6
version
"Data.Bool.!"
const
0
def
"->"
typeOp
1
def
1
ref
"Data.Byte.byte"
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
"b"
2
ref
var
8
def
"="
const
9
def
1
ref
"Data.Word16.word16"
typeOp
nil
opType
10
def
1
ref
10
ref
4
ref
cons
opType
11
def
nil
cons
cons
opType
constTerm
12
def
"Data.Word16.fromNatural"
const
1
ref
"Number.Natural.natural"
typeOp
nil
opType
13
def
10
ref
nil
cons
14
def
cons
opType
15
def
constTerm
16
def
"Data.Byte.toNatural"
const
1
ref
2
ref
13
ref
nil
cons
17
def
cons
opType
constTerm
18
def
8
ref
varTerm
19
def
appTerm
20
def
appTerm
21
def
appTerm
22
def
refl
nil
"l"
"Data.List.list"
typeOp
23
def
4
ref
opType
24
def
var
25
def
"Data.Byte.Bits.fromByte"
const
1
ref
2
ref
24
ref
nil
cons
26
def
cons
opType
constTerm
27
def
19
ref
appTerm
28
def
nil
cons
cons
nil
cons
nil
cons
cons
25
ref
12
ref
"Data.Word16.Bits.toWord"
const
1
ref
24
ref
14
ref
cons
opType
constTerm
29
def
25
ref
varTerm
30
def
appTerm
31
def
appTerm
16
ref
"Number.Natural.Bits.fromList"
const
1
ref
24
ref
17
ref
cons
opType
32
def
constTerm
33
def
30
ref
appTerm
34
def
appTerm
appTerm
absTerm
35
def
30
ref
appTerm
36
def
betaConv
nil
0
ref
1
ref
1
ref
24
ref
4
ref
cons
opType
37
def
4
ref
cons
opType
constTerm
38
def
35
ref
appTerm
39
def
axiom
nil
"p"
3
ref
var
40
def
39
remove
nil
cons
cons
"q"
3
ref
var
41
def
36
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
9
ref
1
ref
3
ref
1
ref
3
ref
4
ref
cons
opType
42
def
nil
cons
cons
opType
43
def
constTerm
44
def
"Data.Bool.==>"
const
43
ref
constTerm
45
def
40
ref
varTerm
46
def
appTerm
47
def
41
ref
varTerm
48
def
appTerm
49
def
appTerm
refl
40
ref
41
ref
44
ref
"Data.Bool./\\"
const
43
ref
constTerm
50
def
46
ref
appTerm
51
def
48
ref
appTerm
52
def
appTerm
53
def
46
ref
appTerm
absTerm
54
def
absTerm
55
def
46
ref
appTerm
betaConv
48
ref
refl
56
def
appThm
54
remove
48
ref
appTerm
betaConv
trans
appThm
nil
9
ref
1
ref
43
ref
1
ref
43
ref
4
ref
cons
opType
57
def
nil
cons
cons
opType
constTerm
58
def
45
ref
appTerm
55
remove
appTerm
axiom
46
ref
refl
59
def
appThm
56
ref
appThm
eqMp
60
def
sym
61
def
53
remove
refl
41
ref
9
ref
1
ref
57
ref
1
ref
57
remove
4
ref
cons
opType
nil
cons
cons
opType
constTerm
62
def
"f"
43
ref
var
63
def
63
ref
varTerm
64
def
46
ref
appTerm
48
ref
appTerm
absTerm
65
def
appTerm
63
ref
64
ref
"Data.Bool.T"
const
3
ref
constTerm
66
def
appTerm
66
ref
appTerm
absTerm
67
def
appTerm
absTerm
68
def
48
ref
appTerm
betaConv
appThm
9
ref
1
ref
42
ref
1
ref
42
ref
4
ref
cons
opType
69
def
nil
cons
cons
opType
constTerm
70
def
51
remove
appTerm
refl
40
ref
68
remove
absTerm
71
def
46
ref
appTerm
betaConv
appThm
nil
58
ref
50
ref
appTerm
71
ref
appTerm
axiom
72
def
59
remove
appThm
eqMp
56
ref
appThm
eqMp
73
def
sym
63
ref
64
ref
refl
nil
"t"
3
ref
var
74
def
46
ref
nil
cons
75
def
cons
nil
cons
nil
cons
cons
76
def
44
ref
74
ref
varTerm
77
def
appTerm
78
def
66
ref
appTerm
79
def
assume
sym
nil
66
ref
axiom
80
def
eqMp
77
ref
assume
80
ref
deductAntisym
deductAntisym
81
def
subst
46
ref
assume
82
def
eqMp
appThm
nil
74
ref
48
ref
nil
cons
83
def
cons
nil
cons
nil
cons
cons
84
def
81
ref
subst
48
ref
assume
85
def
eqMp
appThm
absThm
eqMp
86
def
nil
"P"
3
ref
var
87
def
75
ref
cons
"Q"
3
ref
var
88
def
83
ref
cons
nil
cons
89
def
cons
nil
cons
cons
44
ref
refl
90
def
63
ref
64
remove
87
ref
varTerm
91
def
appTerm
92
def
88
ref
varTerm
93
def
appTerm
absTerm
94
def
40
ref
41
ref
46
ref
absTerm
absTerm
95
def
appTerm
betaConv
95
ref
91
ref
appTerm
betaConv
93
ref
refl
96
def
appThm
41
ref
91
ref
absTerm
93
ref
appTerm
betaConv
trans
trans
appThm
67
ref
95
ref
appTerm
betaConv
95
ref
66
ref
appTerm
betaConv
66
ref
refl
97
def
appThm
41
ref
66
ref
absTerm
66
ref
appTerm
betaConv
trans
trans
appThm
44
ref
50
ref
91
ref
appTerm
98
def
93
ref
appTerm
99
def
appTerm
refl
41
ref
62
remove
63
ref
92
remove
48
ref
appTerm
absTerm
appTerm
67
ref
appTerm
absTerm
93
ref
appTerm
betaConv
appThm
70
ref
98
remove
appTerm
refl
71
remove
91
ref
appTerm
betaConv
appThm
72
remove
91
ref
refl
100
def
appThm
eqMp
96
ref
appThm
eqMp
99
remove
assume
eqMp
101
def
95
remove
refl
appThm
eqMp
sym
80
ref
eqMp
102
def
subst
deductAntisym
eqMp
60
remove
49
ref
assume
eqMp
sym
82
remove
eqMp
90
ref
65
remove
40
ref
41
ref
48
ref
absTerm
103
def
absTerm
104
def
appTerm
betaConv
104
ref
46
ref
appTerm
betaConv
56
ref
appThm
103
ref
48
ref
appTerm
betaConv
trans
trans
appThm
67
remove
104
ref
appTerm
betaConv
104
ref
66
ref
appTerm
betaConv
97
remove
appThm
103
ref
66
ref
appTerm
betaConv
trans
trans
105
def
appThm
73
remove
52
ref
assume
eqMp
104
ref
refl
106
def
appThm
eqMp
sym
80
ref
eqMp
107
def
proveHyp
deductAntisym
108
def
subst
proveHyp
"A"
26
ref
cons
nil
cons
109
def
"P"
37
ref
var
110
def
35
remove
nil
cons
cons
"x"
24
ref
var
30
ref
nil
cons
cons
nil
cons
111
def
cons
nil
cons
cons
nil
40
ref
0
ref
1
ref
1
ref
"A"
varType
112
def
4
ref
cons
opType
113
def
4
ref
cons
opType
114
def
constTerm
115
def
"P"
113
ref
var
116
def
varTerm
117
def
appTerm
118
def
nil
cons
119
def
cons
41
ref
117
ref
"x"
112
ref
var
120
def
varTerm
121
def
appTerm
122
def
nil
cons
123
def
cons
nil
cons
cons
nil
cons
cons
124
def
61
ref
subst
124
remove
107
remove
86
remove
deductAntisym
125
def
subst
44
ref
122
ref
appTerm
refl
120
ref
66
ref
absTerm
126
def
121
ref
appTerm
betaConv
appThm
"p"
113
ref
var
127
def
9
ref
1
ref
113
ref
114
ref
nil
cons
cons
opType
constTerm
127
ref
varTerm
128
def
appTerm
126
remove
appTerm
absTerm
129
def
117
ref
appTerm
betaConv
130
def
nil
9
ref
1
ref
114
ref
1
ref
114
ref
4
ref
cons
opType
131
def
nil
cons
cons
opType
constTerm
132
def
115
ref
appTerm
129
remove
appTerm
axiom
117
ref
refl
133
def
appThm
134
def
118
ref
assume
eqMp
eqMp
121
ref
refl
135
def
appThm
eqMp
sym
80
ref
eqMp
eqMp
nil
87
ref
119
remove
cons
88
ref
123
ref
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
136
def
subst
eqMp
eqMp
subst
16
ref
refl
137
def
33
ref
refl
138
def
nil
"w"
2
ref
var
139
def
19
ref
nil
cons
140
def
cons
nil
cons
nil
cons
cons
141
def
139
ref
9
ref
1
ref
24
ref
37
remove
nil
cons
cons
opType
constTerm
142
def
27
ref
139
ref
varTerm
143
def
appTerm
appTerm
"Number.Natural.Bits.toVector"
const
1
ref
13
ref
1
ref
13
ref
26
ref
cons
opType
nil
cons
144
def
cons
opType
constTerm
145
def
18
ref
143
ref
appTerm
146
def
appTerm
"Data.Byte.width"
const
13
ref
constTerm
147
def
appTerm
appTerm
absTerm
148
def
143
ref
appTerm
149
def
betaConv
nil
7
ref
148
ref
appTerm
150
def
axiom
nil
40
ref
150
remove
nil
cons
cons
41
ref
149
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
2
ref
nil
cons
151
def
cons
152
def
nil
cons
153
def
"P"
5
ref
var
154
def
148
remove
nil
cons
cons
"x"
2
ref
var
155
def
143
ref
nil
cons
cons
nil
cons
156
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
appThm
nil
"k"
13
ref
var
157
def
147
ref
nil
cons
cons
"n"
13
ref
var
158
def
20
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
157
ref
9
ref
1
ref
13
ref
1
ref
13
ref
4
ref
cons
opType
159
def
nil
cons
160
def
cons
opType
161
def
constTerm
162
def
33
remove
145
ref
158
ref
varTerm
163
def
appTerm
157
ref
varTerm
164
def
appTerm
appTerm
appTerm
"Number.Natural.Bits.bound"
const
1
ref
13
ref
1
ref
13
ref
17
ref
cons
opType
165
def
nil
cons
cons
opType
166
def
constTerm
167
def
163
ref
appTerm
164
ref
appTerm
appTerm
absTerm
168
def
164
ref
appTerm
169
def
betaConv
158
ref
0
ref
1
ref
159
ref
4
ref
cons
opType
170
def
constTerm
171
def
168
ref
appTerm
172
def
absTerm
173
def
163
ref
appTerm
174
def
betaConv
nil
171
ref
173
ref
appTerm
175
def
axiom
nil
40
ref
175
remove
nil
cons
cons
41
ref
174
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
17
ref
cons
nil
cons
176
def
"P"
159
ref
var
177
def
173
remove
nil
cons
cons
"x"
13
ref
var
178
def
163
ref
nil
cons
179
def
cons
nil
cons
180
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
172
remove
nil
cons
cons
41
ref
169
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
168
remove
nil
cons
cons
178
ref
164
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
181
def
subst
141
remove
139
remove
162
ref
167
ref
146
ref
appTerm
147
ref
appTerm
appTerm
146
remove
appTerm
absTerm
182
def
143
remove
appTerm
183
def
betaConv
nil
7
ref
182
ref
appTerm
184
def
axiom
nil
40
ref
184
remove
nil
cons
cons
41
ref
183
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
182
remove
nil
cons
cons
156
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
trans
trans
appThm
trans
appThm
nil
"x"
10
ref
var
185
def
21
remove
nil
cons
cons
nil
cons
nil
cons
cons
"A"
14
ref
cons
nil
cons
186
def
nil
nil
cons
187
def
cons
188
def
nil
74
ref
9
ref
1
ref
112
ref
113
ref
nil
cons
189
def
cons
opType
constTerm
190
def
121
ref
appTerm
191
def
121
ref
appTerm
192
def
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
135
ref
eqMp
193
def
subst
subst
trans
absThm
appThm
nil
74
ref
66
ref
nil
cons
cons
nil
cons
nil
cons
cons
194
def
153
ref
187
ref
cons
195
def
74
ref
44
ref
115
ref
120
ref
77
ref
absTerm
appTerm
appTerm
77
ref
appTerm
absTerm
196
def
77
ref
appTerm
197
def
betaConv
nil
0
ref
69
ref
constTerm
198
def
196
ref
appTerm
199
def
axiom
nil
40
ref
199
remove
nil
cons
cons
41
ref
197
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
4
ref
cons
200
def
nil
cons
201
def
"P"
42
ref
var
202
def
196
remove
nil
cons
cons
"x"
3
ref
var
203
def
77
ref
nil
cons
cons
nil
cons
204
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
205
def
subst
subst
trans
sym
80
ref
eqMp
206
def
nil
7
ref
8
ref
22
remove
29
ref
28
remove
appTerm
appTerm
absTerm
207
def
appTerm
208
def
thm
0
ref
1
ref
11
ref
4
ref
cons
opType
constTerm
209
def
refl
"w"
10
ref
var
210
def
9
ref
1
ref
2
ref
5
remove
nil
cons
cons
opType
constTerm
211
def
"Data.Byte.fromNatural"
const
1
ref
13
ref
151
ref
cons
opType
constTerm
212
def
"Data.Word16.toNatural"
const
1
ref
10
ref
17
ref
cons
opType
constTerm
213
def
210
ref
varTerm
214
def
appTerm
215
def
appTerm
216
def
appTerm
217
def
refl
nil
25
ref
"Data.Word16.Bits.fromWord"
const
1
ref
10
ref
26
ref
cons
opType
constTerm
218
def
214
ref
appTerm
219
def
nil
cons
cons
nil
cons
nil
cons
cons
25
ref
211
ref
"Data.Byte.Bits.toByte"
const
1
ref
24
ref
151
ref
cons
opType
constTerm
220
def
30
ref
appTerm
221
def
appTerm
212
ref
34
remove
appTerm
appTerm
absTerm
222
def
30
ref
appTerm
223
def
betaConv
nil
38
ref
222
ref
appTerm
224
def
axiom
nil
40
ref
224
remove
nil
cons
cons
41
ref
223
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
109
ref
110
ref
222
remove
nil
cons
cons
111
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
212
ref
refl
138
remove
210
ref
142
ref
219
ref
appTerm
145
remove
215
ref
appTerm
"Data.Word16.width"
const
13
ref
constTerm
225
def
appTerm
appTerm
absTerm
226
def
214
ref
appTerm
227
def
betaConv
nil
209
ref
226
ref
appTerm
228
def
axiom
nil
40
ref
228
remove
nil
cons
cons
41
ref
227
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
"P"
11
remove
var
229
def
226
remove
nil
cons
cons
185
ref
214
ref
nil
cons
cons
nil
cons
230
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
appThm
nil
157
remove
225
ref
nil
cons
cons
158
ref
215
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
181
remove
subst
210
ref
162
ref
167
remove
215
ref
appTerm
225
ref
appTerm
appTerm
215
remove
appTerm
absTerm
231
def
214
ref
appTerm
232
def
betaConv
nil
209
ref
231
ref
appTerm
233
def
axiom
nil
40
ref
233
remove
nil
cons
cons
41
ref
232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
231
remove
nil
cons
cons
230
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
trans
trans
appThm
trans
appThm
nil
155
ref
216
ref
nil
cons
234
def
cons
nil
cons
nil
cons
cons
195
ref
193
ref
subst
subst
trans
absThm
appThm
194
ref
188
ref
205
ref
subst
subst
trans
sym
80
ref
eqMp
235
def
nil
209
ref
210
ref
217
remove
220
ref
219
ref
appTerm
236
def
appTerm
absTerm
237
def
appTerm
238
def
thm
nil
229
ref
210
ref
"Data.Bool.?"
const
239
def
6
remove
constTerm
240
def
"b0"
2
ref
var
241
def
240
ref
"b1"
2
ref
var
242
def
12
ref
214
ref
appTerm
243
def
"Data.Word16.fromBytes"
const
1
ref
2
ref
1
ref
2
ref
14
ref
cons
opType
nil
cons
cons
opType
constTerm
244
def
241
ref
varTerm
245
def
appTerm
242
ref
varTerm
246
def
appTerm
247
def
appTerm
248
def
absTerm
249
def
appTerm
absTerm
250
def
appTerm
251
def
absTerm
252
def
nil
cons
cons
nil
cons
nil
cons
cons
188
ref
44
ref
118
remove
appTerm
refl
130
remove
appThm
134
remove
eqMp
sym
253
def
subst
254
def
subst
210
ref
nil
74
ref
251
ref
nil
cons
255
def
cons
nil
cons
nil
cons
cons
81
ref
subst
241
ref
240
ref
242
ref
50
ref
248
ref
appTerm
9
ref
1
ref
"Data.Pair.*"
typeOp
256
def
2
ref
151
ref
cons
opType
257
def
1
ref
257
ref
4
ref
cons
opType
nil
cons
cons
opType
constTerm
258
def
"Data.Word16.toBytes"
const
1
ref
10
ref
257
ref
nil
cons
259
def
cons
opType
constTerm
214
ref
appTerm
260
def
appTerm
261
def
"Data.Pair.,"
const
262
def
1
ref
2
ref
1
ref
2
ref
259
ref
cons
opType
nil
cons
cons
opType
constTerm
263
def
245
ref
appTerm
246
ref
appTerm
appTerm
264
def
appTerm
265
def
absTerm
266
def
appTerm
267
def
absTerm
268
def
"Data.Pair.fst"
const
269
def
1
ref
257
ref
151
ref
cons
opType
270
def
constTerm
271
def
260
ref
appTerm
272
def
appTerm
betaConv
sym
242
ref
50
ref
243
ref
244
remove
272
ref
appTerm
273
def
246
ref
appTerm
appTerm
appTerm
261
ref
263
ref
272
ref
appTerm
246
ref
appTerm
appTerm
appTerm
absTerm
274
def
"Data.Pair.snd"
const
275
def
270
remove
constTerm
276
def
260
ref
appTerm
277
def
appTerm
betaConv
sym
50
ref
243
ref
273
remove
277
ref
appTerm
appTerm
278
def
appTerm
refl
261
ref
refl
nil
"x"
257
remove
var
260
ref
nil
cons
cons
nil
cons
nil
cons
cons
279
def
152
remove
"B"
151
remove
cons
280
def
nil
cons
cons
187
ref
cons
281
def
"x"
256
remove
112
ref
"B"
varType
282
def
nil
cons
283
def
cons
284
def
opType
285
def
var
286
def
9
ref
1
ref
285
ref
1
ref
285
ref
4
ref
cons
opType
287
def
nil
cons
cons
opType
constTerm
288
def
262
remove
1
ref
112
ref
1
ref
282
ref
285
ref
nil
cons
289
def
cons
opType
nil
cons
cons
opType
constTerm
290
def
269
remove
1
ref
285
ref
112
ref
nil
cons
291
def
cons
opType
constTerm
292
def
286
ref
varTerm
293
def
appTerm
appTerm
275
remove
1
ref
285
remove
283
ref
cons
opType
constTerm
294
def
293
ref
appTerm
appTerm
appTerm
293
ref
appTerm
absTerm
295
def
293
ref
appTerm
296
def
betaConv
nil
0
ref
1
ref
287
ref
4
ref
cons
opType
constTerm
295
ref
appTerm
297
def
axiom
nil
40
ref
297
remove
nil
cons
cons
41
ref
296
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
289
remove
cons
nil
cons
"P"
287
remove
var
295
remove
nil
cons
cons
286
remove
293
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
appThm
279
remove
"A"
259
remove
cons
nil
cons
187
ref
cons
193
ref
subst
subst
trans
appThm
nil
74
ref
278
remove
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
44
ref
50
ref
77
ref
appTerm
298
def
66
ref
appTerm
appTerm
77
ref
appTerm
absTerm
299
def
77
ref
appTerm
300
def
betaConv
nil
198
ref
299
ref
appTerm
301
def
axiom
nil
40
ref
301
remove
nil
cons
cons
41
ref
300
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
299
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
trans
sym
243
ref
refl
302
def
nil
242
ref
277
remove
nil
cons
303
def
cons
241
ref
272
remove
nil
cons
304
def
cons
nil
cons
cons
nil
cons
cons
242
ref
12
ref
247
ref
appTerm
"Data.Word16.or"
const
1
ref
10
ref
1
ref
10
ref
14
remove
cons
opType
nil
cons
cons
opType
305
def
constTerm
306
def
16
ref
18
ref
245
ref
appTerm
appTerm
appTerm
"Data.Word16.shiftLeft"
const
1
ref
10
ref
15
remove
nil
cons
cons
opType
307
def
constTerm
308
def
16
remove
18
ref
246
ref
appTerm
appTerm
appTerm
"Number.Natural.bit0"
const
165
ref
constTerm
309
def
309
ref
309
ref
"Number.Natural.bit1"
const
165
ref
constTerm
310
def
"Number.Natural.zero"
const
13
ref
constTerm
311
def
appTerm
312
def
appTerm
313
def
appTerm
314
def
appTerm
315
def
appTerm
appTerm
appTerm
absTerm
316
def
246
ref
appTerm
317
def
betaConv
241
ref
7
ref
316
ref
appTerm
318
def
absTerm
319
def
245
ref
appTerm
320
def
betaConv
nil
7
ref
319
ref
appTerm
321
def
axiom
nil
40
ref
321
remove
nil
cons
cons
41
ref
320
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
319
remove
nil
cons
cons
155
ref
245
ref
nil
cons
322
def
cons
nil
cons
323
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
318
remove
nil
cons
cons
41
ref
317
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
316
remove
nil
cons
cons
155
ref
246
ref
nil
cons
324
def
cons
nil
cons
325
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
326
def
subst
306
ref
refl
327
def
137
ref
18
remove
refl
328
def
271
remove
refl
210
ref
261
remove
263
ref
216
remove
appTerm
212
remove
213
remove
"Data.Word16.shiftRight"
const
307
remove
constTerm
329
def
214
ref
appTerm
315
ref
appTerm
330
def
appTerm
appTerm
331
def
appTerm
appTerm
absTerm
332
def
214
ref
appTerm
333
def
betaConv
nil
209
ref
332
ref
appTerm
334
def
axiom
nil
40
ref
334
remove
nil
cons
cons
41
ref
333
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
332
remove
nil
cons
cons
230
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
335
def
appThm
nil
8
ref
331
remove
nil
cons
cons
336
def
"a"
2
ref
var
337
def
234
ref
cons
nil
cons
cons
nil
cons
cons
338
def
280
remove
153
ref
cons
187
ref
cons
"b"
282
ref
var
339
def
190
ref
292
remove
290
ref
"a"
112
ref
var
340
def
varTerm
341
def
appTerm
339
ref
varTerm
342
def
appTerm
343
def
appTerm
appTerm
341
ref
appTerm
absTerm
344
def
342
ref
appTerm
345
def
betaConv
340
ref
0
ref
1
ref
1
ref
282
ref
4
ref
cons
opType
346
def
4
ref
cons
opType
constTerm
347
def
344
ref
appTerm
348
def
absTerm
349
def
341
ref
appTerm
350
def
betaConv
nil
115
ref
349
ref
appTerm
351
def
axiom
nil
40
ref
351
remove
nil
cons
cons
41
ref
350
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
291
ref
cons
352
def
nil
cons
353
def
116
ref
349
remove
nil
cons
cons
120
ref
341
ref
nil
cons
cons
nil
cons
354
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
348
remove
nil
cons
cons
41
ref
345
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
283
ref
cons
nil
cons
355
def
"P"
346
ref
var
356
def
344
remove
nil
cons
cons
"x"
282
ref
var
357
def
342
ref
nil
cons
cons
nil
cons
358
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
appThm
appThm
308
ref
refl
359
def
137
remove
328
remove
276
remove
refl
335
ref
appThm
338
remove
281
ref
339
ref
9
ref
1
ref
282
ref
346
remove
nil
cons
cons
opType
constTerm
360
def
294
remove
343
ref
appTerm
appTerm
342
ref
appTerm
absTerm
361
def
342
ref
appTerm
362
def
betaConv
340
ref
347
ref
361
ref
appTerm
363
def
absTerm
364
def
341
ref
appTerm
365
def
betaConv
nil
115
ref
364
ref
appTerm
366
def
axiom
nil
40
ref
366
remove
nil
cons
cons
41
ref
365
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
364
remove
nil
cons
cons
354
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
363
remove
nil
cons
cons
41
ref
362
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
355
ref
356
ref
361
remove
nil
cons
cons
358
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
trans
appThm
appThm
appThm
315
ref
refl
367
def
appThm
appThm
trans
appThm
sym
302
remove
327
ref
nil
8
ref
234
remove
cons
nil
cons
nil
cons
cons
207
ref
19
ref
appTerm
368
def
betaConv
206
remove
nil
40
ref
208
remove
nil
cons
cons
41
ref
368
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
207
remove
nil
cons
cons
155
ref
140
remove
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
369
def
subst
29
ref
refl
370
def
27
ref
refl
371
def
237
ref
214
ref
appTerm
372
def
betaConv
235
remove
nil
40
ref
238
remove
nil
cons
cons
41
ref
372
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
237
remove
nil
cons
cons
230
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
373
def
appThm
appThm
trans
appThm
359
ref
nil
336
remove
nil
cons
nil
cons
cons
369
ref
subst
370
ref
371
ref
nil
210
ref
330
ref
nil
cons
cons
nil
cons
nil
cons
cons
373
ref
subst
374
def
appThm
appThm
trans
appThm
367
ref
appThm
appThm
appThm
sym
210
ref
239
ref
69
remove
constTerm
375
def
"x0"
3
ref
var
376
def
375
ref
"x1"
3
ref
var
377
def
375
ref
"x2"
3
ref
var
378
def
375
ref
"x3"
3
ref
var
379
def
375
ref
"x4"
3
ref
var
380
def
375
ref
"x5"
3
ref
var
381
def
375
ref
"x6"
3
ref
var
382
def
375
ref
"x7"
3
ref
var
383
def
375
ref
"x8"
3
ref
var
384
def
375
ref
"x9"
3
ref
var
385
def
375
ref
"x10"
3
ref
var
386
def
375
ref
"x11"
3
ref
var
387
def
375
ref
"x12"
3
ref
var
388
def
375
ref
"x13"
3
ref
var
389
def
375
ref
"x14"
3
ref
var
390
def
375
ref
"x15"
3
ref
var
391
def
243
ref
29
ref
"Data.List.::"
const
392
def
1
ref
3
ref
1
ref
24
ref
26
remove
cons
opType
nil
cons
393
def
cons
opType
constTerm
394
def
376
ref
varTerm
395
def
appTerm
396
def
394
ref
377
ref
varTerm
397
def
appTerm
398
def
394
ref
378
ref
varTerm
399
def
appTerm
400
def
394
ref
379
ref
varTerm
401
def
appTerm
402
def
394
ref
380
ref
varTerm
403
def
appTerm
404
def
394
ref
381
ref
varTerm
405
def
appTerm
406
def
394
ref
382
ref
varTerm
407
def
appTerm
408
def
394
ref
383
ref
varTerm
409
def
appTerm
410
def
394
ref
384
ref
varTerm
411
def
appTerm
412
def
394
ref
385
ref
varTerm
413
def
appTerm
414
def
394
ref
386
ref
varTerm
415
def
appTerm
416
def
394
ref
387
ref
varTerm
417
def
appTerm
418
def
394
ref
388
ref
varTerm
419
def
appTerm
420
def
394
ref
389
ref
varTerm
421
def
appTerm
422
def
394
ref
390
ref
varTerm
423
def
appTerm
424
def
394
ref
391
ref
varTerm
425
def
appTerm
426
def
"Data.List.[]"
const
427
def
24
ref
constTerm
428
def
appTerm
429
def
appTerm
430
def
appTerm
431
def
appTerm
432
def
appTerm
433
def
appTerm
434
def
appTerm
435
def
appTerm
436
def
appTerm
437
def
appTerm
438
def
appTerm
439
def
appTerm
440
def
appTerm
441
def
appTerm
442
def
appTerm
443
def
appTerm
444
def
appTerm
445
def
appTerm
446
def
absTerm
447
def
appTerm
448
def
absTerm
449
def
appTerm
450
def
absTerm
451
def
appTerm
452
def
absTerm
453
def
appTerm
454
def
absTerm
455
def
appTerm
456
def
absTerm
457
def
appTerm
458
def
absTerm
459
def
appTerm
460
def
absTerm
461
def
appTerm
462
def
absTerm
463
def
appTerm
464
def
absTerm
465
def
appTerm
466
def
absTerm
467
def
appTerm
468
def
absTerm
469
def
appTerm
470
def
absTerm
471
def
appTerm
472
def
absTerm
473
def
appTerm
474
def
absTerm
475
def
appTerm
476
def
absTerm
477
def
appTerm
478
def
absTerm
479
def
214
ref
appTerm
480
def
betaConv
nil
209
ref
479
ref
appTerm
481
def
axiom
nil
40
ref
481
remove
nil
cons
cons
41
ref
480
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
479
remove
nil
cons
cons
230
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
482
def
nil
40
ref
478
ref
nil
cons
cons
483
def
41
ref
243
remove
306
ref
29
ref
27
ref
236
ref
appTerm
appTerm
appTerm
308
ref
29
ref
27
ref
220
ref
218
ref
330
remove
appTerm
appTerm
484
def
appTerm
appTerm
appTerm
315
ref
appTerm
appTerm
appTerm
485
def
nil
cons
486
def
cons
nil
cons
487
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
376
ref
45
ref
477
ref
395
ref
appTerm
488
def
appTerm
489
def
485
ref
appTerm
490
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
201
ref
187
ref
cons
491
def
253
ref
subst
492
def
subst
376
ref
nil
74
ref
490
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
488
ref
nil
cons
493
def
cons
494
def
487
ref
cons
nil
cons
cons
495
def
61
ref
subst
495
remove
125
ref
subst
488
ref
betaConv
488
remove
assume
eqMp
496
def
nil
40
ref
476
ref
nil
cons
cons
497
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
377
ref
45
ref
475
ref
397
ref
appTerm
498
def
appTerm
499
def
485
ref
appTerm
500
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
377
ref
nil
74
ref
500
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
498
ref
nil
cons
501
def
cons
502
def
487
ref
cons
nil
cons
cons
503
def
61
ref
subst
503
remove
125
ref
subst
498
ref
betaConv
498
remove
assume
eqMp
504
def
nil
40
ref
474
ref
nil
cons
cons
505
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
378
ref
45
ref
473
ref
399
ref
appTerm
506
def
appTerm
507
def
485
ref
appTerm
508
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
378
ref
nil
74
ref
508
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
506
ref
nil
cons
509
def
cons
510
def
487
ref
cons
nil
cons
cons
511
def
61
ref
subst
511
remove
125
ref
subst
506
ref
betaConv
506
remove
assume
eqMp
512
def
nil
40
ref
472
ref
nil
cons
cons
513
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
379
ref
45
ref
471
ref
401
ref
appTerm
514
def
appTerm
515
def
485
ref
appTerm
516
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
379
ref
nil
74
ref
516
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
514
ref
nil
cons
517
def
cons
518
def
487
ref
cons
nil
cons
cons
519
def
61
ref
subst
519
remove
125
ref
subst
514
ref
betaConv
514
remove
assume
eqMp
520
def
nil
40
ref
470
ref
nil
cons
cons
521
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
380
ref
45
ref
469
ref
403
ref
appTerm
522
def
appTerm
523
def
485
ref
appTerm
524
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
380
ref
nil
74
ref
524
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
522
ref
nil
cons
525
def
cons
526
def
487
ref
cons
nil
cons
cons
527
def
61
ref
subst
527
remove
125
ref
subst
522
ref
betaConv
522
remove
assume
eqMp
528
def
nil
40
ref
468
ref
nil
cons
cons
529
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
381
ref
45
ref
467
ref
405
ref
appTerm
530
def
appTerm
531
def
485
ref
appTerm
532
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
381
ref
nil
74
ref
532
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
530
ref
nil
cons
533
def
cons
534
def
487
ref
cons
nil
cons
cons
535
def
61
ref
subst
535
remove
125
ref
subst
530
ref
betaConv
530
remove
assume
eqMp
536
def
nil
40
ref
466
ref
nil
cons
cons
537
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
382
ref
45
ref
465
ref
407
ref
appTerm
538
def
appTerm
539
def
485
ref
appTerm
540
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
382
ref
nil
74
ref
540
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
538
ref
nil
cons
541
def
cons
542
def
487
ref
cons
nil
cons
cons
543
def
61
ref
subst
543
remove
125
ref
subst
538
ref
betaConv
538
remove
assume
eqMp
544
def
nil
40
ref
464
ref
nil
cons
cons
545
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
383
ref
45
ref
463
ref
409
ref
appTerm
546
def
appTerm
547
def
485
ref
appTerm
548
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
383
ref
nil
74
ref
548
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
546
ref
nil
cons
549
def
cons
550
def
487
ref
cons
nil
cons
cons
551
def
61
ref
subst
551
remove
125
ref
subst
546
ref
betaConv
546
remove
assume
eqMp
552
def
nil
40
ref
462
ref
nil
cons
cons
553
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
384
ref
45
ref
461
ref
411
ref
appTerm
554
def
appTerm
555
def
485
ref
appTerm
556
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
384
ref
nil
74
ref
556
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
554
ref
nil
cons
557
def
cons
558
def
487
ref
cons
nil
cons
cons
559
def
61
ref
subst
559
remove
125
ref
subst
554
ref
betaConv
554
remove
assume
eqMp
560
def
nil
40
ref
460
ref
nil
cons
cons
561
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
385
ref
45
ref
459
ref
413
ref
appTerm
562
def
appTerm
563
def
485
ref
appTerm
564
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
385
ref
nil
74
ref
564
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
562
ref
nil
cons
565
def
cons
566
def
487
ref
cons
nil
cons
cons
567
def
61
ref
subst
567
remove
125
ref
subst
562
ref
betaConv
562
remove
assume
eqMp
568
def
nil
40
ref
458
ref
nil
cons
cons
569
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
386
ref
45
ref
457
ref
415
ref
appTerm
570
def
appTerm
571
def
485
ref
appTerm
572
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
386
ref
nil
74
ref
572
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
570
ref
nil
cons
573
def
cons
574
def
487
ref
cons
nil
cons
cons
575
def
61
ref
subst
575
remove
125
ref
subst
570
ref
betaConv
570
remove
assume
eqMp
576
def
nil
40
ref
456
ref
nil
cons
cons
577
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
387
ref
45
ref
455
ref
417
ref
appTerm
578
def
appTerm
579
def
485
ref
appTerm
580
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
387
ref
nil
74
ref
580
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
578
ref
nil
cons
581
def
cons
582
def
487
ref
cons
nil
cons
cons
583
def
61
ref
subst
583
remove
125
ref
subst
578
ref
betaConv
578
remove
assume
eqMp
584
def
nil
40
ref
454
ref
nil
cons
cons
585
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
388
ref
45
ref
453
ref
419
ref
appTerm
586
def
appTerm
587
def
485
ref
appTerm
588
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
388
ref
nil
74
ref
588
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
586
ref
nil
cons
589
def
cons
590
def
487
ref
cons
nil
cons
cons
591
def
61
ref
subst
591
remove
125
ref
subst
586
ref
betaConv
586
remove
assume
eqMp
592
def
nil
40
ref
452
ref
nil
cons
cons
593
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
389
ref
45
ref
451
ref
421
ref
appTerm
594
def
appTerm
595
def
485
ref
appTerm
596
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
389
ref
nil
74
ref
596
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
594
ref
nil
cons
597
def
cons
598
def
487
ref
cons
nil
cons
cons
599
def
61
ref
subst
599
remove
125
ref
subst
594
ref
betaConv
594
remove
assume
eqMp
600
def
nil
40
ref
450
ref
nil
cons
cons
601
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
390
ref
45
ref
449
ref
423
ref
appTerm
602
def
appTerm
603
def
485
ref
appTerm
604
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
390
ref
nil
74
ref
604
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
602
ref
nil
cons
605
def
cons
606
def
487
ref
cons
nil
cons
cons
607
def
61
ref
subst
607
remove
125
ref
subst
602
ref
betaConv
602
remove
assume
eqMp
608
def
nil
40
ref
448
ref
nil
cons
cons
609
def
487
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
391
ref
45
ref
447
ref
425
ref
appTerm
610
def
appTerm
611
def
485
ref
appTerm
612
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
391
ref
nil
74
ref
612
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
610
ref
nil
cons
613
def
cons
614
def
487
ref
cons
nil
cons
cons
615
def
61
ref
subst
615
remove
125
ref
subst
610
ref
betaConv
610
remove
assume
eqMp
616
def
nil
40
ref
446
ref
nil
cons
617
def
cons
618
def
487
remove
cons
nil
cons
cons
619
def
108
ref
subst
proveHyp
619
ref
61
ref
subst
619
remove
125
ref
subst
44
ref
"_31117"
10
ref
var
620
def
12
ref
620
remove
varTerm
621
def
appTerm
306
ref
29
ref
27
ref
220
ref
218
ref
621
ref
appTerm
appTerm
appTerm
appTerm
appTerm
308
ref
29
ref
27
ref
220
ref
218
ref
329
ref
621
remove
appTerm
315
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
315
ref
appTerm
appTerm
appTerm
absTerm
622
def
214
ref
appTerm
623
def
appTerm
refl
622
ref
445
ref
appTerm
betaConv
appThm
90
ref
623
remove
betaConv
appThm
12
ref
445
ref
appTerm
624
def
306
ref
29
ref
27
ref
220
ref
218
ref
445
ref
appTerm
625
def
appTerm
626
def
appTerm
appTerm
appTerm
308
ref
29
ref
27
ref
220
ref
218
ref
329
ref
445
ref
appTerm
315
ref
appTerm
appTerm
appTerm
627
def
appTerm
appTerm
appTerm
315
ref
appTerm
appTerm
appTerm
refl
appThm
trans
622
remove
refl
446
remove
assume
628
def
appThm
eqMp
sym
624
remove
refl
327
ref
370
ref
371
ref
220
ref
refl
629
def
nil
25
ref
444
ref
nil
cons
630
def
cons
nil
cons
631
def
nil
cons
cons
632
def
25
ref
142
ref
218
ref
31
ref
appTerm
appTerm
"Data.Bool.cond"
const
633
def
1
ref
3
ref
1
ref
24
ref
393
ref
cons
opType
634
def
nil
cons
635
def
cons
opType
constTerm
636
def
"Number.Natural.<="
const
161
ref
constTerm
637
def
"Data.List.length"
const
638
def
32
remove
constTerm
639
def
30
ref
appTerm
640
def
appTerm
641
def
225
ref
appTerm
642
def
appTerm
"Data.List.@"
const
643
def
634
remove
constTerm
644
def
30
ref
appTerm
645
def
"Data.List.replicate"
const
646
def
1
ref
3
ref
144
remove
cons
opType
constTerm
"Data.Bool.F"
const
3
ref
constTerm
647
def
appTerm
648
def
"Number.Natural.-"
const
166
ref
constTerm
649
def
225
ref
appTerm
650
def
640
ref
appTerm
appTerm
appTerm
appTerm
"Data.List.take"
const
651
def
1
ref
13
ref
393
remove
cons
opType
652
def
constTerm
653
def
225
ref
appTerm
654
def
30
ref
appTerm
655
def
appTerm
appTerm
absTerm
656
def
30
ref
appTerm
657
def
betaConv
nil
38
ref
656
ref
appTerm
658
def
axiom
nil
40
ref
658
remove
nil
cons
cons
41
ref
657
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
109
ref
110
ref
656
remove
nil
cons
cons
111
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
659
def
subst
636
ref
refl
660
def
637
ref
refl
661
def
162
ref
639
ref
444
ref
appTerm
662
def
appTerm
refl
"Number.Natural.suc"
const
165
remove
constTerm
663
def
refl
664
def
162
ref
639
ref
443
ref
appTerm
665
def
appTerm
refl
664
ref
162
ref
639
ref
442
ref
appTerm
666
def
appTerm
refl
664
ref
162
ref
639
ref
441
ref
appTerm
667
def
appTerm
refl
664
ref
162
ref
639
