
ref
3892
ref
3910
ref
3915
ref
3912
ref
3916
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
3944
def
cons
nil
cons
3945
def
cons
nil
cons
cons
3946
def
58
ref
subst
3946
remove
128
ref
subst
40
ref
"_510"
3
ref
var
3947
def
41
ref
255
ref
3947
remove
varTerm
3948
def
appTerm
appTerm
3949
def
41
ref
41
ref
3948
ref
appTerm
3909
ref
appTerm
appTerm
41
ref
3949
remove
3914
ref
appTerm
appTerm
3912
ref
641
ref
3948
remove
appTerm
3908
ref
appTerm
3913
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
3950
def
3890
ref
appTerm
3951
def
appTerm
refl
3952
def
3950
ref
265
ref
appTerm
betaConv
appThm
88
ref
3951
remove
betaConv
appThm
3953
def
3783
ref
41
ref
298
ref
3909
ref
appTerm
appTerm
3954
def
41
ref
3783
ref
3914
ref
appTerm
appTerm
3955
def
3912
ref
3165
remove
3908
ref
appTerm
3913
ref
appTerm
3956
def
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
3950
remove
refl
3957
def
3941
remove
assume
3958
def
appThm
eqMp
sym
274
ref
454
ref
appThm
3959
def
274
ref
nil
71
ref
3909
ref
nil
cons
cons
nil
cons
nil
cons
cons
3960
def
1119
ref
subst
appThm
274
ref
3959
remove
3914
ref
refl
3961
def
appThm
nil
71
ref
3914
ref
nil
cons
cons
nil
cons
nil
cons
cons
3962
def
1139
ref
subst
trans
appThm
3912
ref
refl
3963
def
nil
3164
remove
3913
ref
nil
cons
cons
3166
remove
3908
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
3964
def
3177
ref
subst
appThm
appThm
3962
ref
2818
ref
subst
trans
appThm
218
remove
1139
ref
subst
3965
def
trans
appThm
3965
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
3942
ref
cons
3966
def
86
ref
3944
ref
cons
nil
cons
3967
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3940
remove
63
ref
appTerm
3968
def
nil
cons
3969
def
cons
3970
def
3945
remove
cons
nil
cons
cons
3971
def
58
ref
subst
3971
remove
128
ref
subst
3952
remove
"_508"
3
ref
var
3972
def
41
ref
255
ref
3972
remove
varTerm
3973
def
appTerm
appTerm
3974
def
41
ref
41
ref
3973
ref
appTerm
3909
ref
appTerm
appTerm
41
ref
3974
remove
3914
ref
appTerm
appTerm
3912
ref
641
ref
3973
remove
appTerm
3908
ref
appTerm
3913
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
3953
remove
41
ref
440
remove
appTerm
3975
def
41
ref
1132
ref
3909
ref
appTerm
appTerm
3976
def
41
ref
3975
ref
3914
ref
appTerm
appTerm
3977
def
3912
ref
3387
ref
3908
ref
appTerm
3913
ref
appTerm
3978
def
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
3957
remove
3968
remove
assume
3979
def
appThm
eqMp
sym
274
ref
441
remove
appThm
3980
def
274
ref
3960
ref
1139
ref
subst
3981
def
appThm
3982
def
274
ref
3980
remove
3961
remove
appThm
3962
remove
1119
ref
subst
trans
appThm
3983
def
3963
remove
3964
remove
3394
ref
subst
3984
def
appThm
appThm
nil
71
ref
3912
remove
3908
ref
appTerm
3985
def
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
appThm
nil
71
ref
41
ref
3909
ref
appTerm
3985
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1119
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
3969
remove
cons
3986
def
3967
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
3890
ref
appTerm
3987
def
betaConv
754
ref
nil
755
ref
37
ref
3987
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
3934
remove
cons
nil
cons
3988
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
3989
def
nil
3986
ref
86
ref
3942
remove
cons
3990
def
757
ref
3944
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
3924
ref
cons
86
ref
3922
ref
cons
nil
cons
3991
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3905
remove
63
ref
appTerm
3992
def
nil
cons
3993
def
cons
3925
remove
cons
nil
cons
cons
3994
def
58
ref
subst
3994
remove
128
ref
subst
3931
remove
"_500"
3
ref
var
3995
def
41
ref
40
ref
3995
remove
varTerm
3996
def
appTerm
3890
ref
appTerm
appTerm
3910
ref
3915
ref
212
ref
641
ref
3996
remove
appTerm
3906
ref
appTerm
3911
ref
appTerm
appTerm
3916
ref
appTerm
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
3932
remove
41
ref
484
ref
3890
ref
appTerm
appTerm
3910
ref
3915
ref
212
remove
3387
remove
3906
remove
appTerm
3911
remove
appTerm
appTerm
3916
ref
appTerm
appTerm
appTerm
appTerm
refl
appThm
trans
3933
remove
3992
remove
assume
appThm
eqMp
sym
274
ref
3935
remove
488
ref
subst
appThm
3936
remove
3937
remove
1412
remove
3938
remove
3394
ref
subst
appThm
3939
remove
appThm
appThm
appThm
appThm
sym
nil
3943
remove
37
ref
3891
ref
3910
remove
3915
remove
3907
ref
3916
remove
appTerm
appTerm
appTerm
appTerm
nil
cons
3997
def
cons
nil
cons
3998
def
cons
nil
cons
cons
3999
def
58
ref
subst
3999
remove
128
ref
subst
40
ref
"_506"
3
ref
var
4000
def
41
ref
4000
remove
varTerm
4001
def
appTerm
4002
def
41
ref
4002
remove
3909
ref
appTerm
appTerm
41
ref
41
ref
255
ref
4001
ref
appTerm
appTerm
3914
ref
appTerm
appTerm
3907
ref
641
ref
4001
remove
appTerm
3908
ref
appTerm
3913
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
4003
def
3890
ref
appTerm
4004
def
appTerm
refl
4005
def
4003
ref
265
ref
appTerm
betaConv
appThm
88
ref
4004
remove
betaConv
appThm
4006
def
298
ref
3954
remove
3955
remove
3907
ref
3956
remove
appTerm
appTerm
appTerm
4007
def
appTerm
refl
appThm
trans
4003
remove
refl
4008
def
3958
remove
appThm
eqMp
sym
nil
71
ref
4007
remove
nil
cons
cons
nil
cons
nil
cons
cons
1119
ref
subst
sym
77
ref
eqMp
eqMp
eqMp
nil
3966
remove
86
ref
3997
ref
cons
nil
cons
4009
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
3970
remove
3998
remove
cons
nil
cons
cons
4010
def
58
ref
subst
4010
remove
128
ref
subst
4005
remove
"_504"
3
ref
var
4011
def
41
ref
4011
remove
varTerm
4012
def
appTerm
4013
def
41
ref
4013
remove
3909
remove
appTerm
appTerm
41
ref
41
ref
255
ref
4012
ref
appTerm
appTerm
3914
remove
appTerm
appTerm
3907
ref
641
remove
4012
remove
appTerm
3908
remove
appTerm
3913
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
4006
remove
1132
ref
3976
remove
3977
remove
3907
ref
3978
remove
appTerm
appTerm
appTerm
4014
def
appTerm
refl
appThm
trans
4008
remove
3979
remove
appThm
eqMp
sym
nil
71
ref
4014
remove
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
3982
remove
3983
remove
3907
remove
refl
3984
remove
appThm
appThm
3981
remove
trans
appThm
3960
remove
2818
ref
subst
trans
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
3986
ref
4009
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
3989
remove
nil
3986
remove
3990
remove
757
ref
3997
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
3993
remove
cons
4015
def
3991
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
3904
ref
appTerm
4016
def
betaConv
754
ref
nil
755
ref
37
ref
4016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
3904
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4015
remove
86
ref
3924
remove
cons
757
ref
3922
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
4017
def
subst
subst
nil
36
ref
222
ref
3899
ref
appTerm
nil
cons
cons
37
ref
3900
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3899
remove
nil
cons
cons
3988
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3898
remove
nil
cons
cons
37
ref
3897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3896
remove
nil
cons
cons
226
ref
3886
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
3895
remove
nil
cons
cons
37
ref
3894
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
3893
remove
nil
cons
cons
226
ref
3881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
subst
eqMp
subst
eqMp
nil
955
ref
217
ref
cons
956
ref
3885
remove
cons
nil
cons
cons
nil
cons
cons
849
ref
3177
remove
subst
4018
def
subst
trans
trans
appThm
483
ref
trans
sym
77
ref
eqMp
eqMp
110
ref
111
ref
3413
ref
nil
cons
cons
112
ref
3415
remove
cons
nil
cons
cons
nil
cons
cons
1566
remove
subst
proveHyp
nil
36
ref
872
remove
3413
remove
appTerm
nil
cons
cons
37
ref
3412
remove
3410
ref
appTerm
nil
cons
4019
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
573
ref
3410
remove
nil
cons
4020
def
cons
146
ref
3128
remove
nil
cons
cons
nil
cons
4021
def
cons
nil
cons
cons
1613
remove
subst
eqMp
nil
36
ref
4019
remove
cons
37
ref
3411
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
9
ref
4020
remove
cons
4021
remove
cons
nil
cons
cons
146
ref
2046
remove
13
ref
1024
remove
appTerm
4022
def
150
ref
appTerm
appTerm
4023
def
absTerm
4024
def
150
ref
appTerm
4025
def
betaConv
9
ref
7
ref
4024
ref
appTerm
4026
def
absTerm
4027
def
20
ref
appTerm
4028
def
betaConv
nil
7
ref
146
ref
7
ref
9
ref
4023
ref
absTerm
4029
def
appTerm
4030
def
absTerm
4031
def
appTerm
4032
def
axiom
nil
36
ref
4032
remove
nil
cons
4033
def
cons
4034
def
37
ref
7
ref
4027
ref
appTerm
nil
cons
4035
def
cons
nil
cons
cons
nil
cons
cons
4036
def
109
ref
subst
proveHyp
4036
ref
58
ref
subst
4036
remove
128
ref
subst
nil
111
ref
4027
remove
nil
cons
cons
4037
def
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
4026
remove
nil
cons
4038
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4024
remove
nil
cons
cons
4039
def
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
4023
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
4029
ref
20
ref
appTerm
4040
def
betaConv
4031
ref
150
ref
appTerm
4041
def
betaConv
nil
4034
remove
37
ref
4041
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
110
ref
111
ref
4031
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4030
remove
nil
cons
cons
37
ref
4040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4029
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
84
ref
4033
remove
cons
86
ref
4035
ref
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
nil
36
ref
4035
remove
cons
37
ref
4028
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
4037
remove
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4038
remove
cons
37
ref
4025
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
4039
remove
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
eqMp
nil
84
ref
3405
remove
cons
86
ref
3400
remove
cons
nil
cons
4042
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
84
ref
3403
remove
cons
4042
ref
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
36
ref
7
ref
3380
remove
41
ref
3197
remove
3381
remove
appTerm
appTerm
3399
ref
appTerm
absTerm
appTerm
nil
cons
cons
37
ref
41
ref
3198
remove
appTerm
3399
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
3242
remove
4042
remove
cons
nil
cons
cons
1479
remove
subst
eqMp
eqMp
eqMp
eqMp
nil
3160
ref
3384
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
ref
934
ref
appTerm
4043
def
betaConv
1440
ref
nil
1441
ref
37
ref
4043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
ref
226
ref
2043
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
3160
remove
86
ref
2234
remove
cons
757
ref
3156
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
3336
remove
86
ref
3144
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
3141
remove
appTerm
thm
88
ref
348
ref
8
ref
146
ref
146
ref
7
ref
9
ref
7
ref
573
ref
41
ref
2438
remove
appTerm
4044
def
13
ref
924
ref
156
ref
appTerm
1853
ref
appTerm
appTerm
628
ref
1797
remove
20
ref
appTerm
4045
def
appTerm
4046
def
151
remove
"Number.Natural.-"
const
18
remove
constTerm
4047
def
20
ref
appTerm
574
ref
appTerm
4048
def
appTerm
4049
def
appTerm
628
ref
713
ref
appTerm
4050
def
172
ref
appTerm
23
ref
appTerm
4051
def
appTerm
4052
def
appTerm
4053
def
appTerm
4054
def
absTerm
4055
def
appTerm
absTerm
4056
def
appTerm
absTerm
4057
def
150
ref
appTerm
betaConv
4058
def
absThm
appThm
appThm
8
ref
146
ref
146
ref
7
ref
9
ref
7
ref
573
ref
4044
remove
13
ref
1017
ref
156
ref
appTerm
1853
ref
appTerm
appTerm
628
ref
240
ref
4045
ref
appTerm
4059
def
713
ref
appTerm
4060
def
appTerm
23
ref
appTerm
156
ref
appTerm
4061
def
appTerm
4062
def
appTerm
4063
def
absTerm
4064
def
appTerm
absTerm
4065
def
appTerm
absTerm
4066
def
150
ref
appTerm
betaConv
4067
def
absThm
appThm
appThm
appThm
8
ref
146
ref
348
ref
4058
remove
appThm
4067
remove
appThm
absThm
appThm
appThm
nil
415
ref
4057
ref
nil
cons
cons
1741
ref
4066
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
210
ref
1746
remove
40
ref
2266
remove
appTerm
2265
remove
appTerm
absTerm
4068
def
1747
remove
appTerm
4069
def
betaConv
130
remove
656
ref
4068
ref
appTerm
4070
def
absTerm
4071
def
131
remove
appTerm
4072
def
betaConv
nil
656
remove
4071
ref
appTerm
4073
def
axiom
nil
36
ref
4073
remove
nil
cons
cons
37
ref
4072
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
ref
659
ref
4071
remove
nil
cons
cons
661
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4070
remove
nil
cons
cons
37
ref
4069
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
658
remove
659
remove
4068
remove
nil
cons
cons
1757
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
4074
def
subst
eqMp
8
ref
146
ref
88
ref
348
ref
8
ref
9
ref
4056
ref
20
ref
appTerm
betaConv
4075
def
absThm
appThm
appThm
8
ref
9
ref
4065
ref
20
ref
appTerm
betaConv
4076
def
absThm
appThm
appThm
appThm
8
ref
9
ref
348
ref
4075
remove
appThm
4076
remove
appThm
absThm
appThm
appThm
nil
415
ref
4056
remove
nil
cons
cons
1741
ref
4065
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4074
ref
subst
eqMp
8