ref
440
ref
appTerm
668
def
appTerm
refl
664
ref
162
ref
639
ref
439
ref
appTerm
669
def
appTerm
refl
664
ref
162
ref
639
ref
438
ref
appTerm
670
def
appTerm
refl
664
ref
162
ref
639
ref
437
ref
appTerm
671
def
appTerm
refl
664
ref
162
ref
639
ref
436
ref
appTerm
672
def
appTerm
refl
664
ref
162
ref
639
ref
435
ref
appTerm
673
def
appTerm
refl
664
ref
162
ref
639
ref
434
ref
appTerm
674
def
appTerm
refl
664
ref
162
ref
639
ref
433
ref
appTerm
675
def
appTerm
refl
664
ref
162
ref
639
ref
432
ref
appTerm
676
def
appTerm
refl
664
ref
162
ref
639
ref
431
ref
appTerm
677
def
appTerm
refl
664
ref
162
ref
639
ref
430
ref
appTerm
678
def
appTerm
refl
664
ref
162
ref
639
ref
429
ref
appTerm
679
def
appTerm
refl
664
ref
491
ref
nil
162
ref
638
ref
1
ref
23
ref
291
ref
opType
680
def
17
ref
cons
opType
constTerm
681
def
427
ref
680
ref
constTerm
682
def
appTerm
appTerm
311
ref
appTerm
axiom
subst
appThm
50
ref
refl
683
def
171
ref
refl
684
def
158
ref
nil
178
ref
663
ref
163
ref
appTerm
685
def
nil
cons
686
def
cons
nil
cons
nil
cons
cons
176
ref
187
ref
cons
687
def
193
ref
subst
688
def
subst
absThm
appThm
194
ref
687
ref
205
remove
subst
689
def
subst
690
def
trans
appThm
683
ref
162
ref
663
ref
311
ref
appTerm
691
def
appTerm
692
def
refl
nil
158
ref
311
ref
nil
cons
693
def
cons
694
def
nil
cons
695
def
nil
cons
cons
696
def
158
ref
162
ref
310
ref
163
ref
appTerm
697
def
appTerm
663
ref
309
ref
163
ref
appTerm
698
def
appTerm
699
def
appTerm
absTerm
700
def
163
ref
appTerm
701
def
betaConv
nil
171
ref
700
ref
appTerm
702
def
axiom
nil
40
ref
702
remove
nil
cons
cons
41
ref
701
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
700
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
664
ref
158
ref
162
ref
698
ref
appTerm
"Number.Natural.+"
const
166
remove
constTerm
703
def
163
ref
appTerm
704
def
163
ref
appTerm
705
def
appTerm
706
def
absTerm
707
def
163
ref
appTerm
708
def
betaConv
709
def
162
ref
refl
710
def
nil
162
ref
309
ref
311
ref
appTerm
appTerm
711
def
311
ref
appTerm
axiom
appThm
696
ref
158
ref
162
ref
703
ref
311
ref
appTerm
712
def
163
ref
appTerm
appTerm
163
ref
appTerm
absTerm
713
def
163
ref
appTerm
714
def
betaConv
nil
171
ref
713
ref
appTerm
715
def
axiom
nil
40
ref
715
remove
nil
cons
cons
41
ref
714
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
713
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
716
def
subst
717
def
appThm
nil
178
ref
693
ref
cons
nil
cons
nil
cons
cons
688
ref
subst
718
def
trans
sym
80
ref
eqMp
nil
40
ref
711
remove
712
ref
311
ref
appTerm
719
def
appTerm
720
def
nil
cons
cons
41
ref
171
ref
158
ref
45
ref
706
ref
appTerm
162
ref
309
ref
685
ref
appTerm
721
def
appTerm
722
def
703
ref
685
ref
appTerm
685
ref
appTerm
appTerm
723
def
appTerm
724
def
absTerm
725
def
appTerm
726
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
177
ref
725
remove
nil
cons
cons
nil
cons
nil
cons
cons
687
ref
253
ref
subst
727
def
subst
158
ref
nil
74
ref
724
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
706
ref
nil
cons
728
def
cons
41
ref
723
remove
nil
cons
729
def
cons
nil
cons
cons
nil
cons
cons
730
def
61
ref
subst
730
remove
125
ref
subst
710
ref
158
ref
722
remove
663
ref
699
ref
appTerm
appTerm
absTerm
731
def
163
ref
appTerm
732
def
betaConv
nil
171
ref
731
ref
appTerm
733
def
axiom
nil
40
ref
733
remove
nil
cons
cons
41
ref
732
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
731
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
664
ref
664
ref
706
remove
assume
appThm
appThm
trans
appThm
nil
158
ref
686
remove
cons
734
def
"m"
13
ref
var
735
def
179
ref
cons
nil
cons
736
def
cons
nil
cons
cons
158
ref
162
ref
703
ref
663
ref
735
ref
varTerm
737
def
appTerm
738
def
appTerm
163
ref
appTerm
appTerm
663
ref
703
ref
737
ref
appTerm
739
def
163
ref
appTerm
740
def
appTerm
741
def
appTerm
absTerm
742
def
163
ref
appTerm
743
def
betaConv
735
ref
171
ref
742
ref
appTerm
744
def
absTerm
745
def
737
ref
appTerm
746
def
betaConv
nil
171
ref
745
ref
appTerm
747
def
axiom
nil
40
ref
747
remove
nil
cons
cons
41
ref
746
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
745
remove
nil
cons
cons
178
ref
737
ref
nil
cons
748
def
cons
nil
cons
749
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
744
remove
nil
cons
cons
41
ref
743
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
742
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
750
def
subst
751
def
664
ref
nil
736
ref
nil
cons
cons
158
ref
162
ref
739
ref
685
ref
appTerm
appTerm
741
ref
appTerm
absTerm
752
def
163
ref
appTerm
753
def
betaConv
735
ref
171
ref
752
ref
appTerm
754
def
absTerm
755
def
737
ref
appTerm
756
def
betaConv
nil
171
ref
755
ref
appTerm
757
def
axiom
nil
40
ref
757
remove
nil
cons
cons
41
ref
756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
755
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
754
remove
nil
cons
cons
41
ref
753
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
752
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
758
def
subst
appThm
759
def
trans
appThm
nil
178
ref
663
ref
663
ref
705
ref
appTerm
760
def
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
688
ref
subst
761
def
trans
sym
80
ref
eqMp
eqMp
nil
87
ref
728
remove
cons
88
ref
729
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
nil
40
ref
50
ref
720
remove
appTerm
726
remove
appTerm
nil
cons
cons
41
ref
171
ref
707
ref
appTerm
nil
cons
762
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
45
ref
refl
763
def
683
ref
707
ref
311
ref
appTerm
betaConv
appThm
684
ref
158
ref
763
ref
709
ref
appThm
707
ref
685
ref
appTerm
betaConv
appThm
absThm
appThm
appThm
appThm
684
ref
158
ref
709
remove
absThm
appThm
appThm
nil
"p"
159
ref
var
764
def
707
remove
nil
cons
765
def
cons
nil
cons
nil
cons
cons
764
ref
45
ref
50
ref
764
ref
varTerm
766
def
311
ref
appTerm
appTerm
171
ref
158
ref
45
ref
766
ref
163
ref
appTerm
767
def
appTerm
766
ref
685
ref
appTerm
appTerm
absTerm
appTerm
appTerm
appTerm
171
ref
158
ref
767
remove
absTerm
appTerm
appTerm
absTerm
768
def
766
ref
appTerm
769
def
betaConv
nil
0
ref
1
ref
170
ref
4
ref
cons
opType
constTerm
768
ref
appTerm
770
def
axiom
nil
40
ref
770
remove
nil
cons
cons
41
ref
769
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
160
remove
cons
nil
cons
"P"
170
ref
var
768
remove
nil
cons
cons
"x"
159
ref
var
766
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
40
ref
762
remove
cons
41
ref
708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
765
remove
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
771
def
appThm
772
def
trans
773
def
subst
664
ref
717
ref
appThm
774
def
trans
775
def
appThm
nil
178
ref
691
ref
nil
cons
cons
nil
cons
nil
cons
cons
688
ref
subst
trans
appThm
683
ref
684
ref
158
ref
710
ref
772
remove
appThm
773
ref
appThm
nil
178
ref
760
remove
nil
cons
776
def
cons
nil
cons
nil
cons
cons
688
ref
subst
trans
absThm
appThm
690
ref
trans
appThm
684
ref
158
ref
710
ref
664
ref
773
ref
appThm
appThm
nil
734
remove
nil
cons
nil
cons
cons
771
ref
subst
751
remove
trans
759
remove
trans
appThm
761
remove
trans
absThm
appThm
690
ref
trans
appThm
194
ref
74
ref
44
ref
50
ref
66
ref
appTerm
777
def
77
ref
appTerm
appTerm
77
ref
appTerm
absTerm
778
def
77
ref
appTerm
779
def
betaConv
nil
198
ref
778
ref
appTerm
780
def
axiom
nil
40
ref
780
remove
nil
cons
cons
41
ref
779
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
778
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
781
def
subst
782
def
trans
appThm
782
ref
trans
appThm
782
ref
trans
sym
80
ref
eqMp
nil
87
ref
171
ref
158
ref
162
ref
685
ref
appTerm
685
ref
appTerm
absTerm
appTerm
nil
cons
cons
88
ref
50
ref
692
remove
312
ref
appTerm
783
def
appTerm
50
ref
171
ref
158
ref
162
ref
699
remove
appTerm
697
ref
appTerm
absTerm
784
def
appTerm
785
def
appTerm
171
ref
158
ref
162
ref
663
ref
697
ref
appTerm
appTerm
721
remove
appTerm
absTerm
786
def
appTerm
787
def
appTerm
788
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
90
ref
94
remove
104
ref
appTerm
betaConv
104
remove
91
ref
appTerm
betaConv
96
ref
appThm
103
remove
93
ref
appTerm
betaConv
trans
trans
appThm
105
remove
appThm
101
remove
106
remove
appThm
eqMp
sym
80
ref
eqMp
789
def
subst
proveHyp
790
def
nil
87
ref
783
remove
nil
cons
cons
88
ref
788
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
791
def
102
ref
subst
proveHyp
792
def
trans
793
def
appThm
nil
"t"
24
ref
var
794
def
428
ref
nil
cons
795
def
cons
796
def
"h"
3
ref
var
797
def
425
ref
nil
cons
798
def
cons
799
def
nil
cons
800
def
cons
801
def
nil
cons
cons
491
ref
"t"
680
ref
var
802
def
162
ref
681
ref
392
ref
1
ref
112
ref
1
ref
680
ref
680
ref
nil
cons
803
def
cons
opType
nil
cons
804
def
cons
opType
constTerm
805
def
"h"
112
ref
var
806
def
varTerm
807
def
appTerm
808
def
802
ref
varTerm
809
def
appTerm
810
def
appTerm
appTerm
663
ref
681
ref
809
ref
appTerm
811
def
appTerm
appTerm
absTerm
812
def
809
ref
appTerm
813
def
betaConv
806
ref
0
ref
1
ref
1
ref
680
ref
4
ref
cons
opType
814
def
4
ref
cons
opType
constTerm
815
def
812
ref
appTerm
816
def
absTerm
817
def
807
ref
appTerm
818
def
betaConv
nil
115
ref
817
ref
appTerm
819
def
axiom
nil
40
ref
819
remove
nil
cons
cons
41
ref
818
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
817
remove
nil
cons
cons
120
ref
807
ref
nil
cons
cons
nil
cons
820
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
816
remove
nil
cons
cons
41
ref
813
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
803
ref
cons
nil
cons
821
def
"P"
814
ref
var
822
def
812
remove
nil
cons
cons
"x"
680
ref
var
823
def
809
ref
nil
cons
cons
nil
cons
824
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
825
def
subst
eqMp
826
def
appThm
696
ref
786
ref
163
ref
appTerm
827
def
betaConv
790
remove
791
remove
789
ref
subst
proveHyp
828
def
nil
87
ref
785
remove
nil
cons
829
def
cons
88
ref
787
remove
nil
cons
830
def
cons
nil
cons
cons
nil
cons
cons
831
def
789
ref
subst
proveHyp
nil
40
ref
830
remove
cons
41
ref
827
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
786
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
832
def
subst
309
ref
refl
833
def
792
ref
appThm
trans
834
def
trans
appThm
nil
794
ref
429
ref
nil
cons
835
def
cons
797
ref
423
ref
nil
cons
836
def
cons
837
def
nil
cons
838
def
cons
839
def
nil
cons
cons
825
ref
subst
eqMp
840
def
appThm
nil
158
ref
312
ref
nil
cons
841
def
cons
842
def
nil
cons
843
def
nil
cons
cons
844
def
784
ref
163
ref
appTerm
845
def
betaConv
828
remove
831
remove
102
ref
subst
proveHyp
nil
40
ref
829
remove
cons
41
ref
845
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
784
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
846
def
subst
847
def
trans
appThm
nil
794
ref
430
ref
nil
cons
848
def
cons
797
ref
421
ref
nil
cons
849
def
cons
850
def
nil
cons
851
def
cons
852
def
nil
cons
cons
825
ref
subst
eqMp
853
def
appThm
844
ref
832
ref
subst
833
ref
834
ref
appThm
trans
854
def
trans
appThm
nil
794
ref
431
ref
nil
cons
855
def
cons
797
ref
419
ref
nil
cons
856
def
cons
857
def
nil
cons
858
def
cons
859
def
nil
cons
cons
825
ref
subst
eqMp
860
def
appThm
nil
158
ref
313
ref
nil
cons
861
def
cons
862
def
nil
cons
863
def
nil
cons
cons
864
def
846
ref
subst
865
def
trans
appThm
nil
794
ref
432
ref
nil
cons
866
def
cons
797
ref
417
ref
nil
cons
867
def
cons
868
def
nil
cons
869
def
cons
870
def
nil
cons
cons
825
ref
subst
eqMp
871
def
appThm
864
ref
832
ref
subst
833
ref
847
ref
appThm
trans
872
def
trans
appThm
nil
794
ref
433
ref
nil
cons
873
def
cons
797
ref
415
ref
nil
cons
874
def
cons
875
def
nil
cons
876
def
cons
877
def
nil
cons
cons
825
ref
subst
eqMp
878
def
appThm
nil
158
ref
310
ref
312
ref
appTerm
879
def
nil
cons
880
def
cons
881
def
nil
cons
882
def
nil
cons
cons
883
def
846
ref
subst
884
def
trans
appThm
nil
794
ref
434
ref
nil
cons
885
def
cons
797
ref
413
ref
nil
cons
886
def
cons
887
def
nil
cons
888
def
cons
889
def
nil
cons
cons
825
ref
subst
eqMp
890
def
appThm
883
ref
832
ref
subst
833
ref
854
ref
appThm
trans
891
def
trans
appThm
nil
794
ref
435
ref
nil
cons
892
def
cons
797
ref
411
ref
nil
cons
893
def
cons
894
def
nil
cons
895
def
cons
896
def
nil
cons
cons
825
ref
subst
eqMp
897
def
appThm
nil
158
ref
314
ref
nil
cons
898
def
cons
899
def
nil
cons
900
def
nil
cons
cons
901
def
846
ref
subst
902
def
trans
903
def
appThm
nil
794
ref
436
ref
nil
cons
904
def
cons
905
def
797
ref
409
ref
nil
cons
906
def
cons
907
def
nil
cons
908
def
cons
909
def
nil
cons
cons
825
ref
subst
eqMp
910
def
appThm
901
ref
832
ref
subst
833
ref
865
ref
appThm
trans
911
def
trans
appThm
nil
794
ref
437
ref
nil
cons
912
def
cons
913
def
797
ref
407
ref
nil
cons
914
def
cons
915
def
nil
cons
916
def
cons
917
def
nil
cons
cons
825
ref
subst
eqMp
918
def
appThm
nil
158
ref
310
ref
313
ref
appTerm
919
def
nil
cons
cons
920
def
nil
cons
921
def
nil
cons
cons
922
def
846
ref
subst
923
def
trans
appThm
nil
794
ref
438
ref
nil
cons
924
def
cons
925
def
797
ref
405
ref
nil
cons
926
def
cons
927
def
nil
cons
928
def
cons
929
def
nil
cons
cons
825
ref
subst
eqMp
930
def
appThm
922
ref
832
ref
subst
833
ref
872
ref
appThm
trans
931
def
trans
appThm
nil
794
ref
439
ref
nil
cons
932
def
cons
933
def
797
ref
403
ref
nil
cons
934
def
cons
935
def
nil
cons
936
def
cons
937
def
nil
cons
cons
825
ref
subst
eqMp
938
def
appThm
nil
158
ref
309
ref
879
ref
appTerm
939
def
nil
cons
cons
940
def
nil
cons
941
def
nil
cons
cons
942
def
846
ref
subst
943
def
trans
appThm
nil
794
ref
440
ref
nil
cons
944
def
cons
945
def
797
ref
401
ref
nil
cons
946
def
cons
947
def
nil
cons
948
def
cons
949
def
nil
cons
cons
825
ref
subst
eqMp
950
def
appThm
942
ref
832
ref
subst
833
ref
884
ref
appThm
trans
951
def
trans
appThm
nil
794
ref
441
ref
nil
cons
952
def
cons
953
def
797
ref
399
ref
nil
cons
954
def
cons
955
def
nil
cons
956
def
cons
957
def
nil
cons
cons
825
ref
subst
eqMp
958
def
appThm
nil
158
ref
310
ref
879
ref
appTerm
959
def
nil
cons
960
def
cons
961
def
nil
cons
962
def
nil
cons
cons
963
def
846
remove
subst
964
def
trans
appThm
nil
794
ref
442
ref
nil
cons
965
def
cons
966
def
797
ref
397
ref
nil
cons
967
def
cons
968
def
nil
cons
969
def
cons
970
def
nil
cons
cons
825
ref
subst
eqMp
971
def
appThm
963
ref
832
remove
subst
833
ref
891
ref
appThm
trans
972
def
trans
appThm
nil
794
ref
443
ref
nil
cons
973
def
cons
974
def
797
ref
395
ref
nil
cons
975
def
cons
976
def
nil
cons
977
def
cons
978
def
nil
cons
cons
825
ref
subst
eqMp
979
def
appThm
980
def
225
ref
refl
981
def
appThm
637
ref
309
ref
315
ref
appTerm
982
def
appTerm
refl
983
def
nil
162
ref
225
ref
appTerm
982
ref
appTerm
axiom
984
def
appThm
985
def
trans
nil
158
ref
982
ref
nil
cons
986
def
cons
987
def
nil
cons
988
def
nil
cons
cons
nil
74
ref
637
ref
163
ref
appTerm
989
def
163
ref
appTerm
990
def
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
158
ref
990
remove
absTerm
991
def
163
ref
appTerm
992
def
betaConv
nil
171
ref
991
ref
appTerm
993
def
axiom
nil
40
ref
993
remove
nil
cons
cons
41
ref
992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
991
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
994
def
subst
995
def
trans
996
def
appThm
644
ref
444
ref
appTerm
997
def
648
ref
650
ref
662
ref
appTerm
appTerm
appTerm
998
def
refl
appThm
654
ref
444
ref
appTerm
999
def
refl
appThm
nil
"t2"
24
ref
var
1000
def
999
ref
nil
cons
cons
"t1"
24
ref
var
1001
def
998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
109
ref
187
ref
cons
1002
def
"t2"
112
ref
var
1003
def
190
ref
633
ref
1
ref
3
ref
1
ref
112
ref
1
ref
112
ref
291
remove
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
1004
def
66
ref
appTerm
"t1"
112
ref
var
1005
def
varTerm
1006
def
appTerm
1003
ref
varTerm
1007
def
appTerm
appTerm
1006
ref
appTerm
absTerm
1008
def
1007
ref
appTerm
1009
def
betaConv
1005
ref
115
ref
1008
ref
appTerm
1010
def
absTerm
1011
def
1006
ref
appTerm
1012
def
betaConv
nil
115
ref
1011
ref
appTerm
1013
def
axiom
nil
40
ref
1013
remove
nil
cons
cons
41
ref
1012
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1011
remove
nil
cons
cons
120
ref
1006
ref
nil
cons
cons
nil
cons
1014
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1010
remove
nil
cons
cons
41
ref
1009
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1008
remove
nil
cons
cons
120
ref
1007
ref
nil
cons
cons
nil
cons
1015
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1016
def
subst
1017
def
subst
997
ref
refl
648
ref
refl
1018
def
649
ref
refl
1019
def
984
ref
appThm
1020
def
662
ref
refl
appThm
649
ref
982
ref
appTerm
1021
def
refl
1022
def
979
remove
appThm
trans
844
ref
nil
158
ref
309
ref
309
ref
698
ref
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
nil
158
ref
698
ref
nil
cons
1023
def
cons
nil
cons
nil
cons
cons
716
ref
subst
1024
def
subst
subst
nil
40
ref
162
ref
712
ref
982
ref
appTerm
appTerm
982
ref
appTerm
nil
cons
cons
41
ref
162
ref
1021
ref
982
ref
appTerm
appTerm
311
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
735
ref
693
remove
cons
1025
def
"p"
13
ref
var
1026
def
986
remove
cons
1027
def
988
remove
cons
cons
nil
cons
cons
nil
40
ref
162
ref
740
ref
appTerm
1028
def
1026
ref
varTerm
1029
def
appTerm
1030
def
nil
cons
1031
def
cons
41
ref
162
ref
649
ref
1029
ref
appTerm
163
ref
appTerm
appTerm
737
ref
appTerm
nil
cons
1032
def
cons
nil
cons
cons
nil
cons
cons
1033
def
61
ref
subst
1033
remove
125
ref
subst
44
ref
"_9320"
13
ref
var
1034
def
162
ref
649
ref
1034
remove
varTerm
appTerm
163
ref
appTerm
appTerm
737
ref
appTerm
absTerm
1035
def
1029
ref
appTerm
1036
def
appTerm
refl
1035
ref
740
ref
appTerm
betaConv
appThm
90
ref
1036
remove
betaConv
appThm
162
ref
649
ref
740
ref
appTerm
163
ref
appTerm
appTerm
737
ref
appTerm
1037
def
refl
appThm
trans
1035
remove
refl
1030
remove
assume
sym
1038
def
appThm
eqMp
sym
158
ref
1037
remove
absTerm
1039
def
163
ref
appTerm
1040
def
betaConv
735
ref
171
ref
1039
ref
appTerm
1041
def
absTerm
1042
def
737
ref
appTerm
1043
def
betaConv
nil
171
ref
1042
ref
appTerm
1044
def
axiom
nil
40
ref
1044
remove
nil
cons
cons
41
ref
1043
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1042
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1041
remove
nil
cons
cons
41
ref
1040
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1039
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
87
ref
1031
remove
cons
88
ref
1032
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1045
def
subst
eqMp
1046
def
trans
appThm
nil
203
ref
647
ref
nil
cons
1047
def
cons
nil
cons
1048
def
nil
cons
cons
491
ref
120
ref
9
ref
1
ref
680
ref
814
remove
nil
cons
cons
opType
constTerm
1049
def
646
remove
1
ref
112
ref
1
ref
13
ref
803
remove
cons
opType
nil
cons
cons
opType
constTerm
121
ref
appTerm
1050
def
311
ref
appTerm
appTerm
682
ref
appTerm
absTerm
1051
def
121
ref
appTerm
1052
def
betaConv
nil
115
ref
1051
ref
appTerm
1053
def
axiom
nil
40
ref
1053
remove
nil
cons
cons
41
ref
1052
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1051
remove
nil
cons
cons
120
ref
121
ref
nil
cons
cons
nil
cons
1054
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
1055
def
trans
appThm
nil
25
ref
795
ref
cons
1056
def
978
remove
cons
nil
cons
cons
491
ref
802
ref
1049
ref
643
remove
1
ref
680
ref
804
ref
cons
opType
constTerm
1057
def
810
ref
appTerm
"l"
680
ref
var
1058
def
varTerm
1059
def
appTerm
appTerm
808
ref
1057
ref
809
ref
appTerm
1059
ref
appTerm
appTerm
appTerm
absTerm
1060
def
809
ref
appTerm
1061
def
betaConv
806
ref
815
ref
1060
ref
appTerm
1062
def
absTerm
1063
def
807
ref
appTerm
1064
def
betaConv
1058
ref
115
ref
1063
ref
appTerm
1065
def
absTerm
1066
def
1059
ref
appTerm
1067
def
betaConv
nil
815
ref
1066
ref
appTerm
1068
def
axiom
nil
40
ref
1068
remove
nil
cons
cons
41
ref
1067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
1066
remove
nil
cons
cons
823
ref
1059
ref
nil
cons
cons
nil
cons
1069
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1065
remove
nil
cons
cons
41
ref
1064
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1063
remove
nil
cons
cons
820
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1062
remove
nil
cons
cons
41
ref
1061
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
1060
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1070
def
subst
396
ref
refl
1071
def
nil
1056
ref
970
remove
cons
nil
cons
cons
1070
ref
subst
398
ref
refl
1072
def
nil
1056
ref
957
remove
cons
nil
cons
cons
1070
ref
subst
400
ref
refl
1073
def
nil
1056
ref
949
remove
cons
nil
cons
cons
1070
ref
subst
402
ref
refl
1074
def
nil
1056
ref
937
remove
cons
nil
cons
cons
1070
ref
subst
404
ref
refl
1075
def
nil
1056
ref
929
remove
cons
nil
cons
cons
1070
ref
subst
406
ref
refl
1076
def
nil
1056
ref
917
remove
cons
nil
cons
cons
1070
ref
subst
408
ref
refl
1077
def
nil
1056
ref
909
remove
cons
nil
cons
cons
1070
ref
subst
410
ref
refl
1078
def
nil
1056
ref
896
ref
cons
nil
cons
cons
1070
ref
subst
412
ref
refl
1079
def
nil
1056
ref
889
ref
cons
nil
cons
cons
1070
ref
subst
414
ref
refl
1080
def
nil
1056
ref
877
ref
cons
nil
cons
cons
1070
ref
subst
416
ref
refl
1081
def
nil
1056
ref
870
ref
cons
nil
cons
cons
1070
ref
subst
418
ref
refl
1082
def
nil
1056
ref
859
ref
cons
nil
cons
cons
1070
ref
subst
420
ref
refl
1083
def
nil
1056
ref
852
ref
cons
nil
cons
cons
1070
ref
subst
422
ref
refl
1084
def
nil
1056
ref
839
ref
cons
nil
cons
cons
1070
ref
subst
424
ref
refl
1085
def
nil
1056
ref
801
ref
cons
nil
cons
cons
1070
ref
subst
426
ref
refl
1086
def
nil
1056
ref
nil
cons
nil
cons
cons
491
ref
1058
ref
1049
ref
1057
remove
682
ref
appTerm
1059
ref
appTerm
appTerm
1059
ref
appTerm
absTerm
1087
def
1059
ref
appTerm
1088
def
betaConv
nil
815
ref
1087
ref
appTerm
1089
def
axiom
nil
40
ref
1089
remove
nil
cons
cons
41
ref
1088
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
1087
remove
nil
cons
cons
1069
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1090
def
subst
1091
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
1092
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
1093
def
appThm
1094
def
appThm
632
remove
25
ref
142
ref
27
ref
221
remove
appTerm
appTerm
636
remove
641
ref
147
ref
appTerm
appTerm
645
remove
648
ref
649
ref
147
ref
appTerm
1095
def
640
remove
appTerm
appTerm
appTerm
appTerm
653
ref
147
ref
appTerm
1096
def
30
ref
appTerm
appTerm
appTerm
absTerm
1097
def
30
ref
appTerm
1098
def
betaConv
nil
38
ref
1097
ref
appTerm
1099
def
axiom
nil
40
ref
1099
remove
nil
cons
cons
41
ref
1098
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
109
ref
110
ref
1097
remove
nil
cons
cons
111
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1100
def
subst
660
ref
980
ref
147
ref
refl
1101
def
appThm
983
remove
nil
162
ref
147
remove
appTerm
315
ref
appTerm
axiom
1102
def
appThm
1103
def
trans
664
ref
nil
899
ref
735
ref
880
remove
cons
nil
cons
cons
nil
cons
cons
158
ref
162
ref
703
ref
310
ref
737
ref
appTerm
appTerm
1104
def
698
ref
appTerm
appTerm
310
ref
740
ref
appTerm
1105
def
appTerm
absTerm
1106
def
163
ref
appTerm
1107
def
betaConv
735
ref
171
ref
1106
ref
appTerm
1108
def
absTerm
1109
def
737
ref
appTerm
1110
def
betaConv
683
ref
684
ref
735
ref
684
ref
158
ref
710
ref
739
ref
refl
1111
def
163
ref
refl
1112
def
appThm
1113
def
appThm
1113
remove
appThm
absThm
appThm
absThm
appThm
appThm
683
ref
710
ref
717
remove
appThm
311
ref
refl
appThm
appThm
683
ref
684
ref
158
ref
710
ref
1024
ref
771
ref
trans
appThm
771
ref
appThm
absThm
appThm
appThm
683
ref
684
ref
158
ref
710
ref
nil
158
ref
697
ref
nil
cons
1114
def
cons
nil
cons
nil
cons
cons
716
remove
subst
1115
def
773
ref
trans
appThm
773
ref
appThm
nil
158
ref
705
ref
nil
cons
1116
def
cons
1117
def
735
ref
1116
ref
cons
nil
cons
cons
nil
cons
cons
158
ref
44
ref
162
ref
738
remove
appTerm
685
ref
appTerm
appTerm
162
ref
737
ref
appTerm
163
ref
appTerm
appTerm
absTerm
1118
def
163
ref
appTerm
1119
def
betaConv
735
ref
171
ref
1118
ref
appTerm
1120
def
absTerm
1121
def
737
ref
appTerm
1122
def
betaConv
nil
171
ref
1121
ref
appTerm
1123
def
axiom
nil
40
ref
1123
remove
nil
cons
cons
41
ref
1122
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1121
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1120
remove
nil
cons
cons
41
ref
1119
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1118
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1124
def
subst
1125
def
trans
absThm
appThm
appThm
683
ref
684
ref
158
ref
710
ref
nil
735
ref
1023
remove
cons
nil
cons
nil
cons
cons
735
ref
162
ref
739
ref
311
ref
appTerm
appTerm
737
ref
appTerm
absTerm
1126
def
737
ref
appTerm
1127
def
betaConv
nil
171
ref
1126
ref
appTerm
1128
def
axiom
nil
40
ref
1128
remove
nil
cons
cons
41
ref
1127
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1126
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1129
def
subst
1130
def
771
ref
trans
appThm
771
ref
appThm
absThm
appThm
appThm
683
ref
684
ref
158
ref
710
ref
nil
735
ref
1114
remove
cons
nil
cons
nil
cons
cons
1129
remove
subst
1131
def
773
ref
trans
appThm
773
ref
appThm
1125
remove
trans
absThm
appThm
appThm
683
ref
684
ref
735
ref
684
ref
158
ref
710
ref
703
ref
refl
1132
def
nil
158
ref
748
ref
cons
1133
def
nil
cons
1134
def
nil
cons
cons
1135
def
771
ref
subst
appThm
1136
def
771
ref
appThm
appThm
nil
158
ref
740
ref
nil
cons
1137
def
cons
1138
def
nil
cons
nil
cons
cons
1139
def
771
ref
subst
appThm
absThm
appThm
absThm
appThm
appThm
683
ref
684
ref
735
ref
684
ref
158
ref
710
ref
1136
remove
773
ref
appThm
nil
1117
remove
735
ref
739
ref
737
ref
appTerm
1140
def
nil
cons
cons
nil
cons
1141
def
cons
nil
cons
cons
1142
def
758
ref
subst
1143
def
trans
appThm
1139
remove
773
ref
subst
1144
def
appThm
nil
158
ref
703
ref
740
ref
appTerm
1145
def
740
ref
appTerm
1146
def
nil
cons
cons
735
ref
703
ref
1140
remove
appTerm
705
ref
appTerm
1147
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
1124
ref
subst
1148
def
trans
absThm
appThm
absThm
appThm
appThm
683
ref
684
ref
735
ref
684
ref
158
ref
710
ref
1132
ref
1135
remove
773
ref
subst
appThm
1149
def
771
ref
appThm
1142
remove
750
ref
subst
trans
appThm
1144
remove
appThm
1148
ref
trans
absThm
appThm
absThm
appThm
appThm
684
ref
735
ref
684
ref
158
ref
710
ref
1149
remove
773
remove
appThm
nil
158
ref
776
remove
cons
1141
remove
cons
nil
cons
cons
750
ref
subst
664
ref
1143
remove
appThm
trans
trans
appThm
nil
158
ref
741
ref
nil
cons
cons
1150
def
nil
cons
nil
cons
cons
771
remove
subst
nil
1150
remove
735
ref
1137
ref
cons
nil
cons
1151
def
cons
nil
cons
cons
750
remove
subst
trans
664
ref
nil
1138
remove
1151
remove
cons
nil
cons
cons
758
ref
subst
appThm
trans
appThm
nil
158
ref
663
ref
1146
ref
appTerm
nil
cons
cons
735
ref
663
ref
1147
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
1124
remove
subst
1148
remove
trans
trans
absThm
appThm
absThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
appThm
sym
683
ref
684
ref
735
ref
684
ref
158
ref
nil
178
ref
1137
ref
cons
nil
cons
nil
cons
cons
688
ref
subst
absThm
appThm
690
ref
trans
absThm
appThm
690
ref
trans
appThm
683
ref
718
remove
appThm
683
ref
684
ref
158
ref
nil
178
ref
1116
ref
cons
nil
cons
nil
cons
cons
688
ref
subst
absThm
appThm
690
ref
trans
appThm
1152
def
1152
ref
1152
ref
1152
remove
683
ref
684
ref
735
ref
684
ref
158
ref
710
ref
nil
1026
ref
1116
remove
cons
1134
remove
cons
nil
cons
cons
1026
ref
50
ref
1028
ref
704
ref
737
ref
appTerm
1153
def
appTerm
1154
def
appTerm
50
ref
162
ref
1145
remove
1029
ref
appTerm
1155
def
appTerm
739
ref
704
ref
1029
ref
appTerm
1156
def
appTerm
1157
def
appTerm
1158
def
appTerm
162
ref
1157
ref
appTerm
1159
def
704
ref
739
ref
1029
ref
appTerm
1160
def
appTerm
1161
def
appTerm
1162
def
appTerm
1163
def
appTerm
absTerm
1164
def
1029
ref
appTerm
1165
def
betaConv
158
ref
171
ref
1164
ref
appTerm
1166
def
absTerm
1167
def
163
ref
appTerm
1168
def
betaConv
735
ref
171
ref
1167
ref
appTerm
1169
def
absTerm
1170
def
737
ref
appTerm
1171
def
betaConv
nil
40
ref
171
ref
1170
ref
appTerm
1172
def
nil
cons
cons
1173
def
nil
cons
nil
cons
cons
44
ref
46
ref
appTerm
1174
def
refl
1175
def
nil
74
ref
"Data.Bool.~"
const
42
remove
constTerm
1176
def
46
ref
appTerm
1177
def
nil
cons
1178
def
cons
nil
cons
nil
cons
cons
74
ref
44
ref
45
ref
77
ref
appTerm
1179
def
647
ref
appTerm
appTerm
1176
ref
77
ref
appTerm
1180
def
appTerm
absTerm
1181
def
77
ref
appTerm
1182
def
betaConv
nil
198
ref
1181
ref
appTerm
1183
def
axiom
nil
40
ref
1183
remove
nil
cons
cons
41
ref
1182
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1181
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1184
def
subst
appThm
sym
1175
remove
76
ref
74
ref
44
ref
1176
ref
1180
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1185
def
77
ref
appTerm
1186
def
betaConv
nil
198
ref
1185
ref
appTerm
1187
def
axiom
nil
40
ref
1187
remove
nil
cons
cons
41
ref
1186
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1185
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1188
def
subst
appThm
nil
203
ref
75
ref
cons
nil
cons
1189
def
nil
cons
cons
491
ref
193
ref
subst
1190
def
subst
trans
sym
80
ref
eqMp
eqMp
1191
def
subst
sym
nil
40
ref
1176
ref
1172
remove
appTerm
nil
cons
1192
def
cons
1193
def
41
ref
1047
ref
cons
nil
cons
1194
def
cons
nil
cons
cons
1195
def
61
ref
subst
1195
remove
125
ref
subst
nil
171
ref
735
ref
171
ref
158
ref
171
ref
1026
ref
1159
ref
1155
ref
appTerm
1196
def
absTerm
appTerm
absTerm
appTerm
absTerm
1197
def
appTerm
1198
def
axiom
nil
40
ref
1198
ref
nil
cons
1199
def
cons
1200
def
1194
ref
cons
nil
cons
cons
1201
def
108
ref
subst
proveHyp
nil
171
ref
735
ref
171
ref
158
ref
1154
ref
absTerm
1202
def
appTerm
1203
def
absTerm
1204
def
appTerm
1205
def
axiom
1206
def
nil
40
ref
1205
ref
nil
cons
1207
def
cons
1208
def
41
ref
45
ref
1198
ref
appTerm
647
ref
appTerm
1209
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1193
remove
41
ref
45
ref
1205
ref
appTerm
1210
def
1209
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
763
ref
1176
ref
refl
1211
def
684
ref
735
ref
684
ref
158
ref
90
ref
684
ref
1026
ref
683
ref
1026
ref
1154
ref
absTerm
1212
def
1029
ref
appTerm
betaConv
1213
def
appThm
1026
ref
1163
ref
absTerm
1214
def
1029
ref
appTerm
betaConv
1215
def
appThm
absThm
appThm
appThm
683
ref
684
ref
1026
ref
1213
remove
absThm
appThm
appThm
684
ref
1026
ref
1215
remove
absThm
appThm
appThm
appThm
nil
764
ref
1212
remove
nil
cons
cons
"q"
159
remove
var
1216
def
1214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
687
ref
"q"
113
ref
var
1217
def
44
ref
115
ref
120
ref
50
ref
128
ref
121
ref
appTerm
1218
def
appTerm
1217
ref
varTerm
1219
def
121
ref
appTerm
1220
def
appTerm
absTerm
appTerm
appTerm
50
ref
115
ref
120
ref
1218
ref
absTerm
1221
def
appTerm
1222
def
appTerm
115
ref
120
ref
1220
ref
absTerm
1223
def
appTerm
appTerm
appTerm
absTerm
1224
def
1219
ref
appTerm
1225
def
betaConv
127
ref
0
ref
131
remove
constTerm
1226
def
1224
ref
appTerm
1227
def
absTerm
1228
def
128
ref
appTerm
1229
def
betaConv
nil
1226
ref
1228
ref
appTerm
1230
def
axiom
nil
40
ref
1230
remove
nil
cons
cons
41
ref
1229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
189
remove
cons
nil
cons
1231
def
"P"
114
ref
var
1232
def
1228
remove
nil
cons
cons
"x"
113
ref
var
1233
def
128
ref
nil
cons
cons
nil
cons
1234
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1227
remove
nil
cons
cons
41
ref
1225
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
ref
1232
ref
1224
remove
nil
cons
cons
1233
remove
1219
ref
nil
cons
cons
nil
cons
1235
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1236
def
subst
eqMp
683
ref
nil
74
ref
1154
ref
nil
cons
1237
def
cons
nil
cons
nil
cons
cons
689
remove
subst
appThm
90
ref
684
ref
1026
ref
683
ref
1026
ref
1158
ref
absTerm
1238
def
1029
ref
appTerm
betaConv
1239
def
appThm
1026
ref
1162
ref
absTerm
1240
def
1029
ref
appTerm
betaConv
1241
def
appThm
absThm
appThm
appThm
683
ref
684
ref
1026
ref
1239
ref
absThm
appThm
appThm
684
ref
1026
ref
1241
ref
absThm
appThm
appThm
appThm
nil
764
ref
1238
ref
nil
cons
1242
def
cons
1216
ref
1240
ref
nil
cons
1243
def
cons
nil
cons
cons
nil
cons
cons
1236
ref
subst
eqMp
appThm
trans
absThm
appThm
90
ref
684
ref
158
ref
683
ref
1202
ref
163
ref
appTerm
betaConv
1244
def
appThm
158
ref
50
ref
171
ref
1238
remove
appTerm
1245
def
appTerm
171
ref
1240
remove
appTerm
1246
def
appTerm
absTerm
1247
def
163
ref
appTerm
betaConv
1248
def
appThm
absThm
appThm
appThm
683
ref
684
ref
158
ref
1244
ref
absThm
appThm
appThm
684
ref
158
ref
1248
remove
absThm
appThm
appThm
appThm
nil
764
ref
1202
remove
nil
cons
1249
def
cons
1216
ref
1247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1236
ref
subst
eqMp
50
ref
1203
remove
appTerm
refl
90
ref
684
ref
158
ref
683
ref
158
ref
1245
remove
absTerm
1250
def
163
ref
appTerm
betaConv
1251
def
appThm
158
ref
1246
remove
absTerm
1252
def
163
ref
appTerm
betaConv
1253
def
appThm
absThm
appThm
appThm
683
ref
684
ref
158
ref
1251
ref
absThm
appThm
appThm
684
ref
158
ref
1253
ref
absThm
appThm
appThm
appThm
nil
764
ref
1250
ref