ref
9
ref
88
ref
348
ref
8
ref
573
ref
4055
ref
574
ref
appTerm
betaConv
4077
def
absThm
appThm
appThm
8
ref
573
ref
4064
ref
574
ref
appTerm
betaConv
4078
def
absThm
appThm
appThm
appThm
8
ref
573
ref
348
ref
4077
remove
appThm
4078
remove
appThm
absThm
appThm
appThm
nil
415
remove
4055
remove
nil
cons
cons
1741
remove
4064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
4074
remove
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
sym
nil
111
ref
146
ref
7
ref
9
ref
7
ref
573
ref
47
ref
4054
remove
appTerm
4063
remove
appTerm
4079
def
absTerm
4080
def
appTerm
4081
def
absTerm
4082
def
appTerm
4083
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
4083
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4082
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
4081
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4080
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
573
ref
nil
71
ref
4079
remove
nil
cons
4084
def
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
2882
remove
37
ref
4084
ref
cons
nil
cons
4085
def
cons
nil
cons
cons
4086
def
58
ref
subst
4086
remove
128
ref
subst
348
ref
274
ref
2889
ref
appThm
4087
def
4053
ref
refl
appThm
nil
71
ref
4053
ref
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
4087
remove
4062
ref
refl
appThm
nil
71
ref
4062
ref
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
sym
nil
36
ref
255
ref
4045
ref
appTerm
nil
cons
4088
def
cons
4089
def
37
ref
47
ref
366
ref
183
ref
154
ref
4052
ref
appTerm
1853
ref
appTerm
appTerm
4061
ref
appTerm
appTerm
appTerm
230
ref
4061
ref
appTerm
1853
ref
appTerm
appTerm
nil
cons
4090
def
cons
nil
cons
4091
def
cons
nil
cons
cons
4092
def
58
ref
subst
4092
remove
128
ref
subst
348
ref
366
ref
refl
4093
def
3801
ref
1899
ref
nil
3767
remove
37
ref
13
ref
4051
ref
appTerm
4094
def
4051
ref
appTerm
4095
def
nil
cons
4096
def
cons
nil
cons
4097
def
cons
nil
cons
cons
4098
def
58
ref
subst
4098
remove
128
ref
subst
4051
ref
refl
4099
def
eqMp
nil
3782
remove
86
ref
4096
remove
cons
nil
cons
4100
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3783
ref
4095
ref
appTerm
nil
cons
cons
37
ref
13
ref
4052
ref
appTerm
4101
def
628
ref
265
ref
appTerm
4102
def
4049
ref
appTerm
4103
def
4051
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"e'"
2
ref
var
4104
def
4051
ref
nil
cons
4105
def
cons
nil
cons
nil
cons
cons
4106
def
nil
299
remove
37
ref
13
ref
4049
ref
appTerm
4107
def
4049
ref
appTerm
4108
def
nil
cons
4109
def
cons
nil
cons
4110
def
cons
nil
cons
cons
4111
def
58
ref
subst
4111
remove
128
ref
subst
4049
ref
refl
4112
def
eqMp
nil
306
remove
86
ref
4109
remove
cons
nil
cons
4113
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
298
ref
4108
ref
appTerm
nil
cons
cons
37
ref
41
ref
3783
remove
4094
remove
4104
ref
varTerm
4114
def
appTerm
4115
def
appTerm
appTerm
4116
def
4101
ref
4103
remove
4114
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"t'"
2
ref
var
4117
def
4049
ref
nil
cons
4118
def
cons
nil
cons
nil
cons
cons
4119
def
nil
4089
remove
37
ref
40
ref
4045
ref
appTerm
4120
def
265
ref
appTerm
nil
cons
4121
def
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
84
ref
4045
ref
nil
cons
4122
def
cons
4123
def
nil
cons
nil
cons
cons
307
ref
subst
eqMp
4124
def
nil
36
ref
4121
remove
cons
37
ref
41
ref
298
ref
4107
remove
4117
ref
varTerm
4125
def
appTerm
4126
def
appTerm
appTerm
4116
remove
4101
ref
4102
remove
4125
ref
appTerm
4114
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
3889
remove
4104
ref
41
ref
4120
ref
3890
ref
appTerm
appTerm
41
ref
3891
ref
4126
ref
appTerm
appTerm
41
ref
3892
ref
4115
ref
appTerm
appTerm
4101
ref
628
ref
3890
ref
appTerm
4125
ref
appTerm
4114
ref
appTerm
4127
def
appTerm
appTerm
appTerm
appTerm
absTerm
4128
def
4114
ref
appTerm
4129
def
betaConv
4117
ref
7
ref
4128
ref
appTerm
4130
def
absTerm
4131
def
4125
ref
appTerm
4132
def
betaConv
3888
ref
7
ref
4131
ref
appTerm
4133
def
absTerm
4134
def
3890
ref
appTerm
4135
def
betaConv
nil
"e"
2
ref
var
4136
def
4105
ref
cons
"t"
2
ref
var
4137
def
4118
ref
cons
3901
ref
4122
ref
cons
nil
cons
cons
cons
nil
cons
cons
210
remove
4017
remove
subst
4138
def
subst
nil
36
ref
222
ref
4134
ref
appTerm
nil
cons
cons
37
ref
4135
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
ref
4134
remove
nil
cons
cons
3988
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4133
remove
nil
cons
cons
37
ref
4132
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4131
remove
nil
cons
cons
112
ref
4125
ref
nil
cons
cons
nil
cons
4139
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4130
remove
nil
cons
cons
37
ref
4129
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4128
remove
nil
cons
cons
112
ref
4114
ref
nil
cons
cons
nil
cons
4140
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
4141
def
subst
eqMp
subst
eqMp
subst
eqMp
nil
3161
ref
4105
remove
cons
3162
ref
4118
remove
cons
nil
cons
cons
nil
cons
cons
4142
def
3178
ref
subst
trans
appThm
1901
ref
appThm
appThm
nil
36
ref
255
ref
713
ref
appTerm
4143
def
nil
cons
4144
def
cons
4145
def
37
ref
366
ref
156
ref
appTerm
4146
def
nil
cons
4147
def
cons
nil
cons
4148
def
cons
nil
cons
cons
4149
def
58
ref
subst
4149
remove
128
ref
subst
156
ref
refl
4150
def
eqMp
nil
84
ref
4144
ref
cons
4151
def
86
ref
4147
remove
cons
nil
cons
4152
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
41
ref
4143
remove
appTerm
4153
def
4146
ref
appTerm
nil
cons
cons
37
ref
13
ref
4061
ref
appTerm
4154
def
4050
ref
23
ref
appTerm
4155
def
156
ref
appTerm
4156
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
4104
ref
825
ref
cons
nil
cons
nil
cons
cons
4157
def
nil
36
ref
713
ref
nil
cons
4158
def
cons
4159
def
37
ref
2104
ref
cons
nil
cons
4160
def
cons
nil
cons
cons
4161
def
58
ref
subst
4161
remove
128
ref
subst
431
ref
eqMp
nil
84
ref
4158
ref
cons
4162
def
86
ref
2104
remove
cons
nil
cons
4163
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
41
ref
713
ref
appTerm
4164
def
459
ref
appTerm
nil
cons
cons
37
ref
41
ref
4153
remove
366
ref
4114
ref
appTerm
4165
def
appTerm
appTerm
4166
def
4154
ref
4155
remove
4114
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
4117
ref
24
ref
cons
nil
cons
nil
cons
cons
4167
def
251
ref
4124
ref
appThm
713
ref
refl
4168
def
appThm
nil
71
ref
4158
ref
cons
nil
cons
nil
cons
cons
4169
def
1178
ref
subst
trans
nil
36
ref
40
ref
4060
ref
appTerm
4170
def
713
ref
appTerm
nil
cons
cons
37
ref
41
ref
4164
remove
458
remove
4125
ref
appTerm
4171
def
appTerm
appTerm
4166