nil
cons
1254
def
cons
1216
ref
1252
ref
nil
cons
1255
def
cons
nil
cons
cons
nil
cons
cons
1236
ref
subst
eqMp
appThm
trans
trans
absThm
appThm
90
ref
684
ref
735
ref
683
ref
1204
ref
737
ref
appTerm
betaConv
1256
def
appThm
735
ref
50
ref
171
ref
1250
remove
appTerm
1257
def
appTerm
171
ref
1252
remove
appTerm
1258
def
appTerm
absTerm
1259
def
737
ref
appTerm
betaConv
1260
def
appThm
absThm
appThm
appThm
683
ref
684
ref
735
ref
1256
ref
absThm
appThm
appThm
684
ref
735
ref
1260
remove
absThm
appThm
appThm
appThm
nil
764
ref
1204
ref
nil
cons
1261
def
cons
1216
ref
1259
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1236
ref
subst
eqMp
50
ref
1205
remove
appTerm
1262
def
refl
90
ref
684
ref
735
ref
683
ref
735
ref
1257
remove
absTerm
1263
def
737
ref
appTerm
betaConv
1264
def
appThm
735
ref
1258
remove
absTerm
1265
def
737
ref
appTerm
betaConv
1266
def
appThm
absThm
appThm
appThm
683
ref
684
ref
735
ref
1264
ref
absThm
appThm
appThm
684
ref
735
ref
1266
ref
absThm
appThm
appThm
appThm
nil
764
ref
1263
ref
nil
cons
1267
def
cons
1216
ref
1265
ref
nil
cons
1268
def
cons
nil
cons
cons
nil
cons
cons
1236
remove
subst
eqMp
appThm
trans
trans
appThm
appThm
1210
ref
refl
1269
def
nil
74
ref
1199
ref
cons
nil
cons
nil
cons
cons
1184
ref
subst
1270
def
appThm
appThm
sym
nil
40
ref
1176
ref
1262
remove
50
ref
171
ref
1263
remove
appTerm
1271
def
appTerm
171
ref
1265
remove
appTerm
1272
def
appTerm
1273
def
appTerm
appTerm
1274
def
nil
cons
1275
def
cons
41
ref
1210
ref
1176
ref
1198
remove
appTerm
1276
def
appTerm
nil
cons
1277
def
cons
nil
cons
cons
nil
cons
cons
1278
def
61
ref
subst
1278
remove
125
ref
subst
nil
1208
ref
41
ref
1276
remove
nil
cons
1279
def
cons
nil
cons
cons
nil
cons
cons
1280
def
61
ref
subst
1280
remove
125
ref
subst
1270
remove
1201
ref
61
ref
subst
1201
remove
125
ref
subst
nil
1208
ref
41
ref
1273
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
nil
40
ref
1174
ref
647
ref
appTerm
1281
def
nil
cons
1282
def
cons
41
ref
44
ref
1176
ref
52
remove
appTerm
appTerm
"Data.Bool.\\/"
const
43
ref
constTerm
1283
def
1177
ref
appTerm
1176
ref
48
ref
appTerm
1284
def
appTerm
appTerm
nil
cons
1285
def
cons
nil
cons
1286
def
cons
nil
cons
cons
1287
def
61
ref
subst
1287
remove
125
ref
subst
44
ref
"_530"
3
ref
var
1288
def
44
ref
1176
ref
50
ref
1288
remove
varTerm
1289
def
appTerm
48
ref
appTerm
appTerm
appTerm
1283
ref
1176
ref
1289
remove
appTerm
appTerm
1284
ref
appTerm
appTerm
absTerm
1290
def
46
ref
appTerm
1291
def
appTerm
refl
1292
def
1290
ref
647
ref
appTerm
betaConv
appThm
90
ref
1291
remove
betaConv
appThm
1293
def
44
ref
1176
ref
50
ref
647
ref
appTerm
1294
def
48
ref
appTerm
appTerm
appTerm
1283
ref
1176
ref
647
ref
appTerm
1295
def
appTerm
1296
def
1284
ref
appTerm
appTerm
refl
appThm
trans
1290
remove
refl
1297
def
1281
remove
assume
appThm
eqMp
sym
90
ref
1211
ref
84
ref
74
ref
44
ref
1294
remove
77
ref
appTerm
appTerm
647
ref
appTerm
absTerm
1298
def
77
ref
appTerm
1299
def
betaConv
nil
198
ref
1298
ref
appTerm
1300
def
axiom
nil
40
ref
1300
remove
nil
cons
cons
41
ref
1299
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1298
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1301
def
subst
appThm
nil
44
ref
1295
ref
appTerm
66
ref
appTerm
axiom
1302
def
trans
appThm
1283
ref
refl
1303
def
1302
ref
appThm
1304
def
1284
ref
refl
1305
def
appThm
nil
74
ref
1284
ref
nil
cons
1306
def
cons
nil
cons
nil
cons
cons
1307
def
74
ref
44
ref
1283
ref
66
ref
appTerm
1308
def
77
ref
appTerm
appTerm
66
ref
appTerm
absTerm
1309
def
77
ref
appTerm
1310
def
betaConv
nil
198
ref
1309
ref
appTerm
1311
def
axiom
nil
40
ref
1311
remove
nil
cons
cons
41
ref
1310
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1309
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1312
def
subst
trans
appThm
194
remove
74
ref
44
ref
44
ref
66
ref
appTerm
1313
def
77
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1314
def
77
ref
appTerm
1315
def
betaConv
nil
198
ref
1314
ref
appTerm
1316
def
axiom
nil
40
ref
1316
remove
nil
cons
cons
41
ref
1315
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1314
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1317
def
subst
1318
def
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1282
ref
cons
88
ref
1285
ref
cons
nil
cons
1319
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
40
ref
1174
ref
66
ref
appTerm
1320
def
nil
cons
1321
def
cons
1286
remove
cons
nil
cons
cons
1322
def
61
ref
subst
1322
remove
125
ref
subst
1292
remove
"_528"
3
ref
var
1323
def
44
ref
1176
ref
50
ref
1323
remove
varTerm
1324
def
appTerm
48
ref
appTerm
appTerm
appTerm
1283
ref
1176
ref
1324
remove
appTerm
appTerm
1284
ref
appTerm
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
1293
remove
44
ref
1176
ref
777
ref
48
ref
appTerm
appTerm
appTerm
1283
ref
1176
ref
66
ref
appTerm
1325
def
appTerm
1326
def
1284
remove
appTerm
appTerm
refl
appThm
trans
1297
remove
1320
remove
assume
appThm
eqMp
sym
90
ref
1211
ref
84
remove
781
ref
subst
appThm
appThm
1303
ref
nil
44
ref
1325
ref
appTerm
647
ref
appTerm
axiom
1327
def
appThm
1328
def
1305
remove
appThm
1307
remove
74
ref
44
ref
1283
ref
647
ref
appTerm
1329
def
77
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1330
def
77
ref
appTerm
1331
def
betaConv
nil
198
ref
1330
ref
appTerm
1332
def
axiom
nil
40
ref
1332
remove
nil
cons
cons
41
ref
1331
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1330
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1333
def
subst
trans
appThm
nil
203
ref
1306
remove
cons
nil
cons
nil
cons
cons
1190
ref
subst
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1321
remove
cons
1334
def
1319
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
74
ref
1283
ref
79
ref
appTerm
78
remove
647
ref
appTerm
1335
def
appTerm
absTerm
1336
def
46
ref
appTerm
1337
def
betaConv
nil
198
ref
1336
ref
appTerm
1338
def
axiom
1339
def
nil
40
ref
1338
remove
nil
cons
cons
1340
def
41
ref
1337
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1336
ref
nil
cons
cons
1341
def
1189
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
1334
remove
88
ref
1282
remove
cons
"R"
3
ref
var
1342
def
1285
remove
cons
nil
cons
cons
cons
nil
cons
cons
nil
40
ref
45
ref
93
ref
appTerm
1343
def
1342
ref
varTerm
1344
def
appTerm
1345
def
nil
cons
cons
41
ref
1344
ref
nil
cons
1346
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
40
ref
45
ref
91
ref
appTerm
1347
def
1344
ref
appTerm
nil
cons
cons
41
ref
45
ref
1345
remove
appTerm
1344
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
"r"
3
ref
var
1348
def
45
ref
1347
ref
1348
ref
varTerm
1349
def
appTerm
appTerm
1350
def
45
ref
1343
remove
1349
ref
appTerm
appTerm
1349
ref
appTerm
appTerm
absTerm
1351
def
1344
remove
appTerm
1352
def
betaConv
44
ref
1283
ref
91
ref
appTerm
1353
def
93
ref
appTerm
1354
def
appTerm
refl
41
ref
198
ref
1348
ref
1350
remove
45
ref
45
ref
48
ref
appTerm
1355
def
1349
ref
appTerm
appTerm
1349
ref
appTerm
1356
def
appTerm
absTerm
appTerm
absTerm
93
ref
appTerm
betaConv
appThm
70
ref
1353
remove
appTerm
refl
40
ref
41
ref
198
ref
1348
ref
45
ref
47
ref
1349
ref
appTerm
appTerm
1356
remove
appTerm
absTerm
appTerm
absTerm
absTerm
1357
def
91
ref
appTerm
betaConv
appThm
nil
58
remove
1283
ref
appTerm
1357
remove
appTerm
axiom
100
ref
appThm
eqMp
96
remove
appThm
eqMp
1354
remove
assume
eqMp
nil
40
ref
198
ref
1351
ref
appTerm
nil
cons
cons
41
ref
1352
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1351
remove
nil
cons
cons
203
ref
1346
remove
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
eqMp
1358
def
subst
proveHyp
proveHyp
proveHyp
1359
def
subst
1303
ref
nil
177
ref
1261
remove
cons
1360
def
nil
cons
nil
cons
cons
687
ref
90
ref
1211
ref
115
ref
refl
nil
"t"
113
remove
var
117
ref
nil
cons
1361
def
cons
nil
cons
nil
cons
cons
352
remove
"B"
4
ref
cons
1362
def
nil
cons
cons
187
ref
cons
"t"
1
ref
284
remove
opType
1363
def
var
1364
def
9
ref
1
ref
1363
ref
1
ref
1363
ref
4
ref
cons
opType
1365
def
nil
cons
cons
opType
constTerm
1366
def
1364
ref
varTerm
1367
def
appTerm
120
ref
1367
ref
121
ref
appTerm
absTerm
1368
def
appTerm
1369
def
absTerm
1370
def
1367
ref
appTerm
1371
def
betaConv
0
ref
1
ref
1365
ref
4
ref
cons
opType
constTerm
1372
def
refl
1364
ref
1369
remove
assume
sym
1366
remove
1368
remove
appTerm
1367
ref
appTerm
1373
def
assume
sym
deductAntisym
absThm
appThm
nil
1372
ref
1364
remove
1373
remove
absTerm
appTerm
axiom
eqMp
nil
40
ref
1372
remove
1370
ref
appTerm
nil
cons
cons
41
ref
1371
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
1363
ref
nil
cons
cons
nil
cons
"P"
1365
remove
var
1370
remove
nil
cons
cons
"x"
1363
remove
var
1367
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
1374
def
appThm
appThm
appThm
239
ref
114
remove
constTerm
1375
def
120
ref
1176
ref
122
ref
appTerm
absTerm
1376
def
appTerm
refl
appThm
sym
nil
127
ref
1361
remove
cons
nil
cons
nil
cons
cons
1377
def
127
ref
44
ref
1176
ref
1222
remove
appTerm
appTerm
1375
ref
120
ref
1176
ref
1218
ref
appTerm
absTerm
1378
def
appTerm
appTerm
absTerm
1379
def
128
ref
appTerm
1380
def
betaConv
nil
1226
ref
1379
ref
appTerm
1381
def
axiom
nil
40
ref
1381
remove
nil
cons
cons
41
ref
1380
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
ref
1232
ref
1379
remove
nil
cons
cons
1234
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
eqMp
subst
1382
def
subst
239
remove
170
remove
constTerm
1383
def
refl
1384
def
735
ref
1211
ref
1256
remove
appThm
nil
177
ref
1249
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
158
ref
1211
ref
1244
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
40
ref
1271
remove
nil
cons
cons
41
ref
1272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1359
remove
subst
1303
ref
nil
177
ref
1267
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
735
ref
1211
ref
1264
remove
appThm
nil
177
ref
1254
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
158
ref
1211
ref
1251
remove
appThm
nil
177
ref
1242
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
1026
ref
1211
ref
1239
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
nil
177
ref
1268
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
735
ref
1211
ref
1266
remove
appThm
nil
177
ref
1255
remove
cons
nil
cons
nil
cons
cons
1382
ref
subst
1384
ref
158
ref
1211
ref
1253
remove
appThm
nil
177
ref
1243
remove
cons
nil
cons
nil
cons
cons
1382
remove
subst
1384
ref
1026
ref
1211
ref
1241
remove
appThm
absThm
appThm
trans
trans
absThm
appThm
trans
trans
absThm
appThm
trans
appThm
trans
appThm
trans
1283
ref
1383
ref
735
ref
1383
ref
158
ref
1176
ref
1154
remove
appTerm
1385
def
absTerm
1386
def
appTerm
absTerm
1387
def
appTerm
appTerm
refl
90
ref
1303
ref
1384
ref
735
ref
735
ref
1383
ref
158
ref
1383
ref
1026
ref
1176
ref
1158
ref
appTerm
1388
def
absTerm
1389
def
appTerm
absTerm
1390
def
appTerm
absTerm
1391
def
737
ref
appTerm
betaConv
1392
def
absThm
appThm
appThm
1384
ref
735
ref
735
ref
1383
ref
158
ref
1383
ref
1026
ref
1176
ref
1162
ref
appTerm
1393
def
absTerm
1394
def
appTerm
absTerm
1395
def
appTerm
absTerm
1396
def
737
ref
appTerm
betaConv
1397
def
absThm
appThm
appThm
appThm
1384
ref
735
ref
1303
ref
1392
remove
appThm
1397
remove
appThm
absThm
appThm
appThm
nil
764
ref
1391
remove
nil
cons
cons
1216
ref
1396
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
687
ref
1217
ref
44
ref
1283
ref
1375
ref
1221
remove
appTerm
1398
def
appTerm
1375
ref
1223
remove
appTerm
1399
def
appTerm
appTerm
1375
ref
120
ref
1283
ref
1218
ref
appTerm
1220
ref
appTerm
absTerm
appTerm
appTerm
absTerm
1400
def
1219
ref
appTerm
1401
def
betaConv
127
ref
1226
ref
1400
ref
appTerm
1402
def
absTerm
1403
def
128
ref
appTerm
1404
def
betaConv
nil
1226
ref
1403
ref
appTerm
1405
def
axiom
nil
40
ref
1405
remove
nil
cons
cons
41
ref
1404
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
ref
1232
ref
1403
remove
nil
cons
cons
1234
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1402
remove
nil
cons
cons
41
ref
1401
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
ref
1232
ref
1400
remove
nil
cons
cons
1235
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1406
def
subst
eqMp
1384
ref
735
ref
90
ref
1303
ref
1384
ref
158
ref
1390
ref
163
ref
appTerm
betaConv
1407
def
absThm
appThm
appThm
1384
ref
158
ref
1395
ref
163
ref
appTerm
betaConv
1408
def
absThm
appThm
appThm
appThm
1384
ref
158
ref
1303
ref
1407
remove
appThm
1408
remove
appThm
absThm
appThm
appThm
nil
764
ref
1390
remove
nil
cons
cons
1216
ref
1395
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1406
ref
subst
eqMp
1384
ref
158
ref
90
ref
1303
ref
1384
ref
1026
ref
1389
ref
1029
ref
appTerm
betaConv
1409
def
absThm
appThm
appThm
1384
ref
1026
ref
1394
ref
1029
ref
appTerm
betaConv
1410
def
absThm
appThm
appThm
appThm
1384
ref
1026
ref
1303
ref
1409
remove
appThm
1410
remove
appThm
absThm
appThm
appThm
nil
764
ref
1389
remove
nil
cons
cons
1216
ref
1394
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1406
ref
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
appThm
90
ref
1303
ref
1384
ref
735
ref
1387
ref
737
ref
appTerm
betaConv
1411
def
absThm
appThm
appThm
1384
ref
735
ref
735
ref
1383
ref
158
ref
1383
ref
1026
ref
1283
ref
1388
ref
appTerm
1393
ref
appTerm
1412
def
absTerm
1413
def
appTerm
absTerm
1414
def
appTerm
absTerm
1415
def
737
ref
appTerm
betaConv
1416
def
absThm
appThm
appThm
appThm
1384
ref
735
ref
1303
ref
1411
remove
appThm
1416
remove
appThm
absThm
appThm
appThm
nil
764
ref
1387
remove
nil
cons
cons
1216
ref
1415
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1406
ref
subst
eqMp
1384
ref
735
ref
90
ref
1303
ref
1384
ref
158
ref
1386
ref
163
ref
appTerm
betaConv
1417
def
absThm
appThm
appThm
1384
ref
158
ref
1414
ref
163
ref
appTerm
betaConv
1418
def
absThm
appThm
appThm
appThm
1384
ref
158
ref
1303
ref
1417
remove
appThm
1418
remove
appThm
absThm
appThm
appThm
nil
764
remove
1386
remove
nil
cons
cons
1216
ref
1414
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1406
remove
subst
eqMp
1384
ref
158
ref
90
ref
1283
ref
1385
ref
appTerm
1419
def
refl
1420
def
1384
ref
1026
ref
1413
ref
1029
ref
appTerm
betaConv
1421
def
absThm
appThm
appThm
appThm
1384
ref
1026
ref
1420
remove
1421
remove
appThm
absThm
appThm
appThm
nil
1216
remove
1413
remove
nil
cons
cons
40
ref
1385
ref
nil
cons
1422
def
cons
1423
def
nil
cons
cons
nil
cons
cons
687
ref
1217
remove
44
ref
1283
ref
46
ref
appTerm
1424
def
1399
remove
appTerm
appTerm
1375
ref
120
ref
1424
remove
1220
remove
appTerm
absTerm
appTerm
appTerm
absTerm
1425
def
1219
remove
appTerm
1426
def
betaConv
40
ref
1226
ref
1425
ref
appTerm
1427
def
absTerm
1428
def
46
ref
appTerm
1429
def
betaConv
nil
198
ref
1428
ref
appTerm
1430
def
axiom
nil
40
ref
1430
remove
nil
cons
cons
41
ref
1429
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1428
remove
nil
cons
cons
1189
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1427
remove
nil
cons
cons
41
ref
1426
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
ref
1232
ref
1425
remove
nil
cons
cons
1235
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
eqMp
absThm
appThm
trans
absThm
appThm
trans
trans
trans
1274
remove
assume
eqMp
nil
40
ref
1383
ref
735
ref
1383
ref
158
ref
1383
ref
1026
ref
1419
remove
1412
ref
appTerm
1431
def
absTerm
1432
def
appTerm
1433
def
absTerm
1434
def
appTerm
1435
def
absTerm
1436
def
appTerm
1437
def
nil
cons
cons
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
177
ref
735
ref
45
ref
1436
ref
737
ref
appTerm
1438
def
appTerm
647
ref
appTerm
1439
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
727
ref
subst
735
ref
nil
74
ref
1439
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
1438
ref
nil
cons
1440
def
cons
1194
ref
cons
nil
cons
cons
1441
def
61
ref
subst
1441
remove
125
ref
subst
1438
ref
betaConv
1438
remove
assume
eqMp
nil
40
ref
1435
ref
nil
cons
cons
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
177
ref
158
ref
45
ref
1434
ref
163
ref
appTerm
1442
def
appTerm
647
ref
appTerm
1443
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
727
ref
subst
158
ref
nil
74
ref
1443
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
1442
ref
nil
cons
1444
def
cons
1194
ref
cons
nil
cons
cons
1445
def
61
ref
subst
1445
remove
125
ref
subst
1442
ref
betaConv
1442
remove
assume
eqMp
nil
40
ref
1433
ref
nil
cons
cons
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
177
ref
1026
ref
45
ref
1432
ref
1029
ref
appTerm
1446
def
appTerm
647
ref
appTerm
1447
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
727
ref
subst
1026
ref
nil
74
ref
1447
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
1446
ref
nil
cons
1448
def
cons
1194
ref
cons
nil
cons
cons
1449
def
61
ref
subst
1449
remove
125
ref
subst
1446
ref
betaConv
1446
remove
assume
eqMp
nil
40
ref
1431
remove
nil
cons
1450
def
cons
1194
ref
cons
nil
cons
cons
1451
def
108
ref
subst
proveHyp
1451
ref
61
ref
subst
1451
remove
125
ref
subst
nil
40
ref
1412
remove
nil
cons
1452
def
cons
1194
ref
cons
nil
cons
cons
1453
def
61
ref
subst
1453
remove
125
ref
subst
nil
40
ref
1393
ref
nil
cons
1454
def
cons
1194
ref
cons
nil
cons
cons
1455
def
61
ref
subst
1455
remove
125
ref
subst
nil
"_2194"
13
ref
var
1456
def
748
ref
cons
1457
def
"_2193"
13
ref
var
1458
def
1156
ref
nil
cons
cons
nil
cons
cons
nil
cons
cons
158
ref
162
ref
703
ref
1458
ref
varTerm
1459
def
appTerm
163
ref
appTerm
appTerm
704
ref
1459
ref
appTerm
appTerm
absTerm
1460
def
1456
remove
varTerm
1461
def
appTerm
1462
def
betaConv
1204
ref
1459
ref
appTerm
1463
def
betaConv
nil
1208
ref
41
ref
1463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
1360
ref
178
ref
1459
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1460
ref
appTerm
nil
cons
cons
41
ref
1462
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1460
remove
nil
cons
cons
178
ref
1461
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1464
def
subst
nil
40
ref
162
ref
703
ref
1156
ref
appTerm
737
ref
appTerm
1465
def
appTerm
1466
def
1157
ref
appTerm
1467
def
nil
cons
cons
41
ref
1466
remove
1161
ref
appTerm
1468
def
nil
cons
cons
nil
cons
1469
def
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
"_2197"
13
ref
var
1470
def
748
ref
cons
"_2196"
13
ref
var
1471
def
1029
ref
nil
cons
1472
def
cons
"_2195"
13
ref
var
1473
def
179
ref
cons
nil
cons
cons
cons
nil
cons
cons
1026
ref
162
ref
703
ref
1473
remove
varTerm
1474
def
appTerm
1475
def
703
ref
1471
remove
varTerm
1476
def
appTerm
1029
ref
appTerm
appTerm
appTerm
703
ref
1475
ref
1476
ref
appTerm
appTerm
1029
ref
appTerm
appTerm
absTerm
1477
def
1470
remove
varTerm
1478
def
appTerm
1479
def
betaConv
158
ref
171
ref
1026
ref
162
ref
1475
ref
1156
ref
appTerm
appTerm
703
ref
1475
remove
163
ref
appTerm
appTerm
1029
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1480
def
1476
ref
appTerm
1481
def
betaConv
1197
ref
1474
ref
appTerm
1482
def
betaConv
nil
1200
ref
41
ref
1482
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
177
ref
1197
ref
nil
cons
cons
1483
def
178
ref
1474
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1480
ref
appTerm
nil
cons
cons
41
ref
1481
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1480
remove
nil
cons
cons
178
ref
1476
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1477
ref
appTerm
nil
cons
cons
41
ref
1479
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1477
remove
nil
cons
cons
178
ref
1478
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
40
ref
162
ref
704
ref
703
ref
1029
ref
appTerm
1484
def
737
ref
appTerm
1485
def
appTerm
1486
def
appTerm
1487
def
1465
ref
appTerm
1488
def
nil
cons
cons
41
ref
1487
remove
1161
ref
appTerm
1489
def
nil
cons
cons
nil
cons
1490
def
cons
nil
cons
cons
125
ref
subst
proveHyp
1112
ref
nil
40
ref
162
ref
163
ref
appTerm
1491
def
163
ref
appTerm
1492
def
nil
cons
cons
1493
def
41
ref
162
ref
1485
ref
appTerm
1160
ref
appTerm
1494
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
1457
remove
1458
remove
1472
ref
cons
nil
cons
cons
nil
cons
cons
1464
remove
subst
eqMp
nil
40
ref
50
ref
1492
remove
appTerm
1495
def
1494
remove
appTerm
nil
cons
cons
1490
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_2209"
13
ref
var
1496
def
1160
ref
nil
cons
1497
def
cons
"_2207"
13
ref
var
1498
def
1485
ref
nil
cons
1499
def
cons
"_2208"
13
ref
var
1500
def
179
ref
cons
"_2206"
13
ref
var
1501
def
179
ref
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
"b"
3
ref
var
1502
def
1283
ref
1176
ref
162
ref
1501
remove
varTerm
1503
def
appTerm
1500
remove
varTerm
1504
def
appTerm
1505
def
appTerm
1506
def
appTerm
1507
def
1176
ref
162
ref
1498
remove
varTerm
1508
def
appTerm
1496
remove
varTerm
1509
def
appTerm
1510
def
appTerm
1511
def
appTerm
nil
cons
cons
"a"
3
ref
var
1512
def
162
ref
703
ref
1503
remove
appTerm
1508
remove
appTerm
appTerm
703
ref
1504
remove
appTerm
1509
remove
appTerm
appTerm
1513
def
nil
cons
1514
def
cons
nil
cons
cons
nil
cons
cons
nil
40
ref
44
ref
1512
ref
varTerm
1515
def
appTerm
1516
def
647
ref
appTerm
1517
def
nil
cons
1518
def
cons
1519
def
41
ref
44
ref
1283
ref
1515
ref
appTerm
1502
ref
varTerm
1520
def
appTerm
1521
def
appTerm
45
ref
1176
ref
1520
ref
appTerm
1522
def
appTerm
1523
def
1515
ref
appTerm
appTerm
nil
cons
1524
def
cons
nil
cons
1525
def
cons
nil
cons
cons
1526
def
61
ref
subst
1526
remove
125
ref
subst
44
ref
"_606"
3
ref
var
1527
def
44
ref
1283
ref
1527
remove
varTerm
1528
def
appTerm
1520
ref
appTerm
appTerm
1523
ref
1528
remove
appTerm
appTerm
absTerm
1529
def
1515
ref
appTerm
1530
def
appTerm
refl
1531
def
1529
ref
647
ref
appTerm
betaConv
appThm
90
ref
1530
remove
betaConv
appThm
1532
def
44
ref
1329
ref
1520
ref
appTerm
1533
def
appTerm
1523
ref
647
ref
appTerm
appTerm
refl
appThm
trans
1529
remove
refl
1534
def
1517
remove
assume
1535
def
appThm
eqMp
sym
90
ref
nil
74
ref
1520
ref
nil
cons
1536
def
cons
nil
cons
nil
cons
cons
1537
def
1333
ref
subst
1538
def
appThm
nil
74
ref
1522
ref
nil
cons
1539
def
cons
nil
cons
nil
cons
cons
1540
def
1184
ref
subst
1537
ref
1188
ref
subst
trans
appThm
nil
203
ref
1536
remove
cons
nil
cons
nil
cons
cons
1190
ref
subst
1541
def
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1518
ref
cons
1542
def
88
ref
1524
ref
cons
nil
cons
1543
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
40
ref
1516
ref
66
ref
appTerm
1544
def
nil
cons
1545
def
cons
1546
def
1525
remove
cons
nil
cons
cons
1547
def
61
ref
subst
1547
remove
125
ref
subst
1531
remove
"_604"
3
ref
var
1548
def
44
ref
1283
ref
1548
remove
varTerm
1549
def
appTerm
1520
ref
appTerm
appTerm
1523
ref
1549
remove
appTerm
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
1532
remove
44
ref
1308
remove
1520
ref
appTerm
1550
def
appTerm
1523
remove
66
ref
appTerm
appTerm
refl
appThm
trans
1534
remove
1544
remove
assume
1551
def
appThm
eqMp
sym
90
ref
1537
ref
1312
ref
subst
1552
def
appThm
1540
ref
74
ref
44
ref
1179
ref
66
ref
appTerm
appTerm
66
ref
appTerm
absTerm
1553
def
77
ref
appTerm
1554
def
betaConv
nil
198
ref
1553
ref
appTerm
1555
def
axiom
nil
40
ref
1555
remove
nil
cons
cons
41
ref
1554
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1553
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1556
def
appThm
1318
ref
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1545
remove
cons
1557
def
1543
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1336
ref
1515
ref
appTerm
1558
def
betaConv
1339
ref
nil
1340
ref
41
ref
1558
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
1341
ref
203
ref
1515
ref
nil
cons
1559
def
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1560
def
nil
1557
ref
88
ref
1518
remove
cons
1561
def
1342
ref
1524
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
proveHyp
1562
def
subst
763
ref
nil
1502
ref
1511
ref
nil
cons
1563
def
cons
1512
ref
1506
remove
nil
cons
1564
def
cons
nil
cons
cons
nil
cons
cons
nil
1519
ref
41
ref
44
ref
1176
ref
1521
remove
appTerm
appTerm
50
ref
1176
ref
1515
ref
appTerm
1565
def
appTerm
1522
ref
appTerm
appTerm
nil
cons
1566
def
cons
nil
cons
1567
def
cons
nil
cons
cons
1568
def
61
ref
subst
1568
remove
125
ref
subst
44
ref
"_610"
3
ref
var
1569
def
44
ref
1176
ref
1283
ref
1569
remove
varTerm
1570
def
appTerm
1520
ref
appTerm
appTerm
appTerm
50
ref
1176
ref
1570
remove
appTerm
appTerm
1522
ref
appTerm
appTerm
absTerm
1571
def
1515
ref
appTerm
1572
def
appTerm
refl
1573
def
1571
ref
647
ref
appTerm
betaConv
appThm
90
ref
1572
remove
betaConv
appThm
1574
def
44
ref
1176
ref
1533
remove
appTerm
appTerm
50
ref
1295
ref
appTerm
1522
ref
appTerm
appTerm
refl
appThm
trans
1571
remove
refl
1575
def
1535
ref
appThm
eqMp
sym
90
ref
1211
ref
1538
ref
appThm
appThm
683
ref
1302
ref
appThm
1522
ref
refl
1576
def
appThm
1540
ref
781
remove
subst
trans
appThm
nil
203
ref
1539
remove
cons
nil
cons
nil
cons
cons
1190
ref
subst
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1542
ref
88
ref
1566
ref
cons
nil
cons
1577
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1546
ref
1567
remove
cons
nil
cons
cons
1578
def
61
ref
subst
1578
remove
125
ref
subst
1573
remove
"_608"
3
ref
var
1579
def
44
ref
1176
ref
1283
ref
1579
remove
varTerm
1580
def
appTerm
1520
ref
appTerm
appTerm
appTerm
50
ref
1176
ref
1580
remove
appTerm
appTerm
1522
ref
appTerm
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
1574
remove
44
ref
1176
ref
1550
remove
appTerm
appTerm
50
ref
1325
ref
appTerm
1522
remove
appTerm
appTerm
refl
appThm
trans
1575
remove
1551
ref
appThm
eqMp
sym
90
ref
1211
ref
1552
ref
appThm
1327
ref
trans
appThm
683
ref
1327
ref
appThm
1576
remove
appThm
1540
remove
1301
remove
subst
trans
appThm
nil
74
ref
1047
ref
cons
nil
cons
nil
cons
cons
74
ref
44
ref
44
ref
647
ref
appTerm
1581
def
77
ref
appTerm
appTerm
1180
ref
appTerm
absTerm
1582
def
77
ref
appTerm
1583
def
betaConv
nil
198
ref
1582
ref
appTerm
1584
def
axiom
nil
40
ref
1584
remove
nil
cons
cons
41
ref
1583
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1582
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1585
def
subst
1302
ref
trans
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1557
ref
1577
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1560
ref
nil
1557
ref
1561
ref
1342
ref
1566
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
proveHyp
1586
def
subst
683
ref
nil
1512
ref
1505
ref
nil
cons
1587
def
cons
nil
cons
1588
def
nil
cons
cons
nil
74
ref
1559
remove
cons
nil
cons
nil
cons
cons
1188
remove
subst
1589
def
subst
appThm
nil
1512
ref
1510
ref
nil
cons
1590
def
cons
nil
cons
1591
def
nil
cons
cons
1589
ref
subst
appThm
trans
appThm
1513
ref
refl
appThm
trans
1507
remove
refl
nil
41
ref
1514
ref
cons
1592
def
40
ref
1563
ref
cons
nil
cons
cons
nil
cons
cons
nil
"t2"
3
ref
var
1593
def
83
ref
cons
"t1"
3
ref
var
1594
def
75
ref
cons
nil
cons
cons
1595
def
nil
cons
cons
1593
ref
44
ref
1283
ref
1594
ref
varTerm
1596
def
appTerm
1597
def
1593
ref
varTerm
1598
def
appTerm
1599
def
appTerm
1283
ref
1598
ref
appTerm
1600
def
1596
ref
appTerm
appTerm
absTerm
1601
def
1598
ref
appTerm
1602
def
betaConv
1594
ref
198
ref
1601
ref
appTerm
1603
def
absTerm
1604
def
1596
ref
appTerm
1605
def
betaConv
nil
198
ref
1604
ref
appTerm
1606
def
axiom
nil
40
ref
1606
remove
nil
cons
cons
41
ref
1605
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1604
remove
nil
cons
cons
203
ref
1596
ref
nil
cons
cons
nil
cons
1607
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1603
remove
nil
cons
cons
41
ref
1602
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1601
remove
nil
cons
cons
203
ref
1598
ref
nil
cons
cons
nil
cons
1608
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1609
def
subst
appThm
nil
1348
ref
1563
remove
cons
1592
ref
40
ref
1564
remove
cons
nil
cons
cons
cons
nil
cons
cons
90
ref
nil
"t3"
3
ref
var
1610
def
1349
ref
nil
cons
cons
1611
def
1595
remove
cons
nil
cons
cons
1610
ref
44
ref
1597
remove
1600
remove
1610
ref
varTerm
1612
def
appTerm
appTerm
1613
def
appTerm
1283
ref
1599
remove
appTerm
1612
ref
appTerm
1614
def
appTerm
1615
def
absTerm
1616
def
1612
ref
appTerm
1617
def
betaConv
1593
ref
198
ref
1616
ref
appTerm
1618
def
absTerm
1619
def
1598
remove
appTerm
1620
def
betaConv
1594
ref
198
ref
1619
ref
appTerm
1621
def
absTerm
1622
def
1596
remove
appTerm
1623
def
betaConv
198
ref
refl
1624
def
1594
ref
1624
ref
1593
ref
1624
remove
1610
ref
1615
remove
assume
sym
44
ref
1614
remove
appTerm
1613
remove
appTerm
1625
def
assume
sym
deductAntisym
absThm
appThm
absThm
appThm
absThm
appThm
nil
198
ref
1594
ref
198
ref
1593
ref
198
ref
1610
remove
1625
remove
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
axiom
eqMp
nil
40
ref
198
ref
1622
ref
appTerm
nil
cons
cons
41
ref
1623
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1622
remove
nil
cons
cons
1607
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1621
remove
nil
cons
cons
41
ref
1620
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1619
remove
nil
cons
cons
1608
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1618
remove
nil
cons
cons
41
ref
1617
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1616
remove
nil
cons
cons
203
ref
1612
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1626
def
subst
appThm
nil
1611
remove
1593
remove
75
ref
cons
1594
remove
83
ref
cons
nil
cons
cons
cons
nil
cons
cons
1626
remove
subst
appThm
sym
1303
ref
1609
ref
appThm
1349
remove
refl
appThm
eqMp
1627
def
subst
trans
nil
1502
ref
1283
ref
1511
remove
appTerm
1513
remove
appTerm
nil
cons
1628
def
cons
1588
remove
cons
nil
cons
cons
nil
1519
ref
41
ref
44
ref
45
ref
1515
ref
appTerm
1520
ref
appTerm
appTerm
1283
ref
1565
ref
appTerm
1520
ref
appTerm
appTerm
nil
cons
1629
def
cons
nil
cons
1630
def
cons
nil
cons
cons
1631
def
61
ref
subst
1631
remove
125
ref
subst
44
ref
"_630"
3
ref
var
1632
def
44
ref
45
ref
1632
remove
varTerm
1633
def
appTerm
1520
ref
appTerm
appTerm
1283
ref
1176
ref
1633
remove
appTerm
appTerm
1520
ref
appTerm
appTerm
absTerm
1634
def
1515
ref
appTerm
1635
def
appTerm
refl
1636
def
1634
ref
647
ref
appTerm
betaConv
appThm
90
ref
1635
remove
betaConv
appThm
1637
def
44
ref
45
ref
647
ref
appTerm
1638
def
1520
ref
appTerm
appTerm
1296
ref
1520
ref
appTerm
appTerm
refl
appThm
trans
1634
remove
refl
1639
def
1535
ref
appThm
eqMp
sym
90
ref
1537
ref
74
ref
44
ref
1638
ref
77
ref
appTerm
appTerm
66
ref
appTerm
absTerm
1640
def
77
ref
appTerm
1641
def
betaConv
nil
198
ref
1640
ref
appTerm
1642
def
axiom
nil
40
ref
1642
remove
nil
cons
cons
41
ref
1641
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1640
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
appThm
1304
remove
1520
ref
refl
1643
def
appThm
1552
remove
trans
appThm
1318
remove
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1542
ref
88
ref
1629
ref
cons
nil
cons
1644
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1546
ref
1630
remove
cons
nil
cons
cons
1645
def
61
ref
subst
1645
remove
125
ref
subst
1636
remove
"_628"
3
ref
var
1646
def
44
ref
45
ref
1646
remove
varTerm
1647
def
appTerm
1520
ref
appTerm
appTerm
1283
ref
1176
ref
1647
remove
appTerm
appTerm
1520
ref
appTerm
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
1637
remove
44
ref
45
ref
66
ref
appTerm
1648
def
1520
ref
appTerm
appTerm
1326
ref
1520
ref
appTerm
appTerm
refl
appThm
trans
1639
remove
1551
ref
appThm
eqMp
sym
90
ref
1537
ref
74
ref
44
ref
1648
remove
77
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1649
def
77
ref
appTerm
1650
def
betaConv
nil
198
ref
1649
ref
appTerm
1651
def
axiom
nil
40
ref
1651
remove
nil
cons
cons
41
ref
1650
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1649
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
appThm
1328
remove
1643
remove
appThm
1538
remove
trans
appThm
1541
remove
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1557
ref
1644
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1560
ref
nil
1557
ref
1561
ref
1342
ref
1629
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
proveHyp
1652
def
subst
nil
40
ref
1587
ref
cons
41
ref
1628
ref
cons
nil
cons
cons
nil
cons
cons
1653
def
61
ref
subst
1653
remove
125
ref
subst
nil
1502
ref
1514
ref
cons
1591
remove
cons
nil
cons
cons
1652
ref
subst
nil
40
ref
1590
ref
cons
1592
remove
nil
cons
cons
nil
cons
cons
1654
def
61
ref
subst
1654
remove
125
ref
subst
1132
remove
1505
remove
assume
appThm
1510
remove
assume
appThm
eqMp
nil
87
ref
1590
remove
cons
88
ref
1514
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
1587
remove
cons
88
ref
1628
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
40
ref
50
ref
1488
remove
appTerm
1489
remove
appTerm
nil
cons
cons
1469
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"z"
13
ref
var
1655
def
1161
remove
nil
cons
cons
1656
def
"y"
13
ref
var
1657
def
1465
remove
nil
cons
1658
def
cons
178
ref
1486
remove
nil
cons
cons
nil
cons
cons
cons
nil
cons
cons
nil
1502
ref
1283
ref
1176
ref
162
ref
178
ref
varTerm
1659
def
appTerm
1660
def
1657
ref
varTerm
1661
def
appTerm
1662
def
appTerm
1663
def
appTerm
1664
def
1176
ref
1660