remove
4154
ref
4050
remove
4125
ref
appTerm
4114
ref
appTerm
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
3888
ref
4158
ref
cons
nil
cons
nil
cons
cons
4104
remove
41
ref
4170
ref
3890
ref
appTerm
appTerm
41
ref
3891
remove
4171
ref
appTerm
appTerm
41
ref
3892
remove
4165
ref
appTerm
appTerm
4154
ref
4127
remove
appTerm
appTerm
appTerm
appTerm
absTerm
4172
def
4114
ref
appTerm
4173
def
betaConv
4117
remove
7
ref
4172
ref
appTerm
4174
def
absTerm
4175
def
4125
ref
appTerm
4176
def
betaConv
3888
ref
7
ref
4175
ref
appTerm
4177
def
absTerm
4178
def
3890
remove
appTerm
4179
def
betaConv
nil
4136
remove
825
ref
cons
4137
remove
24
ref
cons
3901
remove
4060
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
4138
remove
subst
nil
36
ref
222
remove
4178
ref
appTerm
nil
cons
cons
37
ref
4179
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
225
remove
4178
remove
nil
cons
cons
3988
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4177
remove
nil
cons
cons
37
ref
4176
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4175
remove
nil
cons
cons
4139
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4174
remove
nil
cons
cons
37
ref
4173
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4172
remove
nil
cons
cons
4140
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
4180
def
subst
eqMp
subst
eqMp
subst
eqMp
4181
def
appThm
appThm
appThm
333
ref
4181
remove
appThm
1901
ref
appThm
appThm
sym
nil
4145
ref
37
ref
47
ref
366
remove
183
ref
154
ref
4051
ref
appTerm
1853
ref
appTerm
appTerm
4156
ref
appTerm
appTerm
appTerm
230
ref
4156
remove
appTerm
1853
remove
appTerm
appTerm
nil
cons
4182
def
cons
nil
cons
4183
def
cons
nil
cons
cons
4184
def
58
ref
subst
4184
remove
128
ref
subst
348
ref
4093
ref
3801
ref
1899
ref
3159
ref
nil
4145
remove
37
ref
40
ref
713
ref
appTerm
265
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
nil
4162
ref
nil
cons
nil
cons
cons
307
remove
subst
eqMp
4185
def
appThm
4186
def
688
ref
appThm
431
ref
appThm
nil
3161
ref
24
ref
cons
3162
ref
566
ref
cons
nil
cons
cons
nil
cons
cons
4187
def
3178
ref
subst
trans
appThm
1901
ref
appThm
nil
1967
remove
nil
cons
cons
480
remove
subst
trans
appThm
4186
remove
431
ref
appThm
4150
ref
appThm
nil
3161
ref
825
remove
cons
3162
remove
24
remove
cons
nil
cons
4188
def
cons
nil
cons
cons
4189
def
3178
remove
subst
trans
4190
def
appThm
826
remove
384
remove
subst
trans
appThm
1866
ref
trans
appThm
333
ref
4190
remove
appThm
1901
ref
appThm
nil
1544
ref
147
remove
166
ref
cons
cons
nil
cons
cons
3706
ref
subst
240
ref
47
ref
3436
remove
150
ref
appTerm
appTerm
1518
ref
appTerm
4191
def
appTerm
refl
348
ref
2888
ref
appThm
923
remove
2065
ref
appTerm
4192
def
refl
appThm
nil
71
ref
4192
remove
nil
cons
cons
nil
cons
nil
cons
cons
520
ref
subst
trans
appThm
nil
71
ref
4191
remove
nil
cons
cons
nil
cons
nil
cons
cons
4193
def
724
ref
subst
trans
trans
trans
appThm
4193
remove
447
ref
subst
trans
sym
348
ref
nil
3664
remove
nil
cons
cons
3429
remove
subst
365
ref
239
remove
refl
563
remove
appThm
nil
624
remove
nil
cons
nil
cons
cons
250
ref
subst
240
ref
241
ref
564
remove
appTerm
appTerm
refl
27
ref
250
remove
subst
890
remove
refl
308
remove
appThm
988
remove
724
remove
subst
trans
trans
appThm
trans
trans
appThm
trans
appThm
1518
remove
refl
appThm
sym
348
ref
365
ref
251
ref
2913
remove
3487
remove
appThm
4185
remove
trans
appThm
2888
remove
appThm
3366
remove
trans
appThm
454
ref
trans
appThm
3358
remove
948
remove
subst
365
remove
4124
remove
appThm
454
remove
trans
trans
appThm
483
ref
trans
sym
77
ref
eqMp
eqMp
eqMp
eqMp
nil
4151
remove
86
ref
4182
ref
cons
nil
cons
4194
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
4159
remove
4183
remove
cons
nil
cons
cons
4195
def
58
ref
subst
4195
remove
128
ref
subst
348
ref
14
ref
1837
ref
713
ref
assume
4196
def
appThm
4197
def
208
ref
appThm
3585
ref
trans
4198
def
appThm
3801
ref
1899
ref
3159
ref
14
ref
4196
remove
appThm
688
ref
appThm
689
ref
trans
appThm
4199
def
688
ref
appThm
431
ref
appThm
4187
remove
3395
ref
subst
trans
appThm
4197
remove
1838
ref
appThm
1836
remove
3585
remove
subst
trans
4200
def
appThm
1920
remove
trans
appThm
4199
remove
431
ref
appThm
4198
remove
appThm
nil
3161
remove
566
remove
cons
4188
remove
cons
nil
cons
cons
3395
ref
subst
trans
4201
def
appThm
599
remove
205
ref
subst
trans
appThm
689
remove
trans
appThm
333
ref
4201
remove
appThm
4200
remove
appThm
appThm
3691
remove
447
ref
subst
trans
sym
3692
remove
eqMp
eqMp
nil
4162
ref
4194
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
ref
713
remove
appTerm
4202
def
betaConv
1440
ref
nil
1441
ref
37
ref
4202
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
ref
226
ref
4158
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4162
remove
86
ref
4144
remove
cons
757
ref
4182
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
84
ref
4088
ref
cons
86
ref
4090
ref
cons
nil
cons
4203
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
4122
ref
cons
4204
def
4091
remove
cons
nil
cons
cons
4205
def
58
ref
subst
4205
remove
128
ref
subst
348
ref
4093
remove
3801
remove
1899
remove
nil
36
ref
1434
ref
cons
4206
def
4097
remove
cons
nil
cons
cons
4207
def
58
ref
subst
4207
remove
128
ref
subst
4099
remove
eqMp
nil
84
ref
1434
remove
cons
4208
def
4100
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3975
ref
4095
remove
appTerm
nil
cons
cons
37
ref
4101
ref
628
ref
63
ref
appTerm
4209
def
4049
remove
appTerm
4210
def
4051
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
4106
remove
nil
36
ref
217
ref
cons
4211
def
4110
remove
cons
nil
cons
cons
4212
def
58
ref
subst
4212
remove
128
ref
subst
4112
remove
eqMp
nil
84
ref
217
ref
cons
4213
def
4113
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1132
ref
4108
remove
appTerm
nil
cons
cons
37
ref
41
ref
3975
ref
4115
remove
appTerm
appTerm
4214
def
4101
ref
4210
remove
4114
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
4119
remove
nil
71
ref
4122
ref
cons
nil
cons
nil
cons
cons
78
ref
subst
4045
ref
assume
eqMp
4215
def
nil
36
ref
4120
remove
63
ref
appTerm
nil
cons
cons
37
ref
41
ref
1132
ref
4126
remove
appTerm
appTerm
4214
remove
4101
remove
4209
ref
4125
remove
appTerm
4114
ref
appTerm
4216
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
3888
remove
217
remove
cons
nil
cons
nil
cons
cons
4217
def
4141
remove
subst
eqMp
subst
eqMp
subst
eqMp
4142
remove
3395
ref
subst
trans
appThm
1901
ref
appThm
nil
9
ref
4048
ref
nil
cons
cons
nil
cons
nil
cons
cons
573