remove
1655
ref
varTerm
1665
def
appTerm
1666
def
appTerm
1667
def
appTerm
nil
cons
cons
1512
ref
162
ref
1661
remove
appTerm
1665
remove
appTerm
1668
def
nil
cons
1669
def
cons
nil
cons
cons
nil
cons
cons
1562
ref
subst
763
ref
nil
1502
ref
1667
remove
nil
cons
1670
def
cons
1512
ref
1663
remove
nil
cons
1671
def
cons
nil
cons
cons
nil
cons
cons
1586
ref
subst
683
ref
nil
1512
ref
1662
remove
nil
cons
cons
nil
cons
nil
cons
cons
1589
ref
subst
appThm
nil
1512
ref
1666
remove
nil
cons
cons
nil
cons
nil
cons
cons
1589
ref
subst
appThm
trans
appThm
1668
remove
refl
appThm
trans
1664
remove
refl
nil
41
ref
1669
remove
cons
1672
def
40
ref
1670
ref
cons
nil
cons
cons
nil
cons
cons
1609
ref
subst
appThm
nil
1348
ref
1670
remove
cons
1672
remove
40
ref
1671
remove
cons
nil
cons
cons
cons
nil
cons
cons
1627
ref
subst
trans
687
ref
nil
40
ref
1176
ref
191
ref
"y"
112
ref
var
varTerm
1673
def
appTerm
1674
def
appTerm
1675
def
nil
cons
1676
def
cons
1677
def
41
ref
1283
ref
1675
remove
appTerm
1283
ref
1176
ref
191
remove
"z"
112
ref
var
varTerm
1678
def
appTerm
appTerm
appTerm
190
ref
1673
ref
appTerm
1678
ref
appTerm
1679
def
appTerm
1680
def
appTerm
nil
cons
1681
def
cons
nil
cons
1682
def
cons
nil
cons
cons
1683
def
61
ref
subst
1683
remove
125
ref
subst
1303
ref
1211
ref
nil
1677
remove
41
ref
44
ref
1674
ref
appTerm
647
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
87
ref
1674
ref
nil
cons
1684
def
cons
1685
def
nil
cons
nil
cons
cons
nil
40
ref
1176
ref
91
ref
appTerm
1686
def
nil
cons
1687
def
cons
41
ref
44
ref
91
ref
appTerm
647
ref
appTerm
nil
cons
1688
def
cons
nil
cons
cons
nil
cons
cons
1689
def
61
ref
subst
1689
remove
125
ref
subst
nil
40
ref
91
ref
nil
cons
1690
def
cons
1194
ref
cons
nil
cons
cons
763
ref
1174
remove
48
ref
appTerm
1691
def
assume
1692
def
appThm
56
remove
appThm
sym
nil
40
ref
83
ref
cons
1693
def
41
ref
83
ref
cons
nil
cons
cons
nil
cons
cons
1694
def
61
ref
subst
1694
remove
125
ref
subst
85
remove
eqMp
nil
87
ref
83
remove
cons
89
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1695
def
eqMp
1696
def
nil
40
ref
49
remove
nil
cons
1697
def
cons
41
ref
1355
ref
46
ref
appTerm
nil
cons
1698
def
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
1355
remove
refl
1692
remove
appThm
sym
1695
remove
eqMp
eqMp
nil
1693
remove
41
ref
75
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
nil
87
ref
1697
ref
cons
88
ref
1698
remove
cons
nil
cons
cons
nil
cons
cons
1699
def
789
ref
subst
eqMp
108
ref
1699
remove
102
ref
subst
eqMp
deductAntisym
deductAntisym
subst
44
ref
1686
ref
appTerm
refl
40
ref
47
remove
647
ref
appTerm
absTerm
1700
def
91
ref
appTerm
betaConv
appThm
nil
70
remove
1176
ref
appTerm
1700
remove
appTerm
axiom
100
remove
appThm
eqMp
1686
remove
assume
eqMp
nil
40
ref
1347
remove
647
ref
appTerm
nil
cons
cons
41
ref
1638
remove
91
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
40
ref
1047
ref
cons
41
ref
1690
ref
cons
nil
cons
cons
nil
cons
cons
1701
def
61
ref
subst
1701
remove
125
ref
subst
40
ref
46
remove
absTerm
1702
def
91
remove
appTerm
1703
def
betaConv
nil
1581
ref
198
ref
1702
ref
appTerm
1704
def
appTerm
axiom
647
ref
assume
eqMp
nil
40
ref
1704
remove
nil
cons
cons
41
ref
1703
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1702
remove
nil
cons
cons
203
ref
1690
ref
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
1047
ref
cons
88
ref
1690
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
nil
87
ref
1687
remove
cons
88
ref
1688
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
subst
eqMp
appThm
1302
ref
trans
appThm
1680
ref
refl
appThm
nil
74
ref
1680
remove
nil
cons
cons
nil
cons
nil
cons
cons
1312
remove
subst
trans
sym
80
ref
eqMp
eqMp
nil
87
ref
1676
ref
cons
88
ref
1681
ref
cons
nil
cons
1705
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
40
ref
1684
ref
cons
1682
remove
cons
nil
cons
cons
1706
def
61
ref
subst
1706
remove
125
ref
subst
1303
ref
1211
ref
190
ref
refl
1674
ref
assume
appThm
1707
def
1673
ref
refl
appThm
nil
120
ref
1673
remove
nil
cons
cons
nil
cons
nil
cons
cons
193
ref
subst
trans
appThm
1327
ref
trans
appThm
1303
remove
1211
ref
1707
remove
1678
remove
refl
appThm
appThm
appThm
1679
ref
refl
appThm
appThm
nil
74
ref
1283
ref
1176
ref
1679
ref
appTerm
appTerm
1679
ref
appTerm
nil
cons
1708
def
cons
nil
cons
nil
cons
cons
1333
ref
subst
trans
sym
nil
40
ref
44
ref
1679
ref
appTerm
1709
def
647
ref
appTerm
1710
def
nil
cons
1711
def
cons
41
ref
1708
ref
cons
nil
cons
1712
def
cons
nil
cons
cons
1713
def
61
ref
subst
1713
remove
125
ref
subst
44
ref
"_626"
3
ref
var
1714
def
1283
ref
1176
ref
1714
remove
varTerm
1715
def
appTerm
appTerm
1715
remove
appTerm
absTerm
1716
def
1679
ref
appTerm
1717
def
appTerm
refl
1718
def
1716
ref
647
ref
appTerm
betaConv
appThm
90
ref
1717
remove
betaConv
appThm
1719
def
1296
remove
647
ref
appTerm
refl
appThm
trans
1716
remove
refl
1720
def
1710
remove
assume
appThm
eqMp
sym
nil
74
ref
1295
ref
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
44
ref
1283
ref
77
ref
appTerm
1721
def
647
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1722
def
77
ref
appTerm
1723
def
betaConv
nil
198
ref
1722
ref
appTerm
1724
def
axiom
nil
40
ref
1724
remove
nil
cons
cons
41
ref
1723
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1722
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1725
def
subst
1302
ref
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1711
ref
cons
88
ref
1708
ref
cons
nil
cons
1726
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
40
ref
1709
remove
66
ref
appTerm
1727
def
nil
cons
1728
def
cons
1712
remove
cons
nil
cons
cons
1729
def
61
ref
subst
1729
remove
125
ref
subst
1718
remove
"_624"
3
ref
var
1730
def
1283
ref
1176
ref
1730
remove
varTerm
1731
def
appTerm
appTerm
1731
remove
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
1719
remove
1326
remove
66
ref
appTerm
refl
appThm
trans
1720
remove
1727
remove
assume
appThm
eqMp
sym
nil
74
ref
1325
ref
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
44
ref
1721
ref
66
ref
appTerm
appTerm
66
ref
appTerm
absTerm
1732
def
77
ref
appTerm
1733
def
betaConv
nil
198
ref
1732
ref
appTerm
1734
def
axiom
nil
40
ref
1734
remove
nil
cons
cons
41
ref
1733
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1732
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1735
def
subst
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
1728
remove
cons
1736
def
1726
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1336
remove
1679
ref
appTerm
1737
def
betaConv
1339
remove
nil
1340
remove
41
ref
1737
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
1341
remove
203
ref
1679
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
1736
remove
88
ref
1711
remove
cons
1342
ref
1708
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
proveHyp
eqMp
eqMp
nil
1685
ref
1705
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
74
ref
1721
remove
1180
ref
appTerm
absTerm
1738
def
1674
remove
appTerm
1739
def
betaConv
nil
198
ref
1738
ref
appTerm
1740
def
axiom
nil
40
ref
1740
remove
nil
cons
cons
41
ref
1739
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1738
remove
nil
cons
cons
203
ref
1684
remove
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
1685
remove
88
ref
1676
remove
cons
1342
ref
1681
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
1741
def
subst
eqMp
eqMp
nil
40
ref
50
ref
1467
remove
appTerm
1468
remove
appTerm
nil
cons
cons
41
ref
1162
remove
nil
cons
1742
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1656
remove
1657
ref
1157
ref
nil
cons
1743
def
cons
178
ref
1658
remove
cons
nil
cons
cons
cons
nil
cons
cons
1741
ref
subst
eqMp
nil
40
ref
1742
ref
cons
1744
def
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1744
remove
nil
cons
nil
cons
cons
44
ref
1177
remove
appTerm
refl
76
remove
1184
ref
subst
appThm
nil
203
ref
1178
remove
cons
nil
cons
nil
cons
cons
1190
ref
subst
trans
sym
80
ref
eqMp
1745
def
subst
1393
remove
assume
eqMp
eqMp
eqMp
nil
87
ref
1454
ref
cons
88
ref
1047
ref
cons
nil
cons
1746
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
40
ref
1388
ref
nil
cons
1747
def
cons
1194
ref
cons
nil
cons
cons
1748
def
61
ref
subst
1748
remove
125
ref
subst
nil
"_2192"
13
ref
var
1749
def
1472
ref
cons
"_2191"
13
ref
var
1750
def
179
ref
cons
"_2190"
13
ref
var
1751
def
748
ref
cons
nil
cons
cons
cons
nil
cons
cons
1026
ref
162
ref
703
ref
1751
remove
varTerm
1752
def
appTerm
1753
def
703
ref
1750
remove
varTerm
1754
def
appTerm
1029
ref
appTerm
appTerm
appTerm
703
ref
1753
ref
1754
ref
appTerm
appTerm
1029
ref
appTerm
appTerm
absTerm
1755
def
1749
remove
varTerm
1756
def
appTerm
1757
def
betaConv
158
ref
171
ref
1026
ref
162
ref
1753
ref
1156
remove
appTerm
appTerm
703
ref
1753
remove
163
ref
appTerm
appTerm
1029
ref
appTerm
appTerm
absTerm
appTerm
absTerm
1758
def
1754
ref
appTerm
1759
def
betaConv
1197
remove
1752
ref
appTerm
1760
def
betaConv
nil
1200
remove
41
ref
1760
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
1483
remove
178
ref
1752
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1758
ref
appTerm
nil
cons
cons
41
ref
1759
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1758
remove
nil
cons
cons
178
ref
1754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1755
ref
appTerm
nil
cons
cons
41
ref
1757
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1755
remove
nil
cons
cons
178
ref
1756
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
40
ref
1196
ref
nil
cons
cons
41
ref
1159
remove
1157
remove
appTerm
1761
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
178
ref
1743
ref
cons
nil
cons
1762
def
nil
cons
cons
687
ref
135
remove
subst
subst
eqMp
nil
40
ref
50
ref
1196
remove
appTerm
1761
remove
appTerm
nil
cons
cons
41
ref
1158
remove
nil
cons
1763
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1655
remove
1743
remove
cons
1657
remove
1155
remove
nil
cons
cons
1762
remove
cons
cons
nil
cons
cons
1741
remove
subst
eqMp
nil
40
ref
1763
ref
cons
1764
def
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1764
remove
nil
cons
nil
cons
cons
1745
ref
subst
1388
remove
assume
eqMp
eqMp
eqMp
nil
87
ref
1747
remove
cons
1765
def
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1765
remove
88
ref
1454
remove
cons
1342
ref
1047
ref
cons
nil
cons
1766
def
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
eqMp
nil
87
ref
1452
ref
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1423
remove
1194
ref
cons
nil
cons
cons
1767
def
61
ref
subst
1767
remove
125
ref
subst
nil
"_2184"
13
ref
var
1768
def
179
ref
cons
"_2183"
13
ref
var
1769
def
748
ref
cons
nil
cons
cons
nil
cons
cons
158
ref
162
ref
703
ref
1769
remove
varTerm
1770
def
appTerm
163
ref
appTerm
appTerm
704
ref
1770
ref
appTerm
appTerm
absTerm
1771
def
1768
remove
varTerm
1772
def
appTerm
1773
def
betaConv
1204
ref
1770
ref
appTerm
1774
def
betaConv
nil
1208
ref
41
ref
1774
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
1360
ref
178
ref
1770
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1771
ref
appTerm
nil
cons
cons
41
ref
1773
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1771
remove
nil
cons
cons
178
ref
1772
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
40
ref
1237
ref
cons
1775
def
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1775
remove
nil
cons
nil
cons
cons
1745
ref
subst
1385
remove
assume
eqMp
eqMp
eqMp
nil
87
ref
1422
remove
cons
1776
def
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1776
remove
88
ref
1452
remove
cons
1766
remove
cons
cons
nil
cons
cons
1358
ref
subst
proveHyp
proveHyp
eqMp
nil
87
ref
1450
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
1448
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
171
ref
178
ref
45
ref
1432
ref
1659
ref
appTerm
appTerm
647
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
1433
remove
appTerm
647
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1432
remove
nil
cons
cons
1746
ref
cons
nil
cons
cons
nil
40
ref
115
ref
120
ref
45
ref
122
remove
appTerm
1777
def
93
ref
appTerm
absTerm
1778
def
appTerm
1779
def
nil
cons
1780
def
cons
1781
def
41
ref
45
ref
1375
ref
117
ref
appTerm
1782
def
appTerm
1783
def
93
ref
appTerm
nil
cons
1784
def
cons
nil
cons
cons
nil
cons
cons
1785
def
61
ref
subst
1785
remove
125
ref
subst
nil
40
ref
1782
ref
nil
cons
1786
def
cons
1787
def
41
ref
93
ref
nil
cons
1788
def
cons
nil
cons
1789
def
cons
nil
cons
cons
1790
def
61
ref
subst
1790
remove
125
ref
subst
nil
1781
ref
1789
ref
cons
nil
cons
cons
1791
def
108
ref
subst
41
ref
45
ref
115
ref
120
ref
1777
remove
48
ref
appTerm
absTerm
appTerm
appTerm
48
ref
appTerm
absTerm
1792
def
93
ref
appTerm
1793
def
betaConv
nil
1787
remove
41
ref
198
ref
1792
ref
appTerm
1794
def
nil
cons
1795
def
cons
nil
cons
cons
nil
cons
cons
1796
def
108
ref
subst
44
ref
1782
remove
appTerm
1797
def
refl
127
ref
198
ref
41
ref
45
ref
115
ref
120
ref
45
ref
1218
remove
appTerm
48
ref
appTerm
absTerm
appTerm
appTerm
48
remove
appTerm
absTerm
appTerm
absTerm
1798
def
117
remove
appTerm
betaConv
appThm
nil
132
remove
1375
ref
appTerm
1798
remove
appTerm
axiom
133
remove
appThm
eqMp
1799
def
nil
40
ref
1797
remove
1794
ref
appTerm
nil
cons
cons
41
ref
1783
remove
1794
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1796
remove
nil
40
ref
1691
remove
nil
cons
1800
def
cons
41
ref
1697
ref
cons
nil
cons
cons
nil
cons
cons
1801
def
61
ref
subst
1801
remove
125
ref
subst
1696
remove
eqMp
nil
87
ref
1800
remove
cons
88
ref
1697
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
subst
eqMp
eqMp
nil
40
ref
1795
remove
cons
41
ref
1793
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1792
remove
nil
cons
cons
203
ref
1788
ref
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
87
ref
1786
remove
cons
88
ref
1788
remove
cons
nil
cons
1802
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
nil
87
ref
1780
remove
cons
1803
def
88
ref
1784
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1804
def
subst
eqMp
eqMp
eqMp
nil
87
ref
1444
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
171
ref
178
ref
45
ref
1434
ref
1659
ref
appTerm
appTerm
647
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
1435
remove
appTerm
647
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1434
remove
nil
cons
cons
1746
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
1440
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
171
ref
178
ref
45
ref
1436
ref
1659
remove
appTerm
appTerm
647
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
1437
remove
appTerm
647
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1436
remove
nil
cons
cons
1746
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
1199
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
1207
remove
cons
1805
def
88
ref
1279
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
nil
87
ref
1275
remove
cons
88
ref
1277
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
87
ref
1192
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
nil
1173
remove
41
ref
1171
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1170
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1169
remove
nil
cons
cons
41
ref
1168
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1167
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1166
remove
nil
cons
cons
41
ref
1165
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1164
remove
nil
cons
cons
178
ref
1472
ref
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
87
ref
1237
remove
cons
88
ref
1163
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
1806
def
nil
87
ref
1763
remove
cons
88
ref
1742
remove
cons
nil
cons
cons
nil
cons
cons
1807
def
102
ref
subst
proveHyp
1808
def
subst
appThm
nil
1026
ref
1137
ref
cons
nil
cons
nil
cons
cons
1808
remove
subst
1111
remove
nil
1026
ref
179
ref
cons
1133
remove
736
remove
cons
cons
nil
cons
cons
1806
remove
1807
remove
789
ref
subst
proveHyp
subst
appThm
trans
appThm
nil
178
ref
739
ref
739
ref
705
remove
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
688
ref
subst
trans
absThm
appThm
690
ref
trans
absThm
appThm
690
remove
trans
1809
def
appThm
1810
def
1810
remove
nil
74
ref
171
ref
735
ref
171
ref
158
ref
162
ref
1147
remove
appTerm
1146
remove
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
44
ref
298
remove
77
ref
appTerm
appTerm
77
ref
appTerm
absTerm
1811
def
77
ref
appTerm
1812
def
betaConv
nil
198
ref
1811
ref
appTerm
1813
def
axiom
nil
40
ref
1813
remove
nil
cons
cons
41
ref
1812
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1811
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
1809
remove
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
appThm
782
ref
trans
sym
80
ref
eqMp
eqMp
nil
87
ref
171
ref
735
ref
171
ref
158
ref
1028
remove
740
ref
appTerm
absTerm
appTerm
absTerm
appTerm
nil
cons
cons
88
ref
50
ref
162
ref
719
remove
appTerm
311
ref
appTerm
1814
def
appTerm
50
ref
171
ref
158
ref
162
ref
712
ref
698
ref
appTerm
appTerm
698
ref
appTerm
absTerm
appTerm
1815
def
appTerm
50
ref
171
ref
158
ref
162
ref
712
ref
697
ref
appTerm
appTerm
697
ref
appTerm
absTerm
appTerm
1816
def
appTerm
50
ref
171
ref
158
ref
162
ref
703
ref
698
ref
appTerm
311
ref
appTerm
appTerm
698
ref
appTerm
absTerm
appTerm
1817
def
appTerm
50
ref
171
ref
158
ref
162
ref
703
ref
697
ref
appTerm
311
ref
appTerm
appTerm
697
ref
appTerm
absTerm
appTerm
1818
def
appTerm
50
ref
171
ref
735
ref
171
ref
158
ref
162
ref
703
ref
309
ref
737
ref
appTerm
appTerm
1819
def
698
remove
appTerm
appTerm
309
ref
740
ref
appTerm
appTerm
absTerm
1820
def
appTerm
1821
def
absTerm
1822
def
appTerm
1823
def
appTerm
50
ref
171
ref
735
ref
171
ref
158
ref
162
ref
1819
remove
697
ref
appTerm
appTerm
1105
remove
appTerm
absTerm
1824
def
appTerm
1825
def
absTerm
1826
def
appTerm
1827
def
appTerm
50
ref
171
ref
1109
ref
appTerm
1828
def
appTerm
171
ref
735
ref
171
ref
158
ref
162
ref
1104
remove
697
remove
appTerm
appTerm
309
ref
741
remove
appTerm
appTerm
absTerm
1829
def
appTerm
1830
def
absTerm
1831
def
appTerm
1832
def
appTerm
1833
def
appTerm
1834
def
appTerm
1835
def
appTerm
1836
def
appTerm
1837
def
appTerm
1838
def
appTerm
1839
def
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
nil
87
ref
1814
remove
nil
cons
cons
88
ref
1839
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
nil
87
ref
1815
remove
nil
cons
cons
88
ref
1838
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
nil
87
ref
1816
remove
nil
cons
cons
88
ref
1837
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
nil
87
ref
1817
remove
nil
cons
cons
88
ref
1836
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
nil
87
ref
1818
remove
nil
cons
cons
88
ref
1835
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
789
ref
subst
proveHyp
1840
def
nil
87
ref
1823
remove
nil
cons
1841
def
cons
88
ref
1834
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1842
def
789
ref
subst
proveHyp
1843
def
nil
87
ref
1827
remove
nil
cons
1844
def
cons
88
ref
1833
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1845
def
789
ref
subst
proveHyp
1846
def
nil
87
ref
1828
remove
nil
cons
1847
def
cons
88
ref
1832
remove
nil
cons
1848
def
cons
nil
cons
cons
nil
cons
cons
1849
def
102
ref
subst
proveHyp
nil
40
ref
1847
remove
cons
41
ref
1110
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1109
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1108
remove
nil
cons
cons
41
ref
1107
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1106
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1850
def
subst
310
ref
refl
1851
def
nil
862
ref
735
ref
841
remove
cons
nil
cons
1852
def
cons
nil
cons
cons
1850
ref
subst
1851
ref
nil
842
ref
1025
ref
nil
cons
1853
def
cons
nil
cons
cons
1850
remove
subst
1851
ref
696
ref
1115
remove
subst
appThm
trans
appThm
trans
appThm
trans
appThm
972
ref
trans
1854
def
nil
735
ref
960
remove
cons
987
remove
1026
ref
315
ref
nil
cons
1855
def
cons
1856
def
nil
cons
1857
def
cons
cons
nil
cons
cons
44
ref
"_9283"
13
ref
var
1858
def
44
ref
637
ref
1858
remove
varTerm
appTerm
1029
ref
appTerm
appTerm
647
ref
appTerm
absTerm
1859
def
163
ref
appTerm
1860
def
appTerm
refl
1859
ref
663
ref
1160
ref
appTerm
1861
def
appTerm
betaConv
appThm
90
ref
1860
remove
betaConv
appThm
44
ref
637
ref
1861
ref
appTerm
1029
ref
appTerm
1862
def
appTerm
647
ref
appTerm
refl
appThm
trans
1859
remove
refl
162
ref
1861
ref
appTerm
1863
def
163
ref
appTerm
assume
sym
appThm
eqMp
sym
nil
74
ref
1862
remove
nil
cons
cons
nil
cons
nil
cons
cons
74
ref
44
ref
1335
remove
appTerm
1180
remove
appTerm
absTerm
1864
def
77
ref
appTerm
1865
def
betaConv
nil
198
ref
1864
ref
appTerm
1866
def
axiom
nil
40
ref
1866
remove
nil
cons
cons
41
ref
1865
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1864
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
158
ref
1472
ref
cons
735
ref
1861
remove
nil
cons
1867
def
cons
nil
cons
cons
nil
cons
cons
158
ref
44
ref
1176
ref
637
ref
737
ref
appTerm
1868
def
163
ref
appTerm
appTerm
appTerm
"Number.Natural.<"
const
161
remove
constTerm
1869
def
163
ref
appTerm
737
ref
appTerm
appTerm
absTerm
1870
def
163
ref
appTerm
1871
def
betaConv
735
ref
171
ref
1870
ref
appTerm
1872
def
absTerm
1873
def
737
ref
appTerm
1874
def
betaConv
nil
171
ref
1873
ref
appTerm
1875
def
axiom
nil
40
ref
1875
remove
nil
cons
cons
41
ref
1874
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1873
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1872
remove
nil
cons
cons
41
ref
1871
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1870
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
158
ref
1867
remove
cons
1876
def
735
ref
1472
ref
cons
nil
cons
1877
def
cons
nil
cons
cons
158
ref
44
ref
1869
remove
737
ref
appTerm
163
ref
appTerm
appTerm
1383
ref
"d"
13
ref
var
1878
def
1491
remove
739
remove
663
ref
1878
ref
varTerm
1879
def
appTerm
appTerm
appTerm
absTerm
appTerm
appTerm
absTerm
1880
def
163
ref
appTerm
1881
def
betaConv
735
ref
171
ref
1880
ref
appTerm
1882
def
absTerm
1883
def
737
ref
appTerm
1884
def
betaConv
nil
171
ref
1883
ref
appTerm
1885
def
axiom
nil
40
ref
1885
remove
nil
cons
cons
41
ref
1884
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1883
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1882
remove
nil
cons
cons
41
ref
1881
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1880
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
trans
trans
1384
remove
1878
ref
710
ref
nil
1876
remove
nil
cons
nil
cons
cons
1112
ref
subst
appThm
nil
158
ref
1879
ref
nil
cons
cons
1877
remove
cons
nil
cons
cons
758
remove
subst
appThm
absThm
appThm
trans
sym
nil
40
ref
1383
remove
1878
ref
1863
ref
663
ref
1484
ref
1879
ref
appTerm
appTerm
appTerm
1886
def
absTerm
1887
def
appTerm
1888
def
nil
cons
cons
nil
cons
nil
cons
cons
1191
ref
subst
sym
nil
40
ref
1176
ref
1888
remove
appTerm
1889
def
nil
cons
1890
def
cons
1194
ref
cons
nil
cons
cons
1891
def
61
ref
subst
1891
remove
125
ref
subst
1206
ref
nil
1208
ref
1194
ref
cons
nil
cons
cons
1892
def
108
ref
subst
proveHyp
1892
ref
61
ref
subst
1892
remove
125
ref
subst
nil
"_9287"
13
ref
var
1893
def
1472
remove
cons
"_9286"
13
ref
var
1894
def
748
ref
cons
nil
cons
cons
nil
cons
cons
158
ref
162
ref
703
ref
1894
remove
varTerm
1895
def
appTerm
163
ref
appTerm
appTerm
704
ref
1895
ref
appTerm
appTerm
absTerm
1896
def
1893
remove
varTerm
1897
def
appTerm
1898
def
betaConv
1204
ref
1895
ref
appTerm
1899
def
betaConv
nil
1208
ref
41
ref
1899
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
1360
ref
178
ref
1895
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1896
ref
appTerm
nil
cons
cons
41
ref
1898
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1896
remove
nil
cons
cons
178
ref
1897
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
40
ref
162
ref
1160
remove
appTerm
1485
ref
appTerm
nil
cons
cons
41
ref
1863
ref
663
ref
1485
remove
appTerm
appTerm
nil
cons
1900
def
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_9293"
13
ref
var
1901
def
1499
remove
cons
"_9292"
13
ref
var
1902
def
1497
remove
cons
nil
cons
cons
nil
cons
cons
nil
40
ref
162
ref
1902
remove
varTerm
1903
def
appTerm
1901
remove
varTerm
1904
def
appTerm
1905
def
nil
cons
1906
def
cons
41
ref
162
ref
663
ref
1903
remove
appTerm
appTerm
663
ref
1904
remove
appTerm
appTerm
nil
cons
1907
def
cons
nil
cons
cons
nil
cons
cons
1908
def
61
ref
subst
1908
remove
125
ref
subst
664
ref
1905
remove
assume
appThm
eqMp
nil
87
ref
1906
remove
cons
88
ref
1907
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
subst
eqMp
nil
40
ref
1900
remove
cons
1194
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_9285"
13
ref
var
1909
def
748
ref
cons
nil
cons
nil
cons
cons
nil
40
ref
1863
remove
663
ref
1484
remove
1909
remove
varTerm
1910
def
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1745
ref
subst
1878
ref
1176
ref
1886
remove
appTerm
absTerm
1911
def
1910
ref
appTerm
1912
def
betaConv
nil
177
ref
1887
ref
nil
cons
cons
nil
cons
nil
cons
cons
687
remove
90
ref
1211
ref
1375
remove
refl
1374
remove
appThm
appThm
appThm
115
ref
1376
remove
appTerm
refl
appThm
sym
1377
remove
127
remove
44
ref
1176
ref
1398
remove
appTerm
appTerm
115
ref
1378
remove
appTerm
appTerm
absTerm
1913
def
128
remove
appTerm
1914
def
betaConv
nil
1226
remove
1913
ref
appTerm
1915
def
axiom
nil
40
ref
1915
remove
nil
cons
cons
41
ref
1914
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
1231
remove
1232
remove
1913
remove
nil
cons
cons
1234
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
eqMp
subst
subst
684
ref
1878
remove
1211
remove
1887
remove
1879
remove
appTerm
betaConv
appThm
absThm
appThm
trans
1889
remove
assume
eqMp
nil
40
ref
171
ref
1911
ref
appTerm
nil
cons
cons
41
ref
1912
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1911
remove
nil
cons
cons
178
ref
1910
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
subst
eqMp
eqMp
nil
1805
ref
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
1890
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
deductAntisym
1854
remove
eqMp
1916
def
trans
appThm
997
remove
648
ref
1095
ref
662
ref
appTerm
appTerm
appTerm
1917
def
refl
appThm
1096
ref
444
ref
appTerm
1918
def
refl
appThm
nil
1000
ref
1918
remove
nil
cons
cons
1001
ref
1917
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1002
remove
1003
remove
190
ref
1004
remove
647
ref
appTerm
1006
ref
appTerm
1007
ref
appTerm
appTerm
1007
ref
appTerm
absTerm
1919
def
1007
remove
appTerm
1920
def
betaConv
1005
remove
115
ref
1919
ref
appTerm
1921
def
absTerm
1922
def
1006
remove
appTerm
1923
def
betaConv
nil
115
ref
1922
ref
appTerm
1924
def
axiom
nil
40
ref
1924
remove
nil
cons
cons
41
ref
1923
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1922
remove
nil
cons
cons
1014
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1921
remove
nil
cons
cons
41
ref
1920
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
1919
remove
nil
cons
cons
1015
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1925
def
subst
1926
def
subst
653
ref
refl
1927
def
1102
ref
appThm
1928
def
444
ref
refl
1929
def
appThm
1927
ref
891
ref
sym
1930
def
appThm
1931
def
1929
ref
appThm
637
ref
959
ref
appTerm
1932
def
refl
1933
def
971
remove
appThm
nil
881
ref
735
ref
898
remove
cons
nil
cons
1934
def
cons
nil
cons
cons
1935
def
1824
ref
163
ref
appTerm
1936
def
betaConv
1826
ref
737
ref
appTerm
1937
def
betaConv
1843
remove
1845
remove
102
ref
subst
proveHyp
nil
40
ref
1844
remove
cons
41
ref
1937
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1826
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1825
remove
nil
cons
cons
41
ref
1936
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1824
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
1938
def
subst
1851
ref
nil
842
ref
735
ref
861
remove
cons
nil
cons
1939
def
cons
nil
cons
cons
1940
def
1938
ref
subst
1851
ref
nil
694
ref
1852
ref
cons
nil
cons
cons
1938
ref
subst
1851
ref
696
remove
1131
remove
subst
appThm
trans
1941
def
appThm
trans
1942
def
appThm
trans
1943
def
nil
735
ref
1855
ref
cons
1944
def
961
ref
1026
ref
310
ref
959
ref
appTerm
1945
def
nil
cons
1946
def
cons
nil
cons
cons
cons
nil
cons
cons
44
ref
"_9269"
13
ref
var
1947
def
44
ref
989
ref
1947
remove
varTerm
appTerm
appTerm
66
ref
appTerm
absTerm
1948
def
1029
remove
appTerm
1949
def
appTerm
refl
1948
ref
740
ref
appTerm
betaConv
appThm
90
ref
1949
remove
betaConv
appThm
44
ref
989
ref
740
ref
appTerm
1950
def
appTerm
66
ref
appTerm
refl
appThm
trans
1948
remove
refl
1038
remove
appThm
eqMp
sym
nil
74
ref
1950
ref
nil
cons
1951
def
cons
nil
cons
nil
cons
cons
74
ref
44
ref
79
remove
appTerm
77
ref
appTerm
absTerm
1952
def
77
ref
appTerm
1953
def
betaConv
nil
198
ref
1952
ref
appTerm
1954
def
axiom
nil
40
ref
1954
remove
nil
cons
cons
41
ref
1953
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
1952
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
sym
nil
40
ref
1951
ref
cons
1955
def
nil
cons
nil
cons
cons
1956
def
1191
remove
subst
sym
nil
40
ref
1176
ref
1950
remove
appTerm
1957
def
nil
cons
1958
def
cons
1959
def
1194
ref
cons
nil
cons
cons
1960
def
61
ref
subst
1960
remove
125
ref
subst
nil
171
ref
735
ref
171
ref
158
ref
1868
remove
740
ref
appTerm
absTerm
appTerm
absTerm
1961
def
appTerm
1962
def
axiom
nil
40
ref
1962
ref
nil
cons
1963
def
cons
1964
def
1194
ref
cons
nil
cons
cons
1965
def
108
ref
subst
proveHyp
1206
remove
nil
1208
ref
41
ref
45
ref
1962
ref
appTerm
647
ref
appTerm
1966
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1959
ref
41
ref
1210
ref
1966
remove
appTerm
1967
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
735
ref
45
ref
1957
ref
appTerm
1968
def
1967
remove
appTerm
absTerm
1969
def
737
ref
appTerm
1970
def
betaConv
158
ref
171
ref
1969
ref
appTerm
1971
def
absTerm
1972
def
163
ref
appTerm
1973
def
betaConv
684
ref
158
ref
684
remove
735
ref
1968
ref
refl
1269
remove
nil
74
ref
1963
ref
cons
nil
cons
nil
cons
cons
1184
remove
subst
1974
def
appThm
appThm
absThm
appThm
absThm
appThm
sym
nil
177
ref
158
ref
171
ref
735
ref
1968
remove
1210
remove
1176
ref
1962
remove
appTerm
1975
def
appTerm
1976
def
appTerm
1977
def
absTerm
1978
def
appTerm
1979
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
727
ref
subst
158
ref
nil
74
ref
1979
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
177
ref
1978
remove
nil
cons
cons
nil
cons
nil
cons
cons
727
remove
subst
735
remove
nil
74
ref
1977
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
1959
remove
41
ref
1976
remove
nil
cons
1980
def
cons
nil
cons
cons
nil
cons
cons
1981
def
61
ref
subst
1981
remove
125
ref
subst
nil
1208
ref
41
ref
1975
remove
nil
cons
1982
def
cons
nil
cons
cons
nil
cons
cons
1983
def
61
ref
subst
1983
remove
125
ref
subst
1974
remove
1965
ref
61
ref
subst
1965
remove
125
ref
subst
1112
remove
nil
1493
remove
41
ref
50
ref
162
ref
1153
ref
appTerm
740
remove
appTerm
1984
def
appTerm
989
ref
1153
ref
appTerm
1985
def
appTerm
1986
def
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
"_9272"
13
ref
var
1987
def
748
ref
cons
"_9271"
13
ref
var
1988
def
179
ref
cons
nil
cons
cons
nil
cons
cons
158
ref
162
ref
703
ref
1988
remove
varTerm
1989
def
appTerm
163
ref
appTerm
appTerm
704
remove
1989
ref
appTerm
appTerm
absTerm
1990
def
1987
remove
varTerm
1991
def
appTerm
1992
def
betaConv
1204
remove
1989
ref
appTerm
1993
def
betaConv
nil
1208
remove
41
ref
1993
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
1360
remove
178
ref
1989
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1990
ref
appTerm
nil
cons
cons
41
ref
1992
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1990
remove
nil
cons
cons
178
ref
1991
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
nil
40
ref
1984
remove
nil
cons
cons
41
ref
1985
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
125
ref
subst
proveHyp
nil
"_9274"
13
ref
var
1994
def
748
remove
cons
"_9273"
13
ref
var
1995
def
179
ref
cons
nil
cons
cons
nil
cons
cons
158
ref
637
ref
1995
remove
varTerm
1996
def
appTerm
703
ref
1996
ref
appTerm
163
ref
appTerm
appTerm
absTerm
1997
def
1994
remove
varTerm
1998
def
appTerm
1999
def
betaConv
1961
ref
1996
ref
appTerm
2000
def
betaConv
nil
1964
remove
41
ref
2000
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
176
ref
177
ref
1961
remove
nil
cons
cons
178
ref
1996
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
171
ref
1997
ref
appTerm
nil
cons
cons
41
ref
1999
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1997
remove
nil
cons
cons
178
remove
1998
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
eqMp
eqMp
nil
40
ref
1495
remove
1986
remove
appTerm
nil
cons
cons
41
ref
1951
remove
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
"_9278"
13
ref
var
2001
def
1137
remove
cons
"_9276"
13
ref
var
2002
def
1153
remove
nil
cons
cons
"_9277"
13
ref
var
2003
def
179
ref
cons
"_9275"
13
ref
var
2004
def
179
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
nil
1502
ref
1283
ref
1176
ref
162
ref
2004
remove
varTerm
2005
def
appTerm
2003
remove
varTerm
2006
def
appTerm
2007
def
appTerm
2008
def
appTerm
2009
def
1283
ref
1176
ref
162
ref
2002
remove
varTerm
2010
def
appTerm
2001
remove
varTerm
2011
def
appTerm
2012
def
appTerm
2013
def
appTerm
2014
def
1176
ref
637
ref
2005
remove
appTerm
2010
remove
appTerm
2015
def
appTerm
2016
def
appTerm
2017
def
appTerm
nil
cons
cons
1512
ref
637
ref
2006
remove
appTerm
2011
remove
appTerm
2018
def
nil
cons
2019
def
cons
nil
cons
cons
nil
cons
cons
1562
remove
subst
763
ref
nil
1502
ref
2017
remove
nil
cons
cons
1512
ref
2008
remove
nil
cons
2020
def
cons
nil
cons
cons
nil
cons
cons
1586
ref
subst
683
ref
nil
1512
ref
2007
ref
nil
cons
2021
def
cons
nil
cons
2022
def
nil
cons
cons
1589
ref
subst
appThm
nil
1502
ref
2016
ref
nil
cons
2023
def
cons
1512
ref
2013
ref
nil
cons
2024
def
cons
nil
cons
cons
nil
cons
cons
1586
remove
subst
683
ref
nil
1512
ref
2012
ref
nil
cons
2025
def
cons
nil
cons
2026
def
nil
cons
cons
1589
ref
subst
appThm
nil
1512
remove
2015
ref
nil
cons
cons
nil
cons
2027
def
nil
cons
cons
1589
remove
subst
appThm
trans
appThm
trans
appThm
2018
ref
refl
appThm
trans
90
ref
2009
ref
refl
2028
def
nil
1348
ref
2023
ref
cons
41
ref
2019
ref
cons
2029
def
40
ref
2024
ref
cons
nil
cons
2030
def
cons
cons
nil
cons
cons
1627
ref
subst
1283
ref
2018
ref
appTerm
2031
def
refl
2032
def
nil
41
ref
2023
remove
cons
2033
def
2030
remove
cons
nil
cons
cons
1609
remove
subst
2034
def
appThm
trans
appThm
nil
1348
ref
1283
ref
2016
ref
appTerm
2035
def
2013
ref
appTerm
nil
cons
cons
2029
remove
40
ref
2020
remove
cons
nil
cons
2036
def
cons
cons
nil
cons
cons
1627
ref
subst
2032
ref
nil
1348
remove
2024
remove
cons
2033
remove
2036
remove
cons
cons
nil
cons
cons
1627
remove
subst
2037
def
appThm
trans
trans
appThm
2032
remove
2028
remove
2034
remove
appThm
2037
remove
trans
appThm
appThm
nil
203
ref
2031
ref
2035
remove
2009
remove
2013
remove
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
1190
remove
subst
trans
sym
80
ref
eqMp
nil
1502
ref
2014
remove
2031
remove
2016
remove
appTerm
2038
def
appTerm
nil
cons
2039
def
cons
2022
remove
cons
nil
cons
cons
1652
ref
subst
nil
40
ref
2021
ref
cons
41
ref
2039
ref
cons
nil
cons
cons
nil
cons
cons
2040
def
61
ref
subst
2040
remove
125
ref
subst
nil
1502
ref
2038
remove
nil
cons
2041
def
cons
2026
remove
cons
nil
cons
cons
1652
remove
subst
nil
40
ref
2025
ref
cons
41
ref
2041
ref
cons
nil
cons
2042
def
cons
nil
cons
cons
2043
def
61
ref
subst
2043
remove
125
ref
subst
661
ref
2007
remove
assume
appThm
2012
remove
assume
appThm
nil
40
ref
44
ref
2015
remove
appTerm
2018
remove
appTerm
nil
cons
cons
2042
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1502
remove
2019
remove
cons
2027
remove
cons
nil
cons
cons
nil
1519
remove
41
ref
45
ref
1516
remove
1520
ref
appTerm
appTerm
1283
ref
1520
ref
appTerm
2044
def
1565
remove
appTerm
appTerm
nil
cons
2045
def
cons
nil
cons
2046
def
cons
nil
cons
cons
2047
def
61
ref
subst
2047
remove
125
ref
subst
44
ref
"_634"
3
ref
var
2048
def
45
ref
44
ref
2048
remove
varTerm
2049
def
appTerm
1520
ref
appTerm
appTerm
2044
ref
1176
ref
2049
remove
appTerm
appTerm
appTerm
absTerm
2050
def
1515
remove
appTerm
2051
def
appTerm
refl
2052
def
2050
ref
647
ref
appTerm
betaConv
appThm
90
ref
2051
remove
betaConv
appThm
2053
def
45
ref
1581
remove
1520
ref
appTerm
appTerm
2044
ref
1295
remove
appTerm
appTerm
refl
appThm
trans
2050
remove
refl
2054
def
1535
remove
appThm
eqMp
sym
763
ref
1537
ref
1585
remove
subst
appThm
2044
ref
refl
2055
def
1302
remove
appThm
1537
ref
1735
remove
subst
trans
appThm
1556
remove
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1542
remove
88
ref
2045
ref
cons
nil
cons
2056
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
nil
1546
remove
2046
remove
cons
nil
cons
cons
2057
def
61
ref
subst
2057
remove
125
ref
subst
2052
remove
"_632"
3
ref
var
2058
def
45
ref
44
ref
2058
remove
varTerm
2059
def
appTerm
1520
ref
appTerm
appTerm
2044
ref
1176
remove
2059
remove
appTerm
appTerm
appTerm
absTerm
66
ref
appTerm
betaConv
appThm
2053
remove
45
ref
1313
remove
1520
remove
appTerm
appTerm
2044
remove
1325
remove
appTerm
appTerm
refl
appThm
trans
2054
remove
1551
remove
appThm
eqMp
sym
763
remove
1537
ref
1317
remove
subst
appThm
2055
remove
1327
remove
appThm
1537
ref
1725
ref
subst
trans
appThm
1537
remove
nil
74
ref
1179
remove
77
ref
appTerm
2060
def
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
74
ref
2060
remove
absTerm
2061
def
77
ref
appTerm
2062
def
betaConv
nil
198
ref
2061
ref
appTerm
2063
def
axiom
nil
40
ref
2063
remove
nil
cons
cons
41
ref
2062
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2061
remove
nil
cons
cons
204
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
subst
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
1557
ref
2056
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
1560
remove
nil
1557
remove
1561
remove
1342
remove
2045
remove
cons
nil
cons
cons
cons
nil
cons
cons
1358
remove
subst
proveHyp
proveHyp
proveHyp
subst
eqMp
eqMp
nil
87
ref
2025
remove
cons
88
ref
2041
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
2021
remove
cons
88
ref
2039
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
subst
eqMp
nil
1955
remove
1194
remove
cons
nil
cons
cons
108
ref
subst
proveHyp
1956
remove
1745
remove
subst
1957
remove
assume
eqMp
eqMp
eqMp
nil
87
ref
1963
remove
cons
1746
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
1805
remove
88
ref
1982
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
nil
87
ref
1958
remove
cons
2064
def
88
ref
1980
remove
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
eqMp
nil
40
ref
171
ref
1972
ref
appTerm
nil
cons
cons
41
ref
1973
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1972
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1971
remove
nil
cons
cons
41
ref
1970
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1969
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
nil
2064
remove
1746
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
eqMp
2065
def
subst
deductAntisym
1943
remove
eqMp
2066
def
trans
sym
80
ref
eqMp
2067
def
nil
40
ref
1932
ref
665
remove
appTerm
nil
cons
cons
2068
def
41
ref
142
ref
653
ref
663
ref
959
ref
appTerm
2069
def
appTerm
2070
def
444
ref
appTerm
appTerm
396
ref
653
ref
959
ref
appTerm
2071
def
443
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
974
remove
976
remove
962
ref
cons
cons
nil
cons
cons
2072
def
491
ref
802
ref
45
ref
989
remove
811
remove
appTerm
appTerm
2073
def
1049
ref
651
remove
1
ref
13
remove
804
remove
cons
opType
2074
def
constTerm
2075
def
685
ref
appTerm
810
ref
appTerm
appTerm
808
remove
2075
ref
163
ref
appTerm
809
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2076
def
809
ref
appTerm
2077
def
betaConv
806
ref
815
ref
2076
ref
appTerm
2078
def
absTerm
2079
def
807
ref
appTerm
2080
def
betaConv
158
ref
115
ref
2079
ref
appTerm
2081
def
absTerm
2082
def
163
ref
appTerm
2083
def
betaConv
nil
171
ref
2082
ref
appTerm
2084
def
axiom
nil
40
ref
2084
remove
nil
cons
cons
41
ref
2083
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
2082
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2081
remove
nil
cons
cons
41
ref
2080
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2079
remove
nil
cons
cons
820
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2078
remove
nil
cons
cons
41
ref
2077
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2076
remove
nil
cons
cons
824
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2085
def
subst
eqMp
trans
1071
ref
1927
ref
884
ref
sym
2086
def
appThm
2087
def
443
ref
refl
2088
def
appThm
637
ref
939
ref
appTerm
2089
def
refl
2090
def
958
remove
appThm
1935
remove
1820
ref
163
ref
appTerm
2091
def
betaConv
1822
ref
737
ref
appTerm
2092
def
betaConv
1840
remove
1842
remove
102
ref
subst
proveHyp
nil
40
ref
1841
remove
cons
41
ref
2092
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1822
remove
nil
cons
cons
749
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1821
remove
nil
cons
cons
41
ref
2091
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1820
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
2093
def
subst
833
ref
1942
remove
appThm
trans
2094
def
nil
1944
ref
940
ref
1026
ref
309
ref
959
ref
appTerm
2095
def
nil
cons
2096
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2094
remove
eqMp
2097
def
trans
sym
80
ref
eqMp
2098
def
nil
40
ref
2089
ref
666
remove
appTerm
nil
cons
cons
2099
def
41
ref
142
ref
653
ref
663
ref
939
ref
appTerm
2100
def
appTerm
2101
def
443
ref
appTerm
appTerm
398
ref
653
ref
939
ref
appTerm
2102
def
442
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
966
remove
968
remove
941
ref
cons
cons
nil
cons
cons
2103
def
2085
ref
subst
eqMp
trans
1072
ref
1927
ref
872
ref
sym
2104
def
appThm
2105
def
442
ref
refl
2106
def
appThm
637
ref
919
ref
appTerm
2107
def
refl
2108
def
950
remove
appThm
nil
862
ref
1934
ref
cons
nil
cons
cons
2109
def
1938
ref
subst
1851
ref
1940
remove
2093
ref
subst
833
ref
1941
remove
appThm
trans
2110
def
appThm
trans
2111
def
nil
1944
ref
920
ref
1026
ref
310
ref
939
ref
appTerm
2112
def
nil
cons
2113
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2111
remove
eqMp
2114
def
trans
sym
80
ref
eqMp
2115
def
nil
40
ref
2107
ref
667
remove
appTerm
nil
cons
cons
2116
def
41
ref
142
ref
653
ref
663
ref
919
ref
appTerm
2117
def
appTerm
2118
def
442
ref
appTerm
appTerm
400
ref
653
ref
919
ref
appTerm
2119
def
441
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
953
remove
955
remove
921
ref
cons
cons
nil
cons
cons
2120
def
2085
ref
subst
eqMp
trans
1073
ref
1927
ref
865
ref
sym
2121
def
appThm
2122
def
441
ref
refl
2123
def
appThm
637
ref
314
ref
appTerm
2124
def
refl
2125
def
938
remove
appThm
2109
remove
2093
ref
subst
833
ref
2110
remove
appThm
trans
2126
def
nil
1944
ref
899
ref
1026
ref
309
ref
939
ref
appTerm
2127
def
nil
cons
2128
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2126
remove
eqMp
2129
def
trans
sym
80
ref
eqMp
2130
def
nil
40
ref
2124
ref
668
remove
appTerm
nil
cons
cons
2131
def
41
ref
142
ref
653
ref
663
ref
314
ref
appTerm
2132
def
appTerm
2133
def
441
ref
appTerm
appTerm
402
ref
653
ref
314
ref
appTerm
2134
def
440
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
945
remove
947
remove
900
ref
cons
cons
nil
cons
cons
2135
def
2085
ref
subst
eqMp
trans
1074
ref
1927
ref
854
ref
sym
2136
def
appThm
2137
def
440
ref
refl
2138
def
appThm
637
ref
879
ref
appTerm
2139
def
refl
2140
def
930
remove
appThm
nil
842
ref
1934
ref
cons
nil
cons
cons
2141
def
1938
ref
subst
1851
ref
nil
694
ref
1939
ref
cons
nil
cons
cons
1938
ref
subst
1851
ref
844
ref
1130
ref
subst
appThm
trans
2142
def
appThm
trans
2143
def
nil
1944
ref
881
ref
1026
ref
310
ref
919
ref
appTerm
2144
def
nil
cons
2145
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2143
remove
eqMp
2146
def
trans
sym
80
ref
eqMp
2147
def
nil
40
ref
2139
ref
669
remove
appTerm
nil
cons
cons
2148
def
41
ref
142
ref
653
ref
663
ref
879
ref
appTerm
2149
def
appTerm
2150
def
440
ref
appTerm
appTerm
404
ref
653
ref
879
ref
appTerm
2151
def
439
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
933
remove
935
remove
882
ref
cons
cons
nil
cons
cons
2152
def
2085
ref
subst
eqMp
trans
1075
ref
1927
ref
847
ref
sym
2153
def
appThm
2154
def
439
ref
refl
2155
def
appThm
637
ref
313
ref
appTerm
2156
def
refl
2157
def
918
remove
appThm
2141
remove
2093
ref
subst
833
ref
2142
remove
appThm
trans
2158
def
nil
1944
ref
862
ref
1026
ref
309
remove
919
ref
appTerm
2159
def
nil
cons
2160
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2158
remove
eqMp
2161
def
trans
sym
80
ref
eqMp
2162
def
nil
40
ref
2156
ref
670
remove
appTerm
nil
cons
cons
2163
def
41
ref
142
ref
653
ref
663
ref
313
ref
appTerm
2164
def
appTerm
2165
def
439
ref
appTerm
appTerm
406
ref
653
ref
313
ref
appTerm
2166
def
438
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
925
remove
927
remove
863
ref
cons
cons
nil
cons
cons
2167
def
2085
ref
subst
eqMp
trans
1076
ref
1927
ref
834
ref
sym
2168
def
appThm
2169
def
438
ref
refl
2170
def
appThm
637
ref
312
ref
appTerm
2171
def
refl
2172
def
910
remove
appThm
nil
694
ref
1934
ref
cons
nil
cons
cons
1938
remove
subst
1851
remove
864
ref
1130
ref
subst
appThm
trans
2173
def
nil
1944
ref
842
ref
1026
remove
310
remove
314
ref
appTerm
2174
def
nil
cons
2175
def
cons
nil
cons
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2173
remove
eqMp
2176
def
trans
sym
80
ref
eqMp
2177
def
nil
40
ref
2171
ref
671
remove
appTerm
nil
cons
cons
2178
def
41
ref
142
ref
653
ref
663
remove
312
ref
appTerm
2179
def
appTerm
2180
def
438
ref
appTerm
appTerm
408
ref
653
ref
312
ref
appTerm
2181
def
437
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
913
remove
915
remove
843
ref
cons
cons
nil
cons
cons
2182
def
2085
ref
subst
eqMp
trans
1077
ref
1927
remove
775
ref
appThm
2183
def
437
ref
refl
2184
def
appThm
637
ref
311
ref
appTerm
2185
def
refl
2186
def
897
ref
appThm
901
ref
1130
remove
subst
2187
def
nil
1944
ref
694
ref
1857
remove
cons
cons
nil
cons
cons
2065
ref
subst
deductAntisym
2187
remove
eqMp
2188
def
trans
sym
80
ref
eqMp
2189
def
nil
40
ref
2185
ref
672
ref
appTerm
nil
cons
cons
2190
def
41
ref
142
ref
653
ref
691
ref
appTerm
2191
def
437
ref
appTerm
appTerm
410
ref
653
ref
311
ref
appTerm
2192
def
436
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
905
ref
907
remove
695
ref
cons
cons
nil
cons
cons
2193
def
2085
ref
subst
eqMp
trans
1078
ref
nil
25
ref
904
ref
cons
2194
def
nil
cons
2195
def
nil
cons
cons
2196
def
491
ref
1058
ref
1049
ref
2075
remove
311
ref
appTerm
1059
ref
appTerm
appTerm
682
ref
appTerm
absTerm
2197
def
1059
ref
appTerm
2198
def
betaConv
nil
815
ref
2197
ref
appTerm
2199
def
axiom
nil
40
ref
2199
remove
nil
cons
cons
41
ref
2198
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2197
remove
nil
cons
cons
1069
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2200
def
subst
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
2201
def
trans
trans
trans
trans
2202
def
trans
appThm
appThm
359
ref
370
ref
371
remove
629
ref
218
ref
refl
nil
158
ref
1855
remove
cons
2203
def
631
remove
cons
nil
cons
cons
158
ref
12
ref
329
ref
31
ref
appTerm
163
ref
appTerm
appTerm
633
remove
1
ref
3
ref
305
remove
nil
cons
cons
opType
constTerm
2204
def
642
remove
appTerm
2204
ref
641
remove
163
ref
appTerm
appTerm
29
ref
428
ref
appTerm
2205
def
appTerm
29
ref
"Data.List.drop"
const
2206
def
652
remove
constTerm
2207
def
163
ref
appTerm
2208
def
30
ref
appTerm
appTerm
appTerm
appTerm
2204
ref
637
ref
225
remove
appTerm
2209
def
163
ref
appTerm
appTerm
2205
ref
appTerm
29
ref
2208
remove
655
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2210
def
163
ref
appTerm
2211
def
betaConv
25
ref
171
ref
2210
ref
appTerm
2212
def
absTerm
2213
def
30
ref
appTerm
2214
def
betaConv
nil
38
ref
2213
ref
appTerm
2215
def
axiom
nil
40
ref
2215
remove
nil
cons
cons
41
ref
2214
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
109
ref
110
ref
2213
remove
nil
cons
cons
111
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2212
remove
nil
cons
cons
41
ref
2211
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
2210
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2204
ref
refl
2216
def
996
remove
appThm
2204
ref
637
ref
662
remove
appTerm
315
ref
appTerm
appTerm
2205
ref
appTerm
29
ref
2207
ref
315
ref
appTerm
2217
def
444
ref
appTerm
appTerm
2218
def
appTerm
2219
def
refl
appThm
2204
remove
2209
remove
315
ref
appTerm
appTerm
2205
ref
appTerm
29
ref
2217
ref
999
remove
appTerm
appTerm
appTerm
2220
def
refl
appThm
nil
"t2"
10
ref
var
2221
def
2220
remove
nil
cons
cons
"t1"
10
ref
var
2222
def
2219
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
188
ref
1016
remove
subst
subst
2216
remove
980
remove
367
ref
appThm
1916
ref
trans
appThm
2205
ref
refl
appThm
2218
ref
refl
appThm
nil
2221
remove
2218
remove
nil
cons
cons
2222
remove
2205
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
188
remove
1925
remove
subst
subst
370
ref
2207
ref
refl
2223
def
1930
ref
appThm
1929
remove
appThm
2067
remove
nil
2068
remove
41
ref
142
ref
2207
ref
2069
remove
appTerm
444
ref
appTerm
appTerm
2207
ref
959
ref
appTerm
443
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2072
remove
491
ref
802
remove
2073
remove
1049
ref
2206
remove
2074
remove
constTerm
2224
def
685
ref
appTerm
810
remove
appTerm
appTerm
2224
ref
163
ref
appTerm
809
ref
appTerm
appTerm
appTerm
absTerm
2225
def
809
remove
appTerm
2226
def
betaConv
806
remove
815
ref
2225
ref
appTerm
2227
def
absTerm
2228
def
807
remove
appTerm
2229
def
betaConv
158
ref
115
ref
2228
ref
appTerm
2230
def
absTerm
2231
def
163
ref
appTerm
2232
def
betaConv
nil
171
ref
2231
ref
appTerm
2233
def
axiom
nil
40
ref
2233
remove
nil
cons
cons
41
ref
2232
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
2231
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2230
remove
nil
cons
cons
41
ref
2229
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2228
remove
nil
cons
cons
820
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2227
remove
nil
cons
cons
41
ref
2226
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2225
remove
nil
cons
cons
824
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2234
def
subst
eqMp
trans
2223
ref
2086
ref
appThm
2088
remove
appThm
2098
remove
nil
2099
remove
41
ref
142
ref
2207
ref
2100
remove
appTerm
443
ref
appTerm
appTerm
2207
ref
939
ref
appTerm
442
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2103
remove
2234
ref
subst
eqMp
trans
2223
ref
2104
ref
appThm
2106
remove
appThm
2115
remove
nil
2116
remove
41
ref
142
ref
2207
ref
2117
remove
appTerm
442
ref
appTerm
appTerm
2207
ref
919
ref
appTerm
441
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2120
remove
2234
ref
subst
eqMp
trans
2223
ref
2121
ref
appThm
2123
remove
appThm
2130
remove
nil
2131
remove
41
ref
142
ref
2207
ref
2132
remove
appTerm
441
ref
appTerm
appTerm
2207
ref
314
ref
appTerm
440
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2135
remove
2234
ref
subst
eqMp
trans
2223
ref
2136
ref
appThm
2138
remove
appThm
2147
remove
nil
2148
remove
41
ref
142
ref
2207
ref
2149
remove
appTerm
440
ref
appTerm
appTerm
2207
ref
879
ref
appTerm
439
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2152
remove
2234
ref
subst
eqMp
trans
2223
ref
2153
ref
appThm
2155
remove
appThm
2162
remove
nil
2163
remove
41
ref
142
ref
2207
ref
2164
remove
appTerm
439
ref
appTerm
appTerm
2207
ref
313
ref
appTerm
438
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2167
remove
2234
ref
subst
eqMp
trans
2223
ref
2168
ref
appThm
2170
remove
appThm
2177
remove
nil
2178
remove
41
ref
142
ref
2207
ref
2179
remove
appTerm
438
ref
appTerm
appTerm
2207
ref
312
ref
appTerm
437
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2182
remove
2234
ref
subst
eqMp
trans
2223
remove
775
ref
appThm
2184
remove
appThm
2189
remove
nil
2190
remove
41
ref
142
ref
2207
ref
691
remove
appTerm
437
ref
appTerm
appTerm
2207
remove
311
ref
appTerm
436
ref
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2193
remove
2234
remove
subst
eqMp
trans
2196
ref
491
ref
1058
remove
1049
ref
2224
remove
311
ref
appTerm
1059
ref
appTerm
appTerm
1059
ref
appTerm
absTerm
2235
def
1059
remove
appTerm
2236
def
betaConv
nil
815
ref
2235
ref
appTerm
2237
def
axiom
nil
40
ref
2237
remove
nil
cons
cons
41
ref
2236
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2235
remove
nil
cons
cons
1069
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
trans
trans
trans
trans
trans
trans
trans
trans
2238
def
appThm
trans
trans
trans
trans
trans
appThm
2196
ref
659
ref
subst
660
ref
661
ref
897
ref
appThm
2239
def
981
ref
appThm
637
remove
315
ref
appTerm
refl
2240
def
984
remove
appThm
2241
def
trans
nil
899
ref
1934
remove
cons
nil
cons
cons
2093
ref
subst
833
ref
nil
862
ref
1939
remove
cons
nil
cons
cons
2093
ref
subst
833
ref
nil
842
ref
1852
remove
cons
nil
cons
cons
2093
remove
subst
833
ref
nil
694
ref
1853
remove
cons
nil
cons
cons
1829
ref
163
ref
appTerm
2242
def
betaConv
1831
ref
737
remove
appTerm
2243
def
betaConv
1846
remove
1849
remove
789
remove
subst
proveHyp
nil
40
ref
1848
remove
cons
41
ref
2243
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1831
remove
nil
cons
cons
749
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
1830
remove
nil
cons
cons
41
ref
2242
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
1829
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
833
remove
774
remove
792
remove
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
2244
def
nil
1944
ref
2203
ref
1027
ref
nil
cons
cons
cons
nil
cons
cons
2065
remove
subst
deductAntisym
2244
ref
eqMp
2245
def
trans
appThm
644
ref
436
ref
appTerm
2246
def
648
ref
650
ref
672
ref
appTerm
appTerm
appTerm
2247
def
refl
appThm
654
ref
436
ref
appTerm
2248
def
refl
appThm
nil
1000
ref
2248
remove
nil
cons
cons
1001
ref
2247
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
2246
ref
refl
2249
def
1018
ref
1020
ref
672
ref
refl
2250
def
appThm
1022
ref
897
ref
appThm
trans
2244
remove
nil
40
ref
162
ref
703
remove
315
ref
appTerm
315
ref
appTerm
appTerm
982
remove
appTerm
nil
cons
cons
41
ref
162
ref
1021
remove
315
ref
appTerm
appTerm
315
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1944
remove
1027
remove
2203
ref
nil
cons
2251
def
cons
cons
nil
cons
cons
1045
ref
subst
eqMp
2252
def
trans
appThm
1018
ref
1930
remove
appThm
nil
961
remove
1048
ref
cons
nil
cons
cons
491
ref
158
ref
1049
ref
1050
ref
685
remove
appTerm
appTerm
805
ref
121
ref
appTerm
1050
remove
163
ref
appTerm
appTerm
appTerm
absTerm
2253
def
163
ref
appTerm
2254
def
betaConv
120
ref
171
ref
2253
ref
appTerm
2255
def
absTerm
2256
def
121
ref
appTerm
2257
def
betaConv
nil
115
ref
2256
ref
appTerm
2258
def
axiom
nil
40
ref
2258
remove
nil
cons
cons
41
ref
2257
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2256
remove
nil
cons
cons
1054
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2255
remove
nil
cons
cons
41
ref
2254
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
ref
177
ref
2253
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2259
def
subst
trans
394
ref
647
ref
appTerm
2260
def
refl
2261
def
1018
ref
2086
remove
appThm
nil
940
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
2104
remove
appThm
nil
920
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
2121
remove
appThm
nil
899
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
2136
remove
appThm
nil
881
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
2153
remove
appThm
nil
862
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
2168
remove
appThm
nil
842
remove
1048
ref
cons
nil
cons
cons
2259
ref
subst
trans
2261
ref
1018
ref
775
remove
appThm
nil
694
remove
1048
remove
cons
nil
cons
cons
2259
remove
subst
trans
2261
ref
1055
ref
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
2262
def
trans
appThm
nil
25
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
428
ref
appTerm
2263
def
appTerm
2264
def
appTerm
2265
def
appTerm
2266
def
appTerm
2267
def
appTerm
2268
def
appTerm
2269
def
appTerm
2270
def
nil
cons
2271
def
cons
2272
def
896
remove
cons
nil
cons
cons
1070
ref
subst
1079
ref
nil
2272
ref
889
remove
cons
nil
cons
cons
1070
ref
subst
1080
ref
nil
2272
ref
877
remove
cons
nil
cons
cons
1070
ref
subst
1081
ref
nil
2272
ref
870
remove
cons
nil
cons
cons
1070
ref
subst
1082
ref
nil
2272
ref
859
remove
cons
nil
cons
cons
1070
ref
subst
1083
ref
nil
2272
ref
852
remove
cons
nil
cons
cons
1070
ref
subst
1084
ref
nil
2272
ref
839
remove
cons
nil
cons
cons
1070
ref
subst
1085
ref
nil
2272
ref
801
remove
cons
nil
cons
cons
1070
ref
subst
1086
ref
nil
2272
ref
nil
cons
nil
cons
cons
2273
def
1090
ref
subst
2274
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
trans
appThm
2275
def
appThm
nil
25
ref
412
ref
414
ref
416
ref
418
ref
420
ref
422
ref
424
ref
426
ref
2270
ref
appTerm
2276
def
appTerm
2277
def
appTerm
2278
def
appTerm
2279
def
appTerm
2280
def
appTerm
2281
def
appTerm
2282
def
appTerm
2283
def
nil
cons
2284
def
cons
nil
cons
nil
cons
cons
1100
ref
subst
660
ref
661
ref
162
ref
639
ref
2283
ref
appTerm
2285
def
appTerm
refl
664
ref
162
ref
639
ref
2282
ref
appTerm
2286
def
appTerm
refl
664
ref
162
ref
639
ref
2281
ref
appTerm
2287
def
appTerm
refl
664
ref
162
ref
639
ref
2280
ref
appTerm
2288
def
appTerm
refl
664
ref
162
ref
639
ref
2279
ref
appTerm
2289
def
appTerm
refl
664
ref
162
ref
639
ref
2278
ref
appTerm
2290
def
appTerm
refl
664
ref
162
ref
639
ref
2277
ref
appTerm
2291
def
appTerm
refl
664
ref
162
ref
639
ref
2276
ref
appTerm
2292
def
appTerm
refl
664
ref
162
ref
639
ref
2270
ref
appTerm
2293
def
appTerm
2294
def
refl
664
ref
162
ref
639
ref
2269
ref
appTerm
appTerm
2295
def
refl
664
ref
162
ref
639
ref
2268
ref
appTerm
appTerm
2296
def
refl
664
ref
162
ref
639
ref
2267
ref
appTerm
appTerm
2297
def
refl
664
ref
162
ref
639
ref
2266
ref
appTerm
appTerm
2298
def
refl
664
ref
162
ref
639
ref
2265
ref
appTerm
appTerm
2299
def
refl
664
ref
162
ref
639
ref
2264
ref
appTerm
appTerm
2300
def
refl
664
ref
162
ref
639
ref
2263
ref
appTerm
appTerm
2301
def
refl
793
ref
appThm
nil
796
ref
797
ref
1047
ref
cons
nil
cons
2302
def
cons
2303
def
nil
cons
cons
825
ref
subst
eqMp
2304
def
appThm
834
ref
trans
appThm
nil
794
ref
2263
ref
nil
cons
2305
def
cons
2302
ref
cons
2306
def
nil
cons
cons
825
ref
subst
eqMp
2307
def
appThm
847
ref
trans
appThm
nil
794
ref
2264
ref
nil
cons
2308
def
cons
2302
ref
cons
2309
def
nil
cons
cons
825
ref
subst
eqMp
2310
def
appThm
854
ref
trans
appThm
nil
794
ref
2265
ref
nil
cons
2311
def
cons
2302
ref
cons
2312
def
nil
cons
cons
825
ref
subst
eqMp
2313
def
appThm
865
ref
trans
appThm
nil
794
ref
2266
ref
nil
cons
2314
def
cons
2302
ref
cons
2315
def
nil
cons
cons
825
ref
subst
eqMp
2316
def
appThm
872
ref
trans
appThm
nil
794
ref
2267
ref
nil
cons
2317
def
cons
2302
ref
cons
2318
def
nil
cons
cons
825
ref
subst
eqMp
2319
def
appThm
884
ref
trans
appThm
nil
794
ref
2268
ref
nil
cons
2320
def
cons
2302
ref
cons
2321
def
nil
cons
cons
825
ref
subst
eqMp
2322
def
appThm
891
ref
trans
appThm
nil
794
ref
2269
ref
nil
cons
2323
def
cons
2302
ref
cons
2324
def
nil
cons
cons
825
ref
subst
eqMp
2325
def
appThm
902
ref
trans
2326
def
appThm
nil
794
ref
2271
ref
cons
2327
def
800
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2328
def
appThm
911
ref
trans
appThm
nil
794
ref
2276
ref
nil
cons
cons
2329
def
838
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2330
def
appThm
923
ref
trans
appThm
nil
794
ref
2277
ref
nil
cons
cons
2331
def
851
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2332
def
appThm
931
ref
trans
appThm
nil
794
ref
2278
ref
nil
cons
cons
2333
def
858
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2334
def
appThm
943
ref
trans
appThm
nil
794
ref
2279
ref
nil
cons
cons
2335
def
869
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2336
def
appThm
951
ref
trans
appThm
nil
794
ref
2280
ref
nil
cons
cons
2337
def
876
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2338
def
appThm
964
ref
trans
appThm
nil
794
ref
2281
ref
nil
cons
cons
2339
def
888
remove
cons
nil
cons
cons
825
ref
subst
eqMp
2340
def
appThm
972
ref
trans
appThm
nil
794
ref
2282
ref
nil
cons
cons
2341
def
895
remove
cons
nil
cons
cons
825
ref
subst
eqMp
appThm
1101
ref
appThm
1103
remove
trans
1916
remove
trans
appThm
644
ref
2283
ref
appTerm
648
ref
1095
ref
2285
remove
appTerm
appTerm
appTerm
2342
def
refl
appThm
1096
ref
2283
ref
appTerm
2343
def
refl
appThm
nil
1000
ref
2343
remove
nil
cons
cons
1001
ref
2342
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1926
remove
subst
1928
remove
2283
ref
refl
2344
def
appThm
1931
remove
2344
remove
appThm
1933
remove
2340
remove
appThm
2066
remove
trans
sym
80
ref
eqMp
nil
40
ref
1932
remove
2286
remove
appTerm
nil
cons
cons
41
ref
142
ref
2070
remove
2283
ref
appTerm
appTerm
412
remove
2071
remove
2282
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2341
remove
894
remove
962
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1079
ref
2087
remove
2282
ref
refl
appThm
2090
remove
2338
remove
appThm
2097
remove
trans
sym
80
ref
eqMp
nil
40
ref
2089
remove
2287
remove
appTerm
nil
cons
cons
41
ref
142
ref
2101
remove
2282
remove
appTerm
appTerm
414
remove
2102
remove
2281
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2339
remove
887
remove
941
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1080
ref
2105
remove
2281
ref
refl
appThm
2108
remove
2336
remove
appThm
2114
remove
trans
sym
80
ref
eqMp
nil
40
ref
2107
remove
2288
remove
appTerm
nil
cons
cons
41
ref
142
ref
2118
remove
2281
remove
appTerm
appTerm
416
remove
2119
remove
2280
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2337
remove
875
remove
921
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1081
ref
2122
remove
2280
ref
refl
appThm
2125
remove
2334
remove
appThm
2129
remove
trans
sym
80
ref
eqMp
nil
40
ref
2124
remove
2289
remove
appTerm
nil
cons
cons
41
ref
142
ref
2133
remove
2280
remove
appTerm
appTerm
418
remove
2134
remove
2279
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2335
remove
868
remove
900
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1082
ref
2137
remove
2279
ref
refl
appThm
2140
remove
2332
remove
appThm
2146
remove
trans
sym
80
ref
eqMp
nil
40
ref
2139
remove
2290
remove
appTerm
nil
cons
cons
41
ref
142
ref
2150
remove
2279
remove
appTerm
appTerm
420
remove
2151
remove
2278
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2333
remove
857
remove
882
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1083
ref
2154
remove
2278
ref
refl
appThm
2157
remove
2330
remove
appThm
2161
remove
trans
sym
80
ref
eqMp
nil
40
ref
2156
remove
2291
remove
appTerm
nil
cons
cons
41
ref
142
ref
2165
remove
2278
remove
appTerm
appTerm
422
remove
2166
remove
2277
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2331
remove
850
remove
863
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1084
ref
2169
remove
2277
ref
refl
appThm
2172
remove
2328
remove
appThm
2176
remove
trans
sym
80
ref
eqMp
nil
40
ref
2171
remove
2292
remove
appTerm
nil
cons
cons
41
ref
142
ref
2180
remove
2277
remove
appTerm
appTerm
424
remove
2181
remove
2276
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2329
remove
837
remove
843
remove
cons
cons
nil
cons
cons
2085
ref
subst
eqMp
trans
1085
ref
2183
remove
2276
ref
refl
appThm
2186
remove
2325
ref
appThm
2188
remove
trans
sym
80
ref
eqMp
nil
40
ref
2185
remove
2293
remove
appTerm
nil
cons
cons
41
ref
142
ref
2191
remove
2276
remove
appTerm
appTerm
426
remove
2192
remove
2270
ref
appTerm
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2327
ref
799
remove
695
remove
cons
cons
nil
cons
cons
2085
remove
subst
eqMp
trans
1086
ref
2273
remove
2200
remove
subst
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
2345
def
trans
appThm
appThm
367
ref
appThm
nil
2203
ref
2195
remove
cons
nil
cons
cons
158
ref
12
ref
308
ref
31
remove
appTerm
163
ref
appTerm
appTerm
29
ref
644
ref
648
ref
163
ref
appTerm
appTerm
30
ref
appTerm
appTerm
appTerm
absTerm
2346
def
163
remove
appTerm
2347
def
betaConv
25
ref
171
remove
2346
ref
appTerm
2348
def
absTerm
2349
def
30
remove
appTerm
2350
def
betaConv
nil
38
remove
2349
ref
appTerm
2351
def
axiom
nil
40
ref
2351
remove
nil
cons
cons
41
ref
2350
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
109
remove
110
remove
2349
remove
nil
cons
cons
111
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2348
remove
nil
cons
cons
41
ref
2347
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
176
remove
177
remove
2346
remove
nil
cons
cons
180
ref
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
2352
def
subst
370
ref
644
ref
refl
2353
def
2262
ref
appThm
2354
def
436
ref
refl
appThm
nil
2194
ref
2324
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2321
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2318
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2315
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2312
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2309
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
ref
2306
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
2194
remove
2303
ref
cons
nil
cons
cons
1070
ref
subst
2261
ref
2196
ref
1090
ref
subst
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
appThm
trans
trans
appThm
nil
"l2"
24
ref
var
2355
def
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
436
ref
appTerm
2356
def
appTerm
2357
def
appTerm
2358
def
appTerm
2359
def
appTerm
2360
def
appTerm
2361
def
appTerm
2362
def
appTerm
2363
def
nil
cons
2364
def
cons
"l1"
24
remove
var
2365
def
396
ref
398
ref
400
ref
402
ref
404
ref
406
ref
408
ref
410
ref
428
ref
appTerm
2366
def
appTerm
2367
def
appTerm
2368
def
appTerm
2369
def
appTerm
2370
def
appTerm
2371
def
appTerm
2372
def
appTerm
2373
def
nil
cons
2374
def
cons
nil
cons
2375
def
cons
nil
cons
cons
"w2"
10
ref
var
2376
def
12
ref
306