ref
13
ref
1854
remove
appTerm
1851
remove
appTerm
4218
def
absTerm
4219
def
574
ref
appTerm
4220
def
betaConv
9
ref
7
ref
4219
ref
appTerm
4221
def
absTerm
4222
def
20
ref
appTerm
4223
def
betaConv
146
ref
7
ref
4222
ref
appTerm
4224
def
absTerm
4225
def
150
ref
appTerm
4226
def
betaConv
8
ref
146
ref
8
ref
9
ref
8
remove
573
remove
4218
remove
assume
sym
1878
remove
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
1978
remove
eqMp
nil
36
ref
7
ref
4225
ref
appTerm
nil
cons
cons
37
ref
4226
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4225
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4224
remove
nil
cons
cons
37
ref
4223
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4222
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4221
remove
nil
cons
cons
37
ref
4220
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4219
remove
nil
cons
cons
592
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
1835
remove
nil
4204
remove
37
ref
13
ref
183
ref
4048
ref
appTerm
574
ref
appTerm
appTerm
20
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
1849
remove
9
ref
41
ref
1668
ref
appTerm
13
ref
183
ref
4047
remove
150
ref
appTerm
20
ref
appTerm
appTerm
20
ref
appTerm
appTerm
150
ref
appTerm
appTerm
absTerm
4227
def
20
ref
appTerm
4228
def
betaConv
146
ref
7
ref
4227
ref
appTerm
4229
def
absTerm
4230
def
150
ref
appTerm
4231
def
betaConv
nil
7
ref
4230
ref
appTerm
4232
def
axiom
nil
36
ref
4232
remove
nil
cons
cons
37
ref
4231
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4230
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4229
remove
nil
cons
cons
37
ref
4228
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4227
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
subst
eqMp
appThm
trans
trans
appThm
nil
4206
remove
4148
remove
cons
nil
cons
cons
4233
def
58
ref
subst
4233
remove
128
ref
subst
4150
remove
eqMp
nil
4208
remove
4152
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3975
ref
4146
remove
appTerm
nil
cons
cons
37
ref
4154
ref
4209
remove
23
ref
appTerm
4234
def
156
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
4157
remove
nil
4211
remove
4160
remove
cons
nil
cons
cons
4235
def
58
ref
subst
4235
remove
128
ref
subst
431
ref
eqMp
nil
4213
remove
4163
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
1132
ref
459
remove
appTerm
nil
cons
cons
37
ref
41
ref
3975
remove
4165
remove
appTerm
appTerm
4236
def
4154
ref
4234
remove
4114
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
4167
remove
251
ref
4215
remove
appThm
4168
remove
appThm
4169
remove
315
ref
subst
trans
nil
36
ref
4170
remove
63
ref
appTerm
nil
cons
cons
37
ref
41
ref
1132
ref
4171
remove
appTerm
appTerm
4236
remove
4154
remove
4216
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
4217
remove
4180
remove
subst
eqMp
subst
eqMp
subst
eqMp
4189
remove
3395
remove
subst
trans
4237
def
appThm
1861
remove
205
remove
subst
trans
appThm
1866
remove
trans
appThm
333
remove
4237
remove
appThm
1901
remove
appThm
nil
1544
remove
166
ref
cons
nil
cons
cons
981
remove
subst
251
ref
2889
remove
appThm
2065
remove
refl
appThm
nil
71
ref
3361
remove
cons
nil
cons
nil
cons
cons
315
ref
subst
trans
trans
trans
appThm
483
ref
trans
sym
77
ref
eqMp
eqMp
nil
4123
ref
4203
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
1437
remove
4045
remove
appTerm
4238
def
betaConv
1440
remove
nil
1441
remove
37
ref
4238
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
1442
remove
226
ref
4122
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4123
remove
86
ref
4088
remove
cons
757
ref
4090
ref
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
nil
36
ref
4090
remove
cons
37
ref
47
ref
4053
remove
appTerm
4062
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
nil
"r"
2
remove
var
4239
def
4061
remove
nil
cons
cons
572
ref
4052
remove
nil
cons
cons
1966
remove
1860
remove
cons
cons
cons
nil
cons
cons
nil
36
ref
47
ref
241
remove
183
remove
154
remove
577
ref
appTerm
20
ref
appTerm
appTerm
4239
ref
varTerm
4240
def
appTerm
4241
def
appTerm
4242
def
appTerm
230
remove
4240
ref
appTerm
20
ref
appTerm
4243
def
appTerm
4244
def
nil
cons
4245
def
cons
37
ref
47
ref
13
ref
1022
remove
appTerm
577
ref
appTerm
4246
def
appTerm
4022
remove
4240
ref
appTerm
4247
def
appTerm
nil
cons
4248
def
cons
nil
cons
4249
def
cons
nil
cons
cons
4250
def
58
ref
subst
4250
remove
128
ref
subst
nil
84
ref
4242
ref
nil
cons
cons
86
ref
4243
ref
nil
cons
4251
def
cons
nil
cons
cons
nil
cons
cons
4252
def
100
ref
subst
4252
remove
293
ref
subst
4239
ref
41
ref
4244
remove
appTerm
4253
def
4246
remove
appTerm
4254
def
absTerm
4255
def
4240
ref
appTerm
4256
def
betaConv
572
ref
7
ref
4255
ref
appTerm
4257
def
absTerm
4258
def
577
ref
appTerm
4259
def
betaConv
9
ref
7
ref
4258
ref
appTerm
4260
def
absTerm
4261
def
20
ref
appTerm
4262
def
betaConv
146
ref
7
ref
4261
ref
appTerm
4263
def
absTerm
4264
def
150
ref
appTerm
4265
def
betaConv
nil
7
ref
4264
ref
appTerm
4266
def
axiom
nil
36
ref
4266
remove
nil
cons
cons
37
ref
4265
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4264
remove
nil
cons
cons
166
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4263
remove
nil
cons
cons
37
ref
4262
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4261
remove
nil
cons
cons
114
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4260
remove
nil
cons
cons
37
ref
4259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4258
remove
nil
cons
cons
594
ref
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4257
remove
nil
cons
cons
37
ref
4256
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4255
remove
nil
cons
cons
112
ref
4240
ref
nil
cons
cons
nil
cons
4267
def
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4254
ref
nil
cons
cons
37
ref
4253
remove
4247
remove
appTerm
4268
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
4239
remove
4268
ref
absTerm
4269
def
4240
ref
appTerm
4270
def
betaConv
572
remove
7
ref
4269
ref
appTerm
4271
def
absTerm
4272
def
577
ref
appTerm
4273
def
betaConv
9
ref
7
ref
4272
ref
appTerm
4274
def
absTerm
4275
def
20
ref
appTerm
4276
def
betaConv
146
ref
7
ref
4275
ref
appTerm
4277
def
absTerm
4278
def
150
ref
appTerm
4279
def
betaConv
nil
7
ref
4278
ref
appTerm
4280
def
axiom
nil
36
ref
4280
remove
nil
cons
cons
37
ref
4279
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4278
remove
nil
cons
cons
166
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4277
remove
nil
cons
cons
37
ref
4276
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4275