ref
29
ref
2365
ref
varTerm
2377
def
appTerm
2378
def
appTerm
2376
ref
varTerm
2379
def
appTerm
appTerm
29
ref
"Data.List.zipWith"
const
2380
def
1
ref
43
remove
635
remove
cons
opType
constTerm
1283
ref
appTerm
2381
def
218
ref
2378
ref
appTerm
2382
def
appTerm
218
ref
2379
ref
appTerm
2383
def
appTerm
appTerm
appTerm
absTerm
2384
def
29
ref
2355
ref
varTerm
2385
def
appTerm
2386
def
appTerm
2387
def
betaConv
"w1"
10
ref
var
2388
def
209
ref
2376
ref
12
ref
306
ref
2388
ref
varTerm
2389
def
appTerm
2379
ref
appTerm
appTerm
29
ref
2381
ref
218
ref
2389
ref
appTerm
2390
def
appTerm
2383
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2391
def
2378
ref
appTerm
2392
def
betaConv
nil
209
ref
2391
ref
appTerm
2393
def
axiom
nil
40
ref
2393
remove
nil
cons
cons
41
ref
2392
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
2391
remove
nil
cons
cons
185
ref
2378
ref
nil
cons
cons
nil
cons
2394
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
209
ref
2384
ref
appTerm
nil
cons
cons
41
ref
2387
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
2384
remove
nil
cons
cons
185
remove
2386
ref
nil
cons
cons
nil
cons
2395
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
2396
def
subst
370
ref
2381
ref
refl
nil
25
ref
2374
remove
cons
nil
cons
nil
cons
cons
2397
def
659
ref
subst
660
ref
661
ref
162
ref
639
ref
2373
ref
appTerm
2398
def
appTerm
refl
664
ref
162
ref
639
ref
2372
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2371
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2370
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2369
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2368
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2367
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
2366
ref
appTerm
appTerm
refl
793
ref
appThm
nil
796
ref
908
ref
cons
2399
def
nil
cons
cons
825
ref
subst
eqMp
appThm
834
ref
trans
appThm
nil
794
ref
2366
ref
nil
cons
2400
def
cons
916
ref
cons
2401
def
nil
cons
cons
825
ref
subst
eqMp
appThm
847
ref
trans
appThm
nil
794
ref
2367
ref
nil
cons
2402
def
cons
928
ref
cons
2403
def
nil
cons
cons
825
ref
subst
eqMp
appThm
854
ref
trans
appThm
nil
794
ref
2368
ref
nil
cons
2404
def
cons
936
ref
cons
2405
def
nil
cons
cons
825
ref
subst
eqMp
appThm
865
ref
trans
appThm
nil
794
ref
2369
ref
nil
cons
2406
def
cons
948
ref
cons
2407
def
nil
cons
cons
825
ref
subst
eqMp
appThm
872
ref
trans
appThm
nil
794
ref
2370
ref
nil
cons
2408
def
cons
956
ref
cons
2409
def
nil
cons
cons
825
ref
subst
eqMp
appThm
884
ref
trans
appThm
nil
794
ref
2371
ref
nil
cons
2410
def
cons
969
ref
cons
2411
def
nil
cons
cons
825
ref
subst
eqMp
appThm
891
ref
trans
appThm
nil
794
ref
2372
ref
nil
cons
2412
def
cons
977
ref
cons
2413
def
nil
cons
cons
825
ref
subst
eqMp
2414
def
appThm
2415
def
981
ref
appThm
2241
remove
trans
2245
remove
trans
appThm
644
ref
2373
ref
appTerm
2416
def
648
ref
650
ref
2398
ref
appTerm
appTerm
appTerm
2417
def
refl
appThm
654
ref
2373
ref
appTerm
2418
def
refl
appThm
nil
1000
ref
2418
remove
nil
cons
cons
1001
ref
2417
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
2416
ref
refl
2419
def
1018
ref
1020
ref
2398
ref
refl
2420
def
appThm
1022
ref
2414
ref
appThm
trans
2252
remove
trans
appThm
2262
remove
trans
appThm
nil
2272
ref
2413
ref
cons
nil
cons
cons
1070
ref
subst
1071
ref
nil
2272
ref
2411
ref
cons
nil
cons
cons
1070
ref
subst
1072
ref
nil
2272
ref
2409
ref
cons
nil
cons
cons
1070
ref
subst
1073
ref
nil
2272
ref
2407
ref
cons
nil
cons
cons
1070
ref
subst
1074
ref
nil
2272
ref
2405
ref
cons
nil
cons
cons
1070
ref
subst
1075
ref
nil
2272
ref
2403
ref
cons
nil
cons
cons
1070
ref
subst
1076
ref
nil
2272
ref
2401
ref
cons
nil
cons
cons
1070
ref
subst
1077
ref
nil
2272
remove
2399
ref
cons
nil
cons
cons
1070
ref
subst
1078
ref
2274
remove
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
appThm
2421
def
218
ref
29
ref
2363
ref
appTerm
appTerm
refl
appThm
2381
ref
396
ref
398
ref
400
ref
402
ref
404
ref
406
ref
408
ref
410
ref
2270
ref
appTerm
2422
def
appTerm
2423
def
appTerm
2424
def
appTerm
2425
def
appTerm
2426
def
appTerm
2427
def
appTerm
2428
def
appTerm
appTerm
2429
def
refl
2430
def
nil
25
ref
2364
remove
cons
nil
cons
nil
cons
cons
659
ref
subst
660
ref
661
ref
162
ref
639
ref
2363
ref
appTerm
2431
def
appTerm
refl
664
ref
162
ref
639
ref
2362
ref
appTerm
2432
def
appTerm
refl
664
ref
162
ref
639
ref
2361
ref
appTerm
2433
def
appTerm
refl
664
ref
162
ref
639
ref
2360
ref
appTerm
2434
def
appTerm
refl
664
ref
162
ref
639
ref
2359
ref
appTerm
2435
def
appTerm
refl
664
ref
162
ref
639
ref
2358
ref
appTerm
2436
def
appTerm
refl
664
ref
162
ref
639
ref
2357
ref
appTerm
2437
def
appTerm
refl
664
ref
162
ref
639
ref
2356
ref
appTerm
2438
def
appTerm
refl
903
remove
appThm
nil
905
remove
2302
ref
cons
2439
def
nil
cons
cons
825
ref
subst
eqMp
2440
def
appThm
911
ref
trans
appThm
nil
794
ref
2356
ref
nil
cons
2441
def
cons
2302
ref
cons
2442
def
nil
cons
cons
825
ref
subst
eqMp
2443
def
appThm
923
ref
trans
appThm
nil
794
ref
2357
ref
nil
cons
2444
def
cons
2302
ref
cons
2445
def
nil
cons
cons
825
ref
subst
eqMp
2446
def
appThm
931
ref
trans
appThm
nil
794
ref
2358
ref
nil
cons
2447
def
cons
2302
ref
cons
2448
def
nil
cons
cons
825
ref
subst
eqMp
2449
def
appThm
943
ref
trans
appThm
nil
794
ref
2359
ref
nil
cons
2450
def
cons
2302
ref
cons
2451
def
nil
cons
cons
825
ref
subst
eqMp
2452
def
appThm
951
ref
trans
appThm
nil
794
ref
2360
ref
nil
cons
2453
def
cons
2302
ref
cons
2454
def
nil
cons
cons
825
ref
subst
eqMp
2455
def
appThm
964
ref
trans
appThm
nil
794
ref
2361
ref
nil
cons
2456
def
cons
2302
ref
cons
2457
def
nil
cons
cons
825
ref
subst
eqMp
2458
def
appThm
972
ref
trans
appThm
nil
794
ref
2362
ref
nil
cons
2459
def
cons
2302
ref
cons
2460
def
nil
cons
cons
825
ref
subst
eqMp
2461
def
appThm
981
ref
appThm
985
ref
trans
995
ref
trans
appThm
644
ref
2363
ref
appTerm
2462
def
648
ref
650
ref
2431
ref
appTerm
appTerm
appTerm
2463
def
refl
appThm
654
ref
2363
ref
appTerm
2464
def
refl
appThm
nil
1000
ref
2464
remove
nil
cons
cons
1001
ref
2463
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
2462
remove
refl
1018
ref
1020
ref
2431
remove
refl
appThm
1022
ref
2461
remove
appThm
trans
1046
ref
trans
appThm
1055
ref
trans
appThm
nil
1056
ref
2460
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2457
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2454
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2451
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2448
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2445
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2442
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
2439
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
1092
ref
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
appThm
trans
710
ref
162
ref
639
ref
2428
ref
appTerm
appTerm
2465
def
refl
664
ref
162
ref
639
ref
2427
ref
appTerm
appTerm
2466
def
refl
664
ref
162
ref
639
ref
2426
ref
appTerm
appTerm
2467
def
refl
664
ref
162
ref
639
ref
2425
ref
appTerm
appTerm
2468
def
refl
664
ref
162
ref
639
ref
2424
ref
appTerm
appTerm
2469
def
refl
664
ref
162
ref
639
ref
2423
ref
appTerm
appTerm
2470
def
refl
664
ref
162
ref
639
ref
2422
ref
appTerm
appTerm
2471
def
refl
2326
remove
appThm
nil
2327
remove
908
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2472
def
appThm
911
ref
trans
appThm
nil
794
ref
2422
ref
nil
cons
2473
def
cons
916
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2474
def
appThm
923
ref
trans
appThm
nil
794
ref
2423
ref
nil
cons
2475
def
cons
928
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2476
def
appThm
931
ref
trans
appThm
nil
794
ref
2424
ref
nil
cons
2477
def
cons
936
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2478
def
appThm
943
ref
trans
appThm
nil
794
ref
2425
ref
nil
cons
2479
def
cons
948
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2480
def
appThm
951
ref
trans
appThm
nil
794
ref
2426
ref
nil
cons
2481
def
cons
956
ref
cons
nil
cons
cons
825
ref
subst
eqMp
2482
def
appThm
964
ref
trans
appThm
nil
794
ref
2427
ref
nil
cons
2483
def
cons
969
ref
cons
nil
cons
cons
825
ref
subst
eqMp
appThm
2484
def
2432
ref
refl
appThm
162
ref
1945
remove
appTerm
refl
2485
def
2458
remove
appThm
trans
nil
158
ref
1946
remove
cons
nil
cons
nil
cons
cons
nil
180
remove
nil
cons
cons
688
remove
subst
2486
def
subst
2487
def
trans
sym
80
ref
eqMp
nil
40
ref
2465
ref
2432
remove
appTerm
nil
cons
cons
41
ref
142
ref
2429
ref
2363
remove
appTerm
appTerm
394
ref
1283
ref
395
ref
appTerm
647
ref
appTerm
appTerm
2488
def
2381
ref
2428
ref
appTerm
2489
def
2362
remove
appTerm
2490
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2459
remove
cons
"h2"
3
ref
var
2491
def
1047
ref
cons
2492
def
1001
ref
2428
remove
nil
cons
cons
"h1"
3
ref
var
2493
def
975
ref
cons
2494
def
63
remove
1283
ref
nil
cons
cons
nil
cons
2495
def
cons
cons
cons
2496
def
cons
nil
cons
cons
200
remove
1362
remove
"C"
4
ref
cons
nil
cons
cons
cons
187
ref
cons
2497
def
"t2"
23
ref
283
remove
opType
2498
def
var
2499
def
45
ref
162
ref
681
remove
"t1"
680
ref
var
2500
def
varTerm
2501
def
appTerm
appTerm
638
remove
1
ref
2498
ref
17
remove
cons
opType
constTerm
2499
remove
varTerm
2502
def
appTerm
appTerm
appTerm
9
remove
1
ref
23
remove
"C"
varType
2503
def
nil
cons
2504
def
opType
2505
def
1
ref
2505
ref
4
ref
cons
opType
nil
cons
cons
opType
constTerm
2506
def
2380
remove
1
ref
1
ref
112
ref
1
ref
282
ref
2504
remove
cons
opType
nil
cons
cons
opType
2507
def
1
ref
680
ref
1
ref
2498
ref
2505
ref
nil
cons
2508
def
cons
opType
nil
cons
cons
opType
nil
cons
cons
opType
constTerm
"f"
2507
ref
var
2509
def
varTerm
2510
def
appTerm
2511
def
805
ref
"h1"
112
ref
var
2512
def
varTerm
2513
def
appTerm
2501
ref
appTerm
2514
def
appTerm
392
ref
1
ref
282
ref
1
ref
2498
ref
2498
ref
nil
cons
2515
def
cons
opType
nil
cons
cons
opType
constTerm
"h2"
282
ref
var
2516
def
varTerm
2517
def
appTerm
2502
ref
appTerm
appTerm
appTerm
392
remove
1
ref
2503
remove
1
ref
2505
ref
2508
remove
cons
opType
nil
cons
cons
opType
constTerm
2510
ref
2513
ref
appTerm
2517
ref
appTerm
appTerm
2511
ref
2501
ref
appTerm
2502
ref
appTerm
appTerm
appTerm
appTerm
absTerm
2518
def
2502
ref
appTerm
2519
def
betaConv
2500
ref
0
ref
1
ref
1
ref
2498
ref
4
ref
cons
opType
2520
def
4
ref
cons
opType
constTerm
2518
ref
appTerm
2521
def
absTerm
2522
def
2501
ref
appTerm
2523
def
betaConv
2516
remove
815
ref
2522
ref
appTerm
2524
def
absTerm
2525
def
2517
ref
appTerm
2526
def
betaConv
2512
ref
347
ref
2525
ref
appTerm
2527
def
absTerm
2528
def
2513
ref
appTerm
2529
def
betaConv
2509
ref
115
ref
2528
ref
appTerm
2530
def
absTerm
2531
def
2510
ref
appTerm
2532
def
betaConv
nil
0
remove
1
ref
1
remove
2507
ref
4
ref
cons
opType
2533
def
4
remove
cons
opType
constTerm
2534
def
2531
ref
appTerm
2535
def
axiom
nil
40
ref
2535
remove
nil
cons
cons
41
ref
2532
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
2507
ref
nil
cons
cons
nil
cons
2536
def
"P"
2533
remove
var
2537
def
2531
remove
nil
cons
cons
"x"
2507
remove
var
2510
ref
nil
cons
cons
nil
cons
2538
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2530
remove
nil
cons
cons
41
ref
2529
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2528
remove
nil
cons
cons
120
ref
2513
ref
nil
cons
cons
nil
cons
2539
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2527
remove
nil
cons
cons
41
ref
2526
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
355
ref
356
ref
2525
remove
nil
cons
cons
357
ref
2517
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2524
remove
nil
cons
cons
41
ref
2523
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2522
remove
nil
cons
cons
823
ref
2501
ref
nil
cons
cons
nil
cons
2540
def
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2521
remove
nil
cons
cons
41
ref
2519
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
"A"
2515
remove
cons
nil
cons
"P"
2520
remove
var
2518
remove
nil
cons
cons
"x"
2498
ref
var
2502
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2541
def
subst
eqMp
394
ref
refl
2542
def
nil
74
ref
975
ref
cons
nil
cons
nil
cons
cons
2543
def
1725
ref
subst
appThm
2544
def
2490
ref
refl
appThm
trans
1071
ref
710
ref
2482
remove
appThm
2545
def
2433
ref
refl
appThm
162
ref
2095
remove
appTerm
refl
2546
def
2455
remove
appThm
trans
nil
158
ref
2096
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2547
def
trans
sym
80
ref
eqMp
nil
40
ref
2466
ref
2433
remove
appTerm
nil
cons
cons
41
ref
142
ref
2490
remove
appTerm
394
ref
1283
ref
397
ref
appTerm
647
ref
appTerm
appTerm
2548
def
2381
ref
2427
remove
appTerm
2549
def
2361
remove
appTerm
2550
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2456
remove
cons
2492
ref
1001
ref
2483
remove
cons
2493
ref
967
ref
cons
2551
def
2495
ref
cons
cons
cons
2552
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
967
ref
cons
nil
cons
nil
cons
cons
2553
def
1725
ref
subst
appThm
2554
def
2550
ref
refl
appThm
trans
1072
ref
710
ref
2480
remove
appThm
2555
def
2434
ref
refl
appThm
162
ref
2112
remove
appTerm
refl
2556
def
2452
remove
appThm
trans
nil
158
ref
2113
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2557
def
trans
sym
80
ref
eqMp
nil
40
ref
2467
ref
2434
remove
appTerm
nil
cons
cons
41
ref
142
ref
2550
remove
appTerm
394
ref
1283
ref
399
ref
appTerm
647
ref
appTerm
appTerm
2558
def
2381
ref
2426
remove
appTerm
2559
def
2360
remove
appTerm
2560
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2453
remove
cons
2492
ref
1001
ref
2481
remove
cons
2493
ref
954
ref
cons
2561
def
2495
ref
cons
cons
cons
2562
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
954
ref
cons
nil
cons
nil
cons
cons
2563
def
1725
ref
subst
appThm
2564
def
2560
ref
refl
appThm
trans
1073
ref
710
ref
2478
remove
appThm
2565
def
2435
ref
refl
appThm
162
ref
2127
remove
appTerm
refl
2566
def
2449
remove
appThm
trans
nil
158
ref
2128
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2567
def
trans
sym
80
ref
eqMp
nil
40
ref
2468
ref
2435
remove
appTerm
nil
cons
cons
41
ref
142
ref
2560
remove
appTerm
394
ref
1283
ref
401
ref
appTerm
647
ref
appTerm
appTerm
2568
def
2381
ref
2425
remove
appTerm
2569
def
2359
remove
appTerm
2570
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2450
remove
cons
2492
ref
1001
ref
2479
remove
cons
2493
ref
946
ref
cons
2571
def
2495
ref
cons
cons
cons
2572
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
946
ref
cons
nil
cons
nil
cons
cons
2573
def
1725
ref
subst
appThm
2574
def
2570
ref
refl
appThm
trans
1074
ref
710
ref
2476
remove
appThm
2575
def
2436
ref
refl
appThm
162
ref
2144
remove
appTerm
refl
2576
def
2446
remove
appThm
trans
nil
158
ref
2145
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2577
def
trans
sym
80
ref
eqMp
nil
40
ref
2469
ref
2436
remove
appTerm
nil
cons
cons
41
ref
142
ref
2570
remove
appTerm
394
ref
1283
ref
403
ref
appTerm
647
ref
appTerm
appTerm
2578
def
2381
ref
2424
remove
appTerm
2579
def
2358
remove
appTerm
2580
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2447
remove
cons
2492
ref
1001
ref
2477
remove
cons
2493
ref
934
ref
cons
2581
def
2495
ref
cons
cons
cons
2582
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
934
ref
cons
nil
cons
nil
cons
cons
2583
def
1725
ref
subst
appThm
2584
def
2580
ref
refl
appThm
trans
1075
ref
710
ref
2474
remove
appThm
2585
def
2437
ref
refl
appThm
162
ref
2159
remove
appTerm
refl
2586
def
2443
remove
appThm
trans
nil
158
ref
2160
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2587
def
trans
sym
80
ref
eqMp
nil
40
ref
2470
ref
2437
remove
appTerm
nil
cons
cons
41
ref
142
ref
2580
remove
appTerm
394
ref
1283
ref
405
ref
appTerm
647
ref
appTerm
appTerm
2588
def
2381
ref
2423
remove
appTerm
2589
def
2357
remove
appTerm
2590
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2444
remove
cons
2492
ref
1001
ref
2475
remove
cons
2493
ref
926
ref
cons
2591
def
2495
ref
cons
cons
cons
2592
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
926
ref
cons
nil
cons
nil
cons
cons
2593
def
1725
ref
subst
appThm
2594
def
2590
ref
refl
appThm
trans
1076
ref
710
ref
2472
remove
appThm
2595
def
2438
ref
refl
appThm
162
ref
2174
remove
appTerm
refl
2596
def
2440
remove
appThm
trans
nil
158
remove
2175
remove
cons
nil
cons
nil
cons
cons
2486
ref
subst
2597
def
trans
sym
80
ref
eqMp
nil
40
ref
2471
ref
2438
remove
appTerm
nil
cons
cons
41
ref
142
ref
2590
remove
appTerm
394
ref
1283
ref
407
ref
appTerm
647
ref
appTerm
appTerm
2598
def
2381
ref
2422
remove
appTerm
2599
def
2356
remove
appTerm
2600
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
2441
remove
cons
2492
ref
1001
ref
2473
remove
cons
2493
ref
914
ref
cons
2601
def
2495
ref
cons
cons
cons
2602
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
914
ref
cons
nil
cons
nil
cons
cons
2603
def
1725
ref
subst
appThm
2604
def
2600
ref
refl
appThm
trans
1077
ref
710
ref
2325
remove
appThm
2605
def
2250
ref
appThm
162
ref
315
ref
appTerm
refl
2606
def
897
ref
appThm
trans
nil
2251
ref
nil
cons
cons
2607
def
2486
ref
subst
2608
def
trans
sym
80
ref
eqMp
nil
40
ref
2294
ref
672
ref
appTerm
nil
cons
cons
41
ref
142
ref
2600
remove
appTerm
394
ref
1283
remove
409
ref
appTerm
647
remove
appTerm
appTerm
2609
def
2381
ref
2270
remove
appTerm
2610
def
436
ref
appTerm
2611
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
904
ref
cons
2612
def
2492
remove
1001
ref
2271
remove
cons
2493
ref
906
ref
cons
2613
def
2495
ref
cons
cons
cons
2614
def
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
906
ref
cons
nil
cons
nil
cons
cons
2615
def
1725
remove
subst
appThm
2616
def
2611
ref
refl
appThm
trans
1078
ref
710
ref
2322
remove
appThm
2617
def
673
ref
refl
appThm
162
ref
959
remove
appTerm
refl
2618
def
890
remove
appThm
trans
963
remove
2486
ref
subst
2619
def
trans
sym
80
ref
eqMp
nil
40
ref
2295
ref
673
remove
appTerm
nil
cons
cons
41
ref
142
ref
2611
remove
appTerm
394
ref
1329
ref
411
remove
appTerm
appTerm
2381
ref
2269
remove
appTerm
2620
def
435
ref
appTerm
2621
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
892
ref
cons
2622
def
2491
ref
893
ref
cons
2623
def
1001
ref
2323
remove
cons
2493
ref
1047
remove
cons
2495
ref
cons
2624
def
cons
2625
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
893
ref
cons
nil
cons
nil
cons
cons
2626
def
1333
ref
subst
appThm
2621
ref
refl
appThm
trans
1079
remove
710
ref
2319
remove
appThm
2627
def
674
ref
refl
appThm
162
ref
939
remove
appTerm
refl
2628
def
878
remove
appThm
trans
942
remove
2486
ref
subst
2629
def
trans
sym
80
ref
eqMp
nil
40
ref
2296
ref
674
remove
appTerm
nil
cons
cons
41
ref
142
ref
2621
remove
appTerm
394
ref
1329
ref
413
remove
appTerm
appTerm
2381
ref
2268
remove
appTerm
2630
def
434
ref
appTerm
2631
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
885
ref
cons
2632
def
2491
ref
886
ref
cons
2633
def
1001
ref
2320
remove
cons
2624
ref
cons
2634
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
886
ref
cons
nil
cons
nil
cons
cons
2635
def
1333
ref
subst
appThm
2631
ref
refl
appThm
trans
1080
remove
710
ref
2316
remove
appThm
2636
def
675
ref
refl
appThm
162
ref
919
remove
appTerm
refl
2637
def
871
remove
appThm
trans
922
remove
2486
ref
subst
2638
def
trans
sym
80
ref
eqMp
nil
40
ref
2297
ref
675
remove
appTerm
nil
cons
cons
41
ref
142
ref
2631
remove
appTerm
394
ref
1329
ref
415
remove
appTerm
appTerm
2381
ref
2267
remove
appTerm
2639
def
433
ref
appTerm
2640
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
873
ref
cons
2641
def
2491
ref
874
ref
cons
2642
def
1001
ref
2317
remove
cons
2624
ref
cons
2643
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
874
ref
cons
nil
cons
nil
cons
cons
2644
def
1333
ref
subst
appThm
2640
ref
refl
appThm
trans
1081
remove
710
ref
2313
remove
appThm
2645
def
676
ref
refl
appThm
162
ref
314
remove
appTerm
refl
2646
def
860
remove
appThm
trans
901
ref
2486
ref
subst
2647
def
trans
sym
80
ref
eqMp
nil
40
ref
2298
ref
676
remove
appTerm
nil
cons
cons
41
ref
142
ref
2640
remove
appTerm
394
ref
1329
ref
417
remove
appTerm
appTerm
2381
ref
2266
remove
appTerm
2648
def
432
ref
appTerm
2649
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
866
ref
cons
2650
def
2491
ref
867
ref
cons
2651
def
1001
ref
2314
remove
cons
2624
ref
cons
2652
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
867
ref
cons
nil
cons
nil
cons
cons
2653
def
1333
ref
subst
appThm
2649
ref
refl
appThm
trans
1082
remove
710
ref
2310
remove
appThm
2654
def
677
ref
refl
appThm
162
ref
879
remove
appTerm
refl
2655
def
853
remove
appThm
trans
883
remove
2486
ref
subst
2656
def
trans
sym
80
ref
eqMp
nil
40
ref
2299
ref
677
remove
appTerm
nil
cons
cons
41
ref
142
ref
2649
remove
appTerm
394
ref
1329
ref
419
remove
appTerm
appTerm
2381
ref
2265
remove
appTerm
2657
def
431
ref
appTerm
2658
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
855
ref
cons
2659
def
2491
ref
856
ref
cons
2660
def
1001
ref
2311
remove
cons
2624
ref
cons
2661
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
856
ref
cons
nil
cons
nil
cons
cons
2662
def
1333
ref
subst
appThm
2658
ref
refl
appThm
trans
1083
remove
710
ref
2307
remove
appThm
2663
def
678
ref
refl
appThm
162
ref
313
remove
appTerm
refl
2664
def
840
remove
appThm
trans
864
remove
2486
ref
subst
2665
def
trans
sym
80
ref
eqMp
nil
40
ref
2300
ref
678
remove
appTerm
nil
cons
cons
41
ref
142
ref
2658
remove
appTerm
394
ref
1329
ref
421
remove
appTerm
appTerm
2381
ref
2264
remove
appTerm
2666
def
430
ref
appTerm
2667
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
848
ref
cons
2668
def
2491
ref
849
ref
cons
2669
def
1001
ref
2308
remove
cons
2624
ref
cons
2670
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
849
ref
cons
nil
cons
nil
cons
cons
2671
def
1333
ref
subst
appThm
2667
ref
refl
appThm
trans
1084
remove
710
remove
2304
remove
appThm
2672
def
679
ref
refl
appThm
162
ref
312
remove
appTerm
refl
2673
def
826
remove
appThm
trans
844
remove
2486
remove
subst
2674
def
trans
sym
80
ref
eqMp
nil
40
ref
2301
ref
679
remove
appTerm
nil
cons
cons
41
ref
142
ref
2667
remove
appTerm
394
ref
1329
ref
423
remove
appTerm
appTerm
2381
ref
2263
remove
appTerm
2675
def
429
ref
appTerm
2676
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
835
ref
cons
2677
def
2491
ref
836
ref
cons
2678
def
1001
ref
2305
remove
cons
2624
ref
cons
2679
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
836
ref
cons
nil
cons
nil
cons
cons
2680
def
1333
ref
subst
appThm
2676
ref
refl
appThm
trans
1085
remove
639
ref
428
ref
appTerm
2681
def
refl
2682
def
nil
40
ref
162
ref
2681
ref
appTerm
2681
remove
appTerm
nil
cons
cons
2683
def
41
ref
142
ref
2676
remove
appTerm
394
ref
1329
ref
425
remove
appTerm
appTerm
2381
remove
428
ref
appTerm
428
ref
appTerm
2684
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
795
ref
cons
2685
def
2491
ref
798
ref
cons
2686
def
1001
ref
795
remove
cons
2687
def
2624
remove
cons
2688
def
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
798
ref
cons
nil
cons
nil
cons
cons
2689
def
1333
ref
subst
appThm
2684
ref
refl
2690
def
appThm
trans
1086
remove
nil
2495
remove
nil
cons
cons
2497
remove
2509
remove
2506
remove
2511
remove
682
ref
appTerm
427
ref
2498
remove
constTerm
appTerm
appTerm
427
remove
2505
remove
constTerm
appTerm
absTerm
2691
def
2510
remove
appTerm
2692
def
betaConv
nil
2534
remove
2691
ref
appTerm
2693
def
axiom
nil
40
ref
2693
remove
nil
cons
cons
41
ref
2692
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
2536
remove
2537
remove
2691
remove
nil
cons
cons
2538
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
2694
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
appThm
trans
trans
appThm
nil
2355
ref
630
ref
cons
2695
def
2365
ref
630
remove
cons
nil
cons
cons
nil
cons
cons
2376
ref
44
ref
142
ref
2382
remove
appTerm
2383
ref
appTerm
appTerm
12
ref
2378
ref
appTerm
2379
ref
appTerm
appTerm
absTerm
2696
def
2386
remove
appTerm
2697
def
betaConv
2388
remove
209
ref
2376
remove
44
ref
142
ref
2390
remove
appTerm
2383
remove
appTerm
appTerm
12
ref
2389
remove
appTerm
2379
remove
appTerm
appTerm
absTerm
appTerm
absTerm
2698
def
2378
remove
appTerm
2699
def
betaConv
nil
209
ref
2698
ref
appTerm
2700
def
axiom
nil
40
ref
2700
remove
nil
cons
cons
41
ref
2699
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
ref
229
ref
2698
remove
nil
cons
cons
2394
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
209
ref
2696
ref
appTerm
nil
cons
cons
41
ref
2697
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
186
remove
229
ref
2696
remove
nil
cons
cons
2395
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
sym
2701
def
subst
142
ref
refl
2702
def
1093
ref
appThm
625
ref
refl
appThm
trans
142
ref
444
ref
appTerm
refl
1093
ref
appThm
trans
nil
1000
ref
973
ref
cons
2491
ref
975
remove
cons
2703
def
1001
ref
973
remove
cons
2494
remove
nil
cons
2704
def
cons
cons
cons
nil
cons
cons
491
ref
"t2"
680
remove
var
2705
def
44
ref
1049
ref
2514
remove
appTerm
805
remove
"h2"
112
ref
var
2706
def
varTerm
2707
def
appTerm
2705
remove
varTerm
2708
def
appTerm
appTerm
appTerm
50
ref
190
ref
2513
ref
appTerm
2707
ref
appTerm
appTerm
1049
ref
2501
ref
appTerm
2708
ref
appTerm
appTerm
appTerm
absTerm
2709
def
2708
ref
appTerm
2710
def
betaConv
2500
remove
815
ref
2709
ref
appTerm
2711
def
absTerm
2712
def
2501
remove
appTerm
2713
def
betaConv
2706
remove
815
ref
2712
ref
appTerm
2714
def
absTerm
2715
def
2707
ref
appTerm
2716
def
betaConv
2512
remove
115
ref
2715
ref
appTerm
2717
def
absTerm
2718
def
2513
remove
appTerm
2719
def
betaConv
nil
115
ref
2718
ref
appTerm
2720
def
axiom
nil
40
ref
2720
remove
nil
cons
cons
41
ref
2719
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2718
remove
nil
cons
cons
2539
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2717
remove
nil
cons
cons
41
ref
2716
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
2715
remove
nil
cons
cons
120
ref
2707
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2714
remove
nil
cons
cons
41
ref
2713
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2712
remove
nil
cons
cons
2540
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
2711
remove
nil
cons
cons
41
ref
2710
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
ref
822
ref
2709
remove
nil
cons
cons
823
ref
2708
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
2721
def
subst
683
ref
2543
remove
203
ref
44
ref
44
ref
203
ref
varTerm
2722
def
appTerm
2722
ref
appTerm
appTerm
66
ref
appTerm
absTerm
2723
def
77
remove
appTerm
2724
def
betaConv
491
ref
nil
116
ref
120
ref
44
ref
192
ref
appTerm
66
remove
appTerm
2725
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
253
ref
subst
120
ref
nil
74
ref
2725
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
193
remove
eqMp
absThm
eqMp
subst
nil
40
ref
198
ref
2723
ref
appTerm
nil
cons
cons
41
ref
2724
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2723
remove
nil
cons
cons
204
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
2726
def
subst
appThm
2727
def
142
ref
443
ref
appTerm
443
remove
appTerm
refl
appThm
trans
777
remove
refl
2728
def
nil
1000
ref
965
ref
cons
2491
ref
967
remove
cons
2729
def
1001
ref
965
remove
cons
2551
remove
nil
cons
2730
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2553
remove
2726
ref
subst
appThm
2731
def
142
ref
442
ref
appTerm
442
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
952
ref
cons
2491
ref
954
remove
cons
2732
def
1001
ref
952
remove
cons
2561
remove
nil
cons
2733
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2563
remove
2726
ref
subst
appThm
2734
def
142
ref
441
ref
appTerm
441
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
944
ref
cons
2491
ref
946
remove
cons
2735
def
1001
ref
944
remove
cons
2571
remove
nil
cons
2736
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2573
remove
2726
ref
subst
appThm
2737
def
142
ref
440
ref
appTerm
440
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
932
ref
cons
2491
ref
934
remove
cons
2738
def
1001
ref
932
remove
cons
2581
remove
nil
cons
2739
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2583
remove
2726
ref
subst
appThm
2740
def
142
ref
439
ref
appTerm
439
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
924
ref
cons
2491
ref
926
remove
cons
2741
def
1001
ref
924
remove
cons
2591
remove
nil
cons
2742
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2593
remove
2726
ref
subst
appThm
2743
def
142
ref
438
ref
appTerm
438
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
912
ref
cons
2491
ref
914
remove
cons
2744
def
1001
ref
912
remove
cons
2601
remove
nil
cons
2745
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2603
remove
2726
ref
subst
appThm
2746
def
142
ref
437
ref
appTerm
437
remove
appTerm
refl
appThm
trans
2728
ref
nil
2612
remove
2491
ref
906
remove
cons
2747
def
1001
ref
904
ref
cons
2613
remove
nil
cons
2748
def
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2615
remove
2726
ref
subst
appThm
2749
def
142
ref
436
ref
appTerm
2750
def
436
ref
appTerm
refl
appThm
trans
2728
ref
nil
2622
remove
2623
remove
1001
ref
892
remove
cons
2493
ref
893
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2626
remove
2726
ref
subst
appThm
142
ref
435
ref
appTerm
435
remove
appTerm
refl
appThm
trans
2728
ref
nil
2632
remove
2633
remove
1001
ref
885
remove
cons
2493
ref
886
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2635
remove
2726
ref
subst
appThm
142
ref
434
ref
appTerm
434
remove
appTerm
refl
appThm
trans
2728
ref
nil
2641
remove
2642
remove
1001
ref
873
remove
cons
2493
ref
874
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2644
remove
2726
ref
subst
appThm
142
ref
433
ref
appTerm
433
remove
appTerm
refl
appThm
trans
2728
ref
nil
2650
remove
2651
remove
1001
ref
866
remove
cons
2493
ref
867
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2653
remove
2726
ref
subst
appThm
142
ref
432
ref
appTerm
432
remove
appTerm
refl
appThm
trans
2728
ref
nil
2659
remove
2660
remove
1001
ref
855
remove
cons
2493
ref
856
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2662
remove
2726
ref
subst
appThm
142
ref
431
ref
appTerm
431
remove
appTerm
refl
appThm
trans
2728
ref
nil
2668
remove
2669
remove
1001
ref
848
remove
cons
2493
ref
849
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2671
remove
2726
ref
subst
appThm
142
ref
430
ref
appTerm
430
remove
appTerm
refl
appThm
trans
2728
ref
nil
2677
remove
2678
remove
1001
ref
835
remove
cons
2493
ref
836
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2680
remove
2726
ref
subst
appThm
142
ref
429
ref
appTerm
429
remove
appTerm
refl
appThm
trans
2728
ref
nil
2685
ref
2686
remove
2687
ref
2493
ref
798
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
2689
remove
2726
ref
subst
appThm
142
ref
428
ref
appTerm
428
ref
appTerm
refl
2751
def
appThm
trans
2728
ref
491
remove
nil
74
ref
1049
ref
682
ref
appTerm
682
ref
appTerm
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
823
ref
1049
remove
823
ref
varTerm
2752
def
appTerm
2752
remove
appTerm
absTerm
2753
def
682
ref
appTerm
2754
def
betaConv
821
ref
187
remove
cons
nil
115
ref
120
ref
192
remove
absTerm
appTerm
axiom
subst
nil
40
ref
815
remove
2753
ref
appTerm
nil
cons
cons
41
ref
2754
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
821
remove
822
remove
2753
remove
nil
cons
cons
823
remove
682
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
subst
appThm
2755
def
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
2756
def
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
trans
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
617
remove
cons
2757
def
88
ref
486
remove
cons
nil
cons
2758
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
613
remove
cons
2759
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
447
ref
2722
ref
appTerm
appTerm
2760
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
448
remove
appTerm
2761
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
447
remove
nil
cons
cons
2762
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
605
remove
cons
2763
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
449
ref
2722
ref
appTerm
appTerm
2764
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
450
remove
appTerm
2765
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
449
remove
nil
cons
cons
2766
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
597
remove
cons
2767
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
451
ref
2722
ref
appTerm
appTerm
2768
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
452
remove
appTerm
2769
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
451
remove
nil
cons
cons
2770
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
589
remove
cons
2771
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
453
ref
2722
ref
appTerm
appTerm
2772
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
454
remove
appTerm
2773
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
453
remove
nil
cons
cons
2774
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
581