remove
nil
cons
cons
114
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4274
remove
nil
cons
cons
37
ref
4273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
ref
111
ref
4272
remove
nil
cons
cons
594
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
36
ref
4271
remove
nil
cons
cons
37
ref
4270
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
110
remove
111
ref
4269
remove
nil
cons
cons
4267
remove
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
eqMp
nil
36
ref
47
ref
4254
remove
appTerm
4268
remove
appTerm
nil
cons
cons
4249
remove
cons
nil
cons
cons
109
ref
subst
proveHyp
274
ref
348
ref
274
ref
348
ref
14
ref
4242
remove
assume
4281
def
appThm
4241
ref
refl
appThm
nil
112
ref
4241
ref
nil
cons
cons
nil
cons
nil
cons
cons
215
remove
subst
trans
appThm
nil
71
ref
4251
remove
cons
nil
cons
nil
cons
cons
78
ref
subst
4243
remove
assume
eqMp
appThm
483
ref
trans
appThm
4282
def
14
ref
924
ref
refl
4283
def
4281
ref
appThm
208
ref
appThm
appThm
577
ref
refl
appThm
4284
def
appThm
nil
71
ref
13
ref
924
ref
4241
ref
appTerm
20
ref
appTerm
appTerm
577
remove
appTerm
4285
def
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
4282
remove
14
ref
3036
ref
4281
remove
appThm
208
ref
appThm
appThm
4240
ref
refl
appThm
4286
def
appThm
nil
71
ref
13
ref
1017
ref
4241
remove
appTerm
20
remove
appTerm
appTerm
4240
remove
appTerm
4287
def
nil
cons
cons
nil
cons
nil
cons
cons
1139
ref
subst
trans
appThm
appThm
348
ref
4284
remove
appThm
4286
remove
appThm
appThm
nil
71
ref
47
ref
4285
remove
appTerm
4287
remove
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
2818
remove
subst
trans
sym
77
ref
eqMp
eqMp
proveHyp
proveHyp
eqMp
nil
84
ref
4245
remove
cons
86
ref
4248
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
eqMp
nil
2974
remove
86
ref
4084
ref
cons
nil
cons
4288
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
2581
remove
4085
remove
cons
nil
cons
cons
4289
def
58
ref
subst
4289
remove
128
ref
subst
348
ref
274
ref
2981
remove
appThm
4290
def
14
ref
4283
remove
1837
remove
2977
remove
appThm
4291
def
208
remove
appThm
4292
def
appThm
4291
ref
1838
remove
appThm
4293
def
appThm
appThm
4046
ref
refl
4291
remove
4048
ref
refl
appThm
appThm
3159
ref
2979
remove
688
ref
appThm
4294
def
appThm
688
ref
appThm
431
ref
appThm
appThm
appThm
appThm
nil
71
ref
13
ref
924
remove
463
ref
appTerm
456
ref
574
remove
appTerm
4295
def
appTerm
appTerm
4046
remove
456
remove
4048
remove
appTerm
appTerm
628
ref
778
ref
appTerm
172
ref
appTerm
23
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1119
ref
subst
trans
appThm
4290
remove
14
remove
3036
remove
4292
ref
appThm
4293
remove
appThm
appThm
3159
remove
4059
ref
refl
4294
remove
appThm
appThm
431
remove
appThm
4292
remove
appThm
appThm
appThm
nil
71
ref
13
remove
1017
remove
463
ref
appTerm
4295
remove
appTerm
appTerm
628
remove
4059
remove
778
remove
appTerm
appTerm
23
remove
appTerm
463
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1119
ref
subst
trans
appThm
483
ref
trans
sym
77
ref
eqMp
eqMp
nil
2887
ref
4288
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
3009
remove
nil
2887
remove
3010
remove
757
ref
4084
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
4296
def
nil
84
ref
7
ref
4057
remove
appTerm
4297
def
nil
cons
cons
86
ref
7
ref
4066
remove
appTerm
4298
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
4299
def
293
remove
subst
proveHyp
nil
4298
remove
thm
nil
111
ref
112
ref
7
ref
146
ref
7
ref
9
ref
40
ref
3625
remove
673
ref
appTerm
appTerm
3712
remove
2886
remove
360
remove
appTerm
4300
def
appTerm
677
ref
242
remove
appTerm
4301
def
appTerm
4302
def
appTerm
4303
def
absTerm
4304
def
appTerm
4305
def
absTerm
4306
def
appTerm
4307
def
absTerm
4308
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
4307
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4306
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
4305
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4304
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
4303
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
88
ref
3474
remove
1988
ref
subst
appThm
4302
ref
refl
appThm
sym
88
ref
"_3223"
3
ref
var
4309
def
40
ref
47
ref
349
remove
3419
remove
appTerm
673
remove
appTerm
4310
def
appTerm
3484
remove
appTerm
appTerm
4311
def
4309
remove
varTerm
appTerm
absTerm
4312
def
4302
remove
appTerm
betaConv
appThm
348
ref
3723
remove
4312
ref
4300
ref
appTerm
betaConv
appThm
appThm
3725
remove
4312
ref
4301
ref
appTerm
betaConv
appThm
appThm
appThm
nil
3726
remove
4301
ref
nil
cons
cons
3727
remove
4300
ref
nil
cons
cons
3729
remove
cons
cons
nil
cons
cons
nil
3730
remove
4312
remove
nil
cons
cons
nil
cons
nil
cons
cons
3731
remove
subst
subst
eqMp
sym
nil
3654
remove
37
ref
4311
ref
4300
ref
appTerm
4313
def
nil
cons
4314
def
cons
nil
cons
cons
nil
cons
cons
4315
def
58
ref
subst
4315
remove
128
ref
subst
88
ref
348
ref
3766
ref
3711
remove
refl
4316
def
3660
remove
appThm
4317
def
3740
ref
appThm
251
ref
3659
remove
688
remove
appThm
appThm
4318
def
3240
ref
appThm
appThm
nil
955
ref
779
ref
934
ref
appTerm
nil
cons
cons
956
ref
3728
remove
cons
nil
cons
4319
def
cons
nil
cons
cons
849
remove
3394
remove
subst
4320
def
subst
trans
trans
appThm
3430
remove
3766
ref
subst
4321
def
4317
remove
634
remove
367
remove
appTerm
4322
def
refl
4323
def
appThm
4318
remove
3483
ref
appThm
appThm
nil
955
ref
779
remove
1668
ref
appTerm
nil
cons
cons
956
remove
4322
remove
nil
cons
cons
nil
cons
4324
def
cons
nil
cons
cons
4320
remove
subst
trans
trans
appThm
appThm
4300
remove
refl
appThm
sym
88
ref
348
ref
274
ref
27
remove
1988
ref
subst
4325
def
appThm
2322
ref
appThm
appThm
274
ref
2322
ref
appThm
4325
ref
appThm
appThm
appThm
88
ref
4325
remove
appThm
2322
remove
appThm
appThm
sym
nil
36
ref
951
ref
265
ref
appTerm
4326
def
nil
cons
4327
def
cons
37
ref
40
ref
47
ref
41
ref
47
ref
950
ref
appTerm
1657
remove
150
remove
appTerm
4328
def
appTerm
4329
def
appTerm
2328
ref
appTerm
appTerm
41
ref
2328
ref
appTerm
4330
def
4329
ref
appTerm
appTerm
appTerm
40
ref
4329
remove
appTerm
2328
ref
appTerm
appTerm
nil
cons
4331
def
cons
nil
cons
4332
def
cons
nil
cons
cons
4333
def
58
ref
subst
4333
remove
128
ref
subst
40
ref
"_3231"
3
ref
var
4334
def
40
ref
47
ref
41
ref
47
ref
4334
remove
varTerm
appTerm
4328
ref
appTerm
4335
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4335
ref
appTerm
appTerm
appTerm
40
ref
4335
remove
appTerm
2328
ref
appTerm
appTerm
absTerm
4336