remove
cons
2775
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
455
ref
2722
ref
appTerm
appTerm
2776
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
456
remove
appTerm
2777
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
455
remove
nil
cons
cons
2778
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
573
remove
cons
2779
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
457
ref
2722
ref
appTerm
appTerm
2780
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
458
remove
appTerm
2781
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
457
remove
nil
cons
cons
2782
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
565
remove
cons
2783
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
459
ref
2722
ref
appTerm
appTerm
2784
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
460
remove
appTerm
2785
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
459
remove
nil
cons
cons
2786
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
557
remove
cons
2787
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
461
ref
2722
ref
appTerm
appTerm
2788
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
462
remove
appTerm
2789
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
461
remove
nil
cons
cons
2790
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
549
remove
cons
2791
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
463
ref
2722
ref
appTerm
appTerm
2792
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
464
remove
appTerm
2793
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
463
remove
nil
cons
cons
2794
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
541
remove
cons
2795
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
465
ref
2722
ref
appTerm
appTerm
2796
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
466
remove
appTerm
2797
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
465
remove
nil
cons
cons
2798
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
533
remove
cons
2799
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
467
ref
2722
ref
appTerm
appTerm
2800
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
468
remove
appTerm
2801
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
467
remove
nil
cons
cons
2802
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
525
remove
cons
2803
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
469
ref
2722
ref
appTerm
appTerm
2804
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
470
remove
appTerm
2805
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
469
remove
nil
cons
cons
2806
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
517
remove
cons
2807
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
471
ref
2722
ref
appTerm
appTerm
2808
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
472
remove
appTerm
2809
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
471
remove
nil
cons
cons
2810
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
509
remove
cons
2811
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
473
ref
2722
ref
appTerm
appTerm
2812
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
474
remove
appTerm
2813
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
473
remove
nil
cons
cons
2814
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
501
remove
cons
2815
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
475
ref
2722
ref
appTerm
appTerm
2816
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
476
remove
appTerm
2817
def
485
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
475
remove
nil
cons
cons
2818
def
2758
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
493
remove
cons
2819
def
2758
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
477
ref
2722
ref
appTerm
appTerm
2820
def
485
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
478
remove
appTerm
2821
def
485
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
477
remove
nil
cons
cons
2822
def
2758
remove
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
eqMp
eqMp
eqMp
153
ref
154
ref
274
remove
nil
cons
cons
155
ref
303
remove
cons
nil
cons
cons
nil
cons
cons
1799
remove
sym
nil
202
ref
88
ref
45
ref
1779
remove
appTerm
93
remove
appTerm
2823
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
88
ref
nil
74
ref
2823
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
1791
ref
61
ref
subst
1791
remove
125
ref
subst
nil
40
ref
123
remove
cons
1789
remove
cons
nil
cons
cons
108
ref
subst
1778
ref
121
remove
appTerm
2824
def
betaConv
nil
1781
remove
41
ref
2824
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
353
ref
116
ref
1778
remove
nil
cons
cons
1054
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
1803
remove
1802
remove
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
eqMp
2825
def
subst
proveHyp
eqMp
153
ref
154
ref
268
ref
nil
cons
cons
2826
def
155
ref
304
remove
cons
nil
cons
cons
nil
cons
cons
2825
ref
subst
proveHyp
2827
def
nil
40
ref
240
remove
268
ref
appTerm
2828
def
nil
cons
2829
def
cons
41
ref
255
ref
cons
nil
cons
2830
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
154
ref
241
ref
45
ref
268
ref
245
ref
appTerm
2831
def
appTerm
251
ref
appTerm
2832
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
195
remove
253
remove
subst
2833
def
subst
241
ref
nil
74
ref
2832
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2831
ref
nil
cons
2834
def
cons
2830
ref
cons
nil
cons
cons
2835
def
61
ref
subst
2835
remove
125
ref
subst
2831
ref
betaConv
2831
remove
assume
eqMp
nil
40
ref
267
ref
nil
cons
cons
2830
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
154
ref
242
ref
45
ref
266
ref
246
ref
appTerm
2836
def
appTerm
251
ref
appTerm
2837
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
2833
ref
subst
242
ref
nil
74
ref
2837
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2836
ref
nil
cons
2838
def
cons
2830
ref
cons
nil
cons
cons
2839
def
61
ref
subst
2839
remove
125
ref
subst
2836
ref
betaConv
2836
remove
assume
eqMp
nil
40
ref
265
remove
nil
cons
2840
def
cons
2830
remove
cons
nil
cons
cons
2841
def
108
ref
subst
proveHyp
2841
ref
61
ref
subst
2841
remove
125
ref
subst
nil
87
ref
248
ref
nil
cons
cons
88
ref
264
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
102
ref
subst
250
ref
245
ref
appTerm
betaConv
sym
249
ref
246
ref
appTerm
betaConv
sym
248
remove
assume
eqMp
153
ref
154
ref
249
remove
nil
cons
cons
325
ref
cons
nil
cons
cons
2825
ref
subst
proveHyp
eqMp
153
ref
154
ref
250
remove
nil
cons
cons
323
ref
cons
nil
cons
cons
2825
remove
subst
proveHyp
proveHyp
eqMp
nil
87
ref
2840
remove
cons
88
ref
255
remove
cons
nil
cons
2842
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
2838
remove
cons
2842
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
7
ref
155
ref
45
ref
266
ref
155
ref
varTerm
2843
def
appTerm
appTerm
251
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
267
remove
appTerm
251
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
266
remove
nil
cons
cons
2842
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2834
remove
cons
2842
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
7
ref
155
ref
45
ref
268
remove
2843
remove
appTerm
appTerm
251
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2828
ref
appTerm
251
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
2826
remove
2842
remove
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
absThm
eqMp
nil
209
ref
252
remove
appTerm
thm
nil
154
ref
241
ref
7
ref
242
ref
12
ref
29
ref
644
ref
27
ref
245
ref
appTerm
2844
def
appTerm
27
ref
246
ref
appTerm
2845
def
appTerm
appTerm
appTerm
2846
def
247
remove
appTerm
2847
def
absTerm
2848
def
appTerm
2849
def
absTerm
2850
def
nil
cons
cons
nil
cons
nil
cons
cons
2833
ref
subst
241
remove
nil
74
ref
2849
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
154
ref
2848
remove
nil
cons
cons
nil
cons
nil
cons
cons
2833
remove
subst
242
remove
nil
74
ref
2847
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
2846
ref
refl
326
remove
327
ref
nil
8
ref
322
remove
cons
nil
cons
nil
cons
cons
369
ref
subst
appThm
359
ref
nil
8
ref
324
remove
cons
nil
cons
nil
cons
cons
369
remove
subst
appThm
367
ref
appThm
appThm
trans
appThm
sym
8
ref
375
ref
376
ref
375
ref
377
ref
375
ref
378
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
211
ref
19
remove
appTerm
220
ref
2373
ref
appTerm
2851
def
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2852
def
245
ref
appTerm
2853
def
betaConv
nil
7
ref
2852
ref
appTerm
2854
def
axiom
2855
def
nil
40
ref
2854
remove
nil
cons
cons
2856
def
41
ref
2853
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
2852
ref
nil
cons
cons
2857
def
323
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
375
ref
376
ref
375
ref
377
ref
375
ref
378
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
211
ref
245
ref
appTerm
2851
ref
appTerm
2858
def
absTerm
2859
def
appTerm
2860
def
absTerm
2861
def
appTerm
2862
def
absTerm
2863
def
appTerm
2864
def
absTerm
2865
def
appTerm
2866
def
absTerm
2867
def
appTerm
2868
def
absTerm
2869
def
appTerm
2870
def
absTerm
2871
def
appTerm
2872
def
absTerm
2873
def
appTerm
2874
def
nil
cons
cons
41
ref
2846
remove
306
ref
29
ref
2844
remove
appTerm
appTerm
308
ref
29
ref
2845
ref
appTerm
appTerm
315
ref
appTerm
2875
def
appTerm
appTerm
2876
def
nil
cons
2877
def
cons
nil
cons
2878
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
376
ref
45
ref
2873
ref
395
remove
appTerm
2879
def
appTerm
2876
ref
appTerm
2880
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
376
ref
nil
74
ref
2880
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2879
ref
nil
cons
2881
def
cons
2878
ref
cons
nil
cons
cons
2882
def
61
ref
subst
2882
remove
125
ref
subst
2879
ref
betaConv
2879
remove
assume
eqMp
nil
40
ref
2872
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
377
ref
45
ref
2871
ref
397
remove
appTerm
2883
def
appTerm
2876
ref
appTerm
2884
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
377
ref
nil
74
ref
2884
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2883
ref
nil
cons
2885
def
cons
2878
ref
cons
nil
cons
cons
2886
def
61
ref
subst
2886
remove
125
ref
subst
2883
ref
betaConv
2883
remove
assume
eqMp
nil
40
ref
2870
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
378
ref
45
ref
2869
ref
399
remove
appTerm
2887
def
appTerm
2876
ref
appTerm
2888
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
378
ref
nil
74
ref
2888
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2887
ref
nil
cons
2889
def
cons
2878
ref
cons
nil
cons
cons
2890
def
61
ref
subst
2890
remove
125
ref
subst
2887
ref
betaConv
2887
remove
assume
eqMp
nil
40
ref
2868
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
379
ref
45
ref
2867
ref
401
remove
appTerm
2891
def
appTerm
2876
ref
appTerm
2892
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
379
ref
nil
74
ref
2892
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2891
ref
nil
cons
2893
def
cons
2878
ref
cons
nil
cons
cons
2894
def
61
ref
subst
2894
remove
125
ref
subst
2891
ref
betaConv
2891
remove
assume
eqMp
nil
40
ref
2866
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
380
ref
45
ref
2865
ref
403
remove
appTerm
2895
def
appTerm
2876
ref
appTerm
2896
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
380
ref
nil
74
ref
2896
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2895
ref
nil
cons
2897
def
cons
2878
ref
cons
nil
cons
cons
2898
def
61
ref
subst
2898
remove
125
ref
subst
2895
ref
betaConv
2895
remove
assume
eqMp
nil
40
ref
2864
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
381
ref
45
ref
2863
ref
405
remove
appTerm
2899
def
appTerm
2876
ref
appTerm
2900
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
381
ref
nil
74
ref
2900
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2899
ref
nil
cons
2901
def
cons
2878
ref
cons
nil
cons
cons
2902
def
61
ref
subst
2902
remove
125
ref
subst
2899
ref
betaConv
2899
remove
assume
eqMp
nil
40
ref
2862
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
382
ref
45
ref
2861
ref
407
remove
appTerm
2903
def
appTerm
2876
ref
appTerm
2904
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
382
ref
nil
74
ref
2904
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2903
ref
nil
cons
2905
def
cons
2878
ref
cons
nil
cons
cons
2906
def
61
ref
subst
2906
remove
125
ref
subst
2903
ref
betaConv
2903
remove
assume
eqMp
nil
40
ref
2860
ref
nil
cons
cons
2878
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
383
ref
45
ref
2859
ref
409
remove
appTerm
2907
def
appTerm
2876
ref
appTerm
2908
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
383
ref
nil
74
ref
2908
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2907
ref
nil
cons
2909
def
cons
2878
ref
cons
nil
cons
cons
2910
def
61
ref
subst
2910
remove
125
ref
subst
2907
ref
betaConv
2907
remove
assume
eqMp
nil
40
ref
2858
ref
nil
cons
2911
def
cons
2878
remove
cons
nil
cons
cons
2912
def
108
ref
subst
proveHyp
2912
ref
61
ref
subst
2912
remove
125
ref
subst
44
ref
"_31111"
2
ref
var
2913
def
12
ref
29
ref
644
ref
27
ref
2913
remove
varTerm
appTerm
2914
def
appTerm
2845
ref
appTerm
appTerm
appTerm
306
ref
29
ref
2914
remove
appTerm
appTerm
2875
ref
appTerm
appTerm
absTerm
2915
def
245
remove
appTerm
2916
def
appTerm
refl
2915
ref
2851
ref
appTerm
betaConv
appThm
90
ref
2916
remove
betaConv
appThm
12
ref
29
ref
644
ref
27
ref
2851
ref
appTerm
2917
def
appTerm
2918
def
2845
remove
appTerm
appTerm
appTerm
306
remove
29
ref
2917
remove
appTerm
appTerm
2919
def
2875
remove
appTerm
appTerm
2920
def
refl
appThm
trans
2915
remove
refl
2858
remove
assume
appThm
eqMp
sym
2852
remove
246
ref
appTerm
2921
def
betaConv
2855
remove
nil
2856
remove
41
ref
2921
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
2857
remove
325
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
375
ref
376
ref
375
ref
377
ref
375
ref
378
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
211
ref
246
ref
appTerm
2922
def
2851
remove
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2923
def
appTerm
2924
def
nil
cons
cons
41
ref
2920
ref
nil
cons
2925
def
cons
nil
cons
2926
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x0'"
3
ref
var
2927
def
45
ref
2923
ref
2927
ref
varTerm
2928
def
appTerm
2929
def
appTerm
2920
ref
appTerm
2930
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2927
remove
nil
74
ref
2930
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2929
ref
nil
cons
2931
def
cons
2926
ref
cons
nil
cons
cons
2932
def
61
ref
subst
2932
remove
125
ref
subst
2929
ref
betaConv
2929
remove
assume
eqMp
nil
40
ref
375
ref
377
ref
375
ref
378
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
394
ref
2928
ref
appTerm
2933
def
2372
ref
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2934
def
appTerm
2935
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x1'"
3
ref
var
2936
def
45
ref
2934
ref
2936
ref
varTerm
2937
def
appTerm
2938
def
appTerm
2920
ref
appTerm
2939
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2936
remove
nil
74
ref
2939
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2938
ref
nil
cons
2940
def
cons
2926
ref
cons
nil
cons
cons
2941
def
61
ref
subst
2941
remove
125
ref
subst
2938
ref
betaConv
2938
remove
assume
eqMp
nil
40
ref
375
ref
378
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
2933
ref
394
ref
2937
ref
appTerm
2942
def
2371
ref
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2943
def
appTerm
2944
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x2'"
3
ref
var
2945
def
45
ref
2943
ref
2945
ref
varTerm
2946
def
appTerm
2947
def
appTerm
2920
ref
appTerm
2948
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2945
remove
nil
74
ref
2948
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2947
ref
nil
cons
2949
def
cons
2926
ref
cons
nil
cons
cons
2950
def
61
ref
subst
2950
remove
125
ref
subst
2947
ref
betaConv
2947
remove
assume
eqMp
nil
40
ref
375
ref
379
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
2933
ref
2942
ref
394
ref
2946
ref
appTerm
2951
def
2370
ref
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2952
def
appTerm
2953
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x3'"
3
ref
var
2954
def
45
ref
2952
ref
2954
ref
varTerm
2955
def
appTerm
2956
def
appTerm
2920
ref
appTerm
2957
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2954
remove
nil
74
ref
2957
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2956
ref
nil
cons
2958
def
cons
2926
ref
cons
nil
cons
cons
2959
def
61
ref
subst
2959
remove
125
ref
subst
2956
ref
betaConv
2956
remove
assume
eqMp
nil
40
ref
375
ref
380
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
2933
ref
2942
ref
2951
ref
394
ref
2955
ref
appTerm
2960
def
2369
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2961
def
appTerm
2962
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x4'"
3
ref
var
2963
def
45
ref
2961
ref
2963
ref
varTerm
2964
def
appTerm
2965
def
appTerm
2920
ref
appTerm
2966
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2963
remove
nil
74
ref
2966
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2965
ref
nil
cons
2967
def
cons
2926
ref
cons
nil
cons
cons
2968
def
61
ref
subst
2968
remove
125
ref
subst
2965
ref
betaConv
2965
remove
assume
eqMp
nil
40
ref
375
ref
381
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
2933
ref
2942
ref
2951
ref
2960
ref
394
ref
2964
ref
appTerm
2969
def
2368
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
appTerm
absTerm
2970
def
appTerm
2971
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x5'"
3
ref
var
2972
def
45
ref
2970
ref
2972
ref
varTerm
2973
def
appTerm
2974
def
appTerm
2920
ref
appTerm
2975
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2972
remove
nil
74
ref
2975
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2974
ref
nil
cons
2976
def
cons
2926
ref
cons
nil
cons
cons
2977
def
61
ref
subst
2977
remove
125
ref
subst
2974
ref
betaConv
2974
remove
assume
eqMp
nil
40
ref
375
ref
382
ref
375
ref
383
ref
2922
ref
220
ref
2933
ref
2942
ref
2951
ref
2960
ref
2969
ref
394
ref
2973
ref
appTerm
2978
def
2367
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
appTerm
absTerm
2979
def
appTerm
2980
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x6'"
3
ref
var
2981
def
45
ref
2979
ref
2981
ref
varTerm
2982
def
appTerm
2983
def
appTerm
2920
ref
appTerm
2984
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2981
remove
nil
74
ref
2984
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2983
ref
nil
cons
2985
def
cons
2926
ref
cons
nil
cons
cons
2986
def
61
ref
subst
2986
remove
125
ref
subst
2983
ref
betaConv
2983
remove
assume
eqMp
nil
40
ref
375
remove
383
ref
2922
ref
220
ref
2933
ref
2942
ref
2951
ref
2960
ref
2969
ref
2978
ref
394
ref
2982
ref
appTerm
2987
def
2366
ref
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
2988
def
appTerm
2989
def
nil
cons
cons
2926
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
"x7'"
3
remove
var
2990
def
45
ref
2988
ref
2990
ref
varTerm
2991
def
appTerm
2992
def
appTerm
2920
ref
appTerm
2993
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
2990
remove
nil
74
ref
2993
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
40
ref
2992
ref
nil
cons
2994
def
cons
2926
ref
cons
nil
cons
cons
2995
def
61
ref
subst
2995
remove
125
ref
subst
2992
ref
betaConv
2992
remove
assume
eqMp
nil
40
ref
2922
remove
220
ref
2933
ref
2942
ref
2951
ref
2960
ref
2969
ref
2978
ref
2987
ref
394
ref
2991
ref
appTerm
2996
def
428
remove
appTerm
2997
def
appTerm
2998
def
appTerm
2999
def
appTerm
3000
def
appTerm
3001
def
appTerm
3002
def
appTerm
3003
def
appTerm
3004
def
appTerm
3005
def
appTerm
3006
def
nil
cons
3007
def
cons
2926
remove
cons
nil
cons
cons
3008
def
108
ref
subst
proveHyp
3008
ref
61
ref
subst
3008
remove
125
ref
subst
44
ref
"_31113"
2
ref
var
3009
def
12
ref
29
ref
2918
ref
27
ref
3009
remove
varTerm
appTerm
3010
def
appTerm
appTerm
appTerm
2919
ref
308
ref
29
ref
3010
remove
appTerm
appTerm
315
ref
appTerm
appTerm
appTerm
absTerm
3011
def
246
remove
appTerm
3012
def
appTerm
refl
3011
ref
3005
ref
appTerm
betaConv
appThm
90
ref
3012
remove
betaConv
appThm
12
ref
29
ref
2918
remove
27
ref
3005
remove
appTerm
3013
def
appTerm
appTerm
appTerm
2919
remove
308
remove
29
ref
3013
remove
appTerm
appTerm
315
ref
appTerm
appTerm
appTerm
refl
appThm
trans
3011
remove
refl
3006
remove
assume
appThm
eqMp
sym
12
remove
refl
370
ref
2353
remove
2397
remove
1100
ref
subst
660
ref
2415
remove
1101
ref
appThm
2240
remove
1102
ref
appThm
3014
def
trans
2607
remove
994
remove
subst
3015
def
trans
appThm
2416
remove
648
ref
1095
ref
2398
remove
appTerm
appTerm
appTerm
3016
def
refl
appThm
1096
ref
2373
ref
appTerm
3017
def
refl
appThm
nil
1000
ref
3017
remove
nil
cons
cons
1001
ref
3016
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
2419
remove
1018
ref
1019
remove
1102
remove
appThm
3018
def
2420
remove
appThm
649
remove
315
ref
appTerm
3019
def
refl
3020
def
2414
remove
appThm
trans
901
remove
1024
remove
subst
nil
40
ref
162
ref
712
remove
315
ref
appTerm
appTerm
315
ref
appTerm
nil
cons
cons
41
ref
162
ref
3019
remove
315
ref
appTerm
appTerm
311
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1025
remove
1856
remove
2251
remove
cons
cons
nil
cons
cons
1045
remove
subst
eqMp
3021
def
trans
appThm
1055
ref
trans
appThm
nil
1056
ref
2413
ref
cons
nil
cons
cons
1070
ref
subst
1071
ref
nil
1056
ref
2411
ref
cons
nil
cons
cons
1070
ref
subst
1072
ref
nil
1056
ref
2409
ref
cons
nil
cons
cons
1070
ref
subst
1073
ref
nil
1056
ref
2407
ref
cons
nil
cons
cons
1070
ref
subst
1074
ref
nil
1056
ref
2405
ref
cons
nil
cons
cons
1070
ref
subst
1075
ref
nil
1056
ref
2403
ref
cons
nil
cons
cons
1070
ref
subst
1076
ref
nil
1056
ref
2401
ref
cons
nil
cons
cons
1070
ref
subst
1077
ref
nil
1056
ref
2399
ref
cons
nil
cons
cons
1070
ref
subst
1078
ref
1091
ref
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
3022
def
appThm
nil
25
ref
3004
ref
nil
cons
3023
def
cons
3024
def
nil
cons
3025
def
nil
cons
cons
3026
def
1100
ref
subst
660
ref
661
ref
162
ref
639
ref
3004
ref
appTerm
3027
def
appTerm
refl
664
ref
162
ref
639
ref
3003
ref
appTerm
3028
def
appTerm
refl
664
ref
162
ref
639
ref
3002
ref
appTerm
3029
def
appTerm
refl
664
ref
162
ref
639
ref
3001
ref
appTerm
3030
def
appTerm
refl
664
ref
162
ref
639
ref
3000
ref
appTerm
3031
def
appTerm
refl
664
ref
162
ref
639
ref
2999
ref
appTerm
3032
def
appTerm
refl
664
ref
162
ref
639
ref
2998
ref
appTerm
3033
def
appTerm
refl
664
ref
162
ref
639
ref
2997
ref
appTerm
3034
def
appTerm
refl
793
remove
appThm
nil
796
remove
797
ref
2991
ref
nil
cons
3035
def
cons
nil
cons
cons
3036
def
nil
cons
cons
825
ref
subst
eqMp
3037
def
appThm
834
remove
trans
appThm
nil
794
ref
2997
ref
nil
cons
3038
def
cons
797
ref
2982
ref
nil
cons
3039
def
cons
nil
cons
cons
3040
def
nil
cons
cons
825
ref
subst
eqMp
3041
def
appThm
847
remove
trans
appThm
nil
794
ref
2998
ref
nil
cons
3042
def
cons
797
ref
2973
ref
nil
cons
3043
def
cons
nil
cons
cons
3044
def
nil
cons
cons
825
ref
subst
eqMp
3045
def
appThm
854
remove
trans
appThm
nil
794
ref
2999
ref
nil
cons
3046
def
cons
797
ref
2964
ref
nil
cons
3047
def
cons
nil
cons
cons
3048
def
nil
cons
cons
825
ref
subst
eqMp
3049
def
appThm
865
remove
trans
appThm
nil
794
ref
3000
ref
nil
cons
3050
def
cons
797
ref
2955
ref
nil
cons
3051
def
cons
nil
cons
cons
3052
def
nil
cons
cons
825
ref
subst
eqMp
3053
def
appThm
872
remove
trans
appThm
nil
794
ref
3001
ref
nil
cons
3054
def
cons
797
ref
2946
ref
nil
cons
3055
def
cons
nil
cons
cons
3056
def
nil
cons
cons
825
ref
subst
eqMp
3057
def
appThm
884
remove
trans
appThm
nil
794
ref
3002
ref
nil
cons
3058
def
cons
797
ref
2937
ref
nil
cons
3059
def
cons
nil
cons
cons
3060
def
nil
cons
cons
825
ref
subst
eqMp
3061
def
appThm
891
remove
trans
appThm
nil
794
ref
3003
ref
nil
cons
3062
def
cons
797
remove
2928
ref
nil
cons
3063
def
cons
nil
cons
cons
3064
def
nil
cons
cons
825
ref
subst
eqMp
3065
def
appThm
1101
ref
appThm
3014
ref
trans
3015
ref
trans
appThm
644
ref
3004
ref
appTerm
3066
def
648
ref
1095
ref
3027
ref
appTerm
appTerm
appTerm
3067
def
refl
appThm
1096
ref
3004
ref
appTerm
3068
def
refl
appThm
nil
1000
ref
3068
remove
nil
cons
cons
1001
ref
3067
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
3066
remove
refl
1018
ref
3018
ref
3027
ref
refl
3069
def
appThm
3020
ref
3065
ref
appThm
trans
3021
ref
trans
appThm
1055
ref
trans
appThm
nil
1056
ref
3064
remove
cons
nil
cons
cons
1070
ref
subst
2933
remove
refl
3070
def
nil
1056
ref
3060
remove
cons
nil
cons
cons
1070
ref
subst
2942
remove
refl
3071
def
nil
1056
ref
3056
remove
cons
nil
cons
cons
1070
ref
subst
2951
remove
refl
3072
def
nil
1056
ref
3052
remove
cons
nil
cons
cons
1070
ref
subst
2960
remove
refl
3073
def
nil
1056
ref
3048
remove
cons
nil
cons
cons
1070
ref
subst
2969
remove
refl
3074
def
nil
1056
ref
3044
remove
cons
nil
cons
cons
1070
ref
subst
2978
remove
refl
3075
def
nil
1056
ref
3040
remove
cons
nil
cons
cons
1070
ref
subst
2987
remove
refl
3076
def
nil
1056
ref
3036
remove
cons
nil
cons
cons
1070
ref
subst
2996
remove
refl
3077
def
1091
remove
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
3078
def
trans
trans
trans
trans
3079
def
appThm
nil
3024
ref
2413
remove
cons
nil
cons
cons
1070
ref
subst
1071
ref
nil
3024
ref
2411
remove
cons
nil
cons
cons
1070
ref
subst
1072
ref
nil
3024
ref
2409
remove
cons
nil
cons
cons
1070
ref
subst
1073
ref
nil
3024
ref
2407
remove
cons
nil
cons
cons
1070
ref
subst
1074
ref
nil
3024
ref
2405
remove
cons
nil
cons
cons
1070
ref
subst
1075
ref
nil
3024
ref
2403
remove
cons
nil
cons
cons
1070
ref
subst
1076
ref
nil
3024
ref
2401
remove
cons
nil
cons
cons
1070
ref
subst
1077
ref
nil
3024
ref
2399
remove
cons
nil
cons
cons
1070
ref
subst
1078
ref
3026
remove
1090
remove
subst
3080
def
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
appThm
appThm
327
remove
370
ref
3022
ref
appThm
appThm
359
remove
370
ref
3079
remove
appThm
appThm
367
remove
appThm
nil
2203
remove
3025
remove
cons
nil
cons
cons
2352
remove
subst
370
ref
2354
remove
3004
ref
refl
appThm
nil
3024
ref
2324
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2321
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2318
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2315
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2312
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2309
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
ref
2306
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
3024
remove
2303
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
3080
remove
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
appThm
trans
trans
appThm
nil
2355
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
ref
2260
remove
3004
ref
appTerm
3081
def
appTerm
3082
def
appTerm
3083
def
appTerm
3084
def
appTerm
3085
def
appTerm
3086
def
appTerm
3087
def
appTerm
3088
def
nil
cons
3089
def
cons
2375
ref
cons
nil
cons
cons
2396
remove
subst
370
remove
2421
remove
218
ref
29
ref
3088
ref
appTerm
appTerm
refl
appThm
2430
remove
nil
25
ref
3089
remove
cons
nil
cons
nil
cons
cons
659
ref
subst
660
ref
661
ref
162
ref
639
ref
3088
ref
appTerm
3090
def
appTerm
refl
664
ref
162
ref
639
ref
3087
ref
appTerm
3091
def
appTerm
refl
664
ref
162
ref
639
ref
3086
ref
appTerm
3092
def
appTerm
refl
664
ref
162
ref
639
ref
3085
ref
appTerm
3093
def
appTerm
refl
664
ref
162
ref
639
ref
3084
ref
appTerm
3094
def
appTerm
refl
664
ref
162
ref
639
ref
3083
ref
appTerm
3095
def
appTerm
refl
664
ref
162
ref
639
ref
3082
ref
appTerm
3096
def
appTerm
refl
664
ref
162
ref
639
ref
3081
ref
appTerm
3097
def
appTerm
refl
664
ref
3065
ref
appThm
902
remove
trans
3098
def
appThm
nil
794
ref
3023
ref
cons
3099
def
2302
ref
cons
3100
def
nil
cons
cons
825
ref
subst
eqMp
3101
def
appThm
911
ref
trans
appThm
nil
794
ref
3081
ref
nil
cons
3102
def
cons
2302
ref
cons
3103
def
nil
cons
cons
825
ref
subst
eqMp
3104
def
appThm
923
ref
trans
appThm
nil
794
ref
3082
ref
nil
cons
3105
def
cons
2302
ref
cons
3106
def
nil
cons
cons
825
ref
subst
eqMp
3107
def
appThm
931
ref
trans
appThm
nil
794
ref
3083
ref
nil
cons
3108
def
cons
2302
ref
cons
3109
def
nil
cons
cons
825
ref
subst
eqMp
3110
def
appThm
943
ref
trans
appThm
nil
794
ref
3084
ref
nil
cons
3111
def
cons
2302
ref
cons
3112
def
nil
cons
cons
825
ref
subst
eqMp
3113
def
appThm
951
ref
trans
appThm
nil
794
ref
3085
ref
nil
cons
3114
def
cons
2302
ref
cons
3115
def
nil
cons
cons
825
ref
subst
eqMp
3116
def
appThm
964
ref
trans
appThm
nil
794
ref
3086
ref
nil
cons
3117
def
cons
2302
ref
cons
3118
def
nil
cons
cons
825
ref
subst
eqMp
3119
def
appThm
972
ref
trans
appThm
nil
794
ref
3087
ref
nil
cons
3120
def
cons
2302
remove
cons
3121
def
nil
cons
cons
825
ref
subst
eqMp
3122
def
appThm
981
ref
appThm
985
ref
trans
995
ref
trans
appThm
644
ref
3088
ref
appTerm
3123
def
648
ref
650
ref
3090
ref
appTerm
appTerm
appTerm
3124
def
refl
appThm
654
ref
3088
ref
appTerm
3125
def
refl
appThm
nil
1000
ref
3125
remove
nil
cons
cons
1001
ref
3124
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
3123
remove
refl
1018
ref
1020
ref
3090
remove
refl
appThm
1022
ref
3122
remove
appThm
trans
1046
ref
trans
appThm
1055
ref
trans
appThm
nil
1056
ref
3121
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3118
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3115
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3112
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3109
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3106
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3103
remove
cons
nil
cons
cons
1070
ref
subst
2261
ref
nil
1056
ref
3100
remove
cons
nil
cons
cons
1070
ref
subst
2261
remove
3078
ref
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
appThm
trans
2484
remove
3091
ref
refl
appThm
2485
remove
3119
remove
appThm
trans
2487
remove
trans
sym
80
ref
eqMp
nil
40
ref
2465
remove
3091
remove
appTerm
nil
cons
cons
41
ref
142
ref
2429
remove
3088
remove
appTerm
appTerm
2488
remove
2489
remove
3087
remove
appTerm
3126
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3120
remove
cons
2496
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2544
remove
3126
ref
refl
appThm
trans
1071
ref
2545
remove
3092
ref
refl
appThm
2546
remove
3116
remove
appThm
trans
2547
remove
trans
sym
80
ref
eqMp
nil
40
ref
2466
remove
3092
remove
appTerm
nil
cons
cons
41
ref
142
ref
3126
remove
appTerm
2548
remove
2549
remove
3086
remove
appTerm
3127
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3117
remove
cons
2552
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2554
remove
3127
ref
refl
appThm
trans
1072
ref
2555
remove
3093
ref
refl
appThm
2556
remove
3113
remove
appThm
trans
2557
remove
trans
sym
80
ref
eqMp
nil
40
ref
2467
remove
3093
remove
appTerm
nil
cons
cons
41
ref
142
ref
3127
remove
appTerm
2558
remove
2559
remove
3085
remove
appTerm
3128
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3114
remove
cons
2562
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2564
remove
3128
ref
refl
appThm
trans
1073
ref
2565
remove
3094
ref
refl
appThm
2566
remove
3110
remove
appThm
trans
2567
remove
trans
sym
80
ref
eqMp
nil
40
ref
2468
remove
3094
remove
appTerm
nil
cons
cons
41
ref
142
ref
3128
remove
appTerm
2568
remove
2569
remove
3084
remove
appTerm
3129
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3111
remove
cons
2572
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2574
remove
3129
ref
refl
appThm
trans
1074
ref
2575
remove
3095
ref
refl
appThm
2576
remove
3107
remove
appThm
trans
2577
remove
trans
sym
80
ref
eqMp
nil
40
ref
2469
remove
3095
remove
appTerm
nil
cons
cons
41
ref
142
ref
3129
remove
appTerm
2578
remove
2579
remove
3083
remove
appTerm
3130
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3108
remove
cons
2582
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2584
remove
3130
ref
refl
appThm
trans
1075
ref
2585
remove
3096
ref
refl
appThm
2586
remove
3104
remove
appThm
trans
2587
remove
trans
sym
80
ref
eqMp
nil
40
ref
2470
remove
3096
remove
appTerm
nil
cons
cons
41
ref
142
ref
3130
remove
appTerm
2588
remove
2589
remove
3082
remove
appTerm
3131
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3105
remove
cons
2592
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2594
remove
3131
ref
refl
appThm
trans
1076
ref
2595
remove
3097
ref
refl
appThm
2596
remove
3101
remove
appThm
trans
2597
remove
trans
sym
80
ref
eqMp
nil
40
ref
2471
remove
3097
remove
appTerm
nil
cons
cons
41
ref
142
ref
3131
remove
appTerm
2598
remove
2599
remove
3081
remove
appTerm
3132
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3102
remove
cons
2602
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2604
remove
3132
ref
refl
appThm
trans
1077
ref
2605
remove
3069
remove
appThm
2606
remove
3065
remove
appThm
trans
2608
remove
trans
sym
80
ref
eqMp
nil
40
ref
2294
remove
3027
remove
appTerm
nil
cons
cons
41
ref
142
ref
3132
remove
appTerm
2609
remove
2610
remove
3004
ref
appTerm
3133
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3023