def
950
ref
appTerm
4337
def
appTerm
refl
4338
def
4336
ref
265
ref
appTerm
betaConv
appThm
88
ref
4337
remove
betaConv
appThm
4339
def
40
ref
47
ref
41
ref
516
ref
4328
ref
appTerm
4340
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4340
ref
appTerm
appTerm
appTerm
40
ref
4340
remove
appTerm
2328
ref
appTerm
appTerm
refl
appThm
trans
4336
remove
refl
4341
def
4326
remove
assume
appThm
eqMp
sym
88
ref
348
ref
274
ref
nil
71
ref
4328
ref
nil
cons
4342
def
cons
nil
cons
nil
cons
cons
4343
def
520
ref
subst
4344
def
appThm
2354
ref
appThm
2348
ref
1119
remove
subst
4345
def
trans
appThm
4330
ref
refl
4346
def
4344
ref
appThm
2348
ref
1042
remove
subst
4347
def
trans
appThm
nil
71
ref
255
remove
2328
ref
appTerm
nil
cons
4348
def
cons
nil
cons
nil
cons
cons
447
ref
subst
4349
def
trans
appThm
88
ref
4344
remove
appThm
2354
ref
appThm
2348
ref
452
remove
subst
4350
def
trans
appThm
nil
226
ref
4348
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
4351
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
4327
ref
cons
86
ref
4331
ref
cons
nil
cons
4352
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
951
remove
63
ref
appTerm
4353
def
nil
cons
4354
def
cons
4332
remove
cons
nil
cons
cons
4355
def
58
ref
subst
4355
remove
128
ref
subst
4338
remove
"_3229"
3
ref
var
4356
def
40
ref
47
ref
41
ref
47
ref
4356
remove
varTerm
appTerm
4328
ref
appTerm
4357
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4357
ref
appTerm
appTerm
appTerm
40
ref
4357
remove
appTerm
2328
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
4339
remove
40
ref
47
ref
41
ref
443
ref
4328
ref
appTerm
4358
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4358
ref
appTerm
appTerm
appTerm
40
ref
4358
remove
appTerm
2328
ref
appTerm
appTerm
refl
appThm
trans
4341
remove
4353
remove
assume
appThm
eqMp
sym
88
ref
348
ref
274
remove
4343
remove
447
ref
subst
4359
def
appThm
2354
ref
appThm
appThm
4346
remove
4359
ref
appThm
appThm
appThm
88
ref
4359
remove
appThm
2354
remove
appThm
appThm
sym
nil
36
ref
40
ref
4328
ref
appTerm
4360
def
265
ref
appTerm
4361
def
nil
cons
4362
def
cons
37
ref
40
ref
47
ref
41
ref
4328
ref
appTerm
2328
ref
appTerm
appTerm
4330
ref
4328
ref
appTerm
appTerm
appTerm
4360
ref
2328
ref
appTerm
appTerm
nil
cons
4363
def
cons
nil
cons
4364
def
cons
nil
cons
cons
4365
def
58
ref
subst
4365
remove
128
ref
subst
40
ref
"_3235"
3
ref
var
4366
def
40
ref
47
ref
41
ref
4366
remove
varTerm
4367
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4367
ref
appTerm
appTerm
appTerm
40
ref
4367
remove
appTerm
2328
ref
appTerm
appTerm
absTerm
4368
def
4328
ref
appTerm
4369
def
appTerm
refl
4370
def
4368
ref
265
ref
appTerm
betaConv
appThm
88
ref
4369
remove
betaConv
appThm
4371
def
40
ref
47
ref
298
remove
2328
ref
appTerm
appTerm
4330
ref
265
ref
appTerm
appTerm
appTerm
303
remove
2328
ref
appTerm
appTerm
refl
appThm
trans
4368
remove
refl
4372
def
4361
remove
assume
appThm
eqMp
sym
88
ref
348
ref
4345
remove
appThm
4347
remove
appThm
4349
remove
trans
appThm
4350
remove
appThm
4351
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
4362
ref
cons
86
ref
4363
ref
cons
nil
cons
4373
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
4360
remove
63
ref
appTerm
4374
def
nil
cons
4375
def
cons
4364
remove
cons
nil
cons
cons
4376
def
58
ref
subst
4376
remove
128
ref
subst
4370
remove
"_3233"
3
ref
var
4377
def
40
ref
47
ref
41
remove
4377
remove
varTerm
4378
def
appTerm
2328
ref
appTerm
appTerm
4330
ref
4378
ref
appTerm
appTerm
appTerm
40
ref
4378
remove
appTerm
2328
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
4371
remove
40
ref
47
ref
1132
remove
2328
ref
appTerm
appTerm
4330
remove
63
ref
appTerm
appTerm
appTerm
484
remove
2328
remove
appTerm
appTerm
refl
appThm
trans
4372
remove
4374
remove
assume
appThm
eqMp
sym
88
ref
348
ref
2348
ref
1139
remove
subst
appThm
2348
ref
1256
remove
subst
appThm
2348
ref
1715
remove
subst
trans
appThm
2348
remove
488
remove
subst
appThm
nil
226
ref
2347
remove
cons
nil
cons
nil
cons
cons
1045
ref
subst
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
4375
remove
cons
4379
def
4373
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
4328
remove
appTerm
4380
def
betaConv
754
ref
nil
755
ref
37
ref
4380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
4342
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4379
remove
86
ref
4362
remove
cons
757
ref
4363
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
ref
4354
remove
cons
4381
def
4352
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
950
ref
appTerm
4382
def
betaConv
754
ref
nil
755
ref
37
ref
4382
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
950
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4381
remove
86
ref
4327
remove
cons
757
ref
4331
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
3447
remove
86
ref
4314
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
3722
remove
4313
remove
appTerm
nil
cons
cons
37
ref
3724
remove
4311
remove
4301
ref
appTerm
4383
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
128
ref
subst
proveHyp
nil
3432
remove
37
ref
4383
remove
nil
cons
4384
def
cons
nil
cons
cons
nil
cons
cons
4385
def
58
ref
subst
4385
remove
128
ref
subst
88
ref
348
ref
3766
ref
4316
remove
3448
remove
appThm
4386
def
3740
remove
appThm
677
remove
934
ref
appTerm
4387
def
refl
appThm
nil
955
ref
4387
ref
nil
cons
cons
4319
remove
cons
nil
cons
cons
4018
ref
subst
trans
trans
appThm
4321
remove
4386
remove
4323
remove
appThm
3488
remove
refl
appThm
nil
955
remove
3489
remove
cons
4324
remove
cons
nil
cons
cons
4018
remove
subst
trans
trans
appThm
appThm
4301
remove
refl
appThm
sym
88
ref
348
ref
251
ref
nil
3647
remove
nil
cons
cons
1988
ref
subst
appThm
4388
def
3240
ref
appThm
appThm
4388
ref
3483
ref
appThm
appThm
appThm
4388
remove
1988
remove
appThm
appThm
sym
nil
36
ref
40
ref
1730
remove
172
remove
appTerm
4389
def
appTerm
4390
def
265
ref
appTerm
4391
def
nil
cons
4392
def
cons
37
ref
40
ref
47
ref
240
ref
47
ref
4389
ref
appTerm
3529
ref
appTerm
appTerm
4393
def
934
ref
appTerm
appTerm
4393
ref
1668
ref
appTerm
appTerm
appTerm
4393
remove
1980
ref
appTerm
appTerm
nil
cons
4394
def
cons
nil
cons
4395
def
cons
nil
cons
cons
4396
def
58
ref
subst
4396
remove
128
ref
subst
40
ref
"_3239"
3
ref
var
4397
def
40
ref
47
ref
240
ref
47
ref
4397
remove
varTerm
appTerm
3529
ref
appTerm
appTerm
4398
def
934
ref
appTerm
appTerm
4398
ref
1668
ref
appTerm
appTerm
appTerm
4398
remove
1980
ref
appTerm
appTerm
absTerm
4399
def
4389
ref
appTerm
4400
def
appTerm
refl
4401
def
4399
ref
265
ref
appTerm
betaConv
appThm
88
ref
4400
remove
betaConv
appThm
4402
def
40
ref
47
ref
240
ref
516
remove
3529
ref
appTerm
appTerm
4403
def
934
ref
appTerm
appTerm
4403
ref
1668
ref
appTerm
appTerm
appTerm
4403
remove
1980
ref
appTerm
appTerm
refl
appThm
trans
4399
remove
refl
4404
def
4391
remove
assume
appThm
eqMp
sym
88
ref
348
ref
251
ref
nil
71
ref
3530
ref
cons
nil
cons
nil
cons
cons
4405
def
520
remove
subst
appThm
4406
def
3240
ref
appThm
2044
ref
1178
ref
subst
4407
def
trans
appThm
4406
ref
3483
ref
appThm
nil
71
ref
3294
remove
cons
nil
cons
nil
cons
cons
4408
def
1178
ref
subst
4409
def
trans
appThm
appThm
4406
remove
1980
ref
refl
4410
def
appThm
nil
71
ref
1980
ref
nil
cons
4411
def
cons
nil
cons
nil
cons
cons
4412
def
1178
remove
subst
4413
def
trans
appThm
nil
226
ref
4411
remove
cons
nil
cons
nil
cons
cons
1045
remove
subst
4414
def
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
4392
ref
cons
86
ref
4394
ref
cons
nil
cons
4415
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
ref
4390
remove
63
ref
appTerm
4416
def
nil
cons
4417
def
cons
4395
remove
cons
nil
cons
cons
4418
def
58
ref
subst
4418
remove
128
ref
subst
4401
remove
"_3237"
3
ref
var
4419
def
40
ref
47
ref
240
ref
47
ref
4419
remove
varTerm
appTerm
3529
ref
appTerm
appTerm
4420
def
934
ref
appTerm
appTerm
4420
ref
1668
ref
appTerm
appTerm
appTerm
4420
remove
1980
ref
appTerm
appTerm
absTerm
63
ref
appTerm
betaConv
appThm
4402
remove
40
ref
47
ref
240
ref
443
remove
3529
ref
appTerm
appTerm
4421
def
934
ref
appTerm
appTerm
4421
ref
1668
ref
appTerm
appTerm
appTerm
4421
remove
1980
ref
appTerm
appTerm
refl
appThm
trans
4404
remove
4416
remove
assume
appThm
eqMp
sym
88
ref
348
ref
251
remove
4405
remove
447
remove
subst
appThm
4422
def
3240
remove
appThm
appThm
4422
ref
3483
remove
appThm
appThm
appThm
4422
remove
4410
remove
appThm
appThm
sym
nil
36
ref
40
ref
3529
ref
appTerm
4423
def
265
ref
appTerm
4424
def
nil
cons
4425
def
cons
37
ref
40
ref
47
ref
240
ref
3529
ref
appTerm
4426
def
934
ref
appTerm
appTerm
4426
ref
1668
ref
appTerm
appTerm
appTerm
4426
remove
1980
ref
appTerm
appTerm
nil
cons
4427
def
cons
nil
cons
4428
def
cons
nil
cons
cons
4429
def
58
ref
subst
4429
remove
128
ref
subst
40
ref
"_3243"
3
ref
var
4430
def
40
ref
47
ref
240
ref
4430
remove
varTerm
appTerm
4431
def
934
ref
appTerm
appTerm
4431
ref
1668
ref
appTerm
appTerm
appTerm
4431
remove
1980
ref
appTerm
appTerm
absTerm
4432
def
3529
ref
appTerm
4433
def
appTerm
refl
4434
def
4432
ref
265
remove
appTerm
betaConv
appThm
88
ref
4433
remove
betaConv
appThm
4435
def
40
ref
47
ref
738
ref
934
ref
appTerm
appTerm
738
ref
1668
ref
appTerm
appTerm
appTerm
738
remove
1980
ref
appTerm
appTerm
refl
appThm
trans
4432
remove
refl
4436
def
4424
remove
assume
appThm
eqMp
sym
88
ref
348
ref
4407
remove
appThm
4409
remove
appThm
appThm
4413
remove
appThm
4414
remove
trans
sym
77
ref
eqMp
eqMp
eqMp
nil
84
ref
4425
ref
cons
86
ref
4427
ref
cons
nil
cons
4437
def
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
nil
36
remove
4423
remove
63
ref
appTerm
4438
def
nil
cons
4439
def
cons
4428
remove
cons
nil
cons
cons
4440
def
58
remove
subst
4440
remove
128
remove
subst
4434
remove
"_3241"
3
remove
var
4441
def
40
ref
47
ref
240
remove
4441
remove
varTerm
appTerm
4442
def
934
ref
appTerm
appTerm
4442
ref
1668
ref
appTerm
appTerm
appTerm
4442
remove
1980
ref
appTerm
appTerm
absTerm
63
remove
appTerm
betaConv
appThm
4435
remove
40
ref
47
remove
311
ref
934
remove
appTerm
appTerm
311
ref
1668
remove
appTerm
appTerm
appTerm
311
remove
1980
remove
appTerm
appTerm
refl
appThm
trans
4436
remove
4438
remove
assume
appThm
eqMp
sym
88
remove
348
remove
2044
remove
315
ref
subst
appThm
4408
remove
315
ref
subst
appThm
483
remove
trans
appThm
4412
remove
315
remove
subst
appThm
489
remove
trans
sym
77
remove
eqMp
eqMp
eqMp
nil
84
ref
4439
remove
cons
4443
def
4437
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
ref
3529
remove
appTerm
4444
def
betaConv
754
ref
nil
755
ref
37
ref
4444
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
subst
proveHyp
224
ref
756
ref
226
ref
3530
remove
cons
nil
cons
cons
nil
cons
cons
139
ref
subst
eqMp
eqMp
nil
4443
remove
86
ref
4425
remove
cons
757
ref
4427
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
84
remove
4417
remove
cons
4445
def
4415
remove
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
751
remove
4389
ref
appTerm
4446
def
betaConv
754
remove
nil
755
remove
37
remove
4446
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
remove
subst
proveHyp
224
remove
756
remove
226
remove
4389
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
139
remove
subst
eqMp
eqMp
nil
4445
remove
86
ref
4392
remove
cons
757
remove
4394
remove
cons
nil
cons
cons
cons
nil
cons
cons
773
remove
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
eqMp
nil
3652
remove
86
remove
4384
remove
cons
nil
cons
cons
nil
cons
cons
100
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
4308
remove
appTerm
thm
nil
111
ref
112
ref
7
ref
146
ref
7
ref
9
ref
40
remove
4310
remove
appTerm
3715
remove
4387
remove
appTerm
appTerm
4447
def
absTerm
4448
def
appTerm
4449
def
absTerm
4450
def
appTerm
4451
def
absTerm
4452
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
ref
nil
71
ref
4451
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4450
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
ref
nil
71
ref
4449
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4448
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
9
ref
nil
71
ref
4447
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
3766
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
4452
remove
appTerm
thm
4296
remove
4299
remove
100
remove
subst
proveHyp
nil
4297
remove
thm
nil
111
ref
112
ref
7
ref
146
ref
7
ref
9
ref
3443
remove
absTerm
4453
def
appTerm
4454
def
absTerm
4455
def
appTerm
4456
def
absTerm
4457
def
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
112
remove
nil
71
ref
4456
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
ref
4455
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
ref
subst
146
remove
nil
71
ref
4454
remove
nil
cons
cons
nil
cons
nil
cons
cons
78
ref
subst
nil
111
remove
4453
remove
nil
cons
cons
nil
cons
nil
cons
cons
329
remove
subst
9
remove
nil
71
remove
3444
remove
cons
nil
cons
nil
cons
cons
78
remove
subst
3706
remove
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
remove
4457
remove
appTerm
thm