ref
cons
3134
def
2614
remove
cons
nil
cons
cons
2541
ref
subst
eqMp
2616
remove
3133
ref
refl
appThm
trans
1078
ref
2617
remove
3028
ref
refl
appThm
2618
remove
3061
remove
appThm
trans
2619
remove
trans
sym
80
ref
eqMp
nil
40
ref
2295
remove
3028
remove
appTerm
nil
cons
cons
41
ref
142
ref
3133
remove
appTerm
394
ref
1329
ref
2928
remove
appTerm
appTerm
2620
remove
3003
ref
appTerm
3135
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3062
ref
cons
3136
def
2491
ref
3063
ref
cons
3137
def
2625
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3063
ref
cons
nil
cons
nil
cons
cons
3138
def
1333
ref
subst
appThm
3135
ref
refl
appThm
trans
3070
remove
2627
remove
3029
ref
refl
appThm
2628
remove
3057
remove
appThm
trans
2629
remove
trans
sym
80
ref
eqMp
nil
40
ref
2296
remove
3029
remove
appTerm
nil
cons
cons
41
ref
142
ref
3135
remove
appTerm
394
ref
1329
ref
2937
remove
appTerm
appTerm
2630
remove
3002
ref
appTerm
3139
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3058
ref
cons
3140
def
2491
ref
3059
ref
cons
3141
def
2634
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3059
ref
cons
nil
cons
nil
cons
cons
3142
def
1333
ref
subst
appThm
3139
ref
refl
appThm
trans
3071
remove
2636
remove
3030
ref
refl
appThm
2637
remove
3053
remove
appThm
trans
2638
remove
trans
sym
80
ref
eqMp
nil
40
ref
2297
remove
3030
remove
appTerm
nil
cons
cons
41
ref
142
ref
3139
remove
appTerm
394
ref
1329
ref
2946
remove
appTerm
appTerm
2639
remove
3001
ref
appTerm
3143
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3054
ref
cons
3144
def
2491
ref
3055
ref
cons
3145
def
2643
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3055
ref
cons
nil
cons
nil
cons
cons
3146
def
1333
ref
subst
appThm
3143
ref
refl
appThm
trans
3072
remove
2645
remove
3031
ref
refl
appThm
2646
remove
3049
remove
appThm
trans
2647
remove
trans
sym
80
ref
eqMp
nil
40
ref
2298
remove
3031
remove
appTerm
nil
cons
cons
41
ref
142
ref
3143
remove
appTerm
394
ref
1329
ref
2955
remove
appTerm
appTerm
2648
remove
3000
ref
appTerm
3147
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3050
ref
cons
3148
def
2491
ref
3051
ref
cons
3149
def
2652
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3051
ref
cons
nil
cons
nil
cons
cons
3150
def
1333
ref
subst
appThm
3147
ref
refl
appThm
trans
3073
remove
2654
remove
3032
ref
refl
appThm
2655
remove
3045
remove
appThm
trans
2656
remove
trans
sym
80
ref
eqMp
nil
40
ref
2299
remove
3032
remove
appTerm
nil
cons
cons
41
ref
142
ref
3147
remove
appTerm
394
ref
1329
ref
2964
remove
appTerm
appTerm
2657
remove
2999
ref
appTerm
3151
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3046
ref
cons
3152
def
2491
ref
3047
ref
cons
3153
def
2661
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3047
ref
cons
nil
cons
nil
cons
cons
3154
def
1333
ref
subst
appThm
3151
ref
refl
appThm
trans
3074
remove
2663
remove
3033
ref
refl
appThm
2664
remove
3041
remove
appThm
trans
2665
remove
trans
sym
80
ref
eqMp
nil
40
ref
2300
remove
3033
remove
appTerm
nil
cons
cons
41
ref
142
ref
3151
remove
appTerm
394
ref
1329
ref
2973
remove
appTerm
appTerm
2666
remove
2998
ref
appTerm
3155
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3042
ref
cons
3156
def
2491
ref
3043
ref
cons
3157
def
2670
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3043
ref
cons
nil
cons
nil
cons
cons
3158
def
1333
ref
subst
appThm
3155
ref
refl
appThm
trans
3075
remove
2672
remove
3034
ref
refl
appThm
2673
remove
3037
remove
appThm
trans
2674
remove
trans
sym
80
ref
eqMp
nil
40
ref
2301
remove
3034
remove
appTerm
nil
cons
cons
41
ref
142
ref
3155
remove
appTerm
394
ref
1329
ref
2982
remove
appTerm
appTerm
2675
remove
2997
ref
appTerm
3159
def
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
1000
ref
3038
ref
cons
3160
def
2491
ref
3039
ref
cons
3161
def
2679
remove
cons
cons
nil
cons
cons
2541
ref
subst
eqMp
2542
ref
nil
74
ref
3039
ref
cons
nil
cons
nil
cons
cons
3162
def
1333
ref
subst
appThm
3159
ref
refl
appThm
trans
3076
remove
2682
remove
nil
2683
remove
41
ref
142
ref
3159
remove
appTerm
394
remove
1329
remove
2991
remove
appTerm
appTerm
2684
remove
appTerm
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
2685
ref
2491
remove
3035
ref
cons
3163
def
2688
remove
cons
cons
nil
cons
cons
2541
remove
subst
eqMp
2542
remove
nil
74
ref
3035
ref
cons
nil
cons
nil
cons
cons
3164
def
1333
remove
subst
appThm
2690
remove
appThm
trans
3077
remove
2694
remove
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
appThm
trans
trans
appThm
nil
2355
ref
396
remove
398
remove
400
remove
402
remove
404
remove
406
remove
408
remove
410
remove
3004
ref
appTerm
3165
def
appTerm
3166
def
appTerm
3167
def
appTerm
3168
def
appTerm
3169
def
appTerm
3170
def
appTerm
3171
def
appTerm
3172
def
nil
cons
3173
def
cons
2365
ref
3173
ref
cons
nil
cons
cons
nil
cons
cons
2701
remove
subst
2702
ref
nil
25
remove
3173
remove
cons
nil
cons
nil
cons
cons
659
remove
subst
660
ref
661
remove
162
ref
639
ref
3172
ref
appTerm
3174
def
appTerm
refl
664
ref
162
ref
639
ref
3171
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
3170
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
3169
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
3168
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
3167
ref
appTerm
appTerm
refl
664
ref
162
ref
639
ref
3166
ref
appTerm
appTerm
refl
664
remove
162
remove
639
remove
3165
ref
appTerm
appTerm
refl
3098
remove
appThm
nil
3099
remove
908
remove
cons
3175
def
nil
cons
cons
825
ref
subst
eqMp
appThm
911
remove
trans
appThm
nil
794
ref
3165
ref
nil
cons
3176
def
cons
916
remove
cons
3177
def
nil
cons
cons
825
ref
subst
eqMp
appThm
923
remove
trans
appThm
nil
794
ref
3166
ref
nil
cons
3178
def
cons
928
remove
cons
3179
def
nil
cons
cons
825
ref
subst
eqMp
appThm
931
remove
trans
appThm
nil
794
ref
3167
ref
nil
cons
3180
def
cons
936
remove
cons
3181
def
nil
cons
cons
825
ref
subst
eqMp
appThm
943
remove
trans
appThm
nil
794
ref
3168
ref
nil
cons
3182
def
cons
948
remove
cons
3183
def
nil
cons
cons
825
ref
subst
eqMp
appThm
951
remove
trans
appThm
nil
794
ref
3169
ref
nil
cons
3184
def
cons
956
remove
cons
3185
def
nil
cons
cons
825
ref
subst
eqMp
appThm
964
remove
trans
appThm
nil
794
ref
3170
ref
nil
cons
3186
def
cons
969
remove
cons
3187
def
nil
cons
cons
825
ref
subst
eqMp
appThm
972
remove
trans
appThm
nil
794
remove
3171
ref
nil
cons
3188
def
cons
977
remove
cons
3189
def
nil
cons
cons
825
remove
subst
eqMp
3190
def
appThm
981
remove
appThm
985
remove
trans
995
remove
trans
appThm
644
remove
3172
ref
appTerm
3191
def
648
ref
650
remove
3174
ref
appTerm
appTerm
appTerm
3192
def
refl
appThm
654
remove
3172
ref
appTerm
3193
def
refl
appThm
nil
1000
ref
3193
remove
nil
cons
cons
1001
ref
3192
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
ref
subst
3191
remove
refl
1018
ref
1020
remove
3174
remove
refl
appThm
1022
remove
3190
remove
appThm
trans
1046
remove
trans
appThm
1055
ref
trans
appThm
nil
1056
ref
3189
remove
cons
nil
cons
cons
1070
ref
subst
1071
remove
nil
1056
ref
3187
remove
cons
nil
cons
cons
1070
ref
subst
1072
remove
nil
1056
ref
3185
remove
cons
nil
cons
cons
1070
ref
subst
1073
remove
nil
1056
ref
3183
remove
cons
nil
cons
cons
1070
ref
subst
1074
remove
nil
1056
ref
3181
remove
cons
nil
cons
cons
1070
ref
subst
1075
remove
nil
1056
ref
3179
remove
cons
nil
cons
cons
1070
ref
subst
1076
remove
nil
1056
ref
3177
remove
cons
nil
cons
cons
1070
ref
subst
1077
remove
nil
1056
remove
3175
remove
cons
nil
cons
cons
1070
remove
subst
1078
remove
3078
remove
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
appThm
trans
trans
trans
trans
trans
3194
def
appThm
218
ref
29
remove
3172
ref
appTerm
appTerm
refl
appThm
trans
142
ref
3172
remove
appTerm
refl
3194
remove
appThm
trans
nil
1000
ref
3188
ref
cons
2703
ref
1001
ref
3188
remove
cons
2704
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2727
ref
142
ref
3171
ref
appTerm
3171
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3186
ref
cons
2729
ref
1001
ref
3186
remove
cons
2730
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2731
ref
142
ref
3170
ref
appTerm
3170
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3184
ref
cons
2732
ref
1001
ref
3184
remove
cons
2733
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2734
ref
142
ref
3169
ref
appTerm
3169
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3182
ref
cons
2735
ref
1001
ref
3182
remove
cons
2736
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2737
ref
142
ref
3168
ref
appTerm
3168
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3180
ref
cons
2738
ref
1001
ref
3180
remove
cons
2739
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2740
ref
142
ref
3167
ref
appTerm
3167
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3178
ref
cons
2741
ref
1001
ref
3178
remove
cons
2742
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2743
ref
142
ref
3166
ref
appTerm
3166
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
3176
ref
cons
2744
ref
1001
ref
3176
remove
cons
2745
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2746
ref
142
ref
3165
ref
appTerm
3165
remove
appTerm
refl
appThm
trans
2728
ref
nil
3134
remove
2747
ref
1001
ref
3023
remove
cons
2748
ref
cons
cons
cons
nil
cons
cons
2721
ref
subst
2749
ref
142
ref
3004
ref
appTerm
3004
remove
appTerm
refl
appThm
trans
2728
ref
nil
3136
remove
3137
remove
1001
ref
3062
remove
cons
2493
ref
3063
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3138
remove
2726
ref
subst
appThm
142
ref
3003
ref
appTerm
3003
remove
appTerm
refl
appThm
trans
2728
ref
nil
3140
remove
3141
remove
1001
ref
3058
remove
cons
2493
ref
3059
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3142
remove
2726
ref
subst
appThm
142
ref
3002
ref
appTerm
3002
remove
appTerm
refl
appThm
trans
2728
ref
nil
3144
remove
3145
remove
1001
ref
3054
remove
cons
2493
ref
3055
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3146
remove
2726
ref
subst
appThm
142
ref
3001
ref
appTerm
3001
remove
appTerm
refl
appThm
trans
2728
ref
nil
3148
remove
3149
remove
1001
ref
3050
remove
cons
2493
ref
3051
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3150
remove
2726
ref
subst
appThm
142
ref
3000
ref
appTerm
3000
remove
appTerm
refl
appThm
trans
2728
ref
nil
3152
remove
3153
remove
1001
ref
3046
remove
cons
2493
ref
3047
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3154
remove
2726
ref
subst
appThm
142
ref
2999
ref
appTerm
2999
remove
appTerm
refl
appThm
trans
2728
ref
nil
3156
remove
3157
remove
1001
ref
3042
remove
cons
2493
ref
3043
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3158
remove
2726
ref
subst
appThm
142
ref
2998
ref
appTerm
2998
remove
appTerm
refl
appThm
trans
2728
ref
nil
3160
remove
3161
remove
1001
ref
3038
remove
cons
2493
ref
3039
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3162
remove
2726
ref
subst
appThm
142
ref
2997
ref
appTerm
2997
remove
appTerm
refl
appThm
trans
2728
ref
nil
2685
ref
3163
remove
2687
ref
2493
remove
3035
remove
cons
nil
cons
cons
cons
cons
nil
cons
cons
2721
ref
subst
683
ref
3164
remove
2726
remove
subst
appThm
2751
ref
appThm
trans
2755
ref
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
trans
trans
sym
80
ref
eqMp
eqMp
eqMp
nil
87
ref
3007
remove
cons
88
ref
2925
remove
cons
nil
cons
3195
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
2994
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2988
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2989
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2988
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2985
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2979
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2980
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2979
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2976
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2970
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2971
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2970
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2967
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2961
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2962
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2961
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2958
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2952
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2953
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2952
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2949
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2943
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2944
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2943
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2940
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2934
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2935
remove
appTerm
2920
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2934
remove
nil
cons
cons
3195
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2931
remove
cons
3195
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2923
ref
2722
ref
appTerm
appTerm
2920
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2924
remove
appTerm
2920
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2923
remove
nil
cons
cons
3195
remove
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
eqMp
nil
87
ref
2911
remove
cons
88
ref
2877
remove
cons
nil
cons
3196
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
87
ref
2909
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2859
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2860
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2859
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2905
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2861
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2862
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2861
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2901
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2863
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2864
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2863
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2897
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2865
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2866
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2865
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2893
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2867
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2868
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2867
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2889
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2869
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2870
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2869
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
ref
2885
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2871
ref
2722
ref
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
ref
2872
remove
appTerm
2876
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2871
remove
nil
cons
cons
3196
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
87
remove
2881
remove
cons
3196
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
45
ref
2873
ref
2722
remove
appTerm
appTerm
2876
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
45
remove
2874
remove
appTerm
2876
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
202
ref
2873
remove
nil
cons
cons
3196
remove
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
eqMp
absThm
eqMp
nil
7
ref
2850
remove
appTerm
thm
nil
229
ref
210
ref
2828
remove
absTerm
3197
def
nil
cons
cons
nil
cons
nil
cons
cons
254
ref
subst
210
ref
nil
74
ref
2829
remove
cons
nil
cons
nil
cons
cons
81
ref
subst
2827
remove
eqMp
absThm
eqMp
nil
209
ref
3197
remove
appTerm
thm
nil
229
remove
210
ref
258
remove
263
ref
220
ref
653
remove
315
ref
appTerm
3198
def
219
ref
appTerm
appTerm
3199
def
appTerm
220
ref
2217
ref
219
remove
appTerm
appTerm
3200
def
appTerm
appTerm
3201
def
260
remove
appTerm
3202
def
absTerm
3203
def
nil
cons
cons
nil
cons
nil
cons
cons
254
remove
subst
210
remove
nil
74
ref
3202
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
3201
remove
refl
335
remove
263
remove
refl
373
remove
appThm
374
remove
appThm
trans
appThm
nil
"b'"
2
ref
var
484
ref
nil
cons
cons
"a'"
2
ref
var
236
ref
nil
cons
cons
8
remove
3200
ref
nil
cons
cons
337
remove
3199
ref
nil
cons
cons
nil
cons
cons
cons
cons
nil
cons
cons
281
remove
"b'"
282
remove
var
3204
def
44
ref
288
remove
343
remove
appTerm
290
remove
"a'"
112
remove
var
3205
def
varTerm
3206
def
appTerm
3204
remove
varTerm
3207
def
appTerm
appTerm
appTerm
50
ref
190
remove
341
ref
appTerm
3206
ref
appTerm
appTerm
360
remove
342
ref
appTerm
3207
ref
appTerm
appTerm
appTerm
absTerm
3208
def
3207
ref
appTerm
3209
def
betaConv
3205
remove
347
ref
3208
ref
appTerm
3210
def
absTerm
3211
def
3206
ref
appTerm
3212
def
betaConv
339
remove
115
ref
3211
ref
appTerm
3213
def
absTerm
3214
def
342
remove
appTerm
3215
def
betaConv
340
remove
347
remove
3214
ref
appTerm
3216
def
absTerm
3217
def
341
remove
appTerm
3218
def
betaConv
nil
115
remove
3217
ref
appTerm
3219
def
axiom
nil
40
ref
3219
remove
nil
cons
cons
41
ref
3218
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
ref
116
ref
3217
remove
nil
cons
cons
354
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
3216
remove
nil
cons
cons
41
ref
3215
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
355
ref
356
ref
3214
remove
nil
cons
cons
358
remove
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
3213
remove
nil
cons
cons
41
ref
3212
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
353
remove
116
remove
3211
remove
nil
cons
cons
120
remove
3206
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
3210
remove
nil
cons
cons
41
ref
3209
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
355
remove
356
remove
3208
remove
nil
cons
cons
357
remove
3207
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
subst
subst
trans
sym
482
remove
nil
483
remove
41
ref
50
ref
211
ref
3199
remove
appTerm
236
remove
appTerm
appTerm
211
ref
3200
remove
appTerm
484
remove
appTerm
appTerm
3220
def
nil
cons
3221
def
cons
nil
cons
3222
def
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
376
ref
489
remove
3220
ref
appTerm
3223
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
376
remove
nil
74
ref
3223
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
494
remove
3222
ref
cons
nil
cons
cons
3224
def
61
ref
subst
3224
remove
125
ref
subst
496
remove
nil
497
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
377
ref
499
remove
3220
ref
appTerm
3225
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
377
remove
nil
74
ref
3225
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
502
remove
3222
ref
cons
nil
cons
cons
3226
def
61
ref
subst
3226
remove
125
ref
subst
504
remove
nil
505
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
378
ref
507
remove
3220
ref
appTerm
3227
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
378
remove
nil
74
ref
3227
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
510
remove
3222
ref
cons
nil
cons
cons
3228
def
61
ref
subst
3228
remove
125
ref
subst
512
remove
nil
513
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
379
ref
515
remove
3220
ref
appTerm
3229
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
379
remove
nil
74
ref
3229
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
518
remove
3222
ref
cons
nil
cons
cons
3230
def
61
ref
subst
3230
remove
125
ref
subst
520
remove
nil
521
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
380
ref
523
remove
3220
ref
appTerm
3231
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
380
remove
nil
74
ref
3231
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
526
remove
3222
ref
cons
nil
cons
cons
3232
def
61
ref
subst
3232
remove
125
ref
subst
528
remove
nil
529
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
381
ref
531
remove
3220
ref
appTerm
3233
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
381
remove
nil
74
ref
3233
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
534
remove
3222
ref
cons
nil
cons
cons
3234
def
61
ref
subst
3234
remove
125
ref
subst
536
remove
nil
537
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
382
ref
539
remove
3220
ref
appTerm
3235
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
382
remove
nil
74
ref
3235
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
542
remove
3222
ref
cons
nil
cons
cons
3236
def
61
ref
subst
3236
remove
125
ref
subst
544
remove
nil
545
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
383
ref
547
remove
3220
ref
appTerm
3237
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
383
remove
nil
74
ref
3237
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
550
remove
3222
ref
cons
nil
cons
cons
3238
def
61
ref
subst
3238
remove
125
ref
subst
552
remove
nil
553
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
384
ref
555
remove
3220
ref
appTerm
3239
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
384
remove
nil
74
ref
3239
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
558
remove
3222
ref
cons
nil
cons
cons
3240
def
61
ref
subst
3240
remove
125
ref
subst
560
remove
nil
561
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
385
ref
563
remove
3220
ref
appTerm
3241
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
385
remove
nil
74
ref
3241
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
566
remove
3222
ref
cons
nil
cons
cons
3242
def
61
ref
subst
3242
remove
125
ref
subst
568
remove
nil
569
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
386
ref
571
remove
3220
ref
appTerm
3243
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
386
remove
nil
74
ref
3243
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
574
remove
3222
ref
cons
nil
cons
cons
3244
def
61
ref
subst
3244
remove
125
ref
subst
576
remove
nil
577
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
387
ref
579
remove
3220
ref
appTerm
3245
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
387
remove
nil
74
ref
3245
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
582
remove
3222
ref
cons
nil
cons
cons
3246
def
61
ref
subst
3246
remove
125
ref
subst
584
remove
nil
585
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
388
ref
587
remove
3220
ref
appTerm
3247
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
388
remove
nil
74
ref
3247
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
590
remove
3222
ref
cons
nil
cons
cons
3248
def
61
ref
subst
3248
remove
125
ref
subst
592
remove
nil
593
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
389
ref
595
remove
3220
ref
appTerm
3249
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
389
remove
nil
74
ref
3249
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
598
remove
3222
ref
cons
nil
cons
cons
3250
def
61
ref
subst
3250
remove
125
ref
subst
600
remove
nil
601
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
ref
390
ref
603
remove
3220
ref
appTerm
3251
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
ref
subst
390
remove
nil
74
ref
3251
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
ref
subst
nil
606
remove
3222
ref
cons
nil
cons
cons
3252
def
61
ref
subst
3252
remove
125
ref
subst
608
remove
nil
609
remove
3222
ref
cons
nil
cons
cons
108
ref
subst
proveHyp
nil
202
remove
391
ref
611
remove
3220
ref
appTerm
3253
def
absTerm
nil
cons
cons
nil
cons
nil
cons
cons
492
remove
subst
391
remove
nil
74
remove
3253
remove
nil
cons
cons
nil
cons
nil
cons
cons
81
remove
subst
nil
614
remove
3222
ref
cons
nil
cons
cons
3254
def
61
ref
subst
3254
remove
125
ref
subst
616
remove
nil
618
remove
3222
remove
cons
nil
cons
cons
3255
def
108
ref
subst
proveHyp
3255
ref
61
remove
subst
3255
remove
125
remove
subst
44
ref
"_31115"
10
remove
var
3256
def
50
ref
211
ref
220
ref
3198
ref
218
ref
3256
remove
varTerm
3257
def
appTerm
3258
def
appTerm
appTerm
appTerm
220
ref
3258
ref
appTerm
appTerm
appTerm
211
ref
220
ref
2217
ref
3258
remove
appTerm
appTerm
appTerm
220
ref
218
remove
329
remove
3257
remove
appTerm
315
remove
appTerm
appTerm
appTerm
appTerm
appTerm
absTerm
3259
def
214
remove
appTerm
3260
def
appTerm
refl
3259
ref
445
remove
appTerm
betaConv
appThm
90
remove
3260
remove
betaConv
appThm
50
remove
211
ref
220
ref
3198
ref
625
ref
appTerm
appTerm
appTerm
626
remove
appTerm
appTerm
211
ref
220
ref
2217
ref
625
remove
appTerm
appTerm
appTerm
627
remove
appTerm
appTerm
refl
appThm
trans
3259
remove
refl
628
remove
appThm
eqMp
sym
683
remove
211
ref
refl
3261
def
629
ref
3198
remove
refl
1093
ref
appThm
2201
remove
trans
appThm
appThm
1094
remove
appThm
nil
2695
remove
2375
remove
cons
nil
cons
cons
"w2"
2
ref
var
3262
def
44
ref
142
ref
27
ref
220
ref
2377
remove
appTerm
3263
def
appTerm
appTerm
27
ref
3262
ref
varTerm
3264
def
appTerm
3265
def
appTerm
appTerm
211
ref
3263
ref
appTerm
3264
ref
appTerm
appTerm
absTerm
3266
def
220
ref
2385
remove
appTerm
3267
def
appTerm
3268
def
betaConv
"w1"
2
remove
var
3269
def
7
ref
3262
remove
44
remove
142
ref
27
ref
3269
remove
varTerm
3270
def
appTerm
appTerm
3265
remove
appTerm
appTerm
211
remove
3270
remove
appTerm
3264
remove
appTerm
appTerm
absTerm
appTerm
absTerm
3271
def
3263
ref
appTerm
3272
def
betaConv
nil
7
ref
3271
ref
appTerm
3273
def
axiom
nil
40
ref
3273
remove
nil
cons
cons
41
ref
3272
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
ref
154
ref
3271
remove
nil
cons
cons
155
ref
3263
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
ref
subst
eqMp
eqMp
nil
40
ref
7
remove
3266
ref
appTerm
nil
cons
cons
41
ref
3268
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
153
remove
154
remove
3266
remove
nil
cons
cons
155
remove
3267
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
136
remove
subst
eqMp
eqMp
sym
3274
def
subst
2702
ref
3022
remove
appThm
27
ref
220
ref
444
remove
appTerm
appTerm
refl
appThm
trans
142
ref
2373
remove
appTerm
refl
2202
remove
appThm
trans
nil
1000
ref
2412
ref
cons
2703
remove
1001
ref
2412
remove
cons
2704
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2727
remove
142
ref
2372
ref
appTerm
2372
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2410
ref
cons
2729
remove
1001
ref
2410
remove
cons
2730
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2731
remove
142
ref
2371
ref
appTerm
2371
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2408
ref
cons
2732
remove
1001
ref
2408
remove
cons
2733
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2734
remove
142
ref
2370
ref
appTerm
2370
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2406
ref
cons
2735
remove
1001
ref
2406
remove
cons
2736
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2737
remove
142
ref
2369
ref
appTerm
2369
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2404
ref
cons
2738
remove
1001
ref
2404
remove
cons
2739
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2740
remove
142
ref
2368
ref
appTerm
2368
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2402
ref
cons
2741
remove
1001
ref
2402
remove
cons
2742
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2743
remove
142
ref
2367
ref
appTerm
2367
remove
appTerm
refl
appThm
trans
2728
ref
nil
1000
ref
2400
ref
cons
2744
remove
1001
ref
2400
remove
cons
2745
remove
cons
cons
cons
nil
cons
cons
2721
ref
subst
2746
remove
142
remove
2366
ref
appTerm
2366
remove
appTerm
refl
appThm
trans
2728
remove
nil
2685
remove
2747
remove
2687
remove
2748
remove
cons
cons
cons
nil
cons
cons
2721
remove
subst
2749
remove
2751
remove
appThm
trans
2755
remove
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
appThm
trans
782
ref
trans
trans
trans
appThm
3261
remove
629
remove
2217
remove
refl
1093
remove
appThm
2238
remove
trans
appThm
appThm
2275
remove
appThm
nil
2355
remove
2284
remove
cons
2365
remove
904
remove
cons
nil
cons
cons
nil
cons
cons
3274
remove
subst
2702
remove
2196
remove
1100
remove
subst
660
remove
2239
remove
1101
remove
appThm
3014
remove
trans
3015
remove
trans
appThm
2246
remove
648
remove
1095
remove
672
remove
appTerm
appTerm
appTerm
3275
def
refl
appThm
1096
remove
436
remove
appTerm
3276
def
refl
appThm
nil
1000
remove
3276
remove
nil
cons
cons
1001
remove
3275
remove
nil
cons
cons
nil
cons
cons
nil
cons
cons
1017
remove
subst
2249
remove
1018
remove
3018
remove
2250
remove
appThm
3020
remove
897
remove
appThm
trans
3021
remove
trans
appThm
1055
remove
trans
appThm
1092
remove
trans
trans
trans
trans
appThm
27
remove
220
remove
2283
remove
appTerm
appTerm
refl
appThm
trans
2750
remove
refl
2345
remove
appThm
trans
2756
remove
trans
trans
appThm
782
remove
trans
sym
80
remove
eqMp
eqMp
eqMp
nil
2757
remove
88
remove
3221
remove
cons
nil
cons
3277
def
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
eqMp
nil
2759
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2760
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2761
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2762
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2763
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2764
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2765
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2766
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2767
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2768
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2769
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2770
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2771
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2772
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2773
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2774
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2775
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2776
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2777
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2778
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2779
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2780
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2781
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2782
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2783
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2784
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2785
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2786
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2787
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2788
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2789
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2790
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2791
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2792
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2793
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2794
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2795
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2796
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2797
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2798
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2799
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2800
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2801
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2802
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2803
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2804
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2805
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2806
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2807
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2808
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2809
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2810
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2811
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2812
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2813
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2814
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2815
remove
3277
ref
cons
nil
cons
cons
102
ref
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
ref
198
ref
203
ref
2816
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
ref
2817
remove
3220
ref
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
ref
subst
proveHyp
201
ref
2818
remove
3277
ref
cons
nil
cons
cons
1804
ref
subst
eqMp
eqMp
eqMp
nil
2819
remove
3277
ref
cons
nil
cons
cons
102
remove
subst
deductAntisym
eqMp
eqMp
absThm
eqMp
nil
40
remove
198
remove
203
remove
2820
remove
3220
ref
appTerm
absTerm
appTerm
nil
cons
cons
41
remove
2821
remove
3220
remove
appTerm
nil
cons
cons
nil
cons
cons
nil
cons
cons
108
remove
subst
proveHyp
201
remove
2822
remove
3277
remove
cons
nil
cons
cons
1804
remove
subst
eqMp
eqMp
eqMp
eqMp
absThm
eqMp
nil
209
remove
3203
remove
appTerm
thm